Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [4851,2,Mod(1,4851)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(4851, 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("4851.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 4851 = 3^{2} \cdot 7^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 4851.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: | \(38.7354300205\) |
Analytic rank: | \(1\) |
Dimension: | \(3\) |
Coefficient field: | 3.3.257.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{3} - x^{2} - 4x + 3 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 77) |
Fricke sign: | \(1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.3 | ||
Root | \(0.713538\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 4851.1 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.49086 | 1.76131 | 0.880653 | − | 0.473761i | \(-0.157104\pi\) | ||||
0.880653 | + | 0.473761i | \(0.157104\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 4.20440 | 2.10220 | ||||||||
\(5\) | −2.20440 | −0.985838 | −0.492919 | − | 0.870075i | \(-0.664070\pi\) | ||||
−0.492919 | + | 0.870075i | \(0.664070\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 5.49086 | 1.94131 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −5.49086 | −1.73636 | ||||||||
\(11\) | 1.00000 | 0.301511 | ||||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.28646 | −0.911501 | −0.455750 | − | 0.890108i | \(-0.650629\pi\) | ||||
−0.455750 | + | 0.890108i | \(0.650629\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 5.26819 | 1.31705 | ||||||||
\(17\) | −1.49086 | −0.361588 | −0.180794 | − | 0.983521i | \(-0.557867\pi\) | ||||
−0.180794 | + | 0.983521i | \(0.557867\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −6.91794 | −1.58708 | −0.793542 | − | 0.608515i | \(-0.791765\pi\) | ||||
−0.793542 | + | 0.608515i | \(0.791765\pi\) | |||||||
\(20\) | −9.26819 | −2.07243 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 2.49086 | 0.531054 | ||||||||
\(23\) | −6.49086 | −1.35344 | −0.676719 | − | 0.736241i | \(-0.736599\pi\) | ||||
−0.676719 | + | 0.736241i | \(0.736599\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.140614 | −0.0281228 | ||||||||
\(26\) | −8.18613 | −1.60543 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 1.64975 | 0.306351 | 0.153175 | − | 0.988199i | \(-0.451050\pi\) | ||||
0.153175 | + | 0.988199i | \(0.451050\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.35025 | −0.422117 | −0.211059 | − | 0.977473i | \(-0.567691\pi\) | ||||
−0.211059 | + | 0.977473i | \(0.567691\pi\) | |||||||
\(32\) | 2.14061 | 0.378411 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −3.71354 | −0.636867 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −5.55465 | −0.913179 | −0.456590 | − | 0.889677i | \(-0.650929\pi\) | ||||
−0.456590 | + | 0.889677i | \(0.650929\pi\) | |||||||
\(38\) | −17.2316 | −2.79534 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −12.1041 | −1.91382 | ||||||||
\(41\) | 11.2499 | 1.75694 | 0.878471 | − | 0.477796i | \(-0.158564\pi\) | ||||
0.878471 | + | 0.477796i | \(0.158564\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 5.26819 | 0.803391 | 0.401696 | − | 0.915773i | \(-0.368421\pi\) | ||||
0.401696 | + | 0.915773i | \(0.368421\pi\) | |||||||
\(44\) | 4.20440 | 0.633837 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −16.1679 | −2.38382 | ||||||||
\(47\) | −1.49086 | −0.217465 | −0.108732 | − | 0.994071i | \(-0.534679\pi\) | ||||
−0.108732 | + | 0.994071i | \(0.534679\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −0.350250 | −0.0495328 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −13.8176 | −1.91616 | ||||||||
\(53\) | −0.304735 | −0.0418585 | −0.0209293 | − | 0.999781i | \(-0.506662\pi\) | ||||
−0.0209293 | + | 0.999781i | \(0.506662\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −2.20440 | −0.297241 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 4.10930 | 0.539578 | ||||||||
\(59\) | 12.6587 | 1.64802 | 0.824012 | − | 0.566572i | \(-0.191731\pi\) | ||||
0.824012 | + | 0.566572i | \(0.191731\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −12.9817 | −1.66214 | −0.831070 | − | 0.556168i | \(-0.812271\pi\) | ||||
−0.831070 | + | 0.556168i | \(0.812271\pi\) | |||||||
\(62\) | −5.85415 | −0.743478 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −5.20440 | −0.650550 | ||||||||
\(65\) | 7.24468 | 0.898592 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −4.57292 | −0.558672 | −0.279336 | − | 0.960193i | \(-0.590114\pi\) | ||||
−0.279336 | + | 0.960193i | \(0.590114\pi\) | |||||||
\(68\) | −6.26819 | −0.760130 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −11.3267 | −1.34424 | −0.672119 | − | 0.740444i | \(-0.734615\pi\) | ||||
−0.672119 | + | 0.740444i | \(0.734615\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −8.56769 | −1.00277 | −0.501386 | − | 0.865224i | \(-0.667176\pi\) | ||||
−0.501386 | + | 0.865224i | \(0.667176\pi\) | |||||||
\(74\) | −13.8359 | −1.60839 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −29.0858 | −3.33637 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 4.63148 | 0.521082 | 0.260541 | − | 0.965463i | \(-0.416099\pi\) | ||||
0.260541 | + | 0.965463i | \(0.416099\pi\) | |||||||
\(80\) | −11.6132 | −1.29840 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 28.0220 | 3.09451 | ||||||||
\(83\) | 1.93621 | 0.212527 | 0.106263 | − | 0.994338i | \(-0.466111\pi\) | ||||
0.106263 | + | 0.994338i | \(0.466111\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 3.28646 | 0.356467 | ||||||||
\(86\) | 13.1223 | 1.41502 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 5.49086 | 0.585328 | ||||||||
\(89\) | −3.20440 | −0.339666 | −0.169833 | − | 0.985473i | \(-0.554323\pi\) | ||||
−0.169833 | + | 0.985473i | \(0.554323\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −27.2902 | −2.84520 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −3.71354 | −0.383022 | ||||||||
\(95\) | 15.2499 | 1.56461 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 1.85939 | 0.188792 | 0.0943960 | − | 0.995535i | \(-0.469908\pi\) | ||||
0.0943960 | + | 0.995535i | \(0.469908\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.591197 | −0.0591197 | ||||||||
\(101\) | −6.04551 | −0.601551 | −0.300776 | − | 0.953695i | \(-0.597246\pi\) | ||||
