Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1620,4,Mod(541,1620)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1620, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 4, 0]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1620.541");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1620 = 2^{2} \cdot 3^{4} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 1620.i (of order \(3\), 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: | \(95.5830942093\) |
Analytic rank: | \(0\) |
Dimension: | \(2\) |
Coefficient field: | \(\Q(\zeta_{6})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 20) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 541.1 | ||
Root | \(0.500000 + 0.866025i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1620.541 |
Dual form | 1620.4.i.d.1081.1 |
$q$-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 \(\left(\mathbb{Z}/1620\mathbb{Z}\right)^\times\).
\(n\) | \(811\) | \(1297\) | \(1541\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
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 | ||||||||
\(5\) | −2.50000 | − | 4.33013i | −0.223607 | − | 0.387298i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 8.00000 | − | 13.8564i | 0.431959 | − | 0.748176i | −0.565083 | − | 0.825034i | \(-0.691156\pi\) |
0.997042 | + | 0.0768587i | \(0.0244890\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 30.0000 | − | 51.9615i | 0.822304 | − | 1.42427i | −0.0816590 | − | 0.996660i | \(-0.526022\pi\) |
0.903963 | − | 0.427611i | \(-0.140645\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −43.0000 | − | 74.4782i | −0.917389 | − | 1.58896i | −0.803366 | − | 0.595486i | \(-0.796960\pi\) |
−0.114023 | − | 0.993478i | \(-0.536374\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 18.0000 | 0.256802 | 0.128401 | − | 0.991722i | \(-0.459015\pi\) | ||||
0.128401 | + | 0.991722i | \(0.459015\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 44.0000 | 0.531279 | 0.265639 | − | 0.964072i | \(-0.414417\pi\) | ||||
0.265639 | + | 0.964072i | \(0.414417\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −24.0000 | − | 41.5692i | −0.217580 | − | 0.376860i | 0.736487 | − | 0.676451i | \(-0.236483\pi\) |
−0.954068 | + | 0.299591i | \(0.903150\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −12.5000 | + | 21.6506i | −0.100000 | + | 0.173205i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 93.0000 | − | 161.081i | 0.595506 | − | 1.03145i | −0.397970 | − | 0.917399i | \(-0.630285\pi\) |
0.993475 | − | 0.114048i | \(-0.0363816\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −88.0000 | − | 152.420i | −0.509847 | − | 0.883081i | −0.999935 | − | 0.0114083i | \(-0.996369\pi\) |
0.490088 | − | 0.871673i | \(-0.336965\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −80.0000 | −0.386356 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 254.000 | 1.12858 | 0.564288 | − | 0.825578i | \(-0.309151\pi\) | ||||
0.564288 | + | 0.825578i | \(0.309151\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −93.0000 | − | 161.081i | −0.354248 | − | 0.613575i | 0.632741 | − | 0.774363i | \(-0.281930\pi\) |
−0.986989 | + | 0.160788i | \(0.948596\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 50.0000 | − | 86.6025i | 0.177324 | − | 0.307134i | −0.763639 | − | 0.645643i | \(-0.776589\pi\) |
0.940963 | + | 0.338509i | \(0.109923\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −84.0000 | + | 145.492i | −0.260695 | + | 0.451537i | −0.966427 | − | 0.256942i | \(-0.917285\pi\) |
0.705732 | + | 0.708479i | \(0.250618\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 43.5000 | + | 75.3442i | 0.126822 | + | 0.219662i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −498.000 | −1.29067 | −0.645335 | − | 0.763899i | \(-0.723282\pi\) | ||||
−0.645335 | + | 0.763899i | \(0.723282\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −300.000 | −0.735491 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 126.000 | + | 218.238i | 0.278031 | + | 0.481563i | 0.970895 | − | 0.239505i | \(-0.0769850\pi\) |
−0.692865 | + | 0.721068i | \(0.743652\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 29.0000 | − | 50.2295i | 0.0608700 | − | 0.105430i | −0.833985 | − | 0.551788i | \(-0.813946\pi\) |
0.894855 | + | 0.446358i | \(0.147279\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −215.000 | + | 372.391i | −0.410269 | + | 0.710606i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 518.000 | + | 897.202i | 0.944534 | + | 1.63598i | 0.756682 | + | 0.653783i | \(0.226819\pi\) |
0.187852 | + | 0.982197i | \(0.439847\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 168.000 | 0.280816 | 0.140408 | − | 0.990094i | \(-0.455159\pi\) | ||||
0.140408 | + | 0.990094i | \(0.455159\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 506.000 | 0.811272 | 0.405636 | − | 0.914035i | \(-0.367050\pi\) | ||||
0.405636 | + | 0.914035i | \(0.367050\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −480.000 | − | 831.384i | −0.710404 | − | 1.23046i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −136.000 | + | 235.559i | −0.193686 | + | 0.335474i | −0.946469 | − | 0.322795i | \(-0.895378\pi\) |
0.752783 | + | 0.658269i | \(0.228711\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −474.000 | + | 820.992i | −0.626846 | + | 1.08573i | 0.361334 | + | 0.932436i | \(0.382321\pi\) |
−0.988181 | + | 0.153294i | \(0.951012\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −45.0000 | − | 77.9423i | −0.0574228 | − | 0.0994592i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −1014.00 | −1.20768 | −0.603841 | − | 0.797104i | \(-0.706364\pi\) | ||||
−0.603841 | + | 0.797104i | \(0.706364\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −1376.00 | −1.58510 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −110.000 | − | 190.526i | −0.118797 | − | 0.205763i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 383.000 | − | 663.375i | 0.400905 | − | 0.694387i | −0.592931 | − | 0.805254i | \(-0.702029\pi\) |
