Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [2880,3,Mod(449,2880)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(2880, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 0, 1, 1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("2880.449");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 2880 = 2^{6} \cdot 3^{2} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 2880.c (of order \(2\), degree \(1\), not 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: | \(78.4743161358\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Coefficient field: | \(\Q(\zeta_{8})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 90) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 449.4 | ||
Root | \(-0.707107 + 0.707107i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 2880.449 |
Dual form | 2880.3.c.h.449.3 |
$q$-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 \(\left(\mathbb{Z}/2880\mathbb{Z}\right)^\times\).
\(n\) | \(577\) | \(641\) | \(901\) | \(2431\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(1\) | \(1\) |
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 | 0 | ||||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 3.53553 | + | 3.53553i | 0.707107 | + | 0.707107i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | − | 4.00000i | − | 0.571429i | −0.958315 | − | 0.285714i | \(-0.907769\pi\) | ||
0.958315 | − | 0.285714i | \(-0.0922308\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 11.3137i | 1.02852i | 0.857635 | + | 0.514259i | \(0.171933\pi\) | ||||
−0.857635 | + | 0.514259i | \(0.828067\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 18.0000i | 1.38462i | 0.721602 | + | 0.692308i | \(0.243406\pi\) | ||||
−0.721602 | + | 0.692308i | \(0.756594\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −1.41421 | −0.0831890 | −0.0415945 | − | 0.999135i | \(-0.513244\pi\) | ||||
−0.0415945 | + | 0.999135i | \(0.513244\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 24.0000 | 1.26316 | 0.631579 | − | 0.775312i | \(-0.282407\pi\) | ||||
0.631579 | + | 0.775312i | \(0.282407\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 39.5980 | 1.72165 | 0.860826 | − | 0.508900i | \(-0.169948\pi\) | ||||
0.860826 | + | 0.508900i | \(0.169948\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 25.0000i | 1.00000i | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | − | 38.1838i | − | 1.31668i | −0.752720 | − | 0.658341i | \(-0.771259\pi\) | ||
0.752720 | − | 0.658341i | \(-0.228741\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 4.00000 | 0.129032 | 0.0645161 | − | 0.997917i | \(-0.479450\pi\) | ||||
0.0645161 | + | 0.997917i | \(0.479450\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 14.1421 | − | 14.1421i | 0.404061 | − | 0.404061i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | − | 56.0000i | − | 1.51351i | −0.653697 | − | 0.756757i | \(-0.726783\pi\) | ||
0.653697 | − | 0.756757i | \(-0.273217\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | − | 24.0416i | − | 0.586381i | −0.956054 | − | 0.293191i | \(-0.905283\pi\) | ||
0.956054 | − | 0.293191i | \(-0.0947171\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 80.0000i | 1.86047i | 0.366971 | + | 0.930233i | \(0.380395\pi\) | ||||
−0.366971 | + | 0.930233i | \(0.619605\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −28.2843 | −0.601793 | −0.300897 | − | 0.953657i | \(-0.597286\pi\) | ||||
−0.300897 | + | 0.953657i | \(0.597286\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 33.0000 | 0.673469 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 4.24264 | 0.0800498 | 0.0400249 | − | 0.999199i | \(-0.487256\pi\) | ||||
0.0400249 | + | 0.999199i | \(0.487256\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −40.0000 | + | 40.0000i | −0.727273 | + | 0.727273i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 62.2254i | 1.05467i | 0.849658 | + | 0.527334i | \(0.176808\pi\) | ||||
−0.849658 | + | 0.527334i | \(0.823192\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −110.000 | −1.80328 | −0.901639 | − | 0.432489i | \(-0.857636\pi\) | ||||
−0.901639 | + | 0.432489i | \(0.857636\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −63.6396 | + | 63.6396i | −0.979071 | + | 0.979071i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 32.0000i | 0.477612i | 0.971067 | + | 0.238806i | \(0.0767560\pi\) | ||||
−0.971067 | + | 0.238806i | \(0.923244\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | − | 50.9117i | − | 0.717066i | −0.933517 | − | 0.358533i | \(-0.883277\pi\) | ||
0.933517 | − | 0.358533i | \(-0.116723\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 46.0000i | 0.630137i | 0.949069 | + | 0.315068i | \(0.102027\pi\) | ||||
−0.949069 | + | 0.315068i | \(0.897973\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 45.2548 | 0.587725 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 36.0000 | 0.455696 | 0.227848 | − | 0.973697i | \(-0.426831\pi\) | ||||
0.227848 | + | 0.973697i | \(0.426831\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −5.65685 | −0.0681549 | −0.0340774 | − | 0.999419i | \(-0.510849\pi\) | ||||
−0.0340774 | + | 0.999419i | \(0.510849\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −5.00000 | − | 5.00000i | −0.0588235 | − | 0.0588235i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 57.9828i | 0.651492i | 0.945457 | + | 0.325746i | \(0.105615\pi\) | ||||
