Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [882,2,Mod(361,882)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(882, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("882.361");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 882 = 2 \cdot 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 882.g (of order \(3\), degree \(2\), 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: | \(7.04280545828\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\Q(\sqrt{2}, \sqrt{-3})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} + 2x^{2} + 4 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 361.1 | ||
Root | \(-0.707107 - 1.22474i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 882.361 |
Dual form | 882.2.g.m.667.1 |
$q$-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 \(\left(\mathbb{Z}/882\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(785\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | + | 0.866025i | 0.353553 | + | 0.612372i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | ||||
\(5\) | −0.707107 | − | 1.22474i | −0.316228 | − | 0.547723i | 0.663470 | − | 0.748203i | \(-0.269083\pi\) |
−0.979698 | + | 0.200480i | \(0.935750\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.707107 | − | 1.22474i | 0.223607 | − | 0.387298i | ||||
\(11\) | 2.00000 | − | 3.46410i | 0.603023 | − | 1.04447i | −0.389338 | − | 0.921095i | \(-0.627296\pi\) |
0.992361 | − | 0.123371i | \(-0.0393705\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −4.24264 | −1.17670 | −0.588348 | − | 0.808608i | \(-0.700222\pi\) | ||||
−0.588348 | + | 0.808608i | \(0.700222\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | 3.53553 | − | 6.12372i | 0.857493 | − | 1.48522i | −0.0168199 | − | 0.999859i | \(-0.505354\pi\) |
0.874313 | − | 0.485363i | \(-0.161312\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.82843 | − | 4.89898i | −0.648886 | − | 1.12390i | −0.983389 | − | 0.181509i | \(-0.941902\pi\) |
0.334504 | − | 0.942394i | \(-0.391431\pi\) | |||||||
\(20\) | 1.41421 | 0.316228 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 4.00000 | 0.852803 | ||||||||
\(23\) | 4.00000 | + | 6.92820i | 0.834058 | + | 1.44463i | 0.894795 | + | 0.446476i | \(0.147321\pi\) |
−0.0607377 | + | 0.998154i | \(0.519345\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.50000 | − | 2.59808i | 0.300000 | − | 0.519615i | ||||
\(26\) | −2.12132 | − | 3.67423i | −0.416025 | − | 0.720577i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −2.00000 | −0.371391 | −0.185695 | − | 0.982607i | \(-0.559454\pi\) | ||||
−0.185695 | + | 0.982607i | \(0.559454\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(32\) | 0.500000 | − | 0.866025i | 0.0883883 | − | 0.153093i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 7.07107 | 1.21268 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −2.00000 | − | 3.46410i | −0.328798 | − | 0.569495i | 0.653476 | − | 0.756948i | \(-0.273310\pi\) |
−0.982274 | + | 0.187453i | \(0.939977\pi\) | |||||||
\(38\) | 2.82843 | − | 4.89898i | 0.458831 | − | 0.794719i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.707107 | + | 1.22474i | 0.111803 | + | 0.193649i | ||||
\(41\) | 9.89949 | 1.54604 | 0.773021 | − | 0.634381i | \(-0.218745\pi\) | ||||
0.773021 | + | 0.634381i | \(0.218745\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −4.00000 | −0.609994 | −0.304997 | − | 0.952353i | \(-0.598656\pi\) | ||||
−0.304997 | + | 0.952353i | \(0.598656\pi\) | |||||||
\(44\) | 2.00000 | + | 3.46410i | 0.301511 | + | 0.522233i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −4.00000 | + | 6.92820i | −0.589768 | + | 1.02151i | ||||
\(47\) | −2.82843 | − | 4.89898i | −0.412568 | − | 0.714590i | 0.582601 | − | 0.812758i | \(-0.302035\pi\) |
−0.995170 | + | 0.0981685i | \(0.968702\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 3.00000 | 0.424264 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 2.12132 | − | 3.67423i | 0.294174 | − | 0.509525i | ||||
\(53\) | 2.00000 | − | 3.46410i | 0.274721 | − | 0.475831i | −0.695344 | − | 0.718677i | \(-0.744748\pi\) |
0.970065 | + | 0.242846i | \(0.0780811\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −5.65685 | −0.762770 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −1.00000 | − | 1.73205i | −0.131306 | − | 0.227429i | ||||
\(59\) | 5.65685 | − | 9.79796i | 0.736460 | − | 1.27559i | −0.217620 | − | 0.976034i | \(-0.569829\pi\) |
0.954080 | − | 0.299552i | \(-0.0968372\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.707107 | + | 1.22474i | 0.0905357 | + | 0.156813i | 0.907737 | − | 0.419540i | \(-0.137809\pi\) |
−0.817201 | + | 0.576353i | \(0.804475\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 3.00000 | + | 5.19615i | 0.372104 | + | 0.644503i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 6.00000 | − | 10.3923i | 0.733017 | − | 1.26962i | −0.222571 | − | 0.974916i | \(-0.571445\pi\) |
0.955588 | − | 0.294706i | \(-0.0952216\pi\) | |||||||
\(68\) | 3.53553 | + | 6.12372i | 0.428746 | + | 0.742611i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −7.77817 | + | 13.4722i | −0.910366 | + | 1.57680i | −0.0968194 | + | 0.995302i | \(0.530867\pi\) |
−0.813547 | + | 0.581499i | \(0.802466\pi\) | |||||||
\(74\) | 2.00000 | − | 3.46410i | 0.232495 | − | 0.402694i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 5.65685 | 0.648886 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 8.00000 | + | 13.8564i | 0.900070 | + | 1.55897i | 0.827401 | + | 0.561611i | \(0.189818\pi\) |
0.0726692 | + | 0.997356i | \(0.476848\pi\) | |||||||
\(80\) | −0.707107 | + | 1.22474i | −0.0790569 | + | 0.136931i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 4.94975 | + | 8.57321i | 0.546608 | + | 0.946753i | ||||
\(83\) | −5.65685 | −0.620920 | −0.310460 | − | 0.950586i | \(-0.600483\pi\) | ||||
−0.310460 | + | 0.950586i | \(0.600483\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −10.0000 | −1.08465 | ||||||||
\(86\) | −2.00000 | − | 3.46410i | −0.215666 | − | 0.373544i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −2.00000 | + | 3.46410i | −0.213201 | + | 0.369274i | ||||
\(89\) | −3.53553 | − | 6.12372i | −0.374766 | − | 0.649113i | 0.615526 | − | 0.788116i | \(-0.288944\pi\) |
−0.990292 | + | 0.139003i | \(0.955610\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −8.00000 | −0.834058 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 2.82843 | − | 4.89898i | 0.291730 | − | 0.505291i | ||||
\(95\) | −4.00000 | + | 6.92820i | −0.410391 | + | 0.710819i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −7.07107 | −0.717958 | −0.358979 | − | 0.933346i | \(-0.616875\pi\) | ||||
−0.358979 | + | 0.933346i | \(0.616875\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 1.50000 | + | 2.59808i | 0.150000 | + | 0.259808i | ||||
\(101\) | −6.36396 | + | 11.0227i | −0.633238 | + | 1.09680i | 0.353648 | + | 0.935379i | \(0.384941\pi\) |
−0.986886 | + | 0.161421i | \(0.948392\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 2.82843 | + | 4.89898i | 0.278693 | + | 0.482711i | 0.971060 | − | 0.238835i | \(-0.0767654\pi\) |
−0.692367 | + | 0.721545i | \(0.743432\pi\) | |||||||
\(104\) | 4.24264 | 0.416025 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 4.00000 | 0.388514 | ||||||||
\(107\) | −2.00000 | − | 3.46410i | −0.193347 | − | 0.334887i | 0.753010 | − | 0.658009i | \(-0.228601\pi\) |
−0.946357 | + | 0.323122i | \(0.895268\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −2.00000 | + | 3.46410i | −0.191565 | + | 0.331801i | −0.945769 | − | 0.324840i | \(-0.894690\pi\) |
