Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [864,2,Mod(107,864)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(864, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([4, 5, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("864.107");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 864 = 2^{5} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 864.w (of order \(8\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.89907473464\) |
Analytic rank: | \(0\) |
Dimension: | \(128\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 107.11 | ||
Character | \(\chi\) | \(=\) | 864.107 |
Dual form | 864.2.w.b.323.11 |
$q$-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 \(\left(\mathbb{Z}/864\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(353\) | \(703\) |
\(\chi(n)\) | \(e\left(\frac{5}{8}\right)\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.679670 | − | 1.24018i | −0.480599 | − | 0.876940i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.07610 | + | 1.68583i | −0.538049 | + | 0.842914i | ||||
\(5\) | −0.301020 | − | 0.124687i | −0.134620 | − | 0.0557616i | 0.314356 | − | 0.949305i | \(-0.398211\pi\) |
−0.448977 | + | 0.893544i | \(0.648211\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.88637 | + | 2.88637i | −1.09094 | + | 1.09094i | −0.0955157 | + | 0.995428i | \(0.530450\pi\) |
−0.995428 | + | 0.0955157i | \(0.969550\pi\) | |||||||
\(8\) | 2.82212 | + | 0.188749i | 0.997771 | + | 0.0667327i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.0499604 | + | 0.458065i | 0.0157989 | + | 0.144853i | ||||
\(11\) | −0.306564 | − | 0.126983i | −0.0924325 | − | 0.0382868i | 0.335988 | − | 0.941866i | \(-0.390930\pi\) |
−0.428421 | + | 0.903579i | \(0.640930\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.995430 | − | 2.40318i | −0.276083 | − | 0.666523i | 0.723637 | − | 0.690180i | \(-0.242469\pi\) |
−0.999720 | + | 0.0236578i | \(0.992469\pi\) | |||||||
\(14\) | 5.54139 | + | 1.61784i | 1.48100 | + | 0.432386i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −1.68403 | − | 3.62823i | −0.421007 | − | 0.907057i | ||||
\(17\) | 2.90049 | 0.703471 | 0.351736 | − | 0.936099i | \(-0.385592\pi\) | ||||
0.351736 | + | 0.936099i | \(0.385592\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.0964983 | + | 0.0399709i | −0.0221382 | + | 0.00916995i | −0.393725 | − | 0.919228i | \(-0.628814\pi\) |
0.371587 | + | 0.928398i | \(0.378814\pi\) | |||||||
\(20\) | 0.534127 | − | 0.373293i | 0.119434 | − | 0.0834709i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.0508805 | + | 0.466501i | 0.0108478 | + | 0.0994584i | ||||
\(23\) | 2.98121 | − | 2.98121i | 0.621624 | − | 0.621624i | −0.324322 | − | 0.945947i | \(-0.605136\pi\) |
0.945947 | + | 0.324322i | \(0.105136\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3.46047 | − | 3.46047i | −0.692094 | − | 0.692094i | ||||
\(26\) | −2.30382 | + | 2.86788i | −0.451815 | + | 0.562438i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −1.75990 | − | 7.97192i | −0.332591 | − | 1.50655i | ||||
\(29\) | −3.36442 | − | 8.12242i | −0.624757 | − | 1.50830i | −0.846058 | − | 0.533091i | \(-0.821030\pi\) |
0.221301 | − | 0.975205i | \(-0.428970\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − | 1.39044i | − | 0.249730i | −0.992174 | − | 0.124865i | \(-0.960150\pi\) | ||
0.992174 | − | 0.124865i | \(-0.0398498\pi\) | |||||||
\(32\) | −3.35508 | + | 4.55450i | −0.593099 | + | 0.805129i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −1.97137 | − | 3.59713i | −0.338088 | − | 0.616902i | ||||
\(35\) | 1.22875 | − | 0.508963i | 0.207696 | − | 0.0860304i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 3.86890 | − | 9.34034i | 0.636043 | − | 1.53554i | −0.195866 | − | 0.980631i | \(-0.562752\pi\) |
0.831909 | − | 0.554912i | \(-0.187248\pi\) | |||||||
\(38\) | 0.115158 | + | 0.0925083i | 0.0186811 | + | 0.0150068i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.825981 | − | 0.408698i | −0.130599 | − | 0.0646208i | ||||
\(41\) | 5.35391 | + | 5.35391i | 0.836140 | + | 0.836140i | 0.988348 | − | 0.152208i | \(-0.0486384\pi\) |
−0.152208 | + | 0.988348i | \(0.548638\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −2.72059 | + | 6.56809i | −0.414887 | + | 1.00162i | 0.568920 | + | 0.822393i | \(0.307361\pi\) |
−0.983807 | + | 0.179232i | \(0.942639\pi\) | |||||||
\(44\) | 0.543964 | − | 0.380168i | 0.0820056 | − | 0.0573125i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −5.72347 | − | 1.67100i | −0.843880 | − | 0.246375i | ||||
\(47\) | − | 6.53877i | − | 0.953778i | −0.878964 | − | 0.476889i | \(-0.841764\pi\) | ||
0.878964 | − | 0.476889i | \(-0.158236\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | − | 9.66221i | − | 1.38032i | ||||||
\(50\) | −1.93963 | + | 6.64358i | −0.274305 | + | 0.939544i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 5.12253 | + | 0.907933i | 0.710367 | + | 0.125908i | ||||
\(53\) | 3.80522 | − | 9.18662i | 0.522688 | − | 1.26188i | −0.413540 | − | 0.910486i | \(-0.635708\pi\) |
0.936228 | − | 0.351394i | \(-0.114292\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.0764488 | + | 0.0764488i | 0.0103084 | + | 0.0103084i | ||||
\(56\) | −8.69047 | + | 7.60088i | −1.16131 | + | 1.01571i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −7.78658 | + | 9.69305i | −1.02243 | + | 1.27276i | ||||
\(59\) | 2.21597 | − | 5.34983i | 0.288495 | − | 0.696489i | −0.711486 | − | 0.702701i | \(-0.751977\pi\) |
0.999981 | + | 0.00621183i | \(0.00197730\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −10.0747 | + | 4.17309i | −1.28994 | + | 0.534310i | −0.918967 | − | 0.394335i | \(-0.870975\pi\) |
−0.370971 | + | 0.928644i | \(0.620975\pi\) | |||||||
\(62\) | −1.72439 | + | 0.945039i | −0.218998 | + | 0.120020i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 7.92875 | + | 1.06534i | 0.991093 | + | 0.133168i | ||||
\(65\) | 0.847523i | 0.105122i | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −1.78793 | − | 4.31644i | −0.218430 | − | 0.527337i | 0.776241 | − | 0.630436i | \(-0.217124\pi\) |
−0.994671 | + | 0.103099i | \(0.967124\pi\) | |||||||
\(68\) | −3.12120 | + | 4.88972i | −0.378502 | + | 0.592966i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −1.46635 | − | 1.17794i | −0.175262 | − | 0.140791i | ||||
\(71\) | −5.32926 | − | 5.32926i | −0.632467 | − | 0.632467i | 0.316219 | − | 0.948686i | \(-0.397587\pi\) |
−0.948686 | + | 0.316219i | \(0.897587\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −7.40343 | + | 7.40343i | −0.866506 | + | 0.866506i | −0.992084 | − | 0.125577i | \(-0.959922\pi\) |
0.125577 | + | 0.992084i | \(0.459922\pi\) | |||||||
\(74\) | −14.2133 | + | 1.55022i | −1.65226 | + | 0.180209i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.0364575 | − | 0.205692i | 0.00418196 | − | 0.0235945i | ||||
\(77\) | 1.25137 | − | 0.518336i | 0.142607 | − | 0.0590699i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 10.5699 | 1.18920 | 0.594601 | − | 0.804021i | \(-0.297310\pi\) | ||||
0.594601 | + | 0.804021i | \(0.297310\pi\) | |||||||
\(80\) | 0.0545352 | + | 1.30215i | 0.00609722 | + | 0.145584i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 3.00092 | − | 10.2787i | 0.331397 | − | 1.13509i | ||||
\(83\) | 1.44628 | + | 3.49162i | 0.158749 | + | 0.383255i | 0.983162 | − | 0.182734i | \(-0.0584946\pi\) |
−0.824413 | + | 0.565989i | \(0.808495\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.873105 | − | 0.361652i | −0.0947015 | − | 0.0392266i | ||||
\(86\) | 9.99473 | − | 1.09011i | 1.07776 | − | 0.117549i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −0.841193 | − | 0.416225i | −0.0896715 | − | 0.0443697i | ||||
\(89\) | −0.0668014 | + | 0.0668014i | −0.00708093 | + | 0.00708093i | −0.710638 | − | 0.703557i | \(-0.751594\pi\) |
0.703557 | + | 0.710638i | \(0.251594\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 9.80964 | + | 4.06328i | 1.02833 | + | 0.425948i | ||||
\(92\) | 1.81773 | + | 8.23387i | 0.189512 | + | 0.858440i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −8.10926 | + | 4.44421i | −0.836406 | + | 0.458385i | ||||
\(95\) | 0.0340318 | 0.00349158 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 11.0779 | 1.12479 | 0.562394 | − | 0.826869i | \(-0.309880\pi\) | ||||
0.562394 | + | 0.826869i | \(0.309880\pi\) | |||||||
\(98\) | −11.9829 | + | 6.56712i | −1.21045 | + | 0.663379i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 9.55755 | − | 2.10995i | 0.955755 | − | 0.210995i | ||||
\(101\) | −11.3729 | − | 4.71082i | −1.13165 | − | 0.468744i | −0.263308 | − | 0.964712i | \(-0.584813\pi\) |
−0.868341 | + | 0.495968i | \(0.834813\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −7.36675 | + | 7.36675i | −0.725867 | + | 0.725867i | −0.969794 | − | 0.243926i | \(-0.921564\pi\) |
0.243926 | + | 0.969794i | \(0.421564\pi\) | |||||||
\(104\) | −2.35563 | − | 6.96996i | −0.230988 | − | 0.683461i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −13.9794 | + | 1.52471i | −1.35780 | + | 0.148093i | ||||
