Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1134,2,Mod(1,1134)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1134, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1134.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1134 = 2 \cdot 3^{4} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1134.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: | \(9.05503558921\) |
Analytic rank: | \(0\) |
Dimension: | \(2\) |
Coefficient field: | \(\Q(\sqrt{6}) \) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{2} - 6 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 126) |
Fricke sign: | \(-1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.1 | ||
Root | \(-2.44949\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1134.1 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.00000 | 0.707107 | ||||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.00000 | 0.500000 | ||||||||
\(5\) | −1.44949 | −0.648232 | −0.324116 | − | 0.946017i | \(-0.605067\pi\) | ||||
−0.324116 | + | 0.946017i | \(0.605067\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.00000 | −0.377964 | ||||||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −1.44949 | −0.458369 | ||||||||
\(11\) | 2.00000 | 0.603023 | 0.301511 | − | 0.953463i | \(-0.402509\pi\) | ||||
0.301511 | + | 0.953463i | \(0.402509\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 4.89898 | 1.35873 | 0.679366 | − | 0.733799i | \(-0.262255\pi\) | ||||
0.679366 | + | 0.733799i | \(0.262255\pi\) | |||||||
\(14\) | −1.00000 | −0.267261 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | 2.00000 | 0.485071 | 0.242536 | − | 0.970143i | \(-0.422021\pi\) | ||||
0.242536 | + | 0.970143i | \(0.422021\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.55051 | 0.585127 | 0.292564 | − | 0.956246i | \(-0.405492\pi\) | ||||
0.292564 | + | 0.956246i | \(0.405492\pi\) | |||||||
\(20\) | −1.44949 | −0.324116 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 2.00000 | 0.426401 | ||||||||
\(23\) | −1.00000 | −0.208514 | −0.104257 | − | 0.994550i | \(-0.533247\pi\) | ||||
−0.104257 | + | 0.994550i | \(0.533247\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −2.89898 | −0.579796 | ||||||||
\(26\) | 4.89898 | 0.960769 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −1.00000 | −0.188982 | ||||||||
\(29\) | −6.89898 | −1.28111 | −0.640554 | − | 0.767913i | \(-0.721295\pi\) | ||||
−0.640554 | + | 0.767913i | \(0.721295\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 6.00000 | 1.07763 | 0.538816 | − | 0.842424i | \(-0.318872\pi\) | ||||
0.538816 | + | 0.842424i | \(0.318872\pi\) | |||||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 2.00000 | 0.342997 | ||||||||
\(35\) | 1.44949 | 0.245008 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 11.7980 | 1.93957 | 0.969786 | − | 0.243956i | \(-0.0784453\pi\) | ||||
0.969786 | + | 0.243956i | \(0.0784453\pi\) | |||||||
\(38\) | 2.55051 | 0.413747 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −1.44949 | −0.229184 | ||||||||
\(41\) | 9.79796 | 1.53018 | 0.765092 | − | 0.643921i | \(-0.222693\pi\) | ||||
0.765092 | + | 0.643921i | \(0.222693\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 6.89898 | 1.05208 | 0.526042 | − | 0.850458i | \(-0.323675\pi\) | ||||
0.526042 | + | 0.850458i | \(0.323675\pi\) | |||||||
\(44\) | 2.00000 | 0.301511 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.00000 | −0.147442 | ||||||||
\(47\) | 9.79796 | 1.42918 | 0.714590 | − | 0.699544i | \(-0.246613\pi\) | ||||
0.714590 | + | 0.699544i | \(0.246613\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 1.00000 | 0.142857 | ||||||||
\(50\) | −2.89898 | −0.409978 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 4.89898 | 0.679366 | ||||||||
\(53\) | −10.8990 | −1.49709 | −0.748545 | − | 0.663084i | \(-0.769247\pi\) | ||||
−0.748545 | + | 0.663084i | \(0.769247\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −2.89898 | −0.390898 | ||||||||
\(56\) | −1.00000 | −0.133631 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −6.89898 | −0.905880 | ||||||||
\(59\) | −2.00000 | −0.260378 | −0.130189 | − | 0.991489i | \(-0.541558\pi\) | ||||
−0.130189 | + | 0.991489i | \(0.541558\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 6.55051 | 0.838707 | 0.419353 | − | 0.907823i | \(-0.362257\pi\) | ||||
0.419353 | + | 0.907823i | \(0.362257\pi\) | |||||||
\(62\) | 6.00000 | 0.762001 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −7.10102 | −0.880773 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −12.8990 | −1.57586 | −0.787931 | − | 0.615764i | \(-0.788847\pi\) | ||||
−0.787931 | + | 0.615764i | \(0.788847\pi\) | |||||||
\(68\) | 2.00000 | 0.242536 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 1.44949 | 0.173247 | ||||||||
\(71\) | 0.101021 | 0.0119889 | 0.00599446 | − | 0.999982i | \(-0.498092\pi\) | ||||
0.00599446 | + | 0.999982i | \(0.498092\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −6.89898 | −0.807464 | −0.403732 | − | 0.914877i | \(-0.632287\pi\) | ||||
−0.403732 | + | 0.914877i | \(0.632287\pi\) | |||||||
\(74\) | 11.7980 | 1.37148 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 2.55051 | 0.292564 | ||||||||
\(77\) | −2.00000 | −0.227921 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.89898 | −0.213652 | −0.106826 | − | 0.994278i | \(-0.534069\pi\) | ||||
−0.106826 | + | 0.994278i | \(0.534069\pi\) | |||||||
\(80\) | −1.44949 | −0.162058 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 9.79796 | 1.08200 | ||||||||
\(83\) | 2.00000 | 0.219529 | 0.109764 | − | 0.993958i | \(-0.464990\pi\) | ||||
0.109764 | + | 0.993958i | \(0.464990\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −2.89898 | −0.314438 | ||||||||
\(86\) | 6.89898 | 0.743936 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 2.00000 | 0.213201 | ||||||||
\(89\) | −16.8990 | −1.79129 | −0.895644 | − | 0.444771i | \(-0.853285\pi\) | ||||
−0.895644 | + | 0.444771i | \(0.853285\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −4.89898 | −0.513553 | ||||||||
\(92\) | −1.00000 | −0.104257 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 9.79796 | 1.01058 | ||||||||
\(95\) | −3.69694 | −0.379298 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 2.89898 | 0.294347 | 0.147173 | − | 0.989111i | \(-0.452982\pi\) | ||||
0.147173 | + | 0.989111i | \(0.452982\pi\) | |||||||
\(98\) | 1.00000 | 0.101015 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −2.89898 | −0.289898 | ||||||||
\(101\) | −17.2474 | −1.71619 | −0.858093 | − | 0.513495i | \(-0.828351\pi\) | ||||
−0.858093 | + | 0.513495i | \(0.828351\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 14.0000 | 1.37946 | 0.689730 | − | 0.724066i | \(-0.257729\pi\) | ||||
0.689730 | + | 0.724066i | \(0.257729\pi\) | |||||||
