Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [2400,2,Mod(1201,2400)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(2400, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1, 0, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("2400.1201");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 2400 = 2^{5} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 2400.k (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: | \(19.1640964851\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Coefficient field: | 8.0.214798336.3 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - 2x^{7} - 2x^{5} + 9x^{4} - 4x^{3} - 16x + 16 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 2^{6} \) |
Twist minimal: | no (minimal twist has level 600) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 1201.6 | ||
Root | \(-1.08003 + 0.912978i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 2400.1201 |
Dual form | 2400.2.k.d.1201.2 |
$q$-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 \(\left(\mathbb{Z}/2400\mathbb{Z}\right)^\times\).
\(n\) | \(577\) | \(901\) | \(1601\) | \(1951\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(1\) | \(1\) |
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 | ||||||||
\(3\) | 1.00000i | 0.577350i | ||||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.33411 | −0.504247 | −0.252123 | − | 0.967695i | \(-0.581129\pi\) | ||||
−0.252123 | + | 0.967695i | \(0.581129\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 2.94418i | 0.887705i | 0.896100 | + | 0.443853i | \(0.146389\pi\) | ||||
−0.896100 | + | 0.443853i | \(0.853611\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.04184i | 0.566304i | 0.959075 | + | 0.283152i | \(0.0913800\pi\) | ||||
−0.959075 | + | 0.283152i | \(0.908620\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 3.61241 | 0.876138 | 0.438069 | − | 0.898941i | \(-0.355663\pi\) | ||||
0.438069 | + | 0.898941i | \(0.355663\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 5.35964i | 1.22958i | 0.788689 | + | 0.614792i | \(0.210760\pi\) | ||||
−0.788689 | + | 0.614792i | \(0.789240\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | − 1.33411i | − 0.291127i | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −8.59609 | −1.79241 | −0.896205 | − | 0.443641i | \(-0.853687\pi\) | ||||
−0.896205 | + | 0.443641i | \(0.853687\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | − 1.00000i | − 0.192450i | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | − 5.26432i | − 0.977559i | −0.872407 | − | 0.488780i | \(-0.837442\pi\) | ||||
0.872407 | − | 0.488780i | \(-0.162558\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 2.08134 | 0.373820 | 0.186910 | − | 0.982377i | \(-0.440153\pi\) | ||||
0.186910 | + | 0.982377i | \(0.440153\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −2.94418 | −0.512517 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | − 6.55659i | − 1.07790i | −0.842339 | − | 0.538949i | \(-0.818822\pi\) | ||||
0.842339 | − | 0.538949i | \(-0.181178\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −2.04184 | −0.326956 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 7.02786 | 1.09757 | 0.548784 | − | 0.835964i | \(-0.315091\pi\) | ||||
0.548784 | + | 0.835964i | \(0.315091\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | − 8.50078i | − 1.29636i | −0.761489 | − | 0.648178i | \(-0.775531\pi\) | ||||
0.761489 | − | 0.648178i | \(-0.224469\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −9.97204 | −1.45457 | −0.727286 | − | 0.686334i | \(-0.759219\pi\) | ||||
−0.727286 | + | 0.686334i | \(0.759219\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −5.22015 | −0.745735 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 3.61241i | 0.505838i | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 6.12318i | 0.841083i | 0.907273 | + | 0.420541i | \(0.138160\pi\) | ||||
−0.907273 | + | 0.420541i | \(0.861840\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −5.35964 | −0.709901 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 4.75190i | 0.618644i | 0.950957 | + | 0.309322i | \(0.100102\pi\) | ||||
−0.950957 | + | 0.309322i | \(0.899898\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 8.51476i | 1.09020i | 0.838370 | + | 0.545101i | \(0.183509\pi\) | ||||
−0.838370 | + | 0.545101i | \(0.816491\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 1.33411 | 0.168082 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 10.6961i | 1.30673i | 0.757041 | + | 0.653367i | \(0.226644\pi\) | ||||
−0.757041 | + | 0.653367i | \(0.773356\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | − 8.59609i | − 1.03485i | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 2.62405 | 0.311418 | 0.155709 | − | 0.987803i | \(-0.450234\pi\) | ||||
0.155709 | + | 0.987803i | \(0.450234\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −15.3875 | −1.80097 | −0.900485 | − | 0.434887i | \(-0.856788\pi\) | ||||
−0.900485 | + | 0.434887i | \(0.856788\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | − 3.92787i | − 0.447622i | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −10.4450 | −1.17515 | −0.587575 | − | 0.809170i | \(-0.699917\pi\) | ||||
−0.587575 | + | 0.809170i | \(0.699917\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 1.52708i | 0.167619i | 0.996482 | + | 0.0838095i | \(0.0267087\pi\) | ||||
−0.996482 | + | 0.0838095i | \(0.973291\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 5.26432 | 0.564394 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −12.7193 | −1.34824 | −0.674120 | − | 0.738622i | \(-0.735477\pi\) | ||||
−0.674120 | + | 0.738622i | \(0.735477\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | − 2.72404i | − 0.285557i | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 2.08134i | 0.215825i | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −13.4450 | −1.36513 | −0.682565 | − | 0.730825i | \(-0.739135\pi\) | ||||