−0.300776 | + | 0.953695i | \(0.597246\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −1.06379 | −0.104818 | −0.0524091 | − | 0.998626i | \(-0.516690\pi\) | ||||
−0.0524091 | + | 0.998626i | \(0.516690\pi\) | |||||||
\(104\) | −18.0455 | −1.76951 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −0.759053 | −0.0737257 | ||||||||
\(107\) | 6.33198 | 0.612135 | 0.306068 | − | 0.952010i | \(-0.400987\pi\) | ||||
0.306068 | + | 0.952010i | \(0.400987\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −2.81387 | −0.269520 | −0.134760 | − | 0.990878i | \(-0.543026\pi\) | ||||
−0.134760 | + | 0.990878i | \(0.543026\pi\) | |||||||
\(110\) | −5.49086 | −0.523533 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 12.7538 | 1.19978 | 0.599889 | − | 0.800083i | \(-0.295211\pi\) | ||||
0.599889 | + | 0.800083i | \(0.295211\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 14.3085 | 1.33427 | ||||||||
\(116\) | 6.93621 | 0.644011 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 31.5311 | 2.90268 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.00000 | 0.0909091 | ||||||||
\(122\) | −32.3357 | −2.92754 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −9.88139 | −0.887375 | ||||||||
\(125\) | 11.3320 | 1.01356 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −12.3775 | −1.09832 | −0.549162 | − | 0.835716i | \(-0.685053\pi\) | ||||
−0.549162 | + | 0.835716i | \(0.685053\pi\) | |||||||
\(128\) | −17.2447 | −1.52423 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 18.0455 | 1.58270 | ||||||||
\(131\) | −0.759053 | −0.0663188 | −0.0331594 | − | 0.999450i | \(-0.510557\pi\) | ||||
−0.0331594 | + | 0.999450i | \(0.510557\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −11.3905 | −0.983992 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −8.18613 | −0.701955 | ||||||||
\(137\) | 5.84111 | 0.499040 | 0.249520 | − | 0.968370i | \(-0.419727\pi\) | ||||
0.249520 | + | 0.968370i | \(0.419727\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −5.57292 | −0.472689 | −0.236345 | − | 0.971669i | \(-0.575949\pi\) | ||||
−0.236345 | + | 0.971669i | \(0.575949\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −28.2134 | −2.36761 | ||||||||
\(143\) | −3.28646 | −0.274828 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −3.63671 | −0.302012 | ||||||||
\(146\) | −21.3409 | −1.76619 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −23.3540 | −1.91969 | ||||||||
\(149\) | 1.00000 | 0.0819232 | 0.0409616 | − | 0.999161i | \(-0.486958\pi\) | ||||
0.0409616 | + | 0.999161i | \(0.486958\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 14.8411 | 1.20775 | 0.603876 | − | 0.797078i | \(-0.293622\pi\) | ||||
0.603876 | + | 0.797078i | \(0.293622\pi\) | |||||||
\(152\) | −37.9855 | −3.08103 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 5.18089 | 0.416139 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 6.39053 | 0.510020 | 0.255010 | − | 0.966938i | \(-0.417921\pi\) | ||||
0.255010 | + | 0.966938i | \(0.417921\pi\) | |||||||
\(158\) | 11.5364 | 0.917785 | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −4.71877 | −0.373052 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 9.94518 | 0.778967 | 0.389483 | − | 0.921033i | \(-0.372654\pi\) | ||||
0.389483 | + | 0.921033i | \(0.372654\pi\) | |||||||
\(164\) | 47.2992 | 3.69344 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 4.82284 | 0.374325 | ||||||||
\(167\) | 1.94145 | 0.150234 | 0.0751168 | − | 0.997175i | \(-0.476067\pi\) | ||||
0.0751168 | + | 0.997175i | \(0.476067\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −2.19917 | −0.169167 | ||||||||
\(170\) | 8.18613 | 0.627847 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 22.1496 | 1.68889 | ||||||||
\(173\) | −6.43231 | −0.489039 | −0.244520 | − | 0.969644i | \(-0.578630\pi\) | ||||
−0.244520 | + | 0.969644i | \(0.578630\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 5.26819 | 0.397105 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −7.98173 | −0.598256 | ||||||||
\(179\) | 3.58596 | 0.268027 | 0.134014 | − | 0.990979i | \(-0.457213\pi\) | ||||
0.134014 | + | 0.990979i | \(0.457213\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 12.2134 | 0.907813 | 0.453906 | − | 0.891049i | \(-0.350030\pi\) | ||||
0.453906 | + | 0.891049i | \(0.350030\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −35.6404 | −2.62745 | ||||||||
\(185\) | 12.2447 | 0.900247 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −1.49086 | −0.109023 | ||||||||
\(188\) | −6.26819 | −0.457155 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 37.9855 | 2.75576 | ||||||||
\(191\) | −12.1093 | −0.876198 | −0.438099 | − | 0.898927i | \(-0.644348\pi\) | ||||
−0.438099 | + | 0.898927i | \(0.644348\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −11.9399 | −0.859456 | −0.429728 | − | 0.902958i | \(-0.641391\pi\) | ||||
−0.429728 | + | 0.902958i | \(0.641391\pi\) | |||||||
\(194\) | 4.63148 | 0.332521 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −12.1626 | −0.866551 | −0.433275 | − | 0.901262i | \(-0.642642\pi\) | ||||
−0.433275 | + | 0.901262i | \(0.642642\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 1.90490 | 0.135035 | 0.0675174 | − | 0.997718i | \(-0.478492\pi\) | ||||
0.0675174 | + | 0.997718i | \(0.478492\pi\) | |||||||
\(200\) | −0.772091 | −0.0545951 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −15.0586 | −1.05952 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −24.7993 | −1.73206 | ||||||||
\(206\) | −2.64975 | −0.184617 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −17.3137 | −1.20049 | ||||||||
\(209\) | −6.91794 | −0.478524 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −16.2447 | −1.11833 | −0.559165 | − | 0.829056i | \(-0.688878\pi\) | ||||
−0.559165 | + | 0.829056i | \(0.688878\pi\) | |||||||
\(212\) | −1.28123 | −0.0879951 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 15.7721 | 1.07816 | ||||||||
\(215\) | −11.6132 | −0.792014 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −7.00897 | −0.474707 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −9.26819 | −0.624861 | ||||||||
\(221\) | 4.89967 | 0.329587 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 3.03655 | 0.203342 | 0.101671 | − | 0.994818i | \(-0.467581\pi\) | ||||
