Newspace parameters
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
Self dual: | no |
Analytic conductor: | \(7.04280545828\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\Q(\sqrt{2}, \sqrt{-3})\) |
Defining polynomial: | \(x^{4} + 2 x^{2} + 4\) |
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 | 361.2 | ||
Root | \(0.707107 + 1.22474i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 882.361 |
Dual form | 882.2.g.m.667.2 |
$q$-expansion
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 | 0.979698 | − | 0.200480i | \(-0.0642503\pi\) |
−0.663470 | + | 0.748203i | \(0.730917\pi\) | |||||||
\(6\) | 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 | \(-0.299778\pi\) | ||||
0.588348 | + | 0.808608i | \(0.299778\pi\) | |||||||
\(14\) | 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 | \(0.494646\pi\) |
−0.874313 | + | 0.485363i | \(0.838688\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.82843 | + | 4.89898i | 0.648886 | + | 1.12390i | 0.983389 | + | 0.181509i | \(0.0580980\pi\) |
−0.334504 | + | 0.942394i | \(0.608569\pi\) | |||||||
\(20\) | −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 | \(-0.781255\pi\) | ||||
−0.773021 | + | 0.634381i | \(0.781255\pi\) | |||||||
\(42\) | 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 | 0.995170 | − | 0.0981685i | \(-0.0312984\pi\) |
−0.582601 | + | 0.812758i | \(0.697965\pi\) | |||||||
\(48\) | 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 | \(0.430171\pi\) |
−0.954080 | + | 0.299552i | \(0.903163\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.707107 | − | 1.22474i | −0.0905357 | − | 0.156813i | 0.817201 | − | 0.576353i | \(-0.195525\pi\) |
−0.907737 | + | 0.419540i | \(0.862191\pi\) | |||||||
\(62\) | 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 | \(-0.469133\pi\) |
0.813547 | − | 0.581499i | \(-0.197534\pi\) | |||||||
\(74\) | 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 | \(-0.399517\pi\) | ||||
0.310460 | + | 0.950586i | \(0.399517\pi\) | |||||||
\(84\) | 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 | 0.990292 | − | 0.139003i | \(-0.0443898\pi\) |
−0.615526 | + | 0.788116i | \(0.711056\pi\) | |||||||
\(90\) | 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 | \(-0.383125\pi\) | ||||
0.358979 | + | 0.933346i | \(0.383125\pi\) | |||||||
\(98\) | 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 | \(-0.615059\pi\) |
0.986886 | − | 0.161421i | \(-0.0516078\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −2.82843 | − | 4.89898i | −0.278693 | − | 0.482711i | 0.692367 | − | 0.721545i | \(-0.256568\pi\) |
−0.971060 | + | 0.238835i | \(0.923235\pi\) | |||||||
\(104\) | −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 | \(-0.900847\pi\) |
0.210513 | − | 0.977591i | \(-0.432487\pi\) | |||||||
\(132\) | 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 | \(-0.577116\pi\) | ||||
−0.239904 | + | 0.970797i | \(0.577116\pi\) | |||||||
\(140\) | 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 | \(-0.571157\pi\) |
0.955321 | − | 0.295571i | \(-0.0955099\pi\) | |||||||
\(158\) | −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 | \(-0.644221\pi\) | ||||
−0.437741 | + | 0.899101i | \(0.644221\pi\) | |||||||
\(168\) | 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 | 0.515985 | − | 0.856598i | \(-0.327426\pi\) |
−0.999828 | + | 0.0185571i | \(0.994093\pi\) | |||||||
\(174\) | 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 | \(-0.343160\pi\) | ||||
0.473029 | + | 0.881047i | \(0.343160\pi\) | |||||||
\(182\) | 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 | \(0.372099\pi\) |
−0.992593 | + | 0.121485i | \(0.961234\pi\) | |||||||
\(200\) | −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 | \(-0.692366\pi\) | ||||
