Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [2960,1,Mod(1157,2960)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(2960, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 3, 3, 8]))
N = Newforms(chi, 1, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("2960.1157");
S:= CuspForms(chi, 1);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 2960 = 2^{4} \cdot 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 1 \) |
Character orbit: | \([\chi]\) | \(=\) | 2960.fm (of order \(12\), degree \(4\), 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: | \(1.47723243739\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
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: | \(S_{4}\) |
Projective field: | Galois closure of 4.0.350464000.5 |
Embedding invariants
Embedding label | 2653.1 | ||
Root | \(0.866025 - 0.500000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 2960.2653 |
Dual form | 2960.1.fm.a.1157.1 |
$q$-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 \(\left(\mathbb{Z}/2960\mathbb{Z}\right)^\times\).
\(n\) | \(741\) | \(1777\) | \(2481\) | \(2591\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(3\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | 0.866025 | − | 0.500000i | \(-0.166667\pi\) |
1.00000i | \(0.5\pi\) | |||||||||
\(4\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(5\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(6\) | 1.00000 | 1.00000 | ||||||||
\(7\) | −1.36603 | + | 0.366025i | −1.36603 | + | 0.366025i | −0.866025 | − | 0.500000i | \(-0.833333\pi\) |
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(8\) | − | 1.00000i | − | 1.00000i | ||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −1.00000 | −1.00000 | ||||||||
\(11\) | 1.00000 | − | 1.00000i | 1.00000 | − | 1.00000i | − | 1.00000i | \(-0.5\pi\) | |
1.00000 | \(0\) | |||||||||
\(12\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(13\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | − | 1.00000i | \(-0.5\pi\) | |
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(14\) | −1.00000 | + | 1.00000i | −1.00000 | + | 1.00000i | ||||
\(15\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | ||||
\(16\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | ||||
\(17\) | 0 | 0 | 0.258819 | − | 0.965926i | \(-0.416667\pi\) | ||||
−0.258819 | + | 0.965926i | \(0.583333\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0 | 0 | 0.965926 | − | 0.258819i | \(-0.0833333\pi\) | ||||
−0.965926 | + | 0.258819i | \(0.916667\pi\) | |||||||
\(20\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(21\) | −1.36603 | − | 0.366025i | −1.36603 | − | 0.366025i | ||||
\(22\) | 0.366025 | − | 1.36603i | 0.366025 | − | 1.36603i | ||||
\(23\) | 1.00000 | − | 1.00000i | 1.00000 | − | 1.00000i | − | 1.00000i | \(-0.5\pi\) | |
1.00000 | \(0\) | |||||||||
\(24\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(25\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | ||||
\(26\) | −1.00000 | −1.00000 | ||||||||
\(27\) | − | 1.00000i | − | 1.00000i | ||||||
\(28\) | −0.366025 | + | 1.36603i | −0.366025 | + | 1.36603i | ||||
\(29\) | 0 | 0 | −0.707107 | − | 0.707107i | \(-0.750000\pi\) | ||||
0.707107 | + | 0.707107i | \(0.250000\pi\) | |||||||
\(30\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(31\) | −1.00000 | −1.00000 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(32\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(33\) | 1.36603 | − | 0.366025i | 1.36603 | − | 0.366025i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 1.36603 | + | 0.366025i | 1.36603 | + | 0.366025i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −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 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) |
1.00000i | \(0.5\pi\) | |||||||||
\(42\) | −1.36603 | + | 0.366025i | −1.36603 | + | 0.366025i | ||||
\(43\) | −1.00000 | −1.00000 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(44\) | −0.366025 | − | 1.36603i | −0.366025 | − | 1.36603i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.366025 | − | 1.36603i | 0.366025 | − | 1.36603i | ||||
\(47\) | 0 | 0 | −0.707107 | − | 0.707107i | \(-0.750000\pi\) | ||||
0.707107 | + | 0.707107i | \(0.250000\pi\) | |||||||
\(48\) | − | 1.00000i | − | 1.00000i | ||||||
\(49\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(50\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(53\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | \(-0.333333\pi\) |
−1.00000 | \(\pi\) | |||||||||
\(54\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | ||||
\(55\) | −1.36603 | + | 0.366025i | −1.36603 | + | 0.366025i | ||||
\(56\) | 0.366025 | + | 1.36603i | 0.366025 | + | 1.36603i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −0.366025 | + | 1.36603i | −0.366025 | + | 1.36603i | 0.500000 | + | 0.866025i | \(0.333333\pi\) |
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(60\) | −1.00000 | −1.00000 | ||||||||
\(61\) | 1.36603 | − | 0.366025i | 1.36603 | − | 0.366025i | 0.500000 | − | 0.866025i | \(-0.333333\pi\) |
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(62\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.00000 | −1.00000 | ||||||||
\(65\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | ||||
\(66\) | 1.00000 | − | 1.00000i | 1.00000 | − | 1.00000i | ||||
\(67\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 1.36603 | − | 0.366025i | 1.36603 | − | 0.366025i | ||||
\(70\) | 1.36603 | − | 0.366025i | 1.36603 | − | 0.366025i | ||||
\(71\) | 1.73205 | + | 1.00000i | 1.73205 | + | 1.00000i | 0.866025 | + | 0.500000i | \(0.166667\pi\) |
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 0 | 0 | −0.707107 | − | 0.707107i | \(-0.750000\pi\) | ||||
0.707107 | + | 0.707107i | \(0.250000\pi\) | |||||||
\(74\) | 1.00000 | 1.00000 | ||||||||
\(75\) | 1.00000i | 1.00000i | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −1.00000 | + | 1.73205i | −1.00000 | + | 1.73205i | ||||
\(78\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(79\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(80\) | 1.00000i | 1.00000i | ||||||||
\(81\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(82\) | 1.00000 | 1.00000 | ||||||||
\(83\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(84\) | −1.00000 | + | 1.00000i | −1.00000 | + | 1.00000i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −1.00000 | − | 1.00000i | −1.00000 | − | 1.00000i | ||||
\(89\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.36603 | + | 0.366025i | 1.36603 | + | 0.366025i | ||||
\(92\) | −0.366025 | − | 1.36603i | −0.366025 | − | 1.36603i | ||||
