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 | 2430.2 | ||
Root | \(-0.997564 - 0.0697565i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 2717.2430 |
Dual form | 2717.1.db.c.142.2 |
$q$-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 \(\left(\mathbb{Z}/2717\mathbb{Z}\right)^\times\).
\(n\) | \(210\) | \(287\) | \(2224\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{9}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.194206 | + | 1.10140i | −0.194206 | + | 1.10140i | 0.719340 | + | 0.694658i | \(0.244444\pi\) |
−0.913545 | + | 0.406737i | \(0.866667\pi\) | |||||||
\(3\) | 1.47274 | + | 1.23577i | 1.47274 | + | 1.23577i | 0.913545 | + | 0.406737i | \(0.133333\pi\) |
0.559193 | + | 0.829038i | \(0.311111\pi\) | |||||||
\(4\) | −0.235663 | − | 0.0857741i | −0.235663 | − | 0.0857741i | ||||
\(5\) | 0 | 0 | 0.939693 | − | 0.342020i | \(-0.111111\pi\) | ||||
−0.939693 | + | 0.342020i | \(0.888889\pi\) | |||||||
\(6\) | −1.64709 | + | 1.38207i | −1.64709 | + | 1.38207i | ||||
\(7\) | 0.0348995 | + | 0.0604477i | 0.0348995 | + | 0.0604477i | 0.882948 | − | 0.469472i | \(-0.155556\pi\) |
−0.848048 | + | 0.529919i | \(0.822222\pi\) | |||||||
\(8\) | −0.418955 | + | 0.725651i | −0.418955 | + | 0.725651i | ||||
\(9\) | 0.468172 | + | 2.65514i | 0.468172 | + | 2.65514i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(12\) | −0.241072 | − | 0.417549i | −0.241072 | − | 0.417549i | ||||
\(13\) | −0.766044 | + | 0.642788i | −0.766044 | + | 0.642788i | ||||
\(14\) | −0.0733545 | + | 0.0266988i | −0.0733545 | + | 0.0266988i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.909979 | − | 0.763563i | −0.909979 | − | 0.763563i | ||||
\(17\) | 0 | 0 | 0.173648 | − | 0.984808i | \(-0.444444\pi\) | ||||
−0.173648 | + | 0.984808i | \(0.555556\pi\) | |||||||
\(18\) | −3.01528 | −3.01528 | ||||||||
\(19\) | 0.241922 | − | 0.970296i | 0.241922 | − | 0.970296i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.0233019 | + | 0.132152i | −0.0233019 | + | 0.132152i | ||||
\(22\) | 0.856733 | + | 0.718885i | 0.856733 | + | 0.718885i | ||||
\(23\) | −1.86110 | − | 0.677383i | −1.86110 | − | 0.677383i | −0.978148 | − | 0.207912i | \(-0.933333\pi\) |
−0.882948 | − | 0.469472i | \(-0.844444\pi\) | |||||||
\(24\) | −1.51375 | + | 0.550960i | −1.51375 | + | 0.550960i | ||||
\(25\) | 0.766044 | − | 0.642788i | 0.766044 | − | 0.642788i | ||||
\(26\) | −0.559193 | − | 0.968551i | −0.559193 | − | 0.968551i | ||||
\(27\) | −1.63039 | + | 2.82392i | −1.63039 | + | 2.82392i | ||||
\(28\) | −0.00303965 | − | 0.0172387i | −0.00303965 | − | 0.0172387i | ||||
\(29\) | 0 | 0 | −0.173648 | − | 0.984808i | \(-0.555556\pi\) | ||||
0.173648 | + | 0.984808i | \(0.444444\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(32\) | 0.375831 | − | 0.315360i | 0.375831 | − | 0.315360i | ||||
\(33\) | 1.80658 | − | 0.657542i | 1.80658 | − | 0.657542i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0.117411 | − | 0.665873i | 0.117411 | − | 0.665873i | ||||
\(37\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(38\) | 1.02170 | + | 0.454888i | 1.02170 | + | 0.454888i | ||||
\(39\) | −1.92252 | −1.92252 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 1.35275 | + | 1.13510i | 1.35275 | + | 1.13510i | 0.978148 | + | 0.207912i | \(0.0666667\pi\) |
0.374607 | + | 0.927184i | \(0.377778\pi\) | |||||||
\(42\) | −0.141026 | − | 0.0513292i | −0.141026 | − | 0.0513292i | ||||
\(43\) | 0 | 0 | 0.939693 | − | 0.342020i | \(-0.111111\pi\) | ||||
−0.939693 | + | 0.342020i | \(0.888889\pi\) | |||||||
\(44\) | −0.192114 | + | 0.161203i | −0.192114 | + | 0.161203i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.10750 | − | 1.91825i | 1.10750 | − | 1.91825i | ||||
\(47\) | 0 | 0 | −0.173648 | − | 0.984808i | \(-0.555556\pi\) | ||||
0.173648 | + | 0.984808i | \(0.444444\pi\) | |||||||
\(48\) | −0.396569 | − | 2.24906i | −0.396569 | − | 2.24906i | ||||
\(49\) | 0.497564 | − | 0.861806i | 0.497564 | − | 0.861806i | ||||
\(50\) | 0.559193 | + | 0.968551i | 0.559193 | + | 0.968551i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.235663 | − | 0.0857741i | 0.235663 | − | 0.0857741i | ||||
\(53\) | 1.35192 | + | 0.492057i | 1.35192 | + | 0.492057i | 0.913545 | − | 0.406737i | \(-0.133333\pi\) |
0.438371 | + | 0.898794i | \(0.355556\pi\) | |||||||
\(54\) | −2.79362 | − | 2.34413i | −2.79362 | − | 2.34413i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −0.0584852 | −0.0584852 | ||||||||
\(57\) | 1.55535 | − | 1.13003i | 1.55535 | − | 1.13003i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 0 | 0 | 0.173648 | − | 0.984808i | \(-0.444444\pi\) | ||||
−0.173648 | + | 0.984808i | \(0.555556\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0 | 0 | −0.939693 | − | 0.342020i | \(-0.888889\pi\) | ||||
0.939693 | + | 0.342020i | \(0.111111\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −0.144158 | + | 0.120963i | −0.144158 | + | 0.120963i | ||||
\(64\) | −0.319599 | − | 0.553562i | −0.319599 | − | 0.553562i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0.373365 | + | 2.11746i | 0.373365 | + | 2.11746i | ||||
\(67\) | 0 | 0 | −0.173648 | − | 0.984808i | \(-0.555556\pi\) | ||||
0.173648 | + | 0.984808i | \(0.444444\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −1.90381 | − | 3.29750i | −1.90381 | − | 3.29750i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 0 | 0 | 0.939693 | − | 0.342020i | \(-0.111111\pi\) | ||||
−0.939693 | + | 0.342020i | \(0.888889\pi\) | |||||||
\(72\) | −2.12284 | − | 0.772652i | −2.12284 | − | 0.772652i | ||||
\(73\) | 1.23949 | + | 1.04005i | 1.23949 | + | 1.04005i | 0.997564 | + | 0.0697565i | \(0.0222222\pi\) |
0.241922 | + | 0.970296i | \(0.422222\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 1.92252 | 1.92252 | ||||||||
\(76\) | −0.140238 | + | 0.207912i | −0.140238 | + | 0.207912i | ||||
\(77\) | 0.0697990 | 0.0697990 | ||||||||
\(78\) | 0.373365 | − | 2.11746i | 0.373365 | − | 2.11746i | ||||
\(79\) | 0 | 0 | −0.766044 | − | 0.642788i | \(-0.777778\pi\) | ||||
0.766044 | + | 0.642788i | \(0.222222\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −3.35737 | + | 1.22198i | −3.35737 | + | 1.22198i | ||||
\(82\) | −1.51290 | + | 1.26947i | −1.51290 | + | 1.26947i | ||||
\(83\) | −0.615661 | − | 1.06636i | −0.615661 | − | 1.06636i | −0.990268 | − | 0.139173i | \(-0.955556\pi\) |
0.374607 | − | 0.927184i | \(-0.377778\pi\) | |||||||
\(84\) | 0.0168266 | − | 0.0291445i | 0.0168266 | − | 0.0291445i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0.418955 | + | 0.725651i | 0.418955 | + | 0.725651i | ||||
\(89\) | 0 | 0 | 0.766044 | − | 0.642788i | \(-0.222222\pi\) | ||||
−0.766044 | + | 0.642788i | \(0.777778\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.0655896 | − | 0.0238727i | −0.0655896 | − | 0.0238727i | ||||
\(92\) | 0.380488 | + | 0.319268i | 0.380488 | + | 0.319268i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 0.943215 | 0.943215 | ||||||||
