Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [208,2,Mod(1,208)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(208, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 0, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("208.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 208 = 2^{4} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 208.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: | \(1.66088836204\) |
Analytic rank: | \(0\) |
Dimension: | \(2\) |
Coefficient field: | \(\Q(\sqrt{17}) \) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{2} - x - 4 \)
|
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 104) |
Fricke sign: | \(-1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.2 | ||
Root | \(-1.56155\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 208.1 |
$q$-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 | ||||||||
\(3\) | 1.56155 | 0.901563 | 0.450781 | − | 0.892634i | \(-0.351145\pi\) | ||||
0.450781 | + | 0.892634i | \(0.351145\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 3.56155 | 1.59277 | 0.796387 | − | 0.604787i | \(-0.206742\pi\) | ||||
0.796387 | + | 0.604787i | \(0.206742\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.56155 | −0.590211 | −0.295106 | − | 0.955465i | \(-0.595355\pi\) | ||||
−0.295106 | + | 0.955465i | \(0.595355\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −0.561553 | −0.187184 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −3.12311 | −0.941652 | −0.470826 | − | 0.882226i | \(-0.656044\pi\) | ||||
−0.470826 | + | 0.882226i | \(0.656044\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.00000 | 0.277350 | ||||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 5.56155 | 1.43599 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −6.68466 | −1.62127 | −0.810634 | − | 0.585553i | \(-0.800877\pi\) | ||||
−0.810634 | + | 0.585553i | \(0.800877\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.12311 | 0.716490 | 0.358245 | − | 0.933628i | \(-0.383375\pi\) | ||||
0.358245 | + | 0.933628i | \(0.383375\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −2.43845 | −0.532113 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 8.00000 | 1.66812 | 0.834058 | − | 0.551677i | \(-0.186012\pi\) | ||||
0.834058 | + | 0.551677i | \(0.186012\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 7.68466 | 1.53693 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −5.56155 | −1.07032 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −2.00000 | −0.371391 | −0.185695 | − | 0.982607i | \(-0.559454\pi\) | ||||
−0.185695 | + | 0.982607i | \(0.559454\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −4.00000 | −0.718421 | −0.359211 | − | 0.933257i | \(-0.616954\pi\) | ||||
−0.359211 | + | 0.933257i | \(0.616954\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −4.87689 | −0.848958 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −5.56155 | −0.940074 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −2.68466 | −0.441355 | −0.220678 | − | 0.975347i | \(-0.570827\pi\) | ||||
−0.220678 | + | 0.975347i | \(0.570827\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 1.56155 | 0.250049 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 5.12311 | 0.800095 | 0.400047 | − | 0.916494i | \(-0.368994\pi\) | ||||
0.400047 | + | 0.916494i | \(0.368994\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −9.56155 | −1.45812 | −0.729062 | − | 0.684448i | \(-0.760043\pi\) | ||||
−0.729062 | + | 0.684448i | \(0.760043\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −2.00000 | −0.298142 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 12.6847 | 1.85025 | 0.925124 | − | 0.379666i | \(-0.123961\pi\) | ||||
0.925124 | + | 0.379666i | \(0.123961\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −4.56155 | −0.651650 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −10.4384 | −1.46167 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −5.12311 | −0.703713 | −0.351856 | − | 0.936054i | \(-0.614449\pi\) | ||||
−0.351856 | + | 0.936054i | \(0.614449\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −11.1231 | −1.49984 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 4.87689 | 0.645960 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 3.12311 | 0.406594 | 0.203297 | − | 0.979117i | \(-0.434834\pi\) | ||||
0.203297 | + | 0.979117i | \(0.434834\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.87689 | 0.368349 | 0.184174 | − | 0.982894i | \(-0.441039\pi\) | ||||
0.184174 | + | 0.982894i | \(0.441039\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0.876894 | 0.110478 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 3.56155 | 0.441756 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −3.12311 | −0.381548 | −0.190774 | − | 0.981634i | \(-0.561100\pi\) | ||||
−0.190774 | + | 0.981634i | \(0.561100\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 12.4924 | 1.50391 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −4.68466 | −0.555967 | −0.277983 | − | 0.960586i | \(-0.589666\pi\) | ||||
−0.277983 | + | 0.960586i | \(0.589666\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −6.00000 | −0.702247 | −0.351123 | − | 0.936329i | \(-0.614200\pi\) | ||||
−0.351123 | + | 0.936329i | \(0.614200\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 12.0000 | 1.38564 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 4.87689 | 0.555774 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −8.00000 | −0.900070 | −0.450035 | − | 0.893011i | \(-0.648589\pi\) | ||||
−0.450035 | + | 0.893011i | \(0.648589\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −7.00000 | −0.777778 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 14.2462 | 1.56372 | 0.781862 | − | 0.623451i | \(-0.214270\pi\) | ||||
0.781862 | + | 0.623451i | \(0.214270\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −23.8078 | −2.58231 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −3.12311 | −0.334832 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 10.0000 | 1.06000 | 0.529999 | − | 0.847998i | \(-0.322192\pi\) | ||||
0.529999 | + | 0.847998i | \(0.322192\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −1.56155 | −0.163695 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −6.24621 | −0.647702 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 11.1231 | 1.14121 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 8.24621 | 0.837276 | 0.418638 | − | 0.908153i | \(-0.362508\pi\) | ||||
0.418638 | + | 0.908153i | \(0.362508\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 1.75379 | 0.176262 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 1.12311 | 0.111753 | 0.0558766 | − | 0.998438i | \(-0.482205\pi\) | ||||
