Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [3332,1,Mod(407,3332)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(3332, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([7, 10, 7]))
N = Newforms(chi, 1, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("3332.407");
S:= CuspForms(chi, 1);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 3332 = 2^{2} \cdot 7^{2} \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 1 \) |
Character orbit: | \([\chi]\) | \(=\) | 3332.be (of order \(14\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.66288462209\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{14})\) |
Coefficient field: | \(\Q(\zeta_{28})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - x^{10} + x^{8} - x^{6} + x^{4} - x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Projective image: | \(D_{14}\) |
Projective field: | Galois closure of \(\mathbb{Q}[x]/(x^{14} - \cdots)\) |
Embedding invariants
Embedding label | 2787.1 | ||
Root | \(0.781831 + 0.623490i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 3332.2787 |
Dual form | 3332.1.be.c.2311.1 |
$q$-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 \(\left(\mathbb{Z}/3332\mathbb{Z}\right)^\times\).
\(n\) | \(785\) | \(885\) | \(1667\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{7}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.623490 | + | 0.781831i | −0.623490 | + | 0.781831i | ||||
\(3\) | −0.781831 | − | 0.376510i | −0.781831 | − | 0.376510i | − | 1.00000i | \(-0.5\pi\) | |
−0.781831 | + | 0.623490i | \(0.785714\pi\) | |||||||
\(4\) | −0.222521 | − | 0.974928i | −0.222521 | − | 0.974928i | ||||
\(5\) | 0 | 0 | −0.900969 | − | 0.433884i | \(-0.857143\pi\) | ||||
0.900969 | + | 0.433884i | \(0.142857\pi\) | |||||||
\(6\) | 0.781831 | − | 0.376510i | 0.781831 | − | 0.376510i | ||||
\(7\) | −0.433884 | + | 0.900969i | −0.433884 | + | 0.900969i | ||||
\(8\) | 0.900969 | + | 0.433884i | 0.900969 | + | 0.433884i | ||||
\(9\) | −0.153989 | − | 0.193096i | −0.153989 | − | 0.193096i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.974928 | − | 1.22252i | 0.974928 | − | 1.22252i | − | 1.00000i | \(-0.5\pi\) | |
0.974928 | − | 0.222521i | \(-0.0714286\pi\) | |||||||
\(12\) | −0.193096 | + | 0.846011i | −0.193096 | + | 0.846011i | ||||
\(13\) | −0.777479 | + | 0.974928i | −0.777479 | + | 0.974928i | 0.222521 | + | 0.974928i | \(0.428571\pi\) |
−1.00000 | \(\pi\) | |||||||||
\(14\) | −0.433884 | − | 0.900969i | −0.433884 | − | 0.900969i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.900969 | + | 0.433884i | −0.900969 | + | 0.433884i | ||||
\(17\) | −0.222521 | + | 0.974928i | −0.222521 | + | 0.974928i | ||||
\(18\) | 0.246980 | 0.246980 | ||||||||
\(19\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0.678448 | − | 0.541044i | 0.678448 | − | 0.541044i | ||||
\(22\) | 0.347948 | + | 1.52446i | 0.347948 | + | 1.52446i | ||||
\(23\) | −0.347948 | − | 1.52446i | −0.347948 | − | 1.52446i | −0.781831 | − | 0.623490i | \(-0.785714\pi\) |
0.433884 | − | 0.900969i | \(-0.357143\pi\) | |||||||
\(24\) | −0.541044 | − | 0.678448i | −0.541044 | − | 0.678448i | ||||
\(25\) | 0.623490 | + | 0.781831i | 0.623490 | + | 0.781831i | ||||
\(26\) | −0.277479 | − | 1.21572i | −0.277479 | − | 1.21572i | ||||
\(27\) | 0.240787 | + | 1.05496i | 0.240787 | + | 1.05496i | ||||
\(28\) | 0.974928 | + | 0.222521i | 0.974928 | + | 0.222521i | ||||
\(29\) | 0 | 0 | 0.222521 | − | 0.974928i | \(-0.428571\pi\) | ||||
−0.222521 | + | 0.974928i | \(0.571429\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.867767 | −0.867767 | −0.433884 | − | 0.900969i | \(-0.642857\pi\) | ||||
−0.433884 | + | 0.900969i | \(0.642857\pi\) | |||||||
\(32\) | 0.222521 | − | 0.974928i | 0.222521 | − | 0.974928i | ||||
\(33\) | −1.22252 | + | 0.588735i | −1.22252 | + | 0.588735i | ||||
\(34\) | −0.623490 | − | 0.781831i | −0.623490 | − | 0.781831i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −0.153989 | + | 0.193096i | −0.153989 | + | 0.193096i | ||||
\(37\) | 0 | 0 | 0.222521 | − | 0.974928i | \(-0.428571\pi\) | ||||
−0.222521 | + | 0.974928i | \(0.571429\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0.974928 | − | 0.469501i | 0.974928 | − | 0.469501i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 0 | 0 | −0.900969 | − | 0.433884i | \(-0.857143\pi\) | ||||
0.900969 | + | 0.433884i | \(0.142857\pi\) | |||||||
\(42\) | 0.867767i | 0.867767i | ||||||||
\(43\) | 0 | 0 | 0.900969 | − | 0.433884i | \(-0.142857\pi\) | ||||
−0.900969 | + | 0.433884i | \(0.857143\pi\) | |||||||
\(44\) | −1.40881 | − | 0.678448i | −1.40881 | − | 0.678448i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.40881 | + | 0.678448i | 1.40881 | + | 0.678448i | ||||
\(47\) | 0 | 0 | 0.623490 | − | 0.781831i | \(-0.285714\pi\) | ||||
−0.623490 | + | 0.781831i | \(0.714286\pi\) | |||||||
\(48\) | 0.867767 | 0.867767 | ||||||||
\(49\) | −0.623490 | − | 0.781831i | −0.623490 | − | 0.781831i | ||||
\(50\) | −1.00000 | −1.00000 | ||||||||
\(51\) | 0.541044 | − | 0.678448i | 0.541044 | − | 0.678448i | ||||
\(52\) | 1.12349 | + | 0.541044i | 1.12349 | + | 0.541044i | ||||
\(53\) | 0.400969 | + | 1.75676i | 0.400969 | + | 1.75676i | 0.623490 | + | 0.781831i | \(0.285714\pi\) |
−0.222521 | + | 0.974928i | \(0.571429\pi\) | |||||||
\(54\) | −0.974928 | − | 0.469501i | −0.974928 | − | 0.469501i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −0.781831 | + | 0.623490i | −0.781831 | + | 0.623490i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 0 | 0 | 0.900969 | − | 0.433884i | \(-0.142857\pi\) | ||||
−0.900969 | + | 0.433884i | \(0.857143\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0 | 0 | 0.222521 | − | 0.974928i | \(-0.428571\pi\) | ||||
