Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [855,2,Mod(406,855)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(855, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("855.406");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 855 = 3^{2} \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 855.k (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.82720937282\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{10} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{10} - x^{9} + 9x^{8} - 2x^{7} + 56x^{6} - 18x^{5} + 125x^{4} + x^{3} + 189x^{2} - 52x + 16 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{19}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | no (minimal twist has level 285) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 406.2 | ||
Root | \(0.823305 - 1.42601i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 855.406 |
Dual form | 855.2.k.i.676.2 |
$q$-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 \(\left(\mathbb{Z}/855\mathbb{Z}\right)^\times\).
\(n\) | \(172\) | \(191\) | \(496\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.823305 | − | 1.42601i | −0.582165 | − | 1.00834i | −0.995222 | − | 0.0976341i | \(-0.968873\pi\) |
0.413058 | − | 0.910705i | \(-0.364461\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.355663 | + | 0.616027i | −0.177832 | + | 0.308014i | ||||
\(5\) | 0.500000 | + | 0.866025i | 0.223607 | + | 0.387298i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 4.47988 | 1.69324 | 0.846618 | − | 0.532201i | \(-0.178635\pi\) | ||||
0.846618 | + | 0.532201i | \(0.178635\pi\) | |||||||
\(8\) | −2.12194 | −0.750220 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.823305 | − | 1.42601i | 0.260352 | − | 0.450943i | ||||
\(11\) | 3.44134 | 1.03760 | 0.518801 | − | 0.854895i | \(-0.326379\pi\) | ||||
0.518801 | + | 0.854895i | \(0.326379\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.23994 | + | 2.14764i | −0.343898 | + | 0.595648i | −0.985153 | − | 0.171680i | \(-0.945081\pi\) |
0.641255 | + | 0.767328i | \(0.278414\pi\) | |||||||
\(14\) | −3.68831 | − | 6.38834i | −0.985742 | − | 1.70736i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.45833 | + | 4.25796i | 0.614583 | + | 1.06449i | ||||
\(17\) | 3.81400 | + | 6.60604i | 0.925030 | + | 1.60220i | 0.791513 | + | 0.611153i | \(0.209294\pi\) |
0.133518 | + | 0.991046i | \(0.457373\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −3.67522 | + | 2.34366i | −0.843154 | + | 0.537672i | ||||
\(20\) | −0.711327 | −0.159058 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −2.83327 | − | 4.90737i | −0.604055 | − | 1.04625i | ||||
\(23\) | 1.93528 | − | 3.35201i | 0.403535 | − | 0.698942i | −0.590615 | − | 0.806953i | \(-0.701115\pi\) |
0.994150 | + | 0.108011i | \(0.0344482\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.500000 | + | 0.866025i | −0.100000 | + | 0.173205i | ||||
\(26\) | 4.08340 | 0.800820 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −1.59333 | + | 2.75973i | −0.301111 | + | 0.521540i | ||||
\(29\) | −4.36728 | + | 7.56435i | −0.810983 | + | 1.40466i | 0.101193 | + | 0.994867i | \(0.467734\pi\) |
−0.912177 | + | 0.409797i | \(0.865599\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.422654 | −0.0759108 | −0.0379554 | − | 0.999279i | \(-0.512084\pi\) | ||||
−0.0379554 | + | 0.999279i | \(0.512084\pi\) | |||||||
\(32\) | 1.92598 | − | 3.33589i | 0.340468 | − | 0.589707i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 6.28017 | − | 10.8776i | 1.07704 | − | 1.86549i | ||||
\(35\) | 2.23994 | + | 3.87969i | 0.378619 | + | 0.655787i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 3.90253 | 0.641573 | 0.320786 | − | 0.947152i | \(-0.396053\pi\) | ||||
0.320786 | + | 0.947152i | \(0.396053\pi\) | |||||||
\(38\) | 6.36790 | + | 3.31135i | 1.03301 | + | 0.537172i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −1.06097 | − | 1.83766i | −0.167754 | − | 0.290559i | ||||
\(41\) | 2.64661 | + | 4.58406i | 0.413331 | + | 0.715911i | 0.995252 | − | 0.0973351i | \(-0.0310319\pi\) |
−0.581921 | + | 0.813246i | \(0.697699\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.23994 | − | 2.14764i | −0.189089 | − | 0.327512i | 0.755858 | − | 0.654736i | \(-0.227220\pi\) |
−0.944947 | + | 0.327224i | \(0.893887\pi\) | |||||||
\(44\) | −1.22396 | + | 2.11996i | −0.184518 | + | 0.319595i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −6.37332 | −0.939695 | ||||||||
\(47\) | −0.338665 | + | 0.586585i | −0.0493994 | + | 0.0855622i | −0.889668 | − | 0.456608i | \(-0.849064\pi\) |
0.840268 | + | 0.542171i | \(0.182397\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 13.0693 | 1.86705 | ||||||||
\(50\) | 1.64661 | 0.232866 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.882003 | − | 1.52767i | −0.122312 | − | 0.211850i | ||||
\(53\) | 5.74928 | − | 9.95805i | 0.789725 | − | 1.36784i | −0.136411 | − | 0.990652i | \(-0.543557\pi\) |
0.926136 | − | 0.377191i | \(-0.123110\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 1.72067 | + | 2.98028i | 0.232015 | + | 0.401861i | ||||
\(56\) | −9.50605 | −1.27030 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 14.3824 | 1.88850 | ||||||||
\(59\) | −4.26526 | − | 7.38765i | −0.555290 | − | 0.961791i | −0.997881 | − | 0.0650670i | \(-0.979274\pi\) |
0.442591 | − | 0.896724i | \(-0.354059\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −4.10117 | + | 7.10343i | −0.525101 | + | 0.909501i | 0.474472 | + | 0.880271i | \(0.342639\pi\) |
−0.999573 | + | 0.0292304i | \(0.990694\pi\) | |||||||
\(62\) | 0.347973 | + | 0.602707i | 0.0441926 | + | 0.0765439i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 3.49067 | 0.436334 | ||||||||
\(65\) | −2.47988 | −0.307591 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 4.81729 | − | 8.34379i | 0.588525 | − | 1.01936i | −0.405901 | − | 0.913917i | \(-0.633042\pi\) |
0.994426 | − | 0.105438i | \(-0.0336246\pi\) | |||||||
\(68\) | −5.42600 | −0.657999 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 3.68831 | − | 6.38834i | 0.440837 | − | 0.763553i | ||||
\(71\) | −1.92594 | − | 3.33583i | −0.228567 | − | 0.395890i | 0.728816 | − | 0.684709i | \(-0.240071\pi\) |
−0.957384 | + | 0.288819i | \(0.906737\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −8.39260 | − | 14.5364i | −0.982280 | − | 1.70136i | −0.653451 | − | 0.756969i | \(-0.726679\pi\) |
−0.328829 | − | 0.944389i | \(-0.606654\pi\) | |||||||
\(74\) | −3.21298 | − | 5.56504i | −0.373501 | − | 0.646923i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −0.136613 | − | 3.09759i | −0.0156706 | − | 0.355318i | ||||
\(77\) | 15.4168 | 1.75690 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −6.06262 | − | 10.5008i | −0.682098 | − | 1.18143i | −0.974339 | − | 0.225084i | \(-0.927734\pi\) |
0.292241 | − | 0.956345i | \(-0.405599\pi\) | |||||||
\(80\) | −2.45833 | + | 4.25796i | −0.274850 | + | 0.476054i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 4.35794 | − | 7.54817i | 0.481254 | − | 0.833556i | ||||
\(83\) | 2.03855 | 0.223759 | 0.111880 | − | 0.993722i | \(-0.464313\pi\) | ||||
0.111880 | + | 0.993722i | \(0.464313\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −3.81400 | + | 6.60604i | −0.413686 | + | 0.716525i | ||||
\(86\) | −2.04170 | + | 3.53633i | −0.220162 | + | 0.381332i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −7.30232 | −0.778430 | ||||||||
\(89\) | −1.57255 | + | 2.72374i | −0.166690 | + | 0.288716i | −0.937254 | − | 0.348647i | \(-0.886641\pi\) |
0.770564 | + | 0.637363i | \(0.219975\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −5.55478 | + | 9.62117i | −0.582300 | + | 1.00857i | ||||
\(92\) | 1.37662 | + | 2.38437i | 0.143522 | + | 0.248588i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 1.11530 | 0.115034 | ||||||||
\(95\) | −3.86728 | − | 2.01101i | −0.396774 | − | 0.206325i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −1.00000 | − | 1.73205i | −0.101535 | − | 0.175863i | 0.810782 | − | 0.585348i | \(-0.199042\pi\) |
−0.912317 | + | 0.409484i | \(0.865709\pi\) | |||||||
\(98\) | −10.7600 | − | 18.6370i | −1.08693 | − | 1.88262i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.355663 | − | 0.616027i | −0.0355663 | − | 0.0616027i | ||||
\(101\) | −1.00934 | + | 1.74823i | −0.100433 | + | 0.173955i | −0.911863 | − | 0.410494i | \(-0.865356\pi\) |
0.811430 | + | 0.584450i | \(0.198690\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 6.48898 | 0.639378 | 0.319689 | − | 0.947523i | \(-0.396422\pi\) | ||||
