Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [572,2,Mod(131,572)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(572, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("572.131");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 572 = 2^{2} \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 572.e (of order \(2\), degree \(1\), 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: | \(4.56744299562\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Coefficient field: | 8.0.342102016.5 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} + x^{6} + 4x^{4} + 4x^{2} + 16 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 131.3 | ||
Root | \(-0.599676 + 1.28078i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 572.131 |
Dual form | 572.2.e.a.131.4 |
$q$-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 \(\left(\mathbb{Z}/572\mathbb{Z}\right)^\times\).
\(n\) | \(287\) | \(353\) | \(365\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.599676 | − | 1.28078i | −0.424035 | − | 0.905646i | ||||
\(3\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(4\) | −1.28078 | + | 1.53610i | −0.640388 | + | 0.768051i | ||||
\(5\) | 0.561553 | 0.251134 | 0.125567 | − | 0.992085i | \(-0.459925\pi\) | ||||
0.125567 | + | 0.992085i | \(0.459925\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −4.53448 | −1.71387 | −0.856937 | − | 0.515421i | \(-0.827636\pi\) | ||||
−0.856937 | + | 0.515421i | \(0.827636\pi\) | |||||||
\(8\) | 2.73546 | + | 0.719224i | 0.967130 | + | 0.254284i | ||||
\(9\) | 3.00000 | 1.00000 | ||||||||
\(10\) | −0.336750 | − | 0.719224i | −0.106490 | − | 0.227438i | ||||
\(11\) | 1.66757 | − | 2.86692i | 0.502790 | − | 0.864409i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | − | 1.00000i | − | 0.277350i | ||||||
\(14\) | 2.71922 | + | 5.80766i | 0.726743 | + | 1.55216i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.719224 | − | 3.93481i | −0.179806 | − | 0.983702i | ||||
\(17\) | − | 3.12311i | − | 0.757464i | −0.925506 | − | 0.378732i | \(-0.876360\pi\) | ||
0.925506 | − | 0.378732i | \(-0.123640\pi\) | |||||||
\(18\) | −1.79903 | − | 3.84233i | −0.424035 | − | 0.905646i | ||||
\(19\) | −5.20798 | −1.19479 | −0.597397 | − | 0.801946i | \(-0.703798\pi\) | ||||
−0.597397 | + | 0.801946i | \(0.703798\pi\) | |||||||
\(20\) | −0.719224 | + | 0.862603i | −0.160823 | + | 0.192884i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −4.67188 | − | 0.416556i | −0.996049 | − | 0.0888100i | ||||
\(23\) | 1.19935i | 0.250082i | 0.992152 | + | 0.125041i | \(0.0399063\pi\) | ||||
−0.992152 | + | 0.125041i | \(0.960094\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.68466 | −0.936932 | ||||||||
\(26\) | −1.28078 | + | 0.599676i | −0.251181 | + | 0.117606i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 5.80766 | − | 6.96543i | 1.09754 | − | 1.31634i | ||||
\(29\) | − | 5.68466i | − | 1.05561i | −0.849364 | − | 0.527807i | \(-0.823014\pi\) | ||
0.849364 | − | 0.527807i | \(-0.176986\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − | 7.60669i | − | 1.36620i | −0.730324 | − | 0.683101i | \(-0.760631\pi\) | ||
0.730324 | − | 0.683101i | \(-0.239369\pi\) | |||||||
\(32\) | −4.60831 | + | 3.28078i | −0.814642 | + | 0.579965i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −4.00000 | + | 1.87285i | −0.685994 | + | 0.321192i | ||||
\(35\) | −2.54635 | −0.430412 | ||||||||
\(36\) | −3.84233 | + | 4.60831i | −0.640388 | + | 0.768051i | ||||
\(37\) | −8.24621 | −1.35567 | −0.677834 | − | 0.735215i | \(-0.737081\pi\) | ||||
−0.677834 | + | 0.735215i | \(0.737081\pi\) | |||||||
\(38\) | 3.12311 | + | 6.67026i | 0.506635 | + | 1.08206i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.53610 | + | 0.403882i | 0.242879 | + | 0.0638594i | ||||
\(41\) | − | 8.56155i | − | 1.33709i | −0.743672 | − | 0.668545i | \(-0.766917\pi\) | ||
0.743672 | − | 0.668545i | \(-0.233083\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 5.47091 | 0.834306 | 0.417153 | − | 0.908836i | \(-0.363028\pi\) | ||||
0.417153 | + | 0.908836i | \(0.363028\pi\) | |||||||
\(44\) | 2.26810 | + | 6.23343i | 0.341929 | + | 0.939726i | ||||
\(45\) | 1.68466 | 0.251134 | ||||||||
\(46\) | 1.53610 | − | 0.719224i | 0.226486 | − | 0.106044i | ||||
\(47\) | 5.73384i | 0.836366i | 0.908363 | + | 0.418183i | \(0.137333\pi\) | ||||
−0.908363 | + | 0.418183i | \(0.862667\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 13.5616 | 1.93736 | ||||||||
\(50\) | 2.80928 | + | 6.00000i | 0.397292 | + | 0.848528i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 1.53610 | + | 1.28078i | 0.213019 | + | 0.177612i | ||||
\(53\) | −4.24621 | −0.583262 | −0.291631 | − | 0.956531i | \(-0.594198\pi\) | ||||
−0.291631 | + | 0.956531i | \(0.594198\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.936426 | − | 1.60993i | 0.126268 | − | 0.217082i | ||||
\(56\) | −12.4039 | − | 3.26131i | −1.65754 | − | 0.435811i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −7.28078 | + | 3.40896i | −0.956013 | + | 0.447618i | ||||
\(59\) | − | 4.53448i | − | 0.590340i | −0.955445 | − | 0.295170i | \(-0.904624\pi\) | ||
0.955445 | − | 0.295170i | \(-0.0953762\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | − | 0.315342i | − | 0.0403753i | −0.999796 | − | 0.0201877i | \(-0.993574\pi\) | ||
0.999796 | − | 0.0201877i | \(-0.00642637\pi\) | |||||||
\(62\) | −9.74247 | + | 4.56155i | −1.23729 | + | 0.579318i | ||||
\(63\) | −13.6035 | −1.71387 | ||||||||
\(64\) | 6.96543 | + | 3.93481i | 0.870679 | + | 0.491851i | ||||
\(65\) | − | 0.561553i | − | 0.0696521i | ||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | − | 10.1530i | − | 1.24039i | −0.784447 | − | 0.620196i | \(-0.787053\pi\) | ||
0.784447 | − | 0.620196i | \(-0.212947\pi\) | |||||||
\(68\) | 4.79741 | + | 4.00000i | 0.581772 | + | 0.485071i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 1.52699 | + | 3.26131i | 0.182510 | + | 0.389801i | ||||
\(71\) | − | 0.410574i | − | 0.0487261i | −0.999703 | − | 0.0243631i | \(-0.992244\pi\) | ||
0.999703 | − | 0.0243631i | \(-0.00775577\pi\) | |||||||
\(72\) | 8.20637 | + | 2.15767i | 0.967130 | + | 0.254284i | ||||
\(73\) | 14.8078i | 1.73312i | 0.499075 | + | 0.866559i | \(0.333673\pi\) | ||||
−0.499075 | + | 0.866559i | \(0.666327\pi\) | |||||||
\(74\) | 4.94506 | + | 10.5616i | 0.574851 | + | 1.22776i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 6.67026 | − | 8.00000i | 0.765132 | − | 0.917663i | ||||
\(77\) | −7.56155 | + | 13.0000i | −0.861719 | + | 1.48149i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −4.27156 | −0.480588 | −0.240294 | − | 0.970700i | \(-0.577244\pi\) | ||||
−0.240294 | + | 0.970700i | \(0.577244\pi\) | |||||||
\(80\) | −0.403882 | − | 2.20960i | −0.0451554 | − | 0.247041i | ||||
\(81\) | 9.00000 | 1.00000 | ||||||||
\(82\) | −10.9654 | + | 5.13416i | −1.21093 | + | 0.566973i | ||||
\(83\) | 3.33513 | 0.366078 | 0.183039 | − | 0.983106i | \(-0.441406\pi\) | ||||
0.183039 | + | 0.983106i | \(0.441406\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | − | 1.75379i | − | 0.190225i | ||||||
\(86\) | −3.28078 | − | 7.00701i | −0.353775 | − | 0.755586i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 6.62351 | − | 6.64298i | 0.706068 | − | 0.708144i | ||||
\(89\) | −2.00000 | −0.212000 | −0.106000 | − | 0.994366i | \(-0.533804\pi\) | ||||
−0.106000 | + | 0.994366i | \(0.533804\pi\) | |||||||
\(90\) | −1.01025 | − | 2.15767i | −0.106490 | − | 0.227438i | ||||
\(91\) | 4.53448i | 0.475343i | ||||||||
\(92\) | −1.84233 | − | 1.53610i | −0.192076 | − | 0.160150i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 7.34376 | − | 3.43845i | 0.757451 | − | 0.354649i | ||||
\(95\) | −2.92456 | −0.300053 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 12.2462 | 1.24341 | 0.621707 | − | 0.783250i | \(-0.286439\pi\) | ||||
0.621707 | + | 0.783250i | \(0.286439\pi\) | |||||||
\(98\) | −8.13254 | − | 17.3693i | −0.821511 | − | 1.75457i | ||||
\(99\) | 5.00270 | − | 8.60076i | 0.502790 | − | 0.864409i | ||||
\(100\) | 6.00000 | − | 7.19612i | 0.600000 | − | 0.719612i | ||||
\(101\) | 13.1231i | 1.30580i | 0.757445 | + | 0.652899i | \(0.226447\pi\) | ||||
−0.757445 | + | 0.652899i | \(0.773553\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | − | 8.39547i | − | 0.827230i | −0.910452 | − | 0.413615i | \(-0.864266\pi\) | ||
0.910452 | − | 0.413615i | \(-0.135734\pi\) | |||||||
\(104\) | 0.719224 | − | 2.73546i | 0.0705257 | − | 0.268233i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 2.54635 | + | 5.43845i | 0.247324 | + | 0.528229i | ||||
