Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [6036,2,Mod(1,6036)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(6036, 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("6036.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 6036 = 2^{2} \cdot 3 \cdot 503 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6036.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: | \(48.1977026600\) |
Analytic rank: | \(0\) |
Dimension: | \(26\) |
Twist minimal: | yes |
Fricke sign: | \(-1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.16 | ||
Character | \(\chi\) | \(=\) | 6036.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −1.00000 | −0.577350 | ||||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 1.62125 | 0.725045 | 0.362522 | − | 0.931975i | \(-0.381916\pi\) | ||||
0.362522 | + | 0.931975i | \(0.381916\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 5.08723 | 1.92279 | 0.961397 | − | 0.275165i | \(-0.0887326\pi\) | ||||
0.961397 | + | 0.275165i | \(0.0887326\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 1.00000 | 0.333333 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −4.78702 | −1.44334 | −0.721671 | − | 0.692236i | \(-0.756626\pi\) | ||||
−0.721671 | + | 0.692236i | \(0.756626\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 3.75038 | 1.04017 | 0.520084 | − | 0.854115i | \(-0.325901\pi\) | ||||
0.520084 | + | 0.854115i | \(0.325901\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −1.62125 | −0.418605 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 8.05516 | 1.95366 | 0.976832 | − | 0.214009i | \(-0.0686520\pi\) | ||||
0.976832 | + | 0.214009i | \(0.0686520\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.54548 | 0.583972 | 0.291986 | − | 0.956423i | \(-0.405684\pi\) | ||||
0.291986 | + | 0.956423i | \(0.405684\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −5.08723 | −1.11013 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −6.47688 | −1.35052 | −0.675261 | − | 0.737579i | \(-0.735969\pi\) | ||||
−0.675261 | + | 0.737579i | \(0.735969\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −2.37155 | −0.474310 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −1.00000 | −0.192450 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 1.84482 | 0.342574 | 0.171287 | − | 0.985221i | \(-0.445207\pi\) | ||||
0.171287 | + | 0.985221i | \(0.445207\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 11.0732 | 1.98881 | 0.994403 | − | 0.105657i | \(-0.0336945\pi\) | ||||
0.994403 | + | 0.105657i | \(0.0336945\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 4.78702 | 0.833314 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 8.24767 | 1.39411 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −2.26721 | −0.372727 | −0.186364 | − | 0.982481i | \(-0.559670\pi\) | ||||
−0.186364 | + | 0.982481i | \(0.559670\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −3.75038 | −0.600541 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 3.95793 | 0.618126 | 0.309063 | − | 0.951042i | \(-0.399985\pi\) | ||||
0.309063 | + | 0.951042i | \(0.399985\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −9.87920 | −1.50656 | −0.753282 | − | 0.657698i | \(-0.771530\pi\) | ||||
−0.753282 | + | 0.657698i | \(0.771530\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 1.62125 | 0.241682 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −1.11380 | −0.162464 | −0.0812320 | − | 0.996695i | \(-0.525885\pi\) | ||||
−0.0812320 | + | 0.996695i | \(0.525885\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 18.8800 | 2.69714 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −8.05516 | −1.12795 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 5.65830 | 0.777228 | 0.388614 | − | 0.921401i | \(-0.372954\pi\) | ||||
0.388614 | + | 0.921401i | \(0.372954\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −7.76096 | −1.04649 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −2.54548 | −0.337156 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −9.39418 | −1.22302 | −0.611509 | − | 0.791237i | \(-0.709437\pi\) | ||||
−0.611509 | + | 0.791237i | \(0.709437\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 4.19568 | 0.537201 | 0.268601 | − | 0.963252i | \(-0.413439\pi\) | ||||
0.268601 | + | 0.963252i | \(0.413439\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 5.08723 | 0.640931 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 6.08030 | 0.754168 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0.706924 | 0.0863645 | 0.0431822 | − | 0.999067i | \(-0.486250\pi\) | ||||
0.0431822 | + | 0.999067i | \(0.486250\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 6.47688 | 0.779724 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 14.2100 | 1.68642 | 0.843210 | − | 0.537585i | \(-0.180663\pi\) | ||||
0.843210 | + | 0.537585i | \(0.180663\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 16.1734 | 1.89295 | 0.946476 | − | 0.322775i | \(-0.104616\pi\) | ||||
0.946476 | + | 0.322775i | \(0.104616\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 2.37155 | 0.273843 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −24.3527 | −2.77525 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 2.99763 | 0.337260 | 0.168630 | − | 0.985679i | \(-0.446066\pi\) | ||||
0.168630 | + | 0.985679i | \(0.446066\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −11.2872 | −1.23893 | −0.619465 | − | 0.785024i | \(-0.712650\pi\) | ||||
−0.619465 | + | 0.785024i | \(0.712650\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 13.0594 | 1.41649 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −1.84482 | −0.197785 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −5.82489 | −0.617437 | −0.308719 | − | 0.951153i | \(-0.599900\pi\) | ||||
−0.308719 | + | 0.951153i | \(0.599900\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 19.0790 | 2.00003 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −11.0732 | −1.14824 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 4.12685 | 0.423406 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −8.69438 | −0.882781 | −0.441391 | − | 0.897315i | \(-0.645515\pi\) | ||||
−0.441391 | + | 0.897315i | \(0.645515\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −4.78702 | −0.481114 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −7.46387 | −0.742683 | −0.371342 | − | 0.928496i | \(-0.621102\pi\) | ||||
−0.371342 | + | 0.928496i | \(0.621102\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −4.05463 | −0.399515 | −0.199757 | − | 0.979845i | \(-0.564015\pi\) | ||||
