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: | \(24\) |
Twist minimal: | yes |
Fricke sign: | \(-1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.17 | ||
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 | ||||||||
\(5\) | 2.44705 | 1.09435 | 0.547177 | − | 0.837017i | \(-0.315703\pi\) | ||||
0.547177 | + | 0.837017i | \(0.315703\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −3.28775 | −1.24265 | −0.621327 | − | 0.783552i | \(-0.713406\pi\) | ||||
−0.621327 | + | 0.783552i | \(0.713406\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 1.00000 | 0.333333 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 2.45869 | 0.741323 | 0.370661 | − | 0.928768i | \(-0.379131\pi\) | ||||
0.370661 | + | 0.928768i | \(0.379131\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 3.50225 | 0.971350 | 0.485675 | − | 0.874140i | \(-0.338574\pi\) | ||||
0.485675 | + | 0.874140i | \(0.338574\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 2.44705 | 0.631825 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 1.87555 | 0.454889 | 0.227444 | − | 0.973791i | \(-0.426963\pi\) | ||||
0.227444 | + | 0.973791i | \(0.426963\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −6.22829 | −1.42887 | −0.714434 | − | 0.699703i | \(-0.753316\pi\) | ||||
−0.714434 | + | 0.699703i | \(0.753316\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −3.28775 | −0.717446 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 2.41520 | 0.503604 | 0.251802 | − | 0.967779i | \(-0.418977\pi\) | ||||
0.251802 | + | 0.967779i | \(0.418977\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.988047 | 0.197609 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 1.00000 | 0.192450 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −8.78423 | −1.63119 | −0.815595 | − | 0.578623i | \(-0.803590\pi\) | ||||
−0.815595 | + | 0.578623i | \(0.803590\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.157121 | −0.0282197 | −0.0141099 | − | 0.999900i | \(-0.504491\pi\) | ||||
−0.0141099 | + | 0.999900i | \(0.504491\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 2.45869 | 0.428003 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −8.04529 | −1.35990 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 8.26847 | 1.35933 | 0.679664 | − | 0.733524i | \(-0.262126\pi\) | ||||
0.679664 | + | 0.733524i | \(0.262126\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 3.50225 | 0.560809 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 5.46119 | 0.852894 | 0.426447 | − | 0.904512i | \(-0.359765\pi\) | ||||
0.426447 | + | 0.904512i | \(0.359765\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 12.0118 | 1.83178 | 0.915888 | − | 0.401434i | \(-0.131488\pi\) | ||||
0.915888 | + | 0.401434i | \(0.131488\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 2.44705 | 0.364784 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 2.17244 | 0.316883 | 0.158441 | − | 0.987368i | \(-0.449353\pi\) | ||||
0.158441 | + | 0.987368i | \(0.449353\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 3.80931 | 0.544188 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 1.87555 | 0.262630 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 10.4904 | 1.44097 | 0.720486 | − | 0.693469i | \(-0.243919\pi\) | ||||
0.720486 | + | 0.693469i | \(0.243919\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 6.01653 | 0.811269 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −6.22829 | −0.824957 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −11.3992 | −1.48405 | −0.742027 | − | 0.670370i | \(-0.766135\pi\) | ||||
−0.742027 | + | 0.670370i | \(0.766135\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −5.27697 | −0.675647 | −0.337823 | − | 0.941210i | \(-0.609691\pi\) | ||||
−0.337823 | + | 0.941210i | \(0.609691\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −3.28775 | −0.414218 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 8.57018 | 1.06300 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 12.6870 | 1.54996 | 0.774980 | − | 0.631986i | \(-0.217760\pi\) | ||||
0.774980 | + | 0.631986i | \(0.217760\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 2.41520 | 0.290756 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 16.3594 | 1.94150 | 0.970752 | − | 0.240084i | \(-0.0771749\pi\) | ||||
0.970752 | + | 0.240084i | \(0.0771749\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 6.86626 | 0.803635 | 0.401818 | − | 0.915720i | \(-0.368379\pi\) | ||||
0.401818 | + | 0.915720i | \(0.368379\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0.988047 | 0.114090 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −8.08356 | −0.921208 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 7.84100 | 0.882181 | 0.441091 | − | 0.897463i | \(-0.354592\pi\) | ||||
0.441091 | + | 0.897463i | \(0.354592\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −11.3738 | −1.24844 | −0.624220 | − | 0.781249i | \(-0.714583\pi\) | ||||
−0.624220 | + | 0.781249i | \(0.714583\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 4.58957 | 0.497809 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −8.78423 | −0.941768 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 14.4989 | 1.53688 | 0.768439 | − | 0.639923i | \(-0.221034\pi\) | ||||
0.768439 | + | 0.639923i | \(0.221034\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −11.5145 | −1.20705 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −0.157121 | −0.0162927 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −15.2409 | −1.56369 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 13.2629 | 1.34664 | 0.673320 | − | 0.739351i | \(-0.264868\pi\) | ||||
0.673320 | + | 0.739351i | \(0.264868\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 2.45869 | 0.247108 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −11.9999 | −1.19403 | −0.597016 | − | 0.802229i | \(-0.703647\pi\) | ||||
−0.597016 | + | 0.802229i | \(0.703647\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −7.67378 | −0.756120 | −0.378060 | − | 0.925781i | \(-0.623409\pi\) | ||||
−0.378060 | + | 0.925781i | \(0.623409\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −8.04529 | −0.785140 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −13.4013 | −1.29555 | −0.647777 | − | 0.761830i | \(-0.724301\pi\) | ||||
−0.647777 | + | 0.761830i | \(0.724301\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 5.52986 | 0.529664 | 0.264832 | − | 0.964295i | \(-0.414683\pi\) | ||||
