Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [3675,2,Mod(1,3675)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(3675, 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("3675.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 3675 = 3 \cdot 5^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 3675.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: | \(29.3450227428\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Coefficient field: | 4.4.11344.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - 2x^{3} - 4x^{2} + 4x + 3 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 105) |
Fricke sign: | \(-1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.2 | ||
Root | \(1.28734\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 3675.1 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.287336 | −0.203177 | −0.101589 | − | 0.994827i | \(-0.532393\pi\) | ||||
−0.101589 | + | 0.994827i | \(0.532393\pi\) | |||||||
\(3\) | −1.00000 | −0.577350 | ||||||||
\(4\) | −1.91744 | −0.958719 | ||||||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 0.287336 | 0.117304 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 1.12562 | 0.397967 | ||||||||
\(9\) | 1.00000 | 0.333333 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −3.33039 | −1.00415 | −0.502076 | − | 0.864824i | \(-0.667430\pi\) | ||||
−0.502076 | + | 0.864824i | \(0.667430\pi\) | |||||||
\(12\) | 1.91744 | 0.553517 | ||||||||
\(13\) | −4.54754 | −1.26126 | −0.630630 | − | 0.776083i | \(-0.717204\pi\) | ||||
−0.630630 | + | 0.776083i | \(0.717204\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 3.51145 | 0.877861 | ||||||||
\(17\) | 5.54754 | 1.34548 | 0.672738 | − | 0.739881i | \(-0.265118\pi\) | ||||
0.672738 | + | 0.739881i | \(0.265118\pi\) | |||||||
\(18\) | −0.287336 | −0.0677257 | ||||||||
\(19\) | −1.65723 | −0.380195 | −0.190098 | − | 0.981765i | \(-0.560880\pi\) | ||||
−0.190098 | + | 0.981765i | \(0.560880\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.956942 | 0.204021 | ||||||||
\(23\) | −7.63366 | −1.59173 | −0.795864 | − | 0.605476i | \(-0.792983\pi\) | ||||
−0.795864 | + | 0.605476i | \(0.792983\pi\) | |||||||
\(24\) | −1.12562 | −0.229766 | ||||||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 1.30667 | 0.256259 | ||||||||
\(27\) | −1.00000 | −0.192450 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −0.118657 | −0.0220341 | −0.0110170 | − | 0.999939i | \(-0.503507\pi\) | ||||
−0.0110170 | + | 0.999939i | \(0.503507\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −6.26020 | −1.12437 | −0.562183 | − | 0.827013i | \(-0.690038\pi\) | ||||
−0.562183 | + | 0.827013i | \(0.690038\pi\) | |||||||
\(32\) | −3.26020 | −0.576328 | ||||||||
\(33\) | 3.33039 | 0.579747 | ||||||||
\(34\) | −1.59401 | −0.273370 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −1.91744 | −0.319573 | ||||||||
\(37\) | 7.75572 | 1.27503 | 0.637516 | − | 0.770437i | \(-0.279962\pi\) | ||||
0.637516 | + | 0.770437i | \(0.279962\pi\) | |||||||
\(38\) | 0.476183 | 0.0772470 | ||||||||
\(39\) | 4.54754 | 0.728189 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 0.0701896 | 0.0109618 | 0.00548089 | − | 0.999985i | \(-0.498255\pi\) | ||||
0.00548089 | + | 0.999985i | \(0.498255\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 2.92981 | 0.446792 | 0.223396 | − | 0.974728i | \(-0.428286\pi\) | ||||
0.223396 | + | 0.974728i | \(0.428286\pi\) | |||||||
\(44\) | 6.38582 | 0.962699 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 2.19342 | 0.323403 | ||||||||
\(47\) | −6.38582 | −0.931468 | −0.465734 | − | 0.884925i | \(-0.654210\pi\) | ||||
−0.465734 | + | 0.884925i | \(0.654210\pi\) | |||||||
\(48\) | −3.51145 | −0.506833 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −5.54754 | −0.776811 | ||||||||
\(52\) | 8.71963 | 1.20919 | ||||||||
\(53\) | 0.739795 | 0.101619 | 0.0508094 | − | 0.998708i | \(-0.483820\pi\) | ||||
0.0508094 | + | 0.998708i | \(0.483820\pi\) | |||||||
\(54\) | 0.287336 | 0.0391015 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 1.65723 | 0.219506 | ||||||||
\(58\) | 0.0340944 | 0.00447682 | ||||||||
\(59\) | −1.63010 | −0.212221 | −0.106111 | − | 0.994354i | \(-0.533840\pi\) | ||||
−0.106111 | + | 0.994354i | \(0.533840\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −7.31802 | −0.936977 | −0.468488 | − | 0.883470i | \(-0.655201\pi\) | ||||
−0.468488 | + | 0.883470i | \(0.655201\pi\) | |||||||
\(62\) | 1.79878 | 0.228445 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −6.08612 | −0.760765 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −0.956942 | −0.117791 | ||||||||
\(67\) | 3.03610 | 0.370918 | 0.185459 | − | 0.982652i | \(-0.440623\pi\) | ||||
0.185459 | + | 0.982652i | \(0.440623\pi\) | |||||||
\(68\) | −10.6371 | −1.28993 | ||||||||
\(69\) | 7.63366 | 0.918984 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −3.77048 | −0.447474 | −0.223737 | − | 0.974650i | \(-0.571826\pi\) | ||||
−0.223737 | + | 0.974650i | \(0.571826\pi\) | |||||||
\(72\) | 1.12562 | 0.132656 | ||||||||
\(73\) | 2.35514 | 0.275648 | 0.137824 | − | 0.990457i | \(-0.455989\pi\) | ||||
0.137824 | + | 0.990457i | \(0.455989\pi\) | |||||||
\(74\) | −2.22850 | −0.259058 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 3.17764 | 0.364501 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −1.30667 | −0.147951 | ||||||||
\(79\) | −11.9403 | −1.34339 | −0.671696 | − | 0.740827i | \(-0.734434\pi\) | ||||
−0.671696 | + | 0.740827i | \(0.734434\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | −0.0201680 | −0.00222718 | ||||||||
\(83\) | 1.22411 | 0.134363 | 0.0671817 | − | 0.997741i | \(-0.478599\pi\) | ||||
0.0671817 | + | 0.997741i | \(0.478599\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −0.841839 | −0.0907779 | ||||||||
\(87\) | 0.118657 | 0.0127214 | ||||||||
\(88\) | −3.74876 | −0.399619 | ||||||||
\(89\) | −13.0001 | −1.37801 | −0.689006 | − | 0.724755i | \(-0.741953\pi\) | ||||
−0.689006 | + | 0.724755i | \(0.741953\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 14.6371 | 1.52602 | ||||||||
\(93\) | 6.26020 | 0.649153 | ||||||||
\(94\) | 1.83488 | 0.189253 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 3.26020 | 0.332743 | ||||||||
\(97\) | −3.04306 | −0.308976 | −0.154488 | − | 0.987995i | \(-0.549373\pi\) | ||||
−0.154488 | + | 0.987995i | \(0.549373\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −3.33039 | −0.334717 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 16.0397 | 1.59600 | 0.798002 | − | 0.602654i | \(-0.205890\pi\) | ||||
0.798002 | + | 0.602654i | \(0.205890\pi\) | |||||||
\(102\) | 1.59401 | 0.157830 | ||||||||