0.319689 | + | 0.947523i | \(0.396422\pi\) | |||||||
\(104\) | 2.63108 | − | 4.55717i | 0.257999 | − | 0.446867i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −18.9337 | −1.83900 | ||||||||
\(107\) | −3.96145 | −0.382968 | −0.191484 | − | 0.981496i | \(-0.561330\pi\) | ||||
−0.191484 | + | 0.981496i | \(0.561330\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 1.48402 | + | 2.57039i | 0.142143 | + | 0.246199i | 0.928303 | − | 0.371824i | \(-0.121267\pi\) |
−0.786160 | + | 0.618023i | \(0.787934\pi\) | |||||||
\(110\) | 2.83327 | − | 4.90737i | 0.270142 | − | 0.467899i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 11.0130 | + | 19.0751i | 1.04063 | + | 1.80243i | ||||
\(113\) | 8.71719 | 0.820044 | 0.410022 | − | 0.912076i | \(-0.365521\pi\) | ||||
0.410022 | + | 0.912076i | \(0.365521\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 3.87057 | 0.360932 | ||||||||
\(116\) | −3.10656 | − | 5.38072i | −0.288437 | − | 0.499588i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −7.02323 | + | 12.1646i | −0.646541 | + | 1.11984i | ||||
\(119\) | 17.0863 | + | 29.5943i | 1.56629 | + | 2.71290i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 0.842790 | 0.0766172 | ||||||||
\(122\) | 13.5061 | 1.22278 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0.150322 | − | 0.260366i | 0.0134994 | − | 0.0233816i | ||||
\(125\) | −1.00000 | −0.0894427 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 2.28867 | − | 3.96410i | 0.203087 | − | 0.351757i | −0.746435 | − | 0.665459i | \(-0.768236\pi\) |
0.949522 | + | 0.313702i | \(0.101569\pi\) | |||||||
\(128\) | −6.72584 | − | 11.6495i | −0.594486 | − | 1.02968i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 2.04170 | + | 3.53633i | 0.179069 | + | 0.310156i | ||||
\(131\) | −10.3364 | − | 17.9031i | −0.903094 | − | 1.56420i | −0.823456 | − | 0.567380i | \(-0.807957\pi\) |
−0.0796380 | − | 0.996824i | \(-0.525376\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −16.4646 | + | 10.4993i | −1.42766 | + | 0.910405i | ||||
\(134\) | −15.8644 | −1.37047 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −8.09309 | − | 14.0176i | −0.693976 | − | 1.20200i | ||||
\(137\) | 8.81400 | − | 15.2663i | 0.753031 | − | 1.30429i | −0.193317 | − | 0.981136i | \(-0.561925\pi\) |
0.946347 | − | 0.323151i | \(-0.104742\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −5.86728 | + | 10.1624i | −0.497656 | + | 0.861966i | −0.999996 | − | 0.00270444i | \(-0.999139\pi\) |
0.502340 | + | 0.864670i | \(0.332472\pi\) | |||||||
\(140\) | −3.18666 | −0.269322 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −3.17128 | + | 5.49282i | −0.266128 | + | 0.460947i | ||||
\(143\) | −4.26705 | + | 7.39075i | −0.356829 | + | 0.618045i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −8.73456 | −0.725365 | ||||||||
\(146\) | −13.8193 | + | 23.9358i | −1.14370 | + | 1.98094i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −1.38799 | + | 2.40407i | −0.114092 | + | 0.197613i | ||||
\(149\) | −10.7824 | − | 18.6757i | −0.883332 | − | 1.52998i | −0.847613 | − | 0.530614i | \(-0.821961\pi\) |
−0.0357187 | − | 0.999362i | \(-0.511372\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 18.3102 | 1.49006 | 0.745032 | − | 0.667029i | \(-0.232434\pi\) | ||||
0.745032 | + | 0.667029i | \(0.232434\pi\) | |||||||
\(152\) | 7.79862 | − | 4.97311i | 0.632551 | − | 0.403372i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −12.6927 | − | 21.9844i | −1.02281 | − | 1.77156i | ||||
\(155\) | −0.211327 | − | 0.366029i | −0.0169742 | − | 0.0294001i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 5.71527 | + | 9.89914i | 0.456128 | + | 0.790038i | 0.998752 | − | 0.0499382i | \(-0.0159024\pi\) |
−0.542624 | + | 0.839976i | \(0.682569\pi\) | |||||||
\(158\) | −9.98278 | + | 17.2907i | −0.794187 | + | 1.37557i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 3.85195 | 0.304524 | ||||||||
\(161\) | 8.66984 | − | 15.0166i | 0.683279 | − | 1.18347i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −8.19876 | −0.642177 | −0.321088 | − | 0.947049i | \(-0.604049\pi\) | ||||
−0.321088 | + | 0.947049i | \(0.604049\pi\) | |||||||
\(164\) | −3.76521 | −0.294014 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −1.67835 | − | 2.90698i | −0.130265 | − | 0.225625i | ||||
\(167\) | −4.42206 | + | 7.65924i | −0.342189 | + | 0.592690i | −0.984839 | − | 0.173471i | \(-0.944502\pi\) |
0.642650 | + | 0.766160i | \(0.277835\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 3.42510 | + | 5.93244i | 0.263469 | + | 0.456342i | ||||
\(170\) | 12.5603 | 0.963334 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 1.76401 | 0.134504 | ||||||||
\(173\) | 8.77310 | + | 15.1955i | 0.667007 | + | 1.15529i | 0.978737 | + | 0.205119i | \(0.0657581\pi\) |
−0.311731 | + | 0.950171i | \(0.600909\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −2.23994 | + | 3.87969i | −0.169324 | + | 0.293277i | ||||
\(176\) | 8.45995 | + | 14.6531i | 0.637693 | + | 1.10452i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 5.17877 | 0.388165 | ||||||||
\(179\) | −4.30890 | −0.322062 | −0.161031 | − | 0.986949i | \(-0.551482\pi\) | ||||
−0.161031 | + | 0.986949i | \(0.551482\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −3.17193 | + | 5.49395i | −0.235768 | + | 0.408362i | −0.959496 | − | 0.281724i | \(-0.909094\pi\) |
0.723728 | + | 0.690086i | \(0.242427\pi\) | |||||||
\(182\) | 18.2931 | 1.35598 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −4.10656 | + | 7.11277i | −0.302740 | + | 0.524361i | ||||
\(185\) | 1.95127 | + | 3.37969i | 0.143460 | + | 0.248480i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 13.1252 | + | 22.7336i | 0.959813 | + | 1.66244i | ||||
\(188\) | −0.240901 | − | 0.417254i | −0.0175695 | − | 0.0304313i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0.316239 | + | 7.17044i | 0.0229424 | + | 0.520198i | ||||
\(191\) | −0.845796 | −0.0611997 | −0.0305998 | − | 0.999532i | \(-0.509742\pi\) | ||||
−0.0305998 | + | 0.999532i | \(0.509742\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 6.59039 | + | 11.4149i | 0.474387 | + | 0.821662i | 0.999570 | − | 0.0293275i | \(-0.00933658\pi\) |
−0.525183 | + | 0.850989i | \(0.676003\pi\) | |||||||
\(194\) | −1.64661 | + | 2.85201i | −0.118220 | + | 0.204763i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −4.64828 | + | 8.05106i | −0.332020 | + | 0.575076i | ||||
\(197\) | −6.91212 | −0.492468 | −0.246234 | − | 0.969210i | \(-0.579193\pi\) | ||||
−0.246234 | + | 0.969210i | \(0.579193\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 6.69062 | − | 11.5885i | 0.474285 | − | 0.821486i | −0.525281 | − | 0.850929i | \(-0.676040\pi\) |
0.999566 | + | 0.0294426i | \(0.00937321\pi\) | |||||||
\(200\) | 1.06097 | − | 1.83766i | 0.0750220 | − | 0.129942i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 3.32398 | 0.233875 | ||||||||
\(203\) | −19.5649 | + | 33.8874i | −1.37319 | + | 2.37843i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −2.64661 | + | 4.58406i | −0.184847 | + | 0.320165i | ||||
\(206\) | −5.34241 | − | 9.25332i | −0.372223 | − | 0.644710i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −12.1927 | −0.845415 | ||||||||
\(209\) | −12.6477 | + | 8.06531i | −0.874858 | + | 0.557889i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 7.37512 | + | 12.7741i | 0.507724 | + | 0.879404i | 0.999960 | + | 0.00894190i | \(0.00284633\pi\) |
−0.492236 | + | 0.870462i | \(0.663820\pi\) | |||||||
\(212\) | 4.08962 | + | 7.08343i | 0.280876 | + | 0.486492i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 3.26149 | + | 5.64906i | 0.222951 | + | 0.386162i | ||||
\(215\) | 1.23994 | − | 2.14764i | 0.0845632 | − | 0.146468i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −1.89344 | −0.128535 | ||||||||
\(218\) | 2.44360 | − | 4.23244i | 0.165501 | − | 0.286657i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −2.44791 | −0.165038 | ||||||||
\(221\) | −18.9165 | −1.27246 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 1.14417 | + | 1.98176i | 0.0766192 | + | 0.132708i | 0.901789 | − | 0.432176i | \(-0.142254\pi\) |
−0.825170 | + | 0.564884i | \(0.808921\pi\) | |||||||
\(224\) | 8.62814 | − | 14.9444i | 0.576492 | − | 0.998513i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −7.17691 | − | 12.4308i | −0.477401 | − | 0.826882i | ||||
\(227\) | 4.19493 | 0.278427 | 0.139214 | − | 0.990262i | \(-0.455543\pi\) | ||||
0.139214 | + | 0.990262i | \(0.455543\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −26.2742 | −1.73625 | −0.868123 | − | 0.496348i | \(-0.834674\pi\) | ||||