0.0558766 | + | 0.998438i | \(0.482205\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 14.2462 | 1.40372 | 0.701860 | − | 0.712314i | \(-0.252353\pi\) | ||||
0.701860 | + | 0.712314i | \(0.252353\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −8.68466 | −0.847536 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −4.00000 | −0.386695 | −0.193347 | − | 0.981130i | \(-0.561934\pi\) | ||||
−0.193347 | + | 0.981130i | \(0.561934\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 17.8078 | 1.70567 | 0.852837 | − | 0.522177i | \(-0.174880\pi\) | ||||
0.852837 | + | 0.522177i | \(0.174880\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −4.19224 | −0.397909 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 14.4924 | 1.36333 | 0.681666 | − | 0.731663i | \(-0.261256\pi\) | ||||
0.681666 | + | 0.731663i | \(0.261256\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 28.4924 | 2.65693 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −0.561553 | −0.0519156 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 10.4384 | 0.956891 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −1.24621 | −0.113292 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 8.00000 | 0.721336 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 9.56155 | 0.855211 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −6.24621 | −0.554262 | −0.277131 | − | 0.960832i | \(-0.589384\pi\) | ||||
−0.277131 | + | 0.960832i | \(0.589384\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −14.9309 | −1.31459 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −15.8078 | −1.38113 | −0.690565 | − | 0.723270i | \(-0.742638\pi\) | ||||
−0.690565 | + | 0.723270i | \(0.742638\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −4.87689 | −0.422880 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −19.8078 | −1.70478 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 5.12311 | 0.437696 | 0.218848 | − | 0.975759i | \(-0.429770\pi\) | ||||
0.218848 | + | 0.975759i | \(0.429770\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 4.68466 | 0.397348 | 0.198674 | − | 0.980066i | \(-0.436337\pi\) | ||||
0.198674 | + | 0.980066i | \(0.436337\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 19.8078 | 1.66811 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −3.12311 | −0.261167 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −7.12311 | −0.591542 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −7.12311 | −0.587504 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −0.246211 | −0.0201704 | −0.0100852 | − | 0.999949i | \(-0.503210\pi\) | ||||
−0.0100852 | + | 0.999949i | \(0.503210\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −6.43845 | −0.523953 | −0.261977 | − | 0.965074i | \(-0.584374\pi\) | ||||
−0.261977 | + | 0.965074i | \(0.584374\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 3.75379 | 0.303476 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −14.2462 | −1.14428 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 10.4924 | 0.837386 | 0.418693 | − | 0.908128i | \(-0.362488\pi\) | ||||
0.418693 | + | 0.908128i | \(0.362488\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −8.00000 | −0.634441 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −12.4924 | −0.984541 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −12.4924 | −0.978482 | −0.489241 | − | 0.872149i | \(-0.662726\pi\) | ||||
−0.489241 | + | 0.872149i | \(0.662726\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −17.3693 | −1.35220 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 2.24621 | 0.173817 | 0.0869085 | − | 0.996216i | \(-0.472301\pi\) | ||||
0.0869085 | + | 0.996216i | \(0.472301\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1.00000 | 0.0769231 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −1.75379 | −0.134116 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −13.1231 | −0.997731 | −0.498866 | − | 0.866679i | \(-0.666250\pi\) | ||||
−0.498866 | + | 0.866679i | \(0.666250\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −12.0000 | −0.907115 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 4.87689 | 0.366570 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 4.68466 | 0.350148 | 0.175074 | − | 0.984555i | \(-0.443984\pi\) | ||||
0.175074 | + | 0.984555i | \(0.443984\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −14.8769 | −1.10579 | −0.552895 | − | 0.833251i | \(-0.686477\pi\) | ||||
−0.552895 | + | 0.833251i | \(0.686477\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 4.49242 | 0.332089 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −9.56155 | −0.702979 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 20.8769 | 1.52667 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 8.68466 | 0.631716 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 9.36932 | 0.677940 | 0.338970 | − | 0.940797i | \(-0.389921\pi\) | ||||
0.338970 | + | 0.940797i | \(0.389921\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 3.36932 | 0.242529 | 0.121264 | − | 0.992620i | \(-0.461305\pi\) | ||||
0.121264 | + | 0.992620i | \(0.461305\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 5.56155 | 0.398271 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 14.6847 | 1.04624 | 0.523119 | − | 0.852259i | \(-0.324768\pi\) | ||||
0.523119 | + | 0.852259i | \(0.324768\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 3.12311 | 0.221391 | 0.110696 | − | 0.993854i | \(-0.464692\pi\) | ||||
0.110696 | + | 0.993854i | \(0.464692\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −4.87689 | −0.343990 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 3.12311 | 0.219199 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 18.2462 | 1.27437 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −4.49242 | −0.312245 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −9.75379 | −0.674684 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −3.31534 | −0.228238 | −0.114119 | − | 0.993467i | \(-0.536404\pi\) | ||||
−0.114119 | + | 0.993467i | \(0.536404\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −7.31534 | −0.501239 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −34.0540 | −2.32246 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 6.24621 | 0.424020 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −9.36932 | −0.633120 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −6.68466 | −0.449659 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 3.31534 | 0.222012 | 0.111006 | − | 0.993820i | \(-0.464593\pi\) | ||||
