Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [720,3,Mod(449,720)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(720, 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("720.449");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 720 = 2^{4} \cdot 3^{2} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 720.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: | \(19.6185790339\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Coefficient field: | \(\Q(\sqrt{-2}, \sqrt{23})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} + 24x^{2} + 121 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 2 \) |
Twist minimal: | no (minimal twist has level 180) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 449.3 | ||
Root | \(4.09827i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 720.449 |
Dual form | 720.3.c.b.449.4 |
$q$-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 \(\left(\mathbb{Z}/720\mathbb{Z}\right)^\times\).
\(n\) | \(181\) | \(271\) | \(577\) | \(641\) |
\(\chi(n)\) | \(1\) | \(1\) | \(-1\) | \(-1\) |
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 | ||||||||
\(5\) | 4.79583 | − | 1.41421i | 0.959166 | − | 0.282843i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 6.78233i | 0.968904i | 0.874818 | + | 0.484452i | \(0.160981\pi\) | ||||
−0.874818 | + | 0.484452i | \(0.839019\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | − | 9.89949i | − | 0.899954i | −0.893040 | − | 0.449977i | \(-0.851432\pi\) | ||
0.893040 | − | 0.449977i | \(-0.148568\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | − | 20.3470i | − | 1.56515i | −0.622554 | − | 0.782577i | \(-0.713905\pi\) | ||
0.622554 | − | 0.782577i | \(-0.286095\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 19.1833 | 1.12843 | 0.564215 | − | 0.825628i | \(-0.309179\pi\) | ||||
0.564215 | + | 0.825628i | \(0.309179\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −12.0000 | −0.631579 | −0.315789 | − | 0.948829i | \(-0.602269\pi\) | ||||
−0.315789 | + | 0.948829i | \(0.602269\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −9.59166 | −0.417029 | −0.208514 | − | 0.978019i | \(-0.566863\pi\) | ||||
−0.208514 | + | 0.978019i | \(0.566863\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 21.0000 | − | 13.5647i | 0.840000 | − | 0.542586i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | − | 8.48528i | − | 0.292596i | −0.989241 | − | 0.146298i | \(-0.953264\pi\) | ||
0.989241 | − | 0.146298i | \(-0.0467358\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 38.0000 | 1.22581 | 0.612903 | − | 0.790158i | \(-0.290002\pi\) | ||||
0.612903 | + | 0.790158i | \(0.290002\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 9.59166 | + | 32.5269i | 0.274048 | + | 0.929340i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | − | 6.78233i | − | 0.183306i | −0.995791 | − | 0.0916531i | \(-0.970785\pi\) | ||
0.995791 | − | 0.0916531i | \(-0.0292151\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 69.2965i | 1.69016i | 0.534642 | + | 0.845079i | \(0.320447\pi\) | ||||
−0.534642 | + | 0.845079i | \(0.679553\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | − | 67.8233i | − | 1.57729i | −0.614851 | − | 0.788643i | \(-0.710784\pi\) | ||
0.614851 | − | 0.788643i | \(-0.289216\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 76.7333 | 1.63262 | 0.816312 | − | 0.577612i | \(-0.196015\pi\) | ||||
0.816312 | + | 0.577612i | \(0.196015\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 3.00000 | 0.0612245 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −14.0000 | − | 47.4763i | −0.254545 | − | 0.863206i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 83.4386i | 1.41421i | 0.707107 | + | 0.707107i | \(0.250000\pi\) | ||||
−0.707107 | + | 0.707107i | \(0.750000\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −70.0000 | −1.14754 | −0.573770 | − | 0.819016i | \(-0.694520\pi\) | ||||
−0.573770 | + | 0.819016i | \(0.694520\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −28.7750 | − | 97.5807i | −0.442692 | − | 1.50124i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | − | 108.517i | − | 1.61966i | −0.586664 | − | 0.809830i | \(-0.699559\pi\) | ||
0.586664 | − | 0.809830i | \(-0.300441\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | − | 118.794i | − | 1.67315i | −0.547849 | − | 0.836577i | \(-0.684553\pi\) | ||
0.547849 | − | 0.836577i | \(-0.315447\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | − | 13.5647i | − | 0.185817i | −0.995675 | − | 0.0929086i | \(-0.970384\pi\) | ||
0.995675 | − | 0.0929086i | \(-0.0296164\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 67.1416 | 0.871969 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −30.0000 | −0.379747 | −0.189873 | − | 0.981809i | \(-0.560808\pi\) | ||||
−0.189873 | + | 0.981809i | \(0.560808\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 134.283 | 1.61787 | 0.808935 | − | 0.587897i | \(-0.200044\pi\) | ||||
0.808935 | + | 0.587897i | \(0.200044\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 92.0000 | − | 27.1293i | 1.08235 | − | 0.319168i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 32.5269i | 0.365471i | 0.983162 | + | 0.182735i | \(0.0584952\pi\) | ||||
