Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [900,3,Mod(101,900)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(900, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 1, 0]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("900.101");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 900 = 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 900.p (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(24.5232237924\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\Q(\sqrt{-3}, \sqrt{-11})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{3} - 2x^{2} - 3x + 9 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | no (minimal twist has level 36) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 401.1 | ||
Root | \(-1.18614 - 1.26217i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 900.401 |
Dual form | 900.3.p.a.101.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/900\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(451\) | \(577\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −2.18614 | + | 2.05446i | −0.728714 | + | 0.684819i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −4.05842 | − | 7.02939i | −0.579775 | − | 1.00420i | −0.995505 | − | 0.0947110i | \(-0.969807\pi\) |
0.415730 | − | 0.909488i | \(-0.363526\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0.558422 | − | 8.98266i | 0.0620469 | − | 0.998073i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −17.6168 | + | 10.1711i | −1.60153 | + | 0.924645i | −0.610350 | + | 0.792132i | \(0.708971\pi\) |
−0.991181 | + | 0.132513i | \(0.957695\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 3.05842 | − | 5.29734i | 0.235263 | − | 0.407488i | −0.724086 | − | 0.689710i | \(-0.757738\pi\) |
0.959349 | + | 0.282222i | \(0.0910714\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 17.9653i | 1.05678i | 0.849001 | + | 0.528392i | \(0.177205\pi\) | ||||
−0.849001 | + | 0.528392i | \(0.822795\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 9.11684 | 0.479834 | 0.239917 | − | 0.970793i | \(-0.422880\pi\) | ||||
0.239917 | + | 0.970793i | \(0.422880\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 23.3139 | + | 7.02939i | 1.11018 | + | 0.334733i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −29.0584 | − | 16.7769i | −1.26341 | − | 0.729430i | −0.289677 | − | 0.957124i | \(-0.593548\pi\) |
−0.973733 | + | 0.227695i | \(0.926881\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 17.2337 | + | 20.7846i | 0.638285 | + | 0.769800i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 14.4090 | − | 8.31901i | 0.496860 | − | 0.286863i | −0.230556 | − | 0.973059i | \(-0.574054\pi\) |
0.727416 | + | 0.686197i | \(0.240721\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 11.1753 | − | 19.3561i | 0.360492 | − | 0.624391i | −0.627549 | − | 0.778577i | \(-0.715942\pi\) |
0.988042 | + | 0.154185i | \(0.0492753\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 17.6168 | − | 58.4285i | 0.533844 | − | 1.77056i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 50.4674 | 1.36398 | 0.681992 | − | 0.731360i | \(-0.261114\pi\) | ||||
0.681992 | + | 0.731360i | \(0.261114\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 4.19702 | + | 17.8641i | 0.107616 | + | 0.458055i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 29.9674 | + | 17.3017i | 0.730912 | + | 0.421992i | 0.818756 | − | 0.574142i | \(-0.194664\pi\) |
−0.0878440 | + | 0.996134i | \(0.527998\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 11.5000 | + | 19.9186i | 0.267442 | + | 0.463223i | 0.968200 | − | 0.250176i | \(-0.0804883\pi\) |
−0.700759 | + | 0.713398i | \(0.747155\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 33.1753 | − | 19.1537i | 0.705857 | − | 0.407527i | −0.103668 | − | 0.994612i | \(-0.533058\pi\) |
0.809525 | + | 0.587085i | \(0.199725\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −8.44158 | + | 14.6212i | −0.172277 | + | 0.298393i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −36.9090 | − | 39.2747i | −0.723705 | − | 0.770092i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 19.0149i | 0.358771i | 0.983779 | + | 0.179386i | \(0.0574110\pi\) | ||||
−0.983779 | + | 0.179386i | \(0.942589\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −19.9307 | + | 18.7302i | −0.349661 | + | 0.328599i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −2.96738 | − | 1.71322i | −0.0502945 | − | 0.0290375i | 0.474642 | − | 0.880179i | \(-0.342578\pi\) |
−0.524936 | + | 0.851141i | \(0.675911\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 23.1753 | + | 40.1407i | 0.379922 | + | 0.658045i | 0.991051 | − | 0.133487i | \(-0.0426174\pi\) |
−0.611128 | + | 0.791532i | \(0.709284\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −65.4090 | + | 32.5301i | −1.03824 | + | 0.516350i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −3.14947 | + | 5.45504i | −0.0470070 | + | 0.0814185i | −0.888572 | − | 0.458738i | \(-0.848302\pi\) |
0.841565 | + | 0.540157i | \(0.181635\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 97.9932 | − | 23.0226i | 1.42019 | − | 0.333661i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 35.9306i | 0.506065i | 0.967458 | + | 0.253033i | \(0.0814280\pi\) | ||||
−0.967458 | + | 0.253033i | \(0.918572\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −47.3505 | −0.648637 | −0.324319 | − | 0.945948i | \(-0.605135\pi\) | ||||
−0.324319 | + | 0.945948i | \(0.605135\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 142.993 | + | 82.5571i | 1.85705 | + | 1.07217i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 42.2921 | + | 73.2521i | 0.535343 | + | 0.927242i | 0.999147 | + | 0.0413035i | \(0.0131510\pi\) |
−0.463803 | + | 0.885938i | \(0.653516\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −80.3763 | − | 10.0322i | −0.992300 | − | 0.123855i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 33.1753 | − | 19.1537i | 0.399702 | − | 0.230768i | −0.286653 | − | 0.958034i | \(-0.592543\pi\) |
0.686355 | + | 0.727266i | \(0.259209\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −14.4090 | + | 47.7891i | −0.165620 | + | 0.549300i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 143.723i | 1.61486i | 0.589963 | + | 0.807430i | \(0.299142\pi\) | ||||
−0.589963 | + | 0.807430i | \(0.700858\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −49.6495 | −0.545599 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 15.3356 | + | 65.2743i | 0.164899 | + | 0.701874i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 40.3832 | + | 69.9457i | 0.416321 | + | 0.721089i | 0.995566 | − | 0.0940641i | \(-0.0299859\pi\) |
−0.579245 | + | 0.815154i | \(0.696653\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 81.5258 | + | 163.926i | 0.823493 | + | 1.65582i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 105.942 | − | 61.1654i | 1.04893 | − | 0.605598i | 0.126578 | − | 0.991957i | \(-0.459601\pi\) |