0.264832 | + | 0.964295i | \(0.414683\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 8.26847 | 0.784808 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −2.70531 | −0.254494 | −0.127247 | − | 0.991871i | \(-0.540614\pi\) | ||||
−0.127247 | + | 0.991871i | \(0.540614\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 5.91011 | 0.551121 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 3.50225 | 0.323783 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −6.16636 | −0.565269 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −4.95484 | −0.450440 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 5.46119 | 0.492419 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −9.81744 | −0.878099 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −7.45150 | −0.661214 | −0.330607 | − | 0.943769i | \(-0.607253\pi\) | ||||
−0.330607 | + | 0.943769i | \(0.607253\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 12.0118 | 1.05758 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 16.0072 | 1.39856 | 0.699278 | − | 0.714849i | \(-0.253505\pi\) | ||||
0.699278 | + | 0.714849i | \(0.253505\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 20.4771 | 1.77559 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 2.44705 | 0.210608 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 10.5635 | 0.902501 | 0.451250 | − | 0.892397i | \(-0.350978\pi\) | ||||
0.451250 | + | 0.892397i | \(0.350978\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −13.1827 | −1.11815 | −0.559073 | − | 0.829119i | \(-0.688843\pi\) | ||||
−0.559073 | + | 0.829119i | \(0.688843\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 2.17244 | 0.182952 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 8.61095 | 0.720084 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −21.4954 | −1.78510 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 3.80931 | 0.314187 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −3.95193 | −0.323755 | −0.161877 | − | 0.986811i | \(-0.551755\pi\) | ||||
−0.161877 | + | 0.986811i | \(0.551755\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −1.69850 | −0.138222 | −0.0691111 | − | 0.997609i | \(-0.522016\pi\) | ||||
−0.0691111 | + | 0.997609i | \(0.522016\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 1.87555 | 0.151630 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −0.384482 | −0.0308824 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 17.1677 | 1.37013 | 0.685065 | − | 0.728482i | \(-0.259774\pi\) | ||||
0.685065 | + | 0.728482i | \(0.259774\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 10.4904 | 0.831946 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −7.94058 | −0.625805 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −14.4212 | −1.12955 | −0.564777 | − | 0.825243i | \(-0.691038\pi\) | ||||
−0.564777 | + | 0.825243i | \(0.691038\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 6.01653 | 0.468387 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −0.953097 | −0.0737528 | −0.0368764 | − | 0.999320i | \(-0.511741\pi\) | ||||
−0.0368764 | + | 0.999320i | \(0.511741\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −0.734237 | −0.0564797 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −6.22829 | −0.476289 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −0.689872 | −0.0524500 | −0.0262250 | − | 0.999656i | \(-0.508349\pi\) | ||||
−0.0262250 | + | 0.999656i | \(0.508349\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −3.24845 | −0.245560 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −11.3992 | −0.856819 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −23.1631 | −1.73129 | −0.865644 | − | 0.500660i | \(-0.833091\pi\) | ||||
−0.865644 | + | 0.500660i | \(0.833091\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 20.8009 | 1.54612 | 0.773061 | − | 0.634332i | \(-0.218725\pi\) | ||||
0.773061 | + | 0.634332i | \(0.218725\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −5.27697 | −0.390085 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 20.2333 | 1.48758 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 4.61140 | 0.337219 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −3.28775 | −0.239149 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 1.18366 | 0.0856467 | 0.0428233 | − | 0.999083i | \(-0.486365\pi\) | ||||
0.0428233 | + | 0.999083i | \(0.486365\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 24.6980 | 1.77780 | 0.888902 | − | 0.458098i | \(-0.151469\pi\) | ||||
0.888902 | + | 0.458098i | \(0.151469\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 8.57018 | 0.613723 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −22.9253 | −1.63336 | −0.816678 | − | 0.577093i | \(-0.804187\pi\) | ||||
−0.816678 | + | 0.577093i | \(0.804187\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 5.39101 | 0.382159 | 0.191079 | − | 0.981575i | \(-0.438801\pi\) | ||||
0.191079 | + | 0.981575i | \(0.438801\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 12.6870 | 0.894870 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 28.8804 | 2.02700 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 13.3638 | 0.933368 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 2.41520 | 0.167868 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −15.3134 | −1.05925 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −10.5456 | −0.725987 | −0.362994 | − | 0.931792i | \(-0.618245\pi\) | ||||
−0.362994 | + | 0.931792i | \(0.618245\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 16.3594 | 1.12093 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 29.3934 | 2.00461 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0.516574 | 0.0350674 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 6.86626 | 0.463979 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 6.56866 | 0.441856 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 3.05644 | 0.204674 | 0.102337 | − | 0.994750i | \(-0.467368\pi\) | ||||
0.102337 | + | 0.994750i | \(0.467368\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0.988047 | 0.0658698 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 17.4491 | 1.15814 | 0.579068 | − | 0.815279i | \(-0.303416\pi\) | ||||
0.579068 | + | 0.815279i | \(0.303416\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 12.0819 | 0.798392 | 0.399196 | − | 0.916866i | \(-0.369289\pi\) | ||||
0.399196 | + | 0.916866i | \(0.369289\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −8.08356 | −0.531859 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 12.3600 | 0.809733 | 0.404867 | − | 0.914376i | \(-0.367318\pi\) | ||||
