Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [432,3,Mod(17,432)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(432, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 5]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("432.17");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 432 = 2^{4} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 432.q (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: | \(11.7711474204\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\Q(\sqrt{-2}, \sqrt{-3})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - 2x^{2} + 4 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 3^{2} \) |
Twist minimal: | no (minimal twist has level 18) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 17.2 | ||
Root | \(1.22474 + 0.707107i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 432.17 |
Dual form | 432.3.q.d.305.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/432\mathbb{Z}\right)^\times\).
\(n\) | \(271\) | \(325\) | \(353\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{5}{6}\right)\) |
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 | ||||||||
\(5\) | 4.50000 | + | 2.59808i | 0.900000 | + | 0.519615i | 0.877200 | − | 0.480125i | \(-0.159409\pi\) |
0.0227998 | + | 0.999740i | \(0.492742\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 3.17423 | + | 5.49794i | 0.453462 | + | 0.785419i | 0.998598 | − | 0.0529281i | \(-0.0168554\pi\) |
−0.545136 | + | 0.838347i | \(0.683522\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 8.17423 | − | 4.71940i | 0.743112 | − | 0.429036i | −0.0800876 | − | 0.996788i | \(-0.525520\pi\) |
0.823200 | + | 0.567752i | \(0.192187\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −9.84847 | + | 17.0580i | −0.757575 | + | 1.31216i | 0.186510 | + | 0.982453i | \(0.440282\pi\) |
−0.944084 | + | 0.329704i | \(0.893051\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | − | 1.90702i | − | 0.112178i | −0.998426 | − | 0.0560889i | \(-0.982137\pi\) | ||
0.998426 | − | 0.0560889i | \(-0.0178630\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −4.69694 | −0.247207 | −0.123604 | − | 0.992332i | \(-0.539445\pi\) | ||||
−0.123604 | + | 0.992332i | \(0.539445\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 8.17423 | + | 4.71940i | 0.355402 | + | 0.205191i | 0.667062 | − | 0.745002i | \(-0.267552\pi\) |
−0.311660 | + | 0.950194i | \(0.600885\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.00000 | + | 1.73205i | 0.0400000 | + | 0.0692820i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 2.84847 | − | 1.64456i | 0.0982231 | − | 0.0567091i | −0.450084 | − | 0.892986i | \(-0.648606\pi\) |
0.548307 | + | 0.836277i | \(0.315273\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −20.5227 | + | 35.5464i | −0.662023 | + | 1.14666i | 0.318061 | + | 0.948070i | \(0.396968\pi\) |
−0.980083 | + | 0.198587i | \(0.936365\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 32.9876i | 0.942503i | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 17.3031 | 0.467650 | 0.233825 | − | 0.972279i | \(-0.424876\pi\) | ||||
0.233825 | + | 0.972279i | \(0.424876\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 53.5454 | + | 30.9145i | 1.30599 | + | 0.754011i | 0.981424 | − | 0.191853i | \(-0.0614498\pi\) |
0.324562 | + | 0.945864i | \(0.394783\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.477296 | + | 0.826701i | 0.0110999 | + | 0.0192256i | 0.871522 | − | 0.490356i | \(-0.163133\pi\) |
−0.860422 | + | 0.509582i | \(0.829800\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −12.2196 | + | 7.05501i | −0.259992 | + | 0.150107i | −0.624331 | − | 0.781160i | \(-0.714628\pi\) |
0.364339 | + | 0.931267i | \(0.381295\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 4.34847 | − | 7.53177i | 0.0887443 | − | 0.153710i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | − | 9.53512i | − | 0.179908i | −0.995946 | − | 0.0899539i | \(-0.971328\pi\) | ||
0.995946 | − | 0.0899539i | \(-0.0286720\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 49.0454 | 0.891735 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 79.2650 | + | 45.7637i | 1.34348 | + | 0.775656i | 0.987316 | − | 0.158769i | \(-0.0507526\pi\) |
0.356160 | + | 0.934425i | \(0.384086\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 37.5454 | + | 65.0306i | 0.615498 | + | 1.06607i | 0.990297 | + | 0.138968i | \(0.0443786\pi\) |
−0.374798 | + | 0.927106i | \(0.622288\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −88.6362 | + | 51.1741i | −1.36363 | + | 0.787295i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 15.4773 | − | 26.8075i | 0.231004 | − | 0.400111i | −0.727100 | − | 0.686532i | \(-0.759132\pi\) |
0.958104 | + | 0.286421i | \(0.0924655\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | − | 85.9026i | − | 1.20990i | −0.796265 | − | 0.604948i | \(-0.793194\pi\) | ||
0.796265 | − | 0.604948i | \(-0.206806\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −96.0908 | −1.31631 | −0.658156 | − | 0.752881i | \(-0.728663\pi\) | ||||
−0.658156 | + | 0.752881i | \(0.728663\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 51.8939 | + | 29.9609i | 0.673946 | + | 0.389103i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 14.8712 | + | 25.7576i | 0.188243 | + | 0.326046i | 0.944664 | − | 0.328038i | \(-0.106388\pi\) |
−0.756422 | + | 0.654084i | \(0.773054\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −76.1288 | + | 43.9530i | −0.917215 | + | 0.529554i | −0.882745 | − | 0.469852i | \(-0.844307\pi\) |
−0.0344693 | + | 0.999406i | \(0.510974\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 4.95459 | − | 8.58161i | 0.0582893 | − | 0.100960i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | − | 41.3766i | − | 0.464905i | −0.972608 | − | 0.232453i | \(-0.925325\pi\) | ||
