Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [432,2,Mod(109,432)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(432, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 3, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("432.109");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 432 = 2^{4} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 432.k (of order \(4\), degree \(2\), minimal) |
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: | no |
Analytic conductor: | \(3.44953736732\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(12\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 325.1 | ||
Character | \(\chi\) | \(=\) | 432.325 |
Dual form | 432.2.k.c.109.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/432\mathbb{Z}\right)^\times\).
\(n\) | \(271\) | \(325\) | \(353\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{4}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.40946 | − | 0.115854i | −0.996639 | − | 0.0819211i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.97316 | + | 0.326583i | 0.986578 | + | 0.163292i | ||||
\(5\) | −1.78448 | − | 1.78448i | −0.798042 | − | 0.798042i | 0.184744 | − | 0.982787i | \(-0.440854\pi\) |
−0.982787 | + | 0.184744i | \(0.940854\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | − | 4.77575i | − | 1.80506i | −0.430624 | − | 0.902531i | \(-0.641707\pi\) | ||
0.430624 | − | 0.902531i | \(-0.358293\pi\) | |||||||
\(8\) | −2.74325 | − | 0.688904i | −0.969885 | − | 0.243564i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 2.30841 | + | 2.72189i | 0.729983 | + | 0.860736i | ||||
\(11\) | 1.61691 | + | 1.61691i | 0.487516 | + | 0.487516i | 0.907522 | − | 0.420005i | \(-0.137972\pi\) |
−0.420005 | + | 0.907522i | \(0.637972\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.94631 | + | 1.94631i | −0.539810 | + | 0.539810i | −0.923473 | − | 0.383663i | \(-0.874662\pi\) |
0.383663 | + | 0.923473i | \(0.374662\pi\) | |||||||
\(14\) | −0.553289 | + | 6.73122i | −0.147873 | + | 1.79900i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 3.78669 | + | 1.28880i | 0.946672 | + | 0.322200i | ||||
\(17\) | −4.57210 | −1.10890 | −0.554449 | − | 0.832218i | \(-0.687071\pi\) | ||||
−0.554449 | + | 0.832218i | \(0.687071\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −5.73692 | + | 5.73692i | −1.31614 | + | 1.31614i | −0.399334 | + | 0.916805i | \(0.630759\pi\) |
−0.916805 | + | 0.399334i | \(0.869241\pi\) | |||||||
\(20\) | −2.93827 | − | 4.10383i | −0.657017 | − | 0.917644i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −2.09164 | − | 2.46629i | −0.445940 | − | 0.525816i | ||||
\(23\) | 0.0549093i | 0.0114494i | 0.999984 | + | 0.00572469i | \(0.00182223\pi\) | ||||
−0.999984 | + | 0.00572469i | \(0.998178\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.36871i | 0.273743i | ||||||||
\(26\) | 2.96874 | − | 2.51776i | 0.582217 | − | 0.493773i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 1.55968 | − | 9.42329i | 0.294751 | − | 1.78083i | ||||
\(29\) | 4.88433 | − | 4.88433i | 0.906997 | − | 0.906997i | −0.0890316 | − | 0.996029i | \(-0.528377\pi\) |
0.996029 | + | 0.0890316i | \(0.0283772\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.02436 | −0.363586 | −0.181793 | − | 0.983337i | \(-0.558190\pi\) | ||||
−0.181793 | + | 0.983337i | \(0.558190\pi\) | |||||||
\(32\) | −5.18787 | − | 2.25521i | −0.917095 | − | 0.398669i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 6.44420 | + | 0.529697i | 1.10517 | + | 0.0908422i | ||||
\(35\) | −8.52221 | + | 8.52221i | −1.44052 | + | 1.44052i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −2.82621 | − | 2.82621i | −0.464626 | − | 0.464626i | 0.435542 | − | 0.900168i | \(-0.356557\pi\) |
−0.900168 | + | 0.435542i | \(0.856557\pi\) | |||||||
\(38\) | 8.75061 | − | 7.42132i | 1.41954 | − | 1.20390i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 3.66593 | + | 6.12460i | 0.579634 | + | 0.968384i | ||||
\(41\) | − | 4.33200i | − | 0.676545i | −0.941048 | − | 0.338272i | \(-0.890157\pi\) | ||
0.941048 | − | 0.338272i | \(-0.109843\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.74816 | − | 1.74816i | −0.266592 | − | 0.266592i | 0.561133 | − | 0.827725i | \(-0.310366\pi\) |
−0.827725 | + | 0.561133i | \(0.810366\pi\) | |||||||
\(44\) | 2.66236 | + | 3.71847i | 0.401366 | + | 0.560580i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.00636145 | − | 0.0773924i | 0.000937945 | − | 0.0114109i | ||||
\(47\) | −11.7093 | −1.70797 | −0.853986 | − | 0.520296i | \(-0.825822\pi\) | ||||
−0.853986 | + | 0.520296i | \(0.825822\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −15.8078 | −2.25825 | ||||||||
\(50\) | 0.158571 | − | 1.92915i | 0.0224253 | − | 0.272823i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −4.47601 | + | 3.20474i | −0.620711 | + | 0.444418i | ||||
\(53\) | 2.91666 | + | 2.91666i | 0.400634 | + | 0.400634i | 0.878457 | − | 0.477822i | \(-0.158574\pi\) |
−0.477822 | + | 0.878457i | \(0.658574\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 5.77067i | − | 0.778117i | ||||||
\(56\) | −3.29003 | + | 13.1011i | −0.439649 | + | 1.75070i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −7.45014 | + | 6.31840i | −0.978251 | + | 0.829646i | ||||
\(59\) | 5.09043 | + | 5.09043i | 0.662718 | + | 0.662718i | 0.956020 | − | 0.293302i | \(-0.0947542\pi\) |
−0.293302 | + | 0.956020i | \(0.594754\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 4.33392 | − | 4.33392i | 0.554901 | − | 0.554901i | −0.372950 | − | 0.927851i | \(-0.621654\pi\) |
0.927851 | + | 0.372950i | \(0.121654\pi\) | |||||||
\(62\) | 2.85326 | + | 0.234530i | 0.362364 | + | 0.0297854i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 7.05082 | + | 3.77967i | 0.881353 | + | 0.472459i | ||||
\(65\) | 6.94629 | 0.861582 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −2.89585 | + | 2.89585i | −0.353784 | + | 0.353784i | −0.861515 | − | 0.507731i | \(-0.830484\pi\) |
0.507731 | + | 0.861515i | \(0.330484\pi\) | |||||||
\(68\) | −9.02148 | − | 1.49317i | −1.09401 | − | 0.181074i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 12.9990 | − | 11.0244i | 1.55368 | − | 1.31767i | ||||
\(71\) | 6.50776i | 0.772329i | 0.922430 | + | 0.386164i | \(0.126200\pi\) | ||||
−0.922430 | + | 0.386164i | \(0.873800\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | − | 9.76411i | − | 1.14280i | −0.820671 | − | 0.571401i | \(-0.806400\pi\) | ||
0.820671 | − | 0.571401i | \(-0.193600\pi\) | |||||||
\(74\) | 3.65600 | + | 4.31086i | 0.425002 | + | 0.501127i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −13.1934 | + | 9.44626i | −1.51339 | + | 1.08356i | ||||
\(77\) | 7.72195 | − | 7.72195i | 0.879998 | − | 0.879998i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −2.55495 | −0.287454 | −0.143727 | − | 0.989617i | \(-0.545909\pi\) | ||||
−0.143727 | + | 0.989617i | \(0.545909\pi\) | |||||||
\(80\) | −4.45742 | − | 9.05709i | −0.498355 | − | 1.01261i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −0.501880 | + | 6.10578i | −0.0554233 | + | 0.674271i | ||||
\(83\) | 8.59304 | − | 8.59304i | 0.943208 | − | 0.943208i | −0.0552635 | − | 0.998472i | \(-0.517600\pi\) |
0.998472 | + | 0.0552635i | \(0.0175999\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 8.15881 | + | 8.15881i | 0.884948 | + | 0.884948i | ||||
\(86\) | 2.26143 | + | 2.66650i | 0.243857 | + | 0.287536i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −3.32169 | − | 5.54948i | −0.354093 | − | 0.591576i | ||||
\(89\) | − | 10.1186i | − | 1.07257i | −0.844038 | − | 0.536284i | \(-0.819828\pi\) | ||
0.844038 | − | 0.536284i | \(-0.180172\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 9.29509 | + | 9.29509i | 0.974390 | + | 0.974390i | ||||
\(92\) | −0.0179324 | + | 0.108345i | −0.00186959 | + | 0.0112957i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 16.5037 | + | 1.35656i | 1.70223 | + | 0.139919i | ||||
\(95\) | 20.4748 | 2.10067 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −6.93376 | −0.704016 | −0.352008 | − | 0.935997i | \(-0.614501\pi\) | ||||
−0.352008 | + | 0.935997i | \(0.614501\pi\) | |||||||
\(98\) | 22.2804 | + | 1.83139i | 2.25066 | + | 0.184998i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.446999 | + | 2.70069i | −0.0446999 | + | 0.270069i | ||||
\(101\) | −5.13965 | − | 5.13965i | −0.511415 | − | 0.511415i | 0.403545 | − | 0.914960i | \(-0.367778\pi\) |
−0.914960 | + | 0.403545i | \(0.867778\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 4.74494i | 0.467533i | 0.972293 | + | 0.233766i | \(0.0751051\pi\) | ||||
−0.972293 | + | 0.233766i | \(0.924895\pi\) | |||||||
\(104\) | 6.68004 | − | 3.99839i | 0.655032 | − | 0.392075i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −3.77301 | − | 4.44883i | −0.366467 | − | 0.432108i | ||||
