Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [5292,2,Mod(521,5292)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(5292, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("5292.521");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 5292 = 2^{2} \cdot 3^{3} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 5292.w (of order \(6\), degree \(2\), not 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: | \(42.2568327497\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 2 x^{15} + 5 x^{14} - 17 x^{13} + 22 x^{12} - 31 x^{11} + 62 x^{10} - 52 x^{9} + 52 x^{8} + \cdots + 6561 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{19}]\) |
Coefficient ring index: | \( 3^{6} \) |
Twist minimal: | no (minimal twist has level 252) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 1097.7 | ||
Root | \(-0.811340 - 1.53027i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 5292.1097 |
Dual form | 5292.2.w.b.521.7 |
$q$-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 \(\left(\mathbb{Z}/5292\mathbb{Z}\right)^\times\).
\(n\) | \(785\) | \(1081\) | \(2647\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{5}{6}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 1.37166 | + | 2.37578i | 0.613425 | + | 1.06248i | 0.990659 | + | 0.136365i | \(0.0435419\pi\) |
−0.377234 | + | 0.926118i | \(0.623125\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.362306 | + | 0.209178i | 0.109240 | + | 0.0630695i | 0.553624 | − | 0.832767i | \(-0.313244\pi\) |
−0.444385 | + | 0.895836i | \(0.646578\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.32512 | − | 0.765056i | −0.367521 | − | 0.212188i | 0.304854 | − | 0.952399i | \(-0.401392\pi\) |
−0.672375 | + | 0.740211i | \(0.734726\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −1.95291 | − | 3.38253i | −0.473649 | − | 0.820385i | 0.525896 | − | 0.850549i | \(-0.323730\pi\) |
−0.999545 | + | 0.0301645i | \(0.990397\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 5.11994 | + | 2.95600i | 1.17459 | + | 0.678152i | 0.954758 | − | 0.297385i | \(-0.0961144\pi\) |
0.219836 | + | 0.975537i | \(0.429448\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −7.72884 | + | 4.46225i | −1.61157 | + | 0.930443i | −0.622569 | + | 0.782565i | \(0.713911\pi\) |
−0.989006 | + | 0.147878i | \(0.952756\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.26290 | + | 2.18740i | −0.252579 | + | 0.437480i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −6.00378 | + | 3.46629i | −1.11487 | + | 0.643673i | −0.940088 | − | 0.340933i | \(-0.889257\pi\) |
−0.174787 | + | 0.984606i | \(0.555924\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − | 3.52907i | − | 0.633839i | −0.948452 | − | 0.316920i | \(-0.897351\pi\) | ||
0.948452 | − | 0.316920i | \(-0.102649\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −4.54861 | + | 7.87842i | −0.747787 | + | 1.29520i | 0.201095 | + | 0.979572i | \(0.435550\pi\) |
−0.948881 | + | 0.315633i | \(0.897783\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 1.06236 | − | 1.84006i | 0.165913 | − | 0.287370i | −0.771066 | − | 0.636755i | \(-0.780276\pi\) |
0.936979 | + | 0.349385i | \(0.113610\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −5.77846 | − | 10.0086i | −0.881208 | − | 1.52630i | −0.850000 | − | 0.526783i | \(-0.823398\pi\) |
−0.0312079 | − | 0.999513i | \(-0.509935\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −1.77075 | −0.258290 | −0.129145 | − | 0.991626i | \(-0.541223\pi\) | ||||
−0.129145 | + | 0.991626i | \(0.541223\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 3.39526 | − | 1.96025i | 0.466374 | − | 0.269261i | −0.248346 | − | 0.968671i | \(-0.579887\pi\) |
0.714721 | + | 0.699410i | \(0.246554\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 1.14768i | 0.154753i | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −4.05456 | −0.527859 | −0.263929 | − | 0.964542i | \(-0.585019\pi\) | ||||
−0.263929 | + | 0.964542i | \(0.585019\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.86437i | 0.238708i | 0.992852 | + | 0.119354i | \(0.0380823\pi\) | ||||
−0.992852 | + | 0.119354i | \(0.961918\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | − | 4.19758i | − | 0.520646i | ||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −12.7688 | −1.55996 | −0.779979 | − | 0.625805i | \(-0.784770\pi\) | ||||
−0.779979 | + | 0.625805i | \(0.784770\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 8.51021i | 1.00998i | 0.863126 | + | 0.504988i | \(0.168503\pi\) | ||||
−0.863126 | + | 0.504988i | \(0.831497\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −1.65059 | + | 0.952971i | −0.193187 | + | 0.111537i | −0.593474 | − | 0.804853i | \(-0.702244\pi\) |
0.400286 | + | 0.916390i | \(0.368911\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −0.867266 | −0.0975750 | −0.0487875 | − | 0.998809i | \(-0.515536\pi\) | ||||
−0.0487875 | + | 0.998809i | \(0.515536\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 3.45880 | + | 5.99082i | 0.379653 | + | 0.657578i | 0.991012 | − | 0.133775i | \(-0.0427100\pi\) |
−0.611359 | + | 0.791354i | \(0.709377\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 5.35744 | − | 9.27936i | 0.581096 | − | 1.00649i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −4.88864 | + | 8.46738i | −0.518195 | + | 0.897540i | 0.481581 | + | 0.876401i | \(0.340063\pi\) |