−0.199757 | + | 0.979845i | \(0.564015\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −8.24767 | −0.804891 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 8.22324 | 0.794971 | 0.397485 | − | 0.917608i | \(-0.369883\pi\) | ||||
0.397485 | + | 0.917608i | \(0.369883\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −4.91908 | −0.471162 | −0.235581 | − | 0.971855i | \(-0.575699\pi\) | ||||
−0.235581 | + | 0.971855i | \(0.575699\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 2.26721 | 0.215194 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −10.3271 | −0.971495 | −0.485747 | − | 0.874099i | \(-0.661453\pi\) | ||||
−0.485747 | + | 0.874099i | \(0.661453\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −10.5006 | −0.979189 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 3.75038 | 0.346723 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 40.9785 | 3.75649 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 11.9156 | 1.08324 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −3.95793 | −0.356875 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −11.9511 | −1.06894 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 12.1345 | 1.07676 | 0.538379 | − | 0.842703i | \(-0.319037\pi\) | ||||
0.538379 | + | 0.842703i | \(0.319037\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 9.87920 | 0.869815 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −8.79470 | −0.768396 | −0.384198 | − | 0.923251i | \(-0.625522\pi\) | ||||
−0.384198 | + | 0.923251i | \(0.625522\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 12.9494 | 1.12286 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −1.62125 | −0.139535 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 3.83330 | 0.327501 | 0.163750 | − | 0.986502i | \(-0.447641\pi\) | ||||
0.163750 | + | 0.986502i | \(0.447641\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 1.81069 | 0.153580 | 0.0767902 | − | 0.997047i | \(-0.475533\pi\) | ||||
0.0767902 | + | 0.997047i | \(0.475533\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 1.11380 | 0.0937986 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −17.9531 | −1.50132 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 2.99091 | 0.248382 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −18.8800 | −1.55719 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −19.9656 | −1.63564 | −0.817822 | − | 0.575472i | \(-0.804819\pi\) | ||||
−0.817822 | + | 0.575472i | \(0.804819\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −12.5577 | −1.02193 | −0.510966 | − | 0.859601i | \(-0.670712\pi\) | ||||
−0.510966 | + | 0.859601i | \(0.670712\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 8.05516 | 0.651221 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 17.9524 | 1.44197 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 24.4197 | 1.94890 | 0.974452 | − | 0.224597i | \(-0.0721066\pi\) | ||||
0.974452 | + | 0.224597i | \(0.0721066\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −5.65830 | −0.448733 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −32.9494 | −2.59678 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 1.07379 | 0.0841057 | 0.0420528 | − | 0.999115i | \(-0.486610\pi\) | ||||
0.0420528 | + | 0.999115i | \(0.486610\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 7.76096 | 0.604190 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −7.25268 | −0.561230 | −0.280615 | − | 0.959820i | \(-0.590538\pi\) | ||||
−0.280615 | + | 0.959820i | \(0.590538\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1.06533 | 0.0819485 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 2.54548 | 0.194657 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 10.7486 | 0.817197 | 0.408599 | − | 0.912714i | \(-0.366018\pi\) | ||||
0.408599 | + | 0.912714i | \(0.366018\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −12.0646 | −0.912001 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 9.39418 | 0.706110 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −5.28959 | −0.395363 | −0.197681 | − | 0.980266i | \(-0.563341\pi\) | ||||
−0.197681 | + | 0.980266i | \(0.563341\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −7.10431 | −0.528059 | −0.264030 | − | 0.964515i | \(-0.585052\pi\) | ||||
−0.264030 | + | 0.964515i | \(0.585052\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −4.19568 | −0.310153 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −3.67571 | −0.270244 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −38.5603 | −2.81981 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −5.08723 | −0.370042 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 16.2208 | 1.17369 | 0.586846 | − | 0.809698i | \(-0.300369\pi\) | ||||
0.586846 | + | 0.809698i | \(0.300369\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −15.9161 | −1.14567 | −0.572834 | − | 0.819671i | \(-0.694156\pi\) | ||||
−0.572834 | + | 0.819671i | \(0.694156\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −6.08030 | −0.435419 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 6.48555 | 0.462077 | 0.231038 | − | 0.972945i | \(-0.425788\pi\) | ||||
0.231038 | + | 0.972945i | \(0.425788\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 14.1090 | 1.00016 | 0.500081 | − | 0.865979i | \(-0.333304\pi\) | ||||
0.500081 | + | 0.865979i | \(0.333304\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −0.706924 | −0.0498625 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 9.38503 | 0.658700 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 6.41680 | 0.448169 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −6.47688 | −0.450174 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −12.1853 | −0.842872 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 3.02938 | 0.208551 | 0.104276 | − | 0.994548i | \(-0.466748\pi\) | ||||
0.104276 | + | 0.994548i | \(0.466748\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −14.2100 | −0.973655 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −16.0166 | −1.09233 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 56.3320 | 3.82406 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −16.1734 | −1.09290 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 30.2099 | 2.03214 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −18.1230 | −1.21360 | −0.606801 | − | 0.794853i | \(-0.707548\pi\) | ||||
−0.606801 | + | 0.794853i | \(0.707548\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −2.37155 | −0.158103 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 7.36207 | 0.488638 | 0.244319 | − | 0.969695i | \(-0.421436\pi\) | ||||