0.972608 | − | 0.232453i | \(-0.0746751\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −125.045 | −1.37413 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −21.1362 | − | 12.2030i | −0.222487 | − | 0.128453i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −47.9393 | − | 83.0333i | −0.494219 | − | 0.856013i | 0.505758 | − | 0.862675i | \(-0.331213\pi\) |
−0.999978 | + | 0.00666202i | \(0.997879\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 136.772 | − | 78.9656i | 1.35418 | − | 0.781838i | 0.365350 | − | 0.930870i | \(-0.380949\pi\) |
0.988832 | + | 0.149032i | \(0.0476159\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 14.5681 | − | 25.2327i | 0.141438 | − | 0.244978i | −0.786600 | − | 0.617462i | \(-0.788161\pi\) |
0.928038 | + | 0.372485i | \(0.121494\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | − | 171.805i | − | 1.60566i | −0.596210 | − | 0.802829i | \(-0.703327\pi\) | ||
0.596210 | − | 0.802829i | \(-0.296673\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 116.272 | 1.06672 | 0.533360 | − | 0.845888i | \(-0.320929\pi\) | ||||
0.533360 | + | 0.845888i | \(0.320929\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −175.166 | − | 101.132i | −1.55014 | − | 0.894976i | −0.998129 | − | 0.0611424i | \(-0.980526\pi\) |
−0.552015 | − | 0.833834i | \(-0.686141\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 24.5227 | + | 42.4746i | 0.213241 | + | 0.369344i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 10.4847 | − | 6.05334i | 0.0881067 | − | 0.0508684i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −15.9546 | + | 27.6342i | −0.131856 | + | 0.228382i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | − | 119.512i | − | 0.956092i | ||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −10.0908 | −0.0794552 | −0.0397276 | − | 0.999211i | \(-0.512649\pi\) | ||||
−0.0397276 | + | 0.999211i | \(0.512649\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 4.29567 | + | 2.48010i | 0.0327913 | + | 0.0189321i | 0.516306 | − | 0.856404i | \(-0.327307\pi\) |
−0.483515 | + | 0.875336i | \(0.660640\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −14.9092 | − | 25.8235i | −0.112099 | − | 0.194161i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −203.242 | + | 117.342i | −1.48352 | + | 0.856511i | −0.999825 | − | 0.0187249i | \(-0.994039\pi\) |
−0.483696 | + | 0.875236i | \(0.660706\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 53.2650 | − | 92.2578i | 0.383202 | − | 0.663725i | −0.608316 | − | 0.793695i | \(-0.708155\pi\) |
0.991518 | + | 0.129970i | \(0.0414881\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 185.915i | 1.30011i | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 17.0908 | 0.117868 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 91.0301 | + | 52.5563i | 0.610940 | + | 0.352727i | 0.773333 | − | 0.634000i | \(-0.218588\pi\) |
−0.162393 | + | 0.986726i | \(0.551921\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −142.614 | − | 247.014i | −0.944460 | − | 1.63585i | −0.756828 | − | 0.653614i | \(-0.773252\pi\) |
−0.187632 | − | 0.982239i | \(-0.560081\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −184.704 | + | 106.639i | −1.19164 | + | 0.687994i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 98.5908 | − | 170.764i | 0.627967 | − | 1.08767i | −0.359992 | − | 0.932955i | \(-0.617221\pi\) |
0.987959 | − | 0.154715i | \(-0.0494460\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 59.9219i | 0.372186i | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 249.060 | 1.52798 | 0.763988 | − | 0.645230i | \(-0.223238\pi\) | ||||
0.763988 | + | 0.645230i | \(0.223238\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −41.9472 | − | 24.2182i | −0.251181 | − | 0.145019i | 0.369124 | − | 0.929380i | \(-0.379658\pi\) |
−0.620305 | + | 0.784361i | \(0.712991\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −109.485 | − | 189.633i | −0.647838 | − | 1.12209i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −86.9847 | + | 50.2206i | −0.502802 | + | 0.290293i | −0.729870 | − | 0.683586i | \(-0.760419\pi\) |
0.227068 | + | 0.973879i | \(0.427086\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −6.34847 | + | 10.9959i | −0.0362770 | + | 0.0628336i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | − | 285.071i | − | 1.59257i | −0.604919 | − | 0.796287i | \(-0.706794\pi\) | ||
0.604919 | − | 0.796287i | \(-0.293206\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 37.1214 | 0.205091 | 0.102545 | − | 0.994728i | \(-0.467301\pi\) | ||||
0.102545 | + | 0.994728i | \(0.467301\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 77.8638 | + | 44.9547i | 0.420885 | + | 0.242998i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −9.00000 | − | 15.5885i | −0.0481283 | − | 0.0833607i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −15.5227 | + | 8.96204i | −0.0812707 | + | 0.0469217i | −0.540085 | − | 0.841611i | \(-0.681608\pi\) |
0.458814 | + | 0.888532i | \(0.348274\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 47.7270 | − | 82.6657i | 0.247290 | − | 0.428319i | −0.715483 | − | 0.698630i | \(-0.753793\pi\) |
0.962773 | + | 0.270311i | \(0.0871265\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | − | 160.363i | − | 0.814026i | −0.913422 | − | 0.407013i | \(-0.866570\pi\) | ||
0.913422 | − | 0.407013i | \(-0.133430\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −6.51531 | −0.0327402 | −0.0163701 | − | 0.999866i | \(-0.505211\pi\) | ||||
−0.0163701 | + | 0.999866i | \(0.505211\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 18.0834 | + | 10.4405i | 0.0890809 | + | 0.0514309i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 160.636 | + | 278.230i | 0.783591 | + | 1.35722i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −38.3939 | + | 22.1667i | −0.183703 | + | 0.106061i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −77.2196 | + | 133.748i | −0.365970 | + | 0.633878i | −0.988931 | − | 0.148374i | \(-0.952596\pi\) |