0.404867 | + | 0.914376i | \(0.367318\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 5.31606 | 0.346782 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 7.84100 | 0.509328 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 14.2718 | 0.923169 | 0.461585 | − | 0.887096i | \(-0.347281\pi\) | ||||
0.461585 | + | 0.887096i | \(0.347281\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −4.58419 | −0.295294 | −0.147647 | − | 0.989040i | \(-0.547170\pi\) | ||||
−0.147647 | + | 0.989040i | \(0.547170\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 1.00000 | 0.0641500 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 9.32158 | 0.595534 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −21.8130 | −1.38793 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −11.3738 | −0.720787 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 16.0666 | 1.01411 | 0.507056 | − | 0.861913i | \(-0.330734\pi\) | ||||
0.507056 | + | 0.861913i | \(0.330734\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 5.93823 | 0.373333 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 4.58957 | 0.287410 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 13.3839 | 0.834863 | 0.417432 | − | 0.908708i | \(-0.362930\pi\) | ||||
0.417432 | + | 0.908708i | \(0.362930\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −27.1847 | −1.68917 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −8.78423 | −0.543730 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 10.4612 | 0.645067 | 0.322534 | − | 0.946558i | \(-0.395465\pi\) | ||||
0.322534 | + | 0.946558i | \(0.395465\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 25.6706 | 1.57693 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 14.4989 | 0.887317 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −5.65825 | −0.344990 | −0.172495 | − | 0.985010i | \(-0.555183\pi\) | ||||
−0.172495 | + | 0.985010i | \(0.555183\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −14.9392 | −0.907494 | −0.453747 | − | 0.891131i | \(-0.649913\pi\) | ||||
−0.453747 | + | 0.891131i | \(0.649913\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −11.5145 | −0.696891 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 2.42930 | 0.146492 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −18.1887 | −1.09285 | −0.546427 | − | 0.837506i | \(-0.684013\pi\) | ||||
−0.546427 | + | 0.837506i | \(0.684013\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −0.157121 | −0.00940658 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 14.8090 | 0.883430 | 0.441715 | − | 0.897155i | \(-0.354370\pi\) | ||||
0.441715 | + | 0.897155i | \(0.354370\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 0.132035 | 0.00784866 | 0.00392433 | − | 0.999992i | \(-0.498751\pi\) | ||||
0.00392433 | + | 0.999992i | \(0.498751\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −15.2409 | −0.902794 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −17.9550 | −1.05985 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −13.4823 | −0.793076 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 13.2629 | 0.777483 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 22.4272 | 1.31021 | 0.655104 | − | 0.755538i | \(-0.272625\pi\) | ||||
0.655104 | + | 0.755538i | \(0.272625\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −27.8945 | −1.62408 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 2.45869 | 0.142668 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 8.45864 | 0.489176 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −39.4917 | −2.27626 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −11.9999 | −0.689375 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −12.9130 | −0.739396 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 17.8792 | 1.02042 | 0.510210 | − | 0.860050i | \(-0.329568\pi\) | ||||
0.510210 | + | 0.860050i | \(0.329568\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −7.67378 | −0.436546 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −4.18402 | −0.237254 | −0.118627 | − | 0.992939i | \(-0.537849\pi\) | ||||
−0.118627 | + | 0.992939i | \(0.537849\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 26.1802 | 1.47979 | 0.739896 | − | 0.672722i | \(-0.234875\pi\) | ||||
0.739896 | + | 0.672722i | \(0.234875\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −8.04529 | −0.453301 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 21.8635 | 1.22798 | 0.613989 | − | 0.789315i | \(-0.289564\pi\) | ||||
0.613989 | + | 0.789315i | \(0.289564\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −21.5977 | −1.20924 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −13.4013 | −0.747989 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −11.6815 | −0.649975 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 3.46039 | 0.191948 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 5.52986 | 0.305802 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −7.14244 | −0.393776 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −24.3232 | −1.33692 | −0.668462 | − | 0.743746i | \(-0.733047\pi\) | ||||
−0.668462 | + | 0.743746i | \(0.733047\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 8.26847 | 0.453109 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 31.0456 | 1.69620 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −12.4492 | −0.678151 | −0.339075 | − | 0.940759i | \(-0.610114\pi\) | ||||
−0.339075 | + | 0.940759i | \(0.610114\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −2.70531 | −0.146932 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −0.386311 | −0.0209199 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 10.4902 | 0.566417 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 5.91011 | 0.318190 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −24.4150 | −1.31067 | −0.655334 | − | 0.755339i | \(-0.727472\pi\) | ||||
−0.655334 | + | 0.755339i | \(0.727472\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 16.9424 | 0.906908 | 0.453454 | − | 0.891280i | \(-0.350192\pi\) | ||||
0.453454 | + | 0.891280i | \(0.350192\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 3.50225 | 0.186936 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −29.4654 | −1.56829 | −0.784144 | − | 0.620579i | \(-0.786898\pi\) | ||||
−0.784144 | + | 0.620579i | \(0.786898\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 40.0323 | 2.12469 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −6.16636 | −0.326358 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −7.70423 | −0.406614 | −0.203307 | − | 0.979115i | \(-0.565169\pi\) | ||||