−0.945457 | + | 0.325746i | \(0.894385\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 72.0000 | 0.791209 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 84.8528 | + | 84.8528i | 0.893188 | + | 0.893188i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | − | 14.0000i | − | 0.144330i | −0.997393 | − | 0.0721649i | \(-0.977009\pi\) | ||
0.997393 | − | 0.0721649i | \(-0.0229908\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 26.8701i | 0.266040i | 0.991113 | + | 0.133020i | \(0.0424675\pi\) | ||||
−0.991113 | + | 0.133020i | \(0.957533\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 68.0000i | 0.660194i | 0.943947 | + | 0.330097i | \(0.107081\pi\) | ||||
−0.943947 | + | 0.330097i | \(0.892919\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −169.706 | −1.58603 | −0.793017 | − | 0.609200i | \(-0.791491\pi\) | ||||
−0.793017 | + | 0.609200i | \(0.791491\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 136.000 | 1.24771 | 0.623853 | − | 0.781542i | \(-0.285566\pi\) | ||||
0.623853 | + | 0.781542i | \(0.285566\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 12.7279 | 0.112636 | 0.0563182 | − | 0.998413i | \(-0.482064\pi\) | ||||
0.0563182 | + | 0.998413i | \(0.482064\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 140.000 | + | 140.000i | 1.21739 | + | 1.21739i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 5.65685i | 0.0475366i | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −7.00000 | −0.0578512 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −88.3883 | + | 88.3883i | −0.707107 | + | 0.707107i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | − | 28.0000i | − | 0.220472i | −0.993905 | − | 0.110236i | \(-0.964839\pi\) | ||
0.993905 | − | 0.110236i | \(-0.0351607\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 84.8528i | 0.647731i | 0.946103 | + | 0.323866i | \(0.104983\pi\) | ||||
−0.946103 | + | 0.323866i | \(0.895017\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | − | 96.0000i | − | 0.721805i | ||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 12.7279 | 0.0929045 | 0.0464523 | − | 0.998921i | \(-0.485208\pi\) | ||||
0.0464523 | + | 0.998921i | \(0.485208\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −8.00000 | −0.0575540 | −0.0287770 | − | 0.999586i | \(-0.509161\pi\) | ||||
−0.0287770 | + | 0.999586i | \(0.509161\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −203.647 | −1.42410 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 135.000 | − | 135.000i | 0.931034 | − | 0.931034i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | − | 120.208i | − | 0.806766i | −0.915031 | − | 0.403383i | \(-0.867834\pi\) | ||
0.915031 | − | 0.403383i | \(-0.132166\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 172.000 | 1.13907 | 0.569536 | − | 0.821966i | \(-0.307123\pi\) | ||||
0.569536 | + | 0.821966i | \(0.307123\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 14.1421 | + | 14.1421i | 0.0912396 | + | 0.0912396i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 152.000i | 0.968153i | 0.875026 | + | 0.484076i | \(0.160844\pi\) | ||||
−0.875026 | + | 0.484076i | \(0.839156\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | − | 158.392i | − | 0.983801i | ||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | − | 104.000i | − | 0.638037i | −0.947749 | − | 0.319018i | \(-0.896647\pi\) | ||
0.947749 | − | 0.319018i | \(-0.103353\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −203.647 | −1.21944 | −0.609721 | − | 0.792616i | \(-0.708718\pi\) | ||||
−0.609721 | + | 0.792616i | \(0.708718\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −155.000 | −0.917160 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 230.517 | 1.33247 | 0.666234 | − | 0.745743i | \(-0.267905\pi\) | ||||
0.666234 | + | 0.745743i | \(0.267905\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 100.000 | 0.571429 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 164.049i | 0.916474i | 0.888830 | + | 0.458237i | \(0.151519\pi\) | ||||
−0.888830 | + | 0.458237i | \(0.848481\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −8.00000 | −0.0441989 | −0.0220994 | − | 0.999756i | \(-0.507035\pi\) | ||||
−0.0220994 | + | 0.999756i | \(0.507035\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 197.990 | − | 197.990i | 1.07022 | − | 1.07022i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | − | 16.0000i | − | 0.0855615i | ||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 305.470i | 1.59932i | 0.600453 | + | 0.799660i | \(0.294987\pi\) | ||||
−0.600453 | + | 0.799660i | \(0.705013\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 64.0000i | 0.331606i | 0.986159 | + | 0.165803i | \(0.0530216\pi\) | ||||
−0.986159 | + | 0.165803i | \(0.946978\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −230.517 | −1.17014 | −0.585068 | − | 0.810984i | \(-0.698932\pi\) | ||||
−0.585068 | + | 0.810984i | \(0.698932\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 300.000 | 1.50754 | 0.753769 | − | 0.657140i | \(-0.228234\pi\) | ||||
0.753769 | + | 0.657140i | \(0.228234\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −152.735 | −0.752389 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 85.0000 | − | 85.0000i | 0.414634 | − | 0.414634i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 271.529i | 1.29918i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 264.000 | 1.25118 | 0.625592 | − | 0.780150i | \(-0.284857\pi\) | ||||