\(107\) | −1.13958 | − | 1.13958i | −0.110167 | − | 0.110167i | 0.649874 | − | 0.760042i | \(-0.274821\pi\) |
−0.760042 | + | 0.649874i | \(0.774821\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 2.54746 | − | 2.54746i | 0.244003 | − | 0.244003i | −0.574501 | − | 0.818504i | \(-0.694804\pi\) |
0.818504 | + | 0.574501i | \(0.194804\pi\) | |||||||
\(110\) | −0.668555 | + | 8.13353i | −0.0637443 | + | 0.775502i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 6.15498 | − | 18.0843i | 0.581591 | − | 1.70880i | ||||
\(113\) | 9.39661 | 0.883958 | 0.441979 | − | 0.897025i | \(-0.354276\pi\) | ||||
0.441979 | + | 0.897025i | \(0.354276\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.0979843 | − | 0.0979843i | 0.00913708 | − | 0.00913708i | ||||
\(116\) | 11.2327 | − | 8.04240i | 1.04293 | − | 0.746718i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −6.58501 | − | 7.76450i | −0.606199 | − | 0.714781i | ||||
\(119\) | 21.8352i | 2.00163i | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | − | 5.77121i | − | 0.524655i | ||||||
\(122\) | −6.61059 | + | 5.60638i | −0.598494 | + | 0.507578i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −3.99438 | − | 0.661122i | −0.358706 | − | 0.0593705i | ||||
\(125\) | −6.47995 | + | 6.47995i | −0.579584 | + | 0.579584i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 17.0522 | 1.51314 | 0.756571 | − | 0.653912i | \(-0.226873\pi\) | ||||
0.756571 | + | 0.653912i | \(0.226873\pi\) | |||||||
\(128\) | −9.49996 | − | 6.14416i | −0.839686 | − | 0.543072i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −9.79053 | − | 0.804756i | −0.858686 | − | 0.0705818i | ||||
\(131\) | −9.34322 | + | 9.34322i | −0.816321 | + | 0.816321i | −0.985573 | − | 0.169252i | \(-0.945865\pi\) |
0.169252 | + | 0.985573i | \(0.445865\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 27.3981 | + | 27.3981i | 2.37571 | + | 2.37571i | ||||
\(134\) | 4.41708 | − | 3.74609i | 0.381577 | − | 0.323612i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 12.5424 | + | 3.14974i | 1.07550 | + | 0.270088i | ||||
\(137\) | − | 7.73456i | − | 0.660808i | −0.943840 | − | 0.330404i | \(-0.892815\pi\) | ||
0.943840 | − | 0.330404i | \(-0.107185\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 0.907485 | + | 0.907485i | 0.0769718 | + | 0.0769718i | 0.744545 | − | 0.667573i | \(-0.232667\pi\) |
−0.667573 | + | 0.744545i | \(0.732667\pi\) | |||||||
\(140\) | −19.5989 | + | 14.0324i | −1.65641 | + | 1.18596i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0.753950 | − | 9.17243i | 0.0632701 | − | 0.769733i | ||||
\(143\) | −6.29402 | −0.526332 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −17.4319 | −1.44764 | ||||||||
\(146\) | −1.13121 | + | 13.7621i | −0.0936197 | + | 1.13896i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −4.65356 | − | 6.49955i | −0.382520 | − | 0.534260i | ||||
\(149\) | −8.00910 | − | 8.00910i | −0.656131 | − | 0.656131i | 0.298332 | − | 0.954462i | \(-0.403570\pi\) |
−0.954462 | + | 0.298332i | \(0.903570\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | − | 17.7384i | − | 1.44353i | −0.692138 | − | 0.721765i | \(-0.743331\pi\) | ||
0.692138 | − | 0.721765i | \(-0.256669\pi\) | |||||||
\(152\) | 19.6900 | − | 11.7856i | 1.59707 | − | 0.955939i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −11.7784 | + | 9.98916i | −0.949130 | + | 0.804950i | ||||
\(155\) | 3.61242 | + | 3.61242i | 0.290157 | + | 0.290157i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 17.1765 | − | 17.1765i | 1.37083 | − | 1.37083i | 0.511620 | − | 0.859212i | \(-0.329046\pi\) |
0.859212 | − | 0.511620i | \(-0.170954\pi\) | |||||||
\(158\) | 3.60110 | + | 0.296001i | 0.286488 | + | 0.0235486i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 5.23326 | + | 13.2820i | 0.413726 | + | 1.05004i | ||||
\(161\) | 0.262233 | 0.0206668 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −3.94500 | + | 3.94500i | −0.308996 | + | 0.308996i | −0.844520 | − | 0.535524i | \(-0.820114\pi\) |
0.535524 | + | 0.844520i | \(0.320114\pi\) | |||||||
\(164\) | 1.41476 | − | 8.54771i | 0.110474 | − | 0.667464i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −13.1071 | + | 11.1160i | −1.01731 | + | 0.862769i | ||||
\(167\) | − | 12.2975i | − | 0.951613i | −0.879550 | − | 0.475806i | \(-0.842156\pi\) | ||
0.879550 | − | 0.475806i | \(-0.157844\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 5.42374i | 0.417211i | ||||||||
\(170\) | −10.5543 | − | 12.4448i | −0.809477 | − | 0.954469i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −2.87848 | − | 4.02032i | −0.219482 | − | 0.306546i | ||||
\(173\) | −10.8664 | + | 10.8664i | −0.826158 | + | 0.826158i | −0.986983 | − | 0.160825i | \(-0.948584\pi\) |
0.160825 | + | 0.986983i | \(0.448584\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 6.53663 | 0.494123 | ||||||||
\(176\) | 4.03886 | + | 8.20660i | 0.304440 | + | 0.618596i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −1.17228 | + | 14.2617i | −0.0878659 | + | 1.06896i | ||||
\(179\) | 1.13958 | − | 1.13958i | 0.0851762 | − | 0.0851762i | −0.663235 | − | 0.748411i | \(-0.730817\pi\) |
0.748411 | + | 0.663235i | \(0.230817\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −3.01618 | − | 3.01618i | −0.224191 | − | 0.224191i | 0.586070 | − | 0.810260i | \(-0.300674\pi\) |
−0.810260 | + | 0.586070i | \(0.800674\pi\) | |||||||
\(182\) | −12.0242 | − | 14.1779i | −0.891292 | − | 1.05094i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0.0378272 | − | 0.150630i | 0.00278866 | − | 0.0111046i | ||||
\(185\) | 10.0866i | 0.741583i | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −7.39268 | − | 7.39268i | −0.540606 | − | 0.540606i | ||||
\(188\) | −23.1042 | − | 3.82405i | −1.68505 | − | 0.278897i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −28.8584 | − | 2.37209i | −2.09361 | − | 0.172089i | ||||
\(191\) | 1.41532 | 0.102409 | 0.0512047 | − | 0.998688i | \(-0.483694\pi\) | ||||
0.0512047 | + | 0.998688i | \(0.483694\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 10.1540 | 0.730898 | 0.365449 | − | 0.930831i | \(-0.380915\pi\) | ||||
0.365449 | + | 0.930831i | \(0.380915\pi\) | |||||||
\(194\) | 9.77285 | + | 0.803303i | 0.701650 | + | 0.0576738i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −31.1912 | − | 5.16255i | −2.22794 | − | 0.368753i | ||||
\(197\) | −3.79645 | − | 3.79645i | −0.270486 | − | 0.270486i | 0.558810 | − | 0.829296i | \(-0.311258\pi\) |
−0.829296 | + | 0.558810i | \(0.811258\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | − | 10.0596i | − | 0.713106i | −0.934275 | − | 0.356553i | \(-0.883952\pi\) | ||
0.934275 | − | 0.356553i | \(-0.116048\pi\) | |||||||
\(200\) | 0.942912 | − | 3.75472i | 0.0666740 | − | 0.265499i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 6.64869 | + | 7.83959i | 0.467800 | + | 0.551591i | ||||
\(203\) | −23.3263 | − | 23.3263i | −1.63719 | − | 1.63719i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −7.73036 | + | 7.73036i | −0.539911 | + | 0.539911i | ||||
\(206\) | 0.549720 | − | 6.68780i | 0.0383008 | − | 0.465961i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −9.87848 | + | 4.86167i | −0.684949 | + | 0.337096i | ||||
\(209\) | −18.5522 | −1.28328 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −6.59568 | + | 6.59568i | −0.454066 | + | 0.454066i | −0.896701 | − | 0.442636i | \(-0.854043\pi\) |
0.442636 | + | 0.896701i | \(0.354043\pi\) | |||||||
\(212\) | 4.80250 | + | 6.70756i | 0.329837 | + | 0.460677i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 1.47417 | + | 1.73822i | 0.100772 | + | 0.118822i | ||||
\(215\) | 6.23911i | 0.425504i | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 9.66783i | 0.656295i | ||||||||
\(218\) | −3.88568 | + | 3.29541i | −0.263172 | + | 0.223194i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 1.88460 | − | 11.3864i | 0.127060 | − | 0.767673i | ||||
\(221\) | 8.89874 | − | 8.89874i | 0.598594 | − | 0.598594i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −1.93893 | −0.129841 | −0.0649203 | − | 0.997890i | \(-0.520679\pi\) | ||||
−0.0649203 | + | 0.997890i | \(0.520679\pi\) | |||||||
\(224\) | −10.7703 | + | 24.7760i | −0.719623 | + | 1.65541i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −13.2441 | − | 1.08863i | −0.880987 | − | 0.0724149i | ||||
\(227\) | 0.135956 | − | 0.135956i | 0.00902370 | − | 0.00902370i | −0.702581 | − | 0.711604i | \(-0.747969\pi\) |
0.711604 | + | 0.702581i | \(0.247969\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 3.45402 | + | 3.45402i | 0.228248 | + | 0.228248i | 0.811960 | − | 0.583713i | \(-0.198400\pi\) |
−0.583713 | + | 0.811960i | \(0.698400\pi\) | |||||||
