Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [675,2,Mod(226,675)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(675, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("675.226");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 675 = 3^{3} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 675.e (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: | \(5.38990213644\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 8.0.1223810289.2 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{8} - 2x^{7} + 8x^{6} - 2x^{5} + 23x^{4} - 8x^{3} + 37x^{2} + 15x + 9 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | no (minimal twist has level 225) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 226.4 | ||
Root | \(-0.816862 - 1.41485i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 675.226 |
Dual form | 675.2.e.c.451.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/675\mathbb{Z}\right)^\times\).
\(n\) | \(326\) | \(352\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.816862 | + | 1.41485i | 0.577608 | + | 1.00045i | 0.995753 | + | 0.0920666i | \(0.0293473\pi\) |
−0.418144 | + | 0.908381i | \(0.637319\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.334526 | + | 0.579416i | −0.167263 | + | 0.289708i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.252674 | − | 0.437645i | −0.0955019 | − | 0.165414i | 0.814316 | − | 0.580422i | \(-0.197112\pi\) |
−0.909818 | + | 0.415008i | \(0.863779\pi\) | |||||||
\(8\) | 2.17440 | 0.768767 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 1.55010 | + | 2.68485i | 0.467373 | + | 0.809514i | 0.999305 | − | 0.0372730i | \(-0.0118671\pi\) |
−0.531932 | + | 0.846787i | \(0.678534\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 3.11964 | − | 5.40337i | 0.865232 | − | 1.49863i | −0.00158518 | − | 0.999999i | \(-0.500505\pi\) |
0.866817 | − | 0.498627i | \(-0.166162\pi\) | |||||||
\(14\) | 0.412800 | − | 0.714990i | 0.110325 | − | 0.191089i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.44524 | + | 4.23527i | 0.611309 | + | 1.05882i | ||||
\(17\) | 6.10020 | 1.47952 | 0.739758 | − | 0.672873i | \(-0.234940\pi\) | ||||
0.739758 | + | 0.672873i | \(0.234940\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −5.57022 | −1.27790 | −0.638948 | − | 0.769250i | \(-0.720630\pi\) | ||||
−0.638948 | + | 0.769250i | \(0.720630\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −2.53244 | + | 4.38631i | −0.539917 | + | 0.935164i | ||||
\(23\) | −1.91280 | + | 3.31307i | −0.398846 | + | 0.690822i | −0.993584 | − | 0.113098i | \(-0.963923\pi\) |
0.594738 | + | 0.803920i | \(0.297256\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 10.1932 | 1.99906 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0.338104 | 0.0638957 | ||||||||
\(29\) | 1.22966 | + | 2.12984i | 0.228342 | + | 0.395501i | 0.957317 | − | 0.289040i | \(-0.0933361\pi\) |
−0.728975 | + | 0.684541i | \(0.760003\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.11429 | + | 3.66206i | −0.379738 | + | 0.657725i | −0.991024 | − | 0.133685i | \(-0.957319\pi\) |
0.611286 | + | 0.791409i | \(0.290652\pi\) | |||||||
\(32\) | −1.82044 | + | 3.15309i | −0.321811 | + | 0.557394i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 4.98302 | + | 8.63085i | 0.854581 | + | 1.48018i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 6.72677 | 1.10587 | 0.552937 | − | 0.833223i | \(-0.313507\pi\) | ||||
0.552937 | + | 0.833223i | \(0.313507\pi\) | |||||||
\(38\) | −4.55010 | − | 7.88101i | −0.738124 | − | 1.27847i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −2.72092 | + | 4.71278i | −0.424937 | + | 0.736012i | −0.996415 | − | 0.0846053i | \(-0.973037\pi\) |
0.571478 | + | 0.820618i | \(0.306370\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.663704 | − | 1.14957i | −0.101214 | − | 0.175308i | 0.810971 | − | 0.585086i | \(-0.198939\pi\) |
−0.912185 | + | 0.409779i | \(0.865606\pi\) | |||||||
\(44\) | −2.07420 | −0.312697 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −6.24997 | −0.921508 | ||||||||
\(47\) | −1.85396 | − | 3.21115i | −0.270428 | − | 0.468395i | 0.698544 | − | 0.715568i | \(-0.253832\pi\) |
−0.968971 | + | 0.247173i | \(0.920499\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 3.37231 | − | 5.84101i | 0.481759 | − | 0.834431i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 2.08720 | + | 3.61514i | 0.289443 | + | 0.501329i | ||||
\(53\) | −2.54205 | −0.349177 | −0.174589 | − | 0.984641i | \(-0.555860\pi\) | ||||
−0.174589 | + | 0.984641i | \(0.555860\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −0.549415 | − | 0.951614i | −0.0734187 | − | 0.127165i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −2.00893 | + | 3.47956i | −0.263785 | + | 0.456889i | ||||
\(59\) | 1.44116 | − | 2.49616i | 0.187623 | − | 0.324973i | −0.756834 | − | 0.653607i | \(-0.773255\pi\) |
0.944457 | + | 0.328634i | \(0.106588\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.42173 | + | 2.46250i | 0.182033 | + | 0.315291i | 0.942573 | − | 0.334001i | \(-0.108399\pi\) |
−0.760539 | + | 0.649292i | \(0.775065\pi\) | |||||||
\(62\) | −6.90833 | −0.877358 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 3.83276 | 0.479095 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −1.20326 | + | 2.08411i | −0.147002 | + | 0.254614i | −0.930118 | − | 0.367261i | \(-0.880296\pi\) |
0.783116 | + | 0.621875i | \(0.213629\pi\) | |||||||
\(68\) | −2.04068 | + | 3.53456i | −0.247468 | + | 0.428628i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −5.54205 | −0.657720 | −0.328860 | − | 0.944379i | \(-0.606664\pi\) | ||||
−0.328860 | + | 0.944379i | \(0.606664\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −11.7988 | −1.38095 | −0.690473 | − | 0.723359i | \(-0.742597\pi\) | ||||
−0.690473 | + | 0.723359i | \(0.742597\pi\) | |||||||
\(74\) | 5.49484 | + | 9.51734i | 0.638762 | + | 1.10637i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 1.86338 | − | 3.22748i | 0.213745 | − | 0.370217i | ||||
