Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [3025,2,Mod(1,3025)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(3025, 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("3025.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 3025 = 5^{2} \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 3025.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: | \(24.1547466114\) |
Analytic rank: | \(1\) |
Dimension: | \(4\) |
Coefficient field: | \(\Q(\sqrt{3}, \sqrt{11})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - 7x^{2} + 4 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 55) |
Fricke sign: | \(1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.1 | ||
Root | \(-2.52434\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 3025.1 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.52434 | −1.78498 | −0.892488 | − | 0.451071i | \(-0.851042\pi\) | ||||
−0.892488 | + | 0.451071i | \(0.851042\pi\) | |||||||
\(3\) | 0.792287 | 0.457427 | 0.228714 | − | 0.973494i | \(-0.426548\pi\) | ||||
0.228714 | + | 0.973494i | \(0.426548\pi\) | |||||||
\(4\) | 4.37228 | 2.18614 | ||||||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −2.00000 | −0.816497 | ||||||||
\(7\) | 3.46410 | 1.30931 | 0.654654 | − | 0.755929i | \(-0.272814\pi\) | ||||
0.654654 | + | 0.755929i | \(0.272814\pi\) | |||||||
\(8\) | −5.98844 | −2.11723 | ||||||||
\(9\) | −2.37228 | −0.790760 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0 | 0 | ||||||||
\(12\) | 3.46410 | 1.00000 | ||||||||
\(13\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(14\) | −8.74456 | −2.33708 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 6.37228 | 1.59307 | ||||||||
\(17\) | 1.58457 | 0.384316 | 0.192158 | − | 0.981364i | \(-0.438451\pi\) | ||||
0.192158 | + | 0.981364i | \(0.438451\pi\) | |||||||
\(18\) | 5.98844 | 1.41149 | ||||||||
\(19\) | −4.00000 | −0.917663 | −0.458831 | − | 0.888523i | \(-0.651732\pi\) | ||||
−0.458831 | + | 0.888523i | \(0.651732\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 2.74456 | 0.598913 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −0.792287 | −0.165203 | −0.0826016 | − | 0.996583i | \(-0.526323\pi\) | ||||
−0.0826016 | + | 0.996583i | \(0.526323\pi\) | |||||||
\(24\) | −4.74456 | −0.968480 | ||||||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −4.25639 | −0.819142 | ||||||||
\(28\) | 15.1460 | 2.86233 | ||||||||
\(29\) | −8.74456 | −1.62382 | −0.811912 | − | 0.583779i | \(-0.801573\pi\) | ||||
−0.811912 | + | 0.583779i | \(0.801573\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.37228 | 0.605680 | 0.302840 | − | 0.953041i | \(-0.402065\pi\) | ||||
0.302840 | + | 0.953041i | \(0.402065\pi\) | |||||||
\(32\) | −4.10891 | −0.726360 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −4.00000 | −0.685994 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −10.3723 | −1.72871 | ||||||||
\(37\) | 1.08724 | 0.178741 | 0.0893706 | − | 0.995998i | \(-0.471514\pi\) | ||||
0.0893706 | + | 0.995998i | \(0.471514\pi\) | |||||||
\(38\) | 10.0974 | 1.63801 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −8.74456 | −1.36567 | −0.682836 | − | 0.730572i | \(-0.739253\pi\) | ||||
−0.682836 | + | 0.730572i | \(0.739253\pi\) | |||||||
\(42\) | −6.92820 | −1.06904 | ||||||||
\(43\) | 3.46410 | 0.528271 | 0.264135 | − | 0.964486i | \(-0.414913\pi\) | ||||
0.264135 | + | 0.964486i | \(0.414913\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 2.00000 | 0.294884 | ||||||||
\(47\) | 6.63325 | 0.967559 | 0.483779 | − | 0.875190i | \(-0.339264\pi\) | ||||
0.483779 | + | 0.875190i | \(0.339264\pi\) | |||||||
\(48\) | 5.04868 | 0.728714 | ||||||||
\(49\) | 5.00000 | 0.714286 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 1.25544 | 0.175796 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −10.0974 | −1.38698 | −0.693489 | − | 0.720467i | \(-0.743927\pi\) | ||||
−0.693489 | + | 0.720467i | \(0.743927\pi\) | |||||||
\(54\) | 10.7446 | 1.46215 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −20.7446 | −2.77211 | ||||||||
\(57\) | −3.16915 | −0.419764 | ||||||||
\(58\) | 22.0742 | 2.89849 | ||||||||
\(59\) | −7.37228 | −0.959789 | −0.479895 | − | 0.877326i | \(-0.659325\pi\) | ||||
−0.479895 | + | 0.877326i | \(0.659325\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.744563 | 0.0953315 | 0.0476657 | − | 0.998863i | \(-0.484822\pi\) | ||||
0.0476657 | + | 0.998863i | \(0.484822\pi\) | |||||||
\(62\) | −8.51278 | −1.08112 | ||||||||
\(63\) | −8.21782 | −1.03535 | ||||||||
\(64\) | −2.37228 | −0.296535 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −9.30506 | −1.13679 | −0.568397 | − | 0.822754i | \(-0.692436\pi\) | ||||
−0.568397 | + | 0.822754i | \(0.692436\pi\) | |||||||
\(68\) | 6.92820 | 0.840168 | ||||||||
\(69\) | −0.627719 | −0.0755684 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −10.1168 | −1.20065 | −0.600324 | − | 0.799757i | \(-0.704962\pi\) | ||||
−0.600324 | + | 0.799757i | \(0.704962\pi\) | |||||||
\(72\) | 14.2063 | 1.67422 | ||||||||
\(73\) | −6.92820 | −0.810885 | −0.405442 | − | 0.914121i | \(-0.632883\pi\) | ||||
−0.405442 | + | 0.914121i | \(0.632883\pi\) | |||||||
\(74\) | −2.74456 | −0.319049 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −17.4891 | −2.00614 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.25544 | −0.141248 | −0.0706239 | − | 0.997503i | \(-0.522499\pi\) | ||||
−0.0706239 | + | 0.997503i | \(0.522499\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 3.74456 | 0.416063 | ||||||||
\(82\) | 22.0742 | 2.43769 | ||||||||
\(83\) | 6.63325 | 0.728094 | 0.364047 | − | 0.931381i | \(-0.381395\pi\) | ||||
0.364047 | + | 0.931381i | \(0.381395\pi\) | |||||||
\(84\) | 12.0000 | 1.30931 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −8.74456 | −0.942950 | ||||||||
\(87\) | −6.92820 | −0.742781 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 1.37228 | 0.145462 | 0.0727308 | − | 0.997352i | \(-0.476829\pi\) | ||||
0.0727308 | + | 0.997352i | \(0.476829\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −3.46410 | −0.361158 | ||||||||
\(93\) | 2.67181 | 0.277054 | ||||||||
\(94\) | −16.7446 | −1.72707 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −3.25544 | −0.332257 | ||||||||
\(97\) | −5.84096 | −0.593060 | −0.296530 | − | 0.955024i | \(-0.595829\pi\) | ||||
−0.296530 | + | 0.955024i | \(0.595829\pi\) | |||||||
\(98\) | −12.6217 | −1.27498 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −6.00000 | −0.597022 | −0.298511 | − | 0.954406i | \(-0.596490\pi\) | ||||
−0.298511 | + | 0.954406i | \(0.596490\pi\) | |||||||
\(102\) | −3.16915 | −0.313792 | ||||||||