−0.983162 | + | 0.182735i | \(0.941505\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 138.000 | 1.51648 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −57.5500 | + | 16.9706i | −0.605789 | + | 0.178638i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | − | 94.9526i | − | 0.978893i | −0.872033 | − | 0.489446i | \(-0.837199\pi\) | ||
0.872033 | − | 0.489446i | \(-0.162801\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 79.1960i | 0.784118i | 0.919940 | + | 0.392059i | \(0.128237\pi\) | ||||
−0.919940 | + | 0.392059i | \(0.871763\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 88.1703i | 0.856022i | 0.903773 | + | 0.428011i | \(0.140786\pi\) | ||||
−0.903773 | + | 0.428011i | \(0.859214\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −57.5500 | −0.537850 | −0.268925 | − | 0.963161i | \(-0.586668\pi\) | ||||
−0.268925 | + | 0.963161i | \(0.586668\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 74.0000 | 0.678899 | 0.339450 | − | 0.940624i | \(-0.389759\pi\) | ||||
0.339450 | + | 0.940624i | \(0.389759\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 172.650 | 1.52788 | 0.763938 | − | 0.645290i | \(-0.223263\pi\) | ||||
0.763938 | + | 0.645290i | \(0.223263\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −46.0000 | + | 13.5647i | −0.400000 | + | 0.117954i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 130.108i | 1.09334i | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 23.0000 | 0.190083 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 81.5291 | − | 94.7523i | 0.652233 | − | 0.758018i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 169.558i | 1.33510i | 0.744563 | + | 0.667552i | \(0.232658\pi\) | ||||
−0.744563 | + | 0.667552i | \(0.767342\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | − | 165.463i | − | 1.26308i | −0.775345 | − | 0.631538i | \(-0.782424\pi\) | ||
0.775345 | − | 0.631538i | \(-0.217576\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | − | 81.3880i | − | 0.611940i | ||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −115.100 | −0.840146 | −0.420073 | − | 0.907490i | \(-0.637995\pi\) | ||||
−0.420073 | + | 0.907490i | \(0.637995\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −62.0000 | −0.446043 | −0.223022 | − | 0.974814i | \(-0.571592\pi\) | ||||
−0.223022 | + | 0.974814i | \(0.571592\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −201.425 | −1.40857 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −12.0000 | − | 40.6940i | −0.0827586 | − | 0.280648i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 158.392i | 1.06303i | 0.847048 | + | 0.531517i | \(0.178378\pi\) | ||||
−0.847048 | + | 0.531517i | \(0.821622\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −70.0000 | −0.463576 | −0.231788 | − | 0.972766i | \(-0.574458\pi\) | ||||
−0.231788 | + | 0.972766i | \(0.574458\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 182.242 | − | 53.7401i | 1.17575 | − | 0.346710i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 47.4763i | 0.302397i | 0.988503 | + | 0.151198i | \(0.0483132\pi\) | ||||
−0.988503 | + | 0.151198i | \(0.951687\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | − | 65.0538i | − | 0.404061i | ||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | − | 94.9526i | − | 0.582531i | −0.956642 | − | 0.291266i | \(-0.905924\pi\) | ||
0.956642 | − | 0.291266i | \(-0.0940764\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −201.425 | −1.20614 | −0.603069 | − | 0.797689i | \(-0.706055\pi\) | ||||
−0.603069 | + | 0.797689i | \(0.706055\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −245.000 | −1.44970 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −268.567 | −1.55241 | −0.776204 | − | 0.630482i | \(-0.782857\pi\) | ||||
−0.776204 | + | 0.630482i | \(0.782857\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 92.0000 | + | 142.429i | 0.525714 | + | 0.813880i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 134.350i | 0.750560i | 0.926911 | + | 0.375280i | \(0.122453\pi\) | ||||
−0.926911 | + | 0.375280i | \(0.877547\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −22.0000 | −0.121547 | −0.0607735 | − | 0.998152i | \(-0.519357\pi\) | ||||
−0.0607735 | + | 0.998152i | \(0.519357\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −9.59166 | − | 32.5269i | −0.0518468 | − | 0.175821i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | − | 189.905i | − | 1.01554i | ||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 195.161i | 1.02179i | 0.859644 | + | 0.510894i | \(0.170686\pi\) | ||||
−0.859644 | + | 0.510894i | \(0.829314\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 271.293i | 1.40566i | 0.711356 | + | 0.702832i | \(0.248081\pi\) | ||||
−0.711356 | + | 0.702832i | \(0.751919\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −163.058 | −0.827707 | −0.413853 | − | 0.910344i | \(-0.635817\pi\) | ||||
−0.413853 | + | 0.910344i | \(0.635817\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −294.000 | −1.47739 | −0.738693 | − | 0.674042i | \(-0.764557\pi\) | ||||
−0.738693 | + | 0.674042i | \(0.764557\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 57.5500 | 0.283497 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 98.0000 | + | 332.334i | 0.478049 | + | 1.62114i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 118.794i | 0.568392i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 42.0000 | 0.199052 | 0.0995261 | − | 0.995035i | \(-0.468267\pi\) | ||||
