Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [5776,2,Mod(1,5776)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(5776, 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("5776.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 5776 = 2^{4} \cdot 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 5776.a (trivial) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | yes |
Analytic conductor: | \(46.1215922075\) |
Analytic rank: | \(1\) |
Dimension: | \(3\) |
Coefficient field: | \(\Q(\zeta_{18})^+\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{3} - 3x - 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 38) |
Fricke sign: | \(1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.1 | ||
Root | \(1.87939\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 5776.1 |
$q$-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 | ||||||||
\(3\) | −1.87939 | −1.08506 | −0.542532 | − | 0.840035i | \(-0.682534\pi\) | ||||
−0.542532 | + | 0.840035i | \(0.682534\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 2.00000 | 0.894427 | 0.447214 | − | 0.894427i | \(-0.352416\pi\) | ||||
0.447214 | + | 0.894427i | \(0.352416\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −5.06418 | −1.91408 | −0.957040 | − | 0.289957i | \(-0.906359\pi\) | ||||
−0.957040 | + | 0.289957i | \(0.906359\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0.532089 | 0.177363 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 1.41147 | 0.425575 | 0.212788 | − | 0.977098i | \(-0.431746\pi\) | ||||
0.212788 | + | 0.977098i | \(0.431746\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.30541 | 0.362055 | 0.181027 | − | 0.983478i | \(-0.442058\pi\) | ||||
0.181027 | + | 0.983478i | \(0.442058\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −3.75877 | −0.970510 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 2.38919 | 0.579463 | 0.289731 | − | 0.957108i | \(-0.406434\pi\) | ||||
0.289731 | + | 0.957108i | \(0.406434\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0 | 0 | ||||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 9.51754 | 2.07690 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 3.06418 | 0.638925 | 0.319463 | − | 0.947599i | \(-0.396498\pi\) | ||||
0.319463 | + | 0.947599i | \(0.396498\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.00000 | −0.200000 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 4.63816 | 0.892613 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −8.45336 | −1.56975 | −0.784875 | − | 0.619654i | \(-0.787273\pi\) | ||||
−0.784875 | + | 0.619654i | \(0.787273\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.369585 | 0.0663794 | 0.0331897 | − | 0.999449i | \(-0.489433\pi\) | ||||
0.0331897 | + | 0.999449i | \(0.489433\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −2.65270 | −0.461776 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −10.1284 | −1.71200 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −4.82295 | −0.792888 | −0.396444 | − | 0.918059i | \(-0.629756\pi\) | ||||
−0.396444 | + | 0.918059i | \(0.629756\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −2.45336 | −0.392853 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 1.53209 | 0.239272 | 0.119636 | − | 0.992818i | \(-0.461827\pi\) | ||||
0.119636 | + | 0.992818i | \(0.461827\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.758770 | 0.115711 | 0.0578557 | − | 0.998325i | \(-0.481574\pi\) | ||||
0.0578557 | + | 0.998325i | \(0.481574\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 1.06418 | 0.158638 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 10.2121 | 1.48959 | 0.744796 | − | 0.667292i | \(-0.232547\pi\) | ||||
0.744796 | + | 0.667292i | \(0.232547\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 18.6459 | 2.66370 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −4.49020 | −0.628754 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −1.67499 | −0.230078 | −0.115039 | − | 0.993361i | \(-0.536699\pi\) | ||||
−0.115039 | + | 0.993361i | \(0.536699\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.82295 | 0.380646 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 0.716881 | 0.0933300 | 0.0466650 | − | 0.998911i | \(-0.485141\pi\) | ||||
0.0466650 | + | 0.998911i | \(0.485141\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 9.75877 | 1.24948 | 0.624741 | − | 0.780832i | \(-0.285204\pi\) | ||||
0.624741 | + | 0.780832i | \(0.285204\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −2.69459 | −0.339487 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 2.61081 | 0.323832 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −1.40373 | −0.171493 | −0.0857467 | − | 0.996317i | \(-0.527328\pi\) | ||||
−0.0857467 | + | 0.996317i | \(0.527328\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −5.75877 | −0.693274 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −6.36959 | −0.755931 | −0.377965 | − | 0.925820i | \(-0.623376\pi\) | ||||
−0.377965 | + | 0.925820i | \(0.623376\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −4.55943 | −0.533641 | −0.266820 | − | 0.963746i | \(-0.585973\pi\) | ||||
−0.266820 | + | 0.963746i | \(0.585973\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 1.87939 | 0.217013 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −7.14796 | −0.814585 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −2.24123 | −0.252158 | −0.126079 | − | 0.992020i | \(-0.540239\pi\) | ||||
−0.126079 | + | 0.992020i | \(0.540239\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −10.3131 | −1.14591 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 3.98545 | 0.437460 | 0.218730 | − | 0.975785i | \(-0.429809\pi\) | ||||
0.218730 | + | 0.975785i | \(0.429809\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 4.77837 | 0.518287 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 15.8871 | 1.70328 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 10.6459 | 1.12846 | 0.564231 | − | 0.825617i | \(-0.309173\pi\) | ||||
0.564231 | + | 0.825617i | \(0.309173\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −6.61081 | −0.693002 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −0.694593 | −0.0720259 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 1.53209 | 0.155560 | 0.0777800 | − | 0.996971i | \(-0.475217\pi\) | ||||
0.0777800 | + | 0.996971i | \(0.475217\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0.751030 | 0.0754813 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 8.82295 | 0.877916 | 0.438958 | − | 0.898508i | \(-0.355348\pi\) | ||||