\(93\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | ||||
\(97\) | 0 | 0 | −0.707107 | − | 0.707107i | \(-0.750000\pi\) | ||||
0.707107 | + | 0.707107i | \(0.250000\pi\) | |||||||
\(98\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 1.00000 | 1.00000 | ||||||||
\(101\) | 1.00000 | − | 1.00000i | 1.00000 | − | 1.00000i | − | 1.00000i | \(-0.5\pi\) | |
1.00000 | \(0\) | |||||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −1.00000 | + | 1.00000i | −1.00000 | + | 1.00000i | 1.00000i | \(0.5\pi\) | ||
−1.00000 | \(\pi\) | |||||||||
\(104\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(105\) | 1.00000 | + | 1.00000i | 1.00000 | + | 1.00000i | ||||
\(106\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(107\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | − | 1.00000i | \(-0.5\pi\) | |
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(108\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(109\) | 0 | 0 | 0.258819 | − | 0.965926i | \(-0.416667\pi\) | ||||
−0.258819 | + | 0.965926i | \(0.583333\pi\) | |||||||
\(110\) | −1.00000 | + | 1.00000i | −1.00000 | + | 1.00000i | ||||
\(111\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | ||||
\(112\) | 1.00000 | + | 1.00000i | 1.00000 | + | 1.00000i | ||||
\(113\) | 0 | 0 | −0.965926 | − | 0.258819i | \(-0.916667\pi\) | ||||
0.965926 | + | 0.258819i | \(0.0833333\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −1.36603 | + | 0.366025i | −1.36603 | + | 0.366025i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0.366025 | + | 1.36603i | 0.366025 | + | 1.36603i | ||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(121\) | − | 1.00000i | − | 1.00000i | ||||||
\(122\) | 1.00000 | − | 1.00000i | 1.00000 | − | 1.00000i | ||||
\(123\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | ||||
\(124\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(125\) | − | 1.00000i | − | 1.00000i | ||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 0 | 0 | 0.258819 | − | 0.965926i | \(-0.416667\pi\) | ||||
−0.258819 | + | 0.965926i | \(0.583333\pi\) | |||||||
\(128\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(129\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(130\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(131\) | −0.366025 | + | 1.36603i | −0.366025 | + | 1.36603i | 0.500000 | + | 0.866025i | \(0.333333\pi\) |
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(132\) | 0.366025 | − | 1.36603i | 0.366025 | − | 1.36603i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 0 | 0 | 0.707107 | − | 0.707107i | \(-0.250000\pi\) | ||||
−0.707107 | + | 0.707107i | \(0.750000\pi\) | |||||||
\(138\) | 1.00000 | − | 1.00000i | 1.00000 | − | 1.00000i | ||||
\(139\) | 0 | 0 | −0.965926 | − | 0.258819i | \(-0.916667\pi\) | ||||
0.965926 | + | 0.258819i | \(0.0833333\pi\) | |||||||
\(140\) | 1.00000 | − | 1.00000i | 1.00000 | − | 1.00000i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 2.00000 | 2.00000 | ||||||||
\(143\) | −1.36603 | + | 0.366025i | −1.36603 | + | 0.366025i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 1.00000 | 1.00000 | ||||||||
\(148\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(149\) | 1.00000 | + | 1.00000i | 1.00000 | + | 1.00000i | 1.00000 | \(0\) | ||
1.00000i | \(0.5\pi\) | |||||||||
\(150\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | ||||
\(151\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | 0.866025 | − | 0.500000i | \(-0.166667\pi\) |
1.00000i | \(0.5\pi\) | |||||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 2.00000i | 2.00000i | ||||||||
\(155\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(156\) | −1.00000 | −1.00000 | ||||||||
\(157\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | 1.00000 | \(0\) | ||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | − | 1.00000i | − | 1.00000i | ||||||
\(160\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | ||||
\(161\) | −1.00000 | + | 1.73205i | −1.00000 | + | 1.73205i | ||||
\(162\) | − | 1.00000i | − | 1.00000i | ||||||
\(163\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | − | 1.00000i | \(-0.5\pi\) | |
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(164\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(165\) | −1.36603 | − | 0.366025i | −1.36603 | − | 0.366025i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 1.36603 | − | 0.366025i | 1.36603 | − | 0.366025i | 0.500000 | − | 0.866025i | \(-0.333333\pi\) |
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(168\) | −0.366025 | + | 1.36603i | −0.366025 | + | 1.36603i | ||||
\(169\) | 0 | 0 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(173\) | −1.73205 | + | 1.00000i | −1.73205 | + | 1.00000i | −0.866025 | + | 0.500000i | \(0.833333\pi\) |
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −1.00000 | − | 1.00000i | −1.00000 | − | 1.00000i | ||||
\(176\) | −1.36603 | − | 0.366025i | −1.36603 | − | 0.366025i | ||||
\(177\) | −1.00000 | + | 1.00000i | −1.00000 | + | 1.00000i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 1.00000 | − | 1.00000i | 1.00000 | − | 1.00000i | − | 1.00000i | \(-0.5\pi\) | |
1.00000 | \(0\) | |||||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 0 | 0 | 0.965926 | − | 0.258819i | \(-0.0833333\pi\) | ||||
−0.965926 | + | 0.258819i | \(0.916667\pi\) | |||||||
\(182\) | 1.36603 | − | 0.366025i | 1.36603 | − | 0.366025i | ||||
\(183\) | 1.36603 | + | 0.366025i | 1.36603 | + | 0.366025i | ||||
\(184\) | −1.00000 | − | 1.00000i | −1.00000 | − | 1.00000i | ||||
\(185\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | ||||
\(186\) | −1.00000 | −1.00000 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0.366025 | + | 1.36603i | 0.366025 | + | 1.36603i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −1.00000 | −1.00000 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(192\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(193\) | 0 | 0 | 0.707107 | − | 0.707107i | \(-0.250000\pi\) | ||||
−0.707107 | + | 0.707107i | \(0.750000\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 1.00000i | 1.00000i | ||||||||
\(196\) | − | 1.00000i | − | 1.00000i | ||||||
\(197\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | − | 1.00000i | \(-0.5\pi\) | |
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 1.00000 | 1.00000 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(200\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0.366025 | − | 1.36603i | 0.366025 | − | 1.36603i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | ||||