0.244319 | + | 0.969695i | \(0.421436\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −28.8730 | −1.90798 | −0.953990 | − | 0.299839i | \(-0.903067\pi\) | ||||
−0.953990 | + | 0.299839i | \(0.903067\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 24.3527 | 1.60229 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 22.1642 | 1.45202 | 0.726011 | − | 0.687683i | \(-0.241372\pi\) | ||||
0.726011 | + | 0.687683i | \(0.241372\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −1.80574 | −0.117794 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −2.99763 | −0.194717 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −8.28176 | −0.535702 | −0.267851 | − | 0.963460i | \(-0.586314\pi\) | ||||
−0.267851 | + | 0.963460i | \(0.586314\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 1.60328 | 0.103277 | 0.0516383 | − | 0.998666i | \(-0.483556\pi\) | ||||
0.0516383 | + | 0.998666i | \(0.483556\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −1.00000 | −0.0641500 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 30.6091 | 1.95554 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 9.54649 | 0.607429 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 11.2872 | 0.715296 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 28.7613 | 1.81540 | 0.907698 | − | 0.419623i | \(-0.137838\pi\) | ||||
0.907698 | + | 0.419623i | \(0.137838\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 31.0050 | 1.94927 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −13.0594 | −0.817813 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 14.8466 | 0.926104 | 0.463052 | − | 0.886331i | \(-0.346754\pi\) | ||||
0.463052 | + | 0.886331i | \(0.346754\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −11.5338 | −0.716677 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 1.84482 | 0.114191 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −12.6492 | −0.779982 | −0.389991 | − | 0.920819i | \(-0.627522\pi\) | ||||
−0.389991 | + | 0.920819i | \(0.627522\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 9.17352 | 0.563525 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 5.82489 | 0.356478 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 12.5501 | 0.765194 | 0.382597 | − | 0.923915i | \(-0.375030\pi\) | ||||
0.382597 | + | 0.923915i | \(0.375030\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −23.0080 | −1.39764 | −0.698818 | − | 0.715299i | \(-0.746290\pi\) | ||||
−0.698818 | + | 0.715299i | \(0.746290\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −19.0790 | −1.15472 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 11.3527 | 0.684592 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 20.6993 | 1.24370 | 0.621849 | − | 0.783137i | \(-0.286382\pi\) | ||||
0.621849 | + | 0.783137i | \(0.286382\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 11.0732 | 0.662935 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −30.9147 | −1.84422 | −0.922110 | − | 0.386929i | \(-0.873536\pi\) | ||||
−0.922110 | + | 0.386929i | \(0.873536\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −15.7644 | −0.937097 | −0.468548 | − | 0.883438i | \(-0.655223\pi\) | ||||
−0.468548 | + | 0.883438i | \(0.655223\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −4.12685 | −0.244453 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 20.1349 | 1.18853 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 47.8856 | 2.81680 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 8.69438 | 0.509674 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −9.59637 | −0.560626 | −0.280313 | − | 0.959909i | \(-0.590438\pi\) | ||||
−0.280313 | + | 0.959909i | \(0.590438\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −15.2303 | −0.886743 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 4.78702 | 0.277771 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −24.2907 | −1.40477 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −50.2578 | −2.89681 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 7.46387 | 0.428788 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 6.80224 | 0.389495 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 20.3194 | 1.15969 | 0.579844 | − | 0.814727i | \(-0.303113\pi\) | ||||
0.579844 | + | 0.814727i | \(0.303113\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 4.05463 | 0.230660 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −21.7343 | −1.23244 | −0.616218 | − | 0.787575i | \(-0.711336\pi\) | ||||
−0.616218 | + | 0.787575i | \(0.711336\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −10.0035 | −0.565432 | −0.282716 | − | 0.959204i | \(-0.591235\pi\) | ||||
−0.282716 | + | 0.959204i | \(0.591235\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 8.24767 | 0.464704 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 4.74953 | 0.266760 | 0.133380 | − | 0.991065i | \(-0.457417\pi\) | ||||
0.133380 | + | 0.991065i | \(0.457417\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −8.83120 | −0.494452 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −8.22324 | −0.458977 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 20.5042 | 1.14088 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −8.89421 | −0.493362 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 4.91908 | 0.272026 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −5.66614 | −0.312385 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −5.77266 | −0.317294 | −0.158647 | − | 0.987335i | \(-0.550713\pi\) | ||||
−0.158647 | + | 0.987335i | \(0.550713\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −2.26721 | −0.124242 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 1.14610 | 0.0626181 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 18.3300 | 0.998496 | 0.499248 | − | 0.866459i | \(-0.333610\pi\) | ||||
0.499248 | + | 0.866459i | \(0.333610\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 10.3271 | 0.560893 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −53.0077 | −2.87053 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 60.4361 | 3.26324 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 10.5006 | 0.565335 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −25.3602 | −1.36140 | −0.680702 | − | 0.732560i | \(-0.738325\pi\) | ||||
−0.680702 | + | 0.732560i | \(0.738325\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −7.44859 | −0.398714 | −0.199357 | − | 0.979927i | \(-0.563885\pi\) | ||||
−0.199357 | + | 0.979927i | \(0.563885\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −3.75038 | −0.200180 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −20.2269 | −1.07657 | −0.538284 | − | 0.842764i | \(-0.680927\pi\) | ||||
