Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [504,2,Mod(19,504)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(504, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("504.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 504 = 2^{3} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 504.bk (of order \(6\), 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: | \(4.02446026187\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{6})\) |
Coefficient field: | 12.0.144054149089536.2 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 3x^{11} + x^{9} + 48x^{8} - 189x^{7} + 431x^{6} - 654x^{5} + 624x^{4} - 340x^{3} + 96x^{2} - 12x + 4 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{2} \) |
Twist minimal: | no (minimal twist has level 56) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 19.2 | ||
Root | \(2.00233 + 0.854000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 504.19 |
Dual form | 504.2.bk.a.451.1 |
$q$-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 \(\left(\mathbb{Z}/504\mathbb{Z}\right)^\times\).
\(n\) | \(73\) | \(127\) | \(253\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.13090 | + | 0.849154i | −0.799668 | + | 0.600443i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.557875 | − | 1.92062i | 0.278937 | − | 0.960309i | ||||
\(5\) | 1.59713 | − | 2.76632i | 0.714260 | − | 1.23714i | −0.248984 | − | 0.968508i | \(-0.580097\pi\) |
0.963244 | − | 0.268628i | \(-0.0865701\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.694153 | − | 2.55307i | −0.262365 | − | 0.964969i | ||||
\(8\) | 1.00000 | + | 2.64575i | 0.353553 | + | 0.935414i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.542829 | + | 4.48465i | 0.171658 | + | 1.41817i | ||||
\(11\) | −0.800840 | − | 1.38709i | −0.241462 | − | 0.418225i | 0.719669 | − | 0.694318i | \(-0.244294\pi\) |
−0.961131 | + | 0.276093i | \(0.910960\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.38831 | 0.385047 | 0.192523 | − | 0.981292i | \(-0.438333\pi\) | ||||
0.192523 | + | 0.981292i | \(0.438333\pi\) | |||||||
\(14\) | 2.95297 | + | 2.29782i | 0.789213 | + | 0.614119i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.37755 | − | 2.14293i | −0.844388 | − | 0.535732i | ||||
\(17\) | −3.48605 | + | 2.01267i | −0.845490 | + | 0.488144i | −0.859127 | − | 0.511763i | \(-0.828993\pi\) |
0.0136363 | + | 0.999907i | \(0.495659\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −4.56957 | − | 2.63824i | −1.04833 | − | 0.605255i | −0.126150 | − | 0.992011i | \(-0.540262\pi\) |
−0.922182 | + | 0.386756i | \(0.873595\pi\) | |||||||
\(20\) | −4.42204 | − | 4.61075i | −0.988799 | − | 1.03099i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 2.08353 | + | 0.888631i | 0.444210 | + | 0.189457i | ||||
\(23\) | −3.83044 | − | 2.21151i | −0.798702 | − | 0.461131i | 0.0443149 | − | 0.999018i | \(-0.485890\pi\) |
−0.843017 | + | 0.537887i | \(0.819223\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −2.60168 | − | 4.50624i | −0.520336 | − | 0.901248i | ||||
\(26\) | −1.57004 | + | 1.17889i | −0.307910 | + | 0.231199i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −5.29072 | − | 0.0910883i | −0.999852 | − | 0.0172141i | ||||
\(29\) | 5.10613i | 0.948185i | 0.880475 | + | 0.474093i | \(0.157224\pi\) | ||||
−0.880475 | + | 0.474093i | \(0.842776\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.0579809 | + | 0.100426i | 0.0104137 | + | 0.0180370i | 0.871185 | − | 0.490954i | \(-0.163352\pi\) |
−0.860772 | + | 0.508991i | \(0.830018\pi\) | |||||||
\(32\) | 5.63935 | − | 0.444621i | 0.996906 | − | 0.0785986i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 2.23331 | − | 5.23632i | 0.383009 | − | 0.898022i | ||||
\(35\) | −8.17125 | − | 2.15734i | −1.38119 | − | 0.364658i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 4.63087 | + | 2.67363i | 0.761310 | + | 0.439543i | 0.829766 | − | 0.558111i | \(-0.188474\pi\) |
−0.0684556 | + | 0.997654i | \(0.521807\pi\) | |||||||
\(38\) | 7.40801 | − | 0.896678i | 1.20174 | − | 0.145460i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 8.91613 | + | 1.45930i | 1.40976 | + | 0.230736i | ||||
\(41\) | − | 4.21689i | − | 0.658568i | −0.944231 | − | 0.329284i | \(-0.893193\pi\) | ||
0.944231 | − | 0.329284i | \(-0.106807\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(44\) | −3.11085 | + | 0.764282i | −0.468978 | + | 0.115220i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 6.20976 | − | 0.751640i | 0.915579 | − | 0.110823i | ||||
\(47\) | 5.05821 | − | 8.76108i | 0.737816 | − | 1.27794i | −0.215660 | − | 0.976468i | \(-0.569190\pi\) |
0.953477 | − | 0.301467i | \(-0.0974763\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −6.03630 | + | 3.54444i | −0.862329 | + | 0.506348i | ||||
\(50\) | 6.76873 | + | 2.88689i | 0.957244 | + | 0.408267i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.774501 | − | 2.66641i | 0.107404 | − | 0.369764i | ||||
\(53\) | 6.13514 | − | 3.54212i | 0.842726 | − | 0.486548i | −0.0154638 | − | 0.999880i | \(-0.504922\pi\) |
0.858190 | + | 0.513332i | \(0.171589\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −5.11619 | −0.689868 | ||||||||
\(56\) | 6.06063 | − | 4.38962i | 0.809885 | − | 0.586588i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −4.33589 | − | 5.77453i | −0.569331 | − | 0.758233i | ||||
\(59\) | 4.38856 | − | 2.53374i | 0.571342 | − | 0.329865i | −0.186343 | − | 0.982485i | \(-0.559664\pi\) |
0.757685 | + | 0.652620i | \(0.226330\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 4.21321 | − | 7.29750i | 0.539447 | − | 0.934349i | −0.459487 | − | 0.888184i | \(-0.651967\pi\) |
0.998934 | − | 0.0461646i | \(-0.0146999\pi\) | |||||||
\(62\) | −0.150848 | − | 0.0643370i | −0.0191577 | − | 0.00817081i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −6.00000 | + | 5.29150i | −0.750000 | + | 0.661438i | ||||
\(65\) | 2.21731 | − | 3.84050i | 0.275024 | − | 0.476355i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 5.01815 | + | 8.69169i | 0.613065 | + | 1.06186i | 0.990721 | + | 0.135913i | \(0.0433969\pi\) |
−0.377656 | + | 0.925946i | \(0.623270\pi\) | |||||||
\(68\) | 1.92079 | + | 7.81818i | 0.232930 | + | 0.948094i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 11.0728 | − | 4.49891i | 1.32345 | − | 0.537723i | ||||
\(71\) | − | 5.29150i | − | 0.627986i | −0.949425 | − | 0.313993i | \(-0.898333\pi\) | ||
0.949425 | − | 0.313993i | \(-0.101667\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 9.30504 | − | 5.37227i | 1.08907 | − | 0.628776i | 0.155743 | − | 0.987798i | \(-0.450223\pi\) |
0.933329 | + | 0.359021i | \(0.116890\pi\) | |||||||
\(74\) | −7.50738 | + | 0.908707i | −0.872716 | + | 0.105635i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −7.61631 | + | 7.30460i | −0.873651 | + | 0.837895i | ||||
\(77\) | −2.98544 | + | 3.00745i | −0.340223 | + | 0.342731i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −10.3349 | − | 5.96688i | −1.16277 | − | 0.671327i | −0.210805 | − | 0.977528i | \(-0.567609\pi\) |
−0.951967 | + | 0.306201i | \(0.900942\pi\) | |||||||
\(80\) | −11.3224 | + | 5.92084i | −1.26589 | + | 0.661970i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 3.58079 | + | 4.76889i | 0.395432 | + | 0.526636i | ||||
\(83\) | 14.9789i | 1.64415i | 0.569382 | + | 0.822073i | \(0.307182\pi\) | ||||
−0.569382 | + | 0.822073i | \(0.692818\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 12.8580i | 1.39465i | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 2.86907 | − | 3.50592i | 0.305844 | − | 0.373732i | ||||
\(89\) | −1.50000 | − | 0.866025i | −0.159000 | − | 0.0917985i | 0.418389 | − | 0.908268i | \(-0.362595\pi\) |
−0.577389 | + | 0.816469i | \(0.695928\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.963697 | − | 3.54444i | −0.101023 | − | 0.371558i | ||||
\(92\) | −6.38437 | + | 6.12307i | −0.665616 | + | 0.638375i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 1.71917 | + | 14.2031i | 0.177319 | + | 1.46494i | ||||
\(95\) | −14.5965 | + | 8.42726i | −1.49756 | + | 0.864619i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 2.87198i | 0.291606i | 0.989314 | + | 0.145803i | \(0.0465765\pi\) | ||||
−0.989314 | + | 0.145803i | \(0.953423\pi\) | |||||||
\(98\) | 3.81669 | − | 9.13416i | 0.385544 | − | 0.922690i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −10.1062 | + | 2.48292i | −1.01062 | + | 0.248292i | ||||
\(101\) | −3.40310 | − | 5.89434i | −0.338621 | − | 0.586509i | 0.645553 | − | 0.763716i | \(-0.276627\pi\) |
−0.984174 | + | 0.177207i | \(0.943294\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 7.02471 | − | 12.1672i | 0.692165 | − | 1.19887i | −0.278962 | − | 0.960302i | \(-0.589990\pi\) |
0.971127 | − | 0.238563i | \(-0.0766765\pi\) | |||||||