0.993835 | + | 0.110866i | \(0.0353625\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 657.000 | − | 1137.96i | 0.647267 | − | 1.12110i | −0.336506 | − | 0.941681i | \(-0.609245\pi\) |
0.983773 | − | 0.179418i | \(-0.0574214\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 224.000 | + | 387.979i | 0.214285 | + | 0.371153i | 0.953051 | − | 0.302809i | \(-0.0979245\pi\) |
−0.738766 | + | 0.673962i | \(0.764591\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 1548.00 | 1.39861 | 0.699303 | − | 0.714826i | \(-0.253494\pi\) | ||||
0.699303 | + | 0.714826i | \(0.253494\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 278.000 | 0.244290 | 0.122145 | − | 0.992512i | \(-0.461023\pi\) | ||||
0.122145 | + | 0.992512i | \(0.461023\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 279.000 | + | 483.242i | 0.232266 | + | 0.402297i | 0.958475 | − | 0.285177i | \(-0.0920525\pi\) |
−0.726208 | + | 0.687475i | \(0.758719\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −120.000 | + | 207.846i | −0.0973048 | + | 0.168537i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 144.000 | − | 249.415i | 0.110928 | − | 0.192133i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −1134.50 | − | 1965.01i | −0.852367 | − | 1.47634i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 125.000 | 0.0894427 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 344.000 | 0.240355 | 0.120177 | − | 0.992752i | \(-0.461654\pi\) | ||||
0.120177 | + | 0.992752i | \(0.461654\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −390.000 | − | 675.500i | −0.260110 | − | 0.450524i | 0.706161 | − | 0.708052i | \(-0.250426\pi\) |
−0.966271 | + | 0.257527i | \(0.917092\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 352.000 | − | 609.682i | 0.229491 | − | 0.397490i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −333.000 | + | 576.773i | −0.207665 | + | 0.359686i | −0.950979 | − | 0.309257i | \(-0.899920\pi\) |
0.743314 | + | 0.668943i | \(0.233253\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −442.000 | − | 765.566i | −0.269712 | − | 0.467155i | 0.699075 | − | 0.715048i | \(-0.253595\pi\) |
−0.968787 | + | 0.247893i | \(0.920262\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −5160.00 | −3.01749 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −930.000 | −0.532637 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 57.0000 | + | 98.7269i | 0.0313397 | + | 0.0542820i | 0.881270 | − | 0.472613i | \(-0.156689\pi\) |
−0.849930 | + | 0.526895i | \(0.823356\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 20.0000 | − | 34.6410i | 0.0107787 | − | 0.0186692i | −0.860586 | − | 0.509306i | \(-0.829902\pi\) |
0.871364 | + | 0.490636i | \(0.163236\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −440.000 | + | 762.102i | −0.228011 | + | 0.394926i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 77.0000 | + | 133.368i | 0.0391418 | + | 0.0677957i | 0.884933 | − | 0.465719i | \(-0.154204\pi\) |
−0.845791 | + | 0.533515i | \(0.820871\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −768.000 | −0.375943 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 2180.00 | 1.04755 | 0.523775 | − | 0.851856i | \(-0.324523\pi\) | ||||
0.523775 | + | 0.851856i | \(0.324523\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −1848.00 | − | 3200.83i | −0.856303 | − | 1.48316i | −0.875431 | − | 0.483343i | \(-0.839423\pi\) |
0.0191287 | − | 0.999817i | \(-0.493911\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −2599.50 | + | 4502.47i | −1.18320 | + | 2.04937i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −651.000 | + | 1127.57i | −0.286096 | + | 0.495533i | −0.972874 | − | 0.231334i | \(-0.925691\pi\) |
0.686778 | + | 0.726867i | \(0.259024\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 200.000 | + | 346.410i | 0.0863919 | + | 0.149635i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −4308.00 | −1.79885 | −0.899427 | − | 0.437070i | \(-0.856016\pi\) | ||||
−0.899427 | + | 0.437070i | \(0.856016\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 1550.00 | 0.636523 | 0.318261 | − | 0.948003i | \(-0.396901\pi\) | ||||
0.318261 | + | 0.948003i | \(0.396901\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −635.000 | − | 1099.85i | −0.252357 | − | 0.437096i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 540.000 | − | 935.307i | 0.211170 | − | 0.365756i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −24.0000 | + | 41.5692i | −0.00909204 | + | 0.0157479i | −0.870536 | − | 0.492105i | \(-0.836227\pi\) |
0.861444 | + | 0.507853i | \(0.169561\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −529.000 | − | 916.255i | −0.197297 | − | 0.341728i | 0.750354 | − | 0.661036i | \(-0.229883\pi\) |
−0.947651 | + | 0.319308i | \(0.896550\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −3714.00 | −1.34321 | −0.671603 | − | 0.740911i | \(-0.734394\pi\) | ||||
−0.671603 | + | 0.740911i | \(0.734394\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −1768.00 | −0.629800 | −0.314900 | − | 0.949125i | \(-0.601971\pi\) | ||||
−0.314900 | + | 0.949125i | \(0.601971\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −1488.00 | − | 2577.29i | −0.514469 | − | 0.891086i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −465.000 | + | 805.404i | −0.158424 | + | 0.274399i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 1320.00 | − | 2286.31i | 0.436872 | − | 0.756685i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 2018.00 | + | 3495.28i | 0.658412 | + | 1.14040i | 0.981027 | + | 0.193872i | \(0.0621047\pi\) |
