Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [735,2,Mod(226,735)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(735, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("735.226");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 735 = 3 \cdot 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 735.i (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: | \(5.86900454856\) |
Analytic rank: | \(0\) |
Dimension: | \(2\) |
Coefficient field: | \(\Q(\zeta_{6})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 15) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 361.1 | ||
Root | \(0.500000 + 0.866025i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 735.361 |
Dual form | 735.2.i.e.226.1 |
$q$-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 \(\left(\mathbb{Z}/735\mathbb{Z}\right)^\times\).
\(n\) | \(346\) | \(442\) | \(491\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | + | 0.866025i | 0.353553 | + | 0.612372i | 0.986869 | − | 0.161521i | \(-0.0516399\pi\) |
−0.633316 | + | 0.773893i | \(0.718307\pi\) | |||||||
\(3\) | 0.500000 | − | 0.866025i | 0.288675 | − | 0.500000i | ||||
\(4\) | 0.500000 | − | 0.866025i | 0.250000 | − | 0.433013i | ||||
\(5\) | −0.500000 | − | 0.866025i | −0.223607 | − | 0.387298i | ||||
\(6\) | 1.00000 | 0.408248 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 3.00000 | 1.06066 | ||||||||
\(9\) | −0.500000 | − | 0.866025i | −0.166667 | − | 0.288675i | ||||
\(10\) | 0.500000 | − | 0.866025i | 0.158114 | − | 0.273861i | ||||
\(11\) | 2.00000 | − | 3.46410i | 0.603023 | − | 1.04447i | −0.389338 | − | 0.921095i | \(-0.627296\pi\) |
0.992361 | − | 0.123371i | \(-0.0393705\pi\) | |||||||
\(12\) | −0.500000 | − | 0.866025i | −0.144338 | − | 0.250000i | ||||
\(13\) | −2.00000 | −0.554700 | −0.277350 | − | 0.960769i | \(-0.589456\pi\) | ||||
−0.277350 | + | 0.960769i | \(0.589456\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −1.00000 | −0.258199 | ||||||||
\(16\) | 0.500000 | + | 0.866025i | 0.125000 | + | 0.216506i | ||||
\(17\) | −1.00000 | + | 1.73205i | −0.242536 | + | 0.420084i | −0.961436 | − | 0.275029i | \(-0.911312\pi\) |
0.718900 | + | 0.695113i | \(0.244646\pi\) | |||||||
\(18\) | 0.500000 | − | 0.866025i | 0.117851 | − | 0.204124i | ||||
\(19\) | −2.00000 | − | 3.46410i | −0.458831 | − | 0.794719i | 0.540068 | − | 0.841621i | \(-0.318398\pi\) |
−0.998899 | + | 0.0469020i | \(0.985065\pi\) | |||||||
\(20\) | −1.00000 | −0.223607 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 4.00000 | 0.852803 | ||||||||
\(23\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(24\) | 1.50000 | − | 2.59808i | 0.306186 | − | 0.530330i | ||||
\(25\) | −0.500000 | + | 0.866025i | −0.100000 | + | 0.173205i | ||||
\(26\) | −1.00000 | − | 1.73205i | −0.196116 | − | 0.339683i | ||||
\(27\) | −1.00000 | −0.192450 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −2.00000 | −0.371391 | −0.185695 | − | 0.982607i | \(-0.559454\pi\) | ||||
−0.185695 | + | 0.982607i | \(0.559454\pi\) | |||||||
\(30\) | −0.500000 | − | 0.866025i | −0.0912871 | − | 0.158114i | ||||
\(31\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(32\) | 2.50000 | − | 4.33013i | 0.441942 | − | 0.765466i | ||||
\(33\) | −2.00000 | − | 3.46410i | −0.348155 | − | 0.603023i | ||||
\(34\) | −2.00000 | −0.342997 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −1.00000 | −0.166667 | ||||||||
\(37\) | 5.00000 | + | 8.66025i | 0.821995 | + | 1.42374i | 0.904194 | + | 0.427121i | \(0.140472\pi\) |
−0.0821995 | + | 0.996616i | \(0.526194\pi\) | |||||||
\(38\) | 2.00000 | − | 3.46410i | 0.324443 | − | 0.561951i | ||||
\(39\) | −1.00000 | + | 1.73205i | −0.160128 | + | 0.277350i | ||||
\(40\) | −1.50000 | − | 2.59808i | −0.237171 | − | 0.410792i | ||||
\(41\) | 10.0000 | 1.56174 | 0.780869 | − | 0.624695i | \(-0.214777\pi\) | ||||
0.780869 | + | 0.624695i | \(0.214777\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 4.00000 | 0.609994 | 0.304997 | − | 0.952353i | \(-0.401344\pi\) | ||||
0.304997 | + | 0.952353i | \(0.401344\pi\) | |||||||
\(44\) | −2.00000 | − | 3.46410i | −0.301511 | − | 0.522233i | ||||
\(45\) | −0.500000 | + | 0.866025i | −0.0745356 | + | 0.129099i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −4.00000 | − | 6.92820i | −0.583460 | − | 1.01058i | −0.995066 | − | 0.0992202i | \(-0.968365\pi\) |
0.411606 | − | 0.911362i | \(-0.364968\pi\) | |||||||
\(48\) | 1.00000 | 0.144338 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −1.00000 | −0.141421 | ||||||||
\(51\) | 1.00000 | + | 1.73205i | 0.140028 | + | 0.242536i | ||||
\(52\) | −1.00000 | + | 1.73205i | −0.138675 | + | 0.240192i | ||||
\(53\) | 5.00000 | − | 8.66025i | 0.686803 | − | 1.18958i | −0.286064 | − | 0.958211i | \(-0.592347\pi\) |
0.972867 | − | 0.231367i | \(-0.0743197\pi\) | |||||||
\(54\) | −0.500000 | − | 0.866025i | −0.0680414 | − | 0.117851i | ||||
\(55\) | −4.00000 | −0.539360 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −4.00000 | −0.529813 | ||||||||
\(58\) | −1.00000 | − | 1.73205i | −0.131306 | − | 0.227429i | ||||
\(59\) | 2.00000 | − | 3.46410i | 0.260378 | − | 0.450988i | −0.705965 | − | 0.708247i | \(-0.749486\pi\) |
0.966342 | + | 0.257260i | \(0.0828195\pi\) | |||||||
\(60\) | −0.500000 | + | 0.866025i | −0.0645497 | + | 0.111803i | ||||
\(61\) | 1.00000 | + | 1.73205i | 0.128037 | + | 0.221766i | 0.922916 | − | 0.385002i | \(-0.125799\pi\) |
−0.794879 | + | 0.606768i | \(0.792466\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 7.00000 | 0.875000 | ||||||||
\(65\) | 1.00000 | + | 1.73205i | 0.124035 | + | 0.214834i | ||||
\(66\) | 2.00000 | − | 3.46410i | 0.246183 | − | 0.426401i | ||||
\(67\) | −6.00000 | + | 10.3923i | −0.733017 | + | 1.26962i | 0.222571 | + | 0.974916i | \(0.428555\pi\) |
−0.955588 | + | 0.294706i | \(0.904778\pi\) | |||||||
\(68\) | 1.00000 | + | 1.73205i | 0.121268 | + | 0.210042i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −8.00000 | −0.949425 | −0.474713 | − | 0.880141i | \(-0.657448\pi\) | ||||
−0.474713 | + | 0.880141i | \(0.657448\pi\) | |||||||
\(72\) | −1.50000 | − | 2.59808i | −0.176777 | − | 0.306186i | ||||
\(73\) | −5.00000 | + | 8.66025i | −0.585206 | + | 1.01361i | 0.409644 | + | 0.912245i | \(0.365653\pi\) |
−0.994850 | + | 0.101361i | \(0.967680\pi\) | |||||||
\(74\) | −5.00000 | + | 8.66025i | −0.581238 | + | 1.00673i | ||||
\(75\) | 0.500000 | + | 0.866025i | 0.0577350 | + | 0.100000i | ||||
\(76\) | −4.00000 | −0.458831 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −2.00000 | −0.226455 | ||||||||
\(79\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(80\) | 0.500000 | − | 0.866025i | 0.0559017 | − | 0.0968246i | ||||
\(81\) | −0.500000 | + | 0.866025i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | 5.00000 | + | 8.66025i | 0.552158 | + | 0.956365i | ||||
\(83\) | 12.0000 | 1.31717 | 0.658586 | − | 0.752506i | \(-0.271155\pi\) | ||||
0.658586 | + | 0.752506i | \(0.271155\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 2.00000 | 0.216930 | ||||||||
\(86\) | 2.00000 | + | 3.46410i | 0.215666 | + | 0.373544i | ||||
\(87\) | −1.00000 | + | 1.73205i | −0.107211 | + | 0.185695i | ||||
\(88\) | 6.00000 | − | 10.3923i | 0.639602 | − | 1.10782i | ||||
\(89\) | 3.00000 | + | 5.19615i | 0.317999 | + | 0.550791i | 0.980071 | − | 0.198650i | \(-0.0636557\pi\) |
−0.662071 | + | 0.749441i | \(0.730322\pi\) | |||||||
\(90\) | −1.00000 | −0.105409 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 4.00000 | − | 6.92820i | 0.412568 | − | 0.714590i | ||||
\(95\) | −2.00000 | + | 3.46410i | −0.205196 | + | 0.355409i | ||||
\(96\) | −2.50000 | − | 4.33013i | −0.255155 | − | 0.441942i | ||||
\(97\) | 2.00000 | 0.203069 | 0.101535 | − | 0.994832i | \(-0.467625\pi\) | ||||
0.101535 | + | 0.994832i | \(0.467625\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −4.00000 | −0.402015 | ||||||||
\(100\) | 0.500000 | + | 0.866025i | 0.0500000 | + | 0.0866025i | ||||
\(101\) | −3.00000 | + | 5.19615i | −0.298511 | + | 0.517036i | −0.975796 | − | 0.218685i | \(-0.929823\pi\) |
0.677284 | + | 0.735721i | \(0.263157\pi\) | |||||||
\(102\) | −1.00000 | + | 1.73205i | −0.0990148 | + | 0.171499i | ||||
\(103\) | 8.00000 | + | 13.8564i | 0.788263 | + | 1.36531i | 0.927030 | + | 0.374987i | \(0.122353\pi\) |
−0.138767 | + | 0.990325i | \(0.544314\pi\) | |||||||
\(104\) | −6.00000 | −0.588348 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 10.0000 | 0.971286 | ||||||||
\(107\) | 6.00000 | + | 10.3923i | 0.580042 | + | 1.00466i | 0.995474 | + | 0.0950377i | \(0.0302972\pi\) |