−0.999777 | + | 0.0211389i | \(0.993271\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 16.2185i | 1.66398i | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −0.200411 | + | 0.115707i | −0.0203486 | + | 0.0117483i | −0.510140 | − | 0.860091i | \(-0.670406\pi\) |
0.489791 | + | 0.871840i | \(0.337073\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −7.14031 | + | 12.3674i | −0.710487 | + | 1.23060i | 0.254187 | + | 0.967155i | \(0.418192\pi\) |
−0.964674 | + | 0.263445i | \(0.915141\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 9.30617 | − | 5.37292i | 0.916964 | − | 0.529410i | 0.0342991 | − | 0.999412i | \(-0.489080\pi\) |
0.882665 | + | 0.470002i | \(0.155747\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 5.50534 | + | 3.17851i | 0.532221 | + | 0.307278i | 0.741920 | − | 0.670488i | \(-0.233915\pi\) |
−0.209699 | + | 0.977766i | \(0.567249\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 2.58036 | + | 4.46932i | 0.247154 | + | 0.428083i | 0.962735 | − | 0.270447i | \(-0.0871714\pi\) |
−0.715581 | + | 0.698530i | \(0.753838\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −9.19186 | − | 5.30692i | −0.864697 | − | 0.499233i | 0.000885276 | − | 1.00000i | \(-0.499718\pi\) |
−0.865582 | + | 0.500766i | \(0.833052\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −21.2027 | − | 12.2414i | −1.97716 | − | 1.14151i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −5.41249 | − | 9.37471i | −0.492044 | − | 0.852246i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 6.78753 | 0.607096 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 10.2909 | 0.913169 | 0.456584 | − | 0.889680i | \(-0.349073\pi\) | ||||
0.456584 | + | 0.889680i | \(0.349073\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 9.83048 | + | 17.0269i | 0.858893 | + | 1.48765i | 0.872986 | + | 0.487746i | \(0.162181\pi\) |
−0.0140928 | + | 0.999901i | \(0.504486\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 4.66411 | + | 2.69282i | 0.398481 | + | 0.230063i | 0.685829 | − | 0.727763i | \(-0.259440\pi\) |
−0.287347 | + | 0.957827i | \(0.592773\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −14.7839 | − | 8.53549i | −1.25395 | − | 0.723971i | −0.282062 | − | 0.959396i | \(-0.591018\pi\) |
−0.971892 | + | 0.235425i | \(0.924352\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −0.320065 | − | 0.554369i | −0.0267652 | − | 0.0463587i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −16.4703 | − | 9.50912i | −1.36778 | − | 0.789690i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −9.31162 | + | 5.37607i | −0.762838 | + | 0.440425i | −0.830314 | − | 0.557296i | \(-0.811839\pi\) |
0.0674758 | + | 0.997721i | \(0.478505\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −3.78223 | + | 6.55102i | −0.307794 | + | 0.533115i | −0.977879 | − | 0.209169i | \(-0.932924\pi\) |
0.670086 | + | 0.742284i | \(0.266257\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 8.38430 | − | 4.84068i | 0.673443 | − | 0.388812i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | − | 12.2764i | − | 0.979763i | −0.871789 | − | 0.489882i | \(-0.837040\pi\) | ||
0.871789 | − | 0.489882i | \(-0.162960\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 5.91745 | − | 10.2493i | 0.463490 | − | 0.802789i | −0.535642 | − | 0.844445i | \(-0.679930\pi\) |
0.999132 | + | 0.0416566i | \(0.0132635\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 6.78854 | − | 11.7581i | 0.525313 | − | 0.909869i | −0.474252 | − | 0.880389i | \(-0.657282\pi\) |
0.999565 | − | 0.0294798i | \(-0.00938508\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −5.32938 | − | 9.23075i | −0.409952 | − | 0.710058i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −16.6217 | −1.26372 | −0.631862 | − | 0.775081i | \(-0.717709\pi\) | ||||
−0.631862 | + | 0.775081i | \(0.717709\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −14.8080 | + | 8.54942i | −1.10680 | + | 0.639014i | −0.938000 | − | 0.346636i | \(-0.887324\pi\) |
−0.168805 | + | 0.985650i | \(0.553991\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 18.2171i | 1.35407i | 0.735952 | + | 0.677034i | \(0.236735\pi\) | ||||
−0.735952 | + | 0.677034i | \(0.763265\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −24.9566 | −1.83484 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | − | 1.63402i | − | 0.119491i | ||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | − | 20.9994i | − | 1.51946i | −0.650239 | − | 0.759730i | \(-0.725331\pi\) | ||
0.650239 | − | 0.759730i | \(-0.274669\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −6.97483 | −0.502059 | −0.251030 | − | 0.967979i | \(-0.580769\pi\) | ||||
−0.251030 | + | 0.967979i | \(0.580769\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | − | 16.0756i | − | 1.14534i | −0.819786 | − | 0.572670i | \(-0.805908\pi\) | ||
0.819786 | − | 0.572670i | \(-0.194092\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 5.44956 | − | 3.14630i | 0.386309 | − | 0.223036i | −0.294251 | − | 0.955728i | \(-0.595070\pi\) |
0.680560 | + | 0.732693i | \(0.261737\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 5.82879 | 0.407100 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 1.23666 | + | 2.14195i | 0.0855414 | + | 0.148162i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −1.29814 | + | 2.24844i | −0.0893674 | + | 0.154789i | −0.907244 | − | 0.420605i | \(-0.861818\pi\) |
