Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [280,2,Mod(17,280)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(280, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 0, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("280.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 280 = 2^{3} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 280.bo (of order \(12\), degree \(4\), 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: | \(2.23581125660\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 257.4 | ||
Character | \(\chi\) | \(=\) | 280.257 |
Dual form | 280.2.bo.a.73.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(141\) | \(241\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) | \(1\) | \(e\left(\frac{5}{6}\right)\) |
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 | ||||||||
\(3\) | −0.364260 | + | 1.35944i | −0.210306 | + | 0.784872i | 0.777461 | + | 0.628931i | \(0.216507\pi\) |
−0.987767 | + | 0.155940i | \(0.950159\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.489612 | − | 2.18181i | −0.218961 | − | 0.975734i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.501338 | + | 2.59782i | −0.189488 | + | 0.981883i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0.882692 | + | 0.509622i | 0.294231 | + | 0.169874i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 1.86869 | + | 3.23667i | 0.563432 | + | 0.975893i | 0.997194 | + | 0.0748654i | \(0.0238527\pi\) |
−0.433762 | + | 0.901028i | \(0.642814\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 4.55026 | + | 4.55026i | 1.26201 | + | 1.26201i | 0.950115 | + | 0.311899i | \(0.100965\pi\) |
0.311899 | + | 0.950115i | \(0.399035\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 3.14438 | + | 0.129149i | 0.811874 | + | 0.0333461i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −5.91633 | − | 1.58528i | −1.43492 | − | 0.384486i | −0.544169 | − | 0.838975i | \(-0.683155\pi\) |
−0.890752 | + | 0.454489i | \(0.849822\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.616087 | − | 1.06709i | 0.141340 | − | 0.244808i | −0.786661 | − | 0.617385i | \(-0.788192\pi\) |
0.928001 | + | 0.372577i | \(0.121526\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −3.34895 | − | 1.62782i | −0.730802 | − | 0.355219i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 0.721250 | + | 2.69174i | 0.150391 | + | 0.561267i | 0.999456 | + | 0.0329787i | \(0.0104994\pi\) |
−0.849065 | + | 0.528288i | \(0.822834\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.52056 | + | 2.13648i | −0.904112 | + | 0.427295i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −3.99986 | + | 3.99986i | −0.769774 | + | 0.769774i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | − | 2.82808i | − | 0.525161i | −0.964910 | − | 0.262580i | \(-0.915427\pi\) | ||
0.964910 | − | 0.262580i | \(-0.0845735\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 5.94396 | − | 3.43175i | 1.06757 | − | 0.616360i | 0.140051 | − | 0.990144i | \(-0.455273\pi\) |
0.927516 | + | 0.373784i | \(0.121940\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −5.08074 | + | 1.36138i | −0.884444 | + | 0.236986i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 5.91340 | − | 0.178099i | 0.999547 | − | 0.0301042i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 7.52551 | − | 2.01646i | 1.23719 | − | 0.331503i | 0.419813 | − | 0.907611i | \(-0.362096\pi\) |
0.817374 | + | 0.576108i | \(0.195429\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −7.84327 | + | 4.52831i | −1.25593 | + | 0.725110i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | − | 5.56966i | − | 0.869835i | −0.900470 | − | 0.434917i | \(-0.856778\pi\) | ||
0.900470 | − | 0.434917i | \(-0.143222\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.95176 | + | 1.95176i | −0.297641 | + | 0.297641i | −0.840089 | − | 0.542448i | \(-0.817497\pi\) |
0.542448 | + | 0.840089i | \(0.317497\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0.679721 | − | 2.17538i | 0.101327 | − | 0.324286i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −2.98797 | − | 11.1512i | −0.435840 | − | 1.62658i | −0.739048 | − | 0.673652i | \(-0.764725\pi\) |
0.303209 | − | 0.952924i | \(-0.401942\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −6.49732 | − | 2.60477i | −0.928189 | − | 0.372110i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 4.31017 | − | 7.46543i | 0.603544 | − | 1.04537i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 9.44513 | + | 2.53082i | 1.29739 | + | 0.347634i | 0.840462 | − | 0.541870i | \(-0.182284\pi\) |
0.456927 | + | 0.889504i | \(0.348950\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 6.14686 | − | 5.66184i | 0.828842 | − | 0.763442i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 1.22623 | + | 1.22623i | 0.162418 | + | 0.162418i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 0.916152 | + | 1.58682i | 0.119273 | + | 0.206587i | 0.919480 | − | 0.393137i | \(-0.128610\pi\) |
−0.800207 | + | 0.599724i | \(0.795277\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.43491 | − | 1.98315i | −0.439795 | − | 0.253916i | 0.263716 | − | 0.964600i | \(-0.415052\pi\) |
−0.703511 | + | 0.710685i | \(0.748385\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −1.76643 | + | 2.03758i | −0.222550 | + | 0.256711i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 7.69992 | − | 12.1556i | 0.955058 | − | 1.50772i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −2.12646 | + | 7.93605i | −0.259788 | + | 0.969542i | 0.705576 | + | 0.708635i | \(0.250689\pi\) |
−0.965364 | + | 0.260908i | \(0.915978\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −3.92198 | −0.472151 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 0.570063 | 0.0676540 | 0.0338270 | − | 0.999428i | \(-0.489230\pi\) | ||||
0.0338270 | + | 0.999428i | \(0.489230\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −0.546036 | + | 2.03783i | −0.0639087 | + | 0.238510i | −0.990490 | − | 0.137584i | \(-0.956066\pi\) |
0.926581 | + | 0.376094i | \(0.122733\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −1.25774 | − | 6.92365i | −0.145232 | − | 0.799475i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −9.34513 | + | 3.23186i | −1.06498 | + | 0.368304i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −9.47466 | − | 5.47020i | −1.06598 | − | 0.615445i | −0.138901 | − | 0.990306i | \(-0.544357\pi\) |
−0.927081 | + | 0.374861i | \(0.877690\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −2.45170 | − | 4.24647i | −0.272411 | − | 0.471831i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −8.80820 | − | 8.80820i | −0.966826 | − | 0.966826i | 0.0326414 | − | 0.999467i | \(-0.489608\pi\) |
−0.999467 | + | 0.0326414i | \(0.989608\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.562062 | + | 13.6845i | −0.0609642 | + | 1.48429i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 3.84459 | + | 1.03016i | 0.412184 | + | 0.110444i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 3.00362 | − | 5.20243i | 0.318383 | − | 0.551456i | −0.661767 | − | 0.749709i | \(-0.730193\pi\) |
0.980151 | + | 0.198253i | \(0.0635267\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −14.1020 | + | 9.53952i | −1.47829 | + | 1.00001i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 2.50010 | + | 9.33049i | 0.259248 | + | 0.967527i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −2.62984 | − | 0.821721i | −0.269815 | − | 0.0843068i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −3.70694 | + | 3.70694i | −0.376383 | + | 0.376383i | −0.869795 | − | 0.493413i | \(-0.835749\pi\) |
0.493413 | + | 0.869795i | \(0.335749\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 3.80931i | 0.382850i | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 3.46339 | − | 1.99959i | 0.344620 | − | 0.198967i | −0.317693 | − | 0.948194i | \(-0.602908\pi\) |
0.662313 | + | 0.749227i | \(0.269575\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 2.65701 | − | 0.711944i | 0.261803 | − | 0.0701500i | −0.125530 | − | 0.992090i | \(-0.540063\pi\) |
0.387333 | + | 0.921940i | \(0.373396\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −1.91190 | + | 8.10377i | −0.186582 | + | 0.790847i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 8.20544 | − | 2.19864i | 0.793250 | − | 0.212551i | 0.160632 | − | 0.987014i | \(-0.448647\pi\) |