\(103\) | 10.3923 | 1.02398 | 0.511992 | − | 0.858990i | \(-0.328908\pi\) | ||||
0.511992 | + | 0.858990i | \(0.328908\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 25.4891 | 2.47572 | ||||||||
\(107\) | −6.63325 | −0.641260 | −0.320630 | − | 0.947204i | \(-0.603895\pi\) | ||||
−0.320630 | + | 0.947204i | \(0.603895\pi\) | |||||||
\(108\) | −18.6101 | −1.79076 | ||||||||
\(109\) | −10.0000 | −0.957826 | −0.478913 | − | 0.877862i | \(-0.658969\pi\) | ||||
−0.478913 | + | 0.877862i | \(0.658969\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0.861407 | 0.0817611 | ||||||||
\(112\) | 22.0742 | 2.08582 | ||||||||
\(113\) | 0.497333 | 0.0467852 | 0.0233926 | − | 0.999726i | \(-0.492553\pi\) | ||||
0.0233926 | + | 0.999726i | \(0.492553\pi\) | |||||||
\(114\) | 8.00000 | 0.749269 | ||||||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −38.2337 | −3.54991 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 18.6101 | 1.71320 | ||||||||
\(119\) | 5.48913 | 0.503187 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 0 | 0 | ||||||||
\(122\) | −1.87953 | −0.170164 | ||||||||
\(123\) | −6.92820 | −0.624695 | ||||||||
\(124\) | 14.7446 | 1.32410 | ||||||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 20.7446 | 1.84807 | ||||||||
\(127\) | −8.21782 | −0.729214 | −0.364607 | − | 0.931162i | \(-0.618797\pi\) | ||||
−0.364607 | + | 0.931162i | \(0.618797\pi\) | |||||||
\(128\) | 14.2063 | 1.25567 | ||||||||
\(129\) | 2.74456 | 0.241645 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 2.74456 | 0.239794 | 0.119897 | − | 0.992786i | \(-0.461744\pi\) | ||||
0.119897 | + | 0.992786i | \(0.461744\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −13.8564 | −1.20150 | ||||||||
\(134\) | 23.4891 | 2.02915 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −9.48913 | −0.813686 | ||||||||
\(137\) | −14.3537 | −1.22632 | −0.613161 | − | 0.789958i | \(-0.710102\pi\) | ||||
−0.613161 | + | 0.789958i | \(0.710102\pi\) | |||||||
\(138\) | 1.58457 | 0.134888 | ||||||||
\(139\) | 16.2337 | 1.37692 | 0.688462 | − | 0.725273i | \(-0.258286\pi\) | ||||
0.688462 | + | 0.725273i | \(0.258286\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 5.25544 | 0.442588 | ||||||||
\(142\) | 25.5383 | 2.14313 | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | −15.1168 | −1.25974 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 17.4891 | 1.44741 | ||||||||
\(147\) | 3.96143 | 0.326734 | ||||||||
\(148\) | 4.75372 | 0.390754 | ||||||||
\(149\) | 11.4891 | 0.941226 | 0.470613 | − | 0.882340i | \(-0.344033\pi\) | ||||
0.470613 | + | 0.882340i | \(0.344033\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 12.2337 | 0.995563 | 0.497782 | − | 0.867302i | \(-0.334148\pi\) | ||||
0.497782 | + | 0.867302i | \(0.334148\pi\) | |||||||
\(152\) | 23.9538 | 1.94291 | ||||||||
\(153\) | −3.75906 | −0.303902 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 24.4511 | 1.95141 | 0.975705 | − | 0.219090i | \(-0.0703087\pi\) | ||||
0.975705 | + | 0.219090i | \(0.0703087\pi\) | |||||||
\(158\) | 3.16915 | 0.252124 | ||||||||
\(159\) | −8.00000 | −0.634441 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −2.74456 | −0.216302 | ||||||||
\(162\) | −9.45254 | −0.742662 | ||||||||
\(163\) | 3.46410 | 0.271329 | 0.135665 | − | 0.990755i | \(-0.456683\pi\) | ||||
0.135665 | + | 0.990755i | \(0.456683\pi\) | |||||||
\(164\) | −38.2337 | −2.98555 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −16.7446 | −1.29963 | ||||||||
\(167\) | −15.7359 | −1.21768 | −0.608842 | − | 0.793292i | \(-0.708365\pi\) | ||||
−0.608842 | + | 0.793292i | \(0.708365\pi\) | |||||||
\(168\) | −16.4356 | −1.26804 | ||||||||
\(169\) | −13.0000 | −1.00000 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 9.48913 | 0.725652 | ||||||||
\(172\) | 15.1460 | 1.15487 | ||||||||
\(173\) | −8.51278 | −0.647214 | −0.323607 | − | 0.946192i | \(-0.604896\pi\) | ||||
−0.323607 | + | 0.946192i | \(0.604896\pi\) | |||||||
\(174\) | 17.4891 | 1.32585 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −5.84096 | −0.439034 | ||||||||
\(178\) | −3.46410 | −0.259645 | ||||||||
\(179\) | 12.8614 | 0.961307 | 0.480653 | − | 0.876911i | \(-0.340400\pi\) | ||||
0.480653 | + | 0.876911i | \(0.340400\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 24.1168 | 1.79259 | 0.896295 | − | 0.443457i | \(-0.146248\pi\) | ||||
0.896295 | + | 0.443457i | \(0.146248\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0.589907 | 0.0436072 | ||||||||
\(184\) | 4.74456 | 0.349774 | ||||||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −6.74456 | −0.494535 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | 29.0024 | 2.11522 | ||||||||
\(189\) | −14.7446 | −1.07251 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −19.3723 | −1.40173 | −0.700865 | − | 0.713294i | \(-0.747202\pi\) | ||||
−0.700865 | + | 0.713294i | \(0.747202\pi\) | |||||||
\(192\) | −1.87953 | −0.135643 | ||||||||
\(193\) | −16.4356 | −1.18306 | −0.591532 | − | 0.806282i | \(-0.701477\pi\) | ||||
−0.591532 | + | 0.806282i | \(0.701477\pi\) | |||||||
\(194\) | 14.7446 | 1.05860 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 21.8614 | 1.56153 | ||||||||
\(197\) | 8.51278 | 0.606510 | 0.303255 | − | 0.952909i | \(-0.401927\pi\) | ||||
0.303255 | + | 0.952909i | \(0.401927\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −8.00000 | −0.567105 | −0.283552 | − | 0.958957i | \(-0.591513\pi\) | ||||
−0.283552 | + | 0.958957i | \(0.591513\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −7.37228 | −0.520001 | ||||||||
\(202\) | 15.1460 | 1.06567 | ||||||||
\(203\) | −30.2921 | −2.12609 | ||||||||
\(204\) | 5.48913 | 0.384316 | ||||||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −26.2337 | −1.82779 | ||||||||
\(207\) | 1.87953 | 0.130636 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −1.48913 | −0.102516 | −0.0512578 | − | 0.998685i | \(-0.516323\pi\) | ||||
−0.0512578 | + | 0.998685i | \(0.516323\pi\) | |||||||
\(212\) | −44.1485 | −3.03213 | ||||||||
\(213\) | −8.01544 | −0.549209 | ||||||||
\(214\) | 16.7446 | 1.14463 | ||||||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 25.4891 | 1.73432 | ||||||||
\(217\) | 11.6819 | 0.793021 | ||||||||
\(218\) | 25.2434 | 1.70970 | ||||||||
\(219\) | −5.48913 | −0.370921 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 0 | 0 | ||||||||
\(222\) | −2.17448 | −0.145942 | ||||||||
\(223\) | 2.37686 | 0.159166 | 0.0795832 | − | 0.996828i | \(-0.474641\pi\) | ||||
0.0795832 | + | 0.996828i | \(0.474641\pi\) | |||||||
\(224\) | −14.2337 | −0.951028 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −1.25544 | −0.0835105 | ||||||||