−0.222521 | + | 0.974928i | \(0.571429\pi\) | |||||||
\(62\) | 0.541044 | − | 0.678448i | 0.541044 | − | 0.678448i | ||||
\(63\) | 0.240787 | − | 0.0549581i | 0.240787 | − | 0.0549581i | ||||
\(64\) | 0.623490 | + | 0.781831i | 0.623490 | + | 0.781831i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0.301938 | − | 1.32288i | 0.301938 | − | 1.32288i | ||||
\(67\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(68\) | 1.00000 | 1.00000 | ||||||||
\(69\) | −0.301938 | + | 1.32288i | −0.301938 | + | 1.32288i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 0.193096 | + | 0.846011i | 0.193096 | + | 0.846011i | 0.974928 | + | 0.222521i | \(0.0714286\pi\) |
−0.781831 | + | 0.623490i | \(0.785714\pi\) | |||||||
\(72\) | −0.0549581 | − | 0.240787i | −0.0549581 | − | 0.240787i | ||||
\(73\) | 0 | 0 | −0.623490 | − | 0.781831i | \(-0.714286\pi\) | ||||
0.623490 | + | 0.781831i | \(0.285714\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −0.193096 | − | 0.846011i | −0.193096 | − | 0.846011i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 0.678448 | + | 1.40881i | 0.678448 | + | 1.40881i | ||||
\(78\) | −0.240787 | + | 1.05496i | −0.240787 | + | 1.05496i | ||||
\(79\) | −1.56366 | −1.56366 | −0.781831 | − | 0.623490i | \(-0.785714\pi\) | ||||
−0.781831 | + | 0.623490i | \(0.785714\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0.153989 | − | 0.674671i | 0.153989 | − | 0.674671i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 0 | 0 | −0.623490 | − | 0.781831i | \(-0.714286\pi\) | ||||
0.623490 | + | 0.781831i | \(0.285714\pi\) | |||||||
\(84\) | −0.678448 | − | 0.541044i | −0.678448 | − | 0.541044i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 1.40881 | − | 0.678448i | 1.40881 | − | 0.678448i | ||||
\(89\) | 1.12349 | + | 1.40881i | 1.12349 | + | 1.40881i | 0.900969 | + | 0.433884i | \(0.142857\pi\) |
0.222521 | + | 0.974928i | \(0.428571\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.541044 | − | 1.12349i | −0.541044 | − | 1.12349i | ||||
\(92\) | −1.40881 | + | 0.678448i | −1.40881 | + | 0.678448i | ||||
\(93\) | 0.678448 | + | 0.326723i | 0.678448 | + | 0.326723i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −0.541044 | + | 0.678448i | −0.541044 | + | 0.678448i | ||||
\(97\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(98\) | 1.00000 | 1.00000 | ||||||||
\(99\) | −0.386193 | −0.386193 | ||||||||
\(100\) | 0.623490 | − | 0.781831i | 0.623490 | − | 0.781831i | ||||
\(101\) | 1.12349 | + | 0.541044i | 1.12349 | + | 0.541044i | 0.900969 | − | 0.433884i | \(-0.142857\pi\) |
0.222521 | + | 0.974928i | \(0.428571\pi\) | |||||||
\(102\) | 0.193096 | + | 0.846011i | 0.193096 | + | 0.846011i | ||||
\(103\) | 0 | 0 | −0.900969 | − | 0.433884i | \(-0.857143\pi\) | ||||
0.900969 | + | 0.433884i | \(0.142857\pi\) | |||||||
\(104\) | −1.12349 | + | 0.541044i | −1.12349 | + | 0.541044i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −1.62349 | − | 0.781831i | −1.62349 | − | 0.781831i | ||||
\(107\) | 1.21572 | + | 1.52446i | 1.21572 | + | 1.52446i | 0.781831 | + | 0.623490i | \(0.214286\pi\) |
0.433884 | + | 0.900969i | \(0.357143\pi\) | |||||||
\(108\) | 0.974928 | − | 0.469501i | 0.974928 | − | 0.469501i | ||||
\(109\) | 0 | 0 | 0.623490 | − | 0.781831i | \(-0.285714\pi\) | ||||
−0.623490 | + | 0.781831i | \(0.714286\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | − | 1.00000i | − | 1.00000i | ||||||
\(113\) | 0 | 0 | −0.623490 | − | 0.781831i | \(-0.714286\pi\) | ||||
0.623490 | + | 0.781831i | \(0.285714\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0.307979 | 0.307979 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −0.781831 | − | 0.623490i | −0.781831 | − | 0.623490i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −0.321552 | − | 1.40881i | −0.321552 | − | 1.40881i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0.193096 | + | 0.846011i | 0.193096 | + | 0.846011i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −0.107160 | + | 0.222521i | −0.107160 | + | 0.222521i | ||||
\(127\) | 0 | 0 | 0.222521 | − | 0.974928i | \(-0.428571\pi\) | ||||
−0.222521 | + | 0.974928i | \(0.571429\pi\) | |||||||
\(128\) | −1.00000 | −1.00000 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −1.40881 | + | 0.678448i | −1.40881 | + | 0.678448i | −0.974928 | − | 0.222521i | \(-0.928571\pi\) |
−0.433884 | + | 0.900969i | \(0.642857\pi\) | |||||||
\(132\) | 0.846011 | + | 1.06086i | 0.846011 | + | 1.06086i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −0.623490 | + | 0.781831i | −0.623490 | + | 0.781831i | ||||
\(137\) | −1.62349 | + | 0.781831i | −1.62349 | + | 0.781831i | −0.623490 | + | 0.781831i | \(0.714286\pi\) |
−1.00000 | \(1.00000\pi\) | |||||||||
\(138\) | −0.846011 | − | 1.06086i | −0.846011 | − | 1.06086i | ||||
\(139\) | 1.40881 | + | 0.678448i | 1.40881 | + | 0.678448i | 0.974928 | − | 0.222521i | \(-0.0714286\pi\) |
0.433884 | + | 0.900969i | \(0.357143\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −0.781831 | − | 0.376510i | −0.781831 | − | 0.376510i | ||||
\(143\) | 0.433884 | + | 1.90097i | 0.433884 | + | 1.90097i | ||||
\(144\) | 0.222521 | + | 0.107160i | 0.222521 | + | 0.107160i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0.193096 | + | 0.846011i | 0.193096 | + | 0.846011i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −1.12349 | + | 1.40881i | −1.12349 | + | 1.40881i | −0.222521 | + | 0.974928i | \(0.571429\pi\) |
−0.900969 | + | 0.433884i | \(0.857143\pi\) | |||||||
\(150\) | 0.781831 | + | 0.376510i | 0.781831 | + | 0.376510i | ||||
\(151\) | 0 | 0 | −0.222521 | − | 0.974928i | \(-0.571429\pi\) | ||||
0.222521 | + | 0.974928i | \(0.428571\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0.222521 | − | 0.107160i | 0.222521 | − | 0.107160i | ||||