\(103\) | 5.29191 | 0.521428 | 0.260714 | − | 0.965416i | \(-0.416042\pi\) | ||||
0.260714 | + | 0.965416i | \(0.416042\pi\) | |||||||
\(104\) | −5.11880 | −0.501940 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −0.212570 | −0.0206466 | ||||||||
\(107\) | 5.16172 | 0.499002 | 0.249501 | − | 0.968375i | \(-0.419733\pi\) | ||||
0.249501 | + | 0.968375i | \(0.419733\pi\) | |||||||
\(108\) | 1.91744 | 0.184506 | ||||||||
\(109\) | 3.24087 | 0.310419 | 0.155209 | − | 0.987882i | \(-0.450395\pi\) | ||||
0.155209 | + | 0.987882i | \(0.450395\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −7.75572 | −0.736141 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 12.6608 | 1.19103 | 0.595513 | − | 0.803345i | \(-0.296949\pi\) | ||||
0.595513 | + | 0.803345i | \(0.296949\pi\) | |||||||
\(114\) | −0.476183 | −0.0445986 | ||||||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 0.227518 | 0.0211245 | ||||||||
\(117\) | −4.54754 | −0.420420 | ||||||||
\(118\) | 0.468387 | 0.0431185 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 0.0915259 | 0.00832053 | ||||||||
\(122\) | 2.10273 | 0.190372 | ||||||||
\(123\) | −0.0701896 | −0.00632879 | ||||||||
\(124\) | 12.0036 | 1.07795 | ||||||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 16.5475 | 1.46836 | 0.734178 | − | 0.678957i | \(-0.237568\pi\) | ||||
0.734178 | + | 0.678957i | \(0.237568\pi\) | |||||||
\(128\) | 8.26917 | 0.730898 | ||||||||
\(129\) | −2.92981 | −0.257955 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −5.29785 | −0.462876 | −0.231438 | − | 0.972850i | \(-0.574343\pi\) | ||||
−0.231438 | + | 0.972850i | \(0.574343\pi\) | |||||||
\(132\) | −6.38582 | −0.555815 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −0.872379 | −0.0753621 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 6.24442 | 0.535455 | ||||||||
\(137\) | 14.8701 | 1.27044 | 0.635221 | − | 0.772331i | \(-0.280909\pi\) | ||||
0.635221 | + | 0.772331i | \(0.280909\pi\) | |||||||
\(138\) | −2.19342 | −0.186717 | ||||||||
\(139\) | −9.51685 | −0.807209 | −0.403605 | − | 0.914934i | \(-0.632243\pi\) | ||||
−0.403605 | + | 0.914934i | \(0.632243\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 6.38582 | 0.537783 | ||||||||
\(142\) | 1.08339 | 0.0909164 | ||||||||
\(143\) | 15.1451 | 1.26650 | ||||||||
\(144\) | 3.51145 | 0.292620 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −0.676716 | −0.0560054 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −14.8711 | −1.22240 | ||||||||
\(149\) | 11.3700 | 0.931470 | 0.465735 | − | 0.884924i | \(-0.345790\pi\) | ||||
0.465735 | + | 0.884924i | \(0.345790\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 8.94033 | 0.727554 | 0.363777 | − | 0.931486i | \(-0.381487\pi\) | ||||
0.363777 | + | 0.931486i | \(0.381487\pi\) | |||||||
\(152\) | −1.86542 | −0.151305 | ||||||||
\(153\) | 5.54754 | 0.448492 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −8.71963 | −0.698129 | ||||||||
\(157\) | −3.34632 | −0.267066 | −0.133533 | − | 0.991044i | \(-0.542632\pi\) | ||||
−0.133533 | + | 0.991044i | \(0.542632\pi\) | |||||||
\(158\) | 3.43088 | 0.272946 | ||||||||
\(159\) | −0.739795 | −0.0586696 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −0.287336 | −0.0225752 | ||||||||
\(163\) | 15.7559 | 1.23409 | 0.617047 | − | 0.786926i | \(-0.288329\pi\) | ||||
0.617047 | + | 0.786926i | \(0.288329\pi\) | |||||||
\(164\) | −0.134584 | −0.0105093 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −0.351730 | −0.0272996 | ||||||||
\(167\) | −22.5942 | −1.74839 | −0.874194 | − | 0.485577i | \(-0.838610\pi\) | ||||
−0.874194 | + | 0.485577i | \(0.838610\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 7.68012 | 0.590779 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −1.65723 | −0.126732 | ||||||||
\(172\) | −5.61773 | −0.428348 | ||||||||
\(173\) | 8.52620 | 0.648235 | 0.324118 | − | 0.946017i | \(-0.394933\pi\) | ||||
0.324118 | + | 0.946017i | \(0.394933\pi\) | |||||||
\(174\) | −0.0340944 | −0.00258469 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −11.6945 | −0.881506 | ||||||||
\(177\) | 1.63010 | 0.122526 | ||||||||
\(178\) | 3.73541 | 0.279981 | ||||||||
\(179\) | −11.7806 | −0.880524 | −0.440262 | − | 0.897869i | \(-0.645115\pi\) | ||||
−0.440262 | + | 0.897869i | \(0.645115\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 9.08967 | 0.675630 | 0.337815 | − | 0.941213i | \(-0.390312\pi\) | ||||
0.337815 | + | 0.941213i | \(0.390312\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 7.31802 | 0.540964 | ||||||||
\(184\) | −8.59260 | −0.633455 | ||||||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −1.79878 | −0.131893 | ||||||||
\(187\) | −18.4755 | −1.35106 | ||||||||
\(188\) | 12.2444 | 0.893016 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 20.4957 | 1.48301 | 0.741507 | − | 0.670945i | \(-0.234111\pi\) | ||||
0.741507 | + | 0.670945i | \(0.234111\pi\) | |||||||
\(192\) | 6.08612 | 0.439228 | ||||||||
\(193\) | 8.54296 | 0.614936 | 0.307468 | − | 0.951558i | \(-0.400518\pi\) | ||||
0.307468 | + | 0.951558i | \(0.400518\pi\) | |||||||
\(194\) | 0.874380 | 0.0627768 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 13.8086 | 0.983820 | 0.491910 | − | 0.870646i | \(-0.336299\pi\) | ||||
0.491910 | + | 0.870646i | \(0.336299\pi\) | |||||||
\(198\) | 0.956942 | 0.0680069 | ||||||||
\(199\) | 3.79099 | 0.268736 | 0.134368 | − | 0.990932i | \(-0.457100\pi\) | ||||
0.134368 | + | 0.990932i | \(0.457100\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −3.03610 | −0.214150 | ||||||||
\(202\) | −4.60877 | −0.324272 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 10.6371 | 0.744744 | ||||||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −1.52056 | −0.105942 | ||||||||
\(207\) | −7.63366 | −0.530576 | ||||||||
\(208\) | −15.9684 | −1.10721 | ||||||||
\(209\) | 5.51924 | 0.381774 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −0.114416 | −0.00787674 | −0.00393837 | − | 0.999992i | \(-0.501254\pi\) | ||||
−0.00393837 | + | 0.999992i | \(0.501254\pi\) | |||||||
\(212\) | −1.41851 | −0.0974238 | ||||||||
\(213\) | 3.77048 | 0.258349 | ||||||||
\(214\) | −1.48315 | −0.101386 | ||||||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −1.12562 | −0.0765888 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −0.931218 | −0.0630700 | ||||||||
\(219\) | −2.35514 | −0.159146 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −25.2277 | −1.69700 | ||||||||
\(222\) | 2.22850 | 0.149567 | ||||||||
\(223\) | 7.86673 | 0.526795 | 0.263398 | − | 0.964687i | \(-0.415157\pi\) | ||||
0.263398 | + | 0.964687i | \(0.415157\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −3.63790 | −0.241989 | ||||||||
