Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [756,2,Mod(85,756)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(756, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("756.85");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 756 = 2^{2} \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 756.bo (of order \(9\), degree \(6\), 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: | \(6.03669039281\) |
Analytic rank: | \(0\) |
Dimension: | \(54\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 85.1 | ||
Character | \(\chi\) | \(=\) | 756.85 |
Dual form | 756.2.bo.b.169.1 |
$q$-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 \(\left(\mathbb{Z}/756\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) | \(1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −1.72800 | + | 0.118316i | −0.997664 | + | 0.0683099i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0.626647 | − | 3.55389i | 0.280245 | − | 1.58935i | −0.441546 | − | 0.897239i | \(-0.645570\pi\) |
0.721791 | − | 0.692111i | \(-0.243319\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.766044 | + | 0.642788i | −0.289538 | + | 0.242951i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 2.97200 | − | 0.408902i | 0.990668 | − | 0.136301i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.0433566 | + | 0.245888i | 0.0130725 | + | 0.0741379i | 0.990646 | − | 0.136456i | \(-0.0435713\pi\) |
−0.977574 | + | 0.210594i | \(0.932460\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 3.04704 | − | 1.10903i | 0.845098 | − | 0.307590i | 0.117058 | − | 0.993125i | \(-0.462654\pi\) |
0.728040 | + | 0.685535i | \(0.240432\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.662366 | + | 6.21529i | −0.171022 | + | 1.60478i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 1.13833 | − | 1.97165i | 0.276086 | − | 0.478194i | −0.694323 | − | 0.719664i | \(-0.744296\pi\) |
0.970408 | + | 0.241469i | \(0.0776293\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.63940 | + | 2.83953i | 0.376105 | + | 0.651433i | 0.990492 | − | 0.137572i | \(-0.0439298\pi\) |
−0.614387 | + | 0.789005i | \(0.710596\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 1.24768 | − | 1.20138i | 0.272265 | − | 0.262162i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −7.07760 | − | 5.93881i | −1.47578 | − | 1.23833i | −0.910552 | − | 0.413395i | \(-0.864343\pi\) |
−0.565231 | − | 0.824933i | \(-0.691213\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −7.53901 | − | 2.74398i | −1.50780 | − | 0.548795i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −5.08726 | + | 1.05822i | −0.979043 | + | 0.203655i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −4.13113 | − | 1.50361i | −0.767131 | − | 0.279213i | −0.0713350 | − | 0.997452i | \(-0.522726\pi\) |
−0.695796 | + | 0.718240i | \(0.744948\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.83329 | − | 3.21651i | −0.688479 | − | 0.577702i | 0.229991 | − | 0.973193i | \(-0.426130\pi\) |
−0.918470 | + | 0.395491i | \(0.870575\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −0.104013 | − | 0.419765i | −0.0181063 | − | 0.0730718i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 1.80436 | + | 3.12524i | 0.304992 | + | 0.528262i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.771841 | − | 1.33687i | 0.126890 | − | 0.219780i | −0.795580 | − | 0.605848i | \(-0.792834\pi\) |
0.922470 | + | 0.386069i | \(0.126167\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −5.13409 | + | 2.27693i | −0.822112 | + | 0.364600i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 1.07512 | − | 0.391311i | 0.167905 | − | 0.0611125i | −0.256700 | − | 0.966491i | \(-0.582635\pi\) |
0.424605 | + | 0.905379i | \(0.360413\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.401383 | + | 2.27636i | 0.0612103 | + | 0.347141i | 0.999997 | + | 0.00264062i | \(0.000840538\pi\) |
−0.938786 | + | 0.344500i | \(0.888048\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0.409203 | − | 10.8184i | 0.0610004 | − | 1.61271i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 8.59159 | − | 7.20920i | 1.25321 | − | 1.05157i | 0.256841 | − | 0.966454i | \(-0.417318\pi\) |
0.996371 | − | 0.0851161i | \(-0.0271261\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.173648 | − | 0.984808i | 0.0248069 | − | 0.140687i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −1.73376 | + | 3.54170i | −0.242775 | + | 0.495937i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −5.74802 | −0.789551 | −0.394775 | − | 0.918778i | \(-0.629178\pi\) | ||||
−0.394775 | + | 0.918778i | \(0.629178\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.901028 | 0.121495 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −3.16886 | − | 4.71276i | −0.419726 | − | 0.624220i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 1.74022 | − | 9.86927i | 0.226557 | − | 1.28487i | −0.633129 | − | 0.774047i | \(-0.718230\pi\) |
0.859686 | − | 0.510823i | \(-0.170659\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −4.88170 | + | 4.09623i | −0.625038 | + | 0.524469i | −0.899383 | − | 0.437163i | \(-0.855983\pi\) |
0.274345 | + | 0.961631i | \(0.411539\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −2.01385 | + | 2.22360i | −0.253721 | + | 0.280148i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −2.03196 | − | 11.5238i | −0.252034 | − | 1.42936i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −10.8172 | + | 3.93713i | −1.32153 | + | 0.480997i | −0.903948 | − | 0.427642i | \(-0.859344\pi\) |
−0.417581 | + | 0.908640i | \(0.637122\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 12.9328 | + | 9.42490i | 1.55693 | + | 1.13463i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −0.402666 | + | 0.697438i | −0.0477877 | + | 0.0827706i | −0.888930 | − | 0.458043i | \(-0.848550\pi\) |
0.841142 | + | 0.540814i | \(0.181884\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −6.95480 | − | 12.0461i | −0.813997 | − | 1.40988i | −0.910046 | − | 0.414508i | \(-0.863954\pi\) |
0.0960482 | − | 0.995377i | \(-0.469380\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 13.3521 | + | 3.84962i | 1.54177 | + | 0.444515i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −0.191267 | − | 0.160492i | −0.0217969 | − | 0.0182897i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −7.28350 | − | 2.65098i | −0.819458 | − | 0.298258i | −0.101933 | − | 0.994791i | \(-0.532503\pi\) |
−0.717525 | + | 0.696533i | \(0.754725\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 8.66560 | − | 2.43052i | 0.962844 | − | 0.270057i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 5.51788 | + | 2.00834i | 0.605666 | + | 0.220444i | 0.626606 | − | 0.779336i | \(-0.284444\pi\) |
−0.0209400 | + | 0.999781i | \(0.506666\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −6.29369 | − | 5.28103i | −0.682646 | − | 0.572808i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 7.31651 | + | 2.10946i | 0.784412 | + | 0.226158i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 7.12272 | + | 12.3369i | 0.755007 | + | 1.30771i | 0.945371 | + | 0.325997i | \(0.105700\pi\) |
−0.190364 | + | 0.981714i | \(0.560967\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −1.62130 | + | 2.80817i | −0.169958 | + | 0.294376i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 7.00450 | + | 5.10460i | 0.726333 | + | 0.529323i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 11.1187 | − | 4.04688i | 1.14076 | − | 0.415201i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 0.0151777 | + | 0.0860770i | 0.00154106 | + | 0.00873980i | 0.985569 | − | 0.169277i | \(-0.0541431\pi\) |
−0.984028 | + | 0.178016i | \(0.943032\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0.229400 | + | 0.713050i | 0.0230556 | + | 0.0716642i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −3.77493 | + | 3.16755i | −0.375620 | + | 0.315183i | −0.810980 | − | 0.585074i | \(-0.801066\pi\) |
0.435360 | + | 0.900256i | \(0.356621\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0.931621 | − | 5.28348i | 0.0917953 | − | 0.520597i | −0.903887 | − | 0.427771i | \(-0.859299\pi\) |
0.995682 | − | 0.0928259i | \(-0.0295900\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −3.48771 | − | 5.18695i | −0.340365 | − | 0.506194i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 5.79919 | 0.560629 | 0.280315 | − | 0.959908i | \(-0.409561\pi\) | ||||
