Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1088,2,Mod(1,1088)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1088, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([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("1088.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1088 = 2^{6} \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1088.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: | \(8.68772373992\) |
Analytic rank: | \(0\) |
Dimension: | \(2\) |
Coefficient field: | \(\Q(\zeta_{12})^+\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{2} - 3 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 68) |
Fricke sign: | \(-1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.1 | ||
Root | \(-1.73205\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1088.1 |
$q$-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 | ||||||||
\(3\) | −0.732051 | −0.422650 | −0.211325 | − | 0.977416i | \(-0.567778\pi\) | ||||
−0.211325 | + | 0.977416i | \(0.567778\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −3.46410 | −1.54919 | −0.774597 | − | 0.632456i | \(-0.782047\pi\) | ||||
−0.774597 | + | 0.632456i | \(0.782047\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.732051 | −0.276689 | −0.138345 | − | 0.990384i | \(-0.544178\pi\) | ||||
−0.138345 | + | 0.990384i | \(0.544178\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −2.46410 | −0.821367 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −4.73205 | −1.42677 | −0.713384 | − | 0.700774i | \(-0.752838\pi\) | ||||
−0.713384 | + | 0.700774i | \(0.752838\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.46410 | 0.406069 | 0.203034 | − | 0.979172i | \(-0.434920\pi\) | ||||
0.203034 | + | 0.979172i | \(0.434920\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 2.53590 | 0.654766 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −1.00000 | −0.242536 | ||||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 5.46410 | 1.25355 | 0.626775 | − | 0.779200i | \(-0.284374\pi\) | ||||
0.626775 | + | 0.779200i | \(0.284374\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0.535898 | 0.116943 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 4.73205 | 0.986701 | 0.493350 | − | 0.869831i | \(-0.335772\pi\) | ||||
0.493350 | + | 0.869831i | \(0.335772\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 7.00000 | 1.40000 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 4.00000 | 0.769800 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 3.46410 | 0.643268 | 0.321634 | − | 0.946864i | \(-0.395768\pi\) | ||||
0.321634 | + | 0.946864i | \(0.395768\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 6.19615 | 1.11286 | 0.556431 | − | 0.830894i | \(-0.312170\pi\) | ||||
0.556431 | + | 0.830894i | \(0.312170\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 3.46410 | 0.603023 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 2.53590 | 0.428645 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −11.4641 | −1.88469 | −0.942343 | − | 0.334648i | \(-0.891383\pi\) | ||||
−0.942343 | + | 0.334648i | \(0.891383\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −1.07180 | −0.171625 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −6.00000 | −0.937043 | −0.468521 | − | 0.883452i | \(-0.655213\pi\) | ||||
−0.468521 | + | 0.883452i | \(0.655213\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 12.3923 | 1.88981 | 0.944904 | − | 0.327346i | \(-0.106154\pi\) | ||||
0.944904 | + | 0.327346i | \(0.106154\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 8.53590 | 1.27246 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −6.92820 | −1.01058 | −0.505291 | − | 0.862949i | \(-0.668615\pi\) | ||||
−0.505291 | + | 0.862949i | \(0.668615\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −6.46410 | −0.923443 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0.732051 | 0.102508 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 0.928203 | 0.127499 | 0.0637493 | − | 0.997966i | \(-0.479694\pi\) | ||||
0.0637493 | + | 0.997966i | \(0.479694\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 16.3923 | 2.21034 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −4.00000 | −0.529813 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 9.46410 | 1.23212 | 0.616061 | − | 0.787699i | \(-0.288728\pi\) | ||||
0.616061 | + | 0.787699i | \(0.288728\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 7.46410 | 0.955680 | 0.477840 | − | 0.878447i | \(-0.341420\pi\) | ||||
0.477840 | + | 0.878447i | \(0.341420\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 1.80385 | 0.227263 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −5.07180 | −0.629079 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.07180 | 0.130941 | 0.0654704 | − | 0.997855i | \(-0.479145\pi\) | ||||
0.0654704 | + | 0.997855i | \(0.479145\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −3.46410 | −0.417029 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −2.19615 | −0.260635 | −0.130318 | − | 0.991472i | \(-0.541600\pi\) | ||||
−0.130318 | + | 0.991472i | \(0.541600\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 2.00000 | 0.234082 | 0.117041 | − | 0.993127i | \(-0.462659\pi\) | ||||
0.117041 | + | 0.993127i | \(0.462659\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −5.12436 | −0.591710 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 3.46410 | 0.394771 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 1.80385 | 0.202949 | 0.101474 | − | 0.994838i | \(-0.467644\pi\) | ||||
0.101474 | + | 0.994838i | \(0.467644\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 4.46410 | 0.496011 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −9.46410 | −1.03882 | −0.519410 | − | 0.854525i | \(-0.673848\pi\) | ||||
−0.519410 | + | 0.854525i | \(0.673848\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 3.46410 | 0.375735 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −2.53590 | −0.271877 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 9.46410 | 1.00319 | 0.501596 | − | 0.865102i | \(-0.332746\pi\) | ||||
0.501596 | + | 0.865102i | \(0.332746\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −1.07180 | −0.112355 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −4.53590 | −0.470351 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −18.9282 | −1.94199 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 8.92820 | 0.906522 | 0.453261 | − | 0.891378i | \(-0.350261\pi\) | ||||
0.453261 | + | 0.891378i | \(0.350261\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 11.6603 | 1.17190 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 9.46410 | 0.941713 | 0.470857 | − | 0.882210i | \(-0.343945\pi\) | ||||