0.632618 | + | 0.774464i | \(0.281980\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 9.96993 | − | 5.75614i | 0.954946 | − | 0.551339i | 0.0603324 | − | 0.998178i | \(-0.480784\pi\) |
0.894614 | + | 0.446840i | \(0.147451\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 10.9650i | 1.04075i | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 7.36636 | − | 7.36636i | 0.692969 | − | 0.692969i | −0.269915 | − | 0.962884i | \(-0.586996\pi\) |
0.962884 | + | 0.269915i | \(0.0869957\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 5.51973 | − | 2.89154i | 0.514717 | − | 0.269637i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 1.69756 | + | 6.33539i | 0.156940 | + | 0.585707i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 7.08435 | − | 14.5748i | 0.649421 | − | 1.33607i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −1.48403 | + | 2.57041i | −0.134912 | + | 0.233674i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 7.57160 | + | 2.02880i | 0.682708 | + | 0.182931i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 6.87470 | + | 8.81695i | 0.614892 | + | 0.788612i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −8.56353 | − | 8.56353i | −0.759890 | − | 0.759890i | 0.216412 | − | 0.976302i | \(-0.430565\pi\) |
−0.976302 | + | 0.216412i | \(0.930565\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −1.94235 | − | 3.36425i | −0.171014 | − | 0.296206i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 1.01451 | + | 0.585728i | 0.0886381 | + | 0.0511753i | 0.543664 | − | 0.839303i | \(-0.317037\pi\) |
−0.455026 | + | 0.890478i | \(0.650370\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 2.46325 | + | 2.13546i | 0.213591 | + | 0.185168i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 10.6853 | + | 6.76854i | 0.919644 | + | 0.582544i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −2.65579 | + | 9.91154i | −0.226899 | + | 0.846800i | 0.754735 | + | 0.656029i | \(0.227765\pi\) |
−0.981635 | + | 0.190770i | \(0.938901\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −8.10664 | −0.687596 | −0.343798 | − | 0.939044i | \(-0.611714\pi\) | ||||
−0.343798 | + | 0.939044i | \(0.611714\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 16.2478 | 1.36831 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −6.22465 | + | 23.2307i | −0.520532 | + | 1.94265i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −6.17032 | + | 1.38466i | −0.512417 | + | 0.114990i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 5.90774 | − | 7.88388i | 0.487262 | − | 0.650252i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 5.60127 | + | 3.23390i | 0.458874 | + | 0.264931i | 0.711571 | − | 0.702614i | \(-0.247984\pi\) |
−0.252697 | + | 0.967546i | \(0.581317\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 3.00407 | + | 5.20320i | 0.244468 | + | 0.423430i | 0.961982 | − | 0.273114i | \(-0.0880535\pi\) |
−0.717514 | + | 0.696544i | \(0.754720\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −4.41441 | − | 4.41441i | −0.356884 | − | 0.356884i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −10.3976 | − | 11.2884i | −0.835159 | − | 0.906702i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 6.64043 | + | 1.77930i | 0.529964 | + | 0.142003i | 0.513871 | − | 0.857867i | \(-0.328211\pi\) |
0.0160922 | + | 0.999871i | \(0.494877\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −6.88097 | + | 11.9182i | −0.545697 | + | 0.945174i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −7.35425 | + | 0.524203i | −0.579596 | + | 0.0413130i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −3.38778 | − | 12.6434i | −0.265351 | − | 0.990305i | −0.962035 | − | 0.272926i | \(-0.912008\pi\) |
0.696683 | − | 0.717379i | \(-0.254658\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 5.45786 | + | 10.4186i | 0.424894 | + | 0.811091i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −6.33743 | + | 6.33743i | −0.490405 | + | 0.490405i | −0.908434 | − | 0.418029i | \(-0.862721\pi\) |
0.418029 | + | 0.908434i | \(0.362721\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 28.4097i | 2.18536i | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 1.08763 | − | 0.627943i | 0.0831731 | − | 0.0480200i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 1.95448 | − | 0.523701i | 0.148596 | − | 0.0398162i | −0.183754 | − | 0.982972i | \(-0.558825\pi\) |
0.332350 | + | 0.943156i | \(0.392158\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −3.28385 | − | 12.8147i | −0.248235 | − | 0.968700i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −2.49090 | + | 0.667435i | −0.187228 | + | 0.0501675i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 3.54703 | − | 2.04788i | 0.265118 | − | 0.153066i | −0.361549 | − | 0.932353i | \(-0.617752\pi\) |
0.626667 | + | 0.779287i | \(0.284419\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 10.6327i | 0.790323i | 0.918612 | + | 0.395162i | \(0.129311\pi\) | ||||
−0.918612 | + | 0.395162i | \(0.870689\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 3.94716 | − | 3.94716i | 0.291783 | − | 0.291783i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −8.08409 | − | 15.4319i | −0.594354 | − | 1.13458i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −5.92479 | − | 22.1116i | −0.433264 | − | 1.61696i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −8.38563 | − | 12.3962i | −0.609965 | − | 0.901690i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −6.36951 | + | 11.0323i | −0.460882 | + | 0.798271i | −0.999005 | − | 0.0445955i | \(-0.985800\pi\) |
0.538123 | + | 0.842866i | \(0.319133\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 11.1345 | + | 2.98349i | 0.801482 | + | 0.214756i | 0.636234 | − | 0.771496i | \(-0.280491\pi\) |
0.165247 | + | 0.986252i | \(0.447158\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 13.7201 | + | 14.8954i | 0.982514 | + | 1.06668i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −4.36293 | − | 4.36293i | −0.310846 | − | 0.310846i | 0.534391 | − | 0.845237i | \(-0.320541\pi\) |
−0.845237 | + | 0.534391i | \(0.820541\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 8.80171 | + | 15.2450i | 0.623937 | + | 1.08069i | 0.988745 | + | 0.149608i | \(0.0478011\pi\) |
−0.364809 | + | 0.931082i | \(0.618866\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −10.0140 | − | 5.78157i | −0.706331 | − | 0.407801i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 7.34683 | + | 1.41782i | 0.515646 | + | 0.0995117i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −12.1519 | + | 2.72697i | −0.848727 | + | 0.190460i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −0.735130 | + | 2.74354i | −0.0510951 | + | 0.190689i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 4.60511 | 0.318542 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 22.0556 | 1.51837 | 0.759185 | − | 0.650875i | \(-0.225598\pi\) | ||||
0.759185 | + | 0.650875i | \(0.225598\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −0.207651 | + | 0.774964i | −0.0142280 | + | 0.0530997i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 5.21398 | + | 3.30276i | 0.355590 | + | 0.225247i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 5.93512 | + | 17.1618i | 0.402902 | + | 1.16502i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −2.57141 | − | 1.48460i | −0.173760 | − | 0.100320i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −19.7074 | − | 34.1343i | −1.32566 | − | 2.29612i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −8.37713 | − | 8.37713i | −0.560974 | − | 0.560974i | 0.368610 | − | 0.929584i | \(-0.379834\pi\) |
−0.929584 | + | 0.368610i | \(0.879834\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −5.07906 | − | 0.417929i | −0.338604 | − | 0.0278620i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 11.3948 | + | 3.05323i | 0.756300 | + | 0.202650i | 0.616311 | − | 0.787503i | \(-0.288626\pi\) |
0.139989 | + | 0.990153i | \(0.455293\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 3.21704 | − | 5.57208i | 0.212588 | − | 0.368214i | −0.739936 | − | 0.672678i | \(-0.765144\pi\) |
0.952524 | + | 0.304464i | \(0.0984774\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −0.989449 | − | 13.8814i | −0.0651010 | − | 0.913326i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −3.93160 | − | 14.6729i | −0.257568 | − | 0.961256i | −0.966644 | − | 0.256124i | \(-0.917554\pi\) |