0.754204 | + | 0.656640i | \(0.228023\pi\) | |||||||
\(110\) | −2.82843 | − | 4.89898i | −0.269680 | − | 0.467099i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 5.65685 | − | 9.79796i | 0.527504 | − | 0.913664i | ||||
\(116\) | 1.00000 | − | 1.73205i | 0.0928477 | − | 0.160817i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 11.3137 | 1.04151 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −2.50000 | − | 4.33013i | −0.227273 | − | 0.393648i | ||||
\(122\) | −0.707107 | + | 1.22474i | −0.0640184 | + | 0.110883i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −11.3137 | −1.01193 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −8.00000 | −0.709885 | −0.354943 | − | 0.934888i | \(-0.615500\pi\) | ||||
−0.354943 | + | 0.934888i | \(0.615500\pi\) | |||||||
\(128\) | 0.500000 | + | 0.866025i | 0.0441942 | + | 0.0765466i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −3.00000 | + | 5.19615i | −0.263117 | + | 0.455733i | ||||
\(131\) | 8.48528 | + | 14.6969i | 0.741362 | + | 1.28408i | 0.951875 | + | 0.306486i | \(0.0991534\pi\) |
−0.210513 | + | 0.977591i | \(0.567513\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 12.0000 | 1.03664 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −3.53553 | + | 6.12372i | −0.303170 | + | 0.525105i | ||||
\(137\) | 3.00000 | − | 5.19615i | 0.256307 | − | 0.443937i | −0.708942 | − | 0.705266i | \(-0.750827\pi\) |
0.965250 | + | 0.261329i | \(0.0841608\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 5.65685 | 0.479808 | 0.239904 | − | 0.970797i | \(-0.422884\pi\) | ||||
0.239904 | + | 0.970797i | \(0.422884\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −8.48528 | + | 14.6969i | −0.709575 | + | 1.22902i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 1.41421 | + | 2.44949i | 0.117444 | + | 0.203419i | ||||
\(146\) | −15.5563 | −1.28745 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 4.00000 | 0.328798 | ||||||||
\(149\) | −10.0000 | − | 17.3205i | −0.819232 | − | 1.41895i | −0.906249 | − | 0.422744i | \(-0.861067\pi\) |
0.0870170 | − | 0.996207i | \(-0.472267\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 8.00000 | − | 13.8564i | 0.651031 | − | 1.12762i | −0.331842 | − | 0.943335i | \(-0.607670\pi\) |
0.982873 | − | 0.184284i | \(-0.0589965\pi\) | |||||||
\(152\) | 2.82843 | + | 4.89898i | 0.229416 | + | 0.397360i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −9.19239 | + | 15.9217i | −0.733632 | + | 1.27069i | 0.221688 | + | 0.975118i | \(0.428843\pi\) |
−0.955321 | + | 0.295571i | \(0.904490\pi\) | |||||||
\(158\) | −8.00000 | + | 13.8564i | −0.636446 | + | 1.10236i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −1.41421 | −0.111803 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −2.00000 | − | 3.46410i | −0.156652 | − | 0.271329i | 0.777007 | − | 0.629492i | \(-0.216737\pi\) |
−0.933659 | + | 0.358162i | \(0.883403\pi\) | |||||||
\(164\) | −4.94975 | + | 8.57321i | −0.386510 | + | 0.669456i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −2.82843 | − | 4.89898i | −0.219529 | − | 0.380235i | ||||
\(167\) | 11.3137 | 0.875481 | 0.437741 | − | 0.899101i | \(-0.355779\pi\) | ||||
0.437741 | + | 0.899101i | \(0.355779\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 5.00000 | 0.384615 | ||||||||
\(170\) | −5.00000 | − | 8.66025i | −0.383482 | − | 0.664211i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 2.00000 | − | 3.46410i | 0.152499 | − | 0.264135i | ||||
\(173\) | 6.36396 | + | 11.0227i | 0.483843 | + | 0.838041i | 0.999828 | − | 0.0185571i | \(-0.00590724\pi\) |
−0.515985 | + | 0.856598i | \(0.672574\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −4.00000 | −0.301511 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 3.53553 | − | 6.12372i | 0.264999 | − | 0.458993i | ||||
\(179\) | −6.00000 | + | 10.3923i | −0.448461 | + | 0.776757i | −0.998286 | − | 0.0585225i | \(-0.981361\pi\) |
0.549825 | + | 0.835280i | \(0.314694\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −12.7279 | −0.946059 | −0.473029 | − | 0.881047i | \(-0.656840\pi\) | ||||
−0.473029 | + | 0.881047i | \(0.656840\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −4.00000 | − | 6.92820i | −0.294884 | − | 0.510754i | ||||
\(185\) | −2.82843 | + | 4.89898i | −0.207950 | + | 0.360180i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −14.1421 | − | 24.4949i | −1.03418 | − | 1.79124i | ||||
\(188\) | 5.65685 | 0.412568 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −8.00000 | −0.580381 | ||||||||
\(191\) | −8.00000 | − | 13.8564i | −0.578860 | − | 1.00261i | −0.995610 | − | 0.0935936i | \(-0.970165\pi\) |
0.416751 | − | 0.909021i | \(-0.363169\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −7.00000 | + | 12.1244i | −0.503871 | + | 0.872730i | 0.496119 | + | 0.868255i | \(0.334758\pi\) |
−0.999990 | + | 0.00447566i | \(0.998575\pi\) | |||||||
\(194\) | −3.53553 | − | 6.12372i | −0.253837 | − | 0.439658i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 4.00000 | 0.284988 | 0.142494 | − | 0.989796i | \(-0.454488\pi\) | ||||
0.142494 | + | 0.989796i | \(0.454488\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 8.48528 | − | 14.6969i | 0.601506 | − | 1.04184i | −0.391088 | − | 0.920353i | \(-0.627901\pi\) |
0.992593 | − | 0.121485i | \(-0.0387656\pi\) | |||||||
\(200\) | −1.50000 | + | 2.59808i | −0.106066 | + | 0.183712i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −12.7279 | −0.895533 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −7.00000 | − | 12.1244i | −0.488901 | − | 0.846802i | ||||
\(206\) | −2.82843 | + | 4.89898i | −0.197066 | + | 0.341328i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 2.12132 | + | 3.67423i | 0.147087 | + | 0.254762i | ||||
\(209\) | −22.6274 | −1.56517 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 12.0000 | 0.826114 | 0.413057 | − | 0.910705i | \(-0.364461\pi\) | ||||
0.413057 | + | 0.910705i | \(0.364461\pi\) | |||||||
\(212\) | 2.00000 | + | 3.46410i | 0.137361 | + | 0.237915i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 2.00000 | − | 3.46410i | 0.136717 | − | 0.236801i | ||||
\(215\) | 2.82843 | + | 4.89898i | 0.192897 | + | 0.334108i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −4.00000 | −0.270914 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 2.82843 | − | 4.89898i | 0.190693 | − | 0.330289i | ||||
\(221\) | −15.0000 | + | 25.9808i | −1.00901 | + | 1.74766i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 16.9706 | 1.13643 | 0.568216 | − | 0.822879i | \(-0.307634\pi\) | ||||
0.568216 | + | 0.822879i | \(0.307634\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −8.48528 | + | 14.6969i | −0.563188 | + | 0.975470i | 0.434028 | + | 0.900899i | \(0.357092\pi\) |
−0.997216 | + | 0.0745706i | \(0.976241\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 6.36396 | + | 11.0227i | 0.420542 | + | 0.728401i | 0.995993 | − | 0.0894361i | \(-0.0285065\pi\) |
−0.575450 | + | 0.817837i | \(0.695173\pi\) | |||||||
\(230\) | 11.3137 | 0.746004 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 2.00000 | 0.131306 | ||||||||
\(233\) | −3.00000 | − | 5.19615i | −0.196537 | − | 0.340411i | 0.750867 | − | 0.660454i | \(-0.229636\pi\) |
−0.947403 | + | 0.320043i | \(0.896303\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −4.00000 | + | 6.92820i | −0.260931 | + | 0.451946i | ||||
\(236\) | 5.65685 | + | 9.79796i | 0.368230 | + | 0.637793i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 24.0000 | 1.55243 | 0.776215 | − | 0.630468i | \(-0.217137\pi\) | ||||