−0.322615 | + | 0.946530i | \(0.604562\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −500.000 | −0.158603 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −2816.00 | −0.880933 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −774.000 | − | 1340.61i | −0.235588 | − | 0.408050i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −340.000 | + | 588.897i | −0.102099 | + | 0.176841i | −0.912549 | − | 0.408967i | \(-0.865889\pi\) |
0.810450 | + | 0.585807i | \(0.199223\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −1194.00 | + | 2068.07i | −0.349113 | + | 0.604681i | −0.986092 | − | 0.166200i | \(-0.946850\pi\) |
0.636979 | + | 0.770881i | \(0.280184\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 1937.00 | + | 3354.98i | 0.558954 | + | 0.968137i | 0.997584 | + | 0.0694695i | \(0.0221307\pi\) |
−0.438630 | + | 0.898668i | \(0.644536\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 3162.00 | 0.889054 | 0.444527 | − | 0.895766i | \(-0.353372\pi\) | ||||
0.444527 | + | 0.895766i | \(0.353372\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 840.000 | 0.233173 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −2712.00 | − | 4697.32i | −0.733995 | − | 1.27132i | −0.955163 | − | 0.296080i | \(-0.904320\pi\) |
0.221169 | − | 0.975236i | \(-0.429013\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 1943.00 | − | 3365.37i | 0.519335 | − | 0.899514i | −0.480413 | − | 0.877042i | \(-0.659513\pi\) |
0.999747 | − | 0.0224714i | \(-0.00715348\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 217.500 | − | 376.721i | 0.0567166 | − | 0.0982360i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −1892.00 | − | 3277.04i | −0.487389 | − | 0.844182i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −5100.00 | −1.28251 | −0.641253 | − | 0.767329i | \(-0.721585\pi\) | ||||
−0.641253 | + | 0.767329i | \(0.721585\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −2880.00 | −0.715668 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −1089.00 | − | 1886.20i | −0.264319 | − | 0.457814i | 0.703066 | − | 0.711125i | \(-0.251814\pi\) |
−0.967385 | + | 0.253311i | \(0.918480\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 2032.00 | − | 3519.53i | 0.487499 | − | 0.844374i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 3072.00 | − | 5320.86i | 0.720257 | − | 1.24752i | −0.240639 | − | 0.970615i | \(-0.577357\pi\) |
0.960897 | − | 0.276907i | \(-0.0893095\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 1245.00 | + | 2156.40i | 0.288603 | + | 0.499875i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 822.000 | 0.186313 | 0.0931566 | − | 0.995651i | \(-0.470304\pi\) | ||||
0.0931566 | + | 0.995651i | \(0.470304\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 8480.00 | 1.90082 | 0.950412 | − | 0.310994i | \(-0.100662\pi\) | ||||
0.950412 | + | 0.310994i | \(0.100662\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 750.000 | + | 1299.04i | 0.164461 | + | 0.284854i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 569.000 | − | 985.537i | 0.123422 | − | 0.213773i | −0.797693 | − | 0.603064i | \(-0.793946\pi\) |
0.921115 | + | 0.389291i | \(0.127280\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −2853.00 | + | 4941.54i | −0.605679 | + | 1.04907i | 0.386265 | + | 0.922388i | \(0.373765\pi\) |
−0.991944 | + | 0.126678i | \(0.959568\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 1514.00 | + | 2622.32i | 0.318014 | + | 0.550816i | 0.980074 | − | 0.198635i | \(-0.0636508\pi\) |
−0.662060 | + | 0.749451i | \(0.730317\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −2976.00 | −0.612083 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −4589.00 | −0.934053 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −1695.00 | − | 2935.83i | −0.337962 | − | 0.585368i | 0.646087 | − | 0.763264i | \(-0.276404\pi\) |
−0.984049 | + | 0.177896i | \(0.943071\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 630.000 | − | 1091.19i | 0.124339 | − | 0.215362i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −2064.00 | + | 3574.95i | −0.399211 | + | 0.691454i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −800.000 | − | 1385.64i | −0.153193 | − | 0.265339i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −290.000 | −0.0544438 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −4156.00 | −0.772624 | −0.386312 | − | 0.922368i | \(-0.626251\pi\) | ||||
−0.386312 | + | 0.922368i | \(0.626251\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −3276.00 | − | 5674.20i | −0.597315 | − | 1.03458i | −0.993216 | − | 0.116286i | \(-0.962901\pi\) |
0.395901 | − | 0.918293i | \(-0.370432\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 683.000 | − | 1182.99i | 0.123340 | − | 0.213631i | −0.797743 | − | 0.602998i | \(-0.793973\pi\) |
0.921083 | + | 0.389367i | \(0.127306\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −1299.00 | + | 2249.93i | −0.230155 | + | 0.398640i | −0.957854 | − | 0.287257i | \(-0.907257\pi\) |
0.727699 | + | 0.685897i | \(0.240590\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −5580.00 | − | 9664.84i | −0.979373 | − | 1.69632i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 792.000 | 0.136434 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 2150.00 | 0.366956 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 1344.00 | + | 2327.88i | 0.225219 | + | 0.390091i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 1646.00 | − | 2850.96i | 0.273330 | − | 0.473422i | −0.696382 | − | 0.717671i | \(-0.745208\pi\) |
0.969713 | + | 0.244249i | \(0.0785415\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 2590.00 | − | 4486.01i | 0.422408 | − | 0.731633i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −3097.00 | − | 5364.16i | −0.500606 | − | 0.867076i | −1.00000 | 0.000700294i | \(-0.999777\pi\) | |
0.499393 | − | 0.866375i | \(-0.333556\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −10560.0 | −1.67700 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 6880.00 | 1.08305 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 5010.00 | + | 8677.57i | 0.775075 | + | 1.34247i | 0.934753 | + | 0.355299i | \(0.115621\pi\) |
