Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [2667,1,Mod(527,2667)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(2667, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 2, 4]))
N = Newforms(chi, 1, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("2667.527");
S:= CuspForms(chi, 1);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 2667 = 3 \cdot 7 \cdot 127 \) |
Weight: | \( k \) | \(=\) | \( 1 \) |
Character orbit: | \([\chi]\) | \(=\) | 2667.bi (of order \(6\), degree \(2\), 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: | \(1.33100638869\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\Q(\zeta_{12})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Projective image: | \(A_{4}\) |
Projective field: | Galois closure of 4.0.7112889.1 |
Artin image: | $\SL(2,3):C_2$ |
Artin field: | Galois closure of \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
Embedding invariants
Embedding label | 1250.1 | ||
Root | \(0.866025 + 0.500000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 2667.1250 |
Dual form | 2667.1.bi.a.527.1 |
$q$-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 \(\left(\mathbb{Z}/2667\mathbb{Z}\right)^\times\).
\(n\) | \(890\) | \(1144\) | \(2416\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | −0.866025 | − | 0.500000i | \(-0.833333\pi\) |
1.00000i | \(0.5\pi\) | |||||||||
\(3\) | 1.00000 | 1.00000 | ||||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | − | 1.00000i | \(-0.5\pi\) | |
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(6\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(7\) | 1.00000 | 1.00000 | ||||||||
\(8\) | − | 1.00000i | − | 1.00000i | ||||||
\(9\) | 1.00000 | 1.00000 | ||||||||
\(10\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(11\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | − | 1.00000i | \(-0.5\pi\) | |
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | \(-0.333333\pi\) |
−1.00000 | \(\pi\) | |||||||||
\(14\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(15\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(16\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | ||||
\(17\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | −0.866025 | − | 0.500000i | \(-0.833333\pi\) |
1.00000i | \(0.5\pi\) | |||||||||
\(18\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(19\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | 1.00000 | \(0\) | ||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 1.00000 | 1.00000 | ||||||||
\(22\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(23\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | − | 1.00000i | \(-0.5\pi\) | |
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(24\) | − | 1.00000i | − | 1.00000i | ||||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(27\) | 1.00000 | 1.00000 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | 0.866025 | − | 0.500000i | \(-0.166667\pi\) |
1.00000i | \(0.5\pi\) | |||||||||
\(30\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(31\) | −2.00000 | −2.00000 | −1.00000 | \(\pi\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(34\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(35\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(38\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(39\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | ||||
\(40\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | ||||
\(41\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | − | 1.00000i | \(-0.5\pi\) | |
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(42\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(43\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | \(-0.666667\pi\) |
1.00000 | \(0\) | |||||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(46\) | 1.00000 | 1.00000 | ||||||||
\(47\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | − | 1.00000i | \(-0.5\pi\) | |
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(48\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | ||||
\(49\) | 1.00000 | 1.00000 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | −0.866025 | − | 0.500000i | \(-0.833333\pi\) |
1.00000i | \(0.5\pi\) | |||||||||
\(54\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(55\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(56\) | − | 1.00000i | − | 1.00000i | ||||||
\(57\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | ||||
\(58\) | −1.00000 | −1.00000 | ||||||||
\(59\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | −0.866025 | − | 0.500000i | \(-0.833333\pi\) |
1.00000i | \(0.5\pi\) | |||||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | \(-0.333333\pi\) |
−1.00000 | \(\pi\) | |||||||||
\(62\) | 1.73205 | − | 1.00000i | 1.73205 | − | 1.00000i | ||||
\(63\) | 1.00000 | 1.00000 | ||||||||
\(64\) | −1.00000 | −1.00000 | ||||||||
\(65\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(66\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(67\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(70\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(71\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | −0.866025 | − | 0.500000i | \(-0.833333\pi\) |
1.00000i | \(0.5\pi\) | |||||||||
\(72\) | − | 1.00000i | − | 1.00000i | ||||||
\(73\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | \(-0.666667\pi\) |
1.00000 | \(0\) | |||||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(78\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(79\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | \(0.333333\pi\) |
−1.00000 | \(\pi\) | |||||||||
\(80\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(81\) | 1.00000 | 1.00000 | ||||||||