\(97\) | 0 | 0 | 0.173648 | − | 0.984808i | \(-0.444444\pi\) | ||||
−0.173648 | + | 0.984808i | \(0.555556\pi\) | |||||||
\(98\) | 0.852559 | + | 0.715382i | 0.852559 | + | 0.715382i | ||||
\(99\) | 2.53350 | + | 0.922119i | 2.53350 | + | 0.922119i | ||||
\(100\) | −0.235663 | + | 0.0857741i | −0.235663 | + | 0.0857741i | ||||
\(101\) | 0 | 0 | 0.766044 | − | 0.642788i | \(-0.222222\pi\) | ||||
−0.766044 | + | 0.642788i | \(0.777778\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0.374607 | − | 0.648838i | 0.374607 | − | 0.648838i | −0.615661 | − | 0.788011i | \(-0.711111\pi\) |
0.990268 | + | 0.139173i | \(0.0444444\pi\) | |||||||
\(104\) | −0.145501 | − | 0.825180i | −0.145501 | − | 0.825180i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −0.804499 | + | 1.39343i | −0.804499 | + | 1.39343i | ||||
\(107\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(108\) | 0.626442 | − | 0.525647i | 0.626442 | − | 0.525647i | ||||
\(109\) | −0.196449 | + | 0.0715017i | −0.196449 | + | 0.0715017i | −0.438371 | − | 0.898794i | \(-0.644444\pi\) |
0.241922 | + | 0.970296i | \(0.422222\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0.0143978 | − | 0.0816541i | 0.0143978 | − | 0.0816541i | ||||
\(113\) | −1.99513 | −1.99513 | −0.997564 | − | 0.0697565i | \(-0.977778\pi\) | ||||
−0.997564 | + | 0.0697565i | \(0.977778\pi\) | |||||||
\(114\) | 0.942552 | + | 1.93252i | 0.942552 | + | 1.93252i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −2.06533 | − | 1.73302i | −2.06533 | − | 1.73302i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 0.589531 | + | 3.34340i | 0.589531 | + | 3.34340i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −0.105232 | − | 0.182266i | −0.105232 | − | 0.182266i | ||||
\(127\) | 0 | 0 | 0.766044 | − | 0.642788i | \(-0.222222\pi\) | ||||
−0.766044 | + | 0.642788i | \(0.777778\pi\) | |||||||
\(128\) | 1.13278 | − | 0.412300i | 1.13278 | − | 0.412300i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 0 | 0 | 0.173648 | − | 0.984808i | \(-0.444444\pi\) | ||||
−0.173648 | + | 0.984808i | \(0.555556\pi\) | |||||||
\(132\) | −0.482144 | −0.482144 | ||||||||
\(133\) | 0.0670951 | − | 0.0192392i | 0.0670951 | − | 0.0192392i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 0 | 0 | −0.939693 | − | 0.342020i | \(-0.888889\pi\) | ||||
0.939693 | + | 0.342020i | \(0.111111\pi\) | |||||||
\(138\) | 4.00158 | − | 1.45646i | 4.00158 | − | 1.45646i | ||||
\(139\) | 0 | 0 | 0.766044 | − | 0.642788i | \(-0.222222\pi\) | ||||
−0.766044 | + | 0.642788i | \(0.777778\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 0.173648 | + | 0.984808i | 0.173648 | + | 0.984808i | ||||
\(144\) | 1.60134 | − | 2.77360i | 1.60134 | − | 2.77360i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −1.38622 | + | 1.16318i | −1.38622 | + | 1.16318i | ||||
\(147\) | 1.79778 | − | 0.654338i | 1.79778 | − | 0.654338i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −1.02517 | − | 0.860218i | −1.02517 | − | 0.860218i | −0.0348995 | − | 0.999391i | \(-0.511111\pi\) |
−0.990268 | + | 0.139173i | \(0.955556\pi\) | |||||||
\(150\) | −0.373365 | + | 2.11746i | −0.373365 | + | 2.11746i | ||||
\(151\) | 1.00000 | 1.00000 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(152\) | 0.602742 | + | 0.582061i | 0.602742 | + | 0.582061i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −0.0135554 | + | 0.0768763i | −0.0135554 | + | 0.0768763i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 0.453067 | + | 0.164903i | 0.453067 | + | 0.164903i | ||||
\(157\) | 1.83832 | − | 0.669092i | 1.83832 | − | 0.669092i | 0.848048 | − | 0.529919i | \(-0.177778\pi\) |
0.990268 | − | 0.139173i | \(-0.0444444\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 1.38295 | + | 2.39534i | 1.38295 | + | 2.39534i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −0.0240050 | − | 0.136139i | −0.0240050 | − | 0.136139i | ||||
\(162\) | −0.693865 | − | 3.93511i | −0.693865 | − | 3.93511i | ||||
\(163\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(164\) | −0.221432 | − | 0.383531i | −0.221432 | − | 0.383531i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 1.29405 | − | 0.470994i | 1.29405 | − | 0.470994i | ||||
\(167\) | −1.87481 | − | 0.682374i | −1.87481 | − | 0.682374i | −0.961262 | − | 0.275637i | \(-0.911111\pi\) |
−0.913545 | − | 0.406737i | \(-0.866667\pi\) | |||||||
\(168\) | −0.0861334 | − | 0.0722745i | −0.0861334 | − | 0.0722745i | ||||
\(169\) | 0.173648 | − | 0.984808i | 0.173648 | − | 0.984808i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 2.68953 | + | 0.188070i | 2.68953 | + | 0.188070i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 0 | 0 | 0.173648 | − | 0.984808i | \(-0.444444\pi\) | ||||
−0.173648 | + | 0.984808i | \(0.555556\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.0655896 | + | 0.0238727i | 0.0655896 | + | 0.0238727i | ||||
\(176\) | −1.11625 | + | 0.406283i | −1.11625 | + | 0.406283i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −0.766044 | + | 1.32683i | −0.766044 | + | 1.32683i | 0.173648 | + | 0.984808i | \(0.444444\pi\) |
−0.939693 | + | 0.342020i | \(0.888889\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 0.152245 | + | 0.863423i | 0.152245 | + | 0.863423i | 0.961262 | + | 0.275637i | \(0.0888889\pi\) |
−0.809017 | + | 0.587785i | \(0.800000\pi\) | |||||||
\(182\) | 0.0390311 | − | 0.0676039i | 0.0390311 | − | 0.0676039i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 1.27126 | − | 1.06671i | 1.27126 | − | 1.06671i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −0.227599 | −0.227599 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −0.209057 | −0.209057 | −0.104528 | − | 0.994522i | \(-0.533333\pi\) | ||||
−0.104528 | + | 0.994522i | \(0.533333\pi\) | |||||||
\(192\) | 0.213392 | − | 1.21020i | 0.213392 | − | 1.21020i | ||||
\(193\) | −1.51718 | − | 1.27306i | −1.51718 | − | 1.27306i | −0.848048 | − | 0.529919i | \(-0.822222\pi\) |
−0.669131 | − | 0.743145i | \(-0.733333\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −0.191178 | + | 0.160417i | −0.191178 | + | 0.160417i | ||||
\(197\) | 0.438371 | + | 0.759281i | 0.438371 | + | 0.759281i | 0.997564 | − | 0.0697565i | \(-0.0222222\pi\) |
−0.559193 | + | 0.829038i | \(0.688889\pi\) | |||||||
\(198\) | −1.50764 | + | 2.61131i | −1.50764 | + | 2.61131i | ||||
\(199\) | −0.0840186 | − | 0.476493i | −0.0840186 | − | 0.476493i | −0.997564 | − | 0.0697565i | \(-0.977778\pi\) |
0.913545 | − | 0.406737i | \(-0.133333\pi\) | |||||||
\(200\) | 0.145501 | + | 0.825180i | 0.145501 | + | 0.825180i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 0.641876 | + | 0.538598i | 0.641876 | + | 0.538598i | ||||
\(207\) | 0.927232 | − | 5.25859i | 0.927232 | − | 5.25859i | ||||
\(208\) | 1.18789 | 1.18789 | ||||||||
\(209\) | −0.719340 | − | 0.694658i | −0.719340 | − | 0.694658i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 0 | 0 | 0.173648 | − | 0.984808i | \(-0.444444\pi\) | ||||