0.625592 | + | 0.780150i | \(0.284857\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −282.843 | + | 282.843i | −1.31555 | + | 1.31555i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | − | 16.0000i | − | 0.0737327i | ||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | − | 25.4558i | − | 0.115185i | ||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 316.000i | 1.41704i | 0.705691 | + | 0.708520i | \(0.250637\pi\) | ||||
−0.705691 | + | 0.708520i | \(0.749363\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −96.1665 | −0.423641 | −0.211821 | − | 0.977309i | \(-0.567939\pi\) | ||||
−0.211821 | + | 0.977309i | \(0.567939\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 8.00000 | 0.0349345 | 0.0174672 | − | 0.999847i | \(-0.494440\pi\) | ||||
0.0174672 | + | 0.999847i | \(0.494440\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 227.688 | 0.977203 | 0.488602 | − | 0.872507i | \(-0.337507\pi\) | ||||
0.488602 | + | 0.872507i | \(0.337507\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −100.000 | − | 100.000i | −0.425532 | − | 0.425532i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | − | 192.333i | − | 0.804741i | −0.915477 | − | 0.402370i | \(-0.868186\pi\) | ||
0.915477 | − | 0.402370i | \(-0.131814\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −128.000 | −0.531120 | −0.265560 | − | 0.964094i | \(-0.585557\pi\) | ||||
−0.265560 | + | 0.964094i | \(0.585557\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 116.673 | + | 116.673i | 0.476215 | + | 0.476215i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 432.000i | 1.74899i | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | − | 475.176i | − | 1.89313i | −0.322512 | − | 0.946565i | \(-0.604527\pi\) | ||
0.322512 | − | 0.946565i | \(-0.395473\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 448.000i | 1.77075i | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −326.683 | −1.27114 | −0.635571 | − | 0.772043i | \(-0.719235\pi\) | ||||
−0.635571 | + | 0.772043i | \(0.719235\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −224.000 | −0.864865 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −79.1960 | −0.301125 | −0.150563 | − | 0.988600i | \(-0.548109\pi\) | ||||
−0.150563 | + | 0.988600i | \(0.548109\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 15.0000 | + | 15.0000i | 0.0566038 | + | 0.0566038i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 165.463i | 0.615104i | 0.951531 | + | 0.307552i | \(0.0995098\pi\) | ||||
−0.951531 | + | 0.307552i | \(0.900490\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 220.000 | 0.811808 | 0.405904 | − | 0.913916i | \(-0.366957\pi\) | ||||
0.405904 | + | 0.913916i | \(0.366957\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −282.843 | −1.02852 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | − | 2.00000i | − | 0.00722022i | −0.999993 | − | 0.00361011i | \(-0.998851\pi\) | ||
0.999993 | − | 0.00361011i | \(-0.00114914\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | − | 12.7279i | − | 0.0452951i | −0.999744 | − | 0.0226475i | \(-0.992790\pi\) | ||
0.999744 | − | 0.0226475i | \(-0.00720955\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 472.000i | 1.66784i | 0.551882 | + | 0.833922i | \(0.313910\pi\) | ||||
−0.551882 | + | 0.833922i | \(0.686090\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −96.1665 | −0.335075 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −287.000 | −0.993080 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −411.536 | −1.40456 | −0.702280 | − | 0.711901i | \(-0.747835\pi\) | ||||
−0.702280 | + | 0.711901i | \(0.747835\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −220.000 | + | 220.000i | −0.745763 | + | 0.745763i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 712.764i | 2.38382i | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 320.000 | 1.06312 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −388.909 | − | 388.909i | −1.27511 | − | 1.27511i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 360.000i | 1.17264i | 0.810080 | + | 0.586319i | \(0.199424\pi\) | ||||
−0.810080 | + | 0.586319i | \(0.800576\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | − | 33.9411i | − | 0.109135i | −0.998510 | − | 0.0545677i | \(-0.982622\pi\) | ||
0.998510 | − | 0.0545677i | \(-0.0173781\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | − | 416.000i | − | 1.32907i | −0.747256 | − | 0.664537i | \(-0.768629\pi\) | ||
0.747256 | − | 0.664537i | \(-0.231371\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −74.9533 | −0.236446 | −0.118223 | − | 0.992987i | \(-0.537720\pi\) | ||||
−0.118223 | + | 0.992987i | \(0.537720\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 432.000 | 1.35423 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −33.9411 | −0.105081 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −450.000 | −1.38462 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 113.137i | 0.343882i | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 464.000 | 1.40181 | 0.700906 | − | 0.713253i | \(-0.252779\pi\) | ||||
0.700906 | + | 0.713253i | \(0.252779\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −113.137 | + | 113.137i | −0.337723 | + | 0.337723i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 62.0000i | 0.183976i | 0.995760 | + | 0.0919881i | \(0.0293222\pi\) | ||||