\(227\) | 16.7306 | 1.11045 | 0.555224 | − | 0.831701i | \(-0.312632\pi\) | ||||
0.555224 | + | 0.831701i | \(0.312632\pi\) | |||||||
\(228\) | −13.8564 | −0.917663 | ||||||||
\(229\) | 14.6277 | 0.966627 | 0.483313 | − | 0.875447i | \(-0.339433\pi\) | ||||
0.483313 | + | 0.875447i | \(0.339433\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 52.3663 | 3.43801 | ||||||||
\(233\) | −3.75906 | −0.246264 | −0.123132 | − | 0.992390i | \(-0.539294\pi\) | ||||
−0.123132 | + | 0.992390i | \(0.539294\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −32.2337 | −2.09823 | ||||||||
\(237\) | −0.994667 | −0.0646105 | ||||||||
\(238\) | −13.8564 | −0.898177 | ||||||||
\(239\) | 14.7446 | 0.953746 | 0.476873 | − | 0.878972i | \(-0.341770\pi\) | ||||
0.476873 | + | 0.878972i | \(0.341770\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −16.7446 | −1.07861 | −0.539306 | − | 0.842110i | \(-0.681313\pi\) | ||||
−0.539306 | + | 0.842110i | \(0.681313\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 15.7359 | 1.00946 | ||||||||
\(244\) | 3.25544 | 0.208408 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 17.4891 | 1.11507 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | −20.1947 | −1.28236 | ||||||||
\(249\) | 5.25544 | 0.333050 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −22.1168 | −1.39600 | −0.698001 | − | 0.716096i | \(-0.745927\pi\) | ||||
−0.698001 | + | 0.716096i | \(0.745927\pi\) | |||||||
\(252\) | −35.9306 | −2.26342 | ||||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | 20.7446 | 1.30163 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −31.1168 | −1.94480 | ||||||||
\(257\) | −10.6873 | −0.666653 | −0.333326 | − | 0.942811i | \(-0.608171\pi\) | ||||
−0.333326 | + | 0.942811i | \(0.608171\pi\) | |||||||
\(258\) | −6.92820 | −0.431331 | ||||||||
\(259\) | 3.76631 | 0.234027 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 20.7446 | 1.28406 | ||||||||
\(262\) | −6.92820 | −0.428026 | ||||||||
\(263\) | 27.4179 | 1.69066 | 0.845329 | − | 0.534246i | \(-0.179405\pi\) | ||||
0.845329 | + | 0.534246i | \(0.179405\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 34.9783 | 2.14465 | ||||||||
\(267\) | 1.08724 | 0.0665380 | ||||||||
\(268\) | −40.6844 | −2.48519 | ||||||||
\(269\) | −11.4891 | −0.700504 | −0.350252 | − | 0.936655i | \(-0.613904\pi\) | ||||
−0.350252 | + | 0.936655i | \(0.613904\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −13.4891 | −0.819406 | −0.409703 | − | 0.912219i | \(-0.634368\pi\) | ||||
−0.409703 | + | 0.912219i | \(0.634368\pi\) | |||||||
\(272\) | 10.0974 | 0.612242 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 36.2337 | 2.18896 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −2.74456 | −0.165203 | ||||||||
\(277\) | −11.6819 | −0.701899 | −0.350949 | − | 0.936394i | \(-0.614141\pi\) | ||||
−0.350949 | + | 0.936394i | \(0.614141\pi\) | |||||||
\(278\) | −40.9793 | −2.45778 | ||||||||
\(279\) | −8.00000 | −0.478947 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 0.510875 | 0.0304762 | 0.0152381 | − | 0.999884i | \(-0.495149\pi\) | ||||
0.0152381 | + | 0.999884i | \(0.495149\pi\) | |||||||
\(282\) | −13.2665 | −0.790009 | ||||||||
\(283\) | 15.1460 | 0.900338 | 0.450169 | − | 0.892943i | \(-0.351364\pi\) | ||||
0.450169 | + | 0.892943i | \(0.351364\pi\) | |||||||
\(284\) | −44.2337 | −2.62479 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −30.2921 | −1.78808 | ||||||||
\(288\) | 9.74749 | 0.574377 | ||||||||
\(289\) | −14.4891 | −0.852301 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −4.62772 | −0.271282 | ||||||||
\(292\) | −30.2921 | −1.77271 | ||||||||
\(293\) | 3.16915 | 0.185144 | 0.0925718 | − | 0.995706i | \(-0.470491\pi\) | ||||
0.0925718 | + | 0.995706i | \(0.470491\pi\) | |||||||
\(294\) | −10.0000 | −0.583212 | ||||||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −6.51087 | −0.378437 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −29.0024 | −1.68007 | ||||||||
\(299\) | 0 | 0 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 12.0000 | 0.691669 | ||||||||
\(302\) | −30.8820 | −1.77706 | ||||||||
\(303\) | −4.75372 | −0.273094 | ||||||||
\(304\) | −25.4891 | −1.46190 | ||||||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 9.48913 | 0.542457 | ||||||||
\(307\) | 31.5817 | 1.80246 | 0.901231 | − | 0.433340i | \(-0.142665\pi\) | ||||
0.901231 | + | 0.433340i | \(0.142665\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 8.23369 | 0.468398 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 5.48913 | 0.311260 | 0.155630 | − | 0.987815i | \(-0.450259\pi\) | ||||
0.155630 | + | 0.987815i | \(0.450259\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 21.8719 | 1.23627 | 0.618135 | − | 0.786072i | \(-0.287888\pi\) | ||||
0.618135 | + | 0.786072i | \(0.287888\pi\) | |||||||
\(314\) | −61.7228 | −3.48322 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −5.48913 | −0.308787 | ||||||||
\(317\) | −32.9639 | −1.85144 | −0.925718 | − | 0.378215i | \(-0.876538\pi\) | ||||
−0.925718 | + | 0.378215i | \(0.876538\pi\) | |||||||
\(318\) | 20.1947 | 1.13246 | ||||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −5.25544 | −0.293330 | ||||||||
\(322\) | 6.92820 | 0.386094 | ||||||||
\(323\) | −6.33830 | −0.352672 | ||||||||
\(324\) | 16.3723 | 0.909571 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −8.74456 | −0.484317 | ||||||||
\(327\) | −7.92287 | −0.438136 | ||||||||
\(328\) | 52.3663 | 2.89144 | ||||||||
\(329\) | 22.9783 | 1.26683 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −14.1168 | −0.775932 | −0.387966 | − | 0.921674i | \(-0.626822\pi\) | ||||
−0.387966 | + | 0.921674i | \(0.626822\pi\) | |||||||
\(332\) | 29.0024 | 1.59172 | ||||||||
\(333\) | −2.57924 | −0.141342 | ||||||||
\(334\) | 39.7228 | 2.17354 | ||||||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 17.4891 | 0.954110 | ||||||||
\(337\) | −32.4665 | −1.76856 | −0.884282 | − | 0.466952i | \(-0.845352\pi\) | ||||
−0.884282 | + | 0.466952i | \(0.845352\pi\) | |||||||
\(338\) | 32.8164 | 1.78498 | ||||||||
\(339\) | 0.394031 | 0.0214008 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 0 | 0 | ||||||||
\(342\) | −23.9538 | −1.29527 | ||||||||
\(343\) | −6.92820 | −0.374088 | ||||||||
\(344\) | −20.7446 | −1.11847 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 21.4891 | 1.15526 | ||||||||
\(347\) | −22.6641 | −1.21667 | −0.608337 | − | 0.793679i | \(-0.708163\pi\) | ||||
−0.608337 | + | 0.793679i | \(0.708163\pi\) | |||||||
\(348\) | −30.2921 | −1.62382 | ||||||||
\(349\) | −15.4891 | −0.829114 | −0.414557 | − | 0.910023i | \(-0.636063\pi\) | ||||