\(230\) | −0.149457 | + | 0.126753i | −0.00985489 | + | 0.00835785i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −16.7638 | + | 10.0341i | −1.10059 | + | 0.658771i | ||||
\(233\) | 14.7128i | 0.963869i | 0.876207 | + | 0.481934i | \(0.160066\pi\) | ||||
−0.876207 | + | 0.481934i | \(0.839934\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 20.8949 | + | 20.8949i | 1.36303 | + | 1.36303i | ||||
\(236\) | 8.38176 | + | 11.7067i | 0.545606 | + | 0.762039i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 2.52970 | − | 30.7759i | 0.163976 | − | 1.99490i | ||||
\(239\) | −6.99700 | −0.452598 | −0.226299 | − | 0.974058i | \(-0.572663\pi\) | ||||
−0.226299 | + | 0.974058i | \(0.572663\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 18.7002 | 1.20459 | 0.602294 | − | 0.798274i | \(-0.294253\pi\) | ||||
0.602294 | + | 0.798274i | \(0.294253\pi\) | |||||||
\(242\) | −0.668617 | + | 8.13429i | −0.0429804 | + | 0.522892i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 9.96688 | − | 7.13611i | 0.638064 | − | 0.456843i | ||||
\(245\) | 28.2086 | + | 28.2086i | 1.80218 | + | 1.80218i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | − | 22.3317i | − | 1.42093i | ||||||
\(248\) | 5.55332 | + | 1.39459i | 0.352636 | + | 0.0885565i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 9.88395 | − | 8.38250i | 0.625116 | − | 0.530156i | ||||
\(251\) | 4.57136 | + | 4.57136i | 0.288542 | + | 0.288542i | 0.836503 | − | 0.547962i | \(-0.184596\pi\) |
−0.547962 | + | 0.836503i | \(0.684596\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.0887833 | + | 0.0887833i | −0.00558176 | + | 0.00558176i | ||||
\(254\) | −24.0345 | − | 1.97557i | −1.50806 | − | 0.123958i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 12.6780 | + | 9.76055i | 0.792375 | + | 0.610035i | ||||
\(257\) | 26.2965 | 1.64033 | 0.820167 | − | 0.572124i | \(-0.193881\pi\) | ||||
0.820167 | + | 0.572124i | \(0.193881\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −13.4973 | + | 13.4973i | −0.838680 | + | 0.838680i | ||||
\(260\) | 13.7061 | + | 2.26854i | 0.850018 | + | 0.140689i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 14.2513 | − | 12.0864i | 0.880451 | − | 0.746703i | ||||
\(263\) | − | 29.5593i | − | 1.82271i | −0.411624 | − | 0.911354i | \(-0.635038\pi\) | ||
0.411624 | − | 0.911354i | \(-0.364962\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | − | 10.4094i | − | 0.639446i | ||||||
\(266\) | −35.4423 | − | 41.7907i | −2.17311 | − | 2.56235i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −6.65969 | + | 4.76822i | −0.406805 | + | 0.291266i | ||||
\(269\) | −6.82293 | + | 6.82293i | −0.416001 | + | 0.416001i | −0.883823 | − | 0.467822i | \(-0.845039\pi\) |
0.467822 | + | 0.883823i | \(0.345039\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 3.28197 | 0.199366 | 0.0996828 | − | 0.995019i | \(-0.468217\pi\) | ||||
0.0996828 | + | 0.995019i | \(0.468217\pi\) | |||||||
\(272\) | −17.3131 | − | 5.89252i | −1.04976 | − | 0.357287i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −0.896079 | + | 10.9015i | −0.0541341 | + | 0.658587i | ||||
\(275\) | −2.21309 | + | 2.21309i | −0.133454 | + | 0.133454i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −11.9478 | − | 11.9478i | −0.717873 | − | 0.717873i | 0.250296 | − | 0.968169i | \(-0.419472\pi\) |
−0.968169 | + | 0.250296i | \(0.919472\pi\) | |||||||
\(278\) | −1.17393 | − | 1.38420i | −0.0704075 | − | 0.0830188i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 29.2495 | − | 17.5076i | 1.74799 | − | 1.04628i | ||||
\(281\) | − | 31.5153i | − | 1.88005i | −0.341112 | − | 0.940023i | \(-0.610804\pi\) | ||
0.341112 | − | 0.940023i | \(-0.389196\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 19.3322 | + | 19.3322i | 1.14918 | + | 1.14918i | 0.986714 | + | 0.162464i | \(0.0519441\pi\) |
0.162464 | + | 0.986714i | \(0.448056\pi\) | |||||||
\(284\) | −2.12532 | + | 12.8408i | −0.126115 | + | 0.761963i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 8.87117 | + | 0.729187i | 0.524563 | + | 0.0431177i | ||||
\(287\) | −20.6885 | −1.22121 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 3.90414 | 0.229656 | ||||||||
\(290\) | 24.5696 | + | 2.01956i | 1.44278 | + | 0.118593i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 3.18879 | − | 19.2661i | 0.186610 | − | 1.12746i | ||||
\(293\) | −12.8368 | − | 12.8368i | −0.749936 | − | 0.749936i | 0.224531 | − | 0.974467i | \(-0.427915\pi\) |
−0.974467 | + | 0.224531i | \(0.927915\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | − | 18.1675i | − | 1.05775i | ||||||
\(296\) | 5.80601 | + | 9.69999i | 0.337468 | + | 0.563800i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 10.3606 | + | 12.2164i | 0.600174 | + | 0.707676i | ||||
\(299\) | −0.106871 | − | 0.106871i | −0.00618048 | − | 0.00618048i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −8.34878 | + | 8.34878i | −0.481216 | + | 0.481216i | ||||
\(302\) | −2.05506 | + | 25.0016i | −0.118256 | + | 1.43868i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −29.1177 | + | 14.3302i | −1.67001 | + | 0.821892i | ||||
\(305\) | −15.4675 | −0.885669 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −7.63784 | + | 7.63784i | −0.435915 | + | 0.435915i | −0.890634 | − | 0.454720i | \(-0.849739\pi\) |
0.454720 | + | 0.890634i | \(0.349739\pi\) | |||||||
\(308\) | 17.7585 | − | 12.7147i | 1.01188 | − | 0.724490i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −4.67305 | − | 5.51008i | −0.265412 | − | 0.312952i | ||||
\(311\) | − | 2.90605i | − | 0.164787i | −0.996600 | − | 0.0823936i | \(-0.973744\pi\) | ||
0.996600 | − | 0.0823936i | \(-0.0262565\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 17.3826i | 0.982525i | 0.871012 | + | 0.491262i | \(0.163464\pi\) | ||||
−0.871012 | + | 0.491262i | \(0.836536\pi\) | |||||||
\(314\) | −26.1995 | + | 22.2196i | −1.47852 | + | 1.25392i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −5.04131 | − | 0.834402i | −0.283596 | − | 0.0469388i | ||||
\(317\) | −1.16003 | + | 1.16003i | −0.0651540 | + | 0.0651540i | −0.738933 | − | 0.673779i | \(-0.764670\pi\) |
0.673779 | + | 0.738933i | \(0.264670\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 15.7950 | 0.884352 | ||||||||
\(320\) | −5.83730 | − | 19.3268i | −0.326315 | − | 1.08040i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −0.369607 | − | 0.0303807i | −0.0205974 | − | 0.00169305i | ||||
\(323\) | 26.2298 | − | 26.2298i | 1.45947 | − | 1.45947i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −2.66394 | − | 2.66394i | −0.147769 | − | 0.147769i | ||||
\(326\) | 6.01736 | − | 5.10327i | 0.333271 | − | 0.282644i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −2.98433 | + | 11.8838i | −0.164782 | + | 0.656171i | ||||
\(329\) | 55.9205i | 3.08300i | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −7.34342 | − | 7.34342i | −0.403631 | − | 0.403631i | 0.475880 | − | 0.879510i | \(-0.342130\pi\) |
−0.879510 | + | 0.475880i | \(0.842130\pi\) | |||||||
\(332\) | 19.7617 | − | 14.1491i | 1.08457 | − | 0.776530i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −1.42472 | + | 17.3329i | −0.0779572 | + | 0.948414i | ||||
\(335\) | 10.3351 | 0.564669 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −10.1328 | −0.551970 | −0.275985 | − | 0.961162i | \(-0.589004\pi\) | ||||
−0.275985 | + | 0.961162i | \(0.589004\pi\) | |||||||
\(338\) | 0.628362 | − | 7.64455i | 0.0341784 | − | 0.415809i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 13.4341 | + | 18.7631i | 0.728565 | + | 1.01757i | ||||
\(341\) | −3.27321 | − | 3.27321i | −0.177254 | − | 0.177254i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 42.0636i | 2.27122i | ||||||||
\(344\) | 3.59133 | + | 5.99996i | 0.193631 | + | 0.323496i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 16.5747 | − | 14.0569i | 0.891061 | − | 0.755701i | ||||
\(347\) | 16.9815 | + | 16.9815i | 0.911617 | + | 0.911617i | 0.996399 | − | 0.0847826i | \(-0.0270196\pi\) |
−0.0847826 | + | 0.996399i | \(0.527020\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 4.45040 | − | 4.45040i | 0.238224 | − | 0.238224i | −0.577890 | − | 0.816115i | \(-0.696124\pi\) |
0.816115 | + | 0.577890i | \(0.196124\pi\) | |||||||
\(350\) | −9.21312 | − | 0.757295i | −0.492462 | − | 0.0404791i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −4.74184 | − | 12.0348i | −0.252741 | − | 0.641457i | ||||
\(353\) | −33.4741 | −1.78164 | −0.890822 | − | 0.454352i | \(-0.849871\pi\) | ||||
−0.890822 | + | 0.454352i | \(0.849871\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 11.6129 | − | 11.6129i | 0.616351 | − | 0.616351i | ||||
\(356\) | 3.30456 | − | 19.9655i | 0.175141 | − | 1.05817i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −1.73822 | + | 1.47417i | −0.0918676 | + | 0.0779121i | ||||