\(77\) | 0.783341 | − | 1.35679i | 0.0892700 | − | 0.154620i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.70149 | − | 2.94707i | −0.191433 | − | 0.331571i | 0.754293 | − | 0.656538i | \(-0.227980\pi\) |
−0.945725 | + | 0.324967i | \(0.894647\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −8.89047 | −0.981789 | ||||||||
\(83\) | −6.95059 | − | 12.0388i | −0.762926 | − | 1.32143i | −0.941336 | − | 0.337470i | \(-0.890429\pi\) |
0.178410 | − | 0.983956i | \(-0.442905\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 1.08431 | − | 1.87808i | 0.116924 | − | 0.202518i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 3.37054 | + | 5.83795i | 0.359301 | + | 0.622327i | ||||
\(89\) | −3.38513 | −0.358823 | −0.179411 | − | 0.983774i | \(-0.557419\pi\) | ||||
−0.179411 | + | 0.983774i | \(0.557419\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −3.15301 | −0.330525 | ||||||||
\(92\) | −1.27976 | − | 2.21661i | −0.133425 | − | 0.231098i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 3.02886 | − | 5.24614i | 0.312403 | − | 0.541098i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −5.53779 | − | 9.59173i | −0.562277 | − | 0.973892i | −0.997297 | − | 0.0734716i | \(-0.976592\pi\) |
0.435020 | − | 0.900421i | \(-0.356741\pi\) | |||||||
\(98\) | 11.0188 | 1.11307 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −8.68451 | − | 15.0420i | −0.864141 | − | 1.49674i | −0.867897 | − | 0.496744i | \(-0.834529\pi\) |
0.00375621 | − | 0.999993i | \(-0.498804\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −0.416378 | + | 0.721188i | −0.0410269 | + | 0.0710608i | −0.885810 | − | 0.464049i | \(-0.846396\pi\) |
0.844783 | + | 0.535109i | \(0.179730\pi\) | |||||||
\(104\) | 6.78334 | − | 11.7491i | 0.665161 | − | 1.15209i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −2.07650 | − | 3.59661i | −0.201688 | − | 0.349334i | ||||
\(107\) | 11.0684 | 1.07002 | 0.535012 | − | 0.844844i | \(-0.320307\pi\) | ||||
0.535012 | + | 0.844844i | \(0.320307\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −4.65836 | −0.446190 | −0.223095 | − | 0.974797i | \(-0.571616\pi\) | ||||
−0.223095 | + | 0.974797i | \(0.571616\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 1.23570 | − | 2.14029i | 0.116762 | − | 0.202238i | ||||
\(113\) | −5.99711 | + | 10.3873i | −0.564160 | + | 0.977155i | 0.432967 | + | 0.901410i | \(0.357467\pi\) |
−0.997127 | + | 0.0757447i | \(0.975867\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −1.64542 | −0.152773 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 4.70892 | 0.433491 | ||||||||
\(119\) | −1.54136 | − | 2.66972i | −0.141297 | − | 0.244733i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 0.694371 | − | 1.20269i | 0.0631246 | − | 0.109335i | ||||
\(122\) | −2.32271 | + | 4.02305i | −0.210288 | + | 0.364230i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −1.41457 | − | 2.45011i | −0.127032 | − | 0.220026i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 3.22858 | 0.286490 | 0.143245 | − | 0.989687i | \(-0.454246\pi\) | ||||
0.143245 | + | 0.989687i | \(0.454246\pi\) | |||||||
\(128\) | 6.77171 | + | 11.7289i | 0.598540 | + | 1.03670i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −4.69256 | + | 8.12776i | −0.409991 | + | 0.710125i | −0.994888 | − | 0.100982i | \(-0.967802\pi\) |
0.584897 | + | 0.811107i | \(0.301135\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 1.40745 | + | 2.43778i | 0.122042 | + | 0.211382i | ||||
\(134\) | −3.93159 | −0.339637 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 13.2643 | 1.13740 | ||||||||
\(137\) | −1.15478 | − | 2.00013i | −0.0986593 | − | 0.170883i | 0.812471 | − | 0.583002i | \(-0.198122\pi\) |
−0.911130 | + | 0.412119i | \(0.864789\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −5.44701 | + | 9.43449i | −0.462009 | + | 0.800223i | −0.999061 | − | 0.0433260i | \(-0.986205\pi\) |
0.537052 | + | 0.843549i | \(0.319538\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −4.52709 | − | 7.84115i | −0.379905 | − | 0.658014i | ||||
\(143\) | 19.3430 | 1.61754 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −9.63799 | − | 16.6935i | −0.797646 | − | 1.38156i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −2.25028 | + | 3.89760i | −0.184972 | + | 0.320381i | ||||
\(149\) | −8.17151 | + | 14.1535i | −0.669436 | + | 1.15950i | 0.308626 | + | 0.951183i | \(0.400131\pi\) |
−0.978062 | + | 0.208314i | \(0.933202\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −11.3913 | − | 19.7304i | −0.927015 | − | 1.60564i | −0.788288 | − | 0.615306i | \(-0.789032\pi\) |
−0.138727 | − | 0.990331i | \(-0.544301\pi\) | |||||||
\(152\) | −12.1119 | −0.982404 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 2.55953 | 0.206252 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 6.23035 | − | 10.7913i | 0.497236 | − | 0.861238i | −0.502759 | − | 0.864427i | \(-0.667682\pi\) |
0.999995 | + | 0.00318877i | \(0.00101502\pi\) | |||||||
\(158\) | 2.77976 | − | 4.81469i | 0.221146 | − | 0.383036i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 1.93326 | 0.152362 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 7.57384 | 0.593229 | 0.296614 | − | 0.954997i | \(-0.404142\pi\) | ||||
0.296614 | + | 0.954997i | \(0.404142\pi\) | |||||||
\(164\) | −1.82044 | − | 3.15309i | −0.142152 | − | 0.246215i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 11.3553 | − | 19.6680i | 0.881345 | − | 1.52653i | ||||
\(167\) | 1.48837 | − | 2.57793i | 0.115174 | − | 0.199486i | −0.802676 | − | 0.596416i | \(-0.796591\pi\) |
0.917849 | + | 0.396929i | \(0.129924\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −12.9643 | − | 22.4548i | −0.997252 | − | 1.72729i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0.888105 | 0.0677174 | ||||||||
\(173\) | 7.92649 | + | 13.7291i | 0.602640 | + | 1.04380i | 0.992420 | + | 0.122895i | \(0.0392177\pi\) |