\(206\) | −0.366025 | + | 1.36603i | −0.366025 | + | 1.36603i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 1.00000i | 1.00000i | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 1.36603 | + | 0.366025i | 1.36603 | + | 0.366025i | ||||
\(211\) | 0 | 0 | 0.707107 | − | 0.707107i | \(-0.250000\pi\) | ||||
−0.707107 | + | 0.707107i | \(0.750000\pi\) | |||||||
\(212\) | −1.00000 | −1.00000 | ||||||||
\(213\) | 1.00000 | + | 1.73205i | 1.00000 | + | 1.73205i | ||||
\(214\) | −1.00000 | −1.00000 | ||||||||
\(215\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(216\) | −1.00000 | −1.00000 | ||||||||
\(217\) | 1.36603 | − | 0.366025i | 1.36603 | − | 0.366025i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.366025 | + | 1.36603i | −0.366025 | + | 1.36603i | ||||
\(221\) | 0 | 0 | ||||||||
\(222\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(223\) | 0 | 0 | 0.707107 | − | 0.707107i | \(-0.250000\pi\) | ||||
−0.707107 | + | 0.707107i | \(0.750000\pi\) | |||||||
\(224\) | 1.36603 | + | 0.366025i | 1.36603 | + | 0.366025i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | \(0.333333\pi\) |
−1.00000 | \(\pi\) | |||||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 0 | 0 | −0.258819 | − | 0.965926i | \(-0.583333\pi\) | ||||
0.258819 | + | 0.965926i | \(0.416667\pi\) | |||||||
\(230\) | −1.00000 | + | 1.00000i | −1.00000 | + | 1.00000i | ||||
\(231\) | −1.73205 | + | 1.00000i | −1.73205 | + | 1.00000i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 0 | 0 | −0.707107 | − | 0.707107i | \(-0.750000\pi\) | ||||
0.707107 | + | 0.707107i | \(0.250000\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 1.00000 | + | 1.00000i | 1.00000 | + | 1.00000i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −1.73205 | + | 1.00000i | −1.73205 | + | 1.00000i | −0.866025 | + | 0.500000i | \(0.833333\pi\) |
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(240\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(241\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(242\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0.366025 | − | 1.36603i | 0.366025 | − | 1.36603i | ||||
\(245\) | −1.00000 | −1.00000 | ||||||||
\(246\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 1.00000i | 1.00000i | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | ||||
\(251\) | 1.00000 | − | 1.00000i | 1.00000 | − | 1.00000i | − | 1.00000i | \(-0.5\pi\) | |
1.00000 | \(0\) | |||||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | − | 2.00000i | − | 2.00000i | ||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(257\) | 1.36603 | + | 0.366025i | 1.36603 | + | 0.366025i | 0.866025 | − | 0.500000i | \(-0.166667\pi\) |
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(258\) | −1.00000 | −1.00000 | ||||||||
\(259\) | −1.36603 | − | 0.366025i | −1.36603 | − | 0.366025i | ||||
\(260\) | 1.00000 | 1.00000 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0.366025 | + | 1.36603i | 0.366025 | + | 1.36603i | ||||
\(263\) | 0.366025 | + | 1.36603i | 0.366025 | + | 1.36603i | 0.866025 | + | 0.500000i | \(0.166667\pi\) |
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(264\) | −0.366025 | − | 1.36603i | −0.366025 | − | 1.36603i | ||||
\(265\) | 1.00000i | 1.00000i | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 1.00000 | − | 1.00000i | 1.00000 | − | 1.00000i | − | 1.00000i | \(-0.5\pi\) | |
1.00000 | \(0\) | |||||||||
\(270\) | 1.00000i | 1.00000i | ||||||||
\(271\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | \(-0.333333\pi\) |
−1.00000 | \(\pi\) | |||||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 1.00000 | + | 1.00000i | 1.00000 | + | 1.00000i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 1.36603 | + | 0.366025i | 1.36603 | + | 0.366025i | ||||
\(276\) | 0.366025 | − | 1.36603i | 0.366025 | − | 1.36603i | ||||
\(277\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | − | 1.00000i | \(-0.5\pi\) | |
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0.366025 | − | 1.36603i | 0.366025 | − | 1.36603i | ||||
\(281\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | −0.866025 | − | 0.500000i | \(-0.833333\pi\) |
1.00000i | \(0.5\pi\) | |||||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | \(-0.666667\pi\) |
1.00000 | \(0\) | |||||||||
\(284\) | 1.73205 | − | 1.00000i | 1.73205 | − | 1.00000i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −1.00000 | + | 1.00000i | −1.00000 | + | 1.00000i | ||||
\(287\) | −1.36603 | − | 0.366025i | −1.36603 | − | 0.366025i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | \(-0.666667\pi\) |
1.00000 | \(0\) | |||||||||
\(294\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(295\) | 1.00000 | − | 1.00000i | 1.00000 | − | 1.00000i | ||||
\(296\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(297\) | −1.00000 | − | 1.00000i | −1.00000 | − | 1.00000i | ||||
\(298\) | 1.36603 | + | 0.366025i | 1.36603 | + | 0.366025i | ||||
\(299\) | −1.36603 | + | 0.366025i | −1.36603 | + | 0.366025i | ||||
\(300\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(301\) | 1.36603 | − | 0.366025i | 1.36603 | − | 0.366025i | ||||
\(302\) | 1.00000 | 1.00000 | ||||||||
\(303\) | 1.36603 | − | 0.366025i | 1.36603 | − | 0.366025i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −1.36603 | − | 0.366025i | −1.36603 | − | 0.366025i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 1.00000 | 1.00000 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(308\) | 1.00000 | + | 1.73205i | 1.00000 | + | 1.73205i | ||||
\(309\) | −1.36603 | + | 0.366025i | −1.36603 | + | 0.366025i | ||||
\(310\) | 1.00000 | 1.00000 | ||||||||
\(311\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | −0.866025 | − | 0.500000i | \(-0.833333\pi\) |
1.00000i | \(0.5\pi\) | |||||||||
\(312\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(313\) | −1.36603 | − | 0.366025i | −1.36603 | − | 0.366025i | −0.500000 | − | 0.866025i | \(-0.666667\pi\) |
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(314\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | \(-0.333333\pi\) |
−1.00000 | \(\pi\) | |||||||||
\(318\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | ||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(321\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | ||||
\(322\) | 2.00000i | 2.00000i | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | ||||
\(325\) | − | 1.00000i | − | 1.00000i | ||||||
\(326\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | −1.36603 | + | 0.366025i | −1.36603 | + | 0.366025i | ||||
\(331\) | 0 | 0 | 0.258819 | − | 0.965926i | \(-0.416667\pi\) | ||||