−0.159678 | + | 0.987169i | \(0.551046\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 1565.00 | − | 2710.66i | 0.240036 | − | 0.415754i | −0.720688 | − | 0.693259i | \(-0.756174\pi\) |
0.960724 | + | 0.277505i | \(0.0895074\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −2097.00 | + | 3632.11i | −0.316181 | + | 0.547642i | −0.979688 | − | 0.200528i | \(-0.935734\pi\) |
0.663506 | + | 0.748171i | \(0.269068\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −420.000 | − | 727.461i | −0.0627924 | − | 0.108760i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −4104.00 | −0.603345 | −0.301672 | − | 0.953412i | \(-0.597545\pi\) | ||||
−0.301672 | + | 0.953412i | \(0.597545\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −4923.00 | −0.717743 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −1265.00 | − | 2191.04i | −0.181406 | − | 0.314204i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −3748.00 | + | 6491.73i | −0.533090 | + | 0.923339i | 0.466163 | + | 0.884699i | \(0.345636\pi\) |
−0.999253 | + | 0.0386401i | \(0.987697\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −3984.00 | + | 6900.49i | −0.557517 | + | 0.965649i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 2921.00 | + | 5059.32i | 0.405479 | + | 0.702310i | 0.994377 | − | 0.105897i | \(-0.0337714\pi\) |
−0.588898 | + | 0.808207i | \(0.700438\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −15996.0 | −2.18524 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −412.000 | −0.0558391 | −0.0279195 | − | 0.999610i | \(-0.508888\pi\) | ||||
−0.0279195 | + | 0.999610i | \(0.508888\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −1284.00 | − | 2223.95i | −0.171304 | − | 0.296707i | 0.767572 | − | 0.640963i | \(-0.221465\pi\) |
−0.938876 | + | 0.344256i | \(0.888131\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −2400.00 | + | 4156.92i | −0.317702 | + | 0.550276i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −6543.00 | + | 11332.8i | −0.852810 | + | 1.47711i | 0.0258510 | + | 0.999666i | \(0.491770\pi\) |
−0.878662 | + | 0.477445i | \(0.841563\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −432.000 | − | 748.246i | −0.0558751 | − | 0.0967786i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 1360.00 | 0.173238 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 10454.0 | 1.32159 | 0.660795 | − | 0.750566i | \(-0.270219\pi\) | ||||
0.660795 | + | 0.750566i | \(0.270219\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 5415.00 | + | 9379.06i | 0.674345 | + | 1.16800i | 0.976660 | + | 0.214791i | \(0.0689071\pi\) |
−0.302315 | + | 0.953208i | \(0.597760\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −7568.00 | + | 13108.2i | −0.935456 | + | 1.62026i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 7620.00 | − | 13198.2i | 0.928033 | − | 1.60740i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 4283.00 | + | 7418.37i | 0.517801 | + | 0.896858i | 0.999786 | + | 0.0206786i | \(0.00658267\pi\) |
−0.481985 | + | 0.876180i | \(0.660084\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 4032.00 | 0.480392 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 4740.00 | 0.560669 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −6942.00 | − | 12023.9i | −0.809401 | − | 1.40192i | −0.913280 | − | 0.407333i | \(-0.866459\pi\) |
0.103879 | − | 0.994590i | \(-0.466875\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −2143.00 | + | 3711.78i | −0.248084 | + | 0.429694i | −0.962994 | − | 0.269522i | \(-0.913134\pi\) |
0.714910 | + | 0.699216i | \(0.246468\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −225.000 | + | 389.711i | −0.0256802 | + | 0.0444795i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −464.000 | − | 803.672i | −0.0525867 | − | 0.0910829i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 6336.00 | 0.708108 | 0.354054 | − | 0.935225i | \(-0.384803\pi\) | ||||
0.354054 | + | 0.935225i | \(0.384803\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −8974.00 | −0.995988 | −0.497994 | − | 0.867180i | \(-0.665930\pi\) | ||||
−0.497994 | + | 0.867180i | \(0.665930\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −1056.00 | − | 1829.05i | −0.115596 | − | 0.200218i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 1484.00 | − | 2570.36i | 0.161338 | − | 0.279446i | −0.774011 | − | 0.633173i | \(-0.781752\pi\) |
0.935349 | + | 0.353727i | \(0.115086\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 6186.00 | − | 10714.5i | 0.663444 | − | 1.14912i | −0.316261 | − | 0.948672i | \(-0.602427\pi\) |
0.979705 | − | 0.200446i | \(-0.0642393\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 2535.00 | + | 4390.75i | 0.270046 | + | 0.467734i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 11394.0 | 1.19759 | 0.598793 | − | 0.800904i | \(-0.295647\pi\) | ||||
0.598793 | + | 0.800904i | \(0.295647\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −11160.0 | −1.16520 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 3440.00 | + | 5958.25i | 0.354439 | + | 0.613906i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 179.000 | − | 310.037i | 0.0183222 | − | 0.0317351i | −0.856719 | − | 0.515784i | \(-0.827501\pi\) |
0.875041 | + | 0.484049i | \(0.160834\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 3765.00 | − | 6521.17i | 0.380376 | − | 0.658831i | −0.610740 | − | 0.791832i | \(-0.709128\pi\) |
0.991116 | + | 0.133000i | \(0.0424611\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 6884.00 | + | 11923.4i | 0.690986 | + | 1.19682i | 0.971515 | + | 0.236978i | \(0.0761568\pi\) |
−0.280529 | + | 0.959846i | \(0.590510\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 13380.0 | 1.32581 | 0.662904 | − | 0.748704i | \(-0.269324\pi\) | ||||
