Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [216,2,Mod(25,216)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(216, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 0, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("216.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 216 = 2^{3} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 216.q (of order \(9\), degree \(6\), 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: | \(1.72476868366\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 121.2 | ||
Character | \(\chi\) | \(=\) | 216.121 |
Dual form | 216.2.q.a.25.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/216\mathbb{Z}\right)^\times\).
\(n\) | \(55\) | \(109\) | \(137\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{4}{9}\right)\) |
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 | ||||||||
\(3\) | −0.962247 | + | 1.44017i | −0.555554 | + | 0.831481i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 2.75433 | + | 2.31115i | 1.23177 | + | 1.03358i | 0.998122 | + | 0.0612589i | \(0.0195115\pi\) |
0.233650 | + | 0.972321i | \(0.424933\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.28512 | − | 0.467744i | −0.485728 | − | 0.176791i | 0.0875358 | − | 0.996161i | \(-0.472101\pi\) |
−0.573264 | + | 0.819371i | \(0.694323\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −1.14816 | − | 2.77159i | −0.382720 | − | 0.923864i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −0.884935 | + | 0.742548i | −0.266818 | + | 0.223887i | −0.766374 | − | 0.642395i | \(-0.777941\pi\) |
0.499556 | + | 0.866282i | \(0.333497\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.09441 | + | 6.20668i | −0.303533 | + | 1.72142i | 0.326795 | + | 0.945095i | \(0.394031\pi\) |
−0.630329 | + | 0.776328i | \(0.717080\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −5.97879 | + | 1.74279i | −1.54372 | + | 0.449986i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 0.526489 | − | 0.911906i | 0.127692 | − | 0.221170i | −0.795090 | − | 0.606492i | \(-0.792576\pi\) |
0.922782 | + | 0.385322i | \(0.125910\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.05282 | + | 1.82353i | 0.241533 | + | 0.418347i | 0.961151 | − | 0.276023i | \(-0.0890165\pi\) |
−0.719618 | + | 0.694370i | \(0.755683\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 1.91023 | − | 1.40070i | 0.416846 | − | 0.305657i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 6.16425 | − | 2.24360i | 1.28533 | − | 0.467823i | 0.393141 | − | 0.919478i | \(-0.371388\pi\) |
0.892193 | + | 0.451655i | \(0.149166\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.37664 | + | 7.80731i | 0.275328 | + | 1.56146i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 5.09637 | + | 1.01341i | 0.980797 | + | 0.195031i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −1.37595 | − | 7.80343i | −0.255508 | − | 1.44906i | −0.794764 | − | 0.606918i | \(-0.792406\pi\) |
0.539256 | − | 0.842142i | \(-0.318706\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −5.95928 | + | 2.16900i | −1.07032 | + | 0.389564i | −0.816296 | − | 0.577634i | \(-0.803976\pi\) |
−0.254023 | + | 0.967198i | \(0.581754\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −0.217868 | − | 1.98897i | −0.0379259 | − | 0.346235i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −2.45860 | − | 4.25842i | −0.415579 | − | 0.719804i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 4.41445 | − | 7.64606i | 0.725732 | − | 1.25700i | −0.232940 | − | 0.972491i | \(-0.574835\pi\) |
0.958672 | − | 0.284513i | \(-0.0918319\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −7.88557 | − | 7.54849i | −1.26270 | − | 1.20873i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 0.448188 | − | 2.54180i | 0.0699952 | − | 0.396963i | −0.929602 | − | 0.368566i | \(-0.879849\pi\) |
0.999597 | − | 0.0283964i | \(-0.00904007\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.115307 | − | 0.0967537i | 0.0175841 | − | 0.0147548i | −0.633953 | − | 0.773371i | \(-0.718569\pi\) |
0.651537 | + | 0.758617i | \(0.274124\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 3.24317 | − | 10.2874i | 0.483463 | − | 1.53356i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 9.75077 | + | 3.54899i | 1.42230 | + | 0.517673i | 0.934713 | − | 0.355403i | \(-0.115657\pi\) |
0.487583 | + | 0.873077i | \(0.337879\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −3.92957 | − | 3.29730i | −0.561368 | − | 0.471043i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0.806685 | + | 1.63571i | 0.112958 | + | 0.229045i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 2.09348 | 0.287562 | 0.143781 | − | 0.989610i | \(-0.454074\pi\) | ||||
0.143781 | + | 0.989610i | \(0.454074\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −4.15354 | −0.560064 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −3.63926 | − | 0.238457i | −0.482032 | − | 0.0315843i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 3.16766 | + | 2.65798i | 0.412394 | + | 0.346040i | 0.825261 | − | 0.564752i | \(-0.191028\pi\) |
−0.412867 | + | 0.910791i | \(0.635473\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 8.44358 | + | 3.07321i | 1.08109 | + | 0.393484i | 0.820313 | − | 0.571915i | \(-0.193799\pi\) |
0.260776 | + | 0.965399i | \(0.416021\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0.179125 | + | 4.09886i | 0.0225676 | + | 0.516408i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −17.3589 | + | 14.5659i | −2.15311 | + | 1.80668i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.79209 | − | 10.1634i | 0.218938 | − | 1.24166i | −0.655002 | − | 0.755627i | \(-0.727332\pi\) |
0.873940 | − | 0.486033i | \(-0.161557\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −2.70037 | + | 11.0364i | −0.325086 | + | 1.32863i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 8.05951 | − | 13.9595i | 0.956488 | − | 1.65669i | 0.225563 | − | 0.974228i | \(-0.427578\pi\) |
0.730925 | − | 0.682458i | \(-0.239089\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 1.63815 | + | 2.83736i | 0.191731 | + | 0.332088i | 0.945824 | − | 0.324680i | \(-0.105257\pi\) |
−0.754093 | + | 0.656768i | \(0.771923\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −12.5685 | − | 5.52997i | −1.45128 | − | 0.638546i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 1.48457 | − | 0.540338i | 0.169182 | − | 0.0615772i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.318057 | + | 1.80379i | 0.0357842 | + | 0.202942i | 0.997458 | − | 0.0712528i | \(-0.0226997\pi\) |
−0.961674 | + | 0.274195i | \(0.911589\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −6.36345 | + | 6.36447i | −0.707050 | + | 0.707164i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 1.68430 | + | 9.55214i | 0.184876 | + | 1.04848i | 0.926115 | + | 0.377242i | \(0.123127\pi\) |
−0.741239 | + | 0.671241i | \(0.765761\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 3.55768 | − | 1.29489i | 0.385885 | − | 0.140450i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 12.5622 | + | 5.52722i | 1.34681 | + | 0.592580i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −3.14496 | − | 5.44724i | −0.333366 | − | 0.577406i | 0.649804 | − | 0.760102i | \(-0.274851\pi\) |
−0.983169 | + | 0.182696i | \(0.941518\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 4.30957 | − | 7.46440i | 0.451766 | − | 0.782482i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 2.61058 | − | 10.6695i | 0.270704 | − | 1.10637i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −1.31466 | + | 7.45583i | −0.134882 | + | 0.764952i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −10.4149 | + | 8.73916i | −1.05748 | + | 0.887328i | −0.993860 | − | 0.110647i | \(-0.964708\pi\) |
−0.0636160 | + | 0.997974i | \(0.520263\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 3.07409 | + | 1.60011i | 0.308958 | + | 0.160817i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −5.41688 | − | 1.97158i | −0.538999 | − | 0.196180i | 0.0581529 | − | 0.998308i | \(-0.481479\pi\) |
−0.597152 | + | 0.802128i | \(0.703701\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −10.2693 | − | 8.61694i | −1.01186 | − | 0.849052i | −0.0232779 | − | 0.999729i | \(-0.507410\pi\) |
−0.988583 | + | 0.150677i | \(0.951855\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 8.49861 | + | 0.556857i | 0.829380 | + | 0.0543437i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −3.97825 | −0.384592 | −0.192296 | − | 0.981337i | \(-0.561593\pi\) | ||||