−0.415432 | + | 0.909624i | \(0.636370\pi\) | |||||||
\(108\) | −0.500000 | + | 0.866025i | −0.0481125 | + | 0.0833333i | ||||
\(109\) | −7.00000 | + | 12.1244i | −0.670478 | + | 1.16130i | 0.307290 | + | 0.951616i | \(0.400578\pi\) |
−0.977769 | + | 0.209687i | \(0.932756\pi\) | |||||||
\(110\) | −2.00000 | − | 3.46410i | −0.190693 | − | 0.330289i | ||||
\(111\) | 10.0000 | 0.949158 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 2.00000 | 0.188144 | 0.0940721 | − | 0.995565i | \(-0.470012\pi\) | ||||
0.0940721 | + | 0.995565i | \(0.470012\pi\) | |||||||
\(114\) | −2.00000 | − | 3.46410i | −0.187317 | − | 0.324443i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −1.00000 | + | 1.73205i | −0.0928477 | + | 0.160817i | ||||
\(117\) | 1.00000 | + | 1.73205i | 0.0924500 | + | 0.160128i | ||||
\(118\) | 4.00000 | 0.368230 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −3.00000 | −0.273861 | ||||||||
\(121\) | −2.50000 | − | 4.33013i | −0.227273 | − | 0.393648i | ||||
\(122\) | −1.00000 | + | 1.73205i | −0.0905357 | + | 0.156813i | ||||
\(123\) | 5.00000 | − | 8.66025i | 0.450835 | − | 0.780869i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 1.00000 | 0.0894427 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −8.00000 | −0.709885 | −0.354943 | − | 0.934888i | \(-0.615500\pi\) | ||||
−0.354943 | + | 0.934888i | \(0.615500\pi\) | |||||||
\(128\) | −1.50000 | − | 2.59808i | −0.132583 | − | 0.229640i | ||||
\(129\) | 2.00000 | − | 3.46410i | 0.176090 | − | 0.304997i | ||||
\(130\) | −1.00000 | + | 1.73205i | −0.0877058 | + | 0.151911i | ||||
\(131\) | 6.00000 | + | 10.3923i | 0.524222 | + | 0.907980i | 0.999602 | + | 0.0281993i | \(0.00897729\pi\) |
−0.475380 | + | 0.879781i | \(0.657689\pi\) | |||||||
\(132\) | −4.00000 | −0.348155 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −12.0000 | −1.03664 | ||||||||
\(135\) | 0.500000 | + | 0.866025i | 0.0430331 | + | 0.0745356i | ||||
\(136\) | −3.00000 | + | 5.19615i | −0.257248 | + | 0.445566i | ||||
\(137\) | 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 | ||||||||
\(139\) | −4.00000 | −0.339276 | −0.169638 | − | 0.985506i | \(-0.554260\pi\) | ||||
−0.169638 | + | 0.985506i | \(0.554260\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −8.00000 | −0.673722 | ||||||||
\(142\) | −4.00000 | − | 6.92820i | −0.335673 | − | 0.581402i | ||||
\(143\) | −4.00000 | + | 6.92820i | −0.334497 | + | 0.579365i | ||||
\(144\) | 0.500000 | − | 0.866025i | 0.0416667 | − | 0.0721688i | ||||
\(145\) | 1.00000 | + | 1.73205i | 0.0830455 | + | 0.143839i | ||||
\(146\) | −10.0000 | −0.827606 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 10.0000 | 0.821995 | ||||||||
\(149\) | −11.0000 | − | 19.0526i | −0.901155 | − | 1.56085i | −0.825997 | − | 0.563675i | \(-0.809387\pi\) |
−0.0751583 | − | 0.997172i | \(-0.523946\pi\) | |||||||
\(150\) | −0.500000 | + | 0.866025i | −0.0408248 | + | 0.0707107i | ||||
\(151\) | 4.00000 | − | 6.92820i | 0.325515 | − | 0.563809i | −0.656101 | − | 0.754673i | \(-0.727796\pi\) |
0.981617 | + | 0.190864i | \(0.0611289\pi\) | |||||||
\(152\) | −6.00000 | − | 10.3923i | −0.486664 | − | 0.842927i | ||||
\(153\) | 2.00000 | 0.161690 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 1.00000 | + | 1.73205i | 0.0800641 | + | 0.138675i | ||||
\(157\) | −7.00000 | + | 12.1244i | −0.558661 | + | 0.967629i | 0.438948 | + | 0.898513i | \(0.355351\pi\) |
−0.997609 | + | 0.0691164i | \(0.977982\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −5.00000 | − | 8.66025i | −0.396526 | − | 0.686803i | ||||
\(160\) | −5.00000 | −0.395285 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −1.00000 | −0.0785674 | ||||||||
\(163\) | 2.00000 | + | 3.46410i | 0.156652 | + | 0.271329i | 0.933659 | − | 0.358162i | \(-0.116597\pi\) |
−0.777007 | + | 0.629492i | \(0.783263\pi\) | |||||||
\(164\) | 5.00000 | − | 8.66025i | 0.390434 | − | 0.676252i | ||||
\(165\) | −2.00000 | + | 3.46410i | −0.155700 | + | 0.269680i | ||||
\(166\) | 6.00000 | + | 10.3923i | 0.465690 | + | 0.806599i | ||||
\(167\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −9.00000 | −0.692308 | ||||||||
\(170\) | 1.00000 | + | 1.73205i | 0.0766965 | + | 0.132842i | ||||
\(171\) | −2.00000 | + | 3.46410i | −0.152944 | + | 0.264906i | ||||
\(172\) | 2.00000 | − | 3.46410i | 0.152499 | − | 0.264135i | ||||
\(173\) | 9.00000 | + | 15.5885i | 0.684257 | + | 1.18517i | 0.973670 | + | 0.227964i | \(0.0732068\pi\) |
−0.289412 | + | 0.957205i | \(0.593460\pi\) | |||||||
\(174\) | −2.00000 | −0.151620 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 4.00000 | 0.301511 | ||||||||
\(177\) | −2.00000 | − | 3.46410i | −0.150329 | − | 0.260378i | ||||
\(178\) | −3.00000 | + | 5.19615i | −0.224860 | + | 0.389468i | ||||
\(179\) | −10.0000 | + | 17.3205i | −0.747435 | + | 1.29460i | 0.201613 | + | 0.979465i | \(0.435382\pi\) |
−0.949048 | + | 0.315130i | \(0.897952\pi\) | |||||||
\(180\) | 0.500000 | + | 0.866025i | 0.0372678 | + | 0.0645497i | ||||
\(181\) | −10.0000 | −0.743294 | −0.371647 | − | 0.928374i | \(-0.621207\pi\) | ||||
−0.371647 | + | 0.928374i | \(0.621207\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 2.00000 | 0.147844 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 5.00000 | − | 8.66025i | 0.367607 | − | 0.636715i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 4.00000 | + | 6.92820i | 0.292509 | + | 0.506640i | ||||
\(188\) | −8.00000 | −0.583460 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −4.00000 | −0.290191 | ||||||||
\(191\) | −8.00000 | − | 13.8564i | −0.578860 | − | 1.00261i | −0.995610 | − | 0.0935936i | \(-0.970165\pi\) |
0.416751 | − | 0.909021i | \(-0.363169\pi\) | |||||||
\(192\) | 3.50000 | − | 6.06218i | 0.252591 | − | 0.437500i | ||||
\(193\) | −1.00000 | + | 1.73205i | −0.0719816 | + | 0.124676i | −0.899770 | − | 0.436365i | \(-0.856266\pi\) |
0.827788 | + | 0.561041i | \(0.189599\pi\) | |||||||
\(194\) | 1.00000 | + | 1.73205i | 0.0717958 | + | 0.124354i | ||||
\(195\) | 2.00000 | 0.143223 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 6.00000 | 0.427482 | 0.213741 | − | 0.976890i | \(-0.431435\pi\) | ||||
0.213741 | + | 0.976890i | \(0.431435\pi\) | |||||||
\(198\) | −2.00000 | − | 3.46410i | −0.142134 | − | 0.246183i | ||||
\(199\) | 4.00000 | − | 6.92820i | 0.283552 | − | 0.491127i | −0.688705 | − | 0.725042i | \(-0.741820\pi\) |
0.972257 | + | 0.233915i | \(0.0751537\pi\) | |||||||
\(200\) | −1.50000 | + | 2.59808i | −0.106066 | + | 0.183712i | ||||
\(201\) | 6.00000 | + | 10.3923i | 0.423207 | + | 0.733017i | ||||
\(202\) | −6.00000 | −0.422159 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 2.00000 | 0.140028 | ||||||||
\(205\) | −5.00000 | − | 8.66025i | −0.349215 | − | 0.604858i | ||||
\(206\) | −8.00000 | + | 13.8564i | −0.557386 | + | 0.965422i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −1.00000 | − | 1.73205i | −0.0693375 | − | 0.120096i | ||||
\(209\) | −16.0000 | −1.10674 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 20.0000 | 1.37686 | 0.688428 | − | 0.725304i | \(-0.258301\pi\) | ||||
0.688428 | + | 0.725304i | \(0.258301\pi\) | |||||||
\(212\) | −5.00000 | − | 8.66025i | −0.343401 | − | 0.594789i | ||||
\(213\) | −4.00000 | + | 6.92820i | −0.274075 | + | 0.474713i | ||||
\(214\) | −6.00000 | + | 10.3923i | −0.410152 | + | 0.710403i | ||||
\(215\) | −2.00000 | − | 3.46410i | −0.136399 | − | 0.236250i | ||||
\(216\) | −3.00000 | −0.204124 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −14.0000 | −0.948200 | ||||||||
\(219\) | 5.00000 | + | 8.66025i | 0.337869 | + | 0.585206i | ||||
\(220\) | −2.00000 | + | 3.46410i | −0.134840 | + | 0.233550i | ||||
\(221\) | 2.00000 | − | 3.46410i | 0.134535 | − | 0.233021i | ||||
\(222\) | 5.00000 | + | 8.66025i | 0.335578 | + | 0.581238i | ||||
\(223\) | 8.00000 | 0.535720 | 0.267860 | − | 0.963458i | \(-0.413684\pi\) | ||||
0.267860 | + | 0.963458i | \(0.413684\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 1.00000 | 0.0666667 | ||||||||
\(226\) | 1.00000 | + | 1.73205i | 0.0665190 | + | 0.115214i | ||||
\(227\) | 10.0000 | − | 17.3205i | 0.663723 | − | 1.14960i | −0.315906 | − | 0.948790i | \(-0.602309\pi\) |
0.979630 | − | 0.200812i | \(-0.0643581\pi\) | |||||||
\(228\) | −2.00000 | + | 3.46410i | −0.132453 | + | 0.229416i | ||||
\(229\) | −3.00000 | − | 5.19615i | −0.198246 | − | 0.343371i | 0.749714 | − | 0.661762i | \(-0.230191\pi\) |
−0.947960 | + | 0.318390i | \(0.896858\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −6.00000 | −0.393919 | ||||||||