0.280315 | + | 0.959908i | \(0.409561\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 2.08236 | 0.199454 | 0.0997269 | − | 0.995015i | \(-0.468203\pi\) | ||||
0.0997269 | + | 0.995015i | \(0.468203\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −1.17557 | + | 2.40144i | −0.111580 | + | 0.227934i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 1.01369 | − | 5.74890i | 0.0953595 | − | 0.540811i | −0.899277 | − | 0.437379i | \(-0.855907\pi\) |
0.994637 | − | 0.103431i | \(-0.0329822\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −25.5411 | + | 21.4315i | −2.38172 | + | 1.99850i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 8.60233 | − | 4.54199i | 0.795286 | − | 0.419907i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0.395338 | + | 2.24207i | 0.0362406 | + | 0.205530i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 10.2780 | − | 3.74090i | 0.934367 | − | 0.340082i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −1.81151 | + | 0.803391i | −0.163338 | + | 0.0724394i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −5.45430 | + | 9.44713i | −0.487848 | + | 0.844977i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −4.35273 | − | 7.53914i | −0.386242 | − | 0.668991i | 0.605699 | − | 0.795694i | \(-0.292894\pi\) |
−0.991941 | + | 0.126703i | \(0.959560\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −0.962921 | − | 3.88606i | −0.0847805 | − | 0.342149i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 15.3371 | + | 12.8694i | 1.34001 | + | 1.12440i | 0.981623 | + | 0.190831i | \(0.0611182\pi\) |
0.358389 | + | 0.933572i | \(0.383326\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −3.08107 | − | 1.12142i | −0.267163 | − | 0.0972393i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0.572890 | + | 18.7427i | 0.0493065 | + | 1.61311i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 4.39528 | + | 1.59975i | 0.375514 | + | 0.136676i | 0.522880 | − | 0.852406i | \(-0.324857\pi\) |
−0.147367 | + | 0.989082i | \(0.547080\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 15.2156 | + | 12.7674i | 1.29057 | + | 1.08292i | 0.991693 | + | 0.128627i | \(0.0410571\pi\) |
0.298879 | + | 0.954291i | \(0.403387\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −13.9933 | + | 13.4741i | −1.17845 | + | 1.13472i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 0.404807 | + | 0.701146i | 0.0338517 | + | 0.0586328i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −7.93242 | + | 13.7394i | −0.658752 | + | 1.14099i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −0.183546 | + | 1.72230i | −0.0151386 | + | 0.142053i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −9.71750 | + | 3.53688i | −0.796088 | + | 0.289752i | −0.707864 | − | 0.706348i | \(-0.750341\pi\) |
−0.0882237 | + | 0.996101i | \(0.528119\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 1.70081 | + | 9.64575i | 0.138410 | + | 0.784960i | 0.972424 | + | 0.233218i | \(0.0749256\pi\) |
−0.834015 | + | 0.551742i | \(0.813963\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 2.57691 | − | 6.32520i | 0.208331 | − | 0.511362i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −13.8333 | + | 11.6075i | −1.11111 | + | 0.932335i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −3.20583 | + | 18.1812i | −0.255853 | + | 1.45101i | 0.538021 | + | 0.842932i | \(0.319172\pi\) |
−0.793874 | + | 0.608083i | \(0.791939\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 9.93260 | − | 0.680084i | 0.787706 | − | 0.0539341i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 9.23915 | 0.728147 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 20.9694 | 1.64245 | 0.821224 | − | 0.570606i | \(-0.193292\pi\) | ||||
0.821224 | + | 0.570606i | \(0.193292\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −1.55698 | + | 0.106606i | −0.121211 | + | 0.00829928i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 4.17919 | − | 23.7014i | 0.323396 | − | 1.83407i | −0.197321 | − | 0.980339i | \(-0.563224\pi\) |
0.520717 | − | 0.853730i | \(-0.325665\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −1.90406 | + | 1.59770i | −0.146466 | + | 0.122900i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 6.03340 | + | 7.76874i | 0.461386 | + | 0.594090i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −0.720844 | − | 4.08811i | −0.0548048 | − | 0.310813i | 0.945066 | − | 0.326879i | \(-0.105997\pi\) |
−0.999871 | + | 0.0160658i | \(0.994886\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 7.53901 | − | 2.74398i | 0.569896 | − | 0.207425i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −1.83941 | + | 17.2600i | −0.138259 | + | 1.29734i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −1.31889 | + | 2.28438i | −0.0985784 | + | 0.170743i | −0.911096 | − | 0.412193i | \(-0.864763\pi\) |
0.812518 | + | 0.582936i | \(0.198096\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −12.4966 | − | 21.6447i | −0.928864 | − | 1.60884i | −0.785226 | − | 0.619209i | \(-0.787453\pi\) |
−0.143638 | − | 0.989630i | \(-0.545880\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 7.95095 | − | 7.65590i | 0.587751 | − | 0.565940i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −4.26741 | − | 3.58079i | −0.313747 | − | 0.263265i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.534157 | + | 0.194417i | 0.0390615 | + | 0.0142172i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 3.21685 | − | 4.08067i | 0.233992 | − | 0.296825i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −10.3350 | − | 3.76164i | −0.747816 | − | 0.272183i | −0.0601293 | − | 0.998191i | \(-0.519151\pi\) |
−0.687686 | + | 0.726008i | \(0.741374\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 15.0179 | + | 12.6015i | 1.08101 | + | 0.907079i | 0.996005 | − | 0.0893011i | \(-0.0284633\pi\) |
0.0850100 | + | 0.996380i | \(0.472908\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 4.87470 | + | 19.6728i | 0.349085 | + | 1.40880i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −1.24646 | − | 2.15893i | −0.0888065 | − | 0.153817i | 0.818200 | − | 0.574933i | \(-0.194972\pi\) |
−0.907007 | + | 0.421116i | \(0.861639\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −9.41974 | + | 16.3155i | −0.667748 | + | 1.15657i | 0.310784 | + | 0.950480i | \(0.399408\pi\) |
−0.978532 | + | 0.206093i | \(0.933925\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 18.2263 | − | 8.08323i | 1.28559 | − | 0.570147i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 4.13113 | − | 1.50361i | 0.289948 | − | 0.105533i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.716958 | − | 4.06607i | −0.0500745 | − | 0.283987i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −23.4630 | − | 14.7561i | −1.63079 | − | 1.02562i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −0.627127 | + | 0.526222i | −0.0433793 | + | 0.0363995i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 1.77828 | − | 10.0851i | 0.122422 | − | 0.694288i | −0.860384 | − | 0.509646i | \(-0.829776\pi\) |
0.982806 | − | 0.184642i | \(-0.0591126\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0.613291 | − | 1.25282i | 0.0420220 | − | 0.0858417i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 8.34145 | 0.568882 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 5.00400 | 0.339694 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 13.4432 | + | 19.9928i | 0.908405 | + | 1.35099i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 1.28192 | − | 7.27013i | 0.0862313 | − | 0.489042i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 16.4134 | − | 13.7724i | 1.09912 | − | 0.922271i | 0.101755 | − | 0.994810i | \(-0.467554\pi\) |
0.997366 | + | 0.0725381i | \(0.0231099\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −23.5280 | − | 5.07238i | −1.56853 | − | 0.338159i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −2.07688 | − | 11.7785i | −0.137847 | − | 0.781770i | −0.972835 | − | 0.231501i | \(-0.925636\pi\) |
0.834988 | − | 0.550269i | \(-0.185475\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 6.29311 | − | 2.29051i | 0.415861 | − | 0.151361i | −0.125612 | − | 0.992079i | \(-0.540089\pi\) |
