Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1280,2,Mod(1,1280)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1280, 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("1280.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1280 = 2^{8} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1280.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: | \(10.2208514587\) |
Analytic rank: | \(1\) |
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 40) |
Fricke sign: | \(1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.1 | ||
Root | \(-1.73205\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1280.1 |
$q$-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 | ||||||||
\(3\) | −2.73205 | −1.57735 | −0.788675 | − | 0.614810i | \(-0.789233\pi\) | ||||
−0.788675 | + | 0.614810i | \(0.789233\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 1.00000 | 0.447214 | ||||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.732051 | 0.276689 | 0.138345 | − | 0.990384i | \(-0.455822\pi\) | ||||
0.138345 | + | 0.990384i | \(0.455822\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 4.46410 | 1.48803 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −2.00000 | −0.603023 | −0.301511 | − | 0.953463i | \(-0.597491\pi\) | ||||
−0.301511 | + | 0.953463i | \(0.597491\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.46410 | −0.960769 | −0.480384 | − | 0.877058i | \(-0.659503\pi\) | ||||
−0.480384 | + | 0.877058i | \(0.659503\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −2.73205 | −0.705412 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 3.46410 | 0.840168 | 0.420084 | − | 0.907485i | \(-0.362001\pi\) | ||||
0.420084 | + | 0.907485i | \(0.362001\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.535898 | −0.122944 | −0.0614718 | − | 0.998109i | \(-0.519579\pi\) | ||||
−0.0614718 | + | 0.998109i | \(0.519579\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −2.00000 | −0.436436 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −6.19615 | −1.29199 | −0.645994 | − | 0.763343i | \(-0.723557\pi\) | ||||
−0.645994 | + | 0.763343i | \(0.723557\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.00000 | 0.200000 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −4.00000 | −0.769800 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 6.92820 | 1.28654 | 0.643268 | − | 0.765641i | \(-0.277578\pi\) | ||||
0.643268 | + | 0.765641i | \(0.277578\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 5.46410 | 0.981382 | 0.490691 | − | 0.871334i | \(-0.336744\pi\) | ||||
0.490691 | + | 0.871334i | \(0.336744\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 5.46410 | 0.951178 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0.732051 | 0.123739 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2.00000 | 0.328798 | 0.164399 | − | 0.986394i | \(-0.447432\pi\) | ||||
0.164399 | + | 0.986394i | \(0.447432\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 9.46410 | 1.51547 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −1.46410 | −0.228654 | −0.114327 | − | 0.993443i | \(-0.536471\pi\) | ||||
−0.114327 | + | 0.993443i | \(0.536471\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −5.26795 | −0.803355 | −0.401677 | − | 0.915781i | \(-0.631573\pi\) | ||||
−0.401677 | + | 0.915781i | \(0.631573\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 4.46410 | 0.665469 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −3.26795 | −0.476679 | −0.238340 | − | 0.971182i | \(-0.576603\pi\) | ||||
−0.238340 | + | 0.971182i | \(0.576603\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −6.46410 | −0.923443 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −9.46410 | −1.32524 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −11.4641 | −1.57472 | −0.787358 | − | 0.616496i | \(-0.788551\pi\) | ||||
−0.787358 | + | 0.616496i | \(0.788551\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −2.00000 | −0.269680 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 1.46410 | 0.193925 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −7.46410 | −0.971743 | −0.485872 | − | 0.874030i | \(-0.661498\pi\) | ||||
−0.485872 | + | 0.874030i | \(0.661498\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −8.92820 | −1.14314 | −0.571570 | − | 0.820554i | \(-0.693665\pi\) | ||||
−0.571570 | + | 0.820554i | \(0.693665\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 3.26795 | 0.411723 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −3.46410 | −0.429669 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −10.7321 | −1.31113 | −0.655564 | − | 0.755139i | \(-0.727569\pi\) | ||||
−0.655564 | + | 0.755139i | \(0.727569\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 16.9282 | 2.03792 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 5.46410 | 0.648470 | 0.324235 | − | 0.945977i | \(-0.394893\pi\) | ||||
0.324235 | + | 0.945977i | \(0.394893\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −7.46410 | −0.873607 | −0.436804 | − | 0.899557i | \(-0.643889\pi\) | ||||
−0.436804 | + | 0.899557i | \(0.643889\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −2.73205 | −0.315470 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −1.46410 | −0.166850 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 1.07180 | 0.120587 | 0.0602933 | − | 0.998181i | \(-0.480796\pi\) | ||||
0.0602933 | + | 0.998181i | \(0.480796\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −2.46410 | −0.273789 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −1.26795 | −0.139176 | −0.0695878 | − | 0.997576i | \(-0.522168\pi\) | ||||
−0.0695878 | + | 0.997576i | \(0.522168\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 3.46410 | 0.375735 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −18.9282 | −2.02932 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −8.92820 | −0.946388 | −0.473194 | − | 0.880958i | \(-0.656899\pi\) | ||||
−0.473194 | + | 0.880958i | \(0.656899\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −2.53590 | −0.265834 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −14.9282 | −1.54798 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −0.535898 | −0.0549820 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −14.3923 | −1.46132 | −0.730659 | − | 0.682743i | \(-0.760787\pi\) | ||||
−0.730659 | + | 0.682743i | \(0.760787\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −8.92820 | −0.897318 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −2.92820 | −0.291367 | −0.145684 | − | 0.989331i | \(-0.546538\pi\) | ||||
