Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [864,2,Mod(433,864)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(864, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("864.433");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 864 = 2^{5} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 864.d (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: | \(6.89907473464\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Coefficient field: | 8.0.629407744.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - 2x^{6} + 2x^{4} - 8x^{2} + 16 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{13}]\) |
Coefficient ring index: | \( 2^{6}\cdot 3^{2} \) |
Twist minimal: | no (minimal twist has level 216) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 433.3 | ||
Root | \(0.767178 - 1.18804i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 864.433 |
Dual form | 864.2.d.c.433.6 |
$q$-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 \(\left(\mathbb{Z}/864\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(353\) | \(703\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(1\) |
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 | ||||||||
\(5\) | − 0.841723i | − 0.376430i | −0.982128 | − | 0.188215i | \(-0.939730\pi\) | ||||
0.982128 | − | 0.188215i | \(-0.0602702\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.64575 | −1.00000 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 3.91044i | 1.17904i | 0.807754 | + | 0.589520i | \(0.200683\pi\) | ||||
−0.807754 | + | 0.589520i | \(0.799317\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | − 0.645751i | − 0.179099i | −0.995982 | − | 0.0895496i | \(-0.971457\pi\) | ||||
0.995982 | − | 0.0895496i | \(-0.0285428\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 5.59388 | 1.35672 | 0.678358 | − | 0.734732i | \(-0.262692\pi\) | ||||
0.678358 | + | 0.734732i | \(0.262692\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 4.29150i | 0.984538i | 0.870443 | + | 0.492269i | \(0.163832\pi\) | ||||
−0.870443 | + | 0.492269i | \(0.836168\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 8.66259 | 1.80628 | 0.903138 | − | 0.429351i | \(-0.141258\pi\) | ||||
0.903138 | + | 0.429351i | \(0.141258\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 4.29150 | 0.858301 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 7.82087i | 1.45230i | 0.687537 | + | 0.726150i | \(0.258692\pi\) | ||||
−0.687537 | + | 0.726150i | \(0.741308\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.00000 | −0.359211 | −0.179605 | − | 0.983739i | \(-0.557482\pi\) | ||||
−0.179605 | + | 0.983739i | \(0.557482\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 2.22699i | 0.376430i | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | − 6.64575i | − 1.09255i | −0.837604 | − | 0.546277i | \(-0.816044\pi\) | ||||
0.837604 | − | 0.546277i | \(-0.183956\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 6.13742 | 0.958505 | 0.479252 | − | 0.877677i | \(-0.340908\pi\) | ||||
0.479252 | + | 0.877677i | \(0.340908\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | − 7.29150i | − 1.11194i | −0.831201 | − | 0.555972i | \(-0.812346\pi\) | ||||
0.831201 | − | 0.555972i | \(-0.187654\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 2.52517 | 0.368334 | 0.184167 | − | 0.982895i | \(-0.441041\pi\) | ||||
0.184167 | + | 0.982895i | \(0.441041\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 7.82087i | 1.07428i | 0.843493 | + | 0.537140i | \(0.180495\pi\) | ||||
−0.843493 | + | 0.537140i | \(0.819505\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 3.29150 | 0.443826 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | − 7.27733i | − 0.947427i | −0.880679 | − | 0.473714i | \(-0.842913\pi\) | ||||
0.880679 | − | 0.473714i | \(-0.157087\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 13.9373i | 1.78448i | 0.451559 | + | 0.892241i | \(0.350868\pi\) | ||||
−0.451559 | + | 0.892241i | \(0.649132\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −0.543544 | −0.0674183 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 3.00000i | 0.366508i | 0.983066 | + | 0.183254i | \(0.0586631\pi\) | ||||
−0.983066 | + | 0.183254i | \(0.941337\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −9.58301 | −1.12161 | −0.560803 | − | 0.827949i | \(-0.689507\pi\) | ||||
−0.560803 | + | 0.827949i | \(0.689507\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | − 10.3460i | − 1.17904i | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 3.35425 | 0.377382 | 0.188691 | − | 0.982036i | \(-0.439575\pi\) | ||||
0.188691 | + | 0.982036i | \(0.439575\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 9.50432i | 1.04323i | 0.853180 | + | 0.521617i | \(0.174671\pi\) | ||||
−0.853180 | + | 0.521617i | \(0.825329\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | − 4.70850i | − 0.510708i | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −5.59388 | −0.592950 | −0.296475 | − | 0.955041i | \(-0.595811\pi\) | ||||