−0.995760 | + | 0.0919881i | \(0.970678\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 45.2548i | 0.132712i | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | − | 328.000i | − | 0.956268i | ||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 458.205 | 1.32048 | 0.660238 | − | 0.751056i | \(-0.270455\pi\) | ||||
0.660238 | + | 0.751056i | \(0.270455\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 142.000 | 0.406877 | 0.203438 | − | 0.979088i | \(-0.434788\pi\) | ||||
0.203438 | + | 0.979088i | \(0.434788\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 100.409 | 0.284445 | 0.142223 | − | 0.989835i | \(-0.454575\pi\) | ||||
0.142223 | + | 0.989835i | \(0.454575\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 180.000 | − | 180.000i | 0.507042 | − | 0.507042i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 390.323i | 1.08725i | 0.839328 | + | 0.543625i | \(0.182949\pi\) | ||||
−0.839328 | + | 0.543625i | \(0.817051\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 215.000 | 0.595568 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −162.635 | + | 162.635i | −0.445574 | + | 0.445574i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 284.000i | 0.773842i | 0.922113 | + | 0.386921i | \(0.126461\pi\) | ||||
−0.922113 | + | 0.386921i | \(0.873539\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | − | 16.9706i | − | 0.0457428i | ||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | − | 360.000i | − | 0.965147i | −0.875855 | − | 0.482574i | \(-0.839702\pi\) | ||
0.875855 | − | 0.482574i | \(-0.160298\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 687.308 | 1.82310 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 320.000 | 0.844327 | 0.422164 | − | 0.906520i | \(-0.361271\pi\) | ||||
0.422164 | + | 0.906520i | \(0.361271\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 181.019 | 0.472635 | 0.236318 | − | 0.971676i | \(-0.424059\pi\) | ||||
0.236318 | + | 0.971676i | \(0.424059\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 160.000 | + | 160.000i | 0.415584 | + | 0.415584i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | − | 685.894i | − | 1.76322i | −0.471976 | − | 0.881611i | \(-0.656459\pi\) | ||
0.471976 | − | 0.881611i | \(-0.343541\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −56.0000 | −0.143223 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 127.279 | + | 127.279i | 0.322226 | + | 0.322226i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | − | 296.000i | − | 0.745592i | −0.927913 | − | 0.372796i | \(-0.878399\pi\) | ||
0.927913 | − | 0.372796i | \(-0.121601\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 439.820i | 1.09681i | 0.836213 | + | 0.548405i | \(0.184765\pi\) | ||||
−0.836213 | + | 0.548405i | \(0.815235\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 72.0000i | 0.178660i | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 633.568 | 1.55668 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −368.000 | −0.899756 | −0.449878 | − | 0.893090i | \(-0.648532\pi\) | ||||
−0.449878 | + | 0.893090i | \(0.648532\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 248.902 | 0.602667 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −20.0000 | − | 20.0000i | −0.0481928 | − | 0.0481928i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 192.333i | 0.459029i | 0.973305 | + | 0.229514i | \(0.0737138\pi\) | ||||
−0.973305 | + | 0.229514i | \(0.926286\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −280.000 | −0.665083 | −0.332542 | − | 0.943089i | \(-0.607906\pi\) | ||||
−0.332542 | + | 0.943089i | \(0.607906\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | − | 35.3553i | − | 0.0831890i | ||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 440.000i | 1.03044i | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | − | 96.1665i | − | 0.223124i | −0.993757 | − | 0.111562i | \(-0.964415\pi\) | ||
0.993757 | − | 0.111562i | \(-0.0355854\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 688.000i | 1.58891i | 0.607320 | + | 0.794457i | \(0.292245\pi\) | ||||
−0.607320 | + | 0.794457i | \(0.707755\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 950.352 | 2.17472 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 324.000 | 0.738041 | 0.369021 | − | 0.929421i | \(-0.379693\pi\) | ||||
0.369021 | + | 0.929421i | \(0.379693\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −322.441 | −0.727857 | −0.363929 | − | 0.931427i | \(-0.618565\pi\) | ||||
−0.363929 | + | 0.931427i | \(0.618565\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −205.000 | + | 205.000i | −0.460674 | + | 0.460674i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 123.037i | 0.274024i | 0.990569 | + | 0.137012i | \(0.0437498\pi\) | ||||
−0.990569 | + | 0.137012i | \(0.956250\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 272.000 | 0.603104 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 254.558 | + | 254.558i | 0.559469 | + | 0.559469i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | − | 130.000i | − | 0.284464i | −0.989833 | − | 0.142232i | \(-0.954572\pi\) | ||
0.989833 | − | 0.142232i | \(-0.0454279\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 470.933i | 1.02155i | 0.859715 | + | 0.510773i | \(0.170641\pi\) | ||||
−0.859715 | + | 0.510773i | \(0.829359\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 444.000i | 0.958963i | 0.877552 | + | 0.479482i | \(0.159175\pi\) | ||||
−0.877552 | + | 0.479482i | \(0.840825\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 186.676 | 0.399735 | 0.199867 | − | 0.979823i | \(-0.435949\pi\) | ||||