0.622961 | + | 0.782253i | \(0.285929\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 4.96021i | 0.0230707i | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −260.576 | −1.20081 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 32.5301 | + | 18.7813i | 0.147195 | + | 0.0849831i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 46.3865 | + | 80.3437i | 0.208011 | + | 0.360286i | 0.951088 | − | 0.308920i | \(-0.0999676\pi\) |
−0.743077 | + | 0.669206i | \(0.766634\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 147.053 | − | 84.9010i | 0.647810 | − | 0.374013i | −0.139807 | − | 0.990179i | \(-0.544648\pi\) |
0.787617 | + | 0.616166i | \(0.211315\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −203.772 | + | 352.944i | −0.889836 | + | 1.54124i | −0.0497675 | + | 0.998761i | \(0.515848\pi\) |
−0.840068 | + | 0.542480i | \(0.817485\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | − | 15.2562i | − | 0.0654772i | −0.999464 | − | 0.0327386i | \(-0.989577\pi\) | ||
0.999464 | − | 0.0327386i | \(-0.0104229\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −73.3179 | −0.311991 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 48.9620 | + | 28.2682i | 0.204862 | + | 0.118277i | 0.598921 | − | 0.800808i | \(-0.295596\pi\) |
−0.394059 | + | 0.919085i | \(0.628930\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −42.1061 | − | 72.9299i | −0.174714 | − | 0.302614i | 0.765348 | − | 0.643617i | \(-0.222567\pi\) |
−0.940062 | + | 0.341003i | \(0.889233\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 39.1362 | − | 22.5953i | 0.159740 | − | 0.0922258i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 46.2577 | − | 80.1206i | 0.187278 | − | 0.324375i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 218.903i | 0.872123i | 0.899917 | + | 0.436062i | \(0.143627\pi\) | ||||
−0.899917 | + | 0.436062i | \(0.856373\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 89.0908 | 0.352138 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 11.1061 | + | 6.41212i | 0.0432145 | + | 0.0249499i | 0.521452 | − | 0.853281i | \(-0.325391\pi\) |
−0.478237 | + | 0.878231i | \(0.658724\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 54.9240 | + | 95.1311i | 0.212062 | + | 0.367302i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 291.386 | − | 168.232i | 1.10793 | − | 0.639666i | 0.169640 | − | 0.985506i | \(-0.445739\pi\) |
0.938293 | + | 0.345840i | \(0.112406\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 24.7730 | − | 42.9080i | 0.0934829 | − | 0.161917i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | − | 60.4468i | − | 0.224709i | −0.993668 | − | 0.112355i | \(-0.964161\pi\) | ||
0.993668 | − | 0.112355i | \(-0.0358393\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −274.636 | −1.01342 | −0.506708 | − | 0.862118i | \(-0.669138\pi\) | ||||
−0.506708 | + | 0.862118i | \(0.669138\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 16.3485 | + | 9.43879i | 0.0594490 | + | 0.0343229i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 24.5000 | + | 42.4352i | 0.0884477 | + | 0.153196i | 0.906855 | − | 0.421442i | \(-0.138476\pi\) |
−0.818407 | + | 0.574638i | \(0.805143\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 297.121 | − | 171.543i | 1.05737 | − | 0.610473i | 0.132666 | − | 0.991161i | \(-0.457646\pi\) |
0.924704 | + | 0.380688i | \(0.124313\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −171.704 | + | 297.401i | −0.606729 | + | 1.05089i | 0.385047 | + | 0.922897i | \(0.374185\pi\) |
−0.991776 | + | 0.127988i | \(0.959148\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 392.519i | 1.36766i | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 285.363 | 0.987416 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 248.076 | + | 143.226i | 0.846674 | + | 0.488828i | 0.859527 | − | 0.511090i | \(-0.170758\pi\) |
−0.0128532 | + | 0.999917i | \(0.504091\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 237.795 | + | 411.873i | 0.806085 | + | 1.39618i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −161.007 | + | 92.9577i | −0.538486 | + | 0.310895i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −3.03010 | + | 5.24829i | −0.0100668 | + | 0.0174362i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 390.183i | 1.27929i | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −154.091 | −0.501924 | −0.250962 | − | 0.967997i | \(-0.580747\pi\) | ||||
−0.250962 | + | 0.967997i | \(0.580747\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −62.3411 | − | 35.9926i | −0.200454 | − | 0.115732i | 0.396413 | − | 0.918072i | \(-0.370255\pi\) |
−0.596867 | + | 0.802340i | \(0.703588\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 183.803 | + | 318.356i | 0.587230 | + | 1.01711i | 0.994593 | + | 0.103846i | \(0.0331150\pi\) |
−0.407363 | + | 0.913266i | \(0.633552\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 93.1821 | − | 53.7987i | 0.293950 | − | 0.169712i | −0.345772 | − | 0.938319i | \(-0.612383\pi\) |
0.639722 | + | 0.768607i | \(0.279050\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 15.5227 | − | 26.8861i | 0.0486605 | − | 0.0842825i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 8.95717i | 0.0277312i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −39.3939 | −0.121212 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −77.5760 | − | 44.7885i | −0.235793 | − | 0.136135i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 8.59873 | + | 14.8934i | 0.0259780 | + | 0.0449953i | 0.878722 | − | 0.477334i | \(-0.158397\pi\) |
−0.852744 | + | 0.522329i | \(0.825063\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 139.296 | − | 80.4224i | 0.415808 | − | 0.240067i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −182.197 | + | 315.574i | −0.540644 | + | 0.936422i | 0.458223 | + | 0.888837i | \(0.348486\pi\) |
−0.998867 | + | 0.0475854i | \(0.984847\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 387.419i | 1.13613i | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 366.287 | 1.06789 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 505.234 | + | 291.697i | 1.45601 | + | 0.840626i | 0.998811 | − | 0.0487402i | \(-0.0155206\pi\) |