−0.203307 | + | 0.979115i | \(0.565169\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 19.7916 | 1.04166 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −4.95484 | −0.260062 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 16.8021 | 0.879461 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −37.8619 | −1.97637 | −0.988186 | − | 0.153258i | \(-0.951024\pi\) | ||||
−0.988186 | + | 0.153258i | \(0.951024\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 5.46119 | 0.284298 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −34.4900 | −1.79063 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 23.6981 | 1.22704 | 0.613520 | − | 0.789679i | \(-0.289753\pi\) | ||||
0.613520 | + | 0.789679i | \(0.289753\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −9.81744 | −0.506971 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −30.7646 | −1.58446 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −10.0897 | −0.518275 | −0.259137 | − | 0.965840i | \(-0.583438\pi\) | ||||
−0.259137 | + | 0.965840i | \(0.583438\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −7.45150 | −0.381752 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 1.18569 | 0.0605860 | 0.0302930 | − | 0.999541i | \(-0.490356\pi\) | ||||
0.0302930 | + | 0.999541i | \(0.490356\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −19.7809 | −1.00813 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 12.0118 | 0.610592 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 3.55677 | 0.180335 | 0.0901677 | − | 0.995927i | \(-0.471260\pi\) | ||||
0.0901677 | + | 0.995927i | \(0.471260\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 4.52984 | 0.229084 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 16.0072 | 0.807457 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 19.1873 | 0.965418 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 11.7615 | 0.590292 | 0.295146 | − | 0.955452i | \(-0.404632\pi\) | ||||
0.295146 | + | 0.955452i | \(0.404632\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 20.4771 | 1.02514 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 26.8739 | 1.34202 | 0.671008 | − | 0.741450i | \(-0.265862\pi\) | ||||
0.671008 | + | 0.741450i | \(0.265862\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −0.550277 | −0.0274112 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 2.44705 | 0.121595 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 20.3296 | 1.00770 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 18.8238 | 0.930778 | 0.465389 | − | 0.885106i | \(-0.345914\pi\) | ||||
0.465389 | + | 0.885106i | \(0.345914\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 10.5635 | 0.521059 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 37.4779 | 1.84416 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −27.8323 | −1.36623 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −13.1827 | −0.645562 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −20.4358 | −0.998354 | −0.499177 | − | 0.866500i | \(-0.666364\pi\) | ||||
−0.499177 | + | 0.866500i | \(0.666364\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −26.8877 | −1.31043 | −0.655213 | − | 0.755445i | \(-0.727421\pi\) | ||||
−0.655213 | + | 0.755445i | \(0.727421\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 2.17244 | 0.105628 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 1.85313 | 0.0898902 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 17.3494 | 0.839595 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 8.61095 | 0.415741 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 2.54022 | 0.122358 | 0.0611791 | − | 0.998127i | \(-0.480514\pi\) | ||||
0.0611791 | + | 0.998127i | \(0.480514\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 1.93837 | 0.0931523 | 0.0465761 | − | 0.998915i | \(-0.485169\pi\) | ||||
0.0465761 | + | 0.998915i | \(0.485169\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −21.4954 | −1.03063 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −15.0426 | −0.719583 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −15.5381 | −0.741595 | −0.370797 | − | 0.928714i | \(-0.620916\pi\) | ||||
−0.370797 | + | 0.928714i | \(0.620916\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 3.80931 | 0.181396 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −9.25575 | −0.439754 | −0.219877 | − | 0.975528i | \(-0.570566\pi\) | ||||
−0.219877 | + | 0.975528i | \(0.570566\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 35.4795 | 1.68189 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −3.95193 | −0.186920 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −28.8498 | −1.36150 | −0.680752 | − | 0.732514i | \(-0.738347\pi\) | ||||
−0.680752 | + | 0.732514i | \(0.738347\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 13.4274 | 0.632270 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −1.69850 | −0.0798026 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −28.1766 | −1.32094 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −32.3694 | −1.51418 | −0.757089 | − | 0.653312i | \(-0.773379\pi\) | ||||
−0.757089 | + | 0.653312i | \(0.773379\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 1.87555 | 0.0875433 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −28.6695 | −1.33527 | −0.667635 | − | 0.744489i | \(-0.732693\pi\) | ||||
−0.667635 | + | 0.744489i | \(0.732693\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 2.40456 | 0.111749 | 0.0558747 | − | 0.998438i | \(-0.482205\pi\) | ||||
0.0558747 | + | 0.998438i | \(0.482205\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −0.384482 | −0.0178299 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 7.79123 | 0.360535 | 0.180268 | − | 0.983618i | \(-0.442304\pi\) | ||||
0.180268 | + | 0.983618i | \(0.442304\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −41.7116 | −1.92606 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 17.1677 | 0.791045 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 29.5332 | 1.35794 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −6.15384 | −0.282358 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 10.4904 | 0.480324 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −0.858965 | −0.0392471 | −0.0196235 | − | 0.999807i | \(-0.506247\pi\) | ||||
