Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [8032,2,Mod(1,8032)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(8032, 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("8032.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 8032 = 2^{5} \cdot 251 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 8032.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: | \(64.1358429035\) |
Analytic rank: | \(1\) |
Dimension: | \(30\) |
Twist minimal: | yes |
Fricke sign: | \(1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.13 | ||
Character | \(\chi\) | \(=\) | 8032.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −0.933880 | −0.539176 | −0.269588 | − | 0.962976i | \(-0.586888\pi\) | ||||
−0.269588 | + | 0.962976i | \(0.586888\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0.0426876 | 0.0190905 | 0.00954523 | − | 0.999954i | \(-0.496962\pi\) | ||||
0.00954523 | + | 0.999954i | \(0.496962\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.12724 | 0.804023 | 0.402011 | − | 0.915635i | \(-0.368311\pi\) | ||||
0.402011 | + | 0.915635i | \(0.368311\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −2.12787 | −0.709289 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 1.32260 | 0.398779 | 0.199390 | − | 0.979920i | \(-0.436104\pi\) | ||||
0.199390 | + | 0.979920i | \(0.436104\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −5.21113 | −1.44531 | −0.722653 | − | 0.691211i | \(-0.757078\pi\) | ||||
−0.722653 | + | 0.691211i | \(0.757078\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.0398651 | −0.0102931 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 3.02963 | 0.734793 | 0.367397 | − | 0.930064i | \(-0.380249\pi\) | ||||
0.367397 | + | 0.930064i | \(0.380249\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.11385 | −0.484950 | −0.242475 | − | 0.970158i | \(-0.577959\pi\) | ||||
−0.242475 | + | 0.970158i | \(0.577959\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −1.98659 | −0.433510 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 8.05538 | 1.67966 | 0.839831 | − | 0.542848i | \(-0.182654\pi\) | ||||
0.839831 | + | 0.542848i | \(0.182654\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.99818 | −0.999636 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 4.78881 | 0.921608 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −4.11166 | −0.763516 | −0.381758 | − | 0.924262i | \(-0.624681\pi\) | ||||
−0.381758 | + | 0.924262i | \(0.624681\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −5.14940 | −0.924860 | −0.462430 | − | 0.886656i | \(-0.653022\pi\) | ||||
−0.462430 | + | 0.886656i | \(0.653022\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −1.23515 | −0.215012 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0.0908069 | 0.0153492 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 7.42245 | 1.22024 | 0.610122 | − | 0.792308i | \(-0.291121\pi\) | ||||
0.610122 | + | 0.792308i | \(0.291121\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 4.86657 | 0.779275 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 8.58655 | 1.34099 | 0.670497 | − | 0.741913i | \(-0.266081\pi\) | ||||
0.670497 | + | 0.741913i | \(0.266081\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −3.62140 | −0.552259 | −0.276129 | − | 0.961121i | \(-0.589052\pi\) | ||||
−0.276129 | + | 0.961121i | \(0.589052\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −0.0908335 | −0.0135407 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 3.26900 | 0.476833 | 0.238417 | − | 0.971163i | \(-0.423372\pi\) | ||||
0.238417 | + | 0.971163i | \(0.423372\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −2.47483 | −0.353547 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −2.82931 | −0.396183 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 2.40266 | 0.330031 | 0.165016 | − | 0.986291i | \(-0.447233\pi\) | ||||
0.165016 | + | 0.986291i | \(0.447233\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.0564586 | 0.00761288 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 1.97408 | 0.261473 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 0.729143 | 0.0949264 | 0.0474632 | − | 0.998873i | \(-0.484886\pi\) | ||||
0.0474632 | + | 0.998873i | \(0.484886\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −7.70480 | −0.986498 | −0.493249 | − | 0.869888i | \(-0.664191\pi\) | ||||
−0.493249 | + | 0.869888i | \(0.664191\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −4.52649 | −0.570285 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −0.222450 | −0.0275916 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −7.09779 | −0.867133 | −0.433566 | − | 0.901122i | \(-0.642745\pi\) | ||||
−0.433566 | + | 0.901122i | \(0.642745\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −7.52276 | −0.905634 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −14.3674 | −1.70510 | −0.852550 | − | 0.522646i | \(-0.824945\pi\) | ||||
−0.852550 | + | 0.522646i | \(0.824945\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 15.4741 | 1.81111 | 0.905554 | − | 0.424231i | \(-0.139456\pi\) | ||||
0.905554 | + | 0.424231i | \(0.139456\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 4.66770 | 0.538980 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 2.81350 | 0.320628 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 7.89798 | 0.888592 | 0.444296 | − | 0.895880i | \(-0.353454\pi\) | ||||
0.444296 | + | 0.895880i | \(0.353454\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 1.91142 | 0.212380 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −2.92015 | −0.320528 | −0.160264 | − | 0.987074i | \(-0.551235\pi\) | ||||
−0.160264 | + | 0.987074i | \(0.551235\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.129328 | 0.0140275 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 3.83980 | 0.411670 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −5.29992 | −0.561790 | −0.280895 | − | 0.959738i | \(-0.590631\pi\) | ||||
−0.280895 | + | 0.959738i | \(0.590631\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −11.0853 | −1.16206 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 4.80892 | 0.498662 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −0.0902350 | −0.00925791 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −3.16032 | −0.320882 | −0.160441 | − | 0.987045i | \(-0.551292\pi\) | ||||
−0.160441 | + | 0.987045i | \(0.551292\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −2.81432 | −0.282850 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 16.0214 | 1.59419 | 0.797093 | − | 0.603857i | \(-0.206370\pi\) | ||||
0.797093 | + | 0.603857i | \(0.206370\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −9.17467 | −0.904007 | −0.452004 | − | 0.892016i | \(-0.649291\pi\) | ||||