\(82\) | 1.00000 | 1.00000 | ||||||||
\(83\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | 0.866025 | − | 0.500000i | \(-0.166667\pi\) |
1.00000i | \(0.5\pi\) | |||||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(86\) | 1.00000i | 1.00000i | ||||||||
\(87\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(88\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | ||||
\(89\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | −0.866025 | − | 0.500000i | \(-0.833333\pi\) |
1.00000i | \(0.5\pi\) | |||||||||
\(90\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(91\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −2.00000 | −2.00000 | ||||||||
\(94\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(95\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | \(-0.333333\pi\) |
−1.00000 | \(\pi\) | |||||||||
\(98\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(99\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 2.00000i | 2.00000i | 1.00000i | \(0.5\pi\) | ||||||
1.00000i | \(0.5\pi\) | |||||||||
\(102\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(103\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | \(0.333333\pi\) |
−1.00000 | \(\pi\) | |||||||||
\(104\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(105\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(106\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(107\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | − | 1.00000i | \(-0.5\pi\) | |
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | 1.00000 | \(0\) | ||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(110\) | 1.00000i | 1.00000i | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | ||||
\(113\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | − | 1.00000i | \(-0.5\pi\) | |
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(114\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(115\) | −1.00000 | −1.00000 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | ||||
\(118\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(119\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(120\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | ||||
\(121\) | 0 | 0 | ||||||||
\(122\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(123\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 1.00000i | 1.00000i | ||||||||
\(126\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(127\) | −1.00000 | −1.00000 | ||||||||
\(128\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(129\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(130\) | 1.00000 | 1.00000 | ||||||||
\(131\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | − | 1.00000i | \(-0.5\pi\) | |
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(136\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | ||||
\(137\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | 0.866025 | − | 0.500000i | \(-0.166667\pi\) |
1.00000i | \(0.5\pi\) | |||||||||
\(138\) | 1.00000 | 1.00000 | ||||||||
\(139\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | \(-0.333333\pi\) |
−1.00000 | \(\pi\) | |||||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(142\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(143\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(144\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | ||||
\(145\) | 1.00000 | 1.00000 | ||||||||
\(146\) | 1.00000i | 1.00000i | ||||||||
\(147\) | 1.00000 | 1.00000 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(152\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(153\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(154\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(155\) | −1.73205 | + | 1.00000i | −1.73205 | + | 1.00000i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(158\) | − | 1.00000i | − | 1.00000i | ||||||
\(159\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(162\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(163\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(166\) | −1.00000 | −1.00000 | ||||||||
\(167\) | 2.00000i | 2.00000i | 1.00000i | \(0.5\pi\) | ||||||
1.00000i | \(0.5\pi\) | |||||||||
\(168\) | − | 1.00000i | − | 1.00000i | ||||||
\(169\) | 0 | 0 | ||||||||
\(170\) | − | 1.00000i | − | 1.00000i | ||||||
\(171\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | − | 1.00000i | \(-0.5\pi\) | |
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(174\) | −1.00000 | −1.00000 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(177\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(178\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(179\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(182\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(183\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | ||||
\(184\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 1.73205 | − | 1.00000i | 1.73205 | − | 1.00000i | ||||
\(187\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 1.00000 | 1.00000 | ||||||||
\(190\) | −1.00000 | −1.00000 | ||||||||
\(191\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | −0.866025 | − | 0.500000i | \(-0.833333\pi\) |
1.00000i | \(0.5\pi\) | |||||||||
\(192\) | −1.00000 | −1.00000 | ||||||||
\(193\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | \(0.333333\pi\) |
−1.00000 | \(\pi\) | |||||||||
\(194\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(195\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | − | 1.00000i | \(-0.5\pi\) | |
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(198\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(199\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | \(-0.333333\pi\) |