0.817876 | + | 0.575394i | \(0.195151\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 15.8522 | − | 27.4568i | 1.08111 | − | 1.87254i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 5.97633i | 0.402011i | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 20.7215 | − | 11.9636i | 1.38762 | − | 0.801141i | 0.394571 | − | 0.918866i | \(-0.370893\pi\) |
0.993046 | + | 0.117725i | \(0.0375600\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −1.86609 | + | 3.23216i | −0.123857 | + | 0.214526i | −0.921285 | − | 0.388887i | \(-0.872860\pi\) |
0.797429 | + | 0.603413i | \(0.206193\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −18.2455 | + | 10.5341i | −1.20570 | + | 0.696111i | −0.961817 | − | 0.273694i | \(-0.911754\pi\) |
−0.243882 | + | 0.969805i | \(0.578421\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 11.0542 | + | 6.38215i | 0.724186 | + | 0.418109i | 0.816291 | − | 0.577640i | \(-0.196026\pi\) |
−0.0921057 | + | 0.995749i | \(0.529360\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −2.42886 | − | 4.20691i | −0.158441 | − | 0.274429i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −11.0521 | − | 6.38091i | −0.714899 | − | 0.412747i | 0.0979736 | − | 0.995189i | \(-0.468764\pi\) |
−0.812872 | + | 0.582442i | \(0.802097\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 2.63438 | + | 1.52096i | 0.169695 | + | 0.0979737i | 0.582442 | − | 0.812872i | \(-0.302097\pi\) |
−0.412747 | + | 0.910846i | \(0.635431\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −4.52301 | − | 7.83408i | −0.287792 | − | 0.498470i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −6.32067 | −0.398957 | −0.199478 | − | 0.979902i | \(-0.563925\pi\) | ||||
−0.199478 | + | 0.979902i | \(0.563925\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −3.73361 | −0.234730 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −12.2538 | − | 21.2242i | −0.764372 | − | 1.32393i | −0.940578 | − | 0.339577i | \(-0.889716\pi\) |
0.176206 | − | 0.984353i | \(-0.443617\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 21.1163 | + | 12.1915i | 1.30208 | + | 0.751759i | 0.980761 | − | 0.195211i | \(-0.0625390\pi\) |
0.321323 | + | 0.946970i | \(0.395872\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 9.31427 | + | 5.37760i | 0.572171 | + | 0.330343i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 4.94525 | + | 8.56542i | 0.301517 | + | 0.522243i | 0.976480 | − | 0.215609i | \(-0.0691737\pi\) |
−0.674963 | + | 0.737852i | \(0.735840\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 5.10505 | + | 2.94740i | 0.310110 | + | 0.179042i | 0.646976 | − | 0.762511i | \(-0.276034\pi\) |
−0.336866 | + | 0.941553i | \(0.609367\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −0.915111 | + | 0.528340i | −0.0551833 | + | 0.0318601i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −11.6469 | + | 20.1731i | −0.699796 | + | 1.21208i | 0.268741 | + | 0.963213i | \(0.413392\pi\) |
−0.968537 | + | 0.248870i | \(0.919941\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −21.7962 | + | 12.5840i | −1.30025 | + | 0.750700i | −0.980447 | − | 0.196784i | \(-0.936950\pi\) |
−0.319803 | + | 0.947484i | \(0.603617\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | − | 9.96439i | − | 0.592322i | −0.955138 | − | 0.296161i | \(-0.904294\pi\) | ||
0.955138 | − | 0.296161i | \(-0.0957064\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 0.872317 | − | 1.51090i | 0.0513128 | − | 0.0888764i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −6.79065 | + | 11.7618i | −0.396714 | + | 0.687129i | −0.993318 | − | 0.115406i | \(-0.963183\pi\) |
0.596604 | + | 0.802536i | \(0.296516\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −5.56147 | − | 9.63275i | −0.323801 | − | 0.560841i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 13.6555 | 0.789717 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −4.42933 | + | 2.55728i | −0.253623 | + | 0.146429i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 16.9849i | − | 0.969381i | −0.874686 | − | 0.484691i | \(-0.838932\pi\) | ||
0.874686 | − | 0.484691i | \(-0.161068\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 0.00297881 | 0.000168913 | 8.44563e−5 | − | 1.00000i | \(-0.499973\pi\) | ||||
8.44563e−5 | 1.00000i | \(0.499973\pi\) | ||||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 12.2576i | 0.692838i | 0.938080 | + | 0.346419i | \(0.112602\pi\) | ||||
−0.938080 | + | 0.346419i | \(0.887398\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 23.0950i | 1.29714i | 0.761154 | + | 0.648571i | \(0.224633\pi\) | ||||
−0.761154 | + | 0.648571i | \(0.775367\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −2.90028 | −0.162384 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | − | 23.0911i | − | 1.28482i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 3.34697 | − | 1.93237i | 0.185656 | − | 0.107189i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −3.46213 | −0.190296 | −0.0951479 | − | 0.995463i | \(-0.530332\pi\) | ||||
−0.0951479 | + | 0.995463i | \(0.530332\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −17.5145 | − | 30.3359i | −0.956917 | − | 1.65743i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −9.13018 | + | 15.8139i | −0.497352 | + | 0.861440i | −0.999995 | − | 0.00305455i | \(-0.999028\pi\) |