−0.568216 | + | 0.822879i | \(0.692366\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 8.48528 | − | 14.6969i | 0.563188 | − | 0.975470i | −0.434028 | − | 0.900899i | \(-0.642908\pi\) |
0.997216 | − | 0.0745706i | \(-0.0237586\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −6.36396 | − | 11.0227i | −0.420542 | − | 0.728401i | 0.575450 | − | 0.817837i | \(-0.304827\pi\) |
−0.995993 | + | 0.0894361i | \(0.971494\pi\) | |||||||
\(230\) | −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 | −0.926225 | − | 0.376971i | \(-0.876966\pi\) |
0.789579 | + | 0.613649i | \(0.210299\pi\) | |||||||
\(242\) | 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 | \(-0.442866\pi\) | ||||
0.178529 | + | 0.983935i | \(0.442866\pi\) | |||||||
\(252\) | 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 | 0.596378 | − | 0.802704i | \(-0.296606\pi\) |
−0.993351 | + | 0.115126i | \(0.963273\pi\) | |||||||
\(258\) | 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 | −0.886777 | − | 0.462198i | \(-0.847061\pi\) |
0.843664 | + | 0.536872i | \(0.180394\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 2.82843 | + | 4.89898i | 0.171815 | + | 0.297592i | 0.939054 | − | 0.343769i | \(-0.111704\pi\) |
−0.767240 | + | 0.641361i | \(0.778370\pi\) | |||||||
\(272\) | 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 | \(0.401459\pi\) |
−0.977184 | + | 0.212393i | \(0.931874\pi\) | |||||||
\(284\) | 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 | \(-0.747827\pi\) | ||||
−0.702264 | + | 0.711917i | \(0.747827\pi\) | |||||||
\(294\) | 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 | \(-0.448390\pi\) | ||||
0.161427 | + | 0.986885i | \(0.448390\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −2.82843 | + | 4.89898i | −0.160385 | + | 0.277796i | −0.935007 | − | 0.354629i | \(-0.884607\pi\) |
0.774622 | + | 0.632425i | \(0.217940\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −10.6066 | − | 18.3712i | −0.599521 | − | 1.03840i | −0.992892 | − | 0.119020i | \(-0.962025\pi\) |
0.393371 | − | 0.919380i | \(-0.371309\pi\) | |||||||
\(314\) | 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 | \(-0.792457\pi\) | ||||
−0.794862 | + | 0.606791i | \(0.792457\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −2.00000 | − | 3.46410i | −0.106600 | − | 0.184637i | ||||
\(353\) | 0.707107 | − | 1.22474i | 0.0376355 | − | 0.0651866i | −0.846594 | − | 0.532239i | \(-0.821351\pi\) |
0.884230 | + | 0.467052i | \(0.154684\pi\) | |||||||
\(354\) | 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 | −0.930356 | − | 0.366658i | \(-0.880502\pi\) |
0.782713 | + | 0.622383i | \(0.213835\pi\) | |||||||
\(368\) | 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 | 0.784670 | − | 0.619914i | \(-0.212832\pi\) |
−0.929196 | + | 0.369587i | \(0.879499\pi\) | |||||||
\(384\) | 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 | 0.763561 | − | 0.645736i | \(-0.223449\pi\) |
−0.941004 | + | 0.338395i | \(0.890116\pi\) | |||||||
\(398\) | −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 | \(-0.657600\pi\) |
0.999594 | − | 0.0284813i | \(-0.00906711\pi\) | |||||||
\(410\) | 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 | \(-0.686407\pi\) | ||||
−0.552711 | + | 0.833373i | \(0.686407\pi\) | |||||||
\(420\) | 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 | \(-0.532506\pi\) | ||||
−0.101944 | + | 0.994790i | \(0.532506\pi\) | |||||||
\(434\) | 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 | \(-0.866155\pi\) |
0.102930 | − | 0.994689i | \(-0.467178\pi\) | |||||||
\(440\) | −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 | \(-0.489515\pi\) | ||||
0.0329332 | + | 0.999458i | \(0.489515\pi\) | |||||||
\(462\) | 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 | 0.924018 | − | 0.382350i | \(-0.124885\pi\) |