−0.0196235 | + | 0.999807i | \(0.506247\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 28.9582 | 1.32038 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −7.94058 | −0.361309 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 32.4549 | 1.47370 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 12.5179 | 0.567241 | 0.283621 | − | 0.958937i | \(-0.408464\pi\) | ||||
0.283621 | + | 0.958937i | \(0.408464\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −14.4212 | −0.652148 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 25.4257 | 1.14745 | 0.573723 | − | 0.819049i | \(-0.305499\pi\) | ||||
0.573723 | + | 0.819049i | \(0.305499\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −16.4753 | −0.742010 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 6.01653 | 0.270423 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −53.7857 | −2.41262 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −7.10065 | −0.317869 | −0.158934 | − | 0.987289i | \(-0.550806\pi\) | ||||
−0.158934 | + | 0.987289i | \(0.550806\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −0.953097 | −0.0425812 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 1.00000 | 0.0445878 | ||||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −29.3643 | −1.30669 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −0.734237 | −0.0326086 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 8.72869 | 0.386892 | 0.193446 | − | 0.981111i | \(-0.438034\pi\) | ||||
0.193446 | + | 0.981111i | \(0.438034\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −22.5746 | −0.998640 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −6.22829 | −0.274986 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −18.7781 | −0.827462 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 5.34135 | 0.234912 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −0.689872 | −0.0302820 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −15.5055 | −0.679307 | −0.339653 | − | 0.940551i | \(-0.610310\pi\) | ||||
−0.339653 | + | 0.940551i | \(0.610310\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −15.2909 | −0.668623 | −0.334311 | − | 0.942463i | \(-0.608504\pi\) | ||||
−0.334311 | + | 0.942463i | \(0.608504\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −3.24845 | −0.141774 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −0.294689 | −0.0128368 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −17.1668 | −0.746383 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −11.3992 | −0.494685 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 19.1265 | 0.828459 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −32.7937 | −1.41779 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −23.1631 | −0.999560 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 9.36592 | 0.403419 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −41.0196 | −1.76357 | −0.881786 | − | 0.471650i | \(-0.843659\pi\) | ||||
−0.881786 | + | 0.471650i | \(0.843659\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 20.8009 | 0.892654 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 13.5318 | 0.579640 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −30.1413 | −1.28875 | −0.644374 | − | 0.764711i | \(-0.722882\pi\) | ||||
−0.644374 | + | 0.764711i | \(0.722882\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −5.27697 | −0.225216 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 54.7107 | 2.33076 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −25.7793 | −1.09625 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 20.2333 | 0.858857 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −29.4608 | −1.24829 | −0.624147 | − | 0.781307i | \(-0.714553\pi\) | ||||
−0.624147 | + | 0.781307i | \(0.714553\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 42.0682 | 1.77929 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 4.61140 | 0.194694 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 5.51327 | 0.232357 | 0.116178 | − | 0.993228i | \(-0.462936\pi\) | ||||
0.116178 | + | 0.993228i | \(0.462936\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −6.62002 | −0.278506 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −3.28775 | −0.138073 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −15.2813 | −0.640624 | −0.320312 | − | 0.947312i | \(-0.603788\pi\) | ||||
−0.320312 | + | 0.947312i | \(0.603788\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 10.3609 | 0.433591 | 0.216795 | − | 0.976217i | \(-0.430440\pi\) | ||||
0.216795 | + | 0.976217i | \(0.430440\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 1.18366 | 0.0494481 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 2.38633 | 0.0995168 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 36.9287 | 1.53736 | 0.768680 | − | 0.639633i | \(-0.220914\pi\) | ||||
0.768680 | + | 0.639633i | \(0.220914\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 24.6980 | 1.02642 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 37.3943 | 1.55138 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 25.7927 | 1.06823 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 8.57018 | 0.354333 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −35.3442 | −1.45881 | −0.729405 | − | 0.684082i | \(-0.760203\pi\) | ||||
−0.729405 | + | 0.684082i | \(0.760203\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0.978594 | 0.0403223 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −22.9253 | −0.943019 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −38.2267 | −1.56978 | −0.784890 | − | 0.619635i | \(-0.787281\pi\) | ||||
−0.784890 | + | 0.619635i | \(0.787281\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −15.0894 | −0.618604 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 5.39101 | 0.220639 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −3.24011 | −0.132388 | −0.0661938 | − | 0.997807i | \(-0.521086\pi\) | ||||
−0.0661938 | + | 0.997807i | \(0.521086\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −40.3509 | −1.64595 | −0.822973 | − | 0.568081i | \(-0.807686\pi\) | ||||
−0.822973 | + | 0.568081i | \(0.807686\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 12.6870 | 0.516653 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −12.1247 | −0.492941 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 33.3944 | 1.35544 | 0.677719 | − | 0.735321i | \(-0.262969\pi\) | ||||
0.677719 | + | 0.735321i | \(0.262969\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 28.8804 | 1.17029 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 7.60843 | 0.307804 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 29.2497 | 1.18138 | 0.590692 | − | 0.806897i | \(-0.298855\pi\) | ||||