0.502643 | + | 0.864494i | \(0.332361\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 0.738202 | − | 1.27860i | 0.0399759 | − | 0.0692403i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 5.33917i | 0.286622i | 0.989678 | + | 0.143311i | \(0.0457749\pi\) | ||||
−0.989678 | + | 0.143311i | \(0.954225\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 0.0136817 | − | 0.00789914i | 0.000732365 | − | 0.000422831i | −0.499634 | − | 0.866237i | \(-0.666532\pi\) |
0.500366 | + | 0.865814i | \(0.333199\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 17.1543 | − | 29.7121i | 0.913029 | − | 1.58141i | 0.103268 | − | 0.994654i | \(-0.467070\pi\) |
0.809761 | − | 0.586760i | \(-0.199597\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −20.2184 | + | 11.6731i | −1.07308 | + | 0.619544i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 5.42754 | + | 3.13359i | 0.286454 | + | 0.165385i | 0.636342 | − | 0.771407i | \(-0.280447\pi\) |
−0.349887 | + | 0.936792i | \(0.613780\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 7.97583 | + | 13.8145i | 0.419781 | + | 0.727081i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −4.52811 | − | 2.61430i | −0.237012 | − | 0.136839i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −16.4888 | − | 9.51984i | −0.860711 | − | 0.496931i | 0.00353959 | − | 0.999994i | \(-0.498873\pi\) |
−0.864250 | + | 0.503062i | \(0.832207\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −5.41901 | − | 9.38600i | −0.280586 | − | 0.485989i | 0.690943 | − | 0.722909i | \(-0.257195\pi\) |
−0.971529 | + | 0.236920i | \(0.923862\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 10.6076 | 0.546320 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 0.700312 | 0.0359726 | 0.0179863 | − | 0.999838i | \(-0.494274\pi\) | ||||
0.0179863 | + | 0.999838i | \(0.494274\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 19.0235 | + | 32.9497i | 0.972056 | + | 1.68365i | 0.689327 | + | 0.724451i | \(0.257906\pi\) |
0.282729 | + | 0.959200i | \(0.408760\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −16.6958 | − | 9.63934i | −0.846512 | − | 0.488734i | 0.0129603 | − | 0.999916i | \(-0.495875\pi\) |
−0.859473 | + | 0.511182i | \(0.829208\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 30.1874 | + | 17.4287i | 1.52664 | + | 0.881407i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −1.18959 | − | 2.06044i | −0.0598549 | − | 0.103672i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 17.3610 | + | 10.0234i | 0.871325 | + | 0.503059i | 0.867788 | − | 0.496934i | \(-0.165541\pi\) |
0.00353639 | + | 0.999994i | \(0.498874\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −26.4232 | + | 15.2554i | −1.31951 | + | 0.761820i | −0.983650 | − | 0.180092i | \(-0.942360\pi\) |
−0.335861 | + | 0.941912i | \(0.609027\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −2.69993 | + | 4.67642i | −0.134493 | + | 0.232949i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −3.29598 | + | 1.90294i | −0.163376 | + | 0.0943250i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | − | 0.173933i | − | 0.00860045i | −0.999991 | − | 0.00430023i | \(-0.998631\pi\) | ||
0.999991 | − | 0.00430023i | \(-0.00136881\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −9.48860 | + | 16.4347i | −0.465777 | + | 0.806749i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −14.0690 | + | 24.3682i | −0.687316 | + | 1.19047i | 0.285387 | + | 0.958412i | \(0.407878\pi\) |
−0.972703 | + | 0.232054i | \(0.925455\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −1.56130 | − | 2.70424i | −0.0760929 | − | 0.131797i | 0.825468 | − | 0.564449i | \(-0.190911\pi\) |
−0.901561 | + | 0.432652i | \(0.857578\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 9.86527 | 0.478536 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −8.58876 | + | 4.95872i | −0.413706 | + | 0.238853i | −0.692381 | − | 0.721532i | \(-0.743438\pi\) |
0.278675 | + | 0.960385i | \(0.410105\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 17.1274i | − | 0.823092i | −0.911389 | − | 0.411546i | \(-0.864989\pi\) | ||
0.911389 | − | 0.411546i | \(-0.135011\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −52.7616 | −2.52393 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 21.4537i | 1.02393i | 0.859006 | + | 0.511965i | \(0.171082\pi\) | ||||
−0.859006 | + | 0.511965i | \(0.828918\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | − | 6.74738i | − | 0.320578i | −0.987070 | − | 0.160289i | \(-0.948757\pi\) | ||
0.987070 | − | 0.160289i | \(-0.0512425\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −26.8222 | −1.27149 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | − | 5.81624i | − | 0.274485i | −0.990537 | − | 0.137243i | \(-0.956176\pi\) | ||
0.990537 | − | 0.137243i | \(-0.0438240\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.769801 | − | 0.444445i | 0.0362485 | − | 0.0209281i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −33.3898 | −1.56191 | −0.780954 | − | 0.624588i | \(-0.785267\pi\) | ||||
−0.780954 | + | 0.624588i | \(0.785267\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −18.5154 | − | 32.0696i | −0.862347 | − | 1.49363i | −0.869657 | − | 0.493656i | \(-0.835660\pi\) |
0.00730959 | − | 0.999973i | \(-0.497673\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 10.5618 | − | 18.2935i | 0.490848 | − | 0.850173i | −0.509097 | − | 0.860709i | \(-0.670020\pi\) |
0.999944 | + | 0.0105362i | \(0.00335383\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 9.30470 | − | 16.1162i | 0.430570 | − | 0.745770i | −0.566352 | − | 0.824163i | \(-0.691646\pi\) |