\(359\) | − | 11.5563i | − | 0.609917i | −0.952366 | − | 0.304958i | \(-0.901357\pi\) | ||
0.952366 | − | 0.304958i | \(-0.0986425\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | − | 46.8245i | − | 2.46445i | ||||||
\(362\) | 3.90174 | + | 4.60062i | 0.205071 | + | 0.241803i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 15.3050 | + | 21.3763i | 0.802202 | + | 1.12042i | ||||
\(365\) | −17.4238 | + | 17.4238i | −0.912005 | + | 0.912005i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 0.429107 | 0.0223992 | 0.0111996 | − | 0.999937i | \(-0.496435\pi\) | ||||
0.0111996 | + | 0.999937i | \(0.496435\pi\) | |||||||
\(368\) | −0.0707670 | + | 0.207924i | −0.00368898 | + | 0.0108388i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 1.16857 | − | 14.2167i | 0.0607513 | − | 0.739090i | ||||
\(371\) | 13.9292 | − | 13.9292i | 0.723170 | − | 0.723170i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −12.7715 | − | 12.7715i | −0.661282 | − | 0.661282i | 0.294400 | − | 0.955682i | \(-0.404880\pi\) |
−0.955682 | + | 0.294400i | \(0.904880\pi\) | |||||||
\(374\) | 9.56321 | + | 11.2762i | 0.494502 | + | 0.583076i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 32.1214 | + | 8.06656i | 1.65654 | + | 0.416001i | ||||
\(377\) | 19.0129i | 0.979212i | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −19.2342 | − | 19.2342i | −0.987994 | − | 0.987994i | 0.0119348 | − | 0.999929i | \(-0.496201\pi\) |
−0.999929 | + | 0.0119348i | \(0.996201\pi\) | |||||||
\(380\) | 40.4000 | + | 6.68672i | 2.07247 | + | 0.343022i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −1.99484 | − | 0.163971i | −0.102065 | − | 0.00838949i | ||||
\(383\) | 29.8114 | 1.52329 | 0.761645 | − | 0.647994i | \(-0.224392\pi\) | ||||
0.761645 | + | 0.647994i | \(0.224392\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −27.5593 | −1.40455 | ||||||||
\(386\) | −14.3116 | − | 1.17638i | −0.728441 | − | 0.0598760i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −13.6814 | − | 2.26445i | −0.694567 | − | 0.114960i | ||||
\(389\) | 21.0399 | + | 21.0399i | 1.06676 | + | 1.06676i | 0.997606 | + | 0.0691588i | \(0.0220315\pi\) |
0.0691588 | + | 0.997606i | \(0.477968\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | − | 0.251051i | − | 0.0126962i | ||||||
\(392\) | 43.3646 | + | 10.8900i | 2.19024 | + | 0.550029i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 4.91111 | + | 5.79078i | 0.247418 | + | 0.291735i | ||||
\(395\) | 4.55924 | + | 4.55924i | 0.229400 | + | 0.229400i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 21.3140 | − | 21.3140i | 1.06972 | − | 1.06972i | 0.0723394 | − | 0.997380i | \(-0.476954\pi\) |
0.997380 | − | 0.0723394i | \(-0.0230465\pi\) | |||||||
\(398\) | −1.16544 | + | 14.1786i | −0.0584184 | + | 0.710709i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −1.76400 | + | 5.18289i | −0.0881998 | + | 0.259145i | ||||
\(401\) | −24.4482 | −1.22088 | −0.610442 | − | 0.792061i | \(-0.709008\pi\) | ||||
−0.610442 | + | 0.792061i | \(0.709008\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 3.94004 | − | 3.94004i | 0.196267 | − | 0.196267i | ||||
\(404\) | −8.46281 | − | 11.8199i | −0.421041 | − | 0.588060i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 30.1751 | + | 35.5800i | 1.49756 | + | 1.76580i | ||||
\(407\) | − | 9.13945i | − | 0.453026i | ||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 8.78525i | 0.434402i | 0.976127 | + | 0.217201i | \(0.0696928\pi\) | ||||
−0.976127 | + | 0.217201i | \(0.930307\pi\) | |||||||
\(410\) | 11.7912 | − | 10.0000i | 0.582327 | − | 0.493867i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −1.54962 | + | 9.36250i | −0.0763441 | + | 0.461257i | ||||
\(413\) | 24.3106 | − | 24.3106i | 1.19625 | − | 1.19625i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −30.6681 | −1.50544 | ||||||||
\(416\) | 14.4866 | − | 5.70787i | 0.710262 | − | 0.279851i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 26.1485 | + | 2.14934i | 1.27897 | + | 0.105128i | ||||
\(419\) | −16.8995 | + | 16.8995i | −0.825594 | + | 0.825594i | −0.986904 | − | 0.161310i | \(-0.948428\pi\) |
0.161310 | + | 0.986904i | \(0.448428\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 14.8905 | + | 14.8905i | 0.725718 | + | 0.725718i | 0.969764 | − | 0.244046i | \(-0.0784748\pi\) |
−0.244046 | + | 0.969764i | \(0.578475\pi\) | |||||||
\(422\) | 10.0605 | − | 8.53222i | 0.489737 | − | 0.415342i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −5.99183 | − | 10.0104i | −0.290989 | − | 0.486149i | ||||
\(425\) | − | 6.25790i | − | 0.303553i | ||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −20.6977 | − | 20.6977i | −1.00163 | − | 1.00163i | ||||
\(428\) | −1.87640 | − | 2.62073i | −0.0906992 | − | 0.126678i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0.722826 | − | 8.79377i | 0.0348577 | − | 0.424073i | ||||
\(431\) | 21.7025 | 1.04537 | 0.522685 | − | 0.852526i | \(-0.324930\pi\) | ||||
0.522685 | + | 0.852526i | \(0.324930\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −36.8767 | −1.77218 | −0.886091 | − | 0.463512i | \(-0.846589\pi\) | ||||
−0.886091 | + | 0.463512i | \(0.846589\pi\) | |||||||
\(434\) | 1.12006 | − | 13.6264i | 0.0537645 | − | 0.654089i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 5.85850 | − | 4.19458i | 0.280571 | − | 0.200884i | ||||
\(437\) | −0.315010 | − | 0.315010i | −0.0150690 | − | 0.0150690i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 14.6269i | 0.698103i | 0.937103 | + | 0.349052i | \(0.113496\pi\) | ||||
−0.937103 | + | 0.349052i | \(0.886504\pi\) | |||||||
\(440\) | −3.97544 | + | 15.8304i | −0.189522 | + | 0.754684i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −13.5734 | + | 11.5115i | −0.645620 | + | 0.547545i | ||||
\(443\) | 0.0290852 | + | 0.0290852i | 0.00138188 | + | 0.00138188i | 0.707797 | − | 0.706416i | \(-0.249689\pi\) |
−0.706416 | + | 0.707797i | \(0.749689\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −18.0564 | + | 18.0564i | −0.855954 | + | 0.855954i | ||||
\(446\) | 2.73285 | + | 0.224633i | 0.129404 | + | 0.0106367i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 18.0507 | − | 33.6729i | 0.852817 | − | 1.59090i | ||||
\(449\) | 36.5678 | 1.72574 | 0.862870 | − | 0.505426i | \(-0.168665\pi\) | ||||
0.862870 | + | 0.505426i | \(0.168665\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 7.00445 | − | 7.00445i | 0.329827 | − | 0.329827i | ||||
\(452\) | 18.5410 | + | 3.06877i | 0.872094 | + | 0.144343i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −0.207375 | + | 0.175873i | −0.00973260 | + | 0.00825414i | ||||
\(455\) | − | 33.1737i | − | 1.55521i | ||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 17.6231i | 0.824376i | 0.911099 | + | 0.412188i | \(0.135235\pi\) | ||||
−0.911099 | + | 0.412188i | \(0.864765\pi\) | |||||||
\(458\) | −4.46814 | − | 5.26846i | −0.208782 | − | 0.246179i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0.225338 | − | 0.161338i | 0.0105064 | − | 0.00752243i | ||||
\(461\) | −10.6861 | + | 10.6861i | −0.497703 | + | 0.497703i | −0.910722 | − | 0.413019i | \(-0.864474\pi\) |
0.413019 | + | 0.910722i | \(0.364474\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −15.5271 | −0.721607 | −0.360804 | − | 0.932642i | \(-0.617498\pi\) | ||||
−0.360804 | + | 0.932642i | \(0.617498\pi\) | |||||||
\(464\) | 24.7903 | − | 12.2005i | 1.15086 | − | 0.566394i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 1.70454 | − | 20.7371i | 0.0789612 | − | 0.960629i | ||||
\(467\) | 1.69985 | − | 1.69985i | 0.0786598 | − | 0.0786598i | −0.666682 | − | 0.745342i | \(-0.732286\pi\) |
0.745342 | + | 0.666682i | \(0.232286\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 13.8298 | + | 13.8298i | 0.638602 | + | 0.638602i | ||||
\(470\) | −27.0298 | − | 31.8713i | −1.24679 | − | 1.47011i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −10.4575 | − | 17.4711i | −0.481345 | − | 0.804174i | ||||
\(473\) | − | 5.65324i | − | 0.259936i | ||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −7.85220 | − | 7.85220i | −0.360284 | − | 0.360284i | ||||
\(476\) | −7.13101 | + | 43.0843i | −0.326849 | + | 1.97476i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 9.86199 | + | 0.810630i | 0.451077 | + | 0.0370774i | ||||
\(479\) | −32.1292 | −1.46802 | −0.734009 | − | 0.679139i | \(-0.762353\pi\) | ||||
−0.734009 | + | 0.679139i | \(0.762353\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 11.0014 | 0.501620 | ||||||||
\(482\) | −26.3572 | − | 2.16650i | −1.20054 | − | 0.0986812i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 1.88478 | − | 11.3875i | 0.0856718 | − | 0.517613i | ||||
\(485\) | 12.3731 | + | 12.3731i | 0.561835 | + | 0.561835i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 18.4662i | 0.836784i | 0.908267 | + | 0.418392i | \(0.137406\pi\) | ||||
