Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [4400,2,Mod(1,4400)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(4400, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 0, 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("4400.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 4400 = 2^{4} \cdot 5^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 4400.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: | \(35.1341768894\) |
Analytic rank: | \(0\) |
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: | \( 2 \) |
Twist minimal: | no (minimal twist has level 55) |
Fricke sign: | \(-1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.2 | ||
Root | \(-0.792287\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 4400.1 |
$q$-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 | 0 | ||||||||
\(3\) | −0.792287 | −0.457427 | −0.228714 | − | 0.973494i | \(-0.573452\pi\) | ||||
−0.228714 | + | 0.973494i | \(0.573452\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 3.46410 | 1.30931 | 0.654654 | − | 0.755929i | \(-0.272814\pi\) | ||||
0.654654 | + | 0.755929i | \(0.272814\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −2.37228 | −0.790760 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 1.00000 | 0.301511 | ||||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −1.58457 | −0.384316 | −0.192158 | − | 0.981364i | \(-0.561549\pi\) | ||||
−0.192158 | + | 0.981364i | \(0.561549\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −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 | \(-0.473677\pi\) | ||||
0.0826016 | + | 0.996583i | \(0.473677\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 4.25639 | 0.819142 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 8.74456 | 1.62382 | 0.811912 | − | 0.583779i | \(-0.198427\pi\) | ||||
0.811912 | + | 0.583779i | \(0.198427\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.37228 | −0.605680 | −0.302840 | − | 0.953041i | \(-0.597935\pi\) | ||||
−0.302840 | + | 0.953041i | \(0.597935\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −0.792287 | −0.137919 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.08724 | 0.178741 | 0.0893706 | − | 0.995998i | \(-0.471514\pi\) | ||||
0.0893706 | + | 0.995998i | \(0.471514\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 8.74456 | 1.36567 | 0.682836 | − | 0.730572i | \(-0.260747\pi\) | ||||
0.682836 | + | 0.730572i | \(0.260747\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 3.46410 | 0.528271 | 0.264135 | − | 0.964486i | \(-0.414913\pi\) | ||||
0.264135 | + | 0.964486i | \(0.414913\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −6.63325 | −0.967559 | −0.483779 | − | 0.875190i | \(-0.660736\pi\) | ||||
−0.483779 | + | 0.875190i | \(0.660736\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 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 | \(0.743927\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 3.16915 | 0.419764 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 7.37228 | 0.959789 | 0.479895 | − | 0.877326i | \(-0.340675\pi\) | ||||
0.479895 | + | 0.877326i | \(0.340675\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.744563 | −0.0953315 | −0.0476657 | − | 0.998863i | \(-0.515178\pi\) | ||||
−0.0476657 | + | 0.998863i | \(0.515178\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −8.21782 | −1.03535 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 9.30506 | 1.13679 | 0.568397 | − | 0.822754i | \(-0.307564\pi\) | ||||
0.568397 | + | 0.822754i | \(0.307564\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −0.627719 | −0.0755684 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 10.1168 | 1.20065 | 0.600324 | − | 0.799757i | \(-0.295038\pi\) | ||||
0.600324 | + | 0.799757i | \(0.295038\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 6.92820 | 0.810885 | 0.405442 | − | 0.914121i | \(-0.367117\pi\) | ||||
0.405442 | + | 0.914121i | \(0.367117\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 3.46410 | 0.394771 | ||||||||
\(78\) | 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 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 6.63325 | 0.728094 | 0.364047 | − | 0.931381i | \(-0.381395\pi\) | ||||
0.364047 | + | 0.931381i | \(0.381395\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −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 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 2.67181 | 0.277054 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −5.84096 | −0.593060 | −0.296530 | − | 0.955024i | \(-0.595829\pi\) | ||||
−0.296530 | + | 0.955024i | \(0.595829\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −2.37228 | −0.238423 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 6.00000 | 0.597022 | 0.298511 | − | 0.954406i | \(-0.403510\pi\) | ||||
0.298511 | + | 0.954406i | \(0.403510\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −10.3923 | −1.02398 | −0.511992 | − | 0.858990i | \(-0.671092\pi\) | ||||