\(104\) | 4.89898 | 0.480384 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −10.8990 | −1.05860 | ||||||||
\(107\) | −12.0000 | −1.16008 | −0.580042 | − | 0.814587i | \(-0.696964\pi\) | ||||
−0.580042 | + | 0.814587i | \(0.696964\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 12.6969 | 1.21615 | 0.608073 | − | 0.793881i | \(-0.291943\pi\) | ||||
0.608073 | + | 0.793881i | \(0.291943\pi\) | |||||||
\(110\) | −2.89898 | −0.276407 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −1.00000 | −0.0944911 | ||||||||
\(113\) | −6.10102 | −0.573936 | −0.286968 | − | 0.957940i | \(-0.592647\pi\) | ||||
−0.286968 | + | 0.957940i | \(0.592647\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1.44949 | 0.135166 | ||||||||
\(116\) | −6.89898 | −0.640554 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −2.00000 | −0.184115 | ||||||||
\(119\) | −2.00000 | −0.183340 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −7.00000 | −0.636364 | ||||||||
\(122\) | 6.55051 | 0.593055 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 6.00000 | 0.538816 | ||||||||
\(125\) | 11.4495 | 1.02407 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −3.00000 | −0.266207 | −0.133103 | − | 0.991102i | \(-0.542494\pi\) | ||||
−0.133103 | + | 0.991102i | \(0.542494\pi\) | |||||||
\(128\) | 1.00000 | 0.0883883 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −7.10102 | −0.622801 | ||||||||
\(131\) | −8.55051 | −0.747062 | −0.373531 | − | 0.927618i | \(-0.621853\pi\) | ||||
−0.373531 | + | 0.927618i | \(0.621853\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −2.55051 | −0.221157 | ||||||||
\(134\) | −12.8990 | −1.11430 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 2.00000 | 0.171499 | ||||||||
\(137\) | 7.79796 | 0.666225 | 0.333112 | − | 0.942887i | \(-0.391901\pi\) | ||||
0.333112 | + | 0.942887i | \(0.391901\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 4.55051 | 0.385969 | 0.192985 | − | 0.981202i | \(-0.438183\pi\) | ||||
0.192985 | + | 0.981202i | \(0.438183\pi\) | |||||||
\(140\) | 1.44949 | 0.122504 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0.101021 | 0.00847745 | ||||||||
\(143\) | 9.79796 | 0.819346 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 10.0000 | 0.830455 | ||||||||
\(146\) | −6.89898 | −0.570964 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 11.7980 | 0.969786 | ||||||||
\(149\) | −6.00000 | −0.491539 | −0.245770 | − | 0.969328i | \(-0.579041\pi\) | ||||
−0.245770 | + | 0.969328i | \(0.579041\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −5.00000 | −0.406894 | −0.203447 | − | 0.979086i | \(-0.565214\pi\) | ||||
−0.203447 | + | 0.979086i | \(0.565214\pi\) | |||||||
\(152\) | 2.55051 | 0.206874 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −2.00000 | −0.161165 | ||||||||
\(155\) | −8.69694 | −0.698555 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −8.34847 | −0.666280 | −0.333140 | − | 0.942877i | \(-0.608108\pi\) | ||||
−0.333140 | + | 0.942877i | \(0.608108\pi\) | |||||||
\(158\) | −1.89898 | −0.151075 | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −1.44949 | −0.114592 | ||||||||
\(161\) | 1.00000 | 0.0788110 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −19.7980 | −1.55070 | −0.775348 | − | 0.631534i | \(-0.782425\pi\) | ||||
−0.775348 | + | 0.631534i | \(0.782425\pi\) | |||||||
\(164\) | 9.79796 | 0.765092 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 2.00000 | 0.155230 | ||||||||
\(167\) | −10.6969 | −0.827754 | −0.413877 | − | 0.910333i | \(-0.635826\pi\) | ||||
−0.413877 | + | 0.910333i | \(0.635826\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 11.0000 | 0.846154 | ||||||||
\(170\) | −2.89898 | −0.222342 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 6.89898 | 0.526042 | ||||||||
\(173\) | −3.10102 | −0.235766 | −0.117883 | − | 0.993027i | \(-0.537611\pi\) | ||||
−0.117883 | + | 0.993027i | \(0.537611\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 2.89898 | 0.219142 | ||||||||
\(176\) | 2.00000 | 0.150756 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −16.8990 | −1.26663 | ||||||||
\(179\) | 20.6969 | 1.54696 | 0.773481 | − | 0.633820i | \(-0.218514\pi\) | ||||
0.773481 | + | 0.633820i | \(0.218514\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −10.3485 | −0.769196 | −0.384598 | − | 0.923084i | \(-0.625660\pi\) | ||||
−0.384598 | + | 0.923084i | \(0.625660\pi\) | |||||||
\(182\) | −4.89898 | −0.363137 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −1.00000 | −0.0737210 | ||||||||
\(185\) | −17.1010 | −1.25729 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 4.00000 | 0.292509 | ||||||||
\(188\) | 9.79796 | 0.714590 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −3.69694 | −0.268204 | ||||||||
\(191\) | 4.10102 | 0.296739 | 0.148370 | − | 0.988932i | \(-0.452597\pi\) | ||||
0.148370 | + | 0.988932i | \(0.452597\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −17.8990 | −1.28840 | −0.644198 | − | 0.764858i | \(-0.722809\pi\) | ||||
−0.644198 | + | 0.764858i | \(0.722809\pi\) | |||||||
\(194\) | 2.89898 | 0.208135 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 1.00000 | 0.0714286 | ||||||||
\(197\) | 16.6969 | 1.18961 | 0.594804 | − | 0.803871i | \(-0.297230\pi\) | ||||
0.594804 | + | 0.803871i | \(0.297230\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −2.89898 | −0.205503 | −0.102752 | − | 0.994707i | \(-0.532765\pi\) | ||||
−0.102752 | + | 0.994707i | \(0.532765\pi\) | |||||||
\(200\) | −2.89898 | −0.204989 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −17.2474 | −1.21353 | ||||||||
\(203\) | 6.89898 | 0.484213 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −14.2020 | −0.991914 | ||||||||
\(206\) | 14.0000 | 0.975426 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 4.89898 | 0.339683 | ||||||||
\(209\) | 5.10102 | 0.352845 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 12.8990 | 0.888002 | 0.444001 | − | 0.896026i | \(-0.353559\pi\) | ||||
0.444001 | + | 0.896026i | \(0.353559\pi\) | |||||||
\(212\) | −10.8990 | −0.748545 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −12.0000 | −0.820303 | ||||||||
\(215\) | −10.0000 | −0.681994 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −6.00000 | −0.407307 | ||||||||
\(218\) | 12.6969 | 0.859945 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −2.89898 | −0.195449 | ||||||||
\(221\) | 9.79796 | 0.659082 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −11.1010 | −0.743379 | −0.371690 | − | 0.928357i | \(-0.621221\pi\) | ||||
−0.371690 | + | 0.928357i | \(0.621221\pi\) | |||||||
\(224\) | −1.00000 | −0.0668153 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −6.10102 | −0.405834 | ||||||||
\(227\) | −5.44949 | −0.361695 | −0.180848 | − | 0.983511i | \(-0.557884\pi\) | ||||