\(154\) | −1.52446 | − | 0.347948i | −1.52446 | − | 0.347948i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −0.674671 | − | 0.846011i | −0.674671 | − | 0.846011i | ||||
\(157\) | −1.12349 | + | 0.541044i | −1.12349 | + | 0.541044i | −0.900969 | − | 0.433884i | \(-0.857143\pi\) |
−0.222521 | + | 0.974928i | \(0.571429\pi\) | |||||||
\(158\) | 0.974928 | − | 1.22252i | 0.974928 | − | 1.22252i | ||||
\(159\) | 0.347948 | − | 1.52446i | 0.347948 | − | 1.52446i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 1.52446 | + | 0.347948i | 1.52446 | + | 0.347948i | ||||
\(162\) | 0.431468 | + | 0.541044i | 0.431468 | + | 0.541044i | ||||
\(163\) | 0 | 0 | −0.433884 | − | 0.900969i | \(-0.642857\pi\) | ||||
0.433884 | + | 0.900969i | \(0.357143\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −0.433884 | + | 1.90097i | −0.433884 | + | 1.90097i | 1.00000i | \(0.5\pi\) | ||
−0.433884 | + | 0.900969i | \(0.642857\pi\) | |||||||
\(168\) | 0.846011 | − | 0.193096i | 0.846011 | − | 0.193096i | ||||
\(169\) | −0.123490 | − | 0.541044i | −0.123490 | − | 0.541044i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 0 | 0 | −0.222521 | − | 0.974928i | \(-0.571429\pi\) | ||||
0.222521 | + | 0.974928i | \(0.428571\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.974928 | + | 0.222521i | −0.974928 | + | 0.222521i | ||||
\(176\) | −0.347948 | + | 1.52446i | −0.347948 | + | 1.52446i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −1.80194 | −1.80194 | ||||||||
\(179\) | 0 | 0 | 0.222521 | − | 0.974928i | \(-0.428571\pi\) | ||||
−0.222521 | + | 0.974928i | \(0.571429\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 0 | 0 | −0.623490 | − | 0.781831i | \(-0.714286\pi\) | ||||
0.623490 | + | 0.781831i | \(0.285714\pi\) | |||||||
\(182\) | 1.21572 | + | 0.277479i | 1.21572 | + | 0.277479i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0.347948 | − | 1.52446i | 0.347948 | − | 1.52446i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −0.678448 | + | 0.326723i | −0.678448 | + | 0.326723i | ||||
\(187\) | 0.974928 | + | 1.22252i | 0.974928 | + | 1.22252i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −1.05496 | − | 0.240787i | −1.05496 | − | 0.240787i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 0 | 0 | −0.900969 | − | 0.433884i | \(-0.857143\pi\) | ||||
0.900969 | + | 0.433884i | \(0.142857\pi\) | |||||||
\(192\) | −0.193096 | − | 0.846011i | −0.193096 | − | 0.846011i | ||||
\(193\) | 0 | 0 | −0.900969 | − | 0.433884i | \(-0.857143\pi\) | ||||
0.900969 | + | 0.433884i | \(0.142857\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −0.623490 | + | 0.781831i | −0.623490 | + | 0.781831i | ||||
\(197\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(198\) | 0.240787 | − | 0.301938i | 0.240787 | − | 0.301938i | ||||
\(199\) | −0.781831 | − | 0.376510i | −0.781831 | − | 0.376510i | − | 1.00000i | \(-0.5\pi\) | |
−0.781831 | + | 0.623490i | \(0.785714\pi\) | |||||||
\(200\) | 0.222521 | + | 0.974928i | 0.222521 | + | 0.974928i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −1.12349 | + | 0.541044i | −1.12349 | + | 0.541044i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −0.781831 | − | 0.376510i | −0.781831 | − | 0.376510i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −0.240787 | + | 0.301938i | −0.240787 | + | 0.301938i | ||||
\(208\) | 0.277479 | − | 1.21572i | 0.277479 | − | 1.21572i | ||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 1.21572 | + | 1.52446i | 1.21572 | + | 1.52446i | 0.781831 | + | 0.623490i | \(0.214286\pi\) |
0.433884 | + | 0.900969i | \(0.357143\pi\) | |||||||
\(212\) | 1.62349 | − | 0.781831i | 1.62349 | − | 0.781831i | ||||
\(213\) | 0.167563 | − | 0.734141i | 0.167563 | − | 0.734141i | ||||
\(214\) | −1.94986 | −1.94986 | ||||||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −0.240787 | + | 1.05496i | −0.240787 | + | 1.05496i | ||||
\(217\) | 0.376510 | − | 0.781831i | 0.376510 | − | 0.781831i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −0.777479 | − | 0.974928i | −0.777479 | − | 0.974928i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 0 | 0 | −0.222521 | − | 0.974928i | \(-0.571429\pi\) | ||||
0.222521 | + | 0.974928i | \(0.428571\pi\) | |||||||
\(224\) | 0.781831 | + | 0.623490i | 0.781831 | + | 0.623490i | ||||
\(225\) | 0.0549581 | − | 0.240787i | 0.0549581 | − | 0.240787i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 0.867767 | 0.867767 | 0.433884 | − | 0.900969i | \(-0.357143\pi\) | ||||
0.433884 | + | 0.900969i | \(0.357143\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −0.400969 | + | 0.193096i | −0.400969 | + | 0.193096i | −0.623490 | − | 0.781831i | \(-0.714286\pi\) |
0.222521 | + | 0.974928i | \(0.428571\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | − | 1.35690i | − | 1.35690i | ||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 0 | 0 | 0.222521 | − | 0.974928i | \(-0.428571\pi\) | ||||
−0.222521 | + | 0.974928i | \(0.571429\pi\) | |||||||
\(234\) | −0.192021 | + | 0.240787i | −0.192021 | + | 0.240787i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 1.22252 | + | 0.588735i | 1.22252 | + | 0.588735i | ||||
\(238\) | 0.974928 | − | 0.222521i | 0.974928 | − | 0.222521i | ||||
\(239\) | 0 | 0 | 0.900969 | − | 0.433884i | \(-0.142857\pi\) | ||||
−0.900969 | + | 0.433884i | \(0.857143\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 0 | 0 | −0.222521 | − | 0.974928i | \(-0.571429\pi\) | ||||
0.222521 | + | 0.974928i | \(0.428571\pi\) | |||||||
\(242\) | 1.30194 | + | 0.626980i | 1.30194 | + | 0.626980i | ||||
\(243\) | 0.300257 | − | 0.376510i | 0.300257 | − | 0.376510i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | −0.781831 | − | 0.376510i | −0.781831 | − | 0.376510i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 0 | 0 | 0.900969 | − | 0.433884i | \(-0.142857\pi\) | ||||