−0.511992 | + | 0.858990i | \(0.671092\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −6.63325 | −0.641260 | −0.320630 | − | 0.947204i | \(-0.603895\pi\) | ||||
−0.320630 | + | 0.947204i | \(0.603895\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 10.0000 | 0.957826 | 0.478913 | − | 0.877862i | \(-0.341031\pi\) | ||||
0.478913 | + | 0.877862i | \(0.341031\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −0.861407 | −0.0817611 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 0.497333 | 0.0467852 | 0.0233926 | − | 0.999726i | \(-0.492553\pi\) | ||||
0.0233926 | + | 0.999726i | \(0.492553\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −5.48913 | −0.503187 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.00000 | 0.0909091 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −6.92820 | −0.624695 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −8.21782 | −0.729214 | −0.364607 | − | 0.931162i | \(-0.618797\pi\) | ||||
−0.364607 | + | 0.931162i | \(0.618797\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −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 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −14.3537 | −1.22632 | −0.613161 | − | 0.789958i | \(-0.710102\pi\) | ||||
−0.613161 | + | 0.789958i | \(0.710102\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 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 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −3.96143 | −0.326734 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −11.4891 | −0.941226 | −0.470613 | − | 0.882340i | \(-0.655967\pi\) | ||||
−0.470613 | + | 0.882340i | \(0.655967\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 12.2337 | 0.995563 | 0.497782 | − | 0.867302i | \(-0.334148\pi\) | ||||
0.497782 | + | 0.867302i | \(0.334148\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 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 | \(0.0703087\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 8.00000 | 0.634441 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 2.74456 | 0.216302 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −3.46410 | −0.271329 | −0.135665 | − | 0.990755i | \(-0.543317\pi\) | ||||
−0.135665 | + | 0.990755i | \(0.543317\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −15.7359 | −1.21768 | −0.608842 | − | 0.793292i | \(-0.708365\pi\) | ||||
−0.608842 | + | 0.793292i | \(0.708365\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −13.0000 | −1.00000 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 9.48913 | 0.725652 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 8.51278 | 0.647214 | 0.323607 | − | 0.946192i | \(-0.395104\pi\) | ||||
0.323607 | + | 0.946192i | \(0.395104\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −5.84096 | −0.439034 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −12.8614 | −0.961307 | −0.480653 | − | 0.876911i | \(-0.659600\pi\) | ||||
−0.480653 | + | 0.876911i | \(0.659600\pi\) | |||||||
\(180\) | 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 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −1.58457 | −0.115876 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 14.7446 | 1.07251 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 19.3723 | 1.40173 | 0.700865 | − | 0.713294i | \(-0.252798\pi\) | ||||
0.700865 | + | 0.713294i | \(0.252798\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 16.4356 | 1.18306 | 0.591532 | − | 0.806282i | \(-0.298523\pi\) | ||||
0.591532 | + | 0.806282i | \(0.298523\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −8.51278 | −0.606510 | −0.303255 | − | 0.952909i | \(-0.598073\pi\) | ||||
−0.303255 | + | 0.952909i | \(0.598073\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 8.00000 | 0.567105 | 0.283552 | − | 0.958957i | \(-0.408487\pi\) | ||||
0.283552 | + | 0.958957i | \(0.408487\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −7.37228 | −0.520001 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 30.2921 | 2.12609 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −1.87953 | −0.130636 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −4.00000 | −0.276686 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −1.48913 | −0.102516 | −0.0512578 | − | 0.998685i | \(-0.516323\pi\) | ||||
−0.0512578 | + | 0.998685i | \(0.516323\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −8.01544 | −0.549209 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −11.6819 | −0.793021 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −5.48913 | −0.370921 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 0 | 0 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −2.37686 | −0.159166 | −0.0795832 | − | 0.996828i | \(-0.525359\pi\) | ||||
−0.0795832 | + | 0.996828i | \(0.525359\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 16.7306 | 1.11045 | 0.555224 | − | 0.831701i | \(-0.312632\pi\) | ||||
0.555224 | + | 0.831701i | \(0.312632\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 14.6277 | 0.966627 | 0.483313 | − | 0.875447i | \(-0.339433\pi\) | ||||