0.922349 | + | 0.386359i | \(0.126267\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 36.8247 | − | 63.7823i | 0.357522 | − | 0.619246i | −0.630024 | − | 0.776575i | \(-0.716955\pi\) |
0.987546 | + | 0.157330i | \(0.0502885\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 72.9108i | 0.681410i | 0.940170 | + | 0.340705i | \(0.110666\pi\) | ||||
−0.940170 | + | 0.340705i | \(0.889334\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 31.2989 | 0.287146 | 0.143573 | − | 0.989640i | \(-0.454141\pi\) | ||||
0.143573 | + | 0.989640i | \(0.454141\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −110.329 | + | 103.683i | −0.993953 | + | 0.934081i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −16.2269 | − | 9.36858i | −0.143601 | − | 0.0829078i | 0.426478 | − | 0.904498i | \(-0.359754\pi\) |
−0.570079 | + | 0.821590i | \(0.693087\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −45.8763 | − | 30.4309i | −0.392105 | − | 0.260093i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 126.285 | − | 72.9108i | 1.06122 | − | 0.612696i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 146.402 | − | 253.576i | 1.20993 | − | 2.09567i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −101.058 | + | 23.7428i | −0.821613 | + | 0.193031i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 126.103 | 0.992939 | 0.496469 | − | 0.868054i | \(-0.334630\pi\) | ||||
0.496469 | + | 0.868054i | \(0.334630\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −66.0625 | − | 19.9186i | −0.512112 | − | 0.154408i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 140.694 | + | 81.2299i | 1.07400 | + | 0.620075i | 0.929272 | − | 0.369396i | \(-0.120435\pi\) |
0.144730 | + | 0.989471i | \(0.453769\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −37.0000 | − | 64.0859i | −0.278195 | − | 0.481849i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −90.3832 | + | 52.1827i | −0.659731 | + | 0.380896i | −0.792174 | − | 0.610295i | \(-0.791051\pi\) |
0.132443 | + | 0.991191i | \(0.457718\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −30.6168 | + | 53.0299i | −0.220265 | + | 0.381510i | −0.954888 | − | 0.296965i | \(-0.904026\pi\) |
0.734623 | + | 0.678475i | \(0.237359\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −33.1753 | + | 110.030i | −0.235286 | + | 0.780354i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 124.430i | 0.870139i | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −11.5842 | − | 49.3069i | −0.0788042 | − | 0.335421i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −128.344 | − | 74.0993i | −0.861367 | − | 0.497311i | 0.00310272 | − | 0.999995i | \(-0.499012\pi\) |
−0.864470 | + | 0.502685i | \(0.832346\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −127.526 | − | 220.881i | −0.844542 | − | 1.46279i | −0.886019 | − | 0.463650i | \(-0.846540\pi\) |
0.0414769 | − | 0.999139i | \(-0.486794\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 161.376 | + | 10.0322i | 1.05475 | + | 0.0655701i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 146.227 | − | 253.272i | 0.931381 | − | 1.61320i | 0.150418 | − | 0.988622i | \(-0.451938\pi\) |
0.780963 | − | 0.624577i | \(-0.214729\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −39.0652 | − | 41.5692i | −0.245693 | − | 0.261442i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 272.351i | 1.69162i | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −93.5326 | −0.573820 | −0.286910 | − | 0.957958i | \(-0.592628\pi\) | ||||
−0.286910 | + | 0.957958i | \(0.592628\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 97.2269 | + | 56.1340i | 0.582197 | + | 0.336131i | 0.762006 | − | 0.647570i | \(-0.224215\pi\) |
−0.179809 | + | 0.983702i | \(0.557548\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 65.7921 | + | 113.955i | 0.389302 | + | 0.674292i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 5.09105 | − | 81.8935i | 0.0297722 | − | 0.478909i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 205.227 | − | 118.488i | 1.18628 | − | 0.684900i | 0.228823 | − | 0.973468i | \(-0.426512\pi\) |
0.957460 | + | 0.288568i | \(0.0931790\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 10.0068 | − | 2.35101i | 0.0565357 | − | 0.0132826i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | − | 234.599i | − | 1.31061i | −0.755366 | − | 0.655304i | \(-0.772541\pi\) | ||
0.755366 | − | 0.655304i | \(-0.227459\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 221.636 | 1.22451 | 0.612254 | − | 0.790661i | \(-0.290263\pi\) | ||||
0.612254 | + | 0.790661i | \(0.290263\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −133.132 | − | 40.1407i | −0.727496 | − | 0.219348i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −182.727 | − | 316.492i | −0.977149 | − | 1.69247i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 76.1616 | − | 205.495i | 0.402971 | − | 1.08728i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −130.162 | + | 75.1488i | −0.681474 | + | 0.393449i | −0.800410 | − | 0.599452i | \(-0.795385\pi\) |
0.118936 | + | 0.992902i | \(0.462052\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −24.5000 | + | 42.4352i | −0.126943 | + | 0.219872i | −0.922491 | − | 0.386019i | \(-0.873850\pi\) |
0.795548 | + | 0.605891i | \(0.207183\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 276.827i | 1.40521i | 0.711579 | + | 0.702606i | \(0.247980\pi\) | ||||
−0.711579 | + | 0.702606i | \(0.752020\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −198.935 | −0.999672 | −0.499836 | − | 0.866120i | \(-0.666606\pi\) | ||||
−0.499836 | + | 0.866120i | \(0.666606\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −4.32196 | − | 18.3959i | −0.0215023 | − | 0.0915220i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −116.955 | − | 67.5241i | −0.576134 | − | 0.332631i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −166.928 | + | 251.653i | −0.806415 | + | 1.21572i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −160.610 | + | 92.7282i | −0.768469 | + | 0.443676i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −47.0068 | + | 81.4182i | −0.222781 | + | 0.385868i | −0.955651 | − | 0.294500i | \(-0.904847\pi\) |
0.732870 | + | 0.680368i | \(0.238180\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −73.8179 | − | 78.5494i | −0.346563 | − | 0.368777i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −181.416 | −0.836017 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 103.515 | − | 97.2796i | 0.472671 | − | 0.444199i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 95.1684 | + | 54.9455i | 0.430626 | + | 0.248622i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −77.8763 | − | 134.886i | −0.349221 | − | 0.604869i | 0.636890 | − | 0.770955i | \(-0.280220\pi\) |