\(107\) | −2.54635 | −0.246165 | −0.123083 | − | 0.992396i | \(-0.539278\pi\) | ||||
−0.123083 | + | 0.992396i | \(0.539278\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 2.00000i | 0.191565i | 0.995402 | + | 0.0957826i | \(0.0305354\pi\) | ||||
−0.995402 | + | 0.0957826i | \(0.969465\pi\) | |||||||
\(110\) | −2.62351 | − | 0.233918i | −0.250142 | − | 0.0223032i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 3.26131 | + | 17.8423i | 0.308165 | + | 1.68594i | ||||
\(113\) | 7.68466 | 0.722912 | 0.361456 | − | 0.932389i | \(-0.382280\pi\) | ||||
0.361456 | + | 0.932389i | \(0.382280\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.673500i | 0.0628042i | ||||||||
\(116\) | 8.73222 | + | 7.28078i | 0.810766 | + | 0.676003i | ||||
\(117\) | − | 3.00000i | − | 0.277350i | ||||||
\(118\) | −5.80766 | + | 2.71922i | −0.534639 | + | 0.250325i | ||||
\(119\) | 14.1617i | 1.29820i | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −5.43845 | − | 9.56155i | −0.494404 | − | 0.869232i | ||||
\(122\) | −0.403882 | + | 0.189103i | −0.0365658 | + | 0.0171206i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 11.6847 | + | 9.74247i | 1.04931 | + | 0.874900i | ||||
\(125\) | −5.43845 | −0.486430 | ||||||||
\(126\) | 8.15767 | + | 17.4230i | 0.726743 | + | 1.55216i | ||||
\(127\) | 9.89012 | 0.877606 | 0.438803 | − | 0.898583i | \(-0.355403\pi\) | ||||
0.438803 | + | 0.898583i | \(0.355403\pi\) | |||||||
\(128\) | 0.862603 | − | 11.2808i | 0.0762440 | − | 0.997089i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −0.719224 | + | 0.336750i | −0.0630801 | + | 0.0295349i | ||||
\(131\) | 15.8869 | 1.38804 | 0.694022 | − | 0.719954i | \(-0.255837\pi\) | ||||
0.694022 | + | 0.719954i | \(0.255837\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 23.6155 | 2.04773 | ||||||||
\(134\) | −13.0038 | + | 6.08854i | −1.12336 | + | 0.525970i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 2.24621 | − | 8.54312i | 0.192611 | − | 0.732566i | ||||
\(137\) | −21.3693 | −1.82570 | −0.912852 | − | 0.408291i | \(-0.866125\pi\) | ||||
−0.912852 | + | 0.408291i | \(0.866125\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 17.6121 | 1.49384 | 0.746919 | − | 0.664915i | \(-0.231532\pi\) | ||||
0.746919 | + | 0.664915i | \(0.231532\pi\) | |||||||
\(140\) | 3.26131 | − | 3.91146i | 0.275631 | − | 0.330579i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −0.525853 | + | 0.246211i | −0.0441286 | + | 0.0206616i | ||||
\(143\) | −2.86692 | − | 1.66757i | −0.239744 | − | 0.139449i | ||||
\(144\) | −2.15767 | − | 11.8044i | −0.179806 | − | 0.983702i | ||||
\(145\) | − | 3.19224i | − | 0.265101i | ||||||
\(146\) | 18.9654 | − | 8.87987i | 1.56959 | − | 0.734903i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 10.5616 | − | 12.6670i | 0.868154 | − | 1.04122i | ||||
\(149\) | − | 18.4924i | − | 1.51496i | −0.652859 | − | 0.757479i | \(-0.726431\pi\) | ||
0.652859 | − | 0.757479i | \(-0.273569\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −6.55498 | −0.533437 | −0.266719 | − | 0.963774i | \(-0.585939\pi\) | ||||
−0.266719 | + | 0.963774i | \(0.585939\pi\) | |||||||
\(152\) | −14.2462 | − | 3.74571i | −1.15552 | − | 0.303817i | ||||
\(153\) | − | 9.36932i | − | 0.757464i | ||||||
\(154\) | 21.1846 | + | 1.88887i | 1.70710 | + | 0.152209i | ||||
\(155\) | − | 4.27156i | − | 0.343100i | ||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 8.00000 | 0.638470 | 0.319235 | − | 0.947676i | \(-0.396574\pi\) | ||||
0.319235 | + | 0.947676i | \(0.396574\pi\) | |||||||
\(158\) | 2.56155 | + | 5.47091i | 0.203786 | + | 0.435242i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −2.58781 | + | 1.84233i | −0.204584 | + | 0.145649i | ||||
\(161\) | − | 5.43845i | − | 0.428610i | ||||||
\(162\) | −5.39709 | − | 11.5270i | −0.424035 | − | 0.905646i | ||||
\(163\) | 6.40734i | 0.501861i | 0.968005 | + | 0.250931i | \(0.0807366\pi\) | ||||
−0.968005 | + | 0.250931i | \(0.919263\pi\) | |||||||
\(164\) | 13.1514 | + | 10.9654i | 1.02695 | + | 0.856257i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −2.00000 | − | 4.27156i | −0.155230 | − | 0.331537i | ||||
\(167\) | 0.262926 | 0.0203459 | 0.0101729 | − | 0.999948i | \(-0.496762\pi\) | ||||
0.0101729 | + | 0.999948i | \(0.496762\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −1.00000 | −0.0769231 | ||||||||
\(170\) | −2.24621 | + | 1.05171i | −0.172277 | + | 0.0806621i | ||||
\(171\) | −15.6240 | −1.19479 | ||||||||
\(172\) | −7.00701 | + | 8.40388i | −0.534280 | + | 0.640790i | ||||
\(173\) | 16.8078i | 1.27787i | 0.769260 | + | 0.638935i | \(0.220625\pi\) | ||||
−0.769260 | + | 0.638935i | \(0.779375\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 21.2425 | 1.60578 | ||||||||
\(176\) | −12.4801 | − | 4.49960i | −0.940725 | − | 0.339170i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 1.19935 | + | 2.56155i | 0.0898953 | + | 0.191997i | ||||
\(179\) | − | 14.1617i | − | 1.05849i | −0.848468 | − | 0.529247i | \(-0.822475\pi\) | ||
0.848468 | − | 0.529247i | \(-0.177525\pi\) | |||||||
\(180\) | −2.15767 | + | 2.58781i | −0.160823 | + | 0.192884i | ||||
\(181\) | 1.75379 | 0.130358 | 0.0651790 | − | 0.997874i | \(-0.479238\pi\) | ||||
0.0651790 | + | 0.997874i | \(0.479238\pi\) | |||||||
\(182\) | 5.80766 | − | 2.71922i | 0.430492 | − | 0.201562i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −0.862603 | + | 3.28078i | −0.0635919 | + | 0.241862i | ||||
\(185\) | −4.63068 | −0.340455 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −8.95369 | − | 5.20798i | −0.654759 | − | 0.380846i | ||||
\(188\) | −8.80776 | − | 7.34376i | −0.642372 | − | 0.535599i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 1.75379 | + | 3.74571i | 0.127233 | + | 0.271742i | ||||
\(191\) | − | 1.72521i | − | 0.124832i | −0.998050 | − | 0.0624158i | \(-0.980120\pi\) | ||
0.998050 | − | 0.0624158i | \(-0.0198805\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | − | 4.24621i | − | 0.305649i | −0.988253 | − | 0.152824i | \(-0.951163\pi\) | ||
0.988253 | − | 0.152824i | \(-0.0488369\pi\) | |||||||
\(194\) | −7.34376 | − | 15.6847i | −0.527252 | − | 1.12609i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −17.3693 | + | 20.8319i | −1.24067 | + | 1.48800i | ||||
\(197\) | 5.36932i | 0.382548i | 0.981537 | + | 0.191274i | \(0.0612619\pi\) | ||||
−0.981537 | + | 0.191274i | \(0.938738\pi\) | |||||||
\(198\) | −14.0156 | − | 1.24967i | −0.996049 | − | 0.0888100i | ||||
\(199\) | 5.99676i | 0.425099i | 0.977150 | + | 0.212550i | \(0.0681767\pi\) | ||||
−0.977150 | + | 0.212550i | \(0.931823\pi\) | |||||||
\(200\) | −12.8147 | − | 3.36932i | −0.906134 | − | 0.238247i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 16.8078 | − | 7.86962i | 1.18259 | − | 0.553704i | ||||
\(203\) | 25.7770i | 1.80919i | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | − | 4.80776i | − | 0.335789i | ||||||
\(206\) | −10.7527 | + | 5.03457i | −0.749177 | + | 0.350775i | ||||
\(207\) | 3.59806i | 0.250082i | ||||||||
\(208\) | −3.93481 | + | 0.719224i | −0.272830 | + | 0.0498692i | ||||
\(209\) | −8.68466 | + | 14.9309i | −0.600730 | + | 1.03279i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −17.6121 | −1.21247 | −0.606233 | − | 0.795287i | \(-0.707320\pi\) | ||||
−0.606233 | + | 0.795287i | \(0.707320\pi\) | |||||||
\(212\) | 5.43845 | − | 6.52262i | 0.373514 | − | 0.447975i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 1.52699 | + | 3.26131i | 0.104383 | + | 0.222938i | ||||
\(215\) | 3.07221 | 0.209523 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 34.4924i | 2.34150i | ||||||||
\(218\) | 2.56155 | − | 1.19935i | 0.173490 | − | 0.0812304i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 1.27366 | + | 3.50040i | 0.0858701 | + | 0.235997i | ||||
\(221\) | −3.12311 | −0.210083 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 23.3459i | 1.56336i | 0.623681 | + | 0.781679i | \(0.285637\pi\) | ||||
−0.623681 | + | 0.781679i | \(0.714363\pi\) | |||||||
\(224\) | 20.8963 | − | 14.8766i | 1.39619 | − | 0.993987i | ||||
\(225\) | −14.0540 | −0.936932 | ||||||||
\(226\) | −4.60831 | − | 9.84233i | −0.306540 | − | 0.654702i | ||||
\(227\) | 15.6240 | 1.03700 | 0.518499 | − | 0.855078i | \(-0.326491\pi\) | ||||
0.518499 | + | 0.855078i | \(0.326491\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 5.19224 | 0.343113 | 0.171556 | − | 0.985174i | \(-0.445120\pi\) | ||||
0.171556 | + | 0.985174i | \(0.445120\pi\) | |||||||