0.483313 | + | 0.875447i | \(0.339433\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −2.74456 | −0.180579 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 3.75906 | 0.246264 | 0.123132 | − | 0.992390i | \(-0.460706\pi\) | ||||
0.123132 | + | 0.992390i | \(0.460706\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 0.994667 | 0.0646105 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 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 | \(-0.318687\pi\) | ||||
0.539306 | + | 0.842110i | \(0.318687\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −15.7359 | −1.00946 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −5.25544 | −0.333050 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 22.1168 | 1.39600 | 0.698001 | − | 0.716096i | \(-0.254073\pi\) | ||||
0.698001 | + | 0.716096i | \(0.254073\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.792287 | 0.0498107 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −10.6873 | −0.666653 | −0.333326 | − | 0.942811i | \(-0.608171\pi\) | ||||
−0.333326 | + | 0.942811i | \(0.608171\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 3.76631 | 0.234027 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −20.7446 | −1.28406 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 27.4179 | 1.69066 | 0.845329 | − | 0.534246i | \(-0.179405\pi\) | ||||
0.845329 | + | 0.534246i | \(0.179405\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −1.08724 | −0.0665380 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −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 | \(0.634368\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 11.6819 | 0.701899 | 0.350949 | − | 0.936394i | \(-0.385859\pi\) | ||||
0.350949 | + | 0.936394i | \(0.385859\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 8.00000 | 0.478947 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −0.510875 | −0.0304762 | −0.0152381 | − | 0.999884i | \(-0.504851\pi\) | ||||
−0.0152381 | + | 0.999884i | \(0.504851\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 15.1460 | 0.900338 | 0.450169 | − | 0.892943i | \(-0.351364\pi\) | ||||
0.450169 | + | 0.892943i | \(0.351364\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 30.2921 | 1.78808 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −14.4891 | −0.852301 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 4.62772 | 0.271282 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −3.16915 | −0.185144 | −0.0925718 | − | 0.995706i | \(-0.529509\pi\) | ||||
−0.0925718 | + | 0.995706i | \(0.529509\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 4.25639 | 0.246981 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 0 | 0 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 12.0000 | 0.691669 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −4.75372 | −0.273094 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 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 | \(-0.549741\pi\) | ||||
−0.155630 | + | 0.987815i | \(0.549741\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 21.8719 | 1.23627 | 0.618135 | − | 0.786072i | \(-0.287888\pi\) | ||||
0.618135 | + | 0.786072i | \(0.287888\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −32.9639 | −1.85144 | −0.925718 | − | 0.378215i | \(-0.876538\pi\) | ||||
−0.925718 | + | 0.378215i | \(0.876538\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 8.74456 | 0.489602 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 5.25544 | 0.293330 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 6.33830 | 0.352672 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −7.92287 | −0.438136 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −22.9783 | −1.26683 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 14.1168 | 0.775932 | 0.387966 | − | 0.921674i | \(-0.373178\pi\) | ||||
0.387966 | + | 0.921674i | \(0.373178\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −2.57924 | −0.141342 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 32.4665 | 1.76856 | 0.884282 | − | 0.466952i | \(-0.154648\pi\) | ||||
0.884282 | + | 0.466952i | \(0.154648\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −0.394031 | −0.0214008 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −3.37228 | −0.182619 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −6.92820 | −0.374088 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −22.6641 | −1.21667 | −0.608337 | − | 0.793679i | \(-0.708163\pi\) | ||||
−0.608337 | + | 0.793679i | \(0.708163\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 15.4891 | 0.829114 | 0.414557 | − | 0.910023i | \(-0.363937\pi\) | ||||
0.414557 | + | 0.910023i | \(0.363937\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −25.0410 | −1.33280 | −0.666399 | − | 0.745595i | \(-0.732165\pi\) | ||||