−0.192296 | + | 0.981337i | \(0.561593\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −9.74366 | −0.933273 | −0.466637 | − | 0.884449i | \(-0.654534\pi\) | ||||
−0.466637 | + | 0.884449i | \(0.654534\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 6.76380 | + | 13.7149i | 0.641992 | + | 1.30176i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −0.800156 | − | 0.671411i | −0.0752724 | − | 0.0631610i | 0.604375 | − | 0.796700i | \(-0.293423\pi\) |
−0.679648 | + | 0.733539i | \(0.737867\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 22.1637 | + | 8.06691i | 2.06677 | + | 0.752243i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 18.4589 | − | 4.09303i | 1.70653 | − | 0.378400i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −1.10314 | + | 0.925643i | −0.101125 | + | 0.0848535i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −1.67840 | + | 9.51867i | −0.152582 | + | 0.865334i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 3.22935 | + | 3.09131i | 0.291181 | + | 0.278734i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −5.26338 | + | 9.11645i | −0.470771 | + | 0.815400i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 1.39248 | + | 2.41185i | 0.123563 | + | 0.214017i | 0.921170 | − | 0.389160i | \(-0.127235\pi\) |
−0.797607 | + | 0.603177i | \(0.793901\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0.0283881 | + | 0.259162i | 0.00249943 | + | 0.0228179i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −12.2292 | + | 4.45105i | −1.06847 | + | 0.388890i | −0.815603 | − | 0.578611i | \(-0.803595\pi\) |
−0.252864 | + | 0.967502i | \(0.581373\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.500046 | − | 2.83590i | −0.0433594 | − | 0.245904i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 11.6949 | + | 14.5698i | 1.00654 | + | 1.25397i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 1.25063 | + | 7.09266i | 0.106848 | + | 0.605967i | 0.990466 | + | 0.137758i | \(0.0439895\pi\) |
−0.883618 | + | 0.468209i | \(0.844899\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −17.4272 | + | 6.34299i | −1.47816 | + | 0.538005i | −0.950302 | − | 0.311329i | \(-0.899226\pi\) |
−0.527855 | + | 0.849334i | \(0.677004\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −14.4938 | + | 10.6277i | −1.22060 | + | 0.895016i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −3.64028 | − | 6.30516i | −0.304416 | − | 0.527264i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 14.2451 | − | 24.6732i | 1.18299 | − | 2.04900i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 8.52989 | − | 2.48642i | 0.703533 | − | 0.205077i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 0.00399184 | − | 0.0226389i | 0.000327025 | − | 0.00185465i | −0.984644 | − | 0.174575i | \(-0.944145\pi\) |
0.984971 | + | 0.172721i | \(0.0552558\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 13.6742 | − | 11.4740i | 1.11279 | − | 0.933744i | 0.114575 | − | 0.993415i | \(-0.463449\pi\) |
0.998218 | + | 0.0596701i | \(0.0190049\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −3.13193 | − | 0.412198i | −0.253201 | − | 0.0333243i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −21.4267 | − | 7.79868i | −1.72103 | − | 0.626405i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 4.52658 | + | 3.79825i | 0.361261 | + | 0.303134i | 0.805293 | − | 0.592877i | \(-0.202008\pi\) |
−0.444032 | + | 0.896011i | \(0.646452\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −2.01445 | + | 3.01496i | −0.159756 | + | 0.239102i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −8.97120 | −0.707030 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −7.58861 | −0.594385 | −0.297193 | − | 0.954818i | \(-0.596050\pi\) | ||||
−0.297193 | + | 0.954818i | \(0.596050\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 3.99673 | − | 5.98179i | 0.311145 | − | 0.465682i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 4.71901 | + | 3.95972i | 0.365168 | + | 0.306412i | 0.806847 | − | 0.590761i | \(-0.201172\pi\) |
−0.441679 | + | 0.897173i | \(0.645617\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −25.1092 | − | 9.13899i | −1.93147 | − | 0.702999i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 3.84529 | − | 5.01169i | 0.294056 | − | 0.383254i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 1.67125 | − | 1.40235i | 0.127063 | − | 0.106618i | −0.577042 | − | 0.816715i | \(-0.695793\pi\) |
0.704105 | + | 0.710096i | \(0.251349\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 1.88268 | − | 10.6772i | 0.142317 | − | 0.807121i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −6.87601 | + | 2.00432i | −0.516832 | + | 0.150654i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −2.91718 | + | 5.05271i | −0.218040 | + | 0.377657i | −0.954209 | − | 0.299141i | \(-0.903300\pi\) |
0.736168 | + | 0.676798i | \(0.236633\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −2.09298 | − | 3.62516i | −0.155570 | − | 0.269456i | 0.777696 | − | 0.628640i | \(-0.216388\pi\) |
−0.933267 | + | 0.359185i | \(0.883055\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −12.5507 | + | 9.20297i | −0.927778 | + | 0.680303i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 29.8301 | − | 10.8573i | 2.19315 | − | 0.798241i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.211226 | + | 1.19792i | 0.0154464 | + | 0.0876007i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −6.07541 | − | 3.68615i | −0.441921 | − | 0.268128i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 0.318913 | + | 1.80865i | 0.0230758 | + | 0.130869i | 0.994169 | − | 0.107830i | \(-0.0343902\pi\) |
−0.971094 | + | 0.238699i | \(0.923279\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 11.7434 | − | 4.27425i | 0.845308 | − | 0.307667i | 0.117182 | − | 0.993110i | \(-0.462614\pi\) |
0.728126 | + | 0.685443i | \(0.240392\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −4.27371 | − | 39.0158i | −0.306047 | − | 2.79398i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 4.59728 | + | 7.96272i | 0.327542 | + | 0.567320i | 0.982024 | − | 0.188758i | \(-0.0604462\pi\) |
−0.654481 | + | 0.756078i | \(0.727113\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 9.27622 | − | 16.0669i | 0.657574 | − | 1.13895i | −0.323668 | − | 0.946171i | \(-0.604916\pi\) |
0.981242 | − | 0.192780i | \(-0.0617505\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 12.9126 | + | 12.3606i | 0.910785 | + | 0.871852i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −1.88174 | + | 10.6719i | −0.132073 | + | 0.749021i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 7.10895 | − | 5.96512i | 0.496511 | − | 0.416622i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −13.2959 | − | 14.5088i | −0.924129 | − | 1.00843i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −2.28574 | − | 0.831940i | −0.158108 | − | 0.0575465i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 7.60326 | + | 6.37989i | 0.523430 | + | 0.439210i | 0.865826 | − | 0.500346i | \(-0.166794\pi\) |
−0.342396 | + | 0.939556i | \(0.611238\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 12.3487 | + | 25.0395i | 0.846122 | + | 1.71568i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 0.541205 | 0.0369098 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 8.67290 | 0.588755 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −5.66258 | − | 0.371031i | −0.382642 | − | 0.0250720i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 5.08372 | + | 4.26575i | 0.341968 | + | 0.286945i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −19.5545 | − | 7.11727i | −1.30947 | − | 0.476607i | −0.409399 | − | 0.912355i | \(-0.634262\pi\) |
−0.900069 | + | 0.435748i | \(0.856484\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 20.0581 | − | 12.7795i | 1.33720 | − | 0.851969i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 21.0896 | − | 17.6963i | 1.39977 | − | 1.17454i | 0.438563 | − | 0.898700i | \(-0.355488\pi\) |
0.961203 | − | 0.275842i | \(-0.0889568\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 1.87659 | − | 10.6427i | 0.124009 | − | 0.703288i | −0.857883 | − | 0.513845i | \(-0.828221\pi\) |
0.981892 | − | 0.189443i | \(-0.0606683\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −0.650342 | + | 2.65796i | −0.0427894 | + | 0.174881i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 0.224797 | − | 0.389361i | 0.0147270 | − | 0.0255079i | −0.858568 | − | 0.512700i | \(-0.828645\pi\) |
