Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [756,2,Mod(5,756)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(756, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 5, 15]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("756.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 756 = 2^{2} \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 756.ck (of order \(18\), 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: | \(6.03669039281\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 5.15 | ||
Character | \(\chi\) | \(=\) | 756.5 |
Dual form | 756.2.ck.a.605.15 |
$q$-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 \(\left(\mathbb{Z}/756\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{5}{18}\right)\) | \(e\left(\frac{5}{6}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 0.671662 | + | 1.59652i | 0.387784 | + | 0.921750i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.158784 | + | 0.900507i | −0.0710102 | + | 0.402719i | 0.928497 | + | 0.371339i | \(0.121101\pi\) |
−0.999508 | + | 0.0313798i | \(0.990010\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.241705 | − | 2.63469i | −0.0913560 | − | 0.995818i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −2.09774 | + | 2.14464i | −0.699246 | + | 0.714881i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −3.68787 | + | 0.650271i | −1.11193 | + | 0.196064i | −0.699297 | − | 0.714831i | \(-0.746503\pi\) |
−0.412637 | + | 0.910895i | \(0.635392\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.48376 | + | 2.96003i | −0.688872 | + | 0.820965i | −0.991219 | − | 0.132233i | \(-0.957785\pi\) |
0.302347 | + | 0.953198i | \(0.402230\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −1.54432 | + | 0.351336i | −0.398743 | + | 0.0907145i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −6.10539 | −1.48078 | −0.740388 | − | 0.672180i | \(-0.765358\pi\) | ||||
−0.740388 | + | 0.672180i | \(0.765358\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 5.56765i | 1.27731i | 0.769495 | + | 0.638653i | \(0.220508\pi\) | ||||
−0.769495 | + | 0.638653i | \(0.779492\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 4.04398 | − | 2.15551i | 0.882469 | − | 0.470370i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −1.03164 | + | 1.22946i | −0.215113 | + | 0.256361i | −0.862800 | − | 0.505545i | \(-0.831292\pi\) |
0.647688 | + | 0.761906i | \(0.275736\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 3.91276 | + | 1.42413i | 0.782553 | + | 0.284826i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −4.83293 | − | 1.90860i | −0.930098 | − | 0.367311i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 4.21794 | + | 5.02674i | 0.783251 | + | 0.933443i | 0.999076 | − | 0.0429895i | \(-0.0136882\pi\) |
−0.215824 | + | 0.976432i | \(0.569244\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.823531 | − | 2.26263i | −0.147911 | − | 0.406381i | 0.843506 | − | 0.537119i | \(-0.180487\pi\) |
−0.991417 | + | 0.130738i | \(0.958265\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −3.51517 | − | 5.45099i | −0.611913 | − | 0.948895i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 2.41093 | + | 0.200688i | 0.407522 | + | 0.0339225i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.21795 | + | 2.10956i | 0.200230 | + | 0.346809i | 0.948603 | − | 0.316470i | \(-0.102498\pi\) |
−0.748372 | + | 0.663279i | \(0.769164\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −6.39400 | − | 1.97723i | −1.02386 | − | 0.316610i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −4.95635 | − | 4.15887i | −0.774052 | − | 0.649506i | 0.167691 | − | 0.985840i | \(-0.446369\pi\) |
−0.941743 | + | 0.336333i | \(0.890813\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 7.68736 | + | 2.79797i | 1.17231 | + | 0.426686i | 0.853480 | − | 0.521125i | \(-0.174488\pi\) |
0.318831 | + | 0.947812i | \(0.396710\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −1.59818 | − | 2.22956i | −0.238242 | − | 0.332364i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 4.31905 | + | 1.57200i | 0.629998 | + | 0.229300i | 0.637230 | − | 0.770673i | \(-0.280080\pi\) |
−0.00723267 | + | 0.999974i | \(0.502302\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −6.88316 | + | 1.27364i | −0.983308 | + | 0.181948i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −4.10076 | − | 9.74737i | −0.574222 | − | 1.36490i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −9.92435 | + | 5.72983i | −1.36321 | + | 0.787052i | −0.990050 | − | 0.140713i | \(-0.955060\pi\) |
