Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [5796,2,Mod(1,5796)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(5796, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 0, 0, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("5796.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 5796 = 2^{2} \cdot 3^{2} \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 5796.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: | \(46.2812930115\) |
Analytic rank: | \(0\) |
Dimension: | \(5\) |
Coefficient field: | 5.5.6963152.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{5} - 2x^{4} - 10x^{3} + 10x^{2} + 29x + 10 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{13}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 644) |
Fricke sign: | \(-1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.2 | ||
Root | \(-0.435854\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 5796.1 |
$q$-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 | 0 | ||||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −2.34236 | −1.04753 | −0.523767 | − | 0.851862i | \(-0.675474\pi\) | ||||
−0.523767 | + | 0.851862i | \(0.675474\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.00000 | −0.377964 | ||||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −5.38507 | −1.62366 | −0.811830 | − | 0.583894i | \(-0.801528\pi\) | ||||
−0.811830 | + | 0.583894i | \(0.801528\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −5.32339 | −1.47644 | −0.738222 | − | 0.674558i | \(-0.764334\pi\) | ||||
−0.738222 | + | 0.674558i | \(0.764334\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −7.88754 | −1.91301 | −0.956505 | − | 0.291717i | \(-0.905773\pi\) | ||||
−0.956505 | + | 0.291717i | \(0.905773\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 6.06364 | 1.39109 | 0.695547 | − | 0.718480i | \(-0.255162\pi\) | ||||
0.695547 | + | 0.718480i | \(0.255162\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 1.00000 | 0.208514 | ||||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.486637 | 0.0973275 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −1.87468 | −0.348120 | −0.174060 | − | 0.984735i | \(-0.555689\pi\) | ||||
−0.174060 | + | 0.984735i | \(0.555689\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −5.83096 | −1.04727 | −0.523635 | − | 0.851942i | \(-0.675425\pi\) | ||||
−0.523635 | + | 0.851942i | \(0.675425\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 2.34236 | 0.395931 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.19193 | 0.195952 | 0.0979762 | − | 0.995189i | \(-0.468763\pi\) | ||||
0.0979762 | + | 0.995189i | \(0.468763\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −6.45169 | −1.00758 | −0.503792 | − | 0.863825i | \(-0.668062\pi\) | ||||
−0.503792 | + | 0.863825i | \(0.668062\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −6.93535 | −1.05763 | −0.528815 | − | 0.848737i | \(-0.677364\pi\) | ||||
−0.528815 | + | 0.848737i | \(0.677364\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 10.8577 | 1.58376 | 0.791878 | − | 0.610679i | \(-0.209104\pi\) | ||||
0.791878 | + | 0.610679i | \(0.209104\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 1.00000 | 0.142857 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −7.94029 | −1.09068 | −0.545341 | − | 0.838214i | \(-0.683600\pi\) | ||||
−0.545341 | + | 0.838214i | \(0.683600\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 12.6138 | 1.70084 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 2.69561 | 0.350938 | 0.175469 | − | 0.984485i | \(-0.443856\pi\) | ||||
0.175469 | + | 0.984485i | \(0.443856\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.27771 | −0.419667 | −0.209834 | − | 0.977737i | \(-0.567292\pi\) | ||||
−0.209834 | + | 0.977737i | \(0.567292\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 12.4693 | 1.54663 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −1.82865 | −0.223405 | −0.111702 | − | 0.993742i | \(-0.535630\pi\) | ||||
−0.111702 | + | 0.993742i | \(0.535630\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −7.30161 | −0.866541 | −0.433271 | − | 0.901264i | \(-0.642641\pi\) | ||||
−0.433271 | + | 0.901264i | \(0.642641\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −7.51039 | −0.879024 | −0.439512 | − | 0.898237i | \(-0.644849\pi\) | ||||
−0.439512 | + | 0.898237i | \(0.644849\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 5.38507 | 0.613686 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −2.49158 | −0.280324 | −0.140162 | − | 0.990129i | \(-0.544762\pi\) | ||||
−0.140162 | + | 0.990129i | \(0.544762\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 16.8120 | 1.84536 | 0.922678 | − | 0.385571i | \(-0.125996\pi\) | ||||
0.922678 | + | 0.385571i | \(0.125996\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 18.4754 | 2.00394 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −13.2665 | −1.40624 | −0.703121 | − | 0.711070i | \(-0.748211\pi\) | ||||
−0.703121 | + | 0.711070i | \(0.748211\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 5.32339 | 0.558043 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −14.2032 | −1.45722 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 11.9624 | 1.21460 | 0.607300 | − | 0.794473i | \(-0.292253\pi\) | ||||