0.873295 | + | 0.487192i | \(0.161979\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 18.6545 | + | 32.3106i | 1.21689 | + | 2.10771i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −2.90381 | − | 1.27764i | −0.188623 | − | 0.0829914i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −19.3110 | + | 7.02864i | −1.24913 | + | 0.454645i | −0.880107 | − | 0.474776i | \(-0.842529\pi\) |
−0.369021 | + | 0.929421i | \(0.620307\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −1.88096 | − | 10.6675i | −0.121163 | − | 0.687151i | −0.983513 | − | 0.180838i | \(-0.942119\pi\) |
0.862350 | − | 0.506313i | \(-0.168992\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −3.04269 | − | 15.2886i | −0.195189 | − | 0.980766i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −3.20275 | − | 18.1637i | −0.204616 | − | 1.16044i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −12.4703 | + | 4.53882i | −0.793466 | + | 0.288798i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −15.3774 | − | 6.76584i | −0.974502 | − | 0.428768i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −5.50004 | − | 9.52636i | −0.347160 | − | 0.601298i | 0.638584 | − | 0.769552i | \(-0.279520\pi\) |
−0.985744 | + | 0.168254i | \(0.946187\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −3.78897 | + | 6.56269i | −0.238211 | + | 0.412593i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −1.55851 | + | 6.36966i | −0.0975977 | + | 0.398883i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 2.84563 | − | 16.1384i | 0.177506 | − | 1.00668i | −0.757706 | − | 0.652596i | \(-0.773680\pi\) |
0.935212 | − | 0.354089i | \(-0.115209\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −9.24948 | + | 7.76123i | −0.574735 | + | 0.482260i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −20.0481 | + | 12.7732i | −1.24095 | + | 0.790640i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −7.11938 | − | 2.59124i | −0.439000 | − | 0.159783i | 0.113059 | − | 0.993588i | \(-0.463935\pi\) |
−0.552058 | + | 0.833805i | \(0.686157\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 5.76613 | + | 4.83836i | 0.354211 | + | 0.297218i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 10.8712 | + | 0.712315i | 0.665304 | + | 0.0435930i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 1.73753 | 0.105939 | 0.0529695 | − | 0.998596i | \(-0.483131\pi\) | ||||
0.0529695 | + | 0.998596i | \(0.483131\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −20.7783 | −1.26219 | −0.631095 | − | 0.775705i | \(-0.717394\pi\) | ||||
−0.631095 | + | 0.775705i | \(0.717394\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 6.60311 | + | 13.3891i | 0.399638 | + | 0.810345i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −7.01554 | − | 5.88674i | −0.423053 | − | 0.354984i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 2.03552 | + | 0.740867i | 0.122302 | + | 0.0445144i | 0.402446 | − | 0.915444i | \(-0.368160\pi\) |
−0.280144 | + | 0.959958i | \(0.590382\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 12.8538 | + | 14.0263i | 0.769537 | + | 0.839735i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 6.00308 | − | 5.03719i | 0.358114 | − | 0.300493i | −0.445924 | − | 0.895071i | \(-0.647125\pi\) |
0.804038 | + | 0.594577i | \(0.202681\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −4.11954 | + | 23.3630i | −0.244881 | + | 1.38879i | 0.575888 | + | 0.817529i | \(0.304656\pi\) |
−0.820769 | + | 0.571260i | \(0.806455\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −9.47261 | − | 9.06768i | −0.561109 | − | 0.537123i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −1.76488 | + | 3.05687i | −0.104178 | + | 0.180441i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 7.94562 | + | 13.7622i | 0.467389 | + | 0.809542i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −2.56412 | − | 23.4085i | −0.150311 | − | 1.37223i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −7.94941 | + | 2.89335i | −0.464409 | + | 0.169031i | −0.563618 | − | 0.826036i | \(-0.690591\pi\) |
0.0992089 | + | 0.995067i | \(0.468369\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 2.58176 | + | 14.6419i | 0.150316 | + | 0.852484i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −5.26246 | + | 2.88750i | −0.305359 | + | 0.167550i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 7.17914 | + | 40.7149i | 0.415180 | + | 2.35460i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.193438 | + | 0.0704057i | −0.0111496 | + | 0.00405812i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 8.05178 | − | 5.90406i | 0.462563 | − | 0.339179i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 16.1537 | + | 27.9790i | 0.924958 | + | 1.60208i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −9.69418 | + | 16.7908i | −0.553276 | + | 0.958302i | 0.444759 | + | 0.895650i | \(0.353289\pi\) |
−0.998035 | + | 0.0626523i | \(0.980044\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 22.2914 | − | 6.49784i | 1.26811 | − | 0.369649i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 3.47766 | − | 19.7228i | 0.197200 | − | 1.11838i | −0.712051 | − | 0.702127i | \(-0.752234\pi\) |
0.909251 | − | 0.416248i | \(-0.136655\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −8.22142 | + | 6.89859i | −0.464702 | + | 0.389931i | −0.844858 | − | 0.534991i | \(-0.820315\pi\) |
0.380156 | + | 0.924923i | \(0.375870\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −8.97973 | + | 11.7036i | −0.505951 | + | 0.659422i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 22.5676 | + | 8.21393i | 1.26752 | + | 0.461340i | 0.886286 | − | 0.463138i | \(-0.153276\pi\) |
0.381236 | + | 0.924478i | \(0.375499\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 7.01205 | + | 5.88381i | 0.392600 | + | 0.329430i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 3.82806 | − | 5.72935i | 0.213662 | − | 0.319781i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 2.21719 | 0.123368 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −49.9641 | −2.77151 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 9.37581 | − | 14.0325i | 0.518483 | − | 0.775999i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −10.8708 | − | 9.12172i | −0.599329 | − | 0.502897i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 19.1244 | + | 6.96070i | 1.05117 | + | 0.382595i | 0.809104 | − | 0.587665i | \(-0.199953\pi\) |
0.242066 | + | 0.970260i | \(0.422175\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −26.2603 | − | 3.45616i | −1.43905 | − | 0.189396i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 28.4252 | − | 23.8516i | 1.55304 | − | 1.30315i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −1.51357 | + | 8.58388i | −0.0824494 | + | 0.467594i | 0.915428 | + | 0.402481i | \(0.131852\pi\) |
−0.997878 | + | 0.0651132i | \(0.979259\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 1.73689 | − | 0.506296i | 0.0943350 | − | 0.0274982i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 3.66299 | − | 6.34448i | 0.198362 | − | 0.343573i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 8.29423 | + | 14.3660i | 0.447846 | + | 0.775693i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −32.9446 | + | 24.1570i | −1.77368 | + | 1.30057i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −2.80009 | + | 1.01915i | −0.150317 | + | 0.0547107i | −0.416083 | − | 0.909327i | \(-0.636597\pi\) |
0.265766 | + | 0.964038i | \(0.414375\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 3.37235 | + | 19.1255i | 0.180518 | + | 1.02377i | 0.931580 | + | 0.363536i | \(0.118431\pi\) |
−0.751062 | + | 0.660231i | \(0.770458\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −11.8674 | + | 30.5225i | −0.633436 | + | 1.62917i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −1.26208 | − | 7.15761i | −0.0671738 | − | 0.380961i | −0.999798 | − | 0.0201116i | \(-0.993598\pi\) |
0.932624 | − | 0.360850i | \(-0.117513\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 54.4611 | − | 19.8222i | 2.89049 | − | 1.05205i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −0.271589 | − | 2.47940i | −0.0143740 | − | 0.131224i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 6.31207 | + | 10.9328i | 0.333138 | + | 0.577012i | 0.983125 | − | 0.182933i | \(-0.0585591\pi\) |