0.111006 | + | 0.993820i | \(0.464593\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −4.31534 | −0.287689 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 8.00000 | 0.530979 | 0.265489 | − | 0.964114i | \(-0.414466\pi\) | ||||
0.265489 | + | 0.964114i | \(0.414466\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −13.8078 | −0.912443 | −0.456221 | − | 0.889866i | \(-0.650797\pi\) | ||||
−0.456221 | + | 0.889866i | \(0.650797\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 7.61553 | 0.501065 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 13.8078 | 0.904577 | 0.452288 | − | 0.891872i | \(-0.350608\pi\) | ||||
0.452288 | + | 0.891872i | \(0.350608\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 45.1771 | 2.94703 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −12.4924 | −0.811470 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −1.56155 | −0.101008 | −0.0505042 | − | 0.998724i | \(-0.516083\pi\) | ||||
−0.0505042 | + | 0.998724i | \(0.516083\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −20.2462 | −1.30417 | −0.652087 | − | 0.758145i | \(-0.726106\pi\) | ||||
−0.652087 | + | 0.758145i | \(0.726106\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 5.75379 | 0.369106 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −16.2462 | −1.03793 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 3.12311 | 0.198718 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 22.2462 | 1.40980 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −5.75379 | −0.363176 | −0.181588 | − | 0.983375i | \(-0.558124\pi\) | ||||
−0.181588 | + | 0.983375i | \(0.558124\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −24.9848 | −1.57078 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −37.1771 | −2.32812 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 15.5616 | 0.970703 | 0.485351 | − | 0.874319i | \(-0.338692\pi\) | ||||
0.485351 | + | 0.874319i | \(0.338692\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 4.19224 | 0.260493 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 1.12311 | 0.0695185 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 9.75379 | 0.601444 | 0.300722 | − | 0.953712i | \(-0.402772\pi\) | ||||
0.300722 | + | 0.953712i | \(0.402772\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −18.2462 | −1.12086 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 15.6155 | 0.955655 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −13.1231 | −0.800130 | −0.400065 | − | 0.916487i | \(-0.631012\pi\) | ||||
−0.400065 | + | 0.916487i | \(0.631012\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 0.192236 | 0.0116775 | 0.00583875 | − | 0.999983i | \(-0.498141\pi\) | ||||
0.00583875 | + | 0.999983i | \(0.498141\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −2.43845 | −0.147582 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −24.0000 | −1.44725 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 4.63068 | 0.278231 | 0.139115 | − | 0.990276i | \(-0.455574\pi\) | ||||
0.139115 | + | 0.990276i | \(0.455574\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 2.24621 | 0.134477 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 10.0000 | 0.596550 | 0.298275 | − | 0.954480i | \(-0.403589\pi\) | ||||
0.298275 | + | 0.954480i | \(0.403589\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −24.4924 | −1.45592 | −0.727962 | − | 0.685618i | \(-0.759532\pi\) | ||||
−0.727962 | + | 0.685618i | \(0.759532\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 17.3693 | 1.02887 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −8.00000 | −0.472225 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 27.6847 | 1.62851 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 12.8769 | 0.754857 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 19.5616 | 1.14280 | 0.571399 | − | 0.820672i | \(-0.306401\pi\) | ||||
0.571399 | + | 0.820672i | \(0.306401\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 11.1231 | 0.647612 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 17.3693 | 1.00787 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 8.00000 | 0.462652 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 14.9309 | 0.860601 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 1.75379 | 0.100753 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 10.2462 | 0.586696 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −4.87689 | −0.278339 | −0.139170 | − | 0.990269i | \(-0.544443\pi\) | ||||
−0.139170 | + | 0.990269i | \(0.544443\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 22.2462 | 1.26554 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 19.1231 | 1.08437 | 0.542186 | − | 0.840259i | \(-0.317597\pi\) | ||||
0.542186 | + | 0.840259i | \(0.317597\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 6.19224 | 0.350006 | 0.175003 | − | 0.984568i | \(-0.444007\pi\) | ||||
0.175003 | + | 0.984568i | \(0.444007\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 3.12311 | 0.175967 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 4.24621 | 0.238491 | 0.119245 | − | 0.992865i | \(-0.461952\pi\) | ||||
0.119245 | + | 0.992865i | \(0.461952\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 6.24621 | 0.349721 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −6.24621 | −0.348630 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −20.8769 | −1.16162 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 7.68466 | 0.426268 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 27.8078 | 1.53777 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −19.8078 | −1.09204 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −28.4924 | −1.56609 | −0.783043 | − | 0.621968i | \(-0.786333\pi\) | ||||
−0.783043 | + | 0.621968i | \(0.786333\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 1.50758 | 0.0826147 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −11.1231 | −0.607720 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −33.8078 | −1.84163 | −0.920813 | − | 0.390004i | \(-0.872474\pi\) | ||||
−0.920813 | + | 0.390004i | \(0.872474\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 22.6307 | 1.22913 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 12.4924 | 0.676503 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 18.0540 | 0.974823 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 44.4924 | 2.39539 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 4.68466 | 0.251486 | 0.125743 | − | 0.992063i | \(-0.459869\pi\) | ||||
0.125743 | + | 0.992063i | \(0.459869\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −16.9309 | −0.906289 | −0.453144 | − | 0.891437i | \(-0.649698\pi\) | ||||