−0.173648 | + | 0.984808i | \(0.555556\pi\) | |||||||
\(212\) | −0.276390 | − | 0.231919i | −0.276390 | − | 0.231919i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −1.36612 | − | 2.36619i | −1.36612 | − | 2.36619i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −0.0406000 | − | 0.230254i | −0.0406000 | − | 0.230254i | ||||
\(219\) | 0.540169 | + | 3.06345i | 0.540169 | + | 3.06345i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 0 | 0 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 0 | 0 | 0.939693 | − | 0.342020i | \(-0.111111\pi\) | ||||
−0.939693 | + | 0.342020i | \(0.888889\pi\) | |||||||
\(224\) | 0.0321791 | + | 0.0117122i | 0.0321791 | + | 0.0117122i | ||||
\(225\) | 2.06533 | + | 1.73302i | 2.06533 | + | 1.73302i | ||||
\(226\) | 0.387465 | − | 2.19742i | 0.387465 | − | 2.19742i | ||||
\(227\) | 1.61803 | 1.61803 | 0.809017 | − | 0.587785i | \(-0.200000\pi\) | ||||
0.809017 | + | 0.587785i | \(0.200000\pi\) | |||||||
\(228\) | −0.463466 | + | 0.132897i | −0.463466 | + | 0.132897i | ||||
\(229\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0.102796 | + | 0.0862558i | 0.102796 | + | 0.0862558i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 0 | 0 | 0.939693 | − | 0.342020i | \(-0.111111\pi\) | ||||
−0.939693 | + | 0.342020i | \(0.888889\pi\) | |||||||
\(234\) | 2.30984 | − | 1.93818i | 2.30984 | − | 1.93818i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −0.241922 | + | 0.419021i | −0.241922 | + | 0.419021i | −0.961262 | − | 0.275637i | \(-0.911111\pi\) |
0.719340 | + | 0.694658i | \(0.244444\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 0.943248 | − | 0.791479i | 0.943248 | − | 0.791479i | −0.0348995 | − | 0.999391i | \(-0.511111\pi\) |
0.978148 | + | 0.207912i | \(0.0666667\pi\) | |||||||
\(242\) | 1.05094 | − | 0.382510i | 1.05094 | − | 0.382510i | ||||
\(243\) | −3.39049 | − | 1.23404i | −3.39049 | − | 1.23404i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −3.79689 | −3.79689 | ||||||||
\(247\) | 0.438371 | + | 0.898794i | 0.438371 | + | 0.898794i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 0.411068 | − | 2.33128i | 0.411068 | − | 2.33128i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −0.580762 | − | 0.211380i | −0.580762 | − | 0.211380i | 0.0348995 | − | 0.999391i | \(-0.488889\pi\) |
−0.615661 | + | 0.788011i | \(0.711111\pi\) | |||||||
\(252\) | 0.0443481 | − | 0.0161414i | 0.0443481 | − | 0.0161414i | ||||
\(253\) | −1.51718 | + | 1.27306i | −1.51718 | + | 1.27306i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.123116 | + | 0.698226i | 0.123116 | + | 0.698226i | ||||
\(257\) | 0.107320 | + | 0.608645i | 0.107320 | + | 0.608645i | 0.990268 | + | 0.139173i | \(0.0444444\pi\) |
−0.882948 | + | 0.469472i | \(0.844444\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 0 | 0 | −0.766044 | − | 0.642788i | \(-0.777778\pi\) | ||||
0.766044 | + | 0.642788i | \(0.222222\pi\) | |||||||
\(264\) | −0.279730 | + | 1.58643i | −0.279730 | + | 1.58643i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 0.00815972 | + | 0.0776346i | 0.00815972 | + | 0.0776346i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −1.35275 | − | 1.13510i | −1.35275 | − | 1.13510i | −0.978148 | − | 0.207912i | \(-0.933333\pi\) |
−0.374607 | − | 0.927184i | \(-0.622222\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 0.823868 | − | 0.299864i | 0.823868 | − | 0.299864i | 0.104528 | − | 0.994522i | \(-0.466667\pi\) |
0.719340 | + | 0.694658i | \(0.244444\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −0.0670951 | − | 0.116212i | −0.0670951 | − | 0.116212i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −0.173648 | − | 0.984808i | −0.173648 | − | 0.984808i | ||||
\(276\) | 0.165817 | + | 0.940396i | 0.165817 | + | 0.940396i | ||||
\(277\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 0.823868 | + | 0.299864i | 0.823868 | + | 0.299864i | 0.719340 | − | 0.694658i | \(-0.244444\pi\) |
0.104528 | + | 0.994522i | \(0.466667\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 0 | 0 | 0.173648 | − | 0.984808i | \(-0.444444\pi\) | ||||
−0.173648 | + | 0.984808i | \(0.555556\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −1.11839 | −1.11839 | ||||||||
\(287\) | −0.0214035 | + | 0.121385i | −0.0214035 | + | 0.121385i | ||||
\(288\) | 1.01328 | + | 0.850241i | 1.01328 | + | 0.850241i | ||||
\(289\) | −0.939693 | − | 0.342020i | −0.939693 | − | 0.342020i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −0.202891 | − | 0.351417i | −0.202891 | − | 0.351417i | ||||
\(293\) | −0.939693 | + | 1.62760i | −0.939693 | + | 1.62760i | −0.173648 | + | 0.984808i | \(0.555556\pi\) |
−0.766044 | + | 0.642788i | \(0.777778\pi\) | |||||||
\(294\) | 0.371546 | + | 2.10714i | 0.371546 | + | 2.10714i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 1.63039 | + | 2.82392i | 1.63039 | + | 2.82392i | ||||
\(298\) | 1.14653 | − | 0.962055i | 1.14653 | − | 0.962055i | ||||
\(299\) | 1.86110 | − | 0.677383i | 1.86110 | − | 0.677383i | ||||
\(300\) | −0.453067 | − | 0.164903i | −0.453067 | − | 0.164903i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −0.194206 | + | 1.10140i | −0.194206 | + | 1.10140i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −0.961025 | + | 0.698226i | −0.961025 | + | 0.698226i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −1.17365 | − | 0.984808i | −1.17365 | − | 0.984808i | −0.173648 | − | 0.984808i | \(-0.555556\pi\) |
−1.00000 | \(\pi\) | |||||||||
\(308\) | −0.0164490 | − | 0.00598695i | −0.0164490 | − | 0.00598695i | ||||
\(309\) | 1.35351 | − | 0.492639i | 1.35351 | − | 0.492639i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −0.961262 | − | 1.66495i | −0.961262 | − | 1.66495i | −0.719340 | − | 0.694658i | \(-0.755556\pi\) |
−0.241922 | − | 0.970296i | \(-0.577778\pi\) | |||||||
\(312\) | 0.805450 | − | 1.39508i | 0.805450 | − | 1.39508i | ||||
\(313\) | 0.232387 | + | 1.31793i | 0.232387 | + | 1.31793i | 0.848048 | + | 0.529919i | \(0.177778\pi\) |
−0.615661 | + | 0.788011i | \(0.711111\pi\) | |||||||
\(314\) | 0.379924 | + | 2.15465i | 0.379924 | + | 2.15465i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 0 | 0 | 0.766044 | − | 0.642788i | \(-0.222222\pi\) | ||||
−0.766044 | + | 0.642788i | \(0.777778\pi\) | |||||||
\(318\) | −2.90679 | + | 1.05798i | −2.90679 | + | 1.05798i | ||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0.154605 | 0.154605 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | 0.896021 | 0.896021 | ||||||||
\(325\) | −0.173648 | + | 0.984808i | −0.173648 | + | 0.984808i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −0.377678 | − | 0.137464i | −0.377678 | − | 0.137464i | ||||
\(328\) | −1.39043 | + | 0.506074i | −1.39043 | + | 0.506074i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(332\) | 0.0536225 | + | 0.304108i | 0.0536225 | + | 0.304108i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 1.11566 | − | 1.93238i | 1.11566 | − | 1.93238i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 0.122110 | − | 0.102463i | 0.122110 | − | 0.102463i | ||||