−0.538284 | + | 0.842764i | \(0.680927\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 23.0380 | 1.22273 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −40.9785 | −2.16881 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 4.20284 | 0.221818 | 0.110909 | − | 0.993831i | \(-0.464624\pi\) | ||||
0.110909 | + | 0.993831i | \(0.464624\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −12.5206 | −0.658977 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −11.9156 | −0.625407 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 26.2211 | 1.37247 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 13.7248 | 0.716430 | 0.358215 | − | 0.933639i | \(-0.383386\pi\) | ||||
0.358215 | + | 0.933639i | \(0.383386\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 3.95793 | 0.206042 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 28.7851 | 1.49445 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 36.3665 | 1.88299 | 0.941493 | − | 0.337032i | \(-0.109423\pi\) | ||||
0.941493 | + | 0.337032i | \(0.109423\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 11.9511 | 0.617153 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 6.91877 | 0.356335 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 16.9142 | 0.868822 | 0.434411 | − | 0.900715i | \(-0.356957\pi\) | ||||
0.434411 | + | 0.900715i | \(0.356957\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −12.1345 | −0.621667 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 9.23564 | 0.471919 | 0.235960 | − | 0.971763i | \(-0.424177\pi\) | ||||
0.235960 | + | 0.971763i | \(0.424177\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −39.4818 | −2.01218 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −9.87920 | −0.502188 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 20.0808 | 1.01814 | 0.509069 | − | 0.860726i | \(-0.329990\pi\) | ||||
0.509069 | + | 0.860726i | \(0.329990\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −52.1723 | −2.63847 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 8.79470 | 0.443634 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 4.85991 | 0.244529 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 8.03548 | 0.403289 | 0.201645 | − | 0.979459i | \(-0.435371\pi\) | ||||
0.201645 | + | 0.979459i | \(0.435371\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −12.9494 | −0.648282 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −20.6983 | −1.03362 | −0.516812 | − | 0.856099i | \(-0.672881\pi\) | ||||
−0.516812 | + | 0.856099i | \(0.672881\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 41.5287 | 2.06869 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 1.62125 | 0.0805605 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 10.8532 | 0.537973 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 24.7004 | 1.22136 | 0.610679 | − | 0.791878i | \(-0.290897\pi\) | ||||
0.610679 | + | 0.791878i | \(0.290897\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −3.83330 | −0.189083 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −47.7904 | −2.35161 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −18.2993 | −0.898279 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −1.81069 | −0.0886697 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 25.5548 | 1.24843 | 0.624217 | − | 0.781251i | \(-0.285418\pi\) | ||||
0.624217 | + | 0.781251i | \(0.285418\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −12.2638 | −0.597701 | −0.298850 | − | 0.954300i | \(-0.596603\pi\) | ||||
−0.298850 | + | 0.954300i | \(0.596603\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −1.11380 | −0.0541546 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −19.1032 | −0.926643 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 21.3444 | 1.03293 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 17.9531 | 0.866786 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 16.4921 | 0.794398 | 0.397199 | − | 0.917733i | \(-0.369982\pi\) | ||||
0.397199 | + | 0.917733i | \(0.369982\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −20.3288 | −0.976939 | −0.488469 | − | 0.872581i | \(-0.662445\pi\) | ||||
−0.488469 | + | 0.872581i | \(0.662445\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −2.99091 | −0.143403 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −16.4867 | −0.788667 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 23.8416 | 1.13790 | 0.568949 | − | 0.822373i | \(-0.307350\pi\) | ||||
0.568949 | + | 0.822373i | \(0.307350\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 18.8800 | 0.899045 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −17.8300 | −0.847131 | −0.423565 | − | 0.905865i | \(-0.639222\pi\) | ||||
−0.423565 | + | 0.905865i | \(0.639222\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −9.44360 | −0.447670 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 19.9656 | 0.944339 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 19.1086 | 0.901788 | 0.450894 | − | 0.892577i | \(-0.351105\pi\) | ||||
0.450894 | + | 0.892577i | \(0.351105\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −18.9467 | −0.892167 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 12.5577 | 0.590012 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 30.9319 | 1.45011 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 27.9632 | 1.30806 | 0.654031 | − | 0.756467i | \(-0.273076\pi\) | ||||
0.654031 | + | 0.756467i | \(0.273076\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −8.05516 | −0.375983 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 6.83764 | 0.318461 | 0.159230 | − | 0.987241i | \(-0.449099\pi\) | ||||
0.159230 | + | 0.987241i | \(0.449099\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −29.5091 | −1.37140 | −0.685702 | − | 0.727882i | \(-0.740505\pi\) | ||||
−0.685702 | + | 0.727882i | \(0.740505\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −17.9524 | −0.832523 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 24.3776 | 1.12806 | 0.564030 | − | 0.825754i | \(-0.309250\pi\) | ||||
0.564030 | + | 0.825754i | \(0.309250\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 3.59629 | 0.166061 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −24.4197 | −1.12520 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 47.2920 | 2.17449 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −6.03673 | −0.276984 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 5.65830 | 0.259076 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 15.5820 | 0.711960 | 0.355980 | − | 0.934494i | \(-0.384147\pi\) | ||||