0.101671 | + | 0.994818i | \(0.467581\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 31.7680 | 2.11318 | ||||||||
\(227\) | −18.4491 | −1.22451 | −0.612254 | − | 0.790661i | \(-0.709737\pi\) | ||||
−0.612254 | + | 0.790661i | \(0.709737\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −25.4998 | −1.68508 | −0.842538 | − | 0.538637i | \(-0.818940\pi\) | ||||
−0.842538 | + | 0.538637i | \(0.818940\pi\) | |||||||
\(230\) | 35.6404 | 2.35006 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 9.05855 | 0.594723 | ||||||||
\(233\) | −3.81761 | −0.250100 | −0.125050 | − | 0.992150i | \(-0.539909\pi\) | ||||
−0.125050 | + | 0.992150i | \(0.539909\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 3.28646 | 0.214385 | ||||||||
\(236\) | 53.2223 | 3.46448 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −13.0037 | −0.841142 | −0.420571 | − | 0.907260i | \(-0.638170\pi\) | ||||
−0.420571 | + | 0.907260i | \(0.638170\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −0.450583 | −0.0290246 | −0.0145123 | − | 0.999895i | \(-0.504620\pi\) | ||||
−0.0145123 | + | 0.999895i | \(0.504620\pi\) | |||||||
\(242\) | 2.49086 | 0.160119 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −54.5804 | −3.49415 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 22.7355 | 1.44663 | ||||||||
\(248\) | −12.9049 | −0.819462 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 28.2264 | 1.78519 | ||||||||
\(251\) | −1.11861 | −0.0706058 | −0.0353029 | − | 0.999377i | \(-0.511240\pi\) | ||||
−0.0353029 | + | 0.999377i | \(0.511240\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −6.49086 | −0.408077 | ||||||||
\(254\) | −30.8306 | −1.93449 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −32.5453 | −2.03408 | ||||||||
\(257\) | 22.8396 | 1.42470 | 0.712348 | − | 0.701826i | \(-0.247632\pi\) | ||||
0.712348 | + | 0.701826i | \(0.247632\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 30.4596 | 1.88902 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −1.89070 | −0.116808 | ||||||||
\(263\) | 9.19136 | 0.566764 | 0.283382 | − | 0.959007i | \(-0.408544\pi\) | ||||
0.283382 | + | 0.959007i | \(0.408544\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.671758 | 0.0412658 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −19.2264 | −1.17444 | ||||||||
\(269\) | 15.6132 | 0.951954 | 0.475977 | − | 0.879458i | \(-0.342095\pi\) | ||||
0.475977 | + | 0.879458i | \(0.342095\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 27.7445 | 1.68536 | 0.842680 | − | 0.538415i | \(-0.180977\pi\) | ||||
0.842680 | + | 0.538415i | \(0.180977\pi\) | |||||||
\(272\) | −7.85415 | −0.476228 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 14.5494 | 0.878962 | ||||||||
\(275\) | −0.140614 | −0.00847933 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 14.8124 | 0.889989 | 0.444995 | − | 0.895533i | \(-0.353206\pi\) | ||||
0.444995 | + | 0.895533i | \(0.353206\pi\) | |||||||
\(278\) | −13.8814 | −0.832551 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −15.2227 | −0.908109 | −0.454054 | − | 0.890974i | \(-0.650023\pi\) | ||||
−0.454054 | + | 0.890974i | \(0.650023\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 21.7173 | 1.29096 | 0.645479 | − | 0.763778i | \(-0.276658\pi\) | ||||
0.645479 | + | 0.763778i | \(0.276658\pi\) | |||||||
\(284\) | −47.6222 | −2.82586 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −8.18613 | −0.484056 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −14.7773 | −0.869254 | ||||||||
\(290\) | −9.05855 | −0.531937 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −36.0220 | −2.10803 | ||||||||
\(293\) | −11.1276 | −0.650080 | −0.325040 | − | 0.945700i | \(-0.605378\pi\) | ||||
−0.325040 | + | 0.945700i | \(0.605378\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −27.9049 | −1.62469 | ||||||||
\(296\) | −30.4998 | −1.77277 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 2.49086 | 0.144292 | ||||||||
\(299\) | 21.3320 | 1.23366 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 36.9672 | 2.12722 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −36.4450 | −2.09026 | ||||||||
\(305\) | 28.6169 | 1.63860 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 24.9855 | 1.42600 | 0.712998 | − | 0.701166i | \(-0.247337\pi\) | ||||
0.712998 | + | 0.701166i | \(0.247337\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 12.9049 | 0.732949 | ||||||||
\(311\) | −34.7408 | −1.96997 | −0.984984 | − | 0.172643i | \(-0.944769\pi\) | ||||
−0.984984 | + | 0.172643i | \(0.944769\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 23.7095 | 1.34014 | 0.670069 | − | 0.742299i | \(-0.266264\pi\) | ||||
0.670069 | + | 0.742299i | \(0.266264\pi\) | |||||||
\(314\) | 15.9179 | 0.898301 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 19.4726 | 1.09542 | ||||||||
\(317\) | −19.6770 | −1.10517 | −0.552585 | − | 0.833457i | \(-0.686359\pi\) | ||||
−0.552585 | + | 0.833457i | \(0.686359\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 1.64975 | 0.0923683 | ||||||||
\(320\) | 11.4726 | 0.641337 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 10.3137 | 0.573870 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.462122 | 0.0256339 | ||||||||
\(326\) | 24.7721 | 1.37200 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 61.7718 | 3.41077 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −28.1899 | −1.54946 | −0.774728 | − | 0.632295i | \(-0.782113\pi\) | ||||
−0.774728 | + | 0.632295i | \(0.782113\pi\) | |||||||
\(332\) | 8.14061 | 0.446774 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 4.83588 | 0.264608 | ||||||||
\(335\) | 10.0806 | 0.550760 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 21.7460 | 1.18458 | 0.592290 | − | 0.805725i | \(-0.298224\pi\) | ||||
0.592290 | + | 0.805725i | \(0.298224\pi\) | |||||||
\(338\) | −5.47783 | −0.297954 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 13.8176 | 0.749365 | ||||||||
\(341\) | −2.35025 | −0.127273 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 28.9269 | 1.55963 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −16.0220 | −0.861348 | ||||||||
\(347\) | 3.94145 | 0.211588 | 0.105794 | − | 0.994388i | \(-0.466262\pi\) | ||||
0.105794 | + | 0.994388i | \(0.466262\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −14.1093 | −0.755254 | −0.377627 | − | 0.925958i | \(-0.623260\pi\) | ||||