−0.180848 | + | 0.983511i | \(0.557884\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 1.24745 | 0.0824337 | 0.0412169 | − | 0.999150i | \(-0.486877\pi\) | ||||
0.0412169 | + | 0.999150i | \(0.486877\pi\) | |||||||
\(230\) | 1.44949 | 0.0955765 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −6.89898 | −0.452940 | ||||||||
\(233\) | −7.00000 | −0.458585 | −0.229293 | − | 0.973358i | \(-0.573641\pi\) | ||||
−0.229293 | + | 0.973358i | \(0.573641\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −14.2020 | −0.926439 | ||||||||
\(236\) | −2.00000 | −0.130189 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −2.00000 | −0.129641 | ||||||||
\(239\) | 6.79796 | 0.439723 | 0.219862 | − | 0.975531i | \(-0.429439\pi\) | ||||
0.219862 | + | 0.975531i | \(0.429439\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 0.898979 | 0.0579084 | 0.0289542 | − | 0.999581i | \(-0.490782\pi\) | ||||
0.0289542 | + | 0.999581i | \(0.490782\pi\) | |||||||
\(242\) | −7.00000 | −0.449977 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 6.55051 | 0.419353 | ||||||||
\(245\) | −1.44949 | −0.0926045 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 12.4949 | 0.795031 | ||||||||
\(248\) | 6.00000 | 0.381000 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 11.4495 | 0.724129 | ||||||||
\(251\) | 17.4495 | 1.10140 | 0.550701 | − | 0.834703i | \(-0.314360\pi\) | ||||
0.550701 | + | 0.834703i | \(0.314360\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −2.00000 | −0.125739 | ||||||||
\(254\) | −3.00000 | −0.188237 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 8.20204 | 0.511629 | 0.255815 | − | 0.966726i | \(-0.417656\pi\) | ||||
0.255815 | + | 0.966726i | \(0.417656\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −11.7980 | −0.733090 | ||||||||
\(260\) | −7.10102 | −0.440387 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −8.55051 | −0.528252 | ||||||||
\(263\) | 25.8990 | 1.59700 | 0.798500 | − | 0.601995i | \(-0.205627\pi\) | ||||
0.798500 | + | 0.601995i | \(0.205627\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 15.7980 | 0.970461 | ||||||||
\(266\) | −2.55051 | −0.156382 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −12.8990 | −0.787931 | ||||||||
\(269\) | −18.3485 | −1.11873 | −0.559363 | − | 0.828923i | \(-0.688954\pi\) | ||||
−0.559363 | + | 0.828923i | \(0.688954\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 7.10102 | 0.431356 | 0.215678 | − | 0.976465i | \(-0.430804\pi\) | ||||
0.215678 | + | 0.976465i | \(0.430804\pi\) | |||||||
\(272\) | 2.00000 | 0.121268 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 7.79796 | 0.471092 | ||||||||
\(275\) | −5.79796 | −0.349630 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −18.6969 | −1.12339 | −0.561695 | − | 0.827344i | \(-0.689851\pi\) | ||||
−0.561695 | + | 0.827344i | \(0.689851\pi\) | |||||||
\(278\) | 4.55051 | 0.272921 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 1.44949 | 0.0866236 | ||||||||
\(281\) | −19.0000 | −1.13344 | −0.566722 | − | 0.823909i | \(-0.691789\pi\) | ||||
−0.566722 | + | 0.823909i | \(0.691789\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −25.4495 | −1.51282 | −0.756408 | − | 0.654101i | \(-0.773047\pi\) | ||||
−0.756408 | + | 0.654101i | \(0.773047\pi\) | |||||||
\(284\) | 0.101021 | 0.00599446 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 9.79796 | 0.579365 | ||||||||
\(287\) | −9.79796 | −0.578355 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −13.0000 | −0.764706 | ||||||||
\(290\) | 10.0000 | 0.587220 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −6.89898 | −0.403732 | ||||||||
\(293\) | 2.75255 | 0.160806 | 0.0804029 | − | 0.996762i | \(-0.474379\pi\) | ||||
0.0804029 | + | 0.996762i | \(0.474379\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 2.89898 | 0.168785 | ||||||||
\(296\) | 11.7980 | 0.685742 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −6.00000 | −0.347571 | ||||||||
\(299\) | −4.89898 | −0.283315 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −6.89898 | −0.397651 | ||||||||
\(302\) | −5.00000 | −0.287718 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 2.55051 | 0.146282 | ||||||||
\(305\) | −9.49490 | −0.543676 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 25.2474 | 1.44095 | 0.720474 | − | 0.693482i | \(-0.243924\pi\) | ||||
0.720474 | + | 0.693482i | \(0.243924\pi\) | |||||||
\(308\) | −2.00000 | −0.113961 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −8.69694 | −0.493953 | ||||||||
\(311\) | 30.6969 | 1.74066 | 0.870332 | − | 0.492466i | \(-0.163904\pi\) | ||||
0.870332 | + | 0.492466i | \(0.163904\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −4.69694 | −0.265487 | −0.132743 | − | 0.991150i | \(-0.542379\pi\) | ||||
−0.132743 | + | 0.991150i | \(0.542379\pi\) | |||||||
\(314\) | −8.34847 | −0.471131 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −1.89898 | −0.106826 | ||||||||
\(317\) | 20.6969 | 1.16246 | 0.581228 | − | 0.813741i | \(-0.302572\pi\) | ||||
0.581228 | + | 0.813741i | \(0.302572\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −13.7980 | −0.772537 | ||||||||
\(320\) | −1.44949 | −0.0810289 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 1.00000 | 0.0557278 | ||||||||
\(323\) | 5.10102 | 0.283828 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −14.2020 | −0.787787 | ||||||||
\(326\) | −19.7980 | −1.09651 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 9.79796 | 0.541002 | ||||||||
\(329\) | −9.79796 | −0.540179 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 4.69694 | 0.258167 | 0.129084 | − | 0.991634i | \(-0.458796\pi\) | ||||
0.129084 | + | 0.991634i | \(0.458796\pi\) | |||||||
\(332\) | 2.00000 | 0.109764 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −10.6969 | −0.585310 | ||||||||
\(335\) | 18.6969 | 1.02152 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −23.3939 | −1.27435 | −0.637173 | − | 0.770721i | \(-0.719896\pi\) | ||||
−0.637173 | + | 0.770721i | \(0.719896\pi\) | |||||||
\(338\) | 11.0000 | 0.598321 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −2.89898 | −0.157219 | ||||||||
\(341\) | 12.0000 | 0.649836 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −1.00000 | −0.0539949 | ||||||||
\(344\) | 6.89898 | 0.371968 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −3.10102 | −0.166712 | ||||||||
\(347\) | 19.5959 | 1.05196 | 0.525982 | − | 0.850496i | \(-0.323698\pi\) | ||||
0.525982 | + | 0.850496i | \(0.323698\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 11.1010 | 0.594224 | 0.297112 | − | 0.954843i | \(-0.403977\pi\) | ||||
0.297112 | + | 0.954843i | \(0.403977\pi\) | |||||||
\(350\) | 2.89898 | 0.154957 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 2.00000 | 0.106600 | ||||||||
\(353\) | −6.00000 | −0.319348 | −0.159674 | − | 0.987170i | \(-0.551044\pi\) | ||||