\(104\) | 1.38831 | + | 3.67311i | 0.136135 | + | 0.360178i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −3.93043 | + | 9.21547i | −0.381757 | + | 0.895086i | ||||
\(107\) | −2.56957 | + | 4.45063i | −0.248410 | + | 0.430259i | −0.963085 | − | 0.269198i | \(-0.913241\pi\) |
0.714675 | + | 0.699457i | \(0.246575\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 2.45182 | − | 1.41556i | 0.234842 | − | 0.135586i | −0.377962 | − | 0.925821i | \(-0.623375\pi\) |
0.612804 | + | 0.790235i | \(0.290042\pi\) | |||||||
\(110\) | 5.78591 | − | 4.34444i | 0.551665 | − | 0.414226i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −3.12650 | + | 10.1106i | −0.295427 | + | 0.955365i | ||||
\(113\) | 1.43695 | 0.135177 | 0.0675887 | − | 0.997713i | \(-0.478469\pi\) | ||||
0.0675887 | + | 0.997713i | \(0.478469\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −12.2355 | + | 7.06415i | −1.14096 | + | 0.658735i | ||||
\(116\) | 9.80694 | + | 2.84858i | 0.910551 | + | 0.264484i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −2.81150 | + | 6.59198i | −0.258819 | + | 0.606841i | ||||
\(119\) | 7.55833 | + | 7.50301i | 0.692871 | + | 0.687800i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.21731 | − | 7.30460i | 0.383392 | − | 0.664054i | ||||
\(122\) | 1.43197 | + | 11.8304i | 0.129645 | + | 1.07108i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0.225226 | − | 0.0553342i | 0.0202259 | − | 0.00496916i | ||||
\(125\) | −0.649581 | −0.0581003 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | − | 4.92077i | − | 0.436647i | −0.975876 | − | 0.218324i | \(-0.929941\pi\) | ||
0.975876 | − | 0.218324i | \(-0.0700589\pi\) | |||||||
\(128\) | 2.29211 | − | 11.0791i | 0.202595 | − | 0.979263i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.753613 | + | 6.22606i | 0.0660962 | + | 0.546062i | ||||
\(131\) | 3.41647 | + | 1.97250i | 0.298499 | + | 0.172338i | 0.641768 | − | 0.766899i | \(-0.278201\pi\) |
−0.343270 | + | 0.939237i | \(0.611534\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −3.56363 | + | 13.4978i | −0.309006 | + | 1.17041i | ||||
\(134\) | −13.0556 | − | 5.56826i | −1.12783 | − | 0.481025i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −8.81107 | − | 7.21054i | −0.755543 | − | 0.618299i | ||||
\(137\) | −0.0514223 | − | 0.0890661i | −0.00439331 | − | 0.00760943i | 0.863820 | − | 0.503800i | \(-0.168065\pi\) |
−0.868214 | + | 0.496190i | \(0.834732\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 14.9789i | 1.27049i | 0.772310 | + | 0.635246i | \(0.219101\pi\) | ||||
−0.772310 | + | 0.635246i | \(0.780899\pi\) | |||||||
\(140\) | −8.70197 | + | 14.4903i | −0.735451 | + | 1.22466i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 4.49330 | + | 5.98417i | 0.377069 | + | 0.502180i | ||||
\(143\) | −1.11181 | − | 1.92571i | −0.0929743 | − | 0.161036i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 14.1252 | + | 8.15518i | 1.17303 | + | 0.677251i | ||||
\(146\) | −5.96120 | + | 13.9769i | −0.493352 | + | 1.15674i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 7.71848 | − | 7.40258i | 0.634455 | − | 0.608489i | ||||
\(149\) | 9.79164 | + | 5.65320i | 0.802162 | + | 0.463129i | 0.844227 | − | 0.535986i | \(-0.180060\pi\) |
−0.0420645 | + | 0.999115i | \(0.513393\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −12.8351 | + | 7.41032i | −1.04450 | + | 0.603044i | −0.921105 | − | 0.389314i | \(-0.872712\pi\) |
−0.123397 | + | 0.992357i | \(0.539379\pi\) | |||||||
\(152\) | 2.41057 | − | 14.7282i | 0.195523 | − | 1.19461i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0.822447 | − | 5.93623i | 0.0662747 | − | 0.478355i | ||||
\(155\) | 0.370413 | 0.0297523 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 0.369362 | + | 0.639755i | 0.0294783 | + | 0.0510580i | 0.880388 | − | 0.474254i | \(-0.157282\pi\) |
−0.850910 | + | 0.525312i | \(0.823949\pi\) | |||||||
\(158\) | 16.7546 | − | 2.02801i | 1.33292 | − | 0.161339i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 7.77685 | − | 16.3104i | 0.614814 | − | 1.28945i | ||||
\(161\) | −2.98721 | + | 11.3145i | −0.235425 | + | 0.891707i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 4.35226 | − | 7.53834i | 0.340895 | − | 0.590448i | −0.643704 | − | 0.765275i | \(-0.722603\pi\) |
0.984599 | + | 0.174826i | \(0.0559364\pi\) | |||||||
\(164\) | −8.09904 | − | 2.35250i | −0.632429 | − | 0.183699i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −12.7194 | − | 16.9396i | −0.987215 | − | 1.31477i | ||||
\(167\) | −1.38831 | −0.107430 | −0.0537152 | − | 0.998556i | \(-0.517106\pi\) | ||||
−0.0537152 | + | 0.998556i | \(0.517106\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −11.0726 | −0.851739 | ||||||||
\(170\) | −10.9184 | − | 14.5411i | −0.837406 | − | 1.11526i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 0.485324 | − | 0.840606i | 0.0368985 | − | 0.0639101i | −0.846986 | − | 0.531615i | \(-0.821586\pi\) |
0.883885 | + | 0.467704i | \(0.154919\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −9.69877 | + | 9.77028i | −0.733158 | + | 0.738564i | ||||
\(176\) | −0.267569 | + | 6.40113i | −0.0201688 | + | 0.482503i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 2.43174 | − | 0.294342i | 0.182267 | − | 0.0220619i | ||||
\(179\) | −7.13495 | − | 12.3581i | −0.533291 | − | 0.923687i | −0.999244 | − | 0.0388779i | \(-0.987622\pi\) |
0.465953 | − | 0.884810i | \(-0.345712\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 15.3218 | 1.13886 | 0.569429 | − | 0.822041i | \(-0.307164\pi\) | ||||
0.569429 | + | 0.822041i | \(0.307164\pi\) | |||||||
\(182\) | 4.09962 | + | 3.19008i | 0.303884 | + | 0.236465i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 2.02065 | − | 12.3459i | 0.148965 | − | 0.910152i | ||||
\(185\) | 14.7922 | − | 8.54031i | 1.08755 | − | 0.627896i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 5.58353 | + | 3.22365i | 0.408308 | + | 0.235737i | ||||
\(188\) | −14.0049 | − | 14.6025i | −1.02141 | − | 1.06500i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 9.35110 | − | 21.9250i | 0.678400 | − | 1.59061i | ||||
\(191\) | 2.16564 | + | 1.25033i | 0.156700 | + | 0.0904709i | 0.576300 | − | 0.817238i | \(-0.304496\pi\) |
−0.419599 | + | 0.907709i | \(0.637829\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 1.55026 | + | 2.68512i | 0.111590 | + | 0.193279i | 0.916411 | − | 0.400237i | \(-0.131072\pi\) |
−0.804822 | + | 0.593517i | \(0.797739\pi\) | |||||||
\(194\) | −2.43876 | − | 3.24793i | −0.175093 | − | 0.233188i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 3.44001 | + | 13.5708i | 0.245715 | + | 0.969342i | ||||
\(197\) | 15.6891i | 1.11780i | 0.829233 | + | 0.558902i | \(0.188777\pi\) | ||||
−0.829233 | + | 0.558902i | \(0.811223\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 5.91290 | + | 10.2414i | 0.419154 | + | 0.725997i | 0.995855 | − | 0.0909591i | \(-0.0289933\pi\) |
−0.576700 | + | 0.816956i | \(0.695660\pi\) | |||||||
\(200\) | 9.32071 | − | 11.3896i | 0.659074 | − | 0.805369i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 8.85377 | + | 3.77616i | 0.622949 | + | 0.265690i | ||||
\(203\) | 13.0363 | − | 3.54444i | 0.914969 | − | 0.248771i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −11.6653 | − | 6.73495i | −0.814738 | − | 0.470389i | ||||
\(206\) | 2.38754 | + | 19.7249i | 0.166348 | + | 1.37430i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −4.68908 | − | 2.97504i | −0.325129 | − | 0.206282i | ||||
\(209\) | 8.45124i | 0.584585i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 10.0726 | 0.693427 | 0.346713 | − | 0.937971i | \(-0.387298\pi\) | ||||
0.346713 | + | 0.937971i | \(0.387298\pi\) | |||||||
\(212\) | −3.38043 | − | 13.7593i | −0.232169 | − | 0.944994i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −0.873339 | − | 7.21519i | −0.0597002 | − | 0.493220i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0.216146 | − | 0.217740i | 0.0146730 | − | 0.0147812i | ||||
\(218\) | −1.57074 | + | 3.68283i | −0.106384 | + | 0.249433i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −2.85420 | + | 9.82626i | −0.192430 | + | 0.662486i | ||||
\(221\) | −4.83970 | + | 2.79420i | −0.325553 | + | 0.187958i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 24.3086 | 1.62783 | 0.813913 | − | 0.580987i | \(-0.197333\pi\) | ||||
0.813913 | + | 0.580987i | \(0.197333\pi\) | |||||||
\(224\) | −5.04972 | − | 14.0890i | −0.337399 | − | 0.941362i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −1.62505 | + | 1.22020i | −0.108097 | + | 0.0811662i | ||||
\(227\) | 12.4048 | − | 7.16194i | 0.823339 | − | 0.475355i | −0.0282277 | − | 0.999602i | \(-0.508986\pi\) |
0.851566 | + | 0.524247i | \(0.175653\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 5.32502 | − | 9.22321i | 0.351887 | − | 0.609487i | −0.634693 | − | 0.772765i | \(-0.718873\pi\) |