0.996922 | + | 0.0783937i | \(0.0249791\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | − | 4.83490i | − | 0.222309i | ||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −12.9319 | + | 7.46624i | −0.593356 | + | 0.342574i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 7.16703 | − | 12.4137i | 0.327470 | − | 0.567194i | −0.654539 | − | 0.756028i | \(-0.727137\pi\) |
0.982009 | + | 0.188834i | \(0.0604707\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 12.0549 | − | 6.95988i | 0.549655 | − | 0.317343i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −0.549791 | − | 0.317422i | −0.0249647 | − | 0.0144134i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −5.64829 | − | 9.78313i | −0.255949 | − | 0.443316i | 0.709204 | − | 0.705003i | \(-0.249054\pi\) |
−0.965153 | + | 0.261687i | \(0.915721\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 8.84097 | + | 5.10434i | 0.398988 | + | 0.230356i | 0.686047 | − | 0.727557i | \(-0.259344\pi\) |
−0.287059 | + | 0.957913i | \(0.592678\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 23.4496 | + | 13.5387i | 1.05612 | + | 0.609751i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 9.56672 | + | 16.5701i | 0.428265 | + | 0.741777i | 0.996719 | − | 0.0809379i | \(-0.0257915\pi\) |
−0.568454 | + | 0.822715i | \(0.692458\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 0.268917 | 0.0119904 | 0.00599520 | − | 0.999982i | \(-0.498092\pi\) | ||||
0.00599520 | + | 0.999982i | \(0.498092\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −39.1763 | −1.74332 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 10.9439 | + | 18.9553i | 0.485079 | + | 0.840181i | 0.999853 | − | 0.0171449i | \(-0.00545767\pi\) |
−0.514774 | + | 0.857326i | \(0.672124\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 25.5298 | + | 14.7396i | 1.12498 | + | 0.649506i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −0.641553 | − | 0.370401i | −0.0282155 | − | 0.0162902i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 0.856074 | + | 1.48276i | 0.0375053 | + | 0.0649610i | 0.884169 | − | 0.467168i | \(-0.154726\pi\) |
−0.846663 | + | 0.532129i | \(0.821392\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −7.16320 | − | 4.13568i | −0.313225 | − | 0.180841i | 0.335144 | − | 0.942167i | \(-0.391215\pi\) |
−0.648369 | + | 0.761326i | \(0.724548\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −11.9372 | + | 6.89193i | −0.519992 | + | 0.300217i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 28.3233 | − | 49.0574i | 1.23145 | − | 2.13293i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −2.81550 | + | 1.62553i | −0.121953 | + | 0.0704096i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 17.4393i | 0.753967i | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −10.1997 | + | 17.6664i | −0.438518 | + | 0.759536i | −0.997575 | − | 0.0695932i | \(-0.977830\pi\) |
0.559057 | + | 0.829129i | \(0.311163\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −7.07875 | + | 12.2608i | −0.303220 | + | 0.525193i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 18.9630 | + | 32.8449i | 0.810801 | + | 1.40435i | 0.912304 | + | 0.409513i | \(0.134301\pi\) |
−0.101503 | + | 0.994835i | \(0.532365\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −40.9853 | −1.74603 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −14.5919 | + | 8.42463i | −0.618278 | + | 0.356963i | −0.776198 | − | 0.630489i | \(-0.782854\pi\) |
0.157920 | + | 0.987452i | \(0.449521\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 17.6834i | 0.747928i | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −16.5607 | −0.697950 | −0.348975 | − | 0.937132i | \(-0.613470\pi\) | ||||
−0.348975 | + | 0.937132i | \(0.613470\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | − | 29.1171i | − | 1.22497i | ||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | − | 6.34919i | − | 0.266172i | −0.991104 | − | 0.133086i | \(-0.957511\pi\) | ||
0.991104 | − | 0.133086i | \(-0.0424886\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 45.7406 | 1.91418 | 0.957092 | − | 0.289785i | \(-0.0935838\pi\) | ||||
0.957092 | + | 0.289785i | \(0.0935838\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | − | 22.5414i | − | 0.940043i | ||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −15.3719 | + | 8.87497i | −0.639940 | + | 0.369470i | −0.784592 | − | 0.620013i | \(-0.787127\pi\) |
0.144651 | + | 0.989483i | \(0.453794\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 1.64016 | 0.0679287 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 4.41148 | + | 7.64091i | 0.182081 | + | 0.315374i | 0.942589 | − | 0.333955i | \(-0.108383\pi\) |
−0.760508 | + | 0.649329i | \(0.775050\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 10.4319 | − | 18.0686i | 0.429839 | − | 0.744503i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 4.24849 | − | 7.35860i | 0.174465 | − | 0.302181i | −0.765511 | − | 0.643422i | \(-0.777514\pi\) |
0.939976 | + | 0.341241i | \(0.110847\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 3.70842i | 0.151522i | 0.997126 | + | 0.0757609i | \(0.0241386\pi\) | ||||
−0.997126 | + | 0.0757609i | \(0.975861\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −6.14043 | + | 3.54518i | −0.250473 | + | 0.144611i | −0.619981 | − | 0.784617i | \(-0.712860\pi\) |