\(233\) | 3.00000 | + | 5.19615i | 0.196537 | + | 0.340411i | 0.947403 | − | 0.320043i | \(-0.103697\pi\) |
−0.750867 | + | 0.660454i | \(0.770364\pi\) | |||||||
\(234\) | −1.00000 | + | 1.73205i | −0.0653720 | + | 0.113228i | ||||
\(235\) | −4.00000 | + | 6.92820i | −0.260931 | + | 0.451946i | ||||
\(236\) | −2.00000 | − | 3.46410i | −0.130189 | − | 0.225494i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −16.0000 | −1.03495 | −0.517477 | − | 0.855697i | \(-0.673129\pi\) | ||||
−0.517477 | + | 0.855697i | \(0.673129\pi\) | |||||||
\(240\) | −0.500000 | − | 0.866025i | −0.0322749 | − | 0.0559017i | ||||
\(241\) | 7.00000 | − | 12.1244i | 0.450910 | − | 0.780998i | −0.547533 | − | 0.836784i | \(-0.684433\pi\) |
0.998443 | + | 0.0557856i | \(0.0177663\pi\) | |||||||
\(242\) | 2.50000 | − | 4.33013i | 0.160706 | − | 0.278351i | ||||
\(243\) | 0.500000 | + | 0.866025i | 0.0320750 | + | 0.0555556i | ||||
\(244\) | 2.00000 | 0.128037 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 10.0000 | 0.637577 | ||||||||
\(247\) | 4.00000 | + | 6.92820i | 0.254514 | + | 0.440831i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 6.00000 | − | 10.3923i | 0.380235 | − | 0.658586i | ||||
\(250\) | 0.500000 | + | 0.866025i | 0.0316228 | + | 0.0547723i | ||||
\(251\) | 12.0000 | 0.757433 | 0.378717 | − | 0.925513i | \(-0.376365\pi\) | ||||
0.378717 | + | 0.925513i | \(0.376365\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | −4.00000 | − | 6.92820i | −0.250982 | − | 0.434714i | ||||
\(255\) | 1.00000 | − | 1.73205i | 0.0626224 | − | 0.108465i | ||||
\(256\) | 8.50000 | − | 14.7224i | 0.531250 | − | 0.920152i | ||||
\(257\) | −9.00000 | − | 15.5885i | −0.561405 | − | 0.972381i | −0.997374 | − | 0.0724199i | \(-0.976928\pi\) |
0.435970 | − | 0.899961i | \(-0.356405\pi\) | |||||||
\(258\) | 4.00000 | 0.249029 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 2.00000 | 0.124035 | ||||||||
\(261\) | 1.00000 | + | 1.73205i | 0.0618984 | + | 0.107211i | ||||
\(262\) | −6.00000 | + | 10.3923i | −0.370681 | + | 0.642039i | ||||
\(263\) | −8.00000 | + | 13.8564i | −0.493301 | + | 0.854423i | −0.999970 | − | 0.00771799i | \(-0.997543\pi\) |
0.506669 | + | 0.862141i | \(0.330877\pi\) | |||||||
\(264\) | −6.00000 | − | 10.3923i | −0.369274 | − | 0.639602i | ||||
\(265\) | −10.0000 | −0.614295 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 6.00000 | 0.367194 | ||||||||
\(268\) | 6.00000 | + | 10.3923i | 0.366508 | + | 0.634811i | ||||
\(269\) | −7.00000 | + | 12.1244i | −0.426798 | + | 0.739235i | −0.996586 | − | 0.0825561i | \(-0.973692\pi\) |
0.569789 | + | 0.821791i | \(0.307025\pi\) | |||||||
\(270\) | −0.500000 | + | 0.866025i | −0.0304290 | + | 0.0527046i | ||||
\(271\) | −8.00000 | − | 13.8564i | −0.485965 | − | 0.841717i | 0.513905 | − | 0.857847i | \(-0.328199\pi\) |
−0.999870 | + | 0.0161307i | \(0.994865\pi\) | |||||||
\(272\) | −2.00000 | −0.121268 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 6.00000 | 0.362473 | ||||||||
\(275\) | 2.00000 | + | 3.46410i | 0.120605 | + | 0.208893i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −3.00000 | + | 5.19615i | −0.180253 | + | 0.312207i | −0.941966 | − | 0.335707i | \(-0.891025\pi\) |
0.761714 | + | 0.647913i | \(0.224358\pi\) | |||||||
\(278\) | −2.00000 | − | 3.46410i | −0.119952 | − | 0.207763i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −6.00000 | −0.357930 | −0.178965 | − | 0.983855i | \(-0.557275\pi\) | ||||
−0.178965 | + | 0.983855i | \(0.557275\pi\) | |||||||
\(282\) | −4.00000 | − | 6.92820i | −0.238197 | − | 0.412568i | ||||
\(283\) | 6.00000 | − | 10.3923i | 0.356663 | − | 0.617758i | −0.630738 | − | 0.775996i | \(-0.717248\pi\) |
0.987401 | + | 0.158237i | \(0.0505811\pi\) | |||||||
\(284\) | −4.00000 | + | 6.92820i | −0.237356 | + | 0.411113i | ||||
\(285\) | 2.00000 | + | 3.46410i | 0.118470 | + | 0.205196i | ||||
\(286\) | −8.00000 | −0.473050 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −5.00000 | −0.294628 | ||||||||
\(289\) | 6.50000 | + | 11.2583i | 0.382353 | + | 0.662255i | ||||
\(290\) | −1.00000 | + | 1.73205i | −0.0587220 | + | 0.101710i | ||||
\(291\) | 1.00000 | − | 1.73205i | 0.0586210 | − | 0.101535i | ||||
\(292\) | 5.00000 | + | 8.66025i | 0.292603 | + | 0.506803i | ||||
\(293\) | 6.00000 | 0.350524 | 0.175262 | − | 0.984522i | \(-0.443923\pi\) | ||||
0.175262 | + | 0.984522i | \(0.443923\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −4.00000 | −0.232889 | ||||||||
\(296\) | 15.0000 | + | 25.9808i | 0.871857 | + | 1.51010i | ||||
\(297\) | −2.00000 | + | 3.46410i | −0.116052 | + | 0.201008i | ||||
\(298\) | 11.0000 | − | 19.0526i | 0.637213 | − | 1.10369i | ||||
\(299\) | 0 | 0 | ||||||||
\(300\) | 1.00000 | 0.0577350 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 8.00000 | 0.460348 | ||||||||
\(303\) | 3.00000 | + | 5.19615i | 0.172345 | + | 0.298511i | ||||
\(304\) | 2.00000 | − | 3.46410i | 0.114708 | − | 0.198680i | ||||
\(305\) | 1.00000 | − | 1.73205i | 0.0572598 | − | 0.0991769i | ||||
\(306\) | 1.00000 | + | 1.73205i | 0.0571662 | + | 0.0990148i | ||||
\(307\) | 28.0000 | 1.59804 | 0.799022 | − | 0.601302i | \(-0.205351\pi\) | ||||
0.799022 | + | 0.601302i | \(0.205351\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 16.0000 | 0.910208 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 12.0000 | − | 20.7846i | 0.680458 | − | 1.17859i | −0.294384 | − | 0.955687i | \(-0.595114\pi\) |
0.974841 | − | 0.222900i | \(-0.0715523\pi\) | |||||||
\(312\) | −3.00000 | + | 5.19615i | −0.169842 | + | 0.294174i | ||||
\(313\) | −13.0000 | − | 22.5167i | −0.734803 | − | 1.27272i | −0.954810 | − | 0.297218i | \(-0.903941\pi\) |
0.220006 | − | 0.975499i | \(-0.429392\pi\) | |||||||
\(314\) | −14.0000 | −0.790066 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 1.00000 | + | 1.73205i | 0.0561656 | + | 0.0972817i | 0.892741 | − | 0.450570i | \(-0.148779\pi\) |
−0.836576 | + | 0.547852i | \(0.815446\pi\) | |||||||
\(318\) | 5.00000 | − | 8.66025i | 0.280386 | − | 0.485643i | ||||
\(319\) | −4.00000 | + | 6.92820i | −0.223957 | + | 0.387905i | ||||
\(320\) | −3.50000 | − | 6.06218i | −0.195656 | − | 0.338886i | ||||
\(321\) | 12.0000 | 0.669775 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 8.00000 | 0.445132 | ||||||||
\(324\) | 0.500000 | + | 0.866025i | 0.0277778 | + | 0.0481125i | ||||
\(325\) | 1.00000 | − | 1.73205i | 0.0554700 | − | 0.0960769i | ||||
\(326\) | −2.00000 | + | 3.46410i | −0.110770 | + | 0.191859i | ||||
\(327\) | 7.00000 | + | 12.1244i | 0.387101 | + | 0.670478i | ||||
\(328\) | 30.0000 | 1.65647 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | −4.00000 | −0.220193 | ||||||||
\(331\) | −6.00000 | − | 10.3923i | −0.329790 | − | 0.571213i | 0.652680 | − | 0.757634i | \(-0.273645\pi\) |
−0.982470 | + | 0.186421i | \(0.940311\pi\) | |||||||
\(332\) | 6.00000 | − | 10.3923i | 0.329293 | − | 0.570352i | ||||
\(333\) | 5.00000 | − | 8.66025i | 0.273998 | − | 0.474579i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 12.0000 | 0.655630 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −14.0000 | −0.762629 | −0.381314 | − | 0.924445i | \(-0.624528\pi\) | ||||
−0.381314 | + | 0.924445i | \(0.624528\pi\) | |||||||
\(338\) | −4.50000 | − | 7.79423i | −0.244768 | − | 0.423950i | ||||
\(339\) | 1.00000 | − | 1.73205i | 0.0543125 | − | 0.0940721i | ||||
\(340\) | 1.00000 | − | 1.73205i | 0.0542326 | − | 0.0939336i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | −4.00000 | −0.216295 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 12.0000 | 0.646997 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −9.00000 | + | 15.5885i | −0.483843 | + | 0.838041i | ||||
\(347\) | 14.0000 | − | 24.2487i | 0.751559 | − | 1.30174i | −0.195507 | − | 0.980702i | \(-0.562635\pi\) |
0.947067 | − | 0.321037i | \(-0.104031\pi\) | |||||||
\(348\) | 1.00000 | + | 1.73205i | 0.0536056 | + | 0.0928477i | ||||
\(349\) | −2.00000 | −0.107058 | −0.0535288 | − | 0.998566i | \(-0.517047\pi\) | ||||
−0.0535288 | + | 0.998566i | \(0.517047\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 2.00000 | 0.106752 | ||||||||
\(352\) | −10.0000 | − | 17.3205i | −0.533002 | − | 0.923186i | ||||
\(353\) | −9.00000 | + | 15.5885i | −0.479022 | + | 0.829690i | −0.999711 | − | 0.0240566i | \(-0.992342\pi\) |
0.520689 | + | 0.853746i | \(0.325675\pi\) | |||||||
\(354\) | 2.00000 | − | 3.46410i | 0.106299 | − | 0.184115i | ||||
\(355\) | 4.00000 | + | 6.92820i | 0.212298 | + | 0.367711i | ||||
\(356\) | 6.00000 | 0.317999 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −20.0000 | −1.05703 | ||||||||