−0.373164 | + | 0.927765i | \(0.621727\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 3.42420i | − | 0.461720i | ||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −8.88885 | + | 3.73958i | −1.17736 | + | 0.495319i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 0.682613 | + | 0.572780i | 0.0888687 | + | 0.0745697i | 0.686140 | − | 0.727470i | \(-0.259304\pi\) |
−0.597271 | + | 0.802039i | \(0.703748\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 4.21480 | − | 11.5801i | 0.539650 | − | 1.48268i | −0.307617 | − | 0.951510i | \(-0.599531\pi\) |
0.847267 | − | 0.531167i | \(-0.178246\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 6.15750 | + | 5.00852i | 0.775772 | + | 0.631014i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −2.27115 | − | 2.70665i | −0.281701 | − | 0.335719i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 2.26341 | − | 12.8364i | 0.276520 | − | 1.56822i | −0.457574 | − | 0.889172i | \(-0.651281\pi\) |
0.734093 | − | 0.679049i | \(-0.237607\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −2.65578 | − | 0.821252i | −0.319718 | − | 0.0988671i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 11.1044 | + | 6.41115i | 1.31785 | + | 0.760864i | 0.983383 | − | 0.181542i | \(-0.0581089\pi\) |
0.334471 | + | 0.942406i | \(0.391442\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −4.20689 | − | 2.42885i | −0.492379 | − | 0.284275i | 0.233182 | − | 0.972433i | \(-0.425086\pi\) |
−0.725561 | + | 0.688158i | \(0.758420\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0.354408 | + | 7.20333i | 0.0409235 | + | 0.831769i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 2.60464 | + | 9.55921i | 0.296826 | + | 1.08937i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −0.979078 | − | 5.55263i | −0.110155 | − | 0.624719i | −0.989036 | − | 0.147678i | \(-0.952820\pi\) |
0.878881 | − | 0.477042i | \(-0.158291\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.198980 | − | 8.99780i | −0.0221089 | − | 0.999756i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −6.26479 | + | 5.25678i | −0.687650 | + | 0.577006i | −0.918230 | − | 0.396047i | \(-0.870382\pi\) |
0.230581 | + | 0.973053i | \(0.425937\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.969437 | − | 5.49795i | 0.105150 | − | 0.596336i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −5.19226 | + | 10.1103i | −0.556668 | + | 1.08394i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 4.08655 | 0.433174 | 0.216587 | − | 0.976263i | \(-0.430508\pi\) | ||||
0.216587 | + | 0.976263i | \(0.430508\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 8.39910 | + | 5.82848i | 0.880465 | + | 0.610991i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 3.05920 | − | 2.83451i | 0.317224 | − | 0.293925i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −5.01371 | − | 0.884052i | −0.514395 | − | 0.0907018i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −4.13766 | + | 11.3681i | −0.420115 | + | 1.15426i | 0.531525 | + | 0.847043i | \(0.321619\pi\) |
−0.951640 | + | 0.307215i | \(0.900603\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 6.34159 | − | 9.27326i | 0.637354 | − | 0.931998i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −2.27509 | + | 1.90902i | −0.226380 | + | 0.189955i | −0.748922 | − | 0.662658i | \(-0.769428\pi\) |
0.522542 | + | 0.852613i | \(0.324984\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 8.96723 | + | 1.58117i | 0.883568 | + | 0.155797i | 0.596979 | − | 0.802257i | \(-0.296368\pi\) |
0.286589 | + | 0.958054i | \(0.407479\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 1.29893 | + | 3.98389i | 0.126763 | + | 0.388788i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 12.5146 | + | 7.22532i | 1.20983 | + | 0.698498i | 0.962723 | − | 0.270489i | \(-0.0871855\pi\) |
0.247111 | + | 0.968987i | \(0.420519\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 4.51287 | + | 7.81653i | 0.432255 | + | 0.748688i | 0.997067 | − | 0.0765319i | \(-0.0243847\pi\) |
−0.564812 | + | 0.825220i | \(0.691051\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −2.54989 | + | 3.36139i | −0.242025 | + | 0.319049i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −3.84867 | − | 10.5741i | −0.362053 | − | 0.994732i | −0.978303 | − | 0.207181i | \(-0.933571\pi\) |
0.616250 | − | 0.787551i | \(-0.288651\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.943333 | − | 1.12422i | −0.0879663 | − | 0.104834i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −1.13793 | − | 11.5362i | −0.105201 | − | 1.06652i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 1.47571 | + | 16.0858i | 0.135278 | + | 1.47458i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 2.84091 | − | 1.03401i | 0.258264 | − | 0.0940005i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 3.31072 | − | 10.7063i | 0.298517 | − | 0.965351i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −4.18972 | + | 7.25680i | −0.374740 | + | 0.649068i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 1.76290 | + | 3.05343i | 0.156432 | + | 0.270948i | 0.933579 | − | 0.358370i | \(-0.116668\pi\) |
