Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [539,2,Mod(1,539)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(539, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("539.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 539 = 7^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 539.a (trivial) |
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: | yes |
Analytic conductor: | \(4.30393666895\) |
Analytic rank: | \(0\) |
Dimension: | \(3\) |
Coefficient field: | 3.3.257.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{3} - x^{2} - 4x + 3 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 77) |
Fricke sign: | \(-1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.2 | ||
Root | \(-1.91223\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 539.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.656620 | 0.464301 | 0.232150 | − | 0.972680i | \(-0.425424\pi\) | ||||
0.232150 | + | 0.972680i | \(0.425424\pi\) | |||||||
\(3\) | −1.91223 | −1.10403 | −0.552013 | − | 0.833835i | \(-0.686140\pi\) | ||||
−0.552013 | + | 0.833835i | \(0.686140\pi\) | |||||||
\(4\) | −1.56885 | −0.784425 | ||||||||
\(5\) | 3.56885 | 1.59604 | 0.798019 | − | 0.602632i | \(-0.205881\pi\) | ||||
0.798019 | + | 0.602632i | \(0.205881\pi\) | |||||||
\(6\) | −1.25561 | −0.512600 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −2.34338 | −0.828510 | ||||||||
\(9\) | 0.656620 | 0.218873 | ||||||||
\(10\) | 2.34338 | 0.741042 | ||||||||
\(11\) | −1.00000 | −0.301511 | ||||||||
\(12\) | 3.00000 | 0.866025 | ||||||||
\(13\) | 5.91223 | 1.63976 | 0.819879 | − | 0.572537i | \(-0.194041\pi\) | ||||
0.819879 | + | 0.572537i | \(0.194041\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −6.82446 | −1.76207 | ||||||||
\(16\) | 1.59899 | 0.399747 | ||||||||
\(17\) | 1.65662 | 0.401789 | 0.200895 | − | 0.979613i | \(-0.435615\pi\) | ||||
0.200895 | + | 0.979613i | \(0.435615\pi\) | |||||||
\(18\) | 0.431150 | 0.101623 | ||||||||
\(19\) | −1.48108 | −0.339783 | −0.169891 | − | 0.985463i | \(-0.554342\pi\) | ||||
−0.169891 | + | 0.985463i | \(0.554342\pi\) | |||||||
\(20\) | −5.59899 | −1.25197 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.656620 | −0.139992 | ||||||||
\(23\) | 3.34338 | 0.697143 | 0.348571 | − | 0.937282i | \(-0.386667\pi\) | ||||
0.348571 | + | 0.937282i | \(0.386667\pi\) | |||||||
\(24\) | 4.48108 | 0.914696 | ||||||||
\(25\) | 7.73669 | 1.54734 | ||||||||
\(26\) | 3.88209 | 0.761341 | ||||||||
\(27\) | 4.48108 | 0.862384 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 3.08007 | 0.571954 | 0.285977 | − | 0.958236i | \(-0.407682\pi\) | ||||
0.285977 | + | 0.958236i | \(0.407682\pi\) | |||||||
\(30\) | −4.48108 | −0.818129 | ||||||||
\(31\) | 7.08007 | 1.27162 | 0.635809 | − | 0.771847i | \(-0.280667\pi\) | ||||
0.635809 | + | 0.771847i | \(0.280667\pi\) | |||||||
\(32\) | 5.73669 | 1.01411 | ||||||||
\(33\) | 1.91223 | 0.332876 | ||||||||
\(34\) | 1.08777 | 0.186551 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −1.03014 | −0.171690 | ||||||||
\(37\) | −4.51122 | −0.741640 | −0.370820 | − | 0.928705i | \(-0.620923\pi\) | ||||
−0.370820 | + | 0.928705i | \(0.620923\pi\) | |||||||
\(38\) | −0.972507 | −0.157761 | ||||||||
\(39\) | −11.3055 | −1.81033 | ||||||||
\(40\) | −8.36317 | −1.32233 | ||||||||
\(41\) | 1.28575 | 0.200800 | 0.100400 | − | 0.994947i | \(-0.467988\pi\) | ||||
0.100400 | + | 0.994947i | \(0.467988\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.59899 | 0.243843 | 0.121922 | − | 0.992540i | \(-0.461094\pi\) | ||||
0.121922 | + | 0.992540i | \(0.461094\pi\) | |||||||
\(44\) | 1.56885 | 0.236513 | ||||||||
\(45\) | 2.34338 | 0.349330 | ||||||||
\(46\) | 2.19533 | 0.323684 | ||||||||
\(47\) | 1.65662 | 0.241643 | 0.120821 | − | 0.992674i | \(-0.461447\pi\) | ||||
0.120821 | + | 0.992674i | \(0.461447\pi\) | |||||||
\(48\) | −3.05763 | −0.441331 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 5.08007 | 0.718430 | ||||||||
\(51\) | −3.16784 | −0.443586 | ||||||||
\(52\) | −9.27540 | −1.28627 | ||||||||
\(53\) | 9.22547 | 1.26722 | 0.633608 | − | 0.773654i | \(-0.281573\pi\) | ||||
0.633608 | + | 0.773654i | \(0.281573\pi\) | |||||||
\(54\) | 2.94237 | 0.400406 | ||||||||
\(55\) | −3.56885 | −0.481224 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 2.83216 | 0.375129 | ||||||||
\(58\) | 2.02243 | 0.265559 | ||||||||
\(59\) | −8.85195 | −1.15243 | −0.576213 | − | 0.817300i | \(-0.695470\pi\) | ||||
−0.576213 | + | 0.817300i | \(0.695470\pi\) | |||||||
\(60\) | 10.7065 | 1.38221 | ||||||||
\(61\) | 6.68676 | 0.856152 | 0.428076 | − | 0.903743i | \(-0.359192\pi\) | ||||
0.428076 | + | 0.903743i | \(0.359192\pi\) | |||||||
\(62\) | 4.64892 | 0.590413 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0.568850 | 0.0711062 | ||||||||
\(65\) | 21.0999 | 2.61712 | ||||||||
\(66\) | 1.25561 | 0.154555 | ||||||||
\(67\) | −9.82446 | −1.20025 | −0.600124 | − | 0.799907i | \(-0.704882\pi\) | ||||
−0.600124 | + | 0.799907i | \(0.704882\pi\) | |||||||
\(68\) | −2.59899 | −0.315174 | ||||||||
\(69\) | −6.39331 | −0.769664 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −8.61878 | −1.02286 | −0.511430 | − | 0.859325i | \(-0.670884\pi\) | ||||
−0.511430 | + | 0.859325i | \(0.670884\pi\) | |||||||
\(72\) | −1.53871 | −0.181339 | ||||||||
\(73\) | −4.56115 | −0.533842 | −0.266921 | − | 0.963718i | \(-0.586006\pi\) | ||||
−0.266921 | + | 0.963718i | \(0.586006\pi\) | |||||||
\(74\) | −2.96216 | −0.344344 | ||||||||
\(75\) | −14.7943 | −1.70830 | ||||||||
\(76\) | 2.32359 | 0.266534 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −7.42345 | −0.840540 | ||||||||
\(79\) | −6.39331 | −0.719303 | −0.359652 | − | 0.933087i | \(-0.617104\pi\) | ||||
−0.359652 | + | 0.933087i | \(0.617104\pi\) | |||||||
\(80\) | 5.70655 | 0.638012 | ||||||||
\(81\) | −10.5387 | −1.17097 | ||||||||
\(82\) | 0.844248 | 0.0932316 | ||||||||
\(83\) | −0.167838 | −0.0184226 | −0.00921130 | − | 0.999958i | \(-0.502932\pi\) | ||||
−0.00921130 | + | 0.999958i | \(0.502932\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 5.91223 | 0.641271 | ||||||||
\(86\) | 1.04993 | 0.113217 | ||||||||
\(87\) | −5.88979 | −0.631452 | ||||||||
\(88\) | 2.34338 | 0.249805 | ||||||||
\(89\) | 2.56885 | 0.272298 | 0.136149 | − | 0.990688i | \(-0.456527\pi\) | ||||
0.136149 | + | 0.990688i | \(0.456527\pi\) | |||||||
\(90\) | 1.53871 | 0.162194 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −5.24526 | −0.546856 | ||||||||
\(93\) | −13.5387 | −1.40390 | ||||||||
\(94\) | 1.08777 | 0.112195 | ||||||||
\(95\) | −5.28575 | −0.542306 | ||||||||
\(96\) | −10.9699 | −1.11961 | ||||||||
\(97\) | −9.73669 | −0.988611 | −0.494305 | − | 0.869288i | \(-0.664578\pi\) | ||||
−0.494305 | + | 0.869288i | \(0.664578\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −0.656620 | −0.0659928 | ||||||||
\(100\) | −12.1377 | −1.21377 | ||||||||
\(101\) | −1.85460 | −0.184539 | −0.0922697 | − | 0.995734i | \(-0.529412\pi\) | ||||
−0.0922697 | + | 0.995734i | \(0.529412\pi\) | |||||||
\(102\) | −2.08007 | −0.205957 | ||||||||