0.199867 | + | 0.979823i | \(0.435949\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 128.000 | 0.272921 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −905.097 | −1.91352 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 600.000i | 1.26316i | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | − | 582.656i | − | 1.21640i | −0.793784 | − | 0.608200i | \(-0.791892\pi\) | ||
0.793784 | − | 0.608200i | \(-0.208108\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 1008.00 | 2.09563 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 49.4975 | − | 49.4975i | 0.102057 | − | 0.102057i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | − | 84.0000i | − | 0.172485i | −0.996274 | − | 0.0862423i | \(-0.972514\pi\) | ||
0.996274 | − | 0.0862423i | \(-0.0274859\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | − | 322.441i | − | 0.656702i | −0.944556 | − | 0.328351i | \(-0.893507\pi\) | ||
0.944556 | − | 0.328351i | \(-0.106493\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 54.0000i | 0.109533i | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −203.647 | −0.409752 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −456.000 | −0.913828 | −0.456914 | − | 0.889511i | \(-0.651045\pi\) | ||||
−0.456914 | + | 0.889511i | \(0.651045\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −492.146 | −0.978422 | −0.489211 | − | 0.872165i | \(-0.662715\pi\) | ||||
−0.489211 | + | 0.872165i | \(0.662715\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −95.0000 | + | 95.0000i | −0.188119 | + | 0.188119i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | − | 581.242i | − | 1.14193i | −0.820975 | − | 0.570964i | \(-0.806569\pi\) | ||
0.820975 | − | 0.570964i | \(-0.193431\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 184.000 | 0.360078 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −240.416 | + | 240.416i | −0.466828 | + | 0.466828i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | − | 320.000i | − | 0.618956i | ||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | − | 408.708i | − | 0.784468i | −0.919866 | − | 0.392234i | \(-0.871702\pi\) | ||
0.919866 | − | 0.392234i | \(-0.128298\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | − | 656.000i | − | 1.25430i | −0.778898 | − | 0.627151i | \(-0.784221\pi\) | ||
0.778898 | − | 0.627151i | \(-0.215779\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −5.65685 | −0.0107341 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 1039.00 | 1.96408 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 432.749 | 0.811912 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −600.000 | − | 600.000i | −1.12150 | − | 1.12150i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 373.352i | 0.692676i | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 248.000 | 0.458410 | 0.229205 | − | 0.973378i | \(-0.426387\pi\) | ||||
0.229205 | + | 0.973378i | \(0.426387\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 480.833 | + | 480.833i | 0.882262 | + | 0.882262i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 304.000i | 0.555759i | 0.960616 | + | 0.277879i | \(0.0896315\pi\) | ||||
−0.960616 | + | 0.277879i | \(0.910368\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | − | 916.410i | − | 1.66318i | ||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | − | 144.000i | − | 0.260398i | ||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −886.712 | −1.59194 | −0.795971 | − | 0.605335i | \(-0.793039\pi\) | ||||
−0.795971 | + | 0.605335i | \(0.793039\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −1440.00 | −2.57603 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 39.5980 | 0.0703339 | 0.0351669 | − | 0.999381i | \(-0.488804\pi\) | ||||
0.0351669 | + | 0.999381i | \(0.488804\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 45.0000 | + | 45.0000i | 0.0796460 | + | 0.0796460i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | − | 43.8406i | − | 0.0770485i | −0.999258 | − | 0.0385243i | \(-0.987734\pi\) | ||
0.999258 | − | 0.0385243i | \(-0.0122657\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 392.000 | 0.686515 | 0.343257 | − | 0.939241i | \(-0.388470\pi\) | ||||
0.343257 | + | 0.939241i | \(0.388470\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 989.949i | 1.72165i | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | − | 112.000i | − | 0.194107i | −0.995279 | − | 0.0970537i | \(-0.969058\pi\) | ||
0.995279 | − | 0.0970537i | \(-0.0309419\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 22.6274i | 0.0389456i | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 48.0000i | 0.0823328i | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −1154.00 | −1.96593 | −0.982963 | − | 0.183805i | \(-0.941159\pi\) | ||||
−0.982963 | + | 0.183805i | \(0.941159\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 96.0000 | 0.162988 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 258.801 | 0.436427 | 0.218213 | − | 0.975901i | \(-0.429977\pi\) | ||||
0.218213 | + | 0.975901i | \(0.429977\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −20.0000 | + | 20.0000i | −0.0336134 | + | 0.0336134i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | − | 288.500i | − | 0.481635i | −0.970570 | − | 0.240818i | \(-0.922584\pi\) | ||
0.970570 | − | 0.240818i | \(-0.0774156\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −862.000 | −1.43428 | −0.717138 | − | 0.696931i | \(-0.754548\pi\) | ||||