−0.389780 | + | 0.920908i | \(0.627449\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −7.58073 | + | 13.1302i | −0.571419 | + | 0.989727i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −2.76518 | − | 4.78943i | −0.207259 | − | 0.358983i | ||||
\(179\) | −17.0841 | −1.27693 | −0.638463 | − | 0.769653i | \(-0.720429\pi\) | ||||
−0.638463 | + | 0.769653i | \(0.720429\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 13.3690 | 0.993712 | 0.496856 | − | 0.867833i | \(-0.334488\pi\) | ||||
0.496856 | + | 0.867833i | \(0.334488\pi\) | |||||||
\(182\) | −2.57557 | − | 4.46102i | −0.190914 | − | 0.330673i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −4.15919 | + | 7.20393i | −0.306620 | + | 0.531081i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 9.45593 | + | 16.3782i | 0.691486 | + | 1.19769i | ||||
\(188\) | 2.48079 | 0.180930 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 12.6686 | + | 21.9427i | 0.916669 | + | 1.58772i | 0.804439 | + | 0.594035i | \(0.202466\pi\) |
0.112230 | + | 0.993682i | \(0.464201\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −4.77976 | + | 8.27879i | −0.344055 | + | 0.595921i | −0.985182 | − | 0.171515i | \(-0.945134\pi\) |
0.641127 | + | 0.767435i | \(0.278467\pi\) | |||||||
\(194\) | 9.04721 | − | 15.6702i | 0.649552 | − | 1.12506i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 2.25625 | + | 3.90794i | 0.161161 | + | 0.279139i | ||||
\(197\) | −2.06841 | −0.147368 | −0.0736842 | − | 0.997282i | \(-0.523476\pi\) | ||||
−0.0736842 | + | 0.997282i | \(0.523476\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 13.0970 | 0.928419 | 0.464210 | − | 0.885725i | \(-0.346338\pi\) | ||||
0.464210 | + | 0.885725i | \(0.346338\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 14.1881 | − | 24.5745i | 0.998271 | − | 1.72906i | ||||
\(203\) | 0.621407 | − | 1.07631i | 0.0436142 | − | 0.0755421i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −1.36049 | −0.0947900 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 30.5130 | 2.11570 | ||||||||
\(209\) | −8.63441 | − | 14.9552i | −0.597255 | − | 1.03448i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −5.55595 | + | 9.62318i | −0.382487 | + | 0.662487i | −0.991417 | − | 0.130737i | \(-0.958266\pi\) |
0.608930 | + | 0.793224i | \(0.291599\pi\) | |||||||
\(212\) | 0.850382 | − | 1.47291i | 0.0584045 | − | 0.101160i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 9.04136 | + | 15.6601i | 0.618055 | + | 1.07050i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 2.13690 | 0.145063 | ||||||||
\(218\) | −3.80523 | − | 6.59086i | −0.257723 | − | 0.446389i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 19.0304 | − | 32.9617i | 1.28012 | − | 2.21724i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −1.94701 | − | 3.37231i | −0.130381 | − | 0.225827i | 0.793442 | − | 0.608645i | \(-0.208287\pi\) |
−0.923824 | + | 0.382819i | \(0.874953\pi\) | |||||||
\(224\) | 1.83991 | 0.122934 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −19.5952 | −1.30346 | ||||||||
\(227\) | −6.40406 | − | 11.0922i | −0.425053 | − | 0.736213i | 0.571373 | − | 0.820691i | \(-0.306411\pi\) |
−0.996425 | + | 0.0844781i | \(0.973078\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −3.32647 | + | 5.76162i | −0.219820 | + | 0.380739i | −0.954753 | − | 0.297401i | \(-0.903880\pi\) |
0.734933 | + | 0.678140i | \(0.237214\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 2.67378 | + | 4.63112i | 0.175542 | + | 0.304048i | ||||
\(233\) | −3.65836 | −0.239667 | −0.119833 | − | 0.992794i | \(-0.538236\pi\) | ||||
−0.119833 | + | 0.992794i | \(0.538236\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 0.964212 | + | 1.67006i | 0.0627648 | + | 0.108712i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 2.51816 | − | 4.36158i | 0.163228 | − | 0.282720i | ||||
\(239\) | −7.84576 | + | 13.5893i | −0.507500 | + | 0.879016i | 0.492462 | + | 0.870334i | \(0.336097\pi\) |
−0.999962 | + | 0.00868195i | \(0.997236\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −5.61248 | − | 9.72110i | −0.361532 | − | 0.626191i | 0.626681 | − | 0.779276i | \(-0.284413\pi\) |
−0.988213 | + | 0.153084i | \(0.951079\pi\) | |||||||
\(242\) | 2.26882 | 0.145845 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −1.90242 | −0.121790 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −17.3771 | + | 30.0980i | −1.10568 | + | 1.91509i | ||||
\(248\) | −4.59731 | + | 7.96278i | −0.291930 | + | 0.505637i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −6.94042 | −0.438075 | −0.219038 | − | 0.975716i | \(-0.570292\pi\) | ||||
−0.219038 | + | 0.975716i | \(0.570292\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −11.8601 | −0.745640 | ||||||||
\(254\) | 2.63730 | + | 4.56794i | 0.165479 | + | 0.286618i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −7.23035 | + | 12.5233i | −0.451897 | + | 0.782708i | ||||
\(257\) | −9.16635 | + | 15.8766i | −0.571781 | + | 0.990354i | 0.424602 | + | 0.905380i | \(0.360414\pi\) |
−0.996383 | + | 0.0849739i | \(0.972919\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −1.69968 | − | 2.94393i | −0.105613 | − | 0.182927i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −15.3327 | −0.947257 | ||||||||
\(263\) | −8.03832 | − | 13.9228i | −0.495664 | − | 0.858515i | 0.504323 | − | 0.863515i | \(-0.331742\pi\) |
−0.999988 | + | 0.00499942i | \(0.998409\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −2.29939 | + | 3.98265i | −0.140984 | + | 0.244192i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −0.805043 | − | 1.39438i | −0.0491758 | − | 0.0851751i | ||||
\(269\) | 18.2004 | 1.10970 | 0.554849 | − | 0.831951i | \(-0.312776\pi\) | ||||
0.554849 | + | 0.831951i | \(0.312776\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −2.48571 | −0.150996 | −0.0754979 | − | 0.997146i | \(-0.524055\pi\) | ||||
−0.0754979 | + | 0.997146i | \(0.524055\pi\) | |||||||