\(107\) | 2.07938 | + | 0.861309i | 0.201022 | + | 0.0832659i | 0.480923 | − | 0.876763i | \(-0.340302\pi\) |
−0.279901 | + | 0.960029i | \(0.590302\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −1.67700 | − | 4.04863i | −0.160627 | − | 0.387789i | 0.822991 | − | 0.568055i | \(-0.192304\pi\) |
−0.983618 | + | 0.180267i | \(0.942304\pi\) | |||||||
\(110\) | 0.0428504 | − | 0.146770i | 0.00408563 | − | 0.0139940i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 15.3331 | + | 5.61167i | 1.44884 | + | 0.530253i | ||||
\(113\) | −5.93698 | −0.558504 | −0.279252 | − | 0.960218i | \(-0.590087\pi\) | ||||
−0.279252 | + | 0.960218i | \(0.590087\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −1.26912 | + | 0.525687i | −0.118346 | + | 0.0490205i | ||||
\(116\) | 17.3134 | + | 3.06869i | 1.60751 | + | 0.284921i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −8.14089 | + | 0.887913i | −0.749430 | + | 0.0817391i | ||||
\(119\) | −8.37186 | + | 8.37186i | −0.767447 | + | 0.767447i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −7.70032 | − | 7.70032i | −0.700029 | − | 0.700029i | ||||
\(122\) | 12.0229 | + | 9.65817i | 1.08850 | + | 0.874410i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 2.34404 | + | 1.49625i | 0.210501 | + | 0.134367i | ||||
\(125\) | 1.23363 | + | 2.97825i | 0.110339 | + | 0.266382i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 4.84569i | 0.429985i | 0.976616 | + | 0.214993i | \(0.0689728\pi\) | ||||
−0.976616 | + | 0.214993i | \(0.931027\pi\) | |||||||
\(128\) | −4.06771 | − | 10.5572i | −0.359538 | − | 0.933130i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 1.05108 | − | 0.576036i | 0.0921859 | − | 0.0505217i | ||||
\(131\) | 5.55720 | − | 2.30187i | 0.485535 | − | 0.201115i | −0.126468 | − | 0.991971i | \(-0.540364\pi\) |
0.612003 | + | 0.790856i | \(0.290364\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.163159 | − | 0.393900i | 0.0141477 | − | 0.0341555i | ||||
\(134\) | −4.13796 | + | 5.15111i | −0.357466 | + | 0.444988i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 8.18553 | + | 0.547463i | 0.701903 | + | 0.0469446i | ||||
\(137\) | −10.5600 | − | 10.5600i | −0.902206 | − | 0.902206i | 0.0934210 | − | 0.995627i | \(-0.470220\pi\) |
−0.995627 | + | 0.0934210i | \(0.970220\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 1.22926 | − | 2.96770i | 0.104265 | − | 0.251717i | −0.863134 | − | 0.504974i | \(-0.831502\pi\) |
0.967399 | + | 0.253257i | \(0.0815019\pi\) | |||||||
\(140\) | −0.464226 | + | 2.61915i | −0.0392342 | + | 0.221358i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −2.98711 | + | 10.2314i | −0.250673 | + | 0.858599i | ||||
\(143\) | 0.863131i | 0.0721787i | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 2.86451i | 0.237885i | ||||||||
\(146\) | 14.2135 | + | 4.14970i | 1.17632 | + | 0.343432i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 11.5829 | + | 16.5734i | 0.952108 | + | 1.36233i | ||||
\(149\) | 4.28158 | − | 10.3366i | 0.350760 | − | 0.846811i | −0.645766 | − | 0.763535i | \(-0.723462\pi\) |
0.996527 | − | 0.0832753i | \(-0.0265381\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 3.62243 | + | 3.62243i | 0.294790 | + | 0.294790i | 0.838969 | − | 0.544179i | \(-0.183159\pi\) |
−0.544179 | + | 0.838969i | \(0.683159\pi\) | |||||||
\(152\) | −0.279874 | + | 0.0945888i | −0.0227008 | + | 0.00767217i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −1.49335 | − | 1.19963i | −0.120338 | − | 0.0966692i | ||||
\(155\) | −0.173369 | + | 0.418550i | −0.0139253 | + | 0.0336187i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1.24201 | − | 0.514459i | 0.0991236 | − | 0.0410583i | −0.332571 | − | 0.943078i | \(-0.607916\pi\) |
0.431694 | + | 0.902020i | \(0.357916\pi\) | |||||||
\(158\) | −7.18401 | − | 13.1085i | −0.571529 | − | 1.04286i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 1.57783 | − | 0.952663i | 0.124738 | − | 0.0753146i | ||||
\(161\) | 17.2097i | 1.35631i | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 8.59056 | + | 20.7395i | 0.672865 | + | 1.62444i | 0.776719 | + | 0.629847i | \(0.216882\pi\) |
−0.103855 | + | 0.994592i | \(0.533118\pi\) | |||||||
\(164\) | −14.7871 | + | 3.26444i | −1.15468 | + | 0.254910i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 3.34725 | − | 4.16679i | 0.259797 | − | 0.323406i | ||||
\(167\) | −10.4975 | − | 10.4975i | −0.812321 | − | 0.812321i | 0.172660 | − | 0.984981i | \(-0.444764\pi\) |
−0.984981 | + | 0.172660i | \(0.944764\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 4.40799 | − | 4.40799i | 0.339076 | − | 0.339076i | ||||
\(170\) | 0.144909 | + | 1.32861i | 0.0111140 | + | 0.101900i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −8.14505 | − | 11.6544i | −0.621054 | − | 0.888636i | ||||
\(173\) | 14.7920 | − | 6.12707i | 1.12462 | − | 0.465832i | 0.258670 | − | 0.965966i | \(-0.416716\pi\) |
0.865948 | + | 0.500134i | \(0.166716\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 19.9763 | 1.51007 | ||||||||
\(176\) | 0.0555395 | + | 1.32613i | 0.00418645 | + | 0.0999606i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0.128249 | + | 0.0374429i | 0.00961265 | + | 0.00280646i | ||||
\(179\) | −2.96963 | − | 7.16932i | −0.221960 | − | 0.535860i | 0.773196 | − | 0.634168i | \(-0.218657\pi\) |
−0.995156 | + | 0.0983076i | \(0.968657\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 8.97114 | + | 3.71597i | 0.666820 | + | 0.276206i | 0.690305 | − | 0.723518i | \(-0.257476\pi\) |
−0.0234853 | + | 0.999724i | \(0.507476\pi\) | |||||||
\(182\) | −1.62811 | − | 14.9274i | −0.120683 | − | 1.10649i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 8.97603 | − | 7.85063i | 0.661721 | − | 0.578756i | ||||
\(185\) | −2.32923 | + | 2.32923i | −0.171249 | + | 0.171249i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.889184 | − | 0.368312i | −0.0650236 | − | 0.0269337i | ||||
\(188\) | 11.0232 | + | 7.03636i | 0.803953 | + | 0.513179i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −0.0231304 | − | 0.0422055i | −0.00167805 | − | 0.00306191i | ||||
\(191\) | −19.5485 | −1.41448 | −0.707241 | − | 0.706973i | \(-0.750060\pi\) | ||||
−0.707241 | + | 0.706973i | \(0.750060\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −1.83378 | −0.131999 | −0.0659993 | − | 0.997820i | \(-0.521023\pi\) | ||||
−0.0659993 | + | 0.997820i | \(0.521023\pi\) | |||||||
\(194\) | −7.52931 | − | 13.7386i | −0.540573 | − | 0.986373i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 16.2888 | + | 10.3975i | 1.16349 | + | 0.742677i | ||||
\(197\) | 15.8841 | + | 6.57941i | 1.13169 | + | 0.468763i | 0.868357 | − | 0.495940i | \(-0.165176\pi\) |
0.263338 | + | 0.964704i | \(0.415176\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −18.9880 | + | 18.9880i | −1.34602 | + | 1.34602i | −0.456090 | + | 0.889933i | \(0.650751\pi\) |
−0.889933 | + | 0.456090i | \(0.849249\pi\) | |||||||
\(200\) | −9.11270 | − | 10.4190i | −0.644365 | − | 0.736736i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 1.88757 | + | 17.3063i | 0.132809 | + | 1.21767i | ||||
\(203\) | 33.1552 | + | 13.7333i | 2.32704 | + | 0.963892i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.944074 | − | 2.27920i | −0.0659370 | − | 0.159186i | ||||
\(206\) | 14.1431 | + | 4.12914i | 0.985394 | + | 0.287691i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −7.04296 | + | 7.65868i | −0.488341 | + | 0.531034i | ||||
\(209\) | 0.0346585 | 0.00239738 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 1.78496 | − | 0.739357i | 0.122882 | − | 0.0508994i | −0.320395 | − | 0.947284i | \(-0.603816\pi\) |
0.443277 | + | 0.896385i | \(0.353816\pi\) | |||||||
\(212\) | 11.3923 | + | 16.3006i | 0.782424 | + | 1.11953i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −0.345116 | − | 3.16422i | −0.0235917 | − | 0.216302i | ||||
\(215\) | 1.63791 | − | 1.63791i | 0.111704 | − | 0.111704i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 4.01331 | + | 4.01331i | 0.272441 | + | 0.272441i | ||||
\(218\) | −3.88123 | + | 4.83151i | −0.262870 | + | 0.327231i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.211146 | + | 0.0466132i | −0.0142355 | + | 0.00314266i | ||||
\(221\) | −2.88723 | − | 6.97039i | −0.194216 | − | 0.468879i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | − | 1.57603i | − | 0.105539i | −0.998607 | − | 0.0527695i | \(-0.983195\pi\) | ||
0.998607 | − | 0.0527695i | \(-0.0168049\pi\) | |||||||
\(224\) | −3.46198 | − | 22.8299i | −0.231313 | − | 1.52539i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 4.03519 | + | 7.36293i | 0.268417 | + | 0.489775i | ||||
\(227\) | 26.2328 | − | 10.8660i | 1.74113 | − | 0.721200i | 0.742448 | − | 0.669903i | \(-0.233664\pi\) |
0.998683 | − | 0.0512971i | \(-0.0163355\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 8.17957 | − | 19.7472i | 0.540521 | − | 1.30493i | −0.383834 | − | 0.923402i | \(-0.625397\pi\) |
0.924356 | − | 0.381532i | \(-0.124603\pi\) | |||||||