−0.682565 | + | 0.730825i | \(0.739135\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | − 2.94418i | − 0.295902i | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | − 10.1232i | − 1.00729i | −0.863910 | − | 0.503647i | \(-0.831991\pi\) | ||||
0.863910 | − | 0.503647i | \(-0.168009\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −10.7472 | −1.05896 | −0.529478 | − | 0.848324i | \(-0.677612\pi\) | ||||
−0.529478 | + | 0.848324i | \(0.677612\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | − 4.86518i | − 0.470335i | −0.971955 | − | 0.235167i | \(-0.924436\pi\) | ||||
0.971955 | − | 0.235167i | \(-0.0755638\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 15.4573i | 1.48054i | 0.672310 | + | 0.740270i | \(0.265302\pi\) | ||||
−0.672310 | + | 0.740270i | \(0.734698\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 6.55659 | 0.622324 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −9.88837 | −0.930220 | −0.465110 | − | 0.885253i | \(-0.653985\pi\) | ||||
−0.465110 | + | 0.885253i | \(0.653985\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | − 2.04184i | − 0.188768i | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −4.81936 | −0.441790 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 2.33178 | 0.211980 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 7.02786i | 0.633681i | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 8.75190 | 0.776605 | 0.388303 | − | 0.921532i | \(-0.373062\pi\) | ||||
0.388303 | + | 0.921532i | \(0.373062\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 8.50078 | 0.748452 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | − 0.471266i | − 0.0411747i | −0.999788 | − | 0.0205874i | \(-0.993446\pi\) | ||||
0.999788 | − | 0.0205874i | \(-0.00655362\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | − 7.15035i | − 0.620014i | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 1.30382 | 0.111393 | 0.0556964 | − | 0.998448i | \(-0.482262\pi\) | ||||
0.0556964 | + | 0.998448i | \(0.482262\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 8.74723i | 0.741930i | 0.928647 | + | 0.370965i | \(0.120973\pi\) | ||||
−0.928647 | + | 0.370965i | \(0.879027\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | − 9.97204i | − 0.839798i | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −6.01155 | −0.502711 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | − 5.22015i | − 0.430550i | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | − 15.1411i | − 1.24041i | −0.784439 | − | 0.620205i | \(-0.787049\pi\) | ||||
0.784439 | − | 0.620205i | \(-0.212951\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 23.2782 | 1.89435 | 0.947176 | − | 0.320713i | \(-0.103922\pi\) | ||||
0.947176 | + | 0.320713i | \(0.103922\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −3.61241 | −0.292046 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 21.8976i | 1.74762i | 0.486270 | + | 0.873809i | \(0.338357\pi\) | ||||
−0.486270 | + | 0.873809i | \(0.661643\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −6.12318 | −0.485599 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 11.4682 | 0.903817 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | − 11.1643i | − 0.874458i | −0.899350 | − | 0.437229i | \(-0.855960\pi\) | ||||
0.899350 | − | 0.437229i | \(-0.144040\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −10.0952 | −0.781192 | −0.390596 | − | 0.920562i | \(-0.627731\pi\) | ||||
−0.390596 | + | 0.920562i | \(0.627731\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 8.83090 | 0.679300 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | − 5.35964i | − 0.409862i | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | − 13.8162i | − 1.05043i | −0.850970 | − | 0.525215i | \(-0.823985\pi\) | ||||
0.850970 | − | 0.525215i | \(-0.176015\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −4.75190 | −0.357174 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | − 21.9441i | − 1.64018i | −0.572236 | − | 0.820089i | \(-0.693924\pi\) | ||||
0.572236 | − | 0.820089i | \(-0.306076\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 1.93021i | 0.143471i | 0.997424 | + | 0.0717356i | \(0.0228538\pi\) | ||||
−0.997424 | + | 0.0717356i | \(0.977146\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −8.51476 | −0.629429 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 10.6356i | 0.777752i | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 1.33411i | 0.0970423i | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −12.1232 | −0.877202 | −0.438601 | − | 0.898682i | \(-0.644526\pi\) | ||||
−0.438601 | + | 0.898682i | \(0.644526\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −1.27431 | −0.0917267 | −0.0458634 | − | 0.998948i | \(-0.514604\pi\) | ||||
−0.0458634 | + | 0.998948i | \(0.514604\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 3.30849i | 0.235720i | 0.993030 | + | 0.117860i | \(0.0376034\pi\) | ||||
−0.993030 | + | 0.117860i | \(0.962397\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −9.02718 | −0.639920 | −0.319960 | − | 0.947431i | \(-0.603669\pi\) | ||||
−0.319960 | + | 0.947431i | \(0.603669\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −10.6961 | −0.754443 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 7.02319i | 0.492931i | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 8.59609 | 0.597470 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −15.7798 | −1.09151 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 6.61241i | 0.455217i | 0.973753 | + | 0.227608i | \(0.0730906\pi\) | ||||