−0.159674 | + | 0.987170i | \(0.551044\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −0.146428 | −0.00777160 | ||||||||
\(356\) | −16.8990 | −0.895644 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 20.6969 | 1.09387 | ||||||||
\(359\) | −8.79796 | −0.464339 | −0.232169 | − | 0.972675i | \(-0.574582\pi\) | ||||
−0.232169 | + | 0.972675i | \(0.574582\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −12.4949 | −0.657626 | ||||||||
\(362\) | −10.3485 | −0.543903 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −4.89898 | −0.256776 | ||||||||
\(365\) | 10.0000 | 0.523424 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −13.7980 | −0.720248 | −0.360124 | − | 0.932905i | \(-0.617266\pi\) | ||||
−0.360124 | + | 0.932905i | \(0.617266\pi\) | |||||||
\(368\) | −1.00000 | −0.0521286 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −17.1010 | −0.889040 | ||||||||
\(371\) | 10.8990 | 0.565847 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −6.89898 | −0.357216 | −0.178608 | − | 0.983920i | \(-0.557159\pi\) | ||||
−0.178608 | + | 0.983920i | \(0.557159\pi\) | |||||||
\(374\) | 4.00000 | 0.206835 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 9.79796 | 0.505291 | ||||||||
\(377\) | −33.7980 | −1.74068 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 22.4949 | 1.15549 | 0.577743 | − | 0.816219i | \(-0.303934\pi\) | ||||
0.577743 | + | 0.816219i | \(0.303934\pi\) | |||||||
\(380\) | −3.69694 | −0.189649 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 4.10102 | 0.209826 | ||||||||
\(383\) | −2.89898 | −0.148131 | −0.0740655 | − | 0.997253i | \(-0.523597\pi\) | ||||
−0.0740655 | + | 0.997253i | \(0.523597\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 2.89898 | 0.147746 | ||||||||
\(386\) | −17.8990 | −0.911034 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 2.89898 | 0.147173 | ||||||||
\(389\) | −24.8990 | −1.26243 | −0.631214 | − | 0.775609i | \(-0.717443\pi\) | ||||
−0.631214 | + | 0.775609i | \(0.717443\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −2.00000 | −0.101144 | ||||||||
\(392\) | 1.00000 | 0.0505076 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 16.6969 | 0.841180 | ||||||||
\(395\) | 2.75255 | 0.138496 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 38.6969 | 1.94214 | 0.971072 | − | 0.238788i | \(-0.0767500\pi\) | ||||
0.971072 | + | 0.238788i | \(0.0767500\pi\) | |||||||
\(398\) | −2.89898 | −0.145313 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −2.89898 | −0.144949 | ||||||||
\(401\) | −19.8990 | −0.993708 | −0.496854 | − | 0.867834i | \(-0.665511\pi\) | ||||
−0.496854 | + | 0.867834i | \(0.665511\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 29.3939 | 1.46421 | ||||||||
\(404\) | −17.2474 | −0.858093 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 6.89898 | 0.342391 | ||||||||
\(407\) | 23.5959 | 1.16961 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −13.7980 | −0.682265 | −0.341133 | − | 0.940015i | \(-0.610811\pi\) | ||||
−0.341133 | + | 0.940015i | \(0.610811\pi\) | |||||||
\(410\) | −14.2020 | −0.701389 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 14.0000 | 0.689730 | ||||||||
\(413\) | 2.00000 | 0.0984136 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −2.89898 | −0.142305 | ||||||||
\(416\) | 4.89898 | 0.240192 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 5.10102 | 0.249499 | ||||||||
\(419\) | 29.4495 | 1.43870 | 0.719351 | − | 0.694647i | \(-0.244439\pi\) | ||||
0.719351 | + | 0.694647i | \(0.244439\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 22.8990 | 1.11603 | 0.558014 | − | 0.829832i | \(-0.311564\pi\) | ||||
0.558014 | + | 0.829832i | \(0.311564\pi\) | |||||||
\(422\) | 12.8990 | 0.627912 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −10.8990 | −0.529301 | ||||||||
\(425\) | −5.79796 | −0.281242 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −6.55051 | −0.317001 | ||||||||
\(428\) | −12.0000 | −0.580042 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −10.0000 | −0.482243 | ||||||||
\(431\) | 31.5959 | 1.52192 | 0.760961 | − | 0.648798i | \(-0.224728\pi\) | ||||
0.760961 | + | 0.648798i | \(0.224728\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −7.79796 | −0.374746 | −0.187373 | − | 0.982289i | \(-0.559997\pi\) | ||||
−0.187373 | + | 0.982289i | \(0.559997\pi\) | |||||||
\(434\) | −6.00000 | −0.288009 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 12.6969 | 0.608073 | ||||||||
\(437\) | −2.55051 | −0.122007 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 2.20204 | 0.105098 | 0.0525488 | − | 0.998618i | \(-0.483265\pi\) | ||||
0.0525488 | + | 0.998618i | \(0.483265\pi\) | |||||||
\(440\) | −2.89898 | −0.138203 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 9.79796 | 0.466041 | ||||||||
\(443\) | −14.8990 | −0.707872 | −0.353936 | − | 0.935270i | \(-0.615157\pi\) | ||||
−0.353936 | + | 0.935270i | \(0.615157\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 24.4949 | 1.16117 | ||||||||
\(446\) | −11.1010 | −0.525649 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −1.00000 | −0.0472456 | ||||||||
\(449\) | 20.5959 | 0.971981 | 0.485991 | − | 0.873964i | \(-0.338459\pi\) | ||||
0.485991 | + | 0.873964i | \(0.338459\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 19.5959 | 0.922736 | ||||||||
\(452\) | −6.10102 | −0.286968 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −5.44949 | −0.255757 | ||||||||
\(455\) | 7.10102 | 0.332901 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −17.4949 | −0.818377 | −0.409188 | − | 0.912450i | \(-0.634188\pi\) | ||||
−0.409188 | + | 0.912450i | \(0.634188\pi\) | |||||||
\(458\) | 1.24745 | 0.0582895 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 1.44949 | 0.0675828 | ||||||||
\(461\) | 5.65153 | 0.263218 | 0.131609 | − | 0.991302i | \(-0.457986\pi\) | ||||
0.131609 | + | 0.991302i | \(0.457986\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 3.69694 | 0.171811 | 0.0859057 | − | 0.996303i | \(-0.472622\pi\) | ||||
0.0859057 | + | 0.996303i | \(0.472622\pi\) | |||||||
\(464\) | −6.89898 | −0.320277 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −7.00000 | −0.324269 | ||||||||
\(467\) | 10.0000 | 0.462745 | 0.231372 | − | 0.972865i | \(-0.425678\pi\) | ||||
0.231372 | + | 0.972865i | \(0.425678\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 12.8990 | 0.595620 | ||||||||
\(470\) | −14.2020 | −0.655091 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −2.00000 | −0.0920575 | ||||||||
\(473\) | 13.7980 | 0.634431 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −7.39388 | −0.339254 | ||||||||
\(476\) | −2.00000 | −0.0916698 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 6.79796 | 0.310931 | ||||||||
\(479\) | 9.59592 | 0.438449 | 0.219224 | − | 0.975674i | \(-0.429647\pi\) | ||||