\(230\) | 1.51453 | + | 1.21664i | 0.0998651 | + | 0.0802232i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −7.96170 | − | 23.5575i | −0.522711 | − | 1.54663i | ||||
\(233\) | 13.8738 | + | 13.8738i | 0.908905 | + | 0.908905i | 0.996184 | − | 0.0872792i | \(-0.0278172\pi\) |
−0.0872792 | + | 0.996184i | \(0.527817\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.815297 | + | 1.96830i | −0.0531841 | + | 0.128398i | ||||
\(236\) | 6.63429 | + | 9.49269i | 0.431856 | + | 0.617921i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 16.0727 | + | 4.69252i | 1.04184 | + | 0.304171i | ||||
\(239\) | 18.4907i | 1.19606i | 0.801473 | + | 0.598031i | \(0.204050\pi\) | ||||
−0.801473 | + | 0.598031i | \(0.795950\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | − | 28.7590i | − | 1.85253i | −0.376877 | − | 0.926263i | \(-0.623002\pi\) | ||
0.376877 | − | 0.926263i | \(-0.376998\pi\) | |||||||
\(242\) | −4.31611 | + | 14.7835i | −0.277450 | + | 0.950317i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 3.80628 | − | 21.4749i | 0.243672 | − | 1.37479i | ||||
\(245\) | −1.20475 | + | 2.90852i | −0.0769686 | + | 0.185819i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.192115 | + | 0.192115i | 0.0122240 | + | 0.0122240i | ||||
\(248\) | 0.262443 | − | 3.92398i | 0.0166652 | − | 0.249173i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 2.85510 | − | 3.55415i | 0.180572 | − | 0.224784i | ||||
\(251\) | 9.30181 | − | 22.4565i | 0.587125 | − | 1.41744i | −0.299115 | − | 0.954217i | \(-0.596691\pi\) |
0.886239 | − | 0.463228i | \(-0.153309\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −1.29249 | + | 0.535368i | −0.0812583 | + | 0.0336583i | ||||
\(254\) | 6.00953 | − | 3.29347i | 0.377072 | − | 0.206651i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −10.3281 | + | 12.2201i | −0.645506 | + | 0.763756i | ||||
\(257\) | − | 12.6918i | − | 0.791690i | −0.918317 | − | 0.395845i | \(-0.870452\pi\) | ||
0.918317 | − | 0.395845i | \(-0.129548\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 15.7926 | + | 38.1267i | 0.981304 | + | 2.36908i | ||||
\(260\) | −1.42878 | − | 0.912017i | −0.0886090 | − | 0.0565609i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −6.63179 | − | 5.32742i | −0.409713 | − | 0.329129i | ||||
\(263\) | 16.7849 | + | 16.7849i | 1.03500 | + | 1.03500i | 0.999365 | + | 0.0356341i | \(0.0113451\pi\) |
0.0356341 | + | 0.999365i | \(0.488655\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −2.29090 | + | 2.29090i | −0.140729 | + | 0.140729i | ||||
\(266\) | −0.599401 | + | 0.0653757i | −0.0367516 | + | 0.00400844i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 9.20076 | + | 1.63077i | 0.562026 | + | 0.0996152i | ||||
\(269\) | −8.46162 | + | 3.50492i | −0.515914 | + | 0.213699i | −0.625421 | − | 0.780287i | \(-0.715073\pi\) |
0.109507 | + | 0.993986i | \(0.465073\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 8.72354 | 0.529917 | 0.264959 | − | 0.964260i | \(-0.414642\pi\) | ||||
0.264959 | + | 0.964260i | \(0.414642\pi\) | |||||||
\(272\) | −4.88450 | − | 10.5236i | −0.296167 | − | 0.638089i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −5.91902 | + | 20.2737i | −0.357581 | + | 1.22478i | ||||
\(275\) | 0.621434 | + | 1.50027i | 0.0374739 | + | 0.0904700i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 3.00564 | + | 1.24498i | 0.180591 | + | 0.0748033i | 0.471147 | − | 0.882055i | \(-0.343840\pi\) |
−0.290556 | + | 0.956858i | \(0.593840\pi\) | |||||||
\(278\) | −4.51598 | + | 0.492550i | −0.270850 | + | 0.0295412i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 3.56374 | − | 1.20443i | 0.212974 | − | 0.0719786i | ||||
\(281\) | −12.0974 | + | 12.0974i | −0.721672 | + | 0.721672i | −0.968946 | − | 0.247274i | \(-0.920465\pi\) |
0.247274 | + | 0.968946i | \(0.420465\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −24.2421 | − | 10.0414i | −1.44104 | − | 0.596899i | −0.480991 | − | 0.876726i | \(-0.659723\pi\) |
−0.960050 | + | 0.279827i | \(0.909723\pi\) | |||||||
\(284\) | 14.7190 | − | 3.24941i | 0.873413 | − | 0.192817i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 1.07044 | − | 0.586644i | 0.0632964 | − | 0.0346890i | ||||
\(287\) | −30.9067 | −1.82436 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −8.58718 | −0.505128 | ||||||||
\(290\) | 3.55251 | − | 1.94692i | 0.208611 | − | 0.114327i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −4.51410 | − | 20.4477i | −0.264168 | − | 1.19661i | ||||
\(293\) | −8.80251 | − | 3.64612i | −0.514248 | − | 0.213009i | 0.110440 | − | 0.993883i | \(-0.464774\pi\) |
−0.624688 | + | 0.780874i | \(0.714774\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −1.33411 | + | 1.33411i | −0.0776746 | + | 0.0776746i | ||||
\(296\) | 12.6815 | − | 25.6293i | 0.737096 | − | 1.48968i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −15.7294 | + | 1.71558i | −0.911178 | + | 0.0993806i | ||||
\(299\) | −10.1320 | − | 4.19680i | −0.585946 | − | 0.242707i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −11.1053 | − | 26.8105i | −0.640098 | − | 1.54533i | ||||
\(302\) | 2.03041 | − | 6.95453i | 0.116837 | − | 0.400189i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0.307529 | + | 0.282806i | 0.0176380 | + | 0.0162200i | ||||
\(305\) | 3.55303 | 0.203446 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 0.738838 | − | 0.306037i | 0.0421677 | − | 0.0174664i | −0.361500 | − | 0.932372i | \(-0.617735\pi\) |
0.403668 | + | 0.914906i | \(0.367735\pi\) | |||||||
\(308\) | −0.472775 | + | 2.66738i | −0.0269389 | + | 0.151988i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0.636911 | − | 0.0694668i | 0.0361741 | − | 0.00394545i | ||||
\(311\) | −24.6217 | + | 24.6217i | −1.39617 | + | 1.39617i | −0.585492 | + | 0.810678i | \(0.699099\pi\) |
−0.810678 | + | 0.585492i | \(0.800901\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 18.3739 | + | 18.3739i | 1.03855 | + | 1.03855i | 0.999226 | + | 0.0393257i | \(0.0125210\pi\) |
0.0393257 | + | 0.999226i | \(0.487479\pi\) | |||||||
\(314\) | −1.48218 | − | 1.19066i | −0.0836444 | − | 0.0671929i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −11.3742 | + | 17.8189i | −0.639848 | + | 1.00239i | ||||
\(317\) | −7.40788 | − | 17.8842i | −0.416068 | − | 1.00448i | −0.983476 | − | 0.181040i | \(-0.942054\pi\) |
0.567408 | − | 0.823437i | \(-0.307946\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 2.91727i | 0.163335i | ||||||||
\(320\) | −2.25388 | − | 1.30930i | −0.125996 | − | 0.0731920i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 21.3431 | − | 11.6969i | 1.18941 | − | 0.651844i | ||||
\(323\) | −0.279892 | + | 0.115935i | −0.0155736 | + | 0.00645080i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −4.87148 | + | 11.7608i | −0.270221 | + | 0.652371i | ||||
\(326\) | 19.8819 | − | 24.7498i | 1.10116 | − | 1.37077i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 14.0988 | + | 16.1199i | 0.778478 | + | 0.890074i | ||||
\(329\) | 18.8733 | + | 18.8733i | 1.04052 | + | 1.04052i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 4.03686 | − | 9.74585i | 0.221886 | − | 0.535680i | −0.773260 | − | 0.634089i | \(-0.781375\pi\) |
0.995146 | + | 0.0984087i | \(0.0313752\pi\) | |||||||
\(332\) | −7.44260 | − | 1.31915i | −0.408466 | − | 0.0723978i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −5.88396 | + | 20.1536i | −0.321956 | + | 1.10276i | ||||
\(335\) | 1.52227i | 0.0831703i | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | − | 19.9805i | − | 1.08841i | −0.838953 | − | 0.544204i | \(-0.816832\pi\) | ||
0.838953 | − | 0.544204i | \(-0.183168\pi\) | |||||||
\(338\) | −8.46268 | − | 2.47073i | −0.460309 | − | 0.134390i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 1.54923 | − | 1.08273i | 0.0840187 | − | 0.0587194i | ||||
\(341\) | −0.176562 | + | 0.426258i | −0.00956136 | + | 0.0230832i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 7.68412 | + | 7.68412i | 0.414903 | + | 0.414903i | ||||
\(344\) | −8.91756 | + | 18.0225i | −0.480803 | + | 0.971705i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −17.6524 | − | 14.1804i | −0.948998 | − | 0.762345i | ||||
\(347\) | −10.6139 | + | 25.6243i | −0.569785 | + | 1.37558i | 0.331951 | + | 0.943297i | \(0.392293\pi\) |
−0.901736 | + | 0.432287i | \(0.857707\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −17.3284 | + | 7.17766i | −0.927569 | + | 0.384211i | −0.794756 | − | 0.606930i | \(-0.792401\pi\) |
−0.132813 | + | 0.991141i | \(0.542401\pi\) | |||||||
\(350\) | −13.5773 | − | 24.7743i | −0.725739 | − | 1.32424i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 1.60689 | − | 0.970208i | 0.0856475 | − | 0.0517123i | ||||
\(353\) | 34.0504i | 1.81232i | 0.422937 | + | 0.906159i | \(0.360999\pi\) | ||||
−0.422937 | + | 0.906159i | \(0.639001\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0.939728 | + | 2.26870i | 0.0498756 | + | 0.120410i | ||||
\(356\) | −0.0407308 | − | 0.184500i | −0.00215873 | − | 0.00977850i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −6.87288 | + | 8.55565i | −0.363243 | + | 0.452180i | ||||