0.662904 | + | 0.748704i | \(0.269324\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 16576.0 | 1.63200 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −3000.00 | − | 5196.15i | −0.291628 | − | 0.505115i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −550.000 | + | 952.628i | −0.0531279 | + | 0.0920201i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 3168.00 | − | 5487.14i | 0.302191 | − | 0.523411i | −0.674441 | − | 0.738329i | \(-0.735615\pi\) |
0.976632 | + | 0.214918i | \(0.0689485\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −10922.0 | − | 18917.5i | −1.03534 | − | 1.79327i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −3830.00 | −0.358580 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −5008.00 | −0.465984 | −0.232992 | − | 0.972479i | \(-0.574852\pi\) | ||||
−0.232992 | + | 0.972479i | \(0.574852\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −6450.00 | − | 11171.7i | −0.592840 | − | 1.02683i | −0.993848 | − | 0.110754i | \(-0.964673\pi\) |
0.401008 | − | 0.916075i | \(-0.368660\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 1674.00 | − | 2899.45i | 0.152927 | − | 0.264878i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 1344.00 | − | 2327.88i | 0.121301 | − | 0.210100i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 4058.00 | + | 7028.66i | 0.364050 | + | 0.630553i | 0.988623 | − | 0.150413i | \(-0.0480603\pi\) |
−0.624573 | + | 0.780966i | \(0.714727\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −4944.00 | −0.438255 | −0.219127 | − | 0.975696i | \(-0.570321\pi\) | ||||
−0.219127 | + | 0.975696i | \(0.570321\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −6570.00 | −0.578933 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 2733.00 | + | 4733.69i | 0.237992 | + | 0.412215i | 0.960138 | − | 0.279526i | \(-0.0901774\pi\) |
−0.722146 | + | 0.691741i | \(0.756844\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 4048.00 | − | 7011.34i | 0.350436 | − | 0.606974i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 1120.00 | − | 1939.90i | 0.0958313 | − | 0.165985i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 5040.00 | + | 8729.54i | 0.428741 | + | 0.742601i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 10074.0 | 0.847121 | 0.423560 | − | 0.905868i | \(-0.360780\pi\) | ||||
0.423560 | + | 0.905868i | \(0.360780\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −13828.0 | −1.15613 | −0.578065 | − | 0.815991i | \(-0.696192\pi\) | ||||
−0.578065 | + | 0.815991i | \(0.696192\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −1584.00 | − | 2743.57i | −0.130930 | − | 0.226777i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 4931.50 | − | 8541.61i | 0.405318 | − | 0.702031i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −7998.00 | + | 13852.9i | −0.649966 | + | 1.12577i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −3870.00 | − | 6703.04i | −0.312738 | − | 0.541678i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 5220.00 | 0.417145 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −15226.0 | −1.21001 | −0.605006 | − | 0.796221i | \(-0.706829\pi\) | ||||
−0.605006 | + | 0.796221i | \(0.706829\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −695.000 | − | 1203.78i | −0.0546248 | − | 0.0946130i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 6614.00 | − | 11455.8i | 0.516991 | − | 0.895455i | −0.482814 | − | 0.875723i | \(-0.660385\pi\) |
0.999805 | − | 0.0197322i | \(-0.00628137\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 4092.00 | − | 7087.55i | 0.316379 | − | 0.547985i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 2176.00 | + | 3768.94i | 0.167329 | + | 0.289822i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −8490.00 | −0.645840 | −0.322920 | − | 0.946426i | \(-0.604664\pi\) | ||||
−0.322920 | + | 0.946426i | \(0.604664\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −8600.00 | −0.650700 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 5142.00 | + | 8906.21i | 0.384919 | + | 0.666699i | 0.991758 | − | 0.128125i | \(-0.0408960\pi\) |
−0.606839 | + | 0.794825i | \(0.707563\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 1395.00 | − | 2416.21i | 0.103873 | − | 0.179913i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −885.000 | + | 1532.86i | −0.0652041 | + | 0.112937i | −0.896785 | − | 0.442468i | \(-0.854103\pi\) |
0.831580 | + | 0.555404i | \(0.187437\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −3034.00 | − | 5255.04i | −0.222362 | − | 0.385143i | 0.733162 | − | 0.680054i | \(-0.238043\pi\) |
−0.955525 | + | 0.294911i | \(0.904710\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 1200.00 | 0.0870321 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 21506.0 | 1.55166 | 0.775829 | − | 0.630943i | \(-0.217332\pi\) | ||||
0.775829 | + | 0.630943i | \(0.217332\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 7584.00 | + | 13135.9i | 0.541544 | + | 0.937983i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −14940.0 | + | 25876.8i | −1.06132 | + | 1.83827i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −6054.00 | + | 10485.8i | −0.425682 | + | 0.737303i | −0.996484 | − | 0.0837850i | \(-0.973299\pi\) |
0.570802 | + | 0.821088i | \(0.306632\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −3872.00 | − | 6706.50i | −0.270871 | − | 0.469162i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 15474.0 | 1.07157 | 0.535785 | − | 0.844354i | \(-0.320016\pi\) | ||||
0.535785 | + | 0.844354i | \(0.320016\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −1440.00 | −0.0992172 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 1260.00 | + | 2182.38i | 0.0859469 | + | 0.148864i | 0.905794 | − | 0.423718i | \(-0.139275\pi\) |
−0.819847 | + | 0.572582i | \(0.805942\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 6395.00 | − | 11076.5i | 0.434039 | − | 0.751778i | −0.563178 | − | 0.826336i | \(-0.690421\pi\) |