0.470857 | + | 0.882210i | \(0.343945\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −2.92820 | −0.288524 | −0.144262 | − | 0.989539i | \(-0.546081\pi\) | ||||
−0.144262 | + | 0.989539i | \(0.546081\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −1.85641 | −0.181167 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 7.26795 | 0.702619 | 0.351310 | − | 0.936259i | \(-0.385736\pi\) | ||||
0.351310 | + | 0.936259i | \(0.385736\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −6.39230 | −0.612272 | −0.306136 | − | 0.951988i | \(-0.599036\pi\) | ||||
−0.306136 | + | 0.951988i | \(0.599036\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 8.39230 | 0.796562 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −7.85641 | −0.739069 | −0.369534 | − | 0.929217i | \(-0.620483\pi\) | ||||
−0.369534 | + | 0.929217i | \(0.620483\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −16.3923 | −1.52859 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −3.60770 | −0.333532 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0.732051 | 0.0671070 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 11.3923 | 1.03566 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 4.39230 | 0.396041 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −6.92820 | −0.619677 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 20.3923 | 1.80952 | 0.904762 | − | 0.425917i | \(-0.140048\pi\) | ||||
0.904762 | + | 0.425917i | \(0.140048\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −9.07180 | −0.798727 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −11.6603 | −1.01876 | −0.509381 | − | 0.860541i | \(-0.670125\pi\) | ||||
−0.509381 | + | 0.860541i | \(0.670125\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −4.00000 | −0.346844 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −13.8564 | −1.19257 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 9.46410 | 0.808573 | 0.404286 | − | 0.914632i | \(-0.367520\pi\) | ||||
0.404286 | + | 0.914632i | \(0.367520\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −11.2679 | −0.955735 | −0.477867 | − | 0.878432i | \(-0.658590\pi\) | ||||
−0.477867 | + | 0.878432i | \(0.658590\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 5.07180 | 0.427122 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −6.92820 | −0.579365 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −12.0000 | −0.996546 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 4.73205 | 0.390293 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −6.00000 | −0.491539 | −0.245770 | − | 0.969328i | \(-0.579041\pi\) | ||||
−0.245770 | + | 0.969328i | \(0.579041\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 6.53590 | 0.531884 | 0.265942 | − | 0.963989i | \(-0.414317\pi\) | ||||
0.265942 | + | 0.963989i | \(0.414317\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 2.46410 | 0.199211 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −21.4641 | −1.72404 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −2.00000 | −0.159617 | −0.0798087 | − | 0.996810i | \(-0.525431\pi\) | ||||
−0.0798087 | + | 0.996810i | \(0.525431\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −0.679492 | −0.0538872 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −3.46410 | −0.273009 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −10.5885 | −0.829352 | −0.414676 | − | 0.909969i | \(-0.636105\pi\) | ||||
−0.414676 | + | 0.909969i | \(0.636105\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −12.0000 | −0.934199 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 11.6603 | 0.902298 | 0.451149 | − | 0.892449i | \(-0.351014\pi\) | ||||
0.451149 | + | 0.892449i | \(0.351014\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −10.8564 | −0.835108 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −13.4641 | −1.02963 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 8.53590 | 0.648972 | 0.324486 | − | 0.945890i | \(-0.394809\pi\) | ||||
0.324486 | + | 0.945890i | \(0.394809\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −5.12436 | −0.387365 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −6.92820 | −0.520756 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 21.4641 | 1.60430 | 0.802151 | − | 0.597121i | \(-0.203689\pi\) | ||||
0.802151 | + | 0.597121i | \(0.203689\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −11.4641 | −0.852120 | −0.426060 | − | 0.904695i | \(-0.640099\pi\) | ||||
−0.426060 | + | 0.904695i | \(0.640099\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −5.46410 | −0.403918 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 39.7128 | 2.91974 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 4.73205 | 0.346042 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −2.92820 | −0.212995 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −12.0000 | −0.868290 | −0.434145 | − | 0.900843i | \(-0.642949\pi\) | ||||
−0.434145 | + | 0.900843i | \(0.642949\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 7.07180 | 0.509039 | 0.254520 | − | 0.967068i | \(-0.418083\pi\) | ||||
0.254520 | + | 0.967068i | \(0.418083\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 3.71281 | 0.265880 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 3.46410 | 0.246807 | 0.123404 | − | 0.992357i | \(-0.460619\pi\) | ||||
0.123404 | + | 0.992357i | \(0.460619\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 6.19615 | 0.439234 | 0.219617 | − | 0.975586i | \(-0.429519\pi\) | ||||
0.219617 | + | 0.975586i | \(0.429519\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −0.784610 | −0.0553421 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −2.53590 | −0.177985 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 20.7846 | 1.45166 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −11.6603 | −0.810444 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −25.8564 | −1.78853 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 19.6603 | 1.35347 | 0.676734 | − | 0.736228i | \(-0.263395\pi\) | ||||
0.676734 | + | 0.736228i | \(0.263395\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 1.60770 | 0.110157 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −42.9282 | −2.92768 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −4.53590 | −0.307917 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −1.46410 | −0.0989348 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −1.46410 | −0.0984861 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 8.39230 | 0.561990 | 0.280995 | − | 0.959709i | \(-0.409336\pi\) | ||||