−0.145684 | + | 0.989331i | \(0.546538\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 15.6603 | 1.54305 | 0.771525 | − | 0.636199i | \(-0.219494\pi\) | ||||
0.771525 | + | 0.636199i | \(0.219494\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −2.00000 | −0.195180 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 2.73205 | 0.264117 | 0.132059 | − | 0.991242i | \(-0.457841\pi\) | ||||
0.132059 | + | 0.991242i | \(0.457841\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 16.9282 | 1.62143 | 0.810714 | − | 0.585443i | \(-0.199079\pi\) | ||||
0.810714 | + | 0.585443i | \(0.199079\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −5.46410 | −0.518630 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −12.9282 | −1.21618 | −0.608092 | − | 0.793867i | \(-0.708065\pi\) | ||||
−0.608092 | + | 0.793867i | \(0.708065\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −6.19615 | −0.577794 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −15.4641 | −1.42966 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 2.53590 | 0.232465 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −7.00000 | −0.636364 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 4.00000 | 0.360668 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 1.00000 | 0.0894427 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −16.7321 | −1.48473 | −0.742365 | − | 0.669996i | \(-0.766296\pi\) | ||||
−0.742365 | + | 0.669996i | \(0.766296\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 14.3923 | 1.26717 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 19.8564 | 1.73486 | 0.867431 | − | 0.497557i | \(-0.165770\pi\) | ||||
0.867431 | + | 0.497557i | \(0.165770\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.392305 | −0.0340171 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −4.00000 | −0.344265 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −4.92820 | −0.421045 | −0.210522 | − | 0.977589i | \(-0.567516\pi\) | ||||
−0.210522 | + | 0.977589i | \(0.567516\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −0.535898 | −0.0454543 | −0.0227272 | − | 0.999742i | \(-0.507235\pi\) | ||||
−0.0227272 | + | 0.999742i | \(0.507235\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 8.92820 | 0.751890 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 6.92820 | 0.579365 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 6.92820 | 0.575356 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 17.6603 | 1.45659 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 7.85641 | 0.643622 | 0.321811 | − | 0.946804i | \(-0.395708\pi\) | ||||
0.321811 | + | 0.946804i | \(0.395708\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −12.3923 | −1.00847 | −0.504236 | − | 0.863566i | \(-0.668226\pi\) | ||||
−0.504236 | + | 0.863566i | \(0.668226\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 15.4641 | 1.25020 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 5.46410 | 0.438887 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −3.07180 | −0.245156 | −0.122578 | − | 0.992459i | \(-0.539116\pi\) | ||||
−0.122578 | + | 0.992459i | \(0.539116\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 31.3205 | 2.48388 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −4.53590 | −0.357479 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 0.196152 | 0.0153638 | 0.00768192 | − | 0.999970i | \(-0.497555\pi\) | ||||
0.00768192 | + | 0.999970i | \(0.497555\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 5.46410 | 0.425380 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −9.80385 | −0.758645 | −0.379322 | − | 0.925265i | \(-0.623843\pi\) | ||||
−0.379322 | + | 0.925265i | \(0.623843\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −1.00000 | −0.0769231 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −2.39230 | −0.182944 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 2.00000 | 0.152057 | 0.0760286 | − | 0.997106i | \(-0.475776\pi\) | ||||
0.0760286 | + | 0.997106i | \(0.475776\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.732051 | 0.0553378 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 20.3923 | 1.53278 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 8.53590 | 0.638003 | 0.319002 | − | 0.947754i | \(-0.396652\pi\) | ||||
0.319002 | + | 0.947754i | \(0.396652\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −16.0000 | −1.18927 | −0.594635 | − | 0.803996i | \(-0.702704\pi\) | ||||
−0.594635 | + | 0.803996i | \(0.702704\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 24.3923 | 1.80313 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 2.00000 | 0.147043 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −6.92820 | −0.506640 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −2.92820 | −0.212995 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −15.3205 | −1.10855 | −0.554277 | − | 0.832333i | \(-0.687005\pi\) | ||||
−0.554277 | + | 0.832333i | \(0.687005\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 0.535898 | 0.0385748 | 0.0192874 | − | 0.999814i | \(-0.493860\pi\) | ||||
0.0192874 | + | 0.999814i | \(0.493860\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 9.46410 | 0.677738 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 19.4641 | 1.38676 | 0.693380 | − | 0.720572i | \(-0.256121\pi\) | ||||
0.693380 | + | 0.720572i | \(0.256121\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −1.85641 | −0.131597 | −0.0657986 | − | 0.997833i | \(-0.520959\pi\) | ||||
−0.0657986 | + | 0.997833i | \(0.520959\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 29.3205 | 2.06811 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 5.07180 | 0.355970 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −1.46410 | −0.102257 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −27.6603 | −1.92252 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 1.07180 | 0.0741377 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −26.7846 | −1.84393 | −0.921964 | − | 0.387275i | \(-0.873416\pi\) | ||||
−0.921964 | + | 0.387275i | \(0.873416\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −14.9282 | −1.02286 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −5.26795 | −0.359271 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 4.00000 | 0.271538 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 20.3923 | 1.37798 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −12.0000 | −0.807207 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 5.80385 | 0.388654 | 0.194327 | − | 0.980937i | \(-0.437748\pi\) | ||||
0.194327 | + | 0.980937i | \(0.437748\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 4.46410 | 0.297607 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −10.0526 | −0.667212 | −0.333606 | − | 0.942713i | \(-0.608265\pi\) | ||||