−0.666399 | + | 0.745595i | \(0.732165\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 4.34896 | 0.230172 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −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 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −0.792287 | −0.0415843 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 25.7407 | 1.34365 | 0.671827 | − | 0.740708i | \(-0.265510\pi\) | ||||
0.671827 | + | 0.740708i | \(0.265510\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −20.7446 | −1.07992 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −34.9783 | −1.81598 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 11.6819 | 0.604867 | 0.302434 | − | 0.953170i | \(-0.402201\pi\) | ||||
0.302434 | + | 0.953170i | \(0.402201\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 0.627719 | 0.0322437 | 0.0161219 | − | 0.999870i | \(-0.494868\pi\) | ||||
0.0161219 | + | 0.999870i | \(0.494868\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 6.51087 | 0.333562 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −10.8896 | −0.556435 | −0.278217 | − | 0.960518i | \(-0.589744\pi\) | ||||
−0.278217 | + | 0.960518i | \(0.589744\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −8.21782 | −0.417735 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 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 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −2.17448 | −0.109688 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 16.4356 | 0.824881 | 0.412441 | − | 0.910984i | \(-0.364676\pi\) | ||||
0.412441 | + | 0.910984i | \(0.364676\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 10.9783 | 0.549600 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −11.4891 | −0.573740 | −0.286870 | − | 0.957970i | \(-0.592615\pi\) | ||||
−0.286870 | + | 0.957970i | \(0.592615\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 1.08724 | 0.0538925 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 27.4891 | 1.35925 | 0.679625 | − | 0.733560i | \(-0.262143\pi\) | ||||
0.679625 | + | 0.733560i | \(0.262143\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 11.3723 | 0.560953 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 25.5383 | 1.25666 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −12.8617 | −0.629842 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 22.9783 | 1.12256 | 0.561280 | − | 0.827626i | \(-0.310309\pi\) | ||||
0.561280 | + | 0.827626i | \(0.310309\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 8.51087 | 0.414795 | 0.207397 | − | 0.978257i | \(-0.433501\pi\) | ||||
0.207397 | + | 0.978257i | \(0.433501\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 15.7359 | 0.765107 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −2.57924 | −0.124818 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 25.7228 | 1.23902 | 0.619512 | − | 0.784987i | \(-0.287330\pi\) | ||||
0.619512 | + | 0.784987i | \(0.287330\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −29.2048 | −1.40349 | −0.701747 | − | 0.712426i | \(-0.747596\pi\) | ||||
−0.701747 | + | 0.712426i | \(0.747596\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −3.16915 | −0.151601 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −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 | \(-0.771125\pi\) | ||||
−0.752444 | + | 0.658656i | \(0.771125\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 9.10268 | 0.430542 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 6.86141 | 0.323810 | 0.161905 | − | 0.986806i | \(-0.448236\pi\) | ||||
0.161905 | + | 0.986806i | \(0.448236\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 8.74456 | 0.411765 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −9.69259 | −0.455398 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 20.7846 | 0.972263 | 0.486132 | − | 0.873886i | \(-0.338408\pi\) | ||||
0.486132 | + | 0.873886i | \(0.338408\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −6.74456 | −0.314809 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 2.23369 | 0.104033 | 0.0520166 | − | 0.998646i | \(-0.483435\pi\) | ||||
0.0520166 | + | 0.998646i | \(0.483435\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −30.0897 | −1.39839 | −0.699193 | − | 0.714933i | \(-0.746457\pi\) | ||||
−0.699193 | + | 0.714933i | \(0.746457\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −7.72049 | −0.357262 | −0.178631 | − | 0.983916i | \(-0.557167\pi\) | ||||
−0.178631 | + | 0.983916i | \(0.557167\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 32.2337 | 1.48841 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −19.3723 | −0.892628 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 3.46410 | 0.159280 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 23.9538 | 1.09677 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 5.48913 | 0.250805 | 0.125402 | − | 0.992106i | \(-0.459978\pi\) | ||||
0.125402 | + | 0.992106i | \(0.459978\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0 | 0 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −2.17448 | −0.0989423 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −7.13058 | −0.323118 | −0.161559 | − | 0.986863i | \(-0.551652\pi\) | ||||