0.541472 | + | 0.840719i | \(0.317867\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0.349499 | + | 0.254701i | 0.0229953 | + | 0.0167581i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 9.41192 | − | 16.3019i | 0.616595 | − | 1.06797i | −0.373507 | − | 0.927627i | \(-0.621845\pi\) |
0.990102 | − | 0.140347i | \(-0.0448219\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −20.2368 | − | 35.0512i | −1.32011 | − | 2.28649i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 12.8996 | + | 3.71915i | 0.837918 | + | 0.241585i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 11.2766 | + | 9.46220i | 0.729423 | + | 0.612059i | 0.929974 | − | 0.367625i | \(-0.119829\pi\) |
−0.200551 | + | 0.979683i | \(0.564273\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 19.1442 | + | 6.96790i | 1.23318 | + | 0.448842i | 0.874687 | − | 0.484689i | \(-0.161067\pi\) |
0.358497 | + | 0.933531i | \(0.383289\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −14.6866 | + | 5.22522i | −0.942148 | + | 0.335198i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −3.39109 | − | 1.23425i | −0.216649 | − | 0.0788536i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 8.14447 | + | 6.83402i | 0.518220 | + | 0.434838i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −9.77254 | − | 2.81757i | −0.619309 | − | 0.178556i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −9.83032 | − | 17.0266i | −0.620484 | − | 1.07471i | −0.989396 | − | 0.145246i | \(-0.953603\pi\) |
0.368911 | − | 0.929465i | \(-0.379731\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 1.15342 | − | 1.99778i | 0.0725149 | − | 0.125599i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 11.5004 | + | 8.38100i | 0.720180 | + | 0.524839i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −3.99454 | + | 1.45390i | −0.249173 | + | 0.0906915i | −0.463587 | − | 0.886051i | \(-0.653438\pi\) |
0.214414 | + | 0.976743i | \(0.431216\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0.268058 | + | 1.52023i | 0.0166563 | + | 0.0944625i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −12.8925 | − | 2.77950i | −0.798029 | − | 0.172047i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −15.7630 | + | 13.2267i | −0.971986 | + | 0.815593i | −0.982861 | − | 0.184348i | \(-0.940983\pi\) |
0.0108754 | + | 0.999941i | \(0.496538\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −3.60198 | + | 20.4278i | −0.221268 | + | 1.25487i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −13.7678 | − | 20.4755i | −0.842573 | − | 1.25308i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 2.76876 | 0.168814 | 0.0844071 | − | 0.996431i | \(-0.473100\pi\) | ||||
0.0844071 | + | 0.996431i | \(0.473100\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 4.61817 | 0.280534 | 0.140267 | − | 0.990114i | \(-0.455204\pi\) | ||||
0.140267 | + | 0.990114i | \(0.455204\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 2.46936 | − | 5.04436i | 0.149452 | − | 0.305298i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 0.347844 | − | 1.97272i | 0.0209758 | − | 0.118959i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 22.0851 | − | 18.5316i | 1.32697 | − | 1.11346i | 0.342190 | − | 0.939631i | \(-0.388831\pi\) |
0.984776 | − | 0.173827i | \(-0.0556132\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −12.7078 | − | 7.99203i | −0.760795 | − | 0.478471i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −5.64631 | − | 32.0218i | −0.336831 | − | 1.91026i | −0.408355 | − | 0.912823i | \(-0.633898\pi\) |
0.0715245 | − | 0.997439i | \(-0.477214\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −18.4624 | + | 6.71976i | −1.09748 | + | 0.399448i | −0.826385 | − | 0.563106i | \(-0.809606\pi\) |
−0.271090 | + | 0.962554i | \(0.587384\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −18.7344 | + | 8.30856i | −1.10973 | + | 0.492157i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −0.572058 | + | 0.990834i | −0.0337675 | + | 0.0584871i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 5.90841 | + | 10.2337i | 0.347553 | + | 0.601980i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −0.0364115 | − | 0.146946i | −0.00213448 | − | 0.00861411i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 19.9015 | + | 16.6993i | 1.16266 | + | 0.975586i | 0.999939 | − | 0.0110863i | \(-0.00352895\pi\) |
0.162720 | + | 0.986672i | \(0.447973\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −33.9838 | − | 12.3691i | −1.97862 | − | 0.720157i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −0.480770 | − | 1.20501i | −0.0278971 | − | 0.0699219i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −28.1521 | − | 10.2465i | −1.62808 | − | 0.592572i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −1.77069 | − | 1.48579i | −0.102061 | − | 0.0856393i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 6.14833 | − | 5.92017i | 0.353212 | − | 0.340105i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 11.4985 | + | 19.9159i | 0.658401 | + | 1.14038i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 14.1875 | − | 24.5735i | 0.809725 | − | 1.40249i | −0.103329 | − | 0.994647i | \(-0.532949\pi\) |
0.913054 | − | 0.407838i | \(-0.133717\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −0.984723 | + | 9.24011i | −0.0560190 | + | 0.525652i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 18.7881 | − | 6.83832i | 1.06538 | − | 0.387765i | 0.250931 | − | 0.968005i | \(-0.419263\pi\) |
0.814446 | + | 0.580240i | \(0.197041\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 4.54499 | + | 25.7759i | 0.256898 | + | 1.45694i | 0.791153 | + | 0.611618i | \(0.209481\pi\) |
−0.534255 | + | 0.845323i | \(0.679408\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 6.64048 | + | 8.55042i | 0.374149 | + | 0.481762i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −6.27508 | + | 5.26542i | −0.352444 | + | 0.295735i | −0.801770 | − | 0.597632i | \(-0.796108\pi\) |
0.449327 | + | 0.893367i | \(0.351664\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.190607 | − | 1.08098i | 0.0106719 | − | 0.0605235i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −10.0210 | + | 0.686139i | −0.559320 | + | 0.0382965i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 7.46473 | 0.415349 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −26.0148 | −1.44304 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −3.59833 | + | 0.246377i | −0.198988 | + | 0.0136247i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −1.94756 | + | 11.0451i | −0.107372 | + | 0.608938i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −25.6482 | + | 21.5214i | −1.40975 | + | 1.18292i | −0.453185 | + | 0.891416i | \(0.649712\pi\) |
−0.956568 | + | 0.291508i | \(0.905843\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 1.74727 | − | 4.28878i | 0.0957496 | − | 0.235024i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 7.21359 | + | 40.9103i | 0.394121 | + | 2.23517i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 23.0160 | − | 8.37713i | 1.25376 | − | 0.456332i | 0.372090 | − | 0.928197i | \(-0.378641\pi\) |
0.881671 | + | 0.471865i | \(0.156419\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −1.07147 | + | 10.0541i | −0.0581940 | + | 0.546061i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 0.624702 | − | 1.08201i | 0.0338295 | − | 0.0585944i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0.500000 | + | 0.866025i | 0.0269975 | + | 0.0467610i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 41.5994 | − | 40.0557i | 2.23964 | − | 2.15652i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 2.74891 | + | 2.30661i | 0.147569 | + | 0.123825i | 0.713584 | − | 0.700570i | \(-0.247071\pi\) |
−0.566014 | + | 0.824395i | \(0.691515\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 31.2343 | + | 11.3684i | 1.67193 | + | 0.608534i | 0.992170 | − | 0.124898i | \(-0.0398603\pi\) |
0.679763 | + | 0.733432i | \(0.262082\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −14.3275 | + | 8.86638i | −0.764745 | + | 0.473252i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −32.7203 | − | 11.9092i | −1.74153 | − | 0.633864i | −0.742186 | − | 0.670194i | \(-0.766211\pi\) |
−0.999340 | + | 0.0363300i | \(0.988433\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 2.22629 | + | 1.86808i | 0.118159 | + | 0.0991474i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −0.948419 | − | 3.82754i | −0.0501957 | − | 0.202575i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 3.78864 | + | 6.56211i | 0.199957 | + | 0.346335i | 0.948514 | − | 0.316735i | \(-0.102587\pi\) |