−0.296475 | + | 0.955041i | \(0.595811\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.70850i | 0.179099i | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 3.61226 | 0.370610 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −8.29150 | −0.841875 | −0.420937 | − | 0.907090i | \(-0.638299\pi\) | ||||
−0.420937 | + | 0.907090i | \(0.638299\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 1.68345i | 0.167509i | 0.996486 | + | 0.0837546i | \(0.0266912\pi\) | ||||
−0.996486 | + | 0.0837546i | \(0.973309\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 10.6458 | 1.04896 | 0.524479 | − | 0.851424i | \(-0.324260\pi\) | ||||
0.524479 | + | 0.851424i | \(0.324260\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 8.96077i | 0.866271i | 0.901329 | + | 0.433135i | \(0.142593\pi\) | ||||
−0.901329 | + | 0.433135i | \(0.857407\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 4.70850i | 0.450992i | 0.974244 | + | 0.225496i | \(0.0724003\pi\) | ||||
−0.974244 | + | 0.225496i | \(0.927600\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 11.7313 | 1.10359 | 0.551794 | − | 0.833980i | \(-0.313943\pi\) | ||||
0.551794 | + | 0.833980i | \(0.313943\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | − 7.29150i | − 0.679936i | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −14.8000 | −1.35672 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −4.29150 | −0.390137 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | − 7.82087i | − 0.699520i | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 5.29150 | 0.469545 | 0.234772 | − | 0.972050i | \(-0.424565\pi\) | ||||
0.234772 | + | 0.972050i | \(0.424565\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | − 13.9583i | − 1.21954i | −0.792578 | − | 0.609771i | \(-0.791261\pi\) | ||||
0.792578 | − | 0.609771i | \(-0.208739\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | − 11.3542i | − 0.984538i | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −11.7313 | −1.00227 | −0.501137 | − | 0.865368i | \(-0.667085\pi\) | ||||
−0.501137 | + | 0.865368i | \(0.667085\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | − 1.70850i | − 0.144913i | −0.997372 | − | 0.0724564i | \(-0.976916\pi\) | ||||
0.997372 | − | 0.0724564i | \(-0.0230838\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 2.52517 | 0.211165 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 6.58301 | 0.546689 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | − 15.6417i | − 1.28142i | −0.767782 | − | 0.640711i | \(-0.778640\pi\) | ||||
0.767782 | − | 0.640711i | \(-0.221360\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −7.35425 | −0.598480 | −0.299240 | − | 0.954178i | \(-0.596733\pi\) | ||||
−0.299240 | + | 0.954178i | \(0.596733\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 1.68345i | 0.135218i | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 19.2915i | 1.53963i | 0.638267 | + | 0.769815i | \(0.279651\pi\) | ||||
−0.638267 | + | 0.769815i | \(0.720349\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −22.9191 | −1.80628 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | − 4.29150i | − 0.336136i | −0.985775 | − | 0.168068i | \(-0.946247\pi\) | ||||
0.985775 | − | 0.168068i | \(-0.0537529\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −13.7129 | −1.06114 | −0.530569 | − | 0.847642i | \(-0.678022\pi\) | ||||
−0.530569 | + | 0.847642i | \(0.678022\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 12.5830 | 0.967923 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 12.8712i | 0.978580i | 0.872121 | + | 0.489290i | \(0.162744\pi\) | ||||
−0.872121 | + | 0.489290i | \(0.837256\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −11.3542 | −0.858301 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | − 19.0086i | − 1.42077i | −0.703812 | − | 0.710386i | \(-0.748520\pi\) | ||||
0.703812 | − | 0.710386i | \(-0.251480\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − 11.3542i | − 0.843955i | −0.906606 | − | 0.421977i | \(-0.861336\pi\) | ||||
0.906606 | − | 0.421977i | \(-0.138664\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −5.59388 | −0.411270 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 21.8745i | 1.59962i | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −19.8504 | −1.43632 | −0.718161 | − | 0.695877i | \(-0.755016\pi\) | ||||
−0.718161 | + | 0.695877i | \(0.755016\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 6.29150 | 0.452872 | 0.226436 | − | 0.974026i | \(-0.427293\pi\) | ||||
0.226436 | + | 0.974026i | \(0.427293\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | − 6.97915i | − 0.497244i | −0.968601 | − | 0.248622i | \(-0.920022\pi\) | ||||
0.968601 | − | 0.248622i | \(-0.0799776\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −18.5203 | −1.31287 | −0.656433 | − | 0.754384i | \(-0.727936\pi\) | ||||
−0.656433 | + | 0.754384i | \(0.727936\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | − 20.6921i | − 1.45230i | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | − 5.16601i | − 0.360810i | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −16.7816 | −1.16081 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | − 10.2915i | − 0.708496i | −0.935151 | − | 0.354248i | \(-0.884737\pi\) | ||||