−0.973753 | + | 0.227608i | \(0.926909\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 2.62405i | 0.179797i | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −2.77674 | −0.188497 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | − 15.3875i | − 1.03979i | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 7.37595i | 0.496160i | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −0.833237 | −0.0557976 | −0.0278988 | − | 0.999611i | \(-0.508882\pi\) | ||||
−0.0278988 | + | 0.999611i | \(0.508882\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | − 10.9999i | − 0.730089i | −0.930990 | − | 0.365045i | \(-0.881054\pi\) | ||||
0.930990 | − | 0.365045i | \(-0.118946\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 15.2061i | 1.00485i | 0.864622 | + | 0.502423i | \(0.167558\pi\) | ||||
−0.864622 | + | 0.502423i | \(0.832442\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 3.92787 | 0.258435 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 2.47594 | 0.162204 | 0.0811020 | − | 0.996706i | \(-0.474156\pi\) | ||||
0.0811020 | + | 0.996706i | \(0.474156\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | − 10.4450i | − 0.678473i | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 21.0737 | 1.36314 | 0.681572 | − | 0.731751i | \(-0.261297\pi\) | ||||
0.681572 | + | 0.731751i | \(0.261297\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −6.10852 | −0.393484 | −0.196742 | − | 0.980455i | \(-0.563036\pi\) | ||||
−0.196742 | + | 0.980455i | \(0.563036\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 1.00000i | 0.0641500i | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −10.9435 | −0.696318 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −1.52708 | −0.0967748 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | − 22.5286i | − 1.42199i | −0.703195 | − | 0.710997i | \(-0.748244\pi\) | ||||
0.703195 | − | 0.710997i | \(-0.251756\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | − 25.3085i | − 1.59113i | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 14.5286 | 0.906271 | 0.453136 | − | 0.891442i | \(-0.350305\pi\) | ||||
0.453136 | + | 0.891442i | \(0.350305\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 8.74723i | 0.543526i | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 5.26432i | 0.325853i | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −5.29694 | −0.326624 | −0.163312 | − | 0.986575i | \(-0.552218\pi\) | ||||
−0.163312 | + | 0.986575i | \(0.552218\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | − 12.7193i | − 0.778407i | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 27.0737i | 1.65071i | 0.564613 | + | 0.825356i | \(0.309025\pi\) | ||||
−0.564613 | + | 0.825356i | \(0.690975\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −15.8604 | −0.963451 | −0.481726 | − | 0.876322i | \(-0.659990\pi\) | ||||
−0.481726 | + | 0.876322i | \(0.659990\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 2.72404 | 0.164866 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 9.98592i | 0.599996i | 0.953940 | + | 0.299998i | \(0.0969860\pi\) | ||||
−0.953940 | + | 0.299998i | \(0.903014\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −2.08134 | −0.124607 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 13.4218 | 0.800676 | 0.400338 | − | 0.916368i | \(-0.368893\pi\) | ||||
0.400338 | + | 0.916368i | \(0.368893\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 3.83722i | 0.228099i | 0.993475 | + | 0.114050i | \(0.0363823\pi\) | ||||
−0.993475 | + | 0.114050i | \(0.963618\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −9.37595 | −0.553445 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −3.95051 | −0.232383 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | − 13.4450i | − 0.788158i | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 26.4450i | 1.54493i | 0.635057 | + | 0.772466i | \(0.280977\pi\) | ||||
−0.635057 | + | 0.772466i | \(0.719023\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 2.94418 | 0.170839 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | − 17.5518i | − 1.01505i | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 11.3410i | 0.653684i | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 10.1232 | 0.581561 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 1.27596i | 0.0728230i | 0.999337 | + | 0.0364115i | \(0.0115927\pi\) | ||||
−0.999337 | + | 0.0364115i | \(0.988407\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | − 10.7472i | − 0.611388i | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −2.44496 | −0.138641 | −0.0693205 | − | 0.997594i | \(-0.522083\pi\) | ||||
−0.0693205 | + | 0.997594i | \(0.522083\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 22.8325 | 1.29057 | 0.645283 | − | 0.763943i | \(-0.276739\pi\) | ||||
0.645283 | + | 0.763943i | \(0.276739\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 2.11163i | 0.118601i | 0.998240 | + | 0.0593005i | \(0.0188870\pi\) | ||||
−0.998240 | + | 0.0593005i | \(0.981113\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 15.4991 | 0.867784 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 4.86518 | 0.271548 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 19.3612i | 1.07729i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −15.4573 | −0.854790 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 13.3038 | 0.733463 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 23.2248i | 1.27655i | 0.769808 | + | 0.638276i | \(0.220352\pi\) | ||||
−0.769808 | + | 0.638276i | \(0.779648\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 6.55659i | 0.359299i | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 12.8884 | 0.702074 | 0.351037 | − | 0.936362i | \(-0.385829\pi\) | ||||
0.351037 | + | 0.936362i | \(0.385829\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | − 9.88837i | − 0.537063i | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 6.12785i | 0.331841i | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 16.3030 | 0.880281 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | − 6.79827i | − 0.364951i | −0.983210 | − | 0.182475i | \(-0.941589\pi\) | ||||