0.438958 | + | 0.898508i | \(0.355348\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −7.14796 | −0.704309 | −0.352155 | − | 0.935942i | \(-0.614551\pi\) | ||||
−0.352155 | + | 0.935942i | \(0.614551\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 19.0351 | 1.85763 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −9.36959 | −0.905792 | −0.452896 | − | 0.891563i | \(-0.649609\pi\) | ||||
−0.452896 | + | 0.891563i | \(0.649609\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −11.0642 | −1.05976 | −0.529878 | − | 0.848074i | \(-0.677762\pi\) | ||||
−0.529878 | + | 0.848074i | \(0.677762\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 9.06418 | 0.860334 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 13.2986 | 1.25103 | 0.625514 | − | 0.780213i | \(-0.284890\pi\) | ||||
0.625514 | + | 0.780213i | \(0.284890\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 6.12836 | 0.571472 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0.694593 | 0.0642151 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −12.0993 | −1.10914 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −9.00774 | −0.818886 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −2.87939 | −0.259625 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −12.0000 | −1.07331 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −5.71419 | −0.507053 | −0.253526 | − | 0.967328i | \(-0.581590\pi\) | ||||
−0.253526 | + | 0.967328i | \(0.581590\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −1.42602 | −0.125554 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 9.87939 | 0.863166 | 0.431583 | − | 0.902073i | \(-0.357955\pi\) | ||||
0.431583 | + | 0.902073i | \(0.357955\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 9.27631 | 0.798378 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 5.39693 | 0.461091 | 0.230545 | − | 0.973062i | \(-0.425949\pi\) | ||||
0.230545 | + | 0.973062i | \(0.425949\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 2.33956 | 0.198439 | 0.0992193 | − | 0.995066i | \(-0.468365\pi\) | ||||
0.0992193 | + | 0.995066i | \(0.468365\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −19.1925 | −1.61630 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 1.84255 | 0.154082 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −16.9067 | −1.40403 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −35.0428 | −2.89028 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −14.3696 | −1.17720 | −0.588601 | − | 0.808424i | \(-0.700321\pi\) | ||||
−0.588601 | + | 0.808424i | \(0.700321\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −20.8384 | −1.69581 | −0.847904 | − | 0.530150i | \(-0.822135\pi\) | ||||
−0.847904 | + | 0.530150i | \(0.822135\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 1.27126 | 0.102775 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0.739170 | 0.0593716 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 6.36959 | 0.508348 | 0.254174 | − | 0.967158i | \(-0.418196\pi\) | ||||
0.254174 | + | 0.967158i | \(0.418196\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 3.14796 | 0.249649 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −15.5175 | −1.22295 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −4.73143 | −0.370594 | −0.185297 | − | 0.982683i | \(-0.559325\pi\) | ||||
−0.185297 | + | 0.982683i | \(0.559325\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −5.30541 | −0.413025 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 17.2763 | 1.33688 | 0.668441 | − | 0.743766i | \(-0.266962\pi\) | ||||
0.668441 | + | 0.743766i | \(0.266962\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −11.2959 | −0.868916 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −18.8229 | −1.43108 | −0.715541 | − | 0.698571i | \(-0.753820\pi\) | ||||
−0.715541 | + | 0.698571i | \(0.753820\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 5.06418 | 0.382816 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −1.34730 | −0.101269 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −13.8280 | −1.03355 | −0.516777 | − | 0.856120i | \(-0.672868\pi\) | ||||
−0.516777 | + | 0.856120i | \(0.672868\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −12.2567 | −0.911034 | −0.455517 | − | 0.890227i | \(-0.650546\pi\) | ||||
−0.455517 | + | 0.890227i | \(0.650546\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −18.3405 | −1.35577 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −9.64590 | −0.709180 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 3.37227 | 0.246605 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −23.4884 | −1.70853 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 20.0993 | 1.45433 | 0.727166 | − | 0.686462i | \(-0.240837\pi\) | ||||
0.727166 | + | 0.686462i | \(0.240837\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −16.6851 | −1.20102 | −0.600510 | − | 0.799617i | \(-0.705036\pi\) | ||||
−0.600510 | + | 0.799617i | \(0.705036\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −4.90673 | −0.351378 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 12.9905 | 0.925535 | 0.462768 | − | 0.886480i | \(-0.346856\pi\) | ||||
0.462768 | + | 0.886480i | \(0.346856\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −17.1925 | −1.21875 | −0.609373 | − | 0.792884i | \(-0.708579\pi\) | ||||
−0.609373 | + | 0.792884i | \(0.708579\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 2.63816 | 0.186081 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 42.8093 | 3.00463 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 3.06418 | 0.214011 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 1.63041 | 0.113322 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −16.1088 | −1.10897 | −0.554486 | − | 0.832193i | \(-0.687085\pi\) | ||||
−0.554486 | + | 0.832193i | \(0.687085\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 11.9709 | 0.820233 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 1.51754 | 0.103495 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −1.87164 | −0.127056 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 8.56893 | 0.579034 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 3.11886 | 0.209797 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 4.08378 | 0.273470 | 0.136735 | − | 0.990608i | \(-0.456339\pi\) | ||||