0.590692 | + | 0.806897i | \(0.298855\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 13.3638 | 0.538880 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 14.9818 | 0.603144 | 0.301572 | − | 0.953443i | \(-0.402489\pi\) | ||||
0.301572 | + | 0.953443i | \(0.402489\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 37.7238 | 1.51625 | 0.758124 | − | 0.652111i | \(-0.226116\pi\) | ||||
0.758124 | + | 0.652111i | \(0.226116\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 2.41520 | 0.0969186 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −47.6687 | −1.90981 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −28.9640 | −1.15856 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −15.3134 | −0.611560 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 15.5080 | 0.618343 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 41.0976 | 1.63607 | 0.818036 | − | 0.575167i | \(-0.195063\pi\) | ||||
0.818036 | + | 0.575167i | \(0.195063\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −10.5456 | −0.419149 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −18.2342 | −0.723601 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 13.3412 | 0.528597 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 16.3594 | 0.647168 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 41.4502 | 1.63718 | 0.818592 | − | 0.574376i | \(-0.194755\pi\) | ||||
0.818592 | + | 0.574376i | \(0.194755\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −19.7449 | −0.778661 | −0.389331 | − | 0.921098i | \(-0.627294\pi\) | ||||
−0.389331 | + | 0.921098i | \(0.627294\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 29.3934 | 1.15736 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 32.0948 | 1.26178 | 0.630889 | − | 0.775873i | \(-0.282690\pi\) | ||||
0.630889 | + | 0.775873i | \(0.282690\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −28.0272 | −1.10016 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0.516574 | 0.0202461 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 24.0025 | 0.939288 | 0.469644 | − | 0.882856i | \(-0.344382\pi\) | ||||
0.469644 | + | 0.882856i | \(0.344382\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 39.1704 | 1.53052 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 6.86626 | 0.267878 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 32.3326 | 1.25950 | 0.629751 | − | 0.776797i | \(-0.283157\pi\) | ||||
0.629751 | + | 0.776797i | \(0.283157\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 12.0304 | 0.467928 | 0.233964 | − | 0.972245i | \(-0.424830\pi\) | ||||
0.233964 | + | 0.972245i | \(0.424830\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 6.56866 | 0.255106 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 50.1084 | 1.94312 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −21.2157 | −0.821474 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 3.05644 | 0.118169 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −12.9744 | −0.500872 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −40.9180 | −1.57727 | −0.788637 | − | 0.614859i | \(-0.789213\pi\) | ||||
−0.788637 | + | 0.614859i | \(0.789213\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0.988047 | 0.0380299 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 42.2119 | 1.62234 | 0.811168 | − | 0.584814i | \(-0.198832\pi\) | ||||
0.811168 | + | 0.584814i | \(0.198832\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −43.6050 | −1.67341 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 17.4491 | 0.668651 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 45.8188 | 1.75321 | 0.876603 | − | 0.481213i | \(-0.159804\pi\) | ||||
0.876603 | + | 0.481213i | \(0.159804\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 25.8494 | 0.987655 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 12.0819 | 0.460952 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 36.7401 | 1.39969 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −15.9383 | −0.606320 | −0.303160 | − | 0.952940i | \(-0.598042\pi\) | ||||
−0.303160 | + | 0.952940i | \(0.598042\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −8.08356 | −0.307069 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −32.2588 | −1.22365 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 10.2428 | 0.387972 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 12.3600 | 0.467500 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −19.2437 | −0.726823 | −0.363412 | − | 0.931629i | \(-0.618388\pi\) | ||||
−0.363412 | + | 0.931629i | \(0.618388\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −51.4984 | −1.94230 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 5.31606 | 0.200215 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 39.4526 | 1.48377 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −15.5594 | −0.584346 | −0.292173 | − | 0.956366i | \(-0.594378\pi\) | ||||
−0.292173 | + | 0.956366i | \(0.594378\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 7.84100 | 0.294060 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −0.379478 | −0.0142116 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 21.0714 | 0.788026 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 14.2718 | 0.532992 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −13.3791 | −0.498955 | −0.249478 | − | 0.968381i | \(-0.580259\pi\) | ||||
−0.249478 | + | 0.968381i | \(0.580259\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 25.2295 | 0.939595 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −4.58419 | −0.170488 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −8.67923 | −0.322338 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 9.35115 | 0.346815 | 0.173408 | − | 0.984850i | \(-0.444522\pi\) | ||||
0.173408 | + | 0.984850i | \(0.444522\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 22.5287 | 0.833254 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −32.1734 | −1.18835 | −0.594176 | − | 0.804335i | \(-0.702522\pi\) | ||||
−0.594176 | + | 0.804335i | \(0.702522\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 9.32158 | 0.343832 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 31.1933 | 1.14902 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −37.1273 | −1.36575 | −0.682874 | − | 0.730536i | \(-0.739270\pi\) | ||||
−0.682874 | + | 0.730536i | \(0.739270\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −21.8130 | −0.801322 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 18.7787 | 0.688923 | 0.344462 | − | 0.938800i | \(-0.388061\pi\) | ||||