−0.333606 | + | 0.942713i | \(0.608265\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 4.00000 | 0.264327 | 0.132164 | − | 0.991228i | \(-0.457808\pi\) | ||||
0.132164 | + | 0.991228i | \(0.457808\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 4.00000 | 0.263181 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 5.32051 | 0.348558 | 0.174279 | − | 0.984696i | \(-0.444241\pi\) | ||||
0.174279 | + | 0.984696i | \(0.444241\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −3.26795 | −0.213177 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −2.92820 | −0.190207 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 20.0000 | 1.29369 | 0.646846 | − | 0.762620i | \(-0.276088\pi\) | ||||
0.646846 | + | 0.762620i | \(0.276088\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 16.3923 | 1.05592 | 0.527961 | − | 0.849269i | \(-0.322957\pi\) | ||||
0.527961 | + | 0.849269i | \(0.322957\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 18.7321 | 1.20166 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −6.46410 | −0.412976 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 1.85641 | 0.118120 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 3.46410 | 0.219529 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 24.9282 | 1.57345 | 0.786727 | − | 0.617301i | \(-0.211774\pi\) | ||||
0.786727 | + | 0.617301i | \(0.211774\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 12.3923 | 0.779098 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −9.46410 | −0.592665 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −2.00000 | −0.124757 | −0.0623783 | − | 0.998053i | \(-0.519869\pi\) | ||||
−0.0623783 | + | 0.998053i | \(0.519869\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 1.46410 | 0.0909748 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 30.9282 | 1.91441 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −11.6603 | −0.719002 | −0.359501 | − | 0.933145i | \(-0.617053\pi\) | ||||
−0.359501 | + | 0.933145i | \(0.617053\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −11.4641 | −0.704234 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 24.3923 | 1.49278 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −8.92820 | −0.544362 | −0.272181 | − | 0.962246i | \(-0.587745\pi\) | ||||
−0.272181 | + | 0.962246i | \(0.587745\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 19.3205 | 1.17364 | 0.586819 | − | 0.809718i | \(-0.300380\pi\) | ||||
0.586819 | + | 0.809718i | \(0.300380\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 6.92820 | 0.419314 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −2.00000 | −0.120605 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −2.00000 | −0.120168 | −0.0600842 | − | 0.998193i | \(-0.519137\pi\) | ||||
−0.0600842 | + | 0.998193i | \(0.519137\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 24.3923 | 1.46033 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −10.5359 | −0.628519 | −0.314260 | − | 0.949337i | \(-0.601756\pi\) | ||||
−0.314260 | + | 0.949337i | \(0.601756\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −9.66025 | −0.574242 | −0.287121 | − | 0.957894i | \(-0.592698\pi\) | ||||
−0.287121 | + | 0.957894i | \(0.592698\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 1.46410 | 0.0867259 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −1.07180 | −0.0632662 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −5.00000 | −0.294118 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 39.3205 | 2.30501 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 15.8564 | 0.926341 | 0.463171 | − | 0.886269i | \(-0.346712\pi\) | ||||
0.463171 | + | 0.886269i | \(0.346712\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −7.46410 | −0.434577 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 8.00000 | 0.464207 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 21.4641 | 1.24130 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −3.85641 | −0.222280 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 8.00000 | 0.459588 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −8.92820 | −0.511227 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 24.9808 | 1.42573 | 0.712864 | − | 0.701303i | \(-0.247398\pi\) | ||||
0.712864 | + | 0.701303i | \(0.247398\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −42.7846 | −2.43393 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 31.3205 | 1.77602 | 0.888012 | − | 0.459821i | \(-0.152086\pi\) | ||||
0.888012 | + | 0.459821i | \(0.152086\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 4.14359 | 0.234210 | 0.117105 | − | 0.993120i | \(-0.462639\pi\) | ||||
0.117105 | + | 0.993120i | \(0.462639\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 3.26795 | 0.184128 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 8.53590 | 0.479424 | 0.239712 | − | 0.970844i | \(-0.422947\pi\) | ||||
0.239712 | + | 0.970844i | \(0.422947\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −13.8564 | −0.775810 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −7.46410 | −0.416606 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −1.85641 | −0.103293 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −3.46410 | −0.192154 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −46.2487 | −2.55756 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −2.39230 | −0.131892 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −14.0000 | −0.769510 | −0.384755 | − | 0.923019i | \(-0.625714\pi\) | ||||
−0.384755 | + | 0.923019i | \(0.625714\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 8.92820 | 0.489263 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −10.7321 | −0.586355 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −19.8564 | −1.08165 | −0.540824 | − | 0.841136i | \(-0.681887\pi\) | ||||
−0.540824 | + | 0.841136i | \(0.681887\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 35.3205 | 1.91835 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −10.9282 | −0.591795 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −9.85641 | −0.532196 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 16.9282 | 0.911384 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −1.66025 | −0.0891271 | −0.0445636 | − | 0.999007i | \(-0.514190\pi\) | ||||
−0.0445636 | + | 0.999007i | \(0.514190\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −28.0000 | −1.49881 | −0.749403 | − | 0.662114i | \(-0.769659\pi\) | ||||