−0.777148 | + | 0.629318i | \(0.783334\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0.696301 | + | 14.1523i | 0.0613059 | + | 1.24604i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −8.87289 | − | 7.44524i | −0.775228 | − | 0.650493i | 0.166814 | − | 0.985988i | \(-0.446652\pi\) |
−0.942042 | + | 0.335495i | \(0.891096\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 14.6690 | − | 1.34573i | 1.27196 | − | 0.116690i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 2.48610 | − | 4.04903i | 0.213969 | − | 0.348485i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 1.59066 | − | 4.37031i | 0.135899 | − | 0.373381i | −0.853011 | − | 0.521893i | \(-0.825226\pi\) |
0.988911 | + | 0.148512i | \(0.0474484\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 20.6952 | + | 3.64913i | 1.75535 | + | 0.309515i | 0.956438 | − | 0.291935i | \(-0.0942992\pi\) |
0.798910 | + | 0.601450i | \(0.205410\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0.391208 | + | 7.95129i | 0.0329457 | + | 0.669619i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 7.23497 | − | 12.5313i | 0.605018 | − | 1.04792i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −5.19636 | + | 3.00012i | −0.431534 | + | 0.249146i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −6.65654 | − | 10.1336i | −0.549022 | − | 0.835808i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 4.58792 | + | 12.6052i | 0.375857 | + | 1.03266i | 0.973057 | + | 0.230566i | \(0.0740576\pi\) |
−0.597200 | + | 0.802092i | \(0.703720\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −1.81633 | − | 10.3009i | −0.147811 | − | 0.838279i | −0.965067 | − | 0.262004i | \(-0.915617\pi\) |
0.817256 | − | 0.576275i | \(-0.195494\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 12.8075 | − | 13.0939i | 1.03543 | − | 1.05858i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 2.16828 | − | 0.382326i | 0.174160 | − | 0.0307092i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −12.7728 | + | 15.2220i | −1.01938 | + | 1.21485i | −0.0429337 | + | 0.999078i | \(0.513670\pi\) |
−0.976444 | + | 0.215770i | \(0.930774\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −15.8136 | − | 11.9959i | −1.25410 | − | 0.951336i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 3.48861 | + | 2.42089i | 0.274941 | + | 0.190793i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 7.01252 | − | 12.1460i | 0.549263 | − | 0.951352i | −0.449062 | − | 0.893501i | \(-0.648242\pi\) |
0.998325 | − | 0.0578512i | \(-0.0184249\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 5.46680 | − | 2.29991i | 0.425590 | − | 0.179048i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −2.12777 | + | 0.774444i | −0.164652 | + | 0.0599283i | −0.423031 | − | 0.906115i | \(-0.639034\pi\) |
0.258379 | + | 0.966044i | \(0.416812\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −0.335292 | − | 1.90154i | −0.0257917 | − | 0.146272i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −11.9406 | − | 11.6795i | −0.913121 | − | 0.893152i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −19.4358 | + | 16.3086i | −1.47768 | + | 1.23992i | −0.569057 | + | 0.822298i | \(0.692692\pi\) |
−0.908621 | + | 0.417621i | \(0.862864\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 2.80640 | − | 10.6531i | 0.212144 | − | 0.805301i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −0.455969 | + | 1.47452i | −0.0342727 | + | 0.110832i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 4.35026i | 0.325154i | 0.986696 | + | 0.162577i | \(0.0519805\pi\) | ||||
−0.986696 | + | 0.162577i | \(0.948019\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −2.32397 | + | 1.34175i | −0.172740 | + | 0.0997313i | −0.583877 | − | 0.811842i | \(-0.698465\pi\) |
0.411137 | + | 0.911573i | \(0.365132\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 21.3187 | − | 1.04889i | 1.57593 | − | 0.0775364i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −2.09306 | + | 0.761812i | −0.153885 | + | 0.0560095i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 22.5159 | − | 3.97016i | 1.64653 | − | 0.290327i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −3.86043 | + | 13.1946i | −0.280805 | + | 0.959765i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −16.2247 | + | 2.86085i | −1.17398 | + | 0.207004i | −0.726419 | − | 0.687252i | \(-0.758817\pi\) |