−0.649987 | + | 0.759945i | \(0.725226\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 7.28315 | − | 12.6148i | 0.383324 | − | 0.663936i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −12.0934 | − | 11.5765i | −0.634741 | − | 0.607608i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −2.04558 | + | 11.6010i | −0.107070 | + | 0.607226i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 10.1988 | − | 8.55779i | 0.532372 | − | 0.446713i | −0.336547 | − | 0.941666i | \(-0.609259\pi\) |
0.868920 | + | 0.494953i | \(0.164815\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −7.55943 | + | 1.67620i | −0.393528 | + | 0.0872596i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −2.69037 | − | 0.979213i | −0.139677 | − | 0.0508382i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −8.23624 | − | 6.91103i | −0.426456 | − | 0.357839i | 0.404156 | − | 0.914690i | \(-0.367565\pi\) |
−0.830613 | + | 0.556851i | \(0.812010\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −8.06453 | − | 16.3524i | −0.416451 | − | 0.844435i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 49.9392 | 2.57200 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −0.137196 | −0.00704729 | −0.00352364 | − | 0.999994i | \(-0.501122\pi\) | ||||
−0.00352364 | + | 0.999994i | \(0.501122\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −4.81338 | − | 0.315389i | −0.246597 | − | 0.0161579i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −15.9605 | − | 13.3924i | −0.815542 | − | 0.684321i | 0.136381 | − | 0.990656i | \(-0.456453\pi\) |
−0.951924 | + | 0.306335i | \(0.900897\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 5.33778 | + | 1.94279i | 0.272039 | + | 0.0990139i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −0.400552 | − | 0.208494i | −0.0203612 | − | 0.0105983i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 6.54997 | − | 5.49608i | 0.332097 | − | 0.278662i | −0.461457 | − | 0.887163i | \(-0.652673\pi\) |
0.793554 | + | 0.608500i | \(0.208229\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1.19946 | − | 6.80245i | 0.0606591 | − | 0.344015i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 5.35722 | − | 21.8951i | 0.270236 | − | 1.10446i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −3.29281 | + | 5.70331i | −0.165679 | + | 0.286965i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 8.06321 | + | 13.9659i | 0.404681 | + | 0.700928i | 0.994284 | − | 0.106765i | \(-0.0340493\pi\) |
−0.589603 | + | 0.807693i | \(0.700716\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 4.56534 | + | 2.00869i | 0.228553 | + | 0.100560i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −22.8666 | + | 8.32277i | −1.14190 | + | 0.415619i | −0.842601 | − | 0.538539i | \(-0.818977\pi\) |
−0.299304 | + | 0.954158i | \(0.596754\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −6.94043 | − | 39.3611i | −0.345727 | − | 1.96072i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −32.2363 | + | 2.82292i | −1.60183 | + | 0.140272i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 1.77106 | + | 10.0442i | 0.0877884 | + | 0.497873i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −14.7027 | + | 5.35134i | −0.727000 | + | 0.264607i | −0.678895 | − | 0.734236i | \(-0.737541\pi\) |
−0.0481058 | + | 0.998842i | \(0.515318\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −11.4180 | − | 5.02378i | −0.563210 | − | 0.247805i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −2.82755 | − | 4.89747i | −0.139135 | − | 0.240989i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −17.4374 | + | 30.2024i | −0.855966 | + | 1.48258i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 7.63433 | − | 31.2016i | 0.373855 | − | 1.52795i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −0.650367 | + | 3.68842i | −0.0317725 | + | 0.180191i | −0.996564 | − | 0.0828245i | \(-0.973606\pi\) |
0.964792 | + | 0.263015i | \(0.0847170\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −7.32303 | + | 6.14475i | −0.356902 | + | 0.299477i | −0.803555 | − | 0.595231i | \(-0.797061\pi\) |
0.446652 | + | 0.894708i | \(0.352616\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −1.35910 | − | 31.1000i | −0.0660819 | − | 1.51213i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 7.84432 | + | 2.85510i | 0.380505 | + | 0.138493i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −9.41350 | − | 7.89886i | −0.455551 | − | 0.382253i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 12.5833 | + | 0.824502i | 0.607529 | + | 0.0398073i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −2.34947 | −0.113170 | −0.0565850 | − | 0.998398i | \(-0.518021\pi\) | ||||
−0.0565850 | + | 0.998398i | \(0.518021\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −10.7070 | −0.514546 | −0.257273 | − | 0.966339i | \(-0.582824\pi\) | ||||
−0.257273 | + | 0.966339i | \(0.582824\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 21.8263 | + | 44.2571i | 1.04649 | + | 2.12196i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 10.5811 | + | 8.87860i | 0.506163 | + | 0.424721i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −10.8979 | − | 3.96651i | −0.520128 | − | 0.189311i | 0.0685970 | − | 0.997644i | \(-0.478148\pi\) |
−0.588725 | + | 0.808333i | \(0.700370\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −4.62700 | + | 14.6770i | −0.220333 | + | 0.698905i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −10.8382 | + | 9.09433i | −0.514938 | + | 0.432085i | −0.862863 | − | 0.505438i | \(-0.831331\pi\) |
0.347925 | + | 0.937523i | \(0.386887\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 3.92715 | − | 22.2720i | 0.186165 | − | 1.05579i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 0.0287626 | + | 0.0275331i | 0.00136043 | + | 0.00130227i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 3.34568 | − | 5.79489i | 0.157893 | − | 0.273478i | −0.776216 | − | 0.630467i | \(-0.782863\pi\) |
0.934109 | + | 0.356989i | \(0.116197\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 1.49079 | + | 2.58213i | 0.0701987 | + | 0.121588i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 3.36655 | + | 30.7340i | 0.158174 | + | 1.44401i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 29.1214 | − | 10.5993i | 1.36523 | − | 0.496903i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −6.15555 | − | 34.9099i | −0.287945 | − | 1.63301i | −0.694574 | − | 0.719422i | \(-0.744407\pi\) |
0.406629 | − | 0.913593i | \(-0.366704\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 3.60732 | − | 4.11386i | 0.168375 | − | 0.192019i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −5.57477 | − | 31.6161i | −0.259643 | − | 1.47251i | −0.783868 | − | 0.620928i | \(-0.786756\pi\) |
0.524225 | − | 0.851580i | \(-0.324355\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 27.5952 | − | 10.0438i | 1.28246 | − | 0.466776i | 0.391212 | − | 0.920300i | \(-0.372056\pi\) |
0.891244 | + | 0.453525i | \(0.149834\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 31.8492 | − | 23.3538i | 1.47697 | − | 1.08301i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −0.922653 | − | 1.59808i | −0.0426953 | − | 0.0739504i | 0.843888 | − | 0.536519i | \(-0.180261\pi\) |
−0.886583 | + | 0.462569i | \(0.846928\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −7.05692 | + | 12.2229i | −0.325858 | + | 0.564403i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −9.82581 | + | 2.86418i | −0.452749 | + | 0.131974i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −0.0301945 | + | 0.171241i | −0.00138834 | + | 0.00787369i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −12.7875 | + | 10.7300i | −0.586732 | + | 0.492327i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −2.40366 | − | 5.80228i | −0.110056 | − | 0.265668i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 6.85289 | + | 2.49425i | 0.313116 | + | 0.113965i | 0.493798 | − | 0.869577i | \(-0.335608\pi\) |
−0.180682 | + | 0.983542i | \(0.557830\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 42.6254 | + | 35.7670i | 1.94355 | + | 1.63083i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 8.63251 | − | 12.9200i | 0.392793 | − | 0.587881i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −48.8837 | −2.21969 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −13.6636 | −0.619157 | −0.309579 | − | 0.950874i | \(-0.600188\pi\) | ||||