0.0995261 | + | 0.995035i | \(0.468267\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −95.9166 | − | 325.269i | −0.446124 | − | 1.51288i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 257.729i | 1.18769i | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | − | 390.323i | − | 1.76617i | ||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 196.688i | 0.882007i | 0.897505 | + | 0.441004i | \(0.145377\pi\) | ||||
−0.897505 | + | 0.441004i | \(0.854623\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 268.567 | 1.18311 | 0.591556 | − | 0.806264i | \(-0.298514\pi\) | ||||
0.591556 | + | 0.806264i | \(0.298514\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −422.000 | −1.84279 | −0.921397 | − | 0.388622i | \(-0.872951\pi\) | ||||
−0.921397 | + | 0.388622i | \(0.872951\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −211.017 | −0.905651 | −0.452825 | − | 0.891599i | \(-0.649584\pi\) | ||||
−0.452825 | + | 0.891599i | \(0.649584\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 368.000 | − | 108.517i | 1.56596 | − | 0.461776i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | − | 70.7107i | − | 0.295861i | −0.988998 | − | 0.147930i | \(-0.952739\pi\) | ||
0.988998 | − | 0.147930i | \(-0.0472611\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 280.000 | 1.16183 | 0.580913 | − | 0.813966i | \(-0.302696\pi\) | ||||
0.580913 | + | 0.813966i | \(0.302696\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 14.3875 | − | 4.24264i | 0.0587245 | − | 0.0173169i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 244.164i | 0.988518i | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 80.6102i | 0.321156i | 0.987023 | + | 0.160578i | \(0.0513358\pi\) | ||||
−0.987023 | + | 0.160578i | \(0.948664\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 94.9526i | 0.375307i | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 46.0000 | 0.177606 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −67.1416 | −0.255291 | −0.127646 | − | 0.991820i | \(-0.540742\pi\) | ||||
−0.127646 | + | 0.991820i | \(0.540742\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 263.044i | 0.977858i | 0.872324 | + | 0.488929i | \(0.162612\pi\) | ||||
−0.872324 | + | 0.488929i | \(0.837388\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −322.000 | −1.18819 | −0.594096 | − | 0.804394i | \(-0.702490\pi\) | ||||
−0.594096 | + | 0.804394i | \(0.702490\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −134.283 | − | 207.889i | −0.488303 | − | 0.755961i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 33.9116i | 0.122425i | 0.998125 | + | 0.0612124i | \(0.0194967\pi\) | ||||
−0.998125 | + | 0.0612124i | \(0.980503\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | − | 326.683i | − | 1.16257i | −0.813699 | − | 0.581287i | \(-0.802549\pi\) | ||
0.813699 | − | 0.581287i | \(-0.197451\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 108.517i | 0.383453i | 0.981448 | + | 0.191727i | \(0.0614087\pi\) | ||||
−0.981448 | + | 0.191727i | \(0.938591\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −469.991 | −1.63760 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 79.0000 | 0.273356 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 201.425 | 0.687457 | 0.343729 | − | 0.939069i | \(-0.388310\pi\) | ||||
0.343729 | + | 0.939069i | \(0.388310\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 118.000 | + | 400.157i | 0.400000 | + | 1.35647i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 195.161i | 0.652714i | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 460.000 | 1.52824 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −335.708 | + | 98.9949i | −1.10068 | + | 0.324574i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 162.776i | 0.530215i | 0.964219 | + | 0.265107i | \(0.0854074\pi\) | ||||
−0.964219 | + | 0.265107i | \(0.914593\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 178.191i | 0.572961i | 0.958086 | + | 0.286481i | \(0.0924854\pi\) | ||||
−0.958086 | + | 0.286481i | \(0.907515\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | − | 54.2586i | − | 0.173350i | −0.996237 | − | 0.0866751i | \(-0.972376\pi\) | ||
0.996237 | − | 0.0866751i | \(-0.0276242\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 278.158 | 0.877471 | 0.438735 | − | 0.898616i | \(-0.355427\pi\) | ||||
0.438735 | + | 0.898616i | \(0.355427\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −84.0000 | −0.263323 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −230.200 | −0.712693 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −276.000 | − | 427.287i | −0.849231 | − | 1.31473i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 520.431i | 1.58186i | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −40.0000 | −0.120846 | −0.0604230 | − | 0.998173i | \(-0.519245\pi\) | ||||
−0.0604230 | + | 0.998173i | \(0.519245\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −153.467 | − | 520.431i | −0.458109 | − | 1.55352i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | − | 311.987i | − | 0.925778i | −0.886416 | − | 0.462889i | \(-0.846813\pi\) | ||
0.886416 | − | 0.462889i | \(-0.153187\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | − | 376.181i | − | 1.10317i | ||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 352.681i | 1.02822i | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 402.850 | 1.16095 | 0.580475 | − | 0.814278i | \(-0.302867\pi\) | ||||