\(230\) | 0.862603 | − | 0.403882i | 0.0568783 | − | 0.0266312i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 4.08854 | − | 15.5501i | 0.268426 | − | 1.02092i | ||||
\(233\) | 9.12311i | 0.597675i | 0.954304 | + | 0.298837i | \(0.0965988\pi\) | ||||
−0.954304 | + | 0.298837i | \(0.903401\pi\) | |||||||
\(234\) | −3.84233 | + | 1.79903i | −0.251181 | + | 0.117606i | ||||
\(235\) | 3.21985i | 0.210040i | ||||||||
\(236\) | 6.96543 | + | 5.80766i | 0.453411 | + | 0.378047i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 18.1379 | − | 8.49242i | 1.17571 | − | 0.550482i | ||||
\(239\) | 2.13578 | 0.138152 | 0.0690760 | − | 0.997611i | \(-0.477995\pi\) | ||||
0.0690760 | + | 0.997611i | \(0.477995\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | − | 2.49242i | − | 0.160551i | −0.996773 | − | 0.0802755i | \(-0.974420\pi\) | ||
0.996773 | − | 0.0802755i | \(-0.0255800\pi\) | |||||||
\(242\) | −8.98490 | + | 12.6993i | −0.577571 | + | 0.816340i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0.484397 | + | 0.403882i | 0.0310103 | + | 0.0258559i | ||||
\(245\) | 7.61553 | 0.486538 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 5.20798i | 0.331376i | ||||||||
\(248\) | 5.47091 | − | 20.8078i | 0.347403 | − | 1.32129i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 3.26131 | + | 6.96543i | 0.206263 | + | 0.440533i | ||||
\(251\) | 22.4095i | 1.41447i | 0.706976 | + | 0.707237i | \(0.250059\pi\) | ||||
−0.706976 | + | 0.707237i | \(0.749941\pi\) | |||||||
\(252\) | 17.4230 | − | 20.8963i | 1.09754 | − | 1.31634i | ||||
\(253\) | 3.43845 | + | 2.00000i | 0.216173 | + | 0.125739i | ||||
\(254\) | −5.93087 | − | 12.6670i | −0.372136 | − | 0.794800i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −14.9654 | + | 5.66001i | −0.935340 | + | 0.353751i | ||||
\(257\) | −30.8078 | −1.92174 | −0.960868 | − | 0.277007i | \(-0.910657\pi\) | ||||
−0.960868 | + | 0.277007i | \(0.910657\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 37.3923 | 2.32345 | ||||||||
\(260\) | 0.862603 | + | 0.719224i | 0.0534964 | + | 0.0446044i | ||||
\(261\) | − | 17.0540i | − | 1.05561i | ||||||
\(262\) | −9.52699 | − | 20.3475i | −0.588579 | − | 1.25708i | ||||
\(263\) | −26.1552 | −1.61280 | −0.806399 | − | 0.591371i | \(-0.798587\pi\) | ||||
−0.806399 | + | 0.591371i | \(0.798587\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −2.38447 | −0.146477 | ||||||||
\(266\) | −14.1617 | − | 30.2462i | −0.868308 | − | 1.85451i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 15.5961 | + | 13.0038i | 0.952685 | + | 0.794332i | ||||
\(269\) | −2.87689 | −0.175407 | −0.0877037 | − | 0.996147i | \(-0.527953\pi\) | ||||
−0.0877037 | + | 0.996147i | \(0.527953\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −13.2252 | −0.803377 | −0.401688 | − | 0.915776i | \(-0.631576\pi\) | ||||
−0.401688 | + | 0.915776i | \(0.631576\pi\) | |||||||
\(272\) | −12.2888 | + | 2.24621i | −0.745119 | + | 0.136197i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 12.8147 | + | 27.3693i | 0.774163 | + | 1.65344i | ||||
\(275\) | −7.81198 | + | 13.4305i | −0.471080 | + | 0.809892i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 1.43845i | 0.0864279i | 0.999066 | + | 0.0432140i | \(0.0137597\pi\) | ||||
−0.999066 | + | 0.0432140i | \(0.986240\pi\) | |||||||
\(278\) | −10.5616 | − | 22.5571i | −0.633440 | − | 1.35289i | ||||
\(279\) | − | 22.8201i | − | 1.36620i | ||||||
\(280\) | −6.96543 | − | 1.83140i | −0.416264 | − | 0.109447i | ||||
\(281\) | 4.56155i | 0.272119i | 0.990701 | + | 0.136060i | \(0.0434439\pi\) | ||||
−0.990701 | + | 0.136060i | \(0.956556\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 27.3546 | 1.62606 | 0.813030 | − | 0.582222i | \(-0.197817\pi\) | ||||
0.813030 | + | 0.582222i | \(0.197817\pi\) | |||||||
\(284\) | 0.630683 | + | 0.525853i | 0.0374242 | + | 0.0312036i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −0.416556 | + | 4.67188i | −0.0246314 | + | 0.276254i | ||||
\(287\) | 38.8222i | 2.29160i | ||||||||
\(288\) | −13.8249 | + | 9.84233i | −0.814642 | + | 0.579965i | ||||
\(289\) | 7.24621 | 0.426248 | ||||||||
\(290\) | −4.08854 | + | 1.91431i | −0.240087 | + | 0.112412i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −22.7462 | − | 18.9654i | −1.33112 | − | 1.10987i | ||||
\(293\) | − | 19.1231i | − | 1.11718i | −0.829443 | − | 0.558592i | \(-0.811342\pi\) | ||
0.829443 | − | 0.558592i | \(-0.188658\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | − | 2.54635i | − | 0.148254i | ||||||
\(296\) | −22.5571 | − | 5.93087i | −1.31111 | − | 0.344725i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −23.6847 | + | 11.0895i | −1.37202 | + | 0.642396i | ||||
\(299\) | 1.19935 | 0.0693604 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −24.8078 | −1.42990 | ||||||||
\(302\) | 3.93087 | + | 8.39547i | 0.226196 | + | 0.483105i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 3.74571 | + | 20.4924i | 0.214831 | + | 1.17532i | ||||
\(305\) | − | 0.177081i | − | 0.0101396i | ||||||
\(306\) | −12.0000 | + | 5.61856i | −0.685994 | + | 0.321192i | ||||
\(307\) | −4.68213 | −0.267223 | −0.133612 | − | 0.991034i | \(-0.542657\pi\) | ||||
−0.133612 | + | 0.991034i | \(0.542657\pi\) | |||||||
\(308\) | −10.2847 | − | 28.2654i | −0.586024 | − | 1.61057i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −5.47091 | + | 2.56155i | −0.310727 | + | 0.145486i | ||||
\(311\) | 26.1552i | 1.48313i | 0.670884 | + | 0.741563i | \(0.265915\pi\) | ||||
−0.670884 | + | 0.741563i | \(0.734085\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −31.6847 | −1.79092 | −0.895461 | − | 0.445139i | \(-0.853154\pi\) | ||||
−0.895461 | + | 0.445139i | \(0.853154\pi\) | |||||||
\(314\) | −4.79741 | − | 10.2462i | −0.270734 | − | 0.578227i | ||||
\(315\) | −7.63906 | −0.430412 | ||||||||
\(316\) | 5.47091 | − | 6.56155i | 0.307763 | − | 0.369116i | ||||
\(317\) | 34.1771 | 1.91958 | 0.959788 | − | 0.280726i | \(-0.0905751\pi\) | ||||
0.959788 | + | 0.280726i | \(0.0905751\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −16.2975 | − | 9.47954i | −0.912482 | − | 0.530753i | ||||
\(320\) | 3.91146 | + | 2.20960i | 0.218657 | + | 0.123521i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −6.96543 | + | 3.26131i | −0.388169 | + | 0.181746i | ||||
\(323\) | 16.2651i | 0.905014i | ||||||||
\(324\) | −11.5270 | + | 13.8249i | −0.640388 | + | 0.768051i | ||||
\(325\) | 4.68466i | 0.259858i | ||||||||
\(326\) | 8.20637 | − | 3.84233i | 0.454509 | − | 0.212807i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 6.15767 | − | 23.4197i | 0.340000 | − | 1.29314i | ||||
\(329\) | − | 26.0000i | − | 1.43343i | ||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | − | 32.5625i | − | 1.78980i | −0.446268 | − | 0.894900i | \(-0.647247\pi\) | ||
0.446268 | − | 0.894900i | \(-0.352753\pi\) | |||||||
\(332\) | −4.27156 | + | 5.12311i | −0.234432 | + | 0.281167i | ||||
\(333\) | −24.7386 | −1.35567 | ||||||||
\(334\) | −0.157671 | − | 0.336750i | −0.00862736 | − | 0.0184261i | ||||
\(335\) | − | 5.70147i | − | 0.311505i | ||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 3.75379i | 0.204482i | 0.994760 | + | 0.102241i | \(0.0326013\pi\) | ||||
−0.994760 | + | 0.102241i | \(0.967399\pi\) | |||||||
\(338\) | 0.599676 | + | 1.28078i | 0.0326181 | + | 0.0696651i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 2.69400 | + | 2.24621i | 0.146103 | + | 0.121818i | ||||
\(341\) | −21.8078 | − | 12.6847i | −1.18096 | − | 0.686913i | ||||
\(342\) | 9.36932 | + | 20.0108i | 0.506635 | + | 1.08206i | ||||
\(343\) | −29.7533 | −1.60653 | ||||||||
\(344\) | 14.9654 | + | 3.93481i | 0.806882 | + | 0.212151i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 21.5270 | − | 10.0792i | 1.15730 | − | 0.541862i | ||||
\(347\) | 21.3578 | 1.14655 | 0.573273 | − | 0.819364i | \(-0.305673\pi\) | ||||
0.573273 | + | 0.819364i | \(0.305673\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | − | 18.0000i | − | 0.963518i | −0.876304 | − | 0.481759i | \(-0.839998\pi\) | ||
0.876304 | − | 0.481759i | \(-0.160002\pi\) | |||||||
\(350\) | −12.7386 | − | 27.2069i | −0.680909 | − | 1.45427i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 1.72106 | + | 18.6826i | 0.0917329 | + | 0.995784i | ||||
\(353\) | −3.12311 | −0.166226 | −0.0831131 | − | 0.996540i | \(-0.526486\pi\) | ||||
−0.0831131 | + | 0.996540i | \(0.526486\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | − | 0.230559i | − | 0.0122368i | ||||||
\(356\) | 2.56155 | − | 3.07221i | 0.135762 | − | 0.162827i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −18.1379 | + | 8.49242i | −0.958620 | + | 0.448838i | ||||