0.776215 | + | 0.630468i | \(0.217137\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 2.12132 | − | 3.67423i | 0.136646 | − | 0.236678i | −0.789579 | − | 0.613649i | \(-0.789701\pi\) |
0.926225 | + | 0.376971i | \(0.123034\pi\) | |||||||
\(242\) | 2.50000 | − | 4.33013i | 0.160706 | − | 0.278351i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −1.41421 | −0.0905357 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 12.0000 | + | 20.7846i | 0.763542 | + | 1.32249i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −5.65685 | − | 9.79796i | −0.357771 | − | 0.619677i | ||||
\(251\) | −5.65685 | −0.357057 | −0.178529 | − | 0.983935i | \(-0.557134\pi\) | ||||
−0.178529 | + | 0.983935i | \(0.557134\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 32.0000 | 2.01182 | ||||||||
\(254\) | −4.00000 | − | 6.92820i | −0.250982 | − | 0.434714i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 6.36396 | + | 11.0227i | 0.396973 | + | 0.687577i | 0.993351 | − | 0.115126i | \(-0.0367273\pi\) |
−0.596378 | + | 0.802704i | \(0.703394\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −6.00000 | −0.372104 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −8.48528 | + | 14.6969i | −0.524222 | + | 0.907980i | ||||
\(263\) | 12.0000 | − | 20.7846i | 0.739952 | − | 1.28163i | −0.212565 | − | 0.977147i | \(-0.568182\pi\) |
0.952517 | − | 0.304487i | \(-0.0984850\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −5.65685 | −0.347498 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 6.00000 | + | 10.3923i | 0.366508 | + | 0.634811i | ||||
\(269\) | 0.707107 | − | 1.22474i | 0.0431131 | − | 0.0746740i | −0.843664 | − | 0.536872i | \(-0.819606\pi\) |
0.886777 | + | 0.462198i | \(0.152939\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −2.82843 | − | 4.89898i | −0.171815 | − | 0.297592i | 0.767240 | − | 0.641361i | \(-0.221630\pi\) |
−0.939054 | + | 0.343769i | \(0.888296\pi\) | |||||||
\(272\) | −7.07107 | −0.428746 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 6.00000 | 0.362473 | ||||||||
\(275\) | −6.00000 | − | 10.3923i | −0.361814 | − | 0.626680i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −5.00000 | + | 8.66025i | −0.300421 | + | 0.520344i | −0.976231 | − | 0.216731i | \(-0.930460\pi\) |
0.675810 | + | 0.737075i | \(0.263794\pi\) | |||||||
\(278\) | 2.82843 | + | 4.89898i | 0.169638 | + | 0.293821i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −10.0000 | −0.596550 | −0.298275 | − | 0.954480i | \(-0.596411\pi\) | ||||
−0.298275 | + | 0.954480i | \(0.596411\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 11.3137 | − | 19.5959i | 0.672530 | − | 1.16486i | −0.304654 | − | 0.952463i | \(-0.598541\pi\) |
0.977184 | − | 0.212393i | \(-0.0681258\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −16.9706 | −1.00349 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −16.5000 | − | 28.5788i | −0.970588 | − | 1.68111i | ||||
\(290\) | −1.41421 | + | 2.44949i | −0.0830455 | + | 0.143839i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −7.77817 | − | 13.4722i | −0.455183 | − | 0.788400i | ||||
\(293\) | 24.0416 | 1.40453 | 0.702264 | − | 0.711917i | \(-0.252173\pi\) | ||||
0.702264 | + | 0.711917i | \(0.252173\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −16.0000 | −0.931556 | ||||||||
\(296\) | 2.00000 | + | 3.46410i | 0.116248 | + | 0.201347i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 10.0000 | − | 17.3205i | 0.579284 | − | 1.00335i | ||||
\(299\) | −16.9706 | − | 29.3939i | −0.981433 | − | 1.69989i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 16.0000 | 0.920697 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −2.82843 | + | 4.89898i | −0.162221 | + | 0.280976i | ||||
\(305\) | 1.00000 | − | 1.73205i | 0.0572598 | − | 0.0991769i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −5.65685 | −0.322854 | −0.161427 | − | 0.986885i | \(-0.551610\pi\) | ||||
−0.161427 | + | 0.986885i | \(0.551610\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 2.82843 | − | 4.89898i | 0.160385 | − | 0.277796i | −0.774622 | − | 0.632425i | \(-0.782060\pi\) |
0.935007 | + | 0.354629i | \(0.115393\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 10.6066 | + | 18.3712i | 0.599521 | + | 1.03840i | 0.992892 | + | 0.119020i | \(0.0379754\pi\) |
−0.393371 | + | 0.919380i | \(0.628691\pi\) | |||||||
\(314\) | −18.3848 | −1.03751 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −16.0000 | −0.900070 | ||||||||
\(317\) | 14.0000 | + | 24.2487i | 0.786318 | + | 1.36194i | 0.928208 | + | 0.372061i | \(0.121349\pi\) |
−0.141890 | + | 0.989882i | \(0.545318\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −4.00000 | + | 6.92820i | −0.223957 | + | 0.387905i | ||||
\(320\) | −0.707107 | − | 1.22474i | −0.0395285 | − | 0.0684653i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −40.0000 | −2.22566 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −6.36396 | + | 11.0227i | −0.353009 | + | 0.611430i | ||||
\(326\) | 2.00000 | − | 3.46410i | 0.110770 | − | 0.191859i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −9.89949 | −0.546608 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 10.0000 | + | 17.3205i | 0.549650 | + | 0.952021i | 0.998298 | + | 0.0583130i | \(0.0185721\pi\) |
−0.448649 | + | 0.893708i | \(0.648095\pi\) | |||||||
\(332\) | 2.82843 | − | 4.89898i | 0.155230 | − | 0.268866i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 5.65685 | + | 9.79796i | 0.309529 | + | 0.536120i | ||||
\(335\) | −16.9706 | −0.927201 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −16.0000 | −0.871576 | −0.435788 | − | 0.900049i | \(-0.643530\pi\) | ||||
−0.435788 | + | 0.900049i | \(0.643530\pi\) | |||||||
\(338\) | 2.50000 | + | 4.33013i | 0.135982 | + | 0.235528i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 5.00000 | − | 8.66025i | 0.271163 | − | 0.469668i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 4.00000 | 0.215666 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −6.36396 | + | 11.0227i | −0.342129 | + | 0.592584i | ||||
\(347\) | −6.00000 | + | 10.3923i | −0.322097 | + | 0.557888i | −0.980921 | − | 0.194409i | \(-0.937721\pi\) |
0.658824 | + | 0.752297i | \(0.271054\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 29.6985 | 1.58972 | 0.794862 | − | 0.606791i | \(-0.207543\pi\) | ||||
0.794862 | + | 0.606791i | \(0.207543\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −2.00000 | − | 3.46410i | −0.106600 | − | 0.184637i | ||||
\(353\) | −0.707107 | + | 1.22474i | −0.0376355 | + | 0.0651866i | −0.884230 | − | 0.467052i | \(-0.845316\pi\) |
0.846594 | + | 0.532239i | \(0.178649\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 7.07107 | 0.374766 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −12.0000 | −0.634220 | ||||||||
\(359\) | 8.00000 | + | 13.8564i | 0.422224 | + | 0.731313i | 0.996157 | − | 0.0875892i | \(-0.0279163\pi\) |
−0.573933 | + | 0.818902i | \(0.694583\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −6.50000 | + | 11.2583i | −0.342105 | + | 0.592544i | ||||
\(362\) | −6.36396 | − | 11.0227i | −0.334482 | − | 0.579340i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 22.0000 | 1.15153 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 2.82843 | − | 4.89898i | 0.147643 | − | 0.255725i | −0.782713 | − | 0.622383i | \(-0.786165\pi\) |
0.930356 | + | 0.366658i | \(0.119498\pi\) | |||||||
\(368\) | 4.00000 | − | 6.92820i | 0.208514 | − | 0.361158i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −5.65685 | −0.294086 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −5.00000 | − | 8.66025i | −0.258890 | − | 0.448411i | 0.707055 | − | 0.707159i | \(-0.250023\pi\) |