−0.161559 | + | 0.986863i | \(0.551652\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 2.74456 | 0.124113 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −6.51087 | −0.293832 | −0.146916 | − | 0.989149i | \(-0.546935\pi\) | ||||
−0.146916 | + | 0.989149i | \(0.546935\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −13.8564 | −0.624061 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 35.0458 | 1.57202 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 20.0000 | 0.895323 | 0.447661 | − | 0.894203i | \(-0.352257\pi\) | ||||
0.447661 | + | 0.894203i | \(0.352257\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 12.4674 | 0.557001 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 13.5615 | 0.604675 | 0.302338 | − | 0.953201i | \(-0.402233\pi\) | ||||
0.302338 | + | 0.953201i | \(0.402233\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 10.2997 | 0.457427 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 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 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −17.0256 | −0.751697 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −6.63325 | −0.291730 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −6.74456 | −0.296053 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −21.6060 | −0.946575 | −0.473287 | − | 0.880908i | \(-0.656933\pi\) | ||||
−0.473287 | + | 0.880908i | \(0.656933\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 29.0024 | 1.26819 | 0.634094 | − | 0.773256i | \(-0.281373\pi\) | ||||
0.634094 | + | 0.773256i | \(0.281373\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 5.34363 | 0.232772 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −22.3723 | −0.972708 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −17.4891 | −0.758963 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 0 | 0 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 10.1899 | 0.439728 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 5.00000 | 0.215365 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 34.2337 | 1.47182 | 0.735911 | − | 0.677079i | \(-0.236754\pi\) | ||||
0.735911 | + | 0.677079i | \(0.236754\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −19.1075 | −0.819980 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −29.0024 | −1.24005 | −0.620027 | − | 0.784580i | \(-0.712878\pi\) | ||||
−0.620027 | + | 0.784580i | \(0.712878\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 1.76631 | 0.0753844 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −34.9783 | −1.49012 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −4.34896 | −0.184937 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 0.994667 | 0.0421454 | 0.0210727 | − | 0.999778i | \(-0.493292\pi\) | ||||
0.0210727 | + | 0.999778i | \(0.493292\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0 | 0 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 1.25544 | 0.0530046 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −18.9051 | −0.796754 | −0.398377 | − | 0.917222i | \(-0.630426\pi\) | ||||
−0.398377 | + | 0.917222i | \(0.630426\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 12.9715 | 0.544754 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −27.2554 | −1.14261 | −0.571304 | − | 0.820739i | \(-0.693562\pi\) | ||||
−0.571304 | + | 0.820739i | \(0.693562\pi\) | |||||||
\(570\) | 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 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −21.8719 | −0.910537 | −0.455269 | − | 0.890354i | \(-0.650457\pi\) | ||||
−0.455269 | + | 0.890354i | \(0.650457\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −13.0217 | −0.541165 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 22.9783 | 0.953298 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −10.0974 | −0.418190 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −41.2743 | −1.70357 | −0.851786 | − | 0.523890i | \(-0.824480\pi\) | ||||
−0.851786 | + | 0.523890i | \(0.824480\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 13.4891 | 0.555810 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 6.74456 | 0.277434 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 22.7739 | 0.935214 | 0.467607 | − | 0.883937i | \(-0.345116\pi\) | ||||
0.467607 | + | 0.883937i | \(0.345116\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −6.33830 | −0.259409 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −10.9783 | −0.448559 | −0.224280 | − | 0.974525i | \(-0.572003\pi\) | ||||
−0.224280 | + | 0.974525i | \(0.572003\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −38.4674 | −1.56912 | −0.784558 | − | 0.620055i | \(-0.787110\pi\) | ||||
−0.784558 | + | 0.620055i | \(0.787110\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −22.0742 | −0.898932 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 3.46410 | 0.140604 | 0.0703018 | − | 0.997526i | \(-0.477604\pi\) | ||||