−0.900969 | + | 0.433884i | \(0.857143\pi\) | |||||||
\(252\) | −0.107160 | − | 0.222521i | −0.107160 | − | 0.222521i | ||||
\(253\) | −2.20291 | − | 1.06086i | −2.20291 | − | 1.06086i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.623490 | − | 0.781831i | 0.623490 | − | 0.781831i | ||||
\(257\) | 0.445042 | − | 1.94986i | 0.445042 | − | 1.94986i | 0.222521 | − | 0.974928i | \(-0.428571\pi\) |
0.222521 | − | 0.974928i | \(-0.428571\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0.347948 | − | 1.52446i | 0.347948 | − | 1.52446i | ||||
\(263\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(264\) | −1.35690 | −1.35690 | ||||||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −0.347948 | − | 1.52446i | −0.347948 | − | 1.52446i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 0 | 0 | −0.623490 | − | 0.781831i | \(-0.714286\pi\) | ||||
0.623490 | + | 0.781831i | \(0.285714\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 0 | 0 | −0.222521 | − | 0.974928i | \(-0.571429\pi\) | ||||
0.222521 | + | 0.974928i | \(0.428571\pi\) | |||||||
\(272\) | −0.222521 | − | 0.974928i | −0.222521 | − | 0.974928i | ||||
\(273\) | 1.08209i | 1.08209i | ||||||||
\(274\) | 0.400969 | − | 1.75676i | 0.400969 | − | 1.75676i | ||||
\(275\) | 1.56366 | 1.56366 | ||||||||
\(276\) | 1.35690 | 1.35690 | ||||||||
\(277\) | 0 | 0 | 0.222521 | − | 0.974928i | \(-0.428571\pi\) | ||||
−0.222521 | + | 0.974928i | \(0.571429\pi\) | |||||||
\(278\) | −1.40881 | + | 0.678448i | −1.40881 | + | 0.678448i | ||||
\(279\) | 0.133627 | + | 0.167563i | 0.133627 | + | 0.167563i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 1.24698 | − | 1.56366i | 1.24698 | − | 1.56366i | 0.623490 | − | 0.781831i | \(-0.285714\pi\) |
0.623490 | − | 0.781831i | \(-0.285714\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −0.974928 | + | 1.22252i | −0.974928 | + | 1.22252i | 1.00000i | \(0.5\pi\) | ||
−0.974928 | + | 0.222521i | \(0.928571\pi\) | |||||||
\(284\) | 0.781831 | − | 0.376510i | 0.781831 | − | 0.376510i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −1.75676 | − | 0.846011i | −1.75676 | − | 0.846011i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −0.222521 | + | 0.107160i | −0.222521 | + | 0.107160i | ||||
\(289\) | −0.900969 | − | 0.433884i | −0.900969 | − | 0.433884i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 1.24698 | 1.24698 | 0.623490 | − | 0.781831i | \(-0.285714\pi\) | ||||
0.623490 | + | 0.781831i | \(0.285714\pi\) | |||||||
\(294\) | −0.781831 | − | 0.376510i | −0.781831 | − | 0.376510i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 1.52446 | + | 0.734141i | 1.52446 | + | 0.734141i | ||||
\(298\) | −0.400969 | − | 1.75676i | −0.400969 | − | 1.75676i | ||||
\(299\) | 1.75676 | + | 0.846011i | 1.75676 | + | 0.846011i | ||||
\(300\) | −0.781831 | + | 0.376510i | −0.781831 | + | 0.376510i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −0.674671 | − | 0.846011i | −0.674671 | − | 0.846011i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −0.0549581 | + | 0.240787i | −0.0549581 | + | 0.240787i | ||||
\(307\) | 0 | 0 | 0.623490 | − | 0.781831i | \(-0.285714\pi\) | ||||
−0.623490 | + | 0.781831i | \(0.714286\pi\) | |||||||
\(308\) | 1.22252 | − | 0.974928i | 1.22252 | − | 0.974928i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 0 | 0 | −0.974928 | − | 0.222521i | \(-0.928571\pi\) | ||||
0.974928 | + | 0.222521i | \(0.0714286\pi\) | |||||||
\(312\) | 1.08209 | 1.08209 | ||||||||
\(313\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(314\) | 0.277479 | − | 1.21572i | 0.277479 | − | 1.21572i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0.347948 | + | 1.52446i | 0.347948 | + | 1.52446i | ||||
\(317\) | 0 | 0 | −0.222521 | − | 0.974928i | \(-0.571429\pi\) | ||||
0.222521 | + | 0.974928i | \(0.428571\pi\) | |||||||
\(318\) | 0.974928 | + | 1.22252i | 0.974928 | + | 1.22252i | ||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −0.376510 | − | 1.64960i | −0.376510 | − | 1.64960i | ||||
\(322\) | −1.22252 | + | 0.974928i | −1.22252 | + | 0.974928i | ||||
\(323\) | 0 | 0 | ||||||||
\(324\) | −0.692021 | −0.692021 | ||||||||
\(325\) | −1.24698 | −1.24698 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 0 | 0 | 0.222521 | − | 0.974928i | \(-0.428571\pi\) | ||||
−0.222521 | + | 0.974928i | \(0.571429\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −1.21572 | − | 1.52446i | −1.21572 | − | 1.52446i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −0.376510 | + | 0.781831i | −0.376510 | + | 0.781831i | ||||
\(337\) | 0 | 0 | 0.900969 | − | 0.433884i | \(-0.142857\pi\) | ||||
−0.900969 | + | 0.433884i | \(0.857143\pi\) | |||||||
\(338\) | 0.500000 | + | 0.240787i | 0.500000 | + | 0.240787i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −0.846011 | + | 1.06086i | −0.846011 | + | 1.06086i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0.974928 | − | 0.222521i | 0.974928 | − | 0.222521i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −0.433884 | − | 1.90097i | −0.433884 | − | 1.90097i | −0.433884 | − | 0.900969i | \(-0.642857\pi\) |
− | 1.00000i | \(-0.5\pi\) | ||||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 0.400969 | − | 0.193096i | 0.400969 | − | 0.193096i | −0.222521 | − | 0.974928i | \(-0.571429\pi\) |
0.623490 | + | 0.781831i | \(0.285714\pi\) | |||||||
\(350\) | 0.433884 | − | 0.900969i | 0.433884 | − | 0.900969i | ||||
\(351\) | −1.21572 | − | 0.585458i | −1.21572 | − | 0.585458i | ||||
\(352\) | −0.974928 | − | 1.22252i | −0.974928 | − | 1.22252i | ||||
\(353\) | −1.80194 | + | 0.867767i | −1.80194 | + | 0.867767i | −0.900969 | + | 0.433884i | \(0.857143\pi\) |