−0.908267 | + | 0.418392i | \(0.862594\pi\) | |||||||
\(488\) | −14.8747 | + | 8.90336i | −0.673344 | + | 0.403036i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −36.4908 | − | 43.0269i | −1.64849 | − | 1.94376i | ||||
\(491\) | −3.75000 | − | 3.75000i | −0.169235 | − | 0.169235i | 0.617408 | − | 0.786643i | \(-0.288183\pi\) |
−0.786643 | + | 0.617408i | \(0.788183\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −22.3317 | + | 22.3317i | −1.00577 | + | 1.00577i | ||||
\(494\) | −2.58721 | + | 31.4756i | −0.116404 | + | 1.41615i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −7.66562 | − | 2.60899i | −0.344197 | − | 0.117147i | ||||
\(497\) | 31.0794 | 1.39410 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −0.749066 | + | 0.749066i | −0.0335328 | + | 0.0335328i | −0.723674 | − | 0.690142i | \(-0.757548\pi\) |
0.690142 | + | 0.723674i | \(0.257548\pi\) | |||||||
\(500\) | −14.9022 | + | 10.6697i | −0.666446 | + | 0.477163i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −5.91354 | − | 6.97276i | −0.263934 | − | 0.311209i | ||||
\(503\) | − | 25.7573i | − | 1.14846i | −0.818694 | − | 0.574231i | \(-0.805301\pi\) | ||
0.818694 | − | 0.574231i | \(-0.194699\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 18.3432i | 0.816261i | ||||||||
\(506\) | 0.135422 | − | 0.114851i | 0.00602026 | − | 0.00510573i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 33.6467 | + | 5.56897i | 1.49283 | + | 0.247083i | ||||
\(509\) | 5.70060 | − | 5.70060i | 0.252675 | − | 0.252675i | −0.569392 | − | 0.822066i | \(-0.692821\pi\) |
0.822066 | + | 0.569392i | \(0.192821\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −46.6309 | −2.06283 | ||||||||
\(512\) | −16.7383 | − | 15.2259i | −0.739737 | − | 0.672896i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −37.0639 | − | 3.04656i | −1.63482 | − | 0.134378i | ||||
\(515\) | 8.46723 | − | 8.46723i | 0.373111 | − | 0.373111i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −18.9328 | − | 18.9328i | −0.832664 | − | 0.832664i | ||||
\(518\) | 20.5876 | − | 17.4602i | 0.904566 | − | 0.767155i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −19.0554 | − | 4.78533i | −0.835635 | − | 0.209851i | ||||
\(521\) | 2.37173i | 0.103907i | 0.998649 | + | 0.0519537i | \(0.0165448\pi\) | ||||
−0.998649 | + | 0.0519537i | \(0.983455\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −18.0719 | − | 18.0719i | −0.790230 | − | 0.790230i | 0.191301 | − | 0.981531i | \(-0.438729\pi\) |
−0.981531 | + | 0.191301i | \(0.938729\pi\) | |||||||
\(524\) | −21.4870 | + | 15.3843i | −0.938663 | + | 0.672066i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −3.42457 | + | 41.6627i | −0.149318 | + | 1.81658i | ||||
\(527\) | 9.25559 | 0.403180 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 22.9970 | 0.999869 | ||||||||
\(530\) | −1.20597 | + | 14.6717i | −0.0523842 | + | 0.637297i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 45.1129 | + | 63.0084i | 1.95589 | + | 2.73176i | ||||
\(533\) | 8.43142 | + | 8.43142i | 0.365205 | + | 0.365205i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 4.06711i | 0.175836i | ||||||||
\(536\) | 9.93899 | − | 5.94907i | 0.429299 | − | 0.256961i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 10.4071 | − | 8.82619i | 0.448683 | − | 0.380524i | ||||
\(539\) | −25.5597 | − | 25.5597i | −1.10093 | − | 1.10093i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −19.8404 | + | 19.8404i | −0.853006 | + | 0.853006i | −0.990502 | − | 0.137496i | \(-0.956095\pi\) |
0.137496 | + | 0.990502i | \(0.456095\pi\) | |||||||
\(542\) | −4.62581 | − | 0.380229i | −0.198695 | − | 0.0163323i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 23.7195 | + | 10.3111i | 1.01696 | + | 0.442084i | ||||
\(545\) | −9.09178 | −0.389449 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 20.6820 | − | 20.6820i | 0.884300 | − | 0.884300i | −0.109668 | − | 0.993968i | \(-0.534979\pi\) |
0.993968 | + | 0.109668i | \(0.0349788\pi\) | |||||||
\(548\) | 2.52598 | − | 15.2615i | 0.107904 | − | 0.651938i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 3.37565 | − | 2.86286i | 0.143938 | − | 0.122073i | ||||
\(551\) | 56.0420i | 2.38747i | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 12.2018i | 0.518872i | ||||||||
\(554\) | 15.4557 | + | 18.2241i | 0.656651 | + | 0.774269i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 1.49424 | + | 2.08698i | 0.0633699 | + | 0.0885076i | ||||
\(557\) | −6.06679 | + | 6.06679i | −0.257058 | + | 0.257058i | −0.823857 | − | 0.566798i | \(-0.808182\pi\) |
0.566798 | + | 0.823857i | \(0.308182\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 6.80494 | 0.287818 | ||||||||
\(560\) | −43.2543 | + | 21.2875i | −1.82783 | + | 0.899562i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −3.65117 | + | 44.4196i | −0.154015 | + | 1.87373i | ||||
\(563\) | −19.2415 | + | 19.2415i | −0.810933 | + | 0.810933i | −0.984774 | − | 0.173841i | \(-0.944382\pi\) |
0.173841 | + | 0.984774i | \(0.444382\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −16.7680 | − | 16.7680i | −0.705436 | − | 0.705436i | ||||
\(566\) | −25.0082 | − | 29.4876i | −1.05117 | − | 1.23946i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 4.48322 | − | 17.8524i | 0.188112 | − | 0.749070i | ||||
\(569\) | 17.7984i | 0.746147i | 0.927802 | + | 0.373073i | \(0.121696\pi\) | ||||
−0.927802 | + | 0.373073i | \(0.878304\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −2.48654 | − | 2.48654i | −0.104058 | − | 0.104058i | 0.653161 | − | 0.757219i | \(-0.273443\pi\) |
−0.757219 | + | 0.653161i | \(0.773443\pi\) | |||||||
\(572\) | −12.4191 | − | 2.05552i | −0.519268 | − | 0.0859456i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 29.1597 | + | 2.39685i | 1.21710 | + | 0.100043i | ||||
\(575\) | −0.0751551 | −0.00313418 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 26.8106 | 1.11614 | 0.558070 | − | 0.829794i | \(-0.311542\pi\) | ||||
0.558070 | + | 0.829794i | \(0.311542\pi\) | |||||||
\(578\) | −5.50274 | − | 0.452311i | −0.228884 | − | 0.0188136i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −34.3959 | − | 5.69298i | −1.42821 | − | 0.236388i | ||||
\(581\) | −41.0382 | − | 41.0382i | −1.70255 | − | 1.70255i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 9.43196i | 0.390632i | ||||||||
\(584\) | −6.72653 | + | 26.7854i | −0.278346 | + | 1.10839i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 16.6058 | + | 19.5802i | 0.685979 | + | 0.808851i | ||||
\(587\) | −9.36505 | − | 9.36505i | −0.386537 | − | 0.386537i | 0.486913 | − | 0.873450i | \(-0.338123\pi\) |
−0.873450 | + | 0.486913i | \(0.838123\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 11.6136 | − | 11.6136i | 0.478530 | − | 0.478530i | ||||
\(590\) | −2.10478 | + | 25.6064i | −0.0866523 | + | 1.05420i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −7.05956 | − | 14.3444i | −0.290146 | − | 0.589551i | ||||
\(593\) | −0.951289 | −0.0390648 | −0.0195324 | − | 0.999809i | \(-0.506218\pi\) | ||||
−0.0195324 | + | 0.999809i | \(0.506218\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 38.9644 | − | 38.9644i | 1.59739 | − | 1.59739i | ||||
\(596\) | −13.1876 | − | 18.4188i | −0.540183 | − | 0.754465i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0.138248 | + | 0.163011i | 0.00565339 | + | 0.00666602i | ||||
\(599\) | 8.25825i | 0.337423i | 0.985665 | + | 0.168711i | \(0.0539606\pi\) | ||||
−0.985665 | + | 0.168711i | \(0.946039\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | − | 38.9645i | − | 1.58940i | −0.607005 | − | 0.794698i | \(-0.707629\pi\) | ||
0.607005 | − | 0.794698i | \(-0.292371\pi\) | |||||||
\(602\) | 12.7345 | − | 10.8000i | 0.519020 | − | 0.440176i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 5.79306 | − | 35.0006i | 0.235716 | − | 1.42416i | ||||
\(605\) | −10.2986 | + | 10.2986i | −0.418697 | + | 0.418697i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −0.766686 | −0.0311188 | −0.0155594 | − | 0.999879i | \(-0.504953\pi\) | ||||
−0.0155594 | + | 0.999879i | \(0.504953\pi\) | |||||||
\(608\) | 42.7004 | − | 16.8244i | 1.73173 | − | 0.682321i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 21.8009 | + | 1.79198i | 0.882692 | + | 0.0725550i | ||||
\(611\) | 22.7899 | − | 22.7899i | 0.921980 | − | 0.921980i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −17.1693 | − | 17.1693i | −0.693461 | − | 0.693461i | 0.269531 | − | 0.962992i | \(-0.413131\pi\) |
−0.962992 | + | 0.269531i | \(0.913131\pi\) | |||||||
\(614\) | 11.6501 | − | 9.88036i | 0.470160 | − | 0.398739i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −26.5029 | + | 15.8635i | −1.06783 | + | 0.639160i | ||||
\(617\) | 19.3721i | 0.779890i | 0.920838 | + | 0.389945i | \(0.127506\pi\) | ||||