−0.309579 | + | 0.950874i | \(0.600188\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 7.30211 | − | 10.9289i | 0.330213 | − | 0.494220i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −23.5527 | − | 19.7631i | −1.06292 | − | 0.891896i | −0.0685276 | − | 0.997649i | \(-0.521830\pi\) |
−0.994392 | + | 0.105753i | \(0.966275\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −7.84042 | − | 2.85368i | −0.353115 | − | 0.128523i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 4.76894 | + | 11.5119i | 0.214348 | + | 0.517423i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −16.8869 | + | 14.1698i | −0.757480 | + | 0.635601i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −1.39459 | + | 7.90910i | −0.0624303 | + | 0.354060i | 0.937550 | + | 0.347849i | \(0.113088\pi\) |
−0.999981 | + | 0.00621041i | \(0.998023\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −10.2435 | + | 2.98593i | −0.457646 | + | 0.133402i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 1.93019 | − | 3.34319i | 0.0860629 | − | 0.149065i | −0.819781 | − | 0.572677i | \(-0.805905\pi\) |
0.905844 | + | 0.423612i | \(0.139238\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −10.3632 | − | 17.9496i | −0.461157 | − | 0.798747i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 37.3229 | − | 27.3674i | 1.65757 | − | 1.21543i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −14.4450 | + | 5.25756i | −0.640264 | + | 0.233037i | −0.641693 | − | 0.766962i | \(-0.721768\pi\) |
0.00142837 | + | 0.999999i | \(0.499545\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −0.778056 | − | 4.41257i | −0.0344192 | − | 0.195201i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 3.51756 | + | 10.3603i | 0.155304 | + | 0.457420i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −8.36984 | − | 47.4677i | −0.368819 | − | 2.09168i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −11.2641 | + | 4.09979i | −0.495394 | + | 0.180309i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0.411457 | + | 3.75629i | 0.0180609 | + | 0.164883i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −3.15663 | − | 5.46745i | −0.138295 | − | 0.239533i | 0.788557 | − | 0.614962i | \(-0.210829\pi\) |
−0.926851 | + | 0.375429i | \(0.877495\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 17.3108 | − | 29.9832i | 0.756948 | − | 1.31107i | −0.187452 | − | 0.982274i | \(-0.560023\pi\) |
0.944400 | − | 0.328798i | \(-0.106644\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 13.5654 | + | 12.9855i | 0.592041 | + | 0.566733i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −1.15957 | + | 6.57626i | −0.0505118 | + | 0.286467i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 15.3452 | − | 12.8761i | 0.667181 | − | 0.559831i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 3.72986 | − | 11.8313i | 0.161862 | − | 0.513433i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 15.2856 | + | 5.56352i | 0.662095 | + | 0.240983i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −10.9574 | − | 9.19435i | −0.473730 | − | 0.397507i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −4.46969 | − | 9.06318i | −0.192881 | − | 0.391105i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 5.92582 | 0.255243 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 42.2320 | 1.81570 | 0.907849 | − | 0.419298i | \(-0.137724\pi\) | ||||
0.907849 | + | 0.419298i | \(0.137724\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 7.23480 | + | 0.474048i | 0.310475 | + | 0.0203433i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −26.8372 | − | 22.5191i | −1.14958 | − | 0.964612i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −20.4133 | − | 7.42984i | −0.872811 | − | 0.317677i | −0.133506 | − | 0.991048i | \(-0.542624\pi\) |
−0.739305 | + | 0.673371i | \(0.764846\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −1.17690 | − | 26.9307i | −0.0502290 | − | 1.14937i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 12.7812 | − | 10.7247i | 0.544497 | − | 0.456887i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.434972 | − | 2.46685i | 0.0184969 | − | 0.104901i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −13.0676 | + | 53.4076i | −0.554690 | + | 2.26703i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −21.7606 | + | 37.6905i | −0.922026 | + | 1.59700i | −0.125750 | + | 0.992062i | \(0.540134\pi\) |
−0.796276 | + | 0.604934i | \(0.793200\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0.474327 | + | 0.821559i | 0.0200619 | + | 0.0347482i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −1.92846 | − | 0.848496i | −0.0814196 | − | 0.0358235i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 2.00604 | − | 0.730139i | 0.0845445 | − | 0.0307717i | −0.299402 | − | 0.954127i | \(-0.596787\pi\) |
0.383946 | + | 0.923355i | \(0.374565\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −0.652158 | − | 3.69857i | −0.0274365 | − | 0.155600i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 11.1547 | − | 5.20262i | 0.468454 | − | 0.218489i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −4.73401 | − | 26.8479i | −0.198460 | − | 1.12552i | −0.907405 | − | 0.420258i | \(-0.861940\pi\) |
0.708945 | − | 0.705264i | \(-0.249172\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −14.5274 | + | 5.28756i | −0.607955 | + | 0.221277i | −0.627608 | − | 0.778529i | \(-0.715966\pi\) |
0.0196535 | + | 0.999807i | \(0.493744\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −2.91163 | − | 1.28108i | −0.121635 | − | 0.0535178i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 26.0024 | + | 45.0375i | 1.08438 | + | 1.87819i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 4.70243 | − | 8.14485i | 0.195765 | − | 0.339074i | −0.751386 | − | 0.659863i | \(-0.770614\pi\) |
0.947151 | + | 0.320788i | \(0.103948\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −5.14442 | + | 21.0253i | −0.213795 | + | 0.873783i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 2.30343 | − | 13.0634i | 0.0955625 | − | 0.541962i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −1.85259 | + | 1.55451i | −0.0767266 | + | 0.0643813i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 60.3016 | + | 31.3879i | 2.49316 | + | 1.29773i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 12.1937 | + | 4.43816i | 0.503290 | + | 0.183182i | 0.581173 | − | 0.813780i | \(-0.302594\pi\) |
−0.0778833 | + | 0.996962i | \(0.524816\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −10.2293 | − | 8.58339i | −0.421490 | − | 0.353672i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −15.8914 | − | 1.04125i | −0.653683 | − | 0.0428315i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 6.25307 | 0.256783 | 0.128391 | − | 0.991724i | \(-0.459019\pi\) | ||||
0.128391 | + | 0.991724i | \(0.459019\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −5.17771 | −0.212265 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 14.2130 | + | 28.8196i | 0.581698 | + | 1.17951i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 35.9278 | + | 30.1470i | 1.46797 | + | 1.23177i | 0.917996 | + | 0.396590i | \(0.129806\pi\) |
0.549973 | + | 0.835183i | \(0.314638\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −0.998722 | − | 0.363505i | −0.0407387 | − | 0.0148277i | 0.321570 | − | 0.946886i | \(-0.395789\pi\) |
−0.362309 | + | 0.932058i | \(0.618012\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −30.2265 | + | 6.70232i | −1.23092 | + | 0.272940i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −26.6220 | + | 22.3385i | −1.08234 | + | 0.908189i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −6.28614 | + | 35.6505i | −0.255146 | + | 1.44701i | 0.540550 | + | 0.841312i | \(0.318216\pi\) |
−0.795697 | + | 0.605695i | \(0.792895\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −13.5586 | − | 12.9790i | −0.549423 | − | 0.525937i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −32.6987 | + | 56.6359i | −1.32285 | + | 2.29124i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 21.0552 | + | 36.4686i | 0.850410 | + | 1.47295i | 0.880839 | + | 0.473416i | \(0.156979\pi\) |
−0.0304291 | + | 0.999537i | \(0.509687\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 1.75020 | + | 15.9780i | 0.0705748 | + | 0.644295i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −44.7894 | + | 16.3020i | −1.80315 | + | 0.656295i | −0.805156 | + | 0.593064i | \(0.797918\pi\) |