\(103\) | 3.16784 | 0.312136 | 0.156068 | − | 0.987746i | \(-0.450118\pi\) | ||||
0.156068 | + | 0.987746i | \(0.450118\pi\) | |||||||
\(104\) | −13.8546 | −1.35856 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 6.05763 | 0.588369 | ||||||||
\(107\) | −4.76683 | −0.460826 | −0.230413 | − | 0.973093i | \(-0.574008\pi\) | ||||
−0.230413 | + | 0.973093i | \(0.574008\pi\) | |||||||
\(108\) | −7.03014 | −0.676475 | ||||||||
\(109\) | −14.8821 | −1.42545 | −0.712723 | − | 0.701446i | \(-0.752538\pi\) | ||||
−0.712723 | + | 0.701446i | \(0.752538\pi\) | |||||||
\(110\) | −2.34338 | −0.223432 | ||||||||
\(111\) | 8.62648 | 0.818789 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 12.4432 | 1.17056 | 0.585281 | − | 0.810831i | \(-0.300984\pi\) | ||||
0.585281 | + | 0.810831i | \(0.300984\pi\) | |||||||
\(114\) | 1.85966 | 0.174173 | ||||||||
\(115\) | 11.9320 | 1.11267 | ||||||||
\(116\) | −4.83216 | −0.448655 | ||||||||
\(117\) | 3.88209 | 0.358899 | ||||||||
\(118\) | −5.81237 | −0.535072 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 15.9923 | 1.45989 | ||||||||
\(121\) | 1.00000 | 0.0909091 | ||||||||
\(122\) | 4.39066 | 0.397512 | ||||||||
\(123\) | −2.45864 | −0.221688 | ||||||||
\(124\) | −11.1076 | −0.997488 | ||||||||
\(125\) | 9.76683 | 0.873571 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −6.62142 | −0.587556 | −0.293778 | − | 0.955874i | \(-0.594913\pi\) | ||||
−0.293778 | + | 0.955874i | \(0.594913\pi\) | |||||||
\(128\) | −11.0999 | −0.981098 | ||||||||
\(129\) | −3.05763 | −0.269209 | ||||||||
\(130\) | 13.8546 | 1.21513 | ||||||||
\(131\) | 6.05763 | 0.529258 | 0.264629 | − | 0.964350i | \(-0.414751\pi\) | ||||
0.264629 | + | 0.964350i | \(0.414751\pi\) | |||||||
\(132\) | −3.00000 | −0.261116 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −6.45094 | −0.557276 | ||||||||
\(135\) | 15.9923 | 1.37640 | ||||||||
\(136\) | −3.88209 | −0.332887 | ||||||||
\(137\) | −7.42345 | −0.634228 | −0.317114 | − | 0.948387i | \(-0.602714\pi\) | ||||
−0.317114 | + | 0.948387i | \(0.602714\pi\) | |||||||
\(138\) | −4.19798 | −0.357356 | ||||||||
\(139\) | 10.8245 | 0.918119 | 0.459059 | − | 0.888406i | \(-0.348187\pi\) | ||||
0.459059 | + | 0.888406i | \(0.348187\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −3.16784 | −0.266780 | ||||||||
\(142\) | −5.65927 | −0.474915 | ||||||||
\(143\) | −5.91223 | −0.494405 | ||||||||
\(144\) | 1.04993 | 0.0874940 | ||||||||
\(145\) | 10.9923 | 0.912861 | ||||||||
\(146\) | −2.99494 | −0.247863 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 7.07742 | 0.581760 | ||||||||
\(149\) | −1.00000 | −0.0819232 | −0.0409616 | − | 0.999161i | \(-0.513042\pi\) | ||||
−0.0409616 | + | 0.999161i | \(0.513042\pi\) | |||||||
\(150\) | −9.71425 | −0.793165 | ||||||||
\(151\) | 16.4234 | 1.33652 | 0.668261 | − | 0.743927i | \(-0.267039\pi\) | ||||
0.668261 | + | 0.743927i | \(0.267039\pi\) | |||||||
\(152\) | 3.47073 | 0.281513 | ||||||||
\(153\) | 1.08777 | 0.0879411 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 25.2677 | 2.02955 | ||||||||
\(156\) | 17.7367 | 1.42007 | ||||||||
\(157\) | 11.4509 | 0.913885 | 0.456942 | − | 0.889496i | \(-0.348945\pi\) | ||||
0.456942 | + | 0.889496i | \(0.348945\pi\) | |||||||
\(158\) | −4.19798 | −0.333973 | ||||||||
\(159\) | −17.6412 | −1.39904 | ||||||||
\(160\) | 20.4734 | 1.61856 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −6.91993 | −0.543681 | ||||||||
\(163\) | −8.93972 | −0.700213 | −0.350107 | − | 0.936710i | \(-0.613855\pi\) | ||||
−0.350107 | + | 0.936710i | \(0.613855\pi\) | |||||||
\(164\) | −2.01714 | −0.157513 | ||||||||
\(165\) | 6.82446 | 0.531283 | ||||||||
\(166\) | −0.110206 | −0.00855363 | ||||||||
\(167\) | 18.2178 | 1.40973 | 0.704867 | − | 0.709340i | \(-0.251007\pi\) | ||||
0.704867 | + | 0.709340i | \(0.251007\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 21.9545 | 1.68880 | ||||||||
\(170\) | 3.88209 | 0.297743 | ||||||||
\(171\) | −0.972507 | −0.0743694 | ||||||||
\(172\) | −2.50857 | −0.191277 | ||||||||
\(173\) | −19.5611 | −1.48721 | −0.743603 | − | 0.668621i | \(-0.766885\pi\) | ||||
−0.743603 | + | 0.668621i | \(0.766885\pi\) | |||||||
\(174\) | −3.86736 | −0.293184 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −1.59899 | −0.120528 | ||||||||
\(177\) | 16.9270 | 1.27231 | ||||||||
\(178\) | 1.68676 | 0.126428 | ||||||||
\(179\) | 3.24791 | 0.242760 | 0.121380 | − | 0.992606i | \(-0.461268\pi\) | ||||
0.121380 | + | 0.992606i | \(0.461268\pi\) | |||||||
\(180\) | −3.67641 | −0.274023 | ||||||||
\(181\) | 10.3407 | 0.768621 | 0.384310 | − | 0.923204i | \(-0.374439\pi\) | ||||
0.384310 | + | 0.923204i | \(0.374439\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −12.7866 | −0.945214 | ||||||||
\(184\) | −7.83481 | −0.577590 | ||||||||
\(185\) | −16.0999 | −1.18369 | ||||||||
\(186\) | −8.88979 | −0.651831 | ||||||||
\(187\) | −1.65662 | −0.121144 | ||||||||
\(188\) | −2.59899 | −0.189551 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −3.47073 | −0.251793 | ||||||||
\(191\) | 10.0224 | 0.725198 | 0.362599 | − | 0.931945i | \(-0.381889\pi\) | ||||
0.362599 | + | 0.931945i | \(0.381889\pi\) | |||||||
\(192\) | −1.08777 | −0.0785031 | ||||||||
\(193\) | 25.3253 | 1.82296 | 0.911478 | − | 0.411348i | \(-0.134942\pi\) | ||||
0.911478 | + | 0.411348i | \(0.134942\pi\) | |||||||
\(194\) | −6.39331 | −0.459013 | ||||||||
\(195\) | −40.3478 | −2.88936 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −24.5809 | −1.75132 | −0.875660 | − | 0.482929i | \(-0.839573\pi\) | ||||
−0.875660 | + | 0.482929i | \(0.839573\pi\) | |||||||
\(198\) | −0.431150 | −0.0306405 | ||||||||
\(199\) | −5.59128 | −0.396356 | −0.198178 | − | 0.980166i | \(-0.563502\pi\) | ||||
−0.198178 | + | 0.980166i | \(0.563502\pi\) | |||||||
\(200\) | −18.1300 | −1.28198 | ||||||||
\(201\) | 18.7866 | 1.32511 | ||||||||
\(202\) | −1.21777 | −0.0856817 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 4.96986 | 0.347960 | ||||||||
\(205\) | 4.58864 | 0.320484 | ||||||||
\(206\) | 2.08007 | 0.144925 | ||||||||
\(207\) | 2.19533 | 0.152586 | ||||||||
\(208\) | 9.45359 | 0.655488 | ||||||||
\(209\) | 1.48108 | 0.102448 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 12.0999 | 0.832988 | 0.416494 | − | 0.909138i | \(-0.363259\pi\) | ||||
0.416494 | + | 0.909138i | \(0.363259\pi\) | |||||||
\(212\) | −14.4734 | −0.994035 | ||||||||
\(213\) | 16.4811 | 1.12926 | ||||||||
\(214\) | −3.13000 | −0.213962 | ||||||||
\(215\) | 5.70655 | 0.389183 | ||||||||
\(216\) | −10.5009 | −0.714494 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −9.77188 | −0.661836 | ||||||||
\(219\) | 8.72196 | 0.589375 | ||||||||
\(220\) | 5.59899 | 0.377484 | ||||||||
\(221\) | 9.79432 | 0.658837 | ||||||||
\(222\) | 5.66432 | 0.380165 | ||||||||
\(223\) | −15.6265 | −1.04643 | −0.523213 | − | 0.852202i | \(-0.675267\pi\) | ||||
−0.523213 | + | 0.852202i | \(0.675267\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 5.08007 | 0.338671 | ||||||||
\(226\) | 8.17048 | 0.543492 | ||||||||