\(227\) | 8.97866 | 0.595935 | 0.297967 | − | 0.954576i | \(-0.403691\pi\) | ||||
0.297967 | + | 0.954576i | \(0.403691\pi\) | |||||||
\(228\) | −3.17764 | −0.210445 | ||||||||
\(229\) | −5.08612 | −0.336100 | −0.168050 | − | 0.985778i | \(-0.553747\pi\) | ||||
−0.168050 | + | 0.985778i | \(0.553747\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −0.133563 | −0.00876883 | ||||||||
\(233\) | 21.8183 | 1.42936 | 0.714681 | − | 0.699451i | \(-0.246572\pi\) | ||||
0.714681 | + | 0.699451i | \(0.246572\pi\) | |||||||
\(234\) | 1.30667 | 0.0854198 | ||||||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 3.12562 | 0.203461 | ||||||||
\(237\) | 11.9403 | 0.775608 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 7.44905 | 0.481839 | 0.240920 | − | 0.970545i | \(-0.422551\pi\) | ||||
0.240920 | + | 0.970545i | \(0.422551\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −24.1758 | −1.55730 | −0.778650 | − | 0.627459i | \(-0.784095\pi\) | ||||
−0.778650 | + | 0.627459i | \(0.784095\pi\) | |||||||
\(242\) | −0.0262987 | −0.00169054 | ||||||||
\(243\) | −1.00000 | −0.0641500 | ||||||||
\(244\) | 14.0319 | 0.898297 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0.0201680 | 0.00128586 | ||||||||
\(247\) | 7.53634 | 0.479526 | ||||||||
\(248\) | −7.04661 | −0.447460 | ||||||||
\(249\) | −1.22411 | −0.0775748 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 6.00200 | 0.378843 | 0.189421 | − | 0.981896i | \(-0.439339\pi\) | ||||
0.189421 | + | 0.981896i | \(0.439339\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 25.4231 | 1.59834 | ||||||||
\(254\) | −4.75470 | −0.298336 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 9.79621 | 0.612263 | ||||||||
\(257\) | 7.33395 | 0.457479 | 0.228740 | − | 0.973488i | \(-0.426540\pi\) | ||||
0.228740 | + | 0.973488i | \(0.426540\pi\) | |||||||
\(258\) | 0.841839 | 0.0524106 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −0.118657 | −0.00734469 | ||||||||
\(262\) | 1.52226 | 0.0940457 | ||||||||
\(263\) | 9.48772 | 0.585038 | 0.292519 | − | 0.956260i | \(-0.405507\pi\) | ||||
0.292519 | + | 0.956260i | \(0.405507\pi\) | |||||||
\(264\) | 3.74876 | 0.230720 | ||||||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 13.0001 | 0.795596 | ||||||||
\(268\) | −5.82152 | −0.355606 | ||||||||
\(269\) | 16.0485 | 0.978492 | 0.489246 | − | 0.872146i | \(-0.337272\pi\) | ||||
0.489246 | + | 0.872146i | \(0.337272\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 24.1690 | 1.46816 | 0.734080 | − | 0.679063i | \(-0.237614\pi\) | ||||
0.734080 | + | 0.679063i | \(0.237614\pi\) | |||||||
\(272\) | 19.4799 | 1.18114 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −4.27272 | −0.258125 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −14.6371 | −0.881048 | ||||||||
\(277\) | 23.2177 | 1.39502 | 0.697508 | − | 0.716577i | \(-0.254292\pi\) | ||||
0.697508 | + | 0.716577i | \(0.254292\pi\) | |||||||
\(278\) | 2.73453 | 0.164006 | ||||||||
\(279\) | −6.26020 | −0.374789 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 12.4472 | 0.742538 | 0.371269 | − | 0.928525i | \(-0.378923\pi\) | ||||
0.371269 | + | 0.928525i | \(0.378923\pi\) | |||||||
\(282\) | −1.83488 | −0.109265 | ||||||||
\(283\) | −8.66775 | −0.515244 | −0.257622 | − | 0.966246i | \(-0.582939\pi\) | ||||
−0.257622 | + | 0.966246i | \(0.582939\pi\) | |||||||
\(284\) | 7.22967 | 0.429002 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −4.35173 | −0.257323 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −3.26020 | −0.192109 | ||||||||
\(289\) | 13.7752 | 0.810306 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 3.04306 | 0.178387 | ||||||||
\(292\) | −4.51583 | −0.264269 | ||||||||
\(293\) | −27.0063 | −1.57772 | −0.788862 | − | 0.614571i | \(-0.789329\pi\) | ||||
−0.788862 | + | 0.614571i | \(0.789329\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 8.73000 | 0.507421 | ||||||||
\(297\) | 3.33039 | 0.193249 | ||||||||
\(298\) | −3.26702 | −0.189253 | ||||||||
\(299\) | 34.7144 | 2.00758 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −2.56888 | −0.147822 | ||||||||
\(303\) | −16.0397 | −0.921454 | ||||||||
\(304\) | −5.81928 | −0.333759 | ||||||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −1.59401 | −0.0911233 | ||||||||
\(307\) | 2.24681 | 0.128232 | 0.0641161 | − | 0.997942i | \(-0.479577\pi\) | ||||
0.0641161 | + | 0.997942i | \(0.479577\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −5.29191 | −0.301046 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 28.5987 | 1.62169 | 0.810843 | − | 0.585264i | \(-0.199009\pi\) | ||||
0.810843 | + | 0.585264i | \(0.199009\pi\) | |||||||
\(312\) | 5.11880 | 0.289795 | ||||||||
\(313\) | −13.3285 | −0.753374 | −0.376687 | − | 0.926341i | \(-0.622937\pi\) | ||||
−0.376687 | + | 0.926341i | \(0.622937\pi\) | |||||||
\(314\) | 0.961518 | 0.0542616 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 22.8948 | 1.28794 | ||||||||
\(317\) | 29.1925 | 1.63962 | 0.819808 | − | 0.572638i | \(-0.194080\pi\) | ||||
0.819808 | + | 0.572638i | \(0.194080\pi\) | |||||||
\(318\) | 0.212570 | 0.0119203 | ||||||||
\(319\) | 0.395175 | 0.0221255 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −5.16172 | −0.288099 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −9.19357 | −0.511544 | ||||||||
\(324\) | −1.91744 | −0.106524 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −4.52723 | −0.250740 | ||||||||
\(327\) | −3.24087 | −0.179220 | ||||||||
\(328\) | 0.0790069 | 0.00436243 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −24.8915 | −1.36816 | −0.684080 | − | 0.729407i | \(-0.739796\pi\) | ||||
−0.684080 | + | 0.729407i | \(0.739796\pi\) | |||||||
\(332\) | −2.34715 | −0.128817 | ||||||||
\(333\) | 7.75572 | 0.425011 | ||||||||
\(334\) | 6.49211 | 0.355232 | ||||||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 4.72659 | 0.257474 | 0.128737 | − | 0.991679i | \(-0.458908\pi\) | ||||
0.128737 | + | 0.991679i | \(0.458908\pi\) | |||||||
\(338\) | −2.20677 | −0.120033 | ||||||||
\(339\) | −12.6608 | −0.687640 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 20.8489 | 1.12903 | ||||||||
\(342\) | 0.476183 | 0.0257490 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 3.29785 | 0.177808 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −2.44988 | −0.131707 | ||||||||
\(347\) | −14.1583 | −0.760058 | −0.380029 | − | 0.924975i | \(-0.624086\pi\) | ||||
−0.380029 | + | 0.924975i | \(0.624086\pi\) | |||||||
\(348\) | −0.227518 | −0.0121962 | ||||||||
\(349\) | 5.04930 | 0.270283 | 0.135141 | − | 0.990826i | \(-0.456851\pi\) | ||||
0.135141 | + | 0.990826i | \(0.456851\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 4.54754 | 0.242730 | ||||||||