−0.447557 | + | 0.894256i | \(0.647706\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −9.52163 | + | 3.46559i | −0.685382 | + | 0.249459i | −0.661157 | − | 0.750248i | \(-0.729934\pi\) |
−0.0242252 | + | 0.999707i | \(0.507712\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 2.79577 | − | 5.44389i | 0.200209 | − | 0.389845i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 23.3394 | − | 13.4750i | 1.66286 | − | 0.960054i | 0.691524 | − | 0.722353i | \(-0.256939\pi\) |
0.971338 | − | 0.237701i | \(-0.0763939\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 12.5565i | 0.890107i | 0.895504 | + | 0.445053i | \(0.146815\pi\) | ||||
−0.895504 | + | 0.445053i | \(0.853185\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 22.0138 | − | 5.00818i | 1.55274 | − | 0.353250i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 12.2244 | − | 12.3279i | 0.857985 | − | 0.865252i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 4.53208 | − | 3.80287i | 0.316534 | − | 0.265604i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −0.472643 | − | 4.79160i | −0.0328510 | − | 0.333039i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −3.62048 | − | 20.5328i | −0.250434 | − | 1.42028i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 4.63971 | − | 1.68871i | 0.319411 | − | 0.116256i | −0.177339 | − | 0.984150i | \(-0.556749\pi\) |
0.496750 | + | 0.867894i | \(0.334527\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −2.77708 | + | 22.0346i | −0.190283 | + | 1.50978i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −3.74022 | + | 6.47825i | −0.255081 | + | 0.441813i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −5.76228 | + | 2.71664i | −0.391169 | + | 0.184417i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 1.05209 | − | 8.34775i | 0.0710938 | − | 0.564088i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 15.1643 | − | 18.0722i | 1.02006 | − | 1.21567i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 12.8650 | − | 2.26844i | 0.861502 | − | 0.151906i | 0.274595 | − | 0.961560i | \(-0.411456\pi\) |
0.586908 | + | 0.809654i | \(0.300345\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −11.2622 | + | 5.40402i | −0.750814 | + | 0.360268i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 2.66067 | + | 15.0894i | 0.176595 | + | 1.00152i | 0.936287 | + | 0.351237i | \(0.114239\pi\) |
−0.759692 | + | 0.650284i | \(0.774650\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 3.17798 | + | 8.73143i | 0.210007 | + | 0.576989i | 0.999315 | − | 0.0370081i | \(-0.0117827\pi\) |
−0.789308 | + | 0.613997i | \(0.789561\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −13.5120 | + | 10.5789i | −0.889025 | + | 0.696041i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 8.13366 | − | 4.69597i | 0.532854 | − | 0.307643i | −0.209324 | − | 0.977846i | \(-0.567126\pi\) |
0.742178 | + | 0.670203i | \(0.233793\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −2.10139 | + | 3.63972i | −0.137080 | + | 0.237429i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 8.20726 | − | 5.29261i | 0.533119 | − | 0.343792i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −8.59351 | − | 1.51527i | −0.555868 | − | 0.0980145i | −0.111345 | − | 0.993782i | \(-0.535516\pi\) |
−0.444523 | + | 0.895767i | \(0.646627\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −1.93208 | + | 5.30834i | −0.124456 | + | 0.341940i | −0.986236 | − | 0.165342i | \(-0.947127\pi\) |
0.861780 | + | 0.507282i | \(0.169350\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 14.2315 | − | 6.36116i | 0.912951 | − | 0.408069i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −0.0539848 | − | 6.40056i | −0.00344896 | − | 0.408917i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −16.4804 | − | 13.8287i | −1.04862 | − | 0.879900i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −12.6004 | − | 6.47106i | −0.798516 | − | 0.410087i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 0.593298 | + | 1.02762i | 0.0374487 | + | 0.0648630i | 0.884142 | − | 0.467218i | \(-0.154744\pi\) |
−0.846694 | + | 0.532081i | \(0.821410\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 3.00508 | − | 5.20495i | 0.188928 | − | 0.327233i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 9.42871 | − | 2.14504i | 0.590449 | − | 0.134328i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 11.3769 | − | 4.14085i | 0.709672 | − | 0.258299i | 0.0381371 | − | 0.999273i | \(-0.487858\pi\) |