−0.868123 | + | 0.496348i | \(0.834674\pi\) | |||||||
\(230\) | −3.18666 | − | 5.51946i | −0.210122 | − | 0.363942i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 9.26712 | − | 16.0511i | 0.608416 | − | 1.05381i | ||||
\(233\) | −2.78125 | − | 4.81726i | −0.182206 | − | 0.315589i | 0.760426 | − | 0.649425i | \(-0.224990\pi\) |
−0.942631 | + | 0.333836i | \(0.891657\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.677330 | −0.0441841 | ||||||||
\(236\) | 6.06799 | 0.394993 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 28.1344 | − | 48.7302i | 1.82368 | − | 3.15871i | ||||
\(239\) | 6.84901 | 0.443026 | 0.221513 | − | 0.975157i | \(-0.428901\pi\) | ||||
0.221513 | + | 0.975157i | \(0.428901\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −7.42122 | + | 12.8539i | −0.478043 | + | 0.827994i | −0.999683 | − | 0.0251714i | \(-0.991987\pi\) |
0.521641 | + | 0.853165i | \(0.325320\pi\) | |||||||
\(242\) | −0.693873 | − | 1.20182i | −0.0446039 | − | 0.0772561i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −2.91727 | − | 5.05286i | −0.186759 | − | 0.323476i | ||||
\(245\) | 6.53467 | + | 11.3184i | 0.417484 | + | 0.723104i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −0.476272 | − | 10.7991i | −0.0303044 | − | 0.687127i | ||||
\(248\) | 0.896847 | 0.0569498 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0.823305 | + | 1.42601i | 0.0520704 | + | 0.0901886i | ||||
\(251\) | −2.40128 | + | 4.15913i | −0.151567 | + | 0.262522i | −0.931804 | − | 0.362962i | \(-0.881765\pi\) |
0.780237 | + | 0.625484i | \(0.215099\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 6.65996 | − | 11.5354i | 0.418708 | − | 0.725224i | ||||
\(254\) | −7.53711 | −0.472920 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −7.58417 | + | 13.1362i | −0.474011 | + | 0.821010i | ||||
\(257\) | 1.74862 | − | 3.02871i | 0.109076 | − | 0.188926i | −0.806320 | − | 0.591479i | \(-0.798544\pi\) |
0.915396 | + | 0.402554i | \(0.131877\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 17.4829 | 1.08633 | ||||||||
\(260\) | 0.882003 | − | 1.52767i | 0.0546995 | − | 0.0947423i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −17.0200 | + | 29.4795i | −1.05150 | + | 1.82125i | ||||
\(263\) | −2.61621 | − | 4.53141i | −0.161322 | − | 0.279419i | 0.774021 | − | 0.633160i | \(-0.218243\pi\) |
−0.935343 | + | 0.353741i | \(0.884909\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 11.4986 | 0.706351 | ||||||||
\(266\) | 28.5274 | + | 14.8344i | 1.74913 | + | 0.909558i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 3.42667 | + | 5.93516i | 0.209317 | + | 0.362547i | ||||
\(269\) | −7.94917 | − | 13.7684i | −0.484670 | − | 0.839472i | 0.515175 | − | 0.857085i | \(-0.327727\pi\) |
−0.999845 | + | 0.0176124i | \(0.994393\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −4.99789 | − | 8.65661i | −0.303600 | − | 0.525851i | 0.673348 | − | 0.739325i | \(-0.264855\pi\) |
−0.976949 | + | 0.213474i | \(0.931522\pi\) | |||||||
\(272\) | −18.7522 | + | 32.4797i | −1.13702 | + | 1.96937i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −29.0264 | −1.75355 | ||||||||
\(275\) | −1.72067 | + | 2.98028i | −0.103760 | + | 0.179718i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 4.08619 | 0.245515 | 0.122758 | − | 0.992437i | \(-0.460826\pi\) | ||||
0.122758 | + | 0.992437i | \(0.460826\pi\) | |||||||
\(278\) | 19.3222 | 1.15887 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −4.75303 | − | 8.23248i | −0.284048 | − | 0.491985i | ||||
\(281\) | −5.81920 | + | 10.0792i | −0.347144 | + | 0.601272i | −0.985741 | − | 0.168270i | \(-0.946182\pi\) |
0.638596 | + | 0.769542i | \(0.279515\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −2.17910 | − | 3.77432i | −0.129534 | − | 0.224360i | 0.793962 | − | 0.607967i | \(-0.208015\pi\) |
−0.923496 | + | 0.383607i | \(0.874682\pi\) | |||||||
\(284\) | 2.73995 | 0.162586 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 14.0523 | 0.830932 | ||||||||
\(287\) | 11.8565 | + | 20.5361i | 0.699867 | + | 1.21221i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −20.5932 | + | 35.6684i | −1.21136 | + | 2.09814i | ||||
\(290\) | 7.19121 | + | 12.4555i | 0.422282 | + | 0.731414i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 11.9398 | 0.698722 | ||||||||
\(293\) | 7.20233 | 0.420765 | 0.210382 | − | 0.977619i | \(-0.432529\pi\) | ||||
0.210382 | + | 0.977619i | \(0.432529\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 4.26526 | − | 7.38765i | 0.248333 | − | 0.430126i | ||||
\(296\) | −8.28096 | −0.481321 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −17.7545 | + | 30.7517i | −1.02849 | + | 1.78140i | ||||
\(299\) | 4.79927 | + | 8.31258i | 0.277549 | + | 0.480729i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −5.55478 | − | 9.62117i | −0.320172 | − | 0.554555i | ||||
\(302\) | −15.0749 | − | 26.1105i | −0.867463 | − | 1.50249i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −19.0141 | − | 9.88746i | −1.09053 | − | 0.567085i | ||||
\(305\) | −8.20233 | −0.469664 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −8.14056 | − | 14.0999i | −0.464606 | − | 0.804722i | 0.534577 | − | 0.845120i | \(-0.320471\pi\) |
−0.999184 | + | 0.0403979i | \(0.987137\pi\) | |||||||
\(308\) | −5.48318 | + | 9.49715i | −0.312433 | + | 0.541150i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −0.347973 | + | 0.602707i | −0.0197635 | + | 0.0342315i | ||||
\(311\) | 4.07709 | 0.231191 | 0.115595 | − | 0.993296i | \(-0.463122\pi\) | ||||
0.115595 | + | 0.993296i | \(0.463122\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 10.7777 | − | 18.6674i | 0.609189 | − | 1.05515i | −0.382186 | − | 0.924086i | \(-0.624828\pi\) |
0.991374 | − | 0.131060i | \(-0.0418382\pi\) | |||||||
\(314\) | 9.41083 | − | 16.3000i | 0.531084 | − | 0.919864i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 8.62501 | 0.485195 | ||||||||
\(317\) | −7.13339 | + | 12.3554i | −0.400651 | + | 0.693948i | −0.993805 | − | 0.111141i | \(-0.964549\pi\) |
0.593154 | + | 0.805089i | \(0.297883\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −15.0293 | + | 26.0315i | −0.841478 | + | 1.45748i | ||||
\(320\) | 1.74534 | + | 3.02301i | 0.0975672 | + | 0.168991i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −28.5517 | −1.59112 | ||||||||
\(323\) | −29.4996 | − | 15.3400i | −1.64140 | − | 0.853539i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −1.23994 | − | 2.14764i | −0.0687795 | − | 0.119130i | ||||
\(326\) | 6.75008 | + | 11.6915i | 0.373853 | + | 0.647532i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −5.61596 | − | 9.72712i | −0.310089 | − | 0.537091i | ||||
\(329\) | −1.51718 | + | 2.62783i | −0.0836448 | + | 0.144877i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 23.9646 | 1.31722 | 0.658608 | − | 0.752486i | \(-0.271146\pi\) | ||||
0.658608 | + | 0.752486i | \(0.271146\pi\) | |||||||
\(332\) | −0.725036 | + | 1.25580i | −0.0397915 | + | 0.0689209i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 14.5628 | 0.796843 | ||||||||
\(335\) | 9.63457 | 0.526393 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −16.3204 | − | 28.2678i | −0.889029 | − | 1.53984i | −0.841025 | − | 0.540996i | \(-0.818048\pi\) |
−0.0480033 | − | 0.998847i | \(-0.515286\pi\) | |||||||
\(338\) | 5.63980 | − | 9.76842i | 0.306765 | − | 0.531332i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −2.71300 | − | 4.69905i | −0.147133 | − | 0.254842i | ||||
\(341\) | −1.45449 | −0.0787652 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 27.1899 | 1.46812 | ||||||||
\(344\) | 2.63108 | + | 4.55717i | 0.141858 | + | 0.245706i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 14.4459 | − | 25.0210i | 0.776616 | − | 1.34514i | ||||
\(347\) | 8.41457 | + | 14.5745i | 0.451718 | + | 0.782398i | 0.998493 | − | 0.0548811i | \(-0.0174780\pi\) |
−0.546775 | + | 0.837280i | \(0.684145\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 2.46947 | 0.132188 | 0.0660939 | − | 0.997813i | \(-0.478946\pi\) | ||||
0.0660939 | + | 0.997813i | \(0.478946\pi\) | |||||||
\(350\) | 7.37662 | 0.394297 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 6.62793 | − | 11.4799i | 0.353270 | − | 0.611881i | ||||
\(353\) | −27.7653 | −1.47780 | −0.738900 | − | 0.673815i | \(-0.764654\pi\) | ||||
−0.738900 | + | 0.673815i | \(0.764654\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 1.92594 | − | 3.33583i | 0.102218 | − | 0.177048i | ||||