−0.717138 | + | 0.696931i | \(0.754548\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −24.7487 | − | 24.7487i | −0.0409070 | − | 0.0409070i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | − | 788.000i | − | 1.29819i | −0.760708 | − | 0.649094i | \(-0.775148\pi\) | ||
0.760708 | − | 0.649094i | \(-0.224852\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | − | 509.117i | − | 0.833252i | ||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | − | 952.000i | − | 1.55302i | −0.630106 | − | 0.776509i | \(-0.716989\pi\) | ||
0.630106 | − | 0.776509i | \(-0.283011\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −383.252 | −0.621154 | −0.310577 | − | 0.950548i | \(-0.600522\pi\) | ||||
−0.310577 | + | 0.950548i | \(0.600522\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −304.000 | −0.491115 | −0.245557 | − | 0.969382i | \(-0.578971\pi\) | ||||
−0.245557 | + | 0.969382i | \(0.578971\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 231.931 | 0.372281 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −625.000 | −1.00000 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 79.1960i | 0.125908i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 860.000 | 1.36292 | 0.681458 | − | 0.731857i | \(-0.261346\pi\) | ||||
0.681458 | + | 0.731857i | \(0.261346\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 98.9949 | − | 98.9949i | 0.155898 | − | 0.155898i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 594.000i | 0.932496i | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 442.649i | 0.690560i | 0.938500 | + | 0.345280i | \(0.112216\pi\) | ||||
−0.938500 | + | 0.345280i | \(0.887784\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 648.000i | 1.00778i | 0.863769 | + | 0.503888i | \(0.168098\pi\) | ||||
−0.863769 | + | 0.503888i | \(0.831902\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −390.323 | −0.603281 | −0.301641 | − | 0.953422i | \(-0.597534\pi\) | ||||
−0.301641 | + | 0.953422i | \(0.597534\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −704.000 | −1.08475 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −909.339 | −1.39256 | −0.696278 | − | 0.717772i | \(-0.745162\pi\) | ||||
−0.696278 | + | 0.717772i | \(0.745162\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −300.000 | + | 300.000i | −0.458015 | + | 0.458015i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | − | 345.068i | − | 0.523624i | −0.965119 | − | 0.261812i | \(-0.915680\pi\) | ||
0.965119 | − | 0.261812i | \(-0.0843200\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −962.000 | −1.45537 | −0.727685 | − | 0.685911i | \(-0.759404\pi\) | ||||
−0.727685 | + | 0.685911i | \(0.759404\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 339.411 | − | 339.411i | 0.510393 | − | 0.510393i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | − | 1512.00i | − | 2.26687i | ||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | − | 1244.51i | − | 1.85471i | ||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 240.000i | 0.356612i | 0.983975 | + | 0.178306i | \(0.0570617\pi\) | ||||
−0.983975 | + | 0.178306i | \(0.942938\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 332.340 | 0.490901 | 0.245451 | − | 0.969409i | \(-0.421064\pi\) | ||||
0.245451 | + | 0.969409i | \(0.421064\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −56.0000 | −0.0824742 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 1012.58 | 1.48254 | 0.741272 | − | 0.671205i | \(-0.234223\pi\) | ||||
0.741272 | + | 0.671205i | \(0.234223\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 45.0000 | + | 45.0000i | 0.0656934 | + | 0.0656934i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 76.3675i | 0.110838i | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 80.0000 | 0.115774 | 0.0578871 | − | 0.998323i | \(-0.481564\pi\) | ||||
0.0578871 | + | 0.998323i | \(0.481564\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −28.2843 | − | 28.2843i | −0.0406968 | − | 0.0406968i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 34.0000i | 0.0487805i | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 558.614i | 0.796882i | 0.917194 | + | 0.398441i | \(0.130449\pi\) | ||||
−0.917194 | + | 0.398441i | \(0.869551\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 1344.00i | − | 1.91181i | ||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 107.480 | 0.152023 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −312.000 | −0.440056 | −0.220028 | − | 0.975494i | \(-0.570615\pi\) | ||||
−0.220028 | + | 0.975494i | \(0.570615\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 158.392 | 0.222149 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −720.000 | − | 720.000i | −1.00699 | − | 1.00699i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 1148.34i | 1.59714i | 0.601904 | + | 0.798568i | \(0.294409\pi\) | ||||
−0.601904 | + | 0.798568i | \(0.705591\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 272.000 | 0.377254 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 954.594 | 1.31668 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | − | 468.000i | − | 0.643741i | −0.946784 | − | 0.321871i | \(-0.895688\pi\) | ||
0.946784 | − | 0.321871i | \(-0.104312\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | − | 113.137i | − | 0.154770i | ||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 526.000i | 0.717599i | 0.933415 | + | 0.358799i | \(0.116814\pi\) | ||||