−0.414557 | + | 0.910023i | \(0.636063\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −25.0410 | −1.33280 | −0.666399 | − | 0.745595i | \(-0.732165\pi\) | ||||
−0.666399 | + | 0.745595i | \(0.732165\pi\) | |||||||
\(354\) | 14.7446 | 0.783665 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 6.00000 | 0.317999 | ||||||||
\(357\) | 4.34896 | 0.230172 | ||||||||
\(358\) | −32.4665 | −1.71591 | ||||||||
\(359\) | −29.4891 | −1.55638 | −0.778188 | − | 0.628031i | \(-0.783861\pi\) | ||||
−0.778188 | + | 0.628031i | \(0.783861\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −3.00000 | −0.157895 | ||||||||
\(362\) | −60.8791 | −3.19973 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −1.48913 | −0.0778378 | ||||||||
\(367\) | −25.7407 | −1.34365 | −0.671827 | − | 0.740708i | \(-0.734490\pi\) | ||||
−0.671827 | + | 0.740708i | \(0.734490\pi\) | |||||||
\(368\) | −5.04868 | −0.263180 | ||||||||
\(369\) | 20.7446 | 1.07992 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −34.9783 | −1.81598 | ||||||||
\(372\) | 11.6819 | 0.605680 | ||||||||
\(373\) | −11.6819 | −0.604867 | −0.302434 | − | 0.953170i | \(-0.597799\pi\) | ||||
−0.302434 | + | 0.953170i | \(0.597799\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −39.7228 | −2.04855 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | 37.2203 | 1.91440 | ||||||||
\(379\) | −0.627719 | −0.0322437 | −0.0161219 | − | 0.999870i | \(-0.505132\pi\) | ||||
−0.0161219 | + | 0.999870i | \(0.505132\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −6.51087 | −0.333562 | ||||||||
\(382\) | 48.9022 | 2.50205 | ||||||||
\(383\) | 10.8896 | 0.556435 | 0.278217 | − | 0.960518i | \(-0.410256\pi\) | ||||
0.278217 | + | 0.960518i | \(0.410256\pi\) | |||||||
\(384\) | 11.2554 | 0.574377 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 41.4891 | 2.11174 | ||||||||
\(387\) | −8.21782 | −0.417735 | ||||||||
\(388\) | −25.5383 | −1.29651 | ||||||||
\(389\) | 18.8614 | 0.956311 | 0.478156 | − | 0.878275i | \(-0.341305\pi\) | ||||
0.478156 | + | 0.878275i | \(0.341305\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −1.25544 | −0.0634902 | ||||||||
\(392\) | −29.9422 | −1.51231 | ||||||||
\(393\) | 2.17448 | 0.109688 | ||||||||
\(394\) | −21.4891 | −1.08261 | ||||||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 16.4356 | 0.824881 | 0.412441 | − | 0.910984i | \(-0.364676\pi\) | ||||
0.412441 | + | 0.910984i | \(0.364676\pi\) | |||||||
\(398\) | 20.1947 | 1.01227 | ||||||||
\(399\) | −10.9783 | −0.549600 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −11.4891 | −0.573740 | −0.286870 | − | 0.957970i | \(-0.592615\pi\) | ||||
−0.286870 | + | 0.957970i | \(0.592615\pi\) | |||||||
\(402\) | 18.6101 | 0.928189 | ||||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | −26.2337 | −1.30517 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 76.4674 | 3.79501 | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | −7.51811 | −0.372202 | ||||||||
\(409\) | −27.4891 | −1.35925 | −0.679625 | − | 0.733560i | \(-0.737857\pi\) | ||||
−0.679625 | + | 0.733560i | \(0.737857\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −11.3723 | −0.560953 | ||||||||
\(412\) | 45.4381 | 2.23857 | ||||||||
\(413\) | −25.5383 | −1.25666 | ||||||||
\(414\) | −4.74456 | −0.233183 | ||||||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 12.8617 | 0.629842 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −22.9783 | −1.12256 | −0.561280 | − | 0.827626i | \(-0.689691\pi\) | ||||
−0.561280 | + | 0.827626i | \(0.689691\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 8.51087 | 0.414795 | 0.207397 | − | 0.978257i | \(-0.433501\pi\) | ||||
0.207397 | + | 0.978257i | \(0.433501\pi\) | |||||||
\(422\) | 3.75906 | 0.182988 | ||||||||
\(423\) | −15.7359 | −0.765107 | ||||||||
\(424\) | 60.4674 | 2.93656 | ||||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 20.2337 | 0.980325 | ||||||||
\(427\) | 2.57924 | 0.124818 | ||||||||
\(428\) | −29.0024 | −1.40189 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 25.7228 | 1.23902 | 0.619512 | − | 0.784987i | \(-0.287330\pi\) | ||||
0.619512 | + | 0.784987i | \(0.287330\pi\) | |||||||
\(432\) | −27.1229 | −1.30495 | ||||||||
\(433\) | −29.2048 | −1.40349 | −0.701747 | − | 0.712426i | \(-0.747596\pi\) | ||||
−0.701747 | + | 0.712426i | \(0.747596\pi\) | |||||||
\(434\) | −29.4891 | −1.41552 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −43.7228 | −2.09394 | ||||||||
\(437\) | 3.16915 | 0.151601 | ||||||||
\(438\) | 13.8564 | 0.662085 | ||||||||
\(439\) | −21.4891 | −1.02562 | −0.512810 | − | 0.858502i | \(-0.671395\pi\) | ||||
−0.512810 | + | 0.858502i | \(0.671395\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −11.8614 | −0.564829 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 31.6742 | 1.50489 | 0.752444 | − | 0.658656i | \(-0.228875\pi\) | ||||
0.752444 | + | 0.658656i | \(0.228875\pi\) | |||||||
\(444\) | 3.76631 | 0.178741 | ||||||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −6.00000 | −0.284108 | ||||||||
\(447\) | 9.10268 | 0.430542 | ||||||||
\(448\) | −8.21782 | −0.388256 | ||||||||
\(449\) | 6.86141 | 0.323810 | 0.161905 | − | 0.986806i | \(-0.448236\pi\) | ||||
0.161905 | + | 0.986806i | \(0.448236\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0 | 0 | ||||||||
\(452\) | 2.17448 | 0.102279 | ||||||||
\(453\) | 9.69259 | 0.455398 | ||||||||
\(454\) | −42.2337 | −1.98213 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 18.9783 | 0.888738 | ||||||||
\(457\) | −20.7846 | −0.972263 | −0.486132 | − | 0.873886i | \(-0.661592\pi\) | ||||
−0.486132 | + | 0.873886i | \(0.661592\pi\) | |||||||
\(458\) | −36.9253 | −1.72541 | ||||||||
\(459\) | −6.74456 | −0.314809 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −2.23369 | −0.104033 | −0.0520166 | − | 0.998646i | \(-0.516565\pi\) | ||||
−0.0520166 | + | 0.998646i | \(0.516565\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 30.0897 | 1.39839 | 0.699193 | − | 0.714933i | \(-0.253543\pi\) | ||||
0.699193 | + | 0.714933i | \(0.253543\pi\) | |||||||
\(464\) | −55.7228 | −2.58687 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 9.48913 | 0.439575 | ||||||||
\(467\) | 7.72049 | 0.357262 | 0.178631 | − | 0.983916i | \(-0.442833\pi\) | ||||
0.178631 | + | 0.983916i | \(0.442833\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −32.2337 | −1.48841 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 19.3723 | 0.892628 | ||||||||
\(472\) | 44.1485 | 2.03210 | ||||||||
\(473\) | 0 | 0 | ||||||||
\(474\) | 2.51087 | 0.115328 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 24.0000 | 1.10004 | ||||||||