−0.749403 | + | 0.662114i | \(0.769659\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 13.8564 | 0.739600 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 12.9282 | 0.688099 | 0.344049 | − | 0.938952i | \(-0.388201\pi\) | ||||
0.344049 | + | 0.938952i | \(0.388201\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 5.46410 | 0.290004 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −6.92820 | −0.366679 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 18.9282 | 0.998992 | 0.499496 | − | 0.866316i | \(-0.333518\pi\) | ||||
0.499496 | + | 0.866316i | \(0.333518\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −18.7128 | −0.984885 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 19.1244 | 1.00377 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −7.46410 | −0.390689 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −2.87564 | −0.150107 | −0.0750537 | − | 0.997179i | \(-0.523913\pi\) | ||||
−0.0750537 | + | 0.997179i | \(0.523913\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −6.53590 | −0.340245 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −8.39230 | −0.435707 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 25.7128 | 1.33136 | 0.665679 | − | 0.746238i | \(-0.268142\pi\) | ||||
0.665679 | + | 0.746238i | \(0.268142\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −2.73205 | −0.141082 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −24.0000 | −1.23606 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −36.2487 | −1.86197 | −0.930986 | − | 0.365056i | \(-0.881050\pi\) | ||||
−0.930986 | + | 0.365056i | \(0.881050\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 45.7128 | 2.34194 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −21.1244 | −1.07940 | −0.539702 | − | 0.841856i | \(-0.681463\pi\) | ||||
−0.539702 | + | 0.841856i | \(0.681463\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −1.46410 | −0.0746175 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −23.5167 | −1.19542 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −6.78461 | −0.343993 | −0.171997 | − | 0.985098i | \(-0.555022\pi\) | ||||
−0.171997 | + | 0.985098i | \(0.555022\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −21.4641 | −1.08549 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −54.2487 | −2.73649 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 1.07180 | 0.0539279 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 32.2487 | 1.61852 | 0.809258 | − | 0.587453i | \(-0.199869\pi\) | ||||
0.809258 | + | 0.587453i | \(0.199869\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 1.07180 | 0.0536570 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −7.85641 | −0.392330 | −0.196165 | − | 0.980571i | \(-0.562849\pi\) | ||||
−0.196165 | + | 0.980571i | \(0.562849\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −18.9282 | −0.942881 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −2.46410 | −0.122442 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −4.00000 | −0.198273 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 11.3205 | 0.559763 | 0.279882 | − | 0.960035i | \(-0.409705\pi\) | ||||
0.279882 | + | 0.960035i | \(0.409705\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 13.4641 | 0.664135 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −5.46410 | −0.268871 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −1.26795 | −0.0622412 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 1.46410 | 0.0716974 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −18.3923 | −0.898523 | −0.449261 | − | 0.893400i | \(-0.648313\pi\) | ||||
−0.449261 | + | 0.893400i | \(0.648313\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −0.143594 | −0.00699832 | −0.00349916 | − | 0.999994i | \(-0.501114\pi\) | ||||
−0.00349916 | + | 0.999994i | \(0.501114\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −14.5885 | −0.709315 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 3.46410 | 0.168034 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −6.53590 | −0.316294 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −18.9282 | −0.913862 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 21.4641 | 1.03389 | 0.516945 | − | 0.856019i | \(-0.327069\pi\) | ||||
0.516945 | + | 0.856019i | \(0.327069\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −19.4641 | −0.935385 | −0.467693 | − | 0.883891i | \(-0.654915\pi\) | ||||
−0.467693 | + | 0.883891i | \(0.654915\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −18.9282 | −0.907538 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 3.32051 | 0.158841 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 40.7846 | 1.94654 | 0.973272 | − | 0.229657i | \(-0.0737605\pi\) | ||||
0.973272 | + | 0.229657i | \(0.0737605\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −28.8564 | −1.37411 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 20.9808 | 0.996826 | 0.498413 | − | 0.866940i | \(-0.333916\pi\) | ||||
0.498413 | + | 0.866940i | \(0.333916\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −8.92820 | −0.423237 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −21.4641 | −1.01522 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −23.3205 | −1.10056 | −0.550281 | − | 0.834979i | \(-0.685480\pi\) | ||||
−0.550281 | + | 0.834979i | \(0.685480\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 2.92820 | 0.137884 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 33.8564 | 1.59071 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −2.53590 | −0.118885 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 26.7846 | 1.25293 | 0.626466 | − | 0.779449i | \(-0.284501\pi\) | ||||
0.626466 | + | 0.779449i | \(0.284501\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −13.8564 | −0.646762 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −10.9282 | −0.508977 | −0.254489 | − | 0.967076i | \(-0.581907\pi\) | ||||
−0.254489 | + | 0.967076i | \(0.581907\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 11.2679 | 0.523666 | 0.261833 | − | 0.965113i | \(-0.415673\pi\) | ||||
0.261833 | + | 0.965113i | \(0.415673\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −14.9282 | −0.692279 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 25.6603 | 1.18741 | 0.593707 | − | 0.804681i | \(-0.297664\pi\) | ||||
0.593707 | + | 0.804681i | \(0.297664\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −7.85641 | −0.362775 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 8.39230 | 0.386697 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 10.5359 | 0.484441 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.535898 | −0.0245887 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −51.1769 | −2.34323 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −5.85641 | −0.267586 | −0.133793 | − | 0.991009i | \(-0.542716\pi\) | ||||