−0.900969 | + | 0.433884i | \(0.857143\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 1.12349 | − | 1.40881i | 1.12349 | − | 1.40881i | ||||
\(357\) | 0.376510 | + | 0.781831i | 0.376510 | + | 0.781831i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 0 | 0 | 0.900969 | − | 0.433884i | \(-0.142857\pi\) | ||||
−0.900969 | + | 0.433884i | \(0.857143\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 1.00000 | 1.00000 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −0.279032 | + | 1.22252i | −0.279032 | + | 1.22252i | ||||
\(364\) | −0.974928 | + | 0.777479i | −0.974928 | + | 0.777479i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −1.21572 | − | 1.52446i | −1.21572 | − | 1.52446i | −0.781831 | − | 0.623490i | \(-0.785714\pi\) |
−0.433884 | − | 0.900969i | \(-0.642857\pi\) | |||||||
\(368\) | 0.974928 | + | 1.22252i | 0.974928 | + | 1.22252i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −1.75676 | − | 0.400969i | −1.75676 | − | 0.400969i | ||||
\(372\) | 0.167563 | − | 0.734141i | 0.167563 | − | 0.734141i | ||||
\(373\) | −1.24698 | −1.24698 | −0.623490 | − | 0.781831i | \(-0.714286\pi\) | ||||
−0.623490 | + | 0.781831i | \(0.714286\pi\) | |||||||
\(374\) | −1.56366 | −1.56366 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | 0.846011 | − | 0.674671i | 0.846011 | − | 0.674671i | ||||
\(379\) | 0 | 0 | −0.781831 | − | 0.623490i | \(-0.785714\pi\) | ||||
0.781831 | + | 0.623490i | \(0.214286\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 0 | 0 | −0.623490 | − | 0.781831i | \(-0.714286\pi\) | ||||
0.623490 | + | 0.781831i | \(0.285714\pi\) | |||||||
\(384\) | 0.781831 | + | 0.376510i | 0.781831 | + | 0.376510i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −0.400969 | − | 0.193096i | −0.400969 | − | 0.193096i | 0.222521 | − | 0.974928i | \(-0.428571\pi\) |
−0.623490 | + | 0.781831i | \(0.714286\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1.56366 | 1.56366 | ||||||||
\(392\) | −0.222521 | − | 0.974928i | −0.222521 | − | 0.974928i | ||||
\(393\) | 1.35690 | 1.35690 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 0.0859360 | + | 0.376510i | 0.0859360 | + | 0.376510i | ||||
\(397\) | 0 | 0 | −0.900969 | − | 0.433884i | \(-0.857143\pi\) | ||||
0.900969 | + | 0.433884i | \(0.142857\pi\) | |||||||
\(398\) | 0.781831 | − | 0.376510i | 0.781831 | − | 0.376510i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −0.900969 | − | 0.433884i | −0.900969 | − | 0.433884i | ||||
\(401\) | 0 | 0 | −0.623490 | − | 0.781831i | \(-0.714286\pi\) | ||||
0.623490 | + | 0.781831i | \(0.285714\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0.674671 | − | 0.846011i | 0.674671 | − | 0.846011i | ||||
\(404\) | 0.277479 | − | 1.21572i | 0.277479 | − | 1.21572i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | 0.781831 | − | 0.376510i | 0.781831 | − | 0.376510i | ||||
\(409\) | 0.400969 | − | 1.75676i | 0.400969 | − | 1.75676i | −0.222521 | − | 0.974928i | \(-0.571429\pi\) |
0.623490 | − | 0.781831i | \(-0.285714\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 1.56366 | 1.56366 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −0.0859360 | − | 0.376510i | −0.0859360 | − | 0.376510i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 0.777479 | + | 0.974928i | 0.777479 | + | 0.974928i | ||||
\(417\) | −0.846011 | − | 1.06086i | −0.846011 | − | 1.06086i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 0.347948 | + | 1.52446i | 0.347948 | + | 1.52446i | 0.781831 | + | 0.623490i | \(0.214286\pi\) |
−0.433884 | + | 0.900969i | \(0.642857\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −0.400969 | + | 1.75676i | −0.400969 | + | 1.75676i | 0.222521 | + | 0.974928i | \(0.428571\pi\) |
−0.623490 | + | 0.781831i | \(0.714286\pi\) | |||||||
\(422\) | −1.94986 | −1.94986 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −0.400969 | + | 1.75676i | −0.400969 | + | 1.75676i | ||||
\(425\) | −0.900969 | + | 0.433884i | −0.900969 | + | 0.433884i | ||||
\(426\) | 0.469501 | + | 0.588735i | 0.469501 | + | 0.588735i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 1.21572 | − | 1.52446i | 1.21572 | − | 1.52446i | ||||
\(429\) | 0.376510 | − | 1.64960i | 0.376510 | − | 1.64960i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 0 | 0 | −0.433884 | − | 0.900969i | \(-0.642857\pi\) | ||||
0.433884 | + | 0.900969i | \(0.357143\pi\) | |||||||
\(432\) | −0.674671 | − | 0.846011i | −0.674671 | − | 0.846011i | ||||
\(433\) | 1.12349 | + | 0.541044i | 1.12349 | + | 0.541044i | 0.900969 | − | 0.433884i | \(-0.142857\pi\) |
0.222521 | + | 0.974928i | \(0.428571\pi\) | |||||||
\(434\) | 0.376510 | + | 0.781831i | 0.376510 | + | 0.781831i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 0 | 0 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 0.974928 | − | 1.22252i | 0.974928 | − | 1.22252i | − | 1.00000i | \(-0.5\pi\) | |
0.974928 | − | 0.222521i | \(-0.0714286\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −0.0549581 | + | 0.240787i | −0.0549581 | + | 0.240787i | ||||
\(442\) | 1.24698 | 1.24698 | ||||||||
\(443\) | 0 | 0 | 0.623490 | − | 0.781831i | \(-0.285714\pi\) | ||||
−0.623490 | + | 0.781831i | \(0.714286\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 1.40881 | − | 0.678448i | 1.40881 | − | 0.678448i | ||||
\(448\) | −0.974928 | + | 0.222521i | −0.974928 | + | 0.222521i | ||||
\(449\) | 0 | 0 | −0.900969 | − | 0.433884i | \(-0.857143\pi\) | ||||
0.900969 | + | 0.433884i | \(0.142857\pi\) | |||||||
\(450\) | 0.153989 | + | 0.193096i | 0.153989 | + | 0.193096i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −0.541044 | + | 0.678448i | −0.541044 | + | 0.678448i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 1.12349 | − | 0.541044i | 1.12349 | − | 0.541044i | 0.222521 | − | 0.974928i | \(-0.428571\pi\) |