\(477\) | 23.9538 | 1.09677 | ||||||||
\(478\) | −37.2203 | −1.70241 | ||||||||
\(479\) | 5.48913 | 0.250805 | 0.125402 | − | 0.992106i | \(-0.459978\pi\) | ||||
0.125402 | + | 0.992106i | \(0.459978\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0 | 0 | ||||||||
\(482\) | 42.2689 | 1.92530 | ||||||||
\(483\) | −2.17448 | −0.0989423 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −39.7228 | −1.80186 | ||||||||
\(487\) | 7.13058 | 0.323118 | 0.161559 | − | 0.986863i | \(-0.448348\pi\) | ||||
0.161559 | + | 0.986863i | \(0.448348\pi\) | |||||||
\(488\) | −4.45877 | −0.201839 | ||||||||
\(489\) | 2.74456 | 0.124113 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −6.51087 | −0.293832 | −0.146916 | − | 0.989149i | \(-0.546935\pi\) | ||||
−0.146916 | + | 0.989149i | \(0.546935\pi\) | |||||||
\(492\) | −30.2921 | −1.36567 | ||||||||
\(493\) | −13.8564 | −0.624061 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 21.4891 | 0.964890 | ||||||||
\(497\) | −35.0458 | −1.57202 | ||||||||
\(498\) | −13.2665 | −0.594486 | ||||||||
\(499\) | −20.0000 | −0.895323 | −0.447661 | − | 0.894203i | \(-0.647743\pi\) | ||||
−0.447661 | + | 0.894203i | \(0.647743\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −12.4674 | −0.557001 | ||||||||
\(502\) | 55.8304 | 2.49183 | ||||||||
\(503\) | 13.5615 | 0.604675 | 0.302338 | − | 0.953201i | \(-0.402233\pi\) | ||||
0.302338 | + | 0.953201i | \(0.402233\pi\) | |||||||
\(504\) | 49.2119 | 2.19207 | ||||||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −10.2997 | −0.457427 | ||||||||
\(508\) | −35.9306 | −1.59416 | ||||||||
\(509\) | 22.6277 | 1.00296 | 0.501478 | − | 0.865170i | \(-0.332790\pi\) | ||||
0.501478 | + | 0.865170i | \(0.332790\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −24.0000 | −1.06170 | ||||||||
\(512\) | 50.1369 | 2.21576 | ||||||||
\(513\) | 17.0256 | 0.751697 | ||||||||
\(514\) | 26.9783 | 1.18996 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 12.0000 | 0.528271 | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | −9.50744 | −0.417733 | ||||||||
\(519\) | −6.74456 | −0.296053 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −21.6060 | −0.946575 | −0.473287 | − | 0.880908i | \(-0.656933\pi\) | ||||
−0.473287 | + | 0.880908i | \(0.656933\pi\) | |||||||
\(522\) | −52.3663 | −2.29201 | ||||||||
\(523\) | 29.0024 | 1.26819 | 0.634094 | − | 0.773256i | \(-0.281373\pi\) | ||||
0.634094 | + | 0.773256i | \(0.281373\pi\) | |||||||
\(524\) | 12.0000 | 0.524222 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −69.2119 | −3.01778 | ||||||||
\(527\) | 5.34363 | 0.232772 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −22.3723 | −0.972708 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 17.4891 | 0.758963 | ||||||||
\(532\) | −60.5841 | −2.62665 | ||||||||
\(533\) | 0 | 0 | ||||||||
\(534\) | −2.74456 | −0.118769 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 55.7228 | 2.40686 | ||||||||
\(537\) | 10.1899 | 0.439728 | ||||||||
\(538\) | 29.0024 | 1.25038 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −34.2337 | −1.47182 | −0.735911 | − | 0.677079i | \(-0.763246\pi\) | ||||
−0.735911 | + | 0.677079i | \(0.763246\pi\) | |||||||
\(542\) | 34.0511 | 1.46262 | ||||||||
\(543\) | 19.1075 | 0.819980 | ||||||||
\(544\) | −6.51087 | −0.279151 | ||||||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −29.0024 | −1.24005 | −0.620027 | − | 0.784580i | \(-0.712878\pi\) | ||||
−0.620027 | + | 0.784580i | \(0.712878\pi\) | |||||||
\(548\) | −62.7586 | −2.68091 | ||||||||
\(549\) | −1.76631 | −0.0753844 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 34.9783 | 1.49012 | ||||||||
\(552\) | 3.75906 | 0.159996 | ||||||||
\(553\) | −4.34896 | −0.184937 | ||||||||
\(554\) | 29.4891 | 1.25287 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 70.9783 | 3.01015 | ||||||||
\(557\) | −0.994667 | −0.0421454 | −0.0210727 | − | 0.999778i | \(-0.506708\pi\) | ||||
−0.0210727 | + | 0.999778i | \(0.506708\pi\) | |||||||
\(558\) | 20.1947 | 0.854910 | ||||||||
\(559\) | 0 | 0 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −1.28962 | −0.0543994 | ||||||||
\(563\) | −18.9051 | −0.796754 | −0.398377 | − | 0.917222i | \(-0.630426\pi\) | ||||
−0.398377 | + | 0.917222i | \(0.630426\pi\) | |||||||
\(564\) | 22.9783 | 0.967559 | ||||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −38.2337 | −1.60708 | ||||||||
\(567\) | 12.9715 | 0.544754 | ||||||||
\(568\) | 60.5841 | 2.54205 | ||||||||
\(569\) | 27.2554 | 1.14261 | 0.571304 | − | 0.820739i | \(-0.306438\pi\) | ||||
0.571304 | + | 0.820739i | \(0.306438\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −1.48913 | −0.0623180 | −0.0311590 | − | 0.999514i | \(-0.509920\pi\) | ||||
−0.0311590 | + | 0.999514i | \(0.509920\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −15.3484 | −0.641189 | ||||||||
\(574\) | 76.4674 | 3.19169 | ||||||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 5.62772 | 0.234488 | ||||||||
\(577\) | −21.8719 | −0.910537 | −0.455269 | − | 0.890354i | \(-0.650457\pi\) | ||||
−0.455269 | + | 0.890354i | \(0.650457\pi\) | |||||||
\(578\) | 36.5754 | 1.52134 | ||||||||
\(579\) | −13.0217 | −0.541165 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 22.9783 | 0.953298 | ||||||||
\(582\) | 11.6819 | 0.484231 | ||||||||
\(583\) | 0 | 0 | ||||||||
\(584\) | 41.4891 | 1.71683 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −8.00000 | −0.330477 | ||||||||
\(587\) | 41.2743 | 1.70357 | 0.851786 | − | 0.523890i | \(-0.175520\pi\) | ||||
0.851786 | + | 0.523890i | \(0.175520\pi\) | |||||||
\(588\) | 17.3205 | 0.714286 | ||||||||
\(589\) | −13.4891 | −0.555810 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 6.74456 | 0.277434 | ||||||||
\(592\) | 6.92820 | 0.284747 | ||||||||
\(593\) | −22.7739 | −0.935214 | −0.467607 | − | 0.883937i | \(-0.654884\pi\) | ||||
−0.467607 | + | 0.883937i | \(0.654884\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 50.2337 | 2.05765 | ||||||||
\(597\) | −6.33830 | −0.259409 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 10.9783 | 0.448559 | 0.224280 | − | 0.974525i | \(-0.427997\pi\) | ||||
0.224280 | + | 0.974525i | \(0.427997\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 38.4674 | 1.56912 | 0.784558 | − | 0.620055i | \(-0.212890\pi\) | ||||
0.784558 | + | 0.620055i | \(0.212890\pi\) | |||||||
\(602\) | −30.2921 | −1.23461 | ||||||||
\(603\) | 22.0742 | 0.898932 | ||||||||
\(604\) | 53.4891 | 2.17644 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 12.0000 | 0.487467 | ||||||||
\(607\) | 3.46410 | 0.140604 | 0.0703018 | − | 0.997526i | \(-0.477604\pi\) | ||||