0.986580 | + | 0.163278i | \(0.0522066\pi\) | |||||||
\(230\) | 7.83855 | − | 18.3786i | 0.516859 | − | 1.21185i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −13.5096 | + | 5.10613i | −0.886946 | + | 0.335234i | ||||
\(233\) | −0.318991 | + | 0.552509i | −0.0208978 | + | 0.0361961i | −0.876285 | − | 0.481793i | \(-0.839986\pi\) |
0.855387 | + | 0.517989i | \(0.173319\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −16.1573 | − | 27.9853i | −1.05399 | − | 1.82556i | ||||
\(236\) | −2.41808 | − | 9.84227i | −0.157403 | − | 0.640677i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −14.9189 | − | 2.06697i | −0.967051 | − | 0.133982i | ||||
\(239\) | − | 4.73540i | − | 0.306307i | −0.988202 | − | 0.153154i | \(-0.951057\pi\) | ||
0.988202 | − | 0.153154i | \(-0.0489430\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −10.1380 | + | 5.85317i | −0.653045 | + | 0.377036i | −0.789622 | − | 0.613594i | \(-0.789723\pi\) |
0.136577 | + | 0.990629i | \(0.456390\pi\) | |||||||
\(242\) | 1.43337 | + | 11.8419i | 0.0921403 | + | 0.761228i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −11.6653 | − | 12.1631i | −0.746792 | − | 0.778661i | ||||
\(245\) | 0.164257 | + | 22.3593i | 0.0104940 | + | 1.42848i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −6.34397 | − | 3.66269i | −0.403657 | − | 0.233051i | ||||
\(248\) | −0.207721 | + | 0.253829i | −0.0131903 | + | 0.0161182i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0.734612 | − | 0.551594i | 0.0464609 | − | 0.0348859i | ||||
\(251\) | − | 11.5631i | − | 0.729858i | −0.931035 | − | 0.364929i | \(-0.881093\pi\) | ||
0.931035 | − | 0.364929i | \(-0.118907\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 7.08425i | 0.445383i | ||||||||
\(254\) | 4.17849 | + | 5.56490i | 0.262182 | + | 0.349173i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 6.81571 | + | 14.4757i | 0.425982 | + | 0.904732i | ||||
\(257\) | 20.4302 | + | 11.7954i | 1.27440 | + | 0.735777i | 0.975813 | − | 0.218605i | \(-0.0701506\pi\) |
0.298589 | + | 0.954382i | \(0.403484\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 3.61144 | − | 13.6788i | 0.224404 | − | 0.849961i | ||||
\(260\) | −6.13915 | − | 6.40113i | −0.380734 | − | 0.396981i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −5.53865 | + | 0.670408i | −0.342179 | + | 0.0414179i | ||||
\(263\) | −9.24833 | + | 5.33953i | −0.570277 | + | 0.329249i | −0.757260 | − | 0.653114i | \(-0.773462\pi\) |
0.186983 | + | 0.982363i | \(0.440129\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | − | 22.6290i | − | 1.39009i | ||||||
\(266\) | −7.43157 | − | 18.2907i | −0.455659 | − | 1.12148i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 19.4929 | − | 4.78908i | 1.19072 | − | 0.292540i | ||||
\(269\) | −11.6690 | − | 20.2113i | −0.711471 | − | 1.23230i | −0.964305 | − | 0.264794i | \(-0.914696\pi\) |
0.252834 | − | 0.967510i | \(-0.418637\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −6.81961 | + | 11.8119i | −0.414262 | + | 0.717522i | −0.995351 | − | 0.0963179i | \(-0.969293\pi\) |
0.581089 | + | 0.813840i | \(0.302627\pi\) | |||||||
\(272\) | 16.0873 | + | 0.672454i | 0.975436 | + | 0.0407735i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0.133784 | + | 0.0570595i | 0.00808221 | + | 0.00344709i | ||||
\(275\) | −4.16706 | + | 7.21755i | −0.251283 | + | 0.435235i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 0.396180 | − | 0.228735i | 0.0238042 | − | 0.0137433i | −0.488051 | − | 0.872815i | \(-0.662292\pi\) |
0.511855 | + | 0.859072i | \(0.328959\pi\) | |||||||
\(278\) | −12.7194 | − | 16.9396i | −0.762858 | − | 1.01597i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −2.46346 | − | 23.7764i | −0.147220 | − | 1.42091i | ||||
\(281\) | −1.43695 | −0.0857215 | −0.0428608 | − | 0.999081i | \(-0.513647\pi\) | ||||
−0.0428608 | + | 0.999081i | \(0.513647\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 27.0428 | − | 15.6132i | 1.60753 | − | 0.928108i | 0.617609 | − | 0.786486i | \(-0.288102\pi\) |
0.989921 | − | 0.141622i | \(-0.0452318\pi\) | |||||||
\(284\) | −10.1630 | − | 2.95200i | −0.603061 | − | 0.175169i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 2.89257 | + | 1.23369i | 0.171041 | + | 0.0729497i | ||||
\(287\) | −10.7660 | + | 2.92717i | −0.635497 | + | 0.172785i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −0.398321 | + | 0.689912i | −0.0234306 | + | 0.0405831i | ||||
\(290\) | −22.8992 | + | 2.77176i | −1.34469 | + | 0.162763i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −5.12703 | − | 20.8685i | −0.300037 | − | 1.22124i | ||||
\(293\) | 31.3006 | 1.82860 | 0.914299 | − | 0.405040i | \(-0.132742\pi\) | ||||
0.914299 | + | 0.405040i | \(0.132742\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | − | 16.1869i | − | 0.942437i | ||||||
\(296\) | −2.44290 | + | 14.9258i | −0.141991 | + | 0.867543i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −15.8738 | + | 1.92139i | −0.919545 | + | 0.111303i | ||||
\(299\) | −5.31783 | − | 3.07025i | −0.307538 | − | 0.177557i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 8.22268 | − | 19.2793i | 0.473162 | − | 1.10940i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 9.78040 | + | 18.7031i | 0.560944 | + | 1.07270i | ||||
\(305\) | −13.4581 | − | 23.3102i | −0.770611 | − | 1.33474i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 14.7215i | 0.840202i | 0.907477 | + | 0.420101i | \(0.138005\pi\) | ||||
−0.907477 | + | 0.420101i | \(0.861995\pi\) | |||||||
\(308\) | 4.11067 | + | 7.41168i | 0.234227 | + | 0.422319i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −0.418901 | + | 0.314538i | −0.0237920 | + | 0.0178646i | ||||
\(311\) | 7.79025 | + | 13.4931i | 0.441745 | + | 0.765124i | 0.997819 | − | 0.0660082i | \(-0.0210263\pi\) |
−0.556074 | + | 0.831133i | \(0.687693\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 11.3329 | + | 6.54308i | 0.640576 | + | 0.369837i | 0.784836 | − | 0.619703i | \(-0.212747\pi\) |
−0.144260 | + | 0.989540i | \(0.546080\pi\) | |||||||
\(314\) | −0.960963 | − | 0.409854i | −0.0542303 | − | 0.0231294i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −17.2257 | + | 16.5207i | −0.969022 | + | 0.929363i | ||||
\(317\) | −20.3971 | − | 11.7763i | −1.14562 | − | 0.661422i | −0.197801 | − | 0.980242i | \(-0.563380\pi\) |
−0.947815 | + | 0.318821i | \(0.896713\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 7.08269 | − | 4.08919i | 0.396555 | − | 0.228951i | ||||
\(320\) | 5.05517 | + | 25.0492i | 0.282593 | + | 1.40029i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −6.22951 | − | 15.3322i | −0.347157 | − | 0.854429i | ||||
\(323\) | 21.2397 | 1.18181 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −3.61193 | − | 6.25604i | −0.200354 | − | 0.347023i | ||||
\(326\) | 1.47923 | + | 12.2209i | 0.0819272 | + | 0.676851i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 11.1568 | − | 4.21689i | 0.616034 | − | 0.232839i | ||||
\(329\) | −25.8788 | − | 6.83243i | −1.42674 | − | 0.376684i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −16.5277 | + | 28.6268i | −0.908445 | + | 1.57347i | −0.0922207 | + | 0.995739i | \(0.529397\pi\) |
−0.816225 | + | 0.577735i | \(0.803937\pi\) | |||||||
\(332\) | 28.7687 | + | 8.35634i | 1.57889 | + | 0.458614i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 1.57004 | − | 1.17889i | 0.0859086 | − | 0.0645058i | ||||
\(335\) | 32.0587 | 1.75155 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −15.5096 | −0.844860 | −0.422430 | − | 0.906396i | \(-0.638823\pi\) | ||||
−0.422430 | + | 0.906396i | \(0.638823\pi\) | |||||||
\(338\) | 12.5220 | − | 9.40235i | 0.681108 | − | 0.511420i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 24.6954 | + | 7.17316i | 1.33929 | + | 0.389019i | ||||
\(341\) | 0.0928668 | − | 0.160850i | 0.00502902 | − | 0.00871052i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 13.2393 | + | 12.9507i | 0.714855 | + | 0.699272i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0.164951 | + | 1.36276i | 0.00886780 | + | 0.0732623i | ||||
\(347\) | 11.2494 | + | 19.4846i | 0.603900 | + | 1.04599i | 0.992224 | + | 0.124463i | \(0.0397209\pi\) |
−0.388324 | + | 0.921523i | \(0.626946\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −28.4735 | −1.52415 | −0.762077 | − | 0.647486i | \(-0.775820\pi\) | ||||
−0.762077 | + | 0.647486i | \(0.775820\pi\) | |||||||
\(350\) | 2.67188 | − | 19.2850i | 0.142818 | − | 1.03083i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −5.13295 | − | 7.46625i | −0.273587 | − | 0.397952i | ||||
\(353\) | 8.29108 | − | 4.78686i | 0.441290 | − | 0.254779i | −0.262855 | − | 0.964835i | \(-0.584664\pi\) |
0.704145 | + | 0.710057i | \(0.251331\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −14.6380 | − | 8.45124i | −0.776903 | − | 0.448545i | ||||