\(352\) | 10.8578 | 0.578721 | ||||||||
\(353\) | −16.0985 | −0.856836 | −0.428418 | − | 0.903581i | \(-0.640929\pi\) | ||||
−0.428418 | + | 0.903581i | \(0.640929\pi\) | |||||||
\(354\) | −0.468387 | −0.0248945 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 24.9270 | 1.32113 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 3.38499 | 0.178902 | ||||||||
\(359\) | 0.306482 | 0.0161755 | 0.00808776 | − | 0.999967i | \(-0.497426\pi\) | ||||
0.00808776 | + | 0.999967i | \(0.497426\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −16.2536 | −0.855451 | ||||||||
\(362\) | −2.61179 | −0.137273 | ||||||||
\(363\) | −0.0915259 | −0.00480386 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −2.10273 | −0.109911 | ||||||||
\(367\) | 23.6497 | 1.23451 | 0.617253 | − | 0.786765i | \(-0.288246\pi\) | ||||
0.617253 | + | 0.786765i | \(0.288246\pi\) | |||||||
\(368\) | −26.8052 | −1.39732 | ||||||||
\(369\) | 0.0701896 | 0.00365393 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −12.0036 | −0.622355 | ||||||||
\(373\) | −18.8377 | −0.975381 | −0.487691 | − | 0.873016i | \(-0.662161\pi\) | ||||
−0.487691 | + | 0.873016i | \(0.662161\pi\) | |||||||
\(374\) | 5.30867 | 0.274505 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −7.18801 | −0.370694 | ||||||||
\(377\) | 0.539598 | 0.0277907 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 14.2534 | 0.732147 | 0.366074 | − | 0.930586i | \(-0.380702\pi\) | ||||
0.366074 | + | 0.930586i | \(0.380702\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −16.5475 | −0.847756 | ||||||||
\(382\) | −5.88914 | −0.301315 | ||||||||
\(383\) | 25.0564 | 1.28032 | 0.640161 | − | 0.768240i | \(-0.278867\pi\) | ||||
0.640161 | + | 0.768240i | \(0.278867\pi\) | |||||||
\(384\) | −8.26917 | −0.421984 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −2.45470 | −0.124941 | ||||||||
\(387\) | 2.92981 | 0.148931 | ||||||||
\(388\) | 5.83488 | 0.296221 | ||||||||
\(389\) | −13.4718 | −0.683047 | −0.341524 | − | 0.939873i | \(-0.610943\pi\) | ||||
−0.341524 | + | 0.939873i | \(0.610943\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −42.3480 | −2.14163 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 5.29785 | 0.267241 | ||||||||
\(394\) | −3.96770 | −0.199890 | ||||||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 6.38582 | 0.320900 | ||||||||
\(397\) | 18.4484 | 0.925897 | 0.462948 | − | 0.886385i | \(-0.346791\pi\) | ||||
0.462948 | + | 0.886385i | \(0.346791\pi\) | |||||||
\(398\) | −1.08929 | −0.0546010 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 25.4185 | 1.26934 | 0.634670 | − | 0.772783i | \(-0.281136\pi\) | ||||
0.634670 | + | 0.772783i | \(0.281136\pi\) | |||||||
\(402\) | 0.872379 | 0.0435103 | ||||||||
\(403\) | 28.4685 | 1.41812 | ||||||||
\(404\) | −30.7550 | −1.53012 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −25.8296 | −1.28033 | ||||||||
\(408\) | −6.24442 | −0.309145 | ||||||||
\(409\) | −18.7311 | −0.926195 | −0.463097 | − | 0.886307i | \(-0.653262\pi\) | ||||
−0.463097 | + | 0.886307i | \(0.653262\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −14.8701 | −0.733490 | ||||||||
\(412\) | −10.1469 | −0.499903 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 2.19342 | 0.107801 | ||||||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 14.8259 | 0.726900 | ||||||||
\(417\) | 9.51685 | 0.466042 | ||||||||
\(418\) | −1.58588 | −0.0775677 | ||||||||
\(419\) | 2.04745 | 0.100024 | 0.0500121 | − | 0.998749i | \(-0.484074\pi\) | ||||
0.0500121 | + | 0.998749i | \(0.484074\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −16.0512 | −0.782287 | −0.391144 | − | 0.920330i | \(-0.627920\pi\) | ||||
−0.391144 | + | 0.920330i | \(0.627920\pi\) | |||||||
\(422\) | 0.0328759 | 0.00160037 | ||||||||
\(423\) | −6.38582 | −0.310489 | ||||||||
\(424\) | 0.832729 | 0.0404409 | ||||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −1.08339 | −0.0524906 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −9.89727 | −0.478403 | ||||||||
\(429\) | −15.1451 | −0.731212 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 36.6126 | 1.76357 | 0.881784 | − | 0.471654i | \(-0.156343\pi\) | ||||
0.881784 | + | 0.471654i | \(0.156343\pi\) | |||||||
\(432\) | −3.51145 | −0.168944 | ||||||||
\(433\) | −18.0047 | −0.865252 | −0.432626 | − | 0.901574i | \(-0.642413\pi\) | ||||
−0.432626 | + | 0.901574i | \(0.642413\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −6.21417 | −0.297605 | ||||||||
\(437\) | 12.6508 | 0.605168 | ||||||||
\(438\) | 0.676716 | 0.0323347 | ||||||||
\(439\) | −19.3746 | −0.924700 | −0.462350 | − | 0.886697i | \(-0.652994\pi\) | ||||
−0.462350 | + | 0.886697i | \(0.652994\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 7.24881 | 0.344791 | ||||||||
\(443\) | −16.4424 | −0.781203 | −0.390602 | − | 0.920560i | \(-0.627733\pi\) | ||||
−0.390602 | + | 0.920560i | \(0.627733\pi\) | |||||||
\(444\) | 14.8711 | 0.705752 | ||||||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −2.26039 | −0.107033 | ||||||||
\(447\) | −11.3700 | −0.537785 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −32.7245 | −1.54436 | −0.772182 | − | 0.635401i | \(-0.780835\pi\) | ||||
−0.772182 | + | 0.635401i | \(0.780835\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −0.233759 | −0.0110073 | ||||||||
\(452\) | −24.2763 | −1.14186 | ||||||||
\(453\) | −8.94033 | −0.420053 | ||||||||
\(454\) | −2.57989 | −0.121080 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 1.86542 | 0.0873561 | ||||||||
\(457\) | −37.4303 | −1.75092 | −0.875459 | − | 0.483293i | \(-0.839441\pi\) | ||||
−0.875459 | + | 0.483293i | \(0.839441\pi\) | |||||||
\(458\) | 1.46142 | 0.0682878 | ||||||||
\(459\) | −5.54754 | −0.258937 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 28.3604 | 1.32088 | 0.660438 | − | 0.750881i | \(-0.270371\pi\) | ||||
0.660438 | + | 0.750881i | \(0.270371\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −7.20833 | −0.334999 | −0.167500 | − | 0.985872i | \(-0.553569\pi\) | ||||
−0.167500 | + | 0.985872i | \(0.553569\pi\) | |||||||
\(464\) | −0.416658 | −0.0193429 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −6.26917 | −0.290414 | ||||||||
\(467\) | 12.0790 | 0.558950 | 0.279475 | − | 0.960153i | \(-0.409840\pi\) | ||||
0.279475 | + | 0.960153i | \(0.409840\pi\) | |||||||
\(468\) | 8.71963 | 0.403065 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 3.34632 | 0.154190 | ||||||||
\(472\) | −1.83488 | −0.0844570 | ||||||||
\(473\) | −9.75742 | −0.448647 | ||||||||
\(474\) | −3.43088 | −0.157586 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0.739795 | 0.0338729 | ||||||||