\(359\) | 12.0000 | + | 20.7846i | 0.633336 | + | 1.09697i | 0.986865 | + | 0.161546i | \(0.0516481\pi\) |
−0.353529 | + | 0.935423i | \(0.615019\pi\) | |||||||
\(360\) | −1.50000 | + | 2.59808i | −0.0790569 | + | 0.136931i | ||||
\(361\) | 1.50000 | − | 2.59808i | 0.0789474 | − | 0.136741i | ||||
\(362\) | −5.00000 | − | 8.66025i | −0.262794 | − | 0.455173i | ||||
\(363\) | −5.00000 | −0.262432 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 10.0000 | 0.523424 | ||||||||
\(366\) | 1.00000 | + | 1.73205i | 0.0522708 | + | 0.0905357i | ||||
\(367\) | 12.0000 | − | 20.7846i | 0.626395 | − | 1.08495i | −0.361874 | − | 0.932227i | \(-0.617863\pi\) |
0.988269 | − | 0.152721i | \(-0.0488036\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −5.00000 | − | 8.66025i | −0.260290 | − | 0.450835i | ||||
\(370\) | 10.0000 | 0.519875 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 13.0000 | + | 22.5167i | 0.673114 | + | 1.16587i | 0.977016 | + | 0.213165i | \(0.0683772\pi\) |
−0.303902 | + | 0.952703i | \(0.598289\pi\) | |||||||
\(374\) | −4.00000 | + | 6.92820i | −0.206835 | + | 0.358249i | ||||
\(375\) | 0.500000 | − | 0.866025i | 0.0258199 | − | 0.0447214i | ||||
\(376\) | −12.0000 | − | 20.7846i | −0.618853 | − | 1.07188i | ||||
\(377\) | 4.00000 | 0.206010 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −20.0000 | −1.02733 | −0.513665 | − | 0.857991i | \(-0.671713\pi\) | ||||
−0.513665 | + | 0.857991i | \(0.671713\pi\) | |||||||
\(380\) | 2.00000 | + | 3.46410i | 0.102598 | + | 0.177705i | ||||
\(381\) | −4.00000 | + | 6.92820i | −0.204926 | + | 0.354943i | ||||
\(382\) | 8.00000 | − | 13.8564i | 0.409316 | − | 0.708955i | ||||
\(383\) | 12.0000 | + | 20.7846i | 0.613171 | + | 1.06204i | 0.990702 | + | 0.136047i | \(0.0434398\pi\) |
−0.377531 | + | 0.925997i | \(0.623227\pi\) | |||||||
\(384\) | −3.00000 | −0.153093 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −2.00000 | −0.101797 | ||||||||
\(387\) | −2.00000 | − | 3.46410i | −0.101666 | − | 0.176090i | ||||
\(388\) | 1.00000 | − | 1.73205i | 0.0507673 | − | 0.0879316i | ||||
\(389\) | −3.00000 | + | 5.19615i | −0.152106 | + | 0.263455i | −0.932002 | − | 0.362454i | \(-0.881939\pi\) |
0.779895 | + | 0.625910i | \(0.215272\pi\) | |||||||
\(390\) | 1.00000 | + | 1.73205i | 0.0506370 | + | 0.0877058i | ||||
\(391\) | 0 | 0 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 12.0000 | 0.605320 | ||||||||
\(394\) | 3.00000 | + | 5.19615i | 0.151138 | + | 0.261778i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −2.00000 | + | 3.46410i | −0.100504 | + | 0.174078i | ||||
\(397\) | 1.00000 | + | 1.73205i | 0.0501886 | + | 0.0869291i | 0.890028 | − | 0.455905i | \(-0.150684\pi\) |
−0.839840 | + | 0.542834i | \(0.817351\pi\) | |||||||
\(398\) | 8.00000 | 0.401004 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −1.00000 | −0.0500000 | ||||||||
\(401\) | −9.00000 | − | 15.5885i | −0.449439 | − | 0.778450i | 0.548911 | − | 0.835881i | \(-0.315043\pi\) |
−0.998350 | + | 0.0574304i | \(0.981709\pi\) | |||||||
\(402\) | −6.00000 | + | 10.3923i | −0.299253 | + | 0.518321i | ||||
\(403\) | 0 | 0 | ||||||||
\(404\) | 3.00000 | + | 5.19615i | 0.149256 | + | 0.258518i | ||||
\(405\) | 1.00000 | 0.0496904 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 40.0000 | 1.98273 | ||||||||
\(408\) | 3.00000 | + | 5.19615i | 0.148522 | + | 0.257248i | ||||
\(409\) | −13.0000 | + | 22.5167i | −0.642809 | + | 1.11338i | 0.341994 | + | 0.939702i | \(0.388898\pi\) |
−0.984803 | + | 0.173675i | \(0.944436\pi\) | |||||||
\(410\) | 5.00000 | − | 8.66025i | 0.246932 | − | 0.427699i | ||||
\(411\) | −3.00000 | − | 5.19615i | −0.147979 | − | 0.256307i | ||||
\(412\) | 16.0000 | 0.788263 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −6.00000 | − | 10.3923i | −0.294528 | − | 0.510138i | ||||
\(416\) | −5.00000 | + | 8.66025i | −0.245145 | + | 0.424604i | ||||
\(417\) | −2.00000 | + | 3.46410i | −0.0979404 | + | 0.169638i | ||||
\(418\) | −8.00000 | − | 13.8564i | −0.391293 | − | 0.677739i | ||||
\(419\) | 4.00000 | 0.195413 | 0.0977064 | − | 0.995215i | \(-0.468849\pi\) | ||||
0.0977064 | + | 0.995215i | \(0.468849\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −26.0000 | −1.26716 | −0.633581 | − | 0.773676i | \(-0.718416\pi\) | ||||
−0.633581 | + | 0.773676i | \(0.718416\pi\) | |||||||
\(422\) | 10.0000 | + | 17.3205i | 0.486792 | + | 0.843149i | ||||
\(423\) | −4.00000 | + | 6.92820i | −0.194487 | + | 0.336861i | ||||
\(424\) | 15.0000 | − | 25.9808i | 0.728464 | − | 1.26174i | ||||
\(425\) | −1.00000 | − | 1.73205i | −0.0485071 | − | 0.0840168i | ||||
\(426\) | −8.00000 | −0.387601 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 12.0000 | 0.580042 | ||||||||
\(429\) | 4.00000 | + | 6.92820i | 0.193122 | + | 0.334497i | ||||
\(430\) | 2.00000 | − | 3.46410i | 0.0964486 | − | 0.167054i | ||||
\(431\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(432\) | −0.500000 | − | 0.866025i | −0.0240563 | − | 0.0416667i | ||||
\(433\) | −14.0000 | −0.672797 | −0.336399 | − | 0.941720i | \(-0.609209\pi\) | ||||
−0.336399 | + | 0.941720i | \(0.609209\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 2.00000 | 0.0958927 | ||||||||
\(436\) | 7.00000 | + | 12.1244i | 0.335239 | + | 0.580651i | ||||
\(437\) | 0 | 0 | ||||||||
\(438\) | −5.00000 | + | 8.66025i | −0.238909 | + | 0.413803i | ||||
\(439\) | −20.0000 | − | 34.6410i | −0.954548 | − | 1.65333i | −0.735399 | − | 0.677634i | \(-0.763005\pi\) |
−0.219149 | − | 0.975691i | \(-0.570328\pi\) | |||||||
\(440\) | −12.0000 | −0.572078 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 4.00000 | 0.190261 | ||||||||
\(443\) | 6.00000 | + | 10.3923i | 0.285069 | + | 0.493753i | 0.972626 | − | 0.232377i | \(-0.0746503\pi\) |
−0.687557 | + | 0.726130i | \(0.741317\pi\) | |||||||
\(444\) | 5.00000 | − | 8.66025i | 0.237289 | − | 0.410997i | ||||
\(445\) | 3.00000 | − | 5.19615i | 0.142214 | − | 0.246321i | ||||
\(446\) | 4.00000 | + | 6.92820i | 0.189405 | + | 0.328060i | ||||
\(447\) | −22.0000 | −1.04056 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 2.00000 | 0.0943858 | 0.0471929 | − | 0.998886i | \(-0.484972\pi\) | ||||
0.0471929 | + | 0.998886i | \(0.484972\pi\) | |||||||
\(450\) | 0.500000 | + | 0.866025i | 0.0235702 | + | 0.0408248i | ||||
\(451\) | 20.0000 | − | 34.6410i | 0.941763 | − | 1.63118i | ||||
\(452\) | 1.00000 | − | 1.73205i | 0.0470360 | − | 0.0814688i | ||||
\(453\) | −4.00000 | − | 6.92820i | −0.187936 | − | 0.325515i | ||||
\(454\) | 20.0000 | 0.938647 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −12.0000 | −0.561951 | ||||||||
\(457\) | −5.00000 | − | 8.66025i | −0.233890 | − | 0.405110i | 0.725059 | − | 0.688686i | \(-0.241812\pi\) |
−0.958950 | + | 0.283577i | \(0.908479\pi\) | |||||||
\(458\) | 3.00000 | − | 5.19615i | 0.140181 | − | 0.242800i | ||||
\(459\) | 1.00000 | − | 1.73205i | 0.0466760 | − | 0.0808452i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −18.0000 | −0.838344 | −0.419172 | − | 0.907907i | \(-0.637680\pi\) | ||||
−0.419172 | + | 0.907907i | \(0.637680\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 24.0000 | 1.11537 | 0.557687 | − | 0.830051i | \(-0.311689\pi\) | ||||
0.557687 | + | 0.830051i | \(0.311689\pi\) | |||||||
\(464\) | −1.00000 | − | 1.73205i | −0.0464238 | − | 0.0804084i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −3.00000 | + | 5.19615i | −0.138972 | + | 0.240707i | ||||
\(467\) | −14.0000 | − | 24.2487i | −0.647843 | − | 1.12210i | −0.983637 | − | 0.180161i | \(-0.942338\pi\) |
0.335794 | − | 0.941935i | \(-0.390995\pi\) | |||||||
\(468\) | 2.00000 | 0.0924500 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −8.00000 | −0.369012 | ||||||||
\(471\) | 7.00000 | + | 12.1244i | 0.322543 | + | 0.558661i | ||||
\(472\) | 6.00000 | − | 10.3923i | 0.276172 | − | 0.478345i | ||||
\(473\) | 8.00000 | − | 13.8564i | 0.367840 | − | 0.637118i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 4.00000 | 0.183533 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −10.0000 | −0.457869 | ||||||||
\(478\) | −8.00000 | − | 13.8564i | −0.365911 | − | 0.633777i | ||||
\(479\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(480\) | −2.50000 | + | 4.33013i | −0.114109 | + | 0.197642i | ||||
\(481\) | −10.0000 | − | 17.3205i | −0.455961 | − | 0.789747i | ||||
\(482\) | 14.0000 | 0.637683 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −5.00000 | −0.227273 | ||||||||
\(485\) | −1.00000 | − | 1.73205i | −0.0454077 | − | 0.0786484i | ||||