\(227\) | 15.6687 | 1.03997 | 0.519984 | − | 0.854176i | \(-0.325938\pi\) | ||||
0.519984 | + | 0.854176i | \(0.325938\pi\) | |||||||
\(228\) | −4.44324 | −0.294261 | ||||||||
\(229\) | 5.57149 | 0.368175 | 0.184087 | − | 0.982910i | \(-0.441067\pi\) | ||||
0.184087 | + | 0.982910i | \(0.441067\pi\) | |||||||
\(230\) | 7.83481 | 0.516612 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −7.21777 | −0.473870 | ||||||||
\(233\) | −19.2754 | −1.26277 | −0.631387 | − | 0.775468i | \(-0.717514\pi\) | ||||
−0.631387 | + | 0.775468i | \(0.717514\pi\) | |||||||
\(234\) | 2.54906 | 0.166637 | ||||||||
\(235\) | 5.91223 | 0.385671 | ||||||||
\(236\) | 13.8874 | 0.903992 | ||||||||
\(237\) | 12.2255 | 0.794130 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −22.1575 | −1.43325 | −0.716624 | − | 0.697459i | \(-0.754314\pi\) | ||||
−0.716624 | + | 0.697459i | \(0.754314\pi\) | |||||||
\(240\) | −10.9122 | −0.704381 | ||||||||
\(241\) | 19.8744 | 1.28022 | 0.640111 | − | 0.768283i | \(-0.278888\pi\) | ||||
0.640111 | + | 0.768283i | \(0.278888\pi\) | |||||||
\(242\) | 0.656620 | 0.0422092 | ||||||||
\(243\) | 6.70919 | 0.430395 | ||||||||
\(244\) | −10.4905 | −0.671587 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −1.61440 | −0.102930 | ||||||||
\(247\) | −8.75648 | −0.557161 | ||||||||
\(248\) | −16.5913 | −1.05355 | ||||||||
\(249\) | 0.320945 | 0.0203390 | ||||||||
\(250\) | 6.41310 | 0.405600 | ||||||||
\(251\) | −22.1076 | −1.39542 | −0.697708 | − | 0.716382i | \(-0.745797\pi\) | ||||
−0.697708 | + | 0.716382i | \(0.745797\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −3.34338 | −0.210196 | ||||||||
\(254\) | −4.34776 | −0.272803 | ||||||||
\(255\) | −11.3055 | −0.707980 | ||||||||
\(256\) | −8.42609 | −0.526631 | ||||||||
\(257\) | −29.1196 | −1.81643 | −0.908217 | − | 0.418500i | \(-0.862556\pi\) | ||||
−0.908217 | + | 0.418500i | \(0.862556\pi\) | |||||||
\(258\) | −2.00770 | −0.124994 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −33.1025 | −2.05293 | ||||||||
\(261\) | 2.02243 | 0.125186 | ||||||||
\(262\) | 3.97757 | 0.245735 | ||||||||
\(263\) | −15.5035 | −0.955988 | −0.477994 | − | 0.878363i | \(-0.658636\pi\) | ||||
−0.477994 | + | 0.878363i | \(0.658636\pi\) | |||||||
\(264\) | −4.48108 | −0.275791 | ||||||||
\(265\) | 32.9243 | 2.02252 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −4.91223 | −0.300624 | ||||||||
\(268\) | 15.4131 | 0.941505 | ||||||||
\(269\) | −1.70655 | −0.104050 | −0.0520251 | − | 0.998646i | \(-0.516568\pi\) | ||||
−0.0520251 | + | 0.998646i | \(0.516568\pi\) | |||||||
\(270\) | 10.5009 | 0.639063 | ||||||||
\(271\) | 20.5284 | 1.24701 | 0.623505 | − | 0.781820i | \(-0.285708\pi\) | ||||
0.623505 | + | 0.781820i | \(0.285708\pi\) | |||||||
\(272\) | 2.64892 | 0.160614 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −4.87439 | −0.294472 | ||||||||
\(275\) | −7.73669 | −0.466540 | ||||||||
\(276\) | 10.0301 | 0.603743 | ||||||||
\(277\) | −26.6610 | −1.60190 | −0.800952 | − | 0.598728i | \(-0.795673\pi\) | ||||
−0.800952 | + | 0.598728i | \(0.795673\pi\) | |||||||
\(278\) | 7.10756 | 0.426283 | ||||||||
\(279\) | 4.64892 | 0.278323 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 15.7444 | 0.939232 | 0.469616 | − | 0.882871i | \(-0.344392\pi\) | ||||
0.469616 | + | 0.882871i | \(0.344392\pi\) | |||||||
\(282\) | −2.08007 | −0.123866 | ||||||||
\(283\) | 16.0697 | 0.955246 | 0.477623 | − | 0.878565i | \(-0.341499\pi\) | ||||
0.477623 | + | 0.878565i | \(0.341499\pi\) | |||||||
\(284\) | 13.5216 | 0.802357 | ||||||||
\(285\) | 10.1076 | 0.598720 | ||||||||
\(286\) | −3.88209 | −0.229553 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 3.76683 | 0.221962 | ||||||||
\(289\) | −14.2556 | −0.838565 | ||||||||
\(290\) | 7.21777 | 0.423842 | ||||||||
\(291\) | 18.6188 | 1.09145 | ||||||||
\(292\) | 7.15575 | 0.418759 | ||||||||
\(293\) | −15.3357 | −0.895920 | −0.447960 | − | 0.894054i | \(-0.647849\pi\) | ||||
−0.447960 | + | 0.894054i | \(0.647849\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −31.5913 | −1.83932 | ||||||||
\(296\) | 10.5715 | 0.614456 | ||||||||
\(297\) | −4.48108 | −0.260019 | ||||||||
\(298\) | −0.656620 | −0.0380370 | ||||||||
\(299\) | 19.7668 | 1.14315 | ||||||||
\(300\) | 23.2101 | 1.34003 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 10.7840 | 0.620548 | ||||||||
\(303\) | 3.54641 | 0.203736 | ||||||||
\(304\) | −2.36823 | −0.135827 | ||||||||
\(305\) | 23.8640 | 1.36645 | ||||||||
\(306\) | 0.714253 | 0.0408311 | ||||||||
\(307\) | 16.4707 | 0.940034 | 0.470017 | − | 0.882657i | \(-0.344248\pi\) | ||||
0.470017 | + | 0.882657i | \(0.344248\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −6.05763 | −0.344607 | ||||||||
\(310\) | 16.5913 | 0.942322 | ||||||||
\(311\) | −21.6291 | −1.22648 | −0.613238 | − | 0.789898i | \(-0.710133\pi\) | ||||
−0.613238 | + | 0.789898i | \(0.710133\pi\) | |||||||
\(312\) | 26.4932 | 1.49988 | ||||||||
\(313\) | −16.3882 | −0.926319 | −0.463159 | − | 0.886275i | \(-0.653284\pi\) | ||||
−0.463159 | + | 0.886275i | \(0.653284\pi\) | |||||||
\(314\) | 7.51892 | 0.424317 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 10.0301 | 0.564239 | ||||||||
\(317\) | 4.46129 | 0.250571 | 0.125285 | − | 0.992121i | \(-0.460015\pi\) | ||||
0.125285 | + | 0.992121i | \(0.460015\pi\) | |||||||
\(318\) | −11.5836 | −0.649575 | ||||||||
\(319\) | −3.08007 | −0.172451 | ||||||||
\(320\) | 2.03014 | 0.113488 | ||||||||
\(321\) | 9.11526 | 0.508764 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −2.45359 | −0.136521 | ||||||||
\(324\) | 16.5337 | 0.918536 | ||||||||
\(325\) | 45.7411 | 2.53726 | ||||||||
\(326\) | −5.87000 | −0.325109 | ||||||||
\(327\) | 28.4580 | 1.57373 | ||||||||
\(328\) | −3.01299 | −0.166365 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 4.48108 | 0.246675 | ||||||||
\(331\) | 19.0396 | 1.04651 | 0.523255 | − | 0.852176i | \(-0.324718\pi\) | ||||
0.523255 | + | 0.852176i | \(0.324718\pi\) | |||||||
\(332\) | 0.263312 | 0.0144511 | ||||||||
\(333\) | −2.96216 | −0.162325 | ||||||||
\(334\) | 11.9622 | 0.654540 | ||||||||
\(335\) | −35.0620 | −1.91564 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 27.0147 | 1.47159 | 0.735793 | − | 0.677206i | \(-0.236810\pi\) | ||||
0.735793 | + | 0.677206i | \(0.236810\pi\) | |||||||
\(338\) | 14.4157 | 0.784113 | ||||||||
\(339\) | −23.7943 | −1.29233 | ||||||||
\(340\) | −9.27540 | −0.503029 | ||||||||
\(341\) | −7.08007 | −0.383407 | ||||||||
\(342\) | −0.638568 | −0.0345298 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −3.74704 | −0.202027 | ||||||||
\(345\) | −22.8168 | −1.22841 | ||||||||
\(346\) | −12.8442 | −0.690511 | ||||||||
\(347\) | −20.2178 | −1.08535 | −0.542673 | − | 0.839944i | \(-0.682588\pi\) | ||||
−0.542673 | + | 0.839944i | \(0.682588\pi\) | |||||||
\(348\) | 9.24020 | 0.495327 | ||||||||
\(349\) | 12.0224 | 0.643546 | 0.321773 | − | 0.946817i | \(-0.395721\pi\) | ||||
0.321773 | + | 0.946817i | \(0.395721\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 26.4932 | 1.41410 | ||||||||