0.280995 | + | 0.959709i | \(0.409336\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −17.2487 | −1.14991 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −9.80385 | −0.650704 | −0.325352 | − | 0.945593i | \(-0.605483\pi\) | ||||
−0.325352 | + | 0.945593i | \(0.605483\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −0.392305 | −0.0259242 | −0.0129621 | − | 0.999916i | \(-0.504126\pi\) | ||||
−0.0129621 | + | 0.999916i | \(0.504126\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −2.53590 | −0.166850 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 6.00000 | 0.393073 | 0.196537 | − | 0.980497i | \(-0.437031\pi\) | ||||
0.196537 | + | 0.980497i | \(0.437031\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 24.0000 | 1.56559 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −1.32051 | −0.0857762 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 20.7846 | 1.34444 | 0.672222 | − | 0.740349i | \(-0.265340\pi\) | ||||
0.672222 | + | 0.740349i | \(0.265340\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 2.00000 | 0.128831 | 0.0644157 | − | 0.997923i | \(-0.479482\pi\) | ||||
0.0644157 | + | 0.997923i | \(0.479482\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −15.2679 | −0.979439 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 22.3923 | 1.43059 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 8.00000 | 0.509028 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 6.92820 | 0.439057 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −6.92820 | −0.437304 | −0.218652 | − | 0.975803i | \(-0.570166\pi\) | ||||
−0.218652 | + | 0.975803i | \(0.570166\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −22.3923 | −1.40779 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −2.53590 | −0.158804 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −7.60770 | −0.474555 | −0.237277 | − | 0.971442i | \(-0.576255\pi\) | ||||
−0.237277 | + | 0.971442i | \(0.576255\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 8.39230 | 0.521472 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −8.53590 | −0.528359 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 23.3205 | 1.43800 | 0.719002 | − | 0.695008i | \(-0.244599\pi\) | ||||
0.719002 | + | 0.695008i | \(0.244599\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −3.21539 | −0.197520 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −6.92820 | −0.423999 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 20.5359 | 1.25210 | 0.626048 | − | 0.779785i | \(-0.284671\pi\) | ||||
0.626048 | + | 0.779785i | \(0.284671\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −14.9282 | −0.906824 | −0.453412 | − | 0.891301i | \(-0.649793\pi\) | ||||
−0.453412 | + | 0.891301i | \(0.649793\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0.784610 | 0.0474867 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −33.1244 | −1.99747 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 14.3923 | 0.864750 | 0.432375 | − | 0.901694i | \(-0.357676\pi\) | ||||
0.432375 | + | 0.901694i | \(0.357676\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −15.2679 | −0.914068 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 7.85641 | 0.468674 | 0.234337 | − | 0.972155i | \(-0.424708\pi\) | ||||
0.234337 | + | 0.972155i | \(0.424708\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −10.5885 | −0.629418 | −0.314709 | − | 0.949188i | \(-0.601907\pi\) | ||||
−0.314709 | + | 0.949188i | \(0.601907\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 13.8564 | 0.820783 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 4.39230 | 0.259270 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 1.00000 | 0.0588235 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −6.53590 | −0.383141 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −30.0000 | −1.75262 | −0.876309 | − | 0.481749i | \(-0.840002\pi\) | ||||
−0.876309 | + | 0.481749i | \(0.840002\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −32.7846 | −1.90879 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −18.9282 | −1.09833 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 6.92820 | 0.400668 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −9.07180 | −0.522890 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −6.92820 | −0.398015 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −25.8564 | −1.48053 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 16.7846 | 0.957948 | 0.478974 | − | 0.877829i | \(-0.341009\pi\) | ||||
0.478974 | + | 0.877829i | \(0.341009\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 2.14359 | 0.121945 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −21.1244 | −1.19785 | −0.598926 | − | 0.800804i | \(-0.704406\pi\) | ||||
−0.598926 | + | 0.800804i | \(0.704406\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 7.07180 | 0.399722 | 0.199861 | − | 0.979824i | \(-0.435951\pi\) | ||||
0.199861 | + | 0.979824i | \(0.435951\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −6.24871 | −0.352075 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −15.4641 | −0.868550 | −0.434275 | − | 0.900780i | \(-0.642995\pi\) | ||||
−0.434275 | + | 0.900780i | \(0.642995\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −16.3923 | −0.917793 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −5.32051 | −0.296962 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −5.46410 | −0.304031 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 10.2487 | 0.568496 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 4.67949 | 0.258776 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 5.07180 | 0.279617 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −15.3205 | −0.842091 | −0.421046 | − | 0.907039i | \(-0.638337\pi\) | ||||
−0.421046 | + | 0.907039i | \(0.638337\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 28.2487 | 1.54802 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −3.71281 | −0.202853 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 34.7846 | 1.89484 | 0.947419 | − | 0.319995i | \(-0.103681\pi\) | ||||
0.947419 | + | 0.319995i | \(0.103681\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 5.75129 | 0.312367 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −29.3205 | −1.58779 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 9.85641 | 0.532196 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 12.0000 | 0.646058 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 4.05256 | 0.217553 | 0.108776 | − | 0.994066i | \(-0.465307\pi\) | ||||
0.108776 | + | 0.994066i | \(0.465307\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 30.7846 | 1.64786 | 0.823931 | − | 0.566690i | \(-0.191776\pi\) | ||||