−0.793134 | + | 0.609048i | \(0.791552\pi\) | |||||||
\(468\) | 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 | \(0.390297\pi\) |
−0.984030 | + | 0.178004i | \(0.943036\pi\) | |||||||
\(480\) | 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 | \(-0.717177\pi\) | ||||
−0.630567 | + | 0.776135i | \(0.717177\pi\) | |||||||
\(504\) | 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 | \(0.0895886\pi\) |
−0.239788 | + | 0.970825i | \(0.577078\pi\) | |||||||
\(510\) | 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 | −0.850120 | − | 0.526589i | \(-0.823471\pi\) |
0.881099 | + | 0.472931i | \(0.156804\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 16.9706 | + | 29.3939i | 0.742071 | + | 1.28530i | 0.951551 | + | 0.307492i | \(0.0994896\pi\) |
−0.209480 | + | 0.977813i | \(0.567177\pi\) | |||||||
\(524\) | 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 | −0.960258 | − | 0.279115i | \(-0.909959\pi\) |
0.721850 | + | 0.692050i | \(0.243292\pi\) | |||||||
\(564\) | 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 | −0.967547 | − | 0.252693i | \(-0.918684\pi\) |
0.702611 | + | 0.711574i | \(0.252017\pi\) | |||||||
\(578\) | 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 | \(-0.386105\pi\) | ||||
0.350225 | + | 0.936666i | \(0.386105\pi\) | |||||||
\(588\) | 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 | \(-0.908074\pi\) |
0.232653 | − | 0.972560i | \(-0.425259\pi\) | |||||||
\(594\) | 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 | \(-0.472422\pi\) | ||||
0.0865305 | + | 0.996249i | \(0.472422\pi\) | |||||||
\(602\) | 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 | 0.640839 | − | 0.767675i | \(-0.278587\pi\) |
−0.985246 | + | 0.171145i | \(0.945253\pi\) | |||||||
\(608\) | 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 | −0.957027 | − | 0.289998i | \(-0.906345\pi\) |
0.729659 | + | 0.683811i | \(0.239679\pi\) | |||||||
\(620\) | 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 | \(-0.428387\pi\) | ||||
0.223085 | + | 0.974799i | \(0.428387\pi\) | |||||||
\(644\) | 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 | \(-0.600834\pi\) |
0.978689 | − | 0.205349i | \(-0.0658329\pi\) | |||||||
\(648\) | 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 | −0.904327 | − | 0.426840i | \(-0.859627\pi\) |
0.821818 | + | 0.569751i | \(0.192960\pi\) | |||||||
\(662\) | −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 | 0.903907 | − | 0.427729i | \(-0.140686\pi\) |
−0.822378 | + | 0.568942i | \(0.807353\pi\) | |||||||
\(678\) | 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 | \(0.253081\pi\) |
0.268157 | + | 0.963375i | \(0.413585\pi\) | |||||||
\(692\) | 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 | \(0.0977411\pi\) |
−0.214848 | + | 0.976648i | \(0.568926\pi\) | |||||||
\(720\) | 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 | \(-0.324251\pi\) | ||||
0.524503 | + | 0.851409i | \(0.324251\pi\) | |||||||
\(728\) | 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 | 0.724231 | − | 0.689557i | \(-0.242195\pi\) |
−0.959290 | + | 0.282424i | \(0.908861\pi\) | |||||||
\(734\) | −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 | 0.762257 | − | 0.647275i | \(-0.224091\pi\) |
−0.941685 | + | 0.336496i | \(0.890758\pi\) | |||||||
\(762\) | 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 | \(-0.524373\pi\) | ||||
−0.0764968 | + | 0.997070i | \(0.524373\pi\) | |||||||
\(770\) | 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 | \(-0.634445\pi\) |
0.994881 | − | 0.101054i | \(-0.0322215\pi\) | |||||||
\(774\) | 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 | −0.912024 | − | 0.410137i | \(-0.865481\pi\) |
0.811201 | + | 0.584767i | \(0.198814\pi\) | |||||||
\(788\) | −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 |