−0.452004 | + | 0.892016i | \(0.649291\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −0.0848028 | −0.00827590 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 0.705430 | 0.0681965 | 0.0340983 | − | 0.999418i | \(-0.489144\pi\) | ||||
0.0340983 | + | 0.999418i | \(0.489144\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −12.9961 | −1.24480 | −0.622401 | − | 0.782699i | \(-0.713843\pi\) | ||||
−0.622401 | + | 0.782699i | \(0.713843\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −6.93168 | −0.657926 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 8.89185 | 0.836475 | 0.418237 | − | 0.908338i | \(-0.362648\pi\) | ||||
0.418237 | + | 0.908338i | \(0.362648\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.343864 | 0.0320655 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 11.0886 | 1.02514 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 6.44476 | 0.590790 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −9.25073 | −0.840975 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −8.01881 | −0.723032 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −0.426798 | −0.0381740 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −14.0860 | −1.24993 | −0.624966 | − | 0.780652i | \(-0.714887\pi\) | ||||
−0.624966 | + | 0.780652i | \(0.714887\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 3.38196 | 0.297765 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −21.9377 | −1.91670 | −0.958352 | − | 0.285591i | \(-0.907810\pi\) | ||||
−0.958352 | + | 0.285591i | \(0.907810\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −4.49667 | −0.389911 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0.204423 | 0.0175939 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −4.92052 | −0.420389 | −0.210194 | − | 0.977660i | \(-0.567410\pi\) | ||||
−0.210194 | + | 0.977660i | \(0.567410\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −19.0769 | −1.61808 | −0.809041 | − | 0.587752i | \(-0.800013\pi\) | ||||
−0.809041 | + | 0.587752i | \(0.800013\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −3.05286 | −0.257097 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −6.89224 | −0.576358 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.175517 | −0.0145759 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 2.31120 | 0.190624 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −6.82554 | −0.559170 | −0.279585 | − | 0.960121i | \(-0.590197\pi\) | ||||
−0.279585 | + | 0.960121i | \(0.590197\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 15.4860 | 1.26024 | 0.630118 | − | 0.776499i | \(-0.283006\pi\) | ||||
0.630118 | + | 0.776499i | \(0.283006\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −6.44665 | −0.521181 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −0.219815 | −0.0176560 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −20.7646 | −1.65719 | −0.828597 | − | 0.559846i | \(-0.810860\pi\) | ||||
−0.828597 | + | 0.559846i | \(0.810860\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −2.24380 | −0.177945 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 17.1358 | 1.35049 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 15.7853 | 1.23640 | 0.618198 | − | 0.786022i | \(-0.287863\pi\) | ||||
0.618198 | + | 0.786022i | \(0.287863\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −0.0527256 | −0.00410468 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 22.2023 | 1.71807 | 0.859033 | − | 0.511920i | \(-0.171066\pi\) | ||||
0.859033 | + | 0.511920i | \(0.171066\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 14.1558 | 1.08891 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 4.49799 | 0.343970 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −4.82792 | −0.367060 | −0.183530 | − | 0.983014i | \(-0.558752\pi\) | ||||
−0.183530 | + | 0.983014i | \(0.558752\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −10.6323 | −0.803730 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −0.680933 | −0.0511820 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −1.32300 | −0.0988860 | −0.0494430 | − | 0.998777i | \(-0.515745\pi\) | ||||
−0.0494430 | + | 0.998777i | \(0.515745\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 25.6059 | 1.90327 | 0.951636 | − | 0.307226i | \(-0.0994009\pi\) | ||||
0.951636 | + | 0.307226i | \(0.0994009\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 7.19536 | 0.531896 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 0.316846 | 0.0232950 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 4.00699 | 0.293020 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 10.1870 | 0.740994 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −10.0312 | −0.725829 | −0.362915 | − | 0.931822i | \(-0.618218\pi\) | ||||
−0.362915 | + | 0.931822i | \(0.618218\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 14.5059 | 1.04416 | 0.522080 | − | 0.852896i | \(-0.325156\pi\) | ||||
0.522080 | + | 0.852896i | \(0.325156\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0.207742 | 0.0148767 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 8.51286 | 0.606516 | 0.303258 | − | 0.952908i | \(-0.401926\pi\) | ||||
0.303258 | + | 0.952908i | \(0.401926\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −20.7516 | −1.47104 | −0.735521 | − | 0.677502i | \(-0.763062\pi\) | ||||
−0.735521 | + | 0.677502i | \(0.763062\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 6.62848 | 0.467537 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −8.74651 | −0.613884 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0.366539 | 0.0256002 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −17.1408 | −1.19137 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −2.79578 | −0.193388 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −0.0423444 | −0.00291511 | −0.00145755 | − | 0.999999i | \(-0.500464\pi\) | ||||
−0.00145755 | + | 0.999999i | \(0.500464\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 13.4175 | 0.919349 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −0.154589 | −0.0105429 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −10.9540 | −0.743608 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −14.4510 | −0.976506 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −15.7878 | −1.06200 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −9.44799 | −0.632684 | −0.316342 | − | 0.948645i | \(-0.602455\pi\) | ||||
−0.316342 | + | 0.948645i | \(0.602455\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 10.6355 | 0.709031 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 20.3404 | 1.35004 | 0.675019 | − | 0.737801i | \(-0.264136\pi\) | ||||