0.580475 | + | 0.814278i | \(0.302867\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −406.000 | −1.16332 | −0.581662 | − | 0.813431i | \(-0.697597\pi\) | ||||
−0.581662 | + | 0.813431i | \(0.697597\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 537.133 | 1.52162 | 0.760812 | − | 0.648973i | \(-0.224801\pi\) | ||||
0.760812 | + | 0.648973i | \(0.224801\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −168.000 | − | 569.716i | −0.473239 | − | 1.60483i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 161.220i | 0.449082i | 0.974465 | + | 0.224541i | \(0.0720882\pi\) | ||||
−0.974465 | + | 0.224541i | \(0.927912\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −217.000 | −0.601108 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −19.1833 | − | 65.0538i | −0.0525571 | − | 0.178230i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 250.946i | 0.683777i | 0.939740 | + | 0.341889i | \(0.111067\pi\) | ||||
−0.939740 | + | 0.341889i | \(0.888933\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | − | 101.735i | − | 0.272748i | −0.990657 | − | 0.136374i | \(-0.956455\pi\) | ||
0.990657 | − | 0.136374i | \(-0.0435449\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −172.650 | −0.457957 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −538.000 | −1.41953 | −0.709763 | − | 0.704441i | \(-0.751198\pi\) | ||||
−0.709763 | + | 0.704441i | \(0.751198\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 268.567 | 0.701218 | 0.350609 | − | 0.936522i | \(-0.385975\pi\) | ||||
0.350609 | + | 0.936522i | \(0.385975\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 322.000 | − | 94.9526i | 0.836364 | − | 0.246630i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 494.975i | 1.27243i | 0.771512 | + | 0.636214i | \(0.219501\pi\) | ||||
−0.771512 | + | 0.636214i | \(0.780499\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −184.000 | −0.470588 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −143.875 | + | 42.4264i | −0.364240 | + | 0.107409i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 278.076i | 0.700442i | 0.936667 | + | 0.350221i | \(0.113894\pi\) | ||||
−0.936667 | + | 0.350221i | \(0.886106\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | − | 247.487i | − | 0.617175i | −0.951196 | − | 0.308588i | \(-0.900144\pi\) | ||
0.951196 | − | 0.308588i | \(-0.0998563\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | − | 773.186i | − | 1.91857i | ||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −67.1416 | −0.164967 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −242.000 | −0.591687 | −0.295844 | − | 0.955236i | \(-0.595601\pi\) | ||||
−0.295844 | + | 0.955236i | \(0.595601\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −565.908 | −1.37024 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 644.000 | − | 189.905i | 1.55181 | − | 0.457603i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 790.545i | 1.88674i | 0.331738 | + | 0.943372i | \(0.392365\pi\) | ||||
−0.331738 | + | 0.943372i | \(0.607635\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 358.000 | 0.850356 | 0.425178 | − | 0.905110i | \(-0.360211\pi\) | ||||
0.425178 | + | 0.905110i | \(0.360211\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 402.850 | − | 260.215i | 0.947882 | − | 0.612271i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | − | 474.763i | − | 1.11186i | ||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | − | 14.1421i | − | 0.0328124i | −0.999865 | − | 0.0164062i | \(-0.994778\pi\) | ||
0.999865 | − | 0.0164062i | \(-0.00522249\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 257.729i | − | 0.595216i | −0.954688 | − | 0.297608i | \(-0.903811\pi\) | ||
0.954688 | − | 0.297608i | \(-0.0961888\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 115.100 | 0.263387 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 690.000 | 1.57175 | 0.785877 | − | 0.618383i | \(-0.212212\pi\) | ||||
0.785877 | + | 0.618383i | \(0.212212\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 402.850 | 0.909368 | 0.454684 | − | 0.890653i | \(-0.349752\pi\) | ||||
0.454684 | + | 0.890653i | \(0.349752\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 46.0000 | + | 155.994i | 0.103371 | + | 0.350547i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 80.6102i | 0.179533i | 0.995963 | + | 0.0897663i | \(0.0286120\pi\) | ||||
−0.995963 | + | 0.0897663i | \(0.971388\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 686.000 | 1.52106 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 661.825 | − | 195.161i | 1.45456 | − | 0.428926i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 339.116i | 0.742049i | 0.928623 | + | 0.371025i | \(0.120993\pi\) | ||||
−0.928623 | + | 0.371025i | \(0.879007\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 644.881i | 1.39888i | 0.714694 | + | 0.699438i | \(0.246566\pi\) | ||||
−0.714694 | + | 0.699438i | \(0.753434\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 264.511i | − | 0.571298i | −0.958334 | − | 0.285649i | \(-0.907791\pi\) | ||
0.958334 | − | 0.285649i | \(-0.0922091\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 460.400 | 0.985867 | 0.492933 | − | 0.870067i | \(-0.335925\pi\) | ||||