−1.00000 | \(\pi\) | |||||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −1.00000 | − | 1.73205i | −1.00000 | − | 1.73205i | ||||
\(203\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −1.00000 | −1.00000 | ||||||||
\(206\) | − | 1.00000i | − | 1.00000i | ||||||
\(207\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(208\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(209\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(210\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(211\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | \(-0.666667\pi\) |
1.00000 | \(0\) | |||||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(214\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(215\) | − | 1.00000i | − | 1.00000i | ||||||
\(216\) | − | 1.00000i | − | 1.00000i | ||||||
\(217\) | −2.00000 | −2.00000 | ||||||||
\(218\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(219\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | 1.00000 | \(0\) | ||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(227\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | 0.866025 | − | 0.500000i | \(-0.166667\pi\) |
1.00000i | \(0.5\pi\) | |||||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | 1.00000 | \(0\) | ||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(230\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(231\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(232\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(233\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(234\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(235\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(238\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(239\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | − | 1.00000i | \(-0.5\pi\) | |
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(240\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(241\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 1.00000 | 1.00000 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(246\) | 1.00000 | 1.00000 | ||||||||
\(247\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(248\) | 2.00000i | 2.00000i | ||||||||
\(249\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(250\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | ||||
\(251\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | −0.866025 | − | 0.500000i | \(-0.833333\pi\) |
1.00000i | \(0.5\pi\) | |||||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −1.00000 | −1.00000 | ||||||||
\(254\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(255\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | − | 1.00000i | \(-0.5\pi\) | |
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(258\) | 1.00000i | 1.00000i | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(262\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(263\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | −0.866025 | − | 0.500000i | \(-0.833333\pi\) |
1.00000i | \(0.5\pi\) | |||||||||
\(264\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | ||||
\(265\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(266\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(267\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(270\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(271\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(272\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(273\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | ||||
\(274\) | −1.00000 | −1.00000 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(278\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(279\) | −2.00000 | −2.00000 | ||||||||
\(280\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | ||||
\(281\) | − | 2.00000i | − | 2.00000i | − | 1.00000i | \(-0.5\pi\) | |||
− | 1.00000i | \(-0.5\pi\) | ||||||||
\(282\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(283\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | 1.00000 | \(0\) | ||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(286\) | 1.00000 | 1.00000 | ||||||||
\(287\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 0 | 0 | ||||||||
\(290\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(291\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | 0.866025 | − | 0.500000i | \(-0.166667\pi\) |
1.00000i | \(0.5\pi\) | |||||||||
\(294\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(295\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 1.00000i | 1.00000i | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 2.00000i | 2.00000i | ||||||||
\(304\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(305\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(306\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(307\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | \(0.333333\pi\) |
−1.00000 | \(\pi\) | |||||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(310\) | 1.00000 | − | 1.73205i | 1.00000 | − | 1.73205i | ||||
\(311\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(312\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(313\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | − | 1.00000i | \(-0.5\pi\) | |
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(318\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(319\) | 1.00000 | 1.00000 | ||||||||
\(320\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(321\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(322\) | 1.00000 | 1.00000 | ||||||||
\(323\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | ||||
\(328\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(329\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(330\) | 1.00000i | 1.00000i | ||||||||