0.219224 | + | 0.975674i | \(0.429647\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 57.7980 | 2.63536 | ||||||||
\(482\) | 0.898979 | 0.0409474 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −7.00000 | −0.318182 | ||||||||
\(485\) | −4.20204 | −0.190805 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −36.3939 | −1.64916 | −0.824582 | − | 0.565742i | \(-0.808590\pi\) | ||||
−0.824582 | + | 0.565742i | \(0.808590\pi\) | |||||||
\(488\) | 6.55051 | 0.296528 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −1.44949 | −0.0654813 | ||||||||
\(491\) | 15.7980 | 0.712952 | 0.356476 | − | 0.934304i | \(-0.383978\pi\) | ||||
0.356476 | + | 0.934304i | \(0.383978\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −13.7980 | −0.621429 | ||||||||
\(494\) | 12.4949 | 0.562172 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 6.00000 | 0.269408 | ||||||||
\(497\) | −0.101021 | −0.00453139 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −25.3939 | −1.13679 | −0.568393 | − | 0.822757i | \(-0.692435\pi\) | ||||
−0.568393 | + | 0.822757i | \(0.692435\pi\) | |||||||
\(500\) | 11.4495 | 0.512037 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 17.4495 | 0.778809 | ||||||||
\(503\) | −24.4949 | −1.09217 | −0.546087 | − | 0.837729i | \(-0.683883\pi\) | ||||
−0.546087 | + | 0.837729i | \(0.683883\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 25.0000 | 1.11249 | ||||||||
\(506\) | −2.00000 | −0.0889108 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −3.00000 | −0.133103 | ||||||||
\(509\) | −7.10102 | −0.314747 | −0.157374 | − | 0.987539i | \(-0.550303\pi\) | ||||
−0.157374 | + | 0.987539i | \(0.550303\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 6.89898 | 0.305193 | ||||||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 8.20204 | 0.361777 | ||||||||
\(515\) | −20.2929 | −0.894210 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 19.5959 | 0.861827 | ||||||||
\(518\) | −11.7980 | −0.518373 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −7.10102 | −0.311400 | ||||||||
\(521\) | −9.30306 | −0.407575 | −0.203787 | − | 0.979015i | \(-0.565325\pi\) | ||||
−0.203787 | + | 0.979015i | \(0.565325\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −14.3485 | −0.627415 | −0.313707 | − | 0.949520i | \(-0.601571\pi\) | ||||
−0.313707 | + | 0.949520i | \(0.601571\pi\) | |||||||
\(524\) | −8.55051 | −0.373531 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 25.8990 | 1.12925 | ||||||||
\(527\) | 12.0000 | 0.522728 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −22.0000 | −0.956522 | ||||||||
\(530\) | 15.7980 | 0.686219 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −2.55051 | −0.110579 | ||||||||
\(533\) | 48.0000 | 2.07911 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 17.3939 | 0.752003 | ||||||||
\(536\) | −12.8990 | −0.557151 | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −18.3485 | −0.791059 | ||||||||
\(539\) | 2.00000 | 0.0861461 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −18.4949 | −0.795158 | −0.397579 | − | 0.917568i | \(-0.630149\pi\) | ||||
−0.397579 | + | 0.917568i | \(0.630149\pi\) | |||||||
\(542\) | 7.10102 | 0.305015 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 2.00000 | 0.0857493 | ||||||||
\(545\) | −18.4041 | −0.788344 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −7.59592 | −0.324778 | −0.162389 | − | 0.986727i | \(-0.551920\pi\) | ||||
−0.162389 | + | 0.986727i | \(0.551920\pi\) | |||||||
\(548\) | 7.79796 | 0.333112 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −5.79796 | −0.247226 | ||||||||
\(551\) | −17.5959 | −0.749611 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 1.89898 | 0.0807528 | ||||||||
\(554\) | −18.6969 | −0.794357 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 4.55051 | 0.192985 | ||||||||
\(557\) | −12.8990 | −0.546547 | −0.273274 | − | 0.961936i | \(-0.588106\pi\) | ||||
−0.273274 | + | 0.961936i | \(0.588106\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 33.7980 | 1.42950 | ||||||||
\(560\) | 1.44949 | 0.0612521 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −19.0000 | −0.801467 | ||||||||
\(563\) | −39.9444 | −1.68346 | −0.841728 | − | 0.539902i | \(-0.818461\pi\) | ||||
−0.841728 | + | 0.539902i | \(0.818461\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 8.84337 | 0.372043 | ||||||||
\(566\) | −25.4495 | −1.06972 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0.101021 | 0.00423873 | ||||||||
\(569\) | −30.0000 | −1.25767 | −0.628833 | − | 0.777541i | \(-0.716467\pi\) | ||||
−0.628833 | + | 0.777541i | \(0.716467\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 33.7980 | 1.41440 | 0.707200 | − | 0.707013i | \(-0.249958\pi\) | ||||
0.707200 | + | 0.707013i | \(0.249958\pi\) | |||||||
\(572\) | 9.79796 | 0.409673 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −9.79796 | −0.408959 | ||||||||
\(575\) | 2.89898 | 0.120896 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −15.5959 | −0.649267 | −0.324633 | − | 0.945840i | \(-0.605241\pi\) | ||||
−0.324633 | + | 0.945840i | \(0.605241\pi\) | |||||||
\(578\) | −13.0000 | −0.540729 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 10.0000 | 0.415227 | ||||||||
\(581\) | −2.00000 | −0.0829740 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −21.7980 | −0.902779 | ||||||||
\(584\) | −6.89898 | −0.285482 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 2.75255 | 0.113707 | ||||||||
\(587\) | 16.1464 | 0.666434 | 0.333217 | − | 0.942850i | \(-0.391866\pi\) | ||||
0.333217 | + | 0.942850i | \(0.391866\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 15.3031 | 0.630552 | ||||||||
\(590\) | 2.89898 | 0.119349 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 11.7980 | 0.484893 | ||||||||
\(593\) | 14.6969 | 0.603531 | 0.301765 | − | 0.953382i | \(-0.402424\pi\) | ||||
0.301765 | + | 0.953382i | \(0.402424\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 2.89898 | 0.118847 | ||||||||
\(596\) | −6.00000 | −0.245770 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −4.89898 | −0.200334 | ||||||||
\(599\) | −33.7980 | −1.38095 | −0.690474 | − | 0.723358i | \(-0.742598\pi\) | ||||
−0.690474 | + | 0.723358i | \(0.742598\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 16.6969 | 0.681082 | 0.340541 | − | 0.940230i | \(-0.389390\pi\) | ||||
0.340541 | + | 0.940230i | \(0.389390\pi\) | |||||||
\(602\) | −6.89898 | −0.281181 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −5.00000 | −0.203447 | ||||||||
\(605\) | 10.1464 | 0.412511 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 20.6969 | 0.840063 | 0.420031 | − | 0.907510i | \(-0.362019\pi\) | ||||
0.420031 | + | 0.907510i | \(0.362019\pi\) | |||||||