0.369508 | + | 0.929228i | \(0.379526\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 14.8482 | − | 25.7178i | 0.603664 | − | 1.04558i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 29.4396 | − | 16.9970i | 1.19492 | − | 0.689886i | 0.235500 | − | 0.971874i | \(-0.424327\pi\) |
0.959418 | + | 0.281988i | \(0.0909939\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 2.34644 | + | 1.35472i | 0.0949270 | + | 0.0548061i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −11.6761 | − | 20.2237i | −0.471595 | − | 0.816827i | 0.527877 | − | 0.849321i | \(-0.322988\pi\) |
−0.999472 | + | 0.0324944i | \(0.989655\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 39.0817 | + | 22.5638i | 1.57337 | + | 0.908386i | 0.995752 | + | 0.0920787i | \(0.0293511\pi\) |
0.577618 | + | 0.816307i | \(0.303982\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 7.97914 | + | 4.60676i | 0.320709 | + | 0.185161i | 0.651708 | − | 0.758470i | \(-0.274053\pi\) |
−0.331000 | + | 0.943631i | \(0.607386\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 15.6247 | + | 27.0627i | 0.624987 | + | 1.08251i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 35.5320 | 1.41675 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 17.6136 | 0.701188 | 0.350594 | − | 0.936528i | \(-0.385980\pi\) | ||||
0.350594 | + | 0.936528i | \(0.385980\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 14.1156 | + | 24.4489i | 0.560160 | + | 0.970226i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −16.5759 | − | 9.57009i | −0.654708 | − | 0.377996i | 0.135550 | − | 0.990771i | \(-0.456720\pi\) |
−0.790258 | + | 0.612775i | \(0.790053\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 2.01129 | + | 1.16122i | 0.0793177 | + | 0.0457941i | 0.539134 | − | 0.842220i | \(-0.318752\pi\) |
−0.459817 | + | 0.888014i | \(0.652085\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 12.9310 | + | 22.3971i | 0.508370 | + | 0.880522i | 0.999953 | + | 0.00969167i | \(0.00308500\pi\) |
−0.491583 | + | 0.870831i | \(0.663582\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −1.46899 | − | 0.848123i | −0.0576630 | − | 0.0332918i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 20.1140 | − | 11.6128i | 0.787123 | − | 0.454446i | −0.0518258 | − | 0.998656i | \(-0.516504\pi\) |
0.838949 | + | 0.544211i | \(0.183171\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −26.9681 | + | 46.7102i | −1.05373 | + | 1.82512i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −13.7002 | + | 7.90981i | −0.533684 | + | 0.308122i | −0.742515 | − | 0.669829i | \(-0.766367\pi\) |
0.208832 | + | 0.977952i | \(0.433034\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | − | 18.2450i | − | 0.709647i | −0.934933 | − | 0.354823i | \(-0.884541\pi\) | ||
0.934933 | − | 0.354823i | \(-0.115459\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 30.9349 | − | 53.5807i | 1.19780 | − | 2.07465i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −0.389984 | + | 0.675472i | −0.0150552 | + | 0.0260763i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 14.4184 | + | 24.9733i | 0.555787 | + | 0.962651i | 0.997842 | + | 0.0656633i | \(0.0209163\pi\) |
−0.442055 | + | 0.896988i | \(0.645750\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −33.5336 | −1.28880 | −0.644400 | − | 0.764689i | \(-0.722893\pi\) | ||||
−0.644400 | + | 0.764689i | \(0.722893\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 19.0943 | − | 11.0241i | 0.730621 | − | 0.421824i | −0.0880282 | − | 0.996118i | \(-0.528057\pi\) |
0.818649 | + | 0.574294i | \(0.194723\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 14.7745i | 0.564506i | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −5.99881 | −0.228537 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 26.4036i | 1.00444i | 0.864740 | + | 0.502219i | \(0.167483\pi\) | ||||
−0.864740 | + | 0.502219i | \(0.832517\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | − | 46.8311i | − | 1.77641i | ||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −8.29877 | −0.314338 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 20.5140i | 0.774804i | 0.921911 | + | 0.387402i | \(0.126627\pi\) | ||||
−0.921911 | + | 0.387402i | \(0.873373\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −46.5772 | + | 26.8913i | −1.75669 | + | 1.01423i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −6.26109 | −0.235140 | −0.117570 | − | 0.993065i | \(-0.537510\pi\) | ||||
−0.117570 | + | 0.993065i | \(0.537510\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 15.7476 | + | 27.2756i | 0.589751 | + | 1.02148i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0.878041 | − | 1.52081i | 0.0328369 | − | 0.0568751i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −11.6111 | + | 20.1111i | −0.433023 | + | 0.750017i | −0.997132 | − | 0.0756828i | \(-0.975886\pi\) |
0.564109 | + | 0.825700i | \(0.309220\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | − | 17.5102i | − | 0.650314i | ||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −2.50999 | + | 1.44914i | −0.0930903 | + | 0.0537457i | −0.545822 | − | 0.837901i | \(-0.683783\pi\) |
0.452732 | + | 0.891647i | \(0.350449\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −22.5696 | + | 39.0917i | −0.834767 | + | 1.44586i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −10.2963 | + | 5.94457i | −0.380302 | + | 0.219568i | −0.677950 | − | 0.735108i | \(-0.737131\pi\) |