−0.748558 | + | 0.663070i | \(0.769253\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 4.12471 | − | 7.14421i | 0.217090 | − | 0.376011i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −17.3179 | + | 7.68035i | −0.908954 | + | 0.403114i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −47.1686 | + | 17.1680i | −2.46892 | + | 0.898613i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −4.50518 | − | 25.5501i | −0.235168 | − | 1.33371i | −0.842259 | − | 0.539073i | \(-0.818775\pi\) |
0.607091 | − | 0.794633i | \(-0.292337\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 3.03525 | − | 1.60260i | 0.158009 | − | 0.0834278i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 4.40324 | − | 3.69475i | 0.228605 | − | 0.191822i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −2.08471 | + | 11.8230i | −0.107942 | + | 0.612172i | 0.882062 | + | 0.471134i | \(0.156155\pi\) |
−0.990004 | + | 0.141038i | \(0.954956\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 8.30731 | − | 16.9700i | 0.428988 | − | 0.876328i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −14.2553 | −0.734184 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 8.30190 | 0.426440 | 0.213220 | − | 0.977004i | \(-0.431605\pi\) | ||||
0.213220 | + | 0.977004i | \(0.431605\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 8.41354 | + | 12.5127i | 0.431039 | + | 0.641044i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 5.56949 | − | 31.5861i | 0.284588 | − | 1.61398i | −0.422167 | − | 0.906518i | \(-0.638731\pi\) |
0.706755 | − | 0.707458i | \(-0.250158\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −0.690227 | + | 0.579170i | −0.0351772 | + | 0.0295172i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 2.12372 | + | 6.60121i | 0.107955 | + | 0.335558i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 5.66976 | + | 32.1548i | 0.287468 | + | 1.63031i | 0.696332 | + | 0.717719i | \(0.254814\pi\) |
−0.408864 | + | 0.912595i | \(0.634075\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −19.7659 | + | 7.19419i | −0.999604 | + | 0.363826i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −28.0253 | − | 20.4237i | −1.41369 | − | 1.03024i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −13.9855 | + | 24.2236i | −0.703686 | + | 1.21882i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −12.1464 | − | 21.0382i | −0.609612 | − | 1.05588i | −0.991304 | − | 0.131589i | \(-0.957992\pi\) |
0.381692 | − | 0.924289i | \(-0.375341\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 5.45679 | + | 1.57328i | 0.273181 | + | 0.0787623i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 8.25171 | + | 6.92401i | 0.412071 | + | 0.345768i | 0.825137 | − | 0.564932i | \(-0.191098\pi\) |
−0.413066 | + | 0.910701i | \(0.635542\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −15.2474 | − | 5.54960i | −0.759527 | − | 0.276445i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −3.20752 | − | 32.3197i | −0.159383 | − | 1.60598i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 0.362184 | + | 0.131824i | 0.0179528 | + | 0.00653428i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 18.3715 | + | 15.4155i | 0.908413 | + | 0.762249i | 0.971816 | − | 0.235739i | \(-0.0757511\pi\) |
−0.0634037 | + | 0.997988i | \(0.520196\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −7.78433 | − | 2.24434i | −0.383973 | − | 0.110705i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 5.01076 | + | 8.67889i | 0.246563 | + | 0.427060i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 10.5952 | − | 18.3514i | 0.520098 | − | 0.900836i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −27.8033 | − | 20.2619i | −1.36153 | − | 0.992230i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 17.1977 | − | 6.25944i | 0.840161 | − | 0.305793i | 0.114139 | − | 0.993465i | \(-0.463589\pi\) |
0.726022 | + | 0.687671i | \(0.241367\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −3.39376 | − | 19.2470i | −0.165402 | − | 0.938039i | −0.948649 | − | 0.316329i | \(-0.897550\pi\) |
0.783248 | − | 0.621710i | \(-0.213562\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 22.5864 | − | 24.9389i | 1.09819 | − | 1.21257i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −13.9920 | + | 11.7407i | −0.678713 | + | 0.569508i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 1.10659 | − | 6.27579i | 0.0535517 | − | 0.303707i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −0.782466 | − | 1.16369i | −0.0377778 | − | 0.0561834i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 13.2168 | 0.636630 | 0.318315 | − | 0.947985i | \(-0.396883\pi\) | ||||
0.318315 | + | 0.947985i | \(0.396883\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −0.870575 | −0.0418371 | −0.0209186 | − | 0.999781i | \(-0.506659\pi\) | ||||
−0.0209186 | + | 0.999781i | \(0.506659\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 12.0817 | − | 24.6802i | 0.579272 | − | 1.18333i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 5.26040 | − | 29.8332i | 0.251639 | − | 1.42711i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 2.60614 | − | 2.18681i | 0.124384 | − | 0.104371i | −0.578474 | − | 0.815701i | \(-0.696351\pi\) |
0.702858 | + | 0.711330i | \(0.251907\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0.113393 | − | 2.99786i | 0.00539966 | − | 0.142755i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 0.753468 | + | 4.27313i | 0.0357983 | + | 0.203022i | 0.997461 | − | 0.0712120i | \(-0.0226867\pi\) |
−0.961663 | + | 0.274234i | \(0.911576\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 48.3075 | − | 17.5825i | 2.29000 | − | 0.833490i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 16.3734 | − | 7.26148i | 0.774436 | − | 0.343456i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −8.08889 | + | 14.0104i | −0.381738 | + | 0.661190i | −0.991311 | − | 0.131540i | \(-0.958008\pi\) |
0.609573 | + | 0.792730i | \(0.291341\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.142832 | + | 0.247392i | 0.00672570 | + | 0.0116493i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −4.08025 | − | 16.4667i | −0.191707 | − | 0.773672i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 8.96396 | + | 7.52165i | 0.420237 | + | 0.352620i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −14.8374 | − | 5.40036i | −0.694063 | − | 0.252618i | −0.0291891 | − | 0.999574i | \(-0.509292\pi\) |
−0.664874 | + | 0.746956i | \(0.731515\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −3.70454 | + | 11.2349i | −0.172913 | + | 0.524399i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 13.0694 | + | 4.75687i | 0.608703 | + | 0.221550i | 0.627936 | − | 0.778265i | \(-0.283900\pi\) |
−0.0192327 | + | 0.999815i | \(0.506122\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 11.3862 | + | 9.55414i | 0.529161 | + | 0.444019i | 0.867812 | − | 0.496893i | \(-0.165526\pi\) |
−0.338651 | + | 0.940912i | \(0.609970\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 22.5306 | − | 21.6945i | 1.04483 | − | 1.00606i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 4.13484 | + | 7.16176i | 0.191338 | + | 0.331407i | 0.945694 | − | 0.325059i | \(-0.105384\pi\) |
−0.754356 | + | 0.656465i | \(0.772051\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 5.75570 | − | 9.96917i | 0.265774 | − | 0.460334i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 3.38856 | − | 31.7964i | 0.156137 | − | 1.46510i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −0.542325 | + | 0.197390i | −0.0249361 | + | 0.00907601i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −4.56788 | − | 25.9057i | −0.209589 | − | 1.18864i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −17.0831 | + | 2.35038i | −0.782182 | + | 0.107616i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 2.77319 | − | 2.32698i | 0.126710 | − | 0.106323i | −0.577230 | − | 0.816581i | \(-0.695867\pi\) |
0.703941 | + | 0.710259i | \(0.251422\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0.869202 | − | 4.92949i | 0.0396322 | − | 0.224765i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −15.9653 | + | 1.09314i | −0.726447 | + | 0.0497397i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 0.315420 | 0.0143225 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −9.11319 | −0.412958 | −0.206479 | − | 0.978451i | \(-0.566201\pi\) | ||||