0.457196 | + | 0.889366i | \(0.348854\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −156.379 | − | 270.856i | −0.448076 | − | 0.776091i | 0.550185 | − | 0.835043i | \(-0.314557\pi\) |
−0.998261 | + | 0.0589524i | \(0.981224\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 32.5760 | − | 18.8078i | 0.0922834 | − | 0.0532798i | −0.453148 | − | 0.891435i | \(-0.649699\pi\) |
0.545431 | + | 0.838155i | \(0.316366\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 223.182 | − | 386.562i | 0.628681 | − | 1.08891i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | − | 294.028i | − | 0.819019i | −0.912306 | − | 0.409510i | \(-0.865700\pi\) | ||
0.912306 | − | 0.409510i | \(-0.134300\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −338.939 | −0.938889 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −432.409 | − | 249.651i | −1.18468 | − | 0.683976i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −16.6135 | − | 28.7755i | −0.0452684 | − | 0.0784072i | 0.842503 | − | 0.538691i | \(-0.181081\pi\) |
−0.887772 | + | 0.460284i | \(0.847748\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 52.4235 | − | 30.2667i | 0.141303 | − | 0.0815814i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 112.515 | − | 194.881i | 0.301648 | − | 0.522470i | −0.674861 | − | 0.737945i | \(-0.735797\pi\) |
0.976509 | + | 0.215475i | \(0.0691299\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 64.7858i | 0.171846i | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 166.334 | 0.438875 | 0.219438 | − | 0.975627i | \(-0.429578\pi\) | ||||
0.219438 | + | 0.975627i | \(0.429578\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −638.249 | − | 368.493i | −1.66645 | − | 0.962124i | −0.969530 | − | 0.244972i | \(-0.921221\pi\) |
−0.696917 | − | 0.717152i | \(-0.745445\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 155.682 | + | 269.648i | 0.404368 | + | 0.700386i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 146.682 | − | 84.6867i | 0.377074 | − | 0.217704i | −0.299471 | − | 0.954106i | \(-0.596810\pi\) |
0.676544 | + | 0.736402i | \(0.263477\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 9.00000 | − | 15.5885i | 0.0230179 | − | 0.0398682i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 154.546i | 0.391255i | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −256.272 | −0.645523 | −0.322761 | − | 0.946480i | \(-0.604611\pi\) | ||||
−0.322761 | + | 0.946480i | \(0.604611\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −226.364 | − | 130.691i | −0.564498 | − | 0.325913i | 0.190451 | − | 0.981697i | \(-0.439005\pi\) |
−0.754949 | + | 0.655784i | \(0.772338\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −404.234 | − | 700.155i | −1.00306 | − | 1.73736i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 141.439 | − | 81.6600i | 0.347517 | − | 0.200639i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 221.894 | − | 384.331i | 0.542528 | − | 0.939686i | −0.456230 | − | 0.889862i | \(-0.650801\pi\) |
0.998758 | − | 0.0498240i | \(-0.0158660\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 581.059i | 1.40692i | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −456.773 | −1.10066 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 9.32525 | + | 5.38394i | 0.0222560 | + | 0.0128495i | 0.511087 | − | 0.859529i | \(-0.329243\pi\) |
−0.488831 | + | 0.872379i | \(0.662576\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −127.152 | − | 220.233i | −0.302023 | − | 0.523119i | 0.674571 | − | 0.738210i | \(-0.264328\pi\) |
−0.976594 | + | 0.215091i | \(0.930995\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 3.30306 | − | 1.90702i | 0.00777191 | − | 0.00448711i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −238.356 | + | 412.844i | −0.558210 | + | 0.966849i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 698.663i | 1.62103i | 0.585719 | + | 0.810514i | \(0.300812\pi\) | ||||
−0.585719 | + | 0.810514i | \(0.699188\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 211.728 | 0.488978 | 0.244489 | − | 0.969652i | \(-0.421380\pi\) | ||||
0.244489 | + | 0.969652i | \(0.421380\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −38.3939 | − | 22.1667i | −0.0878578 | − | 0.0507247i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 139.931 | + | 242.368i | 0.318750 | + | 0.552092i | 0.980228 | − | 0.197874i | \(-0.0634035\pi\) |
−0.661477 | + | 0.749965i | \(0.730070\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −477.400 | + | 275.627i | −1.07765 | + | 0.622183i | −0.930262 | − | 0.366895i | \(-0.880421\pi\) |
−0.147391 | + | 0.989078i | \(0.547087\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 107.499 | − | 186.195i | 0.241572 | − | 0.418415i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | − | 542.865i | − | 1.20905i | −0.796585 | − | 0.604527i | \(-0.793362\pi\) | ||
0.796585 | − | 0.604527i | \(-0.206638\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 583.590 | 1.29399 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −562.704 | − | 324.877i | −1.23671 | − | 0.714016i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −46.1821 | − | 79.9898i | −0.101055 | − | 0.175032i | 0.811065 | − | 0.584957i | \(-0.198888\pi\) |
−0.912120 | + | 0.409924i | \(0.865555\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 199.030 | − | 114.910i | 0.431736 | − | 0.249263i | −0.268350 | − | 0.963321i | \(-0.586478\pi\) |
0.700086 | + | 0.714059i | \(0.253145\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −255.401 | + | 442.368i | −0.551623 | + | 0.955438i | 0.446535 | + | 0.894766i | \(0.352658\pi\) |
−0.998158 | + | 0.0606723i | \(0.980676\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | − | 833.657i | − | 1.78513i | −0.450915 | − | 0.892567i | \(-0.648902\pi\) | ||