−0.965945 | + | 0.258748i | \(0.916690\pi\) | |||||||
\(374\) | 14.1421 | − | 24.4949i | 0.731272 | − | 1.26660i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 2.82843 | + | 4.89898i | 0.145865 | + | 0.252646i | ||||
\(377\) | 8.48528 | 0.437014 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 28.0000 | 1.43826 | 0.719132 | − | 0.694874i | \(-0.244540\pi\) | ||||
0.719132 | + | 0.694874i | \(0.244540\pi\) | |||||||
\(380\) | −4.00000 | − | 6.92820i | −0.205196 | − | 0.355409i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 8.00000 | − | 13.8564i | 0.409316 | − | 0.708955i | ||||
\(383\) | 2.82843 | + | 4.89898i | 0.144526 | + | 0.250326i | 0.929196 | − | 0.369587i | \(-0.120501\pi\) |
−0.784670 | + | 0.619914i | \(0.787168\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −14.0000 | −0.712581 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 3.53553 | − | 6.12372i | 0.179490 | − | 0.310885i | ||||
\(389\) | 13.0000 | − | 22.5167i | 0.659126 | − | 1.14164i | −0.321716 | − | 0.946836i | \(-0.604260\pi\) |
0.980842 | − | 0.194804i | \(-0.0624070\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 56.5685 | 2.86079 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 2.00000 | + | 3.46410i | 0.100759 | + | 0.174519i | ||||
\(395\) | 11.3137 | − | 19.5959i | 0.569254 | − | 0.985978i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 3.53553 | + | 6.12372i | 0.177443 | + | 0.307341i | 0.941004 | − | 0.338395i | \(-0.109884\pi\) |
−0.763561 | + | 0.645736i | \(0.776551\pi\) | |||||||
\(398\) | 16.9706 | 0.850657 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −3.00000 | −0.150000 | ||||||||
\(401\) | 9.00000 | + | 15.5885i | 0.449439 | + | 0.778450i | 0.998350 | − | 0.0574304i | \(-0.0182907\pi\) |
−0.548911 | + | 0.835881i | \(0.684957\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | −6.36396 | − | 11.0227i | −0.316619 | − | 0.548400i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −16.0000 | −0.793091 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −10.6066 | + | 18.3712i | −0.524463 | + | 0.908396i | 0.475132 | + | 0.879915i | \(0.342400\pi\) |
−0.999594 | + | 0.0284813i | \(0.990933\pi\) | |||||||
\(410\) | 7.00000 | − | 12.1244i | 0.345705 | − | 0.598779i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −5.65685 | −0.278693 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 4.00000 | + | 6.92820i | 0.196352 | + | 0.340092i | ||||
\(416\) | −2.12132 | + | 3.67423i | −0.104006 | + | 0.180144i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −11.3137 | − | 19.5959i | −0.553372 | − | 0.958468i | ||||
\(419\) | 22.6274 | 1.10542 | 0.552711 | − | 0.833373i | \(-0.313593\pi\) | ||||
0.552711 | + | 0.833373i | \(0.313593\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −6.00000 | −0.292422 | −0.146211 | − | 0.989253i | \(-0.546708\pi\) | ||||
−0.146211 | + | 0.989253i | \(0.546708\pi\) | |||||||
\(422\) | 6.00000 | + | 10.3923i | 0.292075 | + | 0.505889i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −2.00000 | + | 3.46410i | −0.0971286 | + | 0.168232i | ||||
\(425\) | −10.6066 | − | 18.3712i | −0.514496 | − | 0.891133i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 4.00000 | 0.193347 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −2.82843 | + | 4.89898i | −0.136399 | + | 0.236250i | ||||
\(431\) | 12.0000 | − | 20.7846i | 0.578020 | − | 1.00116i | −0.417687 | − | 0.908591i | \(-0.637159\pi\) |
0.995706 | − | 0.0925683i | \(-0.0295076\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 4.24264 | 0.203888 | 0.101944 | − | 0.994790i | \(-0.467494\pi\) | ||||
0.101944 | + | 0.994790i | \(0.467494\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −2.00000 | − | 3.46410i | −0.0957826 | − | 0.165900i | ||||
\(437\) | 22.6274 | − | 39.1918i | 1.08242 | − | 1.87480i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 16.9706 | + | 29.3939i | 0.809961 | + | 1.40289i | 0.912890 | + | 0.408205i | \(0.133845\pi\) |
−0.102930 | + | 0.994689i | \(0.532822\pi\) | |||||||
\(440\) | 5.65685 | 0.269680 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −30.0000 | −1.42695 | ||||||||
\(443\) | 10.0000 | + | 17.3205i | 0.475114 | + | 0.822922i | 0.999594 | − | 0.0285009i | \(-0.00907336\pi\) |
−0.524479 | + | 0.851423i | \(0.675740\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −5.00000 | + | 8.66025i | −0.237023 | + | 0.410535i | ||||
\(446\) | 8.48528 | + | 14.6969i | 0.401790 | + | 0.695920i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 24.0000 | 1.13263 | 0.566315 | − | 0.824189i | \(-0.308369\pi\) | ||||
0.566315 | + | 0.824189i | \(0.308369\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 19.7990 | − | 34.2929i | 0.932298 | − | 1.61479i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −16.9706 | −0.796468 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 3.00000 | + | 5.19615i | 0.140334 | + | 0.243066i | 0.927622 | − | 0.373519i | \(-0.121849\pi\) |
−0.787288 | + | 0.616585i | \(0.788516\pi\) | |||||||
\(458\) | −6.36396 | + | 11.0227i | −0.297368 | + | 0.515057i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 5.65685 | + | 9.79796i | 0.263752 | + | 0.456832i | ||||
\(461\) | −1.41421 | −0.0658665 | −0.0329332 | − | 0.999458i | \(-0.510485\pi\) | ||||
−0.0329332 | + | 0.999458i | \(0.510485\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −32.0000 | −1.48717 | −0.743583 | − | 0.668644i | \(-0.766875\pi\) | ||||
−0.743583 | + | 0.668644i | \(0.766875\pi\) | |||||||
\(464\) | 1.00000 | + | 1.73205i | 0.0464238 | + | 0.0804084i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 3.00000 | − | 5.19615i | 0.138972 | − | 0.240707i | ||||
\(467\) | −2.82843 | − | 4.89898i | −0.130884 | − | 0.226698i | 0.793134 | − | 0.609048i | \(-0.208448\pi\) |
−0.924018 | + | 0.382350i | \(0.875115\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −8.00000 | −0.369012 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −5.65685 | + | 9.79796i | −0.260378 | + | 0.450988i | ||||
\(473\) | −8.00000 | + | 13.8564i | −0.367840 | + | 0.637118i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −16.9706 | −0.778663 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 12.0000 | + | 20.7846i | 0.548867 | + | 0.950666i | ||||
\(479\) | 14.1421 | − | 24.4949i | 0.646171 | − | 1.11920i | −0.337859 | − | 0.941197i | \(-0.609703\pi\) |
0.984030 | − | 0.178004i | \(-0.0569639\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 8.48528 | + | 14.6969i | 0.386896 | + | 0.670123i | ||||
\(482\) | 4.24264 | 0.193247 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 5.00000 | 0.227273 | ||||||||
\(485\) | 5.00000 | + | 8.66025i | 0.227038 | + | 0.393242i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 12.0000 | − | 20.7846i | 0.543772 | − | 0.941841i | −0.454911 | − | 0.890537i | \(-0.650329\pi\) |
0.998683 | − | 0.0513038i | \(-0.0163377\pi\) | |||||||
\(488\) | −0.707107 | − | 1.22474i | −0.0320092 | − | 0.0554416i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 12.0000 | 0.541552 | 0.270776 | − | 0.962642i | \(-0.412720\pi\) | ||||
0.270776 | + | 0.962642i | \(0.412720\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −7.07107 | + | 12.2474i | −0.318465 | + | 0.551597i | ||||
\(494\) | −12.0000 | + | 20.7846i | −0.539906 | + | 0.935144i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 2.00000 | + | 3.46410i | 0.0895323 | + | 0.155074i | 0.907314 | − | 0.420455i | \(-0.138129\pi\) |