0.675019 | + | 0.737801i | \(0.264136\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −24.3796 | −1.61105 | −0.805524 | − | 0.592563i | \(-0.798116\pi\) | ||||
−0.805524 | + | 0.592563i | \(0.798116\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −2.62747 | −0.172875 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −13.6100 | −0.891618 | −0.445809 | − | 0.895128i | \(-0.647084\pi\) | ||||
−0.445809 | + | 0.895128i | \(0.647084\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.139546 | 0.00910296 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −7.37577 | −0.479108 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −6.69540 | −0.433089 | −0.216545 | − | 0.976273i | \(-0.569479\pi\) | ||||
−0.216545 | + | 0.976273i | \(0.569479\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −15.9997 | −1.03063 | −0.515315 | − | 0.857001i | \(-0.672325\pi\) | ||||
−0.515315 | + | 0.857001i | \(0.672325\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −16.1515 | −1.03612 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −0.105645 | −0.00674938 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 11.0155 | 0.700901 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 2.72707 | 0.172821 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 1.00000 | 0.0631194 | ||||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 10.6541 | 0.669815 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −0.120776 | −0.00756331 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 17.7417 | 1.10670 | 0.553348 | − | 0.832950i | \(-0.313350\pi\) | ||||
0.553348 | + | 0.832950i | \(0.313350\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 15.7894 | 0.981103 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 8.74907 | 0.541554 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −26.7857 | −1.65168 | −0.825838 | − | 0.563907i | \(-0.809298\pi\) | ||||
−0.825838 | + | 0.563907i | \(0.809298\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.102564 | 0.00630045 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 4.94949 | 0.302904 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 2.13473 | 0.130157 | 0.0650785 | − | 0.997880i | \(-0.479270\pi\) | ||||
0.0650785 | + | 0.997880i | \(0.479270\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −26.5682 | −1.61390 | −0.806951 | − | 0.590618i | \(-0.798884\pi\) | ||||
−0.806951 | + | 0.590618i | \(0.798884\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 10.3524 | 0.626555 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −6.61060 | −0.398634 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 3.36094 | 0.201939 | 0.100970 | − | 0.994890i | \(-0.467806\pi\) | ||||
0.100970 | + | 0.994890i | \(0.467806\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 10.9572 | 0.655993 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 0.637685 | 0.0380411 | 0.0190206 | − | 0.999819i | \(-0.493945\pi\) | ||||
0.0190206 | + | 0.999819i | \(0.493945\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −11.2224 | −0.667104 | −0.333552 | − | 0.942732i | \(-0.608247\pi\) | ||||
−0.333552 | + | 0.942732i | \(0.608247\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0.0842687 | 0.00499164 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 18.2657 | 1.07819 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −7.82134 | −0.460079 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 2.95137 | 0.173012 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 4.69621 | 0.274356 | 0.137178 | − | 0.990546i | \(-0.456197\pi\) | ||||
0.137178 | + | 0.990546i | \(0.456197\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0.0311254 | 0.00181219 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 6.33369 | 0.367518 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −41.9776 | −2.42763 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −7.70361 | −0.444028 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −14.9620 | −0.859547 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −0.328899 | −0.0188327 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −26.9586 | −1.53861 | −0.769304 | − | 0.638883i | \(-0.779397\pi\) | ||||
−0.769304 | + | 0.638883i | \(0.779397\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 8.56805 | 0.487419 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 20.7147 | 1.17462 | 0.587311 | − | 0.809361i | \(-0.300187\pi\) | ||||
0.587311 | + | 0.809361i | \(0.300187\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 19.5850 | 1.10701 | 0.553506 | − | 0.832845i | \(-0.313290\pi\) | ||||
0.553506 | + | 0.832845i | \(0.313290\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −0.193225 | −0.0108870 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 8.42245 | 0.473052 | 0.236526 | − | 0.971625i | \(-0.423991\pi\) | ||||
0.236526 | + | 0.971625i | \(0.423991\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −5.43809 | −0.304474 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −0.658787 | −0.0367699 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −6.40417 | −0.356338 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 26.0461 | 1.44478 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 12.1368 | 0.671167 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 6.95397 | 0.383385 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −26.6901 | −1.46702 | −0.733511 | − | 0.679678i | \(-0.762120\pi\) | ||||
−0.733511 | + | 0.679678i | \(0.762120\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −15.7940 | −0.865505 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −0.302987 | −0.0165540 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 3.26187 | 0.177685 | 0.0888427 | − | 0.996046i | \(-0.471683\pi\) | ||||
0.0888427 | + | 0.996046i | \(0.471683\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −8.30393 | −0.451007 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −6.81060 | −0.368815 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −20.1553 | −1.08828 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −0.321128 | −0.0172890 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 6.21023 | 0.333383 | 0.166691 | − | 0.986009i | \(-0.446692\pi\) | ||||
0.166691 | + | 0.986009i | \(0.446692\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 3.21986 | 0.172355 | 0.0861777 | − | 0.996280i | \(-0.472535\pi\) | ||||
0.0861777 | + | 0.996280i | \(0.472535\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −24.9551 | −1.33201 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −14.9307 | −0.794682 | −0.397341 | − | 0.917671i | \(-0.630067\pi\) | ||||