\(337\) | 0 | 0 | 0.939693 | − | 0.342020i | \(-0.111111\pi\) | ||||
−0.939693 | + | 0.342020i | \(0.888889\pi\) | |||||||
\(338\) | 1.05094 | + | 0.382510i | 1.05094 | + | 0.382510i | ||||
\(339\) | −2.93830 | − | 2.46553i | −2.93830 | − | 2.46553i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 0 | 0 | ||||||||
\(342\) | −0.729461 | + | 2.92571i | −0.729461 | + | 2.92571i | ||||
\(343\) | 0.139258 | 0.139258 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 0 | 0 | 0.939693 | − | 0.342020i | \(-0.111111\pi\) | ||||
−0.939693 | + | 0.342020i | \(0.888889\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −0.374607 | − | 0.648838i | −0.374607 | − | 0.648838i | 0.615661 | − | 0.788011i | \(-0.288889\pi\) |
−0.990268 | + | 0.139173i | \(0.955556\pi\) | |||||||
\(350\) | −0.0390311 | + | 0.0676039i | −0.0390311 | + | 0.0676039i | ||||
\(351\) | −0.566229 | − | 3.21125i | −0.566229 | − | 3.21125i | ||||
\(352\) | −0.0851941 | − | 0.483160i | −0.0851941 | − | 0.483160i | ||||
\(353\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −1.31259 | − | 1.10140i | −1.31259 | − | 1.10140i | ||||
\(359\) | −0.343916 | + | 1.95045i | −0.343916 | + | 1.95045i | −0.0348995 | + | 0.999391i | \(0.511111\pi\) |
−0.309017 | + | 0.951057i | \(0.600000\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −0.882948 | − | 0.469472i | −0.882948 | − | 0.469472i | ||||
\(362\) | −0.980536 | −0.980536 | ||||||||
\(363\) | 0.333843 | − | 1.89332i | 0.333843 | − | 1.89332i | ||||
\(364\) | 0.0134094 | + | 0.0112518i | 0.0134094 | + | 0.0112518i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −1.23949 | + | 1.04005i | −1.23949 | + | 1.04005i | −0.241922 | + | 0.970296i | \(0.577778\pi\) |
−0.997564 | + | 0.0697565i | \(0.977778\pi\) | |||||||
\(368\) | 1.17633 | + | 2.03747i | 1.17633 | + | 2.03747i | ||||
\(369\) | −2.38051 | + | 4.12317i | −2.38051 | + | 4.12317i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 0.0174375 | + | 0.0988928i | 0.0174375 | + | 0.0988928i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | 0.0442011 | − | 0.250677i | 0.0442011 | − | 0.250677i | ||||
\(379\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 0.0406000 | − | 0.230254i | 0.0406000 | − | 0.230254i | ||||
\(383\) | 0 | 0 | −0.766044 | − | 0.642788i | \(-0.777778\pi\) | ||||
0.766044 | + | 0.642788i | \(0.222222\pi\) | |||||||
\(384\) | 2.17780 | + | 0.792655i | 2.17780 | + | 0.792655i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 1.69679 | − | 1.42378i | 1.69679 | − | 1.42378i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 0.317271 | + | 1.79933i | 0.317271 | + | 1.79933i | 0.559193 | + | 0.829038i | \(0.311111\pi\) |
−0.241922 | + | 0.970296i | \(0.577778\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0 | 0 | ||||||||
\(392\) | 0.416914 | + | 0.722116i | 0.416914 | + | 0.722116i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −0.921403 | + | 0.335363i | −0.921403 | + | 0.335363i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −0.517957 | − | 0.434618i | −0.517957 | − | 0.434618i | ||||
\(397\) | 0 | 0 | 0.173648 | − | 0.984808i | \(-0.444444\pi\) | ||||
−0.173648 | + | 0.984808i | \(0.555556\pi\) | |||||||
\(398\) | 0.541124 | 0.541124 | ||||||||
\(399\) | 0.122589 | + | 0.0545801i | 0.122589 | + | 0.0545801i | ||||
\(400\) | −1.18789 | −1.18789 | ||||||||
\(401\) | 0 | 0 | 0.173648 | − | 0.984808i | \(-0.444444\pi\) | ||||
−0.173648 | + | 0.984808i | \(0.555556\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −0.0603074 | − | 0.342020i | −0.0603074 | − | 0.342020i | 0.939693 | − | 0.342020i | \(-0.111111\pi\) |
−1.00000 | \(\pi\) | |||||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −0.143934 | + | 0.120775i | −0.143934 | + | 0.120775i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 5.61172 | + | 2.04250i | 5.61172 | + | 2.04250i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −0.0851941 | + | 0.483160i | −0.0851941 | + | 0.483160i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.904793 | − | 0.657371i | 0.904793 | − | 0.657371i | ||||
\(419\) | 1.33826 | 1.33826 | 0.669131 | − | 0.743145i | \(-0.266667\pi\) | ||||
0.669131 | + | 0.743145i | \(0.266667\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 0 | 0 | −0.766044 | − | 0.642788i | \(-0.777778\pi\) | ||||
0.766044 | + | 0.642788i | \(0.222222\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −0.923454 | + | 0.774870i | −0.923454 | + | 0.774870i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −0.961262 | + | 1.66495i | −0.961262 | + | 1.66495i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 0.573931 | − | 0.481585i | 0.573931 | − | 0.481585i | −0.309017 | − | 0.951057i | \(-0.600000\pi\) |
0.882948 | + | 0.469472i | \(0.155556\pi\) | |||||||
\(432\) | 3.63986 | − | 1.32480i | 3.63986 | − | 1.32480i | ||||
\(433\) | 0.454664 | + | 0.165484i | 0.454664 | + | 0.165484i | 0.559193 | − | 0.829038i | \(-0.311111\pi\) |
−0.104528 | + | 0.994522i | \(0.533333\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0.0524287 | 0.0524287 | ||||||||
\(437\) | −1.10750 | + | 1.64194i | −1.10750 | + | 1.64194i | ||||
\(438\) | −3.47897 | −3.47897 | ||||||||
\(439\) | 0 | 0 | 0.173648 | − | 0.984808i | \(-0.444444\pi\) | ||||
−0.173648 | + | 0.984808i | \(0.555556\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 2.52116 | + | 0.917627i | 2.52116 | + | 0.917627i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −0.943248 | + | 0.791479i | −0.943248 | + | 0.791479i | −0.978148 | − | 0.207912i | \(-0.933333\pi\) |
0.0348995 | + | 0.999391i | \(0.488889\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −0.446769 | − | 2.53375i | −0.446769 | − | 2.53375i | ||||
\(448\) | 0.0223077 | − | 0.0386381i | 0.0223077 | − | 0.0386381i | ||||
\(449\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(450\) | −2.30984 | + | 1.93818i | −2.30984 | + | 1.93818i | ||||
\(451\) | 1.65940 | − | 0.603972i | 1.65940 | − | 0.603972i | ||||
\(452\) | 0.470177 | + | 0.171130i | 0.470177 | + | 0.171130i | ||||
\(453\) | 1.47274 | + | 1.23577i | 1.47274 | + | 1.23577i | ||||
\(454\) | −0.314231 | + | 1.78209i | −0.314231 | + | 1.78209i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0.168385 | + | 1.60208i | 0.168385 | + | 1.60208i | ||||
\(457\) | 0.483844 | 0.483844 | 0.241922 | − | 0.970296i | \(-0.422222\pi\) | ||||
0.241922 | + | 0.970296i | \(0.422222\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 1.71690 | − | 0.624902i | 1.71690 | − | 0.624902i | 0.719340 | − | 0.694658i | \(-0.244444\pi\) |
0.997564 | + | 0.0697565i | \(0.0222222\pi\) | |||||||
\(462\) | −0.114965 | + | 0.0964673i | −0.114965 | + | 0.0964673i | ||||
\(463\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −0.173648 | + | 0.300767i | −0.173648 | + | 0.300767i | −0.939693 | − | 0.342020i | \(-0.888889\pi\) |
0.766044 | + | 0.642788i | \(0.222222\pi\) | |||||||