−0.986111 | + | 0.166086i | \(0.946887\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 138.448 | − | 79.9332i | 0.609905 | − | 0.352129i | −0.163023 | − | 0.986622i | \(-0.552125\pi\) |
0.772928 | + | 0.634493i | \(0.218791\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 19.1237 | − | 33.1232i | 0.0835095 | − | 0.144643i | −0.821246 | − | 0.570575i | \(-0.806720\pi\) |
0.904755 | + | 0.425932i | \(0.140054\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −482.213 | + | 113.292i | −2.08750 | + | 0.490440i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 157.490i | 0.675921i | 0.941160 | + | 0.337960i | \(0.109737\pi\) | ||||
−0.941160 | + | 0.337960i | \(0.890263\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −242.950 | − | 73.2521i | −1.02510 | − | 0.309081i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −62.4742 | − | 36.0695i | −0.261398 | − | 0.150918i | 0.363574 | − | 0.931565i | \(-0.381556\pi\) |
−0.624972 | + | 0.780647i | \(0.714890\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −113.370 | − | 196.362i | −0.470413 | − | 0.814779i | 0.529015 | − | 0.848613i | \(-0.322562\pi\) |
−0.999427 | + | 0.0338337i | \(0.989228\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 196.325 | − | 143.198i | 0.807921 | − | 0.589291i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 27.8832 | − | 48.2950i | 0.112887 | − | 0.195526i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −33.1753 | + | 110.030i | −0.133234 | + | 0.441887i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 222.931i | 0.888171i | 0.895985 | + | 0.444085i | \(0.146471\pi\) | ||||
−0.895985 | + | 0.444085i | \(0.853529\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 682.557 | 2.69785 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −92.2011 | − | 53.2323i | −0.358759 | − | 0.207130i | 0.309777 | − | 0.950809i | \(-0.399746\pi\) |
−0.668536 | + | 0.743680i | \(0.733079\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −204.818 | − | 354.755i | −0.790803 | − | 1.36971i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −66.6806 | − | 134.076i | −0.255481 | − | 0.513702i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −155.344 | + | 89.6877i | −0.590660 | + | 0.341018i | −0.765359 | − | 0.643604i | \(-0.777438\pi\) |
0.174698 | + | 0.984622i | \(0.444105\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −295.272 | − | 314.198i | −1.10589 | − | 1.17677i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | − | 416.351i | − | 1.54777i | −0.633324 | − | 0.773887i | \(-0.718310\pi\) | ||
0.633324 | − | 0.773887i | \(-0.281690\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 396.907 | 1.46460 | 0.732302 | − | 0.680980i | \(-0.238446\pi\) | ||||
0.732302 | + | 0.680980i | \(0.238446\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 108.541 | − | 102.003i | 0.397585 | − | 0.373636i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −57.7731 | − | 100.066i | −0.208567 | − | 0.361249i | 0.742696 | − | 0.669629i | \(-0.233547\pi\) |
−0.951263 | + | 0.308379i | \(0.900213\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −167.629 | − | 111.192i | −0.600821 | − | 0.398539i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 422.564 | − | 243.967i | 1.50379 | − | 0.868211i | 0.503795 | − | 0.863823i | \(-0.331937\pi\) |
0.999990 | − | 0.00438786i | \(-0.00139670\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −169.825 | + | 294.145i | −0.600087 | + | 1.03938i | 0.392720 | + | 0.919658i | \(0.371534\pi\) |
−0.992807 | + | 0.119724i | \(0.961799\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | − | 280.870i | − | 0.978641i | ||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −33.7527 | −0.116791 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −231.984 | − | 69.9457i | −0.797194 | − | 0.240363i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −122.409 | − | 70.6728i | −0.417778 | − | 0.241204i | 0.276348 | − | 0.961058i | \(-0.410876\pi\) |
−0.694126 | + | 0.719853i | \(0.744209\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −515.005 | − | 190.874i | −1.73402 | − | 0.642673i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −177.746 | + | 102.622i | −0.594468 | + | 0.343216i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 93.3437 | − | 161.676i | 0.310112 | − | 0.537130i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −105.942 | + | 351.368i | −0.349642 | + | 1.15963i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 120.649 | 0.392995 | 0.196498 | − | 0.980504i | \(-0.437043\pi\) | ||||
0.196498 | + | 0.980504i | \(0.437043\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 50.5339 | + | 215.092i | 0.163540 | + | 0.696090i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −119.254 | − | 68.8514i | −0.383454 | − | 0.221387i | 0.295866 | − | 0.955229i | \(-0.404392\pi\) |
−0.679320 | + | 0.733842i | \(0.737725\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 129.266 | + | 223.896i | 0.412991 | + | 0.715322i | 0.995215 | − | 0.0977064i | \(-0.0311506\pi\) |
−0.582224 | + | 0.813029i | \(0.697817\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 16.7079 | − | 9.64630i | 0.0527063 | − | 0.0304300i | −0.473415 | − | 0.880839i | \(-0.656979\pi\) |
0.526122 | + | 0.850409i | \(0.323646\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −169.227 | + | 293.110i | −0.530492 | + | 0.918839i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −149.792 | − | 159.393i | −0.466642 | − | 0.496553i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 163.787i | 0.507081i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −68.4239 | + | 64.3023i | −0.209247 | + | 0.196643i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −269.278 | − | 155.468i | −0.818476 | − | 0.472547i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 98.3953 | + | 170.426i | 0.297267 | + | 0.514881i | 0.975510 | − | 0.219957i | \(-0.0705916\pi\) |
−0.678243 | + | 0.734838i | \(0.737258\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 28.1821 | − | 453.331i | 0.0846309 | − | 1.36136i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 158.720 | − | 274.911i | 0.470979 | − | 0.815760i | −0.528470 | − | 0.848952i | \(-0.677234\pi\) |
0.999449 | + | 0.0331921i | \(0.0105673\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 54.7215 | − | 12.8563i | 0.161420 | − | 0.0379243i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 454.659i | 1.33331i | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −260.687 | −0.760022 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 537.407 | + | 310.272i | 1.54872 | + | 0.894157i | 0.998240 | + | 0.0593116i | \(0.0188906\pi\) |
0.550485 | + | 0.834845i | \(0.314443\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 189.512 | + | 328.245i | 0.543015 | + | 0.940529i | 0.998729 | + | 0.0504030i | \(0.0160506\pi\) |