\(356\) | −1.11860 | − | 1.93747i | −0.0592857 | − | 0.102686i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 3.54754 | + | 6.14452i | 0.187493 | + | 0.324748i | ||||
\(359\) | −10.0245 | − | 17.3629i | −0.529072 | − | 0.916379i | −0.999425 | − | 0.0339009i | \(-0.989207\pi\) |
0.470354 | − | 0.882478i | \(-0.344126\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 8.01455 | − | 17.2269i | 0.421818 | − | 0.906680i | ||||
\(362\) | 10.4459 | 0.549023 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −3.95127 | − | 6.84380i | −0.207103 | − | 0.358712i | ||||
\(365\) | 8.39260 | − | 14.5364i | 0.439289 | − | 0.760871i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 3.33741 | − | 5.78056i | 0.174211 | − | 0.301743i | −0.765677 | − | 0.643225i | \(-0.777596\pi\) |
0.939888 | + | 0.341483i | \(0.110929\pi\) | |||||||
\(368\) | 19.0303 | 0.992023 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 3.21298 | − | 5.56504i | 0.167035 | − | 0.289313i | ||||
\(371\) | 25.7561 | − | 44.6109i | 1.33719 | − | 2.31608i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −12.4380 | −0.644014 | −0.322007 | − | 0.946737i | \(-0.604357\pi\) | ||||
−0.322007 | + | 0.946737i | \(0.604357\pi\) | |||||||
\(374\) | 21.6122 | − | 37.4334i | 1.11754 | − | 1.93563i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0.718628 | − | 1.24470i | 0.0370604 | − | 0.0641905i | ||||
\(377\) | −10.8303 | − | 18.7587i | −0.557790 | − | 0.966121i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 21.3994 | 1.09921 | 0.549607 | − | 0.835423i | \(-0.314777\pi\) | ||||
0.549607 | + | 0.835423i | \(0.314777\pi\) | |||||||
\(380\) | 2.61429 | − | 1.66711i | 0.134110 | − | 0.0855207i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 0.696349 | + | 1.20611i | 0.0356283 | + | 0.0617100i | ||||
\(383\) | 5.35405 | + | 9.27348i | 0.273579 | + | 0.473853i | 0.969776 | − | 0.243998i | \(-0.0784592\pi\) |
−0.696197 | + | 0.717851i | \(0.745126\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 7.70839 | + | 13.3513i | 0.392856 | + | 0.680446i | ||||
\(386\) | 10.8518 | − | 18.7959i | 0.552342 | − | 0.956685i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 1.42265 | 0.0722243 | ||||||||
\(389\) | −1.75466 | + | 3.03917i | −0.0889650 | + | 0.154092i | −0.907074 | − | 0.420971i | \(-0.861689\pi\) |
0.818109 | + | 0.575063i | \(0.195023\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 29.5247 | 1.49313 | ||||||||
\(392\) | −27.7324 | −1.40070 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 5.69079 | + | 9.85673i | 0.286698 | + | 0.496575i | ||||
\(395\) | 6.06262 | − | 10.5008i | 0.305044 | − | 0.528351i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −15.5995 | − | 27.0191i | −0.782916 | − | 1.35605i | −0.930236 | − | 0.366961i | \(-0.880398\pi\) |
0.147321 | − | 0.989089i | \(-0.452935\pi\) | |||||||
\(398\) | −22.0337 | −1.10445 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −4.91667 | −0.245833 | ||||||||
\(401\) | −9.87661 | − | 17.1068i | −0.493214 | − | 0.854272i | 0.506755 | − | 0.862090i | \(-0.330845\pi\) |
−0.999969 | + | 0.00781786i | \(0.997511\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0.524065 | − | 0.907708i | 0.0261055 | − | 0.0452161i | ||||
\(404\) | −0.717971 | − | 1.24356i | −0.0357204 | − | 0.0618696i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 64.4315 | 3.19768 | ||||||||
\(407\) | 13.4299 | 0.665697 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 1.06951 | − | 1.85244i | 0.0528838 | − | 0.0915974i | −0.838372 | − | 0.545099i | \(-0.816492\pi\) |
0.891255 | + | 0.453502i | \(0.149825\pi\) | |||||||
\(410\) | 8.71588 | 0.430446 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −2.30789 | + | 3.99739i | −0.113702 | + | 0.196937i | ||||
\(413\) | −19.1079 | − | 33.0958i | −0.940237 | − | 1.62854i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 1.01927 | + | 1.76543i | 0.0500341 | + | 0.0866616i | ||||
\(416\) | 4.77619 | + | 8.27260i | 0.234172 | + | 0.405598i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 21.9141 | + | 11.3955i | 1.07185 | + | 0.557370i | ||||
\(419\) | 5.70341 | 0.278630 | 0.139315 | − | 0.990248i | \(-0.455510\pi\) | ||||
0.139315 | + | 0.990248i | \(0.455510\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −19.5265 | − | 33.8209i | −0.951664 | − | 1.64833i | −0.741823 | − | 0.670595i | \(-0.766039\pi\) |
−0.209841 | − | 0.977736i | \(-0.567295\pi\) | |||||||
\(422\) | 12.1439 | − | 21.0339i | 0.591158 | − | 1.02392i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −12.1996 | + | 21.1304i | −0.592467 | + | 1.02618i | ||||
\(425\) | −7.62799 | −0.370012 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −18.3727 | + | 31.8225i | −0.889119 | + | 1.54000i | ||||
\(428\) | 1.40894 | − | 2.44036i | 0.0681039 | − | 0.117959i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −4.08340 | −0.196919 | ||||||||
\(431\) | 0.868782 | − | 1.50477i | 0.0418477 | − | 0.0724824i | −0.844343 | − | 0.535803i | \(-0.820009\pi\) |
0.886191 | + | 0.463321i | \(0.153342\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −11.8156 | + | 20.4652i | −0.567821 | + | 0.983495i | 0.428960 | + | 0.903324i | \(0.358880\pi\) |
−0.996781 | + | 0.0801716i | \(0.974453\pi\) | |||||||
\(434\) | 1.55888 | + | 2.70005i | 0.0748285 | + | 0.129607i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −2.11124 | −0.101110 | ||||||||
\(437\) | 0.743359 | + | 16.8550i | 0.0355597 | + | 0.806285i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 1.58465 | + | 2.74469i | 0.0756310 | + | 0.130997i | 0.901360 | − | 0.433070i | \(-0.142570\pi\) |
−0.825730 | + | 0.564066i | \(0.809236\pi\) | |||||||
\(440\) | −3.65116 | − | 6.32399i | −0.174062 | − | 0.301485i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 15.5741 | + | 26.9751i | 0.740783 | + | 1.28307i | ||||
\(443\) | 11.5916 | − | 20.0773i | 0.550736 | − | 0.953902i | −0.447486 | − | 0.894291i | \(-0.647681\pi\) |
0.998222 | − | 0.0596114i | \(-0.0189861\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −3.14511 | −0.149092 | ||||||||
\(446\) | 1.88400 | − | 3.26318i | 0.0892100 | − | 0.154516i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 15.6378 | 0.738816 | ||||||||
\(449\) | −13.2505 | −0.625328 | −0.312664 | − | 0.949864i | \(-0.601221\pi\) | ||||
−0.312664 | + | 0.949864i | \(0.601221\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 9.10788 | + | 15.7753i | 0.428873 | + | 0.742830i | ||||
\(452\) | −3.10038 | + | 5.37002i | −0.145830 | + | 0.252585i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −3.45371 | − | 5.98200i | −0.162091 | − | 0.280749i | ||||
\(455\) | −11.1096 | −0.520825 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 4.13077 | 0.193229 | 0.0966146 | − | 0.995322i | \(-0.469199\pi\) | ||||
0.0966146 | + | 0.995322i | \(0.469199\pi\) | |||||||
\(458\) | 21.6317 | + | 37.4672i | 1.01078 | + | 1.75073i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −1.37662 | + | 2.38437i | −0.0641852 | + | 0.111172i | ||||
\(461\) | 10.9292 | + | 18.9300i | 0.509026 | + | 0.881658i | 0.999945 | + | 0.0104535i | \(0.00332750\pi\) |
−0.490920 | + | 0.871205i | \(0.663339\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 30.9461 | 1.43819 | 0.719094 | − | 0.694913i | \(-0.244557\pi\) | ||||
0.719094 | + | 0.694913i | \(0.244557\pi\) | |||||||
\(464\) | −42.9449 | −1.99367 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −4.57963 | + | 7.93216i | −0.212147 | + | 0.367450i | ||||
\(467\) | −0.394259 | −0.0182441 | −0.00912207 | − | 0.999958i | \(-0.502904\pi\) | ||||
−0.00912207 | + | 0.999958i | \(0.502904\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 21.5809 | − | 37.3792i | 0.996512 | − | 1.72601i | ||||
\(470\) | 0.557649 | + | 0.965877i | 0.0257224 | + | 0.0445526i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 9.05065 | + | 15.6762i | 0.416590 | + | 0.721555i | ||||
\(473\) | −4.26705 | − | 7.39075i | −0.196199 | − | 0.339827i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.192054 | − | 4.35467i | −0.00881205 | − | 0.199806i | ||||
\(476\) | −24.3078 | −1.11415 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −5.63883 | − | 9.76674i | −0.257914 | − | 0.446720i | ||||
\(479\) | −3.52119 | + | 6.09888i | −0.160887 | + | 0.278665i | −0.935187 | − | 0.354154i | \(-0.884769\pi\) |
0.774300 | + | 0.632819i | \(0.218102\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −4.83891 | + | 8.38124i | −0.220635 | + | 0.382152i | ||||
\(482\) | 24.4397 | 1.11320 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −0.299749 | + | 0.519181i | −0.0136250 | + | 0.0235991i | ||||