−0.206479 | + | 0.978451i | \(0.566201\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −36.2352 | + | 2.48102i | −1.63861 | + | 0.112195i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −3.79128 | + | 21.5014i | −0.171098 | + | 0.970344i | 0.771454 | + | 0.636285i | \(0.219530\pi\) |
−0.942552 | + | 0.334059i | \(0.891581\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −7.66717 | + | 6.43352i | −0.345312 | + | 0.289751i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 2.67786 | − | 0.368432i | 0.120361 | − | 0.0165598i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −0.139844 | − | 0.793097i | −0.00627288 | − | 0.0355753i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −15.0946 | + | 5.49398i | −0.675727 | + | 0.245945i | −0.657012 | − | 0.753880i | \(-0.728180\pi\) |
−0.0187153 | + | 0.999825i | \(0.505958\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −4.41741 | + | 41.4506i | −0.197355 | + | 1.85188i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −11.0312 | + | 19.1066i | −0.491858 | + | 0.851922i | −0.999956 | − | 0.00937667i | \(-0.997015\pi\) |
0.508098 | + | 0.861299i | \(0.330349\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 8.89157 | + | 15.4006i | 0.395670 | + | 0.685320i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 3.10119 | − | 2.98611i | 0.137729 | − | 0.132618i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 11.9959 | + | 10.0658i | 0.531709 | + | 0.446157i | 0.868691 | − | 0.495354i | \(-0.164962\pi\) |
−0.336982 | + | 0.941511i | \(0.609406\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 13.0707 | + | 4.75736i | 0.578216 | + | 0.210453i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −11.3449 | − | 12.7106i | −0.500890 | − | 0.561185i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −18.1931 | − | 6.62176i | −0.801686 | − | 0.291790i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 2.14516 | + | 1.80000i | 0.0943438 | + | 0.0791639i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 1.72931 | + | 6.97899i | 0.0759084 | + | 0.306343i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −18.4749 | − | 31.9994i | −0.809399 | − | 1.40192i | −0.913281 | − | 0.407330i | \(-0.866460\pi\) |
0.103882 | − | 0.994590i | \(-0.466874\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 7.80150 | − | 13.5126i | 0.341136 | − | 0.590864i | −0.643508 | − | 0.765439i | \(-0.722522\pi\) |
0.984644 | + | 0.174575i | \(0.0558551\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −12.7028 | + | 5.63359i | −0.554395 | + | 0.245870i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −10.7054 | + | 3.89643i | −0.466333 | + | 0.169731i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 10.8290 | + | 61.4146i | 0.470828 | + | 2.67020i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 1.13637 | − | 30.0431i | 0.0493142 | − | 1.30376i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 2.84195 | − | 2.38468i | 0.123099 | − | 0.103292i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 3.63405 | − | 20.6097i | 0.157114 | − | 0.891036i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 2.00877 | − | 4.10347i | 0.0866847 | − | 0.177078i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 0.249681 | 0.0107545 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −1.62538 | −0.0698804 | −0.0349402 | − | 0.999389i | \(-0.511124\pi\) | ||||
−0.0349402 | + | 0.999389i | \(0.511124\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 24.1551 | + | 35.9236i | 1.03659 | + | 1.54163i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 1.30490 | − | 7.40048i | 0.0558960 | − | 0.317002i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −15.3360 | + | 12.8684i | −0.655719 | + | 0.550213i | −0.908800 | − | 0.417232i | \(-0.863000\pi\) |
0.253081 | + | 0.967445i | \(0.418556\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −12.8335 | + | 14.1702i | −0.547719 | + | 0.604767i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −2.50305 | − | 14.1955i | −0.106633 | − | 0.604748i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 7.28350 | − | 2.65098i | 0.309726 | − | 0.112731i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 7.79778 | + | 5.68271i | 0.330997 | + | 0.241218i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −19.6600 | + | 34.0521i | −0.833021 | + | 1.44283i | 0.0626106 | + | 0.998038i | \(0.480057\pi\) |
−0.895632 | + | 0.444797i | \(0.853276\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 3.74758 | + | 6.49101i | 0.158506 | + | 0.274540i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −0.946030 | − | 0.272755i | −0.0399414 | − | 0.0115157i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −13.7095 | − | 11.5037i | −0.577788 | − | 0.484821i | 0.306432 | − | 0.951893i | \(-0.400865\pi\) |
−0.884220 | + | 0.467071i | \(0.845309\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −19.7957 | − | 7.20506i | −0.832813 | − | 0.303119i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −5.07593 | + | 7.43202i | −0.213169 | + | 0.312116i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 17.4802 | + | 6.36226i | 0.732807 | + | 0.266720i | 0.681352 | − | 0.731956i | \(-0.261392\pi\) |
0.0514543 | + | 0.998675i | \(0.483614\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −16.4611 | − | 13.8125i | −0.688874 | − | 0.578034i | 0.229710 | − | 0.973259i | \(-0.426222\pi\) |
−0.918584 | + | 0.395225i | \(0.870667\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 18.3040 | + | 5.27733i | 0.764662 | + | 0.220464i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 37.0622 | + | 64.1935i | 1.54560 | + | 2.67706i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −3.92088 | + | 6.79117i | −0.163228 | + | 0.282720i | −0.936025 | − | 0.351934i | \(-0.885524\pi\) |
0.772796 | + | 0.634654i | \(0.218857\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −27.4420 | − | 19.9987i | −1.14045 | − | 0.831116i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −5.51788 | + | 2.00834i | −0.228920 | + | 0.0833201i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −0.249215 | − | 1.41337i | −0.0103214 | − | 0.0585357i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −10.7511 | − | 33.4180i | −0.444504 | − | 1.38166i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −21.3256 | + | 17.8943i | −0.880203 | + | 0.738578i | −0.966221 | − | 0.257715i | \(-0.917030\pi\) |
0.0860177 | + | 0.996294i | \(0.472586\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 2.84907 | − | 16.1579i | 0.117394 | − | 0.665774i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 2.40932 | + | 3.58316i | 0.0991063 | + | 0.147392i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −3.56593 | −0.146435 | −0.0732175 | − | 0.997316i | \(-0.523327\pi\) | ||||
−0.0732175 | + | 0.997316i | \(0.523327\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 8.21582 | 0.336816 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 14.3470 | − | 29.3077i | 0.587183 | − | 1.19949i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 6.89443 | − | 39.1002i | 0.281699 | − | 1.59759i | −0.435146 | − | 0.900360i | \(-0.643303\pi\) |
0.716845 | − | 0.697233i | \(-0.245586\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −15.4289 | + | 12.9464i | −0.629359 | + | 0.528095i | −0.900730 | − | 0.434380i | \(-0.856968\pi\) |
0.271370 | + | 0.962475i | \(0.412523\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −30.5388 | + | 16.1243i | −1.24364 | + | 0.656634i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −6.85406 | − | 38.8713i | −0.278657 | − | 1.58034i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 24.6299 | − | 8.96455i | 0.999697 | − | 0.363860i | 0.210229 | − | 0.977652i | \(-0.432579\pi\) |
0.789468 | + | 0.613792i | \(0.210357\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −6.96071 | + | 3.08702i | −0.282062 | + | 0.125092i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 18.1837 | − | 31.4951i | 0.735634 | − | 1.27416i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 15.8806 | + | 27.5061i | 0.641413 | + | 1.11096i | 0.985117 | + | 0.171882i | \(0.0549849\pi\) |