\(468\) | 0.338073 | + | 0.585559i | 0.338073 | + | 0.585559i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 3.53421 | + | 1.28635i | 3.53421 | + | 1.28635i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 0 | 0 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.438371 | − | 0.898794i | −0.438371 | − | 0.898794i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −0.673550 | + | 3.81989i | −0.673550 | + | 3.81989i | ||||
\(478\) | −0.414525 | − | 0.347828i | −0.414525 | − | 0.347828i | ||||
\(479\) | −1.76604 | − | 0.642788i | −1.76604 | − | 0.642788i | −0.766044 | − | 0.642788i | \(-0.777778\pi\) |
−1.00000 | \(\pi\) | |||||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0 | 0 | ||||||||
\(482\) | 0.688547 | + | 1.19260i | 0.688547 | + | 1.19260i | ||||
\(483\) | 0.132884 | − | 0.230162i | 0.132884 | − | 0.230162i | ||||
\(484\) | 0.0435487 | + | 0.246977i | 0.0435487 | + | 0.246977i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 2.01761 | − | 3.49461i | 2.01761 | − | 3.49461i | ||||
\(487\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 0 | 0 | −0.766044 | − | 0.642788i | \(-0.777778\pi\) | ||||
0.766044 | + | 0.642788i | \(0.222222\pi\) | |||||||
\(492\) | 0.147847 | − | 0.838480i | 0.147847 | − | 0.838480i | ||||
\(493\) | 0 | 0 | ||||||||
\(494\) | −1.07506 | + | 0.308269i | −1.07506 | + | 0.308269i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 2.48783 | + | 0.905497i | 2.48783 | + | 0.905497i | ||||
\(499\) | 0 | 0 | 0.939693 | − | 0.342020i | \(-0.111111\pi\) | ||||
−0.939693 | + | 0.342020i | \(0.888889\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −1.91784 | − | 3.32180i | −1.91784 | − | 3.32180i | ||||
\(502\) | 0.345600 | − | 0.598597i | 0.345600 | − | 0.598597i | ||||
\(503\) | 0 | 0 | −0.173648 | − | 0.984808i | \(-0.555556\pi\) | ||||
0.173648 | + | 0.984808i | \(0.444444\pi\) | |||||||
\(504\) | −0.0273812 | − | 0.155286i | −0.0273812 | − | 0.155286i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −1.10750 | − | 1.91825i | −1.10750 | − | 1.91825i | ||||
\(507\) | 1.47274 | − | 1.23577i | 1.47274 | − | 1.23577i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 0 | 0 | −0.939693 | − | 0.342020i | \(-0.888889\pi\) | ||||
0.939693 | + | 0.342020i | \(0.111111\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −0.0196113 | + | 0.111221i | −0.0196113 | + | 0.111221i | ||||
\(512\) | 0.412551 | 0.412551 | ||||||||
\(513\) | 2.34561 | + | 2.26513i | 2.34561 | + | 2.26513i | ||||
\(514\) | −0.691200 | −0.691200 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 0.978148 | − | 1.69420i | 0.978148 | − | 1.69420i | 0.309017 | − | 0.951057i | \(-0.400000\pi\) |
0.669131 | − | 0.743145i | \(-0.266667\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 0 | 0 | −0.173648 | − | 0.984808i | \(-0.555556\pi\) | ||||
0.173648 | + | 0.984808i | \(0.444444\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0.0670951 | + | 0.116212i | 0.0670951 | + | 0.116212i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 0 | 0 | ||||||||
\(528\) | −2.14602 | − | 0.781089i | −2.14602 | − | 0.781089i | ||||
\(529\) | 2.23878 | + | 1.87856i | 2.23878 | + | 1.87856i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −0.0174620 | − | 0.00122106i | −0.0174620 | − | 0.00122106i | ||||
\(533\) | −1.76590 | −1.76590 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −2.76784 | + | 1.00741i | −2.76784 | + | 1.00741i | ||||
\(538\) | 1.51290 | − | 1.26947i | 1.51290 | − | 1.26947i | ||||
\(539\) | −0.497564 | − | 0.861806i | −0.497564 | − | 0.861806i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −0.294524 | − | 1.67033i | −0.294524 | − | 1.67033i | −0.669131 | − | 0.743145i | \(-0.733333\pi\) |
0.374607 | − | 0.927184i | \(-0.377778\pi\) | |||||||
\(542\) | 0.170268 | + | 0.965640i | 0.170268 | + | 0.965640i | ||||
\(543\) | −0.842779 | + | 1.45974i | −0.842779 | + | 1.45974i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 0.141026 | − | 0.0513292i | 0.141026 | − | 0.0513292i | ||||
\(547\) | 0 | 0 | −0.939693 | − | 0.342020i | \(-0.888889\pi\) | ||||
0.939693 | + | 0.342020i | \(0.111111\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 1.11839 | 1.11839 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | 3.19045 | 3.19045 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 1.35275 | − | 1.13510i | 1.35275 | − | 1.13510i | 0.374607 | − | 0.927184i | \(-0.377778\pi\) |
0.978148 | − | 0.207912i | \(-0.0666667\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0 | 0 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −0.490268 | + | 0.849169i | −0.490268 | + | 0.849169i | ||||
\(563\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −0.191037 | − | 0.160299i | −0.191037 | − | 0.160299i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(572\) | 0.0435487 | − | 0.246977i | 0.0435487 | − | 0.246977i | ||||
\(573\) | −0.307886 | − | 0.258347i | −0.307886 | − | 0.258347i | ||||
\(574\) | −0.129536 | − | 0.0471474i | −0.129536 | − | 0.0471474i | ||||
\(575\) | −1.86110 | + | 0.677383i | −1.86110 | + | 0.677383i | ||||
\(576\) | 1.32015 | − | 1.10774i | 1.32015 | − | 1.10774i | ||||
\(577\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(578\) | 0.559193 | − | 0.968551i | 0.559193 | − | 0.968551i | ||||
\(579\) | −0.661187 | − | 3.74978i | −0.661187 | − | 3.74978i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 0.0429726 | − | 0.0744306i | 0.0429726 | − | 0.0744306i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 1.10209 | − | 0.924765i | 1.10209 | − | 0.924765i | ||||
\(584\) | −1.27400 | + | 0.463699i | −1.27400 | + | 0.463699i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −1.61013 | − | 1.35106i | −1.61013 | − | 1.35106i | ||||
\(587\) | 0 | 0 | 0.173648 | − | 0.984808i | \(-0.444444\pi\) | ||||
−0.173648 | + | 0.984808i | \(0.555556\pi\) | |||||||
\(588\) | −0.479795 | −0.479795 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −0.292694 | + | 1.65995i | −0.292694 | + | 1.65995i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −1.83832 | − | 0.669092i | −1.83832 | − | 0.669092i | −0.990268 | − | 0.139173i | \(-0.955556\pi\) |
−0.848048 | − | 0.529919i | \(-0.822222\pi\) | |||||||
\(594\) | −3.42689 | + | 1.24728i | −3.42689 | + | 1.24728i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 0.167809 | + | 0.290654i | 0.167809 | + | 0.290654i | ||||
\(597\) | 0.465101 | − | 0.805578i | 0.465101 | − | 0.805578i | ||||
\(598\) | 0.384631 | + | 2.18135i | 0.384631 | + | 2.18135i | ||||
\(599\) | 0.194206 | + | 1.10140i | 0.194206 | + | 1.10140i | 0.913545 | + | 0.406737i | \(0.133333\pi\) |
−0.719340 | + | 0.694658i | \(0.755556\pi\) | |||||||
\(600\) | −0.805450 | + | 1.39508i | −0.805450 | + | 1.39508i | ||||
\(601\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −0.235663 | − | 0.0857741i | −0.235663 | − | 0.0857741i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(608\) | −0.215071 | − | 0.440960i | −0.215071 | − | 0.440960i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 0 | 0 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −1.87481 | + | 0.682374i | −1.87481 | + | 0.682374i | −0.913545 | + | 0.406737i | \(0.866667\pi\) |