\(359\) | −23.2905 | − | 23.2905i | −1.22922 | − | 1.22922i | −0.964258 | − | 0.264966i | \(-0.914639\pi\) |
−0.264966 | − | 0.964258i | \(-0.585361\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −13.4273 | + | 13.4273i | −0.706701 | + | 0.706701i | ||||
\(362\) | −1.48894 | − | 13.6515i | −0.0782571 | − | 0.717506i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −17.4061 | + | 12.1649i | −0.912328 | + | 0.637612i | ||||
\(365\) | 3.15169 | − | 1.30547i | 0.164967 | − | 0.0683316i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −9.59454 | −0.500831 | −0.250415 | − | 0.968138i | \(-0.580567\pi\) | ||||
−0.250415 | + | 0.968138i | \(0.580567\pi\) | |||||||
\(368\) | −15.8369 | − | 5.79606i | −0.825557 | − | 0.302140i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 4.47178 | + | 1.30556i | 0.232477 | + | 0.0678728i | ||||
\(371\) | 15.5327 | + | 37.4992i | 0.806417 | + | 1.94686i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 24.2181 | + | 10.0315i | 1.25396 | + | 0.519409i | 0.908052 | − | 0.418857i | \(-0.137569\pi\) |
0.345913 | + | 0.938267i | \(0.387569\pi\) | |||||||
\(374\) | 0.147578 | + | 1.35308i | 0.00763109 | + | 0.0699661i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 1.23418 | − | 18.4532i | 0.0636482 | − | 0.951652i | ||||
\(377\) | −16.1706 | + | 16.1706i | −0.832829 | + | 0.832829i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −30.3209 | − | 12.5593i | −1.55748 | − | 0.645129i | −0.572830 | − | 0.819674i | \(-0.694154\pi\) |
−0.984649 | + | 0.174546i | \(0.944154\pi\) | |||||||
\(380\) | −0.0366215 | + | 0.0573717i | −0.00187864 | + | 0.00294310i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 13.2865 | + | 24.2437i | 0.679799 | + | 1.24042i | ||||
\(383\) | 11.7496 | 0.600376 | 0.300188 | − | 0.953880i | \(-0.402951\pi\) | ||||
0.300188 | + | 0.953880i | \(0.402951\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −0.441319 | −0.0224917 | ||||||||
\(386\) | 1.24637 | + | 2.27422i | 0.0634384 | + | 0.115755i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −11.9209 | + | 18.6754i | −0.605191 | + | 0.948100i | ||||
\(389\) | −7.60142 | − | 3.14861i | −0.385407 | − | 0.159641i | 0.181563 | − | 0.983379i | \(-0.441884\pi\) |
−0.566970 | + | 0.823739i | \(0.691884\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 8.64695 | − | 8.64695i | 0.437295 | − | 0.437295i | ||||
\(392\) | 1.82373 | − | 27.2679i | 0.0921123 | − | 1.37724i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −2.63629 | − | 24.1710i | −0.132814 | − | 1.21772i | ||||
\(395\) | −3.18174 | − | 1.31792i | −0.160091 | − | 0.0663117i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −2.71277 | − | 6.54921i | −0.136150 | − | 0.328695i | 0.841069 | − | 0.540928i | \(-0.181927\pi\) |
−0.977219 | + | 0.212232i | \(0.931927\pi\) | |||||||
\(398\) | 36.4541 | + | 10.6430i | 1.82728 | + | 0.533484i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −6.72784 | + | 18.3829i | −0.336392 | + | 0.919145i | ||||
\(401\) | −28.2972 | −1.41309 | −0.706547 | − | 0.707666i | \(-0.749748\pi\) | ||||
−0.706547 | + | 0.707666i | \(0.749748\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −3.34147 | + | 1.38408i | −0.166451 | + | 0.0689461i | ||||
\(404\) | 20.1800 | − | 14.1035i | 1.00399 | − | 0.701675i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −5.50278 | − | 50.4526i | −0.273099 | − | 2.50392i | ||||
\(407\) | −2.37213 | + | 2.37213i | −0.117582 | + | 0.117582i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 4.84555 | + | 4.84555i | 0.239597 | + | 0.239597i | 0.816683 | − | 0.577086i | \(-0.195810\pi\) |
−0.577086 | + | 0.816683i | \(0.695810\pi\) | |||||||
\(410\) | −2.18496 | + | 2.71992i | −0.107907 | + | 0.134327i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −4.49173 | − | 20.3464i | −0.221292 | − | 1.00240i | ||||
\(413\) | 9.04546 | + | 21.8377i | 0.445098 | + | 1.07456i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | − | 1.23138i | − | 0.0604460i | ||||||
\(416\) | 14.2850 | + | 3.52917i | 0.700381 | + | 0.173032i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −0.0235563 | − | 0.0429828i | −0.00115218 | − | 0.00210236i | ||||
\(419\) | −16.2763 | + | 6.74184i | −0.795147 | + | 0.329361i | −0.743011 | − | 0.669279i | \(-0.766603\pi\) |
−0.0521361 | + | 0.998640i | \(0.516603\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −14.8160 | + | 35.7691i | −0.722089 | + | 1.74328i | −0.0547779 | + | 0.998499i | \(0.517445\pi\) |
−0.667311 | + | 0.744779i | \(0.732555\pi\) | |||||||
\(422\) | −2.13012 | − | 1.71116i | −0.103693 | − | 0.0832980i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 12.4728 | − | 25.2075i | 0.605731 | − | 1.22419i | ||||
\(425\) | −10.0370 | − | 10.0370i | −0.486868 | − | 0.486868i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 17.0343 | − | 41.1244i | 0.824348 | − | 1.99015i | ||||
\(428\) | −3.68964 | + | 2.57863i | −0.178345 | + | 0.124643i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −3.14454 | − | 0.918064i | −0.151643 | − | 0.0442730i | ||||
\(431\) | − | 12.2419i | − | 0.589672i | −0.955548 | − | 0.294836i | \(-0.904735\pi\) | ||
0.955548 | − | 0.294836i | \(-0.0952651\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 20.0782i | − | 0.964896i | −0.875925 | − | 0.482448i | \(-0.839748\pi\) | ||
0.875925 | − | 0.482448i | \(-0.160252\pi\) | |||||||
\(434\) | 2.24950 | − | 7.70496i | 0.107980 | − | 0.369850i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 8.62991 | + | 1.52959i | 0.413298 | + | 0.0732541i | ||||
\(437\) | −0.168520 | + | 0.406843i | −0.00806139 | + | 0.0194619i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −26.7583 | − | 26.7583i | −1.27710 | − | 1.27710i | −0.942282 | − | 0.334820i | \(-0.891324\pi\) |
−0.334820 | − | 0.942282i | \(-0.608676\pi\) | |||||||
\(440\) | 0.201318 | + | 0.230178i | 0.00959748 | + | 0.0109733i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −6.68218 | + | 8.31826i | −0.317839 | + | 0.395659i | ||||
\(443\) | −1.21737 | + | 2.93900i | −0.0578391 | + | 0.139636i | −0.950157 | − | 0.311771i | \(-0.899078\pi\) |
0.892318 | + | 0.451407i | \(0.149078\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0.0284378 | − | 0.0117793i | 0.00134808 | − | 0.000558393i | ||||
\(446\) | −1.95457 | + | 1.07118i | −0.0925514 | + | 0.0507220i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −25.9602 | + | 19.8103i | −1.22651 | + | 0.935948i | ||||
\(449\) | 29.7396i | 1.40350i | 0.712424 | + | 0.701750i | \(0.247597\pi\) | ||||
−0.712424 | + | 0.701750i | \(0.752403\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −0.961460 | − | 2.32117i | −0.0452734 | − | 0.109300i | ||||
\(452\) | 6.38877 | − | 10.0087i | 0.300503 | − | 0.470771i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −31.3054 | − | 25.1481i | −1.46924 | − | 1.18026i | ||||
\(455\) | −2.44626 | − | 2.44626i | −0.114682 | − | 0.114682i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −1.55229 | + | 1.55229i | −0.0726130 | + | 0.0726130i | −0.742481 | − | 0.669868i | \(-0.766351\pi\) |
0.669868 | + | 0.742481i | \(0.266351\pi\) | |||||||
\(458\) | −30.0496 | + | 3.27745i | −1.40412 | + | 0.153145i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0.479479 | − | 2.70521i | 0.0223558 | − | 0.126131i | ||||
\(461\) | −8.06146 | + | 3.33917i | −0.375460 | + | 0.155520i | −0.562430 | − | 0.826845i | \(-0.690133\pi\) |
0.186970 | + | 0.982366i | \(0.440133\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −8.81853 | −0.409832 | −0.204916 | − | 0.978780i | \(-0.565692\pi\) | ||||
−0.204916 | + | 0.978780i | \(0.565692\pi\) | |||||||
\(464\) | −23.8042 | + | 25.8853i | −1.10508 | + | 1.20169i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 7.77643 | − | 26.6357i | 0.360236 | − | 1.23387i | ||||
\(467\) | 2.43456 | + | 5.87754i | 0.112658 | + | 0.271980i | 0.970145 | − | 0.242525i | \(-0.0779757\pi\) |
−0.857487 | + | 0.514505i | \(0.827976\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 17.6194 | + | 7.29821i | 0.813590 | + | 0.337000i | ||||
\(470\) | 2.99518 | − | 0.326680i | 0.138158 | − | 0.0150686i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 7.26352 | − | 14.6796i | 0.334331 | − | 0.675684i | ||||
\(473\) | 1.66807 | − | 1.66807i | 0.0766980 | − | 0.0766980i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0.472247 | + | 0.195611i | 0.0216682 | + | 0.00897525i | ||||
\(476\) | −5.10458 | − | 23.1225i | −0.233968 | − | 1.05982i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 22.9318 | − | 12.5676i | 1.04888 | − | 0.574827i | ||||
\(479\) | 21.6996 | 0.991479 | 0.495740 | − | 0.868471i | \(-0.334897\pi\) | ||||
0.495740 | + | 0.868471i | \(0.334897\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −26.2978 | −1.19907 | ||||||||
\(482\) | −35.6663 | + | 19.5466i | −1.62456 | + | 0.890323i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 21.2677 | − | 4.69512i | 0.966714 | − | 0.213414i | ||||