−0.920838 | + | 0.389945i | \(0.872494\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 21.2390 | + | 21.2390i | 0.853667 | + | 0.853667i | 0.990583 | − | 0.136916i | \(-0.0437190\pi\) |
−0.136916 | + | 0.990583i | \(0.543719\pi\) | |||||||
\(620\) | 5.94812 | + | 8.30763i | 0.238882 | + | 0.333643i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −0.336678 | + | 4.09597i | −0.0134996 | + | 0.164233i | ||||
\(623\) | −48.3238 | −1.93605 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 29.9702 | 1.19881 | ||||||||
\(626\) | 2.01385 | − | 24.5001i | 0.0804895 | − | 0.979222i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 39.5014 | − | 28.2823i | 1.57628 | − | 1.12859i | ||||
\(629\) | 12.9217 | + | 12.9217i | 0.515223 | + | 0.515223i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | − | 10.6793i | − | 0.425137i | −0.977146 | − | 0.212568i | \(-0.931817\pi\) | ||
0.977146 | − | 0.212568i | \(-0.0681828\pi\) | |||||||
\(632\) | 7.00885 | + | 1.76011i | 0.278797 | + | 0.0700135i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 1.76942 | − | 1.50063i | 0.0702725 | − | 0.0595975i | ||||
\(635\) | −30.4293 | − | 30.4293i | −1.20755 | − | 1.20755i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 30.7668 | − | 30.7668i | 1.21903 | − | 1.21903i | ||||
\(638\) | −22.2625 | − | 1.82992i | −0.881380 | − | 0.0724471i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 5.98836 | + | 27.9166i | 0.236711 | + | 1.10350i | ||||
\(641\) | 14.7990 | 0.584526 | 0.292263 | − | 0.956338i | \(-0.405592\pi\) | ||||
0.292263 | + | 0.956338i | \(0.405592\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −33.5447 | + | 33.5447i | −1.32287 | + | 1.32287i | −0.411432 | + | 0.911441i | \(0.634971\pi\) |
−0.911441 | + | 0.411432i | \(0.865029\pi\) | |||||||
\(644\) | 0.517426 | + | 0.0856408i | 0.0203894 | + | 0.00337472i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −40.0087 | + | 33.9310i | −1.57412 | + | 1.33500i | ||||
\(647\) | 37.2920i | 1.46610i | 0.680174 | + | 0.733051i | \(0.261904\pi\) | ||||
−0.680174 | + | 0.733051i | \(0.738096\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 16.4615i | 0.646171i | ||||||||
\(650\) | 3.44609 | + | 4.06335i | 0.135167 | + | 0.159378i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −9.07246 | + | 6.49572i | −0.355305 | + | 0.254392i | ||||
\(653\) | −22.8982 | + | 22.8982i | −0.896075 | + | 0.896075i | −0.995086 | − | 0.0990113i | \(-0.968432\pi\) |
0.0990113 | + | 0.995086i | \(0.468432\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 33.3455 | 1.30292 | ||||||||
\(656\) | 5.58308 | − | 16.4039i | 0.217983 | − | 0.640466i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 6.47861 | − | 78.8177i | 0.252563 | − | 3.07263i | ||||
\(659\) | 9.53009 | − | 9.53009i | 0.371239 | − | 0.371239i | −0.496689 | − | 0.867929i | \(-0.665451\pi\) |
0.867929 | + | 0.496689i | \(0.165451\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −5.40368 | − | 5.40368i | −0.210179 | − | 0.210179i | 0.594165 | − | 0.804343i | \(-0.297483\pi\) |
−0.804343 | + | 0.594165i | \(0.797483\pi\) | |||||||
\(662\) | 9.49949 | + | 11.2010i | 0.369208 | + | 0.435340i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −29.4926 | + | 17.6531i | −1.14454 | + | 0.685071i | ||||
\(665\) | − | 97.7825i | − | 3.79184i | ||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0.268195 | + | 0.268195i | 0.0103845 | + | 0.0103845i | ||||
\(668\) | 4.01617 | − | 24.2650i | 0.155390 | − | 0.938840i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −14.5670 | − | 1.19737i | −0.562771 | − | 0.0462583i | ||||
\(671\) | 14.0151 | 0.541047 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 36.0565 | 1.38988 | 0.694939 | − | 0.719069i | \(-0.255432\pi\) | ||||
0.694939 | + | 0.719069i | \(0.255432\pi\) | |||||||
\(674\) | 14.2818 | + | 1.17393i | 0.550115 | + | 0.0452180i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −1.77130 | + | 10.7019i | −0.0681270 | + | 0.411611i | ||||
\(677\) | −20.3823 | − | 20.3823i | −0.783357 | − | 0.783357i | 0.197038 | − | 0.980396i | \(-0.436868\pi\) |
−0.980396 | + | 0.197038i | \(0.936868\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 33.1139i | 1.27079i | ||||||||
\(680\) | −16.7610 | − | 28.0023i | −0.642756 | − | 1.07384i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 4.23424 | + | 4.99267i | 0.162137 | + | 0.191179i | ||||
\(683\) | 34.0116 | + | 34.0116i | 1.30142 | + | 1.30142i | 0.927436 | + | 0.373981i | \(0.122007\pi\) |
0.373981 | + | 0.927436i | \(0.377993\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −13.8021 | + | 13.8021i | −0.527352 | + | 0.527352i | ||||
\(686\) | 4.87324 | − | 59.2870i | 0.186061 | − | 2.26359i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −4.36671 | − | 8.87277i | −0.166479 | − | 0.338271i | ||||
\(689\) | −11.3535 | −0.432533 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 19.5942 | − | 19.5942i | 0.745400 | − | 0.745400i | −0.228212 | − | 0.973612i | \(-0.573288\pi\) |
0.973612 | + | 0.228212i | \(0.0732878\pi\) | |||||||
\(692\) | −24.9899 | + | 17.8923i | −0.949973 | + | 0.680164i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −21.9674 | − | 25.9022i | −0.833872 | − | 0.983233i | ||||
\(695\) | − | 3.23877i | − | 0.122854i | ||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 19.8064i | 0.750220i | ||||||||
\(698\) | −6.78825 | + | 5.75706i | −0.256939 | + | 0.217908i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 12.8978 | + | 2.13475i | 0.487491 | + | 0.0806861i | ||||
\(701\) | −2.97652 | + | 2.97652i | −0.112422 | + | 0.112422i | −0.761080 | − | 0.648658i | \(-0.775330\pi\) |
0.648658 | + | 0.761080i | \(0.275330\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 32.4275 | 1.22303 | ||||||||
\(704\) | 5.28916 | + | 17.5119i | 0.199343 | + | 0.660005i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 47.1804 | + | 3.87810i | 1.77566 | + | 0.145954i | ||||
\(707\) | −24.5457 | + | 24.5457i | −0.923136 | + | 0.923136i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −28.1306 | − | 28.1306i | −1.05647 | − | 1.05647i | −0.998307 | − | 0.0581584i | \(-0.981477\pi\) |
−0.0581584 | − | 0.998307i | \(-0.518523\pi\) | |||||||
\(710\) | −17.7134 | + | 15.0226i | −0.664772 | + | 0.563787i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −6.97073 | + | 27.7578i | −0.261239 | + | 1.04027i | ||||
\(713\) | − | 0.111156i | − | 0.00416283i | ||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 11.2315 | + | 11.2315i | 0.420035 | + | 0.420035i | ||||
\(716\) | 2.62073 | − | 1.87640i | 0.0979415 | − | 0.0701244i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −1.33884 | + | 16.2881i | −0.0499651 | + | 0.607866i | ||||
\(719\) | 40.0816 | 1.49479 | 0.747396 | − | 0.664379i | \(-0.231304\pi\) | ||||
0.747396 | + | 0.664379i | \(0.231304\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 22.6606 | 0.843926 | ||||||||
\(722\) | −5.42480 | + | 65.9973i | −0.201890 | + | 2.45616i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −4.96635 | − | 6.93642i | −0.184573 | − | 0.257790i | ||||
\(725\) | 6.68525 | + | 6.68525i | 0.248284 | + | 0.248284i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 26.2537i | 0.973696i | 0.873487 | + | 0.486848i | \(0.161853\pi\) | ||||
−0.873487 | + | 0.486848i | \(0.838147\pi\) | |||||||
\(728\) | −19.0953 | − | 31.9022i | −0.707720 | − | 1.18237i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 26.5768 | − | 22.5396i | 0.983652 | − | 0.834227i | ||||
\(731\) | 7.99278 | + | 7.99278i | 0.295624 | + | 0.295624i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −21.3204 | + | 21.3204i | −0.787488 | + | 0.787488i | −0.981082 | − | 0.193594i | \(-0.937986\pi\) |
0.193594 | + | 0.981082i | \(0.437986\pi\) | |||||||
\(734\) | −0.604809 | − | 0.0497137i | −0.0223239 | − | 0.00183497i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0.123832 | − | 0.284862i | 0.00456451 | − | 0.0105002i | ||||
\(737\) | −9.36464 | −0.344951 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 7.69784 | − | 7.69784i | 0.283170 | − | 0.283170i | −0.551202 | − | 0.834372i | \(-0.685831\pi\) |
0.834372 | + | 0.551202i | \(0.185831\pi\) | |||||||
\(740\) | −3.29412 | + | 19.9025i | −0.121094 | + | 0.731629i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −21.2465 | + | 18.0190i | −0.779982 | + | 0.661497i | ||||
\(743\) | 44.2909i | 1.62488i | 0.583047 | + | 0.812438i | \(0.301860\pi\) | ||||
−0.583047 | + | 0.812438i | \(0.698140\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 28.5841i | 1.04724i | ||||||||
\(746\) | 16.5213 | + | 19.4805i | 0.604886 | + | 0.713232i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −12.1726 | − | 17.0012i | −0.445074 | − | 0.621627i | ||||