0.823931 | + | 0.566690i | \(0.191776\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 5.85641 | 0.312592 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 7.85641 | 0.418154 | 0.209077 | − | 0.977899i | \(-0.432954\pi\) | ||||
0.209077 | + | 0.977899i | \(0.432954\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 7.60770 | 0.403775 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −0.535898 | −0.0283628 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −11.3205 | −0.597474 | −0.298737 | − | 0.954336i | \(-0.596565\pi\) | ||||
−0.298737 | + | 0.954336i | \(0.596565\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 10.8564 | 0.571390 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −8.33975 | −0.437723 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −6.92820 | −0.362639 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −19.6603 | −1.02626 | −0.513128 | − | 0.858312i | \(-0.671514\pi\) | ||||
−0.513128 | + | 0.858312i | \(0.671514\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 14.7846 | 0.769656 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −0.679492 | −0.0352775 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −12.3923 | −0.641649 | −0.320825 | − | 0.947139i | \(-0.603960\pi\) | ||||
−0.320825 | + | 0.947139i | \(0.603960\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 5.07180 | 0.261906 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 5.07180 | 0.261211 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −8.73205 | −0.448535 | −0.224268 | − | 0.974528i | \(-0.571999\pi\) | ||||
−0.224268 | + | 0.974528i | \(0.571999\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −14.9282 | −0.764795 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 9.46410 | 0.483593 | 0.241797 | − | 0.970327i | \(-0.422263\pi\) | ||||
0.241797 | + | 0.970327i | \(0.422263\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −12.0000 | −0.611577 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −30.5359 | −1.55223 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 25.1769 | 1.27652 | 0.638260 | − | 0.769821i | \(-0.279654\pi\) | ||||
0.638260 | + | 0.769821i | \(0.279654\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −4.73205 | −0.239310 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 8.53590 | 0.430579 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −6.24871 | −0.314407 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 26.3923 | 1.32459 | 0.662296 | − | 0.749242i | \(-0.269582\pi\) | ||||
0.662296 | + | 0.749242i | \(0.269582\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 2.92820 | 0.146594 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 4.14359 | 0.206921 | 0.103461 | − | 0.994634i | \(-0.467008\pi\) | ||||
0.103461 | + | 0.994634i | \(0.467008\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 9.07180 | 0.451898 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −15.4641 | −0.768417 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 54.2487 | 2.68901 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −37.7128 | −1.86478 | −0.932389 | − | 0.361456i | \(-0.882280\pi\) | ||||
−0.932389 | + | 0.361456i | \(0.882280\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −6.92820 | −0.341743 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −6.92820 | −0.340915 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 32.7846 | 1.60933 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 8.24871 | 0.403941 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 6.58846 | 0.321867 | 0.160934 | − | 0.986965i | \(-0.448550\pi\) | ||||
0.160934 | + | 0.986965i | \(0.448550\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −26.2487 | −1.27928 | −0.639642 | − | 0.768673i | \(-0.720917\pi\) | ||||
−0.639642 | + | 0.768673i | \(0.720917\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 17.0718 | 0.830059 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −7.00000 | −0.339550 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −5.46410 | −0.264426 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 5.07180 | 0.244869 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −0.339746 | −0.0163650 | −0.00818249 | − | 0.999967i | \(-0.502605\pi\) | ||||
−0.00818249 | + | 0.999967i | \(0.502605\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 24.3923 | 1.17222 | 0.586110 | − | 0.810232i | \(-0.300659\pi\) | ||||
0.586110 | + | 0.810232i | \(0.300659\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 8.78461 | 0.421190 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 25.8564 | 1.23688 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 13.8038 | 0.658822 | 0.329411 | − | 0.944187i | \(-0.393150\pi\) | ||||
0.329411 | + | 0.944187i | \(0.393150\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 15.9282 | 0.758486 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 20.7846 | 0.987507 | 0.493753 | − | 0.869602i | \(-0.335625\pi\) | ||||
0.493753 | + | 0.869602i | \(0.335625\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −32.7846 | −1.55414 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 4.39230 | 0.207749 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 6.00000 | 0.283158 | 0.141579 | − | 0.989927i | \(-0.454782\pi\) | ||||
0.141579 | + | 0.989927i | \(0.454782\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 28.3923 | 1.33694 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −4.78461 | −0.224801 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 3.71281 | 0.174059 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 0.392305 | 0.0183512 | 0.00917562 | − | 0.999958i | \(-0.497079\pi\) | ||||
0.00917562 | + | 0.999958i | \(0.497079\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −4.00000 | −0.186704 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 14.7846 | 0.688588 | 0.344294 | − | 0.938862i | \(-0.388118\pi\) | ||||
0.344294 | + | 0.938862i | \(0.388118\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 29.8564 | 1.38754 | 0.693772 | − | 0.720194i | \(-0.255947\pi\) | ||||
0.693772 | + | 0.720194i | \(0.255947\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 15.7128 | 0.728664 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 21.4641 | 0.993240 | 0.496620 | − | 0.867968i | \(-0.334574\pi\) | ||||
0.496620 | + | 0.867968i | \(0.334574\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −0.784610 | −0.0362299 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 1.46410 | 0.0674622 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −58.6410 | −2.69632 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 38.2487 | 1.75497 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −2.28719 | −0.104723 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 0.339746 | 0.0155234 | 0.00776169 | − | 0.999970i | \(-0.497529\pi\) | ||||