0.355980 | + | 0.934494i | \(0.384147\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −8.50289 | −0.387699 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 32.9494 | 1.49925 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −14.0958 | −0.640056 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −29.1356 | −1.32026 | −0.660131 | − | 0.751151i | \(-0.729499\pi\) | ||||
−0.660131 | + | 0.751151i | \(0.729499\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −1.07379 | −0.0485584 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 15.3303 | 0.691849 | 0.345924 | − | 0.938262i | \(-0.387565\pi\) | ||||
0.345924 | + | 0.938262i | \(0.387565\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 14.8603 | 0.669275 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −7.76096 | −0.348829 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 72.2897 | 3.24264 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −20.9521 | −0.937947 | −0.468974 | − | 0.883212i | \(-0.655376\pi\) | ||||
−0.468974 | + | 0.883212i | \(0.655376\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 7.25268 | 0.324026 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −1.00000 | −0.0445878 | ||||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −12.1008 | −0.538478 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −1.06533 | −0.0473130 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 21.6036 | 0.957564 | 0.478782 | − | 0.877934i | \(-0.341078\pi\) | ||||
0.478782 | + | 0.877934i | \(0.341078\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 82.2778 | 3.63975 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −2.54548 | −0.112385 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −6.57357 | −0.289666 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 5.33177 | 0.234491 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −10.7486 | −0.471809 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 34.5773 | 1.51486 | 0.757430 | − | 0.652916i | \(-0.226455\pi\) | ||||
0.757430 | + | 0.652916i | \(0.226455\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 16.6517 | 0.728130 | 0.364065 | − | 0.931374i | \(-0.381389\pi\) | ||||
0.364065 | + | 0.931374i | \(0.381389\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 12.0646 | 0.526544 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 89.1964 | 3.88546 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 18.9499 | 0.823910 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −9.39418 | −0.407673 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 14.8437 | 0.642954 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 13.3319 | 0.576389 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 5.28959 | 0.228263 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −90.3788 | −3.89289 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −12.2237 | −0.525536 | −0.262768 | − | 0.964859i | \(-0.584635\pi\) | ||||
−0.262768 | + | 0.964859i | \(0.584635\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 7.10431 | 0.304875 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −7.97505 | −0.341614 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 42.3294 | 1.80988 | 0.904938 | − | 0.425544i | \(-0.139917\pi\) | ||||
0.904938 | + | 0.425544i | \(0.139917\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 4.19568 | 0.179067 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 4.69594 | 0.200054 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 15.2497 | 0.648482 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 3.67571 | 0.156025 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 17.4486 | 0.739321 | 0.369661 | − | 0.929167i | \(-0.379474\pi\) | ||||
0.369661 | + | 0.929167i | \(0.379474\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −37.0507 | −1.56708 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 38.5603 | 1.62802 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −36.4161 | −1.53475 | −0.767377 | − | 0.641196i | \(-0.778438\pi\) | ||||
−0.767377 | + | 0.641196i | \(0.778438\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −16.7429 | −0.704377 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 5.08723 | 0.213644 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 30.2694 | 1.26896 | 0.634481 | − | 0.772939i | \(-0.281214\pi\) | ||||
0.634481 | + | 0.772939i | \(0.281214\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 18.3774 | 0.769068 | 0.384534 | − | 0.923111i | \(-0.374362\pi\) | ||||
0.384534 | + | 0.923111i | \(0.374362\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −16.2208 | −0.677632 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 15.3602 | 0.640567 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −11.9921 | −0.499236 | −0.249618 | − | 0.968344i | \(-0.580305\pi\) | ||||
−0.249618 | + | 0.968344i | \(0.580305\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 15.9161 | 0.661452 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −57.4206 | −2.38221 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −27.0864 | −1.12181 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 6.08030 | 0.251389 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −0.765014 | −0.0315755 | −0.0157877 | − | 0.999875i | \(-0.505026\pi\) | ||||
−0.0157877 | + | 0.999875i | \(0.505026\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 28.1866 | 1.16141 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −6.48555 | −0.266780 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −19.5386 | −0.802353 | −0.401176 | − | 0.916001i | \(-0.631399\pi\) | ||||
−0.401176 | + | 0.916001i | \(0.631399\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 66.4363 | 2.72362 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −14.1090 | −0.577443 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −12.3808 | −0.505864 | −0.252932 | − | 0.967484i | \(-0.581395\pi\) | ||||
−0.252932 | + | 0.967484i | \(0.581395\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 39.1993 | 1.59897 | 0.799487 | − | 0.600683i | \(-0.205105\pi\) | ||||
0.799487 | + | 0.600683i | \(0.205105\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0.706924 | 0.0287882 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 19.3182 | 0.785395 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 4.83993 | 0.196447 | 0.0982234 | − | 0.995164i | \(-0.468684\pi\) | ||||