−0.397341 | + | 0.917671i | \(0.630067\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −0.613310 | −0.0325511 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −6.01864 | −0.318540 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 29.9317 | 1.57974 | 0.789868 | − | 0.613276i | \(-0.210149\pi\) | ||||
0.789868 | + | 0.613276i | \(0.210149\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −14.5317 | −0.764824 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 8.63907 | 0.453434 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 0.660552 | 0.0345749 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 34.5213 | 1.80200 | 0.900998 | − | 0.433822i | \(-0.142835\pi\) | ||||
0.900998 | + | 0.433822i | \(0.142835\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −18.2710 | −0.951152 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 5.11105 | 0.265353 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −34.6219 | −1.79266 | −0.896328 | − | 0.443392i | \(-0.853775\pi\) | ||||
−0.896328 | + | 0.443392i | \(0.853775\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0.398578 | 0.0205825 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 21.4264 | 1.10351 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −13.0725 | −0.671490 | −0.335745 | − | 0.941953i | \(-0.608988\pi\) | ||||
−0.335745 | + | 0.941953i | \(0.608988\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 13.1547 | 0.673933 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 18.8109 | 0.961191 | 0.480595 | − | 0.876943i | \(-0.340421\pi\) | ||||
0.480595 | + | 0.876943i | \(0.340421\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.120101 | 0.00612093 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 7.70586 | 0.391711 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −25.1136 | −1.27331 | −0.636655 | − | 0.771149i | \(-0.719682\pi\) | ||||
−0.636655 | + | 0.771149i | \(0.719682\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 24.4048 | 1.23420 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 20.4872 | 1.03344 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 0.337146 | 0.0169636 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 32.3823 | 1.62522 | 0.812609 | − | 0.582809i | \(-0.198046\pi\) | ||||
0.812609 | + | 0.582809i | \(0.198046\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 4.19935 | 0.210230 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −25.4636 | −1.27159 | −0.635797 | − | 0.771857i | \(-0.719328\pi\) | ||||
−0.635797 | + | 0.771857i | \(0.719328\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 26.8342 | 1.33671 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0.0815939 | 0.00405443 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 9.81694 | 0.486608 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 4.45654 | 0.220362 | 0.110181 | − | 0.993912i | \(-0.464857\pi\) | ||||
0.110181 | + | 0.993912i | \(0.464857\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 4.59518 | 0.226664 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 1.55107 | 0.0763230 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −0.124654 | −0.00611902 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 17.8155 | 0.872431 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −14.4137 | −0.704154 | −0.352077 | − | 0.935971i | \(-0.614524\pi\) | ||||
−0.352077 | + | 0.935971i | \(0.614524\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 23.8887 | 1.16427 | 0.582133 | − | 0.813094i | \(-0.302218\pi\) | ||||
0.582133 | + | 0.813094i | \(0.302218\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −6.95600 | −0.338212 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −15.1426 | −0.734525 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −16.3900 | −0.793167 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 6.43653 | 0.310759 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 5.25262 | 0.253010 | 0.126505 | − | 0.991966i | \(-0.459624\pi\) | ||||
0.126505 | + | 0.991966i | \(0.459624\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −12.6843 | −0.609569 | −0.304784 | − | 0.952421i | \(-0.598584\pi\) | ||||
−0.304784 | + | 0.952421i | \(0.598584\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0.163912 | 0.00785896 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −17.0278 | −0.814552 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −28.5669 | −1.36342 | −0.681711 | − | 0.731622i | \(-0.738764\pi\) | ||||
−0.681711 | + | 0.731622i | \(0.738764\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 5.26611 | 0.250767 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −15.7713 | −0.749316 | −0.374658 | − | 0.927163i | \(-0.622240\pi\) | ||||
−0.374658 | + | 0.927163i | \(0.622240\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −0.226241 | −0.0107248 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 6.37424 | 0.301491 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −8.04821 | −0.379818 | −0.189909 | − | 0.981802i | \(-0.560819\pi\) | ||||
−0.189909 | + | 0.981802i | \(0.560819\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 11.3566 | 0.534760 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −14.4621 | −0.679489 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −0.473206 | −0.0221842 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 11.0151 | 0.515263 | 0.257632 | − | 0.966243i | \(-0.417058\pi\) | ||||
0.257632 | + | 0.966243i | \(0.417058\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 14.5083 | 0.677191 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −23.8300 | −1.10987 | −0.554936 | − | 0.831893i | \(-0.687257\pi\) | ||||
−0.554936 | + | 0.831893i | \(0.687257\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 27.4926 | 1.27769 | 0.638846 | − | 0.769335i | \(-0.279412\pi\) | ||||
0.638846 | + | 0.769335i | \(0.279412\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0.205281 | 0.00951969 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −20.3669 | −0.942466 | −0.471233 | − | 0.882009i | \(-0.656191\pi\) | ||||
−0.471233 | + | 0.882009i | \(0.656191\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −15.0987 | −0.697194 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 19.3916 | 0.893519 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −4.78967 | −0.220229 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 10.5654 | 0.484773 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −5.11255 | −0.234088 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 21.5881 | 0.986387 | 0.493193 | − | 0.869920i | \(-0.335829\pi\) | ||||