0.297647 | + | 0.954676i | \(0.403798\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −4.62622 | − | 2.67095i | −0.170409 | − | 0.0983858i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 17.2254 | + | 29.8354i | 0.633648 | + | 1.09751i | 0.986800 | + | 0.161945i | \(0.0517767\pi\) |
−0.353151 | + | 0.935566i | \(0.614890\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 2.44069 | + | 1.40913i | 0.0895401 | + | 0.0516960i | 0.544101 | − | 0.839019i | \(-0.316871\pi\) |
−0.454561 | + | 0.890715i | \(0.650204\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −25.5447 | − | 14.7483i | −0.935887 | − | 0.540335i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −3.86045 | − | 6.68649i | −0.140870 | − | 0.243993i | 0.786955 | − | 0.617011i | \(-0.211657\pi\) |
−0.927824 | + | 0.373017i | \(0.878323\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −20.7517 | −0.755233 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 1.17924 | 0.0428603 | 0.0214302 | − | 0.999770i | \(-0.493178\pi\) | ||||
0.0214302 | + | 0.999770i | \(0.493178\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −1.56644 | − | 2.71316i | −0.0567835 | − | 0.0983520i | 0.836236 | − | 0.548369i | \(-0.184751\pi\) |
−0.893020 | + | 0.450017i | \(0.851418\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 5.37276 | + | 3.10196i | 0.193999 | + | 0.112005i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −5.53497 | − | 3.19562i | −0.199596 | − | 0.115237i | 0.396871 | − | 0.917874i | \(-0.370096\pi\) |
−0.596467 | + | 0.802637i | \(0.703429\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 23.9779 | + | 41.5309i | 0.862425 | + | 1.49376i | 0.869581 | + | 0.493790i | \(0.164389\pi\) |
−0.00715621 | + | 0.999974i | \(0.502278\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 7.71948 | + | 4.45685i | 0.277292 | + | 0.160095i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 10.8784 | − | 6.28067i | 0.389761 | − | 0.225028i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −1.78015 | + | 3.08331i | −0.0636987 | + | 0.110329i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 29.1661 | − | 16.8390i | 1.04098 | − | 0.601011i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 6.04066i | 0.215326i | 0.994187 | + | 0.107663i | \(0.0343368\pi\) | ||||
−0.994187 | + | 0.107663i | \(0.965663\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 1.42635 | − | 2.47050i | 0.0506510 | − | 0.0877301i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 0.782501 | − | 1.35533i | 0.0277176 | − | 0.0480083i | −0.851834 | − | 0.523812i | \(-0.824509\pi\) |
0.879551 | + | 0.475804i | \(0.157843\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 3.45810 | + | 5.98961i | 0.122339 | + | 0.211897i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −0.797361 | −0.0281383 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 15.3445 | − | 8.85918i | 0.539485 | − | 0.311472i | −0.205385 | − | 0.978681i | \(-0.565845\pi\) |
0.744870 | + | 0.667209i | \(0.232511\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 27.5261i | − | 0.966571i | −0.875463 | − | 0.483285i | \(-0.839443\pi\) | ||
0.875463 | − | 0.483285i | \(-0.160557\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 32.4669 | 1.13727 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | − | 68.3245i | − | 2.39037i | ||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 26.5977i | 0.928267i | 0.885765 | + | 0.464134i | \(0.153634\pi\) | ||||
−0.885765 | + | 0.464134i | \(0.846366\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 24.1595 | 0.842146 | 0.421073 | − | 0.907027i | \(-0.361654\pi\) | ||||
0.421073 | + | 0.907027i | \(0.361654\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 9.64923i | 0.335537i | 0.985826 | + | 0.167768i | \(0.0536561\pi\) | ||||
−0.985826 | + | 0.167768i | \(0.946344\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 25.1481 | − | 14.5193i | 0.873430 | − | 0.504275i | 0.00494329 | − | 0.999988i | \(-0.498426\pi\) |
0.868486 | + | 0.495713i | \(0.165093\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 37.2462 | 1.28896 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 6.84383 | + | 11.8539i | 0.236275 | + | 0.409241i | 0.959642 | − | 0.281223i | \(-0.0907400\pi\) |
−0.723367 | + | 0.690463i | \(0.757407\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 9.53027 | − | 16.5069i | 0.328630 | − | 0.569204i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 14.6202 | − | 25.3229i | 0.502949 | − | 0.871134i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | − | 81.1881i | − | 2.78309i | ||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −40.5184 | + | 23.3933i | −1.38732 | + | 0.800972i | −0.993013 | − | 0.118006i | \(-0.962350\pi\) |
−0.394310 | + | 0.918977i | \(0.629017\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 15.8980 | − | 27.5361i | 0.543065 | − | 0.940616i | −0.455661 | − | 0.890153i | \(-0.650597\pi\) |
0.998726 | − | 0.0504623i | \(-0.0160695\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −21.9005 | + | 12.6442i | −0.747235 | + | 0.431416i | −0.824694 | − | 0.565579i | \(-0.808653\pi\) |
0.0774592 | + | 0.996996i | \(0.475319\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −15.9513 | − | 9.20946i | −0.542987 | − | 0.313494i | 0.203302 | − | 0.979116i | \(-0.434833\pi\) |