\(486\) | −0.500000 | + | 0.866025i | −0.0226805 | + | 0.0392837i | ||||
\(487\) | −16.0000 | + | 27.7128i | −0.725029 | + | 1.25579i | 0.233933 | + | 0.972253i | \(0.424840\pi\) |
−0.958962 | + | 0.283535i | \(0.908493\pi\) | |||||||
\(488\) | 3.00000 | + | 5.19615i | 0.135804 | + | 0.235219i | ||||
\(489\) | 4.00000 | 0.180886 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 28.0000 | 1.26362 | 0.631811 | − | 0.775122i | \(-0.282312\pi\) | ||||
0.631811 | + | 0.775122i | \(0.282312\pi\) | |||||||
\(492\) | −5.00000 | − | 8.66025i | −0.225417 | − | 0.390434i | ||||
\(493\) | 2.00000 | − | 3.46410i | 0.0900755 | − | 0.156015i | ||||
\(494\) | −4.00000 | + | 6.92820i | −0.179969 | + | 0.311715i | ||||
\(495\) | 2.00000 | + | 3.46410i | 0.0898933 | + | 0.155700i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 12.0000 | 0.537733 | ||||||||
\(499\) | −2.00000 | − | 3.46410i | −0.0895323 | − | 0.155074i | 0.817781 | − | 0.575529i | \(-0.195204\pi\) |
−0.907314 | + | 0.420455i | \(0.861871\pi\) | |||||||
\(500\) | 0.500000 | − | 0.866025i | 0.0223607 | − | 0.0387298i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 6.00000 | + | 10.3923i | 0.267793 | + | 0.463831i | ||||
\(503\) | −32.0000 | −1.42681 | −0.713405 | − | 0.700752i | \(-0.752848\pi\) | ||||
−0.713405 | + | 0.700752i | \(0.752848\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 6.00000 | 0.266996 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −4.50000 | + | 7.79423i | −0.199852 | + | 0.346154i | ||||
\(508\) | −4.00000 | + | 6.92820i | −0.177471 | + | 0.307389i | ||||
\(509\) | 17.0000 | + | 29.4449i | 0.753512 | + | 1.30512i | 0.946111 | + | 0.323843i | \(0.104975\pi\) |
−0.192599 | + | 0.981278i | \(0.561692\pi\) | |||||||
\(510\) | 2.00000 | 0.0885615 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 11.0000 | 0.486136 | ||||||||
\(513\) | 2.00000 | + | 3.46410i | 0.0883022 | + | 0.152944i | ||||
\(514\) | 9.00000 | − | 15.5885i | 0.396973 | − | 0.687577i | ||||
\(515\) | 8.00000 | − | 13.8564i | 0.352522 | − | 0.610586i | ||||
\(516\) | −2.00000 | − | 3.46410i | −0.0880451 | − | 0.152499i | ||||
\(517\) | −32.0000 | −1.40736 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 18.0000 | 0.790112 | ||||||||
\(520\) | 3.00000 | + | 5.19615i | 0.131559 | + | 0.227866i | ||||
\(521\) | −5.00000 | + | 8.66025i | −0.219054 | + | 0.379413i | −0.954519 | − | 0.298150i | \(-0.903630\pi\) |
0.735465 | + | 0.677563i | \(0.236964\pi\) | |||||||
\(522\) | −1.00000 | + | 1.73205i | −0.0437688 | + | 0.0758098i | ||||
\(523\) | −2.00000 | − | 3.46410i | −0.0874539 | − | 0.151475i | 0.818980 | − | 0.573822i | \(-0.194540\pi\) |
−0.906434 | + | 0.422347i | \(0.861206\pi\) | |||||||
\(524\) | 12.0000 | 0.524222 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −16.0000 | −0.697633 | ||||||||
\(527\) | 0 | 0 | ||||||||
\(528\) | 2.00000 | − | 3.46410i | 0.0870388 | − | 0.150756i | ||||
\(529\) | 11.5000 | − | 19.9186i | 0.500000 | − | 0.866025i | ||||
\(530\) | −5.00000 | − | 8.66025i | −0.217186 | − | 0.376177i | ||||
\(531\) | −4.00000 | −0.173585 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −20.0000 | −0.866296 | ||||||||
\(534\) | 3.00000 | + | 5.19615i | 0.129823 | + | 0.224860i | ||||
\(535\) | 6.00000 | − | 10.3923i | 0.259403 | − | 0.449299i | ||||
\(536\) | −18.0000 | + | 31.1769i | −0.777482 | + | 1.34664i | ||||
\(537\) | 10.0000 | + | 17.3205i | 0.431532 | + | 0.747435i | ||||
\(538\) | −14.0000 | −0.603583 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 1.00000 | 0.0430331 | ||||||||
\(541\) | −15.0000 | − | 25.9808i | −0.644900 | − | 1.11700i | −0.984325 | − | 0.176367i | \(-0.943566\pi\) |
0.339424 | − | 0.940633i | \(-0.389768\pi\) | |||||||
\(542\) | 8.00000 | − | 13.8564i | 0.343629 | − | 0.595184i | ||||
\(543\) | −5.00000 | + | 8.66025i | −0.214571 | + | 0.371647i | ||||
\(544\) | 5.00000 | + | 8.66025i | 0.214373 | + | 0.371305i | ||||
\(545\) | 14.0000 | 0.599694 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −20.0000 | −0.855138 | −0.427569 | − | 0.903983i | \(-0.640630\pi\) | ||||
−0.427569 | + | 0.903983i | \(0.640630\pi\) | |||||||
\(548\) | −3.00000 | − | 5.19615i | −0.128154 | − | 0.221969i | ||||
\(549\) | 1.00000 | − | 1.73205i | 0.0426790 | − | 0.0739221i | ||||
\(550\) | −2.00000 | + | 3.46410i | −0.0852803 | + | 0.147710i | ||||
\(551\) | 4.00000 | + | 6.92820i | 0.170406 | + | 0.295151i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −6.00000 | −0.254916 | ||||||||
\(555\) | −5.00000 | − | 8.66025i | −0.212238 | − | 0.367607i | ||||
\(556\) | −2.00000 | + | 3.46410i | −0.0848189 | + | 0.146911i | ||||
\(557\) | 9.00000 | − | 15.5885i | 0.381342 | − | 0.660504i | −0.609912 | − | 0.792469i | \(-0.708795\pi\) |
0.991254 | + | 0.131965i | \(0.0421286\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −8.00000 | −0.338364 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 8.00000 | 0.337760 | ||||||||
\(562\) | −3.00000 | − | 5.19615i | −0.126547 | − | 0.219186i | ||||
\(563\) | −6.00000 | + | 10.3923i | −0.252870 | + | 0.437983i | −0.964315 | − | 0.264758i | \(-0.914708\pi\) |
0.711445 | + | 0.702742i | \(0.248041\pi\) | |||||||
\(564\) | −4.00000 | + | 6.92820i | −0.168430 | + | 0.291730i | ||||
\(565\) | −1.00000 | − | 1.73205i | −0.0420703 | − | 0.0728679i | ||||
\(566\) | 12.0000 | 0.504398 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −24.0000 | −1.00702 | ||||||||
\(569\) | 3.00000 | + | 5.19615i | 0.125767 | + | 0.217834i | 0.922032 | − | 0.387113i | \(-0.126528\pi\) |
−0.796266 | + | 0.604947i | \(0.793194\pi\) | |||||||
\(570\) | −2.00000 | + | 3.46410i | −0.0837708 | + | 0.145095i | ||||
\(571\) | 2.00000 | − | 3.46410i | 0.0836974 | − | 0.144968i | −0.821138 | − | 0.570730i | \(-0.806660\pi\) |
0.904835 | + | 0.425762i | \(0.139994\pi\) | |||||||
\(572\) | 4.00000 | + | 6.92820i | 0.167248 | + | 0.289683i | ||||
\(573\) | −16.0000 | −0.668410 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −3.50000 | − | 6.06218i | −0.145833 | − | 0.252591i | ||||
\(577\) | −1.00000 | + | 1.73205i | −0.0416305 | + | 0.0721062i | −0.886090 | − | 0.463513i | \(-0.846589\pi\) |
0.844459 | + | 0.535620i | \(0.179922\pi\) | |||||||
\(578\) | −6.50000 | + | 11.2583i | −0.270364 | + | 0.468285i | ||||
\(579\) | 1.00000 | + | 1.73205i | 0.0415586 | + | 0.0719816i | ||||
\(580\) | 2.00000 | 0.0830455 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 2.00000 | 0.0829027 | ||||||||
\(583\) | −20.0000 | − | 34.6410i | −0.828315 | − | 1.43468i | ||||
\(584\) | −15.0000 | + | 25.9808i | −0.620704 | + | 1.07509i | ||||
\(585\) | 1.00000 | − | 1.73205i | 0.0413449 | − | 0.0716115i | ||||
\(586\) | 3.00000 | + | 5.19615i | 0.123929 | + | 0.214651i | ||||
\(587\) | −12.0000 | −0.495293 | −0.247647 | − | 0.968850i | \(-0.579657\pi\) | ||||
−0.247647 | + | 0.968850i | \(0.579657\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | −2.00000 | − | 3.46410i | −0.0823387 | − | 0.142615i | ||||
\(591\) | 3.00000 | − | 5.19615i | 0.123404 | − | 0.213741i | ||||
\(592\) | −5.00000 | + | 8.66025i | −0.205499 | + | 0.355934i | ||||
\(593\) | −17.0000 | − | 29.4449i | −0.698106 | − | 1.20916i | −0.969122 | − | 0.246581i | \(-0.920693\pi\) |
0.271016 | − | 0.962575i | \(-0.412640\pi\) | |||||||
\(594\) | −4.00000 | −0.164122 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −22.0000 | −0.901155 | ||||||||
\(597\) | −4.00000 | − | 6.92820i | −0.163709 | − | 0.283552i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 4.00000 | − | 6.92820i | 0.163436 | − | 0.283079i | −0.772663 | − | 0.634816i | \(-0.781076\pi\) |
0.936099 | + | 0.351738i | \(0.114409\pi\) | |||||||
\(600\) | 1.50000 | + | 2.59808i | 0.0612372 | + | 0.106066i | ||||
\(601\) | 26.0000 | 1.06056 | 0.530281 | − | 0.847822i | \(-0.322086\pi\) | ||||
0.530281 | + | 0.847822i | \(0.322086\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 12.0000 | 0.488678 | ||||||||
\(604\) | −4.00000 | − | 6.92820i | −0.162758 | − | 0.281905i | ||||
\(605\) | −2.50000 | + | 4.33013i | −0.101639 | + | 0.176045i | ||||
\(606\) | −3.00000 | + | 5.19615i | −0.121867 | + | 0.211079i | ||||
\(607\) | 4.00000 | + | 6.92820i | 0.162355 | + | 0.281207i | 0.935713 | − | 0.352763i | \(-0.114758\pi\) |
−0.773358 | + | 0.633970i | \(0.781424\pi\) | |||||||
\(608\) | −20.0000 | −0.811107 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 2.00000 | 0.0809776 | ||||||||
\(611\) | 8.00000 | + | 13.8564i | 0.323645 | + | 0.560570i | ||||
\(612\) | 1.00000 | − | 1.73205i | 0.0404226 | − | 0.0700140i | ||||