0.492933 | + | 0.870067i | \(0.335925\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 736.000 | 1.56930 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −671.416 | −1.41949 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −252.000 | + | 162.776i | −0.530526 | + | 0.342686i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | − | 79.1960i | − | 0.165336i | −0.996577 | − | 0.0826680i | \(-0.973656\pi\) | ||
0.996577 | − | 0.0826680i | \(-0.0263441\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −138.000 | −0.286902 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −134.283 | − | 455.377i | −0.276873 | − | 0.938921i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | − | 793.533i | − | 1.62943i | −0.579861 | − | 0.814715i | \(-0.696893\pi\) | ||
0.579861 | − | 0.814715i | \(-0.303107\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | − | 564.271i | − | 1.14923i | −0.818424 | − | 0.574614i | \(-0.805152\pi\) | ||
0.818424 | − | 0.574614i | \(-0.194848\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | − | 162.776i | − | 0.330174i | ||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 805.700 | 1.62113 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 72.0000 | 0.144289 | 0.0721443 | − | 0.997394i | \(-0.477016\pi\) | ||||
0.0721443 | + | 0.997394i | \(0.477016\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −230.200 | −0.457654 | −0.228827 | − | 0.973467i | \(-0.573489\pi\) | ||||
−0.228827 | + | 0.973467i | \(0.573489\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 112.000 | + | 379.810i | 0.221782 | + | 0.752100i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | − | 492.146i | − | 0.966889i | −0.875375 | − | 0.483444i | \(-0.839386\pi\) | ||
0.875375 | − | 0.483444i | \(-0.160614\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 92.0000 | 0.180039 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 124.692 | + | 422.850i | 0.242120 | + | 0.821068i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | − | 759.621i | − | 1.46929i | ||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | − | 69.2965i | − | 0.133007i | −0.997786 | − | 0.0665033i | \(-0.978816\pi\) | ||
0.997786 | − | 0.0665033i | \(-0.0211843\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | − | 339.116i | − | 0.648406i | −0.945987 | − | 0.324203i | \(-0.894904\pi\) | ||
0.945987 | − | 0.324203i | \(-0.105096\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 728.966 | 1.38324 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −437.000 | −0.826087 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 1409.97 | 2.64536 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −276.000 | + | 81.3880i | −0.515888 | + | 0.152127i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | − | 29.6985i | − | 0.0550992i | ||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −590.000 | −1.09057 | −0.545287 | − | 0.838250i | \(-0.683579\pi\) | ||||
−0.545287 | + | 0.838250i | \(0.683579\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 354.892 | − | 104.652i | 0.651177 | − | 0.192022i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 230.599i | 0.421571i | 0.977532 | + | 0.210785i | \(0.0676021\pi\) | ||||
−0.977532 | + | 0.210785i | \(0.932398\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 101.823i | 0.184797i | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | − | 203.470i | − | 0.367938i | ||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −690.600 | −1.23986 | −0.619928 | − | 0.784659i | \(-0.712838\pi\) | ||||
−0.619928 | + | 0.784659i | \(0.712838\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −1380.00 | −2.46869 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −19.1833 | −0.0340734 | −0.0170367 | − | 0.999855i | \(-0.505423\pi\) | ||||
−0.0170367 | + | 0.999855i | \(0.505423\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 828.000 | − | 244.164i | 1.46549 | − | 0.432148i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 108.894i | 0.191379i | 0.995411 | + | 0.0956893i | \(0.0305055\pi\) | ||||
−0.995411 | + | 0.0956893i | \(0.969494\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 704.000 | 1.23292 | 0.616462 | − | 0.787384i | \(-0.288565\pi\) | ||||
0.616462 | + | 0.787384i | \(0.288565\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −201.425 | + | 130.108i | −0.350304 | + | 0.226274i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | − | 1125.87i | − | 1.95124i | −0.219462 | − | 0.975621i | \(-0.570430\pi\) | ||
0.219462 | − | 0.975621i | \(-0.429570\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 910.754i | 1.56756i | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0 | 0 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −978.350 | −1.66669 | −0.833347 | − | 0.552750i | \(-0.813578\pi\) | ||||
−0.833347 | + | 0.552750i | \(0.813578\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −456.000 | −0.774194 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 184.000 | + | 623.974i | 0.309244 | + | 1.04870i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 296.985i | 0.495801i | 0.968785 | + | 0.247901i | \(0.0797406\pi\) | ||||
−0.968785 | + | 0.247901i | \(0.920259\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 20.0000 | 0.0332779 | 0.0166389 | − | 0.999862i | \(-0.494703\pi\) | ||||
0.0166389 | + | 0.999862i | \(0.494703\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 110.304 | − | 32.5269i | 0.182321 | − | 0.0537635i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | − | 6.78233i | − | 0.0111735i | −0.999984 | − | 0.00558676i | \(-0.998222\pi\) | ||