\(608\) | 2.55051 | 0.103437 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −9.49490 | −0.384437 | ||||||||
\(611\) | 48.0000 | 1.94187 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −14.6969 | −0.593604 | −0.296802 | − | 0.954939i | \(-0.595920\pi\) | ||||
−0.296802 | + | 0.954939i | \(0.595920\pi\) | |||||||
\(614\) | 25.2474 | 1.01890 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −2.00000 | −0.0805823 | ||||||||
\(617\) | −15.3939 | −0.619734 | −0.309867 | − | 0.950780i | \(-0.600285\pi\) | ||||
−0.309867 | + | 0.950780i | \(0.600285\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 30.1464 | 1.21169 | 0.605844 | − | 0.795584i | \(-0.292836\pi\) | ||||
0.605844 | + | 0.795584i | \(0.292836\pi\) | |||||||
\(620\) | −8.69694 | −0.349277 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 30.6969 | 1.23084 | ||||||||
\(623\) | 16.8990 | 0.677043 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −2.10102 | −0.0840408 | ||||||||
\(626\) | −4.69694 | −0.187727 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −8.34847 | −0.333140 | ||||||||
\(629\) | 23.5959 | 0.940831 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 27.8990 | 1.11064 | 0.555320 | − | 0.831636i | \(-0.312596\pi\) | ||||
0.555320 | + | 0.831636i | \(0.312596\pi\) | |||||||
\(632\) | −1.89898 | −0.0755373 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 20.6969 | 0.821980 | ||||||||
\(635\) | 4.34847 | 0.172564 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 4.89898 | 0.194105 | ||||||||
\(638\) | −13.7980 | −0.546266 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −1.44949 | −0.0572961 | ||||||||
\(641\) | −7.49490 | −0.296031 | −0.148015 | − | 0.988985i | \(-0.547288\pi\) | ||||
−0.148015 | + | 0.988985i | \(0.547288\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −39.3939 | −1.55354 | −0.776771 | − | 0.629783i | \(-0.783144\pi\) | ||||
−0.776771 | + | 0.629783i | \(0.783144\pi\) | |||||||
\(644\) | 1.00000 | 0.0394055 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 5.10102 | 0.200697 | ||||||||
\(647\) | −50.6969 | −1.99310 | −0.996551 | − | 0.0829807i | \(-0.973556\pi\) | ||||
−0.996551 | + | 0.0829807i | \(0.973556\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −4.00000 | −0.157014 | ||||||||
\(650\) | −14.2020 | −0.557050 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −19.7980 | −0.775348 | ||||||||
\(653\) | 9.79796 | 0.383424 | 0.191712 | − | 0.981451i | \(-0.438596\pi\) | ||||
0.191712 | + | 0.981451i | \(0.438596\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 12.3939 | 0.484269 | ||||||||
\(656\) | 9.79796 | 0.382546 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −9.79796 | −0.381964 | ||||||||
\(659\) | −24.6969 | −0.962056 | −0.481028 | − | 0.876705i | \(-0.659736\pi\) | ||||
−0.481028 | + | 0.876705i | \(0.659736\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 4.55051 | 0.176994 | 0.0884972 | − | 0.996076i | \(-0.471794\pi\) | ||||
0.0884972 | + | 0.996076i | \(0.471794\pi\) | |||||||
\(662\) | 4.69694 | 0.182552 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 2.00000 | 0.0776151 | ||||||||
\(665\) | 3.69694 | 0.143361 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 6.89898 | 0.267130 | ||||||||
\(668\) | −10.6969 | −0.413877 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 18.6969 | 0.722326 | ||||||||
\(671\) | 13.1010 | 0.505759 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −8.59592 | −0.331348 | −0.165674 | − | 0.986181i | \(-0.552980\pi\) | ||||
−0.165674 | + | 0.986181i | \(0.552980\pi\) | |||||||
\(674\) | −23.3939 | −0.901098 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 11.0000 | 0.423077 | ||||||||
\(677\) | 14.6969 | 0.564849 | 0.282425 | − | 0.959289i | \(-0.408861\pi\) | ||||
0.282425 | + | 0.959289i | \(0.408861\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −2.89898 | −0.111253 | ||||||||
\(680\) | −2.89898 | −0.111171 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 12.0000 | 0.459504 | ||||||||
\(683\) | 51.7980 | 1.98199 | 0.990997 | − | 0.133885i | \(-0.0427452\pi\) | ||||
0.990997 | + | 0.133885i | \(0.0427452\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −11.3031 | −0.431868 | ||||||||
\(686\) | −1.00000 | −0.0381802 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 6.89898 | 0.263021 | ||||||||
\(689\) | −53.3939 | −2.03414 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 51.0454 | 1.94186 | 0.970929 | − | 0.239366i | \(-0.0769396\pi\) | ||||
0.970929 | + | 0.239366i | \(0.0769396\pi\) | |||||||
\(692\) | −3.10102 | −0.117883 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 19.5959 | 0.743851 | ||||||||
\(695\) | −6.59592 | −0.250197 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 19.5959 | 0.742248 | ||||||||
\(698\) | 11.1010 | 0.420180 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 2.89898 | 0.109571 | ||||||||
\(701\) | −7.39388 | −0.279263 | −0.139631 | − | 0.990204i | \(-0.544592\pi\) | ||||
−0.139631 | + | 0.990204i | \(0.544592\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 30.0908 | 1.13490 | ||||||||
\(704\) | 2.00000 | 0.0753778 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −6.00000 | −0.225813 | ||||||||
\(707\) | 17.2474 | 0.648657 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 27.5959 | 1.03639 | 0.518193 | − | 0.855264i | \(-0.326605\pi\) | ||||
0.518193 | + | 0.855264i | \(0.326605\pi\) | |||||||
\(710\) | −0.146428 | −0.00549535 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −16.8990 | −0.633316 | ||||||||
\(713\) | −6.00000 | −0.224702 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −14.2020 | −0.531126 | ||||||||
\(716\) | 20.6969 | 0.773481 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −8.79796 | −0.328337 | ||||||||
\(719\) | 9.79796 | 0.365402 | 0.182701 | − | 0.983169i | \(-0.441516\pi\) | ||||
0.182701 | + | 0.983169i | \(0.441516\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −14.0000 | −0.521387 | ||||||||
\(722\) | −12.4949 | −0.465012 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −10.3485 | −0.384598 | ||||||||
\(725\) | 20.0000 | 0.742781 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −8.49490 | −0.315058 | −0.157529 | − | 0.987514i | \(-0.550353\pi\) | ||||
−0.157529 | + | 0.987514i | \(0.550353\pi\) | |||||||
\(728\) | −4.89898 | −0.181568 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 10.0000 | 0.370117 | ||||||||
\(731\) | 13.7980 | 0.510336 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −17.4495 | −0.644512 | −0.322256 | − | 0.946653i | \(-0.604441\pi\) | ||||
−0.322256 | + | 0.946653i | \(0.604441\pi\) | |||||||
\(734\) | −13.7980 | −0.509292 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −1.00000 | −0.0368605 | ||||||||
\(737\) | −25.7980 | −0.950280 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 13.5959 | 0.500134 | 0.250067 | − | 0.968229i | \(-0.419547\pi\) | ||||