0.493193 | + | 0.869920i | \(0.335829\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −38.6793 | −1.76363 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −16.0027 | −0.728150 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −0.134907 | −0.00612579 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 2.79284 | 0.126556 | 0.0632779 | − | 0.997996i | \(-0.479845\pi\) | ||||
0.0632779 | + | 0.997996i | \(0.479845\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −14.7415 | −0.666636 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 0.901316 | 0.0406758 | 0.0203379 | − | 0.999793i | \(-0.493526\pi\) | ||||
0.0203379 | + | 0.999793i | \(0.493526\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −12.4568 | −0.561027 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −0.120136 | −0.00539973 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −30.5630 | −1.37094 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 7.02014 | 0.314264 | 0.157132 | − | 0.987578i | \(-0.449775\pi\) | ||||
0.157132 | + | 0.987578i | \(0.449775\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −20.7343 | −0.926340 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −34.1866 | −1.52431 | −0.762153 | − | 0.647398i | \(-0.775857\pi\) | ||||
−0.762153 | + | 0.647398i | \(0.775857\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0.683913 | 0.0304337 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −13.2199 | −0.587114 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −16.1114 | −0.714126 | −0.357063 | − | 0.934080i | \(-0.616222\pi\) | ||||
−0.357063 | + | 0.934080i | \(0.616222\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 32.9172 | 1.45617 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −10.1228 | −0.446933 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −0.391644 | −0.0172579 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 4.32359 | 0.190151 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 4.50870 | 0.197910 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 10.8224 | 0.474139 | 0.237070 | − | 0.971493i | \(-0.423813\pi\) | ||||
0.237070 | + | 0.971493i | \(0.423813\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −40.9126 | −1.78898 | −0.894492 | − | 0.447083i | \(-0.852463\pi\) | ||||
−0.894492 | + | 0.447083i | \(0.852463\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 9.92934 | 0.433352 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −15.6008 | −0.679580 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 41.8891 | 1.82127 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −1.55152 | −0.0673303 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −44.7456 | −1.93815 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0.0301131 | 0.00130190 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 1.23553 | 0.0533170 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −3.27322 | −0.140987 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −31.8939 | −1.37123 | −0.685614 | − | 0.727965i | \(-0.740466\pi\) | ||||
−0.685614 | + | 0.727965i | \(0.740466\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −23.9129 | −1.02620 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −0.554772 | −0.0237638 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −32.1087 | −1.37287 | −0.686435 | − | 0.727191i | \(-0.740825\pi\) | ||||
−0.686435 | + | 0.727191i | \(0.740825\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 16.3948 | 0.699712 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 8.69142 | 0.370267 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 16.8009 | 0.714448 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −0.295897 | −0.0125601 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −34.9765 | −1.48200 | −0.741000 | − | 0.671505i | \(-0.765648\pi\) | ||||
−0.741000 | + | 0.671505i | \(0.765648\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 18.8716 | 0.798183 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −3.74205 | −0.157990 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −19.4630 | −0.820268 | −0.410134 | − | 0.912025i | \(-0.634518\pi\) | ||||
−0.410134 | + | 0.912025i | \(0.634518\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0.379571 | 0.0159687 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 4.06606 | 0.170758 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −13.9843 | −0.586252 | −0.293126 | − | 0.956074i | \(-0.594696\pi\) | ||||
−0.293126 | + | 0.956074i | \(0.594696\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −11.3182 | −0.473651 | −0.236826 | − | 0.971552i | \(-0.576107\pi\) | ||||
−0.236826 | + | 0.971552i | \(0.576107\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 9.36790 | 0.391350 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −40.2622 | −1.67905 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −5.51727 | −0.229687 | −0.114844 | − | 0.993384i | \(-0.536637\pi\) | ||||
−0.114844 | + | 0.993384i | \(0.536637\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −13.5468 | −0.562987 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −6.21186 | −0.257712 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 3.17777 | 0.131610 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0.473345 | 0.0195704 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −31.3504 | −1.29397 | −0.646985 | − | 0.762503i | \(-0.723970\pi\) | ||||
−0.646985 | + | 0.762503i | \(0.723970\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 10.8850 | 0.448510 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −7.95000 | −0.327019 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 39.3479 | 1.61583 | 0.807913 | − | 0.589302i | \(-0.200597\pi\) | ||||
0.807913 | + | 0.589302i | \(0.200597\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0.275111 | 0.0112785 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 19.3795 | 0.793150 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −13.8238 | −0.564825 | −0.282413 | − | 0.959293i | \(-0.591135\pi\) | ||||
−0.282413 | + | 0.959293i | \(0.591135\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −43.6787 | −1.78169 | −0.890846 | − | 0.454306i | \(-0.849887\pi\) | ||||
−0.890846 | + | 0.454306i | \(0.849887\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 15.1031 | 0.615048 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −0.394891 | −0.0160546 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 17.5233 | 0.711250 | 0.355625 | − | 0.934629i | \(-0.384268\pi\) | ||||
0.355625 | + | 0.934629i | \(0.384268\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 8.16819 | 0.330992 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −17.0352 | −0.689170 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 23.6646 | 0.955804 | 0.477902 | − | 0.878413i | \(-0.341397\pi\) | ||||