−0.343704 | + | 0.939078i | \(0.611682\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 1.71999 | + | 6.94136i | 0.0693566 | + | 0.279903i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 1.16959 | + | 0.981406i | 0.0470861 | + | 0.0395099i | 0.666027 | − | 0.745928i | \(-0.267994\pi\) |
−0.618941 | + | 0.785438i | \(0.712438\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 19.9875 | + | 7.27486i | 0.803366 | + | 0.292401i | 0.710881 | − | 0.703313i | \(-0.248297\pi\) |
0.0924855 | + | 0.995714i | \(0.470519\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 42.2902 | + | 22.7226i | 1.69705 | + | 0.911826i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −13.3863 | − | 4.87223i | −0.536312 | − | 0.195202i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −0.573125 | − | 0.480909i | −0.0229250 | − | 0.0192364i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 1.02142 | − | 0.983513i | 0.0407915 | − | 0.0392777i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −1.75722 | − | 3.04359i | −0.0700649 | − | 0.121356i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 14.0390 | − | 24.3162i | 0.558883 | − | 0.968014i | −0.438707 | − | 0.898630i | \(-0.644563\pi\) |
0.997590 | − | 0.0693835i | \(-0.0221032\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −1.87964 | + | 17.6375i | −0.0747090 | + | 0.701029i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −29.5209 | + | 10.7447i | −1.17150 | + | 0.426392i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −0.563071 | − | 3.19333i | −0.0223097 | − | 0.126524i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −0.911540 | + | 2.23744i | −0.0360600 | + | 0.0885117i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 2.46985 | − | 2.07245i | 0.0975534 | − | 0.0818570i | −0.592707 | − | 0.805418i | \(-0.701941\pi\) |
0.690260 | + | 0.723561i | \(0.257496\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −4.12078 | + | 23.3701i | −0.162508 | + | 0.921627i | 0.789089 | + | 0.614279i | \(0.210553\pi\) |
−0.951597 | + | 0.307349i | \(0.900558\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −14.4141 | + | 0.986929i | −0.567553 | + | 0.0388603i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −23.2970 | −0.915900 | −0.457950 | − | 0.888978i | \(-0.651416\pi\) | ||||
−0.457950 | + | 0.888978i | \(0.651416\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 2.50218 | 0.0982192 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −8.64694 | + | 0.592054i | −0.338900 | + | 0.0232044i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −5.74561 | + | 32.5850i | −0.224843 | + | 1.27515i | 0.638142 | + | 0.769919i | \(0.279703\pi\) |
−0.862985 | + | 0.505230i | \(0.831408\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 55.3474 | − | 46.4420i | 2.16260 | − | 1.81464i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −25.5953 | − | 32.9571i | −0.998569 | − | 1.28578i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 4.83102 | + | 27.3981i | 0.188190 | + | 1.06728i | 0.921788 | + | 0.387694i | \(0.126728\pi\) |
−0.733599 | + | 0.679583i | \(0.762161\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 18.0476 | − | 6.56879i | 0.701971 | − | 0.255496i | 0.0337185 | − | 0.999431i | \(-0.489265\pi\) |
0.668252 | + | 0.743935i | \(0.267043\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −1.35499 | + | 12.7145i | −0.0526235 | + | 0.493790i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −5.91615 | + | 10.2471i | −0.229418 | + | 0.397364i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 20.3088 | + | 35.1759i | 0.786361 | + | 1.36202i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −26.7329 | + | 25.7408i | −1.03355 | + | 0.995198i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −1.21887 | − | 1.02275i | −0.0470538 | − | 0.0394829i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 22.5092 | + | 8.19269i | 0.867667 | + | 0.315805i | 0.737222 | − | 0.675651i | \(-0.236137\pi\) |
0.130445 | + | 0.991456i | \(0.458359\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 41.2566 | + | 5.98136i | 1.58797 | + | 0.230223i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −13.0970 | − | 4.76692i | −0.503359 | − | 0.183208i | 0.0778452 | − | 0.996965i | \(-0.475196\pi\) |
−0.581204 | + | 0.813758i | \(0.697418\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −0.0669560 | − | 0.0561828i | −0.00256954 | − | 0.00215610i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 4.98244 | + | 20.1077i | 0.190928 | + | 0.770527i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 2.66819 | + | 4.62144i | 0.102095 | + | 0.176835i | 0.912548 | − | 0.408970i | \(-0.134112\pi\) |
−0.810452 | + | 0.585805i | \(0.800779\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 8.43963 | − | 14.6179i | 0.322462 | − | 0.558520i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −10.6035 | + | 4.70258i | −0.404550 | + | 0.179415i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −17.5145 | + | 6.37474i | −0.667248 | + | 0.242858i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 3.28113 | + | 18.6082i | 0.124820 | + | 0.707891i | 0.981414 | + | 0.191900i | \(0.0614650\pi\) |
−0.856594 | + | 0.515991i | \(0.827424\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −0.634070 | − | 0.398773i | −0.0240863 | − | 0.0151481i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 54.9089 | − | 46.0740i | 2.08281 | − | 1.74769i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0.452313 | − | 2.56519i | 0.0171326 | − | 0.0971636i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −14.3351 | + | 29.2834i | −0.542202 | + | 1.10760i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 11.5259 | 0.435328 | 0.217664 | − | 0.976024i | \(-0.430156\pi\) | ||||
0.217664 | + | 0.976024i | \(0.430156\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 5.06144 | 0.190896 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 39.1165 | + | 58.1743i | 1.47321 | + | 2.19097i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 0.855708 | − | 4.85296i | 0.0321822 | − | 0.182514i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −21.0898 | + | 17.6965i | −0.792045 | + | 0.664605i | −0.946251 | − | 0.323434i | \(-0.895163\pi\) |
0.154205 | + | 0.988039i | \(0.450718\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −22.7306 | − | 4.90047i | −0.852463 | − | 0.183782i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 8.02823 | + | 45.5304i | 0.300660 | + | 1.70513i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 2.74547 | − | 0.999270i | 0.102675 | − | 0.0373706i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −20.6056 | − | 15.0165i | −0.769529 | − | 0.560802i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −3.06437 | + | 5.30764i | −0.114282 | + | 0.197942i | −0.917492 | − | 0.397753i | \(-0.869790\pi\) |
0.803211 | + | 0.595695i | \(0.203123\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 2.68249 | + | 4.64622i | 0.0999013 | + | 0.173034i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −33.9056 | − | 9.77551i | −1.26096 | − | 0.363555i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 27.0187 | + | 22.6714i | 1.00345 | + | 0.841995i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 20.6802 | + | 7.52699i | 0.766988 | + | 0.279161i | 0.695736 | − | 0.718298i | \(-0.255078\pi\) |
0.0712519 | + | 0.997458i | \(0.477301\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 24.7603 | − | 10.7669i | 0.917050 | − | 0.398773i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 4.94507 | + | 1.79986i | 0.182900 | + | 0.0665702i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −0.366420 | − | 0.307463i | −0.0135340 | − | 0.0113564i | 0.635996 | − | 0.771693i | \(-0.280590\pi\) |
−0.649530 | + | 0.760336i | \(0.725034\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 6.00585 | + | 1.73158i | 0.221529 | + | 0.0638702i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −1.43709 | − | 2.48911i | −0.0529359 | − | 0.0916876i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 9.56120 | − | 16.5605i | 0.351715 | − | 0.609187i | −0.634835 | − | 0.772647i | \(-0.718932\pi\) |
0.986550 | + | 0.163460i | \(0.0522654\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −14.8823 | − | 10.8456i | −0.546713 | − | 0.398423i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 4.59805 | − | 1.67355i | 0.168686 | − | 0.0613967i | −0.256297 | − | 0.966598i | \(-0.582502\pi\) |