−0.453144 | + | 0.891437i | \(0.649698\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −5.56155 | −0.296854 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −15.3693 | −0.818026 | −0.409013 | − | 0.912529i | \(-0.634127\pi\) | ||||
−0.409013 | + | 0.912529i | \(0.634127\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −16.6847 | −0.885530 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 16.3002 | 0.862697 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 2.24621 | 0.118550 | 0.0592752 | − | 0.998242i | \(-0.481121\pi\) | ||||
0.0592752 | + | 0.998242i | \(0.481121\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −9.24621 | −0.486643 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −1.94602 | −0.102140 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −21.3693 | −1.11852 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 31.6155 | 1.65032 | 0.825159 | − | 0.564901i | \(-0.191086\pi\) | ||||
0.825159 | + | 0.564901i | \(0.191086\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −2.87689 | −0.149765 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 8.00000 | 0.415339 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 29.6155 | 1.53343 | 0.766717 | − | 0.641985i | \(-0.221889\pi\) | ||||
0.766717 | + | 0.641985i | \(0.221889\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 14.9309 | 0.771027 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −2.00000 | −0.103005 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −22.2462 | −1.14271 | −0.571356 | − | 0.820703i | \(-0.693582\pi\) | ||||
−0.571356 | + | 0.820703i | \(0.693582\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −9.75379 | −0.499702 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 31.8078 | 1.62530 | 0.812650 | − | 0.582752i | \(-0.198024\pi\) | ||||
0.812650 | + | 0.582752i | \(0.198024\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 17.3693 | 0.885222 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 5.36932 | 0.272938 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −28.7386 | −1.45711 | −0.728553 | − | 0.684989i | \(-0.759807\pi\) | ||||
−0.728553 | + | 0.684989i | \(0.759807\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −53.4773 | −2.70446 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −24.6847 | −1.24518 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −28.4924 | −1.43361 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −2.00000 | −0.100377 | −0.0501886 | − | 0.998740i | \(-0.515982\pi\) | ||||
−0.0501886 | + | 0.998740i | \(0.515982\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −7.61553 | −0.381253 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −37.6155 | −1.87843 | −0.939215 | − | 0.343330i | \(-0.888445\pi\) | ||||
−0.939215 | + | 0.343330i | \(0.888445\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −4.00000 | −0.199254 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −24.9309 | −1.23882 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 8.38447 | 0.415603 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 21.1231 | 1.04447 | 0.522235 | − | 0.852802i | \(-0.325098\pi\) | ||||
0.522235 | + | 0.852802i | \(0.325098\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 8.00000 | 0.394611 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −4.87689 | −0.239976 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 50.7386 | 2.49066 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 7.31534 | 0.358234 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −26.9309 | −1.31566 | −0.657830 | − | 0.753167i | \(-0.728525\pi\) | ||||
−0.657830 | + | 0.753167i | \(0.728525\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −18.6847 | −0.910635 | −0.455317 | − | 0.890329i | \(-0.650474\pi\) | ||||
−0.455317 | + | 0.890329i | \(0.650474\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −7.12311 | −0.346337 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −51.3693 | −2.49178 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −4.49242 | −0.217404 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −4.87689 | −0.235459 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 14.4384 | 0.695476 | 0.347738 | − | 0.937592i | \(-0.386950\pi\) | ||||
0.347738 | + | 0.937592i | \(0.386950\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 39.1771 | 1.88273 | 0.941365 | − | 0.337389i | \(-0.109544\pi\) | ||||
0.941365 | + | 0.337389i | \(0.109544\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −11.1231 | −0.533312 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 24.9848 | 1.19519 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −12.8769 | −0.614581 | −0.307290 | − | 0.951616i | \(-0.599422\pi\) | ||||
−0.307290 | + | 0.951616i | \(0.599422\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 2.56155 | 0.121979 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −0.192236 | −0.00913340 | −0.00456670 | − | 0.999990i | \(-0.501454\pi\) | ||||
−0.00456670 | + | 0.999990i | \(0.501454\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 35.6155 | 1.68834 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −0.384472 | −0.0181849 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −16.7386 | −0.789945 | −0.394972 | − | 0.918693i | \(-0.629246\pi\) | ||||
−0.394972 | + | 0.918693i | \(0.629246\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −16.0000 | −0.753411 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −10.0540 | −0.472377 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −5.56155 | −0.260730 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −24.7386 | −1.15722 | −0.578612 | − | 0.815603i | \(-0.696406\pi\) | ||||
−0.578612 | + | 0.815603i | \(0.696406\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 37.1771 | 1.73528 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −14.1922 | −0.660998 | −0.330499 | − | 0.943806i | \(-0.607217\pi\) | ||||
−0.330499 | + | 0.943806i | \(0.607217\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −21.7538 | −1.01098 | −0.505492 | − | 0.862831i | \(-0.668689\pi\) | ||||
−0.505492 | + | 0.862831i | \(0.668689\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −22.2462 | −1.03164 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −7.50758 | −0.347409 | −0.173705 | − | 0.984798i | \(-0.555574\pi\) | ||||
−0.173705 | + | 0.984798i | \(0.555574\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 4.87689 | 0.225194 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 16.3845 | 0.754957 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 29.8617 | 1.37304 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 24.0000 | 1.10120 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 2.87689 | 0.131724 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −31.8078 | −1.45333 | −0.726667 | − | 0.686990i | \(-0.758932\pi\) | ||||