−0.961262 | + | 0.275637i | \(0.911111\pi\) | |||||||
\(614\) | 1.31259 | − | 1.10140i | 1.31259 | − | 1.10140i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −0.0292426 | + | 0.0506497i | −0.0292426 | + | 0.0506497i | ||||
\(617\) | 0 | 0 | −0.173648 | − | 0.984808i | \(-0.555556\pi\) | ||||
0.173648 | + | 0.984808i | \(0.444444\pi\) | |||||||
\(618\) | 0.279730 | + | 1.58643i | 0.279730 | + | 1.58643i | ||||
\(619\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 4.94719 | − | 4.15119i | 4.94719 | − | 4.15119i | ||||
\(622\) | 2.02045 | − | 0.735385i | 2.02045 | − | 0.735385i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 1.74946 | + | 1.46797i | 1.74946 | + | 1.46797i | ||||
\(625\) | 0.173648 | − | 0.984808i | 0.173648 | − | 0.984808i | ||||
\(626\) | −1.49669 | −1.49669 | ||||||||
\(627\) | −0.200958 | − | 1.91199i | −0.200958 | − | 1.91199i | ||||
\(628\) | −0.490613 | −0.490613 | ||||||||
\(629\) | 0 | 0 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 0 | 0 | −0.939693 | − | 0.342020i | \(-0.888889\pi\) | ||||
0.939693 | + | 0.342020i | \(0.111111\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −0.120451 | − | 0.683112i | −0.120451 | − | 0.683112i | ||||
\(637\) | 0.172802 | + | 0.980010i | 0.172802 | + | 0.980010i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 0.704030 | − | 0.256246i | 0.704030 | − | 0.256246i | 0.0348995 | − | 0.999391i | \(-0.488889\pi\) |
0.669131 | + | 0.743145i | \(0.266667\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 0 | 0 | −0.766044 | − | 0.642788i | \(-0.777778\pi\) | ||||
0.766044 | + | 0.642788i | \(0.222222\pi\) | |||||||
\(644\) | −0.00602014 | + | 0.0341419i | −0.00602014 | + | 0.0341419i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 0.876742 | 0.876742 | 0.438371 | − | 0.898794i | \(-0.355556\pi\) | ||||
0.438371 | + | 0.898794i | \(0.355556\pi\) | |||||||
\(648\) | 0.519853 | − | 2.94823i | 0.519853 | − | 2.94823i | ||||
\(649\) | 0 | 0 | ||||||||
\(650\) | −1.05094 | − | 0.382510i | −1.05094 | − | 0.382510i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 0.939693 | + | 1.62760i | 0.939693 | + | 1.62760i | 0.766044 | + | 0.642788i | \(0.222222\pi\) |
0.173648 | + | 0.984808i | \(0.444444\pi\) | |||||||
\(654\) | 0.224749 | − | 0.389277i | 0.224749 | − | 0.389277i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −0.364261 | − | 2.06583i | −0.364261 | − | 2.06583i | ||||
\(657\) | −2.18119 | + | 3.77793i | −2.18119 | + | 3.77793i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 0 | 0 | 0.766044 | − | 0.642788i | \(-0.222222\pi\) | ||||
−0.766044 | + | 0.642788i | \(0.777778\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 0 | 0 | −0.939693 | − | 0.342020i | \(-0.888889\pi\) | ||||
0.939693 | + | 0.342020i | \(0.111111\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 1.03174 | 1.03174 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0 | 0 | ||||||||
\(668\) | 0.383292 | + | 0.321620i | 0.383292 | + | 0.321620i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 0 | 0 | ||||||||
\(672\) | 0.0329177 | + | 0.0570152i | 0.0329177 | + | 0.0570152i | ||||
\(673\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0.566229 | + | 3.21125i | 0.566229 | + | 3.21125i | ||||
\(676\) | −0.125393 | + | 0.217188i | −0.125393 | + | 0.217188i | ||||
\(677\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(678\) | 3.28615 | − | 2.75741i | 3.28615 | − | 2.75741i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 2.38294 | + | 1.99952i | 2.38294 | + | 1.99952i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(684\) | −0.617690 | − | 0.275013i | −0.617690 | − | 0.275013i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −0.0270447 | + | 0.153378i | −0.0270447 | + | 0.153378i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −1.35192 | + | 0.492057i | −1.35192 | + | 0.492057i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0.0326779 | + | 0.185326i | 0.0326779 | + | 0.185326i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0 | 0 | ||||||||
\(698\) | 0.787377 | − | 0.286582i | 0.787377 | − | 0.286582i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −0.0134094 | − | 0.0112518i | −0.0134094 | − | 0.0112518i | ||||
\(701\) | 0 | 0 | 0.173648 | − | 0.984808i | \(-0.444444\pi\) | ||||
−0.173648 | + | 0.984808i | \(0.555556\pi\) | |||||||
\(702\) | 3.64682 | 3.64682 | ||||||||
\(703\) | 0 | 0 | ||||||||
\(704\) | −0.639198 | −0.639198 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 0 | 0 | 0.766044 | − | 0.642788i | \(-0.222222\pi\) | ||||
−0.766044 | + | 0.642788i | \(0.777778\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 0 | 0 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 0.294335 | − | 0.246977i | 0.294335 | − | 0.246977i | ||||
\(717\) | −0.874103 | + | 0.318147i | −0.874103 | + | 0.318147i | ||||
\(718\) | −2.08142 | − | 0.757576i | −2.08142 | − | 0.757576i | ||||
\(719\) | −1.43969 | − | 1.20805i | −1.43969 | − | 1.20805i | −0.939693 | − | 0.342020i | \(-0.888889\pi\) |
−0.500000 | − | 0.866025i | \(-0.666667\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0.0522943 | 0.0522943 | ||||||||
\(722\) | 0.688547 | − | 0.881300i | 0.688547 | − | 0.881300i | ||||
\(723\) | 2.36725 | 2.36725 | ||||||||
\(724\) | 0.0381810 | − | 0.216535i | 0.0381810 | − | 0.216535i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 2.02045 | + | 0.735385i | 2.02045 | + | 0.735385i | ||||
\(727\) | −0.0655896 | + | 0.0238727i | −0.0655896 | + | 0.0238727i | −0.374607 | − | 0.927184i | \(-0.622222\pi\) |
0.309017 | + | 0.951057i | \(0.400000\pi\) | |||||||
\(728\) | 0.0448023 | − | 0.0375936i | 0.0448023 | − | 0.0375936i | ||||
\(729\) | −1.68189 | − | 2.91312i | −1.68189 | − | 2.91312i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 0 | 0 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −0.615661 | + | 1.06636i | −0.615661 | + | 1.06636i | 0.374607 | + | 0.927184i | \(0.377778\pi\) |
−0.990268 | + | 0.139173i | \(0.955556\pi\) | |||||||
\(734\) | −0.904793 | − | 1.56715i | −0.904793 | − | 1.56715i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −0.913078 | + | 0.332333i | −0.913078 | + | 0.332333i | ||||
\(737\) | 0 | 0 | ||||||||
\(738\) | −4.07893 | − | 3.42263i | −4.07893 | − | 3.42263i | ||||
\(739\) | 0.306644 | − | 1.73907i | 0.306644 | − | 1.73907i | −0.309017 | − | 0.951057i | \(-0.600000\pi\) |
0.615661 | − | 0.788011i | \(-0.288889\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −0.465101 | + | 1.86542i | −0.465101 | + | 1.86542i | ||||
\(742\) | −0.112306 | −0.112306 | ||||||||
\(743\) | −0.266044 | + | 1.50881i | −0.266044 | + | 1.50881i | 0.500000 | + | 0.866025i | \(0.333333\pi\) |