\(356\) | −2.50012 | + | 2.39779i | −0.132506 | + | 0.127083i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 18.5629 | + | 7.91711i | 0.981077 | + | 0.418432i | ||||
\(359\) | 3.25225 | + | 1.87769i | 0.171647 | + | 0.0991006i | 0.583362 | − | 0.812212i | \(-0.301737\pi\) |
−0.411715 | + | 0.911313i | \(0.635070\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 4.42067 | + | 7.65683i | 0.232667 | + | 0.402991i | ||||
\(362\) | −17.3274 | + | 13.0105i | −0.910708 | + | 0.683819i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −7.34514 | − | 0.126458i | −0.384990 | − | 0.00662822i | ||||
\(365\) | − | 34.3209i | − | 1.79644i | ||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −8.41302 | − | 14.5718i | −0.439156 | − | 0.760640i | 0.558469 | − | 0.829526i | \(-0.311389\pi\) |
−0.997625 | + | 0.0688852i | \(0.978056\pi\) | |||||||
\(368\) | 8.19841 | + | 15.6778i | 0.427372 | + | 0.817264i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −9.47653 | + | 22.2191i | −0.492661 | + | 1.15512i | ||||
\(371\) | −13.3020 | − | 13.2046i | −0.690606 | − | 0.685551i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −11.1354 | − | 6.42901i | −0.576568 | − | 0.332882i | 0.183200 | − | 0.983076i | \(-0.441354\pi\) |
−0.759768 | + | 0.650194i | \(0.774688\pi\) | |||||||
\(374\) | −9.05179 | + | 1.09564i | −0.468057 | + | 0.0566544i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 28.2379 | + | 4.62169i | 1.45626 | + | 0.238346i | ||||
\(377\) | 7.08888i | 0.365096i | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 25.5822 | 1.31407 | 0.657034 | − | 0.753861i | \(-0.271811\pi\) | ||||
0.657034 | + | 0.753861i | \(0.271811\pi\) | |||||||
\(380\) | 8.04257 | + | 32.7356i | 0.412575 | + | 1.67930i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −3.51085 | + | 0.424959i | −0.179631 | + | 0.0217428i | ||||
\(383\) | −13.4846 | + | 23.3561i | −0.689033 | + | 1.19344i | 0.283118 | + | 0.959085i | \(0.408631\pi\) |
−0.972151 | + | 0.234355i | \(0.924702\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 3.55142 | + | 13.0620i | 0.180997 | + | 0.665701i | ||||
\(386\) | −4.03327 | − | 1.72020i | −0.205288 | − | 0.0875560i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 5.51599 | + | 1.60221i | 0.280032 | + | 0.0813398i | ||||
\(389\) | −27.7043 | + | 15.9951i | −1.40466 | + | 0.810983i | −0.994867 | − | 0.101195i | \(-0.967734\pi\) |
−0.409796 | + | 0.912177i | \(0.634400\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 17.8041 | 0.900394 | ||||||||
\(392\) | −15.4140 | − | 12.4261i | −0.778525 | − | 0.627614i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −13.3225 | − | 17.7429i | −0.671178 | − | 0.893873i | ||||
\(395\) | −33.0126 | + | 19.0598i | −1.66104 | + | 0.959004i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −8.51929 | + | 14.7558i | −0.427571 | + | 0.740575i | −0.996657 | − | 0.0817035i | \(-0.973964\pi\) |
0.569086 | + | 0.822278i | \(0.307297\pi\) | |||||||
\(398\) | −15.3835 | − | 6.56110i | −0.771104 | − | 0.328878i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −0.869248 | + | 20.7953i | −0.0434624 | + | 1.03976i | ||||
\(401\) | −2.94858 | + | 5.10709i | −0.147245 | + | 0.255036i | −0.930208 | − | 0.367032i | \(-0.880374\pi\) |
0.782963 | + | 0.622068i | \(0.213707\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0.0804953 | + | 0.139422i | 0.00400976 | + | 0.00694510i | ||||
\(404\) | −13.2193 | + | 3.24775i | −0.657684 | + | 0.161582i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −11.7330 | + | 15.0782i | −0.582299 | + | 0.748320i | ||||
\(407\) | − | 8.56461i | − | 0.424532i | ||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −0.207751 | + | 0.119945i | −0.0102726 | + | 0.00593090i | −0.505128 | − | 0.863045i | \(-0.668555\pi\) |
0.494855 | + | 0.868976i | \(0.335221\pi\) | |||||||
\(410\) | 18.9113 | − | 2.28905i | 0.933961 | − | 0.113048i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −19.4496 | − | 20.2795i | −0.958211 | − | 0.999101i | ||||
\(413\) | −9.51514 | − | 9.44550i | −0.468210 | − | 0.464783i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 41.4364 | + | 23.9233i | 2.03403 | + | 1.17435i | ||||
\(416\) | 7.82915 | − | 0.617270i | 0.383856 | − | 0.0302641i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −7.17641 | − | 9.55752i | −0.351010 | − | 0.467474i | ||||
\(419\) | 29.4140i | 1.43697i | 0.695544 | + | 0.718484i | \(0.255163\pi\) | ||||
−0.695544 | + | 0.718484i | \(0.744837\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | − | 32.1265i | − | 1.56575i | −0.622180 | − | 0.782874i | \(-0.713753\pi\) | ||
0.622180 | − | 0.782874i | \(-0.286247\pi\) | |||||||
\(422\) | −11.3911 | + | 8.55319i | −0.554511 | + | 0.416363i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 15.5067 | + | 12.6899i | 0.753073 | + | 0.616277i | ||||
\(425\) | 18.1391 | + | 10.4726i | 0.879878 | + | 0.507998i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −21.5556 | − | 5.69103i | −1.04315 | − | 0.275408i | ||||
\(428\) | 7.11447 | + | 7.41807i | 0.343891 | + | 0.358566i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 32.7662 | − | 18.9176i | 1.57829 | − | 0.911228i | 0.583196 | − | 0.812332i | \(-0.301802\pi\) |
0.995098 | − | 0.0988962i | \(-0.0315312\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 25.4835i | − | 1.22466i | −0.790602 | − | 0.612330i | \(-0.790232\pi\) | ||
0.790602 | − | 0.612330i | \(-0.209768\pi\) | |||||||
\(434\) | −0.0595453 | + | 0.429784i | −0.00285827 | + | 0.0206303i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −1.35094 | − | 5.49872i | −0.0646984 | − | 0.263341i | ||||
\(437\) | 11.6690 | + | 20.2113i | 0.558204 | + | 0.966837i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −11.9804 | + | 20.7506i | −0.571792 | + | 0.990373i | 0.424590 | + | 0.905386i | \(0.360418\pi\) |
−0.996382 | + | 0.0849871i | \(0.972915\pi\) | |||||||
\(440\) | −5.11619 | − | 13.5362i | −0.243905 | − | 0.645312i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 3.10051 | − | 7.26962i | 0.147476 | − | 0.345780i | ||||
\(443\) | 5.13495 | − | 8.89399i | 0.243969 | − | 0.422566i | −0.717872 | − | 0.696175i | \(-0.754884\pi\) |
0.961841 | + | 0.273608i | \(0.0882172\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −4.79140 | + | 2.76632i | −0.227134 | + | 0.131136i | ||||
\(446\) | −27.4907 | + | 20.6418i | −1.30172 | + | 0.977416i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 17.6745 | + | 11.6453i | 0.835041 | + | 0.550188i | ||||
\(449\) | −11.5096 | −0.543170 | −0.271585 | − | 0.962414i | \(-0.587548\pi\) | ||||
−0.271585 | + | 0.962414i | \(0.587548\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −5.84923 | + | 3.37705i | −0.275429 | + | 0.159019i | ||||
\(452\) | 0.801641 | − | 2.75984i | 0.0377060 | − | 0.129812i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −7.94707 | + | 18.6331i | −0.372974 | + | 0.874494i | ||||
\(455\) | −11.3442 | − | 2.99505i | −0.531824 | − | 0.140410i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −15.3050 | + | 26.5091i | −0.715939 | + | 1.24004i | 0.246657 | + | 0.969103i | \(0.420668\pi\) |
−0.962596 | + | 0.270941i | \(0.912665\pi\) | |||||||
\(458\) | 1.80985 | + | 14.9523i | 0.0845689 | + | 0.698675i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 6.74168 | + | 27.4406i | 0.314332 | + | 1.27942i | ||||
\(461\) | −17.3671 | −0.808866 | −0.404433 | − | 0.914568i | \(-0.632531\pi\) | ||||
−0.404433 | + | 0.914568i | \(0.632531\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 21.7288i | 1.00983i | 0.863171 | + | 0.504913i | \(0.168475\pi\) | ||||
−0.863171 | + | 0.504913i | \(0.831525\pi\) | |||||||
\(464\) | 10.9421 | − | 17.2462i | 0.507973 | − | 0.800636i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −0.108418 | − | 0.895705i | −0.00502235 | − | 0.0414928i | ||||
\(467\) | 0.585859 | + | 0.338246i | 0.0271103 | + | 0.0156521i | 0.513494 | − | 0.858093i | \(-0.328351\pi\) |
−0.486384 | + | 0.873745i | \(0.661684\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 18.7071 | − | 18.8450i | 0.863814 | − | 0.870183i | ||||
\(470\) | 42.0361 | + | 17.9285i | 1.93898 | + | 0.826981i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 11.0922 | + | 9.07731i | 0.510560 | + | 0.417817i | ||||
\(473\) | 0 | 0 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 27.4555i | 1.25974i | ||||||||
\(476\) | 18.6270 | − | 10.3309i | 0.853768 | − | 0.473517i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 4.02108 | + | 5.35527i | 0.183920 | + | 0.244944i | ||||
\(479\) | −14.3839 | − | 24.9136i | −0.657217 | − | 1.13833i | −0.981333 | − | 0.192316i | \(-0.938400\pi\) |
0.324116 | − | 0.946017i | \(-0.394933\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 6.42907 | + | 3.71182i | 0.293140 | + | 0.169245i | ||||