−0.133793 | + | 0.991009i | \(0.542716\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −6.92820 | −0.315899 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 12.3923 | 0.563869 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −14.3923 | −0.653521 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 6.58846 | 0.298551 | 0.149276 | − | 0.988796i | \(-0.452306\pi\) | ||||
0.149276 | + | 0.988796i | \(0.452306\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −0.535898 | −0.0242342 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −16.9282 | −0.763959 | −0.381980 | − | 0.924171i | \(-0.624758\pi\) | ||||
−0.381980 | + | 0.924171i | \(0.624758\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 24.0000 | 1.08091 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −8.92820 | −0.401293 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 4.00000 | 0.179425 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −31.4641 | −1.40853 | −0.704263 | − | 0.709939i | \(-0.748723\pi\) | ||||
−0.704263 | + | 0.709939i | \(0.748723\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 26.7846 | 1.19665 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −0.339746 | −0.0151485 | −0.00757426 | − | 0.999971i | \(-0.502411\pi\) | ||||
−0.00757426 | + | 0.999971i | \(0.502411\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −2.92820 | −0.130303 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 2.73205 | 0.121335 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −1.85641 | −0.0822838 | −0.0411419 | − | 0.999153i | \(-0.513100\pi\) | ||||
−0.0411419 | + | 0.999153i | \(0.513100\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −5.46410 | −0.241718 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 2.14359 | 0.0946420 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 15.6603 | 0.690073 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 6.53590 | 0.287448 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −5.46410 | −0.239847 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 43.8564 | 1.92138 | 0.960692 | − | 0.277616i | \(-0.0895444\pi\) | ||||
0.960692 | + | 0.277616i | \(0.0895444\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −11.8038 | −0.516146 | −0.258073 | − | 0.966125i | \(-0.583088\pi\) | ||||
−0.258073 | + | 0.966125i | \(0.583088\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −2.00000 | −0.0872872 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 18.9282 | 0.824525 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 15.3923 | 0.669231 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −33.3205 | −1.44599 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 5.07180 | 0.219684 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 2.73205 | 0.118117 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −23.3205 | −1.00635 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 12.9282 | 0.556857 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −26.9282 | −1.15773 | −0.578867 | − | 0.815422i | \(-0.696505\pi\) | ||||
−0.578867 | + | 0.815422i | \(0.696505\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 43.7128 | 1.87590 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 16.9282 | 0.725125 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −33.2679 | −1.42243 | −0.711217 | − | 0.702972i | \(-0.751856\pi\) | ||||
−0.711217 | + | 0.702972i | \(0.751856\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −39.8564 | −1.70103 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −3.71281 | −0.158171 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.784610 | 0.0333650 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −5.46410 | −0.231938 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 14.7846 | 0.626444 | 0.313222 | − | 0.949680i | \(-0.398592\pi\) | ||||
0.313222 | + | 0.949680i | \(0.398592\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 18.2487 | 0.771838 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 18.9282 | 0.799149 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 22.0526 | 0.929405 | 0.464702 | − | 0.885467i | \(-0.346161\pi\) | ||||
0.464702 | + | 0.885467i | \(0.346161\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −12.9282 | −0.543894 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −1.80385 | −0.0757545 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 13.4641 | 0.564445 | 0.282222 | − | 0.959349i | \(-0.408928\pi\) | ||||
0.282222 | + | 0.959349i | \(0.408928\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 6.78461 | 0.283927 | 0.141964 | − | 0.989872i | \(-0.454658\pi\) | ||||
0.141964 | + | 0.989872i | \(0.454658\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 41.8564 | 1.74858 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −6.19615 | −0.258397 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 39.5692 | 1.64729 | 0.823644 | − | 0.567107i | \(-0.191937\pi\) | ||||
0.823644 | + | 0.567107i | \(0.191937\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −1.46410 | −0.0608460 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −0.928203 | −0.0385084 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 22.9282 | 0.949589 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −15.4641 | −0.639362 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −3.80385 | −0.157002 | −0.0785008 | − | 0.996914i | \(-0.525013\pi\) | ||||
−0.0785008 | + | 0.996914i | \(0.525013\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −2.92820 | −0.120655 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −53.1769 | −2.18741 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 32.6410 | 1.34041 | 0.670203 | − | 0.742178i | \(-0.266207\pi\) | ||||
0.670203 | + | 0.742178i | \(0.266207\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 2.53590 | 0.103962 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 5.07180 | 0.207575 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −34.6410 | −1.41539 | −0.707697 | − | 0.706516i | \(-0.750266\pi\) | ||||
−0.707697 | + | 0.706516i | \(0.750266\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −18.5359 | −0.756095 | −0.378048 | − | 0.925786i | \(-0.623404\pi\) | ||||
−0.378048 | + | 0.925786i | \(0.623404\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −47.9090 | −1.95100 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −7.00000 | −0.284590 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −30.9808 | −1.25747 | −0.628735 | − | 0.777619i | \(-0.716427\pi\) | ||||