\(352\) | −5.73669 | −0.305766 | ||||||||
\(353\) | 10.7591 | 0.572650 | 0.286325 | − | 0.958133i | \(-0.407566\pi\) | ||||
0.286325 | + | 0.958133i | \(0.407566\pi\) | |||||||
\(354\) | 11.1146 | 0.590734 | ||||||||
\(355\) | −30.7591 | −1.63252 | ||||||||
\(356\) | −4.03014 | −0.213597 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 2.13264 | 0.112714 | ||||||||
\(359\) | 24.2901 | 1.28198 | 0.640992 | − | 0.767548i | \(-0.278523\pi\) | ||||
0.640992 | + | 0.767548i | \(0.278523\pi\) | |||||||
\(360\) | −5.49143 | −0.289424 | ||||||||
\(361\) | −16.8064 | −0.884548 | ||||||||
\(362\) | 6.78994 | 0.356871 | ||||||||
\(363\) | −1.91223 | −0.100366 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −16.2780 | −0.852032 | ||||||||
\(366\) | −8.39595 | −0.438864 | ||||||||
\(367\) | −10.8442 | −0.566065 | −0.283033 | − | 0.959110i | \(-0.591340\pi\) | ||||
−0.283033 | + | 0.959110i | \(0.591340\pi\) | |||||||
\(368\) | 5.34602 | 0.278681 | ||||||||
\(369\) | 0.844248 | 0.0439498 | ||||||||
\(370\) | −10.5715 | −0.549586 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 21.2402 | 1.10125 | ||||||||
\(373\) | −33.0242 | −1.70993 | −0.854963 | − | 0.518688i | \(-0.826421\pi\) | ||||
−0.854963 | + | 0.518688i | \(0.826421\pi\) | |||||||
\(374\) | −1.08777 | −0.0562473 | ||||||||
\(375\) | −18.6764 | −0.964446 | ||||||||
\(376\) | −3.88209 | −0.200204 | ||||||||
\(377\) | 18.2101 | 0.937866 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −21.9320 | −1.12657 | −0.563286 | − | 0.826262i | \(-0.690463\pi\) | ||||
−0.563286 | + | 0.826262i | \(0.690463\pi\) | |||||||
\(380\) | 8.29254 | 0.425398 | ||||||||
\(381\) | 12.6617 | 0.648677 | ||||||||
\(382\) | 6.58094 | 0.336710 | ||||||||
\(383\) | −36.4630 | −1.86317 | −0.931587 | − | 0.363519i | \(-0.881575\pi\) | ||||
−0.931587 | + | 0.363519i | \(0.881575\pi\) | |||||||
\(384\) | 21.2255 | 1.08316 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 16.6291 | 0.846400 | ||||||||
\(387\) | 1.04993 | 0.0533709 | ||||||||
\(388\) | 15.2754 | 0.775491 | ||||||||
\(389\) | 19.4760 | 0.987473 | 0.493737 | − | 0.869611i | \(-0.335631\pi\) | ||||
0.493737 | + | 0.869611i | \(0.335631\pi\) | |||||||
\(390\) | −26.4932 | −1.34153 | ||||||||
\(391\) | 5.53871 | 0.280105 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −11.5836 | −0.584314 | ||||||||
\(394\) | −16.1403 | −0.813139 | ||||||||
\(395\) | −22.8168 | −1.14804 | ||||||||
\(396\) | 1.03014 | 0.0517664 | ||||||||
\(397\) | 7.83987 | 0.393472 | 0.196736 | − | 0.980457i | \(-0.436966\pi\) | ||||
0.196736 | + | 0.980457i | \(0.436966\pi\) | |||||||
\(398\) | −3.67135 | −0.184028 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 12.3709 | 0.618544 | ||||||||
\(401\) | −24.4459 | −1.22077 | −0.610385 | − | 0.792105i | \(-0.708985\pi\) | ||||
−0.610385 | + | 0.792105i | \(0.708985\pi\) | |||||||
\(402\) | 12.3357 | 0.615248 | ||||||||
\(403\) | 41.8590 | 2.08514 | ||||||||
\(404\) | 2.90958 | 0.144757 | ||||||||
\(405\) | −37.6111 | −1.86891 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 4.51122 | 0.223613 | ||||||||
\(408\) | 7.42345 | 0.367515 | ||||||||
\(409\) | 2.35373 | 0.116384 | 0.0581922 | − | 0.998305i | \(-0.481466\pi\) | ||||
0.0581922 | + | 0.998305i | \(0.481466\pi\) | |||||||
\(410\) | 3.01299 | 0.148801 | ||||||||
\(411\) | 14.1953 | 0.700204 | ||||||||
\(412\) | −4.96986 | −0.244847 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 1.44150 | 0.0708458 | ||||||||
\(415\) | −0.598988 | −0.0294032 | ||||||||
\(416\) | 33.9166 | 1.66290 | ||||||||
\(417\) | −20.6988 | −1.01363 | ||||||||
\(418\) | 0.972507 | 0.0475669 | ||||||||
\(419\) | −9.29081 | −0.453886 | −0.226943 | − | 0.973908i | \(-0.572873\pi\) | ||||
−0.226943 | + | 0.973908i | \(0.572873\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −39.0319 | −1.90230 | −0.951149 | − | 0.308733i | \(-0.900095\pi\) | ||||
−0.951149 | + | 0.308733i | \(0.900095\pi\) | |||||||
\(422\) | 7.94501 | 0.386757 | ||||||||
\(423\) | 1.08777 | 0.0528892 | ||||||||
\(424\) | −21.6188 | −1.04990 | ||||||||
\(425\) | 12.8168 | 0.621704 | ||||||||
\(426\) | 10.8218 | 0.524319 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 7.47843 | 0.361484 | ||||||||
\(429\) | 11.3055 | 0.545836 | ||||||||
\(430\) | 3.74704 | 0.180698 | ||||||||
\(431\) | −3.80202 | −0.183137 | −0.0915685 | − | 0.995799i | \(-0.529188\pi\) | ||||
−0.0915685 | + | 0.995799i | \(0.529188\pi\) | |||||||
\(432\) | 7.16519 | 0.344735 | ||||||||
\(433\) | −8.22041 | −0.395048 | −0.197524 | − | 0.980298i | \(-0.563290\pi\) | ||||
−0.197524 | + | 0.980298i | \(0.563290\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −21.0198 | −1.00782 | ||||||||
\(436\) | 23.3478 | 1.11815 | ||||||||
\(437\) | −4.95181 | −0.236877 | ||||||||
\(438\) | 5.72701 | 0.273647 | ||||||||
\(439\) | −4.54136 | −0.216747 | −0.108374 | − | 0.994110i | \(-0.534564\pi\) | ||||
−0.108374 | + | 0.994110i | \(0.534564\pi\) | |||||||
\(440\) | 8.36317 | 0.398698 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 6.43115 | 0.305899 | ||||||||
\(443\) | 13.7444 | 0.653016 | 0.326508 | − | 0.945194i | \(-0.394128\pi\) | ||||
0.326508 | + | 0.945194i | \(0.394128\pi\) | |||||||
\(444\) | −13.5337 | −0.642279 | ||||||||
\(445\) | 9.16784 | 0.434597 | ||||||||
\(446\) | −10.2607 | −0.485857 | ||||||||
\(447\) | 1.91223 | 0.0904453 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 21.5662 | 1.01777 | 0.508886 | − | 0.860834i | \(-0.330057\pi\) | ||||
0.508886 | + | 0.860834i | \(0.330057\pi\) | |||||||
\(450\) | 3.33568 | 0.157245 | ||||||||
\(451\) | −1.28575 | −0.0605435 | ||||||||
\(452\) | −19.5216 | −0.918217 | ||||||||
\(453\) | −31.4054 | −1.47555 | ||||||||
\(454\) | 10.2884 | 0.482858 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −6.63683 | −0.310798 | ||||||||
\(457\) | −3.30554 | −0.154627 | −0.0773133 | − | 0.997007i | \(-0.524634\pi\) | ||||
−0.0773133 | + | 0.997007i | \(0.524634\pi\) | |||||||
\(458\) | 3.65836 | 0.170944 | ||||||||
\(459\) | 7.42345 | 0.346497 | ||||||||
\(460\) | −18.7195 | −0.872803 | ||||||||
\(461\) | 32.1524 | 1.49749 | 0.748744 | − | 0.662859i | \(-0.230657\pi\) | ||||
0.748744 | + | 0.662859i | \(0.230657\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 5.82181 | 0.270563 | 0.135281 | − | 0.990807i | \(-0.456806\pi\) | ||||
0.135281 | + | 0.990807i | \(0.456806\pi\) | |||||||
\(464\) | 4.92499 | 0.228637 | ||||||||
\(465\) | −48.3176 | −2.24068 | ||||||||
\(466\) | −12.6566 | −0.586307 | ||||||||
\(467\) | 6.01473 | 0.278329 | 0.139164 | − | 0.990269i | \(-0.455558\pi\) | ||||
0.139164 | + | 0.990269i | \(0.455558\pi\) | |||||||
\(468\) | −6.09042 | −0.281530 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 3.88209 | 0.179067 | ||||||||
\(471\) | −21.8968 | −1.00895 | ||||||||
\(472\) | 20.7435 | 0.954796 | ||||||||
\(473\) | −1.59899 | −0.0735216 | ||||||||
\(474\) | 8.02749 | 0.368715 | ||||||||
\(475\) | −11.4586 | −0.525759 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 6.05763 | 0.277360 | ||||||||
\(478\) | −14.5491 | −0.665459 | ||||||||