0.0703018 | + | 0.997526i | \(0.477604\pi\) | |||||||
\(608\) | 16.4356 | 0.666554 | ||||||||
\(609\) | −24.0000 | −0.972529 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 0 | 0 | ||||||||
\(612\) | −16.4356 | −0.664372 | ||||||||
\(613\) | −4.34896 | −0.175653 | −0.0878265 | − | 0.996136i | \(-0.527992\pi\) | ||||
−0.0878265 | + | 0.996136i | \(0.527992\pi\) | |||||||
\(614\) | −79.7228 | −3.21735 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 17.0256 | 0.685423 | 0.342712 | − | 0.939441i | \(-0.388655\pi\) | ||||
0.342712 | + | 0.939441i | \(0.388655\pi\) | |||||||
\(618\) | −20.7846 | −0.836080 | ||||||||
\(619\) | 14.1168 | 0.567404 | 0.283702 | − | 0.958913i | \(-0.408437\pi\) | ||||
0.283702 | + | 0.958913i | \(0.408437\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 3.37228 | 0.135325 | ||||||||
\(622\) | −13.8564 | −0.555591 | ||||||||
\(623\) | 4.75372 | 0.190454 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −55.2119 | −2.20671 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 106.907 | 4.26606 | ||||||||
\(629\) | 1.72281 | 0.0686931 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 23.6060 | 0.939739 | 0.469869 | − | 0.882736i | \(-0.344301\pi\) | ||||
0.469869 | + | 0.882736i | \(0.344301\pi\) | |||||||
\(632\) | 7.51811 | 0.299054 | ||||||||
\(633\) | −1.17981 | −0.0468934 | ||||||||
\(634\) | 83.2119 | 3.30477 | ||||||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −34.9783 | −1.38698 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 24.0000 | 0.949425 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −25.3723 | −1.00214 | −0.501072 | − | 0.865405i | \(-0.667061\pi\) | ||||
−0.501072 | + | 0.865405i | \(0.667061\pi\) | |||||||
\(642\) | 13.2665 | 0.523587 | ||||||||
\(643\) | 30.4944 | 1.20258 | 0.601292 | − | 0.799030i | \(-0.294653\pi\) | ||||
0.601292 | + | 0.799030i | \(0.294653\pi\) | |||||||
\(644\) | −12.0000 | −0.472866 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 16.0000 | 0.629512 | ||||||||
\(647\) | 21.9817 | 0.864188 | 0.432094 | − | 0.901829i | \(-0.357775\pi\) | ||||
0.432094 | + | 0.901829i | \(0.357775\pi\) | |||||||
\(648\) | −22.4241 | −0.880901 | ||||||||
\(649\) | 0 | 0 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 9.25544 | 0.362749 | ||||||||
\(652\) | 15.1460 | 0.593164 | ||||||||
\(653\) | 30.7894 | 1.20488 | 0.602441 | − | 0.798163i | \(-0.294195\pi\) | ||||
0.602441 | + | 0.798163i | \(0.294195\pi\) | |||||||
\(654\) | 20.0000 | 0.782062 | ||||||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −55.7228 | −2.17561 | ||||||||
\(657\) | 16.4356 | 0.641216 | ||||||||
\(658\) | −58.0049 | −2.26127 | ||||||||
\(659\) | −21.2554 | −0.827994 | −0.413997 | − | 0.910278i | \(-0.635868\pi\) | ||||
−0.413997 | + | 0.910278i | \(0.635868\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −16.3505 | −0.635962 | −0.317981 | − | 0.948097i | \(-0.603005\pi\) | ||||
−0.317981 | + | 0.948097i | \(0.603005\pi\) | |||||||
\(662\) | 35.6357 | 1.38502 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −39.7228 | −1.54154 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 6.51087 | 0.252291 | ||||||||
\(667\) | 6.92820 | 0.268261 | ||||||||
\(668\) | −68.8019 | −2.66203 | ||||||||
\(669\) | 1.88316 | 0.0728070 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 0 | 0 | ||||||||
\(672\) | −11.2772 | −0.435026 | ||||||||
\(673\) | 18.6101 | 0.717368 | 0.358684 | − | 0.933459i | \(-0.383226\pi\) | ||||
0.358684 | + | 0.933459i | \(0.383226\pi\) | |||||||
\(674\) | 81.9565 | 3.15685 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −56.8397 | −2.18614 | ||||||||
\(677\) | 50.0820 | 1.92481 | 0.962404 | − | 0.271623i | \(-0.0875604\pi\) | ||||
0.962404 | + | 0.271623i | \(0.0875604\pi\) | |||||||
\(678\) | −0.994667 | −0.0381999 | ||||||||
\(679\) | −20.2337 | −0.776498 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 13.2554 | 0.507949 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −17.9104 | −0.685323 | −0.342661 | − | 0.939459i | \(-0.611328\pi\) | ||||
−0.342661 | + | 0.939459i | \(0.611328\pi\) | |||||||
\(684\) | 41.4891 | 1.58638 | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 17.4891 | 0.667738 | ||||||||
\(687\) | 11.5894 | 0.442161 | ||||||||
\(688\) | 22.0742 | 0.841572 | ||||||||
\(689\) | 0 | 0 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 44.8614 | 1.70661 | 0.853304 | − | 0.521413i | \(-0.174595\pi\) | ||||
0.853304 | + | 0.521413i | \(0.174595\pi\) | |||||||
\(692\) | −37.2203 | −1.41490 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 57.2119 | 2.17174 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 41.4891 | 1.57264 | ||||||||
\(697\) | −13.8564 | −0.524849 | ||||||||
\(698\) | 39.0998 | 1.47995 | ||||||||
\(699\) | −2.97825 | −0.112648 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 12.5109 | 0.472529 | 0.236265 | − | 0.971689i | \(-0.424077\pi\) | ||||
0.236265 | + | 0.971689i | \(0.424077\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −4.34896 | −0.164024 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 63.2119 | 2.37901 | ||||||||
\(707\) | −20.7846 | −0.781686 | ||||||||
\(708\) | −25.5383 | −0.959789 | ||||||||
\(709\) | 23.8832 | 0.896951 | 0.448475 | − | 0.893795i | \(-0.351967\pi\) | ||||
0.448475 | + | 0.893795i | \(0.351967\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 2.97825 | 0.111693 | ||||||||
\(712\) | −8.21782 | −0.307976 | ||||||||
\(713\) | −2.67181 | −0.100060 | ||||||||
\(714\) | −10.9783 | −0.410851 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 56.2337 | 2.10155 | ||||||||
\(717\) | 11.6819 | 0.436269 | ||||||||
\(718\) | 74.4405 | 2.77810 | ||||||||
\(719\) | −30.3505 | −1.13188 | −0.565942 | − | 0.824445i | \(-0.691487\pi\) | ||||
−0.565942 | + | 0.824445i | \(0.691487\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 36.0000 | 1.34071 | ||||||||
\(722\) | 7.57301 | 0.281838 | ||||||||
\(723\) | −13.2665 | −0.493386 | ||||||||
\(724\) | 105.446 | 3.91886 | ||||||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −14.0588 | −0.521412 | −0.260706 | − | 0.965418i | \(-0.583955\pi\) | ||||
−0.260706 | + | 0.965418i | \(0.583955\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 1.23369 | 0.0456921 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 5.48913 | 0.203023 | ||||||||
\(732\) | 2.57924 | 0.0953315 | ||||||||
\(733\) | −9.50744 | −0.351165 | −0.175583 | − | 0.984465i | \(-0.556181\pi\) | ||||
−0.175583 | + | 0.984465i | \(0.556181\pi\) | |||||||
\(734\) | 64.9783 | 2.39839 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 3.25544 | 0.119997 | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | −52.3663 | −1.92763 | ||||||||
