Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [693,2,Mod(100,693)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(693, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 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("693.100");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 693 = 3^{2} \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 693.i (of order \(3\), degree \(2\), 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: | \(5.53363286007\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 8.0.10423593216.5 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - 2x^{7} + 8x^{6} + 21x^{4} - 4x^{3} + 28x^{2} + 12x + 9 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 231) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 100.1 | ||
Root | \(-0.758290 + 1.31340i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 693.100 |
Dual form | 693.2.i.i.298.1 |
$q$-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 \(\left(\mathbb{Z}/693\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(442\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.758290 | + | 1.31340i | −0.536192 | + | 0.928712i | 0.462913 | + | 0.886404i | \(0.346804\pi\) |
−0.999105 | + | 0.0423078i | \(0.986529\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.150007 | − | 0.259820i | −0.0750036 | − | 0.129910i | ||||
\(5\) | −1.16659 | + | 2.02059i | −0.521714 | + | 0.903634i | 0.477967 | + | 0.878378i | \(0.341374\pi\) |
−0.999681 | + | 0.0252568i | \(0.991960\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.28580 | − | 1.33233i | −0.863952 | − | 0.503574i | ||||
\(8\) | −2.57816 | −0.911519 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −1.76922 | − | 3.06438i | −0.559477 | − | 0.969043i | ||||
\(11\) | −0.500000 | − | 0.866025i | −0.150756 | − | 0.261116i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.53844 | −0.426688 | −0.213344 | − | 0.976977i | \(-0.568435\pi\) | ||||
−0.213344 | + | 0.976977i | \(0.568435\pi\) | |||||||
\(14\) | 3.48318 | − | 1.99187i | 0.930919 | − | 0.532350i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.25501 | − | 3.90579i | 0.563753 | − | 0.976448i | ||||
\(17\) | −0.0583043 | − | 0.100986i | −0.0141409 | − | 0.0244927i | 0.858868 | − | 0.512196i | \(-0.171168\pi\) |
−0.873009 | + | 0.487704i | \(0.837835\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.80566 | − | 3.12750i | 0.414247 | − | 0.717497i | −0.581102 | − | 0.813831i | \(-0.697378\pi\) |
0.995349 | + | 0.0963336i | \(0.0307116\pi\) | |||||||
\(20\) | 0.699986 | 0.156522 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.51658 | 0.323336 | ||||||||
\(23\) | 3.55502 | − | 6.15748i | 0.741274 | − | 1.28392i | −0.210642 | − | 0.977563i | \(-0.567555\pi\) |
0.951916 | − | 0.306361i | \(-0.0991113\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.221850 | − | 0.384256i | −0.0443701 | − | 0.0768512i | ||||
\(26\) | 1.16659 | − | 2.02059i | 0.228787 | − | 0.396270i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.00327987 | + | 0.793757i | −0.000619837 | + | 0.150006i | ||||
\(29\) | −5.05502 | −0.938694 | −0.469347 | − | 0.883014i | \(-0.655511\pi\) | ||||
−0.469347 | + | 0.883014i | \(0.655511\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 2.18845 | + | 3.79051i | 0.393058 | + | 0.680796i | 0.992851 | − | 0.119359i | \(-0.0380840\pi\) |
−0.599794 | + | 0.800155i | \(0.704751\pi\) | |||||||
\(32\) | 0.841739 | + | 1.45793i | 0.148800 | + | 0.257729i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.176846 | 0.0303289 | ||||||||
\(35\) | 5.35868 | − | 3.06438i | 0.905782 | − | 0.517975i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.150007 | − | 0.259820i | 0.0246610 | − | 0.0427142i | −0.853432 | − | 0.521205i | \(-0.825483\pi\) |
0.878093 | + | 0.478491i | \(0.158816\pi\) | |||||||
\(38\) | 2.73843 | + | 4.74310i | 0.444232 | + | 0.769432i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 3.00765 | − | 5.20941i | 0.475552 | − | 0.823680i | ||||
\(41\) | −8.20479 | −1.28137 | −0.640687 | − | 0.767802i | \(-0.721350\pi\) | ||||
−0.640687 | + | 0.767802i | \(0.721350\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −4.18293 | −0.637891 | −0.318945 | − | 0.947773i | \(-0.603329\pi\) | ||||
−0.318945 | + | 0.947773i | \(0.603329\pi\) | |||||||
\(44\) | −0.150007 | + | 0.259820i | −0.0226144 | + | 0.0391693i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 5.39148 | + | 9.33831i | 0.794930 | + | 1.37686i | ||||
\(47\) | 1.15001 | − | 1.99187i | 0.167746 | − | 0.290544i | −0.769881 | − | 0.638187i | \(-0.779685\pi\) |
0.937627 | + | 0.347643i | \(0.113018\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 3.44978 | + | 6.09089i | 0.492826 | + | 0.870128i | ||||
\(50\) | 0.672908 | 0.0951635 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.230778 | + | 0.399719i | 0.0320031 | + | 0.0554310i | ||||
\(53\) | −5.94346 | − | 10.2944i | −0.816397 | − | 1.41404i | −0.908320 | − | 0.418275i | \(-0.862635\pi\) |
0.0919230 | − | 0.995766i | \(-0.470699\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.33317 | 0.314605 | ||||||||
\(56\) | 5.89317 | + | 3.43497i | 0.787508 | + | 0.459017i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 3.83317 | − | 6.63925i | 0.503320 | − | 0.871777i | ||||
\(59\) | 2.47814 | + | 4.29226i | 0.322626 | + | 0.558804i | 0.981029 | − | 0.193861i | \(-0.0621012\pi\) |
−0.658403 | + | 0.752665i | \(0.728768\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.28580 | − | 3.95913i | 0.292667 | − | 0.506914i | −0.681773 | − | 0.731564i | \(-0.738791\pi\) |
0.974439 | + | 0.224650i | \(0.0721239\pi\) | |||||||
\(62\) | −6.63792 | −0.843017 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 6.46691 | 0.808364 | ||||||||
\(65\) | 1.79473 | − | 3.10856i | 0.222609 | − | 0.385570i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −6.14472 | − | 10.6430i | −0.750697 | − | 1.30025i | −0.947485 | − | 0.319800i | \(-0.896384\pi\) |
0.196788 | − | 0.980446i | \(-0.436949\pi\) | |||||||
\(68\) | −0.0174921 | + | 0.0302972i | −0.00212123 | + | 0.00367408i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.0386836 | + | 9.36176i | −0.00462357 | + | 1.11894i | ||||
\(71\) | −4.25628 | −0.505128 | −0.252564 | − | 0.967580i | \(-0.581274\pi\) | ||||
−0.252564 | + | 0.967580i | \(0.581274\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −5.21900 | − | 9.03958i | −0.610838 | − | 1.05800i | −0.991099 | − | 0.133124i | \(-0.957499\pi\) |
0.380261 | − | 0.924879i | \(-0.375834\pi\) | |||||||
\(74\) | 0.227498 | + | 0.394038i | 0.0264461 | + | 0.0458060i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −1.08345 | −0.124280 | ||||||||
\(77\) | −0.0109324 | + | 2.64573i | −0.00124586 | + | 0.301509i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −7.15742 | + | 12.3970i | −0.805273 | + | 1.39477i | 0.110834 | + | 0.993839i | \(0.464648\pi\) |