0.999984 | − | 0.00558676i | \(-0.00177833\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | − | 1561.29i | − | 2.55531i | ||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 47.4763i | 0.0774491i | 0.999250 | + | 0.0387246i | \(0.0123295\pi\) | ||||
−0.999250 | + | 0.0387246i | \(0.987671\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −38.3667 | −0.0621826 | −0.0310913 | − | 0.999517i | \(-0.509898\pi\) | ||||
−0.0310913 | + | 0.999517i | \(0.509898\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −178.000 | −0.287561 | −0.143780 | − | 0.989610i | \(-0.545926\pi\) | ||||
−0.143780 | + | 0.989610i | \(0.545926\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −220.608 | −0.354106 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 257.000 | − | 569.716i | 0.411200 | − | 0.911545i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | − | 130.108i | − | 0.206848i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 154.000 | 0.244057 | 0.122029 | − | 0.992527i | \(-0.461060\pi\) | ||||
0.122029 | + | 0.992527i | \(0.461060\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 239.792 | + | 813.173i | 0.377625 | + | 1.28059i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | − | 61.0410i | − | 0.0958257i | ||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 807.516i | 1.25978i | 0.776686 | + | 0.629888i | \(0.216899\pi\) | ||||
−0.776686 | + | 0.629888i | \(0.783101\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 1017.35i | 1.58219i | 0.611692 | + | 0.791096i | \(0.290489\pi\) | ||||
−0.611692 | + | 0.791096i | \(0.709511\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −805.700 | −1.24529 | −0.622643 | − | 0.782506i | \(-0.713941\pi\) | ||||
−0.622643 | + | 0.782506i | \(0.713941\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 826.000 | 1.27273 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 67.1416 | 0.102820 | 0.0514101 | − | 0.998678i | \(-0.483628\pi\) | ||||
0.0514101 | + | 0.998678i | \(0.483628\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −234.000 | − | 793.533i | −0.357252 | − | 1.21150i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 524.673i | 0.796166i | 0.917349 | + | 0.398083i | \(0.130324\pi\) | ||||
−0.917349 | + | 0.398083i | \(0.869676\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 74.0000 | 0.111952 | 0.0559758 | − | 0.998432i | \(-0.482173\pi\) | ||||
0.0559758 | + | 0.998432i | \(0.482173\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −115.100 | − | 390.323i | −0.173083 | − | 0.586952i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 81.3880i | 0.122021i | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 692.965i | 1.03273i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | − | 691.798i | − | 1.02793i | −0.857811 | − | 0.513966i | \(-0.828176\pi\) | ||
0.857811 | − | 0.513966i | \(-0.171824\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 278.158 | 0.410869 | 0.205434 | − | 0.978671i | \(-0.434139\pi\) | ||||
0.205434 | + | 0.978671i | \(0.434139\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 644.000 | 0.948454 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 422.033 | 0.617911 | 0.308955 | − | 0.951077i | \(-0.400021\pi\) | ||||
0.308955 | + | 0.951077i | \(0.400021\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −552.000 | + | 162.776i | −0.805839 | + | 0.237629i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 0 | 0 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 68.0000 | 0.0984081 | 0.0492041 | − | 0.998789i | \(-0.484332\pi\) | ||||
0.0492041 | + | 0.998789i | \(0.484332\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −297.342 | + | 87.6812i | −0.427830 | + | 0.126160i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 1329.34i | 1.90723i | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − | 130.108i | − | 0.185603i | −0.995685 | − | 0.0928015i | \(-0.970418\pi\) | ||
0.995685 | − | 0.0928015i | \(-0.0295822\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 81.3880i | 0.115772i | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −537.133 | −0.759736 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −210.000 | −0.296192 | −0.148096 | − | 0.988973i | \(-0.547314\pi\) | ||||
−0.148096 | + | 0.988973i | \(0.547314\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −364.483 | −0.511197 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −966.000 | + | 284.858i | −1.35105 | + | 0.398403i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | − | 121.622i | − | 0.169155i | −0.996417 | − | 0.0845774i | \(-0.973046\pi\) | ||
0.996417 | − | 0.0845774i | \(-0.0269540\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −598.000 | −0.829404 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −115.100 | − | 178.191i | −0.158759 | − | 0.245781i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | − | 20.3470i | − | 0.0279876i | −0.999902 | − | 0.0139938i | \(-0.995545\pi\) | ||
0.999902 | − | 0.0139938i | \(-0.00445451\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | − | 1301.08i | − | 1.77986i | ||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 1417.51i | 1.93384i | 0.255074 | + | 0.966922i | \(0.417900\pi\) | ||||