\(331\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | 1.00000 | \(0\) | ||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −1.00000 | − | 1.73205i | −1.00000 | − | 1.73205i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | ||||
\(337\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | \(-0.666667\pi\) |
1.00000 | \(0\) | |||||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −1.73205 | + | 1.00000i | −1.73205 | + | 1.00000i | ||||
\(342\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(343\) | 1.00000 | 1.00000 | ||||||||
\(344\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(345\) | −1.00000 | −1.00000 | ||||||||
\(346\) | 1.00000 | 1.00000 | ||||||||
\(347\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | − | 1.00000i | \(-0.5\pi\) | |
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(354\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(355\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(360\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | ||||
\(361\) | 0 | 0 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | − | 1.00000i | − | 1.00000i | ||||||
\(366\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(367\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(368\) | − | 1.00000i | − | 1.00000i | ||||||
\(369\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | \(-0.333333\pi\) |
−1.00000 | \(\pi\) | |||||||||
\(374\) | − | 1.00000i | − | 1.00000i | ||||||
\(375\) | 1.00000i | 1.00000i | ||||||||
\(376\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | ||||
\(377\) | − | 1.00000i | − | 1.00000i | ||||||
\(378\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(379\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −1.00000 | −1.00000 | ||||||||
\(382\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(383\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | −0.866025 | − | 0.500000i | \(-0.833333\pi\) |
1.00000i | \(0.5\pi\) | |||||||||
\(384\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(385\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(386\) | − | 1.00000i | − | 1.00000i | ||||||
\(387\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | − | 1.00000i | \(-0.5\pi\) | |
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(390\) | 1.00000 | 1.00000 | ||||||||
\(391\) | 1.00000 | 1.00000 | ||||||||
\(392\) | − | 1.00000i | − | 1.00000i | ||||||
\(393\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(394\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(395\) | 1.00000i | 1.00000i | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | \(-0.333333\pi\) |
−1.00000 | \(\pi\) | |||||||||
\(398\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(399\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | −0.866025 | − | 0.500000i | \(-0.833333\pi\) |
1.00000i | \(0.5\pi\) | |||||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 1.00000 | + | 1.73205i | 1.00000 | + | 1.73205i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(406\) | −1.00000 | −1.00000 | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | ||||
\(409\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(410\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(411\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(414\) | 1.00000 | 1.00000 | ||||||||
\(415\) | 1.00000 | 1.00000 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | ||||
\(418\) | −1.00000 | −1.00000 | ||||||||
\(419\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(422\) | 1.00000i | 1.00000i | ||||||||
\(423\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(424\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(427\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(430\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | ||||
\(431\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | − | 1.00000i | \(-0.5\pi\) | |
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(432\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | ||||
\(433\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | \(-0.333333\pi\) |
−1.00000 | \(\pi\) | |||||||||
\(434\) | 1.73205 | − | 1.00000i | 1.73205 | − | 1.00000i | ||||
\(435\) | 1.00000 | 1.00000 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | − | 1.00000i | − | 1.00000i | ||||||
\(438\) | 1.00000i | 1.00000i | ||||||||
\(439\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(440\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(441\) | 1.00000 | 1.00000 | ||||||||
\(442\) | −1.00000 | −1.00000 | ||||||||
\(443\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | − | 1.00000i | \(-0.5\pi\) | |
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(446\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −1.00000 | −1.00000 | ||||||||
\(449\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | − | 1.00000i | \(-0.5\pi\) | |
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −1.00000 | −1.00000 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −1.00000 | −1.00000 | ||||||||
\(455\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(456\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(457\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | 1.00000 | \(0\) | ||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(458\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(459\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | − | 2.00000i | − | 2.00000i | − | 1.00000i | \(-0.5\pi\) | |||
− | 1.00000i | \(-0.5\pi\) | ||||||||
\(462\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(463\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | \(0.333333\pi\) |
−1.00000 | \(\pi\) | |||||||||
\(464\) | 1.00000i | 1.00000i | ||||||||