0.607300 | + | 0.794473i | \(0.292253\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 14.4918 | 1.44199 | 0.720993 | − | 0.692943i | \(-0.243686\pi\) | ||||
0.720993 | + | 0.692943i | \(0.243686\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 7.55642 | 0.744556 | 0.372278 | − | 0.928121i | \(-0.378577\pi\) | ||||
0.372278 | + | 0.928121i | \(0.378577\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 10.9353 | 1.05716 | 0.528580 | − | 0.848883i | \(-0.322725\pi\) | ||||
0.528580 | + | 0.848883i | \(0.322725\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −12.6250 | −1.20926 | −0.604628 | − | 0.796508i | \(-0.706678\pi\) | ||||
−0.604628 | + | 0.796508i | \(0.706678\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 3.15008 | 0.296335 | 0.148167 | − | 0.988962i | \(-0.452663\pi\) | ||||
0.148167 | + | 0.988962i | \(0.452663\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −2.34236 | −0.218426 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 7.88754 | 0.723050 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 17.9990 | 1.63627 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 10.5719 | 0.945580 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −9.25975 | −0.821670 | −0.410835 | − | 0.911710i | \(-0.634763\pi\) | ||||
−0.410835 | + | 0.911710i | \(0.634763\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −5.02289 | −0.438852 | −0.219426 | − | 0.975629i | \(-0.570418\pi\) | ||||
−0.219426 | + | 0.975629i | \(0.570418\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −6.06364 | −0.525784 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 15.7114 | 1.34232 | 0.671159 | − | 0.741313i | \(-0.265797\pi\) | ||||
0.671159 | + | 0.741313i | \(0.265797\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −0.0569290 | −0.00482865 | −0.00241433 | − | 0.999997i | \(-0.500769\pi\) | ||||
−0.00241433 | + | 0.999997i | \(0.500769\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 28.6669 | 2.39724 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 4.39118 | 0.364667 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −1.55642 | −0.127507 | −0.0637536 | − | 0.997966i | \(-0.520307\pi\) | ||||
−0.0637536 | + | 0.997966i | \(0.520307\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −3.44675 | −0.280492 | −0.140246 | − | 0.990117i | \(-0.544789\pi\) | ||||
−0.140246 | + | 0.990117i | \(0.544789\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 13.6582 | 1.09705 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 20.0366 | 1.59910 | 0.799548 | − | 0.600603i | \(-0.205073\pi\) | ||||
0.799548 | + | 0.600603i | \(0.205073\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −1.00000 | −0.0788110 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −20.4556 | −1.60221 | −0.801104 | − | 0.598526i | \(-0.795753\pi\) | ||||
−0.801104 | + | 0.598526i | \(0.795753\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −18.3044 | −1.41644 | −0.708220 | − | 0.705992i | \(-0.750501\pi\) | ||||
−0.708220 | + | 0.705992i | \(0.750501\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 15.3385 | 1.17989 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −0.0636396 | −0.00483843 | −0.00241922 | − | 0.999997i | \(-0.500770\pi\) | ||||
−0.00241922 | + | 0.999997i | \(0.500770\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.486637 | −0.0367863 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 10.0500 | 0.751169 | 0.375585 | − | 0.926788i | \(-0.377442\pi\) | ||||
0.375585 | + | 0.926788i | \(0.377442\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −0.138173 | −0.0102703 | −0.00513516 | − | 0.999987i | \(-0.501635\pi\) | ||||
−0.00513516 | + | 0.999987i | \(0.501635\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −2.79193 | −0.205267 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 42.4750 | 3.10608 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 8.55149 | 0.618764 | 0.309382 | − | 0.950938i | \(-0.399878\pi\) | ||||
0.309382 | + | 0.950938i | \(0.399878\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −24.3765 | −1.75466 | −0.877330 | − | 0.479887i | \(-0.840678\pi\) | ||||
−0.877330 | + | 0.479887i | \(0.840678\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −21.5421 | −1.53481 | −0.767404 | − | 0.641164i | \(-0.778452\pi\) | ||||
−0.767404 | + | 0.641164i | \(0.778452\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 6.51951 | 0.462156 | 0.231078 | − | 0.972935i | \(-0.425775\pi\) | ||||
0.231078 | + | 0.972935i | \(0.425775\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 1.87468 | 0.131577 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 15.1122 | 1.05548 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −32.6531 | −2.25866 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −18.2352 | −1.25536 | −0.627681 | − | 0.778471i | \(-0.715996\pi\) | ||||