\(272\) | 14.9164 | + | 25.8360i | 0.904442 | + | 1.56654i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 1.88659 | − | 3.26766i | 0.113973 | − | 0.197407i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 3.83363 | + | 6.64004i | 0.230341 | + | 0.398962i | 0.957908 | − | 0.287074i | \(-0.0926826\pi\) |
−0.727568 | + | 0.686036i | \(0.759349\pi\) | |||||||
\(278\) | −17.7978 | −1.06744 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 0.136615 | + | 0.236624i | 0.00814978 | + | 0.0141158i | 0.870072 | − | 0.492925i | \(-0.164072\pi\) |
−0.861922 | + | 0.507041i | \(0.830739\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 1.68544 | − | 2.91928i | 0.100189 | − | 0.173533i | −0.811573 | − | 0.584251i | \(-0.801389\pi\) |
0.911763 | + | 0.410718i | \(0.134722\pi\) | |||||||
\(284\) | 1.85396 | − | 3.21115i | 0.110012 | − | 0.190547i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 15.8006 | + | 27.3674i | 0.934307 | + | 1.61827i | ||||
\(287\) | 2.75003 | 0.162329 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 20.2125 | 1.18897 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 3.94701 | − | 6.83642i | 0.230981 | − | 0.400071i | ||||
\(293\) | 2.82202 | − | 4.88788i | 0.164864 | − | 0.285553i | −0.771743 | − | 0.635935i | \(-0.780615\pi\) |
0.936607 | + | 0.350382i | \(0.113948\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 14.6267 | 0.850159 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −26.7000 | −1.54669 | ||||||||
\(299\) | 11.9345 | + | 20.6711i | 0.690189 | + | 1.19544i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.335402 | + | 0.580933i | −0.0193322 | + | 0.0334844i | ||||
\(302\) | 18.6103 | − | 32.2340i | 1.07090 | − | 1.85486i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −13.6205 | − | 23.5914i | −0.781190 | − | 1.35306i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −5.44105 | −0.310537 | −0.155269 | − | 0.987872i | \(-0.549624\pi\) | ||||
−0.155269 | + | 0.987872i | \(0.549624\pi\) | |||||||
\(308\) | 0.524096 | + | 0.907761i | 0.0298632 | + | 0.0517245i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −9.53985 | + | 16.5235i | −0.540955 | + | 0.936962i | 0.457895 | + | 0.889007i | \(0.348604\pi\) |
−0.998849 | + | 0.0479550i | \(0.984730\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −4.57116 | − | 7.91747i | −0.258377 | − | 0.447522i | 0.707430 | − | 0.706783i | \(-0.249854\pi\) |
−0.965807 | + | 0.259261i | \(0.916521\pi\) | |||||||
\(314\) | 20.3573 | 1.14883 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 2.27677 | 0.128078 | ||||||||
\(317\) | −7.11836 | − | 12.3294i | −0.399807 | − | 0.692486i | 0.593895 | − | 0.804543i | \(-0.297590\pi\) |
−0.993702 | + | 0.112056i | \(0.964256\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −3.81220 | + | 6.60292i | −0.213442 | + | 0.369693i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 1.57921 | + | 2.73527i | 0.0880057 | + | 0.152430i | ||||
\(323\) | −33.9795 | −1.89067 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 6.18678 | + | 10.7158i | 0.342654 | + | 0.593494i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −5.91638 | + | 10.2475i | −0.326677 | + | 0.565822i | ||||
\(329\) | −0.936896 | + | 1.62275i | −0.0516527 | + | 0.0894652i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 6.10001 | + | 10.5655i | 0.335287 | + | 0.580734i | 0.983540 | − | 0.180691i | \(-0.0578334\pi\) |
−0.648253 | + | 0.761425i | \(0.724500\pi\) | |||||||
\(332\) | 9.30061 | 0.510437 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 4.86317 | 0.266101 | ||||||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 2.29493 | − | 3.97494i | 0.125013 | − | 0.216529i | −0.796725 | − | 0.604342i | \(-0.793436\pi\) |
0.921738 | + | 0.387813i | \(0.126769\pi\) | |||||||
\(338\) | 21.1800 | − | 36.6849i | 1.15204 | − | 1.99540i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −13.1094 | −0.709917 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −6.94582 | −0.375039 | ||||||||
\(344\) | −1.44316 | − | 2.49962i | −0.0778099 | − | 0.134771i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −12.9497 | + | 22.4295i | −0.696180 | + | 1.20582i | ||||
\(347\) | −16.7301 | + | 28.9775i | −0.898121 | + | 1.55559i | −0.0682272 | + | 0.997670i | \(0.521734\pi\) |
−0.829894 | + | 0.557921i | \(0.811599\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 14.0408 | + | 24.3193i | 0.751586 | + | 1.30178i | 0.947054 | + | 0.321074i | \(0.104044\pi\) |
−0.195468 | + | 0.980710i | \(0.562623\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −11.2875 | −0.601624 | ||||||||
\(353\) | 0.920851 | + | 1.59496i | 0.0490119 | + | 0.0848912i | 0.889491 | − | 0.456954i | \(-0.151059\pi\) |
−0.840479 | + | 0.541845i | \(0.817726\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 1.13241 | − | 1.96140i | 0.0600178 | − | 0.103954i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −13.9553 | − | 24.1714i | −0.737563 | − | 1.27750i | ||||
\(359\) | 12.1119 | 0.639241 | 0.319621 | − | 0.947546i | \(-0.396445\pi\) | ||||
0.319621 | + | 0.947546i | \(0.396445\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 12.0274 | 0.633020 | ||||||||
\(362\) | 10.9206 | + | 18.9151i | 0.573976 | + | 0.994156i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 1.05476 | − | 1.82690i | 0.0552846 | − | 0.0957558i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −7.28688 | − | 12.6212i | −0.380372 | − | 0.658824i | 0.610743 | − | 0.791829i | \(-0.290871\pi\) |
−0.991115 | + | 0.133005i | \(0.957537\pi\) | |||||||
\(368\) | −18.7090 | −0.975274 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 0.642310 | + | 1.11251i | 0.0333471 | + | 0.0577589i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −4.72323 | + | 8.18087i | −0.244560 | + | 0.423590i | −0.962008 | − | 0.273022i | \(-0.911977\pi\) |
0.717448 | + | 0.696612i | \(0.245310\pi\) | |||||||
\(374\) | −15.4484 | + | 26.7574i | −0.798817 | + | 1.38359i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −4.03125 | − | 6.98233i | −0.207896 | − | 0.360086i | ||||