0.424983 | + | 0.905201i | \(0.360280\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 6.48025 | + | 36.7513i | 0.237418 | + | 1.34646i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 17.2204 | + | 3.71253i | 0.630060 | + | 0.135834i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −4.44244 | + | 3.72765i | −0.162323 | + | 0.136205i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −5.13742 | + | 29.1357i | −0.187467 | + | 1.06318i | 0.735277 | + | 0.677766i | \(0.237052\pi\) |
−0.922744 | + | 0.385412i | \(0.874059\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 19.0014 | + | 28.2590i | 0.692448 | + | 1.02981i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 35.3458 | 1.28636 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 49.0230 | 1.78177 | 0.890886 | − | 0.454226i | \(-0.150084\pi\) | ||||
0.890886 | + | 0.454226i | \(0.150084\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −1.75675 | + | 3.58865i | −0.0637658 | + | 0.130260i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 3.77770 | − | 21.4244i | 0.136942 | − | 0.776634i | −0.836546 | − | 0.547896i | \(-0.815429\pi\) |
0.973488 | − | 0.228738i | \(-0.0734599\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −1.59518 | + | 1.33851i | −0.0577494 | + | 0.0484575i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −20.8643 | − | 13.1217i | −0.754350 | − | 0.474417i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −5.64282 | − | 32.0020i | −0.203751 | − | 1.15553i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −7.16325 | + | 2.60721i | −0.258313 | + | 0.0940184i | −0.467931 | − | 0.883765i | \(-0.655000\pi\) |
0.209617 | + | 0.977783i | \(0.432778\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 6.73057 | − | 2.98496i | 0.242396 | − | 0.107501i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 9.75263 | − | 16.8921i | 0.350778 | − | 0.607565i | −0.635608 | − | 0.772012i | \(-0.719251\pi\) |
0.986386 | + | 0.164447i | \(0.0525839\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 20.0732 | + | 34.7677i | 0.721049 | + | 1.24889i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −0.643073 | − | 2.59525i | −0.0230701 | − | 0.0931041i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 2.87369 | + | 2.41131i | 0.102961 | + | 0.0863943i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −0.188950 | − | 0.0687720i | −0.00676115 | − | 0.00246086i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 22.6072 | + | 3.27759i | 0.807917 | + | 0.117131i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 62.6050 | + | 22.7863i | 2.23447 | + | 0.813280i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −3.40233 | − | 2.85489i | −0.121280 | − | 0.101766i | 0.580131 | − | 0.814523i | \(-0.303002\pi\) |
−0.701410 | + | 0.712758i | \(0.747446\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 25.6735 | − | 24.7208i | 0.914002 | − | 0.880084i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 2.91879 | + | 5.05549i | 0.103780 | + | 0.179753i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −10.3319 | + | 17.8954i | −0.366896 | + | 0.635483i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 3.80729 | − | 35.7256i | 0.135031 | − | 1.26706i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −14.5510 | + | 5.29613i | −0.515423 | + | 0.187598i | −0.586618 | − | 0.809864i | \(-0.699541\pi\) |
0.0711952 | + | 0.997462i | \(0.477319\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −4.43392 | − | 25.1460i | −0.156861 | − | 0.889602i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 26.2133 | + | 33.7528i | 0.926203 | + | 1.19260i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 2.66044 | − | 2.23238i | 0.0938849 | − | 0.0787788i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 5.78969 | − | 32.8350i | 0.204060 | − | 1.15728i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −4.78443 | + | 0.327589i | −0.168420 | + | 0.0115317i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −48.0670 | −1.68994 | −0.844972 | − | 0.534810i | \(-0.820383\pi\) | ||||
−0.844972 | + | 0.534810i | \(0.820383\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −9.75239 | −0.342453 | −0.171226 | − | 0.985232i | \(-0.554773\pi\) | ||||
−0.171226 | + | 0.985232i | \(0.554773\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −7.98022 | + | 0.546404i | −0.279879 | + | 0.0191632i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 13.1404 | − | 74.5229i | 0.460288 | − | 2.61042i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −5.80575 | + | 4.87161i | −0.203118 | + | 0.170436i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −3.67023 | + | 9.00884i | −0.128248 | + | 0.314794i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 3.63063 | + | 20.5903i | 0.126710 | + | 0.718607i | 0.980278 | + | 0.197625i | \(0.0633229\pi\) |
−0.853568 | + | 0.520982i | \(0.825566\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −18.4122 | + | 6.70149i | −0.641809 | + | 0.233599i | −0.642363 | − | 0.766400i | \(-0.722046\pi\) |
0.000554035 | 1.00000i | \(0.499824\pi\) | ||||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −0.367671 | + | 3.45002i | −0.0128007 | + | 0.120114i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 13.8685 | − | 24.0210i | 0.482256 | − | 0.835292i | −0.517536 | − | 0.855661i | \(-0.673151\pi\) |
0.999793 | + | 0.0203691i | \(0.00648412\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 7.59903 | + | 13.1619i | 0.263925 | + | 0.457132i | 0.967281 | − | 0.253706i | \(-0.0816495\pi\) |
−0.703356 | + | 0.710837i | \(0.748316\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −35.9706 | + | 34.6358i | −1.24781 | + | 1.20150i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −1.74402 | − | 1.46341i | −0.0604268 | − | 0.0507041i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −81.6133 | − | 29.7048i | −2.82435 | − | 1.02798i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 22.9047 | + | 12.3067i | 0.791702 | + | 0.425383i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 30.9531 | + | 11.2660i | 1.06862 | + | 0.388946i | 0.815661 | − | 0.578531i | \(-0.196374\pi\) |
0.252960 | + | 0.967477i | \(0.418596\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −7.40992 | − | 6.21766i | −0.255514 | − | 0.214402i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 13.5456 | + | 54.6658i | 0.466534 | + | 1.88279i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 4.48487 | + | 7.76802i | 0.154284 | + | 0.267228i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −5.46883 | + | 9.47229i | −0.187911 | + | 0.325472i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 31.1081 | − | 13.7962i | 1.06763 | − | 0.473484i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −13.4022 | + | 4.87800i | −0.459421 | + | 0.167216i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −6.40622 | − | 36.3315i | −0.219345 | − | 1.24397i | −0.873206 | − | 0.487352i | \(-0.837963\pi\) |
0.653861 | − | 0.756615i | \(-0.273148\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 31.3901 | − | 16.5738i | 1.07352 | − | 0.566812i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −30.1224 | + | 25.2757i | −1.02896 | + | 0.863400i | −0.990727 | − | 0.135869i | \(-0.956617\pi\) |
−0.0382333 | + | 0.999269i | \(0.512173\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 3.87616 | − | 21.9828i | 0.132253 | − | 0.750044i | −0.844480 | − | 0.535586i | \(-0.820091\pi\) |
0.976733 | − | 0.214457i | \(-0.0687983\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0.871288 | − | 1.77985i | 0.0296934 | − | 0.0606571i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −2.07889 | −0.0707662 | −0.0353831 | − | 0.999374i | \(-0.511265\pi\) | ||||
−0.0353831 | + | 0.999374i | \(0.511265\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −14.9804 | −0.509350 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −11.4206 | − | 16.9848i | −0.387863 | − | 0.576833i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 0.336055 | − | 1.90586i | 0.0113999 | − | 0.0646519i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −28.5940 | + | 23.9932i | −0.968871 | + | 0.812980i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 0.0803052 | + | 0.249615i | 0.00271792 | + | 0.00844819i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −1.89426 | − | 10.7429i | −0.0640376 | − | 0.363176i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −31.4991 | + | 11.4647i | −1.06365 | + | 0.387136i | −0.813798 | − | 0.581148i | \(-0.802604\pi\) |