\(478\) | −2.14038 | −0.0978987 | ||||||||
\(479\) | 20.1417 | 0.920298 | 0.460149 | − | 0.887842i | \(-0.347796\pi\) | ||||
0.460149 | + | 0.887842i | \(0.347796\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −35.2695 | −1.60815 | ||||||||
\(482\) | 6.94657 | 0.316408 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −0.175495 | −0.00797705 | ||||||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 0.287336 | 0.0130338 | ||||||||
\(487\) | −39.9396 | −1.80984 | −0.904919 | − | 0.425584i | \(-0.860069\pi\) | ||||
−0.904919 | + | 0.425584i | \(0.860069\pi\) | |||||||
\(488\) | −8.23731 | −0.372886 | ||||||||
\(489\) | −15.7559 | −0.712505 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −31.5989 | −1.42604 | −0.713019 | − | 0.701145i | \(-0.752673\pi\) | ||||
−0.713019 | + | 0.701145i | \(0.752673\pi\) | |||||||
\(492\) | 0.134584 | 0.00606753 | ||||||||
\(493\) | −0.658255 | −0.0296463 | ||||||||
\(494\) | −2.16546 | −0.0974286 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −21.9824 | −0.987037 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 0.351730 | 0.0157614 | ||||||||
\(499\) | 39.7859 | 1.78106 | 0.890530 | − | 0.454924i | \(-0.150334\pi\) | ||||
0.890530 | + | 0.454924i | \(0.150334\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 22.5942 | 1.00943 | ||||||||
\(502\) | −1.72459 | −0.0769722 | ||||||||
\(503\) | −12.8734 | −0.573995 | −0.286997 | − | 0.957931i | \(-0.592657\pi\) | ||||
−0.286997 | + | 0.957931i | \(0.592657\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −7.30496 | −0.324745 | ||||||||
\(507\) | −7.68012 | −0.341086 | ||||||||
\(508\) | −31.7289 | −1.40774 | ||||||||
\(509\) | 33.3961 | 1.48026 | 0.740128 | − | 0.672466i | \(-0.234765\pi\) | ||||
0.740128 | + | 0.672466i | \(0.234765\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −19.3531 | −0.855296 | ||||||||
\(513\) | 1.65723 | 0.0731686 | ||||||||
\(514\) | −2.10731 | −0.0929493 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 5.61773 | 0.247307 | ||||||||
\(517\) | 21.2673 | 0.935335 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −8.52620 | −0.374259 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 13.5518 | 0.593714 | 0.296857 | − | 0.954922i | \(-0.404061\pi\) | ||||
0.296857 | + | 0.954922i | \(0.404061\pi\) | |||||||
\(522\) | 0.0340944 | 0.00149227 | ||||||||
\(523\) | 20.2133 | 0.883866 | 0.441933 | − | 0.897048i | \(-0.354293\pi\) | ||||
0.441933 | + | 0.897048i | \(0.354293\pi\) | |||||||
\(524\) | 10.1583 | 0.443768 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −2.72616 | −0.118866 | ||||||||
\(527\) | −34.7287 | −1.51281 | ||||||||
\(528\) | 11.6945 | 0.508938 | ||||||||
\(529\) | 35.2727 | 1.53360 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −1.63010 | −0.0707404 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −0.319190 | −0.0138257 | ||||||||
\(534\) | −3.73541 | −0.161647 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 3.41749 | 0.147613 | ||||||||
\(537\) | 11.7806 | 0.508371 | ||||||||
\(538\) | −4.61130 | −0.198807 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −32.9708 | −1.41752 | −0.708762 | − | 0.705447i | \(-0.750746\pi\) | ||||
−0.708762 | + | 0.705447i | \(0.750746\pi\) | |||||||
\(542\) | −6.94461 | −0.298297 | ||||||||
\(543\) | −9.08967 | −0.390075 | ||||||||
\(544\) | −18.0861 | −0.775436 | ||||||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −24.6221 | −1.05277 | −0.526383 | − | 0.850248i | \(-0.676452\pi\) | ||||
−0.526383 | + | 0.850248i | \(0.676452\pi\) | |||||||
\(548\) | −28.5126 | −1.21800 | ||||||||
\(549\) | −7.31802 | −0.312326 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 0.196643 | 0.00837725 | ||||||||
\(552\) | 8.59260 | 0.365725 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −6.67127 | −0.283435 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 18.2480 | 0.773887 | ||||||||
\(557\) | 23.9942 | 1.01667 | 0.508334 | − | 0.861160i | \(-0.330262\pi\) | ||||
0.508334 | + | 0.861160i | \(0.330262\pi\) | |||||||
\(558\) | 1.79878 | 0.0761485 | ||||||||
\(559\) | −13.3234 | −0.563521 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 18.4755 | 0.780036 | ||||||||
\(562\) | −3.57653 | −0.150867 | ||||||||
\(563\) | 0.226496 | 0.00954567 | 0.00477284 | − | 0.999989i | \(-0.498481\pi\) | ||||
0.00477284 | + | 0.999989i | \(0.498481\pi\) | |||||||
\(564\) | −12.2444 | −0.515583 | ||||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 2.49056 | 0.104686 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −4.24413 | −0.178080 | ||||||||
\(569\) | −12.8055 | −0.536835 | −0.268417 | − | 0.963303i | \(-0.586501\pi\) | ||||
−0.268417 | + | 0.963303i | \(0.586501\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −1.56030 | −0.0652965 | −0.0326482 | − | 0.999467i | \(-0.510394\pi\) | ||||
−0.0326482 | + | 0.999467i | \(0.510394\pi\) | |||||||
\(572\) | −29.0398 | −1.21421 | ||||||||
\(573\) | −20.4957 | −0.856219 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −6.08612 | −0.253588 | ||||||||
\(577\) | −43.6497 | −1.81716 | −0.908581 | − | 0.417709i | \(-0.862833\pi\) | ||||
−0.908581 | + | 0.417709i | \(0.862833\pi\) | |||||||
\(578\) | −3.95811 | −0.164636 | ||||||||
\(579\) | −8.54296 | −0.355033 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | −0.874380 | −0.0362442 | ||||||||
\(583\) | −2.46381 | −0.102041 | ||||||||
\(584\) | 2.65099 | 0.109699 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 7.75987 | 0.320557 | ||||||||
\(587\) | −13.6961 | −0.565297 | −0.282648 | − | 0.959224i | \(-0.591213\pi\) | ||||
−0.282648 | + | 0.959224i | \(0.591213\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 10.3746 | 0.427479 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −13.8086 | −0.568009 | ||||||||
\(592\) | 27.2338 | 1.11930 | ||||||||
\(593\) | −9.15490 | −0.375947 | −0.187973 | − | 0.982174i | \(-0.560192\pi\) | ||||
−0.187973 | + | 0.982174i | \(0.560192\pi\) | |||||||
\(594\) | −0.956942 | −0.0392638 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −21.8014 | −0.893018 | ||||||||
\(597\) | −3.79099 | −0.155155 | ||||||||
\(598\) | −9.97468 | −0.407895 | ||||||||
\(599\) | 40.2736 | 1.64553 | 0.822767 | − | 0.568379i | \(-0.192429\pi\) | ||||
0.822767 | + | 0.568379i | \(0.192429\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −8.82450 | −0.359959 | −0.179980 | − | 0.983670i | \(-0.557603\pi\) | ||||
−0.179980 | + | 0.983670i | \(0.557603\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 3.03610 | 0.123639 | ||||||||
\(604\) | −17.1425 | −0.697520 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 4.60877 | 0.187218 | ||||||||
\(607\) | 28.1064 | 1.14080 | 0.570402 | − | 0.821365i | \(-0.306787\pi\) | ||||