−0.455714 | + | 0.890126i | \(0.650616\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 162.811 | − | 27.7246i | 0.463849 | − | 0.0789876i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 213.514 | − | 123.272i | 0.604855 | − | 0.349213i | −0.166094 | − | 0.986110i | \(-0.553116\pi\) |
0.770949 | + | 0.636897i | \(0.219782\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −126.285 | + | 418.841i | −0.353740 | + | 1.17322i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 572.791i | 1.59552i | 0.602976 | + | 0.797759i | \(0.293981\pi\) | ||||
−0.602976 | + | 0.797759i | \(0.706019\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −277.883 | −0.769759 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 200.905 | + | 855.129i | 0.553457 | + | 2.35573i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −93.9279 | − | 162.688i | −0.255934 | − | 0.443291i | 0.709214 | − | 0.704993i | \(-0.249050\pi\) |
−0.965149 | + | 0.261701i | \(0.915716\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 172.149 | − | 259.525i | 0.466530 | − | 0.703320i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 133.663 | − | 77.1704i | 0.360278 | − | 0.208007i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 75.0584 | − | 130.005i | 0.201229 | − | 0.348539i | −0.747696 | − | 0.664042i | \(-0.768840\pi\) |
0.948925 | + | 0.315503i | \(0.102173\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | − | 101.772i | − | 0.269953i | ||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −26.6222 | −0.0702432 | −0.0351216 | − | 0.999383i | \(-0.511182\pi\) | ||||
−0.0351216 | + | 0.999383i | \(0.511182\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −275.679 | + | 259.073i | −0.723568 | + | 0.679983i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 444.966 | + | 256.901i | 1.16179 | + | 0.670760i | 0.951733 | − | 0.306929i | \(-0.0993013\pi\) |
0.210058 | + | 0.977689i | \(0.432635\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 185.344 | − | 92.1776i | 0.478924 | − | 0.238185i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −22.1616 | + | 12.7950i | −0.0569707 | + | 0.0328921i | −0.528215 | − | 0.849111i | \(-0.677138\pi\) |
0.471244 | + | 0.882003i | \(0.343805\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 301.402 | − | 522.044i | 0.770849 | − | 1.33515i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −474.461 | + | 111.470i | −1.20728 | + | 0.283639i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −388.804 | −0.979356 | −0.489678 | − | 0.871903i | \(-0.662886\pi\) | ||||
−0.489678 | + | 0.871903i | \(0.662886\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 212.549 | + | 64.0859i | 0.532704 | + | 0.160616i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −34.0842 | − | 19.6785i | −0.0849981 | − | 0.0490736i | 0.456899 | − | 0.889519i | \(-0.348960\pi\) |
−0.541897 | + | 0.840445i | \(0.682294\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −68.3574 | − | 118.398i | −0.169621 | − | 0.293793i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −889.076 | + | 513.308i | −2.18446 | + | 1.26120i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −86.7200 | + | 150.204i | −0.212029 | + | 0.367246i | −0.952350 | − | 0.305009i | \(-0.901341\pi\) |
0.740320 | + | 0.672255i | \(0.234674\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 90.3832 | − | 299.767i | 0.219910 | − | 0.729360i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 27.8118i | 0.0673409i | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −42.0149 | − | 178.832i | −0.100755 | − | 0.428853i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 115.031 | + | 66.4132i | 0.274537 | + | 0.158504i | 0.630948 | − | 0.775825i | \(-0.282666\pi\) |
−0.356411 | + | 0.934329i | \(0.616000\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −317.447 | − | 549.834i | −0.754031 | − | 1.30602i | −0.945855 | − | 0.324590i | \(-0.894774\pi\) |
0.191824 | − | 0.981429i | \(-0.438560\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −153.526 | − | 308.698i | −0.362945 | − | 0.729782i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 188.110 | − | 325.816i | 0.440539 | − | 0.763035i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −255.636 | − | 272.021i | −0.595888 | − | 0.634082i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 602.424i | 1.39774i | 0.715251 | + | 0.698868i | \(0.246313\pi\) | ||||
−0.715251 | + | 0.698868i | \(0.753687\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −266.155 | −0.614676 | −0.307338 | − | 0.951600i | \(-0.599438\pi\) | ||||
−0.307338 | + | 0.951600i | \(0.599438\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −264.921 | − | 152.952i | −0.606227 | − | 0.350005i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −250.330 | − | 433.584i | −0.570228 | − | 0.987664i | −0.996542 | − | 0.0830886i | \(-0.973522\pi\) |
0.426314 | − | 0.904575i | \(-0.359812\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 126.624 | + | 83.9926i | 0.287129 | + | 0.190460i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 261.098 | − | 150.745i | 0.589386 | − | 0.340282i | −0.175469 | − | 0.984485i | \(-0.556144\pi\) |
0.764855 | + | 0.644203i | \(0.222811\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 432.811 | − | 101.685i | 0.968257 | − | 0.227483i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | − | 565.321i | − | 1.25907i | −0.776973 | − | 0.629534i | \(-0.783246\pi\) | ||
0.776973 | − | 0.629534i | \(-0.216754\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −703.907 | −1.56077 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 732.580 | + | 220.881i | 1.61717 | + | 0.487596i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 26.1495 | + | 45.2922i | 0.0572198 | + | 0.0991077i | 0.893216 | − | 0.449627i | \(-0.148443\pi\) |
−0.835997 | + | 0.548735i | \(0.815110\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −373.402 | + | 309.609i | −0.813512 | + | 0.674529i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 166.357 | − | 96.0465i | 0.360862 | − | 0.208344i | −0.308597 | − | 0.951193i | \(-0.599859\pi\) |
0.669459 | + | 0.742849i | \(0.266526\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 283.110 | − | 490.361i | 0.611469 | − | 1.05909i | −0.379524 | − | 0.925182i | \(-0.623912\pi\) |
0.990993 | − | 0.133913i | \(-0.0427543\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 174.405i | 0.373459i | 0.982411 | + | 0.186729i | \(0.0597888\pi\) | ||||
−0.982411 | + | 0.186729i | \(0.940211\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 51.1275 | 0.109014 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 200.664 | + | 854.106i | 0.426039 | + | 1.81339i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −405.187 | − | 233.935i | −0.856633 | − | 0.494577i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 170.804 | + | 10.6183i | 0.358080 | + | 0.0222607i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 473.784 | − | 273.539i | 0.989110 | − | 0.571063i | 0.0841020 | − | 0.996457i | \(-0.473198\pi\) |