0.0703018 | + | 0.997526i | \(0.477604\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −24.0000 | −0.972529 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 0 | 0 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 4.34896 | 0.175653 | 0.0878265 | − | 0.996136i | \(-0.472008\pi\) | ||||
0.0878265 | + | 0.996136i | \(0.472008\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 17.0256 | 0.685423 | 0.342712 | − | 0.939441i | \(-0.388655\pi\) | ||||
0.342712 | + | 0.939441i | \(0.388655\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −14.1168 | −0.567404 | −0.283702 | − | 0.958913i | \(-0.591563\pi\) | ||||
−0.283702 | + | 0.958913i | \(0.591563\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 3.37228 | 0.135325 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 4.75372 | 0.190454 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 3.16915 | 0.126564 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −1.72281 | −0.0686931 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −23.6060 | −0.939739 | −0.469869 | − | 0.882736i | \(-0.655699\pi\) | ||||
−0.469869 | + | 0.882736i | \(0.655699\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 1.17981 | 0.0468934 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 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 | \(0.667061\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −30.4944 | −1.20258 | −0.601292 | − | 0.799030i | \(-0.705347\pi\) | ||||
−0.601292 | + | 0.799030i | \(0.705347\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −21.9817 | −0.864188 | −0.432094 | − | 0.901829i | \(-0.642225\pi\) | ||||
−0.432094 | + | 0.901829i | \(0.642225\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 7.37228 | 0.289387 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 9.25544 | 0.362749 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 30.7894 | 1.20488 | 0.602441 | − | 0.798163i | \(-0.294195\pi\) | ||||
0.602441 | + | 0.798163i | \(0.294195\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −16.4356 | −0.641216 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −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 | \(0.603005\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 6.92820 | 0.268261 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 1.88316 | 0.0728070 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −0.744563 | −0.0287435 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −18.6101 | −0.717368 | −0.358684 | − | 0.933459i | \(-0.616774\pi\) | ||||
−0.358684 | + | 0.933459i | \(0.616774\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −50.0820 | −1.92481 | −0.962404 | − | 0.271623i | \(-0.912440\pi\) | ||||
−0.962404 | + | 0.271623i | \(0.912440\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −20.2337 | −0.776498 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −13.2554 | −0.507949 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 17.9104 | 0.685323 | 0.342661 | − | 0.939459i | \(-0.388672\pi\) | ||||
0.342661 | + | 0.939459i | \(0.388672\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −11.5894 | −0.442161 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 0 | 0 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −44.8614 | −1.70661 | −0.853304 | − | 0.521413i | \(-0.825405\pi\) | ||||
−0.853304 | + | 0.521413i | \(0.825405\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −8.21782 | −0.312169 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −13.8564 | −0.524849 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −2.97825 | −0.112648 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −12.5109 | −0.472529 | −0.236265 | − | 0.971689i | \(-0.575923\pi\) | ||||
−0.236265 | + | 0.971689i | \(0.575923\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −4.34896 | −0.164024 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 20.7846 | 0.781686 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 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 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −2.67181 | −0.100060 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −11.6819 | −0.436269 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 30.3505 | 1.13188 | 0.565942 | − | 0.824445i | \(-0.308513\pi\) | ||||
0.565942 | + | 0.824445i | \(0.308513\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −36.0000 | −1.34071 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −13.2665 | −0.493386 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 14.0588 | 0.521412 | 0.260706 | − | 0.965418i | \(-0.416045\pi\) | ||||
0.260706 | + | 0.965418i | \(0.416045\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 1.23369 | 0.0456921 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −5.48913 | −0.203023 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 9.50744 | 0.351165 | 0.175583 | − | 0.984465i | \(-0.443819\pi\) | ||||
0.175583 | + | 0.984465i | \(0.443819\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 9.30506 | 0.342756 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 10.7446 | 0.395245 | 0.197623 | − | 0.980278i | \(-0.436678\pi\) | ||||