0.0982234 | + | 0.995164i | \(0.468684\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −9.38503 | −0.380301 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −4.17716 | −0.168990 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −6.04924 | −0.244327 | −0.122163 | − | 0.992510i | \(-0.538983\pi\) | ||||
−0.122163 | + | 0.992510i | \(0.538983\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −6.41680 | −0.258750 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 32.0507 | 1.29031 | 0.645156 | − | 0.764051i | \(-0.276792\pi\) | ||||
0.645156 | + | 0.764051i | \(0.276792\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −10.8170 | −0.434772 | −0.217386 | − | 0.976086i | \(-0.569753\pi\) | ||||
−0.217386 | + | 0.976086i | \(0.569753\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 6.47688 | 0.259908 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −29.6326 | −1.18720 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −7.51799 | −0.300720 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 12.1853 | 0.486632 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −18.2627 | −0.728183 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −5.54692 | −0.220819 | −0.110410 | − | 0.993886i | \(-0.535216\pi\) | ||||
−0.110410 | + | 0.993886i | \(0.535216\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −3.02938 | −0.120407 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 19.6730 | 0.780698 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 70.8069 | 2.80547 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 14.2100 | 0.562140 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 14.4980 | 0.572635 | 0.286318 | − | 0.958135i | \(-0.407569\pi\) | ||||
0.286318 | + | 0.958135i | \(0.407569\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 34.5051 | 1.36075 | 0.680373 | − | 0.732866i | \(-0.261818\pi\) | ||||
0.680373 | + | 0.732866i | \(0.261818\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 16.0166 | 0.630655 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 0.260969 | 0.0102597 | 0.00512987 | − | 0.999987i | \(-0.498367\pi\) | ||||
0.00512987 | + | 0.999987i | \(0.498367\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 44.9702 | 1.76523 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −56.3320 | −2.20782 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −6.80054 | −0.266126 | −0.133063 | − | 0.991108i | \(-0.542481\pi\) | ||||
−0.133063 | + | 0.991108i | \(0.542481\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −14.2584 | −0.557121 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 16.1734 | 0.630984 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −32.0742 | −1.24943 | −0.624717 | − | 0.780852i | \(-0.714786\pi\) | ||||
−0.624717 | + | 0.780852i | \(0.714786\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −2.65863 | −0.103409 | −0.0517043 | − | 0.998662i | \(-0.516465\pi\) | ||||
−0.0517043 | + | 0.998662i | \(0.516465\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −30.2099 | −1.17326 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 20.9943 | 0.814122 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −11.9487 | −0.462654 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 18.1230 | 0.700674 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −20.0848 | −0.775365 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −12.8856 | −0.496704 | −0.248352 | − | 0.968670i | \(-0.579889\pi\) | ||||
−0.248352 | + | 0.968670i | \(0.579889\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 2.37155 | 0.0912811 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −8.88973 | −0.341660 | −0.170830 | − | 0.985301i | \(-0.554645\pi\) | ||||
−0.170830 | + | 0.985301i | \(0.554645\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −44.2304 | −1.69741 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −7.36207 | −0.282115 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 34.8155 | 1.33218 | 0.666089 | − | 0.745872i | \(-0.267967\pi\) | ||||
0.666089 | + | 0.745872i | \(0.267967\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 6.21473 | 0.237453 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 28.8730 | 1.10157 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 21.2208 | 0.808447 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 1.97469 | 0.0751209 | 0.0375605 | − | 0.999294i | \(-0.488041\pi\) | ||||
0.0375605 | + | 0.999294i | \(0.488041\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −24.3527 | −0.925083 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 2.93557 | 0.111353 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 31.8818 | 1.20761 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −22.1642 | −0.838326 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 13.5969 | 0.513549 | 0.256774 | − | 0.966471i | \(-0.417340\pi\) | ||||
0.256774 | + | 0.966471i | \(0.417340\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −5.77113 | −0.217662 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 1.80574 | 0.0680082 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −37.9705 | −1.42803 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −36.6935 | −1.37805 | −0.689027 | − | 0.724735i | \(-0.741962\pi\) | ||||
−0.689027 | + | 0.724735i | \(0.741962\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 2.99763 | 0.112420 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −71.7198 | −2.68593 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −29.1065 | −1.08852 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 8.28176 | 0.309288 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −12.7127 | −0.474104 | −0.237052 | − | 0.971497i | \(-0.576181\pi\) | ||||
−0.237052 | + | 0.971497i | \(0.576181\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −20.6269 | −0.768184 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −1.60328 | −0.0596267 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −4.37508 | −0.162487 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −21.6489 | −0.802914 | −0.401457 | − | 0.915878i | \(-0.631496\pi\) | ||||
−0.401457 | + | 0.915878i | \(0.631496\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −79.5785 | −2.94332 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 3.39863 | 0.125531 | 0.0627657 | − | 0.998028i | \(-0.480008\pi\) | ||||
0.0627657 | + | 0.998028i | \(0.480008\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −30.6091 | −1.12903 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −3.38406 | −0.124653 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −18.8891 | −0.694848 | −0.347424 | − | 0.937708i | \(-0.612944\pi\) | ||||