\(739\) | 10.7446 | 0.395245 | 0.197623 | − | 0.980278i | \(-0.436678\pi\) | ||||
0.197623 | + | 0.980278i | \(0.436678\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 88.2969 | 3.24148 | ||||||||
\(743\) | 11.3870 | 0.417747 | 0.208874 | − | 0.977943i | \(-0.433020\pi\) | ||||
0.208874 | + | 0.977943i | \(0.433020\pi\) | |||||||
\(744\) | −16.0000 | −0.586588 | ||||||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 29.4891 | 1.07967 | ||||||||
\(747\) | −15.7359 | −0.575748 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −22.9783 | −0.839607 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 27.3723 | 0.998829 | 0.499414 | − | 0.866363i | \(-0.333549\pi\) | ||||
0.499414 | + | 0.866363i | \(0.333549\pi\) | |||||||
\(752\) | 42.2689 | 1.54139 | ||||||||
\(753\) | −17.5229 | −0.638570 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −64.4674 | −2.34466 | ||||||||
\(757\) | −39.7995 | −1.44654 | −0.723269 | − | 0.690567i | \(-0.757361\pi\) | ||||
−0.723269 | + | 0.690567i | \(0.757361\pi\) | |||||||
\(758\) | 1.58457 | 0.0575543 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −32.7446 | −1.18699 | −0.593495 | − | 0.804838i | \(-0.702252\pi\) | ||||
−0.593495 | + | 0.804838i | \(0.702252\pi\) | |||||||
\(762\) | 16.4356 | 0.595401 | ||||||||
\(763\) | −34.6410 | −1.25409 | ||||||||
\(764\) | −84.7011 | −3.06438 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −27.4891 | −0.993222 | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | −24.6535 | −0.889605 | ||||||||
\(769\) | −29.2119 | −1.05341 | −0.526705 | − | 0.850048i | \(-0.676573\pi\) | ||||
−0.526705 | + | 0.850048i | \(0.676573\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −8.46738 | −0.304945 | ||||||||
\(772\) | −71.8613 | −2.58634 | ||||||||
\(773\) | 17.6155 | 0.633584 | 0.316792 | − | 0.948495i | \(-0.397394\pi\) | ||||
0.316792 | + | 0.948495i | \(0.397394\pi\) | |||||||
\(774\) | 20.7446 | 0.745648 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 34.9783 | 1.25565 | ||||||||
\(777\) | 2.98400 | 0.107050 | ||||||||
\(778\) | −47.6126 | −1.70699 | ||||||||
\(779\) | 34.9783 | 1.25323 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0 | 0 | ||||||||
\(782\) | 3.16915 | 0.113328 | ||||||||
\(783\) | 37.2203 | 1.33014 | ||||||||
\(784\) | 31.8614 | 1.13791 | ||||||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −5.48913 | −0.195791 | ||||||||
\(787\) | −15.1460 | −0.539898 | −0.269949 | − | 0.962875i | \(-0.587007\pi\) | ||||
−0.269949 | + | 0.962875i | \(0.587007\pi\) | |||||||
\(788\) | 37.2203 | 1.32592 | ||||||||
\(789\) | 21.7228 | 0.773353 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 1.72281 | 0.0612562 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 0 | 0 | ||||||||
\(794\) | −41.4891 | −1.47239 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −34.9783 | −1.23977 | ||||||||
\(797\) | −5.25106 | −0.186002 | −0.0930010 | − | 0.995666i | \(-0.529646\pi\) | ||||
−0.0930010 | + | 0.995666i | \(0.529646\pi\) | |||||||
\(798\) | 27.7128 | 0.981023 | ||||||||
\(799\) | 10.5109 | 0.371848 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −3.25544 | −0.115025 | ||||||||
\(802\) | 29.0024 | 1.02411 | ||||||||
\(803\) | 0 | 0 | ||||||||
\(804\) | −32.2337 | −1.13679 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −9.10268 | −0.320430 | ||||||||
\(808\) | 35.9306 | 1.26404 | ||||||||
\(809\) | 32.7446 | 1.15124 | 0.575619 | − | 0.817718i | \(-0.304761\pi\) | ||||
0.575619 | + | 0.817718i | \(0.304761\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 0.233688 | 0.00820589 | 0.00410295 | − | 0.999992i | \(-0.498694\pi\) | ||||
0.00410295 | + | 0.999992i | \(0.498694\pi\) | |||||||
\(812\) | −132.445 | −4.64792 | ||||||||
\(813\) | −10.6873 | −0.374819 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 8.00000 | 0.280056 | ||||||||
\(817\) | −13.8564 | −0.484774 | ||||||||
\(818\) | 69.3918 | 2.42623 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 18.0000 | 0.628204 | 0.314102 | − | 0.949389i | \(-0.398297\pi\) | ||||
0.314102 | + | 0.949389i | \(0.398297\pi\) | |||||||
\(822\) | 28.7075 | 1.00129 | ||||||||
\(823\) | −56.0328 | −1.95318 | −0.976590 | − | 0.215111i | \(-0.930989\pi\) | ||||
−0.976590 | + | 0.215111i | \(0.930989\pi\) | |||||||
\(824\) | −62.2337 | −2.16801 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 64.4674 | 2.24311 | ||||||||
\(827\) | 28.4125 | 0.988000 | 0.494000 | − | 0.869462i | \(-0.335534\pi\) | ||||
0.494000 | + | 0.869462i | \(0.335534\pi\) | |||||||
\(828\) | 8.21782 | 0.285589 | ||||||||
\(829\) | −20.3505 | −0.706803 | −0.353402 | − | 0.935472i | \(-0.614975\pi\) | ||||
−0.353402 | + | 0.935472i | \(0.614975\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −9.25544 | −0.321068 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 7.92287 | 0.274511 | ||||||||
\(834\) | −32.4674 | −1.12425 | ||||||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −14.3537 | −0.496138 | ||||||||
\(838\) | 58.0049 | 2.00374 | ||||||||
\(839\) | −10.1168 | −0.349272 | −0.174636 | − | 0.984633i | \(-0.555875\pi\) | ||||
−0.174636 | + | 0.984633i | \(0.555875\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 47.4674 | 1.63681 | ||||||||
\(842\) | −21.4843 | −0.740399 | ||||||||
\(843\) | 0.404759 | 0.0139407 | ||||||||
\(844\) | −6.51087 | −0.224114 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 39.7228 | 1.36570 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −64.3432 | −2.20955 | ||||||||
\(849\) | 12.0000 | 0.411839 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −0.861407 | −0.0295286 | ||||||||
\(852\) | −35.0458 | −1.20065 | ||||||||
\(853\) | 35.0458 | 1.19994 | 0.599972 | − | 0.800021i | \(-0.295178\pi\) | ||||
0.599972 | + | 0.800021i | \(0.295178\pi\) | |||||||
\(854\) | −6.51087 | −0.222798 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 39.7228 | 1.35770 | ||||||||
\(857\) | −23.9538 | −0.818245 | −0.409122 | − | 0.912480i | \(-0.634165\pi\) | ||||
−0.409122 | + | 0.912480i | \(0.634165\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −6.11684 | −0.208704 | −0.104352 | − | 0.994540i | \(-0.533277\pi\) | ||||
−0.104352 | + | 0.994540i | \(0.533277\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −24.0000 | −0.817918 | ||||||||
\(862\) | −64.9331 | −2.21163 | ||||||||
\(863\) | 2.87419 | 0.0978387 | 0.0489194 | − | 0.998803i | \(-0.484422\pi\) | ||||
0.0489194 | + | 0.998803i | \(0.484422\pi\) | |||||||
\(864\) | 17.4891 | 0.594992 | ||||||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 73.7228 | 2.50520 | ||||||||