−0.377627 | + | 0.925958i | \(0.623260\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 2.14061 | 0.114095 | ||||||||
\(353\) | 4.96869 | 0.264457 | 0.132228 | − | 0.991219i | \(-0.457787\pi\) | ||||
0.132228 | + | 0.991219i | \(0.457787\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 24.9687 | 1.32520 | ||||||||
\(356\) | −13.4726 | −0.714046 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 8.93214 | 0.472078 | ||||||||
\(359\) | 4.07159 | 0.214890 | 0.107445 | − | 0.994211i | \(-0.465733\pi\) | ||||
0.107445 | + | 0.994211i | \(0.465733\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 28.8579 | 1.51884 | ||||||||
\(362\) | 30.4218 | 1.59894 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 18.8866 | 0.988571 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −18.0220 | −0.940741 | −0.470371 | − | 0.882469i | \(-0.655880\pi\) | ||||
−0.470371 | + | 0.882469i | \(0.655880\pi\) | |||||||
\(368\) | −34.1951 | −1.78254 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 30.4998 | 1.58561 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 28.9164 | 1.49724 | 0.748618 | − | 0.663001i | \(-0.230718\pi\) | ||||
0.748618 | + | 0.663001i | \(0.230718\pi\) | |||||||
\(374\) | −3.71354 | −0.192022 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −8.18613 | −0.422167 | ||||||||
\(377\) | −5.42184 | −0.279239 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 4.30847 | 0.221311 | 0.110656 | − | 0.993859i | \(-0.464705\pi\) | ||||
0.110656 | + | 0.993859i | \(0.464705\pi\) | |||||||
\(380\) | 64.1168 | 3.28912 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −30.1626 | −1.54325 | ||||||||
\(383\) | 12.3488 | 0.630992 | 0.315496 | − | 0.948927i | \(-0.397829\pi\) | ||||
0.315496 | + | 0.948927i | \(0.397829\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −29.7408 | −1.51377 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 7.81761 | 0.396879 | ||||||||
\(389\) | −29.4230 | −1.49181 | −0.745903 | − | 0.666055i | \(-0.767982\pi\) | ||||
−0.745903 | + | 0.666055i | \(0.767982\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 9.67699 | 0.489387 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −30.2954 | −1.52626 | ||||||||
\(395\) | −10.2096 | −0.513703 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −17.2995 | −0.868237 | −0.434119 | − | 0.900856i | \(-0.642940\pi\) | ||||
−0.434119 | + | 0.900856i | \(0.642940\pi\) | |||||||
\(398\) | 4.74485 | 0.237838 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −0.740780 | −0.0370390 | ||||||||
\(401\) | 24.9504 | 1.24596 | 0.622982 | − | 0.782236i | \(-0.285921\pi\) | ||||
0.622982 | + | 0.782236i | \(0.285921\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 7.72401 | 0.384760 | ||||||||
\(404\) | −25.4178 | −1.26458 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −5.55465 | −0.275334 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −38.5584 | −1.90659 | −0.953295 | − | 0.302042i | \(-0.902332\pi\) | ||||
−0.953295 | + | 0.302042i | \(0.902332\pi\) | |||||||
\(410\) | −61.7718 | −3.05069 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −4.47259 | −0.220349 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −4.26819 | −0.209517 | ||||||||
\(416\) | −7.03505 | −0.344922 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −17.2316 | −0.842827 | ||||||||
\(419\) | −0.908970 | −0.0444061 | −0.0222030 | − | 0.999753i | \(-0.507068\pi\) | ||||
−0.0222030 | + | 0.999753i | \(0.507068\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 15.5532 | 0.758014 | 0.379007 | − | 0.925394i | \(-0.376266\pi\) | ||||
0.379007 | + | 0.925394i | \(0.376266\pi\) | |||||||
\(422\) | −40.4633 | −1.96972 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −1.67326 | −0.0812606 | ||||||||
\(425\) | 0.209636 | 0.0101688 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 26.6222 | 1.28683 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −28.9269 | −1.39498 | ||||||||
\(431\) | −3.53638 | −0.170341 | −0.0851707 | − | 0.996366i | \(-0.527144\pi\) | ||||
−0.0851707 | + | 0.996366i | \(0.527144\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 17.6457 | 0.847997 | 0.423999 | − | 0.905663i | \(-0.360626\pi\) | ||||
0.423999 | + | 0.905663i | \(0.360626\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −11.8306 | −0.566585 | ||||||||
\(437\) | 44.9034 | 2.14802 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 15.0272 | 0.717211 | 0.358606 | − | 0.933489i | \(-0.383252\pi\) | ||||
0.358606 | + | 0.933489i | \(0.383252\pi\) | |||||||
\(440\) | −12.1041 | −0.577039 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 12.2044 | 0.580504 | ||||||||
\(443\) | −13.2227 | −0.628228 | −0.314114 | − | 0.949385i | \(-0.601707\pi\) | ||||
−0.314114 | + | 0.949385i | \(0.601707\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 7.06379 | 0.334856 | ||||||||
\(446\) | 7.56362 | 0.358148 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 9.90864 | 0.467617 | 0.233809 | − | 0.972283i | \(-0.424881\pi\) | ||||
0.233809 | + | 0.972283i | \(0.424881\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 11.2499 | 0.529738 | ||||||||
\(452\) | 53.6222 | 2.52217 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −45.9542 | −2.15674 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 10.3450 | 0.483919 | 0.241960 | − | 0.970286i | \(-0.422210\pi\) | ||||
0.241960 | + | 0.970286i | \(0.422210\pi\) | |||||||
\(458\) | −63.5166 | −2.96794 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 60.1586 | 2.80491 | ||||||||
\(461\) | 15.3372 | 0.714325 | 0.357163 | − | 0.934042i | \(-0.383744\pi\) | ||||
0.357163 | + | 0.934042i | \(0.383744\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −25.1313 | −1.16795 | −0.583976 | − | 0.811771i | \(-0.698504\pi\) | ||||
−0.583976 | + | 0.811771i | \(0.698504\pi\) | |||||||
\(464\) | 8.69120 | 0.403479 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −9.50914 | −0.440502 | ||||||||
\(467\) | 0.746015 | 0.0345214 | 0.0172607 | − | 0.999851i | \(-0.494505\pi\) | ||||
0.0172607 | + | 0.999851i | \(0.494505\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 8.18613 | 0.377598 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 69.5073 | 3.19933 | ||||||||