−0.258819 | + | 0.965926i | \(0.583333\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 1.00000 | − | 1.00000i | 1.00000 | − | 1.00000i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 0.366025 | + | 1.36603i | 0.366025 | + | 1.36603i | ||||
\(337\) | 0 | 0 | 0.965926 | − | 0.258819i | \(-0.0833333\pi\) | ||||
−0.965926 | + | 0.258819i | \(0.916667\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −1.00000 | + | 1.00000i | −1.00000 | + | 1.00000i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 1.00000i | 1.00000i | ||||||||
\(345\) | −1.36603 | − | 0.366025i | −1.36603 | − | 0.366025i | ||||
\(346\) | −1.00000 | + | 1.73205i | −1.00000 | + | 1.73205i | ||||
\(347\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 1.36603 | + | 0.366025i | 1.36603 | + | 0.366025i | 0.866025 | − | 0.500000i | \(-0.166667\pi\) |
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(350\) | −1.36603 | − | 0.366025i | −1.36603 | − | 0.366025i | ||||
\(351\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(352\) | −1.36603 | + | 0.366025i | −1.36603 | + | 0.366025i | ||||
\(353\) | 0 | 0 | −0.965926 | − | 0.258819i | \(-0.916667\pi\) | ||||
0.965926 | + | 0.258819i | \(0.0833333\pi\) | |||||||
\(354\) | −0.366025 | + | 1.36603i | −0.366025 | + | 1.36603i | ||||
\(355\) | −1.00000 | − | 1.73205i | −1.00000 | − | 1.73205i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0.366025 | − | 1.36603i | 0.366025 | − | 1.36603i | ||||
\(359\) | −1.00000 | −1.00000 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(364\) | 1.00000 | − | 1.00000i | 1.00000 | − | 1.00000i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 1.36603 | − | 0.366025i | 1.36603 | − | 0.366025i | ||||
\(367\) | 0.366025 | + | 1.36603i | 0.366025 | + | 1.36603i | 0.866025 | + | 0.500000i | \(0.166667\pi\) |
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(368\) | −1.36603 | − | 0.366025i | −1.36603 | − | 0.366025i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(371\) | 1.00000 | + | 1.00000i | 1.00000 | + | 1.00000i | ||||
\(372\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(373\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | \(-0.666667\pi\) |
1.00000 | \(0\) | |||||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | 1.00000 | + | 1.00000i | 1.00000 | + | 1.00000i | ||||
\(379\) | 0.366025 | − | 1.36603i | 0.366025 | − | 1.36603i | −0.500000 | − | 0.866025i | \(-0.666667\pi\) |
0.866025 | − | 0.500000i | \(-0.166667\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(383\) | −1.36603 | + | 0.366025i | −1.36603 | + | 0.366025i | −0.866025 | − | 0.500000i | \(-0.833333\pi\) |
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(384\) | −1.00000 | −1.00000 | ||||||||
\(385\) | 1.73205 | − | 1.00000i | 1.73205 | − | 1.00000i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 1.36603 | − | 0.366025i | 1.36603 | − | 0.366025i | 0.500000 | − | 0.866025i | \(-0.333333\pi\) |
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(390\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | ||||
\(391\) | 0 | 0 | ||||||||
\(392\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | ||||
\(393\) | −1.00000 | + | 1.00000i | −1.00000 | + | 1.00000i | ||||
\(394\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −1.00000 | −1.00000 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(398\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(401\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(404\) | −0.366025 | − | 1.36603i | −0.366025 | − | 1.36603i | ||||
\(405\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 1.36603 | − | 0.366025i | 1.36603 | − | 0.366025i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | \(-0.333333\pi\) |
−1.00000 | \(\pi\) | |||||||||
\(410\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0.366025 | + | 1.36603i | 0.366025 | + | 1.36603i | ||||
\(413\) | − | 2.00000i | − | 2.00000i | ||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −1.36603 | − | 0.366025i | −1.36603 | − | 0.366025i | −0.500000 | − | 0.866025i | \(-0.666667\pi\) |
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(420\) | 1.36603 | − | 0.366025i | 1.36603 | − | 0.366025i | ||||
\(421\) | 1.00000 | − | 1.00000i | 1.00000 | − | 1.00000i | − | 1.00000i | \(-0.5\pi\) | |
1.00000 | \(0\) | |||||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 1.73205 | + | 1.00000i | 1.73205 | + | 1.00000i | ||||
\(427\) | −1.73205 | + | 1.00000i | −1.73205 | + | 1.00000i | ||||
\(428\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(429\) | −1.36603 | − | 0.366025i | −1.36603 | − | 0.366025i | ||||
\(430\) | 1.00000 | 1.00000 | ||||||||
\(431\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | \(0.333333\pi\) |
−1.00000 | \(\pi\) | |||||||||
\(432\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(433\) | 0 | 0 | 0.707107 | − | 0.707107i | \(-0.250000\pi\) | ||||
−0.707107 | + | 0.707107i | \(0.750000\pi\) | |||||||
\(434\) | 1.00000 | − | 1.00000i | 1.00000 | − | 1.00000i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 0 | 0 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | \(0.333333\pi\) |
−1.00000 | \(\pi\) | |||||||||
\(440\) | 0.366025 | + | 1.36603i | 0.366025 | + | 1.36603i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 1.00000 | 1.00000 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(444\) | 1.00000 | 1.00000 | ||||||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 0.366025 | + | 1.36603i | 0.366025 | + | 1.36603i | ||||
\(448\) | 1.36603 | − | 0.366025i | 1.36603 | − | 0.366025i | ||||
\(449\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | − | 1.00000i | \(-0.5\pi\) | |
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 1.36603 | − | 0.366025i | 1.36603 | − | 0.366025i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | ||||
\(454\) | 1.00000i | 1.00000i | ||||||||
\(455\) | −1.00000 | − | 1.00000i | −1.00000 | − | 1.00000i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 0 | 0 | −0.258819 | − | 0.965926i | \(-0.583333\pi\) | ||||
0.258819 | + | 0.965926i | \(0.416667\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −0.366025 | + | 1.36603i | −0.366025 | + | 1.36603i | ||||
\(461\) | −0.366025 | + | 1.36603i | −0.366025 | + | 1.36603i | 0.500000 | + | 0.866025i | \(0.333333\pi\) |
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(462\) | −1.00000 | + | 1.73205i | −1.00000 | + | 1.73205i | ||||
\(463\) | 1.36603 | − | 0.366025i | 1.36603 | − | 0.366025i | 0.500000 | − | 0.866025i | \(-0.333333\pi\) |
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −1.00000 | −1.00000 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 1.00000i | 1.00000i | ||||||||
\(472\) | 1.36603 | + | 0.366025i | 1.36603 | + | 0.366025i | ||||