0.570402 | + | 0.821365i | \(0.306787\pi\) | |||||||
\(608\) | 5.40292 | 0.219117 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 29.0398 | 1.17482 | ||||||||
\(612\) | −10.6371 | −0.429978 | ||||||||
\(613\) | −2.11339 | −0.0853592 | −0.0426796 | − | 0.999089i | \(-0.513589\pi\) | ||||
−0.0426796 | + | 0.999089i | \(0.513589\pi\) | |||||||
\(614\) | −0.645589 | −0.0260539 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 18.0390 | 0.726221 | 0.363111 | − | 0.931746i | \(-0.381715\pi\) | ||||
0.363111 | + | 0.931746i | \(0.381715\pi\) | |||||||
\(618\) | 1.52056 | 0.0611657 | ||||||||
\(619\) | −14.6379 | −0.588347 | −0.294173 | − | 0.955752i | \(-0.595044\pi\) | ||||
−0.294173 | + | 0.955752i | \(0.595044\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 7.63366 | 0.306328 | ||||||||
\(622\) | −8.21744 | −0.329489 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 15.9684 | 0.639249 | ||||||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 3.82977 | 0.153068 | ||||||||
\(627\) | −5.51924 | −0.220417 | ||||||||
\(628\) | 6.41636 | 0.256041 | ||||||||
\(629\) | 43.0252 | 1.71553 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 12.1251 | 0.482692 | 0.241346 | − | 0.970439i | \(-0.422411\pi\) | ||||
0.241346 | + | 0.970439i | \(0.422411\pi\) | |||||||
\(632\) | −13.4403 | −0.534625 | ||||||||
\(633\) | 0.114416 | 0.00454764 | ||||||||
\(634\) | −8.38806 | −0.333133 | ||||||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 1.41851 | 0.0562477 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −0.113548 | −0.00449540 | ||||||||
\(639\) | −3.77048 | −0.149158 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −13.0405 | −0.515068 | −0.257534 | − | 0.966269i | \(-0.582910\pi\) | ||||
−0.257534 | + | 0.966269i | \(0.582910\pi\) | |||||||
\(642\) | 1.48315 | 0.0585351 | ||||||||
\(643\) | 27.0185 | 1.06550 | 0.532752 | − | 0.846271i | \(-0.321158\pi\) | ||||
0.532752 | + | 0.846271i | \(0.321158\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 2.64164 | 0.103934 | ||||||||
\(647\) | −34.9790 | −1.37516 | −0.687582 | − | 0.726106i | \(-0.741328\pi\) | ||||
−0.687582 | + | 0.726106i | \(0.741328\pi\) | |||||||
\(648\) | 1.12562 | 0.0442185 | ||||||||
\(649\) | 5.42888 | 0.213102 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −30.2109 | −1.18315 | ||||||||
\(653\) | 32.3510 | 1.26599 | 0.632997 | − | 0.774154i | \(-0.281824\pi\) | ||||
0.632997 | + | 0.774154i | \(0.281824\pi\) | |||||||
\(654\) | 0.931218 | 0.0364135 | ||||||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 0.246467 | 0.00962292 | ||||||||
\(657\) | 2.35514 | 0.0918827 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 8.54282 | 0.332781 | 0.166390 | − | 0.986060i | \(-0.446789\pi\) | ||||
0.166390 | + | 0.986060i | \(0.446789\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −30.3431 | −1.18021 | −0.590104 | − | 0.807327i | \(-0.700913\pi\) | ||||
−0.590104 | + | 0.807327i | \(0.700913\pi\) | |||||||
\(662\) | 7.15221 | 0.277979 | ||||||||
\(663\) | 25.2277 | 0.979761 | ||||||||
\(664\) | 1.37788 | 0.0534722 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −2.22850 | −0.0863525 | ||||||||
\(667\) | 0.905788 | 0.0350722 | ||||||||
\(668\) | 43.3229 | 1.67621 | ||||||||
\(669\) | −7.86673 | −0.304145 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 24.3719 | 0.940867 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −40.5075 | −1.56145 | −0.780725 | − | 0.624875i | \(-0.785150\pi\) | ||||
−0.780725 | + | 0.624875i | \(0.785150\pi\) | |||||||
\(674\) | −1.35812 | −0.0523128 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −14.7262 | −0.566391 | ||||||||
\(677\) | 23.4211 | 0.900146 | 0.450073 | − | 0.892992i | \(-0.351398\pi\) | ||||
0.450073 | + | 0.892992i | \(0.351398\pi\) | |||||||
\(678\) | 3.63790 | 0.139713 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −8.97866 | −0.344063 | ||||||||
\(682\) | −5.99065 | −0.229394 | ||||||||
\(683\) | 51.0247 | 1.95241 | 0.976204 | − | 0.216856i | \(-0.0695801\pi\) | ||||
0.976204 | + | 0.216856i | \(0.0695801\pi\) | |||||||
\(684\) | 3.17764 | 0.121500 | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 5.08612 | 0.194047 | ||||||||
\(688\) | 10.2879 | 0.392221 | ||||||||
\(689\) | −3.36425 | −0.128168 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 24.6115 | 0.936265 | 0.468133 | − | 0.883658i | \(-0.344927\pi\) | ||||
0.468133 | + | 0.883658i | \(0.344927\pi\) | |||||||
\(692\) | −16.3485 | −0.621476 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 4.06819 | 0.154426 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 0.133563 | 0.00506269 | ||||||||
\(697\) | 0.389380 | 0.0147488 | ||||||||
\(698\) | −1.45084 | −0.0549153 | ||||||||
\(699\) | −21.8183 | −0.825243 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 25.7244 | 0.971595 | 0.485798 | − | 0.874071i | \(-0.338529\pi\) | ||||
0.485798 | + | 0.874071i | \(0.338529\pi\) | |||||||
\(702\) | −1.30667 | −0.0493171 | ||||||||
\(703\) | −12.8530 | −0.484762 | ||||||||
\(704\) | 20.2692 | 0.763923 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 4.62567 | 0.174089 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −3.12562 | −0.117468 | ||||||||
\(709\) | 11.7096 | 0.439765 | 0.219882 | − | 0.975526i | \(-0.429433\pi\) | ||||
0.219882 | + | 0.975526i | \(0.429433\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −11.9403 | −0.447797 | ||||||||
\(712\) | −14.6332 | −0.548403 | ||||||||
\(713\) | 47.7883 | 1.78968 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 22.5886 | 0.844176 | ||||||||
\(717\) | −7.44905 | −0.278190 | ||||||||
\(718\) | −0.0880634 | −0.00328650 | ||||||||
\(719\) | −12.3207 | −0.459486 | −0.229743 | − | 0.973251i | \(-0.573789\pi\) | ||||
−0.229743 | + | 0.973251i | \(0.573789\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 4.67023 | 0.173808 | ||||||||
\(723\) | 24.1758 | 0.899107 | ||||||||
\(724\) | −17.4289 | −0.647739 | ||||||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 0.0262987 | 0.000976035 0 | ||||||||
\(727\) | −17.6540 | −0.654751 | −0.327376 | − | 0.944894i | \(-0.606164\pi\) | ||||
−0.327376 | + | 0.944894i | \(0.606164\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 16.2532 | 0.601148 | ||||||||
\(732\) | −14.0319 | −0.518632 | ||||||||
\(733\) | 10.0359 | 0.370685 | 0.185342 | − | 0.982674i | \(-0.440661\pi\) | ||||
0.185342 | + | 0.982674i | \(0.440661\pi\) | |||||||
\(734\) | −6.79541 | −0.250823 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 24.8873 | 0.917357 | ||||||||
\(737\) | −10.1114 | −0.372458 | ||||||||
\(738\) | −0.0201680 | −0.000742394 0 | ||||||||