−0.766044 | + | 0.642788i | \(0.777778\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 2.54309 | − | 2.13390i | 2.54309 | − | 2.13390i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 0.317271 | + | 1.79933i | 0.317271 | + | 1.79933i | 0.559193 | + | 0.829038i | \(0.311111\pi\) |
−0.241922 | + | 0.970296i | \(0.577778\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −0.594092 | − | 1.02900i | −0.594092 | − | 1.02900i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 0.0536367 | + | 0.0195222i | 0.0536367 | + | 0.0195222i | ||||
\(757\) | 0.473442 | + | 0.397265i | 0.473442 | + | 0.397265i | 0.848048 | − | 0.529919i | \(-0.177778\pi\) |
−0.374607 | + | 0.927184i | \(0.622222\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −3.80763 | −3.80763 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −1.69610 | −1.69610 | −0.848048 | − | 0.529919i | \(-0.822222\pi\) | ||||
−0.848048 | + | 0.529919i | \(0.822222\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −0.0111781 | − | 0.00937953i | −0.0111781 | − | 0.00937953i | ||||
\(764\) | 0.0492669 | + | 0.0179317i | 0.0492669 | + | 0.0179317i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | −0.681532 | + | 1.18045i | −0.681532 | + | 1.18045i | ||||
\(769\) | 0.306644 | + | 1.73907i | 0.306644 | + | 1.73907i | 0.615661 | + | 0.788011i | \(0.288889\pi\) |
−0.309017 | + | 0.951057i | \(0.600000\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −0.594092 | + | 1.02900i | −0.594092 | + | 1.02900i | ||||
\(772\) | 0.248346 | + | 0.430148i | 0.248346 | + | 0.430148i | ||||
\(773\) | 0 | 0 | 0.766044 | − | 0.642788i | \(-0.222222\pi\) | ||||
−0.766044 | + | 0.642788i | \(0.777778\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −2.04339 | −2.04339 | ||||||||
\(779\) | 1.42864 | − | 1.03797i | 1.42864 | − | 1.03797i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0 | 0 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −1.11082 | + | 0.404304i | −1.11082 | + | 0.404304i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 0.0348995 | − | 0.0604477i | 0.0348995 | − | 0.0604477i | −0.848048 | − | 0.529919i | \(-0.822222\pi\) |
0.882948 | + | 0.469472i | \(0.155556\pi\) | |||||||
\(788\) | −0.0381810 | − | 0.216535i | −0.0381810 | − | 0.216535i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −0.0696290 | − | 0.120601i | −0.0696290 | − | 0.120601i | ||||
\(792\) | −1.73056 | + | 1.45211i | −1.73056 | + | 1.45211i | ||||
\(793\) | 0 | 0 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −0.0210708 | + | 0.119498i | −0.0210708 | + | 0.119498i | ||||
\(797\) | −1.87939 | −1.87939 | −0.939693 | − | 0.342020i | \(-0.888889\pi\) | ||||
−0.939693 | + | 0.342020i | \(0.888889\pi\) | |||||||
\(798\) | −0.0839217 | + | 0.124419i | −0.0839217 | + | 0.124419i | ||||
\(799\) | 0 | 0 | ||||||||
\(800\) | 0.0851941 | − | 0.483160i | 0.0851941 | − | 0.483160i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 1.52045 | − | 0.553400i | 1.52045 | − | 0.553400i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −0.589531 | − | 3.34340i | −0.589531 | − | 3.34340i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −1.29929 | + | 1.09023i | −1.29929 | + | 1.09023i | −0.309017 | + | 0.951057i | \(0.600000\pi\) |
−0.990268 | + | 0.139173i | \(0.955556\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 1.58391 | + | 0.576495i | 1.58391 | + | 0.576495i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0 | 0 | ||||||||
\(818\) | 0.388411 | 0.388411 | ||||||||
\(819\) | 0.0326779 | − | 0.185326i | 0.0326779 | − | 0.185326i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −0.939693 | − | 0.342020i | −0.939693 | − | 0.342020i | −0.173648 | − | 0.984808i | \(-0.555556\pi\) |
−0.766044 | + | 0.642788i | \(0.777778\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 0.473442 | − | 0.397265i | 0.473442 | − | 0.397265i | −0.374607 | − | 0.927184i | \(-0.622222\pi\) |
0.848048 | + | 0.529919i | \(0.177778\pi\) | |||||||
\(824\) | 0.313886 | + | 0.543667i | 0.313886 | + | 0.543667i | ||||
\(825\) | 0.961262 | − | 1.66495i | 0.961262 | − | 1.66495i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −0.317271 | − | 1.79933i | −0.317271 | − | 1.79933i | −0.559193 | − | 0.829038i | \(-0.688889\pi\) |
0.241922 | − | 0.970296i | \(-0.422222\pi\) | |||||||
\(828\) | −0.669565 | + | 1.15972i | −0.669565 | + | 1.15972i | ||||
\(829\) | −0.309017 | − | 0.535233i | −0.309017 | − | 0.535233i | 0.669131 | − | 0.743145i | \(-0.266667\pi\) |
−0.978148 | + | 0.207912i | \(0.933333\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0.600650 | + | 0.218619i | 0.600650 | + | 0.218619i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 0.109938 | + | 0.225406i | 0.109938 | + | 0.225406i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −0.259898 | + | 1.47395i | −0.259898 | + | 1.47395i | ||||
\(839\) | 0 | 0 | −0.766044 | − | 0.642788i | \(-0.777778\pi\) | ||||
0.766044 | + | 0.642788i | \(0.222222\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −0.939693 | + | 0.342020i | −0.939693 | + | 0.342020i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 0.842779 | + | 1.45974i | 0.842779 | + | 1.45974i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 0.0348995 | − | 0.0604477i | 0.0348995 | − | 0.0604477i | ||||
\(848\) | −0.854499 | − | 1.48003i | −0.854499 | − | 1.48003i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 0 | 0 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −0.194206 | + | 1.10140i | −0.194206 | + | 1.10140i | 0.719340 | + | 0.694658i | \(0.244444\pi\) |
−0.913545 | + | 0.406737i | \(0.866667\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 0 | 0 | 0.173648 | − | 0.984808i | \(-0.444444\pi\) | ||||
−0.173648 | + | 0.984808i | \(0.555556\pi\) | |||||||
\(858\) | −1.64709 | − | 1.38207i | −1.64709 | − | 1.38207i | ||||
\(859\) | −0.823868 | − | 0.299864i | −0.823868 | − | 0.299864i | −0.104528 | − | 0.994522i | \(-0.533333\pi\) |
−0.719340 | + | 0.694658i | \(0.755556\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −0.181526 | + | 0.152319i | −0.181526 | + | 0.152319i | ||||
\(862\) | 0.418955 | + | 0.725651i | 0.418955 | + | 0.725651i | ||||
\(863\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(864\) | 0.277799 | + | 1.57548i | 0.277799 | + | 1.57548i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −0.270562 | + | 0.468627i | −0.270562 | + | 0.468627i | ||||
\(867\) | −0.961262 | − | 1.66495i | −0.961262 | − | 1.66495i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0 | 0 | ||||||||
\(872\) | 0.0304181 | − | 0.172510i | 0.0304181 | − | 0.172510i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −1.59334 | − | 1.53867i | −1.59334 | − | 1.53867i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0.135467 | − | 0.768273i | 0.135467 | − | 0.768273i | ||||
\(877\) | 1.23949 | + | 1.04005i | 1.23949 | + | 1.04005i | 0.997564 | + | 0.0697565i | \(0.0222222\pi\) |