\(485\) | 1.00000 | − | 1.73205i | 0.0454077 | − | 0.0786484i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 0.689174 | 0.0312295 | 0.0156147 | − | 0.999878i | \(-0.495029\pi\) | ||||
0.0156147 | + | 0.999878i | \(0.495029\pi\) | |||||||
\(488\) | 8.70244 | − | 15.0731i | 0.393941 | − | 0.682326i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 10.7600 | − | 18.6370i | 0.486089 | − | 0.841932i | ||||
\(491\) | 4.54736 | + | 7.87626i | 0.205219 | + | 0.355450i | 0.950203 | − | 0.311633i | \(-0.100876\pi\) |
−0.744983 | + | 0.667083i | \(0.767543\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −66.6272 | −3.00074 | ||||||||
\(494\) | −15.0074 | + | 9.57008i | −0.675215 | + | 0.430578i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −1.03902 | − | 1.79964i | −0.0466535 | − | 0.0808063i | ||||
\(497\) | −8.62799 | − | 14.9441i | −0.387018 | − | 0.670336i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 11.5404 | + | 19.9886i | 0.516619 | + | 0.894811i | 0.999814 | + | 0.0192976i | \(0.00614300\pi\) |
−0.483195 | + | 0.875513i | \(0.660524\pi\) | |||||||
\(500\) | 0.355663 | − | 0.616027i | 0.0159058 | − | 0.0275496i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 7.90793 | 0.352948 | ||||||||
\(503\) | −10.5982 | + | 18.3567i | −0.472552 | + | 0.818483i | −0.999507 | − | 0.0314099i | \(-0.990000\pi\) |
0.526955 | + | 0.849893i | \(0.323334\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −2.01868 | −0.0898302 | ||||||||
\(506\) | −21.9327 | −0.975029 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 1.62799 | + | 2.81977i | 0.0722306 | + | 0.125107i | ||||
\(509\) | 9.12649 | − | 15.8075i | 0.404525 | − | 0.700657i | −0.589741 | − | 0.807592i | \(-0.700770\pi\) |
0.994266 | + | 0.106935i | \(0.0341037\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −37.5979 | − | 65.1214i | −1.66323 | − | 2.88080i | ||||
\(512\) | −1.92701 | −0.0851627 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −5.75861 | −0.254001 | ||||||||
\(515\) | 3.24449 | + | 5.61962i | 0.142969 | + | 0.247630i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −1.16546 | + | 2.01864i | −0.0512569 | + | 0.0887795i | ||||
\(518\) | −14.3938 | − | 24.9307i | −0.632425 | − | 1.09539i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 5.26217 | 0.230761 | ||||||||
\(521\) | 34.4874 | 1.51092 | 0.755461 | − | 0.655194i | \(-0.227413\pi\) | ||||
0.755461 | + | 0.655194i | \(0.227413\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −8.06993 | + | 13.9775i | −0.352874 | + | 0.611195i | −0.986752 | − | 0.162238i | \(-0.948129\pi\) |
0.633878 | + | 0.773433i | \(0.281462\pi\) | |||||||
\(524\) | 14.7051 | 0.642395 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −4.30788 | + | 7.46147i | −0.187833 | + | 0.325336i | ||||
\(527\) | −1.61200 | − | 2.79207i | −0.0702198 | − | 0.121624i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 4.00935 | + | 6.94440i | 0.174320 | + | 0.301931i | ||||
\(530\) | −9.46683 | − | 16.3970i | −0.411213 | − | 0.712241i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −0.612011 | − | 13.8768i | −0.0265341 | − | 0.601637i | ||||
\(533\) | −13.1266 | −0.568574 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −1.98073 | − | 3.43072i | −0.0856343 | − | 0.148323i | ||||
\(536\) | −10.2220 | + | 17.7050i | −0.441523 | + | 0.764741i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −13.0892 | + | 22.6711i | −0.564315 | + | 0.977423i | ||||
\(539\) | 44.9759 | 1.93725 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −8.46634 | + | 14.6641i | −0.363996 | + | 0.630460i | −0.988615 | − | 0.150470i | \(-0.951921\pi\) |
0.624618 | + | 0.780930i | \(0.285255\pi\) | |||||||
\(542\) | −8.22959 | + | 14.2541i | −0.353491 | + | 0.612264i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 29.3827 | 1.25977 | ||||||||
\(545\) | −1.48402 | + | 2.57039i | −0.0635683 | + | 0.110104i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 14.6871 | − | 25.4389i | 0.627977 | − | 1.08769i | −0.359981 | − | 0.932960i | \(-0.617217\pi\) |
0.987957 | − | 0.154728i | \(-0.0494500\pi\) | |||||||
\(548\) | 6.26963 | + | 10.8593i | 0.267825 | + | 0.463887i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 5.66654 | 0.241622 | ||||||||
\(551\) | −1.67751 | − | 38.0361i | −0.0714643 | − | 1.62039i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −27.1598 | − | 47.0422i | −1.15495 | − | 2.00044i | ||||
\(554\) | −3.36418 | − | 5.82693i | −0.142930 | − | 0.247563i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −4.17355 | − | 7.22880i | −0.176998 | − | 0.306570i | ||||
\(557\) | 4.29322 | − | 7.43608i | 0.181910 | − | 0.315077i | −0.760621 | − | 0.649196i | \(-0.775105\pi\) |
0.942531 | + | 0.334119i | \(0.108439\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 6.14981 | 0.260109 | ||||||||
\(560\) | −11.0130 | + | 19.0751i | −0.465386 | + | 0.806072i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 19.1639 | 0.808381 | ||||||||
\(563\) | −2.59685 | −0.109444 | −0.0547221 | − | 0.998502i | \(-0.517427\pi\) | ||||
−0.0547221 | + | 0.998502i | \(0.517427\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 4.35859 | + | 7.54931i | 0.183367 | + | 0.317602i | ||||
\(566\) | −3.58814 | + | 6.21483i | −0.150821 | + | 0.261229i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 4.08674 | + | 7.07844i | 0.171476 | + | 0.297005i | ||||
\(569\) | 33.8768 | 1.42019 | 0.710094 | − | 0.704107i | \(-0.248652\pi\) | ||||
0.710094 | + | 0.704107i | \(0.248652\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −10.6731 | −0.446657 | −0.223329 | − | 0.974743i | \(-0.571692\pi\) | ||||
−0.223329 | + | 0.974743i | \(0.571692\pi\) | |||||||
\(572\) | −3.03527 | − | 5.25724i | −0.126911 | − | 0.219816i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 19.5230 | − | 33.8149i | 0.814876 | − | 1.41141i | ||||
\(575\) | 1.93528 | + | 3.35201i | 0.0807069 | + | 0.139788i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −11.6607 | −0.485440 | −0.242720 | − | 0.970096i | \(-0.578040\pi\) | ||||
−0.242720 | + | 0.970096i | \(0.578040\pi\) | |||||||
\(578\) | 67.8178 | 2.82085 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 3.10656 | − | 5.38072i | 0.128993 | − | 0.223422i | ||||
\(581\) | 9.13244 | 0.378877 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 19.7852 | − | 34.2690i | 0.819419 | − | 1.41928i | ||||
\(584\) | 17.8086 | + | 30.8454i | 0.736926 | + | 1.27639i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −5.92972 | − | 10.2706i | −0.244954 | − | 0.424274i | ||||
\(587\) | 20.1362 | + | 34.8770i | 0.831112 | + | 1.43953i | 0.897157 | + | 0.441711i | \(0.145628\pi\) |
−0.0660456 | + | 0.997817i | \(0.521038\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 1.55335 | − | 0.990555i | 0.0640045 | − | 0.0408151i | ||||
\(590\) | −14.0465 | −0.578284 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 9.59373 | + | 16.6168i | 0.394300 | + | 0.682948i | ||||
\(593\) | −7.05130 | + | 12.2132i | −0.289562 | + | 0.501537i | −0.973705 | − | 0.227811i | \(-0.926843\pi\) |
0.684143 | + | 0.729348i | \(0.260176\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −17.0863 | + | 29.5943i | −0.700468 | + | 1.21325i | ||||
\(596\) | 15.3397 | 0.628338 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 7.90253 | − | 13.6876i | 0.323159 | − | 0.559727i | ||||
\(599\) | −5.24355 | + | 9.08209i | −0.214246 | + | 0.371084i | −0.953039 | − | 0.302848i | \(-0.902063\pi\) |
0.738793 | + | 0.673932i | \(0.235396\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 21.0718 | 0.859539 | 0.429769 | − | 0.902939i | \(-0.358595\pi\) | ||||
0.429769 | + | 0.902939i | \(0.358595\pi\) | |||||||
\(602\) | −9.14657 | + | 15.8423i | −0.372786 | + | 0.645685i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −6.51227 | + | 11.2796i | −0.264981 | + | 0.458960i | ||||
\(605\) | 0.421395 | + | 0.729877i | 0.0171321 | + | 0.0296737i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −22.2759 | −0.904149 | −0.452074 | − | 0.891980i | \(-0.649316\pi\) | ||||
−0.452074 | + | 0.891980i | \(0.649316\pi\) | |||||||
\(608\) | 0.739784 | + | 16.7740i | 0.0300022 | + | 0.680274i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 6.75303 | + | 11.6966i | 0.273422 | + | 0.473581i | ||||
\(611\) | −0.839849 | − | 1.45466i | −0.0339766 | − | 0.0588493i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 8.94766 | + | 15.4978i | 0.361393 | + | 0.625950i | 0.988190 | − | 0.153232i | \(-0.0489681\pi\) |