−0.817781 | + | 0.575529i | \(0.804796\pi\) | |||||||
\(500\) | 5.65685 | − | 9.79796i | 0.252982 | − | 0.438178i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −2.82843 | − | 4.89898i | −0.126239 | − | 0.218652i | ||||
\(503\) | 28.2843 | 1.26113 | 0.630567 | − | 0.776135i | \(-0.282823\pi\) | ||||
0.630567 | + | 0.776135i | \(0.282823\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 18.0000 | 0.800989 | ||||||||
\(506\) | 16.0000 | + | 27.7128i | 0.711287 | + | 1.23198i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 4.00000 | − | 6.92820i | 0.177471 | − | 0.307389i | ||||
\(509\) | −16.2635 | − | 28.1691i | −0.720865 | − | 1.24857i | −0.960653 | − | 0.277750i | \(-0.910411\pi\) |
0.239788 | − | 0.970825i | \(-0.422922\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −6.36396 | + | 11.0227i | −0.280702 | + | 0.486191i | ||||
\(515\) | 4.00000 | − | 6.92820i | 0.176261 | − | 0.305293i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −22.6274 | −0.995153 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −3.00000 | − | 5.19615i | −0.131559 | − | 0.227866i | ||||
\(521\) | −0.707107 | + | 1.22474i | −0.0309789 | + | 0.0536570i | −0.881099 | − | 0.472931i | \(-0.843196\pi\) |
0.850120 | + | 0.526589i | \(0.176529\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −16.9706 | − | 29.3939i | −0.742071 | − | 1.28530i | −0.951551 | − | 0.307492i | \(-0.900510\pi\) |
0.209480 | − | 0.977813i | \(-0.432823\pi\) | |||||||
\(524\) | −16.9706 | −0.741362 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 24.0000 | 1.04645 | ||||||||
\(527\) | 0 | 0 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −20.5000 | + | 35.5070i | −0.891304 | + | 1.54378i | ||||
\(530\) | −2.82843 | − | 4.89898i | −0.122859 | − | 0.212798i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −42.0000 | −1.81922 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −2.82843 | + | 4.89898i | −0.122284 | + | 0.211801i | ||||
\(536\) | −6.00000 | + | 10.3923i | −0.259161 | + | 0.448879i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 1.41421 | 0.0609711 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 1.00000 | + | 1.73205i | 0.0429934 | + | 0.0744667i | 0.886721 | − | 0.462304i | \(-0.152977\pi\) |
−0.843728 | + | 0.536771i | \(0.819644\pi\) | |||||||
\(542\) | 2.82843 | − | 4.89898i | 0.121491 | − | 0.210429i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −3.53553 | − | 6.12372i | −0.151585 | − | 0.262553i | ||||
\(545\) | 5.65685 | 0.242313 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 28.0000 | 1.19719 | 0.598597 | − | 0.801050i | \(-0.295725\pi\) | ||||
0.598597 | + | 0.801050i | \(0.295725\pi\) | |||||||
\(548\) | 3.00000 | + | 5.19615i | 0.128154 | + | 0.221969i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 6.00000 | − | 10.3923i | 0.255841 | − | 0.443129i | ||||
\(551\) | 5.65685 | + | 9.79796i | 0.240990 | + | 0.417407i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −10.0000 | −0.424859 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −2.82843 | + | 4.89898i | −0.119952 | + | 0.207763i | ||||
\(557\) | 18.0000 | − | 31.1769i | 0.762684 | − | 1.32101i | −0.178778 | − | 0.983890i | \(-0.557214\pi\) |
0.941462 | − | 0.337119i | \(-0.109452\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 16.9706 | 0.717778 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −5.00000 | − | 8.66025i | −0.210912 | − | 0.365311i | ||||
\(563\) | 5.65685 | − | 9.79796i | 0.238408 | − | 0.412935i | −0.721850 | − | 0.692050i | \(-0.756708\pi\) |
0.960258 | + | 0.279115i | \(0.0900411\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 22.6274 | 0.951101 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −13.0000 | − | 22.5167i | −0.544988 | − | 0.943948i | −0.998608 | − | 0.0527519i | \(-0.983201\pi\) |
0.453619 | − | 0.891196i | \(-0.350133\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −2.00000 | + | 3.46410i | −0.0836974 | + | 0.144968i | −0.904835 | − | 0.425762i | \(-0.860006\pi\) |
0.821138 | + | 0.570730i | \(0.193340\pi\) | |||||||
\(572\) | −8.48528 | − | 14.6969i | −0.354787 | − | 0.614510i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 24.0000 | 1.00087 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 6.36396 | − | 11.0227i | 0.264935 | − | 0.458881i | −0.702611 | − | 0.711574i | \(-0.747983\pi\) |
0.967547 | + | 0.252693i | \(0.0813161\pi\) | |||||||
\(578\) | 16.5000 | − | 28.5788i | 0.686310 | − | 1.18872i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −2.82843 | −0.117444 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −8.00000 | − | 13.8564i | −0.331326 | − | 0.573874i | ||||
\(584\) | 7.77817 | − | 13.4722i | 0.321863 | − | 0.557483i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 12.0208 | + | 20.8207i | 0.496575 | + | 0.860094i | ||||
\(587\) | −16.9706 | −0.700450 | −0.350225 | − | 0.936666i | \(-0.613895\pi\) | ||||
−0.350225 | + | 0.936666i | \(0.613895\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | −8.00000 | − | 13.8564i | −0.329355 | − | 0.570459i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −2.00000 | + | 3.46410i | −0.0821995 | + | 0.142374i | ||||
\(593\) | 17.6777 | + | 30.6186i | 0.725935 | + | 1.25736i | 0.958588 | + | 0.284796i | \(0.0919260\pi\) |
−0.232653 | + | 0.972560i | \(0.574741\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 20.0000 | 0.819232 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 16.9706 | − | 29.3939i | 0.693978 | − | 1.20201i | ||||
\(599\) | −8.00000 | + | 13.8564i | −0.326871 | + | 0.566157i | −0.981889 | − | 0.189456i | \(-0.939328\pi\) |
0.655018 | + | 0.755613i | \(0.272661\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −4.24264 | −0.173061 | −0.0865305 | − | 0.996249i | \(-0.527578\pi\) | ||||
−0.0865305 | + | 0.996249i | \(0.527578\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 8.00000 | + | 13.8564i | 0.325515 | + | 0.563809i | ||||
\(605\) | −3.53553 | + | 6.12372i | −0.143740 | + | 0.248965i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 8.48528 | + | 14.6969i | 0.344407 | + | 0.596530i | 0.985246 | − | 0.171145i | \(-0.0547467\pi\) |
−0.640839 | + | 0.767675i | \(0.721413\pi\) | |||||||
\(608\) | −5.65685 | −0.229416 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 2.00000 | 0.0809776 | ||||||||
\(611\) | 12.0000 | + | 20.7846i | 0.485468 | + | 0.840855i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −6.00000 | + | 10.3923i | −0.242338 | + | 0.419741i | −0.961380 | − | 0.275225i | \(-0.911248\pi\) |
0.719042 | + | 0.694967i | \(0.244581\pi\) | |||||||
\(614\) | −2.82843 | − | 4.89898i | −0.114146 | − | 0.197707i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −22.0000 | −0.885687 | −0.442843 | − | 0.896599i | \(-0.646030\pi\) | ||||
−0.442843 | + | 0.896599i | \(0.646030\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 5.65685 | − | 9.79796i | 0.227368 | − | 0.393813i | −0.729659 | − | 0.683811i | \(-0.760321\pi\) |
0.957027 | + | 0.289998i | \(0.0936546\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 5.65685 | 0.226819 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 0.500000 | + | 0.866025i | 0.0200000 | + | 0.0346410i | ||||
\(626\) | −10.6066 | + | 18.3712i | −0.423925 | + | 0.734260i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −9.19239 | − | 15.9217i | −0.366816 | − | 0.635344i | ||||
\(629\) | −28.2843 | −1.12777 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −16.0000 | −0.636950 | −0.318475 | − | 0.947931i | \(-0.603171\pi\) | ||||
−0.318475 | + | 0.947931i | \(0.603171\pi\) | |||||||