0.344462 | + | 0.938800i | \(0.388061\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −9.67057 | −0.354302 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −11.3738 | −0.416147 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 44.0602 | 1.60993 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −24.2143 | −0.883591 | −0.441796 | − | 0.897116i | \(-0.645658\pi\) | ||||
−0.441796 | + | 0.897116i | \(0.645658\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 16.0666 | 0.585498 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −4.15632 | −0.151264 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −15.7002 | −0.570632 | −0.285316 | − | 0.958433i | \(-0.592099\pi\) | ||||
−0.285316 | + | 0.958433i | \(0.592099\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 5.93823 | 0.215544 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −28.4105 | −1.02988 | −0.514940 | − | 0.857226i | \(-0.672186\pi\) | ||||
−0.514940 | + | 0.857226i | \(0.672186\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −18.1808 | −0.658189 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 4.58957 | 0.165936 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −39.9230 | −1.44154 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −0.929133 | −0.0335054 | −0.0167527 | − | 0.999860i | \(-0.505333\pi\) | ||||
−0.0167527 | + | 0.999860i | \(0.505333\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 13.3839 | 0.482009 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 26.2797 | 0.945216 | 0.472608 | − | 0.881273i | \(-0.343313\pi\) | ||||
0.472608 | + | 0.881273i | \(0.343313\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −0.155243 | −0.00557648 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −27.1847 | −0.975245 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −34.0139 | −1.21867 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 40.2227 | 1.43928 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −8.78423 | −0.313923 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 42.0101 | 1.49941 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −2.37433 | −0.0846358 | −0.0423179 | − | 0.999104i | \(-0.513474\pi\) | ||||
−0.0423179 | + | 0.999104i | \(0.513474\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 10.4612 | 0.372430 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 8.89439 | 0.316248 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −18.4813 | −0.656289 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 25.6706 | 0.910443 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −10.3670 | −0.367219 | −0.183610 | − | 0.982999i | \(-0.558778\pi\) | ||||
−0.183610 | + | 0.982999i | \(0.558778\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 4.07453 | 0.144146 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 14.4989 | 0.512293 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 16.8820 | 0.595753 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −19.4310 | −0.684852 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −5.65825 | −0.199180 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 20.8730 | 0.733855 | 0.366928 | − | 0.930249i | \(-0.380410\pi\) | ||||
0.366928 | + | 0.930249i | \(0.380410\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 46.9934 | 1.65016 | 0.825081 | − | 0.565014i | \(-0.191129\pi\) | ||||
0.825081 | + | 0.565014i | \(0.191129\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −14.9392 | −0.523942 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −35.2893 | −1.23613 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −74.8127 | −2.61736 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −11.5145 | −0.402350 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 38.5702 | 1.34611 | 0.673055 | − | 0.739592i | \(-0.264982\pi\) | ||||
0.673055 | + | 0.739592i | \(0.264982\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −25.8794 | −0.902100 | −0.451050 | − | 0.892499i | \(-0.648950\pi\) | ||||
−0.451050 | + | 0.892499i | \(0.648950\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 2.42930 | 0.0845774 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 17.8780 | 0.621679 | 0.310839 | − | 0.950462i | \(-0.399390\pi\) | ||||
0.310839 | + | 0.950462i | \(0.399390\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −32.0345 | −1.11261 | −0.556303 | − | 0.830980i | \(-0.687781\pi\) | ||||
−0.556303 | + | 0.830980i | \(0.687781\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −18.1887 | −0.630960 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 7.14457 | 0.247545 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −2.33227 | −0.0807117 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −0.157121 | −0.00543089 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 17.0182 | 0.587532 | 0.293766 | − | 0.955877i | \(-0.405091\pi\) | ||||
0.293766 | + | 0.955877i | \(0.405091\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 48.1627 | 1.66078 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 14.8090 | 0.510049 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −1.79671 | −0.0618088 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 16.2903 | 0.559741 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 0.132035 | 0.00453143 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 19.9700 | 0.684563 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −43.3715 | −1.48501 | −0.742506 | − | 0.669840i | \(-0.766363\pi\) | ||||
−0.742506 | + | 0.669840i | \(0.766363\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −15.2409 | −0.521229 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 24.8892 | 0.850198 | 0.425099 | − | 0.905147i | \(-0.360239\pi\) | ||||
0.425099 | + | 0.905147i | \(0.360239\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −7.04514 | −0.240377 | −0.120188 | − | 0.992751i | \(-0.538350\pi\) | ||||
−0.120188 | + | 0.992751i | \(0.538350\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −17.9550 | −0.611906 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −44.8097 | −1.52534 | −0.762669 | − | 0.646789i | \(-0.776112\pi\) | ||||
−0.762669 | + | 0.646789i | \(0.776112\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −1.68815 | −0.0573988 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −13.4823 | −0.457883 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 19.2786 | 0.653981 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 44.4330 | 1.50555 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 13.2629 | 0.448880 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 32.2773 | 1.09117 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 48.4494 | 1.63602 | 0.818009 | − | 0.575205i | \(-0.195078\pi\) | ||||