−0.626798 | + | 0.779182i | \(0.715635\pi\) | |||||||
\(614\) | −13.4043 | + | 23.2170i | −0.540955 | + | 0.936961i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −32.7135 | −1.31806 | ||||||||
\(617\) | 8.81560 | − | 15.2691i | 0.354903 | − | 0.614710i | −0.632198 | − | 0.774806i | \(-0.717847\pi\) |
0.987101 | + | 0.160097i | \(0.0511806\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −49.2003 | −1.97753 | −0.988763 | − | 0.149490i | \(-0.952237\pi\) | ||||
−0.988763 | + | 0.149490i | \(0.952237\pi\) | |||||||
\(620\) | 0.300645 | 0.0120742 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −3.35669 | − | 5.81396i | −0.134591 | − | 0.233118i | ||||
\(623\) | −7.04485 | + | 12.2020i | −0.282246 | + | 0.488865i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | −35.4932 | −1.41859 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −8.13085 | −0.324456 | ||||||||
\(629\) | 14.8843 | + | 25.7803i | 0.593474 | + | 1.02793i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 16.6592 | − | 28.8547i | 0.663194 | − | 1.14869i | −0.316578 | − | 0.948567i | \(-0.602534\pi\) |
0.979772 | − | 0.200119i | \(-0.0641329\pi\) | |||||||
\(632\) | 12.8645 | + | 22.2820i | 0.511724 | + | 0.886332i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 23.4918 | 0.932980 | ||||||||
\(635\) | 4.57735 | 0.181646 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −16.2052 | + | 28.0682i | −0.642073 | + | 1.11210i | ||||
\(638\) | 49.4947 | 1.95951 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 6.72584 | − | 11.6495i | 0.265862 | − | 0.460487i | ||||
\(641\) | 6.61110 | + | 11.4508i | 0.261123 | + | 0.452278i | 0.966541 | − | 0.256514i | \(-0.0825739\pi\) |
−0.705418 | + | 0.708792i | \(0.749241\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 0.951267 | + | 1.64764i | 0.0375143 | + | 0.0649767i | 0.884173 | − | 0.467160i | \(-0.154723\pi\) |
−0.846659 | + | 0.532136i | \(0.821389\pi\) | |||||||
\(644\) | 6.16709 | + | 10.6817i | 0.243017 | + | 0.420918i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 2.41227 | + | 54.6961i | 0.0949093 | + | 2.15199i | ||||
\(647\) | −27.2141 | −1.06989 | −0.534947 | − | 0.844885i | \(-0.679669\pi\) | ||||
−0.534947 | + | 0.844885i | \(0.679669\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −14.6782 | − | 25.4234i | −0.576170 | − | 0.997956i | ||||
\(650\) | −2.04170 | + | 3.53633i | −0.0800820 | + | 0.138706i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 2.91600 | − | 5.05066i | 0.114199 | − | 0.197799i | ||||
\(653\) | 43.6980 | 1.71004 | 0.855018 | − | 0.518599i | \(-0.173546\pi\) | ||||
0.855018 | + | 0.518599i | \(0.173546\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 10.3364 | − | 17.9031i | 0.403876 | − | 0.699533i | ||||
\(656\) | −13.0125 | + | 22.5383i | −0.508053 | + | 0.879974i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 4.99640 | 0.194780 | ||||||||
\(659\) | −3.43672 | + | 5.95258i | −0.133876 | + | 0.231879i | −0.925167 | − | 0.379559i | \(-0.876076\pi\) |
0.791292 | + | 0.611439i | \(0.209409\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −18.6491 | + | 32.3012i | −0.725367 | + | 1.25637i | 0.233456 | + | 0.972367i | \(0.424996\pi\) |
−0.958823 | + | 0.284005i | \(0.908337\pi\) | |||||||
\(662\) | −19.7302 | − | 34.1737i | −0.766837 | − | 1.32820i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −4.32568 | −0.167869 | ||||||||
\(665\) | −17.3249 | − | 9.00908i | −0.671833 | − | 0.349357i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 16.9038 | + | 29.2783i | 0.654520 | + | 1.13366i | ||||
\(668\) | −3.14553 | − | 5.44822i | −0.121704 | − | 0.210798i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −7.93220 | − | 13.7390i | −0.306447 | − | 0.530783i | ||||
\(671\) | −14.1135 | + | 24.4453i | −0.544845 | + | 0.943700i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 50.6185 | 1.95120 | 0.975601 | − | 0.219553i | \(-0.0704597\pi\) | ||||
0.975601 | + | 0.219553i | \(0.0704597\pi\) | |||||||
\(674\) | −26.8733 | + | 46.5460i | −1.03512 | + | 1.79288i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −4.87273 | −0.187413 | ||||||||
\(677\) | −33.8725 | −1.30182 | −0.650912 | − | 0.759153i | \(-0.725613\pi\) | ||||
−0.650912 | + | 0.759153i | \(0.725613\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −4.47988 | − | 7.75938i | −0.171922 | − | 0.297778i | ||||
\(680\) | 8.09309 | − | 14.0176i | 0.310356 | − | 0.537552i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 1.19749 | + | 2.07412i | 0.0458543 | + | 0.0794220i | ||||
\(683\) | −47.0846 | −1.80164 | −0.900822 | − | 0.434190i | \(-0.857035\pi\) | ||||
−0.900822 | + | 0.434190i | \(0.857035\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 17.6280 | 0.673531 | ||||||||
\(686\) | −22.3856 | − | 38.7729i | −0.854685 | − | 1.48036i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 6.09637 | − | 10.5592i | 0.232422 | − | 0.402567i | ||||
\(689\) | 14.2575 | + | 24.6948i | 0.543169 | + | 0.940796i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 3.91269 | 0.148846 | 0.0744228 | − | 0.997227i | \(-0.476289\pi\) | ||||
0.0744228 | + | 0.997227i | \(0.476289\pi\) | |||||||
\(692\) | −12.4811 | −0.474460 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 13.8555 | − | 23.9985i | 0.525949 | − | 0.910970i | ||||
\(695\) | −11.7346 | −0.445117 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −20.1883 | + | 34.9672i | −0.764688 | + | 1.32448i | ||||
\(698\) | −2.03313 | − | 3.52148i | −0.0769551 | − | 0.133290i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −1.59333 | − | 2.75973i | −0.0602222 | − | 0.104308i | ||||
\(701\) | 6.60352 | + | 11.4376i | 0.249411 | + | 0.431993i | 0.963363 | − | 0.268202i | \(-0.0864295\pi\) |
−0.713951 | + | 0.700195i | \(0.753096\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −14.3427 | + | 9.14620i | −0.540945 | + | 0.344955i | ||||
\(704\) | 12.0126 | 0.452741 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 22.8594 | + | 39.5936i | 0.860323 | + | 1.49012i | ||||
\(707\) | −4.52173 | + | 7.83186i | −0.170057 | + | 0.294547i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 8.99856 | − | 15.5860i | 0.337948 | − | 0.585343i | −0.646099 | − | 0.763254i | \(-0.723600\pi\) |
0.984047 | + | 0.177911i | \(0.0569338\pi\) | |||||||
\(710\) | −6.34256 | −0.238032 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 3.33687 | − | 5.77963i | 0.125054 | − | 0.216601i | ||||
\(713\) | −0.817955 | + | 1.41674i | −0.0306326 | + | 0.0530573i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −8.53410 | −0.319157 | ||||||||
\(716\) | 1.53252 | − | 2.65440i | 0.0572728 | − | 0.0991995i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −16.5064 | + | 28.5899i | −0.616014 | + | 1.06697i | ||||
\(719\) | −6.23909 | − | 10.8064i | −0.232679 | − | 0.403012i | 0.725917 | − | 0.687783i | \(-0.241416\pi\) |
−0.958596 | + | 0.284771i | \(0.908082\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 29.0698 | 1.08262 | ||||||||
\(722\) | −31.1641 | + | 2.75423i | −1.15981 | + | 0.102502i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −2.25628 | − | 3.90800i | −0.0838541 | − | 0.145240i | ||||
\(725\) | −4.36728 | − | 7.56435i | −0.162197 | − | 0.280933i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 21.7065 | + | 37.5968i | 0.805051 | + | 1.39439i | 0.916257 | + | 0.400592i | \(0.131195\pi\) |
−0.111206 | + | 0.993797i | \(0.535471\pi\) | |||||||
\(728\) | 11.7869 | − | 20.4156i | 0.436853 | − | 0.756651i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −27.6387 | −1.02295 | ||||||||
\(731\) | 9.45826 | − | 16.3822i | 0.349826 | − | 0.605917i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −28.5740 | −1.05540 | −0.527702 | − | 0.849430i | \(-0.676946\pi\) | ||||
−0.527702 | + | 0.849430i | \(0.676946\pi\) | |||||||
\(734\) | −10.9908 | −0.405678 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −7.45462 | − | 12.9118i | −0.274781 | − | 0.475935i | ||||
\(737\) | 16.5779 | − | 28.7138i | 0.610655 | − | 1.05769i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 4.61769 | + | 7.99807i | 0.169864 | + | 0.294214i | 0.938372 | − | 0.345627i | \(-0.112334\pi\) |
−0.768508 | + | 0.639841i | \(0.779000\pi\) | |||||||
\(740\) | −2.77598 | −0.102047 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −84.8205 | −3.11386 | ||||||||
\(743\) | −2.51875 | − | 4.36259i | −0.0924038 | − | 0.160048i | 0.816118 | − | 0.577885i | \(-0.196122\pi\) |
−0.908522 | + | 0.417837i | \(0.862788\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 10.7824 | − | 18.6757i | 0.395038 | − | 0.684226i | ||||