\(482\) | 6.49482 | − | 15.2281i | 0.295831 | − | 0.693619i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −11.6766 | − | 12.1749i | −0.530755 | − | 0.553404i | ||||
\(485\) | 7.94483 | + | 4.58695i | 0.360756 | + | 0.208283i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −1.58745 | + | 0.916514i | −0.0719342 | + | 0.0415312i | −0.535536 | − | 0.844513i | \(-0.679890\pi\) |
0.463602 | + | 0.886044i | \(0.346557\pi\) | |||||||
\(488\) | 23.5206 | + | 3.84962i | 1.06473 | + | 0.174264i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −19.1722 | − | 25.1467i | −0.866113 | − | 1.13601i | ||||
\(491\) | −13.4370 | −0.606401 | −0.303201 | − | 0.952927i | \(-0.598055\pi\) | ||||
−0.303201 | + | 0.952927i | \(0.598055\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −10.2770 | − | 17.8002i | −0.462851 | − | 0.801682i | ||||
\(494\) | 10.2846 | − | 1.24486i | 0.462726 | − | 0.0560091i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0.0193720 | − | 0.463443i | 0.000869830 | − | 0.0208092i | ||||
\(497\) | −13.5096 | + | 3.67311i | −0.605987 | + | 0.164762i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 5.68404 | − | 9.84505i | 0.254453 | − | 0.440725i | −0.710294 | − | 0.703905i | \(-0.751438\pi\) |
0.964747 | + | 0.263180i | \(0.0847714\pi\) | |||||||
\(500\) | −0.362385 | + | 1.24760i | −0.0162063 | + | 0.0557943i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 9.81887 | + | 13.0767i | 0.438238 | + | 0.583644i | ||||
\(503\) | 13.2022 | 0.588656 | 0.294328 | − | 0.955704i | \(-0.404904\pi\) | ||||
0.294328 | + | 0.955704i | \(0.404904\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −21.7408 | −0.967454 | ||||||||
\(506\) | −6.01562 | − | 8.01158i | −0.267427 | − | 0.356158i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −9.45091 | − | 2.74517i | −0.419317 | − | 0.121797i | ||||
\(509\) | 13.2178 | − | 22.8940i | 0.585870 | − | 1.01476i | −0.408896 | − | 0.912581i | \(-0.634086\pi\) |
0.994766 | − | 0.102176i | \(-0.0325804\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −20.1749 | − | 20.0272i | −0.892484 | − | 0.885952i | ||||
\(512\) | −20.0000 | − | 10.5830i | −0.883883 | − | 0.467707i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −33.1207 | + | 4.00898i | −1.46089 | + | 0.176829i | ||||
\(515\) | −22.4388 | − | 38.8652i | −0.988773 | − | 1.71260i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −16.2033 | −0.712619 | ||||||||
\(518\) | 7.53126 | + | 18.5361i | 0.330905 | + | 0.814428i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 12.3783 | + | 2.02596i | 0.542825 | + | 0.0888442i | ||||
\(521\) | 10.4163 | − | 6.01384i | 0.456345 | − | 0.263471i | −0.254161 | − | 0.967162i | \(-0.581799\pi\) |
0.710506 | + | 0.703691i | \(0.248466\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 2.43276 | + | 1.40455i | 0.106377 | + | 0.0614168i | 0.552245 | − | 0.833682i | \(-0.313771\pi\) |
−0.445868 | + | 0.895099i | \(0.647105\pi\) | |||||||
\(524\) | 5.69439 | − | 5.46133i | 0.248760 | − | 0.238579i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 5.92487 | − | 13.8917i | 0.258337 | − | 0.605708i | ||||
\(527\) | −0.404248 | − | 0.233393i | −0.0176093 | − | 0.0101668i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −1.71848 | − | 2.97649i | −0.0747164 | − | 0.129413i | ||||
\(530\) | 19.2155 | + | 25.5912i | 0.834668 | + | 1.11161i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 23.9360 | + | 14.3744i | 1.03776 | + | 0.623211i | ||||
\(533\) | − | 5.85434i | − | 0.253580i | ||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 8.20791 | + | 14.2165i | 0.354859 | + | 0.614634i | ||||
\(536\) | −17.9779 | + | 21.9685i | −0.776527 | + | 0.948894i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 30.3590 | + | 12.9482i | 1.30887 | + | 0.558236i | ||||
\(539\) | 9.75058 | + | 5.53440i | 0.419987 | + | 0.238383i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 1.68628 | + | 0.973573i | 0.0724988 | + | 0.0418572i | 0.535811 | − | 0.844338i | \(-0.320006\pi\) |
−0.463312 | + | 0.886195i | \(0.653339\pi\) | |||||||
\(542\) | −2.31783 | − | 19.1490i | −0.0995592 | − | 0.822520i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −18.7642 | + | 12.9001i | −0.804507 | + | 0.553088i | ||||
\(545\) | − | 9.04336i | − | 0.387375i | ||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 28.4561 | 1.21669 | 0.608347 | − | 0.793671i | \(-0.291833\pi\) | ||||
0.608347 | + | 0.793671i | \(0.291833\pi\) | |||||||
\(548\) | −0.199749 | + | 0.0490750i | −0.00853286 | + | 0.00209638i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −1.41629 | − | 11.7008i | −0.0603906 | − | 0.498924i | ||||
\(551\) | 13.4712 | − | 23.3329i | 0.573894 | − | 0.994013i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −8.05982 | + | 30.5277i | −0.342738 | + | 1.29817i | ||||
\(554\) | −0.253810 | + | 0.595095i | −0.0107833 | + | 0.0252832i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 28.7687 | + | 8.35634i | 1.22007 | + | 0.354388i | ||||
\(557\) | −7.96630 | + | 4.59935i | −0.337543 | + | 0.194881i | −0.659185 | − | 0.751981i | \(-0.729099\pi\) |
0.321642 | + | 0.946861i | \(0.395765\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0 | 0 | ||||||||
\(560\) | 22.9758 | + | 24.7970i | 0.970905 | + | 1.04786i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 1.62505 | − | 1.22020i | 0.0685488 | − | 0.0514709i | ||||
\(563\) | 23.5533 | − | 13.5985i | 0.992653 | − | 0.573108i | 0.0865866 | − | 0.996244i | \(-0.472404\pi\) |
0.906066 | + | 0.423136i | \(0.139071\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 2.29501 | − | 3.97508i | 0.0965518 | − | 0.167233i | ||||
\(566\) | −17.3248 | + | 40.6205i | −0.728214 | + | 1.70741i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 14.0000 | − | 5.29150i | 0.587427 | − | 0.222027i | ||||
\(569\) | −11.7699 | + | 20.3861i | −0.493420 | + | 0.854628i | −0.999971 | − | 0.00758149i | \(-0.997587\pi\) |
0.506551 | + | 0.862210i | \(0.330920\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −15.1713 | − | 26.2774i | −0.634897 | − | 1.09967i | −0.986537 | − | 0.163539i | \(-0.947709\pi\) |
0.351640 | − | 0.936135i | \(-0.385624\pi\) | |||||||
\(572\) | −4.31881 | + | 1.06106i | −0.180579 | + | 0.0443651i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 9.68967 | − | 12.4523i | 0.404439 | − | 0.519751i | ||||
\(575\) | 23.0145i | 0.959772i | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 24.7760 | − | 14.3044i | 1.03144 | − | 0.595500i | 0.114041 | − | 0.993476i | \(-0.463620\pi\) |
0.917396 | + | 0.397976i | \(0.130287\pi\) | |||||||
\(578\) | −0.135380 | − | 1.11846i | −0.00563107 | − | 0.0465217i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 23.5431 | − | 22.5795i | 0.977574 | − | 0.937564i | ||||
\(581\) | 38.2421 | − | 10.3976i | 1.58655 | − | 0.431367i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −9.82652 | − | 5.67335i | −0.406973 | − | 0.234966i | ||||
\(584\) | 23.5187 | + | 19.2465i | 0.973211 | + | 0.796428i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −35.3978 | + | 26.5790i | −1.46227 | + | 1.09797i | ||||
\(587\) | − | 15.2362i | − | 0.628867i | −0.949280 | − | 0.314433i | \(-0.898186\pi\) | ||
0.949280 | − | 0.314433i | \(-0.101814\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | − | 0.611872i | − | 0.0252117i | ||||||
\(590\) | 13.7452 | + | 18.3058i | 0.565880 | + | 0.753637i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −9.91160 | − | 18.9540i | −0.407364 | − | 0.779003i | ||||
\(593\) | −18.2934 | − | 10.5617i | −0.751221 | − | 0.433717i | 0.0749142 | − | 0.997190i | \(-0.476132\pi\) |
−0.826135 | + | 0.563473i | \(0.809465\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 32.8274 | − | 8.92543i | 1.34579 | − | 0.365907i | ||||
\(596\) | 16.3202 | − | 15.6522i | 0.668500 | − | 0.641140i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 8.62105 | − | 1.04351i | 0.352541 | − | 0.0426721i | ||||
\(599\) | −29.1795 | + | 16.8468i | −1.19224 | + | 0.688341i | −0.958814 | − | 0.284033i | \(-0.908327\pi\) |
−0.233427 | + | 0.972374i | \(0.574994\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 24.3960i | 0.995132i | 0.867426 | + | 0.497566i | \(0.165773\pi\) | ||||
−0.867426 | + | 0.497566i | \(0.834227\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 7.07205 | + | 28.7853i | 0.287758 | + | 1.17126i | ||||
\(605\) | −13.4712 | − | 23.3329i | −0.547683 | − | 0.948616i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 4.08757 | − | 7.07987i | 0.165909 | − | 0.287363i | −0.771069 | − | 0.636752i | \(-0.780277\pi\) |
0.936978 | + | 0.349389i | \(0.113611\pi\) | |||||||
\(608\) | −26.9425 | − | 12.8463i | −1.09266 | − | 0.520985i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 35.0138 | + | 14.9335i | 1.41767 | + | 0.604639i | ||||