\(465\) | −1.73205 | + | 1.00000i | −1.73205 | + | 1.00000i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 1.00000i | 1.00000i | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | ||||
\(473\) | − | 1.00000i | − | 1.00000i | ||||||
\(474\) | − | 1.00000i | − | 1.00000i | ||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(478\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(479\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | − | 1.00000i | \(-0.5\pi\) | |
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0 | 0 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(486\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(487\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | 1.00000 | \(0\) | ||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(488\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(491\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | 0.866025 | − | 0.500000i | \(-0.166667\pi\) |
1.00000i | \(0.5\pi\) | |||||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −1.00000 | −1.00000 | ||||||||
\(494\) | 1.00000i | 1.00000i | ||||||||
\(495\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(496\) | −1.00000 | − | 1.73205i | −1.00000 | − | 1.73205i | ||||
\(497\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(498\) | −1.00000 | −1.00000 | ||||||||
\(499\) | −2.00000 | −2.00000 | −1.00000 | \(\pi\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 2.00000i | 2.00000i | ||||||||
\(502\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(503\) | − | 2.00000i | − | 2.00000i | − | 1.00000i | \(-0.5\pi\) | |||
− | 1.00000i | \(-0.5\pi\) | ||||||||
\(504\) | − | 1.00000i | − | 1.00000i | ||||||
\(505\) | 1.00000 | + | 1.73205i | 1.00000 | + | 1.73205i | ||||
\(506\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | −0.866025 | − | 0.500000i | \(-0.833333\pi\) |
1.00000i | \(0.5\pi\) | |||||||||
\(510\) | − | 1.00000i | − | 1.00000i | ||||||
\(511\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(512\) | 1.00000i | 1.00000i | ||||||||
\(513\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | ||||
\(514\) | 1.00000 | 1.00000 | ||||||||
\(515\) | 1.00000i | 1.00000i | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(520\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(521\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(522\) | −1.00000 | −1.00000 | ||||||||
\(523\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | \(-0.666667\pi\) |
1.00000 | \(0\) | |||||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(527\) | 1.73205 | − | 1.00000i | 1.73205 | − | 1.00000i | ||||
\(528\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(529\) | 0 | 0 | ||||||||
\(530\) | − | 1.00000i | − | 1.00000i | ||||||
\(531\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 1.00000i | 1.00000i | ||||||||
\(534\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(535\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | \(-0.333333\pi\) |
−1.00000 | \(\pi\) | |||||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(546\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(547\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | \(0.333333\pi\) |
−1.00000 | \(\pi\) | |||||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 1.00000i | 1.00000i | ||||||||
\(552\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(553\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | − | 1.00000i | \(-0.5\pi\) | |
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(558\) | 1.73205 | − | 1.00000i | 1.73205 | − | 1.00000i | ||||
\(559\) | −1.00000 | −1.00000 | ||||||||
\(560\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(561\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(562\) | 1.00000 | + | 1.73205i | 1.00000 | + | 1.73205i | ||||
\(563\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | −0.866025 | − | 0.500000i | \(-0.833333\pi\) |
1.00000i | \(0.5\pi\) | |||||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(566\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(567\) | 1.00000 | 1.00000 | ||||||||
\(568\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | ||||
\(569\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | − | 1.00000i | \(-0.5\pi\) | |
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(570\) | −1.00000 | −1.00000 | ||||||||
\(571\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | \(-0.666667\pi\) |
1.00000 | \(0\) | |||||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(574\) | 1.00000 | 1.00000 | ||||||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −1.00000 | −1.00000 | ||||||||
\(577\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | \(-0.333333\pi\) |
−1.00000 | \(\pi\) | |||||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(582\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(583\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(584\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(585\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(586\) | −1.00000 | −1.00000 | ||||||||
\(587\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | − | 1.00000i | \(-0.5\pi\) | |
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −1.00000 | − | 1.73205i | −1.00000 | − | 1.73205i | ||||
\(590\) | − | 1.00000i | − | 1.00000i | ||||||
\(591\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(594\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(595\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | ||||
\(598\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | ||||
\(599\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | −0.866025 | − | 0.500000i | \(-0.833333\pi\) |