−0.997999 | + | 0.0632309i | \(0.979860\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −2.56293 | − | 14.5351i | −0.103013 | − | 0.584215i | −0.991995 | − | 0.126274i | \(-0.959698\pi\) |
0.888983 | − | 0.457941i | \(-0.151413\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 33.6890 | − | 5.18730i | 1.35189 | − | 0.208159i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 1.49373 | + | 8.47137i | 0.0598450 | + | 0.339398i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 1.68164 | − | 0.612067i | 0.0672656 | − | 0.0244827i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 3.39757 | − | 2.49131i | 0.135686 | − | 0.0994933i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −4.64833 | − | 8.05114i | −0.185341 | − | 0.321020i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 18.6252 | − | 32.2599i | 0.741459 | − | 1.28425i | −0.210371 | − | 0.977622i | \(-0.567467\pi\) |
0.951831 | − | 0.306624i | \(-0.0991993\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −16.5043 | + | 4.81093i | −0.655988 | + | 0.191217i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −1.73881 | + | 9.86128i | −0.0690025 | + | 0.391333i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 24.7659 | − | 20.7810i | 0.981259 | − | 0.823374i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −47.9436 | − | 6.30994i | −1.89662 | − | 0.249617i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 45.8575 | + | 16.6908i | 1.81126 | + | 0.659246i | 0.996881 | + | 0.0789177i | \(0.0251464\pi\) |
0.814383 | + | 0.580328i | \(0.197076\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 0.984817 | + | 0.826360i | 0.0388374 | + | 0.0325885i | 0.662000 | − | 0.749504i | \(-0.269708\pi\) |
−0.623162 | + | 0.782093i | \(0.714152\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −0.520772 | + | 0.779425i | −0.0205054 | + | 0.0306898i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −24.4378 | −0.960747 | −0.480374 | − | 0.877064i | \(-0.659499\pi\) | ||||
−0.480374 | + | 0.877064i | \(0.659499\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −4.77685 | −0.187508 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −8.34548 | + | 12.4904i | −0.327085 | + | 0.489539i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 25.2867 | + | 21.2180i | 0.989544 | + | 0.830326i | 0.985502 | − | 0.169666i | \(-0.0542687\pi\) |
0.00404267 | + | 0.999992i | \(0.498713\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −43.9702 | − | 16.0038i | −1.71806 | − | 0.625322i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 5.98315 | − | 7.79804i | 0.233425 | − | 0.304230i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −3.49546 | + | 2.93304i | −0.136164 | + | 0.114255i | −0.708326 | − | 0.705886i | \(-0.750549\pi\) |
0.572162 | + | 0.820141i | \(0.306105\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 5.98676 | − | 33.9526i | 0.232858 | − | 1.32060i | −0.614220 | − | 0.789135i | \(-0.710529\pi\) |
0.847078 | − | 0.531469i | \(-0.178360\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −11.0352 | + | 3.21670i | −0.428571 | + | 0.124926i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 5.17691 | − | 8.96667i | 0.200752 | − | 0.347713i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −25.9895 | − | 45.0152i | −1.00632 | − | 1.74299i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 29.0663 | − | 21.3132i | 1.12377 | − | 0.824017i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −9.75402 | + | 3.55017i | −0.376550 | + | 0.137053i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 1.90947 | + | 10.8291i | 0.0736046 | + | 0.417432i | 0.999239 | + | 0.0390127i | \(0.0124213\pi\) |
−0.925634 | + | 0.378420i | \(0.876468\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −0.896160 | + | 41.1840i | −0.0344932 | + | 1.58517i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 0.632906 | + | 3.58939i | 0.0243246 | + | 0.137951i | 0.994552 | − | 0.104246i | \(-0.0332429\pi\) |
−0.970227 | + | 0.242197i | \(0.922132\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 17.4721 | − | 6.35932i | 0.670517 | − | 0.244048i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 5.19219 | + | 47.4007i | 0.198965 | + | 1.81640i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −16.1778 | − | 28.0208i | −0.619027 | − | 1.07219i | −0.989664 | − | 0.143408i | \(-0.954194\pi\) |
0.370637 | − | 0.928778i | \(-0.379139\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −12.9476 | + | 22.4259i | −0.494702 | + | 0.856849i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 13.5215 | + | 12.9435i | 0.515877 | + | 0.493825i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −2.29112 | + | 12.9936i | −0.0872846 | + | 0.495016i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 3.13390 | − | 2.62966i | 0.119219 | − | 0.100037i | −0.581229 | − | 0.813740i | \(-0.697428\pi\) |
0.700448 | + | 0.713703i | \(0.252983\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −3.20212 | − | 3.49422i | −0.121638 | − | 0.132734i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −62.6599 | − | 22.8063i | −2.37682 | − | 0.865093i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −2.08192 | − | 1.74694i | −0.0788583 | − | 0.0661699i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 0.344434 | + | 0.698407i | 0.0130277 | + | 0.0264162i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −38.5416 | −1.45570 | −0.727848 | − | 0.685738i | \(-0.759479\pi\) | ||||
−0.727848 | + | 0.685738i | \(0.759479\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 18.5905 | 0.701152 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −64.4829 | − | 4.22514i | −2.42857 | − | 0.159128i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 6.03912 | + | 5.06742i | 0.227124 | + | 0.190580i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 16.7950 | + | 6.11287i | 0.630748 | + | 0.229573i | 0.637557 | − | 0.770403i | \(-0.279945\pi\) |
−0.00680885 | + | 0.999977i | \(0.502167\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 4.63419 | − | 2.95257i | 0.173796 | − | 0.110730i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −31.8681 | + | 26.7405i | −1.19347 | + | 1.00144i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 4.54566 | − | 25.7797i | 0.169998 | − | 0.964107i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 8.45957 | − | 34.5744i | 0.315928 | − | 1.29121i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 19.5493 | − | 33.8605i | 0.729068 | − | 1.26278i | −0.228210 | − | 0.973612i | \(-0.573287\pi\) |
0.957278 | − | 0.289170i | \(-0.0933793\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 9.16668 | + | 15.8771i | 0.341385 | + | 0.591296i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 17.1729 | + | 7.55583i | 0.638666 | + | 0.281004i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 59.0296 | − | 21.4850i | 2.19230 | − | 0.797933i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 7.53322 | + | 42.7230i | 0.279392 | + | 1.58451i | 0.724657 | + | 0.689110i | \(0.241998\pi\) |
−0.445265 | + | 0.895399i | \(0.646891\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 24.9460 | + | 10.3295i | 0.923926 | + | 0.382572i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −0.0275226 | − | 0.156089i | −0.00101796 | − | 0.00577314i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 25.1160 | − | 9.14149i | 0.927682 | − | 0.337649i | 0.166392 | − | 0.986060i | \(-0.446788\pi\) |
0.761291 | + | 0.648411i | \(0.224566\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 29.2406 | + | 12.8655i | 1.07856 | + | 0.474550i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 5.96096 | + | 10.3247i | 0.219575 | + | 0.380314i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −1.78346 | + | 3.08905i | −0.0656057 | + | 0.113632i | −0.896963 | − | 0.442107i | \(-0.854231\pi\) |
0.831357 | + | 0.555739i | \(0.187565\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 5.46285 | − | 22.3268i | 0.200683 | − | 0.820194i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 1.46549 | − | 8.31121i | 0.0537636 | − | 0.304909i | −0.946054 | − | 0.324009i | \(-0.894969\pi\) |
0.999818 | + | 0.0191006i | \(0.00608026\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0.0633168 | − | 0.0531291i | 0.00231975 | − | 0.00194650i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 24.5408 | − | 15.6356i | 0.897900 | − | 0.572076i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 5.11251 | + | 1.86080i | 0.186807 | + | 0.0679922i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 1.64825 | + | 1.38305i | 0.0601456 | + | 0.0504682i | 0.672365 | − | 0.740220i | \(-0.265279\pi\) |