\(359\) | 6.93319 | 0.365920 | 0.182960 | − | 0.983120i | \(-0.441432\pi\) | ||||
0.182960 | + | 0.983120i | \(0.441432\pi\) | |||||||
\(360\) | 4.60831 | + | 1.21165i | 0.242879 | + | 0.0638594i | ||||
\(361\) | 8.12311 | 0.427532 | ||||||||
\(362\) | −1.05171 | − | 2.24621i | −0.0552764 | − | 0.118058i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −6.96543 | − | 5.80766i | −0.365088 | − | 0.304404i | ||||
\(365\) | 8.31534i | 0.435245i | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | − | 15.7392i | − | 0.821581i | −0.911730 | − | 0.410791i | \(-0.865253\pi\) | ||
0.911730 | − | 0.410791i | \(-0.134747\pi\) | |||||||
\(368\) | 4.71922 | − | 0.862603i | 0.246007 | − | 0.0449663i | ||||
\(369\) | − | 25.6847i | − | 1.33709i | ||||||
\(370\) | 2.77691 | + | 5.93087i | 0.144365 | + | 0.308331i | ||||
\(371\) | 19.2544 | 0.999638 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | − | 21.0540i | − | 1.09013i | −0.838393 | − | 0.545067i | \(-0.816504\pi\) | ||
0.838393 | − | 0.545067i | \(-0.183496\pi\) | |||||||
\(374\) | −1.30095 | + | 14.5908i | −0.0672704 | + | 0.754471i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −4.12391 | + | 15.6847i | −0.212674 | + | 0.808874i | ||||
\(377\) | −5.68466 | −0.292775 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 35.1089i | − | 1.80342i | −0.432339 | − | 0.901711i | \(-0.642311\pi\) | ||
0.432339 | − | 0.901711i | \(-0.357689\pi\) | |||||||
\(380\) | 3.74571 | − | 4.49242i | 0.192151 | − | 0.230456i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −2.20960 | + | 1.03457i | −0.113053 | + | 0.0529330i | ||||
\(383\) | − | 7.08084i | − | 0.361814i | −0.983500 | − | 0.180907i | \(-0.942097\pi\) | ||
0.983500 | − | 0.180907i | \(-0.0579033\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −4.24621 | + | 7.30019i | −0.216407 | + | 0.372052i | ||||
\(386\) | −5.43845 | + | 2.54635i | −0.276810 | + | 0.129606i | ||||
\(387\) | 16.4127 | 0.834306 | ||||||||
\(388\) | −15.6847 | + | 18.8114i | −0.796268 | + | 0.955006i | ||||
\(389\) | 12.0000 | 0.608424 | 0.304212 | − | 0.952604i | \(-0.401607\pi\) | ||||
0.304212 | + | 0.952604i | \(0.401607\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 3.74571 | 0.189428 | ||||||||
\(392\) | 37.0970 | + | 9.75379i | 1.87368 | + | 0.492641i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 6.87689 | − | 3.21985i | 0.346453 | − | 0.162214i | ||||
\(395\) | −2.39871 | −0.120692 | ||||||||
\(396\) | 6.80431 | + | 18.7003i | 0.341929 | + | 0.939726i | ||||
\(397\) | 17.0540 | 0.855914 | 0.427957 | − | 0.903799i | \(-0.359233\pi\) | ||||
0.427957 | + | 0.903799i | \(0.359233\pi\) | |||||||
\(398\) | 7.68051 | − | 3.59612i | 0.384989 | − | 0.180257i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 3.36932 | + | 18.4332i | 0.168466 | + | 0.921662i | ||||
\(401\) | 31.6155 | 1.57880 | 0.789402 | − | 0.613877i | \(-0.210391\pi\) | ||||
0.789402 | + | 0.613877i | \(0.210391\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −7.60669 | −0.378916 | ||||||||
\(404\) | −20.1584 | − | 16.8078i | −1.00292 | − | 0.836218i | ||||
\(405\) | 5.05398 | 0.251134 | ||||||||
\(406\) | 33.0146 | − | 15.4579i | 1.63849 | − | 0.767161i | ||||
\(407\) | −13.7511 | + | 23.6412i | −0.681617 | + | 1.17185i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 29.6847i | 1.46781i | 0.679251 | + | 0.733906i | \(0.262305\pi\) | ||||
−0.679251 | + | 0.733906i | \(0.737695\pi\) | |||||||
\(410\) | −6.15767 | + | 2.88310i | −0.304106 | + | 0.142386i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 12.8963 | + | 10.7527i | 0.635355 | + | 0.529748i | ||||
\(413\) | 20.5616i | 1.01177i | ||||||||
\(414\) | 4.60831 | − | 2.15767i | 0.226486 | − | 0.106044i | ||||
\(415\) | 1.87285 | 0.0919347 | ||||||||
\(416\) | 3.28078 | + | 4.60831i | 0.160853 | + | 0.225941i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 24.3311 | + | 2.16942i | 1.19007 | + | 0.106110i | ||||
\(419\) | 12.2888i | 0.600348i | 0.953884 | + | 0.300174i | \(0.0970448\pi\) | ||||
−0.953884 | + | 0.300174i | \(0.902955\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 18.3153 | 0.892635 | 0.446318 | − | 0.894875i | \(-0.352735\pi\) | ||||
0.446318 | + | 0.894875i | \(0.352735\pi\) | |||||||
\(422\) | 10.5616 | + | 22.5571i | 0.514128 | + | 1.09806i | ||||
\(423\) | 17.2015i | 0.836366i | ||||||||
\(424\) | −11.6153 | − | 3.05398i | −0.564090 | − | 0.148314i | ||||
\(425\) | 14.6307i | 0.709692i | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 1.42991i | 0.0691983i | ||||||||
\(428\) | 3.26131 | − | 3.91146i | 0.157641 | − | 0.189068i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −1.84233 | − | 3.93481i | −0.0888450 | − | 0.189753i | ||||
\(431\) | −23.6412 | −1.13876 | −0.569379 | − | 0.822075i | \(-0.692816\pi\) | ||||
−0.569379 | + | 0.822075i | \(0.692816\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −13.0540 | −0.627334 | −0.313667 | − | 0.949533i | \(-0.601558\pi\) | ||||
−0.313667 | + | 0.949533i | \(0.601558\pi\) | |||||||
\(434\) | 44.1771 | − | 20.6843i | 2.12057 | − | 0.992878i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −3.07221 | − | 2.56155i | −0.147132 | − | 0.122676i | ||||
\(437\) | − | 6.24621i | − | 0.298797i | ||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −9.59482 | −0.457936 | −0.228968 | − | 0.973434i | \(-0.573535\pi\) | ||||
−0.228968 | + | 0.973434i | \(0.573535\pi\) | |||||||
\(440\) | 3.71945 | − | 3.73038i | 0.177318 | − | 0.177839i | ||||
\(441\) | 40.6847 | 1.93736 | ||||||||
\(442\) | 1.87285 | + | 4.00000i | 0.0890825 | + | 0.190261i | ||||
\(443\) | − | 33.8772i | − | 1.60955i | −0.593578 | − | 0.804777i | \(-0.702285\pi\) | ||
0.593578 | − | 0.804777i | \(-0.297715\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −1.12311 | −0.0532403 | ||||||||
\(446\) | 29.9009 | − | 14.0000i | 1.41585 | − | 0.662919i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −31.5847 | − | 17.8423i | −1.49223 | − | 0.842971i | ||||
\(449\) | 31.6155 | 1.49203 | 0.746015 | − | 0.665930i | \(-0.231965\pi\) | ||||
0.746015 | + | 0.665930i | \(0.231965\pi\) | |||||||
\(450\) | 8.42784 | + | 18.0000i | 0.397292 | + | 0.848528i | ||||
\(451\) | −24.5453 | − | 14.2770i | −1.15579 | − | 0.672276i | ||||
\(452\) | −9.84233 | + | 11.8044i | −0.462944 | + | 0.555233i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −9.36932 | − | 20.0108i | −0.439724 | − | 0.939153i | ||||
\(455\) | 2.54635i | 0.119375i | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | − | 27.3002i | − | 1.27705i | −0.769602 | − | 0.638524i | \(-0.779545\pi\) | ||
0.769602 | − | 0.638524i | \(-0.220455\pi\) | |||||||
\(458\) | −3.11366 | − | 6.65009i | −0.145492 | − | 0.310738i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −1.03457 | − | 0.862603i | −0.0482368 | − | 0.0402191i | ||||
\(461\) | 23.6155i | 1.09988i | 0.835203 | + | 0.549942i | \(0.185350\pi\) | ||||
−0.835203 | + | 0.549942i | \(0.814650\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 28.4386i | 1.32166i | 0.750538 | + | 0.660828i | \(0.229795\pi\) | ||||
−0.750538 | + | 0.660828i | \(0.770205\pi\) | |||||||
\(464\) | −22.3680 | + | 4.08854i | −1.03841 | + | 0.189806i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 11.6847 | − | 5.47091i | 0.541281 | − | 0.253435i | ||||
\(467\) | − | 22.7048i | − | 1.05065i | −0.850901 | − | 0.525326i | \(-0.823943\pi\) | ||
0.850901 | − | 0.525326i | \(-0.176057\pi\) | |||||||
\(468\) | 4.60831 | + | 3.84233i | 0.213019 | + | 0.177612i | ||||
\(469\) | 46.0388i | 2.12588i | ||||||||
\(470\) | 4.12391 | − | 1.93087i | 0.190222 | − | 0.0890644i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 3.26131 | − | 12.4039i | 0.150114 | − | 0.570935i | ||||
\(473\) | 9.12311 | − | 15.6847i | 0.419481 | − | 0.721181i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 24.3976 | 1.11944 | ||||||||
\(476\) | −21.7538 | − | 18.1379i | −0.997083 | − | 0.831351i | ||||
\(477\) | −12.7386 | −0.583262 | ||||||||
\(478\) | −1.28078 | − | 2.73546i | −0.0585813 | − | 0.125117i | ||||
\(479\) | 10.1530 | 0.463904 | 0.231952 | − | 0.972727i | \(-0.425489\pi\) | ||||
0.231952 | + | 0.972727i | \(0.425489\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 8.24621i | 0.375995i | ||||||||
\(482\) | −3.19224 | + | 1.49465i | −0.145402 | + | 0.0680793i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 21.6530 | + | 3.89220i | 0.984226 | + | 0.176918i | ||||