−0.916107 | + | 0.400934i | \(0.868686\pi\) | |||||||
\(80\) | 5.26133 | + | 9.11289i | 0.588235 | + | 1.01885i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 6.22161 | − | 10.7761i | 0.687062 | − | 1.19003i | ||||
\(83\) | 11.1869 | 1.22793 | 0.613963 | − | 0.789335i | \(-0.289574\pi\) | ||||
0.613963 | + | 0.789335i | \(0.289574\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.272068 | 0.0295099 | ||||||||
\(86\) | 3.17187 | − | 5.49384i | 0.342032 | − | 0.592416i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 1.28908 | + | 2.23276i | 0.137417 | + | 0.238013i | ||||
\(89\) | 6.96636 | − | 12.0661i | 0.738433 | − | 1.27900i | −0.214768 | − | 0.976665i | \(-0.568899\pi\) |
0.953201 | − | 0.302338i | \(-0.0977672\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 3.51658 | + | 2.04972i | 0.368638 | + | 0.214869i | ||||
\(92\) | −2.13312 | −0.222393 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 1.74408 | + | 3.02083i | 0.179888 | + | 0.311575i | ||||
\(95\) | 4.21292 | + | 7.29700i | 0.432237 | + | 0.748656i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −16.4101 | −1.66619 | −0.833095 | − | 0.553130i | \(-0.813433\pi\) | ||||
−0.833095 | + | 0.553130i | \(0.813433\pi\) | |||||||
\(98\) | −10.6157 | − | 0.0877314i | −1.07235 | − | 0.00886221i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.0665583 | + | 0.115282i | −0.00665583 | + | 0.0115282i | ||||
\(101\) | 4.82753 | + | 8.36152i | 0.480357 | + | 0.832002i | 0.999746 | − | 0.0225353i | \(-0.00717383\pi\) |
−0.519389 | + | 0.854538i | \(0.673840\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −4.41006 | + | 7.63845i | −0.434536 | + | 0.752639i | −0.997258 | − | 0.0740075i | \(-0.976421\pi\) |
0.562721 | + | 0.826647i | \(0.309754\pi\) | |||||||
\(104\) | 3.96636 | 0.388934 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 18.0275 | 1.75098 | ||||||||
\(107\) | 5.24207 | − | 9.07954i | 0.506770 | − | 0.877752i | −0.493199 | − | 0.869917i | \(-0.664173\pi\) |
0.999969 | − | 0.00783538i | \(-0.00249410\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −5.26394 | − | 9.11741i | −0.504194 | − | 0.873289i | −0.999988 | − | 0.00484932i | \(-0.998456\pi\) |
0.495794 | − | 0.868440i | \(-0.334877\pi\) | |||||||
\(110\) | −1.76922 | + | 3.06438i | −0.168689 | + | 0.292177i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −10.3583 | + | 5.92345i | −0.978769 | + | 0.559713i | ||||
\(113\) | −11.4327 | −1.07549 | −0.537747 | − | 0.843106i | \(-0.680724\pi\) | ||||
−0.537747 | + | 0.843106i | \(0.680724\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 8.29449 | + | 14.3665i | 0.773465 | + | 1.33968i | ||||
\(116\) | 0.758290 | + | 1.31340i | 0.0704055 | + | 0.121946i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −7.51658 | −0.691957 | ||||||||
\(119\) | −0.00127481 | + | 0.308514i | −0.000116861 | + | 0.0282815i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −0.500000 | + | 0.866025i | −0.0454545 | + | 0.0787296i | ||||
\(122\) | 3.46660 | + | 6.00433i | 0.313851 | + | 0.543606i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0.656567 | − | 1.13721i | 0.0589614 | − | 0.102124i | ||||
\(125\) | −10.6306 | −0.950833 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 0.234898 | 0.0208438 | 0.0104219 | − | 0.999946i | \(-0.496683\pi\) | ||||
0.0104219 | + | 0.999946i | \(0.496683\pi\) | |||||||
\(128\) | −6.58727 | + | 11.4095i | −0.582238 | + | 1.00847i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 2.72185 | + | 4.71438i | 0.238722 | + | 0.413479i | ||||
\(131\) | −2.87927 | + | 4.98704i | −0.251563 | + | 0.435720i | −0.963956 | − | 0.266060i | \(-0.914278\pi\) |
0.712393 | + | 0.701780i | \(0.247611\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −8.29425 | + | 4.74310i | −0.719203 | + | 0.411279i | ||||
\(134\) | 18.6379 | 1.61007 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0.150318 | + | 0.260358i | 0.0128897 | + | 0.0223255i | ||||
\(137\) | 8.04325 | + | 13.9313i | 0.687181 | + | 1.19023i | 0.972746 | + | 0.231874i | \(0.0744856\pi\) |
−0.285565 | + | 0.958359i | \(0.592181\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −14.2930 | −1.21231 | −0.606157 | − | 0.795345i | \(-0.707290\pi\) | ||||
−0.606157 | + | 0.795345i | \(0.707290\pi\) | |||||||
\(140\) | −1.60003 | − | 0.932613i | −0.135227 | − | 0.0788202i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 3.22750 | − | 5.59019i | 0.270846 | − | 0.469118i | ||||
\(143\) | 0.769222 | + | 1.33233i | 0.0643256 | + | 0.111415i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 5.89713 | − | 10.2141i | 0.489730 | − | 0.848237i | ||||
\(146\) | 15.8301 | 1.31011 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −0.0900086 | −0.00739866 | ||||||||
\(149\) | −0.336454 | + | 0.582755i | −0.0275634 | + | 0.0477412i | −0.879478 | − | 0.475939i | \(-0.842108\pi\) |
0.851915 | + | 0.523681i | \(0.175441\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −11.8862 | − | 20.5875i | −0.967285 | − | 1.67539i | −0.703347 | − | 0.710846i | \(-0.748312\pi\) |
−0.263937 | − | 0.964540i | \(-0.585021\pi\) | |||||||
\(152\) | −4.65529 | + | 8.06320i | −0.377594 | + | 0.654012i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −3.46660 | − | 2.02059i | −0.279347 | − | 0.162824i | ||||
\(155\) | −10.2121 | −0.820254 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 7.62790 | + | 13.2119i | 0.608773 | + | 1.05443i | 0.991443 | + | 0.130541i | \(0.0416713\pi\) |
−0.382670 | + | 0.923885i | \(0.624995\pi\) | |||||||
\(158\) | −10.8548 | − | 18.8011i | −0.863561 | − | 1.49573i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −3.92785 | −0.310523 | ||||||||
\(161\) | −16.3299 | + | 9.33831i | −1.28698 | + | 0.735962i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −0.210316 | + | 0.364279i | −0.0164733 | + | 0.0285325i | −0.874145 | − | 0.485666i | \(-0.838577\pi\) |
0.857671 | + | 0.514198i | \(0.171911\pi\) | |||||||
\(164\) | 1.23078 | + | 2.13177i | 0.0961076 | + | 0.166463i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −8.48294 | + | 14.6929i | −0.658404 | + | 1.14039i | ||||
\(167\) | −16.4331 | −1.27163 | −0.635817 | − | 0.771840i | \(-0.719337\pi\) | ||||
−0.635817 | + | 0.771840i | \(0.719337\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −10.6332 | −0.817938 | ||||||||
\(170\) | −0.206306 | + | 0.357333i | −0.0158230 | + | 0.0274062i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0.627469 | + | 1.08681i | 0.0478441 | + | 0.0828684i | ||||
\(173\) | 1.93076 | − | 3.34418i | 0.146793 | − | 0.254253i | −0.783247 | − | 0.621710i | \(-0.786438\pi\) |
0.930041 | + | 0.367457i | \(0.119771\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.00485070 | + | 1.17391i | −0.000366679 | + | 0.0887394i | ||||