−0.612219 | + | 0.790688i | \(0.709723\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 19.0119 | + | 1.24573i | 0.692834 | + | 0.0453968i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 64.1816 | 2.33581 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −11.3432 | −0.412274 | −0.206137 | − | 0.978523i | \(-0.566089\pi\) | ||||
−0.206137 | + | 0.978523i | \(0.566089\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −5.80545 | − | 11.7717i | −0.210724 | − | 0.427285i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −31.4102 | − | 26.3563i | −1.13862 | − | 0.955414i | −0.139225 | − | 0.990261i | \(-0.544461\pi\) |
−0.999393 | + | 0.0348469i | \(0.988906\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 12.5217 | + | 4.55754i | 0.453317 | + | 0.164994i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −7.67370 | − | 8.37370i | −0.277443 | − | 0.302752i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −19.9639 | + | 16.7517i | −0.720856 | + | 0.604870i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −3.89632 | + | 22.0971i | −0.140505 | + | 0.796843i | 0.830362 | + | 0.557224i | \(0.188134\pi\) |
−0.970867 | + | 0.239619i | \(0.922978\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 20.5038 | + | 19.6273i | 0.738425 | + | 0.706860i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 20.4321 | − | 35.3895i | 0.734893 | − | 1.27287i | −0.219878 | − | 0.975527i | \(-0.570566\pi\) |
0.954770 | − | 0.297344i | \(-0.0961008\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −25.1378 | − | 43.5400i | −0.902978 | − | 1.56400i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −2.27719 | − | 20.7890i | −0.0816937 | − | 0.745802i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 5.10692 | − | 1.85877i | 0.182974 | − | 0.0665972i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 3.23345 | + | 18.3378i | 0.115702 | + | 0.656179i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 0.895715 | − | 41.1636i | 0.0320102 | − | 1.47107i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 3.68933 | + | 20.9233i | 0.131678 | + | 0.746783i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −45.4984 | + | 16.5601i | −1.62184 | + | 0.590302i | −0.983732 | − | 0.179643i | \(-0.942506\pi\) |
−0.638110 | + | 0.769945i | \(0.720283\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 10.5824 | − | 7.75968i | 0.376744 | − | 0.276252i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 0.714245 | + | 1.23711i | 0.0253956 | + | 0.0439865i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −28.3151 | + | 49.0433i | −1.00550 | + | 1.74158i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −12.5165 | + | 3.64850i | −0.443914 | + | 0.129399i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −7.44962 | + | 42.2489i | −0.263879 | + | 1.49653i | 0.508329 | + | 0.861163i | \(0.330263\pi\) |
−0.772208 | + | 0.635369i | \(0.780848\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 8.37002 | − | 7.02328i | 0.296110 | − | 0.248466i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −11.4866 | + | 14.9709i | −0.405859 | + | 0.528970i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −3.55654 | − | 1.29447i | −0.125507 | − | 0.0456810i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −24.7096 | − | 20.7338i | −0.870899 | − | 0.730771i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −1.67193 | + | 2.50233i | −0.0588548 | + | 0.0880862i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 4.16656 | 0.146488 | 0.0732441 | − | 0.997314i | \(-0.476665\pi\) | ||||
0.0732441 | + | 0.997314i | \(0.476665\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 26.9727 | 0.947141 | 0.473570 | − | 0.880756i | \(-0.342965\pi\) | ||||
0.473570 | + | 0.880756i | \(0.342965\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 19.9938 | − | 29.9242i | 0.701214 | − | 1.04949i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −20.9015 | − | 17.5384i | −0.732147 | − | 0.614345i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0.297830 | + | 0.108401i | 0.0104198 | + | 0.00379248i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −25.6364 | − | 3.37405i | −0.895807 | − | 0.117899i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 31.7558 | − | 26.6463i | 1.10829 | − | 0.929963i | 0.110332 | − | 0.993895i | \(-0.464809\pi\) |
0.997954 | + | 0.0639322i | \(0.0203641\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 1.08223 | − | 6.13763i | 0.0377241 | − | 0.213944i | −0.960119 | − | 0.279593i | \(-0.909801\pi\) |
0.997843 | + | 0.0656486i | \(0.0209116\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 15.2286 | − | 4.43905i | 0.530191 | − | 0.154548i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 23.8942 | − | 41.3860i | 0.830884 | − | 1.43913i | −0.0664537 | − | 0.997790i | \(-0.521168\pi\) |
0.897338 | − | 0.441344i | \(-0.145498\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −4.50421 | − | 7.80152i | −0.156438 | − | 0.270958i | 0.777144 | − | 0.629323i | \(-0.216668\pi\) |
−0.933582 | + | 0.358365i | \(0.883334\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −3.02564 | + | 2.21859i | −0.104958 | + | 0.0769619i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −5.07571 | + | 1.84741i | −0.175863 | + | 0.0640089i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 3.84617 | + | 21.8127i | 0.133102 | + | 0.754860i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −32.5688 | + | 5.01483i | −1.12574 | + | 0.173338i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 3.76622 | + | 21.3593i | 0.130024 | + | 0.737404i | 0.978196 | + | 0.207683i | \(0.0665923\pi\) |
−0.848172 | + | 0.529721i | \(0.822297\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −31.7492 | + | 11.5557i | −1.09480 | + | 0.398474i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 1.47794 | + | 13.4925i | 0.0509029 | + | 0.464705i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −48.0372 | − | 83.2029i | −1.65253 | − | 2.86227i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 6.60924 | − | 11.4475i | 0.227096 | − | 0.393342i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −29.6827 | − | 28.4138i | −1.01871 | − | 0.975160i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 10.0571 | − | 57.0365i | 0.344752 | − | 1.95518i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −14.0169 | + | 11.7615i | −0.479928 | + | 0.402708i | −0.850400 | − | 0.526136i | \(-0.823640\pi\) |
0.370472 | + | 0.928844i | \(0.379196\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 22.1740 | − | 4.91678i | 0.758334 | − | 0.168150i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 0.173374 | + | 0.0631030i | 0.00592235 | + | 0.00215556i | 0.344980 | − | 0.938610i | \(-0.387886\pi\) |
−0.339057 | + | 0.940766i | \(0.610108\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 8.14138 | + | 6.83143i | 0.277780 | + | 0.233085i | 0.771024 | − | 0.636806i | \(-0.219745\pi\) |
−0.493244 | + | 0.869891i | \(0.664189\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −2.70415 | − | 5.48319i | −0.0921571 | − | 0.186867i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −17.7092 | −0.602828 | −0.301414 | − | 0.953493i | \(-0.597459\pi\) | ||||
−0.301414 | + | 0.953493i | \(0.597459\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 7.84421 | 0.266711 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −27.4655 | − | 1.79963i | −0.932778 | − | 0.0611187i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −1.62086 | − | 1.36006i | −0.0549840 | − | 0.0461370i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 61.1199 | + | 22.2458i | 2.07097 | + | 0.753771i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 36.1794 | + | 18.8320i | 1.22449 | + | 0.637366i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 11.0282 | − | 9.25377i | 0.372822 | − | 0.312835i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 3.42889 | − | 19.4462i | 0.115785 | − | 0.656652i | −0.870573 | − | 0.492040i | \(-0.836252\pi\) |
0.986358 | − | 0.164613i | \(-0.0526374\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 3.48239 | − | 14.2326i | 0.117458 | − | 0.480053i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 7.89848 | − | 13.6806i | 0.266107 | − | 0.460910i | −0.701746 | − | 0.712427i | \(-0.747596\pi\) |