0.983210 | − | 0.182475i | \(-0.0584109\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 34.6076i | 1.85250i | 0.376904 | + | 0.926252i | \(0.376989\pi\) | ||||
−0.376904 | + | 0.926252i | \(0.623011\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 2.04184 | 0.108985 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 12.2433 | 0.651647 | 0.325823 | − | 0.945431i | \(-0.394358\pi\) | ||||
0.325823 | + | 0.945431i | \(0.394358\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | − 4.81936i | − 0.255067i | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 2.01622 | 0.106412 | 0.0532059 | − | 0.998584i | \(-0.483056\pi\) | ||||
0.0532059 | + | 0.998584i | \(0.483056\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −9.72569 | −0.511878 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 2.33178i | 0.122387i | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 13.4131 | 0.700159 | 0.350079 | − | 0.936720i | \(-0.386155\pi\) | ||||
0.350079 | + | 0.936720i | \(0.386155\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −7.02786 | −0.365856 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | − 8.16900i | − 0.424113i | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | − 10.0976i | − 0.522832i | −0.965226 | − | 0.261416i | \(-0.915811\pi\) | ||||
0.965226 | − | 0.261416i | \(-0.0841894\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 10.7489 | 0.553595 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 18.2775i | 0.938853i | 0.882972 | + | 0.469426i | \(0.155539\pi\) | ||||
−0.882972 | + | 0.469426i | \(0.844461\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 8.75190i | 0.448373i | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 11.7734 | 0.601594 | 0.300797 | − | 0.953688i | \(-0.402747\pi\) | ||||
0.300797 | + | 0.953688i | \(0.402747\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 8.50078i | 0.432119i | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | − 33.4270i | − 1.69482i | −0.530942 | − | 0.847408i | \(-0.678162\pi\) | ||||
0.530942 | − | 0.847408i | \(-0.321838\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −31.0526 | −1.57040 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0.471266 | 0.0237722 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 39.0434i | 1.95953i | 0.200147 | + | 0.979766i | \(0.435858\pi\) | ||||
−0.200147 | + | 0.979766i | \(0.564142\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 7.15035 | 0.357965 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −24.6140 | −1.22916 | −0.614581 | − | 0.788853i | \(-0.710675\pi\) | ||||
−0.614581 | + | 0.788853i | \(0.710675\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 4.24976i | 0.211695i | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 19.3038 | 0.956855 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −14.5024 | −0.717099 | −0.358550 | − | 0.933511i | \(-0.616729\pi\) | ||||
−0.358550 | + | 0.933511i | \(0.616729\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 1.30382i | 0.0643127i | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | − 6.33956i | − 0.311949i | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −8.74723 | −0.428354 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 12.6419i | 0.617598i | 0.951127 | + | 0.308799i | \(0.0999271\pi\) | ||||
−0.951127 | + | 0.308799i | \(0.900073\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | − 16.8389i | − 0.820677i | −0.911933 | − | 0.410338i | \(-0.865411\pi\) | ||||
0.911933 | − | 0.410338i | \(-0.134589\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 9.97204 | 0.484857 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | − 11.3596i | − 0.549731i | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | − 6.01155i | − 0.290240i | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −5.98845 | −0.288454 | −0.144227 | − | 0.989545i | \(-0.546070\pi\) | ||||
−0.144227 | + | 0.989545i | \(0.546070\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −2.22482 | −0.106918 | −0.0534589 | − | 0.998570i | \(-0.517025\pi\) | ||||
−0.0534589 | + | 0.998570i | \(0.517025\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | − 46.0719i | − 2.20392i | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 2.30460 | 0.109993 | 0.0549963 | − | 0.998487i | \(-0.482485\pi\) | ||||
0.0549963 | + | 0.998487i | \(0.482485\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 5.22015 | 0.248578 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | − 22.1347i | − 1.05165i | −0.850592 | − | 0.525826i | \(-0.823756\pi\) | ||||
0.850592 | − | 0.525826i | \(-0.176244\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 15.1411 | 0.716151 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 21.5861 | 1.01871 | 0.509356 | − | 0.860556i | \(-0.329884\pi\) | ||||
0.509356 | + | 0.860556i | \(0.329884\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 20.6913i | 0.974316i | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 23.2782i | 1.09371i | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −2.50088 | −0.116986 | −0.0584930 | − | 0.998288i | \(-0.518630\pi\) | ||||
−0.0584930 | + | 0.998288i | \(0.518630\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | − 3.61241i | − 0.168613i | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | − 2.59609i | − 0.120912i | −0.998171 | − | 0.0604561i | \(-0.980744\pi\) | ||||
0.998171 | − | 0.0604561i | \(-0.0192555\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 27.8604 | 1.29478 | 0.647392 | − | 0.762158i | \(-0.275860\pi\) | ||||
0.647392 | + | 0.762158i | \(0.275860\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | − 5.75200i | − 0.266171i | −0.991105 | − | 0.133085i | \(-0.957512\pi\) | ||||