\(867\) | −11.4795 | −0.389866 | ||||||||
\(868\) | 51.0767 | 1.73365 | ||||||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0 | 0 | ||||||||
\(872\) | 59.8844 | 2.02794 | ||||||||
\(873\) | 13.8564 | 0.468968 | ||||||||
\(874\) | −8.00000 | −0.270604 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −24.0000 | −0.810885 | ||||||||
\(877\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(878\) | 54.2458 | 1.83071 | ||||||||
\(879\) | 2.51087 | 0.0846897 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −6.86141 | −0.231167 | −0.115583 | − | 0.993298i | \(-0.536874\pi\) | ||||
−0.115583 | + | 0.993298i | \(0.536874\pi\) | |||||||
\(882\) | 29.9422 | 1.00821 | ||||||||
\(883\) | −24.2487 | −0.816034 | −0.408017 | − | 0.912974i | \(-0.633780\pi\) | ||||
−0.408017 | + | 0.912974i | \(0.633780\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −79.9565 | −2.68619 | ||||||||
\(887\) | −27.4179 | −0.920602 | −0.460301 | − | 0.887763i | \(-0.652258\pi\) | ||||
−0.460301 | + | 0.887763i | \(0.652258\pi\) | |||||||
\(888\) | −5.15848 | −0.173107 | ||||||||
\(889\) | −28.4674 | −0.954765 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 10.3923 | 0.347960 | ||||||||
\(893\) | −26.5330 | −0.887893 | ||||||||
\(894\) | −22.9783 | −0.768508 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 49.2119 | 1.64406 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −17.3205 | −0.577993 | ||||||||
\(899\) | −29.4891 | −0.983517 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −16.0000 | −0.533037 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 9.50744 | 0.316388 | ||||||||
\(904\) | −2.97825 | −0.0990551 | ||||||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −24.4674 | −0.812874 | ||||||||
\(907\) | 19.8997 | 0.660760 | 0.330380 | − | 0.943848i | \(-0.392823\pi\) | ||||
0.330380 | + | 0.943848i | \(0.392823\pi\) | |||||||
\(908\) | 73.1509 | 2.42760 | ||||||||
\(909\) | 14.2337 | 0.472102 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −53.4891 | −1.77217 | −0.886087 | − | 0.463519i | \(-0.846587\pi\) | ||||
−0.886087 | + | 0.463519i | \(0.846587\pi\) | |||||||
\(912\) | −20.1947 | −0.668713 | ||||||||
\(913\) | 0 | 0 | ||||||||
\(914\) | 52.4674 | 1.73547 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 63.9565 | 2.11318 | ||||||||
\(917\) | 9.50744 | 0.313963 | ||||||||
\(918\) | 17.0256 | 0.561927 | ||||||||
\(919\) | 28.2337 | 0.931343 | 0.465672 | − | 0.884958i | \(-0.345813\pi\) | ||||
0.465672 | + | 0.884958i | \(0.345813\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 25.0217 | 0.824495 | ||||||||
\(922\) | 5.63858 | 0.185697 | ||||||||
\(923\) | 0 | 0 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0 | 0 | ||||||||
\(926\) | −75.9565 | −2.49609 | ||||||||
\(927\) | −24.6535 | −0.809726 | ||||||||
\(928\) | 35.9306 | 1.17948 | ||||||||
\(929\) | −7.02175 | −0.230376 | −0.115188 | − | 0.993344i | \(-0.536747\pi\) | ||||
−0.115188 | + | 0.993344i | \(0.536747\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −20.0000 | −0.655474 | ||||||||
\(932\) | −16.4356 | −0.538368 | ||||||||
\(933\) | 4.34896 | 0.142379 | ||||||||
\(934\) | −19.4891 | −0.637704 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 53.6559 | 1.75286 | 0.876431 | − | 0.481527i | \(-0.159918\pi\) | ||||
0.876431 | + | 0.481527i | \(0.159918\pi\) | |||||||
\(938\) | 81.3687 | 2.65678 | ||||||||
\(939\) | 17.3288 | 0.565503 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 58.4674 | 1.90598 | 0.952991 | − | 0.302999i | \(-0.0979878\pi\) | ||||
0.952991 | + | 0.302999i | \(0.0979878\pi\) | |||||||
\(942\) | −48.9022 | −1.59332 | ||||||||
\(943\) | 6.92820 | 0.225613 | ||||||||
\(944\) | −46.9783 | −1.52901 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 26.7354 | 0.868783 | 0.434392 | − | 0.900724i | \(-0.356963\pi\) | ||||
0.434392 | + | 0.900724i | \(0.356963\pi\) | |||||||
\(948\) | −4.34896 | −0.141248 | ||||||||
\(949\) | 0 | 0 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −26.1168 | −0.846897 | ||||||||
\(952\) | −32.8713 | −1.06536 | ||||||||
\(953\) | 31.2867 | 1.01348 | 0.506738 | − | 0.862100i | \(-0.330851\pi\) | ||||
0.506738 | + | 0.862100i | \(0.330851\pi\) | |||||||
\(954\) | −60.4674 | −1.95770 | ||||||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 64.4674 | 2.08502 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −13.8564 | −0.447680 | ||||||||
\(959\) | −49.7228 | −1.60563 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −19.6277 | −0.633152 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 15.7359 | 0.507083 | ||||||||
\(964\) | −73.2119 | −2.35800 | ||||||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 5.48913 | 0.176610 | ||||||||
\(967\) | −26.4232 | −0.849713 | −0.424856 | − | 0.905261i | \(-0.639675\pi\) | ||||
−0.424856 | + | 0.905261i | \(0.639675\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −5.02175 | −0.161322 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −9.09509 | −0.291875 | −0.145938 | − | 0.989294i | \(-0.546620\pi\) | ||||
−0.145938 | + | 0.989294i | \(0.546620\pi\) | |||||||
\(972\) | 68.8019 | 2.20682 | ||||||||
\(973\) | 56.2351 | 1.80282 | ||||||||
\(974\) | −18.0000 | −0.576757 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 4.74456 | 0.151870 | ||||||||
\(977\) | 50.5793 | 1.61818 | 0.809088 | − | 0.587687i | \(-0.199962\pi\) | ||||
0.809088 | + | 0.587687i | \(0.199962\pi\) | |||||||
\(978\) | −6.92820 | −0.221540 | ||||||||
\(979\) | 0 | 0 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 23.7228 | 0.757411 | ||||||||
\(982\) | 16.4356 | 0.524483 | ||||||||
\(983\) | 24.7460 | 0.789276 | 0.394638 | − | 0.918837i | \(-0.370870\pi\) | ||||
0.394638 | + | 0.918837i | \(0.370870\pi\) | |||||||
\(984\) | 41.4891 | 1.32263 | ||||||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 34.9783 | 1.11393 | ||||||||
\(987\) | 18.2054 | 0.579483 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −2.74456 | −0.0872720 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 18.9783 | 0.602864 | 0.301432 | − | 0.953488i | \(-0.402535\pi\) | ||||
0.301432 | + | 0.953488i | \(0.402535\pi\) | |||||||
\(992\) | −13.8564 | −0.439941 | ||||||||
\(993\) | −11.1846 | −0.354932 | ||||||||
\(994\) | 88.4674 | 2.80601 | ||||||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 22.9783 | 0.728094 | ||||||||
\(997\) | 2.17448 | 0.0688665 | 0.0344333 | − | 0.999407i | \(-0.489037\pi\) | ||||
0.0344333 | + | 0.999407i | \(0.489037\pi\) | |||||||
\(998\) | 50.4868 | 1.59813 | ||||||||
\(999\) | −4.62772 | −0.146415 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))