−0.628735 | + | 0.777619i | \(0.716427\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −13.8564 | −0.561490 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 11.3205 | 0.457979 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −26.3923 | −1.06598 | −0.532988 | − | 0.846123i | \(-0.678931\pi\) | ||||
−0.532988 | + | 0.846123i | \(0.678931\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 4.00000 | 0.161296 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 20.5359 | 0.826744 | 0.413372 | − | 0.910562i | \(-0.364351\pi\) | ||||
0.413372 | + | 0.910562i | \(0.364351\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 1.32051 | 0.0530757 | 0.0265379 | − | 0.999648i | \(-0.491552\pi\) | ||||
0.0265379 | + | 0.999648i | \(0.491552\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 24.7846 | 0.994572 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −6.53590 | −0.261855 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 1.00000 | 0.0400000 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −2.92820 | −0.116941 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 6.92820 | 0.276246 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −23.3205 | −0.928375 | −0.464187 | − | 0.885737i | \(-0.653654\pi\) | ||||
−0.464187 | + | 0.885737i | \(0.653654\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 73.1769 | 2.90852 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −16.7321 | −0.663991 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 22.3923 | 0.887215 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 24.3923 | 0.964945 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 0.392305 | 0.0154951 | 0.00774755 | − | 0.999970i | \(-0.497534\pi\) | ||||
0.00774755 | + | 0.999970i | \(0.497534\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −39.1244 | −1.54291 | −0.771457 | − | 0.636281i | \(-0.780472\pi\) | ||||
−0.771457 | + | 0.636281i | \(0.780472\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 14.3923 | 0.566696 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 16.7321 | 0.657805 | 0.328902 | − | 0.944364i | \(-0.393321\pi\) | ||||
0.328902 | + | 0.944364i | \(0.393321\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 14.9282 | 0.585983 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −10.9282 | −0.428310 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 12.2487 | 0.479329 | 0.239665 | − | 0.970856i | \(-0.422963\pi\) | ||||
0.239665 | + | 0.970856i | \(0.422963\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 19.8564 | 0.775854 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −33.3205 | −1.29996 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 17.3205 | 0.674711 | 0.337356 | − | 0.941377i | \(-0.390468\pi\) | ||||
0.337356 | + | 0.941377i | \(0.390468\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 8.14359 | 0.316749 | 0.158375 | − | 0.987379i | \(-0.449375\pi\) | ||||
0.158375 | + | 0.987379i | \(0.449375\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 32.7846 | 1.27325 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −0.392305 | −0.0152129 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −42.9282 | −1.66219 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −15.8564 | −0.613044 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 17.8564 | 0.689339 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 12.5359 | 0.483223 | 0.241612 | − | 0.970373i | \(-0.422324\pi\) | ||||
0.241612 | + | 0.970373i | \(0.422324\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −4.00000 | −0.153960 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −17.6077 | −0.676719 | −0.338359 | − | 0.941017i | \(-0.609872\pi\) | ||||
−0.338359 | + | 0.941017i | \(0.609872\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −10.5359 | −0.404331 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 27.4641 | 1.05243 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −16.9808 | −0.649751 | −0.324875 | − | 0.945757i | \(-0.605322\pi\) | ||||
−0.324875 | + | 0.945757i | \(0.605322\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −4.92820 | −0.188297 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −10.9282 | −0.416937 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 39.7128 | 1.51294 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −18.0000 | −0.684752 | −0.342376 | − | 0.939563i | \(-0.611232\pi\) | ||||
−0.342376 | + | 0.939563i | \(0.611232\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −6.53590 | −0.248278 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −0.535898 | −0.0203278 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −5.07180 | −0.192108 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −14.5359 | −0.549798 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 19.0718 | 0.720332 | 0.360166 | − | 0.932888i | \(-0.382720\pi\) | ||||
0.360166 | + | 0.932888i | \(0.382720\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −1.07180 | −0.0404236 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 8.92820 | 0.336256 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −2.14359 | −0.0806181 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 12.7846 | 0.480136 | 0.240068 | − | 0.970756i | \(-0.422830\pi\) | ||||
0.240068 | + | 0.970756i | \(0.422830\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 4.78461 | 0.179437 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −33.8564 | −1.26793 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 6.92820 | 0.259100 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −54.6410 | −2.04061 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 1.85641 | 0.0692323 | 0.0346161 | − | 0.999401i | \(-0.488979\pi\) | ||||
0.0346161 | + | 0.999401i | \(0.488979\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 11.4641 | 0.426945 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −44.7846 | −1.66556 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 6.92820 | 0.257307 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −24.0526 | −0.892060 | −0.446030 | − | 0.895018i | \(-0.647163\pi\) | ||||
−0.446030 | + | 0.895018i | \(0.647163\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −43.7846 | −1.62165 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −18.2487 | −0.674953 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −35.0718 | −1.29541 | −0.647703 | − | 0.761893i | \(-0.724270\pi\) | ||||
−0.647703 | + | 0.761893i | \(0.724270\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 17.6603 | 0.651408 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 21.4641 | 0.790640 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −29.3205 | −1.07857 | −0.539286 | − | 0.842123i | \(-0.681306\pi\) | ||||