0.241922 | + | 0.970296i | \(0.422222\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −3.39526 | + | 1.23577i | −3.39526 | + | 1.23577i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 0.719340 | + | 1.24593i | 0.719340 | + | 1.24593i | 0.961262 | + | 0.275637i | \(0.0888889\pi\) |
−0.241922 | + | 0.970296i | \(0.577778\pi\) | |||||||
\(882\) | −1.50029 | + | 2.59858i | −1.50029 | + | 2.59858i | ||||
\(883\) | 0.333843 | + | 1.89332i | 0.333843 | + | 1.89332i | 0.438371 | + | 0.898794i | \(0.355556\pi\) |
−0.104528 | + | 0.994522i | \(0.533333\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −0.688547 | − | 1.19260i | −0.688547 | − | 1.19260i | ||||
\(887\) | 0 | 0 | 0.766044 | − | 0.642788i | \(-0.222222\pi\) | ||||
−0.766044 | + | 0.642788i | \(0.777778\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −0.620417 | + | 3.51856i | −0.620417 | + | 3.51856i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | 2.87743 | 2.87743 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 0.0644561 | + | 0.0540851i | 0.0644561 | + | 0.0540851i | ||||
\(897\) | 3.57800 | + | 1.30229i | 3.57800 | + | 1.30229i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 0 | 0 | ||||||||
\(900\) | −0.338073 | − | 0.585559i | −0.338073 | − | 0.585559i | ||||
\(901\) | 0 | 0 | ||||||||
\(902\) | 0.342947 | + | 1.94495i | 0.342947 | + | 1.94495i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 0.835868 | − | 1.44777i | 0.835868 | − | 1.44777i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −1.64709 | + | 1.38207i | −1.64709 | + | 1.38207i | ||||
\(907\) | −0.580762 | + | 0.211380i | −0.580762 | + | 0.211380i | −0.615661 | − | 0.788011i | \(-0.711111\pi\) |
0.0348995 | + | 0.999391i | \(0.488889\pi\) | |||||||
\(908\) | −0.381310 | − | 0.138785i | −0.381310 | − | 0.138785i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 1.98054 | 1.98054 | 0.990268 | − | 0.139173i | \(-0.0444444\pi\) | ||||
0.990268 | + | 0.139173i | \(0.0444444\pi\) | |||||||
\(912\) | −2.27819 | − | 0.159306i | −2.27819 | − | 0.159306i | ||||
\(913\) | −1.23132 | −1.23132 | ||||||||
\(914\) | −0.0939652 | + | 0.532903i | −0.0939652 | + | 0.532903i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −0.511477 | − | 2.90073i | −0.511477 | − | 2.90073i | ||||
\(922\) | 0.354831 | + | 2.01235i | 0.354831 | + | 2.01235i | ||||
\(923\) | 0 | 0 | ||||||||
\(924\) | −0.0168266 | − | 0.0291445i | −0.0168266 | − | 0.0291445i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 1.89813 | + | 0.690864i | 1.89813 | + | 0.690864i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 0 | 0 | 0.173648 | − | 0.984808i | \(-0.444444\pi\) | ||||
−0.173648 | + | 0.984808i | \(0.555556\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −0.715835 | − | 0.691274i | −0.715835 | − | 0.691274i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 0.641820 | − | 3.63994i | 0.641820 | − | 3.63994i | ||||
\(934\) | −0.297540 | − | 0.249666i | −0.297540 | − | 0.249666i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 2.12284 | − | 0.772652i | 2.12284 | − | 0.772652i | ||||
\(937\) | 0 | 0 | 0.766044 | − | 0.642788i | \(-0.222222\pi\) | ||||
−0.766044 | + | 0.642788i | \(0.777778\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −1.28642 | + | 2.22814i | −1.28642 | + | 2.22814i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −0.317271 | − | 1.79933i | −0.317271 | − | 1.79933i | −0.559193 | − | 0.829038i | \(-0.688889\pi\) |
0.241922 | − | 0.970296i | \(-0.422222\pi\) | |||||||
\(942\) | −2.10314 | + | 3.64274i | −2.10314 | + | 3.64274i | ||||
\(943\) | −1.74871 | − | 3.02885i | −1.74871 | − | 3.02885i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 0 | 0 | −0.766044 | − | 0.642788i | \(-0.777778\pi\) | ||||
0.766044 | + | 0.642788i | \(0.222222\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −1.61803 | −1.61803 | ||||||||
\(950\) | 1.07506 | − | 0.308269i | 1.07506 | − | 0.308269i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 0 | 0 | −0.766044 | − | 0.642788i | \(-0.777778\pi\) | ||||
0.766044 | + | 0.642788i | \(0.222222\pi\) | |||||||
\(954\) | −4.07640 | − | 1.48369i | −4.07640 | − | 1.48369i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 0.0929531 | − | 0.0779969i | 0.0929531 | − | 0.0779969i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 1.05094 | − | 1.82028i | 1.05094 | − | 1.82028i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −0.290177 | + | 0.105616i | −0.290177 | + | 0.105616i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 0.227693 | + | 0.191057i | 0.227693 | + | 0.191057i | ||||
\(967\) | 0.346450 | − | 1.96482i | 0.346450 | − | 1.96482i | 0.104528 | − | 0.994522i | \(-0.466667\pi\) |
0.241922 | − | 0.970296i | \(-0.422222\pi\) | |||||||
\(968\) | 0.837909 | 0.837909 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 0.317271 | − | 1.79933i | 0.317271 | − | 1.79933i | −0.241922 | − | 0.970296i | \(-0.577778\pi\) |
0.559193 | − | 0.829038i | \(-0.311111\pi\) | |||||||
\(972\) | 0.693162 | + | 0.581632i | 0.693162 | + | 0.581632i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −1.47274 | + | 1.23577i | −1.47274 | + | 1.23577i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 0 | 0 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −0.281819 | − | 0.488124i | −0.281819 | − | 0.488124i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 0 | 0 | 0.939693 | − | 0.342020i | \(-0.111111\pi\) | ||||
−0.939693 | + | 0.342020i | \(0.888889\pi\) | |||||||
\(984\) | −2.67313 | − | 0.972938i | −2.67313 | − | 0.972938i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −0.0262144 | − | 0.249413i | −0.0262144 | − | 0.249413i | ||||
\(989\) | 0 | 0 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −1.10209 | − | 0.924765i | −1.10209 | − | 0.924765i | −0.104528 | − | 0.994522i | \(-0.533333\pi\) |
−0.997564 | + | 0.0697565i | \(0.977778\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −0.296837 | + | 0.514137i | −0.296837 | + | 0.514137i | ||||
\(997\) | 0 | 0 | −0.173648 | − | 0.984808i | \(-0.555556\pi\) | ||||
0.173648 | + | 0.984808i | \(0.444444\pi\) | |||||||
\(998\) | 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.c.2430.2 | yes | 24 | |
11.10 | odd | 2 | 2717.1.db.d.2430.3 | yes | 24 | ||
13.12 | even | 2 | 2717.1.db.d.2430.3 | yes | 24 | ||
19.9 | even | 9 | inner | 2717.1.db.c.142.2 | ✓ | 24 | |
143.142 | odd | 2 | CM | 2717.1.db.c.2430.2 | yes | 24 | |
209.142 | odd | 18 | 2717.1.db.d.142.3 | yes | 24 | ||
247.142 | even | 18 | 2717.1.db.d.142.3 | yes | 24 | ||
2717.142 | odd | 18 | inner | 2717.1.db.c.142.2 | ✓ | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
2717.1.db.c.142.2 | ✓ | 24 | 19.9 | even | 9 | inner | |
2717.1.db.c.142.2 | ✓ | 24 | 2717.142 | odd | 18 | inner | |
2717.1.db.c.2430.2 | yes | 24 | 1.1 | even | 1 | trivial | |
2717.1.db.c.2430.2 | yes | 24 | 143.142 | odd | 2 | CM | |
2717.1.db.d.142.3 | yes | 24 | 209.142 | odd | 18 | ||
2717.1.db.d.142.3 | yes | 24 | 247.142 | even | 18 | ||
2717.1.db.d.2430.3 | yes | 24 | 11.10 | odd | 2 | ||
2717.1.db.d.2430.3 | yes | 24 | 13.12 | even | 2 |