0.967853 | + | 0.251517i | \(0.0809294\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −8.12127 | − | 14.0664i | −0.273302 | − | 0.473374i | 0.696403 | − | 0.717651i | \(-0.254783\pi\) |
−0.969705 | + | 0.244277i | \(0.921449\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −23.5711 | − | 10.3710i | −0.792333 | − | 0.348616i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −2.88222 | + | 1.04904i | −0.0967754 | + | 0.0352234i | −0.389954 | − | 0.920834i | \(-0.627509\pi\) |
0.293179 | + | 0.956058i | \(0.405287\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −0.661373 | − | 3.75084i | −0.0221818 | − | 0.125799i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0.905310 | − | 10.3573i | 0.0303290 | − | 0.346983i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 3.79408 | + | 21.5173i | 0.126964 | + | 0.720049i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −19.7125 | + | 7.17475i | −0.658915 | + | 0.239825i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −65.5444 | − | 28.8387i | −2.18846 | − | 0.962895i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 25.1254 | + | 43.5184i | 0.837977 | + | 1.45142i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 1.10220 | − | 1.90906i | 0.0367195 | − | 0.0636000i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0.0847393 | − | 0.346331i | 0.00281995 | − | 0.0115252i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 2.61353 | − | 14.8221i | 0.0868767 | − | 0.492702i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −30.2392 | + | 25.3737i | −1.00408 | + | 0.842521i | −0.987544 | − | 0.157342i | \(-0.949707\pi\) |
−0.0165334 | + | 0.999863i | \(0.505263\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 0.755027 | + | 17.2771i | 0.0250427 | + | 0.573044i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −22.1938 | − | 8.07787i | −0.735312 | − | 0.267632i | −0.0529007 | − | 0.998600i | \(-0.516847\pi\) |
−0.682412 | + | 0.730968i | \(0.739069\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −8.58342 | − | 7.20234i | −0.284070 | − | 0.238363i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −55.8383 | − | 3.65871i | −1.84596 | − | 0.120953i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 17.7978 | 0.587737 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 12.3646 | 0.407871 | 0.203935 | − | 0.978984i | \(-0.434627\pi\) | ||||
0.203935 | + | 0.978984i | \(0.434627\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −14.8534 | − | 30.1182i | −0.489435 | − | 0.992427i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 77.8217 | + | 65.3002i | 2.56153 | + | 2.14938i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 65.7722 | + | 23.9391i | 2.16258 | + | 0.787114i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −12.0919 | + | 38.3559i | −0.397149 | + | 1.25977i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −16.8757 | + | 14.1604i | −0.553674 | + | 0.464588i | −0.876183 | − | 0.481979i | \(-0.839918\pi\) |
0.322509 | + | 0.946566i | \(0.395474\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 1.87562 | − | 10.6372i | 0.0614709 | − | 0.348619i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 25.0577 | + | 23.9866i | 0.820353 | + | 0.785285i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −2.18680 | + | 3.78764i | −0.0715159 | + | 0.123869i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −27.4005 | − | 47.4590i | −0.895135 | − | 1.55042i | −0.833638 | − | 0.552311i | \(-0.813746\pi\) |
−0.0614968 | − | 0.998107i | \(-0.519587\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −2.02408 | − | 18.4784i | −0.0660535 | − | 0.603018i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −29.0707 | + | 10.5809i | −0.947679 | + | 0.344927i | −0.769194 | − | 0.639016i | \(-0.779342\pi\) |
−0.178485 | + | 0.983943i | \(0.557120\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −2.94005 | − | 16.6738i | −0.0957411 | − | 0.542975i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −8.21440 | − | 24.1941i | −0.267214 | − | 0.787033i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 2.21582 | + | 12.5665i | 0.0720045 | + | 0.408358i | 0.999411 | + | 0.0343039i | \(0.0109214\pi\) |
−0.927407 | + | 0.374054i | \(0.877967\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −19.4034 | + | 7.06226i | −0.629861 | + | 0.229251i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −33.5450 | + | 24.5973i | −1.08777 | + | 0.797621i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −7.95129 | − | 13.7720i | −0.257567 | − | 0.446120i | 0.708022 | − | 0.706190i | \(-0.249588\pi\) |
−0.965590 | + | 0.260070i | \(0.916254\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −3.30167 | + | 5.71866i | −0.106840 | + | 0.185052i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −15.2210 | + | 4.43685i | −0.492025 | + | 0.143423i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 1.71035 | − | 9.69986i | 0.0552300 | − | 0.313225i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 7.06111 | − | 5.92497i | 0.227778 | − | 0.191128i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 4.56768 | + | 11.0261i | 0.147191 | + | 0.355311i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 42.2236 | + | 15.3681i | 1.35923 | + | 0.494718i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 26.9884 | + | 22.6460i | 0.867889 | + | 0.728245i | 0.963653 | − | 0.267159i | \(-0.0860848\pi\) |
−0.0957634 | + | 0.995404i | \(0.530529\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −2.13348 | + | 3.19312i | −0.0685373 | + | 0.102578i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 30.4217 | 0.976277 | 0.488139 | − | 0.872766i | \(-0.337676\pi\) | ||||
0.488139 | + | 0.872766i | \(0.337676\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 25.3629 | 0.813097 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 48.0778 | − | 71.9566i | 1.53972 | − | 2.30446i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 17.7324 | + | 14.8792i | 0.567309 | + | 0.476029i | 0.880752 | − | 0.473578i | \(-0.157038\pi\) |
−0.313443 | + | 0.949607i | \(0.601482\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 6.82793 | + | 2.48516i | 0.218221 | + | 0.0794261i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 11.1873 | + | 27.0055i | 0.357183 | + | 0.862218i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 5.17653 | − | 4.34362i | 0.165106 | − | 0.138540i | −0.556492 | − | 0.830853i | \(-0.687853\pi\) |
0.721597 | + | 0.692313i | \(0.243408\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −5.74067 | + | 32.5569i | −0.182913 | + | 1.03735i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 23.5972 | − | 6.87848i | 0.751108 | − | 0.218945i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 0.493701 | − | 0.855116i | 0.0156988 | − | 0.0271911i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 13.1604 | + | 22.7945i | 0.418055 | + | 0.724093i | 0.995744 | − | 0.0921645i | \(-0.0293786\pi\) |
−0.577689 | + | 0.816257i | \(0.696045\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −28.4269 | + | 20.8444i | −0.902101 | + | 0.661476i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 62.6828 | − | 22.8147i | 1.98718 | − | 0.723273i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 4.06362 | + | 23.0459i | 0.128696 | + | 0.729872i | 0.979044 | + | 0.203650i | \(0.0652806\pi\) |
−0.850348 | + | 0.526221i | \(0.823608\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 30.2463 | − | 34.4935i | 0.956951 | − | 1.09133i |
(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 | 216.2.q.a.121.2 | yes | 24 | |
3.2 | odd | 2 | 648.2.q.a.577.1 | 24 | |||
4.3 | odd | 2 | 432.2.u.e.337.3 | 24 | |||
27.2 | odd | 18 | 648.2.q.a.73.1 | 24 | |||
27.5 | odd | 18 | 5832.2.a.i.1.1 | 12 | |||
27.22 | even | 9 | 5832.2.a.h.1.12 | 12 | |||
27.25 | even | 9 | inner | 216.2.q.a.25.2 | ✓ | 24 | |
108.79 | odd | 18 | 432.2.u.e.241.3 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
216.2.q.a.25.2 | ✓ | 24 | 27.25 | even | 9 | inner | |
216.2.q.a.121.2 | yes | 24 | 1.1 | even | 1 | trivial | |
432.2.u.e.241.3 | 24 | 108.79 | odd | 18 | |||
432.2.u.e.337.3 | 24 | 4.3 | odd | 2 | |||
648.2.q.a.73.1 | 24 | 27.2 | odd | 18 | |||
648.2.q.a.577.1 | 24 | 3.2 | odd | 2 | |||
5832.2.a.h.1.12 | 12 | 27.22 | even | 9 | |||
5832.2.a.i.1.1 | 12 | 27.5 | odd | 18 |