\(485\) | 6.87689 | 0.312264 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 17.2015i | 0.779475i | 0.920926 | + | 0.389737i | \(0.127434\pi\) | ||||
−0.920926 | + | 0.389737i | \(0.872566\pi\) | |||||||
\(488\) | 0.226801 | − | 0.862603i | 0.0102668 | − | 0.0390482i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −4.56685 | − | 9.75379i | −0.206309 | − | 0.440631i | ||||
\(491\) | −3.07221 | −0.138647 | −0.0693233 | − | 0.997594i | \(-0.522084\pi\) | ||||
−0.0693233 | + | 0.997594i | \(0.522084\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −17.7538 | −0.799590 | ||||||||
\(494\) | 6.67026 | − | 3.12311i | 0.300109 | − | 0.140515i | ||||
\(495\) | 2.80928 | − | 4.82978i | 0.126268 | − | 0.217082i | ||||
\(496\) | −29.9309 | + | 5.47091i | −1.34394 | + | 0.245651i | ||||
\(497\) | 1.86174i | 0.0835104i | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 10.6789i | 0.478053i | 0.971013 | + | 0.239027i | \(0.0768283\pi\) | ||||
−0.971013 | + | 0.239027i | \(0.923172\pi\) | |||||||
\(500\) | 6.96543 | − | 8.35401i | 0.311504 | − | 0.373603i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 28.7016 | − | 13.4384i | 1.28101 | − | 0.599787i | ||||
\(503\) | 27.5022 | 1.22626 | 0.613131 | − | 0.789981i | \(-0.289910\pi\) | ||||
0.613131 | + | 0.789981i | \(0.289910\pi\) | |||||||
\(504\) | −37.2116 | − | 9.78393i | −1.65754 | − | 0.435811i | ||||
\(505\) | 7.36932i | 0.327930i | ||||||||
\(506\) | 0.499597 | − | 5.60323i | 0.0222098 | − | 0.249094i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −12.6670 | + | 15.1922i | −0.562008 | + | 0.674046i | ||||
\(509\) | −14.0000 | −0.620539 | −0.310270 | − | 0.950649i | \(-0.600419\pi\) | ||||
−0.310270 | + | 0.950649i | \(0.600419\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | − | 67.1456i | − | 2.97035i | ||||||
\(512\) | 16.2236 | + | 15.7732i | 0.716990 | + | 0.697083i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 18.4747 | + | 39.4579i | 0.814884 | + | 1.74041i | ||||
\(515\) | − | 4.71450i | − | 0.207746i | ||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 16.4384 | + | 9.56155i | 0.722962 | + | 0.420517i | ||||
\(518\) | −22.4233 | − | 47.8912i | −0.985223 | − | 2.10422i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0.403882 | − | 1.53610i | 0.0177114 | − | 0.0673626i | ||||
\(521\) | −20.1771 | −0.883974 | −0.441987 | − | 0.897021i | \(-0.645726\pi\) | ||||
−0.441987 | + | 0.897021i | \(0.645726\pi\) | |||||||
\(522\) | −21.8423 | + | 10.2269i | −0.956013 | + | 0.447618i | ||||
\(523\) | 8.01726 | 0.350570 | 0.175285 | − | 0.984518i | \(-0.443915\pi\) | ||||
0.175285 | + | 0.984518i | \(0.443915\pi\) | |||||||
\(524\) | −20.3475 | + | 24.4039i | −0.888887 | + | 1.06609i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 15.6847 | + | 33.4990i | 0.683884 | + | 1.46062i | ||||
\(527\) | −23.7565 | −1.03485 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 21.5616 | 0.937459 | ||||||||
\(530\) | 1.42991 | + | 3.05398i | 0.0621114 | + | 0.132656i | ||||
\(531\) | − | 13.6035i | − | 0.590340i | ||||||
\(532\) | −30.2462 | + | 36.2759i | −1.31134 | + | 1.57276i | ||||
\(533\) | −8.56155 | −0.370842 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −1.42991 | −0.0618205 | ||||||||
\(536\) | 7.30231 | − | 27.7732i | 0.315412 | − | 1.19962i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 1.72521 | + | 3.68466i | 0.0743789 | + | 0.158857i | ||||
\(539\) | 22.6148 | − | 38.8799i | 0.974088 | − | 1.67467i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | − | 23.7538i | − | 1.02126i | −0.859802 | − | 0.510628i | \(-0.829413\pi\) | ||
0.859802 | − | 0.510628i | \(-0.170587\pi\) | |||||||
\(542\) | 7.93087 | + | 16.9386i | 0.340660 | + | 0.727575i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 10.2462 | + | 14.3922i | 0.439303 | + | 0.617062i | ||||
\(545\) | 1.12311i | 0.0481086i | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −20.9796 | −0.897022 | −0.448511 | − | 0.893777i | \(-0.648046\pi\) | ||||
−0.448511 | + | 0.893777i | \(0.648046\pi\) | |||||||
\(548\) | 27.3693 | − | 32.8255i | 1.16916 | − | 1.40223i | ||||
\(549\) | − | 0.946025i | − | 0.0403753i | ||||||
\(550\) | 21.8862 | + | 1.95142i | 0.933229 | + | 0.0832089i | ||||
\(551\) | 29.6056i | 1.26124i | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 19.3693 | 0.823667 | ||||||||
\(554\) | 1.84233 | − | 0.862603i | 0.0782731 | − | 0.0366485i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −22.5571 | + | 27.0540i | −0.956636 | + | 1.14734i | ||||
\(557\) | − | 36.2462i | − | 1.53580i | −0.640569 | − | 0.767901i | \(-0.721301\pi\) | ||
0.640569 | − | 0.767901i | \(-0.278699\pi\) | |||||||
\(558\) | −29.2274 | + | 13.6847i | −1.23729 | + | 0.579318i | ||||
\(559\) | − | 5.47091i | − | 0.231395i | ||||||
\(560\) | 1.83140 | + | 10.0194i | 0.0773906 | + | 0.423397i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 5.84233 | − | 2.73546i | 0.246444 | − | 0.115388i | ||||
\(563\) | 3.45041 | 0.145418 | 0.0727088 | − | 0.997353i | \(-0.476836\pi\) | ||||
0.0727088 | + | 0.997353i | \(0.476836\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 4.31534 | 0.181548 | ||||||||
\(566\) | −16.4039 | − | 35.0351i | −0.689507 | − | 1.47263i | ||||
\(567\) | −40.8104 | −1.71387 | ||||||||
\(568\) | 0.295294 | − | 1.12311i | 0.0123903 | − | 0.0471245i | ||||
\(569\) | 44.9848i | 1.88586i | 0.332987 | + | 0.942931i | \(0.391943\pi\) | ||||
−0.332987 | + | 0.942931i | \(0.608057\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 33.2037 | 1.38953 | 0.694765 | − | 0.719237i | \(-0.255508\pi\) | ||||
0.694765 | + | 0.719237i | \(0.255508\pi\) | |||||||
\(572\) | 6.23343 | − | 2.26810i | 0.260633 | − | 0.0948341i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 49.7226 | − | 23.2808i | 2.07538 | − | 0.971721i | ||||
\(575\) | − | 5.61856i | − | 0.234310i | ||||||
\(576\) | 20.8963 | + | 11.8044i | 0.870679 | + | 0.491851i | ||||
\(577\) | −26.0000 | −1.08239 | −0.541197 | − | 0.840896i | \(-0.682029\pi\) | ||||
−0.541197 | + | 0.840896i | \(0.682029\pi\) | |||||||
\(578\) | −4.34538 | − | 9.28078i | −0.180744 | − | 0.386029i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 4.90360 | + | 4.08854i | 0.203611 | + | 0.169767i | ||||
\(581\) | −15.1231 | −0.627412 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −7.08084 | + | 12.1735i | −0.293258 | + | 0.504177i | ||||
\(584\) | −10.6501 | + | 40.5060i | −0.440704 | + | 1.67615i | ||||
\(585\) | − | 1.68466i | − | 0.0696521i | ||||||
\(586\) | −24.4924 | + | 11.4677i | −1.01177 | + | 0.473725i | ||||
\(587\) | − | 1.31463i | − | 0.0542607i | −0.999632 | − | 0.0271303i | \(-0.991363\pi\) | ||
0.999632 | − | 0.0271303i | \(-0.00863691\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 39.6155i | 1.63233i | ||||||||
\(590\) | −3.26131 | + | 1.52699i | −0.134266 | + | 0.0628651i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 5.93087 | + | 32.4473i | 0.243757 | + | 1.33357i | ||||
\(593\) | − | 20.7386i | − | 0.851634i | −0.904809 | − | 0.425817i | \(-0.859987\pi\) | ||
0.904809 | − | 0.425817i | \(-0.140013\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 7.95253i | 0.326022i | ||||||||
\(596\) | 28.4063 | + | 23.6847i | 1.16357 | + | 0.970161i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −0.719224 | − | 1.53610i | −0.0294112 | − | 0.0628159i | ||||
\(599\) | 12.9623i | 0.529626i | 0.964300 | + | 0.264813i | \(0.0853103\pi\) | ||||
−0.964300 | + | 0.264813i | \(0.914690\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | − | 40.7386i | − | 1.66176i | −0.556449 | − | 0.830882i | \(-0.687837\pi\) | ||
0.556449 | − | 0.830882i | \(-0.312163\pi\) | |||||||
\(602\) | 14.8766 | + | 31.7732i | 0.606326 | + | 1.29498i | ||||
\(603\) | − | 30.4591i | − | 1.24039i | ||||||
\(604\) | 8.39547 | − | 10.0691i | 0.341607 | − | 0.409707i | ||||
\(605\) | −3.05398 | − | 5.36932i | −0.124162 | − | 0.218294i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −12.5194 | −0.508146 | −0.254073 | − | 0.967185i | \(-0.581770\pi\) | ||||
−0.254073 | + | 0.967185i | \(0.581770\pi\) | |||||||
\(608\) | 24.0000 | − | 17.0862i | 0.973329 | − | 0.692938i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −0.226801 | + | 0.106191i | −0.00918291 | + | 0.00429956i | ||||
\(611\) | 5.73384 | 0.231966 | ||||||||
\(612\) | 14.3922 | + | 12.0000i | 0.581772 | + | 0.485071i | ||||
\(613\) | − | 17.3693i | − | 0.701540i | −0.936462 | − | 0.350770i | \(-0.885920\pi\) | ||
0.936462 | − | 0.350770i | \(-0.114080\pi\) | |||||||