0.450915 | − | 0.892567i | \(-0.351098\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 196.514 | 0.419007 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 7.80306 | + | 4.50510i | 0.0164970 | + | 0.00952452i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −4.69694 | − | 8.13534i | −0.00988829 | − | 0.0171270i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 569.144 | − | 328.595i | 1.18819 | − | 0.686003i | 0.230296 | − | 0.973121i | \(-0.426031\pi\) |
0.957895 | + | 0.287118i | \(0.0926972\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −170.409 | + | 295.156i | −0.354280 | + | 0.613631i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | − | 498.200i | − | 1.02722i | ||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 351.666 | 0.722107 | 0.361054 | − | 0.932545i | \(-0.382417\pi\) | ||||
0.361054 | + | 0.932545i | \(0.382417\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 212.539 | + | 122.709i | 0.432869 | + | 0.249917i | 0.700568 | − | 0.713586i | \(-0.252930\pi\) |
−0.267699 | + | 0.963503i | \(0.586263\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −3.13622 | − | 5.43210i | −0.00636151 | − | 0.0110185i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 472.287 | − | 272.675i | 0.950276 | − | 0.548642i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 315.113 | − | 545.792i | 0.631489 | − | 1.09377i | −0.355758 | − | 0.934578i | \(-0.615777\pi\) |
0.987247 | − | 0.159193i | \(-0.0508892\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 286.891i | 0.570360i | 0.958474 | + | 0.285180i | \(0.0920534\pi\) | ||||
−0.958474 | + | 0.285180i | \(0.907947\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 820.635 | 1.62502 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −755.454 | − | 436.161i | −1.48419 | − | 0.856898i | −0.484353 | − | 0.874873i | \(-0.660945\pi\) |
−0.999838 | + | 0.0179741i | \(0.994278\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −305.015 | − | 528.301i | −0.596898 | − | 1.03386i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 131.113 | − | 75.6981i | 0.254588 | − | 0.146987i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −66.5908 | + | 115.339i | −0.128802 | + | 0.223092i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | − | 206.132i | − | 0.395646i | −0.980238 | − | 0.197823i | \(-0.936613\pi\) | ||
0.980238 | − | 0.197823i | \(-0.0633872\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −884.817 | −1.69181 | −0.845906 | − | 0.533333i | \(-0.820939\pi\) | ||||
−0.845906 | + | 0.533333i | \(0.820939\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 67.7878 | + | 39.1373i | 0.128630 | + | 0.0742643i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −219.955 | − | 380.973i | −0.415793 | − | 0.720175i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −1054.68 | + | 608.920i | −1.97876 | + | 1.14244i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 446.363 | − | 773.124i | 0.834324 | − | 1.44509i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | − | 82.0886i | − | 0.152298i | ||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −509.151 | −0.941129 | −0.470565 | − | 0.882365i | \(-0.655950\pi\) | ||||
−0.470565 | + | 0.882365i | \(0.655950\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 523.226 | + | 302.085i | 0.960048 | + | 0.554284i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 274.022 | + | 474.620i | 0.500955 | + | 0.867679i | 0.999999 | + | 0.00110267i | \(0.000350992\pi\) |
−0.499045 | + | 0.866576i | \(0.666316\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −13.3791 | + | 7.72442i | −0.0242815 | + | 0.0140189i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −94.4092 | + | 163.522i | −0.170722 | + | 0.295699i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 406.542i | 0.729879i | 0.931031 | + | 0.364939i | \(0.118910\pi\) | ||||
−0.931031 | + | 0.364939i | \(0.881090\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −18.8025 | −0.0336360 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −525.220 | − | 303.236i | −0.932895 | − | 0.538607i | −0.0451687 | − | 0.998979i | \(-0.514383\pi\) |
−0.887726 | + | 0.460372i | \(0.847716\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −525.499 | − | 910.191i | −0.930087 | − | 1.61096i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 224.954 | − | 129.877i | 0.395350 | − | 0.228255i | −0.289126 | − | 0.957291i | \(-0.593365\pi\) |
0.684476 | + | 0.729036i | \(0.260031\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −43.9166 | + | 76.0657i | −0.0769117 | + | 0.133215i | −0.901916 | − | 0.431911i | \(-0.857839\pi\) |
0.825004 | + | 0.565126i | \(0.191173\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 18.8776i | 0.0328306i | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −132.091 | −0.228927 | −0.114463 | − | 0.993427i | \(-0.536515\pi\) | ||||
−0.114463 | + | 0.993427i | \(0.536515\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −483.302 | − | 279.034i | −0.831844 | − | 0.480266i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −45.0000 | − | 77.9423i | −0.0771870 | − | 0.133692i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −491.614 | + | 283.833i | −0.837502 | + | 0.483532i | −0.856414 | − | 0.516289i | \(-0.827313\pi\) |
0.0189125 | + | 0.999821i | \(0.493980\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 96.3939 | − | 166.959i | 0.163657 | − | 0.283462i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 77.0321i | 0.129902i | 0.997888 | + | 0.0649512i | \(0.0206892\pi\) | ||||
−0.997888 | + | 0.0649512i | \(0.979311\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 62.9082 | 0.105728 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −764.917 | − | 441.625i | −1.27699 | − | 0.737270i | −0.300696 | − | 0.953720i | \(-0.597219\pi\) |
−0.976294 | + | 0.216450i | \(0.930552\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 397.545 | + | 688.569i | 0.661473 | + | 1.14571i | 0.980229 | + | 0.197868i | \(0.0634018\pi\) |