−0.627681 | + | 0.778471i | \(0.715996\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 16.2451 | 1.10790 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 5.83096 | 0.395831 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 41.9885 | 2.82445 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −19.8496 | −1.32923 | −0.664614 | − | 0.747187i | \(-0.731404\pi\) | ||||
−0.664614 | + | 0.747187i | \(0.731404\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 0.579223 | 0.0384444 | 0.0192222 | − | 0.999815i | \(-0.493881\pi\) | ||||
0.0192222 | + | 0.999815i | \(0.493881\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 14.6538 | 0.968347 | 0.484174 | − | 0.874972i | \(-0.339120\pi\) | ||||
0.484174 | + | 0.874972i | \(0.339120\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −14.5953 | −0.956170 | −0.478085 | − | 0.878314i | \(-0.658669\pi\) | ||||
−0.478085 | + | 0.878314i | \(0.658669\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −25.4326 | −1.65904 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 12.9435 | 0.837243 | 0.418621 | − | 0.908161i | \(-0.362513\pi\) | ||||
0.418621 | + | 0.908161i | \(0.362513\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 1.24075 | 0.0799239 | 0.0399619 | − | 0.999201i | \(-0.487276\pi\) | ||||
0.0399619 | + | 0.999201i | \(0.487276\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −2.34236 | −0.149648 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −32.2791 | −2.05387 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −19.8766 | −1.25460 | −0.627301 | − | 0.778777i | \(-0.715841\pi\) | ||||
−0.627301 | + | 0.778777i | \(0.715841\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −5.38507 | −0.338557 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −4.85803 | −0.303036 | −0.151518 | − | 0.988455i | \(-0.548416\pi\) | ||||
−0.151518 | + | 0.988455i | \(0.548416\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −1.19193 | −0.0740630 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −11.5760 | −0.713806 | −0.356903 | − | 0.934141i | \(-0.616167\pi\) | ||||
−0.356903 | + | 0.934141i | \(0.616167\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 18.5990 | 1.14253 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 4.38805 | 0.267544 | 0.133772 | − | 0.991012i | \(-0.457291\pi\) | ||||
0.133772 | + | 0.991012i | \(0.457291\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −1.44396 | −0.0877145 | −0.0438572 | − | 0.999038i | \(-0.513965\pi\) | ||||
−0.0438572 | + | 0.999038i | \(0.513965\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −2.62058 | −0.158027 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 0.281027 | 0.0168853 | 0.00844263 | − | 0.999964i | \(-0.497313\pi\) | ||||
0.00844263 | + | 0.999964i | \(0.497313\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 19.5185 | 1.16438 | 0.582188 | − | 0.813054i | \(-0.302197\pi\) | ||||
0.582188 | + | 0.813054i | \(0.302197\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 27.3097 | 1.62339 | 0.811697 | − | 0.584079i | \(-0.198544\pi\) | ||||
0.811697 | + | 0.584079i | \(0.198544\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 6.45169 | 0.380831 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 45.2133 | 2.65960 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −20.8180 | −1.21620 | −0.608100 | − | 0.793860i | \(-0.708068\pi\) | ||||
−0.608100 | + | 0.793860i | \(0.708068\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −6.31408 | −0.367620 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −5.32339 | −0.307860 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 6.93535 | 0.399747 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 7.67756 | 0.439616 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 18.1772 | 1.03742 | 0.518712 | − | 0.854949i | \(-0.326412\pi\) | ||||
0.518712 | + | 0.854949i | \(0.326412\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 12.6176 | 0.715478 | 0.357739 | − | 0.933822i | \(-0.383548\pi\) | ||||
0.357739 | + | 0.933822i | \(0.383548\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −19.2510 | −1.08813 | −0.544066 | − | 0.839042i | \(-0.683116\pi\) | ||||
−0.544066 | + | 0.839042i | \(0.683116\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −10.9197 | −0.613312 | −0.306656 | − | 0.951820i | \(-0.599210\pi\) | ||||
−0.306656 | + | 0.951820i | \(0.599210\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 10.0953 | 0.565228 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −47.8272 | −2.66118 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −2.59056 | −0.143699 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −10.8577 | −0.598603 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 33.1364 | 1.82134 | 0.910671 | − | 0.413133i | \(-0.135566\pi\) | ||||
0.910671 | + | 0.413133i | \(0.135566\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 4.28335 | 0.234024 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 35.6458 | 1.94175 | 0.970875 | − | 0.239588i | \(-0.0770125\pi\) | ||||
0.970875 | + | 0.239588i | \(0.0770125\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 31.4001 | 1.70041 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −1.00000 | −0.0539949 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 0.117783 | 0.00632293 | 0.00316146 | − | 0.999995i | \(-0.498994\pi\) | ||||