0.136735 | + | 0.990608i | \(0.456339\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −0.532089 | −0.0354726 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 13.6604 | 0.906676 | 0.453338 | − | 0.891339i | \(-0.350233\pi\) | ||||
0.453338 | + | 0.891339i | \(0.350233\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −5.22163 | −0.345055 | −0.172527 | − | 0.985005i | \(-0.555193\pi\) | ||||
−0.172527 | + | 0.985005i | \(0.555193\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 13.4338 | 0.883877 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −27.0428 | −1.77163 | −0.885817 | − | 0.464035i | \(-0.846401\pi\) | ||||
−0.885817 | + | 0.464035i | \(0.846401\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 20.4243 | 1.33233 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 4.21213 | 0.273607 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 0.285807 | 0.0184873 | 0.00924366 | − | 0.999957i | \(-0.497058\pi\) | ||||
0.00924366 | + | 0.999957i | \(0.497058\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −3.10101 | −0.199754 | −0.0998769 | − | 0.995000i | \(-0.531845\pi\) | ||||
−0.0998769 | + | 0.995000i | \(0.531845\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 5.46791 | 0.350767 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 37.2918 | 2.38249 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −7.49020 | −0.474672 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 12.6578 | 0.798950 | 0.399475 | − | 0.916744i | \(-0.369192\pi\) | ||||
0.399475 | + | 0.916744i | \(0.369192\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 4.32501 | 0.271911 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −8.98040 | −0.562374 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 30.3928 | 1.89585 | 0.947926 | − | 0.318492i | \(-0.103176\pi\) | ||||
0.947926 | + | 0.318492i | \(0.103176\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 24.4243 | 1.51765 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −4.49794 | −0.278416 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −21.9026 | −1.35057 | −0.675286 | − | 0.737556i | \(-0.735980\pi\) | ||||
−0.675286 | + | 0.737556i | \(0.735980\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −3.34998 | −0.205788 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −20.0077 | −1.22445 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 1.43376 | 0.0874181 | 0.0437090 | − | 0.999044i | \(-0.486083\pi\) | ||||
0.0437090 | + | 0.999044i | \(0.486083\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −16.1729 | −0.982436 | −0.491218 | − | 0.871037i | \(-0.663448\pi\) | ||||
−0.491218 | + | 0.871037i | \(0.663448\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 12.4243 | 0.751951 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −1.41147 | −0.0851151 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 11.1088 | 0.667460 | 0.333730 | − | 0.942669i | \(-0.391693\pi\) | ||||
0.333730 | + | 0.942669i | \(0.391693\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 0.196652 | 0.0117733 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −4.24897 | −0.253472 | −0.126736 | − | 0.991936i | \(-0.540450\pi\) | ||||
−0.126736 | + | 0.991936i | \(0.540450\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 5.45605 | 0.324329 | 0.162164 | − | 0.986764i | \(-0.448153\pi\) | ||||
0.162164 | + | 0.986764i | \(0.448153\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −7.75877 | −0.457986 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −11.2918 | −0.664223 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −2.87939 | −0.168793 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −17.8135 | −1.04067 | −0.520337 | − | 0.853961i | \(-0.674193\pi\) | ||||
−0.520337 | + | 0.853961i | \(0.674193\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 1.43376 | 0.0834769 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 6.54664 | 0.379874 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 4.00000 | 0.231326 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −3.84255 | −0.221481 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −16.5817 | −0.952595 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 19.5175 | 1.11757 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −28.6587 | −1.63564 | −0.817819 | − | 0.575476i | \(-0.804817\pi\) | ||||
−0.817819 | + | 0.575476i | \(0.804817\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 13.4338 | 0.764220 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −15.8135 | −0.896699 | −0.448349 | − | 0.893858i | \(-0.647988\pi\) | ||||
−0.448349 | + | 0.893858i | \(0.647988\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 13.1402 | 0.742729 | 0.371364 | − | 0.928487i | \(-0.378890\pi\) | ||||
0.371364 | + | 0.928487i | \(0.378890\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −5.38919 | −0.303646 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 21.4047 | 1.20221 | 0.601103 | − | 0.799172i | \(-0.294728\pi\) | ||||
0.601103 | + | 0.799172i | \(0.294728\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −11.9317 | −0.668047 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 17.6091 | 0.982842 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −1.30541 | −0.0724110 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 20.7939 | 1.14990 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −51.7161 | −2.85120 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −25.3979 | −1.39599 | −0.697996 | − | 0.716101i | \(-0.745925\pi\) | ||||
−0.697996 | + | 0.716101i | \(0.745925\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −2.56624 | −0.140629 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −2.80747 | −0.153388 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −26.3773 | −1.43686 | −0.718432 | − | 0.695597i | \(-0.755140\pi\) | ||||
−0.718432 | + | 0.695597i | \(0.755140\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −24.9932 | −1.35744 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 0.521660 | 0.0282495 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −58.9769 | −3.18445 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −11.5175 | −0.620084 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 25.6313 | 1.37596 | 0.687981 | − | 0.725728i | \(-0.258497\pi\) | ||||
0.687981 | + | 0.725728i | \(0.258497\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −5.84255 | −0.312744 | −0.156372 | − | 0.987698i | \(-0.549980\pi\) | ||||