0.997217 | + | 0.0745581i | \(0.0237546\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −5672.50 | + | 9825.06i | −0.381190 | + | 0.660240i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −5788.00 | − | 10025.1i | −0.387031 | − | 0.670357i | 0.605018 | − | 0.796212i | \(-0.293166\pi\) |
−0.992049 | + | 0.125855i | \(0.959833\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 14448.0 | 0.956634 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 20126.0 | 1.32607 | 0.663035 | − | 0.748588i | \(-0.269268\pi\) | ||||
0.663035 | + | 0.748588i | \(0.269268\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 13971.0 | + | 24198.5i | 0.911590 | + | 1.57892i | 0.811818 | + | 0.583911i | \(0.198478\pi\) |
0.0997725 | + | 0.995010i | \(0.468189\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 11270.0 | − | 19520.2i | 0.731792 | − | 1.26750i | −0.224324 | − | 0.974515i | \(-0.572017\pi\) |
0.956116 | − | 0.292987i | \(-0.0946493\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −8112.00 | + | 14050.4i | −0.521670 | + | 0.903559i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −312.500 | − | 541.266i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 4572.00 | 0.289821 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −5128.00 | −0.323522 | −0.161761 | − | 0.986830i | \(-0.551717\pi\) | ||||
−0.161761 | + | 0.986830i | \(0.551717\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −860.000 | − | 1489.56i | −0.0537450 | − | 0.0930890i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 3741.00 | − | 6479.60i | 0.232690 | − | 0.403032i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 6399.00 | − | 11083.4i | 0.394298 | − | 0.682945i | −0.598713 | − | 0.800964i | \(-0.704321\pi\) |
0.993011 | + | 0.118019i | \(0.0376543\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 10574.0 | + | 18314.7i | 0.648519 | + | 1.12327i | 0.983477 | + | 0.181035i | \(0.0579447\pi\) |
−0.334957 | + | 0.942233i | \(0.608722\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 16464.0 | 1.00041 | 0.500206 | − | 0.865906i | \(-0.333258\pi\) | ||||
0.500206 | + | 0.865906i | \(0.333258\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 15120.0 | 0.914502 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 12117.0 | + | 20987.3i | 0.726148 | + | 1.25773i | 0.958500 | + | 0.285094i | \(0.0920248\pi\) |
−0.232351 | + | 0.972632i | \(0.574642\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −1950.00 | + | 3377.50i | −0.116325 | + | 0.201481i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 11418.0 | − | 19776.6i | 0.674935 | − | 1.16902i | −0.301553 | − | 0.953449i | \(-0.597505\pi\) |
0.976488 | − | 0.215572i | \(-0.0691617\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −13159.0 | − | 22792.1i | −0.774320 | − | 1.34116i | −0.935176 | − | 0.354184i | \(-0.884759\pi\) |
0.160855 | − | 0.986978i | \(-0.448575\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −3520.00 | −0.205263 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −8928.00 | −0.518281 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −1740.00 | − | 3013.77i | −0.100107 | − | 0.173391i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −14401.0 | + | 24943.3i | −0.824841 | + | 1.42867i | 0.0772004 | + | 0.997016i | \(0.475402\pi\) |
−0.902041 | + | 0.431650i | \(0.857931\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −1263.00 | + | 2187.58i | −0.0717002 | + | 0.124188i | −0.899647 | − | 0.436619i | \(-0.856176\pi\) |
0.827946 | + | 0.560807i | \(0.189509\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −6128.00 | − | 10614.0i | −0.346349 | − | 0.599894i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −23076.0 | −1.29279 | −0.646397 | − | 0.763001i | \(-0.723725\pi\) | ||||
−0.646397 | + | 0.763001i | \(0.723725\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 3330.00 | 0.185741 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 21414.0 | + | 37090.1i | 1.18405 | + | 2.05083i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −3934.00 | + | 6813.89i | −0.216579 | + | 0.375127i | −0.953760 | − | 0.300569i | \(-0.902823\pi\) |
0.737181 | + | 0.675696i | \(0.236157\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −2210.00 | + | 3827.83i | −0.120619 | + | 0.208918i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −1674.00 | − | 2899.45i | −0.0909717 | − | 0.157568i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 21510.0 | 1.15895 | 0.579473 | − | 0.814991i | \(-0.303258\pi\) | ||||
0.579473 | + | 0.814991i | \(0.303258\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 11176.0 | 0.599589 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −10512.0 | − | 18207.3i | −0.559186 | − | 0.968538i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −15007.0 | + | 25992.9i | −0.794922 | + | 1.37685i | 0.127967 | + | 0.991778i | \(0.459155\pi\) |
−0.922889 | + | 0.385067i | \(0.874178\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −4224.00 | + | 7316.18i | −0.221865 | + | 0.384282i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 12900.0 | + | 22343.5i | 0.674731 | + | 1.16867i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −816.000 | −0.0423250 | −0.0211625 | − | 0.999776i | \(-0.506737\pi\) | ||||
−0.0211625 | + | 0.999776i | \(0.506737\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 7168.00 | 0.370250 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 2325.00 | + | 4027.02i | 0.119101 | + | 0.206289i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 4976.00 | − | 8618.68i | 0.253851 | − | 0.439683i | −0.710732 | − | 0.703463i | \(-0.751636\pi\) |
0.964583 | + | 0.263780i | \(0.0849694\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 900.000 | − | 1558.85i | 0.0455372 | − | 0.0788728i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 16973.0 | + | 29398.1i | 0.855269 | + | 1.48137i | 0.876395 | + | 0.481592i | \(0.159941\pi\) |