0.900969 | + | 0.433884i | \(0.142857\pi\) | |||||||
\(458\) | 0.0990311 | − | 0.433884i | 0.0990311 | − | 0.433884i | ||||
\(459\) | −1.08209 | −1.08209 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 0.400969 | − | 1.75676i | 0.400969 | − | 1.75676i | −0.222521 | − | 0.974928i | \(-0.571429\pi\) |
0.623490 | − | 0.781831i | \(-0.285714\pi\) | |||||||
\(462\) | 1.06086 | + | 0.846011i | 1.06086 | + | 0.846011i | ||||
\(463\) | 0 | 0 | −0.222521 | − | 0.974928i | \(-0.571429\pi\) | ||||
0.222521 | + | 0.974928i | \(0.428571\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 0 | 0 | −0.222521 | − | 0.974928i | \(-0.571429\pi\) | ||||
0.222521 | + | 0.974928i | \(0.428571\pi\) | |||||||
\(468\) | −0.0685317 | − | 0.300257i | −0.0685317 | − | 0.300257i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 1.08209 | 1.08209 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 0 | 0 | ||||||||
\(474\) | −1.22252 | + | 0.588735i | −1.22252 | + | 0.588735i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −0.433884 | + | 0.900969i | −0.433884 | + | 0.900969i | ||||
\(477\) | 0.277479 | − | 0.347948i | 0.277479 | − | 0.347948i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −0.974928 | + | 1.22252i | −0.974928 | + | 1.22252i | 1.00000i | \(0.5\pi\) | ||
−0.974928 | + | 0.222521i | \(0.928571\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0 | 0 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −1.06086 | − | 0.846011i | −1.06086 | − | 0.846011i | ||||
\(484\) | −1.30194 | + | 0.626980i | −1.30194 | + | 0.626980i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 0.107160 | + | 0.469501i | 0.107160 | + | 0.469501i | ||||
\(487\) | 0 | 0 | 0.433884 | − | 0.900969i | \(-0.357143\pi\) | ||||
−0.433884 | + | 0.900969i | \(0.642857\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0 | 0 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0.781831 | − | 0.376510i | 0.781831 | − | 0.376510i | ||||
\(497\) | −0.846011 | − | 0.193096i | −0.846011 | − | 0.193096i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 0.974928 | + | 1.22252i | 0.974928 | + | 1.22252i | 0.974928 | + | 0.222521i | \(0.0714286\pi\) |
1.00000i | \(0.5\pi\) | |||||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 1.05496 | − | 1.32288i | 1.05496 | − | 1.32288i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 1.21572 | − | 1.52446i | 1.21572 | − | 1.52446i | 0.433884 | − | 0.900969i | \(-0.357143\pi\) |
0.781831 | − | 0.623490i | \(-0.214286\pi\) | |||||||
\(504\) | 0.240787 | + | 0.0549581i | 0.240787 | + | 0.0549581i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 2.20291 | − | 1.06086i | 2.20291 | − | 1.06086i | ||||
\(507\) | −0.107160 | + | 0.469501i | −0.107160 | + | 0.469501i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 1.24698 | 1.24698 | 0.623490 | − | 0.781831i | \(-0.285714\pi\) | ||||
0.623490 | + | 0.781831i | \(0.285714\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 0.222521 | + | 0.974928i | 0.222521 | + | 0.974928i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 1.24698 | + | 1.56366i | 1.24698 | + | 1.56366i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 0 | 0 | 0.900969 | − | 0.433884i | \(-0.142857\pi\) | ||||
−0.900969 | + | 0.433884i | \(0.857143\pi\) | |||||||
\(524\) | 0.974928 | + | 1.22252i | 0.974928 | + | 1.22252i | ||||
\(525\) | 0.846011 | + | 0.193096i | 0.846011 | + | 0.193096i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 0.193096 | − | 0.846011i | 0.193096 | − | 0.846011i | ||||
\(528\) | 0.846011 | − | 1.06086i | 0.846011 | − | 1.06086i | ||||
\(529\) | −1.30194 | + | 0.626980i | −1.30194 | + | 0.626980i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 0 | 0 | ||||||||
\(534\) | 1.40881 | + | 0.678448i | 1.40881 | + | 0.678448i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −1.56366 | −1.56366 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 0 | 0 | 0.623490 | − | 0.781831i | \(-0.285714\pi\) | ||||
−0.623490 | + | 0.781831i | \(0.714286\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0.900969 | + | 0.433884i | 0.900969 | + | 0.433884i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −0.846011 | − | 0.674671i | −0.846011 | − | 0.674671i | ||||
\(547\) | −1.75676 | − | 0.846011i | −1.75676 | − | 0.846011i | −0.974928 | − | 0.222521i | \(-0.928571\pi\) |
−0.781831 | − | 0.623490i | \(-0.785714\pi\) | |||||||
\(548\) | 1.12349 | + | 1.40881i | 1.12349 | + | 1.40881i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −0.974928 | + | 1.22252i | −0.974928 | + | 1.22252i | ||||
\(551\) | 0 | 0 | ||||||||
\(552\) | −0.846011 | + | 1.06086i | −0.846011 | + | 1.06086i | ||||
\(553\) | 0.678448 | − | 1.40881i | 0.678448 | − | 1.40881i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0.347948 | − | 1.52446i | 0.347948 | − | 1.52446i | ||||
\(557\) | 1.80194 | 1.80194 | 0.900969 | − | 0.433884i | \(-0.142857\pi\) | ||||
0.900969 | + | 0.433884i | \(0.142857\pi\) | |||||||
\(558\) | −0.214321 | −0.214321 | ||||||||
\(559\) | 0 | 0 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −0.301938 | − | 1.32288i | −0.301938 | − | 1.32288i | ||||
\(562\) | 0.445042 | + | 1.94986i | 0.445042 | + | 1.94986i | ||||
\(563\) | 0 | 0 | −0.623490 | − | 0.781831i | \(-0.714286\pi\) | ||||
0.623490 | + | 0.781831i | \(0.285714\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −0.347948 | − | 1.52446i | −0.347948 | − | 1.52446i | ||||
\(567\) | 0.541044 | + | 0.431468i | 0.541044 | + | 0.431468i | ||||
\(568\) | −0.193096 | + | 0.846011i | −0.193096 | + | 0.846011i | ||||
\(569\) | 1.24698 | 1.24698 | 0.623490 | − | 0.781831i | \(-0.285714\pi\) | ||||