1.00000i | \(0.5\pi\) | |||||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | \(-0.666667\pi\) |
1.00000 | \(0\) | |||||||||
\(602\) | 1.00000i | 1.00000i | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −1.00000 | − | 1.73205i | −1.00000 | − | 1.73205i | ||||
\(607\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | \(0.333333\pi\) |
−1.00000 | \(\pi\) | |||||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(610\) | 1.00000 | 1.00000 | ||||||||
\(611\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | \(-0.333333\pi\) |
−1.00000 | \(\pi\) | |||||||||
\(614\) | − | 1.00000i | − | 1.00000i | ||||||
\(615\) | −1.00000 | −1.00000 | ||||||||
\(616\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | ||||
\(617\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | − | 1.00000i | \(-0.5\pi\) | |
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(618\) | − | 1.00000i | − | 1.00000i | ||||||
\(619\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | \(0.333333\pi\) |
−1.00000 | \(\pi\) | |||||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(624\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(625\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 0 | 0 | ||||||||
\(630\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(631\) | 2.00000 | 2.00000 | 1.00000 | \(0\) | ||||||
1.00000 | \(0\) | |||||||||
\(632\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(633\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(634\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(635\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | ||||
\(638\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(639\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(640\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(641\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(642\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(643\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | − | 1.00000i | − | 1.00000i | ||||||
\(646\) | 1.00000 | 1.00000 | ||||||||
\(647\) | − | 2.00000i | − | 2.00000i | − | 1.00000i | \(-0.5\pi\) | |||
− | 1.00000i | \(-0.5\pi\) | ||||||||
\(648\) | − | 1.00000i | − | 1.00000i | ||||||
\(649\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −2.00000 | −2.00000 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(654\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(655\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(656\) | − | 1.00000i | − | 1.00000i | ||||||
\(657\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(658\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(659\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | − | 1.00000i | \(-0.5\pi\) | |
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(662\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(663\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(664\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(665\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 2.00000 | 2.00000 | 1.00000 | \(0\) | ||||||
1.00000 | \(0\) | |||||||||
\(674\) | 1.00000i | 1.00000i | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | − | 2.00000i | − | 2.00000i | − | 1.00000i | \(-0.5\pi\) | |||
− | 1.00000i | \(-0.5\pi\) | ||||||||
\(678\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(679\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | ||||
\(680\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(681\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(682\) | 1.00000 | − | 1.73205i | 1.00000 | − | 1.73205i | ||||
\(683\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 1.00000 | 1.00000 | ||||||||
\(686\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(687\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | ||||
\(688\) | 1.00000 | 1.00000 | ||||||||
\(689\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(690\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(691\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | \(0.333333\pi\) |
−1.00000 | \(\pi\) | |||||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(694\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(695\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(696\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(697\) | 1.00000 | 1.00000 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 2.00000i | 2.00000i | 1.00000i | \(0.5\pi\) | ||||||
1.00000i | \(0.5\pi\) | |||||||||
\(702\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(703\) | 0 | 0 | ||||||||
\(704\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(705\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 2.00000i | 2.00000i | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(710\) | − | 1.00000i | − | 1.00000i | ||||||
\(711\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(712\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | ||||
\(713\) | 1.73205 | + | 1.00000i | 1.73205 | + | 1.00000i | ||||
\(714\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(715\) | −1.00000 | −1.00000 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(720\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(721\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | \(-0.333333\pi\) |
−1.00000 | \(\pi\) | |||||||||
\(728\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(729\) | 1.00000 | 1.00000 | ||||||||
\(730\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | ||||
\(731\) | 1.00000i | 1.00000i | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −2.00000 | −2.00000 | −1.00000 | \(\pi\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | 1.00000 | 1.00000 | ||||||||
\(739\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(742\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(743\) | 2.00000i | 2.00000i | 1.00000i | \(0.5\pi\) | ||||||