−0.347424 | + | 0.937708i | \(0.612944\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −9.54649 | −0.350699 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −31.3785 | −1.15116 | −0.575582 | − | 0.817744i | \(-0.695224\pi\) | ||||
−0.575582 | + | 0.817744i | \(0.695224\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −32.3692 | −1.18591 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −11.2872 | −0.412977 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 41.8336 | 1.52857 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −12.2331 | −0.446393 | −0.223197 | − | 0.974773i | \(-0.571649\pi\) | ||||
−0.223197 | + | 0.974773i | \(0.571649\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −28.7613 | −1.04812 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −20.3592 | −0.740946 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −43.3208 | −1.57452 | −0.787261 | − | 0.616620i | \(-0.788502\pi\) | ||||
−0.787261 | + | 0.616620i | \(0.788502\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −31.0050 | −1.12541 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −12.9918 | −0.470951 | −0.235475 | − | 0.971880i | \(-0.575665\pi\) | ||||
−0.235475 | + | 0.971880i | \(0.575665\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −25.0245 | −0.905948 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 13.0594 | 0.472164 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −35.2317 | −1.27214 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −10.8066 | −0.389697 | −0.194848 | − | 0.980833i | \(-0.562421\pi\) | ||||
−0.194848 | + | 0.980833i | \(0.562421\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −14.8466 | −0.534687 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −42.1613 | −1.51643 | −0.758217 | − | 0.652002i | \(-0.773929\pi\) | ||||
−0.758217 | + | 0.652002i | \(0.773929\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −26.2607 | −0.943311 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 11.5338 | 0.413774 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 10.0748 | 0.360968 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −68.0237 | −2.43408 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −1.84482 | −0.0659285 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 39.5904 | 1.41304 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 42.5411 | 1.51643 | 0.758214 | − | 0.652006i | \(-0.226072\pi\) | ||||
0.758214 | + | 0.652006i | \(0.226072\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 12.6492 | 0.450323 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −52.5365 | −1.86798 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 15.7354 | 0.558779 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −9.17352 | −0.325351 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −19.3105 | −0.684011 | −0.342006 | − | 0.939698i | \(-0.611106\pi\) | ||||
−0.342006 | + | 0.939698i | \(0.611106\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −8.97181 | −0.317400 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −5.82489 | −0.205812 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −77.4224 | −2.73218 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −53.4192 | −1.88278 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −12.5501 | −0.441785 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 10.3817 | 0.365003 | 0.182501 | − | 0.983206i | \(-0.441581\pi\) | ||||
0.182501 | + | 0.983206i | \(0.441581\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −3.30087 | −0.115909 | −0.0579546 | − | 0.998319i | \(-0.518458\pi\) | ||||
−0.0579546 | + | 0.998319i | \(0.518458\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 23.0080 | 0.806926 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 1.74088 | 0.0609804 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −25.1473 | −0.879791 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 19.0790 | 0.666676 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 23.1377 | 0.807511 | 0.403755 | − | 0.914867i | \(-0.367705\pi\) | ||||
0.403755 | + | 0.914867i | \(0.367705\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −30.8167 | −1.07420 | −0.537102 | − | 0.843517i | \(-0.680481\pi\) | ||||
−0.537102 | + | 0.843517i | \(0.680481\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −11.3527 | −0.395249 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −42.7231 | −1.48563 | −0.742815 | − | 0.669497i | \(-0.766510\pi\) | ||||
−0.742815 | + | 0.669497i | \(0.766510\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 11.6954 | 0.406198 | 0.203099 | − | 0.979158i | \(-0.434899\pi\) | ||||
0.203099 | + | 0.979158i | \(0.434899\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −20.6993 | −0.718050 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 152.081 | 5.26930 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −11.7584 | −0.406916 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −11.0732 | −0.382746 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −31.7883 | −1.09745 | −0.548727 | − | 0.836002i | \(-0.684887\pi\) | ||||
−0.548727 | + | 0.836002i | \(0.684887\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −25.5966 | −0.882643 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 30.9147 | 1.06476 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 1.72717 | 0.0594163 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 60.6175 | 2.08284 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 15.7644 | 0.541033 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 14.6844 | 0.503376 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 1.86112 | 0.0637234 | 0.0318617 | − | 0.999492i | \(-0.489856\pi\) | ||||
0.0318617 | + | 0.999492i | \(0.489856\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 4.12685 | 0.141135 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −35.0269 | −1.19650 | −0.598249 | − | 0.801311i | \(-0.704136\pi\) | ||||
−0.598249 | + | 0.801311i | \(0.704136\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −47.9439 | −1.63582 | −0.817912 | − | 0.575344i | \(-0.804868\pi\) | ||||
−0.817912 | + | 0.575344i | \(0.804868\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −20.1349 | −0.686197 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −22.5634 | −0.768068 | −0.384034 | − | 0.923319i | \(-0.625466\pi\) | ||||
−0.384034 | + | 0.923319i | \(0.625466\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 17.4261 | 0.592505 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −47.8856 | −1.62628 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −14.3498 | −0.486782 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 2.65123 | 0.0898335 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −8.69438 | −0.294260 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −60.7982 | −2.05535 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 2.97906 | 0.100596 | 0.0502979 | − | 0.998734i | \(-0.483983\pi\) | ||||