\(176\) | −4.51002 | −0.339956 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 10.5650 | + | 18.2992i | 0.791884 | + | 1.37158i | ||||
\(179\) | −6.35480 | − | 11.0068i | −0.474980 | − | 0.822690i | 0.524609 | − | 0.851343i | \(-0.324211\pi\) |
−0.999589 | + | 0.0286535i | \(0.990878\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 16.5196 | 1.22789 | 0.613947 | − | 0.789347i | \(-0.289581\pi\) | ||||
0.613947 | + | 0.789347i | \(0.289581\pi\) | |||||||
\(182\) | −5.35868 | + | 3.06438i | −0.397212 | + | 0.227147i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −9.16544 | + | 15.8750i | −0.675685 | + | 1.17032i | ||||
\(185\) | 0.349993 | + | 0.606205i | 0.0257320 | + | 0.0445691i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.0583043 | + | 0.100986i | −0.00426363 | + | 0.00738482i | ||||
\(188\) | −0.690037 | −0.0503261 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −12.7785 | −0.927048 | ||||||||
\(191\) | −8.20479 | + | 14.2111i | −0.593678 | + | 1.02828i | 0.400054 | + | 0.916492i | \(0.368991\pi\) |
−0.993732 | + | 0.111789i | \(0.964342\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −10.3266 | − | 17.8862i | −0.743326 | − | 1.28748i | −0.950973 | − | 0.309274i | \(-0.899914\pi\) |
0.207647 | − | 0.978204i | \(-0.433420\pi\) | |||||||
\(194\) | 12.4436 | − | 21.5529i | 0.893397 | − | 1.54741i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 1.06504 | − | 1.81000i | 0.0760746 | − | 0.129286i | ||||
\(197\) | −26.3132 | −1.87474 | −0.937368 | − | 0.348342i | \(-0.886745\pi\) | ||||
−0.937368 | + | 0.348342i | \(0.886745\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 5.50528 | + | 9.53543i | 0.390259 | + | 0.675949i | 0.992484 | − | 0.122378i | \(-0.0390520\pi\) |
−0.602224 | + | 0.798327i | \(0.705719\pi\) | |||||||
\(200\) | 0.571967 | + | 0.990675i | 0.0404442 | + | 0.0700513i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −14.6427 | −1.03025 | ||||||||
\(203\) | 11.5548 | + | 6.73497i | 0.810987 | + | 0.472702i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 9.57160 | − | 16.5785i | 0.668510 | − | 1.15789i | ||||
\(206\) | −6.68821 | − | 11.5843i | −0.465990 | − | 0.807118i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −3.46921 | + | 6.00884i | −0.240546 | + | 0.416638i | ||||
\(209\) | −3.61132 | −0.249800 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 22.2476 | 1.53159 | 0.765793 | − | 0.643087i | \(-0.222347\pi\) | ||||
0.765793 | + | 0.643087i | \(0.222347\pi\) | |||||||
\(212\) | −1.78312 | + | 3.08846i | −0.122465 | + | 0.212116i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 7.95002 | + | 13.7698i | 0.543452 | + | 0.941287i | ||||
\(215\) | 4.87975 | − | 8.45197i | 0.332796 | − | 0.576420i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0.0478499 | − | 11.5801i | 0.00324827 | − | 0.786108i | ||||
\(218\) | 15.9664 | 1.08138 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.349993 | − | 0.606205i | −0.0235965 | − | 0.0408704i | ||||
\(221\) | 0.0896979 | + | 0.155361i | 0.00603373 | + | 0.0104507i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −16.8020 | −1.12515 | −0.562573 | − | 0.826748i | \(-0.690188\pi\) | ||||
−0.562573 | + | 0.826748i | \(0.690188\pi\) | |||||||
\(224\) | 0.0184044 | − | 4.45402i | 0.00122970 | − | 0.297597i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 8.66927 | − | 15.0156i | 0.576671 | − | 0.998823i | ||||
\(227\) | 2.71008 | + | 4.69399i | 0.179874 | + | 0.311551i | 0.941837 | − | 0.336069i | \(-0.109098\pi\) |
−0.761963 | + | 0.647620i | \(0.775764\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −14.1161 | + | 24.4499i | −0.932820 | + | 1.61569i | −0.154345 | + | 0.988017i | \(0.549327\pi\) |
−0.778476 | + | 0.627675i | \(0.784007\pi\) | |||||||
\(230\) | −25.1585 | −1.65890 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 13.0327 | 0.855637 | ||||||||
\(233\) | 2.80566 | − | 4.85955i | 0.183805 | − | 0.318360i | −0.759368 | − | 0.650661i | \(-0.774492\pi\) |
0.943173 | + | 0.332302i | \(0.107825\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 2.68317 | + | 4.64738i | 0.175031 | + | 0.303162i | ||||
\(236\) | 0.743476 | − | 1.28774i | 0.0483962 | − | 0.0838246i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −0.404235 | − | 0.235618i | −0.0262027 | − | 0.0152728i | ||||
\(239\) | −12.0153 | −0.777205 | −0.388603 | − | 0.921405i | \(-0.627042\pi\) | ||||
−0.388603 | + | 0.921405i | \(0.627042\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 10.3663 | + | 17.9550i | 0.667754 | + | 1.15658i | 0.978531 | + | 0.206101i | \(0.0660776\pi\) |
−0.310776 | + | 0.950483i | \(0.600589\pi\) | |||||||
\(242\) | −0.758290 | − | 1.31340i | −0.0487447 | − | 0.0844283i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −1.37155 | −0.0878043 | ||||||||
\(245\) | −16.3317 | − | 0.134970i | −1.04339 | − | 0.00862291i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −2.77791 | + | 4.81148i | −0.176754 | + | 0.306147i | ||||
\(248\) | −5.64219 | − | 9.77256i | −0.358279 | − | 0.620558i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 8.06111 | − | 13.9622i | 0.509829 | − | 0.883050i | ||||
\(251\) | 27.2885 | 1.72243 | 0.861217 | − | 0.508237i | \(-0.169703\pi\) | ||||
0.861217 | + | 0.508237i | \(0.169703\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −7.11005 | −0.447005 | ||||||||
\(254\) | −0.178121 | + | 0.308514i | −0.0111763 | + | 0.0193579i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −3.52321 | − | 6.10238i | −0.220201 | − | 0.381399i | ||||
\(257\) | 4.45099 | − | 7.70933i | 0.277645 | − | 0.480895i | −0.693154 | − | 0.720789i | \(-0.743779\pi\) |
0.970799 | + | 0.239894i | \(0.0771128\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.689053 | + | 0.394038i | −0.0428157 | + | 0.0244843i | ||||
\(260\) | −1.07689 | −0.0667858 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −4.36664 | − | 7.56325i | −0.269772 | − | 0.467259i | ||||
\(263\) | −1.12790 | − | 1.95359i | −0.0695495 | − | 0.120463i | 0.829154 | − | 0.559021i | \(-0.188823\pi\) |
−0.898703 | + | 0.438558i | \(0.855490\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 27.7343 | 1.70370 | ||||||||
\(266\) | 0.0598751 | − | 14.4903i | 0.00367118 | − | 0.888456i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −1.84350 | + | 3.19304i | −0.112610 | + | 0.195046i | ||||
\(269\) | 4.18444 | + | 7.24767i | 0.255130 | + | 0.441898i | 0.964931 | − | 0.262504i | \(-0.0845484\pi\) |
−0.709801 | + | 0.704402i | \(0.751215\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −4.44734 | + | 7.70302i | −0.270157 | + | 0.467925i | −0.968902 | − | 0.247445i | \(-0.920409\pi\) |
0.698745 | + | 0.715371i | \(0.253742\pi\) | |||||||