\(614\) | 2.80776 | + | 5.99676i | 0.113312 | + | 0.242010i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −30.0342 | + | 30.1225i | −1.21011 | + | 1.21367i | ||||
\(617\) | 41.3693 | 1.66547 | 0.832733 | − | 0.553675i | \(-0.186775\pi\) | ||||
0.832733 | + | 0.553675i | \(0.186775\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | − | 9.33190i | − | 0.375081i | −0.982257 | − | 0.187540i | \(-0.939948\pi\) | ||
0.982257 | − | 0.187540i | \(-0.0600515\pi\) | |||||||
\(620\) | 6.56155 | + | 5.47091i | 0.263518 | + | 0.219717i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 33.4990 | − | 15.6847i | 1.34319 | − | 0.628898i | ||||
\(623\) | 9.06897 | 0.363341 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 20.3693 | 0.814773 | ||||||||
\(626\) | 19.0005 | + | 40.5810i | 0.759414 | + | 1.62194i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −10.2462 | + | 12.2888i | −0.408868 | + | 0.490377i | ||||
\(629\) | 25.7538i | 1.02687i | ||||||||
\(630\) | 4.58096 | + | 9.78393i | 0.182510 | + | 0.389801i | ||||
\(631\) | − | 36.9817i | − | 1.47222i | −0.676862 | − | 0.736110i | \(-0.736661\pi\) | ||
0.676862 | − | 0.736110i | \(-0.263339\pi\) | |||||||
\(632\) | −11.6847 | − | 3.07221i | −0.464791 | − | 0.122206i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −20.4952 | − | 43.7732i | −0.813968 | − | 1.73846i | ||||
\(635\) | 5.55382 | 0.220397 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | − | 13.5616i | − | 0.537328i | ||||||
\(638\) | −2.36798 | + | 26.5581i | −0.0937491 | + | 1.05144i | ||||
\(639\) | − | 1.23172i | − | 0.0487261i | ||||||
\(640\) | 0.484397 | − | 6.33475i | 0.0191475 | − | 0.250403i | ||||
\(641\) | −1.43845 | −0.0568152 | −0.0284076 | − | 0.999596i | \(-0.509044\pi\) | ||||
−0.0284076 | + | 0.999596i | \(0.509044\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 4.68213i | 0.184645i | 0.995729 | + | 0.0923226i | \(0.0294291\pi\) | ||||
−0.995729 | + | 0.0923226i | \(0.970571\pi\) | |||||||
\(644\) | 8.35401 | + | 6.96543i | 0.329194 | + | 0.274477i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 20.8319 | − | 9.75379i | 0.819622 | − | 0.383758i | ||||
\(647\) | − | 40.5474i | − | 1.59408i | −0.603924 | − | 0.797042i | \(-0.706397\pi\) | ||
0.603924 | − | 0.797042i | \(-0.293603\pi\) | |||||||
\(648\) | 24.6191 | + | 6.47301i | 0.967130 | + | 0.254284i | ||||
\(649\) | −13.0000 | − | 7.56155i | −0.510295 | − | 0.296817i | ||||
\(650\) | 6.00000 | − | 2.80928i | 0.235339 | − | 0.110189i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −9.84233 | − | 8.20637i | −0.385455 | − | 0.321386i | ||||
\(653\) | −29.7538 | −1.16436 | −0.582178 | − | 0.813061i | \(-0.697799\pi\) | ||||
−0.582178 | + | 0.813061i | \(0.697799\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 8.92132 | 0.348585 | ||||||||
\(656\) | −33.6881 | + | 6.15767i | −1.31530 | + | 0.240417i | ||||
\(657\) | 44.4233i | 1.73312i | ||||||||
\(658\) | −33.3002 | + | 15.5916i | −1.29818 | + | 0.607823i | ||||
\(659\) | −5.32326 | −0.207365 | −0.103682 | − | 0.994610i | \(-0.533063\pi\) | ||||
−0.103682 | + | 0.994610i | \(0.533063\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 14.0000 | 0.544537 | 0.272268 | − | 0.962221i | \(-0.412226\pi\) | ||||
0.272268 | + | 0.962221i | \(0.412226\pi\) | |||||||
\(662\) | −41.7053 | + | 19.5270i | −1.62092 | + | 0.758938i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 9.12311 | + | 2.39871i | 0.354045 | + | 0.0930878i | ||||
\(665\) | 13.2614 | 0.514254 | ||||||||
\(666\) | 14.8352 | + | 31.6847i | 0.574851 | + | 1.22776i | ||||
\(667\) | 6.81791 | 0.263991 | ||||||||
\(668\) | −0.336750 | + | 0.403882i | −0.0130292 | + | 0.0156267i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −7.30231 | + | 3.41904i | −0.282113 | + | 0.132089i | ||||
\(671\) | −0.904059 | − | 0.525853i | −0.0349008 | − | 0.0203003i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | − | 44.2462i | − | 1.70557i | −0.522265 | − | 0.852783i | \(-0.674913\pi\) | ||
0.522265 | − | 0.852783i | \(-0.325087\pi\) | |||||||
\(674\) | 4.80776 | − | 2.25106i | 0.185188 | − | 0.0867075i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 1.28078 | − | 1.53610i | 0.0492606 | − | 0.0590809i | ||||
\(677\) | − | 27.3693i | − | 1.05189i | −0.850519 | − | 0.525944i | \(-0.823712\pi\) | ||
0.850519 | − | 0.525944i | \(-0.176288\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −55.5303 | −2.13106 | ||||||||
\(680\) | 1.26137 | − | 4.79741i | 0.0483712 | − | 0.183972i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −3.16861 | + | 35.5376i | −0.121332 | + | 1.36080i | ||||
\(683\) | 31.5108i | 1.20573i | 0.797844 | + | 0.602864i | \(0.205974\pi\) | ||||
−0.797844 | + | 0.602864i | \(0.794026\pi\) | |||||||
\(684\) | 20.0108 | − | 24.0000i | 0.765132 | − | 0.917663i | ||||
\(685\) | −12.0000 | −0.458496 | ||||||||
\(686\) | 17.8423 | + | 38.1073i | 0.681223 | + | 1.45494i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −3.93481 | − | 21.5270i | −0.150013 | − | 0.820709i | ||||
\(689\) | 4.24621i | 0.161768i | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 47.3977i | 1.80309i | 0.432681 | + | 0.901547i | \(0.357568\pi\) | ||||
−0.432681 | + | 0.901547i | \(0.642432\pi\) | |||||||
\(692\) | −25.8185 | − | 21.5270i | −0.981470 | − | 0.818333i | ||||
\(693\) | −22.6847 | + | 39.0000i | −0.861719 | + | 1.48149i | ||||
\(694\) | −12.8078 | − | 27.3546i | −0.486176 | − | 1.03836i | ||||
\(695\) | 9.89012 | 0.375154 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −26.7386 | −1.01280 | ||||||||
\(698\) | −23.0540 | + | 10.7942i | −0.872606 | + | 0.408566i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −27.2069 | + | 32.6307i | −1.02832 | + | 1.23332i | ||||
\(701\) | − | 6.80776i | − | 0.257126i | −0.991701 | − | 0.128563i | \(-0.958964\pi\) | ||
0.991701 | − | 0.128563i | \(-0.0410364\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 42.9461 | 1.61974 | ||||||||
\(704\) | 22.8961 | − | 13.4078i | 0.862929 | − | 0.505325i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 1.87285 | + | 4.00000i | 0.0704857 | + | 0.150542i | ||||
\(707\) | − | 59.5065i | − | 2.23797i | ||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −0.0691303 | −0.00259624 | −0.00129812 | − | 0.999999i | \(-0.500413\pi\) | ||||
−0.00129812 | + | 0.999999i | \(0.500413\pi\) | |||||||
\(710\) | −0.295294 | + | 0.138261i | −0.0110822 | + | 0.00518883i | ||||
\(711\) | −12.8147 | −0.480588 | ||||||||
\(712\) | −5.47091 | − | 1.43845i | −0.205031 | − | 0.0539081i | ||||
\(713\) | 9.12311 | 0.341663 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −1.60993 | − | 0.936426i | −0.0602078 | − | 0.0350204i | ||||
\(716\) | 21.7538 | + | 18.1379i | 0.812977 | + | 0.677847i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −4.15767 | − | 8.87987i | −0.155163 | − | 0.331394i | ||||
\(719\) | 9.44718i | 0.352320i | 0.984362 | + | 0.176160i | \(0.0563676\pi\) | ||||
−0.984362 | + | 0.176160i | \(0.943632\pi\) | |||||||
\(720\) | −1.21165 | − | 6.62881i | −0.0451554 | − | 0.247041i | ||||
\(721\) | 38.0691i | 1.41777i | ||||||||
\(722\) | −4.87123 | − | 10.4039i | −0.181289 | − | 0.387192i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −2.24621 | + | 2.69400i | −0.0834798 | + | 0.100122i | ||||
\(725\) | 26.6307i | 0.989039i | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | − | 42.1897i | − | 1.56473i | −0.622820 | − | 0.782365i | \(-0.714013\pi\) | ||
0.622820 | − | 0.782365i | \(-0.285987\pi\) | |||||||
\(728\) | −3.26131 | + | 12.4039i | −0.120872 | + | 0.459718i | ||||
\(729\) | 27.0000 | 1.00000 | ||||||||
\(730\) | 10.6501 | − | 4.98651i | 0.394178 | − | 0.184559i | ||||
\(731\) | − | 17.0862i | − | 0.631957i | ||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | − | 13.8617i | − | 0.511995i | −0.966677 | − | 0.255998i | \(-0.917596\pi\) | ||
0.966677 | − | 0.255998i | \(-0.0824039\pi\) | |||||||
\(734\) | −20.1584 | + | 9.43845i | −0.744062 | + | 0.348379i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −3.93481 | − | 5.52699i | −0.145039 | − | 0.203727i | ||||
\(737\) | −29.1080 | − | 16.9309i | −1.07221 | − | 0.623657i | ||||
\(738\) | −32.8963 | + | 15.4025i | −1.21093 | + | 0.566973i | ||||
\(739\) | −23.8718 | −0.878138 | −0.439069 | − | 0.898453i | \(-0.644692\pi\) | ||||
−0.439069 | + | 0.898453i | \(0.644692\pi\) | |||||||
\(740\) | 5.93087 | − | 7.11321i | 0.218023 | − | 0.261487i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −11.5464 | − | 24.6606i | −0.423882 | − | 0.905318i | ||||
\(743\) | −35.2565 | −1.29344 | −0.646719 | − | 0.762729i | \(-0.723859\pi\) | ||||