0.623490 | + | 0.781831i | \(0.285714\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 0.193096 | − | 0.846011i | 0.193096 | − | 0.846011i | −0.781831 | − | 0.623490i | \(-0.785714\pi\) |
0.974928 | − | 0.222521i | \(-0.0714286\pi\) | |||||||
\(572\) | 1.75676 | − | 0.846011i | 1.75676 | − | 0.846011i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 0.974928 | − | 1.22252i | 0.974928 | − | 1.22252i | ||||
\(576\) | 0.0549581 | − | 0.240787i | 0.0549581 | − | 0.240787i | ||||
\(577\) | 0.277479 | − | 0.347948i | 0.277479 | − | 0.347948i | −0.623490 | − | 0.781831i | \(-0.714286\pi\) |
0.900969 | + | 0.433884i | \(0.142857\pi\) | |||||||
\(578\) | 0.900969 | − | 0.433884i | 0.900969 | − | 0.433884i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 2.53859 | + | 1.22252i | 2.53859 | + | 1.22252i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −0.777479 | + | 0.974928i | −0.777479 | + | 0.974928i | ||||
\(587\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(588\) | 0.781831 | − | 0.376510i | 0.781831 | − | 0.376510i | ||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 0.400969 | + | 0.193096i | 0.400969 | + | 0.193096i | 0.623490 | − | 0.781831i | \(-0.285714\pi\) |
−0.222521 | + | 0.974928i | \(0.571429\pi\) | |||||||
\(594\) | −1.52446 | + | 0.734141i | −1.52446 | + | 0.734141i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 1.62349 | + | 0.781831i | 1.62349 | + | 0.781831i | ||||
\(597\) | 0.469501 | + | 0.588735i | 0.469501 | + | 0.588735i | ||||
\(598\) | −1.75676 | + | 0.846011i | −1.75676 | + | 0.846011i | ||||
\(599\) | 0 | 0 | 0.623490 | − | 0.781831i | \(-0.285714\pi\) | ||||
−0.623490 | + | 0.781831i | \(0.714286\pi\) | |||||||
\(600\) | 0.193096 | − | 0.846011i | 0.193096 | − | 0.846011i | ||||
\(601\) | 0 | 0 | 0.623490 | − | 0.781831i | \(-0.285714\pi\) | ||||
−0.623490 | + | 0.781831i | \(0.714286\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 1.08209 | 1.08209 | ||||||||
\(607\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 0 | 0 | ||||||||
\(612\) | −0.153989 | − | 0.193096i | −0.153989 | − | 0.193096i | ||||
\(613\) | −0.277479 | − | 0.347948i | −0.277479 | − | 0.347948i | 0.623490 | − | 0.781831i | \(-0.285714\pi\) |
−0.900969 | + | 0.433884i | \(0.857143\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 1.56366i | 1.56366i | ||||||||
\(617\) | 0 | 0 | 0.222521 | − | 0.974928i | \(-0.428571\pi\) | ||||
−0.222521 | + | 0.974928i | \(0.571429\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 1.52446 | − | 0.734141i | 1.52446 | − | 0.734141i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −1.75676 | + | 0.400969i | −1.75676 | + | 0.400969i | ||||
\(624\) | −0.674671 | + | 0.846011i | −0.674671 | + | 0.846011i | ||||
\(625\) | −0.222521 | + | 0.974928i | −0.222521 | + | 0.974928i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0.777479 | + | 0.974928i | 0.777479 | + | 0.974928i | ||||
\(629\) | 0 | 0 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 0 | 0 | 0.900969 | − | 0.433884i | \(-0.142857\pi\) | ||||
−0.900969 | + | 0.433884i | \(0.857143\pi\) | |||||||
\(632\) | −1.40881 | − | 0.678448i | −1.40881 | − | 0.678448i | ||||
\(633\) | −0.376510 | − | 1.64960i | −0.376510 | − | 1.64960i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −1.56366 | −1.56366 | ||||||||
\(637\) | 1.24698 | 1.24698 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0.133627 | − | 0.167563i | 0.133627 | − | 0.167563i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 0 | 0 | −0.222521 | − | 0.974928i | \(-0.571429\pi\) | ||||
0.222521 | + | 0.974928i | \(0.428571\pi\) | |||||||
\(642\) | 1.52446 | + | 0.734141i | 1.52446 | + | 0.734141i | ||||
\(643\) | −1.75676 | + | 0.846011i | −1.75676 | + | 0.846011i | −0.781831 | + | 0.623490i | \(0.785714\pi\) |
−0.974928 | + | 0.222521i | \(0.928571\pi\) | |||||||
\(644\) | − | 1.56366i | − | 1.56366i | ||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 0 | 0 | 0.900969 | − | 0.433884i | \(-0.142857\pi\) | ||||
−0.900969 | + | 0.433884i | \(0.857143\pi\) | |||||||
\(648\) | 0.431468 | − | 0.541044i | 0.431468 | − | 0.541044i | ||||
\(649\) | 0 | 0 | ||||||||
\(650\) | 0.777479 | − | 0.974928i | 0.777479 | − | 0.974928i | ||||
\(651\) | −0.588735 | + | 0.469501i | −0.588735 | + | 0.469501i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 0 | 0 | 0.900969 | − | 0.433884i | \(-0.142857\pi\) | ||||
−0.900969 | + | 0.433884i | \(0.857143\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 0 | 0 | −0.222521 | − | 0.974928i | \(-0.571429\pi\) | ||||
0.222521 | + | 0.974928i | \(0.428571\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −1.12349 | − | 1.40881i | −1.12349 | − | 1.40881i | −0.900969 | − | 0.433884i | \(-0.857143\pi\) |
−0.222521 | − | 0.974928i | \(-0.571429\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0.240787 | + | 1.05496i | 0.240787 | + | 1.05496i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0 | 0 | ||||||||
\(668\) | 1.94986 | 1.94986 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 0 | 0 | ||||||||
\(672\) | −0.376510 | − | 0.781831i | −0.376510 | − | 0.781831i | ||||
\(673\) | 0 | 0 | 0.623490 | − | 0.781831i | \(-0.285714\pi\) | ||||
−0.623490 | + | 0.781831i | \(0.714286\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −0.674671 | + | 0.846011i | −0.674671 | + | 0.846011i | ||||
\(676\) | −0.500000 | + | 0.240787i | −0.500000 | + | 0.240787i | ||||
\(677\) | 0 | 0 | −0.623490 | − | 0.781831i | \(-0.714286\pi\) | ||||
0.623490 | + | 0.781831i | \(0.285714\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −0.678448 | − | 0.326723i | −0.678448 | − | 0.326723i | ||||
\(682\) | −0.301938 | − | 1.32288i | −0.301938 | − | 1.32288i | ||||