\(272\) | −0.525907 | −0.0318878 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −24.3965 | −1.47384 | ||||||||
\(275\) | −0.221850 | + | 0.384256i | −0.0133781 | + | 0.0231715i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 2.69999 | + | 4.67651i | 0.162226 | + | 0.280984i | 0.935667 | − | 0.352885i | \(-0.114799\pi\) |
−0.773440 | + | 0.633869i | \(0.781466\pi\) | |||||||
\(278\) | 10.8382 | − | 18.7723i | 0.650033 | − | 1.12589i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −13.8156 | + | 7.90048i | −0.825638 | + | 0.472144i | ||||
\(281\) | 19.7416 | 1.17768 | 0.588841 | − | 0.808249i | \(-0.299584\pi\) | ||||
0.588841 | + | 0.808249i | \(0.299584\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 5.05259 | + | 8.75133i | 0.300345 | + | 0.520213i | 0.976214 | − | 0.216809i | \(-0.0695649\pi\) |
−0.675869 | + | 0.737022i | \(0.736232\pi\) | |||||||
\(284\) | 0.638473 | + | 1.10587i | 0.0378864 | + | 0.0656212i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −2.33317 | −0.137963 | ||||||||
\(287\) | 18.7545 | + | 10.9315i | 1.10705 | + | 0.645267i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 8.49320 | − | 14.7107i | 0.499600 | − | 0.865333i | ||||
\(290\) | 8.94346 | + | 15.4905i | 0.525178 | + | 0.909635i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −1.56578 | + | 2.71200i | −0.0916301 | + | 0.158708i | ||||
\(293\) | 16.1108 | 0.941201 | 0.470601 | − | 0.882346i | \(-0.344037\pi\) | ||||
0.470601 | + | 0.882346i | \(0.344037\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −11.5638 | −0.673273 | ||||||||
\(296\) | −0.386743 | + | 0.669859i | −0.0224790 | + | 0.0389347i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −0.510259 | − | 0.883795i | −0.0295585 | − | 0.0511969i | ||||
\(299\) | −5.46921 | + | 9.47295i | −0.316292 | + | 0.547835i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 9.56135 | + | 5.57305i | 0.551107 | + | 0.321225i | ||||
\(302\) | 36.0527 | 2.07460 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −8.14357 | − | 14.1051i | −0.467066 | − | 0.808982i | ||||
\(305\) | 5.33317 | + | 9.23733i | 0.305377 | + | 0.528928i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 27.8168 | 1.58759 | 0.793795 | − | 0.608185i | \(-0.208102\pi\) | ||||
0.793795 | + | 0.608185i | \(0.208102\pi\) | |||||||
\(308\) | 0.689053 | − | 0.394038i | 0.0392625 | − | 0.0224524i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 7.74372 | − | 13.4125i | 0.439813 | − | 0.761779i | ||||
\(311\) | 4.52139 | + | 7.83127i | 0.256384 | + | 0.444071i | 0.965271 | − | 0.261252i | \(-0.0841354\pi\) |
−0.708886 | + | 0.705323i | \(0.750802\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 8.08842 | − | 14.0096i | 0.457185 | − | 0.791867i | −0.541626 | − | 0.840619i | \(-0.682191\pi\) |
0.998811 | + | 0.0487523i | \(0.0155245\pi\) | |||||||
\(314\) | −23.1366 | −1.30568 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 4.29466 | 0.241593 | ||||||||
\(317\) | −2.61685 | + | 4.53251i | −0.146977 | + | 0.254571i | −0.930109 | − | 0.367284i | \(-0.880288\pi\) |
0.783132 | + | 0.621856i | \(0.213621\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 2.52751 | + | 4.37778i | 0.141514 | + | 0.245109i | ||||
\(320\) | −7.54422 | + | 13.0670i | −0.421734 | + | 0.730466i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0.117883 | − | 28.5288i | 0.00656938 | − | 1.58985i | ||||
\(323\) | −0.421111 | −0.0234312 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.341305 | + | 0.591157i | 0.0189322 | + | 0.0327915i | ||||
\(326\) | −0.318962 | − | 0.552458i | −0.0176657 | − | 0.0305978i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 21.1533 | 1.16800 | ||||||||
\(329\) | −5.28252 | + | 3.02083i | −0.291235 | + | 0.166544i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 9.76510 | − | 16.9137i | 0.536739 | − | 0.929658i | −0.462338 | − | 0.886704i | \(-0.652989\pi\) |
0.999077 | − | 0.0429549i | \(-0.0136772\pi\) | |||||||
\(332\) | −1.67812 | − | 2.90659i | −0.0920988 | − | 0.159520i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 12.4611 | − | 21.5832i | 0.681840 | − | 1.18098i | ||||
\(335\) | 28.6734 | 1.56660 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −0.243643 | −0.0132721 | −0.00663605 | − | 0.999978i | \(-0.502112\pi\) | ||||
−0.00663605 | + | 0.999978i | \(0.502112\pi\) | |||||||
\(338\) | 8.06304 | − | 13.9656i | 0.438572 | − | 0.759628i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −0.0408121 | − | 0.0706887i | −0.00221335 | − | 0.00383363i | ||||
\(341\) | 2.18845 | − | 3.79051i | 0.118511 | − | 0.205268i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0.229575 | − | 18.5188i | 0.0123959 | − | 0.999923i | ||||
\(344\) | 10.7843 | 0.581449 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 2.92816 | + | 5.07172i | 0.157419 | + | 0.272657i | ||||
\(347\) | 11.0805 | + | 19.1920i | 0.594834 | + | 1.03028i | 0.993570 | + | 0.113217i | \(0.0361156\pi\) |
−0.398736 | + | 0.917066i | \(0.630551\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −16.1822 | −0.866213 | −0.433107 | − | 0.901343i | \(-0.642583\pi\) | ||||
−0.433107 | + | 0.901343i | \(0.642583\pi\) | |||||||
\(350\) | −1.53813 | − | 0.896537i | −0.0822167 | − | 0.0479219i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0.841739 | − | 1.45793i | 0.0448648 | − | 0.0777082i | ||||
\(353\) | −3.88844 | − | 6.73497i | −0.206961 | − | 0.358466i | 0.743795 | − | 0.668408i | \(-0.233024\pi\) |
−0.950756 | + | 0.309941i | \(0.899691\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 4.96533 | − | 8.60020i | 0.263532 | − | 0.456451i | ||||
\(356\) | −4.18002 | −0.221540 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 19.2751 | 1.01872 | ||||||||
\(359\) | 5.40642 | − | 9.36420i | 0.285340 | − | 0.494223i | −0.687352 | − | 0.726325i | \(-0.741227\pi\) |
0.972692 | + | 0.232102i | \(0.0745602\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 2.97917 | + | 5.16008i | 0.156798 | + | 0.271583i | ||||
\(362\) | −12.5267 | + | 21.6968i | −0.658387 | + | 1.14036i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0.00504590 | − | 1.22115i | 0.000264477 | − | 0.0640057i | ||||
\(365\) | 24.3537 | 1.27473 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 0.878346 | + | 1.52134i | 0.0458493 | + | 0.0794133i | 0.888039 | − | 0.459768i | \(-0.152067\pi\) |
−0.842190 | + | 0.539181i | \(0.818734\pi\) | |||||||
\(368\) | −16.0332 | − | 27.7704i | −0.835790 | − | 1.44763i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −1.06158 | −0.0551891 | ||||||||
\(371\) | −0.129952 | + | 31.4496i | −0.00674679 | + | 1.63278i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 4.63683 | − | 8.03123i | 0.240086 | − | 0.415841i | −0.720653 | − | 0.693296i | \(-0.756158\pi\) |
0.960739 | + | 0.277455i | \(0.0894910\pi\) | |||||||