−0.646719 | + | 0.762729i | \(0.723859\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | − | 10.3845i | − | 0.380458i | ||||||
\(746\) | −26.9654 | + | 12.6256i | −0.987275 | + | 0.462255i | ||||
\(747\) | 10.0054 | 0.366078 | ||||||||
\(748\) | 19.4677 | − | 7.08352i | 0.711809 | − | 0.258999i | ||||
\(749\) | 11.5464 | 0.421896 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | − | 26.8287i | − | 0.978993i | −0.872005 | − | 0.489497i | \(-0.837181\pi\) | ||
0.872005 | − | 0.489497i | \(-0.162819\pi\) | |||||||
\(752\) | 22.5616 | − | 4.12391i | 0.822735 | − | 0.150384i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 3.40896 | + | 7.28078i | 0.124147 | + | 0.265150i | ||||
\(755\) | −3.68097 | −0.133964 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 16.2462 | 0.590479 | 0.295239 | − | 0.955423i | \(-0.404601\pi\) | ||||
0.295239 | + | 0.955423i | \(0.404601\pi\) | |||||||
\(758\) | −44.9666 | + | 21.0540i | −1.63326 | + | 0.764715i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −8.00000 | − | 2.10341i | −0.290191 | − | 0.0762988i | ||||
\(761\) | − | 13.6847i | − | 0.496068i | −0.968751 | − | 0.248034i | \(-0.920215\pi\) | ||
0.968751 | − | 0.248034i | \(-0.0797846\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | − | 9.06897i | − | 0.328319i | ||||||
\(764\) | 2.65009 | + | 2.20960i | 0.0958770 | + | 0.0799406i | ||||
\(765\) | − | 5.26137i | − | 0.190225i | ||||||
\(766\) | −9.06897 | + | 4.24621i | −0.327675 | + | 0.153422i | ||||
\(767\) | −4.53448 | −0.163731 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 9.05398i | 0.326495i | 0.986585 | + | 0.163247i | \(0.0521969\pi\) | ||||
−0.986585 | + | 0.163247i | \(0.947803\pi\) | |||||||
\(770\) | 11.8963 | + | 1.06070i | 0.428711 | + | 0.0382249i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 6.52262 | + | 5.43845i | 0.234754 | + | 0.195734i | ||||
\(773\) | 8.73863 | 0.314307 | 0.157153 | − | 0.987574i | \(-0.449768\pi\) | ||||
0.157153 | + | 0.987574i | \(0.449768\pi\) | |||||||
\(774\) | −9.84233 | − | 21.0210i | −0.353775 | − | 0.755586i | ||||
\(775\) | 35.6347i | 1.28004i | ||||||||
\(776\) | 33.4990 | + | 8.80776i | 1.20254 | + | 0.316180i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −7.19612 | − | 15.3693i | −0.257993 | − | 0.551017i | ||||
\(779\) | 44.5884i | 1.59755i | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −1.17708 | − | 0.684658i | −0.0421193 | − | 0.0244990i | ||||
\(782\) | −2.24621 | − | 4.79741i | −0.0803244 | − | 0.171555i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −9.75379 | − | 53.3621i | −0.348350 | − | 1.90579i | ||||
\(785\) | 4.49242 | 0.160341 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −27.3869 | −0.976238 | −0.488119 | − | 0.872777i | \(-0.662317\pi\) | ||||
−0.488119 | + | 0.872777i | \(0.662317\pi\) | |||||||
\(788\) | −8.24782 | − | 6.87689i | −0.293817 | − | 0.244979i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 1.43845 | + | 3.07221i | 0.0511777 | + | 0.109304i | ||||
\(791\) | −34.8460 | −1.23898 | ||||||||
\(792\) | 19.8705 | − | 19.9289i | 0.706068 | − | 0.708144i | ||||
\(793\) | −0.315342 | −0.0111981 | ||||||||
\(794\) | −10.2269 | − | 21.8423i | −0.362938 | − | 0.775155i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −9.21165 | − | 7.68051i | −0.326498 | − | 0.272229i | ||||
\(797\) | 28.0000 | 0.991811 | 0.495905 | − | 0.868377i | \(-0.334836\pi\) | ||||
0.495905 | + | 0.868377i | \(0.334836\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 17.9074 | 0.633518 | ||||||||
\(800\) | 21.5884 | − | 15.3693i | 0.763263 | − | 0.543387i | ||||
\(801\) | −6.00000 | −0.212000 | ||||||||
\(802\) | −18.9591 | − | 40.4924i | −0.669469 | − | 1.42984i | ||||
\(803\) | 42.4527 | + | 24.6929i | 1.49812 | + | 0.871394i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | − | 3.05398i | − | 0.107638i | ||||||
\(806\) | 4.56155 | + | 9.74247i | 0.160674 | + | 0.343164i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −9.43845 | + | 35.8977i | −0.332043 | + | 1.26288i | ||||
\(809\) | − | 35.1231i | − | 1.23486i | −0.786625 | − | 0.617431i | \(-0.788173\pi\) | ||
0.786625 | − | 0.617431i | \(-0.211827\pi\) | |||||||
\(810\) | −3.03075 | − | 6.47301i | −0.106490 | − | 0.227438i | ||||
\(811\) | −26.2705 | −0.922481 | −0.461241 | − | 0.887275i | \(-0.652596\pi\) | ||||
−0.461241 | + | 0.887275i | \(0.652596\pi\) | |||||||
\(812\) | −39.5961 | − | 33.0146i | −1.38955 | − | 1.15858i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 38.5253 | + | 3.43501i | 1.35031 | + | 0.120397i | ||||
\(815\) | 3.59806i | 0.126034i | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −28.4924 | −0.996824 | ||||||||
\(818\) | 38.0194 | − | 17.8012i | 1.32932 | − | 0.622404i | ||||
\(819\) | 13.6035i | 0.475343i | ||||||||
\(820\) | 7.38522 | + | 6.15767i | 0.257903 | + | 0.215035i | ||||
\(821\) | 37.2311i | 1.29937i | 0.760202 | + | 0.649686i | \(0.225100\pi\) | ||||
−0.760202 | + | 0.649686i | \(0.774900\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 43.9149i | 1.53078i | 0.643568 | + | 0.765389i | \(0.277454\pi\) | ||||
−0.643568 | + | 0.765389i | \(0.722546\pi\) | |||||||
\(824\) | 6.03822 | − | 22.9654i | 0.210351 | − | 0.800039i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 26.3348 | − | 12.3303i | 0.916303 | − | 0.429025i | ||||
\(827\) | 19.0744 | 0.663281 | 0.331640 | − | 0.943406i | \(-0.392398\pi\) | ||||
0.331640 | + | 0.943406i | \(0.392398\pi\) | |||||||
\(828\) | −5.52699 | − | 4.60831i | −0.192076 | − | 0.160150i | ||||
\(829\) | 54.9848 | 1.90970 | 0.954851 | − | 0.297084i | \(-0.0960142\pi\) | ||||
0.954851 | + | 0.297084i | \(0.0960142\pi\) | |||||||
\(830\) | −1.12311 | − | 2.39871i | −0.0389836 | − | 0.0832603i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 3.93481 | − | 6.96543i | 0.136415 | − | 0.241483i | ||||
\(833\) | − | 42.3542i | − | 1.46748i | ||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 0.147647 | 0.00510954 | ||||||||
\(836\) | −11.8122 | − | 32.4636i | −0.408535 | − | 1.12278i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 15.7392 | − | 7.36932i | 0.543703 | − | 0.254569i | ||||
\(839\) | 24.3976i | 0.842300i | 0.906991 | + | 0.421150i | \(0.138373\pi\) | ||||
−0.906991 | + | 0.421150i | \(0.861627\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −3.31534 | −0.114322 | ||||||||
\(842\) | −10.9833 | − | 23.4579i | −0.378509 | − | 0.808411i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 22.5571 | − | 27.0540i | 0.776449 | − | 0.931236i | ||||
\(845\) | −0.561553 | −0.0193180 | ||||||||
\(846\) | 22.0313 | − | 10.3153i | 0.757451 | − | 0.354649i | ||||
\(847\) | 24.6606 | + | 43.3567i | 0.847347 | + | 1.48975i | ||||
\(848\) | 3.05398 | + | 16.7080i | 0.104874 | + | 0.573756i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 18.7386 | − | 8.77368i | 0.642730 | − | 0.300935i | ||||
\(851\) | − | 9.89012i | − | 0.339029i | ||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | − | 15.7538i | − | 0.539399i | −0.962944 | − | 0.269700i | \(-0.913076\pi\) | ||
0.962944 | − | 0.269700i | \(-0.0869244\pi\) | |||||||
\(854\) | 1.83140 | − | 0.857484i | 0.0626691 | − | 0.0293425i | ||||
\(855\) | −8.77368 | −0.300053 | ||||||||
\(856\) | −6.96543 | − | 1.83140i | −0.238074 | − | 0.0625959i | ||||
\(857\) | − | 12.0000i | − | 0.409912i | −0.978771 | − | 0.204956i | \(-0.934295\pi\) | ||
0.978771 | − | 0.204956i | \(-0.0657052\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 40.6122i | 1.38567i | 0.721096 | + | 0.692835i | \(0.243638\pi\) | ||||
−0.721096 | + | 0.692835i | \(0.756362\pi\) | |||||||
\(860\) | −3.93481 | + | 4.71922i | −0.134176 | + | 0.160924i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 14.1771 | + | 30.2791i | 0.482873 | + | 1.03131i | ||||
\(863\) | 28.7339i | 0.978114i | 0.872252 | + | 0.489057i | \(0.162659\pi\) | ||||
−0.872252 | + | 0.489057i | \(0.837341\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 9.43845i | 0.320917i | ||||||||
\(866\) | 7.82816 | + | 16.7192i | 0.266012 | + | 0.568142i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −52.9839 | − | 44.1771i | −1.79839 | − | 1.49947i | ||||
\(869\) | −7.12311 | + | 12.2462i | −0.241635 | + | 0.415424i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −10.1530 | −0.344023 | ||||||||
\(872\) | −1.43845 | + | 5.47091i | −0.0487120 | + | 0.185268i | ||||
\(873\) | 36.7386 | 1.24341 | ||||||||
\(874\) | −8.00000 | + | 3.74571i | −0.270604 | + | 0.126700i | ||||