1.00000i | \(0.5\pi\) | |||||||||
\(744\) | 2.00000i | 2.00000i | ||||||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(747\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(750\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | ||||
\(751\) | 2.00000 | 2.00000 | 1.00000 | \(0\) | ||||||
1.00000 | \(0\) | |||||||||
\(752\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(753\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(754\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −1.00000 | −1.00000 | ||||||||
\(760\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(761\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | −0.866025 | − | 0.500000i | \(-0.833333\pi\) |
1.00000i | \(0.5\pi\) | |||||||||
\(762\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(763\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(766\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(767\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | \(-0.333333\pi\) |
−1.00000 | \(\pi\) | |||||||||
\(770\) | 1.00000i | 1.00000i | ||||||||
\(771\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | − | 1.00000i | \(-0.5\pi\) | |
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(774\) | 1.00000i | 1.00000i | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 1.00000 | 1.00000 | ||||||||
\(779\) | − | 1.00000i | − | 1.00000i | ||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(782\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(783\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(784\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(787\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | \(-0.666667\pi\) |
1.00000 | \(0\) | |||||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(790\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | ||||
\(791\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(792\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | ||||
\(793\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(794\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(795\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | −0.866025 | − | 0.500000i | \(-0.833333\pi\) |
1.00000i | \(0.5\pi\) | |||||||||
\(798\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(799\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(802\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(803\) | − | 1.00000i | − | 1.00000i | ||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −1.00000 | −1.00000 | ||||||||
\(806\) | −1.73205 | − | 1.00000i | −1.73205 | − | 1.00000i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 2.00000 | 2.00000 | ||||||||
\(809\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | − | 1.00000i | \(-0.5\pi\) | |
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(810\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(811\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | \(0.333333\pi\) |
−1.00000 | \(\pi\) | |||||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 0 | 0 | ||||||||
\(816\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(817\) | 1.00000 | 1.00000 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(822\) | −1.00000 | −1.00000 | ||||||||
\(823\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | \(-0.666667\pi\) |
1.00000 | \(0\) | |||||||||
\(824\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(827\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | − | 1.00000i | \(-0.5\pi\) | |
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 2.00000 | 2.00000 | 1.00000 | \(0\) | ||||||
1.00000 | \(0\) | |||||||||
\(830\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | ||||
\(833\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(834\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(835\) | 1.00000 | + | 1.73205i | 1.00000 | + | 1.73205i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −2.00000 | −2.00000 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(840\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | ||||
\(841\) | 0 | 0 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | − | 2.00000i | − | 2.00000i | ||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(849\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 0 | 0 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | \(0.333333\pi\) |
−1.00000 | \(\pi\) | |||||||||
\(854\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(855\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(856\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | ||||
\(857\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | − | 1.00000i | \(-0.5\pi\) | |
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(858\) | 1.00000 | 1.00000 | ||||||||
\(859\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | \(0.333333\pi\) |
−1.00000 | \(\pi\) | |||||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(862\) | 1.00000 | 1.00000 | ||||||||
\(863\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | − | 1.00000i | \(-0.5\pi\) | |
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −1.00000 | −1.00000 | ||||||||
\(866\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 1.00000i | 1.00000i | ||||||||
\(870\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(871\) | 0 | 0 | ||||||||
\(872\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(873\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | ||||
\(874\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | ||||
\(875\) | 1.00000i | 1.00000i | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | \(-0.666667\pi\) |
1.00000 | \(0\) | |||||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(880\) | 1.00000 | 1.00000 | ||||||||