−0.539286 | + | 0.842123i | \(0.681306\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −5.07180 | −0.186317 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 10.9808 | 0.402845 | 0.201423 | − | 0.979504i | \(-0.435444\pi\) | ||||
0.201423 | + | 0.979504i | \(0.435444\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 7.85641 | 0.287836 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −5.66025 | −0.207098 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 2.00000 | 0.0730784 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −26.2487 | −0.957829 | −0.478915 | − | 0.877862i | \(-0.658970\pi\) | ||||
−0.478915 | + | 0.877862i | \(0.658970\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −68.1051 | −2.48189 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −12.3923 | −0.451002 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 19.0718 | 0.693176 | 0.346588 | − | 0.938017i | \(-0.387340\pi\) | ||||
0.346588 | + | 0.938017i | \(0.387340\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −33.8564 | −1.22891 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 5.71281 | 0.207089 | 0.103545 | − | 0.994625i | \(-0.466982\pi\) | ||||
0.103545 | + | 0.994625i | \(0.466982\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 12.3923 | 0.448632 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 15.4641 | 0.559106 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 25.8564 | 0.933621 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 12.9282 | 0.466203 | 0.233101 | − | 0.972452i | \(-0.425113\pi\) | ||||
0.233101 | + | 0.972452i | \(0.425113\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 5.46410 | 0.196785 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 22.3923 | 0.805395 | 0.402698 | − | 0.915333i | \(-0.368073\pi\) | ||||
0.402698 | + | 0.915333i | \(0.368073\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 5.46410 | 0.196276 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −4.00000 | −0.143499 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 0.784610 | 0.0281116 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −10.9282 | −0.391042 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −27.7128 | −0.990375 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −3.07180 | −0.109637 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −16.5885 | −0.591315 | −0.295657 | − | 0.955294i | \(-0.595539\pi\) | ||||
−0.295657 | + | 0.955294i | \(0.595539\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 31.8564 | 1.13412 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −9.46410 | −0.336505 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 30.9282 | 1.09829 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 31.3205 | 1.11082 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 50.1051 | 1.77481 | 0.887407 | − | 0.460986i | \(-0.152504\pi\) | ||||
0.887407 | + | 0.460986i | \(0.152504\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −11.3205 | −0.400491 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −39.8564 | −1.40826 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 14.9282 | 0.526805 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −4.53590 | −0.159869 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 24.3923 | 0.858650 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −23.8564 | −0.838747 | −0.419373 | − | 0.907814i | \(-0.637750\pi\) | ||||
−0.419373 | + | 0.907814i | \(0.637750\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −28.9282 | −1.01581 | −0.507903 | − | 0.861414i | \(-0.669579\pi\) | ||||
−0.507903 | + | 0.861414i | \(0.669579\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −52.7846 | −1.85124 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 0.196152 | 0.00687092 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 2.82309 | 0.0987673 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −11.3205 | −0.395571 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −34.7846 | −1.21399 | −0.606996 | − | 0.794705i | \(-0.707625\pi\) | ||||
−0.606996 | + | 0.794705i | \(0.707625\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −9.12436 | −0.318055 | −0.159028 | − | 0.987274i | \(-0.550836\pi\) | ||||
−0.159028 | + | 0.987274i | \(0.550836\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 5.46410 | 0.190236 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 23.1244 | 0.804113 | 0.402056 | − | 0.915615i | \(-0.368296\pi\) | ||||
0.402056 | + | 0.915615i | \(0.368296\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 28.9282 | 1.00472 | 0.502359 | − | 0.864659i | \(-0.332466\pi\) | ||||
0.502359 | + | 0.864659i | \(0.332466\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 5.46410 | 0.189548 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −22.3923 | −0.775847 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −9.80385 | −0.339276 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −21.8564 | −0.755468 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 24.7846 | 0.855660 | 0.427830 | − | 0.903859i | \(-0.359278\pi\) | ||||
0.427830 | + | 0.903859i | \(0.359278\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 19.0000 | 0.655172 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 28.7846 | 0.991395 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −1.00000 | −0.0344010 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −5.12436 | −0.176075 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 26.3923 | 0.905782 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −12.3923 | −0.424803 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 21.6077 | 0.739833 | 0.369917 | − | 0.929065i | \(-0.379386\pi\) | ||||
0.369917 | + | 0.929065i | \(0.379386\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −2.39230 | −0.0818151 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 19.8564 | 0.678282 | 0.339141 | − | 0.940736i | \(-0.389864\pi\) | ||||
0.339141 | + | 0.940736i | \(0.389864\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 28.2487 | 0.963834 | 0.481917 | − | 0.876217i | \(-0.339941\pi\) | ||||
0.481917 | + | 0.876217i | \(0.339941\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 2.92820 | 0.0997929 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −47.6603 | −1.62237 | −0.811187 | − | 0.584787i | \(-0.801178\pi\) | ||||