0.935151 | − | 0.354248i | \(-0.115263\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −6.13742 | −0.418569 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 5.29150 | 0.359211 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | − 3.61226i | − 0.242987i | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 10.0000 | 0.669650 | 0.334825 | − | 0.942280i | \(-0.391323\pi\) | ||||
0.334825 | + | 0.942280i | \(0.391323\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 3.36689i | 0.223468i | 0.993738 | + | 0.111734i | \(0.0356405\pi\) | ||||
−0.993738 | + | 0.111734i | \(0.964359\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | − 29.1660i | − 1.92734i | −0.267088 | − | 0.963672i | \(-0.586061\pi\) | ||||
0.267088 | − | 0.963672i | \(-0.413939\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 11.1878 | 0.732935 | 0.366467 | − | 0.930431i | \(-0.380567\pi\) | ||||
0.366467 | + | 0.930431i | \(0.380567\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | − 2.12549i | − 0.138652i | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 5.05034 | 0.326679 | 0.163340 | − | 0.986570i | \(-0.447773\pi\) | ||||
0.163340 | + | 0.986570i | \(0.447773\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −4.87451 | −0.313995 | −0.156997 | − | 0.987599i | \(-0.550181\pi\) | ||||
−0.156997 | + | 0.987599i | \(0.550181\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 2.77124 | 0.176330 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | − 2.77053i | − 0.174874i | −0.996170 | − | 0.0874372i | \(-0.972132\pi\) | ||||
0.996170 | − | 0.0874372i | \(-0.0278677\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 33.8745i | 2.12967i | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −5.05034 | −0.315031 | −0.157516 | − | 0.987516i | \(-0.550348\pi\) | ||||
−0.157516 | + | 0.987516i | \(0.550348\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 17.5830i | 1.09255i | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 17.3252 | 1.06832 | 0.534158 | − | 0.845384i | \(-0.320629\pi\) | ||||
0.534158 | + | 0.845384i | \(0.320629\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 6.58301 | 0.404391 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 10.3460i | 0.630809i | 0.948957 | + | 0.315405i | \(0.102140\pi\) | ||||
−0.948957 | + | 0.315405i | \(0.897860\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −5.22876 | −0.317624 | −0.158812 | − | 0.987309i | \(-0.550766\pi\) | ||||
−0.158812 | + | 0.987309i | \(0.550766\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 16.7816i | 1.01197i | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | − 19.2915i | − 1.15911i | −0.814932 | − | 0.579557i | \(-0.803226\pi\) | ||||
0.814932 | − | 0.579557i | \(-0.196774\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 5.05034 | 0.301278 | 0.150639 | − | 0.988589i | \(-0.451867\pi\) | ||||
0.150639 | + | 0.988589i | \(0.451867\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 16.7085i | 0.993217i | 0.867975 | + | 0.496609i | \(0.165422\pi\) | ||||
−0.867975 | + | 0.496609i | \(0.834578\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −16.2381 | −0.958505 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 14.2915 | 0.840677 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 5.29570i | 0.309378i | 0.987963 | + | 0.154689i | \(0.0494376\pi\) | ||||
−0.987963 | + | 0.154689i | \(0.950562\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −6.12549 | −0.356640 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | − 5.59388i | − 0.323502i | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 19.2915i | 1.11194i | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 11.7313 | 0.671733 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − 21.8745i | − 1.24844i | −0.781247 | − | 0.624222i | \(-0.785416\pi\) | ||||
0.781247 | − | 0.624222i | \(-0.214584\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 8.66259 | 0.491211 | 0.245605 | − | 0.969370i | \(-0.421013\pi\) | ||||
0.245605 | + | 0.969370i | \(0.421013\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −16.8745 | −0.953804 | −0.476902 | − | 0.878957i | \(-0.658240\pi\) | ||||
−0.476902 | + | 0.878957i | \(0.658240\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | − 31.8798i | − 1.79055i | −0.445514 | − | 0.895275i | \(-0.646979\pi\) | ||||
0.445514 | − | 0.895275i | \(-0.353021\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −30.5830 | −1.71232 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 24.0062i | 1.33574i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | − 2.77124i | − 0.153721i | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −6.68097 | −0.368334 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | − 16.2915i | − 0.895462i | −0.894168 | − | 0.447731i | \(-0.852232\pi\) | ||||
0.894168 | − | 0.447731i | \(-0.147768\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 2.52517 | 0.137965 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −8.29150 | −0.451667 | −0.225833 | − | 0.974166i | \(-0.572511\pi\) | ||||