\(613\) | −11.0000 | + | 19.0526i | −0.444286 | + | 0.769526i | −0.998002 | − | 0.0631797i | \(-0.979876\pi\) |
0.553716 | + | 0.832705i | \(0.313209\pi\) | |||||||
\(614\) | 14.0000 | + | 24.2487i | 0.564994 | + | 0.978598i | ||||
\(615\) | −10.0000 | −0.403239 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −6.00000 | −0.241551 | −0.120775 | − | 0.992680i | \(-0.538538\pi\) | ||||
−0.120775 | + | 0.992680i | \(0.538538\pi\) | |||||||
\(618\) | 8.00000 | + | 13.8564i | 0.321807 | + | 0.557386i | ||||
\(619\) | 2.00000 | − | 3.46410i | 0.0803868 | − | 0.139234i | −0.823029 | − | 0.567999i | \(-0.807718\pi\) |
0.903416 | + | 0.428765i | \(0.141051\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 24.0000 | 0.962312 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −2.00000 | −0.0800641 | ||||||||
\(625\) | −0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | 13.0000 | − | 22.5167i | 0.519584 | − | 0.899947i | ||||
\(627\) | −8.00000 | + | 13.8564i | −0.319489 | + | 0.553372i | ||||
\(628\) | 7.00000 | + | 12.1244i | 0.279330 | + | 0.483814i | ||||
\(629\) | −20.0000 | −0.797452 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −8.00000 | −0.318475 | −0.159237 | − | 0.987240i | \(-0.550904\pi\) | ||||
−0.159237 | + | 0.987240i | \(0.550904\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 10.0000 | − | 17.3205i | 0.397464 | − | 0.688428i | ||||
\(634\) | −1.00000 | + | 1.73205i | −0.0397151 | + | 0.0687885i | ||||
\(635\) | 4.00000 | + | 6.92820i | 0.158735 | + | 0.274937i | ||||
\(636\) | −10.0000 | −0.396526 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −8.00000 | −0.316723 | ||||||||
\(639\) | 4.00000 | + | 6.92820i | 0.158238 | + | 0.274075i | ||||
\(640\) | −1.50000 | + | 2.59808i | −0.0592927 | + | 0.102698i | ||||
\(641\) | 15.0000 | − | 25.9808i | 0.592464 | − | 1.02618i | −0.401435 | − | 0.915888i | \(-0.631488\pi\) |
0.993899 | − | 0.110291i | \(-0.0351782\pi\) | |||||||
\(642\) | 6.00000 | + | 10.3923i | 0.236801 | + | 0.410152i | ||||
\(643\) | −36.0000 | −1.41970 | −0.709851 | − | 0.704352i | \(-0.751238\pi\) | ||||
−0.709851 | + | 0.704352i | \(0.751238\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −4.00000 | −0.157500 | ||||||||
\(646\) | 4.00000 | + | 6.92820i | 0.157378 | + | 0.272587i | ||||
\(647\) | −16.0000 | + | 27.7128i | −0.629025 | + | 1.08950i | 0.358723 | + | 0.933444i | \(0.383212\pi\) |
−0.987748 | + | 0.156059i | \(0.950121\pi\) | |||||||
\(648\) | −1.50000 | + | 2.59808i | −0.0589256 | + | 0.102062i | ||||
\(649\) | −8.00000 | − | 13.8564i | −0.314027 | − | 0.543912i | ||||
\(650\) | 2.00000 | 0.0784465 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 4.00000 | 0.156652 | ||||||||
\(653\) | −23.0000 | − | 39.8372i | −0.900060 | − | 1.55895i | −0.827415 | − | 0.561591i | \(-0.810189\pi\) |
−0.0726446 | − | 0.997358i | \(-0.523144\pi\) | |||||||
\(654\) | −7.00000 | + | 12.1244i | −0.273722 | + | 0.474100i | ||||
\(655\) | 6.00000 | − | 10.3923i | 0.234439 | − | 0.406061i | ||||
\(656\) | 5.00000 | + | 8.66025i | 0.195217 | + | 0.338126i | ||||
\(657\) | 10.0000 | 0.390137 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 20.0000 | 0.779089 | 0.389545 | − | 0.921008i | \(-0.372632\pi\) | ||||
0.389545 | + | 0.921008i | \(0.372632\pi\) | |||||||
\(660\) | 2.00000 | + | 3.46410i | 0.0778499 | + | 0.134840i | ||||
\(661\) | −11.0000 | + | 19.0526i | −0.427850 | + | 0.741059i | −0.996682 | − | 0.0813955i | \(-0.974062\pi\) |
0.568831 | + | 0.822454i | \(0.307396\pi\) | |||||||
\(662\) | 6.00000 | − | 10.3923i | 0.233197 | − | 0.403908i | ||||
\(663\) | −2.00000 | − | 3.46410i | −0.0776736 | − | 0.134535i | ||||
\(664\) | 36.0000 | 1.39707 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 10.0000 | 0.387492 | ||||||||
\(667\) | 0 | 0 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 4.00000 | − | 6.92820i | 0.154649 | − | 0.267860i | ||||
\(670\) | 6.00000 | + | 10.3923i | 0.231800 | + | 0.401490i | ||||
\(671\) | 8.00000 | 0.308837 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −30.0000 | −1.15642 | −0.578208 | − | 0.815890i | \(-0.696248\pi\) | ||||
−0.578208 | + | 0.815890i | \(0.696248\pi\) | |||||||
\(674\) | −7.00000 | − | 12.1244i | −0.269630 | − | 0.467013i | ||||
\(675\) | 0.500000 | − | 0.866025i | 0.0192450 | − | 0.0333333i | ||||
\(676\) | −4.50000 | + | 7.79423i | −0.173077 | + | 0.299778i | ||||
\(677\) | −3.00000 | − | 5.19615i | −0.115299 | − | 0.199704i | 0.802600 | − | 0.596518i | \(-0.203449\pi\) |
−0.917899 | + | 0.396813i | \(0.870116\pi\) | |||||||
\(678\) | 2.00000 | 0.0768095 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 6.00000 | 0.230089 | ||||||||
\(681\) | −10.0000 | − | 17.3205i | −0.383201 | − | 0.663723i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −18.0000 | + | 31.1769i | −0.688751 | + | 1.19295i | 0.283491 | + | 0.958975i | \(0.408507\pi\) |
−0.972242 | + | 0.233977i | \(0.924826\pi\) | |||||||
\(684\) | 2.00000 | + | 3.46410i | 0.0764719 | + | 0.132453i | ||||
\(685\) | −6.00000 | −0.229248 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −6.00000 | −0.228914 | ||||||||
\(688\) | 2.00000 | + | 3.46410i | 0.0762493 | + | 0.132068i | ||||
\(689\) | −10.0000 | + | 17.3205i | −0.380970 | + | 0.659859i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 22.0000 | + | 38.1051i | 0.836919 | + | 1.44959i | 0.892458 | + | 0.451130i | \(0.148979\pi\) |
−0.0555386 | + | 0.998457i | \(0.517688\pi\) | |||||||
\(692\) | 18.0000 | 0.684257 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 28.0000 | 1.06287 | ||||||||
\(695\) | 2.00000 | + | 3.46410i | 0.0758643 | + | 0.131401i | ||||
\(696\) | −3.00000 | + | 5.19615i | −0.113715 | + | 0.196960i | ||||
\(697\) | −10.0000 | + | 17.3205i | −0.378777 | + | 0.656061i | ||||
\(698\) | −1.00000 | − | 1.73205i | −0.0378506 | − | 0.0655591i | ||||
\(699\) | 6.00000 | 0.226941 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −2.00000 | −0.0755390 | −0.0377695 | − | 0.999286i | \(-0.512025\pi\) | ||||
−0.0377695 | + | 0.999286i | \(0.512025\pi\) | |||||||
\(702\) | 1.00000 | + | 1.73205i | 0.0377426 | + | 0.0653720i | ||||
\(703\) | 20.0000 | − | 34.6410i | 0.754314 | − | 1.30651i | ||||
\(704\) | 14.0000 | − | 24.2487i | 0.527645 | − | 0.913908i | ||||
\(705\) | 4.00000 | + | 6.92820i | 0.150649 | + | 0.260931i | ||||
\(706\) | −18.0000 | −0.677439 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −4.00000 | −0.150329 | ||||||||
\(709\) | 13.0000 | + | 22.5167i | 0.488225 | + | 0.845631i | 0.999908 | − | 0.0135434i | \(-0.00431112\pi\) |
−0.511683 | + | 0.859174i | \(0.670978\pi\) | |||||||
\(710\) | −4.00000 | + | 6.92820i | −0.150117 | + | 0.260011i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 9.00000 | + | 15.5885i | 0.337289 | + | 0.584202i | ||||
\(713\) | 0 | 0 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 8.00000 | 0.299183 | ||||||||
\(716\) | 10.0000 | + | 17.3205i | 0.373718 | + | 0.647298i | ||||
\(717\) | −8.00000 | + | 13.8564i | −0.298765 | + | 0.517477i | ||||
\(718\) | −12.0000 | + | 20.7846i | −0.447836 | + | 0.775675i | ||||
\(719\) | 24.0000 | + | 41.5692i | 0.895049 | + | 1.55027i | 0.833744 | + | 0.552151i | \(0.186193\pi\) |
0.0613050 | + | 0.998119i | \(0.480474\pi\) | |||||||
\(720\) | −1.00000 | −0.0372678 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 3.00000 | 0.111648 | ||||||||
\(723\) | −7.00000 | − | 12.1244i | −0.260333 | − | 0.450910i | ||||
\(724\) | −5.00000 | + | 8.66025i | −0.185824 | + | 0.321856i | ||||
\(725\) | 1.00000 | − | 1.73205i | 0.0371391 | − | 0.0643268i | ||||
\(726\) | −2.50000 | − | 4.33013i | −0.0927837 | − | 0.160706i | ||||
\(727\) | −16.0000 | −0.593407 | −0.296704 | − | 0.954970i | \(-0.595887\pi\) | ||||
−0.296704 | + | 0.954970i | \(0.595887\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | 5.00000 | + | 8.66025i | 0.185058 | + | 0.320530i | ||||
\(731\) | −4.00000 | + | 6.92820i | −0.147945 | + | 0.256249i | ||||
\(732\) | 1.00000 | − | 1.73205i | 0.0369611 | − | 0.0640184i | ||||
\(733\) | −7.00000 | − | 12.1244i | −0.258551 | − | 0.447823i | 0.707303 | − | 0.706910i | \(-0.249912\pi\) |
−0.965854 | + | 0.259087i | \(0.916578\pi\) | |||||||
\(734\) | 24.0000 | 0.885856 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 24.0000 | + | 41.5692i | 0.884051 | + | 1.53122i | ||||
\(738\) | 5.00000 | − | 8.66025i | 0.184053 | − | 0.318788i | ||||
\(739\) | 22.0000 | − | 38.1051i | 0.809283 | − | 1.40172i | −0.104078 | − | 0.994569i | \(-0.533189\pi\) |
0.913361 | − | 0.407150i | \(-0.133477\pi\) | |||||||
\(740\) | −5.00000 | − | 8.66025i | −0.183804 | − | 0.318357i | ||||