0.00776169 | + | 0.999970i | \(0.497529\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −16.7846 | −0.765312 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 2.53590 | 0.115387 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −30.9282 | −1.40438 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 32.0526 | 1.45244 | 0.726220 | − | 0.687462i | \(-0.241275\pi\) | ||||
0.726220 | + | 0.687462i | \(0.241275\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 7.75129 | 0.350525 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 25.1769 | 1.13622 | 0.568109 | − | 0.822953i | \(-0.307675\pi\) | ||||
0.568109 | + | 0.822953i | \(0.307675\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −3.46410 | −0.156015 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −40.3923 | −1.81550 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 1.60770 | 0.0721150 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −26.9808 | −1.20782 | −0.603912 | − | 0.797051i | \(-0.706392\pi\) | ||||
−0.603912 | + | 0.797051i | \(0.706392\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −8.53590 | −0.381356 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −2.87564 | −0.128219 | −0.0641093 | − | 0.997943i | \(-0.520421\pi\) | ||||
−0.0641093 | + | 0.997943i | \(0.520421\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −32.7846 | −1.45890 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 7.94744 | 0.352958 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −33.7128 | −1.49429 | −0.747147 | − | 0.664659i | \(-0.768577\pi\) | ||||
−0.747147 | + | 0.664659i | \(0.768577\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −1.46410 | −0.0647680 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 21.8564 | 0.964984 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 10.1436 | 0.446980 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 32.7846 | 1.44187 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −6.24871 | −0.274288 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −6.00000 | −0.262865 | −0.131432 | − | 0.991325i | \(-0.541958\pi\) | ||||
−0.131432 | + | 0.991325i | \(0.541958\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 28.7846 | 1.25866 | 0.629332 | − | 0.777137i | \(-0.283329\pi\) | ||||
0.629332 | + | 0.777137i | \(0.283329\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 3.75129 | 0.163720 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −6.19615 | −0.269909 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −0.607695 | −0.0264215 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −23.3205 | −1.01202 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −8.78461 | −0.380504 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −25.1769 | −1.08849 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −15.7128 | −0.678058 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 30.5885 | 1.31754 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 2.39230 | 0.102853 | 0.0514266 | − | 0.998677i | \(-0.483623\pi\) | ||||
0.0514266 | + | 0.998677i | \(0.483623\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 8.39230 | 0.360148 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 22.1436 | 0.948527 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 39.2679 | 1.67898 | 0.839488 | − | 0.543378i | \(-0.182855\pi\) | ||||
0.839488 | + | 0.543378i | \(0.182855\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −18.3923 | −0.784964 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 18.9282 | 0.806369 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −1.32051 | −0.0561537 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −29.0718 | −1.23403 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 33.4641 | 1.41792 | 0.708960 | − | 0.705249i | \(-0.249165\pi\) | ||||
0.708960 | + | 0.705249i | \(0.249165\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 18.1436 | 0.767392 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −3.46410 | −0.146254 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −0.679492 | −0.0286372 | −0.0143186 | − | 0.999897i | \(-0.504558\pi\) | ||||
−0.0143186 | + | 0.999897i | \(0.504558\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 27.2154 | 1.14496 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −3.26795 | −0.137241 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 19.8564 | 0.832424 | 0.416212 | − | 0.909268i | \(-0.363357\pi\) | ||||
0.416212 | + | 0.909268i | \(0.363357\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −13.1244 | −0.549237 | −0.274619 | − | 0.961553i | \(-0.588552\pi\) | ||||
−0.274619 | + | 0.961553i | \(0.588552\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 8.78461 | 0.366982 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 33.1244 | 1.38138 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −6.53590 | −0.272093 | −0.136047 | − | 0.990702i | \(-0.543440\pi\) | ||||
−0.136047 | + | 0.990702i | \(0.543440\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −5.17691 | −0.215145 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 6.92820 | 0.287430 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −4.39230 | −0.181911 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 12.4974 | 0.516705 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 7.60770 | 0.314003 | 0.157002 | − | 0.987598i | \(-0.449817\pi\) | ||||
0.157002 | + | 0.987598i | \(0.449817\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 33.8564 | 1.39503 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −2.53590 | −0.104313 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −31.8564 | −1.30819 | −0.654093 | − | 0.756414i | \(-0.726949\pi\) | ||||
−0.654093 | + | 0.756414i | \(0.726949\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −2.53590 | −0.103962 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −4.53590 | −0.185642 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −27.7128 | −1.13231 | −0.566157 | − | 0.824297i | \(-0.691571\pi\) | ||||
−0.566157 | + | 0.824297i | \(0.691571\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −30.7846 | −1.25573 | −0.627865 | − | 0.778322i | \(-0.716071\pi\) | ||||
−0.627865 | + | 0.778322i | \(0.716071\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −2.64102 | −0.107550 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −39.4641 | −1.60444 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 35.2679 | 1.43148 | 0.715741 | − | 0.698366i | \(-0.246089\pi\) | ||||