0.991105 | − | 0.133085i | \(-0.0424884\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | − 14.2698i | − 0.658917i | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −21.8976 | −1.00899 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 25.0279 | 1.15078 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | − 6.12318i | − 0.280361i | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 12.5473 | 0.573299 | 0.286649 | − | 0.958036i | \(-0.407459\pi\) | ||||
0.286649 | + | 0.958036i | \(0.407459\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 13.3875 | 0.610417 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 11.4682i | 0.521819i | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 8.60530 | 0.389944 | 0.194972 | − | 0.980809i | \(-0.437538\pi\) | ||||
0.194972 | + | 0.980809i | \(0.437538\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 11.1643 | 0.504868 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 36.8866i | 1.66467i | 0.554273 | + | 0.832335i | \(0.312996\pi\) | ||||
−0.554273 | + | 0.832335i | \(0.687004\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | − 19.0169i | − 0.856477i | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −3.50078 | −0.157031 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 36.2496i | 1.62275i | 0.584524 | + | 0.811377i | \(0.301281\pi\) | ||||
−0.584524 | + | 0.811377i | \(0.698719\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | − 10.0952i | − 0.451021i | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 23.3527 | 1.04124 | 0.520622 | − | 0.853787i | \(-0.325700\pi\) | ||||
0.520622 | + | 0.853787i | \(0.325700\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 8.83090i | 0.392194i | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 3.35506i | 0.148711i | 0.997232 | + | 0.0743553i | \(0.0236899\pi\) | ||||
−0.997232 | + | 0.0743553i | \(0.976310\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 20.5286 | 0.908133 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 5.35964 | 0.236634 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | − 29.3595i | − 1.29123i | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 13.8162 | 0.606466 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −33.6029 | −1.47217 | −0.736084 | − | 0.676890i | \(-0.763327\pi\) | ||||
−0.736084 | + | 0.676890i | \(0.763327\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | − 0.965721i | − 0.0422280i | −0.999777 | − | 0.0211140i | \(-0.993279\pi\) | ||||
0.999777 | − | 0.0211140i | \(-0.00672130\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 7.51865 | 0.327517 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 50.8928 | 2.21273 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | − 4.75190i | − 0.206215i | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 14.3497i | 0.621556i | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 21.9441 | 0.946957 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | − 15.3691i | − 0.661993i | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 6.34877i | 0.272955i | 0.990643 | + | 0.136478i | \(0.0435781\pi\) | ||||
−0.990643 | + | 0.136478i | \(0.956422\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −1.93021 | −0.0828331 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 2.07433i | 0.0886921i | 0.999016 | + | 0.0443460i | \(0.0141204\pi\) | ||||
−0.999016 | + | 0.0443460i | \(0.985880\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | − 8.51476i | − 0.363401i | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 28.2148 | 1.20199 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 13.9347 | 0.592566 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 27.6931i | 1.17339i | 0.809807 | + | 0.586696i | \(0.199572\pi\) | ||||
−0.809807 | + | 0.586696i | \(0.800428\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 17.3572 | 0.734131 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −10.6356 | −0.449035 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | − 3.80771i | − 0.160476i | −0.996776 | − | 0.0802380i | \(-0.974432\pi\) | ||||
0.996776 | − | 0.0802380i | \(-0.0255680\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −1.33411 | −0.0560274 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 38.6371 | 1.61975 | 0.809875 | − | 0.586603i | \(-0.199535\pi\) | ||||
0.809875 | + | 0.586603i | \(0.199535\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | − 6.24976i | − 0.261544i | −0.991412 | − | 0.130772i | \(-0.958254\pi\) | ||||
0.991412 | − | 0.130772i | \(-0.0417456\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | − 12.1232i | − 0.506453i | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −2.17377 | −0.0904952 | −0.0452476 | − | 0.998976i | \(-0.514408\pi\) | ||||
−0.0452476 | + | 0.998976i | \(0.514408\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | − 1.27431i | − 0.0529585i | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | − 2.03730i | − 0.0845213i | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −18.0278 | −0.746634 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 34.1688i | 1.41030i | 0.709059 | + | 0.705149i | \(0.249120\pi\) | ||||
−0.709059 | + | 0.705149i | \(0.750880\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 11.1552i | 0.459643i | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −3.30849 | −0.136093 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 12.9952 | 0.533650 | 0.266825 | − | 0.963745i | \(-0.414025\pi\) | ||||
0.266825 | + | 0.963745i | \(0.414025\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | − 9.02718i | − 0.369458i | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −47.2572 | −1.93088 | −0.965439 | − | 0.260628i | \(-0.916071\pi\) | ||||
−0.965439 | + | 0.260628i | \(0.916071\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −23.5007 | −0.958613 | −0.479306 | − | 0.877648i | \(-0.659112\pi\) | ||||