\(374\) | −0.0884231 | − | 0.153153i | −0.00457225 | − | 0.00791936i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −2.96491 | + | 5.13537i | −0.152903 | + | 0.264836i | ||||
\(377\) | 7.77687 | 0.400529 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −11.5130 | −0.591386 | −0.295693 | − | 0.955283i | \(-0.595550\pi\) | ||||
−0.295693 | + | 0.955283i | \(0.595550\pi\) | |||||||
\(380\) | 1.26394 | − | 2.18920i | 0.0648386 | − | 0.112304i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −12.4432 | − | 21.5523i | −0.636651 | − | 1.10271i | ||||
\(383\) | −11.2392 | + | 19.4669i | −0.574298 | + | 0.994713i | 0.421820 | + | 0.906680i | \(0.361391\pi\) |
−0.996118 | + | 0.0880331i | \(0.971942\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −5.33317 | − | 3.10856i | −0.271804 | − | 0.158427i | ||||
\(386\) | 31.3223 | 1.59426 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 2.46163 | + | 4.26366i | 0.124970 | + | 0.216455i | ||||
\(389\) | −17.1663 | − | 29.7329i | −0.870365 | − | 1.50752i | −0.861620 | − | 0.507554i | \(-0.830550\pi\) |
−0.00874493 | − | 0.999962i | \(-0.502784\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −0.829092 | −0.0419290 | ||||||||
\(392\) | −8.89410 | − | 15.7033i | −0.449220 | − | 0.793138i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 19.9530 | − | 34.5596i | 1.00522 | − | 1.74109i | ||||
\(395\) | −16.6995 | − | 28.9244i | −0.840243 | − | 1.45534i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 4.89980 | − | 8.48671i | 0.245914 | − | 0.425936i | −0.716474 | − | 0.697614i | \(-0.754245\pi\) |
0.962388 | + | 0.271678i | \(0.0875785\pi\) | |||||||
\(398\) | −16.6984 | −0.837016 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −2.00110 | −0.100055 | ||||||||
\(401\) | 1.73819 | − | 3.01064i | 0.0868011 | − | 0.150344i | −0.819356 | − | 0.573285i | \(-0.805669\pi\) |
0.906157 | + | 0.422941i | \(0.139002\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −3.36681 | − | 5.83149i | −0.167713 | − | 0.290487i | ||||
\(404\) | 1.44833 | − | 2.50858i | 0.0720570 | − | 0.124806i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −17.6076 | + | 10.0690i | −0.873849 | + | 0.499714i | ||||
\(407\) | −0.300014 | −0.0148712 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −17.5609 | − | 30.4164i | −0.868332 | − | 1.50399i | −0.863700 | − | 0.504006i | \(-0.831859\pi\) |
−0.00463138 | − | 0.999989i | \(-0.501474\pi\) | |||||||
\(410\) | 14.5161 | + | 25.1426i | 0.716899 | + | 1.24171i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 2.64616 | 0.130367 | ||||||||
\(413\) | 0.0541838 | − | 13.1129i | 0.00266621 | − | 0.645246i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −13.0505 | + | 22.6042i | −0.640626 | + | 1.10960i | ||||
\(416\) | −1.29497 | − | 2.24295i | −0.0634911 | − | 0.109970i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 2.73843 | − | 4.74310i | 0.133941 | − | 0.231993i | ||||
\(419\) | −13.8100 | −0.674664 | −0.337332 | − | 0.941386i | \(-0.609525\pi\) | ||||
−0.337332 | + | 0.941386i | \(0.609525\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 9.72050 | 0.473748 | 0.236874 | − | 0.971540i | \(-0.423877\pi\) | ||||
0.236874 | + | 0.971540i | \(0.423877\pi\) | |||||||
\(422\) | −16.8701 | + | 29.2199i | −0.821224 | + | 1.42240i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 15.3232 | + | 26.5406i | 0.744161 | + | 1.28893i | ||||
\(425\) | −0.0258696 | + | 0.0448075i | −0.00125486 | + | 0.00217348i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −10.4998 | + | 6.00433i | −0.508119 | + | 0.290570i | ||||
\(428\) | −3.14539 | −0.152038 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 7.40053 | + | 12.8181i | 0.356885 | + | 0.618143i | ||||
\(431\) | −5.09584 | − | 8.82625i | −0.245458 | − | 0.425145i | 0.716802 | − | 0.697276i | \(-0.245605\pi\) |
−0.962260 | + | 0.272131i | \(0.912272\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −21.0101 | −1.00968 | −0.504840 | − | 0.863213i | \(-0.668449\pi\) | ||||
−0.504840 | + | 0.863213i | \(0.668449\pi\) | |||||||
\(434\) | 15.1730 | + | 8.84392i | 0.728326 | + | 0.424522i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −1.57926 | + | 2.73535i | −0.0756327 | + | 0.131000i | ||||
\(437\) | −12.8383 | − | 22.2367i | −0.614141 | − | 1.06372i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −4.92336 | + | 8.52751i | −0.234979 | + | 0.406996i | −0.959267 | − | 0.282502i | \(-0.908836\pi\) |
0.724287 | + | 0.689498i | \(0.242169\pi\) | |||||||
\(440\) | −6.01531 | −0.286768 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −0.272068 | −0.0129410 | ||||||||
\(443\) | 7.77560 | − | 13.4677i | 0.369430 | − | 0.639871i | −0.620047 | − | 0.784565i | \(-0.712886\pi\) |
0.989477 | + | 0.144694i | \(0.0462197\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 16.2537 | + | 28.1523i | 0.770501 | + | 1.33455i | ||||
\(446\) | 12.7408 | − | 22.0677i | 0.603294 | − | 1.04494i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −14.7821 | − | 8.61607i | −0.698388 | − | 0.407071i | ||||
\(449\) | −2.62021 | −0.123655 | −0.0618277 | − | 0.998087i | \(-0.519693\pi\) | ||||
−0.0618277 | + | 0.998087i | \(0.519693\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 4.10240 | + | 7.10556i | 0.193174 | + | 0.334588i | ||||
\(452\) | 1.71498 | + | 2.97043i | 0.0806659 | + | 0.139717i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −8.22010 | −0.385788 | ||||||||
\(455\) | −8.24403 | + | 4.71438i | −0.386486 | + | 0.221014i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −3.81295 | + | 6.60423i | −0.178362 | + | 0.308933i | −0.941320 | − | 0.337516i | \(-0.890413\pi\) |
0.762957 | + | 0.646449i | \(0.223747\pi\) | |||||||
\(458\) | −21.4082 | − | 37.0802i | −1.00034 | − | 1.73264i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 2.48847 | − | 4.31015i | 0.116025 | − | 0.200962i | ||||
\(461\) | 12.7392 | 0.593325 | 0.296662 | − | 0.954982i | \(-0.404126\pi\) | ||||
0.296662 | + | 0.954982i | \(0.404126\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −8.76838 | −0.407501 | −0.203751 | − | 0.979023i | \(-0.565313\pi\) | ||||
−0.203751 | + | 0.979023i | \(0.565313\pi\) | |||||||
\(464\) | −11.3991 | + | 19.7439i | −0.529191 | + | 0.916586i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 4.25501 | + | 7.36989i | 0.197110 | + | 0.341404i | ||||
\(467\) | −9.68413 | + | 16.7734i | −0.448128 | + | 0.776181i | −0.998264 | − | 0.0588943i | \(-0.981243\pi\) |
0.550136 | + | 0.835075i | \(0.314576\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −0.134353 | + | 32.5145i | −0.00620384 | + | 1.50138i | ||||
\(470\) | −8.13847 | −0.375400 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −6.38904 | − | 11.0661i | −0.294079 | − | 0.509360i | ||||
\(473\) | 2.09146 | + | 3.62252i | 0.0961656 | + | 0.166564i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −1.60235 | −0.0735207 | ||||||||