\(683\) | −0.781831 | − | 0.376510i | −0.781831 | − | 0.376510i | − | 1.00000i | \(-0.5\pi\) | |
−0.781831 | + | 0.623490i | \(0.785714\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −0.433884 | + | 0.900969i | −0.433884 | + | 0.900969i | ||||
\(687\) | 0.386193 | 0.386193 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −2.02446 | − | 0.974928i | −2.02446 | − | 0.974928i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −0.781831 | − | 0.376510i | −0.781831 | − | 0.376510i | − | 1.00000i | \(-0.5\pi\) | |
−0.781831 | + | 0.623490i | \(0.785714\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0.167563 | − | 0.347948i | 0.167563 | − | 0.347948i | ||||
\(694\) | 1.75676 | + | 0.846011i | 1.75676 | + | 0.846011i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0 | 0 | ||||||||
\(698\) | −0.0990311 | + | 0.433884i | −0.0990311 | + | 0.433884i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0.433884 | + | 0.900969i | 0.433884 | + | 0.900969i | ||||
\(701\) | 1.12349 | + | 1.40881i | 1.12349 | + | 1.40881i | 0.900969 | + | 0.433884i | \(0.142857\pi\) |
0.222521 | + | 0.974928i | \(0.428571\pi\) | |||||||
\(702\) | 1.21572 | − | 0.585458i | 1.21572 | − | 0.585458i | ||||
\(703\) | 0 | 0 | ||||||||
\(704\) | 1.56366 | 1.56366 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0.445042 | − | 1.94986i | 0.445042 | − | 1.94986i | ||||
\(707\) | −0.974928 | + | 0.777479i | −0.974928 | + | 0.777479i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 0 | 0 | −0.222521 | − | 0.974928i | \(-0.571429\pi\) | ||||
0.222521 | + | 0.974928i | \(0.428571\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0.240787 | + | 0.301938i | 0.240787 | + | 0.301938i | ||||
\(712\) | 0.400969 | + | 1.75676i | 0.400969 | + | 1.75676i | ||||
\(713\) | 0.301938 | + | 1.32288i | 0.301938 | + | 1.32288i | ||||
\(714\) | −0.846011 | − | 0.193096i | −0.846011 | − | 0.193096i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −1.40881 | + | 0.678448i | −1.40881 | + | 0.678448i | −0.974928 | − | 0.222521i | \(-0.928571\pi\) |
−0.433884 | + | 0.900969i | \(0.642857\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −0.623490 | + | 0.781831i | −0.623490 | + | 0.781831i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −0.781831 | − | 0.980386i | −0.781831 | − | 0.980386i | ||||
\(727\) | 0 | 0 | −0.900969 | − | 0.433884i | \(-0.857143\pi\) | ||||
0.900969 | + | 0.433884i | \(0.142857\pi\) | |||||||
\(728\) | − | 1.24698i | − | 1.24698i | ||||||
\(729\) | −1.00000 | + | 0.481575i | −1.00000 | + | 0.481575i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 0 | 0 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 1.24698 | − | 1.56366i | 1.24698 | − | 1.56366i | 0.623490 | − | 0.781831i | \(-0.285714\pi\) |
0.623490 | − | 0.781831i | \(-0.285714\pi\) | |||||||
\(734\) | 1.94986 | 1.94986 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −1.56366 | −1.56366 | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 0 | 0 | −0.222521 | − | 0.974928i | \(-0.571429\pi\) | ||||
0.222521 | + | 0.974928i | \(0.428571\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 1.40881 | − | 1.12349i | 1.40881 | − | 1.12349i | ||||
\(743\) | 0.781831 | + | 0.376510i | 0.781831 | + | 0.376510i | 0.781831 | − | 0.623490i | \(-0.214286\pi\) |
1.00000i | \(0.5\pi\) | |||||||||
\(744\) | 0.469501 | + | 0.588735i | 0.469501 | + | 0.588735i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 0.777479 | − | 0.974928i | 0.777479 | − | 0.974928i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0.974928 | − | 1.22252i | 0.974928 | − | 1.22252i | ||||
\(749\) | −1.90097 | + | 0.433884i | −1.90097 | + | 0.433884i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −1.40881 | + | 0.678448i | −1.40881 | + | 0.678448i | −0.974928 | − | 0.222521i | \(-0.928571\pi\) |
−0.433884 | + | 0.900969i | \(0.642857\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 1.08209i | 1.08209i | ||||||||
\(757\) | 0.445042 | + | 1.94986i | 0.445042 | + | 1.94986i | 0.222521 | + | 0.974928i | \(0.428571\pi\) |
0.222521 | + | 0.974928i | \(0.428571\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 1.32288 | + | 1.65883i | 1.32288 | + | 1.65883i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −0.0990311 | − | 0.433884i | −0.0990311 | − | 0.433884i | 0.900969 | − | 0.433884i | \(-0.142857\pi\) |
−1.00000 | \(\pi\) | |||||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | −0.781831 | + | 0.376510i | −0.781831 | + | 0.376510i | ||||
\(769\) | −1.24698 | − | 1.56366i | −1.24698 | − | 1.56366i | −0.623490 | − | 0.781831i | \(-0.714286\pi\) |
−0.623490 | − | 0.781831i | \(-0.714286\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −1.08209 | + | 1.35690i | −1.08209 | + | 1.35690i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 0.277479 | − | 0.347948i | 0.277479 | − | 0.347948i | −0.623490 | − | 0.781831i | \(-0.714286\pi\) |
0.900969 | + | 0.433884i | \(0.142857\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −0.541044 | − | 0.678448i | −0.541044 | − | 0.678448i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0.400969 | − | 0.193096i | 0.400969 | − | 0.193096i | ||||
\(779\) | 0 | 0 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 1.22252 | + | 0.588735i | 1.22252 | + | 0.588735i | ||||
\(782\) | −0.974928 | + | 1.22252i | −0.974928 | + | 1.22252i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0.900969 | + | 0.433884i | 0.900969 | + | 0.433884i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −0.846011 | + | 1.06086i | −0.846011 | + | 1.06086i | ||||
\(787\) | −1.75676 | − | 0.846011i | −1.75676 | − | 0.846011i | −0.974928 | − | 0.222521i | \(-0.928571\pi\) |
−0.781831 | − | 0.623490i | \(-0.785714\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0 | 0 |