−0.156372 | + | 0.987698i | \(0.549980\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 6.05468 | 0.323175 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −22.4097 | −1.19275 | −0.596375 | − | 0.802706i | \(-0.703393\pi\) | ||||
−0.596375 | + | 0.802706i | \(0.703393\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −12.7392 | −0.676125 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 22.7392 | 1.20348 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −9.61680 | −0.507555 | −0.253778 | − | 0.967263i | \(-0.581673\pi\) | ||||
−0.253778 | + | 0.967263i | \(0.581673\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 0 | 0 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 16.9290 | 0.888543 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −9.11886 | −0.477303 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −23.3601 | −1.21939 | −0.609693 | − | 0.792637i | \(-0.708707\pi\) | ||||
−0.609693 | + | 0.792637i | \(0.708707\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 0.815207 | 0.0424380 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 8.48246 | 0.440387 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 25.9418 | 1.34322 | 0.671608 | − | 0.740907i | \(-0.265604\pi\) | ||||
0.671608 | + | 0.740907i | \(0.265604\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 22.5526 | 1.16461 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −11.0351 | −0.568336 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 9.47834 | 0.486870 | 0.243435 | − | 0.969917i | \(-0.421726\pi\) | ||||
0.243435 | + | 0.969917i | \(0.421726\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 10.7392 | 0.550184 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −13.4884 | −0.689227 | −0.344614 | − | 0.938745i | \(-0.611990\pi\) | ||||
−0.344614 | + | 0.938745i | \(0.611990\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −14.2959 | −0.728587 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 0.403733 | 0.0205229 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −25.1480 | −1.27505 | −0.637526 | − | 0.770429i | \(-0.720042\pi\) | ||||
−0.637526 | + | 0.770429i | \(0.720042\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 7.32089 | 0.370233 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −18.5672 | −0.936590 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −4.48246 | −0.225537 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 6.56624 | 0.329550 | 0.164775 | − | 0.986331i | \(-0.447310\pi\) | ||||
0.164775 | + | 0.986331i | \(0.447310\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 29.5107 | 1.47370 | 0.736848 | − | 0.676059i | \(-0.236313\pi\) | ||||
0.736848 | + | 0.676059i | \(0.236313\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0.482459 | 0.0240330 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −20.6263 | −1.02493 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −6.80747 | −0.337434 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −21.1310 | −1.04486 | −0.522431 | − | 0.852681i | \(-0.674975\pi\) | ||||
−0.522431 | + | 0.852681i | \(0.674975\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −10.1429 | −0.500313 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −3.63041 | −0.178641 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 7.97090 | 0.391276 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −4.39693 | −0.215318 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 27.8830 | 1.36217 | 0.681087 | − | 0.732202i | \(-0.261508\pi\) | ||||
0.681087 | + | 0.732202i | \(0.261508\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 0.0445774 | 0.00217257 | 0.00108629 | − | 0.999999i | \(-0.499654\pi\) | ||||
0.00108629 | + | 0.999999i | \(0.499654\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 5.43376 | 0.264199 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −2.38919 | −0.115893 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −49.4201 | −2.39161 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −3.46286 | −0.167188 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −11.7879 | −0.567802 | −0.283901 | − | 0.958854i | \(-0.591629\pi\) | ||||
−0.283901 | + | 0.958854i | \(0.591629\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −27.6459 | −1.32858 | −0.664289 | − | 0.747476i | \(-0.731265\pi\) | ||||
−0.664289 | + | 0.747476i | \(0.731265\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 31.7743 | 1.52346 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 0 | 0 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 37.4492 | 1.78735 | 0.893677 | − | 0.448710i | \(-0.148116\pi\) | ||||
0.893677 | + | 0.448710i | \(0.148116\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 9.92127 | 0.472442 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −20.9881 | −0.997177 | −0.498588 | − | 0.866839i | \(-0.666148\pi\) | ||||
−0.498588 | + | 0.866839i | \(0.666148\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 21.2918 | 1.00933 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 27.0060 | 1.27734 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 21.8949 | 1.03328 | 0.516641 | − | 0.856202i | \(-0.327182\pi\) | ||||
0.516641 | + | 0.856202i | \(0.327182\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 2.16250 | 0.101828 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 39.1634 | 1.84006 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −13.2216 | −0.619840 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −13.0496 | −0.610436 | −0.305218 | − | 0.952283i | \(-0.598729\pi\) | ||||
−0.305218 | + | 0.952283i | \(0.598729\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 11.0814 | 0.517236 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 4.40879 | 0.205338 | 0.102669 | − | 0.994716i | \(-0.467262\pi\) | ||||
0.102669 | + | 0.994716i | \(0.467262\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −26.6655 | −1.23925 | −0.619625 | − | 0.784898i | \(-0.712715\pi\) | ||||
−0.619625 | + | 0.784898i | \(0.712715\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −1.38919 | −0.0644219 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −30.1138 | −1.39350 | −0.696750 | − | 0.717314i | \(-0.745371\pi\) | ||||
−0.696750 | + | 0.717314i | \(0.745371\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 7.10876 | 0.328252 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −11.9709 | −0.551590 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 1.07098 | 0.0492439 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −0.891245 | −0.0408073 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −8.16756 | −0.373185 | −0.186593 | − | 0.982437i | \(-0.559744\pi\) | ||||