−0.0211266 | + | 0.999777i | \(0.506725\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 62160.0 | 3.10677 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 23420.0 | 1.16579 | 0.582895 | − | 0.812548i | \(-0.301920\pi\) | ||||
0.582895 | + | 0.812548i | \(0.301920\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 7296.00 | + | 12637.0i | 0.360248 | + | 0.623968i | 0.988001 | − | 0.154444i | \(-0.0493587\pi\) |
−0.627753 | + | 0.778412i | \(0.716025\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 285.000 | − | 493.634i | 0.0140156 | − | 0.0242757i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 12384.0 | − | 21449.7i | 0.604141 | − | 1.04640i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −4528.00 | − | 7842.73i | −0.220012 | − | 0.381072i | 0.734799 | − | 0.678285i | \(-0.237276\pi\) |
−0.954811 | + | 0.297213i | \(0.903943\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −200.000 | −0.00964072 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −17554.0 | −0.842815 | −0.421408 | − | 0.906871i | \(-0.638464\pi\) | ||||
−0.421408 | + | 0.906871i | \(0.638464\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 18219.0 | + | 31556.2i | 0.867856 | + | 1.50317i | 0.864183 | + | 0.503177i | \(0.167836\pi\) |
0.00367239 | + | 0.999993i | \(0.498831\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 2224.00 | − | 3852.08i | 0.105523 | − | 0.182772i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 10836.0 | − | 18768.5i | 0.510124 | − | 0.883561i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 4511.00 | + | 7813.28i | 0.211536 | + | 0.366390i | 0.952195 | − | 0.305490i | \(-0.0988203\pi\) |
−0.740660 | + | 0.671880i | \(0.765487\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 1470.00 | 0.0683987 | 0.0341994 | − | 0.999415i | \(-0.489112\pi\) | ||||
0.0341994 | + | 0.999415i | \(0.489112\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 4400.00 | 0.203939 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −4092.00 | − | 7087.55i | −0.188204 | − | 0.325979i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 5040.00 | − | 8729.54i | 0.230916 | − | 0.399958i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 385.000 | − | 666.840i | 0.0175048 | − | 0.0303191i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −2626.00 | − | 4548.37i | −0.118941 | − | 0.206012i | 0.800407 | − | 0.599457i | \(-0.204617\pi\) |
−0.919348 | + | 0.393444i | \(0.871283\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 8928.00 | 0.401319 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −4988.00 | −0.223366 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −6147.00 | − | 10646.9i | −0.273197 | − | 0.473191i | 0.696482 | − | 0.717575i | \(-0.254748\pi\) |
−0.969679 | + | 0.244384i | \(0.921414\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −1512.00 | + | 2618.86i | −0.0669471 | + | 0.115956i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 15180.0 | − | 26292.5i | 0.667112 | − | 1.15547i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 1920.00 | + | 3325.54i | 0.0840635 | + | 0.145602i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 15546.0 | 0.675610 | 0.337805 | − | 0.941216i | \(-0.390316\pi\) | ||||
0.337805 | + | 0.941216i | \(0.390316\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 19364.0 | 0.838424 | 0.419212 | − | 0.907888i | \(-0.362306\pi\) | ||||
0.419212 | + | 0.907888i | \(0.362306\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −5450.00 | − | 9439.68i | −0.234239 | − | 0.405715i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 2200.00 | − | 3810.51i | 0.0942084 | − | 0.163174i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 3657.00 | − | 6334.11i | 0.155457 | − | 0.269259i | −0.777768 | − | 0.628551i | \(-0.783648\pi\) |
0.933225 | + | 0.359292i | \(0.116982\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −5992.00 | − | 10378.4i | −0.253789 | − | 0.439575i | 0.710777 | − | 0.703417i | \(-0.248343\pi\) |
−0.964566 | + | 0.263843i | \(0.915010\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 13500.0 | 0.567643 | 0.283822 | − | 0.958877i | \(-0.408398\pi\) | ||||
0.283822 | + | 0.958877i | \(0.408398\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −44602.0 | −1.86863 | −0.934313 | − | 0.356453i | \(-0.883986\pi\) | ||||
−0.934313 | + | 0.356453i | \(0.883986\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 783.000 | + | 1356.20i | 0.0325682 | + | 0.0564098i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −9240.00 | + | 16004.1i | −0.382950 | + | 0.663289i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −17724.0 | + | 30698.9i | −0.729321 | + | 1.26322i | 0.227849 | + | 0.973696i | \(0.426831\pi\) |
−0.957170 | + | 0.289525i | \(0.906503\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −5103.50 | − | 8839.52i | −0.209254 | − | 0.362439i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 25995.0 | 1.05829 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −36304.0 | −1.47275 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −6096.00 | − | 10558.6i | −0.245556 | − | 0.425316i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −6295.00 | + | 10903.3i | −0.252681 | + | 0.437656i | −0.964263 | − | 0.264947i | \(-0.914646\pi\) |
0.711582 | + | 0.702603i | \(0.247979\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −12453.0 | + | 21569.2i | −0.496367 | + | 0.859733i | −0.999991 | − | 0.00419015i | \(-0.998666\pi\) |
0.503624 | + | 0.863923i | \(0.332000\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −11602.0 | − | 20095.3i | −0.460833 | − | 0.798185i | 0.538170 | − | 0.842836i | \(-0.319116\pi\) |
−0.999003 | + | 0.0446509i | \(0.985782\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 19848.0 | 0.782890 | 0.391445 | − | 0.920202i | \(-0.371975\pi\) | ||||