\(485\) | −3.33467 | − | 1.38126i | −0.151419 | − | 0.0627200i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 6.59131 | − | 6.59131i | 0.298681 | − | 0.298681i | −0.541816 | − | 0.840497i | \(-0.682263\pi\) |
0.840497 | + | 0.541816i | \(0.182263\pi\) | |||||||
\(488\) | −29.2198 | + | 9.87538i | −1.32272 | + | 0.447038i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 4.42592 | − | 0.482728i | 0.199943 | − | 0.0218074i | ||||
\(491\) | −0.670824 | − | 0.277864i | −0.0302738 | − | 0.0125398i | 0.367495 | − | 0.930025i | \(-0.380215\pi\) |
−0.397769 | + | 0.917486i | \(0.630215\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −9.75845 | − | 23.5590i | −0.439498 | − | 1.06104i | ||||
\(494\) | 0.107682 | − | 0.368831i | 0.00484486 | − | 0.0165945i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −5.04482 | + | 2.34154i | −0.226519 | + | 0.105138i | ||||
\(497\) | 30.7644 | 1.37997 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 4.20688 | − | 1.74255i | 0.188326 | − | 0.0780071i | −0.286528 | − | 0.958072i | \(-0.592501\pi\) |
0.474853 | + | 0.880065i | \(0.342501\pi\) | |||||||
\(500\) | −6.34831 | − | 1.12519i | −0.283905 | − | 0.0503202i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −34.1723 | + | 3.72712i | −1.52519 | + | 0.166350i | ||||
\(503\) | 2.07129 | − | 2.07129i | 0.0923543 | − | 0.0923543i | −0.659420 | − | 0.751775i | \(-0.729198\pi\) |
0.751775 | + | 0.659420i | \(0.229198\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 2.83610 | + | 2.83610i | 0.126205 | + | 0.126205i | ||||
\(506\) | 1.54242 | + | 1.23905i | 0.0685690 | + | 0.0550825i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −8.16900 | − | 5.21443i | −0.362441 | − | 0.231353i | ||||
\(509\) | −15.0868 | − | 36.4228i | −0.668711 | − | 1.61441i | −0.783770 | − | 0.621052i | \(-0.786706\pi\) |
0.115059 | − | 0.993359i | \(-0.463294\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | − | 42.7380i | − | 1.89062i | ||||||
\(512\) | 22.1748 | + | 4.50307i | 0.979998 | + | 0.199009i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −15.7401 | + | 8.62621i | −0.694265 | + | 0.380486i | ||||
\(515\) | 3.13607 | − | 1.29900i | 0.138192 | − | 0.0572410i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −0.830312 | + | 2.00455i | −0.0365171 | + | 0.0881601i | ||||
\(518\) | 36.5502 | − | 45.4992i | 1.60593 | − | 1.99912i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −0.159969 | + | 2.39181i | −0.00701510 | + | 0.104888i | ||||
\(521\) | 13.6804 | + | 13.6804i | 0.599349 | + | 0.599349i | 0.940139 | − | 0.340790i | \(-0.110695\pi\) |
−0.340790 | + | 0.940139i | \(0.610695\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 11.3301 | − | 27.3532i | 0.495429 | − | 1.19607i | −0.456491 | − | 0.889728i | \(-0.650894\pi\) |
0.951921 | − | 0.306344i | \(-0.0991059\pi\) | |||||||
\(524\) | −2.09953 | + | 11.8455i | −0.0917186 | + | 0.517474i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 9.40810 | − | 32.2244i | 0.410213 | − | 1.40505i | ||||
\(527\) | − | 4.03294i | − | 0.175678i | ||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 5.22482i | 0.227166i | ||||||||
\(530\) | 4.39818 | + | 1.28407i | 0.191045 | + | 0.0557766i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0.488473 | + | 0.698932i | 0.0211780 | + | 0.0303025i | ||||
\(533\) | 7.53697 | − | 18.1959i | 0.326462 | − | 0.788150i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −0.518543 | − | 0.518543i | −0.0224186 | − | 0.0224186i | ||||
\(536\) | −4.23103 | − | 12.5190i | −0.182753 | − | 0.540738i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 10.0978 | + | 8.11175i | 0.435349 | + | 0.349722i | ||||
\(539\) | −1.22694 | + | 2.96209i | −0.0528479 | + | 0.127586i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −2.48775 | + | 1.03046i | −0.106957 | + | 0.0443030i | −0.435520 | − | 0.900179i | \(-0.643436\pi\) |
0.328563 | + | 0.944482i | \(0.393436\pi\) | |||||||
\(542\) | −5.92913 | − | 10.8188i | −0.254678 | − | 0.464706i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −9.73135 | + | 13.2103i | −0.417228 | + | 0.566385i | ||||
\(545\) | 1.42782i | 0.0611610i | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 8.93213 | + | 21.5641i | 0.381910 | + | 0.922013i | 0.991596 | + | 0.129370i | \(0.0412955\pi\) |
−0.609686 | + | 0.792643i | \(0.708705\pi\) | |||||||
\(548\) | 29.1661 | − | 6.43878i | 1.24591 | − | 0.275051i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 1.43824 | − | 1.79038i | 0.0613268 | − | 0.0763422i | ||||
\(551\) | 0.649321 | + | 0.649321i | 0.0276620 | + | 0.0276620i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −30.5085 | + | 30.5085i | −1.29735 | + | 1.29735i | ||||
\(554\) | −0.498846 | − | 4.57370i | −0.0211939 | − | 0.194318i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 3.68023 | + | 5.26586i | 0.156076 | + | 0.223322i | ||||
\(557\) | 0.567779 | − | 0.235182i | 0.0240576 | − | 0.00996498i | −0.370622 | − | 0.928784i | \(-0.620856\pi\) |
0.394680 | + | 0.918819i | \(0.370856\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 18.4925 | 0.782148 | ||||||||
\(560\) | −3.91588 | − | 3.60106i | −0.165476 | − | 0.152173i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 23.2253 | + | 6.78074i | 0.979698 | + | 0.286028i | ||||
\(563\) | −7.80035 | − | 18.8317i | −0.328746 | − | 0.793662i | −0.998686 | − | 0.0512471i | \(-0.983680\pi\) |
0.669940 | − | 0.742415i | \(-0.266320\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 1.78715 | + | 0.740263i | 0.0751860 | + | 0.0311431i | ||||
\(566\) | 4.02346 | + | 36.8894i | 0.169119 | + | 1.55058i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −14.0339 | − | 16.0457i | −0.588851 | − | 0.673264i | ||||
\(569\) | −0.205967 | + | 0.205967i | −0.00863460 | + | 0.00863460i | −0.711411 | − | 0.702776i | \(-0.751943\pi\) |
0.702776 | + | 0.711411i | \(0.251943\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −21.8756 | − | 9.06118i | −0.915466 | − | 0.379198i | −0.125319 | − | 0.992116i | \(-0.539996\pi\) |
−0.790146 | + | 0.612918i | \(0.789996\pi\) | |||||||
\(572\) | −1.45509 | − | 0.928813i | −0.0608404 | − | 0.0388356i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 21.0063 | + | 38.3299i | 0.876788 | + | 1.59986i | ||||
\(575\) | −20.6327 | −0.860444 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 14.5385 | 0.605244 | 0.302622 | − | 0.953111i | \(-0.402138\pi\) | ||||
0.302622 | + | 0.953111i | \(0.402138\pi\) | |||||||
\(578\) | 5.83645 | + | 10.6497i | 0.242764 | + | 0.442967i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −4.82907 | − | 3.08249i | −0.200516 | − | 0.127994i | ||||
\(581\) | −14.2526 | − | 5.90361i | −0.591296 | − | 0.244923i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −2.33309 | + | 2.33309i | −0.0966266 | + | 0.0966266i | ||||
\(584\) | −22.2908 | + | 19.4960i | −0.922399 | + | 0.806751i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 1.46096 | + | 13.3949i | 0.0603515 | + | 0.553337i | ||||
\(587\) | 42.3914 | + | 17.5591i | 1.74968 | + | 0.724741i | 0.997861 | + | 0.0653702i | \(0.0208228\pi\) |
0.751818 | + | 0.659371i | \(0.229177\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0.0555770 | + | 0.134175i | 0.00229001 | + | 0.00552858i | ||||
\(590\) | 2.56128 | + | 0.747780i | 0.105446 | + | 0.0307856i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −40.4042 | + | 1.69217i | −1.66060 | + | 0.0695478i | ||||
\(593\) | 31.8513 | 1.30797 | 0.653987 | − | 0.756506i | \(-0.273095\pi\) | ||||
0.653987 | + | 0.756506i | \(0.273095\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 3.56396 | − | 1.47624i | 0.146108 | − | 0.0605199i | ||||
\(596\) | 12.8184 | + | 18.3412i | 0.525062 | + | 0.751286i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 1.68160 | + | 15.4179i | 0.0687659 | + | 0.630485i | ||||
\(599\) | 15.0667 | − | 15.0667i | 0.615609 | − | 0.615609i | −0.328793 | − | 0.944402i | \(-0.606642\pi\) |
0.944402 | + | 0.328793i | \(0.106642\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 21.3516 | + | 21.3516i | 0.870950 | + | 0.870950i | 0.992576 | − | 0.121626i | \(-0.0388108\pi\) |
−0.121626 | + | 0.992576i | \(0.538811\pi\) | |||||||
\(602\) | −25.7020 | + | 31.9949i | −1.04753 | + | 1.30401i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −10.0049 | + | 2.20871i | −0.407093 | + | 0.0898711i | ||||
\(605\) | 1.35782 | + | 3.27808i | 0.0552034 | + | 0.133273i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | − | 1.93343i | − | 0.0784755i | −0.999230 | − | 0.0392378i | \(-0.987507\pi\) | ||
0.999230 | − | 0.0392378i | \(-0.0124930\pi\) | |||||||
\(608\) | 0.141712 | − | 0.573607i | 0.00574716 | − | 0.0232628i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −2.41489 | − | 4.40640i | −0.0977759 | − | 0.178410i | ||||
\(611\) | −15.7139 | + | 6.50889i | −0.635715 | + | 0.263322i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −8.95706 | + | 21.6243i | −0.361772 | + | 0.873396i | 0.633269 | + | 0.773932i | \(0.281713\pi\) |
−0.995041 | + | 0.0994638i | \(0.968287\pi\) | |||||||