−0.479306 | + | 0.877648i | \(0.659112\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | − 10.6961i | − 0.435578i | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 0.218591 | 0.00887233 | 0.00443617 | − | 0.999990i | \(-0.498588\pi\) | ||||
0.00443617 | + | 0.999990i | \(0.498588\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −7.02319 | −0.284594 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | − 20.3613i | − 0.823730i | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 35.7488i | 1.44388i | 0.691956 | + | 0.721940i | \(0.256749\pi\) | ||||
−0.691956 | + | 0.721940i | \(0.743251\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −33.0836 | −1.33189 | −0.665947 | − | 0.745999i | \(-0.731972\pi\) | ||||
−0.665947 | + | 0.745999i | \(0.731972\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 25.1084i | 1.00919i | 0.863355 | + | 0.504596i | \(0.168359\pi\) | ||||
−0.863355 | + | 0.504596i | \(0.831641\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 8.59609i | 0.344949i | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 16.9689 | 0.679846 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | − 15.7798i | − 0.630183i | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | − 23.6851i | − 0.944386i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −23.2829 | −0.926876 | −0.463438 | − | 0.886129i | \(-0.653384\pi\) | ||||
−0.463438 | + | 0.886129i | \(0.653384\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −6.61241 | −0.262820 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | − 10.6587i | − 0.422313i | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −2.62405 | −0.103806 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −38.3021 | −1.51284 | −0.756420 | − | 0.654086i | \(-0.773054\pi\) | ||||
−0.756420 | + | 0.654086i | \(0.773054\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | − 45.8045i | − 1.80635i | −0.429269 | − | 0.903177i | \(-0.641229\pi\) | ||||
0.429269 | − | 0.903177i | \(-0.358771\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 48.1114 | 1.89146 | 0.945728 | − | 0.324960i | \(-0.105351\pi\) | ||||
0.945728 | + | 0.324960i | \(0.105351\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −13.9905 | −0.549174 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | − 2.77674i | − 0.108829i | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 38.3331i | 1.50009i | 0.661386 | + | 0.750046i | \(0.269969\pi\) | ||||
−0.661386 | + | 0.750046i | \(0.730031\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 15.3875 | 0.600323 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 5.03253i | 0.196040i | 0.995184 | + | 0.0980198i | \(0.0312508\pi\) | ||||
−0.995184 | + | 0.0980198i | \(0.968749\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | − 17.4665i | − 0.679368i | −0.940540 | − | 0.339684i | \(-0.889680\pi\) | ||||
0.940540 | − | 0.339684i | \(-0.110320\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −7.37595 | −0.286458 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 45.2526i | 1.75219i | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | − 0.833237i | − 0.0322148i | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −25.0690 | −0.967779 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 32.4448 | 1.25065 | 0.625327 | − | 0.780363i | \(-0.284966\pi\) | ||||
0.625327 | + | 0.780363i | \(0.284966\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | − 8.07213i | − 0.310237i | −0.987896 | − | 0.155119i | \(-0.950424\pi\) | ||||
0.987896 | − | 0.155119i | \(-0.0495760\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 17.9371 | 0.688362 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 10.9999 | 0.421517 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 36.3380i | 1.39043i | 0.718799 | + | 0.695217i | \(0.244692\pi\) | ||||
−0.718799 | + | 0.695217i | \(0.755308\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −15.2061 | −0.580148 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −12.5025 | −0.476308 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | − 15.0016i | − 0.570686i | −0.958425 | − | 0.285343i | \(-0.907892\pi\) | ||||
0.958425 | − | 0.285343i | \(-0.0921075\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 3.92787i | 0.149207i | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 25.3875 | 0.961620 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 2.47594i | 0.0936485i | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − 13.2874i | − 0.501859i | −0.968005 | − | 0.250929i | \(-0.919264\pi\) | ||||
0.968005 | − | 0.250929i | \(-0.0807362\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 35.1409 | 1.32537 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 13.5054i | 0.507925i | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | − 37.8976i | − 1.42327i | −0.702548 | − | 0.711637i | \(-0.747954\pi\) | ||||
0.702548 | − | 0.711637i | \(-0.252046\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 10.4450 | 0.391717 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −17.8914 | −0.670038 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 21.0737i | 0.787011i | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 4.17909 | 0.155854 | 0.0779269 | − | 0.996959i | \(-0.475170\pi\) | ||||
0.0779269 | + | 0.996959i | \(0.475170\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 14.3380 | 0.533975 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | − 6.10852i | − 0.227178i | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −26.7727 | −0.992943 | −0.496471 | − | 0.868053i | \(-0.665371\pi\) | ||||
−0.496471 | + | 0.868053i | \(0.665371\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | − 30.7083i | − 1.13579i | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | − 21.3364i | − 0.788080i | −0.919093 | − | 0.394040i | \(-0.871077\pi\) | ||||