−0.255074 | + | 0.966922i | \(0.582100\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −1074.27 | −1.45762 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −416.000 | −0.562923 | −0.281461 | − | 0.959573i | \(-0.590819\pi\) | ||||
−0.281461 | + | 0.959573i | \(0.590819\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 805.700 | 1.08439 | 0.542194 | − | 0.840254i | \(-0.317594\pi\) | ||||
0.542194 | + | 0.840254i | \(0.317594\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 224.000 | + | 759.621i | 0.300671 | + | 1.01963i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | − | 390.323i | − | 0.521125i | ||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −86.0000 | −0.114514 | −0.0572570 | − | 0.998359i | \(-0.518235\pi\) | ||||
−0.0572570 | + | 0.998359i | \(0.518235\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −335.708 | + | 98.9949i | −0.444647 | + | 0.131119i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | − | 47.4763i | − | 0.0627164i | −0.999508 | − | 0.0313582i | \(-0.990017\pi\) | ||
0.999508 | − | 0.0313582i | \(-0.00998326\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 369.110i | 0.485033i | 0.970147 | + | 0.242516i | \(0.0779728\pi\) | ||||
−0.970147 | + | 0.242516i | \(0.922027\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 501.892i | 0.657788i | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 1697.72 | 2.21346 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 384.000 | 0.499350 | 0.249675 | − | 0.968330i | \(-0.419676\pi\) | ||||
0.249675 | + | 0.968330i | \(0.419676\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −201.425 | −0.260576 | −0.130288 | − | 0.991476i | \(-0.541590\pi\) | ||||
−0.130288 | + | 0.991476i | \(0.541590\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 798.000 | − | 515.457i | 1.02968 | − | 0.665106i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | − | 831.558i | − | 1.06747i | ||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −1176.00 | −1.50576 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 67.1416 | + | 227.688i | 0.0855308 | + | 0.290049i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 474.763i | 0.603257i | 0.953426 | + | 0.301628i | \(0.0975302\pi\) | ||||
−0.953426 | + | 0.301628i | \(0.902470\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 1170.97i | 1.48037i | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 1424.29i | 1.79608i | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −498.766 | −0.625805 | −0.312902 | − | 0.949785i | \(-0.601301\pi\) | ||||
−0.312902 | + | 0.949785i | \(0.601301\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 1472.00 | 1.84230 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −134.283 | −0.167227 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −92.0000 | − | 311.987i | −0.114286 | − | 0.387562i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | − | 1480.68i | − | 1.83026i | −0.403157 | − | 0.915131i | \(-0.632087\pi\) | ||
0.403157 | − | 0.915131i | \(-0.367913\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 602.000 | 0.742293 | 0.371147 | − | 0.928574i | \(-0.378965\pi\) | ||||
0.371147 | + | 0.928574i | \(0.378965\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −134.283 | − | 455.377i | −0.164765 | − | 0.558744i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 813.880i | 0.996181i | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | − | 1405.73i | − | 1.71221i | −0.516798 | − | 0.856107i | \(-0.672876\pi\) | ||
0.516798 | − | 0.856107i | \(-0.327124\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | − | 1281.86i | − | 1.55755i | −0.627306 | − | 0.778773i | \(-0.715842\pi\) | ||
0.627306 | − | 0.778773i | \(-0.284158\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −1170.18 | −1.41497 | −0.707487 | − | 0.706727i | \(-0.750171\pi\) | ||||
−0.707487 | + | 0.706727i | \(0.750171\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 1074.00 | 1.29554 | 0.647768 | − | 0.761837i | \(-0.275702\pi\) | ||||
0.647768 | + | 0.761837i | \(0.275702\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 57.5500 | 0.0690876 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −966.000 | + | 284.858i | −1.15689 | + | 0.341147i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | − | 743.876i | − | 0.886623i | −0.896368 | − | 0.443311i | \(-0.853804\pi\) | ||
0.896368 | − | 0.443311i | \(-0.146196\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 769.000 | 0.914388 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −1174.98 | + | 346.482i | −1.39051 | + | 0.410038i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 155.994i | 0.184172i | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 65.0538i | 0.0764440i | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | − | 169.558i | − | 0.198779i | −0.995049 | − | 0.0993894i | \(-0.968311\pi\) | ||
0.995049 | − | 0.0993894i | \(-0.0316889\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 115.100 | 0.134306 | 0.0671528 | − | 0.997743i | \(-0.478608\pi\) | ||||
0.0671528 | + | 0.997743i | \(0.478608\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −154.000 | −0.179278 | −0.0896391 | − | 0.995974i | \(-0.528571\pi\) | ||||
−0.0896391 | + | 0.995974i | \(0.528571\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −1064.67 | −1.23369 | −0.616845 | − | 0.787085i | \(-0.711589\pi\) | ||||