0.905008 | + | 0.425394i | \(0.139865\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 154.351 | − | 267.343i | 0.320895 | − | 0.555807i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −559.533 | − | 595.397i | −1.15845 | − | 1.23271i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 769.945 | 1.58100 | 0.790498 | − | 0.612464i | \(-0.209822\pi\) | ||||
0.790498 | + | 0.612464i | \(0.209822\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 204.475 | − | 192.159i | 0.418150 | − | 0.392962i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −154.916 | − | 89.4407i | −0.315511 | − | 0.182160i | 0.333879 | − | 0.942616i | \(-0.391642\pi\) |
−0.649390 | + | 0.760456i | \(0.724976\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 149.454 | + | 258.861i | 0.303152 | + | 0.525074i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 252.571 | − | 145.822i | 0.508190 | − | 0.293404i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 192.655 | − | 333.688i | 0.386082 | − | 0.668713i | −0.605837 | − | 0.795589i | \(-0.707162\pi\) |
0.991919 | + | 0.126876i | \(0.0404949\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −327.876 | + | 77.0316i | −0.654444 | + | 0.153756i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 67.6630i | 0.134519i | 0.997736 | + | 0.0672594i | \(0.0214255\pi\) | ||||
−0.997736 | + | 0.0672594i | \(0.978574\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −377.947 | − | 113.955i | −0.745457 | − | 0.224764i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 523.292 | + | 302.123i | 1.02808 | + | 0.593562i | 0.916434 | − | 0.400187i | \(-0.131055\pi\) |
0.111645 | + | 0.993748i | \(0.464388\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 192.168 | + | 332.846i | 0.376063 | + | 0.651361i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 157.117 | + | 189.490i | 0.306271 | + | 0.369376i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −389.629 | + | 674.857i | −0.753634 | + | 1.30533i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −205.227 | + | 680.660i | −0.395427 | + | 1.31148i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | − | 273.678i | − | 0.525294i | −0.964892 | − | 0.262647i | \(-0.915405\pi\) | ||
0.964892 | − | 0.262647i | \(-0.0845954\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −687.402 | −1.31434 | −0.657172 | − | 0.753740i | \(-0.728248\pi\) | ||||
−0.657172 | + | 0.753740i | \(0.728248\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 347.739 | + | 200.767i | 0.659846 | + | 0.380962i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 298.428 | + | 516.892i | 0.564136 | + | 0.977112i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −17.0463 | + | 25.6982i | −0.0321022 | + | 0.0483959i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 183.306 | − | 105.832i | 0.343913 | − | 0.198558i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 481.973 | + | 512.866i | 0.897528 | + | 0.955057i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | − | 343.440i | − | 0.637180i | ||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 664.543 | 1.22836 | 0.614180 | − | 0.789166i | \(-0.289487\pi\) | ||||
0.614180 | + | 0.789166i | \(0.289487\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −484.527 | + | 455.341i | −0.892315 | + | 0.838565i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 259.603 | + | 449.646i | 0.474594 | + | 0.822022i | 0.999577 | − | 0.0290914i | \(-0.00926138\pi\) |
−0.524982 | + | 0.851113i | \(0.675928\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 373.512 | − | 185.760i | 0.680350 | − | 0.338361i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 131.364 | − | 75.8431i | 0.238410 | − | 0.137646i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 343.278 | − | 594.576i | 0.620757 | − | 1.07518i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | − | 422.648i | − | 0.758794i | −0.925234 | − | 0.379397i | \(-0.876131\pi\) | ||
0.925234 | − | 0.379397i | \(-0.123869\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 140.687 | 0.251677 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 1049.69 | + | 316.492i | 1.87110 | + | 0.564157i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −798.799 | − | 461.187i | −1.41883 | − | 0.819159i | −0.422630 | − | 0.906302i | \(-0.638893\pi\) |
−0.996196 | + | 0.0871428i | \(0.972226\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 255.681 | + | 605.712i | 0.450936 | + | 1.06827i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −914.445 | + | 527.955i | −1.60711 | + | 0.927865i | −0.617097 | + | 0.786887i | \(0.711691\pi\) |
−0.990013 | + | 0.140978i | \(0.954975\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −401.524 | + | 695.460i | −0.703195 | + | 1.21797i | 0.264144 | + | 0.964483i | \(0.414911\pi\) |
−0.967339 | + | 0.253486i | \(0.918423\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 130.162 | − | 431.697i | 0.227158 | − | 0.753398i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 96.6495 | 0.167503 | 0.0837517 | − | 0.996487i | \(-0.473310\pi\) | ||||
0.0837517 | + | 0.996487i | \(0.473310\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −33.6209 | − | 143.104i | −0.0580672 | − | 0.247156i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −269.278 | − | 155.468i | −0.463474 | − | 0.267587i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −193.402 | − | 334.982i | −0.331736 | − | 0.574584i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 870.497 | − | 502.582i | 1.48296 | − | 0.856187i | 0.483146 | − | 0.875540i | \(-0.339494\pi\) |
0.999813 | + | 0.0193528i | \(0.00616056\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 101.883 | − | 176.467i | 0.172976 | − | 0.299604i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −568.728 | − | 605.182i | −0.962315 | − | 1.02400i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 752.444i | 1.26888i | 0.772973 | + | 0.634439i | \(0.218769\pi\) | ||||
−0.772973 | + | 0.634439i | \(0.781231\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 434.899 | − | 408.703i | 0.728475 | − | 0.684594i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −24.0857 | − | 13.9059i | −0.0402099 | − | 0.0232152i | 0.479760 | − | 0.877400i | \(-0.340724\pi\) |
−0.519970 | + | 0.854184i | \(0.674057\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 475.356 | + | 823.340i | 0.790942 | + | 1.36995i | 0.925385 | + | 0.379030i | \(0.123742\pi\) |
−0.134443 | + | 0.990921i | \(0.542925\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 47.2420 | + | 31.3368i | 0.0783450 | + | 0.0519682i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −161.306 | + | 279.390i | −0.265743 | + | 0.460280i | −0.967758 | − | 0.251882i | \(-0.918950\pi\) |