0.477902 | + | 0.878413i | \(0.341397\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −0.342303 | −0.0138030 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 2.35702 | 0.0948903 | 0.0474451 | − | 0.998874i | \(-0.484892\pi\) | ||||
0.0474451 | + | 0.998874i | \(0.484892\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 20.7292 | 0.833177 | 0.416589 | − | 0.909095i | \(-0.363226\pi\) | ||||
0.416589 | + | 0.909095i | \(0.363226\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 38.5757 | 1.54799 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −11.2742 | −0.451692 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 24.9727 | 0.998907 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 2.61092 | 0.104270 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 22.4873 | 0.896626 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 6.74378 | 0.268466 | 0.134233 | − | 0.990950i | \(-0.457143\pi\) | ||||
0.134233 | + | 0.990950i | \(0.457143\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 0.0395446 | 0.00157176 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −0.601298 | −0.0238618 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 12.8967 | 0.510984 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 30.5720 | 1.20941 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −36.7633 | −1.45206 | −0.726032 | − | 0.687661i | \(-0.758638\pi\) | ||||
−0.726032 | + | 0.687661i | \(0.758638\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −32.4941 | −1.28144 | −0.640721 | − | 0.767774i | \(-0.721364\pi\) | ||||
−0.640721 | + | 0.767774i | \(0.721364\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0.144367 | 0.00568446 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −10.7061 | −0.420899 | −0.210449 | − | 0.977605i | \(-0.567493\pi\) | ||||
−0.210449 | + | 0.977605i | \(0.567493\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 0.964366 | 0.0378547 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 10.2298 | 0.400936 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −14.8390 | −0.580696 | −0.290348 | − | 0.956921i | \(-0.593771\pi\) | ||||
−0.290348 | + | 0.956921i | \(0.593771\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −0.936466 | −0.0365907 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −32.9269 | −1.28460 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −17.7696 | −0.692207 | −0.346103 | − | 0.938196i | \(-0.612495\pi\) | ||||
−0.346103 | + | 0.938196i | \(0.612495\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −17.1922 | −0.668698 | −0.334349 | − | 0.942449i | \(-0.608516\pi\) | ||||
−0.334349 | + | 0.942449i | \(0.608516\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 14.7439 | 0.572606 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −0.191952 | −0.00744357 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −33.1210 | −1.28245 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 8.82329 | 0.341128 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −10.1904 | −0.393395 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −10.1821 | −0.392492 | −0.196246 | − | 0.980555i | \(-0.562875\pi\) | ||||
−0.196246 | + | 0.980555i | \(0.562875\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −23.9353 | −0.921272 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 27.7753 | 1.06749 | 0.533746 | − | 0.845645i | \(-0.320784\pi\) | ||||
0.533746 | + | 0.845645i | \(0.320784\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −6.72278 | −0.257997 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −18.9955 | −0.727908 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −50.4494 | −1.93039 | −0.965197 | − | 0.261525i | \(-0.915774\pi\) | ||||
−0.965197 | + | 0.261525i | \(0.915774\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −0.210045 | −0.00802541 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 22.7676 | 0.868639 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −12.5206 | −0.476996 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −38.9659 | −1.48233 | −0.741167 | − | 0.671321i | \(-0.765727\pi\) | ||||
−0.741167 | + | 0.671321i | \(0.765727\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −5.98675 | −0.227418 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −0.814347 | −0.0308899 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 26.0141 | 0.985353 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 12.7101 | 0.480739 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 22.9145 | 0.865470 | 0.432735 | − | 0.901521i | \(-0.357549\pi\) | ||||
0.432735 | + | 0.901521i | \(0.357549\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −15.6899 | −0.591757 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −0.130319 | −0.00490810 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 34.0814 | 1.28176 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 17.0445 | 0.640121 | 0.320060 | − | 0.947397i | \(-0.396297\pi\) | ||||
0.320060 | + | 0.947397i | \(0.396297\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −16.8059 | −0.630269 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −41.4804 | −1.55345 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.294213 | −0.0110029 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 6.25270 | 0.233511 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −20.4652 | −0.763224 | −0.381612 | − | 0.924323i | \(-0.624631\pi\) | ||||
−0.381612 | + | 0.924323i | \(0.624631\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −19.5168 | −0.726842 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 14.9418 | 0.555691 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 20.5508 | 0.763238 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 47.1147 | 1.74739 | 0.873693 | − | 0.486477i | \(-0.161718\pi\) | ||||
0.873693 | + | 0.486477i | \(0.161718\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 9.34929 | 0.346270 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −10.9715 | −0.405796 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 5.80003 | 0.214229 | 0.107114 | − | 0.994247i | \(-0.465839\pi\) | ||||
0.107114 | + | 0.994247i | \(0.465839\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0.0986594 | 0.00363911 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −9.38754 | −0.345795 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 15.6216 | 0.574652 | 0.287326 | − | 0.957833i | \(-0.407234\pi\) | ||||