−0.225833 | + | 0.974166i | \(0.572511\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | − 7.82087i | − 0.423524i | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 18.5203 | 1.00000 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 26.8295i | 1.44028i | 0.693827 | + | 0.720142i | \(0.255923\pi\) | ||||
−0.693827 | + | 0.720142i | \(0.744077\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 5.35425i | 0.286606i | 0.989679 | + | 0.143303i | \(0.0457724\pi\) | ||||
−0.989679 | + | 0.143303i | \(0.954228\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 23.4626 | 1.24879 | 0.624394 | − | 0.781109i | \(-0.285346\pi\) | ||||
0.624394 | + | 0.781109i | \(0.285346\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 3.61226 | 0.190648 | 0.0953238 | − | 0.995446i | \(-0.469611\pi\) | ||||
0.0953238 | + | 0.995446i | \(0.469611\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 0.583005 | 0.0306845 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 8.06623i | 0.422206i | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 32.5203 | 1.69754 | 0.848772 | − | 0.528759i | \(-0.177343\pi\) | ||||
0.848772 | + | 0.528759i | \(0.177343\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | − 20.6921i | − 1.07428i | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | − 1.47974i | − 0.0766181i | −0.999266 | − | 0.0383090i | \(-0.987803\pi\) | ||||
0.999266 | − | 0.0383090i | \(-0.0121971\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 5.05034 | 0.260106 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 0.416995i | 0.0214196i | 0.999943 | + | 0.0107098i | \(0.00340910\pi\) | ||||
−0.999943 | + | 0.0107098i | \(0.996591\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 5.05034 | 0.258060 | 0.129030 | − | 0.991641i | \(-0.458814\pi\) | ||||
0.129030 | + | 0.991641i | \(0.458814\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −8.70850 | −0.443826 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 16.4835i | 0.835745i | 0.908506 | + | 0.417872i | \(0.137224\pi\) | ||||
−0.908506 | + | 0.417872i | \(0.862776\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 48.4575 | 2.45060 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | − 2.82335i | − 0.142058i | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 4.70850i | 0.236313i | 0.992995 | + | 0.118156i | \(0.0376984\pi\) | ||||
−0.992995 | + | 0.118156i | \(0.962302\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −23.4626 | −1.17167 | −0.585833 | − | 0.810431i | \(-0.699233\pi\) | ||||
−0.585833 | + | 0.810431i | \(0.699233\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 1.29150i | 0.0643343i | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 25.9878 | 1.28817 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −2.29150 | −0.113308 | −0.0566538 | − | 0.998394i | \(-0.518043\pi\) | ||||
−0.0566538 | + | 0.998394i | \(0.518043\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 19.2540i | 0.947427i | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 8.00000 | 0.392705 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 3.91044i | 0.191037i | 0.995428 | + | 0.0955186i | \(0.0304509\pi\) | ||||
−0.995428 | + | 0.0955186i | \(0.969549\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | − 17.3542i | − 0.845794i | −0.906178 | − | 0.422897i | \(-0.861013\pi\) | ||||
0.906178 | − | 0.422897i | \(-0.138987\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 24.0062 | 1.16447 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | − 36.8745i | − 1.78448i | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 7.57551 | 0.364899 | 0.182450 | − | 0.983215i | \(-0.441597\pi\) | ||||
0.182450 | + | 0.983215i | \(0.441597\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −31.8745 | −1.53179 | −0.765896 | − | 0.642965i | \(-0.777704\pi\) | ||||
−0.765896 | + | 0.642965i | \(0.777704\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 37.1755i | 1.77835i | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −31.1660 | −1.48747 | −0.743736 | − | 0.668473i | \(-0.766948\pi\) | ||||
−0.743736 | + | 0.668473i | \(0.766948\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 10.5914i | 0.503213i | 0.967830 | + | 0.251606i | \(0.0809588\pi\) | ||||
−0.967830 | + | 0.251606i | \(0.919041\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 4.70850i | 0.223204i | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 35.1939 | 1.66090 | 0.830452 | − | 0.557091i | \(-0.188082\pi\) | ||||
0.830452 | + | 0.557091i | \(0.188082\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 24.0000i | 1.13012i | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 1.43808 | 0.0674183 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −7.87451 | −0.368354 | −0.184177 | − | 0.982893i | \(-0.558962\pi\) | ||||
−0.184177 | + | 0.982893i | \(0.558962\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | − 13.1166i | − 0.610900i | −0.952208 | − | 0.305450i | \(-0.901193\pi\) | ||||
0.952208 | − | 0.305450i | \(-0.0988068\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −4.77124 | −0.221738 | −0.110869 | − | 0.993835i | \(-0.535363\pi\) | ||||