0.702015 | + | 0.712162i | \(0.252284\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 394.406 | − | 92.6621i | 0.647629 | − | 0.152155i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | − | 234.321i | − | 0.383504i | ||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −138.206 | −0.225459 | −0.112730 | − | 0.993626i | \(-0.535959\pi\) | ||||
−0.112730 | + | 0.993626i | \(0.535959\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 682.084 | + | 393.802i | 1.10548 | + | 0.638252i | 0.937656 | − | 0.347564i | \(-0.112991\pi\) |
0.167829 | + | 0.985816i | \(0.446324\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 121.747 | + | 210.873i | 0.196684 | + | 0.340667i | 0.947451 | − | 0.319900i | \(-0.103649\pi\) |
−0.750767 | + | 0.660567i | \(0.770316\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −152.083 | − | 893.096i | −0.244900 | − | 1.43816i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 1010.28 | − | 583.287i | 1.62164 | − | 0.936255i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 160.610 | − | 532.683i | 0.256156 | − | 0.849574i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 906.662i | 1.44143i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 111.924 | 0.177376 | 0.0886879 | − | 0.996059i | \(-0.471733\pi\) | ||||
0.0886879 | + | 0.996059i | \(0.471733\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −64.5066 | − | 274.565i | −0.101906 | − | 0.433752i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 51.6358 | + | 89.4359i | 0.0810609 | + | 0.140402i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 322.753 | + | 20.0645i | 0.505090 | + | 0.0313998i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 632.095 | − | 364.940i | 0.986107 | − | 0.569329i | 0.0819990 | − | 0.996632i | \(-0.473870\pi\) |
0.904108 | + | 0.427303i | \(0.140536\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −288.500 | + | 499.697i | −0.448678 | + | 0.777133i | −0.998300 | − | 0.0582801i | \(-0.981438\pi\) |
0.549622 | + | 0.835413i | \(0.314772\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 129.029i | 0.199426i | 0.995016 | + | 0.0997130i | \(0.0317925\pi\) | ||||
−0.995016 | + | 0.0997130i | \(0.968208\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 69.7011 | 0.107398 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 396.600 | − | 372.711i | 0.609217 | − | 0.572520i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −1026.62 | − | 592.717i | −1.57215 | − | 0.907682i | −0.995905 | − | 0.0904070i | \(-0.971183\pi\) |
−0.576247 | − | 0.817275i | \(-0.695483\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −26.4416 | + | 425.334i | −0.0402459 | + | 0.647388i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 947.808 | − | 547.217i | 1.43825 | − | 0.830375i | 0.440524 | − | 0.897741i | \(-0.354793\pi\) |
0.997728 | + | 0.0673658i | \(0.0214595\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −604.876 | + | 1047.68i | −0.915093 | + | 1.58499i | −0.108327 | + | 0.994115i | \(0.534549\pi\) |
−0.806765 | + | 0.590872i | \(0.798784\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −320.935 | + | 75.4007i | −0.484064 | + | 0.113727i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −558.269 | −0.836984 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 447.365 | + | 134.886i | 0.668708 | + | 0.201623i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −816.550 | − | 471.435i | −1.21692 | − | 0.702586i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 508.615 | + | 880.948i | 0.755743 | + | 1.30899i | 0.945004 | + | 0.327059i | \(0.106058\pi\) |
−0.189260 | + | 0.981927i | \(0.560609\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −689.890 | + | 398.308i | −1.01904 | + | 0.588343i | −0.913826 | − | 0.406107i | \(-0.866886\pi\) |
−0.105214 | + | 0.994450i | \(0.533553\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 327.784 | − | 567.738i | 0.482745 | − | 0.836139i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −138.448 | + | 459.181i | −0.203302 | + | 0.674275i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 400.485i | 0.586361i | 0.956057 | + | 0.293181i | \(0.0947138\pi\) | ||||
−0.956057 | + | 0.293181i | \(0.905286\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 26.2431 | + | 111.701i | 0.0381995 | + | 0.162592i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 100.728 | + | 58.1556i | 0.146195 | + | 0.0844057i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 216.423 | + | 374.855i | 0.313202 | + | 0.542482i | 0.979054 | − | 0.203602i | \(-0.0652650\pi\) |
−0.665852 | + | 0.746084i | \(0.731932\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 821.433 | − | 1238.36i | 1.18533 | − | 1.78695i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −310.830 | + | 538.373i | −0.445954 | + | 0.772415i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −323.555 | − | 344.294i | −0.462883 | − | 0.492553i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − | 65.4412i | − | 0.0933541i | −0.998910 | − | 0.0466770i | \(-0.985137\pi\) | ||
0.998910 | − | 0.0466770i | \(-0.0148632\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 460.103 | 0.654485 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −859.911 | − | 496.470i | −1.21628 | − | 0.702221i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −100.461 | − | 174.003i | −0.141693 | − | 0.245420i | 0.786441 | − | 0.617665i | \(-0.211921\pi\) |
−0.928134 | + | 0.372245i | \(0.878588\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 681.615 | − | 338.990i | 0.958671 | − | 0.476779i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −649.471 | + | 374.972i | −0.910899 | + | 0.525908i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 210.681 | − | 49.4975i | 0.293836 | − | 0.0690342i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 1062.98i | 1.47841i | 0.673478 | + | 0.739207i | \(0.264800\pi\) | ||||
−0.673478 | + | 0.739207i | \(0.735200\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −597.801 | −0.829128 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 651.258 | + | 196.362i | 0.900772 | + | 0.271593i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 495.629 | + | 858.455i | 0.681746 | + | 1.18082i | 0.974448 | + | 0.224614i | \(0.0721122\pi\) |
−0.292702 | + | 0.956204i | \(0.594554\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −135.000 | + | 716.391i | −0.185185 | + | 0.982704i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −357.844 | + | 206.601i | −0.489526 | + | 0.282628i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −590.134 | + | 1022.14i | −0.805095 | + | 1.39446i | 0.111133 | + | 0.993806i | \(0.464552\pi\) |
−0.916227 | + | 0.400659i | \(0.868781\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | − | 128.134i | − | 0.173859i | ||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 599.351 | 0.811029 | 0.405515 | − | 0.914089i | \(-0.367092\pi\) | ||||