−0.318755 | + | 0.947837i | \(0.603265\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −143.591 | + | 82.9025i | −0.237341 | + | 0.137029i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −148.372 | + | 256.987i | −0.244434 | + | 0.423373i | −0.961972 | − | 0.273147i | \(-0.911936\pi\) |
0.717538 | + | 0.696519i | \(0.245269\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | − | 277.924i | − | 0.454868i | ||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −517.181 | −0.843688 | −0.421844 | − | 0.906668i | \(-0.638617\pi\) | ||||
−0.421844 | + | 0.906668i | \(0.638617\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 229.909 | + | 132.738i | 0.372623 | + | 0.215134i | 0.674604 | − | 0.738180i | \(-0.264314\pi\) |
−0.301981 | + | 0.953314i | \(0.597648\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −98.5227 | − | 170.646i | −0.159164 | − | 0.275681i | 0.775403 | − | 0.631466i | \(-0.217547\pi\) |
−0.934568 | + | 0.355786i | \(0.884213\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 227.486 | − | 131.339i | 0.365146 | − | 0.210817i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 335.500 | − | 581.103i | 0.536800 | − | 0.929765i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | − | 32.9973i | − | 0.0524600i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 160.879 | 0.254958 | 0.127479 | − | 0.991841i | \(-0.459311\pi\) | ||||
0.127479 | + | 0.991841i | \(0.459311\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −45.4087 | − | 26.2167i | −0.0715097 | − | 0.0412862i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 85.6515 | + | 148.353i | 0.134461 | + | 0.232893i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 267.894 | − | 154.669i | 0.417931 | − | 0.241293i | −0.276261 | − | 0.961083i | \(-0.589095\pi\) |
0.694192 | + | 0.719790i | \(0.255762\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 197.296 | − | 341.726i | 0.306836 | − | 0.531456i | −0.670832 | − | 0.741609i | \(-0.734063\pi\) |
0.977668 | + | 0.210153i | \(0.0673963\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 418.736i | 0.647196i | 0.946195 | + | 0.323598i | \(0.104892\pi\) | ||||
−0.946195 | + | 0.323598i | \(0.895108\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 863.908 | 1.33114 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 459.621 | + | 265.363i | 0.703861 | + | 0.406375i | 0.808784 | − | 0.588106i | \(-0.200126\pi\) |
−0.104923 | + | 0.994480i | \(0.533460\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 12.8870 | + | 22.3209i | 0.0196748 | + | 0.0340778i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 310.204 | − | 179.096i | 0.470719 | − | 0.271770i | −0.245822 | − | 0.969315i | \(-0.579058\pi\) |
0.716541 | + | 0.697545i | \(0.245724\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 111.136 | − | 192.493i | 0.168133 | − | 0.291214i | −0.769631 | − | 0.638489i | \(-0.779560\pi\) |
0.937763 | + | 0.347275i | \(0.112893\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | − | 154.941i | − | 0.232994i | ||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 31.0454 | 0.0465448 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 613.810 | + | 354.383i | 0.914769 | + | 0.528142i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 144.606 | + | 250.464i | 0.214867 | + | 0.372161i | 0.953231 | − | 0.302241i | \(-0.0977348\pi\) |
−0.738364 | + | 0.674402i | \(0.764401\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −402.227 | + | 232.226i | −0.594131 | + | 0.343022i | −0.766729 | − | 0.641971i | \(-0.778117\pi\) |
0.172598 | + | 0.984992i | \(0.444784\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 304.341 | − | 527.134i | 0.448220 | − | 0.776339i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 1126.36i | 1.64913i | 0.565767 | + | 0.824565i | \(0.308580\pi\) | ||||
−0.565767 | + | 0.824565i | \(0.691420\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −1219.45 | −1.78022 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 162.650 | + | 93.9063i | 0.236067 | + | 0.136294i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 518.841 | + | 898.658i | 0.750855 | + | 1.30052i | 0.947409 | + | 0.320025i | \(0.103691\pi\) |
−0.196554 | + | 0.980493i | \(0.562975\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 479.385 | − | 276.773i | 0.689763 | − | 0.398235i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 58.9546 | − | 102.112i | 0.0845833 | − | 0.146503i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 778.180i | 1.11010i | 0.831817 | + | 0.555050i | \(0.187301\pi\) | ||||
−0.831817 | + | 0.555050i | \(0.812699\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −81.2714 | −0.115607 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 868.296 | + | 501.311i | 1.22814 | + | 0.709068i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 586.014 | + | 1015.01i | 0.826536 | + | 1.43160i | 0.900739 | + | 0.434360i | \(0.143025\pi\) |
−0.0742031 | + | 0.997243i | \(0.523641\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −335.515 | + | 193.710i | −0.470568 | + | 0.271682i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −483.022 | + | 836.619i | −0.675556 | + | 1.17010i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 515.416i | 0.716851i | 0.933558 | + | 0.358426i | \(0.116686\pi\) | ||||
−0.933558 | + | 0.358426i | \(0.883314\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 184.970 | 0.256547 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 5.69694 | + | 3.28913i | 0.00785785 | + | 0.00453673i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −420.704 | − | 728.681i | −0.578685 | − | 1.00231i | −0.995630 | − | 0.0933809i | \(-0.970233\pi\) |
0.416945 | − | 0.908932i | \(-0.363101\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 1.57654 | − | 0.910215i | 0.00215669 | − | 0.00124516i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −303.181 | + | 525.125i | −0.413617 | + | 0.716405i | −0.995282 | − | 0.0970229i | \(-0.969068\pi\) |