−0.726667 | + | 0.686990i | \(0.758932\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −2.68466 | −0.122410 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −19.5076 | −0.887626 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 29.3693 | 1.33359 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −18.2462 | −0.826815 | −0.413407 | − | 0.910546i | \(-0.635661\pi\) | ||||
−0.413407 | + | 0.910546i | \(0.635661\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −19.5076 | −0.882163 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −38.0540 | −1.71735 | −0.858676 | − | 0.512519i | \(-0.828712\pi\) | ||||
−0.858676 | + | 0.512519i | \(0.828712\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 13.3693 | 0.602124 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 6.24621 | 0.280746 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 7.31534 | 0.328138 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 4.49242 | 0.201108 | 0.100554 | − | 0.994932i | \(-0.467938\pi\) | ||||
0.100554 | + | 0.994932i | \(0.467938\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 3.50758 | 0.156707 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −17.3693 | −0.774460 | −0.387230 | − | 0.921983i | \(-0.626568\pi\) | ||||
−0.387230 | + | 0.921983i | \(0.626568\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 4.00000 | 0.177998 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 1.56155 | 0.0693510 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −18.0000 | −0.797836 | −0.398918 | − | 0.916987i | \(-0.630614\pi\) | ||||
−0.398918 | + | 0.916987i | \(0.630614\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 9.36932 | 0.414474 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −17.3693 | −0.766874 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 50.7386 | 2.23581 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −39.6155 | −1.74229 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −20.4924 | −0.899518 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 2.68466 | 0.117617 | 0.0588085 | − | 0.998269i | \(-0.481270\pi\) | ||||
0.0588085 | + | 0.998269i | \(0.481270\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −32.4924 | −1.42079 | −0.710397 | − | 0.703801i | \(-0.751485\pi\) | ||||
−0.710397 | + | 0.703801i | \(0.751485\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −18.7386 | −0.817821 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 26.7386 | 1.16475 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 41.0000 | 1.78261 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −1.75379 | −0.0761079 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 5.12311 | 0.221906 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −14.2462 | −0.615917 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 7.31534 | 0.315680 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 14.2462 | 0.613628 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 6.68466 | 0.287396 | 0.143698 | − | 0.989622i | \(-0.454101\pi\) | ||||
0.143698 | + | 0.989622i | \(0.454101\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −23.2311 | −0.996940 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 63.4233 | 2.71676 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 33.5616 | 1.43499 | 0.717494 | − | 0.696564i | \(-0.245289\pi\) | ||||
0.717494 | + | 0.696564i | \(0.245289\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −1.61553 | −0.0689491 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −6.24621 | −0.266098 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 12.4924 | 0.531232 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −14.9309 | −0.633780 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 3.17708 | 0.134617 | 0.0673086 | − | 0.997732i | \(-0.478559\pi\) | ||||
0.0673086 | + | 0.997732i | \(0.478559\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −9.56155 | −0.404411 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 32.6004 | 1.37639 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −30.0540 | −1.26662 | −0.633312 | − | 0.773897i | \(-0.718305\pi\) | ||||
−0.633312 | + | 0.773897i | \(0.718305\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 51.6155 | 2.17148 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 10.9309 | 0.459053 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −29.3153 | −1.22896 | −0.614482 | − | 0.788931i | \(-0.710635\pi\) | ||||
−0.614482 | + | 0.788931i | \(0.710635\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −8.19224 | −0.342834 | −0.171417 | − | 0.985199i | \(-0.554835\pi\) | ||||
−0.171417 | + | 0.985199i | \(0.554835\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 14.6307 | 0.611206 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 61.4773 | 2.56378 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −7.75379 | −0.322794 | −0.161397 | − | 0.986890i | \(-0.551600\pi\) | ||||
−0.161397 | + | 0.986890i | \(0.551600\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 5.26137 | 0.218655 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −22.2462 | −0.922928 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 16.0000 | 0.662652 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −2.00000 | −0.0826898 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −40.9848 | −1.69163 | −0.845813 | − | 0.533480i | \(-0.820884\pi\) | ||||
−0.845813 | + | 0.533480i | \(0.820884\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −12.4924 | −0.514741 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 22.9309 | 0.943250 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 5.50758 | 0.226169 | 0.113085 | − | 0.993585i | \(-0.463927\pi\) | ||||
0.113085 | + | 0.993585i | \(0.463927\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 37.1771 | 1.52411 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 4.87689 | 0.199598 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 1.36932 | 0.0559488 | 0.0279744 | − | 0.999609i | \(-0.491094\pi\) | ||||
0.0279744 | + | 0.999609i | \(0.491094\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −11.1771 | −0.455923 | −0.227961 | − | 0.973670i | \(-0.573206\pi\) | ||||
−0.227961 | + | 0.973670i | \(0.573206\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 1.75379 | 0.0714198 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −4.43845 | −0.180449 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 9.36932 | 0.380289 | 0.190144 | − | 0.981756i | \(-0.439104\pi\) | ||||