\(741\) | 8.00000 | 0.293887 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −16.0000 | −0.586983 | −0.293492 | − | 0.955962i | \(-0.594817\pi\) | ||||
−0.293492 | + | 0.955962i | \(0.594817\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −11.0000 | + | 19.0526i | −0.403009 | + | 0.698032i | ||||
\(746\) | −13.0000 | + | 22.5167i | −0.475964 | + | 0.824394i | ||||
\(747\) | −6.00000 | − | 10.3923i | −0.219529 | − | 0.380235i | ||||
\(748\) | 8.00000 | 0.292509 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 1.00000 | 0.0365148 | ||||||||
\(751\) | −8.00000 | − | 13.8564i | −0.291924 | − | 0.505627i | 0.682341 | − | 0.731034i | \(-0.260962\pi\) |
−0.974265 | + | 0.225407i | \(0.927629\pi\) | |||||||
\(752\) | 4.00000 | − | 6.92820i | 0.145865 | − | 0.252646i | ||||
\(753\) | 6.00000 | − | 10.3923i | 0.218652 | − | 0.378717i | ||||
\(754\) | 2.00000 | + | 3.46410i | 0.0728357 | + | 0.126155i | ||||
\(755\) | −8.00000 | −0.291150 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −26.0000 | −0.944986 | −0.472493 | − | 0.881334i | \(-0.656646\pi\) | ||||
−0.472493 | + | 0.881334i | \(0.656646\pi\) | |||||||
\(758\) | −10.0000 | − | 17.3205i | −0.363216 | − | 0.629109i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −6.00000 | + | 10.3923i | −0.217643 | + | 0.376969i | ||||
\(761\) | 3.00000 | + | 5.19615i | 0.108750 | + | 0.188360i | 0.915264 | − | 0.402854i | \(-0.131982\pi\) |
−0.806514 | + | 0.591215i | \(0.798649\pi\) | |||||||
\(762\) | −8.00000 | −0.289809 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −16.0000 | −0.578860 | ||||||||
\(765\) | −1.00000 | − | 1.73205i | −0.0361551 | − | 0.0626224i | ||||
\(766\) | −12.0000 | + | 20.7846i | −0.433578 | + | 0.750978i | ||||
\(767\) | −4.00000 | + | 6.92820i | −0.144432 | + | 0.250163i | ||||
\(768\) | −8.50000 | − | 14.7224i | −0.306717 | − | 0.531250i | ||||
\(769\) | 2.00000 | 0.0721218 | 0.0360609 | − | 0.999350i | \(-0.488519\pi\) | ||||
0.0360609 | + | 0.999350i | \(0.488519\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −18.0000 | −0.648254 | ||||||||
\(772\) | 1.00000 | + | 1.73205i | 0.0359908 | + | 0.0623379i | ||||
\(773\) | −3.00000 | + | 5.19615i | −0.107903 | + | 0.186893i | −0.914920 | − | 0.403634i | \(-0.867747\pi\) |
0.807018 | + | 0.590527i | \(0.201080\pi\) | |||||||
\(774\) | 2.00000 | − | 3.46410i | 0.0718885 | − | 0.124515i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 6.00000 | 0.215387 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −6.00000 | −0.215110 | ||||||||
\(779\) | −20.0000 | − | 34.6410i | −0.716574 | − | 1.24114i | ||||
\(780\) | 1.00000 | − | 1.73205i | 0.0358057 | − | 0.0620174i | ||||
\(781\) | −16.0000 | + | 27.7128i | −0.572525 | + | 0.991642i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 2.00000 | 0.0714742 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 14.0000 | 0.499681 | ||||||||
\(786\) | 6.00000 | + | 10.3923i | 0.214013 | + | 0.370681i | ||||
\(787\) | −14.0000 | + | 24.2487i | −0.499046 | + | 0.864373i | −0.999999 | − | 0.00110111i | \(-0.999650\pi\) |
0.500953 | + | 0.865474i | \(0.332983\pi\) | |||||||
\(788\) | 3.00000 | − | 5.19615i | 0.106871 | − | 0.185105i | ||||
\(789\) | 8.00000 | + | 13.8564i | 0.284808 | + | 0.493301i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 0 | 0 | ||||||||
\(792\) | −12.0000 | −0.426401 | ||||||||
\(793\) | −2.00000 | − | 3.46410i | −0.0710221 | − | 0.123014i | ||||
\(794\) | −1.00000 | + | 1.73205i | −0.0354887 | + | 0.0614682i | ||||
\(795\) | −5.00000 | + | 8.66025i | −0.177332 | + | 0.307148i | ||||
\(796\) | −4.00000 | − | 6.92820i | −0.141776 | − | 0.245564i | ||||
\(797\) | −2.00000 | −0.0708436 | −0.0354218 | − | 0.999372i | \(-0.511277\pi\) | ||||
−0.0354218 | + | 0.999372i | \(0.511277\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 16.0000 | 0.566039 | ||||||||
\(800\) | 2.50000 | + | 4.33013i | 0.0883883 | + | 0.153093i | ||||
\(801\) | 3.00000 | − | 5.19615i | 0.106000 | − | 0.183597i | ||||
\(802\) | 9.00000 | − | 15.5885i | 0.317801 | − | 0.550448i | ||||
\(803\) | 20.0000 | + | 34.6410i | 0.705785 | + | 1.22245i | ||||
\(804\) | 12.0000 | 0.423207 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 7.00000 | + | 12.1244i | 0.246412 | + | 0.426798i | ||||
\(808\) | −9.00000 | + | 15.5885i | −0.316619 | + | 0.548400i | ||||
\(809\) | −5.00000 | + | 8.66025i | −0.175791 | + | 0.304478i | −0.940435 | − | 0.339975i | \(-0.889582\pi\) |
0.764644 | + | 0.644453i | \(0.222915\pi\) | |||||||
\(810\) | 0.500000 | + | 0.866025i | 0.0175682 | + | 0.0304290i | ||||
\(811\) | 12.0000 | 0.421377 | 0.210688 | − | 0.977553i | \(-0.432429\pi\) | ||||
0.210688 | + | 0.977553i | \(0.432429\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −16.0000 | −0.561144 | ||||||||
\(814\) | 20.0000 | + | 34.6410i | 0.701000 | + | 1.21417i | ||||
\(815\) | 2.00000 | − | 3.46410i | 0.0700569 | − | 0.121342i | ||||
\(816\) | −1.00000 | + | 1.73205i | −0.0350070 | + | 0.0606339i | ||||
\(817\) | −8.00000 | − | 13.8564i | −0.279885 | − | 0.484774i | ||||
\(818\) | −26.0000 | −0.909069 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −10.0000 | −0.349215 | ||||||||
\(821\) | −27.0000 | − | 46.7654i | −0.942306 | − | 1.63212i | −0.761056 | − | 0.648686i | \(-0.775319\pi\) |
−0.181250 | − | 0.983437i | \(-0.558014\pi\) | |||||||
\(822\) | 3.00000 | − | 5.19615i | 0.104637 | − | 0.181237i | ||||
\(823\) | −16.0000 | + | 27.7128i | −0.557725 | + | 0.966008i | 0.439961 | + | 0.898017i | \(0.354992\pi\) |
−0.997686 | + | 0.0679910i | \(0.978341\pi\) | |||||||
\(824\) | 24.0000 | + | 41.5692i | 0.836080 | + | 1.44813i | ||||
\(825\) | 4.00000 | 0.139262 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −28.0000 | −0.973655 | −0.486828 | − | 0.873498i | \(-0.661846\pi\) | ||||
−0.486828 | + | 0.873498i | \(0.661846\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −15.0000 | + | 25.9808i | −0.520972 | + | 0.902349i | 0.478731 | + | 0.877962i | \(0.341097\pi\) |
−0.999703 | + | 0.0243876i | \(0.992236\pi\) | |||||||
\(830\) | 6.00000 | − | 10.3923i | 0.208263 | − | 0.360722i | ||||
\(831\) | 3.00000 | + | 5.19615i | 0.104069 | + | 0.180253i | ||||
\(832\) | −14.0000 | −0.485363 | ||||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −4.00000 | −0.138509 | ||||||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −8.00000 | + | 13.8564i | −0.276686 | + | 0.479234i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 2.00000 | + | 3.46410i | 0.0690889 | + | 0.119665i | ||||
\(839\) | 40.0000 | 1.38095 | 0.690477 | − | 0.723355i | \(-0.257401\pi\) | ||||
0.690477 | + | 0.723355i | \(0.257401\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −25.0000 | −0.862069 | ||||||||
\(842\) | −13.0000 | − | 22.5167i | −0.448010 | − | 0.775975i | ||||
\(843\) | −3.00000 | + | 5.19615i | −0.103325 | + | 0.178965i | ||||
\(844\) | 10.0000 | − | 17.3205i | 0.344214 | − | 0.596196i | ||||
\(845\) | 4.50000 | + | 7.79423i | 0.154805 | + | 0.268130i | ||||
\(846\) | −8.00000 | −0.275046 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 10.0000 | 0.343401 | ||||||||
\(849\) | −6.00000 | − | 10.3923i | −0.205919 | − | 0.356663i | ||||
\(850\) | 1.00000 | − | 1.73205i | 0.0342997 | − | 0.0594089i | ||||
\(851\) | 0 | 0 | ||||||||
\(852\) | 4.00000 | + | 6.92820i | 0.137038 | + | 0.237356i | ||||
\(853\) | 6.00000 | 0.205436 | 0.102718 | − | 0.994711i | \(-0.467246\pi\) | ||||
0.102718 | + | 0.994711i | \(0.467246\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 4.00000 | 0.136797 | ||||||||
\(856\) | 18.0000 | + | 31.1769i | 0.615227 | + | 1.06561i | ||||
\(857\) | 11.0000 | − | 19.0526i | 0.375753 | − | 0.650823i | −0.614687 | − | 0.788771i | \(-0.710717\pi\) |
0.990439 | + | 0.137948i | \(0.0440508\pi\) | |||||||
\(858\) | −4.00000 | + | 6.92820i | −0.136558 | + | 0.236525i | ||||
\(859\) | 10.0000 | + | 17.3205i | 0.341196 | + | 0.590968i | 0.984655 | − | 0.174512i | \(-0.0558348\pi\) |
−0.643459 | + | 0.765480i | \(0.722501\pi\) | |||||||
\(860\) | −4.00000 | −0.136399 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 28.0000 | + | 48.4974i | 0.953131 | + | 1.65087i | 0.738588 | + | 0.674157i | \(0.235493\pi\) |
0.214543 | + | 0.976715i | \(0.431174\pi\) | |||||||
\(864\) | −2.50000 | + | 4.33013i | −0.0850517 | + | 0.147314i | ||||
\(865\) | 9.00000 | − | 15.5885i | 0.306009 | − | 0.530023i | ||||
\(866\) | −7.00000 | − | 12.1244i | −0.237870 | − | 0.412002i | ||||
\(867\) | 13.0000 | 0.441503 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 1.00000 | + | 1.73205i | 0.0339032 | + | 0.0587220i | ||||