\(479\) | −17.1351 | −0.782921 | −0.391460 | − | 0.920195i | \(-0.628030\pi\) | ||||
−0.391460 | + | 0.920195i | \(0.628030\pi\) | |||||||
\(480\) | −39.1498 | −1.78694 | ||||||||
\(481\) | −26.6714 | −1.21611 | ||||||||
\(482\) | 13.0499 | 0.594408 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −1.56885 | −0.0713113 | ||||||||
\(485\) | −34.7488 | −1.57786 | ||||||||
\(486\) | 4.40539 | 0.199833 | ||||||||
\(487\) | 5.71425 | 0.258937 | 0.129469 | − | 0.991584i | \(-0.458673\pi\) | ||||
0.129469 | + | 0.991584i | \(0.458673\pi\) | |||||||
\(488\) | −15.6696 | −0.709330 | ||||||||
\(489\) | 17.0948 | 0.773054 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 24.0673 | 1.08614 | 0.543071 | − | 0.839687i | \(-0.317261\pi\) | ||||
0.543071 | + | 0.839687i | \(0.317261\pi\) | |||||||
\(492\) | 3.85724 | 0.173898 | ||||||||
\(493\) | 5.10250 | 0.229805 | ||||||||
\(494\) | −5.74968 | −0.258690 | ||||||||
\(495\) | −2.34338 | −0.105327 | ||||||||
\(496\) | 11.3209 | 0.508325 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 0.210739 | 0.00944343 | ||||||||
\(499\) | 10.7893 | 0.482994 | 0.241497 | − | 0.970402i | \(-0.422362\pi\) | ||||
0.241497 | + | 0.970402i | \(0.422362\pi\) | |||||||
\(500\) | −15.3227 | −0.685251 | ||||||||
\(501\) | −34.8365 | −1.55638 | ||||||||
\(502\) | −14.5163 | −0.647893 | ||||||||
\(503\) | −28.0121 | −1.24900 | −0.624499 | − | 0.781026i | \(-0.714697\pi\) | ||||
−0.624499 | + | 0.781026i | \(0.714697\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −6.61878 | −0.294532 | ||||||||
\(506\) | −2.19533 | −0.0975944 | ||||||||
\(507\) | −41.9819 | −1.86448 | ||||||||
\(508\) | 10.3880 | 0.460894 | ||||||||
\(509\) | 1.91487 | 0.0848753 | 0.0424377 | − | 0.999099i | \(-0.486488\pi\) | ||||
0.0424377 | + | 0.999099i | \(0.486488\pi\) | |||||||
\(510\) | −7.42345 | −0.328716 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 16.6670 | 0.736583 | ||||||||
\(513\) | −6.63683 | −0.293023 | ||||||||
\(514\) | −19.1206 | −0.843372 | ||||||||
\(515\) | 11.3055 | 0.498181 | ||||||||
\(516\) | 4.79696 | 0.211175 | ||||||||
\(517\) | −1.65662 | −0.0728581 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 37.4054 | 1.64191 | ||||||||
\(520\) | −49.4450 | −2.16831 | ||||||||
\(521\) | −1.57920 | −0.0691859 | −0.0345930 | − | 0.999401i | \(-0.511013\pi\) | ||||
−0.0345930 | + | 0.999401i | \(0.511013\pi\) | |||||||
\(522\) | 1.32797 | 0.0581238 | ||||||||
\(523\) | 8.96986 | 0.392225 | 0.196112 | − | 0.980581i | \(-0.437168\pi\) | ||||
0.196112 | + | 0.980581i | \(0.437168\pi\) | |||||||
\(524\) | −9.50351 | −0.415163 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −10.1799 | −0.443866 | ||||||||
\(527\) | 11.7290 | 0.510923 | ||||||||
\(528\) | 3.05763 | 0.133066 | ||||||||
\(529\) | −11.8218 | −0.513992 | ||||||||
\(530\) | 21.6188 | 0.939060 | ||||||||
\(531\) | −5.81237 | −0.252235 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 7.60163 | 0.329263 | ||||||||
\(534\) | −3.22547 | −0.139580 | ||||||||
\(535\) | −17.0121 | −0.735497 | ||||||||
\(536\) | 23.0224 | 0.994418 | ||||||||
\(537\) | −6.21074 | −0.268013 | ||||||||
\(538\) | −1.12055 | −0.0483105 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −25.0895 | −1.07968 | ||||||||
\(541\) | 18.1025 | 0.778287 | 0.389144 | − | 0.921177i | \(-0.372771\pi\) | ||||
0.389144 | + | 0.921177i | \(0.372771\pi\) | |||||||
\(542\) | 13.4793 | 0.578987 | ||||||||
\(543\) | −19.7739 | −0.848577 | ||||||||
\(544\) | 9.50351 | 0.407460 | ||||||||
\(545\) | −53.1119 | −2.27507 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 22.6885 | 0.970090 | 0.485045 | − | 0.874489i | \(-0.338803\pi\) | ||||
0.485045 | + | 0.874489i | \(0.338803\pi\) | |||||||
\(548\) | 11.6463 | 0.497504 | ||||||||
\(549\) | 4.39066 | 0.187389 | ||||||||
\(550\) | −5.08007 | −0.216615 | ||||||||
\(551\) | −4.56182 | −0.194340 | ||||||||
\(552\) | 14.9819 | 0.637674 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −17.5062 | −0.743765 | ||||||||
\(555\) | 30.7866 | 1.30682 | ||||||||
\(556\) | −16.9819 | −0.720195 | ||||||||
\(557\) | 38.3555 | 1.62517 | 0.812587 | − | 0.582840i | \(-0.198059\pi\) | ||||
0.812587 | + | 0.582840i | \(0.198059\pi\) | |||||||
\(558\) | 3.05257 | 0.129226 | ||||||||
\(559\) | 9.45359 | 0.399844 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 3.16784 | 0.133746 | ||||||||
\(562\) | 10.3381 | 0.436086 | ||||||||
\(563\) | 41.7739 | 1.76056 | 0.880279 | − | 0.474456i | \(-0.157355\pi\) | ||||
0.880279 | + | 0.474456i | \(0.157355\pi\) | |||||||
\(564\) | 4.96986 | 0.209269 | ||||||||
\(565\) | 44.4080 | 1.86826 | ||||||||
\(566\) | 10.5517 | 0.443521 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 20.1971 | 0.847450 | ||||||||
\(569\) | −11.8700 | −0.497616 | −0.248808 | − | 0.968553i | \(-0.580039\pi\) | ||||
−0.248808 | + | 0.968553i | \(0.580039\pi\) | |||||||
\(570\) | 6.63683 | 0.277986 | ||||||||
\(571\) | 19.8013 | 0.828661 | 0.414330 | − | 0.910127i | \(-0.364016\pi\) | ||||
0.414330 | + | 0.910127i | \(0.364016\pi\) | |||||||
\(572\) | 9.27540 | 0.387824 | ||||||||
\(573\) | −19.1652 | −0.800637 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 25.8667 | 1.07872 | ||||||||
\(576\) | 0.373518 | 0.0155633 | ||||||||
\(577\) | −28.6791 | −1.19392 | −0.596962 | − | 0.802269i | \(-0.703626\pi\) | ||||
−0.596962 | + | 0.802269i | \(0.703626\pi\) | |||||||
\(578\) | −9.36052 | −0.389346 | ||||||||
\(579\) | −48.4278 | −2.01259 | ||||||||
\(580\) | −17.2453 | −0.716070 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 12.2255 | 0.506762 | ||||||||
\(583\) | −9.22547 | −0.382080 | ||||||||
\(584\) | 10.6885 | 0.442293 | ||||||||
\(585\) | 13.8546 | 0.572817 | ||||||||
\(586\) | −10.0697 | −0.415976 | ||||||||
\(587\) | −1.01209 | −0.0417733 | −0.0208866 | − | 0.999782i | \(-0.506649\pi\) | ||||
−0.0208866 | + | 0.999782i | \(0.506649\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −10.4861 | −0.432074 | ||||||||
\(590\) | −20.7435 | −0.853996 | ||||||||
\(591\) | 47.0044 | 1.93350 | ||||||||
\(592\) | −7.21338 | −0.296468 | ||||||||
\(593\) | −14.2332 | −0.584486 | −0.292243 | − | 0.956344i | \(-0.594402\pi\) | ||||
−0.292243 | + | 0.956344i | \(0.594402\pi\) | |||||||
\(594\) | −2.94237 | −0.120727 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 1.56885 | 0.0642626 | ||||||||
\(597\) | 10.6918 | 0.437587 | ||||||||
\(598\) | 12.9793 | 0.530763 | ||||||||
\(599\) | −26.5457 | −1.08463 | −0.542315 | − | 0.840175i | \(-0.682452\pi\) | ||||
−0.542315 | + | 0.840175i | \(0.682452\pi\) | |||||||
\(600\) | 34.6687 | 1.41534 | ||||||||
\(601\) | 12.1558 | 0.495843 | 0.247922 | − | 0.968780i | \(-0.420252\pi\) | ||||
0.247922 | + | 0.968780i | \(0.420252\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −6.45094 | −0.262703 | ||||||||
\(604\) | −25.7659 | −1.04840 | ||||||||
\(605\) | 3.56885 | 0.145094 | ||||||||
\(606\) | 2.32865 | 0.0945949 | ||||||||
\(607\) | −13.9672 | −0.566912 | −0.283456 | − | 0.958985i | \(-0.591481\pi\) | ||||
−0.283456 | + | 0.958985i | \(0.591481\pi\) | |||||||