0.287326 | + | 0.957833i | \(0.407234\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −10.2872 | −0.377909 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −4.91148 | −0.180185 | −0.0900924 | − | 0.995933i | \(-0.528716\pi\) | ||||
−0.0900924 | + | 0.995933i | \(0.528716\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −0.291366 | −0.0106748 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 6.21368 | 0.227347 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 1.50062 | 0.0548315 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 50.0234 | 1.82538 | 0.912689 | − | 0.408654i | \(-0.134002\pi\) | ||||
0.912689 | + | 0.408654i | \(0.134002\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −0.933880 | −0.0340325 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 0.661061 | 0.0240585 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 5.99117 | 0.217753 | 0.108876 | − | 0.994055i | \(-0.465275\pi\) | ||||
0.108876 | + | 0.994055i | \(0.465275\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −9.94961 | −0.361148 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −36.1259 | −1.30956 | −0.654781 | − | 0.755819i | \(-0.727239\pi\) | ||||
−0.654781 | + | 0.755819i | \(0.727239\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −27.6459 | −1.00085 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −0.275192 | −0.00994958 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −3.79966 | −0.137198 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 22.7803 | 0.821480 | 0.410740 | − | 0.911752i | \(-0.365270\pi\) | ||||
0.410740 | + | 0.911752i | \(0.365270\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −16.5686 | −0.596704 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −26.1664 | −0.941139 | −0.470569 | − | 0.882363i | \(-0.655951\pi\) | ||||
−0.470569 | + | 0.882363i | \(0.655951\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 25.7376 | 0.924522 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −14.7454 | −0.528988 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −18.1506 | −0.650314 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −19.0024 | −0.679958 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −19.6900 | −0.703663 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −0.886389 | −0.0316366 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −28.1832 | −1.00462 | −0.502312 | − | 0.864687i | \(-0.667517\pi\) | ||||
−0.502312 | + | 0.864687i | \(0.667517\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 25.0146 | 0.890544 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 18.9151 | 0.672545 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 40.1507 | 1.42579 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −0.0957824 | −0.00339705 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 46.9756 | 1.66396 | 0.831980 | − | 0.554805i | \(-0.187207\pi\) | ||||
0.831980 | + | 0.554805i | \(0.187207\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 9.90387 | 0.350374 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 11.2775 | 0.398472 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 20.4661 | 0.722232 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.731484 | 0.0257814 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −1.99359 | −0.0701775 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −47.9346 | −1.68529 | −0.842646 | − | 0.538468i | \(-0.819003\pi\) | ||||
−0.842646 | + | 0.538468i | \(0.819003\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 6.23321 | 0.218878 | 0.109439 | − | 0.993994i | \(-0.465095\pi\) | ||||
0.109439 | + | 0.993994i | \(0.465095\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 24.8115 | 0.870177 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 0.673834 | 0.0236034 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 7.65509 | 0.267818 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 23.5881 | 0.824236 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 50.8087 | 1.77323 | 0.886617 | − | 0.462504i | \(-0.153049\pi\) | ||||
0.886617 | + | 0.462504i | \(0.153049\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −55.0394 | −1.91855 | −0.959276 | − | 0.282471i | \(-0.908846\pi\) | ||||
−0.959276 | + | 0.282471i | \(0.908846\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 6.17351 | 0.214934 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 17.9643 | 0.624681 | 0.312341 | − | 0.949970i | \(-0.398887\pi\) | ||||
0.312341 | + | 0.949970i | \(0.398887\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −1.38808 | −0.0482100 | −0.0241050 | − | 0.999709i | \(-0.507674\pi\) | ||||
−0.0241050 | + | 0.999709i | \(0.507674\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −3.13872 | −0.108881 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −7.49782 | −0.259784 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 0.947762 | 0.0327987 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −24.6595 | −0.852358 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 16.2891 | 0.562362 | 0.281181 | − | 0.959655i | \(-0.409274\pi\) | ||||
0.281181 | + | 0.959655i | \(0.409274\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −12.0942 | −0.417043 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −0.595522 | −0.0205109 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 0.604278 | 0.0207878 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −19.6786 | −0.676163 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 10.4804 | 0.359686 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 59.7906 | 2.04960 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 43.9144 | 1.50360 | 0.751800 | − | 0.659391i | \(-0.229186\pi\) | ||||
0.751800 | + | 0.659391i | \(0.229186\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0.192008 | 0.00656654 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 19.7541 | 0.674786 | 0.337393 | − | 0.941364i | \(-0.390455\pi\) | ||||
0.337393 | + | 0.941364i | \(0.390455\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 7.69544 | 0.262565 | 0.131283 | − | 0.991345i | \(-0.458090\pi\) | ||||
0.131283 | + | 0.991345i | \(0.458090\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −17.0580 | −0.581334 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −49.1936 | −1.67457 | −0.837284 | − | 0.546768i | \(-0.815858\pi\) | ||||
−0.837284 | + | 0.546768i | \(0.815858\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −0.206092 | −0.00700734 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 7.30420 | 0.248064 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 10.4459 | 0.354352 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 36.9875 | 1.25327 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 6.72475 | 0.227598 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −0.907903 | −0.0306927 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 19.7677 | 0.667509 | 0.333755 | − | 0.942660i | \(-0.391684\pi\) | ||||