0.709076 | − | 0.705132i | \(-0.249112\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −22.8669 | + | 11.9789i | −1.49167 | + | 0.781420i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 10.8876 | − | 10.8876i | 0.707228 | − | 0.707228i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | − | 17.0337i | − | 1.10182i | −0.834566 | − | 0.550908i | \(-0.814282\pi\) | ||
0.834566 | − | 0.550908i | \(-0.185718\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −0.561340 | + | 0.324090i | −0.0361591 | + | 0.0208765i | −0.517971 | − | 0.855398i | \(-0.673312\pi\) |
0.481811 | + | 0.876275i | \(0.339979\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −9.72586 | + | 2.60604i | −0.623914 | + | 0.167177i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −2.50195 | + | 15.4512i | −0.159843 | + | 0.987142i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 7.65890 | − | 2.05220i | 0.487324 | − | 0.130578i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 15.1827 | − | 8.76572i | 0.962163 | − | 0.555505i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 2.99161i | 0.188828i | 0.995533 | + | 0.0944142i | \(0.0300978\pi\) | ||||
−0.995533 | + | 0.0944142i | \(0.969902\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −7.36449 | + | 7.36449i | −0.463002 | + | 0.463002i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −18.3984 | − | 5.74879i | −1.15215 | − | 0.360003i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 1.22356 | + | 4.56640i | 0.0763237 | + | 0.284844i | 0.993530 | − | 0.113568i | \(-0.0362280\pi\) |
−0.917206 | + | 0.398412i | \(0.869561\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 1.46556 | + | 20.5608i | 0.0910652 | + | 1.27759i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 1.44125 | − | 2.49632i | 0.0892112 | − | 0.154518i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −24.0481 | − | 6.44367i | −1.48287 | − | 0.397334i | −0.575547 | − | 0.817769i | \(-0.695211\pi\) |
−0.907323 | + | 0.420435i | \(0.861877\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.897304 | − | 21.8466i | 0.0551210 | − | 1.34202i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 5.97828 | + | 5.97828i | 0.365865 | + | 0.365865i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 0.153942 | + | 0.266636i | 0.00938603 | + | 0.0162571i | 0.870680 | − | 0.491849i | \(-0.163679\pi\) |
−0.861294 | + | 0.508107i | \(0.830346\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 24.2593 | + | 14.0061i | 1.47365 | + | 0.850812i | 0.999560 | − | 0.0296653i | \(-0.00944415\pi\) |
0.474089 | + | 0.880477i | \(0.342777\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −7.83160 | − | 22.6456i | −0.473990 | − | 1.37057i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −15.3626 | − | 10.6392i | −0.926400 | − | 0.641565i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 7.32354 | − | 27.3318i | 0.440029 | − | 1.64221i | −0.288708 | − | 0.957417i | \(-0.593226\pi\) |
0.728737 | − | 0.684793i | \(-0.240108\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 6.99558 | 0.418814 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −2.60283 | −0.155272 | −0.0776358 | − | 0.996982i | \(-0.524737\pi\) | ||||
−0.0776358 | + | 0.996982i | \(0.524737\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 4.67227 | − | 17.4371i | 0.277738 | − | 1.03653i | −0.676247 | − | 0.736675i | \(-0.736395\pi\) |
0.953985 | − | 0.299856i | \(-0.0969386\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 2.07502 | − | 3.27578i | 0.122914 | − | 0.194040i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 14.4690 | + | 2.79228i | 0.854076 | + | 0.164823i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 17.7675 | + | 10.2581i | 1.04515 | + | 0.603415i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −3.68906 | − | 6.38965i | −0.216257 | − | 0.374568i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −17.2326 | − | 17.2326i | −1.00674 | − | 1.00674i | −0.999977 | − | 0.00676223i | \(-0.997848\pi\) |
−0.00676223 | − | 0.999977i | \(-0.502152\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 3.01358 | − | 2.77579i | 0.175457 | − | 0.161613i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −20.4207 | − | 5.47172i | −1.18493 | − | 0.317502i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −8.96625 | + | 15.5300i | −0.518532 | + | 0.898123i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −4.09183 | − | 6.04882i | −0.235849 | − | 0.348648i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 1.45674 | + | 5.43663i | 0.0836876 | + | 0.312327i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −2.64507 | + | 8.46528i | −0.151456 | + | 0.484720i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 11.3375 | − | 11.3375i | 0.647063 | − | 0.647063i | −0.305219 | − | 0.952282i | \(-0.598730\pi\) |
0.952282 | + | 0.305219i | \(0.0987298\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 3.87137i | 0.220235i | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 17.9899 | − | 10.3865i | 1.02011 | − | 0.588962i | 0.105975 | − | 0.994369i | \(-0.466204\pi\) |
0.914136 | + | 0.405407i | \(0.132870\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −7.34380 | + | 1.96776i | −0.415096 | + | 0.111225i | −0.460322 | − | 0.887752i | \(-0.652266\pi\) |
0.0452258 | + | 0.998977i | \(0.485599\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 5.31047 | + | 2.85639i | 0.299211 | + | 0.160940i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 1.65329 | − | 0.442998i | 0.0928581 | − | 0.0248812i | −0.212091 | − | 0.977250i | \(-0.568027\pi\) |
0.304949 | + | 0.952369i | \(0.401361\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 9.15356 | − | 5.28481i | 0.512501 | − | 0.295892i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 11.9557i | 0.667300i | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −5.33661 | + | 5.33661i | −0.296937 | + | 0.296937i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −30.2912 | − | 10.8482i | −1.68026 | − | 0.601750i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 4.19347 | + | 15.6502i | 0.231899 | + | 0.865460i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 30.4669 | − | 2.17165i | 1.67969 | − | 0.119727i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −13.0087 | + | 22.5317i | −0.715023 | + | 1.23846i | 0.247928 | + | 0.968779i | \(0.420250\pi\) |
−0.962951 | + | 0.269678i | \(0.913083\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 7.67034 | + | 2.05526i | 0.420332 | + | 0.112628i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 18.3561 | + | 0.753938i | 1.00290 | + | 0.0411921i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −22.0521 | − | 22.0521i | −1.20125 | − | 1.20125i | −0.973785 | − | 0.227468i | \(-0.926955\pi\) |
−0.227468 | − | 0.973785i | \(-0.573045\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 7.33083 | + | 12.6974i | 0.398156 | + | 0.689627i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 22.2149 | + | 12.8258i | 1.20300 | + | 0.694554i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 10.0241 | − | 15.5730i | 0.541249 | − | 0.840862i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 1.92025 | + | 8.55700i | 0.103383 | + | 0.460693i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −5.71867 | + | 21.3424i | −0.306994 | + | 1.14572i | 0.624221 | + | 0.781248i | \(0.285417\pi\) |
−0.931215 | + | 0.364470i | \(0.881250\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −21.6246 | −1.15754 | −0.578770 | − | 0.815491i | \(-0.696467\pi\) | ||||
−0.578770 | + | 0.815491i | \(0.696467\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −36.4008 | −1.94293 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −0.979086 | + | 3.65400i | −0.0521115 | + | 0.194483i | −0.987074 | − | 0.160263i | \(-0.948766\pi\) |
0.934963 | + | 0.354746i | \(0.115433\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −0.279109 | − | 1.24377i | −0.0148136 | − | 0.0660123i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 17.2330 | + | 14.9397i | 0.912066 | + | 0.790695i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −3.68781 | − | 2.12916i | −0.194635 | − | 0.112373i | 0.399516 | − | 0.916726i | \(-0.369178\pi\) |