\(871\) | 12.0000 | − | 20.7846i | 0.406604 | − | 0.704260i | ||||
\(872\) | −21.0000 | + | 36.3731i | −0.711150 | + | 1.23175i | ||||
\(873\) | −1.00000 | − | 1.73205i | −0.0338449 | − | 0.0586210i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 10.0000 | 0.337869 | ||||||||
\(877\) | −15.0000 | − | 25.9808i | −0.506514 | − | 0.877308i | −0.999972 | − | 0.00753813i | \(-0.997601\pi\) |
0.493458 | − | 0.869770i | \(-0.335733\pi\) | |||||||
\(878\) | 20.0000 | − | 34.6410i | 0.674967 | − | 1.16908i | ||||
\(879\) | 3.00000 | − | 5.19615i | 0.101187 | − | 0.175262i | ||||
\(880\) | −2.00000 | − | 3.46410i | −0.0674200 | − | 0.116775i | ||||
\(881\) | −46.0000 | −1.54978 | −0.774890 | − | 0.632096i | \(-0.782195\pi\) | ||||
−0.774890 | + | 0.632096i | \(0.782195\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 44.0000 | 1.48072 | 0.740359 | − | 0.672212i | \(-0.234656\pi\) | ||||
0.740359 | + | 0.672212i | \(0.234656\pi\) | |||||||
\(884\) | −2.00000 | − | 3.46410i | −0.0672673 | − | 0.116510i | ||||
\(885\) | −2.00000 | + | 3.46410i | −0.0672293 | + | 0.116445i | ||||
\(886\) | −6.00000 | + | 10.3923i | −0.201574 | + | 0.349136i | ||||
\(887\) | −24.0000 | − | 41.5692i | −0.805841 | − | 1.39576i | −0.915722 | − | 0.401813i | \(-0.868380\pi\) |
0.109881 | − | 0.993945i | \(-0.464953\pi\) | |||||||
\(888\) | 30.0000 | 1.00673 | ||||||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 6.00000 | 0.201120 | ||||||||
\(891\) | 2.00000 | + | 3.46410i | 0.0670025 | + | 0.116052i | ||||
\(892\) | 4.00000 | − | 6.92820i | 0.133930 | − | 0.231973i | ||||
\(893\) | −16.0000 | + | 27.7128i | −0.535420 | + | 0.927374i | ||||
\(894\) | −11.0000 | − | 19.0526i | −0.367895 | − | 0.637213i | ||||
\(895\) | 20.0000 | 0.668526 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 1.00000 | + | 1.73205i | 0.0333704 | + | 0.0577993i | ||||
\(899\) | 0 | 0 | ||||||||
\(900\) | 0.500000 | − | 0.866025i | 0.0166667 | − | 0.0288675i | ||||
\(901\) | 10.0000 | + | 17.3205i | 0.333148 | + | 0.577030i | ||||
\(902\) | 40.0000 | 1.33185 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 6.00000 | 0.199557 | ||||||||
\(905\) | 5.00000 | + | 8.66025i | 0.166206 | + | 0.287877i | ||||
\(906\) | 4.00000 | − | 6.92820i | 0.132891 | − | 0.230174i | ||||
\(907\) | 6.00000 | − | 10.3923i | 0.199227 | − | 0.345071i | −0.749051 | − | 0.662512i | \(-0.769490\pi\) |
0.948278 | + | 0.317441i | \(0.102824\pi\) | |||||||
\(908\) | −10.0000 | − | 17.3205i | −0.331862 | − | 0.574801i | ||||
\(909\) | 6.00000 | 0.199007 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 32.0000 | 1.06021 | 0.530104 | − | 0.847933i | \(-0.322153\pi\) | ||||
0.530104 | + | 0.847933i | \(0.322153\pi\) | |||||||
\(912\) | −2.00000 | − | 3.46410i | −0.0662266 | − | 0.114708i | ||||
\(913\) | 24.0000 | − | 41.5692i | 0.794284 | − | 1.37574i | ||||
\(914\) | 5.00000 | − | 8.66025i | 0.165385 | − | 0.286456i | ||||
\(915\) | −1.00000 | − | 1.73205i | −0.0330590 | − | 0.0572598i | ||||
\(916\) | −6.00000 | −0.198246 | ||||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 2.00000 | 0.0660098 | ||||||||
\(919\) | −20.0000 | − | 34.6410i | −0.659739 | − | 1.14270i | −0.980683 | − | 0.195603i | \(-0.937333\pi\) |
0.320944 | − | 0.947098i | \(-0.396000\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 14.0000 | − | 24.2487i | 0.461316 | − | 0.799022i | ||||
\(922\) | −9.00000 | − | 15.5885i | −0.296399 | − | 0.513378i | ||||
\(923\) | 16.0000 | 0.526646 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −10.0000 | −0.328798 | ||||||||
\(926\) | 12.0000 | + | 20.7846i | 0.394344 | + | 0.683025i | ||||
\(927\) | 8.00000 | − | 13.8564i | 0.262754 | − | 0.455104i | ||||
\(928\) | −5.00000 | + | 8.66025i | −0.164133 | + | 0.284287i | ||||
\(929\) | −17.0000 | − | 29.4449i | −0.557752 | − | 0.966055i | −0.997684 | − | 0.0680235i | \(-0.978331\pi\) |
0.439932 | − | 0.898031i | \(-0.355003\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 6.00000 | 0.196537 | ||||||||
\(933\) | −12.0000 | − | 20.7846i | −0.392862 | − | 0.680458i | ||||
\(934\) | 14.0000 | − | 24.2487i | 0.458094 | − | 0.793442i | ||||
\(935\) | 4.00000 | − | 6.92820i | 0.130814 | − | 0.226576i | ||||
\(936\) | 3.00000 | + | 5.19615i | 0.0980581 | + | 0.169842i | ||||
\(937\) | −54.0000 | −1.76410 | −0.882052 | − | 0.471153i | \(-0.843838\pi\) | ||||
−0.882052 | + | 0.471153i | \(0.843838\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −26.0000 | −0.848478 | ||||||||
\(940\) | 4.00000 | + | 6.92820i | 0.130466 | + | 0.225973i | ||||
\(941\) | 25.0000 | − | 43.3013i | 0.814977 | − | 1.41158i | −0.0943679 | − | 0.995537i | \(-0.530083\pi\) |
0.909345 | − | 0.416044i | \(-0.136584\pi\) | |||||||
\(942\) | −7.00000 | + | 12.1244i | −0.228072 | + | 0.395033i | ||||
\(943\) | 0 | 0 | ||||||||
\(944\) | 4.00000 | 0.130189 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 16.0000 | 0.520205 | ||||||||
\(947\) | 18.0000 | + | 31.1769i | 0.584921 | + | 1.01311i | 0.994885 | + | 0.101012i | \(0.0322080\pi\) |
−0.409964 | + | 0.912102i | \(0.634459\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 10.0000 | − | 17.3205i | 0.324614 | − | 0.562247i | ||||
\(950\) | 2.00000 | + | 3.46410i | 0.0648886 | + | 0.112390i | ||||
\(951\) | 2.00000 | 0.0648544 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −22.0000 | −0.712650 | −0.356325 | − | 0.934362i | \(-0.615970\pi\) | ||||
−0.356325 | + | 0.934362i | \(0.615970\pi\) | |||||||
\(954\) | −5.00000 | − | 8.66025i | −0.161881 | − | 0.280386i | ||||
\(955\) | −8.00000 | + | 13.8564i | −0.258874 | + | 0.448383i | ||||
\(956\) | −8.00000 | + | 13.8564i | −0.258738 | + | 0.448148i | ||||
\(957\) | 4.00000 | + | 6.92820i | 0.129302 | + | 0.223957i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 0 | 0 | ||||||||
\(960\) | −7.00000 | −0.225924 | ||||||||
\(961\) | 15.5000 | + | 26.8468i | 0.500000 | + | 0.866025i | ||||
\(962\) | 10.0000 | − | 17.3205i | 0.322413 | − | 0.558436i | ||||
\(963\) | 6.00000 | − | 10.3923i | 0.193347 | − | 0.334887i | ||||
\(964\) | −7.00000 | − | 12.1244i | −0.225455 | − | 0.390499i | ||||
\(965\) | 2.00000 | 0.0643823 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 32.0000 | 1.02905 | 0.514525 | − | 0.857475i | \(-0.327968\pi\) | ||||
0.514525 | + | 0.857475i | \(0.327968\pi\) | |||||||
\(968\) | −7.50000 | − | 12.9904i | −0.241059 | − | 0.417527i | ||||
\(969\) | 4.00000 | − | 6.92820i | 0.128499 | − | 0.222566i | ||||
\(970\) | 1.00000 | − | 1.73205i | 0.0321081 | − | 0.0556128i | ||||
\(971\) | −30.0000 | − | 51.9615i | −0.962746 | − | 1.66752i | −0.715553 | − | 0.698558i | \(-0.753825\pi\) |
−0.247193 | − | 0.968966i | \(-0.579508\pi\) | |||||||
\(972\) | 1.00000 | 0.0320750 | ||||||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −32.0000 | −1.02535 | ||||||||
\(975\) | −1.00000 | − | 1.73205i | −0.0320256 | − | 0.0554700i | ||||
\(976\) | −1.00000 | + | 1.73205i | −0.0320092 | + | 0.0554416i | ||||
\(977\) | −1.00000 | + | 1.73205i | −0.0319928 | + | 0.0554132i | −0.881579 | − | 0.472037i | \(-0.843519\pi\) |
0.849586 | + | 0.527451i | \(0.176852\pi\) | |||||||
\(978\) | 2.00000 | + | 3.46410i | 0.0639529 | + | 0.110770i | ||||
\(979\) | 24.0000 | 0.767043 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 14.0000 | 0.446986 | ||||||||
\(982\) | 14.0000 | + | 24.2487i | 0.446758 | + | 0.773807i | ||||
\(983\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(984\) | 15.0000 | − | 25.9808i | 0.478183 | − | 0.828236i | ||||
\(985\) | −3.00000 | − | 5.19615i | −0.0955879 | − | 0.165563i | ||||
\(986\) | 4.00000 | 0.127386 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 8.00000 | 0.254514 | ||||||||
\(989\) | 0 | 0 | ||||||||
\(990\) | −2.00000 | + | 3.46410i | −0.0635642 | + | 0.110096i | ||||
\(991\) | −16.0000 | + | 27.7128i | −0.508257 | + | 0.880327i | 0.491698 | + | 0.870766i | \(0.336377\pi\) |
−0.999954 | + | 0.00956046i | \(0.996957\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −12.0000 | −0.380808 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −8.00000 | −0.253617 | ||||||||
\(996\) | −6.00000 | − | 10.3923i | −0.190117 | − | 0.329293i | ||||
\(997\) | −27.0000 | + | 46.7654i | −0.855099 | + | 1.48107i | 0.0214550 | + | 0.999770i | \(0.493170\pi\) |
−0.876554 | + | 0.481304i | \(0.840163\pi\) | |||||||
\(998\) | 2.00000 | − | 3.46410i | 0.0633089 | − | 0.109654i | ||||
\(999\) | −5.00000 | − | 8.66025i | −0.158193 | − | 0.273998i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))