−0.110869 | + | 0.993835i | \(0.535363\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | − 13.4148i | − 0.620761i | −0.950612 | − | 0.310380i | \(-0.899544\pi\) | ||||
0.950612 | − | 0.310380i | \(-0.100456\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | − 7.93725i | − 0.366508i | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 28.5129 | 1.31103 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 18.4170i | 0.845030i | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 35.7375 | 1.63289 | 0.816443 | − | 0.577426i | \(-0.195943\pi\) | ||||
0.816443 | + | 0.577426i | \(0.195943\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −4.29150 | −0.195676 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 6.97915i | 0.316907i | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −21.9373 | −0.994072 | −0.497036 | − | 0.867730i | \(-0.665578\pi\) | ||||
−0.497036 | + | 0.867730i | \(0.665578\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 21.2356i | 0.958350i | 0.877719 | + | 0.479175i | \(0.159064\pi\) | ||||
−0.877719 | + | 0.479175i | \(0.840936\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 43.7490i | 1.97036i | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 19.7490i | 0.884087i | 0.896994 | + | 0.442044i | \(0.145746\pi\) | ||||
−0.896994 | + | 0.442044i | \(0.854254\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 25.9878 | 1.15874 | 0.579369 | − | 0.815065i | \(-0.303299\pi\) | ||||
0.579369 | + | 0.815065i | \(0.303299\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 1.41699 | 0.0630554 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 43.9093i | 1.94625i | 0.230285 | + | 0.973123i | \(0.426034\pi\) | ||||
−0.230285 | + | 0.973123i | \(0.573966\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 25.3542 | 1.12161 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | − 8.96077i | − 0.394859i | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 9.87451i | 0.434280i | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −16.7816 | −0.735217 | −0.367609 | − | 0.929981i | \(-0.619823\pi\) | ||||
−0.367609 | + | 0.929981i | \(0.619823\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | − 30.8745i | − 1.35005i | −0.737796 | − | 0.675024i | \(-0.764133\pi\) | ||||
0.737796 | − | 0.675024i | \(-0.235867\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −11.1878 | −0.487347 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 52.0405 | 2.26263 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | − 3.96325i | − 0.171667i | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 7.54249 | 0.326090 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | − 10.5203i | − 0.452301i | −0.974092 | − | 0.226151i | \(-0.927386\pi\) | ||||
0.974092 | − | 0.226151i | \(-0.0726142\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 3.96325 | 0.169767 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | − 11.5830i | − 0.495254i | −0.968856 | − | 0.247627i | \(-0.920349\pi\) | ||||
0.968856 | − | 0.247627i | \(-0.0796507\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −33.5633 | −1.42984 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −8.87451 | −0.377382 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | − 18.1669i | − 0.769757i | −0.922967 | − | 0.384878i | \(-0.874243\pi\) | ||||
0.922967 | − | 0.384878i | \(-0.125757\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −4.70850 | −0.199148 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 34.0540i | 1.43521i | 0.696453 | + | 0.717603i | \(0.254761\pi\) | ||||
−0.696453 | + | 0.717603i | \(0.745239\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | − 9.87451i | − 0.415424i | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 6.68097 | 0.280081 | 0.140040 | − | 0.990146i | \(-0.455277\pi\) | ||||
0.140040 | + | 0.990146i | \(0.455277\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 16.2915i | 0.681778i | 0.940104 | + | 0.340889i | \(0.110728\pi\) | ||||
−0.940104 | + | 0.340889i | \(0.889272\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 37.1755 | 1.55033 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 2.41699 | 0.100621 | 0.0503104 | − | 0.998734i | \(-0.483979\pi\) | ||||
0.0503104 | + | 0.998734i | \(0.483979\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | − 25.1461i | − 1.04323i | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −30.5830 | −1.26662 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | − 25.6896i | − 1.06032i | −0.847897 | − | 0.530162i | \(-0.822131\pi\) | ||||
0.847897 | − | 0.530162i | \(-0.177869\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | − 8.58301i | − 0.353657i | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −18.4123 | −0.756101 | −0.378051 | − | 0.925785i | \(-0.623406\pi\) | ||||
−0.378051 | + | 0.925785i | \(0.623406\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 12.4575i | 0.510708i | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −35.7375 | −1.46019 | −0.730097 | − | 0.683344i | \(-0.760525\pi\) | ||||