0.190144 | + | 0.981756i | \(0.439104\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 4.87689 | 0.197622 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 12.6847 | 0.513166 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 6.00000 | 0.242338 | 0.121169 | − | 0.992632i | \(-0.461336\pi\) | ||||
0.121169 | + | 0.992632i | \(0.461336\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 28.4924 | 1.14893 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −35.8617 | −1.44374 | −0.721870 | − | 0.692029i | \(-0.756717\pi\) | ||||
−0.721870 | + | 0.692029i | \(0.756717\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 46.2462 | 1.85879 | 0.929396 | − | 0.369084i | \(-0.120328\pi\) | ||||
0.929396 | + | 0.369084i | \(0.120328\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −44.4924 | −1.78542 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −15.6155 | −0.625623 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −4.36932 | −0.174773 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −15.2311 | −0.608270 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 17.9460 | 0.715555 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 35.3153 | 1.40588 | 0.702941 | − | 0.711248i | \(-0.251870\pi\) | ||||
0.702941 | + | 0.711248i | \(0.251870\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −5.17708 | −0.205770 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −22.2462 | −0.882814 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −4.56155 | −0.180735 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 2.63068 | 0.104068 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 8.24621 | 0.325706 | 0.162853 | − | 0.986650i | \(-0.447930\pi\) | ||||
0.162853 | + | 0.986650i | \(0.447930\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 21.8617 | 0.862143 | 0.431071 | − | 0.902318i | \(-0.358136\pi\) | ||||
0.431071 | + | 0.902318i | \(0.358136\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −53.1771 | −2.09385 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 3.12311 | 0.122782 | 0.0613910 | − | 0.998114i | \(-0.480446\pi\) | ||||
0.0613910 | + | 0.998114i | \(0.480446\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −9.75379 | −0.382870 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 9.75379 | 0.382281 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −13.1231 | −0.513547 | −0.256773 | − | 0.966472i | \(-0.582659\pi\) | ||||
−0.256773 | + | 0.966472i | \(0.582659\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −56.3002 | −2.19983 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 3.36932 | 0.131450 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 16.4924 | 0.642454 | 0.321227 | − | 0.947002i | \(-0.395905\pi\) | ||||
0.321227 | + | 0.947002i | \(0.395905\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 8.73863 | 0.339893 | 0.169947 | − | 0.985453i | \(-0.445640\pi\) | ||||
0.169947 | + | 0.985453i | \(0.445640\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −10.4384 | −0.405396 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −17.3693 | −0.673553 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −16.0000 | −0.619522 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 5.17708 | 0.200158 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −8.98485 | −0.346856 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 34.3002 | 1.32218 | 0.661088 | − | 0.750309i | \(-0.270095\pi\) | ||||
0.661088 | + | 0.750309i | \(0.270095\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −42.7386 | −1.64501 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 23.3693 | 0.898156 | 0.449078 | − | 0.893493i | \(-0.351753\pi\) | ||||
0.449078 | + | 0.893493i | \(0.351753\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −12.8769 | −0.494170 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 12.4924 | 0.478711 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 24.0000 | 0.918334 | 0.459167 | − | 0.888350i | \(-0.348148\pi\) | ||||
0.459167 | + | 0.888350i | \(0.348148\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 18.2462 | 0.697152 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −21.5616 | −0.822625 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −5.12311 | −0.195175 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 48.9848 | 1.86347 | 0.931736 | − | 0.363137i | \(-0.118294\pi\) | ||||
0.931736 | + | 0.363137i | \(0.118294\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −2.73863 | −0.104032 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 16.6847 | 0.632885 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −34.2462 | −1.29717 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 21.5616 | 0.815533 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 47.3693 | 1.78911 | 0.894557 | − | 0.446953i | \(-0.147491\pi\) | ||||
0.894557 | + | 0.446953i | \(0.147491\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −8.38447 | −0.316226 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 70.5464 | 2.65693 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −1.75379 | −0.0659580 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 24.7386 | 0.929079 | 0.464539 | − | 0.885552i | \(-0.346220\pi\) | ||||
0.464539 | + | 0.885552i | \(0.346220\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 4.49242 | 0.168479 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −32.0000 | −1.19841 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −11.1231 | −0.415981 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −2.43845 | −0.0910655 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 4.87689 | 0.181877 | 0.0909387 | − | 0.995856i | \(-0.471013\pi\) | ||||
0.0909387 | + | 0.995856i | \(0.471013\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −22.2462 | −0.828492 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −31.6155 | −1.17579 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −15.3693 | −0.570802 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −28.1080 | −1.04247 | −0.521233 | − | 0.853414i | \(-0.674528\pi\) | ||||
−0.521233 | + | 0.853414i | \(0.674528\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 29.9848 | 1.11055 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 63.9157 | 2.36401 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −31.5616 | −1.16575 | −0.582876 | − | 0.812561i | \(-0.698073\pi\) | ||||
−0.582876 | + | 0.812561i | \(0.698073\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −25.3693 | −0.935761 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 9.75379 | 0.359285 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −6.24621 | −0.229771 | −0.114885 | − | 0.993379i | \(-0.536650\pi\) | ||||