0.715741 | + | 0.698366i | \(0.246089\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 1.85641 | 0.0752254 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −10.1436 | −0.410366 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 20.1436 | 0.813592 | 0.406796 | − | 0.913519i | \(-0.366646\pi\) | ||||
0.406796 | + | 0.913519i | \(0.366646\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −15.2154 | −0.613544 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 47.5692 | 1.91506 | 0.957532 | − | 0.288326i | \(-0.0930987\pi\) | ||||
0.957532 | + | 0.288326i | \(0.0930987\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 22.1962 | 0.892139 | 0.446069 | − | 0.894998i | \(-0.352823\pi\) | ||||
0.446069 | + | 0.894998i | \(0.352823\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 18.9282 | 0.759563 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −6.92820 | −0.277573 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −11.0000 | −0.440000 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 18.9282 | 0.755920 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 11.4641 | 0.457104 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −34.5359 | −1.37485 | −0.687426 | − | 0.726254i | \(-0.741260\pi\) | ||||
−0.687426 | + | 0.726254i | \(0.741260\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −14.3923 | −0.572043 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −70.6410 | −2.80330 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −9.46410 | −0.374981 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 5.41154 | 0.214077 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 0.928203 | 0.0366618 | 0.0183309 | − | 0.999832i | \(-0.494165\pi\) | ||||
0.0183309 | + | 0.999832i | \(0.494165\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 1.41154 | 0.0556658 | 0.0278329 | − | 0.999613i | \(-0.491139\pi\) | ||||
0.0278329 | + | 0.999613i | \(0.491139\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 31.4256 | 1.23738 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −30.9282 | −1.21591 | −0.607957 | − | 0.793970i | \(-0.708011\pi\) | ||||
−0.607957 | + | 0.793970i | \(0.708011\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −44.7846 | −1.75795 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 3.32051 | 0.130141 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −10.3923 | −0.406682 | −0.203341 | − | 0.979108i | \(-0.565180\pi\) | ||||
−0.203341 | + | 0.979108i | \(0.565180\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 40.3923 | 1.57826 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −4.92820 | −0.192268 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 29.0718 | 1.13248 | 0.566238 | − | 0.824242i | \(-0.308398\pi\) | ||||
0.566238 | + | 0.824242i | \(0.308398\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 28.9282 | 1.12518 | 0.562588 | − | 0.826737i | \(-0.309806\pi\) | ||||
0.562588 | + | 0.826737i | \(0.309806\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 1.07180 | 0.0416251 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 13.8564 | 0.537328 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 16.3923 | 0.634713 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −6.14359 | −0.237525 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −35.3205 | −1.36353 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 27.8564 | 1.07379 | 0.536893 | − | 0.843650i | \(-0.319598\pi\) | ||||
0.536893 | + | 0.843650i | \(0.319598\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 28.0000 | 1.07772 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −24.2487 | −0.931954 | −0.465977 | − | 0.884797i | \(-0.654297\pi\) | ||||
−0.465977 | + | 0.884797i | \(0.654297\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −6.53590 | −0.250825 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 7.17691 | 0.275020 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −7.94744 | −0.304100 | −0.152050 | − | 0.988373i | \(-0.548588\pi\) | ||||
−0.152050 | + | 0.988373i | \(0.548588\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −32.7846 | −1.25264 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0.287187 | 0.0109569 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 1.35898 | 0.0517732 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −25.8038 | −0.981625 | −0.490812 | − | 0.871265i | \(-0.663300\pi\) | ||||
−0.490812 | + | 0.871265i | \(0.663300\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −8.53590 | −0.324252 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 39.0333 | 1.48062 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 6.00000 | 0.227266 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −4.39230 | −0.166132 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −4.39230 | −0.165895 | −0.0829475 | − | 0.996554i | \(-0.526433\pi\) | ||||
−0.0829475 | + | 0.996554i | \(0.526433\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −62.6410 | −2.36255 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −17.5692 | −0.661695 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −6.92820 | −0.260562 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −32.2487 | −1.21113 | −0.605563 | − | 0.795797i | \(-0.707052\pi\) | ||||
−0.605563 | + | 0.795797i | \(0.707052\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −4.44486 | −0.166695 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 29.3205 | 1.09806 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 24.0000 | 0.897549 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −15.2154 | −0.568229 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 1.51666 | 0.0565619 | 0.0282809 | − | 0.999600i | \(-0.490997\pi\) | ||||
0.0282809 | + | 0.999600i | \(0.490997\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 2.14359 | 0.0798316 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −1.46410 | −0.0544505 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 24.2487 | 0.900575 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 36.7846 | 1.36427 | 0.682133 | − | 0.731228i | \(-0.261053\pi\) | ||||
0.682133 | + | 0.731228i | \(0.261053\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −2.21539 | −0.0820515 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −12.3923 | −0.458346 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −22.7846 | −0.841569 | −0.420784 | − | 0.907161i | \(-0.638245\pi\) | ||||