\(749\) | −5.44234 | + | 5.44234i | −0.198859 | + | 0.198859i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −26.5577 | −0.969102 | −0.484551 | − | 0.874763i | \(-0.661017\pi\) | ||||
−0.484551 | + | 0.874763i | \(0.661017\pi\) | |||||||
\(752\) | −44.3393 | − | 15.0909i | −1.61689 | − | 0.550308i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 2.20271 | − | 26.7979i | 0.0802181 | − | 0.975920i | ||||
\(755\) | −31.6538 | + | 31.6538i | −1.15200 | + | 1.15200i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −0.900800 | − | 0.900800i | −0.0327401 | − | 0.0327401i | 0.690547 | − | 0.723287i | \(-0.257370\pi\) |
−0.723287 | + | 0.690547i | \(0.757370\pi\) | |||||||
\(758\) | 24.8815 | + | 29.3382i | 0.903736 | + | 1.06561i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −56.1675 | − | 14.1052i | −2.03741 | − | 0.511648i | ||||
\(761\) | 3.79604i | 0.137606i | 0.997630 | + | 0.0688031i | \(0.0219180\pi\) | ||||
−0.997630 | + | 0.0688031i | \(0.978082\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −12.1660 | − | 12.1660i | −0.440440 | − | 0.440440i | ||||
\(764\) | 2.79266 | + | 0.462221i | 0.101035 | + | 0.0167226i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −42.0180 | − | 3.45377i | −1.51817 | − | 0.124790i | ||||
\(767\) | −19.8151 | −0.715483 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 15.1181 | 0.545174 | 0.272587 | − | 0.962131i | \(-0.412121\pi\) | ||||
0.272587 | + | 0.962131i | \(0.412121\pi\) | |||||||
\(770\) | 38.8437 | + | 3.19285i | 1.39983 | + | 0.115062i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 20.0353 | + | 3.31611i | 0.721088 | + | 0.119349i | ||||
\(773\) | −15.6773 | − | 15.6773i | −0.563875 | − | 0.563875i | 0.366531 | − | 0.930406i | \(-0.380545\pi\) |
−0.930406 | + | 0.366531i | \(0.880545\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | − | 2.77077i | − | 0.0995290i | ||||||
\(776\) | 19.0210 | + | 4.77669i | 0.682815 | + | 0.171473i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −27.2173 | − | 32.0924i | −0.975788 | − | 1.15057i | ||||
\(779\) | 24.8523 | + | 24.8523i | 0.890428 | + | 0.890428i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −10.5225 | + | 10.5225i | −0.376523 | + | 0.376523i | ||||
\(782\) | −0.0290852 | + | 0.353846i | −0.00104009 | + | 0.0126535i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −59.8590 | − | 20.3730i | −2.13782 | − | 0.727608i | ||||
\(785\) | −61.3020 | −2.18796 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 3.20620 | − | 3.20620i | 0.114289 | − | 0.114289i | −0.647650 | − | 0.761938i | \(-0.724248\pi\) |
0.761938 | + | 0.647650i | \(0.224248\pi\) | |||||||
\(788\) | −6.25113 | − | 8.73084i | −0.222687 | − | 0.311023i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −5.89786 | − | 6.95428i | −0.209837 | − | 0.247422i | ||||
\(791\) | − | 44.8758i | − | 1.59560i | ||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 16.8703i | 0.599082i | ||||||||
\(794\) | −32.5106 | + | 27.5719i | −1.15376 | + | 0.978491i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 3.28529 | − | 19.8491i | 0.116444 | − | 0.703534i | ||||
\(797\) | 23.8504 | − | 23.8504i | 0.844825 | − | 0.844825i | −0.144657 | − | 0.989482i | \(-0.546208\pi\) |
0.989482 | + | 0.144657i | \(0.0462078\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 53.5360 | 1.89397 | ||||||||
\(800\) | 3.08674 | − | 7.10071i | 0.109133 | − | 0.251048i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 34.4587 | + | 2.83242i | 1.21678 | + | 0.100016i | ||||
\(803\) | 15.7877 | − | 15.7877i | 0.557135 | − | 0.557135i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −0.467948 | − | 0.467948i | −0.0164930 | − | 0.0164930i | ||||
\(806\) | −6.00979 | + | 5.09686i | −0.211686 | + | 0.179529i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 10.5586 | + | 17.6401i | 0.371451 | + | 0.620576i | ||||
\(809\) | 0.0416430i | 0.00146409i | 1.00000 | 0.000732045i | \(0.000233017\pi\) | |||||
−1.00000 | 0.000732045i | \(0.999767\pi\) | ||||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 20.2999 | + | 20.2999i | 0.712827 | + | 0.712827i | 0.967126 | − | 0.254299i | \(-0.0818446\pi\) |
−0.254299 | + | 0.967126i | \(0.581845\pi\) | |||||||
\(812\) | −38.4085 | − | 53.6444i | −1.34787 | − | 1.88255i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −1.05884 | + | 12.8817i | −0.0371124 | + | 0.451503i | ||||
\(815\) | 14.0795 | 0.493184 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 20.0581 | 0.701745 | ||||||||
\(818\) | 1.01781 | − | 12.3825i | 0.0355867 | − | 0.432942i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −17.7778 | + | 12.7286i | −0.620828 | + | 0.444502i | ||||
\(821\) | −6.87984 | − | 6.87984i | −0.240108 | − | 0.240108i | 0.576787 | − | 0.816895i | \(-0.304306\pi\) |
−0.816895 | + | 0.576787i | \(0.804306\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 16.9089i | 0.589407i | 0.955589 | + | 0.294704i | \(0.0952209\pi\) | ||||
−0.955589 | + | 0.294704i | \(0.904779\pi\) | |||||||
\(824\) | 3.26881 | − | 13.0165i | 0.113874 | − | 0.453453i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −37.0813 | + | 31.4483i | −1.29022 | + | 1.09423i | ||||
\(827\) | −25.6816 | − | 25.6816i | −0.893038 | − | 0.893038i | 0.101770 | − | 0.994808i | \(-0.467550\pi\) |
−0.994808 | + | 0.101770i | \(0.967550\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −6.78542 | + | 6.78542i | −0.235667 | + | 0.235667i | −0.815053 | − | 0.579386i | \(-0.803292\pi\) |
0.579386 | + | 0.815053i | \(0.303292\pi\) | |||||||
\(830\) | 43.2255 | + | 3.55303i | 1.50038 | + | 0.123327i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −21.0795 | + | 6.36669i | −0.730801 | + | 0.220725i | ||||
\(833\) | 72.2747 | 2.50417 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −21.9447 | + | 21.9447i | −0.759427 | + | 0.759427i | ||||
\(836\) | −36.6063 | − | 6.05882i | −1.26606 | − | 0.209549i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 25.7770 | − | 21.8613i | 0.890452 | − | 0.755185i | ||||
\(839\) | 27.1441i | 0.937119i | 0.883432 | + | 0.468559i | \(0.155227\pi\) | ||||
−0.883432 | + | 0.468559i | \(0.844773\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | − | 18.7133i | − | 0.645288i | ||||||
\(842\) | −19.2624 | − | 22.7127i | −0.663827 | − | 0.782730i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −15.1683 | + | 10.8603i | −0.522116 | + | 0.373826i | ||||
\(845\) | 9.67854 | − | 9.67854i | 0.332952 | − | 0.332952i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −27.5618 | −0.947036 | ||||||||
\(848\) | 7.28550 | + | 14.8035i | 0.250185 | + | 0.508354i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −0.725003 | + | 8.82027i | −0.0248674 | + | 0.302533i | ||||
\(851\) | 0.155185 | − | 0.155185i | 0.00531968 | − | 0.00531968i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −15.0466 | − | 15.0466i | −0.515186 | − | 0.515186i | 0.400925 | − | 0.916111i | \(-0.368689\pi\) |
−0.916111 | + | 0.400925i | \(0.868689\pi\) | |||||||
\(854\) | 26.7747 | + | 31.5705i | 0.916210 | + | 1.08032i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 2.34109 | + | 3.91121i | 0.0800168 | + | 0.133682i | ||||
\(857\) | − | 47.1788i | − | 1.61160i | −0.592190 | − | 0.805798i | \(-0.701736\pi\) | ||
0.592190 | − | 0.805798i | \(-0.298264\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −11.1674 | − | 11.1674i | −0.381027 | − | 0.381027i | 0.490445 | − | 0.871472i | \(-0.336834\pi\) |
−0.871472 | + | 0.490445i | \(0.836834\pi\) | |||||||
\(860\) | −2.03759 | + | 12.3107i | −0.0694812 | + | 0.419793i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −30.5888 | − | 2.51432i | −1.04186 | − | 0.0856380i | ||||
\(863\) | −5.49973 | −0.187213 | −0.0936065 | − | 0.995609i | \(-0.529840\pi\) | ||||
−0.0936065 | + | 0.995609i | \(0.529840\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 38.7817 | 1.31862 | ||||||||
\(866\) | 51.9763 | + | 4.27231i | 1.76623 | + | 0.145179i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −3.15735 | + | 19.0761i | −0.107167 | + | 0.647486i | ||||
\(869\) | −4.13112 | − | 4.13112i | −0.140139 | − | 0.140139i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | − | 11.2724i | − | 0.381952i | ||||||
\(872\) | −8.74328 | + | 5.23337i | −0.296085 | + | 0.177224i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 0.407499 | + | 0.480489i | 0.0137839 | + | 0.0162528i | ||||
\(875\) | 30.9466 | + | 30.9466i | 1.04619 | + | 1.04619i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 3.57280 | − | 3.57280i | 0.120645 | − | 0.120645i | −0.644207 | − | 0.764852i | \(-0.722812\pi\) |
0.764852 | + | 0.644207i | \(0.222812\pi\) | |||||||
\(878\) | 1.69458 | − | 20.6160i | 0.0571894 | − | 0.695757i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 7.43724 | − | 21.8517i | 0.250709 | − | 0.736622i | ||||