−0.114885 | + | 0.993379i | \(0.536650\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 4.87689 | 0.179157 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 43.9157 | 1.61111 | 0.805556 | − | 0.592520i | \(-0.201867\pi\) | ||||
0.805556 | + | 0.592520i | \(0.201867\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −0.876894 | −0.0321269 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −8.00000 | −0.292705 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 6.24621 | 0.228232 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 40.9848 | 1.49556 | 0.747779 | − | 0.663948i | \(-0.231120\pi\) | ||||
0.747779 | + | 0.663948i | \(0.231120\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −8.98485 | −0.327426 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −22.9309 | −0.834540 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −5.12311 | −0.186202 | −0.0931012 | − | 0.995657i | \(-0.529678\pi\) | ||||
−0.0931012 | + | 0.995657i | \(0.529678\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −39.0152 | −1.41616 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 13.5076 | 0.489649 | 0.244825 | − | 0.969567i | \(-0.421270\pi\) | ||||
0.244825 | + | 0.969567i | \(0.421270\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −27.8078 | −1.00671 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 13.3693 | 0.483369 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 3.12311 | 0.112769 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −43.8617 | −1.58169 | −0.790847 | − | 0.612013i | \(-0.790360\pi\) | ||||
−0.790847 | + | 0.612013i | \(0.790360\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 24.3002 | 0.875150 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 0.822919 | 0.0295983 | 0.0147992 | − | 0.999890i | \(-0.495289\pi\) | ||||
0.0147992 | + | 0.999890i | \(0.495289\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −30.7386 | −1.10416 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 6.54640 | 0.234851 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 16.0000 | 0.573259 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 14.6307 | 0.523527 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 11.1231 | 0.397507 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 37.3693 | 1.33377 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 16.0000 | 0.570338 | 0.285169 | − | 0.958477i | \(-0.407950\pi\) | ||||
0.285169 | + | 0.958477i | \(0.407950\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 15.2311 | 0.542240 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −22.6307 | −0.804654 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 2.87689 | 0.102162 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −28.4924 | −1.01052 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −46.4924 | −1.64685 | −0.823423 | − | 0.567428i | \(-0.807939\pi\) | ||||
−0.823423 | + | 0.567428i | \(0.807939\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −84.7926 | −2.99975 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −5.61553 | −0.198415 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 18.7386 | 0.661272 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −44.4924 | −1.56815 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −20.4924 | −0.721367 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 15.1771 | 0.533598 | 0.266799 | − | 0.963752i | \(-0.414034\pi\) | ||||
0.266799 | + | 0.963752i | \(0.414034\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −2.73863 | −0.0961664 | −0.0480832 | − | 0.998843i | \(-0.515311\pi\) | ||||
−0.0480832 | + | 0.998843i | \(0.515311\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0.300187 | 0.0105280 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −44.4924 | −1.55850 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −29.8617 | −1.04473 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 0.876894 | 0.0306412 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 19.5616 | 0.682703 | 0.341351 | − | 0.939936i | \(-0.389115\pi\) | ||||
0.341351 | + | 0.939936i | \(0.389115\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −31.6155 | −1.10205 | −0.551024 | − | 0.834489i | \(-0.685763\pi\) | ||||
−0.551024 | + | 0.834489i | \(0.685763\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −37.4773 | −1.30479 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −21.8617 | −0.760207 | −0.380104 | − | 0.924944i | \(-0.624112\pi\) | ||||
−0.380104 | + | 0.924944i | \(0.624112\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −14.4924 | −0.503343 | −0.251671 | − | 0.967813i | \(-0.580980\pi\) | ||||
−0.251671 | + | 0.967813i | \(0.580980\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 7.23106 | 0.250843 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 30.4924 | 1.05650 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 8.00000 | 0.276851 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 22.2462 | 0.768942 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −38.7386 | −1.33741 | −0.668703 | − | 0.743530i | \(-0.733150\pi\) | ||||
−0.668703 | + | 0.743530i | \(0.733150\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −25.0000 | −0.862069 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 15.6155 | 0.537827 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 3.56155 | 0.122521 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 1.94602 | 0.0668662 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −38.2462 | −1.31261 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −21.4773 | −0.736231 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −17.3153 | −0.592866 | −0.296433 | − | 0.955054i | \(-0.595797\pi\) | ||||
−0.296433 | + | 0.955054i | \(0.595797\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −6.24621 | −0.213616 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −8.73863 | −0.298506 | −0.149253 | − | 0.988799i | \(-0.547687\pi\) | ||||
−0.149253 | + | 0.988799i | \(0.547687\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 52.9848 | 1.80782 | 0.903910 | − | 0.427723i | \(-0.140684\pi\) | ||||
0.903910 | + | 0.427723i | \(0.140684\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −12.4924 | −0.425741 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −4.30019 | −0.146380 | −0.0731900 | − | 0.997318i | \(-0.523318\pi\) | ||||