−0.730097 | + | 0.683344i | \(0.760525\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −0.125492 | −0.00511893 | −0.00255947 | − | 0.999997i | \(-0.500815\pi\) | ||||
−0.00255947 | + | 0.999997i | \(0.500815\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 3.61226i | 0.146859i | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −38.6458 | −1.56858 | −0.784291 | − | 0.620393i | \(-0.786973\pi\) | ||||
−0.784291 | + | 0.620393i | \(0.786973\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | − 1.63063i | − 0.0659683i | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | − 37.1033i | − 1.49859i | −0.662238 | − | 0.749293i | \(-0.730393\pi\) | ||||
0.662238 | − | 0.749293i | \(-0.269607\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −17.8687 | −0.719368 | −0.359684 | − | 0.933074i | \(-0.617115\pi\) | ||||
−0.359684 | + | 0.933074i | \(0.617115\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | − 39.0000i | − 1.56754i | −0.621050 | − | 0.783771i | \(-0.713294\pi\) | ||||
0.621050 | − | 0.783771i | \(-0.286706\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 14.8000 | 0.592950 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 14.8745 | 0.594980 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | − 37.1755i | − 1.48229i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 7.22876 | 0.287772 | 0.143886 | − | 0.989594i | \(-0.454040\pi\) | ||||
0.143886 | + | 0.989594i | \(0.454040\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | − 4.45398i | − 0.176751i | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 12.2748 | 0.484827 | 0.242414 | − | 0.970173i | \(-0.422061\pi\) | ||||
0.242414 | + | 0.970173i | \(0.422061\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 16.7085i | 0.658919i | 0.944170 | + | 0.329459i | \(0.106866\pi\) | ||||
−0.944170 | + | 0.329459i | \(0.893134\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −18.4123 | −0.723861 | −0.361931 | − | 0.932205i | \(-0.617882\pi\) | ||||
−0.361931 | + | 0.932205i | \(0.617882\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 28.4575 | 1.11706 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 2.77053i | 0.108419i | 0.998530 | + | 0.0542097i | \(0.0172639\pi\) | ||||
−0.998530 | + | 0.0542097i | \(0.982736\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −11.7490 | −0.459072 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 20.6921i | 0.806049i | 0.915189 | + | 0.403024i | \(0.132041\pi\) | ||||
−0.915189 | + | 0.403024i | \(0.867959\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | − 22.5203i | − 0.875937i | −0.898990 | − | 0.437968i | \(-0.855698\pi\) | ||||
0.898990 | − | 0.437968i | \(-0.144302\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −9.55713 | −0.370610 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 67.7490i | 2.62325i | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −54.5007 | −2.10398 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −9.12549 | −0.351762 | −0.175881 | − | 0.984411i | \(-0.556277\pi\) | ||||
−0.175881 | + | 0.984411i | \(0.556277\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | − 36.5792i | − 1.40585i | −0.711263 | − | 0.702926i | \(-0.751876\pi\) | ||||
0.711263 | − | 0.702926i | \(-0.248124\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 21.9373 | 0.841875 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 4.45398i | 0.170427i | 0.996363 | + | 0.0852134i | \(0.0271572\pi\) | ||||
−0.996363 | + | 0.0852134i | \(0.972843\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 9.87451i | 0.377286i | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 5.05034 | 0.192403 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | − 16.7085i | − 0.635621i | −0.948154 | − | 0.317811i | \(-0.897052\pi\) | ||||
0.948154 | − | 0.317811i | \(-0.102948\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −1.43808 | −0.0545495 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 34.3320 | 1.30042 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 4.20861i | 0.158957i | 0.996837 | + | 0.0794786i | \(0.0253255\pi\) | ||||
−0.996837 | + | 0.0794786i | \(0.974674\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 28.5203 | 1.07566 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | − 4.45398i | − 0.167509i | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 40.5203i | 1.52177i | 0.648887 | + | 0.760885i | \(0.275235\pi\) | ||||
−0.648887 | + | 0.760885i | \(0.724765\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −17.3252 | −0.648833 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | − 2.12549i | − 0.0794889i | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −3.96325 | −0.147804 | −0.0739021 | − | 0.997265i | \(-0.523545\pi\) | ||||
−0.0739021 | + | 0.997265i | \(0.523545\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −28.1660 | −1.04896 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 33.5633i | 1.24651i | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −23.4170 | −0.868488 | −0.434244 | − | 0.900795i | \(-0.642984\pi\) | ||||