\(473\) | 5.26819 | 0.242232 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0.972758 | 0.0446332 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −32.3905 | −1.48151 | ||||||||
\(479\) | 20.1130 | 0.918988 | 0.459494 | − | 0.888181i | \(-0.348031\pi\) | ||||
0.459494 | + | 0.888181i | \(0.348031\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 18.2552 | 0.832363 | ||||||||
\(482\) | −1.12234 | −0.0511212 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 4.20440 | 0.191109 | ||||||||
\(485\) | −4.09883 | −0.186118 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −4.24992 | −0.192582 | −0.0962911 | − | 0.995353i | \(-0.530698\pi\) | ||||
−0.0962911 | + | 0.995353i | \(0.530698\pi\) | |||||||
\(488\) | −71.2809 | −3.22673 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −30.3279 | −1.36868 | −0.684340 | − | 0.729163i | \(-0.739909\pi\) | ||||
−0.684340 | + | 0.729163i | \(0.739909\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −2.45955 | −0.110773 | ||||||||
\(494\) | 56.6311 | 2.54796 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −12.3816 | −0.555948 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 14.4413 | 0.646480 | 0.323240 | − | 0.946317i | \(-0.395228\pi\) | ||||
0.323240 | + | 0.946317i | \(0.395228\pi\) | |||||||
\(500\) | 47.6442 | 2.13071 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −2.78630 | −0.124358 | ||||||||
\(503\) | 2.95822 | 0.131901 | 0.0659503 | − | 0.997823i | \(-0.478992\pi\) | ||||
0.0659503 | + | 0.997823i | \(0.478992\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 13.3267 | 0.593032 | ||||||||
\(506\) | −16.1679 | −0.718749 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −52.0399 | −2.30890 | ||||||||
\(509\) | 24.9907 | 1.10769 | 0.553847 | − | 0.832619i | \(-0.313159\pi\) | ||||
0.553847 | + | 0.832619i | \(0.313159\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −46.5767 | −2.05842 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 56.8904 | 2.50933 | ||||||||
\(515\) | 2.34502 | 0.103334 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −1.49086 | −0.0655681 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 39.7796 | 1.74445 | ||||||||
\(521\) | −28.8631 | −1.26452 | −0.632258 | − | 0.774758i | \(-0.717872\pi\) | ||||
−0.632258 | + | 0.774758i | \(0.717872\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 0.472591 | 0.0206650 | 0.0103325 | − | 0.999947i | \(-0.496711\pi\) | ||||
0.0103325 | + | 0.999947i | \(0.496711\pi\) | |||||||
\(524\) | −3.19136 | −0.139415 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 22.8944 | 0.998245 | ||||||||
\(527\) | 3.50390 | 0.152632 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 19.1313 | 0.831796 | ||||||||
\(530\) | 1.67326 | 0.0726817 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −36.9724 | −1.60145 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −13.9582 | −0.603466 | ||||||||
\(536\) | −25.1093 | −1.08456 | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 38.8904 | 1.67668 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 15.4596 | 0.664658 | 0.332329 | − | 0.943164i | \(-0.392166\pi\) | ||||
0.332329 | + | 0.943164i | \(0.392166\pi\) | |||||||
\(542\) | 69.1078 | 2.96843 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −3.19136 | −0.136829 | ||||||||
\(545\) | 6.20290 | 0.265703 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −35.0440 | −1.49837 | −0.749187 | − | 0.662359i | \(-0.769556\pi\) | ||||
−0.749187 | + | 0.662359i | \(0.769556\pi\) | |||||||
\(548\) | 24.5584 | 1.04908 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −0.350250 | −0.0149347 | ||||||||
\(551\) | −11.4129 | −0.486205 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 36.8956 | 1.56754 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −23.4308 | −0.993688 | ||||||||
\(557\) | −10.5326 | −0.446282 | −0.223141 | − | 0.974786i | \(-0.571631\pi\) | ||||
−0.223141 | + | 0.974786i | \(0.571631\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −17.3137 | −0.732292 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −37.9176 | −1.59946 | ||||||||
\(563\) | 30.7147 | 1.29447 | 0.647235 | − | 0.762290i | \(-0.275925\pi\) | ||||
0.647235 | + | 0.762290i | \(0.275925\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −28.1145 | −1.18279 | ||||||||
\(566\) | 54.0948 | 2.27377 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −62.1936 | −2.60959 | ||||||||
\(569\) | 30.7721 | 1.29003 | 0.645017 | − | 0.764169i | \(-0.276850\pi\) | ||||
0.645017 | + | 0.764169i | \(0.276850\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −7.51694 | −0.314574 | −0.157287 | − | 0.987553i | \(-0.550275\pi\) | ||||
−0.157287 | + | 0.987553i | \(0.550275\pi\) | |||||||
\(572\) | −13.8176 | −0.577743 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 0.912705 | 0.0380624 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 27.6184 | 1.14977 | 0.574885 | − | 0.818234i | \(-0.305047\pi\) | ||||
0.574885 | + | 0.818234i | \(0.305047\pi\) | |||||||
\(578\) | −36.8083 | −1.53102 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −15.2902 | −0.634891 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −0.304735 | −0.0126208 | ||||||||
\(584\) | −47.0440 | −1.94670 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −27.7173 | −1.14499 | ||||||||
\(587\) | 29.9582 | 1.23651 | 0.618254 | − | 0.785978i | \(-0.287840\pi\) | ||||
0.618254 | + | 0.785978i | \(0.287840\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 16.2589 | 0.669936 | ||||||||
\(590\) | −69.5073 | −2.86157 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −29.2630 | −1.20270 | ||||||||
\(593\) | −12.6680 | −0.520213 | −0.260107 | − | 0.965580i | \(-0.583758\pi\) | ||||
−0.260107 | + | 0.965580i | \(0.583758\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 4.20440 | 0.172219 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 53.1350 | 2.17285 | ||||||||
\(599\) | −1.29427 | −0.0528823 | −0.0264411 | − | 0.999650i | \(-0.508417\pi\) | ||||
−0.0264411 | + | 0.999650i | \(0.508417\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −41.0220 | −1.67332 | −0.836661 | − | 0.547721i | \(-0.815496\pi\) | ||||
−0.836661 | + | 0.547721i | \(0.815496\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 62.3980 | 2.53894 | ||||||||
\(605\) | −2.20440 | −0.0896217 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −21.1768 | −0.859541 | −0.429770 | − | 0.902938i | \(-0.641406\pi\) | ||||