\(632\) | −8.00000 | − | 13.8564i | −0.318223 | − | 0.551178i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −14.0000 | + | 24.2487i | −0.556011 | + | 0.963039i | ||||
\(635\) | 5.65685 | + | 9.79796i | 0.224485 | + | 0.388820i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −8.00000 | −0.316723 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0.707107 | − | 1.22474i | 0.0279508 | − | 0.0484123i | ||||
\(641\) | 1.00000 | − | 1.73205i | 0.0394976 | − | 0.0684119i | −0.845601 | − | 0.533816i | \(-0.820758\pi\) |
0.885098 | + | 0.465404i | \(0.154091\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −11.3137 | −0.446169 | −0.223085 | − | 0.974799i | \(-0.571613\pi\) | ||||
−0.223085 | + | 0.974799i | \(0.571613\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −20.0000 | − | 34.6410i | −0.786889 | − | 1.36293i | ||||
\(647\) | −16.9706 | + | 29.3939i | −0.667182 | + | 1.15559i | 0.311507 | + | 0.950244i | \(0.399166\pi\) |
−0.978689 | + | 0.205349i | \(0.934167\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −22.6274 | − | 39.1918i | −0.888204 | − | 1.53841i | ||||
\(650\) | −12.7279 | −0.499230 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 4.00000 | 0.156652 | ||||||||
\(653\) | 9.00000 | + | 15.5885i | 0.352197 | + | 0.610023i | 0.986634 | − | 0.162951i | \(-0.0521013\pi\) |
−0.634437 | + | 0.772975i | \(0.718768\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 12.0000 | − | 20.7846i | 0.468879 | − | 0.812122i | ||||
\(656\) | −4.94975 | − | 8.57321i | −0.193255 | − | 0.334728i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 36.0000 | 1.40236 | 0.701180 | − | 0.712984i | \(-0.252657\pi\) | ||||
0.701180 | + | 0.712984i | \(0.252657\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 2.12132 | − | 3.67423i | 0.0825098 | − | 0.142911i | −0.821818 | − | 0.569751i | \(-0.807040\pi\) |
0.904327 | + | 0.426840i | \(0.140373\pi\) | |||||||
\(662\) | −10.0000 | + | 17.3205i | −0.388661 | + | 0.673181i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 5.65685 | 0.219529 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −8.00000 | − | 13.8564i | −0.309761 | − | 0.536522i | ||||
\(668\) | −5.65685 | + | 9.79796i | −0.218870 | + | 0.379094i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −8.48528 | − | 14.6969i | −0.327815 | − | 0.567792i | ||||
\(671\) | 5.65685 | 0.218380 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 24.0000 | 0.925132 | 0.462566 | − | 0.886585i | \(-0.346929\pi\) | ||||
0.462566 | + | 0.886585i | \(0.346929\pi\) | |||||||
\(674\) | −8.00000 | − | 13.8564i | −0.308148 | − | 0.533729i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −2.50000 | + | 4.33013i | −0.0961538 | + | 0.166543i | ||||
\(677\) | −2.12132 | − | 3.67423i | −0.0815290 | − | 0.141212i | 0.822378 | − | 0.568942i | \(-0.192647\pi\) |
−0.903907 | + | 0.427729i | \(0.859314\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 10.0000 | 0.383482 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −6.00000 | + | 10.3923i | −0.229584 | + | 0.397650i | −0.957685 | − | 0.287819i | \(-0.907070\pi\) |
0.728101 | + | 0.685470i | \(0.240403\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −8.48528 | −0.324206 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 2.00000 | + | 3.46410i | 0.0762493 | + | 0.132068i | ||||
\(689\) | −8.48528 | + | 14.6969i | −0.323263 | + | 0.559909i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −25.4558 | − | 44.0908i | −0.968386 | − | 1.67729i | −0.700229 | − | 0.713918i | \(-0.746919\pi\) |
−0.268157 | − | 0.963375i | \(-0.586415\pi\) | |||||||
\(692\) | −12.7279 | −0.483843 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −12.0000 | −0.455514 | ||||||||
\(695\) | −4.00000 | − | 6.92820i | −0.151729 | − | 0.262802i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 35.0000 | − | 60.6218i | 1.32572 | − | 2.29621i | ||||
\(698\) | 14.8492 | + | 25.7196i | 0.562052 | + | 0.973503i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −30.0000 | −1.13308 | −0.566542 | − | 0.824033i | \(-0.691719\pi\) | ||||
−0.566542 | + | 0.824033i | \(0.691719\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −11.3137 | + | 19.5959i | −0.426705 | + | 0.739074i | ||||
\(704\) | 2.00000 | − | 3.46410i | 0.0753778 | − | 0.130558i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −1.41421 | −0.0532246 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −14.0000 | − | 24.2487i | −0.525781 | − | 0.910679i | −0.999549 | − | 0.0300298i | \(-0.990440\pi\) |
0.473768 | − | 0.880650i | \(-0.342894\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 3.53553 | + | 6.12372i | 0.132500 | + | 0.229496i | ||||
\(713\) | 0 | 0 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 24.0000 | 0.897549 | ||||||||
\(716\) | −6.00000 | − | 10.3923i | −0.224231 | − | 0.388379i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −8.00000 | + | 13.8564i | −0.298557 | + | 0.517116i | ||||
\(719\) | −19.7990 | − | 34.2929i | −0.738378 | − | 1.27891i | −0.953225 | − | 0.302260i | \(-0.902259\pi\) |
0.214848 | − | 0.976648i | \(-0.431074\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −13.0000 | −0.483810 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 6.36396 | − | 11.0227i | 0.236515 | − | 0.409656i | ||||
\(725\) | −3.00000 | + | 5.19615i | −0.111417 | + | 0.192980i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −28.2843 | −1.04901 | −0.524503 | − | 0.851409i | \(-0.675749\pi\) | ||||
−0.524503 | + | 0.851409i | \(0.675749\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 11.0000 | + | 19.0526i | 0.407128 | + | 0.705167i | ||||
\(731\) | −14.1421 | + | 24.4949i | −0.523066 | + | 0.905977i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 6.36396 | + | 11.0227i | 0.235058 | + | 0.407133i | 0.959290 | − | 0.282424i | \(-0.0911386\pi\) |
−0.724231 | + | 0.689557i | \(0.757805\pi\) | |||||||
\(734\) | 5.65685 | 0.208798 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 8.00000 | 0.294884 | ||||||||
\(737\) | −24.0000 | − | 41.5692i | −0.884051 | − | 1.53122i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −6.00000 | + | 10.3923i | −0.220714 | + | 0.382287i | −0.955025 | − | 0.296526i | \(-0.904172\pi\) |
0.734311 | + | 0.678813i | \(0.237505\pi\) | |||||||
\(740\) | −2.82843 | − | 4.89898i | −0.103975 | − | 0.180090i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −16.0000 | −0.586983 | −0.293492 | − | 0.955962i | \(-0.594817\pi\) | ||||
−0.293492 | + | 0.955962i | \(0.594817\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −14.1421 | + | 24.4949i | −0.518128 | + | 0.897424i | ||||
\(746\) | 5.00000 | − | 8.66025i | 0.183063 | − | 0.317074i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 28.2843 | 1.03418 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 20.0000 | + | 34.6410i | 0.729810 | + | 1.26407i | 0.956963 | + | 0.290209i | \(0.0937250\pi\) |
−0.227153 | + | 0.973859i | \(0.572942\pi\) | |||||||
\(752\) | −2.82843 | + | 4.89898i | −0.103142 | + | 0.178647i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 4.24264 | + | 7.34847i | 0.154508 | + | 0.267615i | ||||
\(755\) | −22.6274 | −0.823496 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −28.0000 | −1.01768 | −0.508839 | − | 0.860862i | \(-0.669925\pi\) | ||||
−0.508839 | + | 0.860862i | \(0.669925\pi\) | |||||||
\(758\) | 14.0000 | + | 24.2487i | 0.508503 | + | 0.880753i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 4.00000 | − | 6.92820i | 0.145095 | − | 0.251312i | ||||