0.671535 | + | 0.740973i | \(0.265635\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 5.26363 | − | 3.71882i | 0.327066 | − | 0.231076i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −19.6287 | − | 1.49883i | −1.21499 | − | 0.0927751i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −0.921965 | − | 1.09875i | −0.0568508 | − | 0.0677521i | 0.736870 | − | 0.676035i | \(-0.236303\pi\) |
−0.793720 | + | 0.608283i | \(0.791859\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −3.58392 | − | 9.84675i | −0.220159 | − | 0.604881i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 2.74478 | + | 6.52425i | 0.167978 | + | 0.399278i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 5.22031 | + | 9.04184i | 0.318288 | + | 0.551291i | 0.980131 | − | 0.198352i | \(-0.0635588\pi\) |
−0.661843 | + | 0.749642i | \(0.730225\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 11.2170 | + | 6.47615i | 0.681386 | + | 0.393398i | 0.800377 | − | 0.599497i | \(-0.204633\pi\) |
−0.118991 | + | 0.992895i | \(0.537966\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −3.66392 | + | 17.3241i | −0.221750 | + | 1.04850i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −15.3558 | − | 2.70765i | −0.925991 | − | 0.163277i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −15.4923 | + | 12.9996i | −0.930842 | + | 0.781069i | −0.975968 | − | 0.217912i | \(-0.930075\pi\) |
0.0451263 | + | 0.998981i | \(0.485631\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 6.58009 | + | 2.98024i | 0.393940 | + | 0.178422i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −9.35867 | + | 25.7127i | −0.558291 | + | 1.53389i | 0.263824 | + | 0.964571i | \(0.415016\pi\) |
−0.822115 | + | 0.569322i | \(0.807206\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −21.6032 | − | 3.80923i | −1.28418 | − | 0.226435i | −0.510426 | − | 0.859922i | \(-0.670512\pi\) |
−0.773754 | + | 0.633486i | \(0.781623\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −1.95611 | − | 8.59825i | −0.115870 | − | 0.509317i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −9.75935 | + | 14.0637i | −0.576076 | + | 0.830151i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 20.2758 | 1.19270 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −20.9285 | + | 1.02969i | −1.22685 | + | 0.0603618i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 2.68082 | − | 15.2037i | 0.156615 | − | 0.888209i | −0.800679 | − | 0.599094i | \(-0.795528\pi\) |
0.957294 | − | 0.289116i | \(-0.0933612\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.624181 | + | 0.523750i | −0.0363412 | + | 0.0304939i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 19.0643 | + | 3.89596i | 1.10622 | + | 0.226067i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −1.07690 | − | 6.10740i | −0.0622787 | − | 0.353200i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 5.51370 | − | 20.9301i | 0.317804 | − | 1.20639i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −4.57588 | − | 2.35000i | −0.262877 | − | 0.135004i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 9.75870 | + | 5.63419i | 0.558781 | + | 0.322613i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −22.4632 | − | 12.9691i | −1.28204 | − | 0.740187i | −0.304820 | − | 0.952410i | \(-0.598596\pi\) |
−0.977221 | + | 0.212223i | \(0.931930\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 3.49860 | + | 15.3784i | 0.199028 | + | 0.874844i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −0.161417 | + | 0.915442i | −0.00915313 | + | 0.0519100i | −0.989042 | − | 0.147633i | \(-0.952835\pi\) |
0.979889 | + | 0.199543i | \(0.0639457\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 3.09257 | + | 3.68558i | 0.174802 | + | 0.208321i | 0.846331 | − | 0.532657i | \(-0.178807\pi\) |
−0.671529 | + | 0.740978i | \(0.734362\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −5.48791 | + | 4.74960i | −0.309209 | + | 0.267610i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 4.48170 | − | 12.3134i | 0.251718 | − | 0.691588i | −0.747897 | − | 0.663815i | \(-0.768936\pi\) |
0.999614 | − | 0.0277732i | \(-0.00884162\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −18.8239 | − | 15.7952i | −1.05394 | − | 0.884360i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −3.12975 | + | 24.8328i | −0.174686 | + | 1.38603i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | − | 33.9927i | − | 1.89140i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −13.9338 | + | 8.04471i | −0.772910 | + | 0.446240i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −9.44810 | + | 12.4550i | −0.522481 | + | 0.688761i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 3.09780 | − | 11.7593i | 0.170787 | − | 0.648311i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 17.2491 | + | 6.27817i | 0.948098 | + | 0.345079i | 0.769359 | − | 0.638817i | \(-0.220576\pi\) |