\(608\) | −8.49649 | −0.344578 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 15.6696 | 0.634444 | ||||||||
\(611\) | 9.79432 | 0.396236 | ||||||||
\(612\) | −1.70655 | −0.0689831 | ||||||||
\(613\) | 4.64189 | 0.187484 | 0.0937421 | − | 0.995597i | \(-0.470117\pi\) | ||||
0.0937421 | + | 0.995597i | \(0.470117\pi\) | |||||||
\(614\) | 10.8150 | 0.436459 | ||||||||
\(615\) | −8.77453 | −0.353823 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −26.3960 | −1.06266 | −0.531331 | − | 0.847165i | \(-0.678308\pi\) | ||||
−0.531331 | + | 0.847165i | \(0.678308\pi\) | |||||||
\(618\) | −3.97757 | −0.160001 | ||||||||
\(619\) | −14.6815 | −0.590098 | −0.295049 | − | 0.955482i | \(-0.595336\pi\) | ||||
−0.295049 | + | 0.955482i | \(0.595336\pi\) | |||||||
\(620\) | −39.6412 | −1.59203 | ||||||||
\(621\) | 14.9819 | 0.601205 | ||||||||
\(622\) | −14.2021 | −0.569453 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −18.0774 | −0.723676 | ||||||||
\(625\) | −3.82710 | −0.153084 | ||||||||
\(626\) | −10.7609 | −0.430090 | ||||||||
\(627\) | −2.83216 | −0.113106 | ||||||||
\(628\) | −17.9648 | −0.716874 | ||||||||
\(629\) | −7.47338 | −0.297983 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −30.1498 | −1.20024 | −0.600122 | − | 0.799908i | \(-0.704881\pi\) | ||||
−0.600122 | + | 0.799908i | \(0.704881\pi\) | |||||||
\(632\) | 14.9819 | 0.595950 | ||||||||
\(633\) | −23.1377 | −0.919641 | ||||||||
\(634\) | 2.92937 | 0.116340 | ||||||||
\(635\) | −23.6309 | −0.937762 | ||||||||
\(636\) | 27.6764 | 1.09744 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −2.02243 | −0.0800690 | ||||||||
\(639\) | −5.65927 | −0.223877 | ||||||||
\(640\) | −39.6137 | −1.56587 | ||||||||
\(641\) | −16.1782 | −0.639000 | −0.319500 | − | 0.947586i | \(-0.603515\pi\) | ||||
−0.319500 | + | 0.947586i | \(0.603515\pi\) | |||||||
\(642\) | 5.98527 | 0.236220 | ||||||||
\(643\) | 2.33568 | 0.0921101 | 0.0460550 | − | 0.998939i | \(-0.485335\pi\) | ||||
0.0460550 | + | 0.998939i | \(0.485335\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −10.9122 | −0.429669 | ||||||||
\(646\) | −1.61107 | −0.0633869 | ||||||||
\(647\) | −14.9622 | −0.588223 | −0.294112 | − | 0.955771i | \(-0.595024\pi\) | ||||
−0.294112 | + | 0.955771i | \(0.595024\pi\) | |||||||
\(648\) | 24.6962 | 0.970158 | ||||||||
\(649\) | 8.85195 | 0.347470 | ||||||||
\(650\) | 30.0345 | 1.17805 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 14.0251 | 0.549265 | ||||||||
\(653\) | −22.8898 | −0.895747 | −0.447873 | − | 0.894097i | \(-0.647818\pi\) | ||||
−0.447873 | + | 0.894097i | \(0.647818\pi\) | |||||||
\(654\) | 18.6861 | 0.730684 | ||||||||
\(655\) | 21.6188 | 0.844716 | ||||||||
\(656\) | 2.05590 | 0.0802692 | ||||||||
\(657\) | −2.99494 | −0.116844 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −2.20568 | −0.0859211 | −0.0429606 | − | 0.999077i | \(-0.513679\pi\) | ||||
−0.0429606 | + | 0.999077i | \(0.513679\pi\) | |||||||
\(660\) | −10.7065 | −0.416752 | ||||||||
\(661\) | 0.682377 | 0.0265414 | 0.0132707 | − | 0.999912i | \(-0.495776\pi\) | ||||
0.0132707 | + | 0.999912i | \(0.495776\pi\) | |||||||
\(662\) | 12.5018 | 0.485895 | ||||||||
\(663\) | −18.7290 | −0.727373 | ||||||||
\(664\) | 0.393308 | 0.0152633 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −1.94501 | −0.0753677 | ||||||||
\(667\) | 10.2978 | 0.398734 | ||||||||
\(668\) | −28.5809 | −1.10583 | ||||||||
\(669\) | 29.8814 | 1.15528 | ||||||||
\(670\) | −23.0224 | −0.889434 | ||||||||
\(671\) | −6.68676 | −0.258139 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −10.8865 | −0.419643 | −0.209821 | − | 0.977740i | \(-0.567288\pi\) | ||||
−0.209821 | + | 0.977740i | \(0.567288\pi\) | |||||||
\(674\) | 17.7384 | 0.683259 | ||||||||
\(675\) | 34.6687 | 1.33440 | ||||||||
\(676\) | −34.4432 | −1.32474 | ||||||||
\(677\) | −45.6654 | −1.75506 | −0.877532 | − | 0.479519i | \(-0.840811\pi\) | ||||
−0.877532 | + | 0.479519i | \(0.840811\pi\) | |||||||
\(678\) | −15.6238 | −0.600030 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −13.8546 | −0.531300 | ||||||||
\(681\) | −29.9622 | −1.14815 | ||||||||
\(682\) | −4.64892 | −0.178016 | ||||||||
\(683\) | 6.48372 | 0.248093 | 0.124046 | − | 0.992276i | \(-0.460413\pi\) | ||||
0.124046 | + | 0.992276i | \(0.460413\pi\) | |||||||
\(684\) | 1.52572 | 0.0583372 | ||||||||
\(685\) | −26.4932 | −1.01225 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −10.6540 | −0.406475 | ||||||||
\(688\) | 2.55676 | 0.0974757 | ||||||||
\(689\) | 54.5431 | 2.07793 | ||||||||
\(690\) | −14.9819 | −0.570353 | ||||||||
\(691\) | −10.9468 | −0.416434 | −0.208217 | − | 0.978083i | \(-0.566766\pi\) | ||||
−0.208217 | + | 0.978083i | \(0.566766\pi\) | |||||||
\(692\) | 30.6885 | 1.16660 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −13.2754 | −0.503927 | ||||||||
\(695\) | 38.6309 | 1.46535 | ||||||||
\(696\) | 13.8020 | 0.523164 | ||||||||
\(697\) | 2.13000 | 0.0806793 | ||||||||
\(698\) | 7.89418 | 0.298799 | ||||||||
\(699\) | 36.8590 | 1.39413 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −0.914874 | −0.0345543 | −0.0172772 | − | 0.999851i | \(-0.505500\pi\) | ||||
−0.0172772 | + | 0.999851i | \(0.505500\pi\) | |||||||
\(702\) | 17.3960 | 0.656568 | ||||||||
\(703\) | 6.68147 | 0.251996 | ||||||||
\(704\) | −0.568850 | −0.0214393 | ||||||||
\(705\) | −11.3055 | −0.425791 | ||||||||
\(706\) | 7.06466 | 0.265882 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −26.5559 | −0.998030 | ||||||||
\(709\) | 44.3123 | 1.66418 | 0.832092 | − | 0.554637i | \(-0.187143\pi\) | ||||
0.832092 | + | 0.554637i | \(0.187143\pi\) | |||||||
\(710\) | −20.1971 | −0.757982 | ||||||||
\(711\) | −4.19798 | −0.157436 | ||||||||
\(712\) | −6.01979 | −0.225601 | ||||||||
\(713\) | 23.6714 | 0.886499 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −21.0999 | −0.789090 | ||||||||
\(716\) | −5.09547 | −0.190427 | ||||||||
\(717\) | 42.3702 | 1.58234 | ||||||||
\(718\) | 15.9494 | 0.595226 | ||||||||
\(719\) | 5.20236 | 0.194015 | 0.0970076 | − | 0.995284i | \(-0.469073\pi\) | ||||
0.0970076 | + | 0.995284i | \(0.469073\pi\) | |||||||
\(720\) | 3.74704 | 0.139644 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −11.0354 | −0.410696 | ||||||||
\(723\) | −38.0044 | −1.41340 | ||||||||
\(724\) | −16.2231 | −0.602925 | ||||||||
\(725\) | 23.8295 | 0.885006 | ||||||||
\(726\) | −1.25561 | −0.0466000 | ||||||||
\(727\) | −50.0871 | −1.85763 | −0.928814 | − | 0.370547i | \(-0.879170\pi\) | ||||
−0.928814 | + | 0.370547i | \(0.879170\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 18.7866 | 0.695801 | ||||||||
\(730\) | −10.6885 | −0.395599 | ||||||||
\(731\) | 2.64892 | 0.0979737 | ||||||||
\(732\) | 20.0603 | 0.741449 | ||||||||
\(733\) | 47.0697 | 1.73856 | 0.869280 | − | 0.494320i | \(-0.164583\pi\) | ||||
0.869280 | + | 0.494320i | \(0.164583\pi\) | |||||||
\(734\) | −7.12055 | −0.262824 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 19.1799 | 0.706981 | ||||||||
\(737\) | 9.82446 | 0.361889 | ||||||||
\(738\) | 0.554351 | 0.0204059 | ||||||||