\(611\) | 7.02235 | − | 12.1631i | 0.284094 | − | 0.492065i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −14.7221 | + | 8.49981i | −0.594620 | + | 0.343304i | −0.766922 | − | 0.641740i | \(-0.778213\pi\) |
0.172302 | + | 0.985044i | \(0.444879\pi\) | |||||||
\(614\) | −12.5009 | − | 16.6486i | −0.504493 | − | 0.671883i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −10.9424 | − | 4.89128i | −0.440882 | − | 0.197075i | ||||
\(617\) | −39.6548 | −1.59644 | −0.798221 | − | 0.602365i | \(-0.794225\pi\) | ||||
−0.798221 | + | 0.602365i | \(0.794225\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −12.4719 | + | 7.20065i | −0.501288 | + | 0.289419i | −0.729245 | − | 0.684252i | \(-0.760129\pi\) |
0.227957 | + | 0.973671i | \(0.426795\pi\) | |||||||
\(620\) | 0.206644 | − | 0.711423i | 0.00829903 | − | 0.0285714i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −20.2677 | − | 8.64425i | −0.812662 | − | 0.346603i | ||||
\(623\) | −1.16979 | + | 4.43075i | −0.0468667 | + | 0.177514i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 11.9709 | − | 20.7343i | 0.478837 | − | 0.829370i | ||||
\(626\) | −18.3725 | + | 2.22384i | −0.734314 | + | 0.0888826i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 1.43478 | − | 0.352502i | 0.0572541 | − | 0.0140663i | ||||
\(629\) | −21.5246 | −0.858241 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | − | 36.6698i | − | 1.45980i | −0.683553 | − | 0.729900i | \(-0.739566\pi\) | ||
0.683553 | − | 0.729900i | \(-0.260434\pi\) | |||||||
\(632\) | 5.45194 | − | 33.3106i | 0.216867 | − | 1.32502i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 33.0670 | − | 4.00248i | 1.31326 | − | 0.158959i | ||||
\(635\) | −13.6124 | − | 7.85913i | −0.540192 | − | 0.311880i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −8.38024 | + | 4.92077i | −0.332037 | + | 0.194968i | ||||
\(638\) | −4.53747 | + | 10.6388i | −0.179640 | + | 0.421193i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −26.9875 | − | 24.0355i | −1.06677 | − | 0.950086i | ||||
\(641\) | 9.13798 | + | 15.8274i | 0.360929 | + | 0.625147i | 0.988114 | − | 0.153723i | \(-0.0491265\pi\) |
−0.627185 | + | 0.778870i | \(0.715793\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | − | 13.6340i | − | 0.537671i | −0.963186 | − | 0.268836i | \(-0.913361\pi\) | ||
0.963186 | − | 0.268836i | \(-0.0866389\pi\) | |||||||
\(644\) | 20.0643 | + | 12.0494i | 0.790646 | + | 0.474812i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −24.0200 | + | 18.0357i | −0.945053 | + | 0.709607i | ||||
\(647\) | −8.74153 | − | 15.1408i | −0.343665 | − | 0.595245i | 0.641445 | − | 0.767169i | \(-0.278335\pi\) |
−0.985110 | + | 0.171923i | \(0.945002\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −7.02907 | − | 4.05824i | −0.275915 | − | 0.159300i | ||||
\(650\) | 9.39708 | + | 4.00788i | 0.368584 | + | 0.157202i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −12.0503 | − | 12.5645i | −0.471924 | − | 0.492063i | ||||
\(653\) | −8.40495 | − | 4.85260i | −0.328911 | − | 0.189897i | 0.326446 | − | 0.945216i | \(-0.394149\pi\) |
−0.655358 | + | 0.755319i | \(0.727482\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 10.9131 | − | 6.30070i | 0.426411 | − | 0.246189i | ||||
\(656\) | −9.03650 | + | 14.2428i | −0.352816 | + | 0.556087i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 35.0682 | − | 14.2483i | 1.36710 | − | 0.555456i | ||||
\(659\) | 28.9465 | 1.12760 | 0.563798 | − | 0.825913i | \(-0.309340\pi\) | ||||
0.563798 | + | 0.825913i | \(0.309340\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 6.43683 | + | 11.1489i | 0.250364 | + | 0.433643i | 0.963626 | − | 0.267254i | \(-0.0861164\pi\) |
−0.713262 | + | 0.700897i | \(0.752783\pi\) | |||||||
\(662\) | −5.61739 | − | 46.4087i | −0.218326 | − | 1.80373i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −39.6304 | + | 14.9789i | −1.53796 | + | 0.581293i | ||||
\(665\) | 31.6475 | + | 31.4159i | 1.22724 | + | 1.21826i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 11.2922 | − | 19.5587i | 0.437238 | − | 0.757318i | ||||
\(668\) | −0.774501 | + | 2.66641i | −0.0299663 | + | 0.103166i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −36.2552 | + | 27.2227i | −1.40066 | + | 1.05171i | ||||
\(671\) | −13.4964 | −0.521024 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −23.6548 | −0.911825 | −0.455912 | − | 0.890025i | \(-0.650687\pi\) | ||||
−0.455912 | + | 0.890025i | \(0.650687\pi\) | |||||||
\(674\) | 17.5398 | − | 13.1700i | 0.675607 | − | 0.507290i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −6.17713 | + | 21.2663i | −0.237582 | + | 0.817933i | ||||
\(677\) | −1.80224 | + | 3.12157i | −0.0692657 | + | 0.119972i | −0.898578 | − | 0.438813i | \(-0.855399\pi\) |
0.829313 | + | 0.558785i | \(0.188732\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 7.33237 | − | 1.99360i | 0.281391 | − | 0.0765072i | ||||
\(680\) | −34.0191 | + | 12.8580i | −1.30457 | + | 0.493083i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0.0315633 | + | 0.260764i | 0.00120862 | + | 0.00998516i | ||||
\(683\) | −3.80924 | − | 6.59779i | −0.145756 | − | 0.252457i | 0.783899 | − | 0.620889i | \(-0.213228\pi\) |
−0.929655 | + | 0.368432i | \(0.879895\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −0.328514 | −0.0125519 | ||||||||
\(686\) | −25.9695 | − | 3.40375i | −0.991520 | − | 0.129956i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 8.51745 | − | 4.91755i | 0.324489 | − | 0.187344i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −44.9707 | − | 25.9639i | −1.71077 | − | 0.987712i | −0.933526 | − | 0.358509i | \(-0.883285\pi\) |
−0.777241 | − | 0.629203i | \(-0.783381\pi\) | |||||||
\(692\) | −1.34373 | − | 1.40108i | −0.0510811 | − | 0.0532609i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −29.2674 | − | 12.4826i | −1.11097 | − | 0.473834i | ||||
\(695\) | 41.4364 | + | 23.9233i | 1.57177 | + | 0.907462i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 8.48721 | + | 14.7003i | 0.321476 | + | 0.556813i | ||||
\(698\) | 32.2008 | − | 24.1784i | 1.21882 | − | 0.915167i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 13.3543 | + | 24.0782i | 0.504745 | + | 0.910072i | ||||
\(701\) | − | 0.741474i | − | 0.0280051i | −0.999902 | − | 0.0140025i | \(-0.995543\pi\) | ||
0.999902 | − | 0.0140025i | \(-0.00445729\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −14.1074 | − | 24.4347i | −0.532071 | − | 0.921574i | ||||
\(704\) | 12.1449 | + | 4.08492i | 0.457726 | + | 0.153956i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −5.31161 | + | 12.4539i | −0.199905 | + | 0.468708i | ||||
\(707\) | −12.6864 | + | 12.7799i | −0.477120 | + | 0.480638i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 35.6491 | + | 20.5820i | 1.33883 | + | 0.772974i | 0.986634 | − | 0.162952i | \(-0.0521016\pi\) |
0.352196 | + | 0.935926i | \(0.385435\pi\) | |||||||
\(710\) | 23.7305 | − | 2.87238i | 0.890590 | − | 0.107799i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 0.791288 | − | 4.83465i | 0.0296548 | − | 0.181186i | ||||
\(713\) | − | 0.512901i | − | 0.0192083i | ||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −7.10284 | −0.265631 | ||||||||
\(716\) | −27.7156 | + | 6.80925i | −1.03578 | + | 0.254474i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −5.27242 | + | 0.638183i | −0.196765 | + | 0.0238168i | ||||
\(719\) | −7.02471 | + | 12.1672i | −0.261978 | + | 0.453758i | −0.966767 | − | 0.255658i | \(-0.917708\pi\) |
0.704790 | + | 0.709416i | \(0.251041\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −35.9398 | − | 9.48869i | −1.33847 | − | 0.353377i | ||||
\(722\) | −11.5012 | − | 4.90528i | −0.428029 | − | 0.182556i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 8.54763 | − | 29.4273i | 0.317670 | − | 1.09366i | ||||
\(725\) | 23.0095 | − | 13.2845i | 0.854550 | − | 0.493375i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 13.2022 | 0.489642 | 0.244821 | − | 0.969568i | \(-0.421271\pi\) | ||||
0.244821 | + | 0.969568i | \(0.421271\pi\) | |||||||
\(728\) | 8.41401 | − | 6.09414i | 0.311844 | − | 0.225864i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 29.1438 | + | 38.8136i | 1.07866 | + | 1.43656i | ||||
\(731\) | 0 | 0 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 24.9797 | − | 43.2661i | 0.922646 | − | 1.59807i | 0.127342 | − | 0.991859i | \(-0.459356\pi\) |
0.795304 | − | 0.606211i | \(-0.207311\pi\) | |||||||
\(734\) | 21.8880 | + | 9.33529i | 0.807900 | + | 0.344572i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −22.5845 | − | 10.7684i | −0.832476 | − | 0.396928i | ||||
\(737\) | 8.03747 | − | 13.9213i | 0.296064 | − | 0.512798i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 18.2718 | + | 31.6476i | 0.672138 | + | 1.16418i | 0.977297 | + | 0.211875i | \(0.0679571\pi\) |