\(614\) | −0.881707 | − | 0.708289i | −0.0355828 | − | 0.0285842i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 3.62937 | − | 1.22661i | 0.146231 | − | 0.0494217i | ||||
\(617\) | 6.41137 | + | 6.41137i | 0.258112 | + | 0.258112i | 0.824286 | − | 0.566174i | \(-0.191577\pi\) |
−0.566174 | + | 0.824286i | \(0.691577\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −7.45413 | + | 17.9959i | −0.299607 | + | 0.723315i | 0.700348 | + | 0.713802i | \(0.253028\pi\) |
−0.999955 | + | 0.00951339i | \(0.996972\pi\) | |||||||
\(620\) | −0.519041 | − | 0.742670i | −0.0208452 | − | 0.0298264i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 47.2700 | + | 13.8007i | 1.89536 | + | 0.553359i | ||||
\(623\) | − | 0.385626i | − | 0.0154498i | ||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 23.4189i | 0.936755i | ||||||||
\(626\) | 10.2987 | − | 35.2751i | 0.411621 | − | 1.40988i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −0.469239 | + | 2.64743i | −0.0187247 | + | 0.105644i | ||||
\(629\) | 11.2217 | − | 27.0915i | 0.447438 | − | 1.08021i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 10.0301 | + | 10.0301i | 0.399292 | + | 0.399292i | 0.877983 | − | 0.478691i | \(-0.158889\pi\) |
−0.478691 | + | 0.877983i | \(0.658889\pi\) | |||||||
\(632\) | 29.8294 | + | 1.99505i | 1.18655 | + | 0.0793586i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −17.1447 | + | 21.3425i | −0.680904 | + | 0.847617i | ||||
\(635\) | 0.604193 | − | 1.45865i | 0.0239767 | − | 0.0578848i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −23.2200 | + | 9.61806i | −0.920012 | + | 0.381081i | ||||
\(638\) | 3.61794 | − | 1.98278i | 0.143235 | − | 0.0784989i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −0.0918734 | + | 3.68511i | −0.00363161 | + | 0.145667i | ||||
\(641\) | − | 22.0692i | − | 0.871679i | −0.900024 | − | 0.435840i | \(-0.856452\pi\) | ||
0.900024 | − | 0.435840i | \(-0.143548\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 5.77834 | + | 13.9501i | 0.227875 | + | 0.550140i | 0.995918 | − | 0.0902583i | \(-0.0287693\pi\) |
−0.768043 | + | 0.640398i | \(0.778769\pi\) | |||||||
\(644\) | −29.0126 | − | 18.5193i | −1.14326 | − | 0.729763i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0.334014 | + | 0.268319i | 0.0131416 | + | 0.0105569i | ||||
\(647\) | 24.4425 | + | 24.4425i | 0.960933 | + | 0.960933i | 0.999265 | − | 0.0383325i | \(-0.0122046\pi\) |
−0.0383325 | + | 0.999265i | \(0.512205\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −1.35867 | + | 1.35867i | −0.0533327 | + | 0.0533327i | ||||
\(650\) | 17.8965 | − | 1.95194i | 0.701958 | − | 0.0765614i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −44.2074 | − | 7.83546i | −1.73130 | − | 0.306860i | ||||
\(653\) | 12.7664 | − | 5.28800i | 0.499587 | − | 0.206936i | −0.118637 | − | 0.992938i | \(-0.537853\pi\) |
0.618224 | + | 0.786002i | \(0.287853\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −1.95984 | −0.0765773 | ||||||||
\(656\) | 10.4091 | − | 28.4414i | 0.406406 | − | 1.11045i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 10.5787 | − | 36.2339i | 0.412400 | − | 1.41254i | ||||
\(659\) | −0.438176 | − | 1.05785i | −0.0170689 | − | 0.0412080i | 0.915115 | − | 0.403192i | \(-0.132099\pi\) |
−0.932184 | + | 0.361984i | \(0.882099\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 30.3267 | + | 12.5617i | 1.17957 | + | 0.488594i | 0.884345 | − | 0.466834i | \(-0.154605\pi\) |
0.295225 | + | 0.955428i | \(0.404605\pi\) | |||||||
\(662\) | −14.8304 | + | 1.61752i | −0.576398 | + | 0.0628668i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 3.42253 | + | 10.1268i | 0.132820 | + | 0.392995i | ||||
\(665\) | −0.0982281 | + | 0.0982281i | −0.00380912 | + | 0.00380912i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −34.2446 | − | 14.1846i | −1.32596 | − | 0.549230i | ||||
\(668\) | 28.9933 | − | 6.40065i | 1.12178 | − | 0.247648i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 1.88789 | − | 1.03464i | 0.0729354 | − | 0.0399716i | ||||
\(671\) | 3.61846 | 0.139689 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 36.9048 | 1.42257 | 0.711287 | − | 0.702902i | \(-0.248113\pi\) | ||||
0.711287 | + | 0.702902i | \(0.248113\pi\) | |||||||
\(674\) | −24.7794 | + | 13.5802i | −0.954468 | + | 0.523088i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 2.68769 | + | 12.1745i | 0.103373 | + | 0.468251i | ||||
\(677\) | 11.8928 | + | 4.92617i | 0.457078 | + | 0.189328i | 0.599329 | − | 0.800503i | \(-0.295434\pi\) |
−0.142251 | + | 0.989831i | \(0.545434\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −31.9748 | + | 31.9748i | −1.22708 | + | 1.22708i | ||||
\(680\) | −2.39575 | − | 1.18542i | −0.0918727 | − | 0.0454589i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0.648641 | − | 0.0707462i | 0.0248377 | − | 0.00270901i | ||||
\(683\) | −30.6428 | − | 12.6927i | −1.17251 | − | 0.485671i | −0.290491 | − | 0.956878i | \(-0.593819\pi\) |
−0.882023 | + | 0.471206i | \(0.843819\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 1.86209 | + | 4.49548i | 0.0711468 | + | 0.171764i | ||||
\(686\) | 4.30703 | − | 14.7524i | 0.164443 | − | 0.563248i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 28.4121 | − | 1.18993i | 1.08320 | − | 0.0453656i | ||||
\(689\) | −25.8650 | −0.985376 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 24.8504 | − | 10.2934i | 0.945354 | − | 0.391578i | 0.143871 | − | 0.989596i | \(-0.454045\pi\) |
0.801483 | + | 0.598018i | \(0.204045\pi\) | |||||||
\(692\) | −5.58850 | + | 31.5302i | −0.212443 | + | 1.19860i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 38.9927 | − | 4.25287i | 1.48014 | − | 0.161437i | ||||
\(695\) | −0.740065 | + | 0.740065i | −0.0280723 | + | 0.0280723i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 15.5289 | + | 15.5289i | 0.588201 | + | 0.588201i | ||||
\(698\) | 20.6792 | + | 16.6119i | 0.782719 | + | 0.628770i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −21.4965 | + | 33.6767i | −0.812491 | + | 1.27286i | ||||
\(701\) | −4.90668 | − | 11.8458i | −0.185323 | − | 0.447408i | 0.803726 | − | 0.595000i | \(-0.202848\pi\) |
−0.989048 | + | 0.147591i | \(0.952848\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 1.05597i | 0.0398267i | ||||||||
\(704\) | −2.29539 | − | 1.33341i | −0.0865107 | − | 0.0502548i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 42.2286 | − | 23.1430i | 1.58930 | − | 0.870999i | ||||
\(707\) | 46.4236 | − | 19.2293i | 1.74594 | − | 0.723192i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 12.3824 | − | 29.8938i | 0.465032 | − | 1.12269i | −0.501274 | − | 0.865289i | \(-0.667135\pi\) |
0.966306 | − | 0.257397i | \(-0.0828649\pi\) | |||||||
\(710\) | 2.17490 | − | 2.70740i | 0.0816225 | − | 0.101607i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −0.201130 | + | 0.175913i | −0.00753768 | + | 0.00659262i | ||||
\(713\) | −4.14518 | − | 4.14518i | −0.155238 | − | 0.155238i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0.107621 | − | 0.259820i | 0.00402479 | − | 0.00971671i | ||||
\(716\) | 15.2818 | + | 2.70860i | 0.571109 | + | 0.101225i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −13.0546 | + | 44.7142i | −0.487192 | + | 1.66872i | ||||
\(719\) | − | 12.2596i | − | 0.457205i | −0.973520 | − | 0.228603i | \(-0.926584\pi\) | ||
0.973520 | − | 0.228603i | \(-0.0734157\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | − | 42.5263i | − | 1.58376i | ||||||
\(722\) | 25.7784 | + | 7.52616i | 0.959374 | + | 0.280094i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −15.9183 | + | 11.1251i | −0.591599 | + | 0.413459i | ||||
\(725\) | −16.4649 | + | 39.7498i | −0.611492 | + | 1.47627i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −35.2875 | − | 35.2875i | −1.30874 | − | 1.30874i | −0.922324 | − | 0.386417i | \(-0.873713\pi\) |
−0.386417 | − | 0.922324i | \(-0.626287\pi\) | |||||||
\(728\) | 26.9170 | + | 13.3186i | 0.997612 | + | 0.493622i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −3.76113 | − | 3.02138i | −0.139206 | − | 0.111826i | ||||
\(731\) | −7.89104 | + | 19.0507i | −0.291861 | + | 0.704614i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −0.835248 | + | 0.345971i | −0.0308506 | + | 0.0127787i | −0.398055 | − | 0.917361i | \(-0.630315\pi\) |
0.367205 | + | 0.930140i | \(0.380315\pi\) | |||||||
\(734\) | 6.52112 | + | 11.8990i | 0.240699 | + | 0.439199i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 3.57573 | + | 23.5801i | 0.131803 | + | 0.869173i | ||||
\(737\) | 1.55030i | 0.0571061i | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −7.59589 | − | 18.3381i | −0.279419 | − | 0.674578i | 0.720401 | − | 0.693558i | \(-0.243958\pi\) |
−0.999820 | + | 0.0189805i | \(0.993958\pi\) | |||||||
\(740\) | −1.42020 | − | 6.43316i | −0.0522077 | − | 0.236488i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 35.9487 | − | 44.7504i | 1.31972 | − | 1.64284i | ||||
\(743\) | −23.4474 | − | 23.4474i | −0.860201 | − | 0.860201i | 0.131161 | − | 0.991361i | \(-0.458130\pi\) |