\(739\) | 46.9914 | 1.72861 | 0.864303 | − | 0.502971i | \(-0.167760\pi\) | ||||
0.864303 | + | 0.502971i | \(0.167760\pi\) | |||||||
\(740\) | 25.2583 | 0.928512 | ||||||||
\(741\) | 16.7444 | 0.615121 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −5.19533 | −0.190598 | −0.0952991 | − | 0.995449i | \(-0.530381\pi\) | ||||
−0.0952991 | + | 0.995449i | \(0.530381\pi\) | |||||||
\(744\) | 31.7263 | 1.16314 | ||||||||
\(745\) | −3.56885 | −0.130753 | ||||||||
\(746\) | −21.6843 | −0.793920 | ||||||||
\(747\) | −0.110206 | −0.00403222 | ||||||||
\(748\) | 2.59899 | 0.0950284 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −12.2633 | −0.447793 | ||||||||
\(751\) | 33.4536 | 1.22074 | 0.610369 | − | 0.792117i | \(-0.291021\pi\) | ||||
0.610369 | + | 0.792117i | \(0.291021\pi\) | |||||||
\(752\) | 2.64892 | 0.0965961 | ||||||||
\(753\) | 42.2747 | 1.54058 | ||||||||
\(754\) | 11.9571 | 0.435452 | ||||||||
\(755\) | 58.6128 | 2.13314 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 40.0440 | 1.45542 | 0.727711 | − | 0.685884i | \(-0.240584\pi\) | ||||
0.727711 | + | 0.685884i | \(0.240584\pi\) | |||||||
\(758\) | −14.4010 | −0.523068 | ||||||||
\(759\) | 6.39331 | 0.232062 | ||||||||
\(760\) | 12.3865 | 0.449306 | ||||||||
\(761\) | 7.55850 | 0.273995 | 0.136998 | − | 0.990571i | \(-0.456255\pi\) | ||||
0.136998 | + | 0.990571i | \(0.456255\pi\) | |||||||
\(762\) | 8.31392 | 0.301181 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −15.7237 | −0.568863 | ||||||||
\(765\) | 3.88209 | 0.140357 | ||||||||
\(766\) | −23.9424 | −0.865073 | ||||||||
\(767\) | −52.3348 | −1.88970 | ||||||||
\(768\) | 16.1126 | 0.581414 | ||||||||
\(769\) | −51.5407 | −1.85860 | −0.929302 | − | 0.369320i | \(-0.879591\pi\) | ||||
−0.929302 | + | 0.369320i | \(0.879591\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 55.6834 | 2.00539 | ||||||||
\(772\) | −39.7316 | −1.42997 | ||||||||
\(773\) | 15.4657 | 0.556262 | 0.278131 | − | 0.960543i | \(-0.410285\pi\) | ||||
0.278131 | + | 0.960543i | \(0.410285\pi\) | |||||||
\(774\) | 0.689404 | 0.0247801 | ||||||||
\(775\) | 54.7763 | 1.96762 | ||||||||
\(776\) | 22.8168 | 0.819074 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 12.7884 | 0.458485 | ||||||||
\(779\) | −1.90429 | −0.0682284 | ||||||||
\(780\) | 63.2996 | 2.26649 | ||||||||
\(781\) | 8.61878 | 0.308404 | ||||||||
\(782\) | 3.63683 | 0.130053 | ||||||||
\(783\) | 13.8020 | 0.493244 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 40.8667 | 1.45859 | ||||||||
\(786\) | −7.60602 | −0.271298 | ||||||||
\(787\) | −21.9518 | −0.782497 | −0.391249 | − | 0.920285i | \(-0.627957\pi\) | ||||
−0.391249 | + | 0.920285i | \(0.627957\pi\) | |||||||
\(788\) | 38.5638 | 1.37378 | ||||||||
\(789\) | 29.6463 | 1.05544 | ||||||||
\(790\) | −14.9819 | −0.533034 | ||||||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 1.53871 | 0.0546757 | ||||||||
\(793\) | 39.5337 | 1.40388 | ||||||||
\(794\) | 5.14782 | 0.182689 | ||||||||
\(795\) | −62.9588 | −2.23292 | ||||||||
\(796\) | 8.77188 | 0.310911 | ||||||||
\(797\) | −42.6258 | −1.50988 | −0.754942 | − | 0.655792i | \(-0.772335\pi\) | ||||
−0.754942 | + | 0.655792i | \(0.772335\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 2.74439 | 0.0970896 | ||||||||
\(800\) | 44.3830 | 1.56917 | ||||||||
\(801\) | 1.68676 | 0.0595987 | ||||||||
\(802\) | −16.0517 | −0.566804 | ||||||||
\(803\) | 4.56115 | 0.160959 | ||||||||
\(804\) | −29.4734 | −1.03945 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 27.4855 | 0.968134 | ||||||||
\(807\) | 3.26331 | 0.114874 | ||||||||
\(808\) | 4.34602 | 0.152893 | ||||||||
\(809\) | 3.96745 | 0.139488 | 0.0697440 | − | 0.997565i | \(-0.477782\pi\) | ||||
0.0697440 | + | 0.997565i | \(0.477782\pi\) | |||||||
\(810\) | −24.6962 | −0.867736 | ||||||||
\(811\) | 46.9217 | 1.64764 | 0.823821 | − | 0.566850i | \(-0.191838\pi\) | ||||
0.823821 | + | 0.566850i | \(0.191838\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −39.2549 | −1.37673 | ||||||||
\(814\) | 2.96216 | 0.103824 | ||||||||
\(815\) | −31.9045 | −1.11757 | ||||||||
\(816\) | −5.06534 | −0.177322 | ||||||||
\(817\) | −2.36823 | −0.0828538 | ||||||||
\(818\) | 1.54551 | 0.0540374 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −7.19888 | −0.251396 | ||||||||
\(821\) | −50.6000 | −1.76595 | −0.882977 | − | 0.469416i | \(-0.844464\pi\) | ||||
−0.882977 | + | 0.469416i | \(0.844464\pi\) | |||||||
\(822\) | 9.32094 | 0.325105 | ||||||||
\(823\) | 0.398599 | 0.0138943 | 0.00694714 | − | 0.999976i | \(-0.497789\pi\) | ||||
0.00694714 | + | 0.999976i | \(0.497789\pi\) | |||||||
\(824\) | −7.42345 | −0.258608 | ||||||||
\(825\) | 14.7943 | 0.515072 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −20.4234 | −0.710193 | −0.355096 | − | 0.934830i | \(-0.615552\pi\) | ||||
−0.355096 | + | 0.934830i | \(0.615552\pi\) | |||||||
\(828\) | −3.44414 | −0.119692 | ||||||||
\(829\) | 23.2633 | 0.807968 | 0.403984 | − | 0.914766i | \(-0.367625\pi\) | ||||
0.403984 | + | 0.914766i | \(0.367625\pi\) | |||||||
\(830\) | −0.393308 | −0.0136519 | ||||||||
\(831\) | 50.9819 | 1.76854 | ||||||||
\(832\) | 3.36317 | 0.116597 | ||||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −13.5913 | −0.470628 | ||||||||
\(835\) | 65.0165 | 2.24999 | ||||||||
\(836\) | −2.32359 | −0.0803630 | ||||||||
\(837\) | 31.7263 | 1.09662 | ||||||||
\(838\) | −6.10053 | −0.210739 | ||||||||
\(839\) | 16.4861 | 0.569165 | 0.284582 | − | 0.958652i | \(-0.408145\pi\) | ||||
0.284582 | + | 0.958652i | \(0.408145\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −19.5132 | −0.672869 | ||||||||
\(842\) | −25.6291 | −0.883238 | ||||||||
\(843\) | −30.1069 | −1.03694 | ||||||||
\(844\) | −18.9829 | −0.653417 | ||||||||
\(845\) | 78.3521 | 2.69540 | ||||||||
\(846\) | 0.714253 | 0.0245565 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 14.7514 | 0.506566 | ||||||||
\(849\) | −30.7290 | −1.05462 | ||||||||
\(850\) | 8.41574 | 0.288658 | ||||||||
\(851\) | −15.0827 | −0.517029 | ||||||||
\(852\) | −25.8563 | −0.885823 | ||||||||
\(853\) | 14.8315 | 0.507820 | 0.253910 | − | 0.967228i | \(-0.418283\pi\) | ||||
0.253910 | + | 0.967228i | \(0.418283\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −3.47073 | −0.118696 | ||||||||
\(856\) | 11.1705 | 0.381799 | ||||||||
\(857\) | 5.03188 | 0.171886 | 0.0859428 | − | 0.996300i | \(-0.472610\pi\) | ||||
0.0859428 | + | 0.996300i | \(0.472610\pi\) | |||||||
\(858\) | 7.42345 | 0.253432 | ||||||||
\(859\) | 56.0363 | 1.91193 | 0.955966 | − | 0.293477i | \(-0.0948123\pi\) | ||||
0.955966 | + | 0.293477i | \(0.0948123\pi\) | |||||||
\(860\) | −8.95272 | −0.305285 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −2.49649 | −0.0850307 | ||||||||
\(863\) | −36.4760 | −1.24166 | −0.620829 | − | 0.783946i | \(-0.713204\pi\) | ||||
−0.620829 | + | 0.783946i | \(0.713204\pi\) | |||||||
\(864\) | 25.7065 | 0.874555 | ||||||||
\(865\) | −69.8108 | −2.37364 | ||||||||
\(866\) | −5.39769 | −0.183421 | ||||||||
\(867\) | 27.2600 | 0.925798 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 6.39331 | 0.216878 | ||||||||