0.405515 | + | 0.914089i | \(0.367092\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 38.2635 | + | 162.864i | 0.0516377 | + | 0.219790i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −287.083 | − | 165.747i | −0.386383 | − | 0.223078i | 0.294209 | − | 0.955741i | \(-0.404944\pi\) |
−0.680592 | + | 0.732663i | \(0.738277\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −153.526 | − | 308.698i | −0.205523 | − | 0.413250i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 512.519 | − | 295.903i | 0.684271 | − | 0.395064i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −76.0448 | + | 131.713i | −0.101258 | + | 0.175384i | −0.912203 | − | 0.409738i | \(-0.865620\pi\) |
0.810945 | + | 0.585122i | \(0.198953\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −458.002 | − | 487.358i | −0.608236 | − | 0.647222i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 1179.61 | 1.55827 | 0.779134 | − | 0.626858i | \(-0.215659\pi\) | ||||
0.779134 | + | 0.626858i | \(0.215659\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −1492.17 | + | 1402.28i | −1.96596 | + | 1.84754i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −1162.58 | − | 671.214i | −1.52770 | − | 0.882016i | −0.999458 | − | 0.0329205i | \(-0.989519\pi\) |
−0.528239 | − | 0.849096i | \(-0.677147\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −127.024 | − | 220.013i | −0.166480 | − | 0.288352i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −18.1510 | + | 10.4795i | −0.0236649 | + | 0.0136629i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −548.512 | + | 950.051i | −0.713280 | + | 1.23544i | 0.250339 | + | 0.968158i | \(0.419458\pi\) |
−0.963619 | + | 0.267279i | \(0.913876\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 310.928 | − | 73.0497i | 0.403279 | − | 0.0947467i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 1181.39i | 1.52832i | 0.645028 | + | 0.764159i | \(0.276846\pi\) | ||||
−0.645028 | + | 0.764159i | \(0.723154\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 1176.59 | + | 354.755i | 1.51427 | + | 0.456570i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 273.208 | + | 157.737i | 0.350716 | + | 0.202486i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −365.454 | − | 632.984i | −0.467931 | − | 0.810479i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 421.227 | + | 156.117i | 0.537965 | + | 0.199383i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −18.0311 | + | 31.2308i | −0.0229112 | + | 0.0396834i | −0.877254 | − | 0.480027i | \(-0.840627\pi\) |
0.854342 | + | 0.519710i | \(0.173960\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 155.344 | − | 515.217i | 0.196887 | − | 0.653000i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 152.087i | 0.192271i | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 283.519 | 0.357527 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 115.618 | + | 66.7523i | 0.145067 | + | 0.0837544i | 0.570777 | − | 0.821105i | \(-0.306642\pi\) |
−0.425710 | + | 0.904860i | \(0.639976\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 344.103 | + | 596.004i | 0.430667 | + | 0.745938i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 1291.01 | + | 80.2578i | 1.61175 | + | 0.100197i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 834.167 | − | 481.607i | 1.03881 | − | 0.599759i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 855.375 | + | 910.202i | 1.05994 | + | 1.12788i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 1053.66i | 1.30242i | 0.758898 | + | 0.651209i | \(0.225738\pi\) | ||||
−0.758898 | + | 0.651209i | \(0.774262\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 434.464 | 0.535714 | 0.267857 | − | 0.963459i | \(-0.413684\pi\) | ||||
0.267857 | + | 0.963459i | \(0.413684\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −867.696 | + | 815.429i | −1.06728 | + | 1.00299i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 104.844 | + | 181.595i | 0.128328 | + | 0.222270i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −27.7254 | + | 445.984i | −0.0338527 | + | 0.544547i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 252.436 | − | 145.744i | 0.307474 | − | 0.177520i | −0.338322 | − | 0.941031i | \(-0.609859\pi\) |
0.645796 | + | 0.763510i | \(0.276526\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 168.409 | − | 291.693i | 0.204628 | − | 0.354426i | −0.745386 | − | 0.666633i | \(-0.767735\pi\) |
0.950014 | + | 0.312207i | \(0.101068\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | − | 1029.27i | − | 1.24458i | −0.782785 | − | 0.622292i | \(-0.786202\pi\) | ||
0.782785 | − | 0.622292i | \(-0.213798\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 790.674 | 0.953768 | 0.476884 | − | 0.878966i | \(-0.341766\pi\) | ||||
0.476884 | + | 0.878966i | \(0.341766\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 331.881 | + | 100.066i | 0.399376 | + | 0.120416i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −262.675 | − | 151.656i | −0.315336 | − | 0.182060i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 594.901 | − | 101.304i | 0.710753 | − | 0.121032i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 655.031 | − | 378.182i | 0.780728 | − | 0.450754i | −0.0559600 | − | 0.998433i | \(-0.517822\pi\) |
0.836688 | + | 0.547679i | \(0.184489\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −282.088 | + | 488.591i | −0.335420 | + | 0.580964i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −422.564 | + | 1401.49i | −0.501262 | + | 1.66250i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −2376.65 | −2.80596 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −233.047 | − | 991.940i | −0.274496 | − | 1.16836i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −1466.50 | − | 846.686i | −1.72327 | − | 0.994930i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −599.175 | − | 1037.80i | −0.702433 | − | 1.21665i | −0.967610 | − | 0.252450i | \(-0.918764\pi\) |
0.265177 | − | 0.964200i | \(-0.414570\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −605.629 | + | 349.660i | −0.706685 | + | 0.408005i | −0.809832 | − | 0.586661i | \(-0.800442\pi\) |
0.103147 | + | 0.994666i | \(0.467109\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 278.734 | − | 482.781i | 0.324486 | − | 0.562027i | −0.656922 | − | 0.753959i | \(-0.728142\pi\) |
0.981408 | + | 0.191932i | \(0.0614753\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 577.035 | + | 614.021i | 0.670192 | + | 0.713149i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 99.3954i | 0.115174i | 0.998340 | + | 0.0575871i | \(0.0183407\pi\) | ||||