\(746\) | 10.2402 | + | 17.7366i | 0.374922 | + | 0.649384i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −18.6727 | −0.682741 | ||||||||
\(749\) | −17.7468 | −0.648456 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −6.41366 | + | 11.1088i | −0.234038 | + | 0.405365i | −0.958993 | − | 0.283431i | \(-0.908527\pi\) |
0.724955 | + | 0.688796i | \(0.241861\pi\) | |||||||
\(752\) | −3.33021 | −0.121440 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −17.8333 | + | 30.8882i | −0.649452 | + | 1.12488i | ||||
\(755\) | 9.15510 | + | 15.8571i | 0.333188 | + | 0.577099i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −12.9425 | − | 22.4171i | −0.470404 | − | 0.814764i | 0.529023 | − | 0.848608i | \(-0.322559\pi\) |
−0.999427 | + | 0.0338435i | \(0.989225\pi\) | |||||||
\(758\) | −17.6183 | − | 30.5157i | −0.639924 | − | 1.10838i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 8.20614 | + | 4.26725i | 0.297668 | + | 0.154789i | ||||
\(761\) | 28.9722 | 1.05024 | 0.525121 | − | 0.851028i | \(-0.324020\pi\) | ||||
0.525121 | + | 0.851028i | \(0.324020\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 6.64822 | + | 11.5151i | 0.240682 | + | 0.416873i | ||||
\(764\) | 0.300819 | − | 0.521033i | 0.0108832 | − | 0.0188503i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 8.81603 | − | 15.2698i | 0.318536 | − | 0.551721i | ||||
\(767\) | 21.1547 | 0.763852 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −2.72690 | + | 4.72313i | −0.0983345 | + | 0.170320i | −0.910995 | − | 0.412417i | \(-0.864685\pi\) |
0.812661 | + | 0.582737i | \(0.198018\pi\) | |||||||
\(770\) | 12.6927 | − | 21.9844i | 0.457414 | − | 0.792263i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −9.37584 | −0.337444 | ||||||||
\(773\) | −23.5060 | + | 40.7135i | −0.845451 | + | 1.46436i | 0.0397783 | + | 0.999209i | \(0.487335\pi\) |
−0.885229 | + | 0.465155i | \(0.845999\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0.211327 | − | 0.366029i | 0.00759108 | − | 0.0131481i | ||||
\(776\) | 2.12194 | + | 3.67531i | 0.0761733 | + | 0.131936i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 5.77850 | 0.207169 | ||||||||
\(779\) | −20.4704 | − | 10.6447i | −0.733427 | − | 0.381387i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −6.62782 | − | 11.4797i | −0.237162 | − | 0.410776i | ||||
\(782\) | −24.3078 | − | 42.1024i | −0.869246 | − | 1.50558i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 32.1288 | + | 55.6487i | 1.14746 | + | 1.98745i | ||||
\(785\) | −5.71527 | + | 9.89914i | −0.203987 | + | 0.353316i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 3.86923 | 0.137923 | 0.0689616 | − | 0.997619i | \(-0.478031\pi\) | ||||
0.0689616 | + | 0.997619i | \(0.478031\pi\) | |||||||
\(788\) | 2.45839 | − | 4.25805i | 0.0875764 | − | 0.151687i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −19.9656 | −0.710343 | ||||||||
\(791\) | 39.0520 | 1.38853 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −10.1704 | − | 17.6157i | −0.361162 | − | 0.625550i | ||||
\(794\) | −25.6863 | + | 44.4899i | −0.911572 | + | 1.57889i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 4.75921 | + | 8.24320i | 0.168686 | + | 0.292173i | ||||
\(797\) | 12.6814 | 0.449198 | 0.224599 | − | 0.974451i | \(-0.427893\pi\) | ||||
0.224599 | + | 0.974451i | \(0.427893\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −5.16667 | −0.182784 | ||||||||
\(800\) | 1.92598 | + | 3.33589i | 0.0680935 | + | 0.117941i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −16.2629 | + | 28.1682i | −0.574264 | + | 0.994654i | ||||
\(803\) | −28.8818 | − | 50.0247i | −1.01922 | − | 1.76533i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 17.3397 | 0.611143 | ||||||||
\(806\) | −1.72586 | −0.0607909 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 2.14176 | − | 3.70964i | 0.0753470 | − | 0.130505i | ||||
\(809\) | −33.2439 | −1.16879 | −0.584397 | − | 0.811468i | \(-0.698669\pi\) | ||||
−0.584397 | + | 0.811468i | \(0.698669\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 1.43265 | − | 2.48142i | 0.0503072 | − | 0.0871346i | −0.839775 | − | 0.542934i | \(-0.817313\pi\) |
0.890082 | + | 0.455800i | \(0.150647\pi\) | |||||||
\(812\) | −13.9170 | − | 24.1050i | −0.488392 | − | 0.845920i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −11.0569 | − | 19.1512i | −0.387545 | − | 0.671248i | ||||
\(815\) | −4.09938 | − | 7.10034i | −0.143595 | − | 0.248714i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 9.59039 | + | 4.98706i | 0.335525 | + | 0.174475i | ||||
\(818\) | −3.52213 | −0.123148 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −1.88261 | − | 3.26077i | −0.0657434 | − | 0.113871i | ||||
\(821\) | −7.18851 | + | 12.4509i | −0.250881 | + | 0.434538i | −0.963769 | − | 0.266740i | \(-0.914054\pi\) |
0.712888 | + | 0.701278i | \(0.247387\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −28.3639 | + | 49.1277i | −0.988702 | + | 1.71248i | −0.364540 | + | 0.931188i | \(0.618774\pi\) |
−0.624163 | + | 0.781294i | \(0.714560\pi\) | |||||||
\(824\) | −13.7692 | −0.479674 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −31.4632 | + | 54.4959i | −1.09475 | + | 1.89616i | ||||
\(827\) | 10.0977 | − | 17.4897i | 0.351131 | − | 0.608177i | −0.635317 | − | 0.772252i | \(-0.719130\pi\) |
0.986448 | + | 0.164074i | \(0.0524637\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 38.0954 | 1.32311 | 0.661554 | − | 0.749898i | \(-0.269897\pi\) | ||||
0.661554 | + | 0.749898i | \(0.269897\pi\) | |||||||
\(830\) | 1.67835 | − | 2.90698i | 0.0582562 | − | 0.100903i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −4.32822 | + | 7.49670i | −0.150054 | + | 0.259901i | ||||
\(833\) | 49.8464 | + | 86.3365i | 1.72708 | + | 2.99138i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −8.84413 | −0.306064 | ||||||||
\(836\) | −0.470132 | − | 10.6598i | −0.0162599 | − | 0.368679i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −4.69565 | − | 8.13311i | −0.162209 | − | 0.280954i | ||||
\(839\) | 19.1320 | + | 33.1376i | 0.660511 | + | 1.14404i | 0.980482 | + | 0.196611i | \(0.0629934\pi\) |
−0.319971 | + | 0.947427i | \(0.603673\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −23.6462 | − | 40.9565i | −0.815388 | − | 1.41229i | ||||
\(842\) | −32.1526 | + | 55.6899i | −1.10805 | + | 1.91920i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −10.4922 | −0.361158 | ||||||||
\(845\) | −3.42510 | + | 5.93244i | −0.117827 | + | 0.204082i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 3.77560 | 0.129731 | ||||||||
\(848\) | 56.5346 | 1.94141 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 6.28017 | + | 10.8776i | 0.215408 | + | 0.373098i | ||||
\(851\) | 7.55251 | − | 13.0813i | 0.258897 | − | 0.448422i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −1.71697 | − | 2.97387i | −0.0587878 | − | 0.101823i | 0.835134 | − | 0.550047i | \(-0.185390\pi\) |
−0.893922 | + | 0.448224i | \(0.852057\pi\) | |||||||
\(854\) | 60.5055 | 2.07046 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 8.40598 | 0.287311 | ||||||||
\(857\) | −13.6630 | − | 23.6650i | −0.466719 | − | 0.808382i | 0.532558 | − | 0.846394i | \(-0.321231\pi\) |
−0.999277 | + | 0.0380118i | \(0.987898\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 22.0603 | − | 38.2096i | 0.752689 | − | 1.30370i | −0.193826 | − | 0.981036i | \(-0.562090\pi\) |
0.946515 | − | 0.322660i | \(-0.104577\pi\) | |||||||
\(860\) | 0.882003 | + | 1.52767i | 0.0300760 | + | 0.0520932i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −2.86109 | −0.0974491 | ||||||||
\(863\) | 41.3721 | 1.40832 | 0.704161 | − | 0.710040i | \(-0.251323\pi\) | ||||
0.704161 | + | 0.710040i | \(0.251323\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −8.77310 | + | 15.1955i | −0.298294 | + | 0.516661i | ||||
\(866\) | 38.9114 | 1.32226 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0.673427 | − | 1.16641i | 0.0228576 | − | 0.0395905i | ||||
\(869\) | −20.8635 | − | 36.1367i | −0.707746 | − | 1.22585i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 11.9463 | + | 20.6916i | 0.404785 | + | 0.701108i | ||||
\(872\) | −3.14900 | − | 5.45423i | −0.106639 | − | 0.184703i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 23.4234 | − | 14.9369i | 0.792307 | − | 0.505247i | ||||
\(875\) | −4.47988 | −0.151448 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −28.3151 | − | 49.0432i | −0.956134 | − | 1.65607i | −0.731751 | − | 0.681572i | \(-0.761297\pi\) |