−0.434244 | + | 0.900795i | \(0.642984\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | − 40.7878i | − 1.50859i | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | − 24.4575i | − 0.903359i | −0.892180 | − | 0.451679i | \(-0.850825\pi\) | ||||
0.892180 | − | 0.451679i | \(-0.149175\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −11.7313 | −0.432128 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 12.4575i | 0.458257i | 0.973396 | + | 0.229129i | \(0.0735876\pi\) | ||||
−0.973396 | + | 0.229129i | \(0.926412\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 38.2626 | 1.40372 | 0.701860 | − | 0.712315i | \(-0.252353\pi\) | ||||
0.701860 | + | 0.712315i | \(0.252353\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −13.1660 | −0.482365 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | − 23.7080i | − 0.866271i | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −39.9373 | −1.45733 | −0.728666 | − | 0.684870i | \(-0.759859\pi\) | ||||
−0.728666 | + | 0.684870i | \(0.759859\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 6.19024i | 0.225286i | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 1.93725i | 0.0704107i | 0.999380 | + | 0.0352053i | \(0.0112085\pi\) | ||||
−0.999380 | + | 0.0352053i | \(0.988791\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −51.4320 | −1.86441 | −0.932205 | − | 0.361932i | \(-0.882117\pi\) | ||||
−0.932205 | + | 0.361932i | \(0.882117\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | − 12.4575i | − 0.450992i | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −4.69934 | −0.169683 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −6.16601 | −0.222352 | −0.111176 | − | 0.993801i | \(-0.535462\pi\) | ||||
−0.111176 | + | 0.993801i | \(0.535462\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 25.1461i | 0.904441i | 0.891906 | + | 0.452220i | \(0.149368\pi\) | ||||
−0.891906 | + | 0.452220i | \(0.850632\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −8.58301 | −0.308311 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 26.3388i | 0.943684i | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0 | 0 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 16.2381 | 0.579563 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | − 44.6235i | − 1.59066i | −0.606179 | − | 0.795328i | \(-0.707298\pi\) | ||||
0.606179 | − | 0.795328i | \(-0.292702\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −31.0381 | −1.10359 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 9.00000 | 0.319599 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | − 22.8663i | − 0.809964i | −0.914325 | − | 0.404982i | \(-0.867278\pi\) | ||||
0.914325 | − | 0.404982i | \(-0.132722\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 14.1255 | 0.499724 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | − 37.4737i | − 1.32242i | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 19.2915i | 0.679936i | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − 31.2915i | − 1.09879i | −0.835562 | − | 0.549397i | \(-0.814858\pi\) | ||||
0.835562 | − | 0.549397i | \(-0.185142\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −3.61226 | −0.126532 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 31.2915 | 1.09475 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | − 14.2037i | − 0.495711i | −0.968797 | − | 0.247856i | \(-0.920274\pi\) | ||||
0.968797 | − | 0.247856i | \(-0.0797258\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 35.9373 | 1.25269 | 0.626347 | − | 0.779544i | \(-0.284549\pi\) | ||||
0.626347 | + | 0.779544i | \(0.284549\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | − 34.7032i | − 1.20675i | −0.797458 | − | 0.603374i | \(-0.793823\pi\) | ||||
0.797458 | − | 0.603374i | \(-0.206177\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | − 33.2288i | − 1.15408i | −0.816715 | − | 0.577041i | \(-0.804207\pi\) | ||||
0.816715 | − | 0.577041i | \(-0.195793\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 11.5425i | 0.399444i | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −1.08709 | −0.0375304 | −0.0187652 | − | 0.999824i | \(-0.505974\pi\) | ||||
−0.0187652 | + | 0.999824i | \(0.505974\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −32.1660 | −1.10917 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | − 10.5914i | − 0.364355i | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 11.3542 | 0.390137 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | − 57.5694i | − 1.97345i | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 17.8118i | 0.609863i | 0.952374 | + | 0.304932i | \(0.0986336\pi\) | ||||
−0.952374 | + | 0.304932i | \(0.901366\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −10.1007 | −0.345032 | −0.172516 | − | 0.985007i | \(-0.555190\pi\) | ||||
−0.172516 | + | 0.985007i | \(0.555190\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 47.5830i | 1.62351i | 0.583997 | + | 0.811756i | \(0.301488\pi\) | ||||
−0.583997 | + | 0.811756i | \(0.698512\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −44.4001 | −1.51140 | −0.755698 | − | 0.654921i | \(-0.772702\pi\) | ||||