0.00316146 | + | 0.999995i | \(0.498994\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −12.7083 | −0.680258 | −0.340129 | − | 0.940379i | \(-0.610471\pi\) | ||||
−0.340129 | + | 0.940379i | \(0.610471\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 15.4791 | 0.823870 | 0.411935 | − | 0.911213i | \(-0.364853\pi\) | ||||
0.411935 | + | 0.911213i | \(0.364853\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 17.1030 | 0.907731 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −7.66806 | −0.404705 | −0.202352 | − | 0.979313i | \(-0.564859\pi\) | ||||
−0.202352 | + | 0.979313i | \(0.564859\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 17.7677 | 0.935143 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 17.5920 | 0.920808 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 10.1079 | 0.527628 | 0.263814 | − | 0.964574i | \(-0.415019\pi\) | ||||
0.263814 | + | 0.964574i | \(0.415019\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 7.94029 | 0.412239 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −28.8437 | −1.49347 | −0.746734 | − | 0.665123i | \(-0.768379\pi\) | ||||
−0.746734 | + | 0.665123i | \(0.768379\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 9.97968 | 0.513980 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 27.2020 | 1.39727 | 0.698636 | − | 0.715477i | \(-0.253790\pi\) | ||||
0.698636 | + | 0.715477i | \(0.253790\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −19.6517 | −1.00416 | −0.502078 | − | 0.864822i | \(-0.667431\pi\) | ||||
−0.502078 | + | 0.864822i | \(0.667431\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −12.6138 | −0.642857 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −12.9990 | −0.659075 | −0.329537 | − | 0.944143i | \(-0.606893\pi\) | ||||
−0.329537 | + | 0.944143i | \(0.606893\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −7.88754 | −0.398890 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 5.83616 | 0.293649 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 27.2637 | 1.36832 | 0.684162 | − | 0.729330i | \(-0.260168\pi\) | ||||
0.684162 | + | 0.729330i | \(0.260168\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −10.3543 | −0.517069 | −0.258535 | − | 0.966002i | \(-0.583240\pi\) | ||||
−0.258535 | + | 0.966002i | \(0.583240\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 31.0405 | 1.54624 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −6.41863 | −0.318160 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 14.4338 | 0.713707 | 0.356853 | − | 0.934160i | \(-0.383850\pi\) | ||||
0.356853 | + | 0.934160i | \(0.383850\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −2.69561 | −0.132642 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −39.3797 | −1.93307 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −38.7780 | −1.89443 | −0.947214 | − | 0.320601i | \(-0.896115\pi\) | ||||
−0.947214 | + | 0.320601i | \(0.896115\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 33.3097 | 1.62342 | 0.811708 | − | 0.584063i | \(-0.198538\pi\) | ||||
0.811708 | + | 0.584063i | \(0.198538\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −3.83837 | −0.186188 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 3.27771 | 0.158619 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 0.967325 | 0.0465944 | 0.0232972 | − | 0.999729i | \(-0.492584\pi\) | ||||
0.0232972 | + | 0.999729i | \(0.492584\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 11.4173 | 0.548679 | 0.274340 | − | 0.961633i | \(-0.411541\pi\) | ||||
0.274340 | + | 0.961633i | \(0.411541\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 6.06364 | 0.290063 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −10.3789 | −0.495357 | −0.247678 | − | 0.968842i | \(-0.579668\pi\) | ||||
−0.247678 | + | 0.968842i | \(0.579668\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 23.2218 | 1.10330 | 0.551651 | − | 0.834075i | \(-0.313998\pi\) | ||||
0.551651 | + | 0.834075i | \(0.313998\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 31.0748 | 1.47309 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 10.6505 | 0.502629 | 0.251314 | − | 0.967905i | \(-0.419137\pi\) | ||||
0.251314 | + | 0.967905i | \(0.419137\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 34.7428 | 1.63597 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −12.4693 | −0.584569 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 0.379938 | 0.0177727 | 0.00888637 | − | 0.999961i | \(-0.497171\pi\) | ||||
0.00888637 | + | 0.999961i | \(0.497171\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 16.3880 | 0.763267 | 0.381634 | − | 0.924314i | \(-0.375362\pi\) | ||||
0.381634 | + | 0.924314i | \(0.375362\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −36.2349 | −1.68398 | −0.841989 | − | 0.539495i | \(-0.818615\pi\) | ||||
−0.841989 | + | 0.539495i | \(0.818615\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −17.1603 | −0.794083 | −0.397041 | − | 0.917801i | \(-0.629963\pi\) | ||||