0.919093 | − | 0.394040i | \(-0.128923\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −31.4912 | −1.15999 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | − 13.1038i | − 0.482033i | −0.970521 | − | 0.241016i | \(-0.922519\pi\) | ||||
0.970521 | − | 0.241016i | \(-0.0774807\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | − 10.9435i | − 0.402020i | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 33.3595 | 1.22384 | 0.611921 | − | 0.790919i | \(-0.290397\pi\) | ||||
0.611921 | + | 0.790919i | \(0.290397\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | − 1.52708i | − 0.0558730i | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 6.49069i | 0.237165i | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 1.92100 | 0.0700981 | 0.0350491 | − | 0.999386i | \(-0.488841\pi\) | ||||
0.0350491 | + | 0.999386i | \(0.488841\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 22.5286 | 0.820989 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | − 13.9908i | − 0.508504i | −0.967138 | − | 0.254252i | \(-0.918171\pi\) | ||||
0.967138 | − | 0.254252i | \(-0.0818292\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 25.3085 | 0.918640 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 25.6618 | 0.930240 | 0.465120 | − | 0.885248i | \(-0.346011\pi\) | ||||
0.465120 | + | 0.885248i | \(0.346011\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | − 20.6217i | − 0.746557i | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −9.70260 | −0.350341 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −12.3922 | −0.446873 | −0.223436 | − | 0.974719i | \(-0.571728\pi\) | ||||
−0.223436 | + | 0.974719i | \(0.571728\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 14.5286i | 0.523236i | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | − 38.4843i | − 1.38418i | −0.721810 | − | 0.692091i | \(-0.756689\pi\) | ||||
0.721810 | − | 0.692091i | \(-0.243311\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −8.74723 | −0.313805 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 37.6668i | 1.34955i | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 7.72569i | 0.276447i | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −5.26432 | −0.188131 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 0.389147i | 0.0138716i | 0.999976 | + | 0.00693579i | \(0.00220775\pi\) | ||||
−0.999976 | + | 0.00693579i | \(0.997792\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | − 5.29694i | − 0.188576i | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 13.1922 | 0.469060 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −17.3857 | −0.617386 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 0.854188i | 0.0302569i | 0.999886 | + | 0.0151284i | \(0.00481572\pi\) | ||||
−0.999886 | + | 0.0151284i | \(0.995184\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −36.0231 | −1.27441 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 12.7193 | 0.449413 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | − 45.3036i | − 1.59873i | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −27.0737 | −0.953039 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −10.4107 | −0.366020 | −0.183010 | − | 0.983111i | \(-0.558584\pi\) | ||||
−0.183010 | + | 0.983111i | \(0.558584\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − 6.08825i | − 0.213787i | −0.994270 | − | 0.106894i | \(-0.965910\pi\) | ||||
0.994270 | − | 0.106894i | \(-0.0340904\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | − 15.8604i | − 0.556249i | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 45.5611 | 1.59398 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 2.72404i | 0.0951856i | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | − 35.3908i | − 1.23515i | −0.786513 | − | 0.617574i | \(-0.788116\pi\) | ||||
0.786513 | − | 0.617574i | \(-0.211884\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −16.2846 | −0.567646 | −0.283823 | − | 0.958877i | \(-0.591603\pi\) | ||||
−0.283823 | + | 0.958877i | \(0.591603\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | − 32.1362i | − 1.11748i | −0.829341 | − | 0.558742i | \(-0.811284\pi\) | ||||
0.829341 | − | 0.558742i | \(-0.188716\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 22.4682i | 0.780355i | 0.920740 | + | 0.390177i | \(0.127586\pi\) | ||||
−0.920740 | + | 0.390177i | \(0.872414\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −9.98592 | −0.346408 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −18.8573 | −0.653367 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | − 2.08134i | − 0.0719416i | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 16.1358 | 0.557070 | 0.278535 | − | 0.960426i | \(-0.410151\pi\) | ||||
0.278535 | + | 0.960426i | \(0.410151\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 1.28695 | 0.0443777 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 13.4218i | 0.462270i | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −3.11085 | −0.106890 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −3.83722 | −0.131693 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 56.3611i | 1.93203i | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 44.6262i | 1.52797i | 0.645233 | + | 0.763986i | \(0.276760\pi\) | ||||
−0.645233 | + | 0.763986i | \(0.723240\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 4.52553 | 0.154589 | 0.0772945 | − | 0.997008i | \(-0.475372\pi\) | ||||
0.0772945 | + | 0.997008i | \(0.475372\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | − 42.7783i | − 1.45958i | −0.683673 | − | 0.729788i | \(-0.739619\pi\) | ||||
0.683673 | − | 0.729788i | \(-0.260381\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | − 9.37595i | − 0.319531i | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −23.7734 | −0.809257 | −0.404629 | − | 0.914481i | \(-0.632599\pi\) | ||||