−0.594151 | + | 0.804354i | \(0.702512\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 8.74087 | + | 15.1396i | 0.460046 | + | 0.796823i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −2.95374 | − | 2.95374i | −0.155031 | − | 0.155031i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 4.71351 | + | 0.193598i | 0.246716 | + | 0.0101334i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −22.7211 | − | 6.08811i | −1.18603 | − | 0.317797i | −0.388716 | − | 0.921357i | \(-0.627081\pi\) |
−0.797317 | + | 0.603561i | \(0.793748\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 2.83842 | − | 4.91629i | 0.147762 | − | 0.255932i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −11.3098 | + | 23.2679i | −0.587176 | + | 1.20801i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −2.02436 | − | 7.55500i | −0.104817 | − | 0.391183i | 0.893507 | − | 0.449049i | \(-0.148237\pi\) |
−0.998324 | + | 0.0578658i | \(0.981570\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −14.4903 | + | 6.13406i | −0.748274 | + | 0.316761i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 12.8685 | − | 12.8685i | 0.662760 | − | 0.662760i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 24.6449i | − | 1.26592i | −0.774184 | − | 0.632961i | \(-0.781839\pi\) | ||
0.774184 | − | 0.632961i | \(-0.218161\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 14.7609 | − | 8.52223i | 0.756225 | − | 0.436607i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 22.6611 | − | 6.07201i | 1.15793 | − | 0.310265i | 0.371789 | − | 0.928317i | \(-0.378745\pi\) |
0.786137 | + | 0.618052i | \(0.212078\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 11.6268 | + | 18.8069i | 0.592555 | + | 0.958489i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −2.71747 | + | 0.728143i | −0.138137 | + | 0.0370136i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −20.5933 | + | 11.8895i | −1.04412 | + | 0.602823i | −0.920998 | − | 0.389568i | \(-0.872624\pi\) |
−0.123123 | + | 0.992391i | \(0.539291\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | − | 17.0686i | − | 0.863198i | ||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −1.16581 | + | 1.16581i | −0.0588071 | + | 0.0588071i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −7.29601 | + | 23.3501i | −0.367102 | + | 1.17487i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 5.98647 | + | 22.3418i | 0.300452 | + | 1.12130i | 0.936790 | + | 0.349892i | \(0.113782\pi\) |
−0.636338 | + | 0.771410i | \(0.719552\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −3.80028 | + | 2.57077i | −0.190252 | + | 0.128699i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −18.8264 | + | 32.6083i | −0.940147 | + | 1.62838i | −0.174960 | + | 0.984576i | \(0.555980\pi\) |
−0.765187 | + | 0.643808i | \(0.777354\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 42.6619 | + | 11.4312i | 2.12514 | + | 0.569430i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −8.06461 | + | 7.42827i | −0.400733 | + | 0.369114i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 20.5895 | + | 20.5895i | 1.02058 | + | 1.02058i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 3.10540 | + | 5.37871i | 0.153552 | + | 0.265960i | 0.932531 | − | 0.361090i | \(-0.117595\pi\) |
−0.778979 | + | 0.627050i | \(0.784262\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −12.5067 | − | 7.22076i | −0.616911 | − | 0.356174i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −4.58158 | + | 1.58446i | −0.225445 | + | 0.0779663i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −14.9052 | + | 23.5304i | −0.731667 | + | 1.15506i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 2.95292 | − | 11.0205i | 0.144605 | − | 0.539674i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 12.9069 | 0.630541 | 0.315270 | − | 0.949002i | \(-0.397905\pi\) | ||||
0.315270 | + | 0.949002i | \(0.397905\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −25.0983 | −1.22322 | −0.611608 | − | 0.791161i | \(-0.709477\pi\) | ||||
−0.611608 | + | 0.791161i | \(0.709477\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 3.04547 | − | 11.3658i | 0.148076 | − | 0.552626i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 30.1321 | − | 5.47376i | 1.46162 | − | 0.265516i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 6.87390 | − | 7.92904i | 0.332651 | − | 0.383713i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −29.3133 | − | 16.9241i | −1.41526 | − | 0.817101i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −14.1918 | − | 24.5809i | −0.683593 | − | 1.18402i | −0.973877 | − | 0.227078i | \(-0.927083\pi\) |
0.290283 | − | 0.956941i | \(-0.406250\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 20.7667 | + | 20.7667i | 0.997984 | + | 0.997984i | 0.999998 | − | 0.00201350i | \(-0.000640917\pi\) |
−0.00201350 | + | 0.999998i | \(0.500641\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0.365243 | − | 8.89254i | 0.0175121 | − | 0.426365i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 3.31669 | + | 0.888706i | 0.158659 | + | 0.0425125i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 2.84512 | − | 4.92790i | 0.135790 | − | 0.235196i | −0.790109 | − | 0.612967i | \(-0.789976\pi\) |
0.925899 | + | 0.377771i | \(0.123309\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −4.40768 | − | 5.61039i | −0.209890 | − | 0.267161i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −3.38845 | − | 12.6459i | −0.160990 | − | 0.600824i | −0.998518 | − | 0.0544285i | \(-0.982666\pi\) |
0.837527 | − | 0.546395i | \(-0.184000\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −12.8213 | − | 4.00616i | −0.607788 | − | 0.189910i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −6.43660 | + | 6.43660i | −0.304441 | + | 0.304441i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 11.4035i | 0.538163i | 0.963117 | + | 0.269081i | \(0.0867200\pi\) | ||||
−0.963117 | + | 0.269081i | \(0.913280\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 18.0272 | − | 10.4080i | 0.848866 | − | 0.490093i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −8.16769 | + | 2.18853i | −0.383751 | + | 0.102826i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 27.7179 | + | 26.0971i | 1.29943 | + | 1.22345i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 2.45668 | − | 0.658264i | 0.114918 | − | 0.0307923i | −0.200901 | − | 0.979611i | \(-0.564387\pi\) |
0.315820 | + | 0.948819i | \(0.397720\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 30.0054 | − | 17.3236i | 1.40053 | − | 0.808597i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 28.3975i | 1.32260i | 0.750121 | + | 0.661301i | \(0.229995\pi\) | ||||
−0.750121 | + | 0.661301i | \(0.770005\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −8.29144 | + | 8.29144i | −0.385336 | + | 0.385336i | −0.873020 | − | 0.487684i | \(-0.837842\pi\) |
0.487684 | + | 0.873020i | \(0.337842\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 19.1333 | − | 10.0230i | 0.887283 | − | 0.464808i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 0.448458 | + | 1.67367i | 0.0207522 | + | 0.0774481i | 0.975525 | − | 0.219887i | \(-0.0705688\pi\) |
−0.954773 | + | 0.297335i | \(0.903902\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −19.5503 | − | 9.50279i | −0.902751 | − | 0.438798i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −4.83768 | + | 8.37912i | −0.222909 | + | 0.386089i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −9.96446 | − | 2.66997i | −0.458166 | − | 0.122765i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.505238 | + | 6.14012i | −0.0231819 | + | 0.281728i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 7.04738 | + | 7.04738i | 0.322677 | + | 0.322677i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 10.7131 | + | 18.5557i | 0.489496 | + | 0.847831i | 0.999927 | − | 0.0120872i | \(-0.00384756\pi\) |
−0.510431 | + | 0.859919i | \(0.670514\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 43.4184 | + | 25.0676i | 1.97971 | + | 1.14299i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 1.96624 | − | 10.1886i | 0.0894669 | − | 0.463597i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 9.90279 | + | 6.27287i | 0.449663 | + | 0.284836i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 10.0631 | − | 37.5562i | 0.456005 | − | 1.70183i | −0.229112 | − | 0.973400i | \(-0.573582\pi\) |