0.250067 | + | 0.968229i | \(0.419547\pi\) | |||||||
\(740\) | −17.1010 | −0.628646 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 10.8990 | 0.400114 | ||||||||
\(743\) | 36.0000 | 1.32071 | 0.660356 | − | 0.750953i | \(-0.270405\pi\) | ||||
0.660356 | + | 0.750953i | \(0.270405\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 8.69694 | 0.318631 | ||||||||
\(746\) | −6.89898 | −0.252590 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 4.00000 | 0.146254 | ||||||||
\(749\) | 12.0000 | 0.438470 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 1.40408 | 0.0512357 | 0.0256178 | − | 0.999672i | \(-0.491845\pi\) | ||||
0.0256178 | + | 0.999672i | \(0.491845\pi\) | |||||||
\(752\) | 9.79796 | 0.357295 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −33.7980 | −1.23085 | ||||||||
\(755\) | 7.24745 | 0.263762 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −35.3939 | −1.28641 | −0.643206 | − | 0.765693i | \(-0.722396\pi\) | ||||
−0.643206 | + | 0.765693i | \(0.722396\pi\) | |||||||
\(758\) | 22.4949 | 0.817051 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −3.69694 | −0.134102 | ||||||||
\(761\) | 2.00000 | 0.0724999 | 0.0362500 | − | 0.999343i | \(-0.488459\pi\) | ||||
0.0362500 | + | 0.999343i | \(0.488459\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −12.6969 | −0.459660 | ||||||||
\(764\) | 4.10102 | 0.148370 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −2.89898 | −0.104744 | ||||||||
\(767\) | −9.79796 | −0.353784 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −34.0908 | −1.22935 | −0.614673 | − | 0.788782i | \(-0.710712\pi\) | ||||
−0.614673 | + | 0.788782i | \(0.710712\pi\) | |||||||
\(770\) | 2.89898 | 0.104472 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −17.8990 | −0.644198 | ||||||||
\(773\) | 33.9444 | 1.22089 | 0.610447 | − | 0.792057i | \(-0.290990\pi\) | ||||
0.610447 | + | 0.792057i | \(0.290990\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −17.3939 | −0.624807 | ||||||||
\(776\) | 2.89898 | 0.104067 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −24.8990 | −0.892672 | ||||||||
\(779\) | 24.9898 | 0.895352 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0.202041 | 0.00722960 | ||||||||
\(782\) | −2.00000 | −0.0715199 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 1.00000 | 0.0357143 | ||||||||
\(785\) | 12.1010 | 0.431904 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −11.3939 | −0.406148 | −0.203074 | − | 0.979163i | \(-0.565093\pi\) | ||||
−0.203074 | + | 0.979163i | \(0.565093\pi\) | |||||||
\(788\) | 16.6969 | 0.594804 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 2.75255 | 0.0979314 | ||||||||
\(791\) | 6.10102 | 0.216927 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 32.0908 | 1.13958 | ||||||||
\(794\) | 38.6969 | 1.37330 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −2.89898 | −0.102752 | ||||||||
\(797\) | −17.9444 | −0.635623 | −0.317811 | − | 0.948154i | \(-0.602948\pi\) | ||||
−0.317811 | + | 0.948154i | \(0.602948\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 19.5959 | 0.693254 | ||||||||
\(800\) | −2.89898 | −0.102494 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −19.8990 | −0.702657 | ||||||||
\(803\) | −13.7980 | −0.486919 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −1.44949 | −0.0510878 | ||||||||
\(806\) | 29.3939 | 1.03536 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −17.2474 | −0.606763 | ||||||||
\(809\) | −16.2020 | −0.569633 | −0.284817 | − | 0.958582i | \(-0.591933\pi\) | ||||
−0.284817 | + | 0.958582i | \(0.591933\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −2.00000 | −0.0702295 | −0.0351147 | − | 0.999383i | \(-0.511180\pi\) | ||||
−0.0351147 | + | 0.999383i | \(0.511180\pi\) | |||||||
\(812\) | 6.89898 | 0.242107 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 23.5959 | 0.827036 | ||||||||
\(815\) | 28.6969 | 1.00521 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 17.5959 | 0.615603 | ||||||||
\(818\) | −13.7980 | −0.482434 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −14.2020 | −0.495957 | ||||||||
\(821\) | 0.404082 | 0.0141026 | 0.00705128 | − | 0.999975i | \(-0.497755\pi\) | ||||
0.00705128 | + | 0.999975i | \(0.497755\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −13.3939 | −0.466881 | −0.233441 | − | 0.972371i | \(-0.574998\pi\) | ||||
−0.233441 | + | 0.972371i | \(0.574998\pi\) | |||||||
\(824\) | 14.0000 | 0.487713 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 2.00000 | 0.0695889 | ||||||||
\(827\) | −36.4949 | −1.26905 | −0.634526 | − | 0.772902i | \(-0.718805\pi\) | ||||
−0.634526 | + | 0.772902i | \(0.718805\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 1.30306 | 0.0452572 | 0.0226286 | − | 0.999744i | \(-0.492796\pi\) | ||||
0.0226286 | + | 0.999744i | \(0.492796\pi\) | |||||||
\(830\) | −2.89898 | −0.100625 | ||||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 4.89898 | 0.169842 | ||||||||
\(833\) | 2.00000 | 0.0692959 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 15.5051 | 0.536576 | ||||||||
\(836\) | 5.10102 | 0.176422 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 29.4495 | 1.01732 | ||||||||
\(839\) | −35.1010 | −1.21182 | −0.605911 | − | 0.795533i | \(-0.707191\pi\) | ||||
−0.605911 | + | 0.795533i | \(0.707191\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 18.5959 | 0.641239 | ||||||||
\(842\) | 22.8990 | 0.789151 | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 12.8990 | 0.444001 | ||||||||
\(845\) | −15.9444 | −0.548504 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 7.00000 | 0.240523 | ||||||||
\(848\) | −10.8990 | −0.374272 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −5.79796 | −0.198868 | ||||||||
\(851\) | −11.7980 | −0.404429 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 24.8434 | 0.850621 | 0.425310 | − | 0.905048i | \(-0.360165\pi\) | ||||
0.425310 | + | 0.905048i | \(0.360165\pi\) | |||||||
\(854\) | −6.55051 | −0.224154 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −12.0000 | −0.410152 | ||||||||
\(857\) | −34.8990 | −1.19213 | −0.596063 | − | 0.802938i | \(-0.703269\pi\) | ||||
−0.596063 | + | 0.802938i | \(0.703269\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −10.0000 | −0.341196 | −0.170598 | − | 0.985341i | \(-0.554570\pi\) | ||||
−0.170598 | + | 0.985341i | \(0.554570\pi\) | |||||||
\(860\) | −10.0000 | −0.340997 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 31.5959 | 1.07616 | ||||||||
\(863\) | 11.8990 | 0.405046 | 0.202523 | − | 0.979278i | \(-0.435086\pi\) | ||||
0.202523 | + | 0.979278i | \(0.435086\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 4.49490 | 0.152831 | ||||||||
\(866\) | −7.79796 | −0.264985 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −6.00000 | −0.203653 | ||||||||