\(881\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(882\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(883\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | \(-0.333333\pi\) |
−1.00000 | \(\pi\) | |||||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(886\) | 1.00000 | 1.00000 | ||||||||
\(887\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | − | 1.00000i | \(-0.5\pi\) | |
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −1.00000 | −1.00000 | ||||||||
\(890\) | − | 1.00000i | − | 1.00000i | ||||||
\(891\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(897\) | 1.00000i | 1.00000i | ||||||||
\(898\) | 1.00000 | 1.00000 | ||||||||
\(899\) | −1.73205 | − | 1.00000i | −1.73205 | − | 1.00000i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(902\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(903\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(904\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | 1.00000 | \(0\) | ||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 2.00000i | 2.00000i | ||||||||
\(910\) | 1.00000 | 1.00000 | ||||||||
\(911\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | 0.866025 | − | 0.500000i | \(-0.166667\pi\) |
1.00000i | \(0.5\pi\) | |||||||||
\(912\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(913\) | 1.00000 | 1.00000 | ||||||||
\(914\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(915\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(918\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(919\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | \(0.333333\pi\) |
−1.00000 | \(\pi\) | |||||||||
\(920\) | 1.00000i | 1.00000i | ||||||||
\(921\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(922\) | 1.00000 | + | 1.73205i | 1.00000 | + | 1.73205i | ||||
\(923\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0 | 0 | ||||||||
\(926\) | − | 1.00000i | − | 1.00000i | ||||||
\(927\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | − | 1.00000i | \(-0.5\pi\) | |
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(930\) | 1.00000 | − | 1.73205i | 1.00000 | − | 1.73205i | ||||
\(931\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 1.00000i | 1.00000i | ||||||||
\(936\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(937\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | 1.00000 | \(0\) | ||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | ||||
\(944\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(945\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(946\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | ||||
\(947\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −1.00000 | −1.00000 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(952\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | ||||
\(953\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(954\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(955\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 1.00000 | 1.00000 | ||||||||
\(958\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(959\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(960\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(961\) | 3.00000 | 3.00000 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 1.00000i | 1.00000i | ||||||||
\(966\) | 1.00000 | 1.00000 | ||||||||
\(967\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | \(0.333333\pi\) |
−1.00000 | \(\pi\) | |||||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(970\) | 1.00000 | 1.00000 | ||||||||
\(971\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | ||||
\(974\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(977\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | − | 1.00000i | \(-0.5\pi\) | |
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | ||||
\(982\) | −1.00000 | −1.00000 | ||||||||
\(983\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | 0.866025 | − | 0.500000i | \(-0.166667\pi\) |
1.00000i | \(0.5\pi\) | |||||||||
\(984\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(985\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(986\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(987\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(990\) | 1.00000i | 1.00000i | ||||||||
\(991\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | \(0.333333\pi\) |
−1.00000 | \(\pi\) | |||||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | ||||
\(994\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(995\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | \(0.333333\pi\) |
−1.00000 | \(\pi\) | |||||||||
\(998\) | 1.73205 | − | 1.00000i | 1.73205 | − | 1.00000i | ||||
\(999\) | 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 | 2667.1.bi.a.1250.1 | yes | 4 | |
3.2 | odd | 2 | inner | 2667.1.bi.a.1250.2 | yes | 4 | |
7.2 | even | 3 | 2667.1.bf.a.107.2 | yes | 4 | ||
21.2 | odd | 6 | 2667.1.bf.a.107.1 | ✓ | 4 | ||
127.19 | even | 3 | 2667.1.bf.a.1670.1 | yes | 4 | ||
381.146 | odd | 6 | 2667.1.bf.a.1670.2 | yes | 4 | ||
889.527 | even | 3 | inner | 2667.1.bi.a.527.2 | yes | 4 | |
2667.527 | odd | 6 | inner | 2667.1.bi.a.527.1 | yes | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
2667.1.bf.a.107.1 | ✓ | 4 | 21.2 | odd | 6 | ||
2667.1.bf.a.107.2 | yes | 4 | 7.2 | even | 3 | ||
2667.1.bf.a.1670.1 | yes | 4 | 127.19 | even | 3 | ||
2667.1.bf.a.1670.2 | yes | 4 | 381.146 | odd | 6 | ||
2667.1.bi.a.527.1 | yes | 4 | 2667.527 | odd | 6 | inner | |
2667.1.bi.a.527.2 | yes | 4 | 889.527 | even | 3 | inner | |
2667.1.bi.a.1250.1 | yes | 4 | 1.1 | even | 1 | trivial | |
2667.1.bi.a.1250.2 | yes | 4 | 3.2 | odd | 2 | inner |