\(377\) | 15.3444 | 0.790276 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −28.5541 | −1.46673 | −0.733363 | − | 0.679837i | \(-0.762051\pi\) | ||||
−0.733363 | + | 0.679837i | \(0.762051\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −20.6970 | + | 35.8483i | −1.05895 | + | 1.83416i | ||||
\(383\) | −0.732704 | + | 1.26908i | −0.0374394 | + | 0.0648470i | −0.884138 | − | 0.467226i | \(-0.845253\pi\) |
0.846699 | + | 0.532073i | \(0.178587\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −15.6176 | −0.794916 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 7.41014 | 0.376193 | ||||||||
\(389\) | −6.45506 | − | 11.1805i | −0.327284 | − | 0.566873i | 0.654688 | − | 0.755900i | \(-0.272800\pi\) |
−0.981972 | + | 0.189026i | \(0.939467\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −11.6685 | + | 20.2104i | −0.590100 | + | 1.02208i | ||||
\(392\) | 7.33276 | − | 12.7007i | 0.370360 | − | 0.641483i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −1.68961 | − | 2.92649i | −0.0851212 | − | 0.147434i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 0.868386 | 0.0435831 | 0.0217915 | − | 0.999763i | \(-0.493063\pi\) | ||||
0.0217915 | + | 0.999763i | \(0.493063\pi\) | |||||||
\(398\) | 10.6984 | + | 18.5302i | 0.536263 | + | 0.928834i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 16.7063 | − | 28.9361i | 0.834270 | − | 1.44500i | −0.0603527 | − | 0.998177i | \(-0.519223\pi\) |
0.894623 | − | 0.446822i | \(-0.147444\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 13.1916 | + | 22.8486i | 0.657122 | + | 1.13817i | ||||
\(404\) | 11.6208 | 0.578156 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 2.03042 | 0.100768 | ||||||||
\(407\) | 10.4272 | + | 18.0604i | 0.516856 | + | 0.895221i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −2.52767 | + | 4.37806i | −0.124985 | + | 0.216481i | −0.921727 | − | 0.387839i | \(-0.873222\pi\) |
0.796742 | + | 0.604320i | \(0.206555\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −0.278579 | − | 0.482512i | −0.0137246 | − | 0.0237717i | ||||
\(413\) | −1.45658 | −0.0716734 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 11.3582 | + | 19.6730i | 0.556883 | + | 0.964549i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 14.1062 | − | 24.4327i | 0.689959 | − | 1.19504i | ||||
\(419\) | 5.47880 | − | 9.48955i | 0.267657 | − | 0.463595i | −0.700600 | − | 0.713555i | \(-0.747084\pi\) |
0.968256 | + | 0.249960i | \(0.0804174\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 5.31932 | + | 9.21333i | 0.259248 | + | 0.449030i | 0.966041 | − | 0.258390i | \(-0.0831921\pi\) |
−0.706793 | + | 0.707421i | \(0.749859\pi\) | |||||||
\(422\) | −18.1538 | −0.883711 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −5.52744 | −0.268436 | ||||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0.718467 | − | 1.24442i | 0.0347691 | − | 0.0602218i | ||||
\(428\) | −3.70267 | + | 6.41322i | −0.178975 | + | 0.309995i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 37.3529 | 1.79923 | 0.899613 | − | 0.436687i | \(-0.143848\pi\) | ||||
0.899613 | + | 0.436687i | \(0.143848\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 17.2125 | 0.827179 | 0.413589 | − | 0.910464i | \(-0.364275\pi\) | ||||
0.413589 | + | 0.910464i | \(0.364275\pi\) | |||||||
\(434\) | 1.74556 | + | 3.02339i | 0.0837894 | + | 0.145127i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 1.55834 | − | 2.69913i | 0.0746310 | − | 0.129265i | ||||
\(437\) | 10.6547 | − | 18.4545i | 0.509684 | − | 0.882799i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 15.8744 | + | 27.4952i | 0.757642 | + | 1.31228i | 0.944050 | + | 0.329803i | \(0.106982\pi\) |
−0.186408 | + | 0.982473i | \(0.559684\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 62.1809 | 2.95764 | ||||||||
\(443\) | 0.177979 | + | 0.308268i | 0.00845603 | + | 0.0146463i | 0.870222 | − | 0.492659i | \(-0.163975\pi\) |
−0.861766 | + | 0.507305i | \(0.830642\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 3.18087 | − | 5.50943i | 0.150619 | − | 0.260879i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −0.968438 | − | 1.67738i | −0.0457544 | − | 0.0792490i | ||||
\(449\) | 7.85632 | 0.370762 | 0.185381 | − | 0.982667i | \(-0.440648\pi\) | ||||
0.185381 | + | 0.982667i | \(0.440648\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −16.8708 | −0.794416 | ||||||||
\(452\) | −4.01238 | − | 6.94964i | −0.188726 | − | 0.326884i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 10.4625 | − | 18.1215i | 0.491028 | − | 0.850485i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 10.7455 | + | 18.6118i | 0.502654 | + | 0.870622i | 0.999995 | + | 0.00306742i | \(0.000976391\pi\) |
−0.497341 | + | 0.867555i | \(0.665690\pi\) | |||||||
\(458\) | −10.8691 | −0.507879 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 20.4964 | + | 35.5007i | 0.954611 | + | 1.65343i | 0.735256 | + | 0.677789i | \(0.237062\pi\) |
0.219355 | + | 0.975645i | \(0.429605\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 21.0669 | − | 36.4890i | 0.979063 | − | 1.69579i | 0.313248 | − | 0.949671i | \(-0.398583\pi\) |
0.665816 | − | 0.746116i | \(-0.268084\pi\) | |||||||
\(464\) | −6.01363 | + | 10.4159i | −0.279176 | + | 0.483546i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −2.98837 | − | 5.17601i | −0.138434 | − | 0.239774i | ||||
\(467\) | −22.5376 | −1.04292 | −0.521459 | − | 0.853276i | \(-0.674612\pi\) | ||||
−0.521459 | + | 0.853276i | \(0.674612\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 1.21613 | 0.0561557 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 3.13366 | − | 5.42766i | 0.144238 | − | 0.249828i | ||||
\(473\) | 2.05762 | − | 3.56390i | 0.0946093 | − | 0.163868i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 2.06251 | 0.0945348 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −25.6356 | −1.17255 | ||||||||