−0.616845 | + | 0.787085i | \(0.711589\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −1288.00 | + | 379.810i | −1.48902 | + | 0.439087i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 296.985i | 0.341755i | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −2208.00 | −2.53502 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 642.641 | + | 552.958i | 0.734447 | + | 0.631951i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 1390.38i | 1.58538i | 0.609625 | + | 0.792690i | \(0.291320\pi\) | ||||
−0.609625 | + | 0.792690i | \(0.708680\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 861.256i | 0.977589i | 0.872399 | + | 0.488795i | \(0.162563\pi\) | ||||
−0.872399 | + | 0.488795i | \(0.837437\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 1017.35i | 1.15215i | 0.817396 | + | 0.576076i | \(0.195417\pi\) | ||||
−0.817396 | + | 0.576076i | \(0.804583\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 604.275 | 0.681257 | 0.340628 | − | 0.940198i | \(-0.389360\pi\) | ||||
0.340628 | + | 0.940198i | \(0.389360\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −1150.00 | −1.29359 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −920.800 | −1.03113 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 190.000 | + | 644.321i | 0.212291 | + | 0.719912i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | − | 322.441i | − | 0.358666i | ||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 0 | 0 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −105.508 | + | 31.1127i | −0.116584 | + | 0.0343787i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 935.962i | 1.03193i | 0.856609 | + | 0.515966i | \(0.172567\pi\) | ||||
−0.856609 | + | 0.515966i | \(0.827433\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 763.675i | 0.838282i | 0.907921 | + | 0.419141i | \(0.137669\pi\) | ||||
−0.907921 | + | 0.419141i | \(0.862331\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | − | 1329.34i | − | 1.45601i | ||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 1122.22 | 1.22380 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 54.0000 | 0.0587595 | 0.0293798 | − | 0.999568i | \(-0.490647\pi\) | ||||
0.0293798 | + | 0.999568i | \(0.490647\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −2417.10 | −2.61874 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −92.0000 | − | 142.429i | −0.0994595 | − | 0.153977i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 148.492i | 0.159841i | 0.996801 | + | 0.0799206i | \(0.0254667\pi\) | ||||
−0.996801 | + | 0.0799206i | \(0.974533\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −36.0000 | −0.0386681 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −268.567 | − | 910.754i | −0.287237 | − | 0.974068i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 786.750i | − | 0.839648i | −0.907606 | − | 0.419824i | \(-0.862092\pi\) | ||
0.907606 | − | 0.419824i | \(-0.137908\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | − | 342.240i | − | 0.363698i | −0.983326 | − | 0.181849i | \(-0.941792\pi\) | ||
0.983326 | − | 0.181849i | \(-0.0582082\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | − | 664.668i | − | 0.704844i | ||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 402.850 | 0.425396 | 0.212698 | − | 0.977118i | \(-0.431775\pi\) | ||||
0.212698 | + | 0.977118i | \(0.431775\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −276.000 | −0.290832 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −1074.27 | −1.12725 | −0.563623 | − | 0.826032i | \(-0.690593\pi\) | ||||
−0.563623 | + | 0.826032i | \(0.690593\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 276.000 | + | 935.962i | 0.289005 | + | 0.980064i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | − | 780.646i | − | 0.814021i | ||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 483.000 | 0.502601 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 383.667 | + | 1301.08i | 0.397582 | + | 1.34827i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 400.157i | 0.413813i | 0.978361 | + | 0.206907i | \(0.0663396\pi\) | ||||
−0.978361 | + | 0.206907i | \(0.933660\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 683.065i | 0.703466i | 0.936100 | + | 0.351733i | \(0.114407\pi\) | ||||
−0.936100 | + | 0.351733i | \(0.885593\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | − | 420.504i | − | 0.432173i | ||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 1611.40 | 1.64933 | 0.824667 | − | 0.565618i | \(-0.191363\pi\) | ||||
0.824667 | + | 0.565618i | \(0.191363\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 322.000 | 0.328907 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 959.166 | 0.975754 | 0.487877 | − | 0.872912i | \(-0.337771\pi\) | ||||
0.487877 | + | 0.872912i | \(0.337771\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −782.000 | + | 230.599i | −0.793909 | + | 0.234111i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 650.538i | 0.657774i | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −1054.00 | −1.06357 | −0.531786 | − | 0.846879i | \(-0.678479\pi\) | ||||
−0.531786 | + | 0.846879i | \(0.678479\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −1409.97 | + | 415.779i | −1.41706 | + | 0.417868i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | − | 1200.47i | − | 1.20408i | −0.798464 | − | 0.602042i | \(-0.794354\pi\) | ||
0.798464 | − | 0.602042i | \(-0.205646\pi\) | |||||||
\(998\) | 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 \(a_p\))