\(870\) | −13.8020 | −0.467932 | ||||||||
\(871\) | −58.0844 | −1.96812 | ||||||||
\(872\) | 34.8744 | 1.18100 | ||||||||
\(873\) | −6.39331 | −0.216381 | ||||||||
\(874\) | −3.25146 | −0.109982 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −13.6834 | −0.462321 | ||||||||
\(877\) | −6.61613 | −0.223411 | −0.111705 | − | 0.993741i | \(-0.535631\pi\) | ||||
−0.111705 | + | 0.993741i | \(0.535631\pi\) | |||||||
\(878\) | −2.98195 | −0.100636 | ||||||||
\(879\) | 29.3253 | 0.989119 | ||||||||
\(880\) | −5.70655 | −0.192368 | ||||||||
\(881\) | 22.5286 | 0.759008 | 0.379504 | − | 0.925190i | \(-0.376095\pi\) | ||||
0.379504 | + | 0.925190i | \(0.376095\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −51.1652 | −1.72185 | −0.860923 | − | 0.508735i | \(-0.830113\pi\) | ||||
−0.860923 | + | 0.508735i | \(0.830113\pi\) | |||||||
\(884\) | −15.3658 | −0.516808 | ||||||||
\(885\) | 60.4098 | 2.03065 | ||||||||
\(886\) | 9.02485 | 0.303196 | ||||||||
\(887\) | 6.33809 | 0.212812 | 0.106406 | − | 0.994323i | \(-0.466066\pi\) | ||||
0.106406 | + | 0.994323i | \(0.466066\pi\) | |||||||
\(888\) | −20.2151 | −0.678375 | ||||||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 6.01979 | 0.201784 | ||||||||
\(891\) | 10.5387 | 0.353060 | ||||||||
\(892\) | 24.5156 | 0.820843 | ||||||||
\(893\) | −2.45359 | −0.0821061 | ||||||||
\(894\) | 1.25561 | 0.0419938 | ||||||||
\(895\) | 11.5913 | 0.387454 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −37.7987 | −1.26206 | ||||||||
\(898\) | 14.1608 | 0.472552 | ||||||||
\(899\) | 21.8071 | 0.727307 | ||||||||
\(900\) | −7.96986 | −0.265662 | ||||||||
\(901\) | 15.2831 | 0.509154 | ||||||||
\(902\) | −0.844248 | −0.0281104 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −29.1592 | −0.969821 | ||||||||
\(905\) | 36.9045 | 1.22675 | ||||||||
\(906\) | −20.6214 | −0.685101 | ||||||||
\(907\) | −6.88474 | −0.228604 | −0.114302 | − | 0.993446i | \(-0.536463\pi\) | ||||
−0.114302 | + | 0.993446i | \(0.536463\pi\) | |||||||
\(908\) | −24.5818 | −0.815777 | ||||||||
\(909\) | −1.21777 | −0.0403908 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −41.0818 | −1.36110 | −0.680550 | − | 0.732701i | \(-0.738259\pi\) | ||||
−0.680550 | + | 0.732701i | \(0.738259\pi\) | |||||||
\(912\) | 4.52859 | 0.149957 | ||||||||
\(913\) | 0.167838 | 0.00555462 | ||||||||
\(914\) | −2.17048 | −0.0717932 | ||||||||
\(915\) | −45.6335 | −1.50860 | ||||||||
\(916\) | −8.74084 | −0.288805 | ||||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 4.87439 | 0.160879 | ||||||||
\(919\) | −11.6265 | −0.383522 | −0.191761 | − | 0.981442i | \(-0.561420\pi\) | ||||
−0.191761 | + | 0.981442i | \(0.561420\pi\) | |||||||
\(920\) | −27.9612 | −0.921855 | ||||||||
\(921\) | −31.4958 | −1.03782 | ||||||||
\(922\) | 21.1119 | 0.695285 | ||||||||
\(923\) | −50.9562 | −1.67724 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −34.9019 | −1.14757 | ||||||||
\(926\) | 3.82272 | 0.125622 | ||||||||
\(927\) | 2.08007 | 0.0683184 | ||||||||
\(928\) | 17.6694 | 0.580026 | ||||||||
\(929\) | −24.7668 | −0.812573 | −0.406287 | − | 0.913746i | \(-0.633177\pi\) | ||||
−0.406287 | + | 0.913746i | \(0.633177\pi\) | |||||||
\(930\) | −31.7263 | −1.04035 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 30.2402 | 0.990551 | ||||||||
\(933\) | 41.3598 | 1.35406 | ||||||||
\(934\) | 3.94940 | 0.129228 | ||||||||
\(935\) | −5.91223 | −0.193351 | ||||||||
\(936\) | −9.09721 | −0.297352 | ||||||||
\(937\) | −1.15046 | −0.0375839 | −0.0187920 | − | 0.999823i | \(-0.505982\pi\) | ||||
−0.0187920 | + | 0.999823i | \(0.505982\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 31.3381 | 1.02268 | ||||||||
\(940\) | −9.27540 | −0.302530 | ||||||||
\(941\) | −10.1102 | −0.329583 | −0.164792 | − | 0.986328i | \(-0.552695\pi\) | ||||
−0.164792 | + | 0.986328i | \(0.552695\pi\) | |||||||
\(942\) | −14.3779 | −0.468457 | ||||||||
\(943\) | 4.29874 | 0.139986 | ||||||||
\(944\) | −14.1542 | −0.460679 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −1.04993 | −0.0341361 | ||||||||
\(947\) | −24.4553 | −0.794691 | −0.397346 | − | 0.917669i | \(-0.630069\pi\) | ||||
−0.397346 | + | 0.917669i | \(0.630069\pi\) | |||||||
\(948\) | −19.1799 | −0.622935 | ||||||||
\(949\) | −26.9665 | −0.875371 | ||||||||
\(950\) | −7.52398 | −0.244110 | ||||||||
\(951\) | −8.53101 | −0.276637 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −16.1696 | −0.523784 | −0.261892 | − | 0.965097i | \(-0.584346\pi\) | ||||
−0.261892 | + | 0.965097i | \(0.584346\pi\) | |||||||
\(954\) | 3.97757 | 0.128778 | ||||||||
\(955\) | 35.7686 | 1.15744 | ||||||||
\(956\) | 34.7618 | 1.12428 | ||||||||
\(957\) | 5.88979 | 0.190390 | ||||||||
\(958\) | −11.2512 | −0.363511 | ||||||||
\(959\) | 0 | 0 | ||||||||
\(960\) | −3.88209 | −0.125294 | ||||||||
\(961\) | 19.1274 | 0.617011 | ||||||||
\(962\) | −17.5130 | −0.564640 | ||||||||
\(963\) | −3.13000 | −0.100863 | ||||||||
\(964\) | −31.1799 | −1.00424 | ||||||||
\(965\) | 90.3823 | 2.90951 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −1.55941 | −0.0501472 | −0.0250736 | − | 0.999686i | \(-0.507982\pi\) | ||||
−0.0250736 | + | 0.999686i | \(0.507982\pi\) | |||||||
\(968\) | −2.34338 | −0.0753191 | ||||||||
\(969\) | 4.69182 | 0.150723 | ||||||||
\(970\) | −22.8168 | −0.732602 | ||||||||
\(971\) | 9.04728 | 0.290341 | 0.145171 | − | 0.989407i | \(-0.453627\pi\) | ||||
0.145171 | + | 0.989407i | \(0.453627\pi\) | |||||||
\(972\) | −10.5257 | −0.337613 | ||||||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 3.75209 | 0.120225 | ||||||||
\(975\) | −87.4674 | −2.80120 | ||||||||
\(976\) | 10.6920 | 0.342244 | ||||||||
\(977\) | −6.75648 | −0.216159 | −0.108079 | − | 0.994142i | \(-0.534470\pi\) | ||||
−0.108079 | + | 0.994142i | \(0.534470\pi\) | |||||||
\(978\) | 11.2248 | 0.358929 | ||||||||
\(979\) | −2.56885 | −0.0821008 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −9.77188 | −0.311992 | ||||||||
\(982\) | 15.8031 | 0.504297 | ||||||||
\(983\) | −26.4305 | −0.843001 | −0.421501 | − | 0.906828i | \(-0.638496\pi\) | ||||
−0.421501 | + | 0.906828i | \(0.638496\pi\) | |||||||
\(984\) | 5.76154 | 0.183671 | ||||||||
\(985\) | −87.7257 | −2.79517 | ||||||||
\(986\) | 3.35041 | 0.106699 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 13.7376 | 0.437051 | ||||||||
\(989\) | 5.34602 | 0.169994 | ||||||||
\(990\) | −1.53871 | −0.0489034 | ||||||||
\(991\) | −0.634185 | −0.0201456 | −0.0100728 | − | 0.999949i | \(-0.503206\pi\) | ||||
−0.0100728 | + | 0.999949i | \(0.503206\pi\) | |||||||
\(992\) | 40.6161 | 1.28956 | ||||||||
\(993\) | −36.4080 | −1.15537 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −19.9545 | −0.632599 | ||||||||
\(996\) | −0.503514 | −0.0159544 | ||||||||
\(997\) | −10.1274 | −0.320736 | −0.160368 | − | 0.987057i | \(-0.551268\pi\) | ||||
−0.160368 | + | 0.987057i | \(0.551268\pi\) | |||||||
\(998\) | 7.08445 | 0.224254 | ||||||||
\(999\) | −20.2151 | −0.639578 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))