\(473\) | −1.00000 | + | 1.00000i | −1.00000 | + | 1.00000i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −1.00000 | + | 1.73205i | −1.00000 | + | 1.73205i | ||||
\(479\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | −0.866025 | − | 0.500000i | \(-0.833333\pi\) |
1.00000i | \(0.5\pi\) | |||||||||
\(480\) | 1.00000i | 1.00000i | ||||||||
\(481\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −1.73205 | + | 1.00000i | −1.73205 | + | 1.00000i | ||||
\(484\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 1.00000 | + | 1.00000i | 1.00000 | + | 1.00000i | 1.00000 | \(0\) | ||
1.00000i | \(0.5\pi\) | |||||||||
\(488\) | −0.366025 | − | 1.36603i | −0.366025 | − | 1.36603i | ||||
\(489\) | 1.00000 | 1.00000 | ||||||||
\(490\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(491\) | −1.00000 | + | 1.00000i | −1.00000 | + | 1.00000i | 1.00000i | \(0.5\pi\) | ||
−1.00000 | \(\pi\) | |||||||||
\(492\) | 1.00000 | 1.00000 | ||||||||
\(493\) | 0 | 0 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | ||||
\(497\) | −2.73205 | − | 0.732051i | −2.73205 | − | 0.732051i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 0 | 0 | 0.965926 | − | 0.258819i | \(-0.0833333\pi\) | ||||
−0.965926 | + | 0.258819i | \(0.916667\pi\) | |||||||
\(500\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(501\) | 1.36603 | + | 0.366025i | 1.36603 | + | 0.366025i | ||||
\(502\) | 0.366025 | − | 1.36603i | 0.366025 | − | 1.36603i | ||||
\(503\) | 0 | 0 | 0.258819 | − | 0.965926i | \(-0.416667\pi\) | ||||
−0.258819 | + | 0.965926i | \(0.583333\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −1.36603 | + | 0.366025i | −1.36603 | + | 0.366025i | ||||
\(506\) | −1.00000 | − | 1.73205i | −1.00000 | − | 1.73205i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 1.36603 | + | 0.366025i | 1.36603 | + | 0.366025i | 0.866025 | − | 0.500000i | \(-0.166667\pi\) |
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 1.00000i | 1.00000i | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 1.36603 | − | 0.366025i | 1.36603 | − | 0.366025i | ||||
\(515\) | 1.36603 | − | 0.366025i | 1.36603 | − | 0.366025i | ||||
\(516\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(517\) | 0 | 0 | ||||||||
\(518\) | −1.36603 | + | 0.366025i | −1.36603 | + | 0.366025i | ||||
\(519\) | −2.00000 | −2.00000 | ||||||||
\(520\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(521\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | − | 1.00000i | \(-0.5\pi\) | |
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | \(-0.666667\pi\) |
1.00000 | \(0\) | |||||||||
\(524\) | 1.00000 | + | 1.00000i | 1.00000 | + | 1.00000i | ||||
\(525\) | −0.366025 | − | 1.36603i | −0.366025 | − | 1.36603i | ||||
\(526\) | 1.00000 | + | 1.00000i | 1.00000 | + | 1.00000i | ||||
\(527\) | 0 | 0 | ||||||||
\(528\) | −1.00000 | − | 1.00000i | −1.00000 | − | 1.00000i | ||||
\(529\) | − | 1.00000i | − | 1.00000i | ||||||
\(530\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 1.36603 | − | 0.366025i | 1.36603 | − | 0.366025i | ||||
\(538\) | 0.366025 | − | 1.36603i | 0.366025 | − | 1.36603i | ||||
\(539\) | 0.366025 | − | 1.36603i | 0.366025 | − | 1.36603i | ||||
\(540\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | ||||
\(541\) | 0 | 0 | 0.707107 | − | 0.707107i | \(-0.250000\pi\) | ||||
−0.707107 | + | 0.707107i | \(0.750000\pi\) | |||||||
\(542\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 1.36603 | + | 0.366025i | 1.36603 | + | 0.366025i | ||||
\(547\) | −1.00000 | −1.00000 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 1.36603 | − | 0.366025i | 1.36603 | − | 0.366025i | ||||
\(551\) | 0 | 0 | ||||||||
\(552\) | −0.366025 | − | 1.36603i | −0.366025 | − | 1.36603i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −1.00000 | −1.00000 | ||||||||
\(555\) | − | 1.00000i | − | 1.00000i | ||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | \(-0.333333\pi\) |
−1.00000 | \(\pi\) | |||||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(560\) | −0.366025 | − | 1.36603i | −0.366025 | − | 1.36603i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(563\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | − | 1.00000i | − | 1.00000i | ||||||
\(567\) | −0.366025 | + | 1.36603i | −0.366025 | + | 1.36603i | ||||
\(568\) | 1.00000 | − | 1.73205i | 1.00000 | − | 1.73205i | ||||
\(569\) | 1.00000 | 1.00000 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −1.36603 | − | 0.366025i | −1.36603 | − | 0.366025i | −0.500000 | − | 0.866025i | \(-0.666667\pi\) |
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(572\) | −0.366025 | + | 1.36603i | −0.366025 | + | 1.36603i | ||||
\(573\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(574\) | −1.36603 | + | 0.366025i | −1.36603 | + | 0.366025i | ||||
\(575\) | 1.36603 | + | 0.366025i | 1.36603 | + | 0.366025i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 1.36603 | + | 0.366025i | 1.36603 | + | 0.366025i | 0.866025 | − | 0.500000i | \(-0.166667\pi\) |
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(578\) | −1.00000 | −1.00000 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −1.36603 | − | 0.366025i | −1.36603 | − | 0.366025i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | − | 1.00000i | − | 1.00000i | ||||||
\(587\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | 0.866025 | − | 0.500000i | \(-0.166667\pi\) |
1.00000i | \(0.5\pi\) | |||||||||
\(588\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 0.366025 | − | 1.36603i | 0.366025 | − | 1.36603i | ||||
\(591\) | 1.00000 | 1.00000 | ||||||||
\(592\) | − | 1.00000i | − | 1.00000i | ||||||
\(593\) | 1.00000 | + | 1.00000i | 1.00000 | + | 1.00000i | 1.00000 | \(0\) | ||
1.00000i | \(0.5\pi\) | |||||||||
\(594\) | −1.36603 | − | 0.366025i | −1.36603 | − | 0.366025i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 1.36603 | − | 0.366025i | 1.36603 | − | 0.366025i | ||||
\(597\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(598\) | −1.00000 | + | 1.00000i | −1.00000 | + | 1.00000i | ||||
\(599\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | \(-0.666667\pi\) |
1.00000 | \(0\) | |||||||||
\(600\) | 1.00000 | 1.00000 | ||||||||
\(601\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | − | 1.00000i | \(-0.5\pi\) | |
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(602\) | 1.00000 | − | 1.00000i | 1.00000 | − | 1.00000i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(605\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(606\) | 1.00000 | − | 1.00000i | 1.00000 | − | 1.00000i | ||||
\(607\) | −1.36603 | − | 0.366025i | −1.36603 | − | 0.366025i | −0.500000 | − | 0.866025i | \(-0.666667\pi\) |