0.391445 | + | 0.920202i | \(0.371975\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 6510.00 | 0.255892 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 8160.00 | + | 14133.5i | 0.318537 | + | 0.551723i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 44548.0 | − | 77159.4i | 1.73301 | − | 3.00166i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 1000.00 | − | 1732.05i | 0.0386356 | − | 0.0669189i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −13771.0 | − | 23852.1i | −0.530232 | − | 0.918389i | −0.999378 | − | 0.0352683i | \(-0.988771\pi\) |
0.469146 | − | 0.883121i | \(-0.344562\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −20718.0 | −0.792290 | −0.396145 | − | 0.918188i | \(-0.629652\pi\) | ||||
−0.396145 | + | 0.918188i | \(0.629652\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 25172.0 | 0.959349 | 0.479675 | − | 0.877446i | \(-0.340755\pi\) | ||||
0.479675 | + | 0.877446i | \(0.340755\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 6432.00 | + | 11140.6i | 0.243478 | + | 0.421717i | 0.961703 | − | 0.274095i | \(-0.0883781\pi\) |
−0.718224 | + | 0.695812i | \(0.755045\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 2752.00 | − | 4766.60i | 0.103824 | − | 0.179828i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −3696.00 | + | 6401.66i | −0.138502 | + | 0.239892i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 10770.0 | + | 18654.2i | 0.402236 | + | 0.696694i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −32736.0 | −1.21447 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −8964.00 | −0.331447 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −3875.00 | − | 6711.70i | −0.142331 | − | 0.246524i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 11546.0 | − | 19998.3i | 0.422689 | − | 0.732118i | −0.573513 | − | 0.819197i | \(-0.694420\pi\) |
0.996201 | + | 0.0870783i | \(0.0277530\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 7104.00 | − | 12304.5i | 0.258360 | − | 0.447493i | −0.707443 | − | 0.706771i | \(-0.750151\pi\) |
0.965803 | + | 0.259278i | \(0.0834846\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 28440.0 | + | 49259.5i | 1.03092 | + | 1.78560i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −12480.0 | −0.449428 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −26584.0 | −0.954217 | −0.477108 | − | 0.878844i | \(-0.658315\pi\) | ||||
−0.477108 | + | 0.878844i | \(0.658315\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −7224.00 | − | 12512.3i | −0.257617 | − | 0.446206i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −3175.00 | + | 5499.26i | −0.112858 | + | 0.195475i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −81.0000 | + | 140.296i | −0.00286063 | + | 0.00495475i | −0.867452 | − | 0.497521i | \(-0.834244\pi\) |
0.864592 | + | 0.502475i | \(0.167577\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 1914.00 | + | 3315.15i | 0.0673779 | + | 0.116702i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −5400.00 | −0.188876 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −29734.0 | −1.03668 | −0.518339 | − | 0.855175i | \(-0.673449\pi\) | ||||
−0.518339 | + | 0.855175i | \(0.673449\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −8571.00 | − | 14845.4i | −0.296925 | − | 0.514290i | 0.678506 | − | 0.734595i | \(-0.262628\pi\) |
−0.975431 | + | 0.220306i | \(0.929295\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −4464.00 | + | 7731.87i | −0.154155 | + | 0.267004i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −13218.0 | + | 22894.2i | −0.453566 | + | 0.785600i | −0.998605 | − | 0.0528113i | \(-0.983182\pi\) |
0.545038 | + | 0.838411i | \(0.316515\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −21758.0 | − | 37686.0i | −0.744251 | − | 1.28908i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 27882.0 | 0.947730 | 0.473865 | − | 0.880598i | \(-0.342858\pi\) | ||||
0.473865 | + | 0.880598i | \(0.342858\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 240.000 | 0.00813217 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 5328.00 | + | 9228.37i | 0.179406 | + | 0.310740i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −592.500 | + | 1026.24i | −0.0198886 | + | 0.0344480i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −2645.00 | + | 4581.27i | −0.0882337 | + | 0.152825i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −6328.00 | − | 10960.4i | −0.210439 | − | 0.364491i | 0.741413 | − | 0.671049i | \(-0.234156\pi\) |
−0.951852 | + | 0.306558i | \(0.900823\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 2916.00 | 0.0963737 | 0.0481869 | − | 0.998838i | \(-0.484656\pi\) | ||||
0.0481869 | + | 0.998838i | \(0.484656\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −14144.0 | −0.466018 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 3447.00 | + | 5970.38i | 0.112875 | + | 0.195506i | 0.916928 | − | 0.399052i | \(-0.130661\pi\) |
−0.804053 | + | 0.594558i | \(0.797327\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −30420.0 | + | 52689.0i | −0.993082 | + | 1.72007i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 22632.0 | − | 39199.8i | 0.734332 | − | 1.27190i | −0.220683 | − | 0.975346i | \(-0.570829\pi\) |
0.955016 | − | 0.296555i | \(-0.0958379\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 9285.00 | + | 16082.1i | 0.300350 | + | 0.520221i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −4800.00 | −0.154329 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 52016.0 | 1.66735 | 0.833674 | − | 0.552256i | \(-0.186233\pi\) | ||||
0.833674 | + | 0.552256i | \(0.186233\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 4420.00 | + | 7655.66i | 0.140828 | + | 0.243920i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 6929.00 | − | 12001.4i | 0.220104 | − | 0.381231i | −0.734735 | − | 0.678354i | \(-0.762694\pi\) |
0.954839 | + | 0.297123i | \(0.0960270\pi\) | |||||||
\(998\) | 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 \(a_p\))