\(761\) | 4.94975 | + | 8.57321i | 0.179428 | + | 0.310779i | 0.941685 | − | 0.336496i | \(-0.109242\pi\) |
−0.762257 | + | 0.647275i | \(0.775909\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 16.0000 | 0.578860 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −2.82843 | + | 4.89898i | −0.102195 | + | 0.177007i | ||||
\(767\) | −24.0000 | + | 41.5692i | −0.866590 | + | 1.50098i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 4.24264 | 0.152994 | 0.0764968 | − | 0.997070i | \(-0.475627\pi\) | ||||
0.0764968 | + | 0.997070i | \(0.475627\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −7.00000 | − | 12.1244i | −0.251936 | − | 0.436365i | ||||
\(773\) | −16.2635 | + | 28.1691i | −0.584956 | + | 1.01317i | 0.409925 | + | 0.912119i | \(0.365555\pi\) |
−0.994881 | + | 0.101054i | \(0.967778\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 7.07107 | 0.253837 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 26.0000 | 0.932145 | ||||||||
\(779\) | −28.0000 | − | 48.4974i | −1.00320 | − | 1.73760i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0 | 0 | ||||||||
\(782\) | 28.2843 | + | 48.9898i | 1.01144 | + | 1.75187i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 26.0000 | 0.927980 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 2.82843 | − | 4.89898i | 0.100823 | − | 0.174630i | −0.811201 | − | 0.584767i | \(-0.801186\pi\) |
0.912024 | + | 0.410137i | \(0.134519\pi\) | |||||||
\(788\) | −2.00000 | + | 3.46410i | −0.0712470 | + | 0.123404i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 22.6274 | 0.805047 | ||||||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −3.00000 | − | 5.19615i | −0.106533 | − | 0.184521i | ||||
\(794\) | −3.53553 | + | 6.12372i | −0.125471 | + | 0.217323i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 8.48528 | + | 14.6969i | 0.300753 | + | 0.520919i | ||||
\(797\) | 12.7279 | 0.450846 | 0.225423 | − | 0.974261i | \(-0.427624\pi\) | ||||
0.225423 | + | 0.974261i | \(0.427624\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −40.0000 | −1.41510 | ||||||||
\(800\) | −1.50000 | − | 2.59808i | −0.0530330 | − | 0.0918559i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −9.00000 | + | 15.5885i | −0.317801 | + | 0.550448i | ||||
\(803\) | 31.1127 | + | 53.8888i | 1.09794 | + | 1.90169i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 6.36396 | − | 11.0227i | 0.223883 | − | 0.387777i | ||||
\(809\) | −20.0000 | + | 34.6410i | −0.703163 | + | 1.21791i | 0.264188 | + | 0.964471i | \(0.414896\pi\) |
−0.967351 | + | 0.253442i | \(0.918437\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −33.9411 | −1.19183 | −0.595917 | − | 0.803046i | \(-0.703211\pi\) | ||||
−0.595917 | + | 0.803046i | \(0.703211\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −8.00000 | − | 13.8564i | −0.280400 | − | 0.485667i | ||||
\(815\) | −2.82843 | + | 4.89898i | −0.0990755 | + | 0.171604i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 11.3137 | + | 19.5959i | 0.395817 | + | 0.685574i | ||||
\(818\) | −21.2132 | −0.741702 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 14.0000 | 0.488901 | ||||||||
\(821\) | −18.0000 | − | 31.1769i | −0.628204 | − | 1.08808i | −0.987912 | − | 0.155017i | \(-0.950457\pi\) |
0.359708 | − | 0.933065i | \(-0.382876\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −20.0000 | + | 34.6410i | −0.697156 | + | 1.20751i | 0.272292 | + | 0.962215i | \(0.412218\pi\) |
−0.969448 | + | 0.245295i | \(0.921115\pi\) | |||||||
\(824\) | −2.82843 | − | 4.89898i | −0.0985329 | − | 0.170664i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 12.0000 | 0.417281 | 0.208640 | − | 0.977992i | \(-0.433096\pi\) | ||||
0.208640 | + | 0.977992i | \(0.433096\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 21.9203 | − | 37.9671i | 0.761324 | − | 1.31865i | −0.180845 | − | 0.983512i | \(-0.557883\pi\) |
0.942168 | − | 0.335140i | \(-0.108784\pi\) | |||||||
\(830\) | −4.00000 | + | 6.92820i | −0.138842 | + | 0.240481i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −4.24264 | −0.147087 | ||||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −8.00000 | − | 13.8564i | −0.276851 | − | 0.479521i | ||||
\(836\) | 11.3137 | − | 19.5959i | 0.391293 | − | 0.677739i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 11.3137 | + | 19.5959i | 0.390826 | + | 0.676930i | ||||
\(839\) | −45.2548 | −1.56237 | −0.781185 | − | 0.624299i | \(-0.785385\pi\) | ||||
−0.781185 | + | 0.624299i | \(0.785385\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −25.0000 | −0.862069 | ||||||||
\(842\) | −3.00000 | − | 5.19615i | −0.103387 | − | 0.179071i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −6.00000 | + | 10.3923i | −0.206529 | + | 0.357718i | ||||
\(845\) | −3.53553 | − | 6.12372i | −0.121626 | − | 0.210663i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −4.00000 | −0.137361 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 10.6066 | − | 18.3712i | 0.363803 | − | 0.630126i | ||||
\(851\) | 16.0000 | − | 27.7128i | 0.548473 | − | 0.949983i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −21.2132 | −0.726326 | −0.363163 | − | 0.931726i | \(-0.618303\pi\) | ||||
−0.363163 | + | 0.931726i | \(0.618303\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 2.00000 | + | 3.46410i | 0.0683586 | + | 0.118401i | ||||
\(857\) | −12.0208 | + | 20.8207i | −0.410623 | + | 0.711220i | −0.994958 | − | 0.100292i | \(-0.968022\pi\) |
0.584335 | + | 0.811513i | \(0.301356\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 2.82843 | + | 4.89898i | 0.0965047 | + | 0.167151i | 0.910236 | − | 0.414091i | \(-0.135900\pi\) |
−0.813731 | + | 0.581242i | \(0.802567\pi\) | |||||||
\(860\) | −5.65685 | −0.192897 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 24.0000 | 0.817443 | ||||||||
\(863\) | 4.00000 | + | 6.92820i | 0.136162 | + | 0.235839i | 0.926041 | − | 0.377424i | \(-0.123190\pi\) |
−0.789879 | + | 0.613263i | \(0.789857\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 9.00000 | − | 15.5885i | 0.306009 | − | 0.530023i | ||||
\(866\) | 2.12132 | + | 3.67423i | 0.0720854 | + | 0.124856i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 64.0000 | 2.17105 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −25.4558 | + | 44.0908i | −0.862538 | + | 1.49396i | ||||
\(872\) | 2.00000 | − | 3.46410i | 0.0677285 | − | 0.117309i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 45.2548 | 1.53077 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 14.0000 | + | 24.2487i | 0.472746 | + | 0.818821i | 0.999514 | − | 0.0311889i | \(-0.00992933\pi\) |
−0.526767 | + | 0.850010i | \(0.676596\pi\) | |||||||
\(878\) | −16.9706 | + | 29.3939i | −0.572729 | + | 0.991995i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 2.82843 | + | 4.89898i | 0.0953463 | + | 0.165145i | ||||
\(881\) | 21.2132 | 0.714691 | 0.357345 | − | 0.933972i | \(-0.383682\pi\) | ||||
0.357345 | + | 0.933972i | \(0.383682\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 20.0000 | 0.673054 | 0.336527 | − | 0.941674i | \(-0.390748\pi\) | ||||
0.336527 | + | 0.941674i | \(0.390748\pi\) | |||||||
\(884\) | −15.0000 | − | 25.9808i | −0.504505 | − | 0.873828i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −10.0000 | + | 17.3205i | −0.335957 | + | 0.581894i | ||||
\(887\) | 11.3137 | + | 19.5959i | 0.379877 | + | 0.657967i | 0.991044 | − | 0.133535i | \(-0.0426329\pi\) |
−0.611167 | + | 0.791502i | \(0.709300\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 0 | 0 | ||||||||
\(890\) | −10.0000 | −0.335201 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −8.48528 | + | 14.6969i | −0.284108 | + | 0.492090i | ||||