−0.186593 | + | 0.982437i | \(0.559744\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −6.29591 | −0.287069 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 29.1634 | 1.32698 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 3.06418 | 0.139137 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 26.5871 | 1.20478 | 0.602388 | − | 0.798203i | \(-0.294216\pi\) | ||||
0.602388 | + | 0.798203i | \(0.294216\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 8.89218 | 0.402118 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −38.8289 | −1.75233 | −0.876163 | − | 0.482016i | \(-0.839905\pi\) | ||||
−0.876163 | + | 0.482016i | \(0.839905\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −20.1967 | −0.909611 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 1.50206 | 0.0675125 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 32.2567 | 1.44691 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −20.6587 | −0.924810 | −0.462405 | − | 0.886669i | \(-0.653013\pi\) | ||||
−0.462405 | + | 0.886669i | \(0.653013\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −32.4688 | −1.45060 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −0.0736733 | −0.00328493 | −0.00164246 | − | 0.999999i | \(-0.500523\pi\) | ||||
−0.00164246 | + | 0.999999i | \(0.500523\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 17.6459 | 0.785232 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 21.2294 | 0.942829 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −15.0196 | −0.665732 | −0.332866 | − | 0.942974i | \(-0.608016\pi\) | ||||
−0.332866 | + | 0.942974i | \(0.608016\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 23.0898 | 1.02143 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −14.2959 | −0.629953 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 14.4142 | 0.633934 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 35.3756 | 1.55282 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −45.1712 | −1.97899 | −0.989493 | − | 0.144583i | \(-0.953816\pi\) | ||||
−0.989493 | + | 0.144583i | \(0.953816\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 0.167556 | 0.00732672 | 0.00366336 | − | 0.999993i | \(-0.498834\pi\) | ||||
0.00366336 | + | 0.999993i | \(0.498834\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −9.51754 | −0.415380 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 0.883007 | 0.0384644 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −13.6108 | −0.591775 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0.381445 | 0.0165533 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 2.00000 | 0.0866296 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −18.7392 | −0.810165 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 25.9881 | 1.12147 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 26.3182 | 1.13361 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −0.980400 | −0.0421507 | −0.0210753 | − | 0.999778i | \(-0.506709\pi\) | ||||
−0.0210753 | + | 0.999778i | \(0.506709\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 23.0351 | 0.988530 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −22.1284 | −0.947875 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 28.4047 | 1.21450 | 0.607248 | − | 0.794512i | \(-0.292273\pi\) | ||||
0.607248 | + | 0.794512i | \(0.292273\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 5.19253 | 0.221612 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 11.3500 | 0.482650 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 18.1284 | 0.769506 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 35.6323 | 1.50979 | 0.754894 | − | 0.655847i | \(-0.227688\pi\) | ||||
0.754894 | + | 0.655847i | \(0.227688\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0.990505 | 0.0418939 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −6.33780 | −0.267582 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 8.62773 | 0.363615 | 0.181808 | − | 0.983334i | \(-0.441805\pi\) | ||||
0.181808 | + | 0.983334i | \(0.441805\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 26.5972 | 1.11895 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 52.2276 | 2.19335 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −22.3310 | −0.936164 | −0.468082 | − | 0.883685i | \(-0.655055\pi\) | ||||
−0.468082 | + | 0.883685i | \(0.655055\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 9.56448 | 0.400261 | 0.200131 | − | 0.979769i | \(-0.435863\pi\) | ||||
0.200131 | + | 0.979769i | \(0.435863\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −37.7743 | −1.57804 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −3.06418 | −0.127785 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 22.4757 | 0.935674 | 0.467837 | − | 0.883815i | \(-0.345033\pi\) | ||||
0.467837 | + | 0.883815i | \(0.345033\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 31.3577 | 1.30318 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −20.1830 | −0.837334 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −2.36421 | −0.0979155 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 1.38919 | 0.0574357 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −4.14796 | −0.171204 | −0.0856022 | − | 0.996329i | \(-0.527281\pi\) | ||||
−0.0856022 | + | 0.996329i | \(0.527281\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −24.4142 | −1.00426 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 10.4175 | 0.427794 | 0.213897 | − | 0.976856i | \(-0.431384\pi\) | ||||
0.213897 | + | 0.976856i | \(0.431384\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −24.1985 | −0.992043 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 32.3114 | 1.32242 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −39.6560 | −1.62030 | −0.810150 | − | 0.586222i | \(-0.800614\pi\) | ||||
−0.810150 | + | 0.586222i | \(0.800614\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −23.8648 | −0.973467 | −0.486734 | − | 0.873551i | \(-0.661812\pi\) | ||||
−0.486734 | + | 0.873551i | \(0.661812\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −0.746911 | −0.0304166 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −18.0155 | −0.732433 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −29.9317 | −1.21489 | −0.607445 | − | 0.794362i | \(-0.707806\pi\) | ||||