\(479\) | −16.6440 | − | 28.8282i | −0.760483 | − | 1.31720i | −0.942602 | − | 0.333919i | \(-0.891629\pi\) |
0.182119 | − | 0.983277i | \(-0.441704\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 20.9851 | − | 36.3472i | 0.956837 | − | 1.65729i | ||||
\(482\) | 9.16924 | − | 15.8816i | 0.417647 | − | 0.723387i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0.464570 | + | 0.804660i | 0.0211168 | + | 0.0365754i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −23.7703 | −1.07713 | −0.538566 | − | 0.842583i | \(-0.681034\pi\) | ||||
−0.538566 | + | 0.842583i | \(0.681034\pi\) | |||||||
\(488\) | 3.09140 | + | 5.35447i | 0.139941 | + | 0.242385i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −2.30281 | + | 3.98859i | −0.103925 | + | 0.180003i | −0.913298 | − | 0.407291i | \(-0.866473\pi\) |
0.809374 | + | 0.587294i | \(0.199807\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 7.50118 | + | 12.9924i | 0.337836 | + | 0.585150i | ||||
\(494\) | −56.7787 | −2.55459 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −20.6797 | −0.928548 | ||||||||
\(497\) | 1.40033 | + | 2.42545i | 0.0628135 | + | 0.108796i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 9.44878 | − | 16.3658i | 0.422985 | − | 0.732632i | −0.573245 | − | 0.819384i | \(-0.694316\pi\) |
0.996230 | + | 0.0867522i | \(0.0276488\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −5.66936 | − | 9.81962i | −0.253036 | − | 0.438271i | ||||
\(503\) | 35.7581 | 1.59438 | 0.797188 | − | 0.603731i | \(-0.206320\pi\) | ||||
0.797188 | + | 0.603731i | \(0.206320\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −9.68809 | − | 16.7803i | −0.430688 | − | 0.745974i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −1.08004 | + | 1.87069i | −0.0479192 | + | 0.0829985i | ||||
\(509\) | 12.2034 | − | 21.1368i | 0.540904 | − | 0.936874i | −0.457948 | − | 0.888979i | \(-0.651415\pi\) |
0.998852 | − | 0.0478949i | \(-0.0152513\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 2.98125 | + | 5.16368i | 0.131883 | + | 0.228428i | ||||
\(512\) | 3.46207 | 0.153003 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −29.9506 | −1.32106 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 5.74765 | − | 9.95523i | 0.252782 | − | 0.437830i | ||||
\(518\) | 2.77681 | − | 4.80957i | 0.122006 | − | 0.211321i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −33.3968 | −1.46314 | −0.731571 | − | 0.681766i | \(-0.761212\pi\) | ||||
−0.731571 | + | 0.681766i | \(0.761212\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 37.3654 | 1.63388 | 0.816938 | − | 0.576726i | \(-0.195670\pi\) | ||||
0.816938 | + | 0.576726i | \(0.195670\pi\) | |||||||
\(524\) | −3.13957 | − | 5.43789i | −0.137153 | − | 0.237555i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 13.1324 | − | 22.7460i | 0.572600 | − | 0.991772i | ||||
\(527\) | −12.8976 | + | 22.3393i | −0.561828 | + | 0.973115i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 4.18239 | + | 7.24412i | 0.181843 | + | 0.314962i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −1.88332 | −0.0816521 | ||||||||
\(533\) | 16.9766 | + | 29.4043i | 0.735338 | + | 1.27364i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −2.61637 | + | 4.53168i | −0.113010 | + | 0.195739i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 14.8672 | + | 25.7508i | 0.640971 | + | 1.11019i | ||||
\(539\) | 20.9097 | 0.900645 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 28.2560 | 1.21482 | 0.607409 | − | 0.794389i | \(-0.292209\pi\) | ||||
0.607409 | + | 0.794389i | \(0.292209\pi\) | |||||||
\(542\) | −2.03048 | − | 3.51689i | −0.0872165 | − | 0.151063i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −11.1051 | + | 19.2345i | −0.476125 | + | 0.824673i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −19.2726 | − | 33.3811i | −0.824036 | − | 1.42727i | −0.902654 | − | 0.430368i | \(-0.858384\pi\) |
0.0786172 | − | 0.996905i | \(-0.474950\pi\) | |||||||
\(548\) | 1.54521 | 0.0660082 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −6.84949 | − | 11.8637i | −0.291798 | − | 0.505409i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −0.859845 | + | 1.48929i | −0.0365643 | + | 0.0633313i | ||||
\(554\) | −6.26309 | + | 10.8480i | −0.266093 | + | 0.460887i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −3.64433 | − | 6.31217i | −0.154554 | − | 0.267696i | ||||
\(557\) | −27.4125 | −1.16151 | −0.580753 | − | 0.814080i | \(-0.697242\pi\) | ||||
−0.580753 | + | 0.814080i | \(0.697242\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −8.28206 | −0.350294 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −0.223191 | + | 0.386579i | −0.00941476 | + | 0.0163068i | ||||
\(563\) | 13.8196 | − | 23.9363i | 0.582427 | − | 1.00879i | −0.412764 | − | 0.910838i | \(-0.635437\pi\) |
0.995191 | − | 0.0979551i | \(-0.0312302\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 5.50710 | 0.231481 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −12.0506 | −0.505634 | ||||||||
\(569\) | −7.35807 | − | 12.7446i | −0.308467 | − | 0.534280i | 0.669561 | − | 0.742757i | \(-0.266482\pi\) |
−0.978027 | + | 0.208478i | \(0.933149\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 14.1503 | − | 24.5090i | 0.592172 | − | 1.02567i | −0.401768 | − | 0.915742i | \(-0.631604\pi\) |
0.993939 | − | 0.109930i | \(-0.0350627\pi\) | |||||||
\(572\) | −6.47074 | + | 11.2077i | −0.270555 | + | 0.468616i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 2.24639 | + | 3.89087i | 0.0937626 | + | 0.162402i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 40.7976 | 1.69843 | 0.849214 | − | 0.528049i | \(-0.177076\pi\) | ||||
0.849214 | + | 0.528049i | \(0.177076\pi\) | |||||||
\(578\) | 16.5108 | + | 28.5975i | 0.686759 | + | 1.18950i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −3.51247 | + | 6.08377i | −0.145722 | + | 0.252397i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −3.94044 | − | 6.82504i | −0.163196 | − | 0.282664i | ||||