0.0502979 | + | 0.998734i | \(0.483983\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 9.59637 | 0.323678 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −24.7033 | −0.832275 | −0.416138 | − | 0.909302i | \(-0.636617\pi\) | ||||
−0.416138 | + | 0.909302i | \(0.636617\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 22.0936 | 0.743510 | 0.371755 | − | 0.928331i | \(-0.378756\pi\) | ||||
0.371755 | + | 0.928331i | \(0.378756\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 15.2303 | 0.511961 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −7.00169 | −0.235094 | −0.117547 | − | 0.993067i | \(-0.537503\pi\) | ||||
−0.117547 | + | 0.993067i | \(0.537503\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 61.7308 | 2.07038 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −4.78702 | −0.160371 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −2.83514 | −0.0948744 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −8.57574 | −0.286655 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 24.2907 | 0.811044 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 20.4281 | 0.681314 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 45.5785 | 1.51844 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 50.2578 | 1.67247 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −11.5179 | −0.382867 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 16.0503 | 0.532943 | 0.266472 | − | 0.963843i | \(-0.414142\pi\) | ||||
0.266472 | + | 0.963843i | \(0.414142\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −7.46387 | −0.247561 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 8.69646 | 0.288127 | 0.144063 | − | 0.989568i | \(-0.453983\pi\) | ||||
0.144063 | + | 0.989568i | \(0.453983\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 54.0320 | 1.78820 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −6.80224 | −0.224875 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −44.7407 | −1.47747 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 24.0545 | 0.793484 | 0.396742 | − | 0.917930i | \(-0.370141\pi\) | ||||
0.396742 | + | 0.917930i | \(0.370141\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −20.3194 | −0.669547 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 53.2930 | 1.75416 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 5.37681 | 0.176788 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −4.05463 | −0.133172 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −2.25584 | −0.0740118 | −0.0370059 | − | 0.999315i | \(-0.511782\pi\) | ||||
−0.0370059 | + | 0.999315i | \(0.511782\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 48.0585 | 1.57505 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 21.7343 | 0.711548 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −62.5158 | −2.04448 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 5.56080 | 0.181663 | 0.0908317 | − | 0.995866i | \(-0.471047\pi\) | ||||
0.0908317 | + | 0.995866i | \(0.471047\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 10.0035 | 0.326452 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −42.0092 | −1.36946 | −0.684731 | − | 0.728796i | \(-0.740080\pi\) | ||||
−0.684731 | + | 0.728796i | \(0.740080\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −25.6351 | −0.834792 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −8.24767 | −0.268297 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −43.9687 | −1.42879 | −0.714395 | − | 0.699743i | \(-0.753298\pi\) | ||||
−0.714395 | + | 0.699743i | \(0.753298\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 60.6563 | 1.96899 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −4.74953 | −0.154014 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −16.8158 | −0.544718 | −0.272359 | − | 0.962196i | \(-0.587804\pi\) | ||||
−0.272359 | + | 0.962196i | \(0.587804\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 26.2979 | 0.850980 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 8.83120 | 0.285472 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 19.5009 | 0.629717 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 91.6157 | 2.95535 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 8.22324 | 0.264990 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −25.8040 | −0.830661 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −12.9469 | −0.416344 | −0.208172 | − | 0.978092i | \(-0.566751\pi\) | ||||
−0.208172 | + | 0.978092i | \(0.566751\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −20.5042 | −0.658690 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 22.0433 | 0.707403 | 0.353702 | − | 0.935358i | \(-0.384923\pi\) | ||||
0.353702 | + | 0.935358i | \(0.384923\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 9.21139 | 0.295304 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 8.89421 | 0.284843 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −9.91543 | −0.317223 | −0.158611 | − | 0.987341i | \(-0.550702\pi\) | ||||
−0.158611 | + | 0.987341i | \(0.550702\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 27.8839 | 0.891173 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −4.91908 | −0.157054 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 32.2011 | 1.02705 | 0.513527 | − | 0.858073i | \(-0.328338\pi\) | ||||
0.513527 | + | 0.858073i | \(0.328338\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 10.5147 | 0.335026 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 5.66614 | 0.180355 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 63.9863 | 2.03465 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 20.1212 | 0.639169 | 0.319585 | − | 0.947558i | \(-0.396457\pi\) | ||||
0.319585 | + | 0.947558i | \(0.396457\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 5.77266 | 0.183190 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 22.8742 | 0.725161 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −48.8248 | −1.54630 | −0.773148 | − | 0.634226i | \(-0.781319\pi\) | ||||
−0.773148 | + | 0.634226i | \(0.781319\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 2.26721 | 0.0717314 |
(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 | 6036.2.a.i.1.16 | ✓ | 26 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
6036.2.a.i.1.16 | ✓ | 26 | 1.1 | even | 1 | trivial |