−0.404629 | + | 0.914481i | \(0.632599\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | − 3.95051i | − 0.134166i | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | − 30.7519i | − 1.04319i | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −21.8397 | −0.740009 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 13.4450 | 0.455043 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 13.1470i | 0.443944i | 0.975053 | + | 0.221972i | \(0.0712494\pi\) | ||||
−0.975053 | + | 0.221972i | \(0.928751\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −26.4450 | −0.891966 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 38.9132 | 1.31102 | 0.655510 | − | 0.755187i | \(-0.272454\pi\) | ||||
0.655510 | + | 0.755187i | \(0.272454\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 44.5843i | 1.50038i | 0.661223 | + | 0.750190i | \(0.270038\pi\) | ||||
−0.661223 | + | 0.750190i | \(0.729962\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 32.3240 | 1.08533 | 0.542667 | − | 0.839948i | \(-0.317415\pi\) | ||||
0.542667 | + | 0.839948i | \(0.317415\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −11.6760 | −0.391601 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 2.94418i | 0.0986339i | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | − 53.4465i | − 1.78852i | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 17.5518 | 0.586038 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | − 10.9568i | − 0.365431i | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 22.1194i | 0.736904i | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −11.3410 | −0.377404 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | − 14.8309i | − 0.492452i | −0.969212 | − | 0.246226i | \(-0.920809\pi\) | ||||
0.969212 | − | 0.246226i | \(-0.0791905\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 10.1232i | 0.335765i | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −11.6108 | −0.384681 | −0.192341 | − | 0.981328i | \(-0.561608\pi\) | ||||
−0.192341 | + | 0.981328i | \(0.561608\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −4.49601 | −0.148796 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 0.628722i | 0.0207622i | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 58.2518 | 1.92155 | 0.960775 | − | 0.277330i | \(-0.0894495\pi\) | ||||
0.960775 | + | 0.277330i | \(0.0894495\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −1.27596 | −0.0420444 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 5.35789i | 0.176357i | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 10.7472 | 0.352985 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 18.4433 | 0.605105 | 0.302553 | − | 0.953133i | \(-0.402161\pi\) | ||||
0.302553 | + | 0.953133i | \(0.402161\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | − 27.9781i | − 0.916944i | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | − 2.44496i | − 0.0800445i | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −16.1005 | −0.525982 | −0.262991 | − | 0.964798i | \(-0.584709\pi\) | ||||
−0.262991 | + | 0.964798i | \(0.584709\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 22.8325i | 0.745109i | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 32.0974i | 1.04635i | 0.852226 | + | 0.523173i | \(0.175252\pi\) | ||||
−0.852226 | + | 0.523173i | \(0.824748\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −60.4121 | −1.96729 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 4.10998i | 0.133556i | 0.997768 | + | 0.0667782i | \(0.0212720\pi\) | ||||
−0.997768 | + | 0.0667782i | \(0.978728\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | − 31.4188i | − 1.01990i | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −2.11163 | −0.0684743 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −31.7208 | −1.02754 | −0.513769 | − | 0.857928i | \(-0.671751\pi\) | ||||
−0.513769 | + | 0.857928i | \(0.671751\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 15.4991i | 0.501016i | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −1.73944 | −0.0561695 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −26.6680 | −0.860259 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 4.86518i | 0.156778i | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −26.9936 | −0.868055 | −0.434027 | − | 0.900900i | \(-0.642908\pi\) | ||||
−0.434027 | + | 0.900900i | \(0.642908\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −19.3612 | −0.621971 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 14.0559i | 0.451076i | 0.974234 | + | 0.225538i | \(0.0724139\pi\) | ||||
−0.974234 | + | 0.225538i | \(0.927586\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | − 11.6698i | − 0.374116i | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −1.14251 | −0.0365520 | −0.0182760 | − | 0.999833i | \(-0.505818\pi\) | ||||
−0.0182760 | + | 0.999833i | \(0.505818\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | − 37.4479i | − 1.19684i | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | − 15.4573i | − 0.493513i | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 6.41720 | 0.204677 | 0.102338 | − | 0.994750i | \(-0.467368\pi\) | ||||
0.102338 | + | 0.994750i | \(0.467368\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 13.3038i | 0.423465i | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 73.0735i | 2.32360i | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 7.39470 | 0.234900 | 0.117450 | − | 0.993079i | \(-0.462528\pi\) | ||||
0.117450 | + | 0.993079i | \(0.462528\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −23.2248 | −0.737017 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 31.6649i | 1.00284i | 0.865205 | + | 0.501419i | \(0.167188\pi\) | ||||
−0.865205 | + | 0.501419i | \(0.832812\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −6.55659 | −0.207441 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))