\(476\) | 0.0803495 | − | 0.0459482i | 0.00368281 | − | 0.00210603i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 9.11108 | − | 15.7809i | 0.416731 | − | 0.721800i | ||||
\(479\) | 12.0995 | + | 20.9569i | 0.552839 | + | 0.957546i | 0.998068 | + | 0.0621289i | \(0.0197890\pi\) |
−0.445229 | + | 0.895417i | \(0.646878\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −0.230778 | + | 0.399719i | −0.0105226 | + | 0.0182256i | ||||
\(482\) | −31.4427 | −1.43218 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0.300014 | 0.0136370 | ||||||||
\(485\) | 19.1438 | − | 33.1580i | 0.869274 | − | 1.50563i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 10.6093 | + | 18.3759i | 0.480755 | + | 0.832692i | 0.999756 | − | 0.0220818i | \(-0.00702942\pi\) |
−0.519001 | + | 0.854773i | \(0.673696\pi\) | |||||||
\(488\) | −5.89317 | + | 10.2073i | −0.266771 | + | 0.462062i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 12.5614 | − | 21.3476i | 0.567466 | − | 0.964386i | ||||
\(491\) | 28.2038 | 1.27282 | 0.636411 | − | 0.771350i | \(-0.280418\pi\) | ||||
0.636411 | + | 0.771350i | \(0.280418\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0.294729 | + | 0.510486i | 0.0132739 | + | 0.0229911i | ||||
\(494\) | −4.21292 | − | 7.29700i | −0.189548 | − | 0.328307i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 19.7399 | 0.886349 | ||||||||
\(497\) | 9.72902 | + | 5.67078i | 0.436406 | + | 0.254369i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 17.7490 | − | 30.7422i | 0.794555 | − | 1.37621i | −0.128567 | − | 0.991701i | \(-0.541038\pi\) |
0.923122 | − | 0.384508i | \(-0.125629\pi\) | |||||||
\(500\) | 1.59467 | + | 2.76205i | 0.0713159 | + | 0.123523i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −20.6926 | + | 35.8406i | −0.923555 | + | 1.59964i | ||||
\(503\) | −16.0477 | −0.715529 | −0.357765 | − | 0.933812i | \(-0.616461\pi\) | ||||
−0.357765 | + | 0.933812i | \(0.616461\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −22.5269 | −1.00243 | ||||||||
\(506\) | 5.39148 | − | 9.33831i | 0.239680 | − | 0.415139i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −0.0352364 | − | 0.0610313i | −0.00156336 | − | 0.00270782i | ||||
\(509\) | 4.10652 | − | 7.11270i | 0.182018 | − | 0.315265i | −0.760550 | − | 0.649280i | \(-0.775070\pi\) |
0.942568 | + | 0.334015i | \(0.108404\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −0.114112 | + | 27.6161i | −0.00504803 | + | 1.22167i | ||||
\(512\) | −15.6626 | −0.692197 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 6.75027 | + | 11.6918i | 0.297742 | + | 0.515704i | ||||
\(515\) | −10.2894 | − | 17.8218i | −0.453407 | − | 0.785324i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −2.30001 | −0.101155 | ||||||||
\(518\) | 0.00497418 | − | 1.20380i | 0.000218553 | − | 0.0528917i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −4.62711 | + | 8.01438i | −0.202912 | + | 0.351454i | ||||
\(521\) | −4.27767 | − | 7.40914i | −0.187408 | − | 0.324601i | 0.756977 | − | 0.653441i | \(-0.226675\pi\) |
−0.944385 | + | 0.328841i | \(0.893342\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −15.0185 | + | 26.0128i | −0.656712 | + | 1.13746i | 0.324750 | + | 0.945800i | \(0.394720\pi\) |
−0.981462 | + | 0.191658i | \(0.938613\pi\) | |||||||
\(524\) | 1.72765 | 0.0754725 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 3.42111 | 0.149168 | ||||||||
\(527\) | 0.255192 | − | 0.442006i | 0.0111163 | − | 0.0192541i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −13.7764 | − | 23.8614i | −0.598974 | − | 1.03745i | ||||
\(530\) | −21.0306 | + | 36.4261i | −0.913511 | + | 1.58225i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 2.47655 | + | 1.44351i | 0.107372 | + | 0.0625843i | ||||
\(533\) | 12.6226 | 0.546746 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 12.2307 | + | 21.1841i | 0.528778 | + | 0.915870i | ||||
\(536\) | 15.8421 | + | 27.4393i | 0.684275 | + | 1.18520i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −12.6921 | −0.547194 | ||||||||
\(539\) | 3.54998 | − | 6.03305i | 0.152908 | − | 0.259862i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −9.50845 | + | 16.4691i | −0.408800 | + | 0.708063i | −0.994756 | − | 0.102281i | \(-0.967386\pi\) |
0.585955 | + | 0.810343i | \(0.300719\pi\) | |||||||
\(542\) | −6.74475 | − | 11.6823i | −0.289712 | − | 0.501796i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0.0981539 | − | 0.170008i | 0.00420831 | − | 0.00728901i | ||||
\(545\) | 24.5634 | 1.05218 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 34.4968 | 1.47498 | 0.737489 | − | 0.675360i | \(-0.236012\pi\) | ||||
0.737489 | + | 0.675360i | \(0.236012\pi\) | |||||||
\(548\) | 2.41309 | − | 4.17960i | 0.103082 | − | 0.178543i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −0.336454 | − | 0.582755i | −0.0143464 | − | 0.0248488i | ||||
\(551\) | −9.12766 | + | 15.8096i | −0.388852 | + | 0.673511i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 32.8774 | − | 18.8011i | 1.39809 | − | 0.799503i | ||||
\(554\) | −8.18949 | −0.347938 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 2.14405 | + | 3.71360i | 0.0909279 | + | 0.157492i | ||||
\(557\) | 2.71456 | + | 4.70176i | 0.115020 | + | 0.199220i | 0.917788 | − | 0.397072i | \(-0.129974\pi\) |
−0.802768 | + | 0.596292i | \(0.796640\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 6.43520 | 0.272180 | ||||||||
\(560\) | 0.115038 | − | 27.8401i | 0.00486123 | − | 1.17646i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −14.9698 | + | 25.9285i | −0.631464 | + | 1.09373i | ||||
\(563\) | −17.0841 | − | 29.5905i | −0.720007 | − | 1.24709i | −0.960996 | − | 0.276562i | \(-0.910805\pi\) |
0.240989 | − | 0.970528i | \(-0.422528\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 13.3372 | − | 23.1007i | 0.561100 | − | 0.971853i | ||||
\(566\) | −15.3253 | −0.644170 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 10.9734 | 0.460434 | ||||||||
\(569\) | −8.29626 | + | 14.3695i | −0.347797 | + | 0.602402i | −0.985858 | − | 0.167584i | \(-0.946404\pi\) |
0.638061 | + | 0.769986i | \(0.279737\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −6.96720 | − | 12.0675i | −0.291568 | − | 0.505011i | 0.682612 | − | 0.730781i | \(-0.260844\pi\) |
−0.974181 | + | 0.225769i | \(0.927510\pi\) | |||||||
\(572\) | 0.230778 | − | 0.399719i | 0.00964930 | − | 0.0167131i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −28.5788 | + | 16.3429i | −1.19286 | + | 0.682139i | ||||
\(575\) | −3.15473 | −0.131562 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −22.8387 | − | 39.5578i | −0.950788 | − | 1.64681i | −0.743726 | − | 0.668485i | \(-0.766943\pi\) |
−0.207062 | − | 0.978328i | \(-0.566390\pi\) | |||||||