−0.224383 | − | 0.974501i | \(-0.572037\pi\) | |||||||
\(878\) | 2.60929 | − | 4.51943i | 0.0880594 | − | 0.152523i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −8.45995 | + | 14.6531i | −0.285185 | + | 0.493955i | ||||
\(881\) | 1.34253 | 0.0452311 | 0.0226156 | − | 0.999744i | \(-0.492801\pi\) | ||||
0.0226156 | + | 0.999744i | \(0.492801\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −13.3420 | + | 23.1089i | −0.448993 | + | 0.777678i | −0.998321 | − | 0.0579288i | \(-0.981550\pi\) |
0.549328 | + | 0.835607i | \(0.314884\pi\) | |||||||
\(884\) | 6.72791 | − | 11.6531i | 0.226284 | − | 0.391936i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −38.1739 | −1.28248 | ||||||||
\(887\) | 13.8879 | − | 24.0545i | 0.466309 | − | 0.807671i | −0.532950 | − | 0.846147i | \(-0.678917\pi\) |
0.999260 | + | 0.0384753i | \(0.0122501\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 10.2530 | − | 17.7587i | 0.343874 | − | 0.595607i | ||||
\(890\) | 2.58938 | + | 4.48494i | 0.0867963 | + | 0.150336i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −1.62776 | −0.0545013 | ||||||||
\(893\) | −0.130084 | − | 2.94955i | −0.00435310 | − | 0.0987028i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −2.15445 | − | 3.73161i | −0.0720153 | − | 0.124734i | ||||
\(896\) | −30.1310 | − | 52.1884i | −1.00660 | − | 1.74349i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 10.9092 | + | 18.8953i | 0.364044 | + | 0.630543i | ||||
\(899\) | 1.84585 | − | 3.19710i | 0.0615624 | − | 0.106629i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 87.7110 | 2.92208 | ||||||||
\(902\) | 14.9971 | − | 25.9758i | 0.499350 | − | 0.864899i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −18.4974 | −0.615214 | ||||||||
\(905\) | −6.34387 | −0.210877 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −3.69599 | − | 6.40164i | −0.122723 | − | 0.212563i | 0.798117 | − | 0.602502i | \(-0.205829\pi\) |
−0.920841 | + | 0.389939i | \(0.872496\pi\) | |||||||
\(908\) | −1.49198 | + | 2.58419i | −0.0495132 | + | 0.0857594i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 9.14657 | + | 15.8423i | 0.303206 | + | 0.525168i | ||||
\(911\) | −13.3084 | −0.440926 | −0.220463 | − | 0.975395i | \(-0.570757\pi\) | ||||
−0.220463 | + | 0.975395i | \(0.570757\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 7.01532 | 0.232173 | ||||||||
\(914\) | −3.40088 | − | 5.89050i | −0.112491 | − | 0.194841i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 9.34477 | − | 16.1856i | 0.308760 | − | 0.534788i | ||||
\(917\) | −46.3058 | − | 80.2039i | −1.52915 | − | 2.64857i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −27.8298 | −0.918022 | −0.459011 | − | 0.888431i | \(-0.651796\pi\) | ||||
−0.459011 | + | 0.888431i | \(0.651796\pi\) | |||||||
\(920\) | −8.21312 | −0.270779 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 17.9962 | − | 31.1704i | 0.592674 | − | 1.02654i | ||||
\(923\) | 9.55222 | 0.314415 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −1.95127 | + | 3.37969i | −0.0641573 | + | 0.111124i | ||||
\(926\) | −25.4781 | − | 44.1294i | −0.837262 | − | 1.45018i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 16.8225 | + | 29.1375i | 0.552227 | + | 0.956485i | ||||
\(929\) | 3.17108 | + | 5.49247i | 0.104040 | + | 0.180202i | 0.913345 | − | 0.407186i | \(-0.133490\pi\) |
−0.809306 | + | 0.587388i | \(0.800156\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −48.0327 | + | 30.6300i | −1.57421 | + | 1.00386i | ||||
\(932\) | 3.95675 | 0.129608 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 0.324596 | + | 0.562216i | 0.0106211 | + | 0.0183963i | ||||
\(935\) | −13.1252 | + | 22.7336i | −0.429241 | + | 0.743468i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 21.9869 | − | 38.0825i | 0.718282 | − | 1.24410i | −0.243398 | − | 0.969926i | \(-0.578262\pi\) |
0.961680 | − | 0.274174i | \(-0.0884045\pi\) | |||||||
\(938\) | −71.0706 | −2.32054 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0.240901 | − | 0.417254i | 0.00785734 | − | 0.0136093i | ||||
\(941\) | 7.97283 | − | 13.8093i | 0.259907 | − | 0.450172i | −0.706310 | − | 0.707903i | \(-0.749642\pi\) |
0.966217 | + | 0.257731i | \(0.0829749\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 20.4878 | 0.667174 | ||||||||
\(944\) | 20.9709 | − | 36.3226i | 0.682544 | − | 1.18220i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −7.02617 | + | 12.1697i | −0.228441 | + | 0.395671i | ||||
\(947\) | −1.55287 | − | 2.68965i | −0.0504615 | − | 0.0874018i | 0.839691 | − | 0.543064i | \(-0.182736\pi\) |
−0.890153 | + | 0.455662i | \(0.849403\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 41.6253 | 1.35121 | ||||||||
\(950\) | −6.05166 | + | 3.85909i | −0.196342 | + | 0.125205i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −36.2561 | − | 62.7973i | −1.17507 | − | 2.03527i | ||||
\(953\) | −10.2628 | − | 17.7757i | −0.332445 | − | 0.575812i | 0.650545 | − | 0.759467i | \(-0.274540\pi\) |
−0.982991 | + | 0.183655i | \(0.941207\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −0.422898 | − | 0.732481i | −0.0136847 | − | 0.0237025i | ||||
\(956\) | −2.43594 | + | 4.21918i | −0.0787840 | + | 0.136458i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 11.5961 | 0.374651 | ||||||||
\(959\) | 39.4857 | − | 68.3912i | 1.27506 | − | 2.20847i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −30.8214 | −0.994238 | ||||||||
\(962\) | 15.9356 | 0.513784 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −5.27891 | − | 9.14334i | −0.170022 | − | 0.294487i | ||||
\(965\) | −6.59039 | + | 11.4149i | −0.212152 | + | 0.367458i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −12.4113 | − | 21.4970i | −0.399120 | − | 0.691296i | 0.594498 | − | 0.804097i | \(-0.297351\pi\) |
−0.993618 | + | 0.112801i | \(0.964018\pi\) | |||||||
\(968\) | −1.78835 | −0.0574798 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −3.29322 | −0.105739 | ||||||||
\(971\) | −18.2999 | − | 31.6963i | −0.587271 | − | 1.01718i | −0.994588 | − | 0.103896i | \(-0.966869\pi\) |
0.407318 | − | 0.913287i | \(-0.366464\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −26.2847 | + | 45.5264i | −0.842649 | + | 1.45951i | ||||
\(974\) | −0.567401 | − | 0.982767i | −0.0181807 | − | 0.0314899i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −40.3282 | −1.29087 | ||||||||
\(977\) | −31.6228 | −1.01170 | −0.505851 | − | 0.862621i | \(-0.668822\pi\) | ||||
−0.505851 | + | 0.862621i | \(0.668822\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −5.41168 | + | 9.37331i | −0.172958 | + | 0.299572i | ||||
\(980\) | −9.29656 | −0.296968 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 7.48773 | − | 12.9691i | 0.238943 | − | 0.413862i | ||||
\(983\) | 22.8804 | + | 39.6300i | 0.729771 | + | 1.26400i | 0.956980 | + | 0.290154i | \(0.0937067\pi\) |
−0.227209 | + | 0.973846i | \(0.572960\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −3.45606 | − | 5.98607i | −0.110119 | − | 0.190732i | ||||
\(986\) | 54.8545 | + | 95.0108i | 1.74692 | + | 3.02576i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 6.82190 | + | 3.54743i | 0.217034 | + | 0.112859i | ||||
\(989\) | −9.59855 | −0.305216 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −13.2056 | − | 22.8728i | −0.419490 | − | 0.726579i | 0.576398 | − | 0.817169i | \(-0.304458\pi\) |
−0.995888 | + | 0.0905905i | \(0.971125\pi\) | |||||||
\(992\) | −0.814021 | + | 1.40993i | −0.0258452 | + | 0.0447652i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −14.2069 | + | 24.6072i | −0.450617 | + | 0.780492i | ||||
\(995\) | 13.3812 | 0.424214 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 20.5781 | − | 35.6423i | 0.651714 | − | 1.12880i | −0.330992 | − | 0.943633i | \(-0.607383\pi\) |
0.982707 | − | 0.185169i | \(-0.0592832\pi\) | |||||||
\(998\) | 19.0025 | − | 32.9134i | 0.601515 | − | 1.04185i | ||||
\(999\) | 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 | 855.2.k.i.406.2 | 10 | ||
3.2 | odd | 2 | 285.2.i.f.121.4 | yes | 10 | ||
19.11 | even | 3 | inner | 855.2.k.i.676.2 | 10 | ||
57.11 | odd | 6 | 285.2.i.f.106.4 | ✓ | 10 | ||
57.26 | odd | 6 | 5415.2.a.y.1.2 | 5 | |||
57.50 | even | 6 | 5415.2.a.z.1.4 | 5 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
285.2.i.f.106.4 | ✓ | 10 | 57.11 | odd | 6 | ||
285.2.i.f.121.4 | yes | 10 | 3.2 | odd | 2 | ||
855.2.k.i.406.2 | 10 | 1.1 | even | 1 | trivial | ||
855.2.k.i.676.2 | 10 | 19.11 | even | 3 | inner | ||
5415.2.a.y.1.2 | 5 | 57.26 | odd | 6 | |||
5415.2.a.z.1.4 | 5 | 57.50 | even | 6 |