−0.420784 | + | 0.907161i | \(0.638245\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −16.3923 | −0.604639 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −5.07180 | −0.186822 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −8.39230 | −0.308716 | −0.154358 | − | 0.988015i | \(-0.549331\pi\) | ||||
−0.154358 | + | 0.988015i | \(0.549331\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −5.85641 | −0.215140 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 41.9090 | 1.53749 | 0.768745 | − | 0.639555i | \(-0.220881\pi\) | ||||
0.768745 | + | 0.639555i | \(0.220881\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 20.7846 | 0.761489 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 23.3205 | 0.853253 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −5.32051 | −0.194407 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −15.2679 | −0.557135 | −0.278568 | − | 0.960417i | \(-0.589860\pi\) | ||||
−0.278568 | + | 0.960417i | \(0.589860\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 5.07180 | 0.184827 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −22.6410 | −0.823991 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −10.5359 | −0.382934 | −0.191467 | − | 0.981499i | \(-0.561324\pi\) | ||||
−0.191467 | + | 0.981499i | \(0.561324\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 16.3923 | 0.595003 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −4.39230 | −0.159221 | −0.0796105 | − | 0.996826i | \(-0.525368\pi\) | ||||
−0.0796105 | + | 0.996826i | \(0.525368\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 4.67949 | 0.169409 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −8.53590 | −0.308616 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 13.8564 | 0.500326 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −20.3923 | −0.735365 | −0.367683 | − | 0.929951i | \(-0.619849\pi\) | ||||
−0.367683 | + | 0.929951i | \(0.619849\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 5.56922 | 0.200571 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 35.3205 | 1.27039 | 0.635195 | − | 0.772352i | \(-0.280920\pi\) | ||||
0.635195 | + | 0.772352i | \(0.280920\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 43.3731 | 1.55801 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −6.14359 | −0.220400 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −32.7846 | −1.17463 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 10.3923 | 0.371866 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 13.8564 | 0.495188 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 6.92820 | 0.247278 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −1.12436 | −0.0400790 | −0.0200395 | − | 0.999799i | \(-0.506379\pi\) | ||||
−0.0200395 | + | 0.999799i | \(0.506379\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −17.0718 | −0.607772 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 5.75129 | 0.204492 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 10.9282 | 0.388072 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 2.35383 | 0.0834817 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −38.7846 | −1.37382 | −0.686911 | − | 0.726742i | \(-0.741034\pi\) | ||||
−0.686911 | + | 0.726742i | \(0.741034\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 6.92820 | 0.245102 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −23.3205 | −0.823990 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −9.46410 | −0.333981 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 12.0000 | 0.422944 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −15.0333 | −0.529198 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 19.8564 | 0.698114 | 0.349057 | − | 0.937101i | \(-0.386502\pi\) | ||||
0.349057 | + | 0.937101i | \(0.386502\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 35.3731 | 1.24212 | 0.621058 | − | 0.783764i | \(-0.286703\pi\) | ||||
0.621058 | + | 0.783764i | \(0.286703\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 10.9282 | 0.383269 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 36.6795 | 1.28483 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 67.7128 | 2.36897 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 2.64102 | 0.0922846 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 45.0333 | 1.57167 | 0.785837 | − | 0.618434i | \(-0.212233\pi\) | ||||
0.785837 | + | 0.618434i | \(0.212233\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 15.6603 | 0.545882 | 0.272941 | − | 0.962031i | \(-0.412004\pi\) | ||||
0.272941 | + | 0.962031i | \(0.412004\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 24.2487 | 0.844232 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 25.5167 | 0.887301 | 0.443651 | − | 0.896200i | \(-0.353683\pi\) | ||||
0.443651 | + | 0.896200i | \(0.353683\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −12.1436 | −0.421764 | −0.210882 | − | 0.977511i | \(-0.567634\pi\) | ||||
−0.210882 | + | 0.977511i | \(0.567634\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −10.5359 | −0.365486 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 6.46410 | 0.223968 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −40.3923 | −1.39783 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 24.7846 | 0.856681 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −49.5167 | −1.70950 | −0.854752 | − | 0.519036i | \(-0.826291\pi\) | ||||
−0.854752 | + | 0.519036i | \(0.826291\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −17.0000 | −0.586207 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −5.75129 | −0.198085 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 37.6077 | 1.29374 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −8.33975 | −0.286557 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 7.75129 | 0.266024 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −54.2487 | −1.85962 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 40.2487 | 1.37809 | 0.689045 | − | 0.724719i | \(-0.258030\pi\) | ||||
0.689045 | + | 0.724719i | \(0.258030\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 46.6410 | 1.59509 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −52.6410 | −1.79818 | −0.899091 | − | 0.437761i | \(-0.855772\pi\) | ||||
−0.899091 | + | 0.437761i | \(0.855772\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 7.32051 | 0.249773 | 0.124886 | − | 0.992171i | \(-0.460143\pi\) | ||||
0.124886 | + | 0.992171i | \(0.460143\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −3.21539 | −0.109580 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −37.8564 | −1.28865 | −0.644324 | − | 0.764753i | \(-0.722861\pi\) | ||||