\(875\) | 24.6606 | 0.833679 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | − | 55.6155i | − | 1.87800i | −0.343913 | − | 0.939001i | \(-0.611753\pi\) | ||
0.343913 | − | 0.939001i | \(-0.388247\pi\) | |||||||
\(878\) | 5.75379 | + | 12.2888i | 0.194181 | + | 0.414728i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −7.00825 | − | 2.52676i | −0.236248 | − | 0.0851771i | ||||
\(881\) | 7.43845 | 0.250608 | 0.125304 | − | 0.992118i | \(-0.460009\pi\) | ||||
0.125304 | + | 0.992118i | \(0.460009\pi\) | |||||||
\(882\) | −24.3976 | − | 52.1080i | −0.821511 | − | 1.75457i | ||||
\(883\) | − | 11.4677i | − | 0.385918i | −0.981207 | − | 0.192959i | \(-0.938192\pi\) | ||
0.981207 | − | 0.192959i | \(-0.0618084\pi\) | |||||||
\(884\) | 4.00000 | − | 4.79741i | 0.134535 | − | 0.161354i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −43.3891 | + | 20.3153i | −1.45768 | + | 0.682507i | ||||
\(887\) | −32.5949 | −1.09443 | −0.547215 | − | 0.836992i | \(-0.684312\pi\) | ||||
−0.547215 | + | 0.836992i | \(0.684312\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −44.8466 | −1.50411 | ||||||||
\(890\) | 0.673500 | + | 1.43845i | 0.0225758 | + | 0.0482169i | ||||
\(891\) | 15.0081 | − | 25.8023i | 0.502790 | − | 0.864409i | ||||
\(892\) | −35.8617 | − | 29.9009i | −1.20074 | − | 1.00116i | ||||
\(893\) | − | 29.8617i | − | 0.999285i | ||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | − | 7.95253i | − | 0.265824i | ||||||
\(896\) | −3.91146 | + | 51.1525i | −0.130673 | + | 1.70889i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −18.9591 | − | 40.4924i | −0.632673 | − | 1.35125i | ||||
\(899\) | −43.2414 | −1.44218 | ||||||||
\(900\) | 18.0000 | − | 21.5884i | 0.600000 | − | 0.719612i | ||||
\(901\) | 13.2614i | 0.441800i | ||||||||
\(902\) | −3.56636 | + | 39.9986i | −0.118747 | + | 1.33181i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 21.0210 | + | 5.52699i | 0.699149 | + | 0.183825i | ||||
\(905\) | 0.984845 | 0.0327374 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | − | 22.7048i | − | 0.753900i | −0.926234 | − | 0.376950i | \(-0.876973\pi\) | ||
0.926234 | − | 0.376950i | \(-0.123027\pi\) | |||||||
\(908\) | −20.0108 | + | 24.0000i | −0.664081 | + | 0.796468i | ||||
\(909\) | 39.3693i | 1.30580i | ||||||||
\(910\) | 3.26131 | − | 1.52699i | 0.108111 | − | 0.0506191i | ||||
\(911\) | − | 58.4548i | − | 1.93669i | −0.249607 | − | 0.968347i | \(-0.580301\pi\) | ||
0.249607 | − | 0.968347i | \(-0.419699\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 5.56155 | − | 9.56155i | 0.184061 | − | 0.316441i | ||||
\(914\) | −34.9654 | + | 16.3713i | −1.15655 | + | 0.541514i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −6.65009 | + | 7.97581i | −0.219725 | + | 0.263528i | ||||
\(917\) | −72.0388 | −2.37893 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 10.7113 | 0.353332 | 0.176666 | − | 0.984271i | \(-0.443469\pi\) | ||||
0.176666 | + | 0.984271i | \(0.443469\pi\) | |||||||
\(920\) | −0.484397 | + | 1.84233i | −0.0159701 | + | 0.0607398i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 30.2462 | − | 14.1617i | 0.996106 | − | 0.466390i | ||||
\(923\) | −0.410574 | −0.0135142 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 38.6307 | 1.27017 | ||||||||
\(926\) | 36.4235 | − | 17.0540i | 1.19695 | − | 0.560428i | ||||
\(927\) | − | 25.1864i | − | 0.827230i | ||||||
\(928\) | 18.6501 | + | 26.1967i | 0.612219 | + | 0.859947i | ||||
\(929\) | −23.1231 | −0.758644 | −0.379322 | − | 0.925265i | \(-0.623843\pi\) | ||||
−0.379322 | + | 0.925265i | \(0.623843\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −70.6284 | −2.31475 | ||||||||
\(932\) | −14.0140 | − | 11.6847i | −0.459045 | − | 0.382744i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −29.0798 | + | 13.6155i | −0.951519 | + | 0.445514i | ||||
\(935\) | −5.02797 | − | 2.92456i | −0.164432 | − | 0.0956433i | ||||
\(936\) | 2.15767 | − | 8.20637i | 0.0705257 | − | 0.268233i | ||||
\(937\) | 5.12311i | 0.167365i | 0.996492 | + | 0.0836823i | \(0.0266681\pi\) | ||||
−0.996492 | + | 0.0836823i | \(0.973332\pi\) | |||||||
\(938\) | 58.9654 | − | 27.6084i | 1.92529 | − | 0.901446i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −4.94602 | − | 4.12391i | −0.161322 | − | 0.134507i | ||||
\(941\) | 2.49242i | 0.0812507i | 0.999174 | + | 0.0406253i | \(0.0129350\pi\) | ||||
−0.999174 | + | 0.0406253i | \(0.987065\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 10.2683 | 0.334383 | ||||||||
\(944\) | −17.8423 | + | 3.26131i | −0.580718 | + | 0.106147i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −25.5595 | − | 2.27894i | −0.831009 | − | 0.0740947i | ||||
\(947\) | − | 1.75757i | − | 0.0571135i | −0.999592 | − | 0.0285567i | \(-0.990909\pi\) | ||
0.999592 | − | 0.0285567i | \(-0.00909113\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 14.8078 | 0.480680 | ||||||||
\(950\) | −14.6307 | − | 31.2479i | −0.474682 | − | 1.01382i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −10.1854 | + | 38.7386i | −0.330111 | + | 1.25553i | ||||
\(953\) | − | 22.2462i | − | 0.720625i | −0.932832 | − | 0.360313i | \(-0.882670\pi\) | ||
0.932832 | − | 0.360313i | \(-0.117330\pi\) | |||||||
\(954\) | 7.63906 | + | 16.3153i | 0.247324 | + | 0.528229i | ||||
\(955\) | − | 0.968794i | − | 0.0313494i | ||||||
\(956\) | −2.73546 | + | 3.28078i | −0.0884710 | + | 0.106108i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −6.08854 | − | 13.0038i | −0.196712 | − | 0.420133i | ||||
\(959\) | 96.8988 | 3.12903 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −26.8617 | −0.866508 | ||||||||
\(962\) | 10.5616 | − | 4.94506i | 0.340518 | − | 0.159435i | ||||
\(963\) | −7.63906 | −0.246165 | ||||||||
\(964\) | 3.82862 | + | 3.19224i | 0.123311 | + | 0.102815i | ||||
\(965\) | − | 2.38447i | − | 0.0767589i | ||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 28.0604 | 0.902362 | 0.451181 | − | 0.892432i | \(-0.351003\pi\) | ||||
0.451181 | + | 0.892432i | \(0.351003\pi\) | |||||||
\(968\) | −7.99974 | − | 30.0667i | −0.257121 | − | 0.966379i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −4.12391 | − | 8.80776i | −0.132411 | − | 0.282800i | ||||
\(971\) | 22.9354i | 0.736030i | 0.929820 | + | 0.368015i | \(0.119963\pi\) | ||||
−0.929820 | + | 0.368015i | \(0.880037\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −79.8617 | −2.56025 | ||||||||
\(974\) | 22.0313 | − | 10.3153i | 0.705928 | − | 0.330525i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −1.24081 | + | 0.226801i | −0.0397173 | + | 0.00725973i | ||||
\(977\) | −48.8769 | −1.56371 | −0.781855 | − | 0.623460i | \(-0.785726\pi\) | ||||
−0.781855 | + | 0.623460i | \(0.785726\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −3.33513 | + | 5.73384i | −0.106591 | + | 0.183254i | ||||
\(980\) | −9.75379 | + | 11.6982i | −0.311573 | + | 0.373686i | ||||
\(981\) | 6.00000i | 0.191565i | ||||||||
\(982\) | 1.84233 | + | 3.93481i | 0.0587911 | + | 0.125565i | ||||
\(983\) | 12.9300i | 0.412402i | 0.978510 | + | 0.206201i | \(0.0661100\pi\) | ||||
−0.978510 | + | 0.206201i | \(0.933890\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 3.01515i | 0.0960708i | ||||||||
\(986\) | 10.6465 | + | 22.7386i | 0.339055 | + | 0.724146i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −8.00000 | − | 6.67026i | −0.254514 | − | 0.212209i | ||||
\(989\) | 6.56155i | 0.208645i | ||||||||
\(990\) | −7.87053 | − | 0.701754i | −0.250142 | − | 0.0223032i | ||||
\(991\) | 35.6024i | 1.13095i | 0.824767 | + | 0.565473i | \(0.191307\pi\) | ||||
−0.824767 | + | 0.565473i | \(0.808693\pi\) | |||||||
\(992\) | 24.9559 | + | 35.0540i | 0.792349 | + | 1.11296i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 2.38447 | − | 1.11644i | 0.0756309 | − | 0.0354114i | ||||
\(995\) | 3.36750i | 0.106757i | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | − | 38.4233i | − | 1.21688i | −0.793601 | − | 0.608439i | \(-0.791796\pi\) | ||
0.793601 | − | 0.608439i | \(-0.208204\pi\) | |||||||
\(998\) | 13.6773 | − | 6.40388i | 0.432947 | − | 0.202711i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 572.2.e.a.131.3 | ✓ | 8 | |
4.3 | odd | 2 | inner | 572.2.e.a.131.5 | yes | 8 | |
11.10 | odd | 2 | inner | 572.2.e.a.131.6 | yes | 8 | |
44.43 | even | 2 | inner | 572.2.e.a.131.4 | yes | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
572.2.e.a.131.3 | ✓ | 8 | 1.1 | even | 1 | trivial | |
572.2.e.a.131.4 | yes | 8 | 44.43 | even | 2 | inner | |
572.2.e.a.131.5 | yes | 8 | 4.3 | odd | 2 | inner | |
572.2.e.a.131.6 | yes | 8 | 11.10 | odd | 2 | inner |