\(584\) | −25.6553 | −1.06162 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 9.22080 | 0.380908 | ||||||||
\(587\) | −1.39016 | − | 2.40784i | −0.0573782 | − | 0.0993820i | 0.835910 | − | 0.548867i | \(-0.184941\pi\) |
−0.893288 | + | 0.449485i | \(0.851607\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 11.7771 | − | 20.3985i | 0.485265 | − | 0.840504i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 16.4485 | + | 28.4897i | 0.676031 | + | 1.17092i | ||||
\(593\) | −14.8084 | −0.608109 | −0.304055 | − | 0.952655i | \(-0.598341\pi\) | ||||
−0.304055 | + | 0.952655i | \(0.598341\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −5.46717 | − | 9.46941i | −0.223944 | − | 0.387882i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −19.4976 | + | 33.7709i | −0.797318 | + | 1.38100i | ||||
\(599\) | −8.17151 | + | 14.1535i | −0.333879 | + | 0.578295i | −0.983269 | − | 0.182160i | \(-0.941691\pi\) |
0.649390 | + | 0.760456i | \(0.275024\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 3.31185 | + | 5.73630i | 0.135093 | + | 0.233988i | 0.925633 | − | 0.378422i | \(-0.123533\pi\) |
−0.790540 | + | 0.612411i | \(0.790200\pi\) | |||||||
\(602\) | −1.09591 | −0.0446658 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 15.2428 | 0.620221 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 15.1547 | − | 26.2487i | 0.615110 | − | 1.06540i | −0.375256 | − | 0.926921i | \(-0.622445\pi\) |
0.990365 | − | 0.138480i | \(-0.0442216\pi\) | |||||||
\(608\) | 10.1403 | − | 17.5634i | 0.411242 | − | 0.712291i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −23.1347 | −0.935931 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −14.7803 | −0.596969 | −0.298484 | − | 0.954415i | \(-0.596481\pi\) | ||||
−0.298484 | + | 0.954415i | \(0.596481\pi\) | |||||||
\(614\) | −4.44459 | − | 7.69825i | −0.179369 | − | 0.310676i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 1.70330 | − | 2.95020i | 0.0686278 | − | 0.118867i | ||||
\(617\) | 16.9256 | − | 29.3160i | 0.681399 | − | 1.18022i | −0.293155 | − | 0.956065i | \(-0.594705\pi\) |
0.974554 | − | 0.224152i | \(-0.0719614\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −5.84433 | − | 10.1227i | −0.234903 | − | 0.406865i | 0.724341 | − | 0.689442i | \(-0.242144\pi\) |
−0.959245 | + | 0.282577i | \(0.908811\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −31.1709 | −1.24984 | ||||||||
\(623\) | 0.855334 | + | 1.48148i | 0.0342682 | + | 0.0593543i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 7.46800 | − | 12.9350i | 0.298481 | − | 0.516985i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 4.16843 | + | 7.21993i | 0.166338 | + | 0.288107i | ||||
\(629\) | 41.0347 | 1.63616 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −38.1357 | −1.51816 | −0.759078 | − | 0.650999i | \(-0.774350\pi\) | ||||
−0.759078 | + | 0.650999i | \(0.774350\pi\) | |||||||
\(632\) | −3.69972 | − | 6.40810i | −0.147167 | − | 0.254901i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 11.6294 | − | 20.1428i | 0.461864 | − | 0.799972i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −21.0408 | − | 36.4437i | −0.833666 | − | 1.44395i | ||||
\(638\) | −12.4562 | −0.493144 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −17.3827 | − | 30.1077i | −0.686576 | − | 1.18918i | −0.972939 | − | 0.231063i | \(-0.925780\pi\) |
0.286363 | − | 0.958121i | \(-0.407554\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 1.34258 | − | 2.32541i | 0.0529461 | − | 0.0917053i | −0.838338 | − | 0.545151i | \(-0.816472\pi\) |
0.891284 | + | 0.453446i | \(0.149806\pi\) | |||||||
\(644\) | −0.646726 | + | 1.12016i | −0.0254846 | + | 0.0441406i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −27.7565 | − | 48.0757i | −1.09207 | − | 1.89151i | ||||
\(647\) | 40.5103 | 1.59262 | 0.796311 | − | 0.604887i | \(-0.206782\pi\) | ||||
0.796311 | + | 0.604887i | \(0.206782\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 8.93578 | 0.350760 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −2.53365 | + | 4.38841i | −0.0992253 | + | 0.171863i | ||||
\(653\) | −6.66772 | + | 11.5488i | −0.260928 | + | 0.451941i | −0.966489 | − | 0.256709i | \(-0.917362\pi\) |
0.705561 | + | 0.708650i | \(0.250695\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −26.6132 | −1.03907 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −3.06126 | −0.119340 | ||||||||
\(659\) | 15.5772 | + | 26.9804i | 0.606800 | + | 1.05101i | 0.991764 | + | 0.128077i | \(0.0408803\pi\) |
−0.384965 | + | 0.922931i | \(0.625786\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −3.15894 | + | 5.47145i | −0.122869 | + | 0.212815i | −0.920898 | − | 0.389804i | \(-0.872543\pi\) |
0.798029 | + | 0.602619i | \(0.205876\pi\) | |||||||
\(662\) | −9.96574 | + | 17.2612i | −0.387329 | + | 0.670874i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −15.1134 | − | 26.1771i | −0.586512 | − | 1.01587i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −9.40838 | −0.364294 | ||||||||
\(668\) | 0.995798 | + | 1.72477i | 0.0385286 | + | 0.0667334i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −4.40764 | + | 7.63426i | −0.170155 | + | 0.294717i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −3.29610 | − | 5.70901i | −0.127055 | − | 0.220066i | 0.795479 | − | 0.605981i | \(-0.207219\pi\) |
−0.922534 | + | 0.385915i | \(0.873886\pi\) | |||||||
\(674\) | 7.49857 | 0.288834 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 17.3476 | 0.667214 | ||||||||
\(677\) | −17.4473 | − | 30.2197i | −0.670556 | − | 1.16144i | −0.977747 | − | 0.209788i | \(-0.932722\pi\) |
0.307191 | − | 0.951648i | \(-0.400611\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −2.79851 | + | 4.84716i | −0.107397 | + | 0.186017i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −10.7086 | − | 18.5479i | −0.410054 | − | 0.710234i | ||||
\(683\) | 26.0958 | 0.998528 | 0.499264 | − | 0.866450i | \(-0.333604\pi\) | ||||