−0.998340 | + | 0.0575871i | \(0.981659\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 73.7881 | − | 69.3434i | 0.0851073 | − | 0.0799808i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −1490.11 | − | 860.314i | −1.71474 | − | 0.990004i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 19.2648 | + | 33.3676i | 0.0221180 | + | 0.0383096i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 650.849 | − | 323.689i | 0.745532 | − | 0.370778i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 401.292 | − | 695.058i | 0.457574 | − | 0.792541i | −0.541258 | − | 0.840856i | \(-0.682052\pi\) |
0.998832 | + | 0.0483154i | \(0.0153853\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 412.797 | − | 96.9830i | 0.469622 | − | 0.110333i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 524.266i | 0.595080i | 0.954709 | + | 0.297540i | \(0.0961662\pi\) | ||||
−0.954709 | + | 0.297540i | \(0.903834\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 993.894 | 1.12559 | 0.562794 | − | 0.826597i | \(-0.309727\pi\) | ||||
0.562794 | + | 0.826597i | \(0.309727\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −616.643 | − | 356.019i | −0.695200 | − | 0.401374i | 0.110357 | − | 0.993892i | \(-0.464801\pi\) |
−0.805557 | + | 0.592518i | \(0.798134\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −511.780 | − | 886.429i | −0.575681 | − | 0.997108i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 1518.02 | − | 640.779i | 1.70372 | − | 0.719168i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 302.454 | − | 174.622i | 0.338694 | − | 0.195545i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 177.746 | − | 589.516i | 0.198156 | − | 0.657209i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | − | 371.869i | − | 0.413647i | ||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −341.609 | −0.379144 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 128.094 | + | 545.217i | 0.141854 | + | 0.603784i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −374.473 | − | 648.606i | −0.412870 | − | 0.715111i | 0.582333 | − | 0.812951i | \(-0.302140\pi\) |
−0.995202 | + | 0.0978396i | \(0.968807\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −490.268 | − | 985.793i | −0.539349 | − | 1.08448i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −3.87633 | + | 2.23800i | −0.00425503 | + | 0.00245664i | −0.502126 | − | 0.864794i | \(-0.667449\pi\) |
0.497871 | + | 0.867251i | \(0.334115\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −389.629 | + | 674.857i | −0.426757 | + | 0.739165i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | − | 1318.66i | − | 1.43802i | ||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −1592.91 | −1.73331 | −0.866653 | − | 0.498912i | \(-0.833733\pi\) | ||||
−0.866653 | + | 0.498912i | \(0.833733\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −263.757 | + | 247.869i | −0.286381 | + | 0.269130i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 190.337 | + | 109.891i | 0.206215 | + | 0.119059i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −552.371 | − | 366.401i | −0.595869 | − | 0.395255i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −770.784 | + | 445.012i | −0.829692 | + | 0.479023i | −0.853747 | − | 0.520688i | \(-0.825676\pi\) |
0.0240553 | + | 0.999711i | \(0.492342\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −76.9605 | + | 133.300i | −0.0826644 | + | 0.143179i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 402.159 | − | 94.4835i | 0.431038 | − | 0.101269i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −443.554 | −0.473377 | −0.236688 | − | 0.971586i | \(-0.576062\pi\) | ||||
−0.236688 | + | 0.971586i | \(0.576062\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −742.578 | − | 223.896i | −0.790818 | − | 0.238441i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −69.7458 | − | 40.2678i | −0.0741188 | − | 0.0427925i | 0.462483 | − | 0.886628i | \(-0.346959\pi\) |
−0.536601 | + | 0.843836i | \(0.680292\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −580.536 | − | 1005.52i | −0.615627 | − | 1.06630i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −245.861 | + | 141.948i | −0.259621 | + | 0.149892i | −0.624162 | − | 0.781295i | \(-0.714559\pi\) |
0.364541 | + | 0.931187i | \(0.381226\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −144.818 | + | 250.832i | −0.152601 | + | 0.264312i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −16.7079 | + | 55.4138i | −0.0175688 | + | 0.0582690i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | − | 1123.17i | − | 1.17857i | −0.807927 | − | 0.589283i | \(-0.799410\pi\) | ||
0.807927 | − | 0.589283i | \(-0.200590\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −232.227 | − | 988.448i | −0.242661 | − | 1.03286i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 733.626 | + | 423.559i | 0.764991 | + | 0.441668i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 230.727 | + | 399.631i | 0.240090 | + | 0.415849i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 654.933 | + | 40.7150i | 0.680097 | + | 0.0422794i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −699.536 | + | 1211.63i | −0.723409 | + | 1.25298i | 0.236217 | + | 0.971700i | \(0.424093\pi\) |
−0.959626 | + | 0.281281i | \(0.909241\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −336.493 | − | 358.061i | −0.347258 | − | 0.369516i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | − | 1705.41i | − | 1.75634i | −0.478345 | − | 0.878172i | \(-0.658763\pi\) | ||
0.478345 | − | 0.878172i | \(-0.341237\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 497.024 | 0.510816 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −1005.50 | − | 580.524i | −1.02917 | − | 0.594190i | −0.112422 | − | 0.993661i | \(-0.535861\pi\) |
−0.916746 | + | 0.399470i | \(0.869194\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −1461.81 | − | 2531.94i | −1.49317 | − | 2.58625i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 17.4780 | − | 281.148i | 0.0178165 | − | 0.286593i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 1023.46 | − | 590.895i | 1.04116 | − | 0.601114i | 0.120999 | − | 0.992653i | \(-0.461390\pi\) |
0.920162 | + | 0.391539i | \(0.128057\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 908.083 | − | 213.346i | 0.920043 | − | 0.216156i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | − | 771.737i | − | 0.780320i | ||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −969.527 | −0.978332 | −0.489166 | − | 0.872191i | \(-0.662699\pi\) | ||||
−0.489166 | + | 0.872191i | \(0.662699\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −565.238 | − | 170.426i | −0.569223 | − | 0.171627i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 390.124 | + | 675.714i | 0.391298 | + | 0.677747i | 0.992621 | − | 0.121258i | \(-0.0386930\pi\) |
−0.601323 | + | 0.799006i | \(0.705360\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 869.739 | + | 1048.94i | 0.870610 | + | 1.04999i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))