−0.933415 | + | 0.358799i | \(0.883186\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −362.039 | −0.491233 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −344.000 | −0.465494 | −0.232747 | − | 0.972537i | \(-0.574771\pi\) | ||||
−0.232747 | + | 0.972537i | \(0.574771\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 678.823 | 0.913624 | 0.456812 | − | 0.889563i | \(-0.348991\pi\) | ||||
0.456812 | + | 0.889563i | \(0.348991\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 425.000 | − | 425.000i | 0.570470 | − | 0.570470i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 678.823i | 0.906305i | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 308.000 | 0.410120 | 0.205060 | − | 0.978749i | \(-0.434261\pi\) | ||||
0.205060 | + | 0.978749i | \(0.434261\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 608.112 | + | 608.112i | 0.805446 | + | 0.805446i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 610.000i | 0.805812i | 0.915241 | + | 0.402906i | \(0.132000\pi\) | ||||
−0.915241 | + | 0.402906i | \(0.868000\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | − | 1175.21i | − | 1.54430i | −0.635441 | − | 0.772149i | \(-0.719182\pi\) | ||
0.635441 | − | 0.772149i | \(-0.280818\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | − | 544.000i | − | 0.712975i | ||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −1120.06 | −1.46031 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −270.000 | −0.351105 | −0.175553 | − | 0.984470i | \(-0.556171\pi\) | ||||
−0.175553 | + | 0.984470i | \(0.556171\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −267.286 | −0.345778 | −0.172889 | − | 0.984941i | \(-0.555310\pi\) | ||||
−0.172889 | + | 0.984941i | \(0.555310\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 100.000i | 0.129032i | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | − | 576.999i | − | 0.740692i | ||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 576.000 | 0.737516 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −537.401 | + | 537.401i | −0.684587 | + | 0.684587i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | − | 1520.00i | − | 1.93139i | −0.259688 | − | 0.965693i | \(-0.583620\pi\) | ||
0.259688 | − | 0.965693i | \(-0.416380\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | − | 50.9117i | − | 0.0643637i | ||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | − | 1980.00i | − | 2.49685i | ||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −388.909 | −0.487966 | −0.243983 | − | 0.969780i | \(-0.578454\pi\) | ||||
−0.243983 | + | 0.969780i | \(0.578454\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 40.0000 | 0.0500626 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −520.431 | −0.648108 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 560.000 | − | 560.000i | 0.695652 | − | 0.695652i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 46.6690i | 0.0576873i | 0.999584 | + | 0.0288437i | \(0.00918250\pi\) | ||||
−0.999584 | + | 0.0288437i | \(0.990818\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −1120.00 | −1.38101 | −0.690506 | − | 0.723327i | \(-0.742612\pi\) | ||||
−0.690506 | + | 0.723327i | \(0.742612\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 367.696 | − | 367.696i | 0.451160 | − | 0.451160i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 1920.00i | 2.35006i | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | − | 1271.38i | − | 1.54857i | −0.632836 | − | 0.774286i | \(-0.718109\pi\) | ||
0.632836 | − | 0.774286i | \(-0.281891\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 828.000i | 1.00608i | 0.864264 | + | 0.503038i | \(0.167784\pi\) | ||||
−0.864264 | + | 0.503038i | \(0.832216\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 158.392 | 0.191526 | 0.0957629 | − | 0.995404i | \(-0.469471\pi\) | ||||
0.0957629 | + | 0.995404i | \(0.469471\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 552.000 | 0.665862 | 0.332931 | − | 0.942951i | \(-0.391962\pi\) | ||||
0.332931 | + | 0.942951i | \(0.391962\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −46.6690 | −0.0560253 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −720.000 | − | 720.000i | −0.862275 | − | 0.862275i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 854.185i | 1.01810i | 0.860737 | + | 0.509049i | \(0.170003\pi\) | ||||
−0.860737 | + | 0.509049i | \(0.829997\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −617.000 | −0.733650 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −548.008 | − | 548.008i | −0.648530 | − | 0.648530i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 28.0000i | 0.0330579i | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | − | 2217.49i | − | 2.60574i | ||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 856.000i | 1.00352i | 0.865008 | + | 0.501758i | \(0.167313\pi\) | ||||
−0.865008 | + | 0.501758i | \(0.832687\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 555.786 | 0.648525 | 0.324263 | − | 0.945967i | \(-0.394884\pi\) | ||||
0.324263 | + | 0.945967i | \(0.394884\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −472.000 | −0.549476 | −0.274738 | − | 0.961519i | \(-0.588591\pi\) | ||||
−0.274738 | + | 0.961519i | \(0.588591\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 441.235 | 0.511280 | 0.255640 | − | 0.966772i | \(-0.417714\pi\) | ||||