0.499264 | + | 0.866450i | \(0.333604\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −5.67378 | − | 9.82727i | −0.216626 | − | 0.375207i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 3.24583 | − | 5.62194i | 0.123746 | − | 0.214334i | ||||
\(689\) | −7.93028 | + | 13.7356i | −0.302119 | + | 0.523286i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 14.6529 | + | 25.3796i | 0.557423 | + | 0.965485i | 0.997711 | + | 0.0676282i | \(0.0215432\pi\) |
−0.440288 | + | 0.897857i | \(0.645124\pi\) | |||||||
\(692\) | −10.6065 | −0.403197 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −54.6648 | −2.07505 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −16.5982 | + | 28.7489i | −0.628701 | + | 1.08894i | ||||
\(698\) | −22.9387 | + | 39.7311i | −0.868244 | + | 1.50384i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −15.3891 | −0.581239 | −0.290620 | − | 0.956839i | \(-0.593861\pi\) | ||||
−0.290620 | + | 0.956839i | \(0.593861\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −37.4696 | −1.41319 | ||||||||
\(704\) | 5.94116 | + | 10.2904i | 0.223916 | + | 0.387834i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −1.50442 | + | 2.60572i | −0.0566194 | + | 0.0980677i | ||||
\(707\) | −4.38870 | + | 7.60146i | −0.165054 | + | 0.285882i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 3.86996 | + | 6.70296i | 0.145339 | + | 0.251735i | 0.929499 | − | 0.368823i | \(-0.120239\pi\) |
−0.784160 | + | 0.620558i | \(0.786906\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −7.36062 | −0.275851 | ||||||||
\(713\) | −8.08842 | − | 14.0096i | −0.302914 | − | 0.524662i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 5.71508 | − | 9.89880i | 0.213582 | − | 0.369936i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 9.89374 | + | 17.1365i | 0.369231 | + | 0.639527i | ||||
\(719\) | 15.1316 | 0.564313 | 0.282156 | − | 0.959368i | \(-0.408950\pi\) | ||||
0.282156 | + | 0.959368i | \(0.408950\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0.420832 | 0.0156726 | ||||||||
\(722\) | 9.82470 | + | 17.0169i | 0.365638 | + | 0.633303i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −4.47229 | + | 7.74623i | −0.166211 | + | 0.287886i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 0.0809381 | + | 0.140189i | 0.00300183 | + | 0.00519932i | 0.867522 | − | 0.497398i | \(-0.165711\pi\) |
−0.864521 | + | 0.502597i | \(0.832378\pi\) | |||||||
\(728\) | −6.85590 | −0.254097 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −4.04873 | − | 7.01260i | −0.149748 | − | 0.259370i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −25.0166 | + | 43.3300i | −0.924009 | + | 1.60043i | −0.130861 | + | 0.991401i | \(0.541774\pi\) |
−0.793148 | + | 0.609029i | \(0.791559\pi\) | |||||||
\(734\) | 11.9047 | − | 20.6196i | 0.439412 | − | 0.761084i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −6.96427 | − | 12.0625i | −0.256707 | − | 0.444629i | ||||
\(737\) | −7.46070 | −0.274818 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 30.5505 | 1.12382 | 0.561909 | − | 0.827199i | \(-0.310067\pi\) | ||||
0.561909 | + | 0.827199i | \(0.310067\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −1.04936 | + | 1.81754i | −0.0385231 | + | 0.0667240i | ||||
\(743\) | −2.98342 | + | 5.16743i | −0.109451 | + | 0.189575i | −0.915548 | − | 0.402209i | \(-0.868243\pi\) |
0.806097 | + | 0.591783i | \(0.201576\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −15.4329 | −0.565039 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −12.6530 | −0.462640 | ||||||||
\(749\) | −2.79670 | − | 4.84403i | −0.102189 | − | 0.176997i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −17.1988 | + | 29.7892i | −0.627593 | + | 1.08702i | 0.360441 | + | 0.932782i | \(0.382626\pi\) |
−0.988033 | + | 0.154240i | \(0.950707\pi\) | |||||||
\(752\) | 9.06674 | − | 15.7041i | 0.330630 | − | 0.572668i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 12.5342 | + | 21.7099i | 0.456470 | + | 0.790630i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −40.6873 | −1.47881 | −0.739403 | − | 0.673263i | \(-0.764892\pi\) | ||||
−0.739403 | + | 0.673263i | \(0.764892\pi\) | |||||||
\(758\) | −23.3248 | − | 40.3997i | −0.847194 | − | 1.46738i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 14.1298 | − | 24.4735i | 0.512204 | − | 0.887164i | −0.487696 | − | 0.873014i | \(-0.662162\pi\) |
0.999900 | − | 0.0141502i | \(-0.00450429\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 1.17705 | + | 2.03870i | 0.0426119 | + | 0.0738060i | ||||
\(764\) | −16.9519 | −0.613299 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −2.39407 | −0.0865013 | ||||||||
\(767\) | −8.99180 | − | 15.5743i | −0.324675 | − | 0.562354i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 23.4518 | − | 40.6197i | 0.845694 | − | 1.46478i | −0.0393235 | − | 0.999227i | \(-0.512520\pi\) |
0.885017 | − | 0.465558i | \(-0.154146\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −3.19791 | − | 5.53894i | −0.115095 | − | 0.199351i | ||||
\(773\) | 9.19641 | 0.330772 | 0.165386 | − | 0.986229i | \(-0.447113\pi\) | ||||
0.165386 | + | 0.986229i | \(0.447113\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −12.0414 | − | 20.8563i | −0.432260 | − | 0.748696i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 10.5458 | − | 18.2658i | 0.378085 | − | 0.654862i | ||||
\(779\) | 15.1562 | − | 26.2512i | 0.543025 | − | 0.940548i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −8.59074 | − | 14.8796i | −0.307401 | − | 0.532434i | ||||
\(782\) | −38.1261 | −1.36339 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 32.9844 | 1.17801 | ||||||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 2.87319 | − | 4.97651i | 0.102418 | − | 0.177393i | −0.810262 | − | 0.586067i | \(-0.800675\pi\) |
0.912680 | + | 0.408674i | \(0.134009\pi\) | |||||||
\(788\) | 0.691939 | − | 1.19847i | 0.0246493 | − | 0.0426938i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) |