−0.397041 | + | 0.917801i | \(0.629963\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 1.82865 | 0.0844391 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 37.3473 | 1.71723 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 2.95079 | 0.135392 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 16.8299 | 0.768976 | 0.384488 | − | 0.923130i | \(-0.374378\pi\) | ||||
0.384488 | + | 0.923130i | \(0.374378\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −6.34512 | −0.289313 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −28.0203 | −1.27233 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −26.9276 | −1.22021 | −0.610103 | − | 0.792322i | \(-0.708872\pi\) | ||||
−0.610103 | + | 0.792322i | \(0.708872\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 21.3432 | 0.963203 | 0.481602 | − | 0.876390i | \(-0.340055\pi\) | ||||
0.481602 | + | 0.876390i | \(0.340055\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 14.7866 | 0.665957 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 7.30161 | 0.327522 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −19.5203 | −0.873847 | −0.436923 | − | 0.899499i | \(-0.643932\pi\) | ||||
−0.436923 | + | 0.899499i | \(0.643932\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −5.02673 | −0.224131 | −0.112065 | − | 0.993701i | \(-0.535747\pi\) | ||||
−0.112065 | + | 0.993701i | \(0.535747\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −33.9449 | −1.51053 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 10.5354 | 0.466973 | 0.233486 | − | 0.972360i | \(-0.424987\pi\) | ||||
0.233486 | + | 0.972360i | \(0.424987\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 7.51039 | 0.332240 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −17.6998 | −0.779948 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −58.4694 | −2.57148 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −10.8559 | −0.475606 | −0.237803 | − | 0.971313i | \(-0.576427\pi\) | ||||
−0.237803 | + | 0.971313i | \(0.576427\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 16.5175 | 0.722259 | 0.361130 | − | 0.932516i | \(-0.382391\pi\) | ||||
0.361130 | + | 0.932516i | \(0.382391\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 45.9919 | 2.00344 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 1.00000 | 0.0434783 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 34.3449 | 1.48764 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −25.6145 | −1.10741 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −5.38507 | −0.231951 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −11.0983 | −0.477152 | −0.238576 | − | 0.971124i | \(-0.576681\pi\) | ||||
−0.238576 | + | 0.971124i | \(0.576681\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 29.5723 | 1.26674 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −3.70757 | −0.158524 | −0.0792621 | − | 0.996854i | \(-0.525256\pi\) | ||||
−0.0792621 | + | 0.996854i | \(0.525256\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −11.3674 | −0.484268 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 2.49158 | 0.105953 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 14.5792 | 0.617741 | 0.308871 | − | 0.951104i | \(-0.400049\pi\) | ||||
0.308871 | + | 0.951104i | \(0.400049\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 36.9196 | 1.56153 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 15.2872 | 0.644280 | 0.322140 | − | 0.946692i | \(-0.395598\pi\) | ||||
0.322140 | + | 0.946692i | \(0.395598\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −7.37861 | −0.310420 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −17.3853 | −0.728828 | −0.364414 | − | 0.931237i | \(-0.618731\pi\) | ||||
−0.364414 | + | 0.931237i | \(0.618731\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −5.96802 | −0.249754 | −0.124877 | − | 0.992172i | \(-0.539854\pi\) | ||||
−0.124877 | + | 0.992172i | \(0.539854\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 0.486637 | 0.0202942 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −22.1611 | −0.922579 | −0.461289 | − | 0.887250i | \(-0.652613\pi\) | ||||
−0.461289 | + | 0.887250i | \(0.652613\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −16.8120 | −0.697479 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 42.7590 | 1.77090 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −9.96131 | −0.411147 | −0.205574 | − | 0.978642i | \(-0.565906\pi\) | ||||
−0.205574 | + | 0.978642i | \(0.565906\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −35.3568 | −1.45685 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −8.77014 | −0.360147 | −0.180073 | − | 0.983653i | \(-0.557633\pi\) | ||||
−0.180073 | + | 0.983653i | \(0.557633\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −18.4754 | −0.757419 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −11.3276 | −0.462832 | −0.231416 | − | 0.972855i | \(-0.574336\pi\) | ||||
−0.231416 | + | 0.972855i | \(0.574336\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 5.77090 | 0.235400 | 0.117700 | − | 0.993049i | \(-0.462448\pi\) | ||||
0.117700 | + | 0.993049i | \(0.462448\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −42.1601 | −1.71405 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 1.19400 | 0.0484630 | 0.0242315 | − | 0.999706i | \(-0.492286\pi\) | ||||