0.685117 | − | 0.728433i | \(-0.259751\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 18.4219 | 0.833067 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −5.54467 | −0.250228 | −0.125114 | − | 0.992142i | \(-0.539930\pi\) | ||||
−0.125114 | + | 0.992142i | \(0.539930\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −4.48329 | + | 16.7318i | −0.201917 | + | 0.753565i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 8.31118 | − | 1.86508i | 0.373560 | − | 0.0838292i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −0.285794 | + | 1.48092i | −0.0128196 | + | 0.0664283i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −4.28573 | − | 2.47437i | −0.191856 | − | 0.110768i | 0.400995 | − | 0.916080i | \(-0.368664\pi\) |
−0.592851 | + | 0.805312i | \(0.701998\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −6.30686 | − | 10.9238i | −0.281770 | − | 0.488040i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −14.3450 | − | 14.3450i | −0.639614 | − | 0.639614i | 0.310846 | − | 0.950460i | \(-0.399388\pi\) |
−0.950460 | + | 0.310846i | \(0.899388\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −6.05844 | − | 6.57743i | −0.269597 | − | 0.292692i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −38.6212 | − | 10.3485i | −1.71523 | − | 0.459594i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −17.6679 | + | 30.6017i | −0.783116 | + | 1.35640i | 0.147002 | + | 0.989136i | \(0.453038\pi\) |
−0.930118 | + | 0.367260i | \(0.880296\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −5.02017 | − | 2.44015i | −0.222079 | − | 0.107946i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 1.80396 | + | 6.73249i | 0.0796470 | + | 0.297247i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −2.85423 | − | 5.44851i | −0.125772 | − | 0.240090i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 30.5093 | − | 30.5093i | 1.34180 | − | 1.34180i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 2.84775i | 0.125002i | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −19.0681 | + | 11.0090i | −0.835388 | + | 0.482312i | −0.855694 | − | 0.517482i | \(-0.826869\pi\) |
0.0203058 | + | 0.999794i | \(0.493536\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −25.4125 | + | 6.80926i | −1.11121 | + | 0.297748i | −0.767322 | − | 0.641262i | \(-0.778411\pi\) |
−0.343889 | + | 0.939010i | \(0.611744\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 18.6169 | + | 0.203700i | 0.812510 | + | 0.00889020i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −40.6067 | + | 10.8805i | −1.76886 | + | 0.473964i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 13.1933 | − | 7.61716i | 0.573622 | − | 0.331181i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 1.86757i | 0.0810454i | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 25.3434 | − | 25.3434i | 1.09774 | − | 1.09774i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −8.81449 | − | 16.8262i | −0.381084 | − | 0.727460i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 1.49192 | + | 5.56793i | 0.0643812 | + | 0.240274i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −3.71071 | − | 25.8972i | −0.159831 | − | 1.11547i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 3.33567 | − | 5.77755i | 0.143412 | − | 0.248396i | −0.785368 | − | 0.619030i | \(-0.787526\pi\) |
0.928779 | + | 0.370633i | \(0.120859\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −14.4545 | − | 3.87307i | −0.620302 | − | 0.166209i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −17.4402 | − | 18.9342i | −0.747056 | − | 0.811052i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 8.18996 | + | 8.18996i | 0.350177 | + | 0.350177i | 0.860175 | − | 0.509998i | \(-0.170354\pi\) |
−0.509998 | + | 0.860175i | \(0.670354\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −2.02131 | − | 3.50101i | −0.0862674 | − | 0.149420i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −3.01782 | − | 1.74234i | −0.128564 | − | 0.0742262i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 18.9606 | − | 21.8710i | 0.806286 | − | 0.930050i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 23.9235 | − | 5.36858i | 1.01549 | − | 0.227884i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −9.76062 | + | 36.4271i | −0.413571 | + | 1.54347i | 0.374111 | + | 0.927384i | \(0.377948\pi\) |
−0.787681 | + | 0.616083i | \(0.788719\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −17.7621 | −0.751255 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 32.2175 | 1.36023 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −9.97457 | + | 37.2256i | −0.420378 | + | 1.56887i | 0.353436 | + | 0.935459i | \(0.385013\pi\) |
−0.773814 | + | 0.633413i | \(0.781653\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −19.6786 | − | 12.4653i | −0.827886 | − | 0.524420i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 12.2607 | − | 4.24016i | 0.514901 | − | 0.178070i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −10.4114 | − | 6.01105i | −0.436470 | − | 0.251996i | 0.265629 | − | 0.964075i | \(-0.414420\pi\) |
−0.702099 | + | 0.712079i | \(0.747754\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −15.7498 | − | 27.2794i | −0.659107 | − | 1.14161i | −0.980847 | − | 0.194779i | \(-0.937601\pi\) |
0.321740 | − | 0.946828i | \(-0.395732\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −12.6776 | − | 12.6776i | −0.529614 | − | 0.529614i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −9.01130 | − | 10.6273i | −0.375797 | − | 0.443187i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 11.7414 | + | 3.14609i | 0.488800 | + | 0.130973i | 0.494797 | − | 0.869009i | \(-0.335242\pi\) |
−0.00599739 | + | 0.999982i | \(0.501909\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −8.11174 | + | 14.0499i | −0.337112 | + | 0.583896i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 27.2980 | − | 18.4662i | 1.13251 | − | 0.766108i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 9.45864 | + | 35.3001i | 0.391737 | + | 1.46198i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 12.9914 | − | 6.80563i | 0.537130 | − | 0.281378i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −19.1797 | + | 19.1797i | −0.791631 | + | 0.791631i | −0.981759 | − | 0.190128i | \(-0.939110\pi\) |
0.190128 | + | 0.981759i | \(0.439110\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | − | 8.45702i | − | 0.348465i | ||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 7.52038 | − | 4.34189i | 0.309347 | − | 0.178602i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −29.4676 | + | 7.89583i | −1.21009 | + | 0.324243i | −0.806797 | − | 0.590828i | \(-0.798801\pi\) |
−0.403293 | + | 0.915071i | \(0.632134\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −35.2680 | − | 8.32068i | −1.44585 | − | 0.341115i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −23.9307 | + | 6.41223i | −0.979420 | + | 0.262435i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 13.8406 | − | 7.99090i | 0.565513 | − | 0.326499i | −0.189842 | − | 0.981815i | \(-0.560798\pi\) |
0.755355 | + | 0.655315i | \(0.227464\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 35.9834i | 1.46779i | 0.679260 | + | 0.733897i | \(0.262301\pi\) | ||||
−0.679260 | + | 0.733897i | \(0.737699\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −5.92139 | + | 5.92139i | −0.241138 | + | 0.241138i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 6.33473 | + | 1.97936i | 0.257544 | + | 0.0804723i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −0.457120 | − | 1.70600i | −0.0185539 | − | 0.0692442i | 0.956028 | − | 0.293275i | \(-0.0947451\pi\) |
−0.974582 | + | 0.224031i | \(0.928078\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −4.60360 | + | 9.47110i | −0.186547 | + | 0.383788i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 37.1450 | − | 64.3371i | 1.50273 | − | 2.60280i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 3.65567 | + | 0.979533i | 0.147651 | + | 0.0395629i | 0.331887 | − | 0.943319i | \(-0.392315\pi\) |
−0.184237 | + | 0.982882i | \(0.558981\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0.719316 | − | 17.5131i | 0.0290056 | − | 0.706196i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −2.94869 | − | 2.94869i | −0.118710 | − | 0.118710i | 0.645256 | − | 0.763966i | \(-0.276751\pi\) |