−0.644324 | + | 0.764753i | \(0.722861\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −29.5692 | −1.00538 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −0.732051 | −0.0248617 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −8.53590 | −0.289561 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 1.56922 | 0.0531710 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −22.0000 | −0.744587 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 5.07180 | 0.171458 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −30.3923 | −1.02628 | −0.513138 | − | 0.858306i | \(-0.671517\pi\) | ||||
−0.513138 | + | 0.858306i | \(0.671517\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 21.9615 | 0.740744 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 2.78461 | 0.0938159 | 0.0469079 | − | 0.998899i | \(-0.485063\pi\) | ||||
0.0469079 | + | 0.998899i | \(0.485063\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 20.0000 | 0.673054 | 0.336527 | − | 0.941674i | \(-0.390748\pi\) | ||||
0.336527 | + | 0.941674i | \(0.390748\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 24.0000 | 0.806751 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −42.5885 | −1.42998 | −0.714990 | − | 0.699134i | \(-0.753569\pi\) | ||||
−0.714990 | + | 0.699134i | \(0.753569\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −14.9282 | −0.500676 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −21.1244 | −0.707693 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −37.8564 | −1.26682 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −74.3538 | −2.48537 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −5.07180 | −0.169342 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 21.4641 | 0.715868 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −0.928203 | −0.0309229 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 6.64102 | 0.220999 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 39.7128 | 1.32010 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −24.4449 | −0.811678 | −0.405839 | − | 0.913945i | \(-0.633021\pi\) | ||||
−0.405839 | + | 0.913945i | \(0.633021\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −23.3205 | −0.773492 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 26.1962 | 0.867917 | 0.433959 | − | 0.900933i | \(-0.357116\pi\) | ||||
0.433959 | + | 0.900933i | \(0.357116\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 44.7846 | 1.48215 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 18.9282 | 0.625747 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 8.53590 | 0.281880 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 52.0000 | 1.71532 | 0.857661 | − | 0.514216i | \(-0.171917\pi\) | ||||
0.857661 | + | 0.514216i | \(0.171917\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −12.2872 | −0.404877 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −3.21539 | −0.105836 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −80.2487 | −2.63856 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 7.21539 | 0.236985 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 45.7128 | 1.49979 | 0.749894 | − | 0.661558i | \(-0.230104\pi\) | ||||
0.749894 | + | 0.661558i | \(0.230104\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −35.3205 | −1.15758 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 15.4641 | 0.506272 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −16.3923 | −0.536086 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 27.8564 | 0.910029 | 0.455015 | − | 0.890484i | \(-0.349634\pi\) | ||||
0.455015 | + | 0.890484i | \(0.349634\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −5.17691 | −0.168942 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −6.67949 | −0.217745 | −0.108873 | − | 0.994056i | \(-0.534724\pi\) | ||||
−0.108873 | + | 0.994056i | \(0.534724\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −28.3923 | −0.924581 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 10.1436 | 0.329971 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 52.7321 | 1.71356 | 0.856781 | − | 0.515681i | \(-0.172461\pi\) | ||||
0.856781 | + | 0.515681i | \(0.172461\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 2.92820 | 0.0950535 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 11.3205 | 0.367093 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −42.2487 | −1.36857 | −0.684285 | − | 0.729215i | \(-0.739886\pi\) | ||||
−0.684285 | + | 0.729215i | \(0.739886\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 41.5692 | 1.34515 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 12.0000 | 0.387905 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −6.92820 | −0.223723 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 7.39230 | 0.238461 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −17.9090 | −0.577108 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −24.4974 | −0.788600 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −48.3923 | −1.55619 | −0.778096 | − | 0.628146i | \(-0.783814\pi\) | ||||
−0.778096 | + | 0.628146i | \(0.783814\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 4.00000 | 0.128499 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −56.1051 | −1.80050 | −0.900249 | − | 0.435374i | \(-0.856616\pi\) | ||||
−0.900249 | + | 0.435374i | \(0.856616\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 8.24871 | 0.264442 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −7.50258 | −0.240275 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −42.0000 | −1.34370 | −0.671850 | − | 0.740688i | \(-0.734500\pi\) | ||||
−0.671850 | + | 0.740688i | \(0.734500\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −44.7846 | −1.43132 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 15.7513 | 0.502900 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −29.9090 | −0.953948 | −0.476974 | − | 0.878917i | \(-0.658266\pi\) | ||||
−0.476974 | + | 0.878917i | \(0.658266\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −12.0000 | −0.382352 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −3.71281 | −0.118180 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 58.6410 | 1.86468 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −10.1962 | −0.323891 | −0.161946 | − | 0.986800i | \(-0.551777\pi\) | ||||
−0.161946 | + | 0.986800i | \(0.551777\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 11.2154 | 0.355910 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −21.4641 | −0.680458 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −42.3923 | −1.34258 | −0.671289 | − | 0.741196i | \(-0.734259\pi\) | ||||
−0.671289 | + | 0.741196i | \(0.734259\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −45.8564 | −1.45083 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))