\(739\) | −31.0720 | −1.14300 | −0.571502 | − | 0.820601i | \(-0.693639\pi\) | ||||
−0.571502 | + | 0.820601i | \(0.693639\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −7.53634 | −0.276854 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −4.04189 | −0.148283 | −0.0741413 | − | 0.997248i | \(-0.523622\pi\) | ||||
−0.0741413 | + | 0.997248i | \(0.523622\pi\) | |||||||
\(744\) | 7.04661 | 0.258341 | ||||||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 5.41276 | 0.198175 | ||||||||
\(747\) | 1.22411 | 0.0447878 | ||||||||
\(748\) | 35.4256 | 1.29529 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 14.6945 | 0.536210 | 0.268105 | − | 0.963390i | \(-0.413603\pi\) | ||||
0.268105 | + | 0.963390i | \(0.413603\pi\) | |||||||
\(752\) | −22.4235 | −0.817700 | ||||||||
\(753\) | −6.00200 | −0.218725 | ||||||||
\(754\) | −0.155046 | −0.00564644 | ||||||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −29.6087 | −1.07615 | −0.538073 | − | 0.842898i | \(-0.680847\pi\) | ||||
−0.538073 | + | 0.842898i | \(0.680847\pi\) | |||||||
\(758\) | −4.09551 | −0.148756 | ||||||||
\(759\) | −25.4231 | −0.922800 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −14.2522 | −0.516643 | −0.258321 | − | 0.966059i | \(-0.583169\pi\) | ||||
−0.258321 | + | 0.966059i | \(0.583169\pi\) | |||||||
\(762\) | 4.75470 | 0.172245 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −39.2992 | −1.42179 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −7.19960 | −0.260132 | ||||||||
\(767\) | 7.41296 | 0.267666 | ||||||||
\(768\) | −9.79621 | −0.353490 | ||||||||
\(769\) | −20.6367 | −0.744178 | −0.372089 | − | 0.928197i | \(-0.621358\pi\) | ||||
−0.372089 | + | 0.928197i | \(0.621358\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −7.33395 | −0.264126 | ||||||||
\(772\) | −16.3806 | −0.589551 | ||||||||
\(773\) | −42.5599 | −1.53077 | −0.765387 | − | 0.643571i | \(-0.777452\pi\) | ||||
−0.765387 | + | 0.643571i | \(0.777452\pi\) | |||||||
\(774\) | −0.841839 | −0.0302593 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −3.42533 | −0.122962 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 3.87093 | 0.138780 | ||||||||
\(779\) | −0.116321 | −0.00416762 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 12.5572 | 0.449332 | ||||||||
\(782\) | 12.1681 | 0.435131 | ||||||||
\(783\) | 0.118657 | 0.00424046 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −1.52226 | −0.0542973 | ||||||||
\(787\) | −25.1991 | −0.898252 | −0.449126 | − | 0.893468i | \(-0.648265\pi\) | ||||
−0.449126 | + | 0.893468i | \(0.648265\pi\) | |||||||
\(788\) | −26.4771 | −0.943207 | ||||||||
\(789\) | −9.48772 | −0.337772 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 0 | 0 | ||||||||
\(792\) | −3.74876 | −0.133206 | ||||||||
\(793\) | 33.2790 | 1.18177 | ||||||||
\(794\) | −5.30088 | −0.188121 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −7.26898 | −0.257642 | ||||||||
\(797\) | 51.7211 | 1.83205 | 0.916027 | − | 0.401116i | \(-0.131377\pi\) | ||||
0.916027 | + | 0.401116i | \(0.131377\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −35.4256 | −1.25327 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −13.0001 | −0.459338 | ||||||||
\(802\) | −7.30365 | −0.257901 | ||||||||
\(803\) | −7.84354 | −0.276793 | ||||||||
\(804\) | 5.82152 | 0.205309 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −8.18003 | −0.288129 | ||||||||
\(807\) | −16.0485 | −0.564933 | ||||||||
\(808\) | 18.0546 | 0.635157 | ||||||||
\(809\) | −51.7779 | −1.82041 | −0.910207 | − | 0.414153i | \(-0.864078\pi\) | ||||
−0.910207 | + | 0.414153i | \(0.864078\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 12.0263 | 0.422299 | 0.211149 | − | 0.977454i | \(-0.432279\pi\) | ||||
0.211149 | + | 0.977454i | \(0.432279\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −24.1690 | −0.847643 | ||||||||
\(814\) | 7.42177 | 0.260133 | ||||||||
\(815\) | 0 | 0 | ||||||||
\(816\) | −19.4799 | −0.681932 | ||||||||
\(817\) | −4.85538 | −0.169868 | ||||||||
\(818\) | 5.38212 | 0.188182 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 8.07934 | 0.281971 | 0.140985 | − | 0.990012i | \(-0.454973\pi\) | ||||
0.140985 | + | 0.990012i | \(0.454973\pi\) | |||||||
\(822\) | 4.27272 | 0.149028 | ||||||||
\(823\) | −5.11525 | −0.178306 | −0.0891532 | − | 0.996018i | \(-0.528416\pi\) | ||||
−0.0891532 | + | 0.996018i | \(0.528416\pi\) | |||||||
\(824\) | 5.95668 | 0.207511 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 0.705254 | 0.0245241 | 0.0122620 | − | 0.999925i | \(-0.496097\pi\) | ||||
0.0122620 | + | 0.999925i | \(0.496097\pi\) | |||||||
\(828\) | 14.6371 | 0.508673 | ||||||||
\(829\) | 24.9581 | 0.866830 | 0.433415 | − | 0.901195i | \(-0.357309\pi\) | ||||
0.433415 | + | 0.901195i | \(0.357309\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −23.2177 | −0.805412 | ||||||||
\(832\) | 27.6769 | 0.959523 | ||||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −2.73453 | −0.0946891 | ||||||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −10.5828 | −0.366014 | ||||||||
\(837\) | 6.26020 | 0.216384 | ||||||||
\(838\) | −0.588305 | −0.0203226 | ||||||||
\(839\) | −11.6389 | −0.401819 | −0.200909 | − | 0.979610i | \(-0.564390\pi\) | ||||
−0.200909 | + | 0.979610i | \(0.564390\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −28.9859 | −0.999514 | ||||||||
\(842\) | 4.61208 | 0.158943 | ||||||||
\(843\) | −12.4472 | −0.428704 | ||||||||
\(844\) | 0.219386 | 0.00755158 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 1.83488 | 0.0630843 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 2.59775 | 0.0892071 | ||||||||
\(849\) | 8.66775 | 0.297476 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −59.2045 | −2.02951 | ||||||||
\(852\) | −7.22967 | −0.247684 | ||||||||
\(853\) | −32.5996 | −1.11619 | −0.558094 | − | 0.829778i | \(-0.688467\pi\) | ||||
−0.558094 | + | 0.829778i | \(0.688467\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 5.81013 | 0.198586 | ||||||||
\(857\) | −31.6913 | −1.08255 | −0.541277 | − | 0.840845i | \(-0.682059\pi\) | ||||
−0.541277 | + | 0.840845i | \(0.682059\pi\) | |||||||
\(858\) | 4.35173 | 0.148566 | ||||||||
\(859\) | −43.6912 | −1.49073 | −0.745363 | − | 0.666659i | \(-0.767724\pi\) | ||||
−0.745363 | + | 0.666659i | \(0.767724\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −10.5201 | −0.358317 | ||||||||
\(863\) | −38.7985 | −1.32072 | −0.660358 | − | 0.750951i | \(-0.729595\pi\) | ||||
−0.660358 | + | 0.750951i | \(0.729595\pi\) | |||||||
\(864\) | 3.26020 | 0.110914 | ||||||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 5.17340 | 0.175799 | ||||||||