−0.249851 | + | 0.968284i | \(0.580382\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −36.3657 | − | 26.5019i | −1.22658 | − | 0.893886i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −13.5648 | + | 23.4949i | −0.457009 | + | 0.791564i | −0.998801 | − | 0.0489491i | \(-0.984413\pi\) |
0.541792 | + | 0.840513i | \(0.317746\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 7.22889 | + | 12.5208i | 0.243272 | + | 0.421359i | 0.961644 | − | 0.274300i | \(-0.0884460\pi\) |
−0.718373 | + | 0.695659i | \(0.755113\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 60.1877 | + | 17.3530i | 2.02319 | + | 0.583316i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −31.8733 | − | 26.7449i | −1.07020 | − | 0.898005i | −0.0751301 | − | 0.997174i | \(-0.523937\pi\) |
−0.995071 | + | 0.0991687i | \(0.968382\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 8.18045 | + | 2.97744i | 0.274364 | + | 0.0998602i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0.973345 | + | 2.02538i | 0.0326083 | + | 0.0678529i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 34.5558 | + | 12.5773i | 1.15637 | + | 0.420883i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 7.29197 | + | 6.11869i | 0.243744 | + | 0.204525i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 49.8593 | + | 14.3752i | 1.66475 | + | 0.479974i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 10.9994 | + | 19.0516i | 0.366851 | + | 0.635405i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −6.54314 | + | 11.3331i | −0.217984 | + | 0.377559i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 3.23555 | + | 2.35794i | 0.107672 | + | 0.0784674i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −84.7540 | + | 30.8479i | −2.81732 | + | 1.02542i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −2.52575 | − | 14.3242i | −0.0838661 | − | 0.475628i | −0.997596 | − | 0.0693051i | \(-0.977922\pi\) |
0.913729 | − | 0.406323i | \(-0.133189\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −9.92390 | + | 10.9575i | −0.329155 | + | 0.363438i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −3.97729 | + | 3.33734i | −0.131774 | + | 0.110571i | −0.706292 | − | 0.707920i | \(-0.749634\pi\) |
0.574519 | + | 0.818491i | \(0.305189\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −0.254590 | + | 1.44385i | −0.00842571 | + | 0.0477846i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −22.2258 | − | 33.0544i | −0.734762 | − | 1.09274i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −20.0212 | −0.661158 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −27.5329 | −0.908225 | −0.454112 | − | 0.890944i | \(-0.650044\pi\) | ||||
−0.454112 | + | 0.890944i | \(0.650044\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −21.6087 | + | 44.1418i | −0.712030 | + | 1.45452i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −0.453459 | + | 2.57169i | −0.0149258 | + | 0.0846483i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −9.48725 | + | 7.96075i | −0.311939 | + | 0.261748i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 0.608352 | − | 16.0835i | 0.0199809 | − | 0.528250i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −0.841372 | − | 4.77166i | −0.0276045 | − | 0.156553i | 0.967890 | − | 0.251375i | \(-0.0808828\pi\) |
−0.995494 | + | 0.0948223i | \(0.969772\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 3.08107 | − | 1.12142i | 0.100978 | − | 0.0367530i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −31.6569 | + | 14.0396i | −1.03640 | + | 0.459635i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 1.02567 | − | 1.77651i | 0.0335429 | − | 0.0580980i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −16.2565 | − | 28.1571i | −0.531078 | − | 0.919854i | −0.999342 | − | 0.0362654i | \(-0.988454\pi\) |
0.468264 | − | 0.883588i | \(-0.344879\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −10.9035 | − | 44.0032i | −0.355821 | − | 1.43599i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 30.3804 | + | 25.4922i | 0.990372 | + | 0.831021i | 0.985622 | − | 0.168968i | \(-0.0540434\pi\) |
0.00475044 | + | 0.999989i | \(0.498488\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −9.93318 | − | 3.61538i | −0.323469 | − | 0.117733i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −12.4864 | − | 13.9895i | −0.406184 | − | 0.455078i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −0.388535 | − | 0.141415i | −0.0126257 | − | 0.00459537i | 0.335700 | − | 0.941969i | \(-0.391027\pi\) |
−0.348325 | + | 0.937374i | \(0.613250\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −34.5510 | − | 28.9918i | −1.12157 | − | 0.941113i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 10.2204 | − | 9.84111i | 0.331419 | − | 0.319120i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −23.3738 | − | 40.4845i | −0.757151 | − | 1.31142i | −0.944298 | − | 0.329091i | \(-0.893258\pi\) |
0.187148 | − | 0.982332i | \(-0.440076\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −19.8449 | + | 34.3723i | −0.642165 | + | 1.11226i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −0.201471 | + | 1.89050i | −0.00651264 | + | 0.0611111i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −4.39528 | + | 1.59975i | −0.141931 | + | 0.0516586i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −1.03494 | − | 5.86944i | −0.0333852 | − | 0.189337i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 17.2352 | − | 2.37130i | 0.555397 | − | 0.0764141i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 54.1955 | − | 45.4754i | 1.74461 | − | 1.46391i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −0.960175 | + | 5.44542i | −0.0308771 | + | 0.175113i | −0.996346 | − | 0.0854040i | \(-0.972782\pi\) |
0.965469 | + | 0.260517i | \(0.0838930\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −12.8991 | + | 0.883199i | −0.414379 | + | 0.0283724i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −20.8628 | −0.669520 | −0.334760 | − | 0.942303i | \(-0.608655\pi\) | ||||
−0.334760 | + | 0.942303i | \(0.608655\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −19.8626 | −0.636765 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 44.9538 | − | 3.07798i | 1.43967 | − | 0.0985742i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −5.38149 | + | 30.5200i | −0.172169 | + | 0.976420i | 0.769192 | + | 0.639018i | \(0.220659\pi\) |
−0.941361 | + | 0.337402i | \(0.890452\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −2.72468 | + | 2.28628i | −0.0870811 | + | 0.0730697i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 6.18877 | − | 0.851481i | 0.197592 | − | 0.0271857i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −1.85075 | − | 10.4961i | −0.0590297 | − | 0.334774i | 0.940963 | − | 0.338509i | \(-0.109922\pi\) |
−0.999993 | + | 0.00373436i | \(0.998811\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −8.45370 | + | 3.07689i | −0.269357 | + | 0.0980380i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 2.05857 | − | 19.3165i | 0.0655249 | − | 0.614850i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 10.6780 | − | 18.4949i | 0.339541 | − | 0.588103i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −3.92160 | − | 6.79242i | −0.124574 | − | 0.215768i | 0.796992 | − | 0.603989i | \(-0.206423\pi\) |
−0.921566 | + | 0.388221i | \(0.873090\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 41.7739 | − | 40.2237i | 1.32566 | − | 1.27646i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 52.0806 | + | 43.7008i | 1.65107 | + | 1.38541i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 33.4749 | + | 12.1839i | 1.06016 | + | 0.385867i | 0.812489 | − | 0.582977i | \(-0.198112\pi\) |
0.247672 | + | 0.968844i | \(0.420334\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −2.51185 | + | 7.61777i | −0.0794714 | + | 0.241015i |
(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 | 756.2.bo.b.85.1 | ✓ | 54 | |
27.7 | even | 9 | inner | 756.2.bo.b.169.1 | yes | 54 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
756.2.bo.b.85.1 | ✓ | 54 | 1.1 | even | 1 | trivial | |
756.2.bo.b.169.1 | yes | 54 | 27.7 | even | 9 | inner |