−0.811187 | + | 0.584787i | \(0.801178\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 2.00000 | 0.0680020 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 13.6603 | 0.463927 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −2.14359 | −0.0727164 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 37.1769 | 1.25969 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −64.2487 | −2.17449 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 0.732051 | 0.0247478 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −1.71281 | −0.0578376 | −0.0289188 | − | 0.999582i | \(-0.509206\pi\) | ||||
−0.0289188 | + | 0.999582i | \(0.509206\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −43.3205 | −1.46116 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 9.46410 | 0.318854 | 0.159427 | − | 0.987210i | \(-0.449035\pi\) | ||||
0.159427 | + | 0.987210i | \(0.449035\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 27.9090 | 0.939211 | 0.469606 | − | 0.882876i | \(-0.344396\pi\) | ||||
0.469606 | + | 0.882876i | \(0.344396\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 20.3923 | 0.685480 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −13.9090 | −0.467017 | −0.233509 | − | 0.972355i | \(-0.575021\pi\) | ||||
−0.233509 | + | 0.972355i | \(0.575021\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −12.2487 | −0.410809 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 4.92820 | 0.165101 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 1.75129 | 0.0586046 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 8.53590 | 0.285324 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −58.6410 | −1.95797 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 37.8564 | 1.26258 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −39.7128 | −1.32303 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 10.5359 | 0.350613 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −16.0000 | −0.531858 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 4.87564 | 0.161893 | 0.0809466 | − | 0.996718i | \(-0.474206\pi\) | ||||
0.0809466 | + | 0.996718i | \(0.474206\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −13.0718 | −0.433564 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 49.1769 | 1.62930 | 0.814652 | − | 0.579950i | \(-0.196928\pi\) | ||||
0.814652 | + | 0.579950i | \(0.196928\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 2.53590 | 0.0839260 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 24.3923 | 0.806385 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 14.5359 | 0.480018 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −38.9282 | −1.28412 | −0.642061 | − | 0.766653i | \(-0.721921\pi\) | ||||
−0.642061 | + | 0.766653i | \(0.721921\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −68.2487 | −2.24887 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −18.9282 | −0.623029 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 2.00000 | 0.0657596 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 69.9090 | 2.29611 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −17.4641 | −0.572979 | −0.286489 | − | 0.958083i | \(-0.592488\pi\) | ||||
−0.286489 | + | 0.958083i | \(0.592488\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 3.46410 | 0.113531 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −85.5692 | −2.80141 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −6.92820 | −0.226576 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −4.24871 | −0.138799 | −0.0693997 | − | 0.997589i | \(-0.522108\pi\) | ||||
−0.0693997 | + | 0.997589i | \(0.522108\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −11.3205 | −0.369431 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −32.0000 | −1.04317 | −0.521585 | − | 0.853199i | \(-0.674659\pi\) | ||||
−0.521585 | + | 0.853199i | \(0.674659\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 9.07180 | 0.295418 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −2.92820 | −0.0952545 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 3.12436 | 0.101528 | 0.0507640 | − | 0.998711i | \(-0.483834\pi\) | ||||
0.0507640 | + | 0.998711i | \(0.483834\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 25.8564 | 0.839334 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −23.3205 | −0.756219 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 17.2154 | 0.557661 | 0.278831 | − | 0.960340i | \(-0.410053\pi\) | ||||
0.278831 | + | 0.960340i | \(0.410053\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −15.3205 | −0.495760 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 37.8564 | 1.22372 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −3.60770 | −0.116499 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −1.14359 | −0.0368901 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 12.1962 | 0.393016 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 0.535898 | 0.0172512 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 16.3397 | 0.525451 | 0.262725 | − | 0.964871i | \(-0.415379\pi\) | ||||
0.262725 | + | 0.964871i | \(0.415379\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 5.07180 | 0.162930 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 36.9282 | 1.18508 | 0.592541 | − | 0.805540i | \(-0.298125\pi\) | ||||
0.592541 | + | 0.805540i | \(0.298125\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −0.392305 | −0.0125767 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 9.46410 | 0.303094 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −24.5359 | −0.784973 | −0.392486 | − | 0.919758i | \(-0.628385\pi\) | ||||
−0.392486 | + | 0.919758i | \(0.628385\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 17.8564 | 0.570693 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 75.5692 | 2.41274 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −48.7321 | −1.55431 | −0.777156 | − | 0.629309i | \(-0.783338\pi\) | ||||
−0.777156 | + | 0.629309i | \(0.783338\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 19.4641 | 0.620178 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 6.53590 | 0.208040 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 32.6410 | 1.03792 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −41.4641 | −1.31715 | −0.658575 | − | 0.752515i | \(-0.728841\pi\) | ||||
−0.658575 | + | 0.752515i | \(0.728841\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 38.2487 | 1.21379 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −1.85641 | −0.0588520 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 11.1769 | 0.353976 | 0.176988 | − | 0.984213i | \(-0.443365\pi\) | ||||
0.176988 | + | 0.984213i | \(0.443365\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −8.00000 | −0.253109 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))