−0.607445 | + | 0.794362i | \(0.707806\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −80.4552 | −3.26021 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 13.3310 | 0.539314 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −35.5776 | −1.43697 | −0.718483 | − | 0.695545i | \(-0.755163\pi\) | ||||
−0.718483 | + | 0.695545i | \(0.755163\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −5.75877 | −0.232216 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 12.0324 | 0.484406 | 0.242203 | − | 0.970226i | \(-0.422130\pi\) | ||||
0.242203 | + | 0.970226i | \(0.422130\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 17.1129 | 0.687824 | 0.343912 | − | 0.939002i | \(-0.388248\pi\) | ||||
0.343912 | + | 0.939002i | \(0.388248\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 14.2121 | 0.570313 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −53.9127 | −2.15997 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −19.0000 | −0.760000 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −11.5229 | −0.459449 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −18.3405 | −0.730123 | −0.365062 | − | 0.930983i | \(-0.618952\pi\) | ||||
−0.365062 | + | 0.930983i | \(0.618952\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 30.2746 | 1.20331 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −11.4284 | −0.453522 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 24.3405 | 0.964405 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −3.38919 | −0.134074 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 31.1780 | 1.23146 | 0.615728 | − | 0.787959i | \(-0.288862\pi\) | ||||
0.615728 | + | 0.787959i | \(0.288862\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 31.9495 | 1.25997 | 0.629984 | − | 0.776608i | \(-0.283062\pi\) | ||||
0.629984 | + | 0.776608i | \(0.283062\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −2.85204 | −0.112299 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −2.99588 | −0.117780 | −0.0588901 | − | 0.998264i | \(-0.518756\pi\) | ||||
−0.0588901 | + | 0.998264i | \(0.518756\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 1.01186 | 0.0397190 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 3.51754 | 0.137863 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 0.935822 | 0.0366216 | 0.0183108 | − | 0.999832i | \(-0.494171\pi\) | ||||
0.0183108 | + | 0.999832i | \(0.494171\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 19.7588 | 0.772039 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −2.42602 | −0.0946481 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −12.2371 | −0.476690 | −0.238345 | − | 0.971181i | \(-0.576605\pi\) | ||||
−0.238345 | + | 0.971181i | \(0.576605\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 11.9554 | 0.465012 | 0.232506 | − | 0.972595i | \(-0.425307\pi\) | ||||
0.232506 | + | 0.972595i | \(0.425307\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −5.86154 | −0.227643 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −25.9026 | −1.00295 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −7.67499 | −0.296732 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 13.7743 | 0.531749 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −44.8634 | −1.72936 | −0.864679 | − | 0.502325i | \(-0.832478\pi\) | ||||
−0.864679 | + | 0.502325i | \(0.832478\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −4.63816 | −0.178523 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −0.945927 | −0.0363549 | −0.0181775 | − | 0.999835i | \(-0.505786\pi\) | ||||
−0.0181775 | + | 0.999835i | \(0.505786\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −7.75877 | −0.297754 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −25.6732 | −0.983801 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −5.92221 | −0.226607 | −0.113303 | − | 0.993560i | \(-0.536143\pi\) | ||||
−0.113303 | + | 0.993560i | \(0.536143\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 10.7939 | 0.412412 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 9.81345 | 0.374407 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −2.18655 | −0.0833008 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −0.206148 | −0.00784222 | −0.00392111 | − | 0.999992i | \(-0.501248\pi\) | ||||
−0.00392111 | + | 0.999992i | \(0.501248\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −3.80335 | −0.144477 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 4.67911 | 0.177489 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 3.66044 | 0.138649 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 50.8239 | 1.92234 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 4.36959 | 0.165037 | 0.0825185 | − | 0.996590i | \(-0.473704\pi\) | ||||
0.0825185 | + | 0.996590i | \(0.473704\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 0 | 0 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −38.3851 | −1.44567 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −44.6810 | −1.68040 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 8.75465 | 0.328788 | 0.164394 | − | 0.986395i | \(-0.447433\pi\) | ||||
0.164394 | + | 0.986395i | \(0.447433\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −1.19253 | −0.0447235 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 1.13247 | 0.0424115 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 3.68510 | 0.137815 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −0.537141 | −0.0200599 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 27.6067 | 1.02956 | 0.514778 | − | 0.857324i | \(-0.327874\pi\) | ||||
0.514778 | + | 0.857324i | \(0.327874\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 36.1985 | 1.34810 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 5.82800 | 0.216746 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 8.45336 | 0.313950 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −28.6364 | −1.06207 | −0.531033 | − | 0.847351i | \(-0.678196\pi\) | ||||
−0.531033 | + | 0.847351i | \(0.678196\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 20.6631 | 0.765301 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 1.81284 | 0.0670504 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 36.9614 | 1.36520 | 0.682600 | − | 0.730792i | \(-0.260849\pi\) | ||||