0.0242315 | + | 0.999706i | \(0.492286\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −57.7997 | −2.33833 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −42.3622 | −1.71099 | −0.855496 | − | 0.517810i | \(-0.826747\pi\) | ||||
−0.855496 | + | 0.517810i | \(0.826747\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −33.9063 | −1.36502 | −0.682508 | − | 0.730878i | \(-0.739111\pi\) | ||||
−0.682508 | + | 0.730878i | \(0.739111\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 27.6830 | 1.11267 | 0.556337 | − | 0.830957i | \(-0.312206\pi\) | ||||
0.556337 | + | 0.830957i | \(0.312206\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 13.2665 | 0.531510 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −27.1964 | −1.08785 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −9.40141 | −0.374859 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −0.801923 | −0.0319240 | −0.0159620 | − | 0.999873i | \(-0.505081\pi\) | ||||
−0.0159620 | + | 0.999873i | \(0.505081\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 21.6897 | 0.860728 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −5.32339 | −0.210921 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −19.1287 | −0.755538 | −0.377769 | − | 0.925900i | \(-0.623309\pi\) | ||||
−0.377769 | + | 0.925900i | \(0.623309\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −43.8827 | −1.73056 | −0.865282 | − | 0.501286i | \(-0.832861\pi\) | ||||
−0.865282 | + | 0.501286i | \(0.832861\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −41.0032 | −1.61200 | −0.806001 | − | 0.591914i | \(-0.798373\pi\) | ||||
−0.806001 | + | 0.591914i | \(0.798373\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −14.5160 | −0.569804 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −35.1744 | −1.37648 | −0.688240 | − | 0.725483i | \(-0.741617\pi\) | ||||
−0.688240 | + | 0.725483i | \(0.741617\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 11.7654 | 0.459712 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 24.7839 | 0.965445 | 0.482723 | − | 0.875773i | \(-0.339648\pi\) | ||||
0.482723 | + | 0.875773i | \(0.339648\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 41.4545 | 1.61239 | 0.806197 | − | 0.591648i | \(-0.201522\pi\) | ||||
0.806197 | + | 0.591648i | \(0.201522\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 14.2032 | 0.550777 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −1.87468 | −0.0725880 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 17.6507 | 0.681397 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −36.0660 | −1.39024 | −0.695121 | − | 0.718893i | \(-0.744649\pi\) | ||||
−0.695121 | + | 0.718893i | \(0.744649\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −3.41266 | −0.131159 | −0.0655795 | − | 0.997847i | \(-0.520890\pi\) | ||||
−0.0655795 | + | 0.997847i | \(0.520890\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −11.9624 | −0.459076 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 24.2314 | 0.927188 | 0.463594 | − | 0.886048i | \(-0.346560\pi\) | ||||
0.463594 | + | 0.886048i | \(0.346560\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −36.8018 | −1.40612 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 42.2693 | 1.61033 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 7.37573 | 0.280586 | 0.140293 | − | 0.990110i | \(-0.455196\pi\) | ||||
0.140293 | + | 0.990110i | \(0.455196\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 0.133348 | 0.00505818 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 50.8879 | 1.92752 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −3.25950 | −0.123109 | −0.0615547 | − | 0.998104i | \(-0.519606\pi\) | ||||
−0.0615547 | + | 0.998104i | \(0.519606\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 7.22744 | 0.272588 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −14.4918 | −0.545019 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 43.0749 | 1.61771 | 0.808856 | − | 0.588006i | \(-0.200087\pi\) | ||||
0.808856 | + | 0.588006i | \(0.200087\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −5.83096 | −0.218371 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −67.1480 | −2.51119 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −0.219003 | −0.00816744 | −0.00408372 | − | 0.999992i | \(-0.501300\pi\) | ||||
−0.00408372 | + | 0.999992i | \(0.501300\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −7.55642 | −0.281416 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −0.912291 | −0.0338816 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −22.7045 | −0.842062 | −0.421031 | − | 0.907046i | \(-0.638332\pi\) | ||||
−0.421031 | + | 0.907046i | \(0.638332\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 54.7028 | 2.02326 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 17.9129 | 0.661628 | 0.330814 | − | 0.943696i | \(-0.392677\pi\) | ||||
0.330814 | + | 0.943696i | \(0.392677\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 9.84740 | 0.362734 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −11.3452 | −0.417339 | −0.208670 | − | 0.977986i | \(-0.566913\pi\) | ||||