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −1.36603 | + | 0.366025i | −1.36603 | + | 0.366025i | ||||
\(611\) | 0 | 0 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 1.00000 | + | 1.73205i | 1.00000 | + | 1.73205i | 0.500000 | + | 0.866025i | \(0.333333\pi\) |
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(614\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(615\) | − | 1.00000i | − | 1.00000i | ||||||
\(616\) | 1.73205 | + | 1.00000i | 1.73205 | + | 1.00000i | ||||
\(617\) | 0 | 0 | −0.965926 | − | 0.258819i | \(-0.916667\pi\) | ||||
0.965926 | + | 0.258819i | \(0.0833333\pi\) | |||||||
\(618\) | −1.00000 | + | 1.00000i | −1.00000 | + | 1.00000i | ||||
\(619\) | 0 | 0 | 0.707107 | − | 0.707107i | \(-0.250000\pi\) | ||||
−0.707107 | + | 0.707107i | \(0.750000\pi\) | |||||||
\(620\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(621\) | −1.00000 | − | 1.00000i | −1.00000 | − | 1.00000i | ||||
\(622\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(625\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(626\) | −1.36603 | + | 0.366025i | −1.36603 | + | 0.366025i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 1.00000 | 1.00000 | ||||||||
\(629\) | 0 | 0 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | −0.866025 | − | 0.500000i | \(-0.833333\pi\) |
1.00000i | \(0.5\pi\) | |||||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(637\) | −1.00000 | −1.00000 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 1.00000 | 1.00000 | ||||||||
\(641\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | 1.00000 | \(0\) | ||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(642\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(643\) | 1.00000i | 1.00000i | 0.866025 | + | 0.500000i | \(0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(644\) | 1.00000 | + | 1.73205i | 1.00000 | + | 1.73205i | ||||
\(645\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 0 | 0 | −0.258819 | − | 0.965926i | \(-0.583333\pi\) | ||||
0.258819 | + | 0.965926i | \(0.416667\pi\) | |||||||
\(648\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(649\) | 1.00000 | + | 1.73205i | 1.00000 | + | 1.73205i | ||||
\(650\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | ||||
\(651\) | 1.36603 | + | 0.366025i | 1.36603 | + | 0.366025i | ||||
\(652\) | − | 1.00000i | − | 1.00000i | ||||||
\(653\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | 0.866025 | − | 0.500000i | \(-0.166667\pi\) |
1.00000i | \(0.5\pi\) | |||||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 1.00000 | − | 1.00000i | 1.00000 | − | 1.00000i | ||||
\(656\) | − | 1.00000i | − | 1.00000i | ||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 0 | 0 | 0.965926 | − | 0.258819i | \(-0.0833333\pi\) | ||||
−0.965926 | + | 0.258819i | \(0.916667\pi\) | |||||||
\(660\) | −1.00000 | + | 1.00000i | −1.00000 | + | 1.00000i | ||||
\(661\) | −0.366025 | − | 1.36603i | −0.366025 | − | 1.36603i | −0.866025 | − | 0.500000i | \(-0.833333\pi\) |
0.500000 | − | 0.866025i | \(-0.333333\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0 | 0 | ||||||||
\(668\) | 0.366025 | − | 1.36603i | 0.366025 | − | 1.36603i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 1.00000 | − | 1.73205i | 1.00000 | − | 1.73205i | ||||
\(672\) | 1.00000 | + | 1.00000i | 1.00000 | + | 1.00000i | ||||
\(673\) | 0 | 0 | −0.258819 | − | 0.965926i | \(-0.583333\pi\) | ||||
0.258819 | + | 0.965926i | \(0.416667\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(682\) | −0.366025 | + | 1.36603i | −0.366025 | + | 1.36603i | ||||
\(683\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | 1.00000 | \(0\) | ||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | ||||
\(689\) | 1.00000i | 1.00000i | ||||||||
\(690\) | −1.36603 | + | 0.366025i | −1.36603 | + | 0.366025i | ||||
\(691\) | 0 | 0 | −0.965926 | − | 0.258819i | \(-0.916667\pi\) | ||||
0.965926 | + | 0.258819i | \(0.0833333\pi\) | |||||||
\(692\) | 2.00000i | 2.00000i | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0 | 0 | ||||||||
\(698\) | 1.36603 | − | 0.366025i | 1.36603 | − | 0.366025i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −1.36603 | + | 0.366025i | −1.36603 | + | 0.366025i | ||||
\(701\) | 0.366025 | − | 1.36603i | 0.366025 | − | 1.36603i | −0.500000 | − | 0.866025i | \(-0.666667\pi\) |
0.866025 | − | 0.500000i | \(-0.166667\pi\) | |||||||
\(702\) | 1.00000i | 1.00000i | ||||||||
\(703\) | 0 | 0 | ||||||||
\(704\) | −1.00000 | + | 1.00000i | −1.00000 | + | 1.00000i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −1.00000 | + | 1.73205i | −1.00000 | + | 1.73205i | ||||
\(708\) | 0.366025 | + | 1.36603i | 0.366025 | + | 1.36603i | ||||
\(709\) | 0 | 0 | 0.707107 | − | 0.707107i | \(-0.250000\pi\) | ||||
−0.707107 | + | 0.707107i | \(0.750000\pi\) | |||||||
\(710\) | −1.73205 | − | 1.00000i | −1.73205 | − | 1.00000i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −1.00000 | + | 1.00000i | −1.00000 | + | 1.00000i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 1.36603 | + | 0.366025i | 1.36603 | + | 0.366025i | ||||
\(716\) | −0.366025 | − | 1.36603i | −0.366025 | − | 1.36603i | ||||
\(717\) | −2.00000 | −2.00000 | ||||||||
\(718\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(719\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | − | 1.00000i | \(-0.5\pi\) | |
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 1.00000 | − | 1.73205i | 1.00000 | − | 1.73205i | ||||
\(722\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 0 | 0 | ||||||||
\(726\) | − | 1.00000i | − | 1.00000i | ||||||
\(727\) | −1.36603 | + | 0.366025i | −1.36603 | + | 0.366025i | −0.866025 | − | 0.500000i | \(-0.833333\pi\) |
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(728\) | 0.366025 | − | 1.36603i | 0.366025 | − | 1.36603i | ||||
\(729\) | −1.00000 | −1.00000 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 0 | 0 | ||||||||
\(732\) | 1.00000 | − | 1.00000i | 1.00000 | − | 1.00000i | ||||
\(733\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(734\) | 1.00000 | + | 1.00000i | 1.00000 | + | 1.00000i | ||||
\(735\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(736\) | −1.36603 | + | 0.366025i | −1.36603 | + | 0.366025i | ||||
\(737\) | 0 | 0 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 0 | 0 | −0.707107 | − | 0.707107i | \(-0.750000\pi\) | ||||
0.707107 | + | 0.707107i | \(0.250000\pi\) | |||||||
\(740\) | −1.00000 | −1.00000 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 1.36603 | + | 0.366025i | 1.36603 | + | 0.366025i | ||||