0.197623 | + | 0.980278i | \(0.436678\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 11.3870 | 0.417747 | 0.208874 | − | 0.977943i | \(-0.433020\pi\) | ||||
0.208874 | + | 0.977943i | \(0.433020\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −15.7359 | −0.575748 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −22.9783 | −0.839607 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −27.3723 | −0.998829 | −0.499414 | − | 0.866363i | \(-0.666451\pi\) | ||||
−0.499414 | + | 0.866363i | \(0.666451\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −17.5229 | −0.638570 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −39.7995 | −1.44654 | −0.723269 | − | 0.690567i | \(-0.757361\pi\) | ||||
−0.723269 | + | 0.690567i | \(0.757361\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −0.627719 | −0.0227847 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 32.7446 | 1.18699 | 0.593495 | − | 0.804838i | \(-0.297748\pi\) | ||||
0.593495 | + | 0.804838i | \(0.297748\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 34.6410 | 1.25409 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 29.2119 | 1.05341 | 0.526705 | − | 0.850048i | \(-0.323427\pi\) | ||||
0.526705 | + | 0.850048i | \(0.323427\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 8.46738 | 0.304945 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 17.6155 | 0.633584 | 0.316792 | − | 0.948495i | \(-0.397394\pi\) | ||||
0.316792 | + | 0.948495i | \(0.397394\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −2.98400 | −0.107050 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −34.9783 | −1.25323 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 10.1168 | 0.362009 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 37.2203 | 1.33014 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −15.1460 | −0.539898 | −0.269949 | − | 0.962875i | \(-0.587007\pi\) | ||||
−0.269949 | + | 0.962875i | \(0.587007\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −21.7228 | −0.773353 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 1.72281 | 0.0612562 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 0 | 0 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −5.25106 | −0.186002 | −0.0930010 | − | 0.995666i | \(-0.529646\pi\) | ||||
−0.0930010 | + | 0.995666i | \(0.529646\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 10.5109 | 0.371848 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −3.25544 | −0.115025 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 6.92820 | 0.244491 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 9.10268 | 0.320430 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −32.7446 | −1.15124 | −0.575619 | − | 0.817718i | \(-0.695239\pi\) | ||||
−0.575619 | + | 0.817718i | \(0.695239\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 0.233688 | 0.00820589 | 0.00410295 | − | 0.999992i | \(-0.498694\pi\) | ||||
0.00410295 | + | 0.999992i | \(0.498694\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 10.6873 | 0.374819 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −13.8564 | −0.484774 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −18.0000 | −0.628204 | −0.314102 | − | 0.949389i | \(-0.601703\pi\) | ||||
−0.314102 | + | 0.949389i | \(0.601703\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 56.0328 | 1.95318 | 0.976590 | − | 0.215111i | \(-0.0690112\pi\) | ||||
0.976590 | + | 0.215111i | \(0.0690112\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 28.4125 | 0.988000 | 0.494000 | − | 0.869462i | \(-0.335534\pi\) | ||||
0.494000 | + | 0.869462i | \(0.335534\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −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 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −14.3537 | −0.496138 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 10.1168 | 0.349272 | 0.174636 | − | 0.984633i | \(-0.444125\pi\) | ||||
0.174636 | + | 0.984633i | \(0.444125\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 47.4674 | 1.63681 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 0.404759 | 0.0139407 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 3.46410 | 0.119028 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −12.0000 | −0.411839 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 0.861407 | 0.0295286 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −35.0458 | −1.19994 | −0.599972 | − | 0.800021i | \(-0.704822\pi\) | ||||
−0.599972 | + | 0.800021i | \(0.704822\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 23.9538 | 0.818245 | 0.409122 | − | 0.912480i | \(-0.365835\pi\) | ||||
0.409122 | + | 0.912480i | \(0.365835\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 6.11684 | 0.208704 | 0.104352 | − | 0.994540i | \(-0.466723\pi\) | ||||
0.104352 | + | 0.994540i | \(0.466723\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −24.0000 | −0.817918 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −2.87419 | −0.0978387 | −0.0489194 | − | 0.998803i | \(-0.515578\pi\) | ||||