\(869\) | −3.79796 | −0.128837 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −63.1918 | −2.14117 | ||||||||
\(872\) | 12.6969 | 0.429973 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −2.55051 | −0.0862723 | ||||||||
\(875\) | −11.4495 | −0.387063 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 22.4949 | 0.759599 | 0.379799 | − | 0.925069i | \(-0.375993\pi\) | ||||
0.379799 | + | 0.925069i | \(0.375993\pi\) | |||||||
\(878\) | 2.20204 | 0.0743153 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −2.89898 | −0.0977246 | ||||||||
\(881\) | 19.5959 | 0.660203 | 0.330102 | − | 0.943945i | \(-0.392917\pi\) | ||||
0.330102 | + | 0.943945i | \(0.392917\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −19.7980 | −0.666254 | −0.333127 | − | 0.942882i | \(-0.608104\pi\) | ||||
−0.333127 | + | 0.942882i | \(0.608104\pi\) | |||||||
\(884\) | 9.79796 | 0.329541 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −14.8990 | −0.500541 | ||||||||
\(887\) | −14.2020 | −0.476858 | −0.238429 | − | 0.971160i | \(-0.576632\pi\) | ||||
−0.238429 | + | 0.971160i | \(0.576632\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 3.00000 | 0.100617 | ||||||||
\(890\) | 24.4949 | 0.821071 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −11.1010 | −0.371690 | ||||||||
\(893\) | 24.9898 | 0.836252 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −30.0000 | −1.00279 | ||||||||
\(896\) | −1.00000 | −0.0334077 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 20.5959 | 0.687295 | ||||||||
\(899\) | −41.3939 | −1.38056 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −21.7980 | −0.726195 | ||||||||
\(902\) | 19.5959 | 0.652473 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −6.10102 | −0.202917 | ||||||||
\(905\) | 15.0000 | 0.498617 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 2.69694 | 0.0895504 | 0.0447752 | − | 0.998997i | \(-0.485743\pi\) | ||||
0.0447752 | + | 0.998997i | \(0.485743\pi\) | |||||||
\(908\) | −5.44949 | −0.180848 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 7.10102 | 0.235397 | ||||||||
\(911\) | 51.9898 | 1.72250 | 0.861249 | − | 0.508183i | \(-0.169682\pi\) | ||||
0.861249 | + | 0.508183i | \(0.169682\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 4.00000 | 0.132381 | ||||||||
\(914\) | −17.4949 | −0.578680 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 1.24745 | 0.0412169 | ||||||||
\(917\) | 8.55051 | 0.282363 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −25.6969 | −0.847664 | −0.423832 | − | 0.905741i | \(-0.639315\pi\) | ||||
−0.423832 | + | 0.905741i | \(0.639315\pi\) | |||||||
\(920\) | 1.44949 | 0.0477883 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 5.65153 | 0.186123 | ||||||||
\(923\) | 0.494897 | 0.0162897 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −34.2020 | −1.12456 | ||||||||
\(926\) | 3.69694 | 0.121489 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −6.89898 | −0.226470 | ||||||||
\(929\) | 34.2929 | 1.12511 | 0.562556 | − | 0.826759i | \(-0.309818\pi\) | ||||
0.562556 | + | 0.826759i | \(0.309818\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 2.55051 | 0.0835896 | ||||||||
\(932\) | −7.00000 | −0.229293 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 10.0000 | 0.327210 | ||||||||
\(935\) | −5.79796 | −0.189614 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 45.5959 | 1.48955 | 0.744777 | − | 0.667314i | \(-0.232556\pi\) | ||||
0.744777 | + | 0.667314i | \(0.232556\pi\) | |||||||
\(938\) | 12.8990 | 0.421167 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −14.2020 | −0.463220 | ||||||||
\(941\) | −1.44949 | −0.0472520 | −0.0236260 | − | 0.999721i | \(-0.507521\pi\) | ||||
−0.0236260 | + | 0.999721i | \(0.507521\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −9.79796 | −0.319065 | ||||||||
\(944\) | −2.00000 | −0.0650945 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 13.7980 | 0.448610 | ||||||||
\(947\) | 52.4949 | 1.70585 | 0.852927 | − | 0.522029i | \(-0.174825\pi\) | ||||
0.852927 | + | 0.522029i | \(0.174825\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −33.7980 | −1.09713 | ||||||||
\(950\) | −7.39388 | −0.239889 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −2.00000 | −0.0648204 | ||||||||
\(953\) | −3.39388 | −0.109938 | −0.0549692 | − | 0.998488i | \(-0.517506\pi\) | ||||
−0.0549692 | + | 0.998488i | \(0.517506\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −5.94439 | −0.192356 | ||||||||
\(956\) | 6.79796 | 0.219862 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 9.59592 | 0.310030 | ||||||||
\(959\) | −7.79796 | −0.251809 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 5.00000 | 0.161290 | ||||||||
\(962\) | 57.7980 | 1.86348 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 0.898979 | 0.0289542 | ||||||||
\(965\) | 25.9444 | 0.835179 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 24.5959 | 0.790951 | 0.395476 | − | 0.918476i | \(-0.370580\pi\) | ||||
0.395476 | + | 0.918476i | \(0.370580\pi\) | |||||||
\(968\) | −7.00000 | −0.224989 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −4.20204 | −0.134919 | ||||||||
\(971\) | −0.0556128 | −0.00178470 | −0.000892350 | − | 1.00000i | \(-0.500284\pi\) | ||||
−0.000892350 | 1.00000i | \(0.500284\pi\) | ||||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −4.55051 | −0.145883 | ||||||||
\(974\) | −36.3939 | −1.16614 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 6.55051 | 0.209677 | ||||||||
\(977\) | −37.5959 | −1.20280 | −0.601400 | − | 0.798948i | \(-0.705390\pi\) | ||||
−0.601400 | + | 0.798948i | \(0.705390\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −33.7980 | −1.08019 | ||||||||
\(980\) | −1.44949 | −0.0463023 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 15.7980 | 0.504133 | ||||||||
\(983\) | −33.1918 | −1.05866 | −0.529328 | − | 0.848418i | \(-0.677556\pi\) | ||||
−0.529328 | + | 0.848418i | \(0.677556\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −24.2020 | −0.771141 | ||||||||
\(986\) | −13.7980 | −0.439417 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 12.4949 | 0.397516 | ||||||||
\(989\) | −6.89898 | −0.219375 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −1.79796 | −0.0571140 | −0.0285570 | − | 0.999592i | \(-0.509091\pi\) | ||||
−0.0285570 | + | 0.999592i | \(0.509091\pi\) | |||||||
\(992\) | 6.00000 | 0.190500 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −0.101021 | −0.00320418 | ||||||||
\(995\) | 4.20204 | 0.133214 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 52.1464 | 1.65149 | 0.825747 | − | 0.564041i | \(-0.190754\pi\) | ||||
0.825747 | + | 0.564041i | \(0.190754\pi\) | |||||||
\(998\) | −25.3939 | −0.803829 | ||||||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))