\(881\) | −5.28112 | −0.177925 | −0.0889627 | − | 0.996035i | \(-0.528355\pi\) | ||||
−0.0889627 | + | 0.996035i | \(0.528355\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −20.7335 | + | 20.7335i | −0.697736 | + | 0.697736i | −0.963922 | − | 0.266185i | \(-0.914237\pi\) |
0.266185 | + | 0.963922i | \(0.414237\pi\) | |||||||
\(884\) | 20.4648 | − | 14.6524i | 0.688305 | − | 0.492814i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −0.0376248 | − | 0.0443641i | −0.00126403 | − | 0.00149044i | ||||
\(887\) | 5.09406i | 0.171042i | 0.996336 | + | 0.0855208i | \(0.0272554\pi\) | ||||
−0.996336 | + | 0.0855208i | \(0.972745\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | − | 81.4372i | − | 2.73132i | ||||||
\(890\) | 27.5416 | − | 23.3578i | 0.923198 | − | 0.782956i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −3.82582 | − | 0.633223i | −0.128098 | − | 0.0212019i | ||||
\(893\) | 67.1751 | − | 67.1751i | 2.24793 | − | 2.24793i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −4.06711 | −0.135948 | ||||||||
\(896\) | −29.3429 | + | 45.3694i | −0.980279 | + | 1.51569i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −51.5408 | − | 4.23652i | −1.71994 | − | 0.141375i | ||||
\(899\) | −9.88764 | + | 9.88764i | −0.329771 | + | 0.329771i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −13.3353 | − | 13.3353i | −0.444263 | − | 0.444263i | ||||
\(902\) | −10.6840 | + | 9.06100i | −0.355738 | + | 0.301698i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −25.7772 | − | 6.47336i | −0.857338 | − | 0.215301i | ||||
\(905\) | 10.7646i | 0.357827i | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 10.3597 | + | 10.3597i | 0.343987 | + | 0.343987i | 0.857864 | − | 0.513877i | \(-0.171791\pi\) |
−0.513877 | + | 0.857864i | \(0.671791\pi\) | |||||||
\(908\) | 0.312663 | − | 0.223861i | 0.0103761 | − | 0.00742909i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −3.84331 | + | 46.7571i | −0.127404 | + | 1.54998i | ||||
\(911\) | 20.8084 | 0.689413 | 0.344706 | − | 0.938711i | \(-0.387978\pi\) | ||||
0.344706 | + | 0.938711i | \(0.387978\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 27.7883 | 0.919659 | ||||||||
\(914\) | 2.04171 | − | 24.8391i | 0.0675338 | − | 0.821605i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 5.68729 | + | 7.94334i | 0.187913 | + | 0.262455i | ||||
\(917\) | 44.6209 | + | 44.6209i | 1.47351 | + | 1.47351i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | − | 28.7774i | − | 0.949280i | −0.880180 | − | 0.474640i | \(-0.842578\pi\) | ||
0.880180 | − | 0.474640i | \(-0.157422\pi\) | |||||||
\(920\) | −0.336297 | + | 0.201293i | −0.0110874 | + | 0.00663645i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 16.2997 | − | 13.8236i | 0.536802 | − | 0.455257i | ||||
\(923\) | −12.6661 | − | 12.6661i | −0.416911 | − | 0.416911i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 3.86828 | − | 3.86828i | 0.127188 | − | 0.127188i | ||||
\(926\) | 21.8849 | + | 1.79888i | 0.719182 | + | 0.0591149i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −36.3545 | + | 14.3241i | −1.19339 | + | 0.470211i | ||||
\(929\) | 57.3646 | 1.88207 | 0.941035 | − | 0.338309i | \(-0.109855\pi\) | ||||
0.941035 | + | 0.338309i | \(0.109855\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 90.6878 | − | 90.6878i | 2.97217 | − | 2.97217i | ||||
\(932\) | −4.80496 | + | 29.0307i | −0.157392 | + | 0.950931i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −2.59281 | + | 2.19894i | −0.0848393 | + | 0.0719515i | ||||
\(935\) | 26.3841i | 0.862853i | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 53.0719i | 1.73378i | 0.498495 | + | 0.866892i | \(0.333886\pi\) | ||||
−0.498495 | + | 0.866892i | \(0.666114\pi\) | |||||||
\(938\) | −17.8904 | − | 21.0948i | −0.584141 | − | 0.688771i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 34.4050 | + | 48.0528i | 1.12217 | + | 1.56731i | ||||
\(941\) | 21.3060 | − | 21.3060i | 0.694555 | − | 0.694555i | −0.268675 | − | 0.963231i | \(-0.586586\pi\) |
0.963231 | + | 0.268675i | \(0.0865859\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 0.237867 | 0.00774601 | ||||||||
\(944\) | 12.7153 | + | 25.8364i | 0.413849 | + | 0.840903i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −0.654950 | + | 7.96801i | −0.0212943 | + | 0.259062i | ||||
\(947\) | −4.14066 | + | 4.14066i | −0.134554 | + | 0.134554i | −0.771176 | − | 0.636622i | \(-0.780331\pi\) |
0.636622 | + | 0.771176i | \(0.280331\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 19.0040 | + | 19.0040i | 0.616896 | + | 0.616896i | ||||
\(950\) | 10.1577 | + | 11.9771i | 0.329558 | + | 0.388588i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 15.0424 | − | 59.8994i | 0.487526 | − | 1.94135i | ||||
\(953\) | 18.2687i | 0.591783i | 0.955222 | + | 0.295891i | \(0.0956167\pi\) | ||||
−0.955222 | + | 0.295891i | \(0.904383\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −2.52561 | − | 2.52561i | −0.0817269 | − | 0.0817269i | ||||
\(956\) | −13.8062 | − | 2.28510i | −0.446523 | − | 0.0739055i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 45.2848 | + | 3.72229i | 1.46308 | + | 0.120262i | ||||
\(959\) | −36.9383 | −1.19280 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −26.9020 | −0.867805 | ||||||||
\(962\) | −15.5060 | − | 1.27455i | −0.499933 | − | 0.0410932i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 36.8985 | + | 6.10718i | 1.18842 | + | 0.196699i | ||||
\(965\) | −18.1195 | − | 18.1195i | −0.583287 | − | 0.583287i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 23.2449i | 0.747505i | 0.927528 | + | 0.373753i | \(0.121929\pi\) | ||||
−0.927528 | + | 0.373753i | \(0.878071\pi\) | |||||||
\(968\) | −3.97581 | + | 15.8319i | −0.127787 | + | 0.508855i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −16.0060 | − | 18.8729i | −0.513920 | − | 0.605972i | ||||
\(971\) | 30.9576 | + | 30.9576i | 0.993477 | + | 0.993477i | 0.999979 | − | 0.00650176i | \(-0.00206959\pi\) |
−0.00650176 | + | 0.999979i | \(0.502070\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 4.33392 | − | 4.33392i | 0.138939 | − | 0.138939i | ||||
\(974\) | 2.13938 | − | 26.0274i | 0.0685503 | − | 0.833972i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 21.9967 | − | 10.8256i | 0.704098 | − | 0.346520i | ||||
\(977\) | 6.57724 | 0.210425 | 0.105212 | − | 0.994450i | \(-0.466448\pi\) | ||||
0.105212 | + | 0.994450i | \(0.466448\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 16.3608 | − | 16.3608i | 0.522894 | − | 0.522894i | ||||
\(980\) | 46.4475 | + | 64.8724i | 1.48371 | + | 2.07227i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 4.85102 | + | 5.71993i | 0.154802 | + | 0.182530i | ||||
\(983\) | − | 13.4270i | − | 0.428256i | −0.976806 | − | 0.214128i | \(-0.931309\pi\) | ||
0.976806 | − | 0.214128i | \(-0.0686909\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 13.5494i | 0.431718i | ||||||||
\(986\) | 34.0628 | − | 28.8884i | 1.08478 | − | 0.919993i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 7.29315 | − | 44.0639i | 0.232026 | − | 1.40186i | ||||
\(989\) | 0.0959903 | − | 0.0959903i | 0.00305231 | − | 0.00305231i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −32.8217 | −1.04261 | −0.521307 | − | 0.853369i | \(-0.674556\pi\) | ||||
−0.521307 | + | 0.853369i | \(0.674556\pi\) | |||||||
\(992\) | 10.5021 | + | 4.56536i | 0.333443 | + | 0.144950i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −43.8052 | − | 3.60067i | −1.38942 | − | 0.114206i | ||||
\(995\) | −17.9511 | + | 17.9511i | −0.569089 | + | 0.569089i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −9.52294 | − | 9.52294i | −0.301595 | − | 0.301595i | 0.540043 | − | 0.841638i | \(-0.318408\pi\) |
−0.841638 | + | 0.540043i | \(0.818408\pi\) | |||||||
\(998\) | 1.14256 | − | 0.968996i | 0.0361671 | − | 0.0306730i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 432.2.k.c.325.1 | yes | 24 | |
3.2 | odd | 2 | inner | 432.2.k.c.325.12 | yes | 24 | |
4.3 | odd | 2 | 1728.2.k.c.433.4 | 24 | |||
12.11 | even | 2 | 1728.2.k.c.433.9 | 24 | |||
16.3 | odd | 4 | 1728.2.k.c.1297.4 | 24 | |||
16.13 | even | 4 | inner | 432.2.k.c.109.1 | ✓ | 24 | |
48.29 | odd | 4 | inner | 432.2.k.c.109.12 | yes | 24 | |
48.35 | even | 4 | 1728.2.k.c.1297.9 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
432.2.k.c.109.1 | ✓ | 24 | 16.13 | even | 4 | inner | |
432.2.k.c.109.12 | yes | 24 | 48.29 | odd | 4 | inner | |
432.2.k.c.325.1 | yes | 24 | 1.1 | even | 1 | trivial | |
432.2.k.c.325.12 | yes | 24 | 3.2 | odd | 2 | inner | |
1728.2.k.c.433.4 | 24 | 4.3 | odd | 2 | |||
1728.2.k.c.433.9 | 24 | 12.11 | even | 2 | |||
1728.2.k.c.1297.4 | 24 | 16.3 | odd | 4 | |||
1728.2.k.c.1297.9 | 24 | 48.35 | even | 4 |