−0.991361 | + | 0.131161i | \(0.958130\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −2.57768 | + | 2.57768i | −0.0944389 | + | 0.0944389i | ||||
\(746\) | −4.01948 | − | 36.8529i | −0.147164 | − | 1.34928i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 1.57776 | − | 1.10267i | 0.0576886 | − | 0.0403177i | ||||
\(749\) | −8.48792 | + | 3.51581i | −0.310142 | + | 0.128465i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 7.21803 | 0.263390 | 0.131695 | − | 0.991290i | \(-0.457958\pi\) | ||||
0.131695 | + | 0.991290i | \(0.457958\pi\) | |||||||
\(752\) | −23.7242 | + | 11.0115i | −0.865131 | + | 0.401548i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 31.0452 | + | 9.06380i | 1.13060 | + | 0.330084i | ||||
\(755\) | −0.638757 | − | 1.54210i | −0.0232467 | − | 0.0561226i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 24.0060 | + | 9.94361i | 0.872513 | + | 0.361407i | 0.773588 | − | 0.633688i | \(-0.218460\pi\) |
0.0989242 | + | 0.995095i | \(0.468460\pi\) | |||||||
\(758\) | 5.03237 | + | 46.1396i | 0.182784 | + | 1.67586i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0.0960418 | + | 0.00642345i | 0.00348380 | + | 0.000233003i | ||||
\(761\) | −9.41544 | + | 9.41544i | −0.341309 | + | 0.341309i | −0.856859 | − | 0.515550i | \(-0.827588\pi\) |
0.515550 | + | 0.856859i | \(0.327588\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 16.5263 | + | 6.84540i | 0.598291 | + | 0.247820i | ||||
\(764\) | 21.0361 | − | 32.9554i | 0.761060 | − | 1.19229i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −7.98584 | − | 14.5716i | −0.288540 | − | 0.526494i | ||||
\(767\) | −15.0625 | −0.543874 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 26.7562 | 0.964854 | 0.482427 | − | 0.875936i | \(-0.339755\pi\) | ||||
0.482427 | + | 0.875936i | \(0.339755\pi\) | |||||||
\(770\) | 0.299951 | + | 0.547315i | 0.0108095 | + | 0.0197239i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 1.97333 | − | 3.09144i | 0.0710216 | − | 0.111263i | ||||
\(773\) | 11.5492 | + | 4.78383i | 0.415395 | + | 0.172062i | 0.580585 | − | 0.814199i | \(-0.302824\pi\) |
−0.165190 | + | 0.986262i | \(0.552824\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −4.81156 | + | 4.81156i | −0.172836 | + | 0.172836i | ||||
\(776\) | 31.2631 | + | 2.09094i | 1.12228 | + | 0.0750602i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 1.26161 | + | 11.5671i | 0.0452309 | + | 0.414702i | ||||
\(779\) | −0.730644 | − | 0.302642i | −0.0261780 | − | 0.0108433i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0.957034 | + | 2.31049i | 0.0342454 | + | 0.0826757i | ||||
\(782\) | −16.6008 | − | 4.84671i | −0.593645 | − | 0.173318i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −35.0567 | + | 16.2715i | −1.25203 | + | 0.581123i | ||||
\(785\) | −0.438018 | −0.0156335 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −5.91286 | + | 2.44919i | −0.210771 | + | 0.0873041i | −0.485571 | − | 0.874197i | \(-0.661388\pi\) |
0.274800 | + | 0.961501i | \(0.411388\pi\) | |||||||
\(788\) | −28.1846 | + | 19.6978i | −1.00403 | + | 0.701704i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0.528074 | + | 4.84168i | 0.0187880 | + | 0.172259i | ||||
\(791\) | 17.1363 | − | 17.1363i | 0.609297 | − | 0.609297i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 20.0574 | + | 20.0574i | 0.712259 | + | 0.712259i | ||||
\(794\) | −6.27841 | + | 7.81563i | −0.222813 | + | 0.277366i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −11.5776 | − | 52.4434i | −0.410356 | − | 1.85881i | ||||
\(797\) | 5.98509 | + | 14.4493i | 0.212003 | + | 0.511820i | 0.993731 | − | 0.111799i | \(-0.0356614\pi\) |
−0.781728 | + | 0.623620i | \(0.785661\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | − | 18.9656i | − | 0.670955i | ||||||
\(800\) | 27.3708 | − | 4.15057i | 0.967705 | − | 0.146745i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 19.2327 | + | 35.0936i | 0.679132 | + | 1.23920i | ||||
\(803\) | 3.20974 | − | 1.32952i | 0.113269 | − | 0.0469176i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 2.14582 | − | 5.18047i | 0.0756302 | − | 0.182587i | ||||
\(806\) | 3.98761 | + | 3.20331i | 0.140458 | + | 0.112832i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −31.2066 | − | 15.4411i | −1.09785 | − | 0.543217i | ||||
\(809\) | −34.5911 | − | 34.5911i | −1.21616 | − | 1.21616i | −0.968967 | − | 0.247191i | \(-0.920493\pi\) |
−0.247191 | − | 0.968967i | \(-0.579507\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 12.7627 | − | 30.8119i | 0.448159 | − | 1.08195i | −0.524852 | − | 0.851194i | \(-0.675879\pi\) |
0.973011 | − | 0.230758i | \(-0.0741207\pi\) | |||||||
\(812\) | −58.8303 | + | 41.1156i | −2.06454 | + | 1.44287i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 4.55413 | + | 1.32960i | 0.159622 | + | 0.0466026i | ||||
\(815\) | − | 7.31412i | − | 0.256202i | ||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | − | 0.742554i | − | 0.0259787i | ||||||
\(818\) | 2.71598 | − | 9.30274i | 0.0949622 | − | 0.325263i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 4.85825 | + | 0.861091i | 0.169657 | + | 0.0300706i | ||||
\(821\) | 8.82166 | − | 21.2974i | 0.307878 | − | 0.743284i | −0.691895 | − | 0.721998i | \(-0.743224\pi\) |
0.999773 | − | 0.0212858i | \(-0.00677600\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 14.7096 | + | 14.7096i | 0.512743 | + | 0.512743i | 0.915366 | − | 0.402623i | \(-0.131901\pi\) |
−0.402623 | + | 0.915366i | \(0.631901\pi\) | |||||||
\(824\) | −22.1803 | + | 19.3994i | −0.772688 | + | 0.675810i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 20.9347 | − | 26.0604i | 0.728413 | − | 0.906758i | ||||
\(827\) | 21.5103 | − | 51.9304i | 0.747985 | − | 1.80580i | 0.178217 | − | 0.983991i | \(-0.442967\pi\) |
0.569768 | − | 0.821806i | \(-0.307033\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −13.6740 | + | 5.66395i | −0.474917 | + | 0.196717i | −0.607286 | − | 0.794483i | \(-0.707742\pi\) |
0.132369 | + | 0.991201i | \(0.457742\pi\) | |||||||
\(830\) | −1.52713 | + | 0.836932i | −0.0530076 | + | 0.0290503i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −5.33230 | − | 20.1147i | −0.184864 | − | 0.697352i | ||||
\(833\) | − | 28.0251i | − | 0.971013i | ||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 1.85106 | + | 4.46886i | 0.0640586 | + | 0.154651i | ||||
\(836\) | −0.0372959 | + | 0.0584283i | −0.00128991 | + | 0.00202078i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 19.4236 | + | 15.6033i | 0.670977 | + | 0.539006i | ||||
\(839\) | 12.2134 | + | 12.2134i | 0.421652 | + | 0.421652i | 0.885772 | − | 0.464120i | \(-0.153629\pi\) |
−0.464120 | + | 0.885772i | \(0.653629\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −34.1483 | + | 34.1483i | −1.17753 | + | 1.17753i | ||||
\(842\) | 54.4301 | − | 5.93660i | 1.87579 | − | 0.204589i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −0.674368 | + | 3.80476i | −0.0232127 | + | 0.130965i | ||||
\(845\) | −1.87651 | + | 0.777276i | −0.0645539 | + | 0.0267391i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 44.4519 | 1.52738 | ||||||||
\(848\) | −39.7393 | + | 1.66432i | −1.36465 | + | 0.0571530i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −5.62587 | + | 19.2696i | −0.192966 | + | 0.660942i | ||||
\(851\) | −16.3115 | − | 39.3795i | −0.559151 | − | 1.34991i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 30.1053 | + | 12.4700i | 1.03078 | + | 0.426965i | 0.832995 | − | 0.553280i | \(-0.186624\pi\) |
0.197789 | + | 0.980245i | \(0.436624\pi\) | |||||||
\(854\) | −62.5795 | + | 6.82544i | −2.14142 | + | 0.233562i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 5.70571 | + | 2.82320i | 0.195017 | + | 0.0964950i | ||||
\(857\) | 32.7286 | − | 32.7286i | 1.11799 | − | 1.11799i | 0.125953 | − | 0.992036i | \(-0.459801\pi\) |
0.992036 | − | 0.125953i | \(-0.0401988\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 5.25479 | + | 2.17661i | 0.179291 | + | 0.0742648i | 0.470523 | − | 0.882388i | \(-0.344065\pi\) |
−0.291232 | + | 0.956652i | \(0.594065\pi\) | |||||||
\(860\) | 0.998681 | + | 4.52377i | 0.0340548 | + | 0.154259i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −15.1822 | + | 8.32046i | −0.517107 | + | 0.283396i | ||||
\(863\) | −30.3936 | −1.03461 | −0.517304 | − | 0.855802i | \(-0.673064\pi\) | ||||
−0.517304 | + | 0.855802i | \(0.673064\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −5.21667 | −0.177372 | ||||||||
\(866\) | −24.9006 | + | 13.6465i | −0.846156 | + | 0.463728i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −11.0845 | + | 2.44704i | −0.376231 | + | 0.0830579i | ||||
\(869\) | −3.24033 | − | 1.34219i | −0.109921 | − | 0.0455307i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −8.59343 | + | 8.59343i | −0.291177 | + | 0.291177i | ||||
\(872\) | −3.96852 | − | 11.7423i | −0.134391 | − | 0.397643i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 0.619096 | − | 0.0675238i | 0.0209412 | − | 0.00228403i | ||||