−0.305159 | + | 0.952301i | \(0.598710\pi\) | |||||||
\(740\) | −8.15045 | − | 33.1747i | −0.299617 | − | 1.21953i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 26.2560 | + | 3.63770i | 0.963889 | + | 0.133544i | ||||
\(743\) | − | 15.1330i | − | 0.555177i | −0.960700 | − | 0.277589i | \(-0.910465\pi\) | ||
0.960700 | − | 0.277589i | \(-0.0895352\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 31.2771 | − | 18.0579i | 1.14591 | − | 0.661589i | ||||
\(746\) | 18.0522 | − | 2.18507i | 0.660939 | − | 0.0800012i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 9.30631 | − | 8.92543i | 0.340273 | − | 0.326346i | ||||
\(749\) | 13.1464 | + | 3.47087i | 0.480360 | + | 0.126823i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 11.9997 | + | 6.92806i | 0.437877 | + | 0.252808i | 0.702697 | − | 0.711490i | \(-0.251979\pi\) |
−0.264820 | + | 0.964298i | \(0.585312\pi\) | |||||||
\(752\) | −35.8588 | + | 18.7516i | −1.30763 | + | 0.683801i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −6.01955 | − | 8.01682i | −0.219219 | − | 0.291955i | ||||
\(755\) | 47.3412i | 1.72292i | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 46.6967i | 1.69722i | 0.529019 | + | 0.848610i | \(0.322560\pi\) | ||||
−0.529019 | + | 0.848610i | \(0.677440\pi\) | |||||||
\(758\) | −28.9309 | + | 21.7232i | −1.05082 | + | 0.789022i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −36.8929 | − | 30.1913i | −1.33825 | − | 1.09515i | ||||
\(761\) | −40.7899 | − | 23.5501i | −1.47863 | − | 0.853689i | −0.478925 | − | 0.877856i | \(-0.658974\pi\) |
−0.999708 | + | 0.0241662i | \(0.992307\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −5.31596 | − | 5.27705i | −0.192451 | − | 0.191042i | ||||
\(764\) | 3.60957 | − | 3.46184i | 0.130590 | − | 0.125245i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −4.58312 | − | 37.8640i | −0.165595 | − | 1.36808i | ||||
\(767\) | 6.09267 | − | 3.51761i | 0.219994 | − | 0.127013i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | − | 17.3071i | − | 0.624110i | −0.950064 | − | 0.312055i | \(-0.898983\pi\) | ||
0.950064 | − | 0.312055i | \(-0.101017\pi\) | |||||||
\(770\) | −15.1079 | − | 11.7561i | −0.544453 | − | 0.423661i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 6.02195 | − | 1.47949i | 0.216735 | − | 0.0532480i | ||||
\(773\) | 13.5389 | + | 23.4501i | 0.486960 | + | 0.843440i | 0.999888 | − | 0.0149920i | \(-0.00477229\pi\) |
−0.512927 | + | 0.858432i | \(0.671439\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0.301696 | − | 0.522552i | 0.0108372 | − | 0.0187706i | ||||
\(776\) | −7.59856 | + | 2.87198i | −0.272772 | + | 0.103098i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 17.7485 | − | 41.6141i | 0.636315 | − | 1.49194i | ||||
\(779\) | −11.1252 | + | 19.2694i | −0.398601 | + | 0.690398i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −7.33982 | + | 4.23764i | −0.262639 | + | 0.151635i | ||||
\(782\) | −20.1347 | + | 15.1184i | −0.720016 | + | 0.540635i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 27.9834 | + | 0.963845i | 0.999407 | + | 0.0344230i | ||||
\(785\) | 2.35969 | 0.0842208 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −46.9684 | + | 27.1172i | −1.67424 | + | 0.966624i | −0.709023 | + | 0.705186i | \(0.750864\pi\) |
−0.965220 | + | 0.261439i | \(0.915803\pi\) | |||||||
\(788\) | 30.1329 | + | 8.75257i | 1.07344 | + | 0.311798i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 21.1492 | − | 49.5876i | 0.752456 | − | 1.76425i | ||||
\(791\) | −0.997467 | − | 3.66864i | −0.0354658 | − | 0.130442i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 5.84923 | − | 10.1312i | 0.207712 | − | 0.359768i | ||||
\(794\) | −2.89551 | − | 23.9216i | −0.102758 | − | 0.848946i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 22.9686 | − | 5.64298i | 0.814099 | − | 0.200010i | ||||
\(797\) | −20.1437 | −0.713527 | −0.356763 | − | 0.934195i | \(-0.616120\pi\) | ||||
−0.356763 | + | 0.934195i | \(0.616120\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 40.7221i | 1.44064i | ||||||||
\(800\) | −16.6754 | − | 24.2555i | −0.589563 | − | 0.857562i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −1.00215 | − | 8.27941i | −0.0353873 | − | 0.292356i | ||||
\(803\) | −14.9037 | − | 8.60465i | −0.525940 | − | 0.303651i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 26.5285 | + | 26.3344i | 0.935008 | + | 0.928164i | ||||
\(806\) | −0.209423 | − | 0.0893195i | −0.00737661 | − | 0.00314615i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 12.1919 | − | 14.8981i | 0.428908 | − | 0.524113i | ||||
\(809\) | 17.2771 | + | 29.9249i | 0.607432 | + | 1.05210i | 0.991662 | + | 0.128865i | \(0.0411334\pi\) |
−0.384231 | + | 0.923237i | \(0.625533\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 13.6340i | 0.478754i | 0.970927 | + | 0.239377i | \(0.0769431\pi\) | ||||
−0.970927 | + | 0.239377i | \(0.923057\pi\) | |||||||
\(812\) | 0.465109 | − | 27.0151i | 0.0163221 | − | 0.948045i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 7.27267 | + | 9.68573i | 0.254907 | + | 0.339485i | ||||
\(815\) | −13.9023 | − | 24.0795i | −0.486976 | − | 0.843468i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0 | 0 | ||||||||
\(818\) | 0.133094 | − | 0.312058i | 0.00465352 | − | 0.0109109i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −19.4430 | + | 18.6473i | −0.678980 | + | 0.651191i | ||||
\(821\) | 27.7311 | + | 16.0106i | 0.967822 | + | 0.558772i | 0.898572 | − | 0.438827i | \(-0.144606\pi\) |
0.0692505 | + | 0.997599i | \(0.477939\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −26.8399 | + | 15.4960i | −0.935580 | + | 0.540158i | −0.888572 | − | 0.458737i | \(-0.848302\pi\) |
−0.0470083 | + | 0.998894i | \(0.514969\pi\) | |||||||
\(824\) | 39.2160 | + | 6.41848i | 1.36615 | + | 0.223598i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 18.7814 | + | 2.60210i | 0.653487 | + | 0.0905387i | ||||
\(827\) | 11.0191 | 0.383172 | 0.191586 | − | 0.981476i | \(-0.438637\pi\) | ||||
0.191586 | + | 0.981476i | \(0.438637\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −18.9836 | − | 32.8806i | −0.659328 | − | 1.14199i | −0.980790 | − | 0.195067i | \(-0.937508\pi\) |
0.321462 | − | 0.946922i | \(-0.395826\pi\) | |||||||
\(830\) | −67.1750 | + | 8.13097i | −2.33168 | + | 0.282230i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −8.32984 | + | 7.34623i | −0.288785 | + | 0.254685i | ||||
\(833\) | 13.9090 | − | 24.5052i | 0.481920 | − | 0.849054i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −2.21731 | + | 3.84050i | −0.0767332 | + | 0.132906i | ||||
\(836\) | 16.2316 | + | 4.71473i | 0.561382 | + | 0.163063i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −24.9770 | − | 33.2643i | −0.862816 | − | 1.14910i | ||||
\(839\) | 8.32984 | 0.287578 | 0.143789 | − | 0.989608i | \(-0.454071\pi\) | ||||
0.143789 | + | 0.989608i | \(0.454071\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 2.92739 | 0.100945 | ||||||||
\(842\) | 27.2803 | + | 36.3319i | 0.940142 | + | 1.25208i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 5.61925 | − | 19.3456i | 0.193423 | − | 0.665904i | ||||
\(845\) | −17.6844 | + | 30.6304i | −0.608363 | + | 1.05372i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −21.5766 | − | 5.69657i | −0.741380 | − | 0.195736i | ||||
\(848\) | −28.3123 | − | 1.18346i | −0.972247 | − | 0.0406402i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −29.4065 | + | 3.55941i | −1.00863 | + | 0.122087i | ||||
\(851\) | −11.8255 | − | 20.4824i | −0.405374 | − | 0.702128i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −6.94153 | −0.237673 | −0.118837 | − | 0.992914i | \(-0.537917\pi\) | ||||
−0.118837 | + | 0.992914i | \(0.537917\pi\) | |||||||
\(854\) | 29.2098 | − | 11.8680i | 0.999540 | − | 0.406116i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −14.3448 | − | 2.34782i | −0.490297 | − | 0.0802469i | ||||
\(857\) | −1.91744 | + | 1.10704i | −0.0654986 | + | 0.0378156i | −0.532392 | − | 0.846498i | \(-0.678707\pi\) |
0.466893 | + | 0.884314i | \(0.345373\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 5.26337 | + | 3.03881i | 0.179584 | + | 0.103683i | 0.587097 | − | 0.809516i | \(-0.300271\pi\) |
−0.407513 | + | 0.913199i | \(0.633604\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −20.9914 | + | 49.2175i | −0.714970 | + | 1.67635i | ||||
\(863\) | 7.64747 | + | 4.41527i | 0.260323 | + | 0.150298i | 0.624482 | − | 0.781039i | \(-0.285310\pi\) |
−0.364159 | + | 0.931337i | \(0.618643\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −1.55026 | − | 2.68512i | −0.0527103 | − | 0.0912969i | ||||
\(866\) | 21.6394 | + | 28.8193i | 0.735338 | + | 0.979321i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −0.297613 | − | 0.536607i | −0.0101016 | − | 0.0182136i | ||||