−0.208670 | + | 0.977986i | \(0.566913\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −9.31548 | −0.341752 | −0.170876 | − | 0.985293i | \(-0.554660\pi\) | ||||
−0.170876 | + | 0.985293i | \(0.554660\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 3.64570 | 0.133568 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −10.9353 | −0.399569 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 5.43047 | 0.198161 | 0.0990803 | − | 0.995079i | \(-0.468410\pi\) | ||||
0.0990803 | + | 0.995079i | \(0.468410\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 8.07351 | 0.293825 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −9.50823 | −0.345582 | −0.172791 | − | 0.984958i | \(-0.555279\pi\) | ||||
−0.172791 | + | 0.984958i | \(0.555279\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −21.6974 | −0.786529 | −0.393265 | − | 0.919425i | \(-0.628654\pi\) | ||||
−0.393265 | + | 0.919425i | \(0.628654\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 12.6250 | 0.457056 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −14.3498 | −0.518141 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −10.7850 | −0.388916 | −0.194458 | − | 0.980911i | \(-0.562295\pi\) | ||||
−0.194458 | + | 0.980911i | \(0.562295\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 25.1118 | 0.903210 | 0.451605 | − | 0.892218i | \(-0.350852\pi\) | ||||
0.451605 | + | 0.892218i | \(0.350852\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −2.83756 | −0.101928 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −39.1207 | −1.40164 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 39.3197 | 1.40697 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −46.9329 | −1.67511 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 1.64538 | 0.0586516 | 0.0293258 | − | 0.999570i | \(-0.490664\pi\) | ||||
0.0293258 | + | 0.999570i | \(0.490664\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −3.15008 | −0.112004 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 17.4485 | 0.619615 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −12.0243 | −0.425923 | −0.212962 | − | 0.977061i | \(-0.568311\pi\) | ||||
−0.212962 | + | 0.977061i | \(0.568311\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −85.6404 | −3.02974 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 40.4440 | 1.42724 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 2.34236 | 0.0825572 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −11.4285 | −0.401803 | −0.200901 | − | 0.979611i | \(-0.564387\pi\) | ||||
−0.200901 | + | 0.979611i | \(0.564387\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 24.2552 | 0.851714 | 0.425857 | − | 0.904790i | \(-0.359973\pi\) | ||||
0.425857 | + | 0.904790i | \(0.359973\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 47.9143 | 1.67837 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −42.0535 | −1.47126 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −16.1394 | −0.563268 | −0.281634 | − | 0.959522i | \(-0.590876\pi\) | ||||
−0.281634 | + | 0.959522i | \(0.590876\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −5.72512 | −0.199565 | −0.0997825 | − | 0.995009i | \(-0.531815\pi\) | ||||
−0.0997825 | + | 0.995009i | \(0.531815\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 27.6141 | 0.960237 | 0.480118 | − | 0.877204i | \(-0.340594\pi\) | ||||
0.480118 | + | 0.877204i | \(0.340594\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 27.3694 | 0.950580 | 0.475290 | − | 0.879829i | \(-0.342343\pi\) | ||||
0.475290 | + | 0.879829i | \(0.342343\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −7.88754 | −0.273287 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 42.8755 | 1.48377 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −9.24538 | −0.319186 | −0.159593 | − | 0.987183i | \(-0.551018\pi\) | ||||
−0.159593 | + | 0.987183i | \(0.551018\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −25.4856 | −0.878813 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −35.9283 | −1.23597 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −17.9990 | −0.618453 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 1.19193 | 0.0408589 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 48.3601 | 1.65582 | 0.827910 | − | 0.560862i | \(-0.189530\pi\) | ||||
0.827910 | + | 0.560862i | \(0.189530\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 1.42104 | 0.0485416 | 0.0242708 | − | 0.999705i | \(-0.492274\pi\) | ||||
0.0242708 | + | 0.999705i | \(0.492274\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −7.68890 | −0.262342 | −0.131171 | − | 0.991360i | \(-0.541874\pi\) | ||||
−0.131171 | + | 0.991360i | \(0.541874\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −1.91806 | −0.0652916 | −0.0326458 | − | 0.999467i | \(-0.510393\pi\) | ||||
−0.0326458 | + | 0.999467i | \(0.510393\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 0.149067 | 0.00506842 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 13.4173 | 0.455151 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 9.73461 | 0.329845 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −10.5719 | −0.357396 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −18.2136 | −0.615029 | −0.307515 | − | 0.951543i | \(-0.599497\pi\) | ||||