\(867\) | −13.7752 | −0.467830 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 39.7660 | 1.34897 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −13.8068 | −0.467824 | ||||||||
\(872\) | 3.64799 | 0.123536 | ||||||||
\(873\) | −3.04306 | −0.102992 | ||||||||
\(874\) | −3.63501 | −0.122956 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 4.51583 | 0.152576 | ||||||||
\(877\) | 4.30073 | 0.145225 | 0.0726127 | − | 0.997360i | \(-0.476866\pi\) | ||||
0.0726127 | + | 0.997360i | \(0.476866\pi\) | |||||||
\(878\) | 5.56702 | 0.187878 | ||||||||
\(879\) | 27.0063 | 0.910899 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −1.29308 | −0.0435650 | −0.0217825 | − | 0.999763i | \(-0.506934\pi\) | ||||
−0.0217825 | + | 0.999763i | \(0.506934\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 1.49533 | 0.0503218 | 0.0251609 | − | 0.999683i | \(-0.491990\pi\) | ||||
0.0251609 | + | 0.999683i | \(0.491990\pi\) | |||||||
\(884\) | 48.3725 | 1.62694 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 4.72450 | 0.158723 | ||||||||
\(887\) | 10.0917 | 0.338845 | 0.169423 | − | 0.985543i | \(-0.445810\pi\) | ||||
0.169423 | + | 0.985543i | \(0.445810\pi\) | |||||||
\(888\) | −8.73000 | −0.292960 | ||||||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −3.33039 | −0.111572 | ||||||||
\(892\) | −15.0840 | −0.505049 | ||||||||
\(893\) | 10.5828 | 0.354140 | ||||||||
\(894\) | 3.26702 | 0.109266 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −34.7144 | −1.15908 | ||||||||
\(898\) | 9.40292 | 0.313780 | ||||||||
\(899\) | 0.742818 | 0.0247744 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 4.10404 | 0.136726 | ||||||||
\(902\) | 0.0671674 | 0.00223643 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 14.2512 | 0.473989 | ||||||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 2.56888 | 0.0853452 | ||||||||
\(907\) | 4.26698 | 0.141683 | 0.0708414 | − | 0.997488i | \(-0.477432\pi\) | ||||
0.0708414 | + | 0.997488i | \(0.477432\pi\) | |||||||
\(908\) | −17.2160 | −0.571334 | ||||||||
\(909\) | 16.0397 | 0.532002 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −28.5451 | −0.945742 | −0.472871 | − | 0.881132i | \(-0.656782\pi\) | ||||
−0.472871 | + | 0.881132i | \(0.656782\pi\) | |||||||
\(912\) | 5.81928 | 0.192696 | ||||||||
\(913\) | −4.07677 | −0.134921 | ||||||||
\(914\) | 10.7551 | 0.355746 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 9.75231 | 0.322226 | ||||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 1.59401 | 0.0526101 | ||||||||
\(919\) | −46.5643 | −1.53602 | −0.768008 | − | 0.640440i | \(-0.778752\pi\) | ||||
−0.768008 | + | 0.640440i | \(0.778752\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −2.24681 | −0.0740349 | ||||||||
\(922\) | −8.14896 | −0.268372 | ||||||||
\(923\) | 17.1464 | 0.564381 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 2.07121 | 0.0680642 | ||||||||
\(927\) | 5.29191 | 0.173809 | ||||||||
\(928\) | 0.386846 | 0.0126989 | ||||||||
\(929\) | 7.39547 | 0.242638 | 0.121319 | − | 0.992614i | \(-0.461288\pi\) | ||||
0.121319 | + | 0.992614i | \(0.461288\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −41.8352 | −1.37036 | ||||||||
\(933\) | −28.5987 | −0.936280 | ||||||||
\(934\) | −3.47073 | −0.113566 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −5.11880 | −0.167313 | ||||||||
\(937\) | 44.1988 | 1.44391 | 0.721956 | − | 0.691939i | \(-0.243243\pi\) | ||||
0.721956 | + | 0.691939i | \(0.243243\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 13.3285 | 0.434960 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 36.0359 | 1.17474 | 0.587369 | − | 0.809319i | \(-0.300164\pi\) | ||||
0.587369 | + | 0.809319i | \(0.300164\pi\) | |||||||
\(942\) | −0.961518 | −0.0313280 | ||||||||
\(943\) | −0.535804 | −0.0174482 | ||||||||
\(944\) | −5.72401 | −0.186301 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 2.80366 | 0.0911548 | ||||||||
\(947\) | −34.2341 | −1.11246 | −0.556229 | − | 0.831029i | \(-0.687752\pi\) | ||||
−0.556229 | + | 0.831029i | \(0.687752\pi\) | |||||||
\(948\) | −22.8948 | −0.743590 | ||||||||
\(949\) | −10.7101 | −0.347664 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −29.1925 | −0.946633 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 30.9689 | 1.00318 | 0.501591 | − | 0.865105i | \(-0.332748\pi\) | ||||
0.501591 | + | 0.865105i | \(0.332748\pi\) | |||||||
\(954\) | −0.212570 | −0.00688220 | ||||||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −14.2831 | −0.461948 | ||||||||
\(957\) | −0.395175 | −0.0127742 | ||||||||
\(958\) | −5.78743 | −0.186983 | ||||||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 8.19016 | 0.264199 | ||||||||
\(962\) | 10.1342 | 0.326739 | ||||||||
\(963\) | 5.16172 | 0.166334 | ||||||||
\(964\) | 46.3556 | 1.49301 | ||||||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 21.0270 | 0.676184 | 0.338092 | − | 0.941113i | \(-0.390218\pi\) | ||||
0.338092 | + | 0.941113i | \(0.390218\pi\) | |||||||
\(968\) | 0.103023 | 0.00331130 | ||||||||
\(969\) | 9.19357 | 0.295340 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 44.6937 | 1.43429 | 0.717144 | − | 0.696925i | \(-0.245449\pi\) | ||||
0.717144 | + | 0.696925i | \(0.245449\pi\) | |||||||
\(972\) | 1.91744 | 0.0615019 | ||||||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 11.4761 | 0.367718 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −25.6968 | −0.822536 | ||||||||
\(977\) | −14.4372 | −0.461886 | −0.230943 | − | 0.972967i | \(-0.574181\pi\) | ||||
−0.230943 | + | 0.972967i | \(0.574181\pi\) | |||||||
\(978\) | 4.52723 | 0.144765 | ||||||||
\(979\) | 43.2956 | 1.38373 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 3.24087 | 0.103473 | ||||||||
\(982\) | 9.07949 | 0.289738 | ||||||||
\(983\) | −16.7880 | −0.535455 | −0.267727 | − | 0.963495i | \(-0.586273\pi\) | ||||
−0.267727 | + | 0.963495i | \(0.586273\pi\) | |||||||
\(984\) | −0.0790069 | −0.00251865 | ||||||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 0.189140 | 0.00602345 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −14.4505 | −0.459730 | ||||||||
\(989\) | −22.3652 | −0.711171 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 40.1078 | 1.27407 | 0.637033 | − | 0.770837i | \(-0.280162\pi\) | ||||
0.637033 | + | 0.770837i | \(0.280162\pi\) | |||||||
\(992\) | 20.4095 | 0.648004 | ||||||||
\(993\) | 24.8915 | 0.789907 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 2.34715 | 0.0743724 | ||||||||
\(997\) | 51.3204 | 1.62533 | 0.812666 | − | 0.582730i | \(-0.198015\pi\) | ||||
0.812666 | + | 0.582730i | \(0.198015\pi\) | |||||||
\(998\) | −11.4319 | −0.361871 | ||||||||
\(999\) | −7.75572 | −0.245380 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))