\(578\) | 12.8806 | + | 22.3099i | 0.535763 | + | 0.927969i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −3.53844 | −0.146926 | ||||||||
\(581\) | −25.5711 | − | 14.9047i | −1.06087 | − | 0.618352i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −5.94346 | + | 10.2944i | −0.246153 | + | 0.426350i | ||||
\(584\) | 13.4554 | + | 23.3055i | 0.556790 | + | 0.964389i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −12.2166 | + | 21.1598i | −0.504665 | + | 0.874105i | ||||
\(587\) | −29.3966 | −1.21333 | −0.606664 | − | 0.794958i | \(-0.707493\pi\) | ||||
−0.606664 | + | 0.794958i | \(0.707493\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 15.8064 | 0.651292 | ||||||||
\(590\) | 8.76874 | − | 15.1879i | 0.361003 | − | 0.625276i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −0.676535 | − | 1.17179i | −0.0278054 | − | 0.0481604i | ||||
\(593\) | −0.912178 | + | 1.57994i | −0.0374587 | + | 0.0648803i | −0.884147 | − | 0.467209i | \(-0.845260\pi\) |
0.846688 | + | 0.532089i | \(0.178593\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.621893 | − | 0.362485i | −0.0254951 | − | 0.0148604i | ||||
\(596\) | 0.201882 | 0.00826941 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −8.29449 | − | 14.3665i | −0.339187 | − | 0.587489i | ||||
\(599\) | −11.2497 | − | 19.4851i | −0.459651 | − | 0.796139i | 0.539291 | − | 0.842119i | \(-0.318692\pi\) |
−0.998942 | + | 0.0459800i | \(0.985359\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −10.3352 | −0.421583 | −0.210792 | − | 0.977531i | \(-0.567604\pi\) | ||||
−0.210792 | + | 0.977531i | \(0.567604\pi\) | |||||||
\(602\) | −14.5699 | + | 8.33185i | −0.593825 | + | 0.339581i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −3.56603 | + | 6.17654i | −0.145100 | + | 0.251320i | ||||
\(605\) | −1.16659 | − | 2.02059i | −0.0474285 | − | 0.0821486i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 16.3137 | − | 28.2562i | 0.662155 | − | 1.14689i | −0.317894 | − | 0.948126i | \(-0.602976\pi\) |
0.980048 | − | 0.198759i | \(-0.0636911\pi\) | |||||||
\(608\) | 6.07958 | 0.246560 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −16.1764 | −0.654962 | ||||||||
\(611\) | −1.76922 | + | 3.06438i | −0.0715751 | + | 0.123972i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 3.19350 | + | 5.53130i | 0.128984 | + | 0.223407i | 0.923283 | − | 0.384120i | \(-0.125495\pi\) |
−0.794299 | + | 0.607527i | \(0.792162\pi\) | |||||||
\(614\) | −21.0932 | + | 36.5345i | −0.851253 | + | 1.47441i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0.0281855 | − | 6.82112i | 0.00113562 | − | 0.274831i | ||||
\(617\) | −4.14609 | −0.166915 | −0.0834577 | − | 0.996511i | \(-0.526596\pi\) | ||||
−0.0834577 | + | 0.996511i | \(0.526596\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 19.2980 | + | 33.4252i | 0.775653 | + | 1.34347i | 0.934427 | + | 0.356155i | \(0.115913\pi\) |
−0.158774 | + | 0.987315i | \(0.550754\pi\) | |||||||
\(620\) | 1.53188 | + | 2.65330i | 0.0615220 | + | 0.106559i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −13.7141 | −0.549885 | ||||||||
\(623\) | −31.9998 | + | 18.2992i | −1.28204 | + | 0.733142i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 13.5108 | − | 23.4014i | 0.540433 | − | 0.936057i | ||||
\(626\) | 12.2667 | + | 21.2466i | 0.490278 | + | 0.849186i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 2.28848 | − | 3.96376i | 0.0913203 | − | 0.158171i | ||||
\(629\) | −0.0349842 | −0.00139491 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −8.89990 | −0.354299 | −0.177150 | − | 0.984184i | \(-0.556688\pi\) | ||||
−0.177150 | + | 0.984184i | \(0.556688\pi\) | |||||||
\(632\) | 18.4530 | − | 31.9615i | 0.734021 | − | 1.27136i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −3.96866 | − | 6.87392i | −0.157616 | − | 0.272998i | ||||
\(635\) | −0.274029 | + | 0.474632i | −0.0108745 | + | 0.0188352i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −5.30730 | − | 9.37050i | −0.210283 | − | 0.371273i | ||||
\(638\) | −7.66635 | −0.303514 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −15.3693 | − | 26.6203i | −0.607523 | − | 1.05226i | ||||
\(641\) | 18.6648 | + | 32.3284i | 0.737217 | + | 1.27690i | 0.953744 | + | 0.300620i | \(0.0971936\pi\) |
−0.216527 | + | 0.976277i | \(0.569473\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 15.9206 | 0.627846 | 0.313923 | − | 0.949449i | \(-0.398357\pi\) | ||||
0.313923 | + | 0.949449i | \(0.398357\pi\) | |||||||
\(644\) | 4.87588 | + | 2.84202i | 0.192137 | + | 0.111991i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0.319324 | − | 0.553086i | 0.0125636 | − | 0.0217609i | ||||
\(647\) | 8.77640 | + | 15.2012i | 0.345036 | + | 0.597619i | 0.985360 | − | 0.170485i | \(-0.0545335\pi\) |
−0.640325 | + | 0.768105i | \(0.721200\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 2.47814 | − | 4.29226i | 0.0972753 | − | 0.168486i | ||||
\(650\) | −1.03523 | −0.0406051 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0.126196 | 0.00494221 | ||||||||
\(653\) | −11.9829 | + | 20.7549i | −0.468926 | + | 0.812204i | −0.999369 | − | 0.0355170i | \(-0.988692\pi\) |
0.530443 | + | 0.847721i | \(0.322026\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −6.71784 | − | 11.6356i | −0.262488 | − | 0.454642i | ||||
\(656\) | −18.5019 | + | 32.0462i | −0.722377 | + | 1.25119i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0.0381338 | − | 9.22871i | 0.00148661 | − | 0.359773i | ||||
\(659\) | 38.6166 | 1.50429 | 0.752144 | − | 0.658999i | \(-0.229020\pi\) | ||||
0.752144 | + | 0.658999i | \(0.229020\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −5.18942 | − | 8.98833i | −0.201845 | − | 0.349606i | 0.747278 | − | 0.664512i | \(-0.231360\pi\) |
−0.949123 | + | 0.314906i | \(0.898027\pi\) | |||||||
\(662\) | 14.8096 | + | 25.6509i | 0.575590 | + | 0.996951i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −28.8418 | −1.11928 | ||||||||
\(665\) | 0.0921145 | − | 22.2925i | 0.00357205 | − | 0.864466i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −17.9707 | + | 31.1262i | −0.695830 | + | 1.20521i | ||||
\(668\) | 2.46509 | + | 4.26966i | 0.0953771 | + | 0.165198i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −21.7428 | + | 37.6596i | −0.839996 | + | 1.45492i | ||||
\(671\) | −4.57160 | −0.176485 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −11.8103 | −0.455253 | −0.227627 | − | 0.973748i | \(-0.573097\pi\) | ||||
−0.227627 | + | 0.973748i | \(0.573097\pi\) | |||||||
\(674\) | 0.184752 | − | 0.320000i | 0.00711640 | − | 0.0123260i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 1.59505 | + | 2.76272i | 0.0613483 | + | 0.106258i | ||||
\(677\) | 20.9845 | − | 36.3462i | 0.806499 | − | 1.39690i | −0.108776 | − | 0.994066i | \(-0.534693\pi\) |