−0.763966 | + | 0.645256i | \(0.776751\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −15.6267 | − | 27.0662i | −0.628088 | − | 1.08788i | −0.987935 | − | 0.154869i | \(-0.950504\pi\) |
0.359847 | − | 0.933011i | \(-0.382829\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −13.6515 | − | 7.88169i | −0.547816 | − | 0.316282i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 12.0091 | + | 10.4110i | 0.481136 | + | 0.417110i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 15.8709 | − | 19.3161i | 0.634838 | − | 0.772645i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −1.67746 | + | 6.26036i | −0.0669912 | + | 0.250015i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −47.7201 | −1.90272 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −19.8658 | −0.790844 | −0.395422 | − | 0.918500i | \(-0.629402\pi\) | ||||
−0.395422 | + | 0.918500i | \(0.629402\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −8.03397 | + | 29.9832i | −0.319322 | + | 1.19173i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −14.4912 | + | 22.8768i | −0.575064 | + | 0.907836i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −17.7121 | − | 41.4169i | −0.701779 | − | 1.64100i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0.503189 | + | 0.290517i | 0.0199059 | + | 0.0114927i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −20.8732 | − | 36.1535i | −0.824443 | − | 1.42798i | −0.902344 | − | 0.431016i | \(-0.858155\pi\) |
0.0779013 | − | 0.996961i | \(-0.475178\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 4.58193 | + | 4.58193i | 0.180694 | + | 0.180694i | 0.791658 | − | 0.610964i | \(-0.209218\pi\) |
−0.610964 | + | 0.791658i | \(0.709218\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −6.38915 | + | 5.88501i | −0.251572 | + | 0.231722i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 8.45072 | + | 2.26436i | 0.332232 | + | 0.0890213i | 0.421079 | − | 0.907024i | \(-0.361652\pi\) |
−0.0888468 | + | 0.996045i | \(0.528318\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −3.42401 | + | 5.93056i | −0.134404 | + | 0.232795i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −25.4923 | + | 1.81707i | −0.999123 | + | 0.0712165i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −0.895030 | − | 3.34030i | −0.0350252 | − | 0.130716i | 0.946199 | − | 0.323584i | \(-0.104888\pi\) |
−0.981225 | + | 0.192868i | \(0.938221\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0.781229 | − | 2.50024i | 0.0305251 | − | 0.0976926i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −1.52051 | + | 1.52051i | −0.0593206 | + | 0.0593206i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 1.86861i | 0.0727907i | 0.999337 | + | 0.0363953i | \(0.0115876\pi\) | ||||
−0.999337 | + | 0.0363953i | \(0.988412\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 40.7798 | − | 23.5442i | 1.58615 | − | 0.915764i | 0.592216 | − | 0.805779i | \(-0.298253\pi\) |
0.993933 | − | 0.109984i | \(-0.0350801\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 53.5820 | − | 14.3573i | 2.08095 | − | 0.557590i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 3.45312 | − | 6.41987i | 0.133906 | − | 0.248952i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 7.61246 | − | 2.03975i | 0.294755 | − | 0.0789795i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 14.4396 | − | 8.33672i | 0.558268 | − | 0.322316i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | − | 14.8236i | − | 0.572257i | ||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −3.20914 | + | 3.20914i | −0.123703 | + | 0.123703i | −0.766248 | − | 0.642545i | \(-0.777879\pi\) |
0.642545 | + | 0.766248i | \(0.277879\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 9.53601 | − | 26.6272i | 0.367041 | − | 1.02488i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −4.04037 | − | 15.0789i | −0.155284 | − | 0.579528i | −0.999081 | − | 0.0428651i | \(-0.986351\pi\) |
0.843797 | − | 0.536663i | \(-0.180315\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −7.77153 | − | 11.4884i | −0.298244 | − | 0.440884i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −8.30135 | + | 14.3784i | −0.318109 | + | 0.550980i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 22.6701 | + | 6.07444i | 0.867448 | + | 0.232432i | 0.664984 | − | 0.746858i | \(-0.268438\pi\) |
0.202464 | + | 0.979290i | \(0.435105\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 22.9254 | + | 0.941613i | 0.875933 | + | 0.0359772i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 6.40306 | + | 6.40306i | 0.244292 | + | 0.244292i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 31.4619 | + | 54.4937i | 1.19860 | + | 2.07604i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 12.8955 | + | 7.44520i | 0.490566 | + | 0.283229i | 0.724809 | − | 0.688949i | \(-0.241928\pi\) |
−0.234243 | + | 0.972178i | \(0.575261\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −9.89590 | − | 1.90975i | −0.375914 | − | 0.0725455i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 3.96910 | + | 17.6871i | 0.150557 | + | 0.670910i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −8.82945 | + | 32.9520i | −0.334439 | + | 1.24814i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 21.3791 | 0.808630 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 23.9673 | 0.905232 | 0.452616 | − | 0.891705i | \(-0.350491\pi\) | ||||
0.452616 | + | 0.891705i | \(0.350491\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 2.48462 | − | 9.27274i | 0.0937093 | − | 0.349728i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −7.95512 | − | 35.4496i | −0.299607 | − | 1.33511i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 3.45824 | + | 9.99973i | 0.130061 | + | 0.376079i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −0.893033 | − | 0.515593i | −0.0335386 | − | 0.0193635i | 0.483137 | − | 0.875545i | \(-0.339497\pi\) |
−0.516676 | + | 0.856181i | \(0.672831\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −5.57547 | − | 9.65699i | −0.209096 | − | 0.362166i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 13.5245 | + | 13.5245i | 0.506495 | + | 0.506495i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 53.7326 | + | 2.20696i | 2.00949 | + | 0.0825356i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 23.1562 | + | 6.20468i | 0.864784 | + | 0.231718i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 12.0529 | − | 20.8762i | 0.449497 | − | 0.778552i | −0.548856 | − | 0.835917i | \(-0.684937\pi\) |
0.998353 | + | 0.0573650i | \(0.0182699\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0.517440 | + | 7.25936i | 0.0192705 | + | 0.270353i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −0.236106 | − | 0.881160i | −0.00878088 | − | 0.0327707i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 6.04212 | + | 12.7845i | 0.224399 | + | 0.474804i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 0.650788 | − | 0.650788i | 0.0241364 | − | 0.0241364i | −0.694936 | − | 0.719072i | \(-0.744567\pi\) |
0.719072 | + | 0.694936i | \(0.244567\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | − | 28.8812i | − | 1.06967i | ||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 14.6414 | − | 8.45320i | 0.541531 | − | 0.312653i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −13.2928 | + | 3.56180i | −0.490981 | + | 0.131558i | −0.495811 | − | 0.868430i | \(-0.665129\pi\) |
0.00483005 | + | 0.999988i | \(0.498463\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −20.0936 | − | 9.02950i | −0.741164 | − | 0.333058i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −29.6601 | + | 7.94739i | −1.09254 | + | 0.292746i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −12.8236 | + | 7.40373i | −0.471725 | + | 0.272351i | −0.716962 | − | 0.697113i | \(-0.754468\pi\) |
0.245236 | + | 0.969463i | \(0.421134\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 11.1593i | 0.409948i | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −32.2779 | + | 32.2779i | −1.18416 | + | 1.18416i | −0.205505 | + | 0.978656i | \(0.565884\pi\) |
−0.978656 | + | 0.205505i | \(0.934116\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 4.31329 | − | 13.8043i | 0.158027 | − | 0.505749i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −3.28607 | − | 12.2638i | −0.120231 | − | 0.448708i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 1.59797 | + | 22.4185i | 0.0583885 | + | 0.819154i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −0.115708 | + | 0.200412i | −0.00422223 | + | 0.00731312i | −0.868129 | − | 0.496339i | \(-0.834677\pi\) |