\(869\) | 19.1141i | 0.648400i | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 6.96673 | + | 12.0667i | 0.236059 | + | 0.408866i | ||||
\(872\) | 6.19704 | + | 5.07135i | 0.209858 | + | 0.171738i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −30.3590 | − | 12.9482i | −1.02691 | − | 0.437979i | ||||
\(875\) | 0.450909 | + | 1.65842i | 0.0152435 | + | 0.0560650i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −10.3059 | − | 5.95011i | −0.348005 | − | 0.200921i | 0.315801 | − | 0.948825i | \(-0.397727\pi\) |
−0.663806 | + | 0.747905i | \(0.731060\pi\) | |||||||
\(878\) | −4.07185 | − | 33.6401i | −0.137418 | − | 1.13530i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 17.2802 | + | 10.9636i | 0.582516 | + | 0.369584i | ||||
\(881\) | − | 53.9142i | − | 1.81642i | −0.418519 | − | 0.908208i | \(-0.637451\pi\) | ||
0.418519 | − | 0.908208i | \(-0.362549\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 11.1987 | 0.376866 | 0.188433 | − | 0.982086i | \(-0.439659\pi\) | ||||
0.188433 | + | 0.982086i | \(0.439659\pi\) | |||||||
\(884\) | 2.66665 | + | 10.8540i | 0.0896891 | + | 0.365061i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 1.74525 | + | 14.4186i | 0.0586328 | + | 0.484402i | ||||
\(887\) | −18.1832 | + | 31.4942i | −0.610531 | + | 1.05747i | 0.380620 | + | 0.924732i | \(0.375711\pi\) |
−0.991151 | + | 0.132740i | \(0.957623\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −12.5630 | + | 3.41576i | −0.421351 | + | 0.114561i | ||||
\(890\) | 3.06957 | − | 7.19707i | 0.102892 | − | 0.241246i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 13.5612 | − | 46.6876i | 0.454062 | − | 1.56322i | ||||
\(893\) | −46.2278 | + | 26.6896i | −1.54695 | + | 0.893134i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −45.5819 | −1.52364 | ||||||||
\(896\) | −29.8767 | + | 1.83868i | −0.998112 | + | 0.0614262i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 13.0162 | − | 9.77339i | 0.434355 | − | 0.326142i | ||||
\(899\) | −0.512788 | + | 0.296058i | −0.0171024 | + | 0.00987410i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −14.2583 | + | 24.6960i | −0.475011 | + | 0.822744i | ||||
\(902\) | 3.74726 | − | 8.78601i | 0.124770 | − | 0.292542i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 1.43695 | + | 3.80183i | 0.0477924 | + | 0.126447i | ||||
\(905\) | 24.4709 | − | 42.3849i | 0.813441 | − | 1.40892i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 8.92370 | + | 15.4563i | 0.296307 | + | 0.513218i | 0.975288 | − | 0.220937i | \(-0.0709116\pi\) |
−0.678981 | + | 0.734156i | \(0.737578\pi\) | |||||||
\(908\) | −6.83501 | − | 27.8205i | −0.226828 | − | 0.923254i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 15.3724 | − | 6.24586i | 0.509591 | − | 0.207048i | ||||
\(911\) | 11.1458i | 0.369278i | 0.982806 | + | 0.184639i | \(0.0591116\pi\) | ||||
−0.982806 | + | 0.184639i | \(0.940888\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 20.7771 | − | 11.9957i | 0.687623 | − | 0.396999i | ||||
\(914\) | −5.20183 | − | 42.9755i | −0.172061 | − | 1.42150i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −14.7436 | − | 15.3727i | −0.487141 | − | 0.507929i | ||||
\(917\) | 2.66437 | − | 10.0917i | 0.0879854 | − | 0.333257i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 28.2802 | + | 16.3276i | 0.932879 | + | 0.538598i | 0.887721 | − | 0.460382i | \(-0.152288\pi\) |
0.0451579 | + | 0.998980i | \(0.485621\pi\) | |||||||
\(920\) | −30.9254 | − | 25.3078i | −1.01958 | − | 0.834375i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 19.6405 | − | 14.7473i | 0.646825 | − | 0.485678i | ||||
\(923\) | − | 7.34623i | − | 0.241804i | ||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | − | 27.8238i | − | 0.914839i | ||||||
\(926\) | −18.4511 | − | 24.5732i | −0.606342 | − | 0.807525i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 2.27029 | + | 28.7953i | 0.0745260 | + | 0.945252i | ||||
\(929\) | 23.3027 | + | 13.4538i | 0.764537 | + | 0.441406i | 0.830922 | − | 0.556388i | \(-0.187813\pi\) |
−0.0663853 | + | 0.997794i | \(0.521147\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 36.9344 | − | 0.271329i | 1.21048 | − | 0.00889246i | ||||
\(932\) | 0.883202 | + | 0.920891i | 0.0289302 | + | 0.0301648i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −0.949771 | + | 0.114962i | −0.0310775 | + | 0.00376167i | ||||
\(935\) | 17.8353 | − | 10.2972i | 0.583276 | − | 0.336755i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 32.6476i | − | 1.06655i | −0.845942 | − | 0.533275i | \(-0.820961\pi\) | ||
0.845942 | − | 0.533275i | \(-0.179039\pi\) | |||||||
\(938\) | −5.15355 | + | 37.1971i | −0.168269 | + | 1.21453i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −62.7628 | + | 15.4197i | −2.04710 | + | 0.502936i | ||||
\(941\) | 6.32087 | + | 10.9481i | 0.206055 | + | 0.356897i | 0.950468 | − | 0.310822i | \(-0.100604\pi\) |
−0.744414 | + | 0.667719i | \(0.767271\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −9.32569 | + | 16.1526i | −0.303686 | + | 0.526000i | ||||
\(944\) | −20.2522 | − | 0.846548i | −0.659154 | − | 0.0275528i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −21.1271 | + | 36.5931i | −0.686537 | + | 1.18912i | 0.286414 | + | 0.958106i | \(0.407537\pi\) |
−0.972951 | + | 0.231011i | \(0.925797\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 12.9182 | − | 7.45835i | 0.419344 | − | 0.242108i | ||||
\(950\) | −23.3139 | − | 31.0494i | −0.756403 | − | 1.00738i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −12.2928 | + | 27.5005i | −0.398411 | + | 0.891295i | ||||
\(953\) | 44.4561 | 1.44007 | 0.720037 | − | 0.693936i | \(-0.244125\pi\) | ||||
0.720037 | + | 0.693936i | \(0.244125\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 6.91764 | − | 3.99390i | 0.223850 | − | 0.129240i | ||||
\(956\) | −9.09489 | − | 2.64176i | −0.294150 | − | 0.0854406i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 37.4223 | + | 15.9607i | 1.20906 | + | 0.515668i | ||||
\(959\) | −0.191697 | + | 0.193110i | −0.00619021 | + | 0.00623585i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 15.4933 | − | 26.8351i | 0.499783 | − | 0.865650i | ||||
\(962\) | −10.4225 | + | 1.26156i | −0.336036 | + | 0.0406744i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 5.58598 | + | 22.7365i | 0.179912 | + | 0.732294i | ||||
\(965\) | 9.90388 | 0.318817 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | − | 25.7160i | − | 0.826972i | −0.910510 | − | 0.413486i | \(-0.864311\pi\) | ||
0.910510 | − | 0.413486i | \(-0.135689\pi\) | |||||||
\(968\) | 23.5435 | + | 3.85336i | 0.756716 | + | 0.123852i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −12.8798 | + | 1.55900i | −0.413547 | + | 0.0500564i | ||||
\(971\) | 40.2746 | + | 23.2526i | 1.29247 | + | 0.746210i | 0.979092 | − | 0.203417i | \(-0.0652048\pi\) |
0.313381 | + | 0.949627i | \(0.398538\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 38.2421 | − | 10.3976i | 1.22599 | − | 0.333333i | ||||
\(974\) | 1.01699 | − | 2.38448i | 0.0325863 | − | 0.0764035i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −29.8684 | + | 15.6191i | −0.956063 | + | 0.499954i | ||||
\(977\) | 17.1348 | + | 29.6783i | 0.548189 | + | 0.949492i | 0.998399 | + | 0.0565688i | \(0.0180160\pi\) |
−0.450209 | + | 0.892923i | \(0.648651\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 2.77419i | 0.0886635i | ||||||||
\(980\) | 43.0353 | + | 12.1582i | 1.37471 | + | 0.388380i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 15.1959 | − | 11.4100i | 0.484920 | − | 0.364109i | ||||
\(983\) | 0.777334 | + | 1.34638i | 0.0247931 | + | 0.0429429i | 0.878156 | − | 0.478375i | \(-0.158774\pi\) |
−0.853363 | + | 0.521318i | \(0.825441\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 43.4012 | + | 25.0577i | 1.38288 | + | 0.798404i | ||||
\(986\) | 26.7374 | + | 11.4036i | 0.851491 | + | 0.363163i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −10.5738 | + | 10.1410i | −0.336396 | + | 0.322629i | ||||
\(989\) | 0 | 0 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 22.6482 | − | 13.0759i | 0.719443 | − | 0.415371i | −0.0951047 | − | 0.995467i | \(-0.530319\pi\) |
0.814548 | + | 0.580097i | \(0.196985\pi\) | |||||||
\(992\) | 0.371626 | + | 0.540558i | 0.0117992 | + | 0.0171627i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 12.1589 | − | 15.6256i | 0.385658 | − | 0.495615i | ||||
\(995\) | 37.7748 | 1.19754 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 18.1467 | + | 31.4310i | 0.574711 | + | 0.995429i | 0.996073 | + | 0.0885360i | \(0.0282188\pi\) |
−0.421362 | + | 0.906893i | \(0.638448\pi\) | |||||||
\(998\) | 1.93187 | + | 15.9604i | 0.0611524 | + | 0.505218i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))