0.915275 | − | 0.402830i | \(-0.131974\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 37.5102 | + | 21.8637i | 1.43951 | + | 0.839050i | ||||
\(680\) | −0.701436 | −0.0268988 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 3.31896 | + | 5.74861i | 0.127090 | + | 0.220126i | ||||
\(683\) | 12.0767 | + | 20.9174i | 0.462100 | + | 0.800381i | 0.999065 | − | 0.0432234i | \(-0.0137627\pi\) |
−0.536965 | + | 0.843604i | \(0.680429\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −37.5326 | −1.43405 | ||||||||
\(686\) | 24.1485 | + | 14.3442i | 0.921994 | + | 0.547663i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −9.43254 | + | 16.3376i | −0.359612 | + | 0.622867i | ||||
\(689\) | 9.14369 | + | 15.8373i | 0.348347 | + | 0.603354i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 2.63720 | − | 4.56776i | 0.100324 | − | 0.173766i | −0.811494 | − | 0.584360i | \(-0.801345\pi\) |
0.911818 | + | 0.410595i | \(0.134679\pi\) | |||||||
\(692\) | −1.15851 | −0.0440401 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −33.6090 | −1.27578 | ||||||||
\(695\) | 16.6740 | − | 28.8802i | 0.632481 | − | 1.09549i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0.478374 | + | 0.828569i | 0.0181197 | + | 0.0313843i | ||||
\(698\) | 12.2708 | − | 21.2537i | 0.464457 | − | 0.804463i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0.305733 | − | 0.174835i | 0.0115556 | − | 0.00660814i | ||||
\(701\) | −26.9166 | −1.01662 | −0.508312 | − | 0.861173i | \(-0.669730\pi\) | ||||
−0.508312 | + | 0.861173i | \(0.669730\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −0.541724 | − | 0.938294i | −0.0204315 | − | 0.0353884i | ||||
\(704\) | −3.23346 | − | 5.60051i | −0.121865 | − | 0.211077i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 11.7943 | 0.443883 | ||||||||
\(707\) | 0.105553 | − | 25.5447i | 0.00396972 | − | 0.960705i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −5.87138 | + | 10.1695i | −0.220504 | + | 0.381925i | −0.954961 | − | 0.296731i | \(-0.904104\pi\) |
0.734457 | + | 0.678655i | \(0.237437\pi\) | |||||||
\(710\) | 7.53031 | + | 13.0429i | 0.282608 | + | 0.489491i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −17.9604 | + | 31.1084i | −0.673095 | + | 1.16584i | ||||
\(713\) | 31.1200 | 1.16545 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −3.58946 | −0.134238 | ||||||||
\(716\) | −1.90653 | + | 3.30221i | −0.0712504 | + | 0.123409i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 8.19927 | + | 14.2015i | 0.305994 | + | 0.529997i | ||||
\(719\) | 14.0839 | − | 24.3941i | 0.525242 | − | 0.909746i | −0.474326 | − | 0.880349i | \(-0.657308\pi\) |
0.999568 | − | 0.0293966i | \(-0.00935859\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 20.2575 | − | 11.5843i | 0.754428 | − | 0.431423i | ||||
\(722\) | −9.03630 | −0.336296 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −2.47806 | − | 4.29213i | −0.0920965 | − | 0.159516i | ||||
\(725\) | 1.12146 | + | 1.94242i | 0.0416499 | + | 0.0721398i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 32.9885 | 1.22347 | 0.611737 | − | 0.791061i | \(-0.290471\pi\) | ||||
0.611737 | + | 0.791061i | \(0.290471\pi\) | |||||||
\(728\) | −9.06632 | − | 5.28451i | −0.336020 | − | 0.195857i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −18.4672 | + | 31.9861i | −0.683500 | + | 1.18386i | ||||
\(731\) | 0.243882 | + | 0.422417i | 0.00902032 | + | 0.0156237i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −0.953106 | + | 1.65083i | −0.0352038 | + | 0.0609747i | −0.883090 | − | 0.469203i | \(-0.844541\pi\) |
0.847887 | + | 0.530177i | \(0.177875\pi\) | |||||||
\(734\) | −2.66416 | −0.0983360 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 11.9696 | 0.441206 | ||||||||
\(737\) | −6.14472 | + | 10.6430i | −0.226344 | + | 0.392039i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 18.9136 | + | 32.7594i | 0.695749 | + | 1.20507i | 0.969927 | + | 0.243394i | \(0.0782609\pi\) |
−0.274178 | + | 0.961679i | \(0.588406\pi\) | |||||||
\(740\) | 0.105003 | − | 0.181870i | 0.00385998 | − | 0.00668569i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −41.2072 | − | 24.0186i | −1.51276 | − | 0.881750i | ||||
\(743\) | −46.4995 | −1.70590 | −0.852950 | − | 0.521993i | \(-0.825189\pi\) | ||||
−0.852950 | + | 0.521993i | \(0.825189\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −0.785005 | − | 1.35967i | −0.0287604 | − | 0.0498144i | ||||
\(746\) | 7.03212 | + | 12.1800i | 0.257464 | + | 0.445941i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0.0349842 | 0.00127915 | ||||||||
\(749\) | −24.0793 | + | 13.7698i | −0.879838 | + | 0.503139i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −2.07408 | + | 3.59242i | −0.0756843 | + | 0.131089i | −0.901384 | − | 0.433021i | \(-0.857447\pi\) |
0.825699 | + | 0.564110i | \(0.190781\pi\) | |||||||
\(752\) | −5.18656 | − | 8.98338i | −0.189134 | − | 0.327590i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −5.89713 | + | 10.2141i | −0.214761 | + | 0.371976i | ||||
\(755\) | 55.4651 | 2.01858 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 4.56418 | 0.165888 | 0.0829439 | − | 0.996554i | \(-0.473568\pi\) | ||||
0.0829439 | + | 0.996554i | \(0.473568\pi\) | |||||||
\(758\) | 8.73023 | − | 15.1212i | 0.317096 | − | 0.549227i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −10.8616 | − | 18.8129i | −0.393992 | − | 0.682414i | ||||
\(761\) | −6.52544 | + | 11.3024i | −0.236547 | + | 0.409711i | −0.959721 | − | 0.280954i | \(-0.909349\pi\) |
0.723174 | + | 0.690666i | \(0.242682\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −0.115095 | + | 27.8539i | −0.00416671 | + | 1.00838i | ||||
\(764\) | 4.92311 | 0.178112 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −17.0452 | − | 29.5231i | −0.615868 | − | 1.06671i | ||||
\(767\) | −3.81247 | − | 6.60340i | −0.137660 | − | 0.238435i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −4.40156 | −0.158724 | −0.0793622 | − | 0.996846i | \(-0.525288\pi\) | ||||
−0.0793622 | + | 0.996846i | \(0.525288\pi\) | |||||||
\(770\) | 8.12687 | − | 4.64738i | 0.292872 | − | 0.167480i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −3.09813 | + | 5.36612i | −0.111504 | + | 0.193131i | ||||
\(773\) | 11.2048 | + | 19.4073i | 0.403008 | + | 0.698031i | 0.994087 | − | 0.108583i | \(-0.0346312\pi\) |
−0.591079 | + | 0.806614i | \(0.701298\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0.971018 | − | 1.68185i | 0.0348800 | − | 0.0604139i | ||||
\(776\) | 42.3078 | 1.51876 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 52.0681 | 1.86673 | ||||||||
\(779\) | −14.8151 | + | 25.6605i | −0.530805 | + | 0.919382i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 2.12814 | + | 3.68605i | 0.0761509 | + | 0.131897i | ||||
\(782\) | 0.628692 | − | 1.08893i |