−0.429770 | + | 0.902938i | \(0.641406\pi\) | |||||||
\(608\) | −14.8086 | −0.600570 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 71.2809 | 2.88608 | ||||||||
\(611\) | 4.89967 | 0.198219 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 6.76312 | 0.273160 | 0.136580 | − | 0.990629i | \(-0.456389\pi\) | ||||
0.136580 | + | 0.990629i | \(0.456389\pi\) | |||||||
\(614\) | 62.2354 | 2.51162 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 41.0728 | 1.65353 | 0.826763 | − | 0.562550i | \(-0.190180\pi\) | ||||
0.826763 | + | 0.562550i | \(0.190180\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −30.4267 | −1.22295 | −0.611477 | − | 0.791262i | \(-0.709424\pi\) | ||||
−0.611477 | + | 0.791262i | \(0.709424\pi\) | |||||||
\(620\) | 21.7826 | 0.874809 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −86.5345 | −3.46972 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −24.2772 | −0.971086 | ||||||||
\(626\) | 59.0571 | 2.36039 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 26.8684 | 1.07216 | ||||||||
\(629\) | 8.28123 | 0.330194 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 12.3670 | 0.492323 | 0.246162 | − | 0.969229i | \(-0.420831\pi\) | ||||
0.246162 | + | 0.969229i | \(0.420831\pi\) | |||||||
\(632\) | 25.4308 | 1.01158 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −49.0127 | −1.94654 | ||||||||
\(635\) | 27.2850 | 1.08277 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 4.10930 | 0.162689 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 38.0142 | 1.50264 | ||||||||
\(641\) | 47.1313 | 1.86157 | 0.930787 | − | 0.365561i | \(-0.119123\pi\) | ||||
0.930787 | + | 0.365561i | \(0.119123\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 1.87242 | 0.0738412 | 0.0369206 | − | 0.999318i | \(-0.488245\pi\) | ||||
0.0369206 | + | 0.999318i | \(0.488245\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 25.6900 | 1.01076 | ||||||||
\(647\) | 1.83588 | 0.0721758 | 0.0360879 | − | 0.999349i | \(-0.488510\pi\) | ||||
0.0360879 | + | 0.999349i | \(0.488510\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 12.6587 | 0.496898 | ||||||||
\(650\) | 1.15108 | 0.0451492 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 41.8135 | 1.63754 | ||||||||
\(653\) | 18.1772 | 0.711327 | 0.355664 | − | 0.934614i | \(-0.384255\pi\) | ||||
0.355664 | + | 0.934614i | \(0.384255\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 1.67326 | 0.0653796 | ||||||||
\(656\) | 59.2667 | 2.31398 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 16.8997 | 0.658318 | 0.329159 | − | 0.944275i | \(-0.393235\pi\) | ||||
0.329159 | + | 0.944275i | \(0.393235\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −45.3032 | −1.76209 | −0.881046 | − | 0.473031i | \(-0.843160\pi\) | ||||
−0.881046 | + | 0.473031i | \(0.843160\pi\) | |||||||
\(662\) | −70.2171 | −2.72907 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 10.6315 | 0.412581 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −10.7083 | −0.414627 | ||||||||
\(668\) | 8.16262 | 0.315821 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 25.1093 | 0.970057 | ||||||||
\(671\) | −12.9817 | −0.501154 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 39.5076 | 1.52291 | 0.761454 | − | 0.648219i | \(-0.224486\pi\) | ||||
0.761454 | + | 0.648219i | \(0.224486\pi\) | |||||||
\(674\) | 54.1664 | 2.08641 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −9.24618 | −0.355622 | ||||||||
\(677\) | 34.1339 | 1.31187 | 0.655936 | − | 0.754817i | \(-0.272274\pi\) | ||||
0.655936 | + | 0.754817i | \(0.272274\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 18.0455 | 0.692014 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −5.85415 | −0.224167 | ||||||||
\(683\) | −23.7863 | −0.910157 | −0.455079 | − | 0.890451i | \(-0.650389\pi\) | ||||
−0.455079 | + | 0.890451i | \(0.650389\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −12.8762 | −0.491973 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 27.7538 | 1.05810 | ||||||||
\(689\) | 1.00150 | 0.0381541 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −20.5625 | −0.782233 | −0.391116 | − | 0.920341i | \(-0.627911\pi\) | ||||
−0.391116 | + | 0.920341i | \(0.627911\pi\) | |||||||
\(692\) | −27.0440 | −1.02806 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 9.81761 | 0.372671 | ||||||||
\(695\) | 12.2850 | 0.465995 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −16.7721 | −0.635288 | ||||||||
\(698\) | −35.1443 | −1.33023 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 23.9907 | 0.906116 | 0.453058 | − | 0.891481i | \(-0.350333\pi\) | ||||
0.453058 | + | 0.891481i | \(0.350333\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 38.4267 | 1.44929 | ||||||||
\(704\) | −5.20440 | −0.196148 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 12.3763 | 0.465789 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −51.7117 | −1.94207 | −0.971037 | − | 0.238930i | \(-0.923204\pi\) | ||||
−0.971037 | + | 0.238930i | \(0.923204\pi\) | |||||||
\(710\) | 62.1936 | 2.33408 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −17.5949 | −0.659398 | ||||||||
\(713\) | 15.2552 | 0.571310 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 7.24468 | 0.270936 | ||||||||
\(716\) | 15.0768 | 0.563447 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 10.1418 | 0.378488 | ||||||||
\(719\) | −25.7851 | −0.961623 | −0.480812 | − | 0.876824i | \(-0.659658\pi\) | ||||
−0.480812 | + | 0.876824i | \(0.659658\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 71.8811 | 2.67514 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 51.3499 | 1.90840 | ||||||||
\(725\) | −0.231978 | −0.00861543 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 32.7330 | 1.21400 | 0.606999 | − | 0.794702i | \(-0.292373\pi\) | ||||
0.606999 | + | 0.794702i | \(0.292373\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 47.0440 | 1.74118 | ||||||||
\(731\) | −7.85415 | −0.290496 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −9.28273 | −0.342865 | −0.171433 | − | 0.985196i | \(-0.554840\pi\) | ||||
−0.171433 | + | 0.985196i | \(0.554840\pi\) | |||||||
\(734\) | −44.8904 | −1.65693 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −13.8944 | −0.512156 | ||||||||