0.581665 | + | 0.813428i | \(0.302401\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | − | 292.174i | − | 0.396437i | ||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 389.362 | 0.526877 | 0.263439 | − | 0.964676i | \(-0.415143\pi\) | ||||
0.263439 | + | 0.964676i | \(0.415143\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 904.779 | + | 522.375i | 1.21774 | + | 0.703061i | 0.964434 | − | 0.264325i | \(-0.0851492\pi\) |
0.253304 | + | 0.967387i | \(0.418483\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 273.090 | + | 473.006i | 0.366564 | + | 0.634908i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 944.574 | − | 545.350i | 1.26111 | − | 0.728105i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −645.916 | + | 1118.76i | −0.860074 | + | 1.48969i | 0.0117826 | + | 0.999931i | \(0.496249\pi\) |
−0.871857 | + | 0.489761i | \(0.837084\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | − | 1482.08i | − | 1.96302i | ||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 1042.36 | 1.37697 | 0.688483 | − | 0.725252i | \(-0.258277\pi\) | ||||
0.688483 | + | 0.725252i | \(0.258277\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 281.607 | + | 162.586i | 0.370048 | + | 0.213647i | 0.673479 | − | 0.739206i | \(-0.264799\pi\) |
−0.303431 | + | 0.952853i | \(0.598132\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 369.076 | + | 639.258i | 0.483717 | + | 0.837822i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −1561.28 | + | 901.405i | −2.03557 | + | 1.17523i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −171.348 | + | 296.783i | −0.222819 | + | 0.385934i | −0.955663 | − | 0.294463i | \(-0.904859\pi\) |
0.732844 | + | 0.680397i | \(0.238193\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | − | 532.579i | − | 0.688977i | −0.938791 | − | 0.344488i | \(-0.888052\pi\) | ||
0.938791 | − | 0.344488i | \(-0.111948\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −82.0908 | −0.105924 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −251.499 | − | 145.203i | −0.322849 | − | 0.186397i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −405.409 | − | 702.188i | −0.519089 | − | 0.899089i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 887.317 | − | 512.293i | 1.13034 | − | 0.652602i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −51.9768 | + | 90.0264i | −0.0660442 | + | 0.114392i | −0.897157 | − | 0.441712i | \(-0.854371\pi\) |
0.831113 | + | 0.556104i | \(0.187704\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | − | 1284.07i | − | 1.62335i | ||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −1479.06 | −1.86514 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 956.331 | + | 552.138i | 1.19991 | + | 0.692770i | 0.960536 | − | 0.278156i | \(-0.0897233\pi\) |
0.239378 | + | 0.970927i | \(0.423057\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 13.4541 | + | 23.3031i | 0.0168386 | + | 0.0291654i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −785.469 | + | 453.491i | −0.978168 | + | 0.564746i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −155.682 | + | 269.648i | −0.193393 | + | 0.334967i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | − | 256.465i | − | 0.317015i | −0.987358 | − | 0.158508i | \(-0.949332\pi\) | ||
0.987358 | − | 0.158508i | \(-0.0506683\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −735.362 | −0.906735 | −0.453368 | − | 0.891324i | \(-0.649778\pi\) | ||||
−0.453368 | + | 0.891324i | \(0.649778\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 1120.77 | + | 647.077i | 1.37518 | + | 0.793960i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −2.24183 | − | 3.88296i | −0.00274398 | − | 0.00475271i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −1078.45 | + | 622.645i | −1.31358 | + | 0.758398i | −0.982688 | − | 0.185269i | \(-0.940684\pi\) |
−0.330896 | + | 0.943667i | \(0.607351\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −771.129 | + | 1335.63i | −0.936973 | + | 1.62288i | −0.165896 | + | 0.986143i | \(0.553052\pi\) |
−0.771077 | + | 0.636742i | \(0.780282\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | − | 955.707i | − | 1.15563i | −0.816167 | − | 0.577815i | \(-0.803905\pi\) | ||
0.816167 | − | 0.577815i | \(-0.196095\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 1082.88 | 1.30625 | 0.653123 | − | 0.757252i | \(-0.273458\pi\) | ||||
0.653123 | + | 0.757252i | \(0.273458\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −14.3633 | − | 8.29263i | −0.0172428 | − | 0.00995514i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −125.842 | − | 217.964i | −0.150708 | − | 0.261035i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 903.778 | − | 521.797i | 1.07721 | − | 0.621927i | 0.147067 | − | 0.989127i | \(-0.453017\pi\) |
0.930142 | + | 0.367200i | \(0.119683\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −415.091 | + | 718.958i | −0.493568 | + | 0.854885i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | − | 1137.80i | − | 1.34651i | ||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −202.574 | −0.239167 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 141.439 | + | 81.6600i | 0.166204 | + | 0.0959577i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −236.909 | − | 410.338i | −0.277736 | − | 0.481053i | 0.693086 | − | 0.720855i | \(-0.256251\pi\) |
−0.970822 | + | 0.239802i | \(0.922917\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −793.939 | + | 458.381i | −0.926417 | + | 0.534867i | −0.885677 | − | 0.464303i | \(-0.846305\pi\) |
−0.0407403 | + | 0.999170i | \(0.512972\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 478.901 | − | 829.480i | 0.557510 | − | 0.965635i | −0.440194 | − | 0.897903i | \(-0.645090\pi\) |
0.997704 | − | 0.0677322i | \(-0.0215764\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 524.200i | 0.607416i | 0.952765 | + | 0.303708i | \(0.0982247\pi\) | ||||