−0.0731900 | + | 0.997318i | \(0.523318\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −46.7386 | −1.58916 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 43.2311 | 1.46820 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 24.9848 | 0.847553 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −3.12311 | −0.105822 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −4.63068 | −0.156725 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −14.9309 | −0.504756 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −25.3153 | −0.854838 | −0.427419 | − | 0.904054i | \(-0.640577\pi\) | ||||
−0.427419 | + | 0.904054i | \(0.640577\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 30.5464 | 1.03030 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −10.1922 | −0.343385 | −0.171693 | − | 0.985151i | \(-0.554924\pi\) | ||||
−0.171693 | + | 0.985151i | \(0.554924\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −12.6847 | −0.426873 | −0.213436 | − | 0.976957i | \(-0.568466\pi\) | ||||
−0.213436 | + | 0.976957i | \(0.568466\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 17.3693 | 0.583863 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −53.4773 | −1.79559 | −0.897795 | − | 0.440413i | \(-0.854832\pi\) | ||||
−0.897795 | + | 0.440413i | \(0.854832\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 9.75379 | 0.327132 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 21.8617 | 0.732396 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 39.6155 | 1.32568 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 16.6847 | 0.557707 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 12.4924 | 0.417110 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 8.00000 | 0.266815 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 34.2462 | 1.14091 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 23.3153 | 0.775886 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −52.9848 | −1.76128 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 0.192236 | 0.00638309 | 0.00319154 | − | 0.999995i | \(-0.498984\pi\) | ||||
0.00319154 | + | 0.999995i | \(0.498984\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −0.630683 | −0.0209184 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 9.36932 | 0.310419 | 0.155210 | − | 0.987882i | \(-0.450395\pi\) | ||||
0.155210 | + | 0.987882i | \(0.450395\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −44.4924 | −1.47248 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 16.0000 | 0.528944 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 24.6847 | 0.815159 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 40.9848 | 1.35197 | 0.675983 | − | 0.736918i | \(-0.263719\pi\) | ||||
0.675983 | + | 0.736918i | \(0.263719\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −7.61553 | −0.250940 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −4.68466 | −0.154197 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −20.6307 | −0.678333 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −8.00000 | −0.262754 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 47.8617 | 1.57029 | 0.785146 | − | 0.619310i | \(-0.212588\pi\) | ||||
0.785146 | + | 0.619310i | \(0.212588\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −14.2462 | −0.466901 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 29.8617 | 0.977629 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 74.3542 | 2.43164 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 12.7386 | 0.416153 | 0.208077 | − | 0.978113i | \(-0.433280\pi\) | ||||
0.208077 | + | 0.978113i | \(0.433280\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 9.66950 | 0.315552 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −30.7926 | −1.00381 | −0.501905 | − | 0.864923i | \(-0.667367\pi\) | ||||
−0.501905 | + | 0.864923i | \(0.667367\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 40.9848 | 1.33465 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 30.9309 | 1.00618 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 17.3693 | 0.564427 | 0.282213 | − | 0.959352i | \(-0.408931\pi\) | ||||
0.282213 | + | 0.959352i | \(0.408931\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −6.00000 | −0.194768 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 6.63068 | 0.215015 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 59.6695 | 1.93288 | 0.966442 | − | 0.256883i | \(-0.0826956\pi\) | ||||
0.966442 | + | 0.256883i | \(0.0826956\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 33.3693 | 1.07981 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 9.75379 | 0.315295 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −8.00000 | −0.258333 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −15.0000 | −0.483871 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 2.24621 | 0.0723831 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 12.0000 | 0.386294 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 1.56155 | 0.0502162 | 0.0251081 | − | 0.999685i | \(-0.492007\pi\) | ||||
0.0251081 | + | 0.999685i | \(0.492007\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −32.6004 | −1.04727 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 19.3153 | 0.619859 | 0.309929 | − | 0.950760i | \(-0.399695\pi\) | ||||
0.309929 | + | 0.950760i | \(0.399695\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −7.31534 | −0.234519 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 12.0000 | 0.384308 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 21.5076 | 0.688088 | 0.344044 | − | 0.938953i | \(-0.388203\pi\) | ||||
0.344044 | + | 0.938953i | \(0.388203\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −31.2311 | −0.998149 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −10.0000 | −0.319275 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 10.9309 | 0.348641 | 0.174320 | − | 0.984689i | \(-0.444227\pi\) | ||||
0.174320 | + | 0.984689i | \(0.444227\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 52.3002 | 1.66642 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −30.9309 | −0.984540 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −76.4924 | −2.43232 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −21.8617 | −0.694461 | −0.347231 | − | 0.937780i | \(-0.612878\pi\) | ||||
−0.347231 | + | 0.937780i | \(0.612878\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −44.4924 | −1.41192 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 11.1231 | 0.352626 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −16.2462 | −0.514523 | −0.257261 | − | 0.966342i | \(-0.582820\pi\) | ||||
−0.257261 | + | 0.966342i | \(0.582820\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 14.9309 | 0.472392 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))