\(737\) | −4.57292 | −0.168446 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −50.0933 | −1.84271 | −0.921355 | − | 0.388722i | \(-0.872917\pi\) | ||||
−0.921355 | + | 0.388722i | \(0.872917\pi\) | |||||||
\(740\) | 51.4816 | 1.89250 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −13.1679 | −0.483082 | −0.241541 | − | 0.970391i | \(-0.577653\pi\) | ||||
−0.241541 | + | 0.970391i | \(0.577653\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −2.20440 | −0.0807630 | ||||||||
\(746\) | 72.0269 | 2.63709 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −6.26819 | −0.229188 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 41.3137 | 1.50756 | 0.753779 | − | 0.657128i | \(-0.228229\pi\) | ||||
0.753779 | + | 0.657128i | \(0.228229\pi\) | |||||||
\(752\) | −7.85415 | −0.286411 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −13.5051 | −0.491826 | ||||||||
\(755\) | −32.7158 | −1.19065 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −45.5114 | −1.65414 | −0.827069 | − | 0.562100i | \(-0.809994\pi\) | ||||
−0.827069 | + | 0.562100i | \(0.809994\pi\) | |||||||
\(758\) | 10.7318 | 0.389797 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 83.7352 | 3.03740 | ||||||||
\(761\) | −31.2719 | −1.13361 | −0.566803 | − | 0.823853i | \(-0.691820\pi\) | ||||
−0.566803 | + | 0.823853i | \(0.691820\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −50.9124 | −1.84194 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 30.7591 | 1.11137 | ||||||||
\(767\) | −41.6024 | −1.50218 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 42.0467 | 1.51624 | 0.758121 | − | 0.652114i | \(-0.226118\pi\) | ||||
0.758121 | + | 0.652114i | \(0.226118\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −50.2003 | −1.80675 | ||||||||
\(773\) | −7.64452 | −0.274954 | −0.137477 | − | 0.990505i | \(-0.543899\pi\) | ||||
−0.137477 | + | 0.990505i | \(0.543899\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0.330478 | 0.0118711 | ||||||||
\(776\) | 10.2096 | 0.366505 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −73.2887 | −2.62753 | ||||||||
\(779\) | −77.8262 | −2.78841 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −11.3267 | −0.405303 | ||||||||
\(782\) | 24.1041 | 0.861960 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −14.0873 | −0.502797 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −27.9034 | −0.994649 | −0.497324 | − | 0.867565i | \(-0.665684\pi\) | ||||
−0.497324 | + | 0.867565i | \(0.665684\pi\) | |||||||
\(788\) | −51.1365 | −1.82166 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −25.4308 | −0.904788 | ||||||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 42.6640 | 1.51504 | ||||||||
\(794\) | −43.0907 | −1.52923 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 8.00897 | 0.283870 | ||||||||
\(797\) | −10.0560 | −0.356201 | −0.178101 | − | 0.984012i | \(-0.556995\pi\) | ||||
−0.178101 | + | 0.984012i | \(0.556995\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 2.22267 | 0.0786326 | ||||||||
\(800\) | −0.301000 | −0.0106420 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 62.1481 | 2.19453 | ||||||||
\(803\) | −8.56769 | −0.302347 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 19.2394 | 0.677681 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −33.1951 | −1.16780 | ||||||||
\(809\) | −38.5726 | −1.35614 | −0.678070 | − | 0.734997i | \(-0.737183\pi\) | ||||
−0.678070 | + | 0.734997i | \(0.737183\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 12.3760 | 0.434580 | 0.217290 | − | 0.976107i | \(-0.430278\pi\) | ||||
0.217290 | + | 0.976107i | \(0.430278\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −13.8359 | −0.484947 | ||||||||
\(815\) | −21.9232 | −0.767935 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −36.4450 | −1.27505 | ||||||||
\(818\) | −96.0437 | −3.35809 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −104.266 | −3.64114 | ||||||||
\(821\) | −29.7381 | −1.03787 | −0.518934 | − | 0.854814i | \(-0.673671\pi\) | ||||
−0.518934 | + | 0.854814i | \(0.673671\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 40.7770 | 1.42140 | 0.710698 | − | 0.703497i | \(-0.248379\pi\) | ||||
0.710698 | + | 0.703497i | \(0.248379\pi\) | |||||||
\(824\) | −5.84111 | −0.203485 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 18.8411 | 0.655170 | 0.327585 | − | 0.944822i | \(-0.393765\pi\) | ||||
0.327585 | + | 0.944822i | \(0.393765\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −31.1406 | −1.08156 | −0.540779 | − | 0.841165i | \(-0.681871\pi\) | ||||
−0.540779 | + | 0.841165i | \(0.681871\pi\) | |||||||
\(830\) | −10.6315 | −0.369024 | ||||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 17.1041 | 0.592977 | ||||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −4.27973 | −0.148106 | ||||||||
\(836\) | −29.0858 | −1.00595 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −2.26412 | −0.0782127 | ||||||||
\(839\) | −10.2589 | −0.354176 | −0.177088 | − | 0.984195i | \(-0.556668\pi\) | ||||
−0.177088 | + | 0.984195i | \(0.556668\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −26.2783 | −0.906149 | ||||||||
\(842\) | 38.7408 | 1.33510 | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −68.2992 | −2.35095 | ||||||||
\(845\) | 4.84785 | 0.166771 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −1.60540 | −0.0551297 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0.522175 | 0.0179104 | ||||||||
\(851\) | 36.0545 | 1.23593 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 3.04435 | 0.104237 | 0.0521183 | − | 0.998641i | \(-0.483403\pi\) | ||||
0.0521183 | + | 0.998641i | \(0.483403\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 34.7680 | 1.18835 | ||||||||
\(857\) | −49.5532 | −1.69270 | −0.846352 | − | 0.532624i | \(-0.821206\pi\) | ||||
−0.846352 | + | 0.532624i | \(0.821206\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 36.8747 | 1.25815 | 0.629074 | − | 0.777346i | \(-0.283434\pi\) | ||||
0.629074 | + | 0.777346i | \(0.283434\pi\) | |||||||
\(860\) | −48.8266 | −1.66497 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −8.80864 | −0.300023 | ||||||||
\(863\) | 46.4230 | 1.58026 | 0.790129 | − | 0.612941i | \(-0.210014\pi\) | ||||
0.790129 | + | 0.612941i | \(0.210014\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 14.1794 | 0.482114 | ||||||||