\(875\) | −12.1570 | − | 5.03560i | −0.410982 | − | 0.170234i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 17.9848 | + | 43.4192i | 0.607304 | + | 1.46616i | 0.865921 | + | 0.500181i | \(0.166733\pi\) |
−0.258617 | + | 0.965980i | \(0.583267\pi\) | |||||||
\(878\) | −14.9983 | + | 51.3719i | −0.506168 | + | 1.73372i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0.148632 | − | 0.406116i | 0.00501038 | − | 0.0136902i | ||||
\(881\) | −12.6546 | −0.426344 | −0.213172 | − | 0.977015i | \(-0.568379\pi\) | ||||
−0.213172 | + | 0.977015i | \(0.568379\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −31.4803 | + | 13.0396i | −1.05940 | + | 0.438817i | −0.843238 | − | 0.537541i | \(-0.819353\pi\) |
−0.216160 | + | 0.976358i | \(0.569353\pi\) | |||||||
\(884\) | 14.8578 | + | 2.63345i | 0.499723 | + | 0.0885724i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 4.47230 | − | 0.487786i | 0.150250 | − | 0.0163875i | ||||
\(887\) | −31.2747 | + | 31.2747i | −1.05010 | + | 1.05010i | −0.0514261 | + | 0.998677i | \(0.516377\pi\) |
−0.998677 | + | 0.0514261i | \(0.983623\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −13.9864 | − | 13.9864i | −0.469090 | − | 0.469090i | ||||
\(890\) | −0.0339368 | − | 0.0272620i | −0.00113756 | − | 0.000913823i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 2.65692 | + | 1.69597i | 0.0889603 | + | 0.0567851i | ||||
\(893\) | 0.261361 | + | 0.630980i | 0.00874610 | + | 0.0211149i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 2.52838i | 0.0845145i | ||||||||
\(896\) | 42.2127 | + | 18.7309i | 1.41023 | + | 0.625756i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 36.8825 | − | 20.2131i | 1.23079 | − | 0.674521i | ||||
\(899\) | −11.2937 | + | 4.67801i | −0.376667 | + | 0.156020i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 11.0370 | − | 26.6457i | 0.367696 | − | 0.887696i | ||||
\(902\) | −2.22520 | + | 2.77001i | −0.0740909 | + | 0.0922314i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −16.7549 | − | 1.12060i | −0.557260 | − | 0.0372705i | ||||
\(905\) | −2.23716 | − | 2.23716i | −0.0743658 | − | 0.0743658i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −0.674561 | + | 1.62853i | −0.0223984 | + | 0.0540746i | −0.934683 | − | 0.355482i | \(-0.884317\pi\) |
0.912285 | + | 0.409557i | \(0.134317\pi\) | |||||||
\(908\) | −9.91087 | + | 55.9168i | −0.328904 | + | 1.85566i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −1.37116 | + | 4.69646i | −0.0454534 | + | 0.155686i | ||||
\(911\) | 38.8187i | 1.28612i | 0.765815 | + | 0.643061i | \(0.222336\pi\) | ||||
−0.765815 | + | 0.643061i | \(0.777664\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | − | 1.25406i | − | 0.0415032i | ||||||
\(914\) | 2.98016 | + | 0.870074i | 0.0985750 | + | 0.0287795i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 24.4884 | + | 35.0393i | 0.809120 | + | 1.15773i | ||||
\(917\) | −9.39608 | + | 22.6841i | −0.310286 | + | 0.749096i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −17.8702 | − | 17.8702i | −0.589483 | − | 0.589483i | 0.348009 | − | 0.937491i | \(-0.386858\pi\) |
−0.937491 | + | 0.348009i | \(0.886858\pi\) | |||||||
\(920\) | −3.68083 | + | 1.24401i | −0.121353 | + | 0.0410137i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 9.62030 | + | 7.72814i | 0.316828 | + | 0.254513i | ||||
\(923\) | −7.50228 | + | 18.1121i | −0.246940 | + | 0.596167i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −45.7101 | + | 18.9338i | −1.50294 | + | 0.622538i | ||||
\(926\) | 5.99369 | + | 10.9366i | 0.196965 | + | 0.359398i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 48.2814 | + | 11.9281i | 1.58492 | + | 0.391559i | ||||
\(929\) | − | 13.9932i | − | 0.459102i | −0.973297 | − | 0.229551i | \(-0.926274\pi\) | ||
0.973297 | − | 0.229551i | \(-0.0737258\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0.386207 | + | 0.932387i | 0.0126574 | + | 0.0305577i | ||||
\(932\) | −38.3185 | + | 8.45929i | −1.25516 | + | 0.277093i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 5.63452 | − | 7.01408i | 0.184367 | − | 0.229508i | ||||
\(935\) | 0.221739 | + | 0.221739i | 0.00725163 | + | 0.00725163i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −2.92359 | + | 2.92359i | −0.0955095 | + | 0.0955095i | −0.753247 | − | 0.657738i | \(-0.771514\pi\) |
0.657738 | + | 0.753247i | \(0.271514\pi\) | |||||||
\(938\) | −2.92430 | − | 26.8117i | −0.0954819 | − | 0.875432i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −2.44088 | − | 3.49254i | −0.0796127 | − | 0.113914i | ||||
\(941\) | 46.2098 | − | 19.1407i | 1.50639 | − | 0.623969i | 0.531585 | − | 0.847005i | \(-0.321597\pi\) |
0.974810 | + | 0.223036i | \(0.0715967\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 31.9222 | 1.03953 | ||||||||
\(944\) | −23.1422 | + | 0.969218i | −0.753214 | + | 0.0315454i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −3.20245 | − | 0.934972i | −0.104121 | − | 0.0303986i | ||||
\(947\) | −8.65419 | − | 20.8931i | −0.281224 | − | 0.678934i | 0.718641 | − | 0.695381i | \(-0.244764\pi\) |
−0.999865 | + | 0.0164474i | \(0.994764\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 25.1614 | + | 10.4222i | 0.816773 | + | 0.338319i | ||||
\(950\) | −0.0783790 | − | 0.718623i | −0.00254295 | − | 0.0233152i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −25.2066 | + | 22.0462i | −0.816951 | + | 0.714523i | ||||
\(953\) | 29.7513 | − | 29.7513i | 0.963739 | − | 0.963739i | −0.0356263 | − | 0.999365i | \(-0.511343\pi\) |
0.999365 | + | 0.0356263i | \(0.0113426\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 5.88450 | + | 2.43744i | 0.190418 | + | 0.0788737i | ||||
\(956\) | −31.1721 | − | 19.8978i | −1.00818 | − | 0.643540i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −14.7486 | − | 26.9114i | −0.476504 | − | 0.869468i | ||||
\(959\) | 60.9603 | 1.96851 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 29.0667 | 0.937635 | ||||||||
\(962\) | 17.8738 | + | 32.6140i | 0.576274 | + | 1.05152i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 48.4826 | + | 30.9474i | 1.56152 | + | 0.996749i | ||||
\(965\) | 0.552005 | + | 0.228648i | 0.0177697 | + | 0.00736044i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −21.3043 | + | 21.3043i | −0.685099 | + | 0.685099i | −0.961145 | − | 0.276046i | \(-0.910976\pi\) |
0.276046 | + | 0.961145i | \(0.410976\pi\) | |||||||
\(968\) | −20.2778 | − | 23.1847i | −0.651754 | − | 0.745183i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0.553456 | + | 5.07439i | 0.0177704 | + | 0.162929i | ||||
\(971\) | 0.438202 | + | 0.181509i | 0.0140626 | + | 0.00582490i | 0.389704 | − | 0.920940i | \(-0.372577\pi\) |
−0.375641 | + | 0.926765i | \(0.622577\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 5.01777 | + | 12.1140i | 0.160862 | + | 0.388356i | ||||
\(974\) | −12.6543 | − | 3.69450i | −0.405471 | − | 0.118380i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 32.1071 | + | 29.5258i | 1.02772 | + | 0.945099i | ||||
\(977\) | 21.7644 | 0.696304 | 0.348152 | − | 0.937438i | \(-0.386809\pi\) | ||||
0.348152 | + | 0.937438i | \(0.386809\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 0.0289615 | − | 0.0119963i | 0.000925615 | − | 0.000383402i | ||||
\(980\) | −3.60684 | − | 5.16085i | −0.115216 | − | 0.164857i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 0.111337 | + | 1.02080i | 0.00355290 | + | 0.0325750i | ||||
\(983\) | 32.7935 | − | 32.7935i | 1.04595 | − | 1.04595i | 0.0470568 | − | 0.998892i | \(-0.485016\pi\) |
0.998892 | − | 0.0470568i | \(-0.0149842\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −3.96107 | − | 3.96107i | −0.126210 | − | 0.126210i | ||||
\(986\) | −22.5849 | + | 28.1146i | −0.719249 | + | 0.895350i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −0.530606 | + | 0.117138i | −0.0168808 | + | 0.00372666i | ||||
\(989\) | 11.4702 | + | 27.6915i | 0.364731 | + | 0.880538i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | − | 49.2307i | − | 1.56387i | −0.623363 | − | 0.781933i | \(-0.714234\pi\) | ||
0.623363 | − | 0.781933i | \(-0.285766\pi\) | |||||||
\(992\) | 6.33275 | + | 4.66502i | 0.201065 | + | 0.148115i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −20.9096 | − | 38.1534i | −0.663214 | − | 1.21015i | ||||
\(995\) | 8.08332 | − | 3.34822i | 0.256259 | − | 0.106146i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −12.0468 | + | 29.0836i | −0.381527 | + | 0.921088i | 0.610144 | + | 0.792291i | \(0.291112\pi\) |
−0.991671 | + | 0.128797i | \(0.958888\pi\) | |||||||
\(998\) | −5.02036 | − | 4.03293i | −0.158917 | − | 0.127660i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 864.2.w.b.107.11 | ✓ | 128 | |
3.2 | odd | 2 | inner | 864.2.w.b.107.22 | yes | 128 | |
32.3 | odd | 8 | inner | 864.2.w.b.323.22 | yes | 128 | |
96.35 | even | 8 | inner | 864.2.w.b.323.11 | yes | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
864.2.w.b.107.11 | ✓ | 128 | 1.1 | even | 1 | trivial | |
864.2.w.b.107.22 | yes | 128 | 3.2 | odd | 2 | inner | |
864.2.w.b.323.11 | yes | 128 | 96.35 | even | 8 | inner | |
864.2.w.b.323.22 | yes | 128 | 32.3 | odd | 8 | inner |