−0.746289 | + | 0.665622i | \(0.768166\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −22.7993 | − | 39.4896i | −0.775200 | − | 1.34269i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −0.314216 | − | 0.181413i | −0.0106590 | − | 0.00615400i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 16.9202 | + | 9.76886i | 0.573318 | + | 0.331005i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 4.44695 | + | 7.70234i | 0.150163 | + | 0.260089i | 0.931287 | − | 0.364286i | \(-0.118687\pi\) |
−0.781124 | + | 0.624375i | \(0.785354\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 13.1721 | 0.443780 | 0.221890 | − | 0.975072i | \(-0.428777\pi\) | ||||
0.221890 | + | 0.975072i | \(0.428777\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 12.6729 | 0.426477 | 0.213239 | − | 0.977000i | \(-0.431599\pi\) | ||||
0.213239 | + | 0.977000i | \(0.431599\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −16.6991 | − | 28.9238i | −0.560703 | − | 0.971165i | −0.997435 | − | 0.0715740i | \(-0.977198\pi\) |
0.436733 | − | 0.899591i | \(-0.356136\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −9.06611 | − | 5.23432i | −0.303386 | − | 0.175160i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −40.6231 | − | 23.4538i | −1.35788 | − | 0.783974i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 12.2328 | + | 21.1877i | 0.407985 | + | 0.706651i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −13.2612 | − | 7.65638i | −0.441796 | − | 0.255071i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −43.2799 | + | 24.9877i | −1.43867 | + | 0.830618i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 14.6563 | − | 25.3855i | 0.486655 | − | 0.842912i | −0.513227 | − | 0.858253i | \(-0.671550\pi\) |
0.999882 | + | 0.0153411i | \(0.00488340\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −1.72555 | + | 0.996246i | −0.0571700 | + | 0.0330071i | −0.528313 | − | 0.849050i | \(-0.677175\pi\) |
0.471143 | + | 0.882057i | \(0.343842\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 2.89402i | 0.0957780i | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −0.897678 | + | 1.55482i | −0.0296117 | + | 0.0512889i | −0.880451 | − | 0.474136i | \(-0.842760\pi\) |
0.850840 | + | 0.525425i | \(0.176094\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 6.51079 | − | 11.2770i | 0.214305 | − | 0.371188i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −11.4889 | − | 19.8993i | −0.377751 | − | 0.654284i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −24.8356 | −0.814831 | −0.407415 | − | 0.913243i | \(-0.633570\pi\) | ||||
−0.407415 | + | 0.913243i | \(0.633570\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 3.88207 | − | 2.24132i | 0.126957 | − | 0.0732988i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 27.9046i | − | 0.911605i | −0.890081 | − | 0.455802i | \(-0.849352\pi\) | ||
0.890081 | − | 0.455802i | \(-0.150648\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 52.5075 | 1.71169 | 0.855847 | − | 0.517229i | \(-0.173036\pi\) | ||||
0.855847 | + | 0.517229i | \(0.173036\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 18.9621i | 0.617490i | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | − | 43.1385i | − | 1.40181i | −0.713253 | − | 0.700907i | \(-0.752779\pi\) | ||
0.713253 | − | 0.700907i | \(-0.247221\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 2.91631 | 0.0946673 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 59.9829i | 1.94304i | 0.236965 | + | 0.971518i | \(0.423847\pi\) | ||||
−0.236965 | + | 0.971518i | \(0.576153\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 49.8899 | − | 28.8040i | 1.61440 | − | 0.932074i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 18.5457 | 0.598248 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −9.56709 | − | 16.5707i | −0.307975 | − | 0.533429i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −26.6398 | + | 46.1414i | −0.856677 | + | 1.48381i | 0.0184029 | + | 0.999831i | \(0.494142\pi\) |
−0.875080 | + | 0.483978i | \(0.839191\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 28.1556 | − | 48.7669i | 0.903555 | − | 1.56500i | 0.0807100 | − | 0.996738i | \(-0.474281\pi\) |
0.822845 | − | 0.568266i | \(-0.192385\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 26.0679i | 0.833988i | 0.908909 | + | 0.416994i | \(0.136916\pi\) | ||||
−0.908909 | + | 0.416994i | \(0.863084\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −3.54237 | + | 2.04519i | −0.113215 | + | 0.0653646i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 19.0252 | − | 32.9527i | 0.606811 | − | 1.05103i | −0.384952 | − | 0.922937i | \(-0.625782\pi\) |
0.991763 | − | 0.128090i | \(-0.0408848\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 38.1922 | − | 22.0503i | 1.21690 | − | 0.702580i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 89.3217 | + | 51.5699i | 2.84026 | + | 1.63983i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −5.68758 | − | 9.85118i | −0.180672 | − | 0.312933i | 0.761438 | − | 0.648238i | \(-0.224494\pi\) |
−0.942110 | + | 0.335305i | \(0.891161\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 14.9499 | + | 8.63131i | 0.473943 | + | 0.273631i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 44.1590 | + | 25.4952i | 1.39853 | + | 0.807441i | 0.994239 | − | 0.107189i | \(-0.0341851\pi\) |
0.404290 | + | 0.914631i | \(0.367518\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))