\(866\) | 43.9530 | 1.49358 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 4.63148 | 0.157112 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 15.0287 | 0.509229 | ||||||||
\(872\) | −15.4506 | −0.523223 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 111.848 | 3.78332 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 39.0310 | 1.31798 | 0.658991 | − | 0.752151i | \(-0.270983\pi\) | ||||
0.658991 | + | 0.752151i | \(0.270983\pi\) | |||||||
\(878\) | 37.4308 | 1.26323 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −11.6132 | −0.391481 | ||||||||
\(881\) | 44.0049 | 1.48256 | 0.741281 | − | 0.671194i | \(-0.234218\pi\) | ||||
0.741281 | + | 0.671194i | \(0.234218\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −23.3596 | −0.786112 | −0.393056 | − | 0.919515i | \(-0.628582\pi\) | ||||
−0.393056 | + | 0.919515i | \(0.628582\pi\) | |||||||
\(884\) | 20.6002 | 0.692859 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −32.9359 | −1.10650 | ||||||||
\(887\) | −41.9176 | −1.40746 | −0.703728 | − | 0.710470i | \(-0.748483\pi\) | ||||
−0.703728 | + | 0.710470i | \(0.748483\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 17.5949 | 0.589783 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 12.7669 | 0.427466 | ||||||||
\(893\) | 10.3137 | 0.345135 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −7.90490 | −0.264232 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 24.6811 | 0.823618 | ||||||||
\(899\) | −3.87733 | −0.129316 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 0.454318 | 0.0151355 | ||||||||
\(902\) | 28.0220 | 0.933031 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 70.0295 | 2.32915 | ||||||||
\(905\) | −26.9232 | −0.894957 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −20.5181 | −0.681293 | −0.340646 | − | 0.940192i | \(-0.610646\pi\) | ||||
−0.340646 | + | 0.940192i | \(0.610646\pi\) | |||||||
\(908\) | −77.5674 | −2.57416 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −27.6755 | −0.916930 | −0.458465 | − | 0.888712i | \(-0.651601\pi\) | ||||
−0.458465 | + | 0.888712i | \(0.651601\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 1.93621 | 0.0640793 | ||||||||
\(914\) | 25.7680 | 0.852330 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −107.212 | −3.54237 | ||||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 0.963454 | 0.0317814 | 0.0158907 | − | 0.999874i | \(-0.494942\pi\) | ||||
0.0158907 | + | 0.999874i | \(0.494942\pi\) | |||||||
\(920\) | 78.5659 | 2.59024 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 38.2029 | 1.25815 | ||||||||
\(923\) | 37.2249 | 1.22527 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0.781061 | 0.0256811 | ||||||||
\(926\) | −62.5987 | −2.05712 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 3.53148 | 0.115926 | ||||||||
\(929\) | −26.3320 | −0.863924 | −0.431962 | − | 0.901892i | \(-0.642179\pi\) | ||||
−0.431962 | + | 0.901892i | \(0.642179\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −16.0507 | −0.525760 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 1.85822 | 0.0608028 | ||||||||
\(935\) | 3.28646 | 0.107479 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −21.3865 | −0.698665 | −0.349333 | − | 0.936999i | \(-0.613592\pi\) | ||||
−0.349333 | + | 0.936999i | \(0.613592\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 13.8176 | 0.450681 | ||||||||
\(941\) | −14.8228 | −0.483211 | −0.241605 | − | 0.970375i | \(-0.577674\pi\) | ||||
−0.241605 | + | 0.970375i | \(0.577674\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −73.0217 | −2.37791 | ||||||||
\(944\) | 66.6885 | 2.17053 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 13.1223 | 0.426644 | ||||||||
\(947\) | −31.7120 | −1.03050 | −0.515251 | − | 0.857039i | \(-0.672301\pi\) | ||||
−0.515251 | + | 0.857039i | \(0.672301\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 28.1574 | 0.914027 | ||||||||
\(950\) | 2.42301 | 0.0786127 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −49.9620 | −1.61843 | −0.809213 | − | 0.587515i | \(-0.800106\pi\) | ||||
−0.809213 | + | 0.587515i | \(0.800106\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 26.6938 | 0.863790 | ||||||||
\(956\) | −54.6729 | −1.76825 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 50.0988 | 1.61862 | ||||||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −25.4763 | −0.821817 | ||||||||
\(962\) | 45.4711 | 1.46605 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −1.89443 | −0.0610156 | ||||||||
\(965\) | 26.3204 | 0.847285 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −52.4581 | −1.68694 | −0.843469 | − | 0.537178i | \(-0.819490\pi\) | ||||
−0.843469 | + | 0.537178i | \(0.819490\pi\) | |||||||
\(968\) | 5.49086 | 0.176483 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −10.2096 | −0.327812 | ||||||||
\(971\) | −30.8266 | −0.989272 | −0.494636 | − | 0.869100i | \(-0.664699\pi\) | ||||
−0.494636 | + | 0.869100i | \(0.664699\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −10.5860 | −0.339196 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −68.3902 | −2.18912 | ||||||||
\(977\) | −24.7355 | −0.791360 | −0.395680 | − | 0.918388i | \(-0.629491\pi\) | ||||
−0.395680 | + | 0.918388i | \(0.629491\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −3.20440 | −0.102413 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −75.5427 | −2.41066 | ||||||||
\(983\) | −12.2238 | −0.389880 | −0.194940 | − | 0.980815i | \(-0.562451\pi\) | ||||
−0.194940 | + | 0.980815i | \(0.562451\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 26.8113 | 0.854279 | ||||||||
\(986\) | −6.12641 | −0.195105 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 95.5894 | 3.04110 | ||||||||
\(989\) | −34.1951 | −1.08734 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 4.60017 | 0.146129 | 0.0730645 | − | 0.997327i | \(-0.476722\pi\) | ||||
0.0730645 | + | 0.997327i | \(0.476722\pi\) | |||||||
\(992\) | −5.03098 | −0.159734 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −4.19917 | −0.133123 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −34.4763 | −1.09188 | −0.545938 | − | 0.837826i | \(-0.683827\pi\) | ||||
−0.545938 | + | 0.837826i | \(0.683827\pi\) | |||||||
\(998\) | 35.9713 | 1.13865 | ||||||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))