0.255640 | + | 0.966772i | \(0.417714\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 815.000 | + | 815.000i | 0.942197 | + | 0.942197i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 407.294i | 0.468692i | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −576.000 | −0.661309 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 353.553 | + | 353.553i | 0.404061 | + | 0.404061i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 680.000i | 0.775371i | 0.921792 | + | 0.387685i | \(0.126725\pi\) | ||||
−0.921792 | + | 0.387685i | \(0.873275\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | − | 292.742i | − | 0.332284i | −0.986102 | − | 0.166142i | \(-0.946869\pi\) | ||
0.986102 | − | 0.166142i | \(-0.0531310\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | − | 696.000i | − | 0.788222i | −0.919063 | − | 0.394111i | \(-0.871053\pi\) | ||
0.919063 | − | 0.394111i | \(-0.128947\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 882.469 | 0.994892 | 0.497446 | − | 0.867495i | \(-0.334271\pi\) | ||||
0.497446 | + | 0.867495i | \(0.334271\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −112.000 | −0.125984 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −678.823 | −0.760160 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −580.000 | + | 580.000i | −0.648045 | + | 0.648045i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | − | 152.735i | − | 0.169894i | ||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −6.00000 | −0.00665927 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −28.2843 | − | 28.2843i | −0.0312533 | − | 0.0312533i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 528.000i | 0.582139i | 0.956702 | + | 0.291069i | \(0.0940111\pi\) | ||||
−0.956702 | + | 0.291069i | \(0.905989\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | − | 1595.23i | − | 1.75108i | −0.483147 | − | 0.875539i | \(-0.660506\pi\) | ||
0.483147 | − | 0.875539i | \(-0.339494\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | − | 64.0000i | − | 0.0700986i | ||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 339.411 | 0.370132 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −660.000 | −0.718172 | −0.359086 | − | 0.933304i | \(-0.616912\pi\) | ||||
−0.359086 | + | 0.933304i | \(0.616912\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 916.410 | 0.992861 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 1400.00 | 1.51351 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | − | 1005.51i | − | 1.08235i | −0.840909 | − | 0.541176i | \(-0.817979\pi\) | ||
0.840909 | − | 0.541176i | \(-0.182021\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 792.000 | 0.850698 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 56.5685 | − | 56.5685i | 0.0605011 | − | 0.0605011i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 1568.00i | − | 1.67343i | −0.547642 | − | 0.836713i | \(-0.684474\pi\) | ||
0.547642 | − | 0.836713i | \(-0.315526\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | − | 637.810i | − | 0.677801i | −0.940822 | − | 0.338900i | \(-0.889945\pi\) | ||
0.940822 | − | 0.338900i | \(-0.110055\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | − | 952.000i | − | 1.00954i | ||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 1629.17 | 1.72035 | 0.860176 | − | 0.509997i | \(-0.170353\pi\) | ||||
0.860176 | + | 0.509997i | \(0.170353\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −828.000 | −0.872497 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 914.996 | 0.960122 | 0.480061 | − | 0.877235i | \(-0.340615\pi\) | ||||
0.480061 | + | 0.877235i | \(0.340615\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −1080.00 | + | 1080.00i | −1.13089 | + | 1.13089i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | − | 50.9117i | − | 0.0530883i | ||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −945.000 | −0.983351 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −226.274 | + | 226.274i | −0.234481 | + | 0.234481i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | − | 500.000i | − | 0.517063i | −0.966003 | − | 0.258532i | \(-0.916761\pi\) | ||
0.966003 | − | 0.258532i | \(-0.0832386\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | − | 1221.88i | − | 1.25837i | −0.777254 | − | 0.629187i | \(-0.783388\pi\) | ||
0.777254 | − | 0.629187i | \(-0.216612\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 32.0000i | 0.0328880i | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 1743.73 | 1.78478 | 0.892388 | − | 0.451270i | \(-0.149029\pi\) | ||||
0.892388 | + | 0.451270i | \(0.149029\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −656.000 | −0.670072 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 79.1960 | 0.0805656 | 0.0402828 | − | 0.999188i | \(-0.487174\pi\) | ||||
0.0402828 | + | 0.999188i | \(0.487174\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −815.000 | − | 815.000i | −0.827411 | − | 0.827411i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 3167.84i | 3.20307i | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 748.000 | 0.754793 | 0.377397 | − | 0.926052i | \(-0.376819\pi\) | ||||
0.377397 | + | 0.926052i | \(0.376819\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 1060.66 | + | 1060.66i | 1.06599 | + | 1.06599i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | − | 1464.00i | − | 1.46841i | −0.678930 | − | 0.734203i | \(-0.737556\pi\) | ||
0.678930 | − | 0.734203i | \(-0.262444\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))