0.818009 | + | 0.575205i | \(0.195078\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 22.4272 | 0.756449 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −10.2191 | −0.344291 | −0.172145 | − | 0.985072i | \(-0.555070\pi\) | ||||
−0.172145 | + | 0.985072i | \(0.555070\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −21.4398 | −0.721508 | −0.360754 | − | 0.932661i | \(-0.617481\pi\) | ||||
−0.360754 | + | 0.932661i | \(0.617481\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −27.8945 | −0.937663 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 31.2685 | 1.04989 | 0.524946 | − | 0.851135i | \(-0.324085\pi\) | ||||
0.524946 | + | 0.851135i | \(0.324085\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 24.4987 | 0.821659 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 2.45869 | 0.0823692 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −13.5306 | −0.452784 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −56.6811 | −1.89464 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 8.45864 | 0.282426 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 1.38019 | 0.0460318 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 19.6754 | 0.655482 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −39.4917 | −1.31420 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 50.9009 | 1.69200 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −48.9054 | −1.62388 | −0.811939 | − | 0.583742i | \(-0.801588\pi\) | ||||
−0.811939 | + | 0.583742i | \(0.801588\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −11.9999 | −0.398011 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 15.9314 | 0.527831 | 0.263916 | − | 0.964546i | \(-0.414986\pi\) | ||||
0.263916 | + | 0.964546i | \(0.414986\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −27.9647 | −0.925497 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −12.9130 | −0.426891 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −52.6278 | −1.73792 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 15.4425 | 0.509402 | 0.254701 | − | 0.967020i | \(-0.418023\pi\) | ||||
0.254701 | + | 0.967020i | \(0.418023\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 17.8792 | 0.589140 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 57.2948 | 1.88588 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 8.16963 | 0.268616 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −7.67378 | −0.252040 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −50.4489 | −1.65517 | −0.827587 | − | 0.561337i | \(-0.810287\pi\) | ||||
−0.827587 | + | 0.561337i | \(0.810287\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −23.7255 | −0.777572 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −4.18402 | −0.136979 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 11.2843 | 0.369037 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −48.0069 | −1.56832 | −0.784158 | − | 0.620561i | \(-0.786905\pi\) | ||||
−0.784158 | + | 0.620561i | \(0.786905\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 26.1802 | 0.854358 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −35.4091 | −1.15430 | −0.577152 | − | 0.816636i | \(-0.695836\pi\) | ||||
−0.577152 | + | 0.816636i | \(0.695836\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 13.1899 | 0.429521 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −8.04529 | −0.261713 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −41.7519 | −1.35676 | −0.678378 | − | 0.734713i | \(-0.737317\pi\) | ||||
−0.678378 | + | 0.734713i | \(0.737317\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 24.0474 | 0.780611 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 21.8635 | 0.708973 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −22.6918 | −0.735061 | −0.367530 | − | 0.930012i | \(-0.619797\pi\) | ||||
−0.367530 | + | 0.930012i | \(0.619797\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 2.89648 | 0.0937277 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −21.5977 | −0.698154 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −34.7302 | −1.12150 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −30.9753 | −0.999204 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −13.4013 | −0.431852 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 60.4373 | 1.94555 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −49.3746 | −1.58778 | −0.793891 | − | 0.608060i | \(-0.791948\pi\) | ||||
−0.793891 | + | 0.608060i | \(0.791948\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −11.6815 | −0.375264 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −26.4415 | −0.848547 | −0.424273 | − | 0.905534i | \(-0.639470\pi\) | ||||
−0.424273 | + | 0.905534i | \(0.639470\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 43.3416 | 1.38947 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 3.46039 | 0.110821 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −46.0193 | −1.47229 | −0.736144 | − | 0.676825i | \(-0.763356\pi\) | ||||
−0.736144 | + | 0.676825i | \(0.763356\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 35.6483 | 1.13932 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 5.52986 | 0.176555 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 12.5448 | 0.400118 | 0.200059 | − | 0.979784i | \(-0.435887\pi\) | ||||
0.200059 | + | 0.979784i | \(0.435887\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −56.0992 | −1.78747 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −7.14244 | −0.227346 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 29.0108 | 0.922489 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −61.3754 | −1.94965 | −0.974827 | − | 0.222963i | \(-0.928427\pi\) | ||||
−0.974827 | + | 0.222963i | \(0.928427\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −24.3232 | −0.771874 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 13.1921 | 0.418217 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 18.2665 | 0.578504 | 0.289252 | − | 0.957253i | \(-0.406593\pi\) | ||||
0.289252 | + | 0.957253i | \(0.406593\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 8.26847 | 0.261603 |
(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.h.1.17 | ✓ | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
6036.2.a.h.1.17 | ✓ | 24 | 1.1 | even | 1 | trivial |