\(893\) | −16.0000 | + | 27.7128i | −0.535420 | + | 0.927374i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 16.9706 | 0.567263 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 12.0000 | + | 20.7846i | 0.400445 | + | 0.693591i | ||||
\(899\) | 0 | 0 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −14.1421 | − | 24.4949i | −0.471143 | − | 0.816043i | ||||
\(902\) | 39.5980 | 1.31847 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 9.00000 | + | 15.5885i | 0.299170 | + | 0.518178i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 10.0000 | − | 17.3205i | 0.332045 | − | 0.575118i | −0.650868 | − | 0.759191i | \(-0.725595\pi\) |
0.982913 | + | 0.184073i | \(0.0589282\pi\) | |||||||
\(908\) | −8.48528 | − | 14.6969i | −0.281594 | − | 0.487735i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −56.0000 | −1.85536 | −0.927681 | − | 0.373373i | \(-0.878201\pi\) | ||||
−0.927681 | + | 0.373373i | \(0.878201\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −11.3137 | + | 19.5959i | −0.374429 | + | 0.648530i | ||||
\(914\) | −3.00000 | + | 5.19615i | −0.0992312 | + | 0.171873i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −12.7279 | −0.420542 | ||||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 28.0000 | + | 48.4974i | 0.923635 | + | 1.59978i | 0.793742 | + | 0.608254i | \(0.208130\pi\) |
0.129893 | + | 0.991528i | \(0.458537\pi\) | |||||||
\(920\) | −5.65685 | + | 9.79796i | −0.186501 | + | 0.323029i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −0.707107 | − | 1.22474i | −0.0232873 | − | 0.0403348i | ||||
\(923\) | 0 | 0 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −12.0000 | −0.394558 | ||||||||
\(926\) | −16.0000 | − | 27.7128i | −0.525793 | − | 0.910700i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −1.00000 | + | 1.73205i | −0.0328266 | + | 0.0568574i | ||||
\(929\) | −9.19239 | − | 15.9217i | −0.301592 | − | 0.522373i | 0.674904 | − | 0.737905i | \(-0.264185\pi\) |
−0.976497 | + | 0.215532i | \(0.930852\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 6.00000 | 0.196537 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 2.82843 | − | 4.89898i | 0.0925490 | − | 0.160300i | ||||
\(935\) | −20.0000 | + | 34.6410i | −0.654070 | + | 1.13288i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −15.5563 | −0.508204 | −0.254102 | − | 0.967177i | \(-0.581780\pi\) | ||||
−0.254102 | + | 0.967177i | \(0.581780\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −4.00000 | − | 6.92820i | −0.130466 | − | 0.225973i | ||||
\(941\) | −13.4350 | + | 23.2702i | −0.437969 | + | 0.758585i | −0.997533 | − | 0.0702023i | \(-0.977636\pi\) |
0.559563 | + | 0.828788i | \(0.310969\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 39.5980 | + | 68.5857i | 1.28949 | + | 2.23346i | ||||
\(944\) | −11.3137 | −0.368230 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −16.0000 | −0.520205 | ||||||||
\(947\) | 6.00000 | + | 10.3923i | 0.194974 | + | 0.337705i | 0.946892 | − | 0.321552i | \(-0.104204\pi\) |
−0.751918 | + | 0.659256i | \(0.770871\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 33.0000 | − | 57.1577i | 1.07123 | − | 1.85542i | ||||
\(950\) | −8.48528 | − | 14.6969i | −0.275299 | − | 0.476832i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 8.00000 | 0.259145 | 0.129573 | − | 0.991570i | \(-0.458639\pi\) | ||||
0.129573 | + | 0.991570i | \(0.458639\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −11.3137 | + | 19.5959i | −0.366103 | + | 0.634109i | ||||
\(956\) | −12.0000 | + | 20.7846i | −0.388108 | + | 0.672222i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 28.2843 | 0.913823 | ||||||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 15.5000 | + | 26.8468i | 0.500000 | + | 0.866025i | ||||
\(962\) | −8.48528 | + | 14.6969i | −0.273576 | + | 0.473848i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 2.12132 | + | 3.67423i | 0.0683231 | + | 0.118339i | ||||
\(965\) | 19.7990 | 0.637352 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −48.0000 | −1.54358 | −0.771788 | − | 0.635880i | \(-0.780637\pi\) | ||||
−0.771788 | + | 0.635880i | \(0.780637\pi\) | |||||||
\(968\) | 2.50000 | + | 4.33013i | 0.0803530 | + | 0.139176i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −5.00000 | + | 8.66025i | −0.160540 | + | 0.278064i | ||||
\(971\) | 5.65685 | + | 9.79796i | 0.181537 | + | 0.314431i | 0.942404 | − | 0.334476i | \(-0.108559\pi\) |
−0.760867 | + | 0.648908i | \(0.775226\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 24.0000 | 0.769010 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0.707107 | − | 1.22474i | 0.0226339 | − | 0.0392031i | ||||
\(977\) | 15.0000 | − | 25.9808i | 0.479893 | − | 0.831198i | −0.519841 | − | 0.854263i | \(-0.674009\pi\) |
0.999734 | + | 0.0230645i | \(0.00734232\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −28.2843 | −0.903969 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 6.00000 | + | 10.3923i | 0.191468 | + | 0.331632i | ||||
\(983\) | −5.65685 | + | 9.79796i | −0.180426 | + | 0.312506i | −0.942026 | − | 0.335541i | \(-0.891081\pi\) |
0.761600 | + | 0.648047i | \(0.224414\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −2.82843 | − | 4.89898i | −0.0901212 | − | 0.156094i | ||||
\(986\) | −14.1421 | −0.450377 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −24.0000 | −0.763542 | ||||||||
\(989\) | −16.0000 | − | 27.7128i | −0.508770 | − | 0.881216i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 20.0000 | − | 34.6410i | 0.635321 | − | 1.10041i | −0.351126 | − | 0.936328i | \(-0.614201\pi\) |
0.986447 | − | 0.164080i | \(-0.0524655\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −24.0000 | −0.760851 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −3.53553 | + | 6.12372i | −0.111971 | + | 0.193940i | −0.916565 | − | 0.399886i | \(-0.869050\pi\) |
0.804594 | + | 0.593826i | \(0.202383\pi\) | |||||||
\(998\) | −2.00000 | + | 3.46410i | −0.0633089 | + | 0.109654i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 882.2.g.m.361.1 | 4 | ||
3.2 | odd | 2 | 882.2.g.k.361.2 | 4 | |||
7.2 | even | 3 | inner | 882.2.g.m.667.1 | 4 | ||
7.3 | odd | 6 | 882.2.a.m.1.1 | ✓ | 2 | ||
7.4 | even | 3 | 882.2.a.m.1.2 | yes | 2 | ||
7.5 | odd | 6 | inner | 882.2.g.m.667.2 | 4 | ||
7.6 | odd | 2 | inner | 882.2.g.m.361.2 | 4 | ||
21.2 | odd | 6 | 882.2.g.k.667.2 | 4 | |||
21.5 | even | 6 | 882.2.g.k.667.1 | 4 | |||
21.11 | odd | 6 | 882.2.a.o.1.1 | yes | 2 | ||
21.17 | even | 6 | 882.2.a.o.1.2 | yes | 2 | ||
21.20 | even | 2 | 882.2.g.k.361.1 | 4 | |||
28.3 | even | 6 | 7056.2.a.cs.1.1 | 2 | |||
28.11 | odd | 6 | 7056.2.a.cs.1.2 | 2 | |||
84.11 | even | 6 | 7056.2.a.ci.1.1 | 2 | |||
84.59 | odd | 6 | 7056.2.a.ci.1.2 | 2 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
882.2.a.m.1.1 | ✓ | 2 | 7.3 | odd | 6 | ||
882.2.a.m.1.2 | yes | 2 | 7.4 | even | 3 | ||
882.2.a.o.1.1 | yes | 2 | 21.11 | odd | 6 | ||
882.2.a.o.1.2 | yes | 2 | 21.17 | even | 6 | ||
882.2.g.k.361.1 | 4 | 21.20 | even | 2 | |||
882.2.g.k.361.2 | 4 | 3.2 | odd | 2 | |||
882.2.g.k.667.1 | 4 | 21.5 | even | 6 | |||
882.2.g.k.667.2 | 4 | 21.2 | odd | 6 | |||
882.2.g.m.361.1 | 4 | 1.1 | even | 1 | trivial | ||
882.2.g.m.361.2 | 4 | 7.6 | odd | 2 | inner | ||
882.2.g.m.667.1 | 4 | 7.2 | even | 3 | inner | ||
882.2.g.m.667.2 | 4 | 7.5 | odd | 6 | inner | ||
7056.2.a.ci.1.1 | 2 | 84.11 | even | 6 | |||
7056.2.a.ci.1.2 | 2 | 84.59 | odd | 6 | |||
7056.2.a.cs.1.1 | 2 | 28.3 | even | 6 | |||
7056.2.a.cs.1.2 | 2 | 28.11 | odd | 6 |