−0.0489194 | + | 0.998803i | \(0.515578\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 11.4795 | 0.389866 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −1.25544 | −0.0425878 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0 | 0 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 13.8564 | 0.468968 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 2.51087 | 0.0846897 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −6.86141 | −0.231167 | −0.115583 | − | 0.993298i | \(-0.536874\pi\) | ||||
−0.115583 | + | 0.993298i | \(0.536874\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 24.2487 | 0.816034 | 0.408017 | − | 0.912974i | \(-0.366220\pi\) | ||||
0.408017 | + | 0.912974i | \(0.366220\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −27.4179 | −0.920602 | −0.460301 | − | 0.887763i | \(-0.652258\pi\) | ||||
−0.460301 | + | 0.887763i | \(0.652258\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −28.4674 | −0.954765 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 3.74456 | 0.125448 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 26.5330 | 0.887893 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −29.4891 | −0.983517 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 16.0000 | 0.533037 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −9.50744 | −0.316388 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −19.8997 | −0.660760 | −0.330380 | − | 0.943848i | \(-0.607177\pi\) | ||||
−0.330380 | + | 0.943848i | \(0.607177\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −14.2337 | −0.472102 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 53.4891 | 1.77217 | 0.886087 | − | 0.463519i | \(-0.153413\pi\) | ||||
0.886087 | + | 0.463519i | \(0.153413\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 6.63325 | 0.219529 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 9.50744 | 0.313963 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 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 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 0 | 0 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 24.6535 | 0.809726 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −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 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 4.34896 | 0.142379 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −53.6559 | −1.75286 | −0.876431 | − | 0.481527i | \(-0.840082\pi\) | ||||
−0.876431 | + | 0.481527i | \(0.840082\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −17.3288 | −0.565503 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −58.4674 | −1.90598 | −0.952991 | − | 0.302999i | \(-0.902012\pi\) | ||||
−0.952991 | + | 0.302999i | \(0.902012\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 6.92820 | 0.225613 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −26.7354 | −0.868783 | −0.434392 | − | 0.900724i | \(-0.643037\pi\) | ||||
−0.434392 | + | 0.900724i | \(0.643037\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 0 | 0 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 26.1168 | 0.846897 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −31.2867 | −1.01348 | −0.506738 | − | 0.862100i | \(-0.669149\pi\) | ||||
−0.506738 | + | 0.862100i | \(0.669149\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −6.92820 | −0.223957 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −49.7228 | −1.60563 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −19.6277 | −0.633152 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 15.7359 | 0.507083 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −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 | \(-0.453380\pi\) | ||||
0.145938 | + | 0.989294i | \(0.453380\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 56.2351 | 1.80282 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 50.5793 | 1.61818 | 0.809088 | − | 0.587687i | \(-0.199962\pi\) | ||||
0.809088 | + | 0.587687i | \(0.199962\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 1.37228 | 0.0438583 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −23.7228 | −0.757411 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −24.7460 | −0.789276 | −0.394638 | − | 0.918837i | \(-0.629130\pi\) | ||||
−0.394638 | + | 0.918837i | \(0.629130\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 18.2054 | 0.579483 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 2.74456 | 0.0872720 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −18.9783 | −0.602864 | −0.301432 | − | 0.953488i | \(-0.597465\pi\) | ||||
−0.301432 | + | 0.953488i | \(0.597465\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −11.1846 | −0.354932 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −2.17448 | −0.0688665 | −0.0344333 | − | 0.999407i | \(-0.510963\pi\) | ||||
−0.0344333 | + | 0.999407i | \(0.510963\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 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 \(a_p\))