0.682600 | + | 0.730792i | \(0.260849\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −70.0856 | −2.58515 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −1.98133 | −0.0729833 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −46.0265 | −1.69311 | −0.846556 | − | 0.532299i | \(-0.821328\pi\) | ||||
−0.846556 | + | 0.532299i | \(0.821328\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 26.4107 | 0.968913 | 0.484456 | − | 0.874815i | \(-0.339017\pi\) | ||||
0.484456 | + | 0.874815i | \(0.339017\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −28.7392 | −1.05292 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 2.12061 | 0.0775892 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 47.4492 | 1.73376 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −27.1771 | −0.991705 | −0.495852 | − | 0.868407i | \(-0.665144\pi\) | ||||
−0.495852 | + | 0.868407i | \(0.665144\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −23.7888 | −0.866912 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −41.6769 | −1.51678 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 19.4047 | 0.705275 | 0.352637 | − | 0.935760i | \(-0.385285\pi\) | ||||
0.352637 | + | 0.935760i | \(0.385285\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −8.12836 | −0.295041 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 40.2645 | 1.45959 | 0.729793 | − | 0.683669i | \(-0.239617\pi\) | ||||
0.729793 | + | 0.683669i | \(0.239617\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 56.0310 | 2.02846 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 2.54252 | 0.0919249 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 0.935822 | 0.0337906 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −38.9418 | −1.40428 | −0.702139 | − | 0.712040i | \(-0.747771\pi\) | ||||
−0.702139 | + | 0.712040i | \(0.747771\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −57.1198 | −2.05712 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 6.76289 | 0.243244 | 0.121622 | − | 0.992576i | \(-0.461190\pi\) | ||||
0.121622 | + | 0.992576i | \(0.461190\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −0.369585 | −0.0132759 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −45.9026 | −1.64675 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 0 | 0 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −8.99050 | −0.321706 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −39.2080 | −1.40118 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 12.7392 | 0.454680 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 5.80478 | 0.206918 | 0.103459 | − | 0.994634i | \(-0.467009\pi\) | ||||
0.103459 | + | 0.994634i | \(0.467009\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 41.1634 | 1.46546 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −67.3465 | −2.39456 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 12.7392 | 0.452381 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 6.29591 | 0.223293 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 39.2181 | 1.38918 | 0.694589 | − | 0.719407i | \(-0.255586\pi\) | ||||
0.694589 | + | 0.719407i | \(0.255586\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 24.3987 | 0.863163 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 5.66456 | 0.200148 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −6.43552 | −0.227104 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −31.0351 | −1.09384 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −2.69459 | −0.0948542 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 7.00269 | 0.246201 | 0.123101 | − | 0.992394i | \(-0.460716\pi\) | ||||
0.123101 | + | 0.992394i | \(0.460716\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 43.6851 | 1.53399 | 0.766996 | − | 0.641652i | \(-0.221751\pi\) | ||||
0.766996 | + | 0.641652i | \(0.221751\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 30.3952 | 1.06601 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −9.46286 | −0.331469 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0 | 0 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −3.51754 | −0.122913 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 12.3851 | 0.432242 | 0.216121 | − | 0.976367i | \(-0.430659\pi\) | ||||
0.216121 | + | 0.976367i | \(0.430659\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 12.8283 | 0.447167 | 0.223584 | − | 0.974685i | \(-0.428224\pi\) | ||||
0.223584 | + | 0.974685i | \(0.428224\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 2.65270 | 0.0923553 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 25.0966 | 0.872693 | 0.436347 | − | 0.899779i | \(-0.356272\pi\) | ||||
0.436347 | + | 0.899779i | \(0.356272\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −28.3269 | −0.983833 | −0.491917 | − | 0.870642i | \(-0.663703\pi\) | ||||
−0.491917 | + | 0.870642i | \(0.663703\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −20.8776 | −0.724237 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 44.5485 | 1.54351 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 34.5526 | 1.19574 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 1.71419 | 0.0592512 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −30.3304 | −1.04712 | −0.523561 | − | 0.851988i | \(-0.675397\pi\) | ||||
−0.523561 | + | 0.851988i | \(0.675397\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 42.4593 | 1.46412 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 7.98545 | 0.275034 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −22.5918 | −0.777182 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 45.6168 | 1.56741 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −10.2540 | −0.351917 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −14.7784 | −0.506596 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −43.6323 | −1.49394 | −0.746970 | − | 0.664857i | \(-0.768492\pi\) | ||||
−0.746970 | + | 0.664857i | \(0.768492\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 31.5098 | 1.07635 | 0.538177 | − | 0.842832i | \(-0.319113\pi\) | ||||
0.538177 | + | 0.842832i | \(0.319113\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 18.6979 | 0.637964 | 0.318982 | − | 0.947761i | \(-0.396659\pi\) | ||||
0.318982 | + | 0.947761i | \(0.396659\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 14.5817 | 0.496944 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 10.6263 | 0.361723 | 0.180862 | − | 0.983509i | \(-0.442111\pi\) | ||||