−0.952765 | + | 0.303708i | \(0.901775\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −521.908 | −0.603362 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 243.121 | + | 140.366i | 0.279771 | + | 0.161526i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 304.855 | + | 528.025i | 0.350006 | + | 0.606228i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 657.067 | − | 379.358i | 0.750933 | − | 0.433551i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −503.878 | + | 872.742i | −0.574547 | + | 0.995145i | 0.421543 | + | 0.906808i | \(0.361489\pi\) |
−0.996091 | + | 0.0883370i | \(0.971845\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 1536.71i | 1.74428i | 0.489254 | + | 0.872141i | \(0.337269\pi\) | ||||
−0.489254 | + | 0.872141i | \(0.662731\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 294.213 | 0.333197 | 0.166599 | − | 0.986025i | \(-0.446722\pi\) | ||||
0.166599 | + | 0.986025i | \(0.446722\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −497.794 | − | 287.402i | −0.561211 | − | 0.324015i | 0.192420 | − | 0.981313i | \(-0.438366\pi\) |
−0.753631 | + | 0.657297i | \(0.771700\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −32.0306 | − | 55.4787i | −0.0360299 | − | 0.0624057i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 57.3949 | − | 33.1370i | 0.0642720 | − | 0.0371075i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 740.636 | − | 1282.82i | 0.827526 | − | 1.43332i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 135.004i | 0.150171i | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −18.1837 | −0.0201817 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 167.046 | + | 96.4443i | 0.184582 | + | 0.106568i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −255.037 | − | 441.737i | −0.281187 | − | 0.487031i | 0.690490 | − | 0.723342i | \(-0.257395\pi\) |
−0.971677 | + | 0.236311i | \(0.924062\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −803.127 | + | 463.685i | −0.881588 | + | 0.508985i | −0.871182 | − | 0.490961i | \(-0.836646\pi\) |
−0.0104064 | + | 0.999946i | \(0.503313\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −414.863 | + | 718.564i | −0.454396 | + | 0.787036i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 31.4897i | 0.0343399i | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 1240.63 | 1.34998 | 0.674991 | − | 0.737826i | \(-0.264147\pi\) | ||||
0.674991 | + | 0.737826i | \(0.264147\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 1465.33 | + | 846.010i | 1.58757 | + | 0.916587i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 17.3031 | + | 29.9698i | 0.0187060 | + | 0.0323998i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −293.576 | + | 169.496i | −0.316013 | + | 0.182450i | −0.649614 | − | 0.760264i | \(-0.725069\pi\) |
0.333601 | + | 0.942714i | \(0.391736\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −20.4245 | + | 35.3763i | −0.0219382 | + | 0.0379981i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | − | 93.5307i | − | 0.100033i | ||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 1322.21 | 1.41111 | 0.705556 | − | 0.708655i | \(-0.250698\pi\) | ||||
0.705556 | + | 0.708655i | \(0.250698\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 310.984 | + | 179.547i | 0.330482 | + | 0.190804i | 0.656055 | − | 0.754713i | \(-0.272224\pi\) |
−0.325573 | + | 0.945517i | \(0.605557\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 291.795 | + | 505.404i | 0.309433 | + | 0.535953i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −671.855 | + | 387.896i | −0.709457 | + | 0.409605i | −0.810860 | − | 0.585240i | \(-0.801000\pi\) |
0.101403 | + | 0.994845i | \(0.467667\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 946.347 | − | 1639.12i | 0.997205 | − | 1.72721i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | − | 465.082i | − | 0.488019i | −0.969773 | − | 0.244010i | \(-0.921537\pi\) | ||
0.969773 | − | 0.244010i | \(-0.0784628\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −93.1362 | −0.0975248 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −1290.28 | − | 744.942i | −1.34544 | − | 0.776791i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −361.863 | − | 626.765i | −0.376548 | − | 0.652200i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 429.543 | − | 247.997i | 0.445123 | − | 0.256992i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 612.113 | − | 1060.21i | 0.633002 | − | 1.09639i | −0.353933 | − | 0.935271i | \(-0.615156\pi\) |
0.986935 | − | 0.161121i | \(-0.0515109\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 658.702i | 0.678375i | 0.940719 | + | 0.339188i | \(0.110152\pi\) | ||||
−0.940719 | + | 0.339188i | \(0.889848\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 676.303 | 0.695070 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −1314.92 | − | 759.170i | −1.34588 | − | 0.777042i | −0.358214 | − | 0.933639i | \(-0.616614\pi\) |
−0.987663 | + | 0.156597i | \(0.949948\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −195.272 | − | 338.222i | −0.199461 | − | 0.345477i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 716.930 | − | 413.920i | 0.729329 | − | 0.421078i | −0.0888477 | − | 0.996045i | \(-0.528318\pi\) |
0.818177 | + | 0.574967i | \(0.194985\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 416.636 | − | 721.634i | 0.422980 | − | 0.732624i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 9.01020i | 0.00911041i | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −429.546 | −0.433447 | −0.216723 | − | 0.976233i | \(-0.569537\pi\) | ||||
−0.216723 | + | 0.976233i | \(0.569537\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −29.3189 | − | 16.9273i | −0.0294662 | − | 0.0170123i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 347.499 | + | 601.886i | 0.348545 | + | 0.603697i | 0.985991 | − | 0.166798i | \(-0.0533427\pi\) |
−0.637447 | + | 0.770495i | \(0.720009\pi\) | |||||||
\(998\) | 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 \(a_p\))