\(743\) | 0.366025 | + | 1.36603i | 0.366025 | + | 1.36603i | 0.866025 | + | 0.500000i | \(0.166667\pi\) |
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(744\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(745\) | −0.366025 | − | 1.36603i | −0.366025 | − | 1.36603i | ||||
\(746\) | − | 1.00000i | − | 1.00000i | ||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 1.36603 | + | 0.366025i | 1.36603 | + | 0.366025i | ||||
\(750\) | − | 1.00000i | − | 1.00000i | ||||||
\(751\) | −1.00000 | −1.00000 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 1.36603 | − | 0.366025i | 1.36603 | − | 0.366025i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | ||||
\(756\) | 1.36603 | + | 0.366025i | 1.36603 | + | 0.366025i | ||||
\(757\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | − | 1.00000i | \(-0.5\pi\) | |
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(758\) | −0.366025 | − | 1.36603i | −0.366025 | − | 1.36603i | ||||
\(759\) | 1.00000 | − | 1.73205i | 1.00000 | − | 1.73205i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −1.00000 | + | 1.00000i | −1.00000 | + | 1.00000i | ||||
\(767\) | 1.00000 | − | 1.00000i | 1.00000 | − | 1.00000i | ||||
\(768\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(769\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(770\) | 1.00000 | − | 1.73205i | 1.00000 | − | 1.73205i | ||||
\(771\) | 1.00000 | + | 1.00000i | 1.00000 | + | 1.00000i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | \(0.333333\pi\) |
−1.00000 | \(\pi\) | |||||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −1.00000 | − | 1.00000i | −1.00000 | − | 1.00000i | ||||
\(778\) | 1.00000 | − | 1.00000i | 1.00000 | − | 1.00000i | ||||
\(779\) | 0 | 0 | ||||||||
\(780\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(781\) | 2.73205 | − | 0.732051i | 2.73205 | − | 0.732051i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(785\) | − | 1.00000i | − | 1.00000i | ||||||
\(786\) | −0.366025 | + | 1.36603i | −0.366025 | + | 1.36603i | ||||
\(787\) | −1.00000 | −1.00000 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(788\) | − | 1.00000i | − | 1.00000i | ||||||
\(789\) | −0.366025 | + | 1.36603i | −0.366025 | + | 1.36603i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −1.36603 | − | 0.366025i | −1.36603 | − | 0.366025i | ||||
\(794\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(795\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(796\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(797\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | \(-0.333333\pi\) |
−1.00000 | \(\pi\) | |||||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0 | 0 | ||||||||
\(800\) | − | 1.00000i | − | 1.00000i | ||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 0 | 0 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 1.73205 | − | 1.00000i | 1.73205 | − | 1.00000i | ||||
\(806\) | 1.00000 | 1.00000 | ||||||||
\(807\) | 1.36603 | − | 0.366025i | 1.36603 | − | 0.366025i | ||||
\(808\) | −1.00000 | − | 1.00000i | −1.00000 | − | 1.00000i | ||||
\(809\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | \(-0.666667\pi\) |
1.00000 | \(0\) | |||||||||
\(810\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(811\) | 0 | 0 | 0.965926 | − | 0.258819i | \(-0.0833333\pi\) | ||||
−0.965926 | + | 0.258819i | \(0.916667\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | − | 1.00000i | − | 1.00000i | ||||||
\(814\) | 1.00000 | − | 1.00000i | 1.00000 | − | 1.00000i | ||||
\(815\) | −1.00000 | −1.00000 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0 | 0 | ||||||||
\(818\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −1.00000 | −1.00000 | ||||||||
\(821\) | 0.366025 | + | 1.36603i | 0.366025 | + | 1.36603i | 0.866025 | + | 0.500000i | \(0.166667\pi\) |
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 1.36603 | + | 0.366025i | 1.36603 | + | 0.366025i | 0.866025 | − | 0.500000i | \(-0.166667\pi\) |
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(824\) | 1.00000 | + | 1.00000i | 1.00000 | + | 1.00000i | ||||
\(825\) | 1.00000 | + | 1.00000i | 1.00000 | + | 1.00000i | ||||
\(826\) | −1.00000 | − | 1.73205i | −1.00000 | − | 1.73205i | ||||
\(827\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 1.36603 | + | 0.366025i | 1.36603 | + | 0.366025i | 0.866025 | − | 0.500000i | \(-0.166667\pi\) |
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | ||||
\(832\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −1.36603 | − | 0.366025i | −1.36603 | − | 0.366025i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 1.00000i | 1.00000i | ||||||||
\(838\) | −1.36603 | + | 0.366025i | −1.36603 | + | 0.366025i | ||||
\(839\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | \(-0.333333\pi\) |
−1.00000 | \(\pi\) | |||||||||
\(840\) | 1.00000 | − | 1.00000i | 1.00000 | − | 1.00000i | ||||
\(841\) | 1.00000i | 1.00000i | ||||||||
\(842\) | 0.366025 | − | 1.36603i | 0.366025 | − | 1.36603i | ||||
\(843\) | −1.00000 | −1.00000 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 0.366025 | + | 1.36603i | 0.366025 | + | 1.36603i | ||||
\(848\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(849\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 1.36603 | − | 0.366025i | 1.36603 | − | 0.366025i | ||||
\(852\) | 2.00000 | 2.00000 | ||||||||
\(853\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | \(-0.333333\pi\) |
−1.00000 | \(\pi\) | |||||||||
\(854\) | −1.00000 | + | 1.73205i | −1.00000 | + | 1.73205i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(857\) | 1.00000 | + | 1.00000i | 1.00000 | + | 1.00000i | 1.00000 | \(0\) | ||
1.00000i | \(0.5\pi\) | |||||||||
\(858\) | −1.36603 | + | 0.366025i | −1.36603 | + | 0.366025i | ||||
\(859\) | 1.00000 | + | 1.00000i | 1.00000 | + | 1.00000i | 1.00000 | \(0\) | ||
1.00000i | \(0.5\pi\) | |||||||||
\(860\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(861\) | −1.00000 | − | 1.00000i | −1.00000 | − | 1.00000i | ||||
\(862\) | 1.00000i | 1.00000i | ||||||||
\(863\) | 0 | 0 | −0.965926 | − | 0.258819i | \(-0.916667\pi\) | ||||
0.965926 | + | 0.258819i | \(0.0833333\pi\) | |||||||
\(864\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(865\) | 2.00000 | 2.00000 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | ||||
\(868\) | 0.366025 | − | 1.36603i | 0.366025 | − | 1.36603i | ||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0 | 0 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 0.366025 | + | 1.36603i | 0.366025 | + | 1.36603i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −1.00000 | −1.00000 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(878\) | 1.00000i | 1.00000i | ||||||||