−0.307515 | + | 0.951543i | \(0.599497\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 42.2662 | 1.42399 | 0.711993 | − | 0.702187i | \(-0.247793\pi\) | ||||
0.711993 | + | 0.702187i | \(0.247793\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 17.1758 | 0.578011 | 0.289006 | − | 0.957327i | \(-0.406675\pi\) | ||||
0.289006 | + | 0.957327i | \(0.406675\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −11.8742 | −0.398696 | −0.199348 | − | 0.979929i | \(-0.563882\pi\) | ||||
−0.199348 | + | 0.979929i | \(0.563882\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 9.25975 | 0.310562 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 65.8371 | 2.20315 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −23.5406 | −0.786875 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 10.9312 | 0.364576 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 62.6293 | 2.08649 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 0.323651 | 0.0107585 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 16.7923 | 0.557579 | 0.278790 | − | 0.960352i | \(-0.410067\pi\) | ||||
0.278790 | + | 0.960352i | \(0.410067\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −42.6355 | −1.41258 | −0.706288 | − | 0.707925i | \(-0.749632\pi\) | ||||
−0.706288 | + | 0.707925i | \(0.749632\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −90.5338 | −2.99623 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 5.02289 | 0.165870 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −19.9742 | −0.658887 | −0.329444 | − | 0.944175i | \(-0.606861\pi\) | ||||
−0.329444 | + | 0.944175i | \(0.606861\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 38.8693 | 1.27940 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0.580038 | 0.0190715 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −6.02222 | −0.197583 | −0.0987914 | − | 0.995108i | \(-0.531498\pi\) | ||||
−0.0987914 | + | 0.995108i | \(0.531498\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 6.06364 | 0.198728 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −99.4915 | −3.25372 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −24.6553 | −0.805452 | −0.402726 | − | 0.915320i | \(-0.631937\pi\) | ||||
−0.402726 | + | 0.915320i | \(0.631937\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −50.1049 | −1.63337 | −0.816686 | − | 0.577082i | \(-0.804191\pi\) | ||||
−0.816686 | + | 0.577082i | \(0.804191\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −6.45169 | −0.210096 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −19.9519 | −0.648351 | −0.324175 | − | 0.945997i | \(-0.605087\pi\) | ||||
−0.324175 | + | 0.945997i | \(0.605087\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 39.9807 | 1.29783 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 40.2873 | 1.30503 | 0.652517 | − | 0.757774i | \(-0.273713\pi\) | ||||
0.652517 | + | 0.757774i | \(0.273713\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −20.0306 | −0.648176 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −15.7114 | −0.507349 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 3.00006 | 0.0967762 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 57.0985 | 1.83807 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −31.2689 | −1.00554 | −0.502771 | − | 0.864420i | \(-0.667686\pi\) | ||||
−0.502771 | + | 0.864420i | \(0.667686\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 42.5037 | 1.36401 | 0.682005 | − | 0.731347i | \(-0.261108\pi\) | ||||
0.682005 | + | 0.731347i | \(0.261108\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 0.0569290 | 0.00182506 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 33.2556 | 1.06394 | 0.531971 | − | 0.846762i | \(-0.321451\pi\) | ||||
0.531971 | + | 0.846762i | \(0.321451\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 71.4409 | 2.28326 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −46.5016 | −1.48317 | −0.741586 | − | 0.670858i | \(-0.765926\pi\) | ||||
−0.741586 | + | 0.670858i | \(0.765926\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 50.4592 | 1.60776 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −6.93535 | −0.220531 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −31.1965 | −0.990991 | −0.495496 | − | 0.868610i | \(-0.665014\pi\) | ||||
−0.495496 | + | 0.868610i | \(0.665014\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −15.2710 | −0.484124 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 7.37962 | 0.233715 | 0.116857 | − | 0.993149i | \(-0.462718\pi\) | ||||
0.116857 | + | 0.993149i | \(0.462718\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 5796.2.a.t.1.2 | 5 | ||
3.2 | odd | 2 | 644.2.a.d.1.3 | ✓ | 5 | ||
12.11 | even | 2 | 2576.2.a.bb.1.3 | 5 | |||
21.20 | even | 2 | 4508.2.a.f.1.3 | 5 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
644.2.a.d.1.3 | ✓ | 5 | 3.2 | odd | 2 | ||
2576.2.a.bb.1.3 | 5 | 12.11 | even | 2 | |||
4508.2.a.f.1.3 | 5 | 21.20 | even | 2 | |||
5796.2.a.t.1.2 | 5 | 1.1 | even | 1 | trivial |