0.180862 | + | 0.983509i | \(0.442111\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −37.6459 | −1.28000 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 21.2216 | 0.720724 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −3.16344 | −0.107312 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −1.83244 | −0.0620900 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 0.815207 | 0.0275906 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 60.7701 | 2.05441 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −44.8985 | −1.51611 | −0.758057 | − | 0.652188i | \(-0.773851\pi\) | ||||
−0.758057 | + | 0.652188i | \(0.773851\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 33.4783 | 1.12920 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −18.0164 | −0.606988 | −0.303494 | − | 0.952833i | \(-0.598153\pi\) | ||||
−0.303494 | + | 0.952833i | \(0.598153\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 46.5981 | 1.56815 | 0.784076 | − | 0.620665i | \(-0.213137\pi\) | ||||
0.784076 | + | 0.620665i | \(0.213137\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −2.69459 | −0.0905777 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 7.07966 | 0.237712 | 0.118856 | − | 0.992912i | \(-0.462077\pi\) | ||||
0.118856 | + | 0.992912i | \(0.462077\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 28.9377 | 0.970539 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −14.5567 | −0.487669 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −27.6560 | −0.924438 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −7.51754 | −0.251003 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −3.12424 | −0.104199 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −4.00187 | −0.133322 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 7.22163 | 0.240321 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −24.5134 | −0.814854 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 15.1156 | 0.501904 | 0.250952 | − | 0.968000i | \(-0.419256\pi\) | ||||
0.250952 | + | 0.968000i | \(0.419256\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 4.69459 | 0.155710 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −12.8366 | −0.425294 | −0.212647 | − | 0.977129i | \(-0.568208\pi\) | ||||
−0.212647 | + | 0.977129i | \(0.568208\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 5.62536 | 0.186172 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −36.6810 | −1.21264 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −50.0310 | −1.65217 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 20.6791 | 0.682141 | 0.341070 | − | 0.940038i | \(-0.389211\pi\) | ||||
0.341070 | + | 0.940038i | \(0.389211\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 53.8607 | 1.77477 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −8.31490 | −0.273688 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 4.82295 | 0.158578 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −3.80335 | −0.124918 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −18.2499 | −0.598760 | −0.299380 | − | 0.954134i | \(-0.596780\pi\) | ||||
−0.299380 | + | 0.954134i | \(0.596780\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 29.7196 | 0.972975 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 6.74455 | 0.220570 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −4.74691 | −0.155075 | −0.0775374 | − | 0.996989i | \(-0.524706\pi\) | ||||
−0.0775374 | + | 0.996989i | \(0.524706\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −24.6955 | −0.805908 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −47.0215 | −1.53286 | −0.766428 | − | 0.642330i | \(-0.777968\pi\) | ||||
−0.766428 | + | 0.642330i | \(0.777968\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 4.69459 | 0.152877 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −46.9769 | −1.52816 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −36.9959 | −1.20220 | −0.601102 | − | 0.799172i | \(-0.705272\pi\) | ||||
−0.601102 | + | 0.799172i | \(0.705272\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −5.95191 | −0.193207 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −40.2276 | −1.30447 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 37.7093 | 1.22152 | 0.610761 | − | 0.791815i | \(-0.290864\pi\) | ||||
0.610761 | + | 0.791815i | \(0.290864\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 40.1985 | 1.30079 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 22.4243 | 0.724874 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −27.3310 | −0.882564 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −30.8634 | −0.995594 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −4.98545 | −0.160654 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −33.3702 | −1.07422 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −40.5134 | −1.30282 | −0.651412 | − | 0.758724i | \(-0.725823\pi\) | ||||
−0.651412 | + | 0.758724i | \(0.725823\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −14.0779 | −0.451781 | −0.225891 | − | 0.974153i | \(-0.572529\pi\) | ||||
−0.225891 | + | 0.974153i | \(0.572529\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −11.8479 | −0.379827 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 2.45336 | 0.0785705 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 35.2057 | 1.12633 | 0.563164 | − | 0.826345i | \(-0.309584\pi\) | ||||
0.563164 | + | 0.826345i | \(0.309584\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 15.0264 | 0.480246 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −5.88713 | −0.187961 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 22.4397 | 0.715717 | 0.357858 | − | 0.933776i | \(-0.383507\pi\) | ||||
0.357858 | + | 0.933776i | \(0.383507\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 25.9810 | 0.827824 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 97.1944 | 3.09373 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 2.32501 | 0.0739309 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 27.1034 | 0.860967 | 0.430484 | − | 0.902598i | \(-0.358343\pi\) | ||||
0.430484 | + | 0.902598i | \(0.358343\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 47.7324 | 1.51474 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −34.3851 | −1.09008 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 27.9472 | 0.885096 | 0.442548 | − | 0.896745i | \(-0.354075\pi\) | ||||
0.442548 | + | 0.896745i | \(0.354075\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −22.3696 | −0.707742 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))