0.863907 | + | 0.503652i | \(0.168011\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −4.06690 | − | 1.08972i | −0.148206 | − | 0.0397117i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 9.88155 | − | 9.10184i | 0.359626 | − | 0.331250i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −33.8884 | − | 33.8884i | −1.23169 | − | 1.23169i | −0.963313 | − | 0.268382i | \(-0.913511\pi\) |
−0.268382 | − | 0.963313i | \(-0.586489\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −7.32897 | − | 12.6942i | −0.266025 | − | 0.460769i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −17.9623 | − | 10.3705i | −0.651132 | − | 0.375931i | 0.137758 | − | 0.990466i | \(-0.456010\pi\) |
−0.788890 | + | 0.614535i | \(0.789344\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 9.95511 | + | 28.7858i | 0.360399 | + | 1.04212i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −7.47004 | + | 11.7927i | −0.270080 | + | 0.426367i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −3.05172 | + | 11.3892i | −0.110191 | + | 0.411239i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −52.0182 | −1.87583 | −0.937913 | − | 0.346872i | \(-0.887244\pi\) | ||||
−0.937913 | + | 0.346872i | \(0.887244\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −6.65342 | −0.239617 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −12.8398 | + | 47.9189i | −0.461817 | + | 1.72352i | 0.205415 | + | 0.978675i | \(0.434146\pi\) |
−0.667232 | + | 0.744850i | \(0.732521\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −19.5382 | + | 28.2126i | −0.701833 | + | 1.01342i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −28.4850 | − | 5.49716i | −1.02189 | − | 0.197210i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −5.94335 | − | 3.43139i | −0.212943 | − | 0.122942i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 1.06527 | + | 1.84511i | 0.0381184 | + | 0.0660230i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 11.3119 | + | 11.3119i | 0.404255 | + | 0.404255i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 0.630852 | − | 15.3593i | 0.0225161 | − | 0.548197i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −21.9988 | − | 5.89457i | −0.784174 | − | 0.210119i | −0.155550 | − | 0.987828i | \(-0.549715\pi\) |
−0.628624 | + | 0.777709i | \(0.716382\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 17.5195 | − | 30.3447i | 0.623712 | − | 1.08030i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 15.4434 | + | 22.8295i | 0.549105 | + | 0.811724i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −6.60590 | − | 24.6535i | −0.234582 | − | 0.875473i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 29.3722 | + | 9.17767i | 1.04172 | + | 0.325498i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 19.2056 | − | 19.2056i | 0.680298 | − | 0.680298i | −0.279770 | − | 0.960067i | \(-0.590258\pi\) |
0.960067 | + | 0.279770i | \(0.0902581\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 70.7112i | 2.50158i | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 5.30255 | − | 3.06143i | 0.187356 | − | 0.108170i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −7.61617 | + | 2.04075i | −0.268769 | + | 0.0720164i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 4.74444 | + | 15.7889i | 0.167219 | + | 0.556485i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −0.418550 | + | 0.112150i | −0.0147337 | + | 0.00394787i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −31.8924 | + | 18.4131i | −1.12128 | + | 0.647370i | −0.941727 | − | 0.336379i | \(-0.890798\pi\) |
−0.179550 | + | 0.983749i | \(0.557464\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 15.8918i | 0.558036i | 0.960286 | + | 0.279018i | \(0.0900089\pi\) | ||||
−0.960286 | + | 0.279018i | \(0.909991\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −27.8772 | + | 27.8772i | −0.977695 | + | 0.977695i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −25.9267 | + | 13.5818i | −0.908172 | + | 0.475751i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0.880259 | + | 3.28517i | 0.0307963 | + | 0.114934i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −17.3092 | + | 1.23378i | −0.604834 | + | 0.0431119i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 2.11251 | − | 3.65898i | 0.0737272 | − | 0.127699i | −0.826805 | − | 0.562489i | \(-0.809844\pi\) |
0.900532 | + | 0.434790i | \(0.143177\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 50.1654 | + | 13.4418i | 1.74866 | + | 0.468551i | 0.984339 | − | 0.176287i | \(-0.0564087\pi\) |
0.764319 | + | 0.644839i | \(0.223075\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 20.0592 | − | 17.0091i | 0.698373 | − | 0.592180i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 8.41389 | + | 8.41389i | 0.292580 | + | 0.292580i | 0.838099 | − | 0.545519i | \(-0.183667\pi\) |
−0.545519 | + | 0.838099i | \(0.683667\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −15.4011 | − | 26.6755i | −0.534903 | − | 0.926479i | −0.999168 | − | 0.0407825i | \(-0.987015\pi\) |
0.464265 | − | 0.885696i | \(-0.346318\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 34.4882 | + | 19.9118i | 1.19638 | + | 0.690732i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 34.3110 | + | 25.7107i | 1.18881 | + | 0.890825i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 16.9299 | + | 10.7242i | 0.585884 | + | 0.371125i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −10.0485 | + | 37.5015i | −0.347327 | + | 1.29624i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −34.0803 | −1.17658 | −0.588292 | − | 0.808649i | \(-0.700199\pi\) | ||||
−0.588292 | + | 0.808649i | \(0.700199\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 21.0020 | 0.724206 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 0.948106 | − | 3.53838i | 0.0326545 | − | 0.121868i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 61.9844 | − | 13.9097i | 2.13233 | − | 0.478509i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −5.93346 | − | 5.14388i | −0.203876 | − | 0.176746i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 22.0028 | + | 12.7033i | 0.755134 | + | 0.435977i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 10.8556 | + | 18.8024i | 0.372124 | + | 0.644537i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 31.8639 | + | 31.8639i | 1.09100 | + | 1.09100i | 0.995422 | + | 0.0955790i | \(0.0304703\pi\) |
0.0955790 | + | 0.995422i | \(0.469530\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −1.90257 | − | 2.06555i | −0.0650664 | − | 0.0706403i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −4.50274 | − | 1.20650i | −0.153811 | − | 0.0412134i | 0.181092 | − | 0.983466i | \(-0.442037\pi\) |
−0.334903 | + | 0.942253i | \(0.608703\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −5.08567 | + | 8.80865i | −0.173521 | + | 0.300547i | −0.939648 | − | 0.342142i | \(-0.888848\pi\) |
0.766127 | + | 0.642689i | \(0.222181\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −9.06640 | + | 18.6525i | −0.308982 | + | 0.635677i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −6.63845 | − | 24.7750i | −0.225976 | − | 0.843352i | −0.982011 | − | 0.188822i | \(-0.939533\pi\) |
0.756036 | − | 0.654530i | \(-0.227134\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −2.09955 | − | 4.00788i | −0.0713868 | − | 0.136272i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −20.4172 | + | 20.4172i | −0.693403 | + | 0.693403i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | − | 40.8885i | − | 1.38705i | ||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −45.7870 | + | 26.4351i | −1.55143 | + | 0.895720i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −5.16123 | + | 1.38295i | −0.174681 | + | 0.0468056i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −26.3514 | + | 13.4389i | −0.890839 | + | 0.454319i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 34.3421 | − | 9.20193i | 1.15965 | − | 0.310727i | 0.372824 | − | 0.927902i | \(-0.378390\pi\) |
0.786826 | + | 0.617175i | \(0.211723\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 29.7038 | − | 17.1495i | 1.00188 | − | 0.578438i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | − | 6.87670i | − | 0.231682i | −0.993268 | − | 0.115841i | \(-0.963044\pi\) | ||