−0.755698 | + | 0.654921i | \(0.772702\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 10.8340 | 0.368367 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 13.1166i | 0.444949i | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 1.93725 | 0.0656413 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 20.6921i | 0.699520i | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 20.3948i | 0.688682i | 0.938845 | + | 0.344341i | \(0.111898\pi\) | ||||
−0.938845 | + | 0.344341i | \(0.888102\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −39.1572 | −1.31924 | −0.659619 | − | 0.751600i | \(-0.729282\pi\) | ||||
−0.659619 | + | 0.751600i | \(0.729282\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | − 26.1660i | − 0.880556i | −0.897861 | − | 0.440278i | \(-0.854880\pi\) | ||||
0.897861 | − | 0.440278i | \(-0.145120\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −28.5129 | −0.957371 | −0.478686 | − | 0.877986i | \(-0.658887\pi\) | ||||
−0.478686 | + | 0.877986i | \(0.658887\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −14.0000 | −0.469545 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 10.8368i | 0.362639i | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −16.0000 | −0.534821 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | − 15.6417i | − 0.521681i | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 43.7490i | 1.45749i | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −9.55713 | −0.317690 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 18.0405i | 0.599026i | 0.954092 | + | 0.299513i | \(0.0968241\pi\) | ||||
−0.954092 | + | 0.299513i | \(0.903176\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −38.6136 | −1.27933 | −0.639663 | − | 0.768655i | \(-0.720926\pi\) | ||||
−0.639663 | + | 0.768655i | \(0.720926\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −37.1660 | −1.23002 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 36.9302i | 1.21954i | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 0.583005 | 0.0192316 | 0.00961578 | − | 0.999954i | \(-0.496939\pi\) | ||||
0.00961578 | + | 0.999954i | \(0.496939\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 0 | 0 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | − 28.5203i | − 0.937740i | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −58.1130 | −1.90663 | −0.953313 | − | 0.301985i | \(-0.902351\pi\) | ||||
−0.953313 | + | 0.301985i | \(0.902351\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 18.4123 | 0.602146 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −40.8745 | −1.33531 | −0.667656 | − | 0.744470i | \(-0.732702\pi\) | ||||
−0.667656 | + | 0.744470i | \(0.732702\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | − 23.2172i | − 0.756861i | −0.925630 | − | 0.378430i | \(-0.876464\pi\) | ||||
0.925630 | − | 0.378430i | \(-0.123536\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 53.1660 | 1.73132 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | − 14.5018i | − 0.471246i | −0.971844 | − | 0.235623i | \(-0.924287\pi\) | ||||
0.971844 | − | 0.235623i | \(-0.0757131\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 6.18824i | 0.200879i | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 50.3449 | 1.63083 | 0.815416 | − | 0.578875i | \(-0.196508\pi\) | ||||
0.815416 | + | 0.578875i | \(0.196508\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 16.7085i | 0.540674i | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 31.0381 | 1.00227 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −27.0000 | −0.870968 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | − 5.29570i | − 0.170475i | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 53.9373 | 1.73451 | 0.867253 | − | 0.497868i | \(-0.165884\pi\) | ||||
0.867253 | + | 0.497868i | \(0.165884\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 8.96077i | 0.287565i | 0.989609 | + | 0.143782i | \(0.0459265\pi\) | ||||
−0.989609 | + | 0.143782i | \(0.954073\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 4.52026i | 0.144913i | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −16.2381 | −0.519503 | −0.259751 | − | 0.965676i | \(-0.583641\pi\) | ||||
−0.259751 | + | 0.965676i | \(0.583641\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | − 21.8745i | − 0.699112i | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 24.9007 | 0.794209 | 0.397104 | − | 0.917773i | \(-0.370015\pi\) | ||||
0.397104 | + | 0.917773i | \(0.370015\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −5.87451 | −0.187177 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | − 63.1633i | − 2.00848i | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −6.06275 | −0.192589 | −0.0962947 | − | 0.995353i | \(-0.530699\pi\) | ||||
−0.0962947 | + | 0.995353i | \(0.530699\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 15.5889i | 0.494202i | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | − 9.87451i | − 0.312729i | −0.987699 | − | 0.156364i | \(-0.950023\pi\) | ||||
0.987699 | − | 0.156364i | \(-0.0499774\pi\) | |||||||
\(998\) | 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 \(a_p\))