\(879\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(880\) | 1.00000 | + | 1.00000i | 1.00000 | + | 1.00000i | ||||
\(881\) | −1.00000 | + | 1.73205i | −1.00000 | + | 1.73205i | −0.500000 | + | 0.866025i | \(0.666667\pi\) |
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | − | 1.00000i | \(-0.5\pi\) | |
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 1.36603 | − | 0.366025i | 1.36603 | − | 0.366025i | ||||
\(886\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(887\) | −1.00000 | − | 1.00000i | −1.00000 | − | 1.00000i | − | 1.00000i | \(-0.5\pi\) | |
−1.00000 | \(\pi\) | |||||||||
\(888\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −0.366025 | − | 1.36603i | −0.366025 | − | 1.36603i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | 1.00000 | + | 1.00000i | 1.00000 | + | 1.00000i | ||||
\(895\) | −1.36603 | + | 0.366025i | −1.36603 | + | 0.366025i | ||||
\(896\) | 1.00000 | − | 1.00000i | 1.00000 | − | 1.00000i | ||||
\(897\) | −1.36603 | − | 0.366025i | −1.36603 | − | 0.366025i | ||||
\(898\) | −1.00000 | −1.00000 | ||||||||
\(899\) | 0 | 0 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 0 | 0 | ||||||||
\(902\) | 1.00000 | − | 1.00000i | 1.00000 | − | 1.00000i | ||||
\(903\) | 1.36603 | + | 0.366025i | 1.36603 | + | 0.366025i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(907\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(908\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −1.36603 | − | 0.366025i | −1.36603 | − | 0.366025i | ||||
\(911\) | 1.00000 | 1.00000 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 0 | 0 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −1.00000 | − | 1.00000i | −1.00000 | − | 1.00000i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | − | 2.00000i | − | 2.00000i | ||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(920\) | 0.366025 | + | 1.36603i | 0.366025 | + | 1.36603i | ||||
\(921\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(922\) | 0.366025 | + | 1.36603i | 0.366025 | + | 1.36603i | ||||
\(923\) | −1.00000 | − | 1.73205i | −1.00000 | − | 1.73205i | ||||
\(924\) | 2.00000i | 2.00000i | ||||||||
\(925\) | 1.00000i | 1.00000i | ||||||||
\(926\) | 1.00000 | − | 1.00000i | 1.00000 | − | 1.00000i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | 0.866025 | − | 0.500000i | \(-0.166667\pi\) |
1.00000i | \(0.5\pi\) | |||||||||
\(930\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −1.00000 | −1.00000 | ||||||||
\(934\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −0.366025 | + | 1.36603i | −0.366025 | + | 1.36603i | 0.500000 | + | 0.866025i | \(0.333333\pi\) |
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −1.00000 | − | 1.00000i | −1.00000 | − | 1.00000i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −0.366025 | + | 1.36603i | −0.366025 | + | 1.36603i | 0.500000 | + | 0.866025i | \(0.333333\pi\) |
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(942\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | ||||
\(943\) | 1.36603 | − | 0.366025i | 1.36603 | − | 0.366025i | ||||
\(944\) | 1.36603 | − | 0.366025i | 1.36603 | − | 0.366025i | ||||
\(945\) | 0.366025 | − | 1.36603i | 0.366025 | − | 1.36603i | ||||
\(946\) | −0.366025 | + | 1.36603i | −0.366025 | + | 1.36603i | ||||
\(947\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | 1.00000 | \(0\) | ||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 0 | 0 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | − | 1.00000i | − | 1.00000i | ||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 0 | 0 | 0.258819 | − | 0.965926i | \(-0.416667\pi\) | ||||
−0.258819 | + | 0.965926i | \(0.583333\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(956\) | 2.00000i | 2.00000i | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | ||||
\(961\) | 0 | 0 | ||||||||
\(962\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −1.00000 | + | 1.73205i | −1.00000 | + | 1.73205i | ||||
\(967\) | −1.36603 | + | 0.366025i | −1.36603 | + | 0.366025i | −0.866025 | − | 0.500000i | \(-0.833333\pi\) |
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(968\) | −1.00000 | −1.00000 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −1.36603 | − | 0.366025i | −1.36603 | − | 0.366025i | −0.500000 | − | 0.866025i | \(-0.666667\pi\) |
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 1.36603 | + | 0.366025i | 1.36603 | + | 0.366025i | ||||
\(975\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(976\) | −1.00000 | − | 1.00000i | −1.00000 | − | 1.00000i | ||||
\(977\) | 0 | 0 | 0.258819 | − | 0.965926i | \(-0.416667\pi\) | ||||
−0.258819 | + | 0.965926i | \(0.583333\pi\) | |||||||
\(978\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(979\) | 0 | 0 | ||||||||
\(980\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −0.366025 | + | 1.36603i | −0.366025 | + | 1.36603i | ||||
\(983\) | 0 | 0 | 0.258819 | − | 0.965926i | \(-0.416667\pi\) | ||||
−0.258819 | + | 0.965926i | \(0.583333\pi\) | |||||||
\(984\) | 0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | ||||
\(985\) | −1.00000 | −1.00000 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −1.00000 | + | 1.00000i | −1.00000 | + | 1.00000i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 1.00000 | 1.00000 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(992\) | 0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −2.73205 | + | 0.732051i | −2.73205 | + | 0.732051i | ||||
\(995\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | −0.866025 | − | 0.500000i | \(-0.833333\pi\) |
1.00000i | \(0.5\pi\) | |||||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i |
(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 | 2960.1.fm.a.2653.1 | yes | 4 | |
5.2 | odd | 4 | 2960.1.dn.a.877.1 | ✓ | 4 | ||
16.5 | even | 4 | 2960.1.dn.a.1173.1 | yes | 4 | ||
37.10 | even | 3 | inner | 2960.1.fm.a.1453.1 | yes | 4 | |
80.37 | odd | 4 | inner | 2960.1.fm.a.2357.1 | yes | 4 | |
185.47 | odd | 12 | 2960.1.dn.a.2637.1 | yes | 4 | ||
592.565 | even | 12 | 2960.1.dn.a.2933.1 | yes | 4 | ||
2960.1157 | odd | 12 | inner | 2960.1.fm.a.1157.1 | yes | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
2960.1.dn.a.877.1 | ✓ | 4 | 5.2 | odd | 4 | ||
2960.1.dn.a.1173.1 | yes | 4 | 16.5 | even | 4 | ||
2960.1.dn.a.2637.1 | yes | 4 | 185.47 | odd | 12 | ||
2960.1.dn.a.2933.1 | yes | 4 | 592.565 | even | 12 | ||
2960.1.fm.a.1157.1 | yes | 4 | 2960.1157 | odd | 12 | inner | |
2960.1.fm.a.1453.1 | yes | 4 | 37.10 | even | 3 | inner | |
2960.1.fm.a.2357.1 | yes | 4 | 80.37 | odd | 4 | inner | |
2960.1.fm.a.2653.1 | yes | 4 | 1.1 | even | 1 | trivial |