0.333755 | + | 0.942660i | \(0.391684\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −4.38570 | −0.147926 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −3.28078 | −0.110532 | −0.0552661 | − | 0.998472i | \(-0.517601\pi\) | ||||
−0.0552661 | + | 0.998472i | \(0.517601\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 4.51248 | 0.151857 | 0.0759286 | − | 0.997113i | \(-0.475808\pi\) | ||||
0.0759286 | + | 0.997113i | \(0.475808\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −0.0290674 | −0.000977089 0 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −8.04559 | −0.270145 | −0.135072 | − | 0.990836i | \(-0.543127\pi\) | ||||
−0.135072 | + | 0.990836i | \(0.543127\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −29.9644 | −1.00497 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 2.52805 | 0.0846928 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −6.91017 | −0.231240 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −0.0564758 | −0.00188778 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 39.2020 | 1.30892 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 21.1726 | 0.706145 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 7.27918 | 0.242505 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 7.19425 | 0.239410 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 1.09305 | 0.0363344 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 45.3701 | 1.50649 | 0.753245 | − | 0.657740i | \(-0.228487\pi\) | ||||
0.753245 | + | 0.657740i | \(0.228487\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −34.0913 | −1.13074 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −14.3507 | −0.475461 | −0.237730 | − | 0.971331i | \(-0.576404\pi\) | ||||
−0.237730 | + | 0.971331i | \(0.576404\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −3.86219 | −0.127820 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 0.307152 | 0.0101541 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −46.6668 | −1.54107 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −16.2392 | −0.535682 | −0.267841 | − | 0.963463i | \(-0.586310\pi\) | ||||
−0.267841 | + | 0.963463i | \(0.586310\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 25.1761 | 0.829580 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 74.8704 | 2.46439 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −37.0987 | −1.21980 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 19.5225 | 0.641203 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 5.90381 | 0.193698 | 0.0968488 | − | 0.995299i | \(-0.469124\pi\) | ||||
0.0968488 | + | 0.995299i | \(0.469124\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 5.23141 | 0.171453 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −19.3450 | −0.633328 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 0.171049 | 0.00559389 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 30.1527 | 0.985045 | 0.492522 | − | 0.870300i | \(-0.336075\pi\) | ||||
0.492522 | + | 0.870300i | \(0.336075\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −18.2901 | −0.596874 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 28.5490 | 0.930671 | 0.465335 | − | 0.885134i | \(-0.345934\pi\) | ||||
0.465335 | + | 0.885134i | \(0.345934\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 69.1679 | 2.25242 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0.434857 | 0.0141459 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −9.95204 | −0.323398 | −0.161699 | − | 0.986840i | \(-0.551697\pi\) | ||||
−0.161699 | + | 0.986840i | \(0.551697\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −80.6375 | −2.61761 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −7.86556 | −0.255058 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −2.76818 | −0.0896701 | −0.0448351 | − | 0.998994i | \(-0.514276\pi\) | ||||
−0.0448351 | + | 0.998994i | \(0.514276\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −0.428206 | −0.0138564 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 5.07852 | 0.164165 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −10.4672 | −0.338002 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −4.48368 | −0.144635 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −1.50106 | −0.0483710 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 0.619223 | 0.0199335 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 50.0595 | 1.60980 | 0.804902 | − | 0.593408i | \(-0.202218\pi\) | ||||
0.804902 | + | 0.593408i | \(0.202218\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 5.98073 | 0.192129 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −14.7579 | −0.473603 | −0.236801 | − | 0.971558i | \(-0.576099\pi\) | ||||
−0.236801 | + | 0.971558i | \(0.576099\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −40.5812 | −1.30097 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −24.3240 | −0.778991 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −14.0606 | −0.449838 | −0.224919 | − | 0.974378i | \(-0.572212\pi\) | ||||
−0.224919 | + | 0.974378i | \(0.572212\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −7.00968 | −0.224030 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 27.6540 | 0.882924 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −3.20900 | −0.102351 | −0.0511756 | − | 0.998690i | \(-0.516297\pi\) | ||||
−0.0511756 | + | 0.998690i | \(0.516297\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 0.363393 | 0.0115787 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −6.49417 | −0.206712 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −29.1718 | −0.927608 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 32.5165 | 1.03292 | 0.516460 | − | 0.856311i | \(-0.327250\pi\) | ||||
0.516460 | + | 0.856311i | \(0.327250\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 24.9254 | 0.790983 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −0.885835 | −0.0280828 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −57.4250 | −1.81867 | −0.909333 | − | 0.416069i | \(-0.863408\pi\) | ||||
−0.909333 | + | 0.416069i | \(0.863408\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 35.5447 | 1.12459 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 8032.2.a.g.1.13 | ✓ | 30 | |
4.3 | odd | 2 | 8032.2.a.j.1.18 | yes | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
8032.2.a.g.1.13 | ✓ | 30 | 1.1 | even | 1 | trivial | |
8032.2.a.j.1.18 | yes | 30 | 4.3 | odd | 2 |