0.993268 | − | 0.115841i | \(-0.0369563\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 3.32125 | − | 3.32125i | 0.111769 | − | 0.111769i | −0.649011 | − | 0.760779i | \(-0.724817\pi\) |
0.760779 | + | 0.649011i | \(0.224817\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 2.67579 | + | 5.10788i | 0.0899457 | + | 0.171700i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −0.237821 | − | 0.887559i | −0.00798524 | − | 0.0298013i | 0.961818 | − | 0.273689i | \(-0.0882439\pi\) |
−0.969804 | + | 0.243888i | \(0.921577\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 26.5397 | − | 17.9533i | 0.890113 | − | 0.602133i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 9.16296 | − | 15.8707i | 0.306971 | − | 0.531689i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −13.7403 | − | 3.68169i | −0.459801 | − | 0.123203i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −6.20475 | − | 6.73628i | −0.207402 | − | 0.225169i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −17.8460 | − | 17.8460i | −0.595861 | − | 0.595861i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −9.70525 | − | 16.8100i | −0.323688 | − | 0.560644i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −51.8685 | − | 29.9463i | −1.72799 | − | 0.997656i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 9.71348 | − | 3.35925i | 0.323245 | − | 0.111789i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 23.1985 | − | 5.20590i | 0.771145 | − | 0.173050i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −6.47600 | + | 24.1687i | −0.215032 | + | 0.802510i | 0.771123 | + | 0.636686i | \(0.219695\pi\) |
−0.986155 | + | 0.165824i | \(0.946972\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 4.07614 | 0.135197 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 32.2439 | 1.06829 | 0.534144 | − | 0.845394i | \(-0.320634\pi\) | ||||
0.534144 | + | 0.845394i | \(0.320634\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 12.0494 | − | 44.9691i | 0.398778 | − | 1.48826i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −10.5445 | − | 6.67937i | −0.348591 | − | 0.220813i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −2.03023 | + | 2.34186i | −0.0670440 | + | 0.0773352i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 41.7517 | + | 24.1054i | 1.37726 | + | 0.795163i | 0.991829 | − | 0.127573i | \(-0.0407187\pi\) |
0.385433 | + | 0.922736i | \(0.374052\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 11.2828 | + | 19.5423i | 0.371780 | + | 0.643942i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 2.59393 | + | 2.59393i | 0.0853803 | + | 0.0853803i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −29.7114 | + | 25.1936i | −0.976906 | + | 0.828360i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 2.70815 | + | 0.725645i | 0.0889472 | + | 0.0238333i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 18.1318 | − | 31.4051i | 0.594884 | − | 1.03037i | −0.398679 | − | 0.917090i | \(-0.630531\pi\) |
0.993563 | − | 0.113279i | \(-0.0361354\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −6.78245 | + | 5.32848i | −0.222286 | + | 0.174634i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 7.56674 | + | 28.2395i | 0.247724 | + | 0.924518i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −45.3424 | + | 23.7529i | −1.48286 | + | 0.776801i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 0.255843 | − | 0.255843i | 0.00835802 | − | 0.00835802i | −0.702915 | − | 0.711273i | \(-0.748119\pi\) |
0.711273 | + | 0.702915i | \(0.248119\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | − | 10.7002i | − | 0.349188i | ||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −20.3365 | + | 11.7413i | −0.662949 | + | 0.382754i | −0.793400 | − | 0.608701i | \(-0.791691\pi\) |
0.130450 | + | 0.991455i | \(0.458358\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 14.9921 | − | 4.01712i | 0.488210 | − | 0.130815i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −22.9404 | + | 24.3651i | −0.746251 | + | 0.792598i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 40.2893 | − | 10.7955i | 1.30923 | − | 0.350806i | 0.464296 | − | 0.885680i | \(-0.346308\pi\) |
0.844932 | + | 0.534874i | \(0.179641\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −11.7573 | + | 6.78806i | −0.381657 | + | 0.220350i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 2.40891i | 0.0781143i | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 5.97702 | − | 5.97702i | 0.193615 | − | 0.193615i | −0.603641 | − | 0.797256i | \(-0.706284\pi\) |
0.797256 | + | 0.603641i | \(0.206284\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 27.1890 | + | 8.49549i | 0.879814 | + | 0.274908i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 3.85009 | + | 14.3687i | 0.124456 | + | 0.464475i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −24.4169 | − | 11.8683i | −0.788464 | − | 0.383247i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 8.05379 | − | 13.9496i | 0.259800 | − | 0.449986i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 8.36335 | + | 2.24095i | 0.269505 | + | 0.0722137i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 1.05780 | − | 25.7542i | 0.0340518 | − | 0.829056i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 34.9020 | + | 34.9020i | 1.12237 | + | 1.12237i | 0.991384 | + | 0.130988i | \(0.0418148\pi\) |
0.130988 | + | 0.991384i | \(0.458185\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −5.31088 | − | 9.19871i | −0.170610 | − | 0.295505i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −40.5558 | − | 23.4149i | −1.30150 | − | 0.751419i | −0.320836 | − | 0.947135i | \(-0.603964\pi\) |
−0.980661 | + | 0.195716i | \(0.937297\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 4.06417 | − | 21.0596i | 0.130291 | − | 0.675139i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 25.7813 | − | 37.2275i | 0.825664 | − | 1.19223i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 1.29406 | − | 4.82951i | 0.0414008 | − | 0.154510i | −0.942131 | − | 0.335245i | \(-0.891181\pi\) |
0.983532 | + | 0.180735i | \(0.0578477\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 22.4514 | 0.717550 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 11.7338 | 0.374633 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 13.9719 | − | 52.1438i | 0.445634 | − | 1.66313i | −0.268624 | − | 0.963245i | \(-0.586569\pi\) |
0.714258 | − | 0.699883i | \(-0.246764\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −7.38293 | + | 11.6552i | −0.235240 | + | 0.371366i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −8.14565 | + | 42.2089i | −0.259279 | + | 1.34352i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −6.66135 | − | 3.84593i | −0.211819 | − | 0.122294i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 0.608356 | + | 1.05370i | 0.0193251 | + | 0.0334720i | 0.875526 | − | 0.483171i | \(-0.160515\pi\) |
−0.856201 | + | 0.516643i | \(0.827182\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −25.8919 | − | 25.8919i | −0.821656 | − | 0.821656i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 28.9522 | − | 26.6678i | 0.917848 | − | 0.845425i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −19.8462 | − | 5.31777i | −0.628536 | − | 0.168416i | −0.0695305 | − | 0.997580i | \(-0.522150\pi\) |
−0.559005 | + | 0.829164i | \(0.688817\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −22.0355 | + | 38.1665i | −0.697171 | + | 1.20754i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 280.2.bo.a.257.4 | yes | 48 | |
4.3 | odd | 2 | 560.2.ci.e.257.9 | 48 | |||
5.3 | odd | 4 | inner | 280.2.bo.a.33.4 | yes | 48 | |
7.3 | odd | 6 | inner | 280.2.bo.a.17.4 | ✓ | 48 | |
20.3 | even | 4 | 560.2.ci.e.33.9 | 48 | |||
28.3 | even | 6 | 560.2.ci.e.17.9 | 48 | |||
35.3 | even | 12 | inner | 280.2.bo.a.73.4 | yes | 48 | |
140.3 | odd | 12 | 560.2.ci.e.353.9 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.bo.a.17.4 | ✓ | 48 | 7.3 | odd | 6 | inner | |
280.2.bo.a.33.4 | yes | 48 | 5.3 | odd | 4 | inner | |
280.2.bo.a.73.4 | yes | 48 | 35.3 | even | 12 | inner | |
280.2.bo.a.257.4 | yes | 48 | 1.1 | even | 1 | trivial | |
560.2.ci.e.17.9 | 48 | 28.3 | even | 6 | |||
560.2.ci.e.33.9 | 48 | 20.3 | even | 4 | |||
560.2.ci.e.257.9 | 48 | 4.3 | odd | 2 | |||
560.2.ci.e.353.9 | 48 | 140.3 | odd | 12 |