0.178739 | + | 0.983896i | \(0.442798\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −7.07919 | − | 1.81323i | −0.387937 | − | 0.0993641i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 11.1999 | + | 4.07643i | 0.611916 | + | 0.222719i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −19.7150 | − | 16.5428i | −1.07394 | − | 0.901145i | −0.0785390 | − | 0.996911i | \(-0.525026\pi\) |
−0.995404 | + | 0.0957659i | \(0.969470\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 14.2968 | − | 13.2467i | 0.776496 | − | 0.719464i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 4.50840 | + | 7.80878i | 0.244144 | + | 0.422869i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 5.01933 | + | 17.8271i | 0.271018 | + | 0.962574i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 1.16124 | − | 2.26115i | 0.0625189 | − | 0.121736i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −6.60870 | − | 18.1573i | −0.354774 | − | 0.974733i | −0.980815 | − | 0.194942i | \(-0.937548\pi\) |
0.626041 | − | 0.779790i | \(-0.284674\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −5.91691 | − | 7.05150i | −0.316725 | − | 0.377458i | 0.584070 | − | 0.811704i | \(-0.301459\pi\) |
−0.900795 | + | 0.434245i | \(0.857015\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 17.6534 | − | 9.56512i | 0.942268 | − | 0.510548i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −24.3476 | − | 8.86179i | −1.29589 | − | 0.471666i | −0.400234 | − | 0.916413i | \(-0.631071\pi\) |
−0.895656 | + | 0.444747i | \(0.853293\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −7.53649 | + | 8.98164i | −0.399995 | + | 0.476696i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −24.6901 | + | 13.1602i | −1.30674 | + | 0.696513i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 21.7705i | 1.14901i | 0.818503 | + | 0.574503i | \(0.194805\pi\) | ||||
−0.818503 | + | 0.574503i | \(0.805195\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −11.9987 | −0.631511 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 3.55894 | + | 3.84106i | 0.186796 | + | 0.201603i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 2.85518 | − | 3.40267i | 0.149447 | − | 0.178104i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −15.3983 | + | 2.71514i | −0.803787 | + | 0.141729i | −0.560424 | − | 0.828206i | \(-0.689362\pi\) |
−0.243363 | + | 0.969935i | \(0.578251\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 19.3164 | − | 1.90537i | 1.00557 | − | 0.0991896i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 17.4951 | + | 24.7626i | 0.908299 | + | 1.28561i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −4.12582 | + | 23.3987i | −0.213627 | + | 1.21154i | 0.669647 | + | 0.742680i | \(0.266446\pi\) |
−0.883273 | + | 0.468858i | \(0.844666\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −14.3997 | − | 1.81484i | −0.743597 | − | 0.0937178i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −25.3557 | −1.30588 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −2.22199 | −0.114136 | −0.0570680 | − | 0.998370i | \(-0.518175\pi\) | ||||
−0.0570680 | + | 0.998370i | \(0.518175\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −3.69078 | + | 4.86537i | −0.189084 | + | 0.249260i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −3.59378 | + | 20.3814i | −0.183634 | + | 1.04144i | 0.744065 | + | 0.668108i | \(0.232895\pi\) |
−0.927698 | + | 0.373331i | \(0.878216\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −9.02171 | + | 0.827648i | −0.459789 | + | 0.0421809i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −22.1267 | + | 10.6172i | −1.12476 | + | 0.539704i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −28.8767 | + | 5.09173i | −1.46410 | + | 0.258161i | −0.848207 | − | 0.529665i | \(-0.822318\pi\) |
−0.615898 | + | 0.787826i | \(0.711207\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 6.29859 | − | 7.50637i | 0.318533 | − | 0.379613i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 5.92687 | − | 19.1664i | 0.298971 | − | 0.966817i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 5.15564 | 0.259408 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 31.8885i | 1.60044i | 0.599707 | + | 0.800220i | \(0.295284\pi\) | ||||
−0.599707 | + | 0.800220i | \(0.704716\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 12.0011 | + | 22.5155i | 0.600807 | + | 1.12718i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 6.72607 | − | 8.01582i | 0.335884 | − | 0.400291i | −0.571494 | − | 0.820606i | \(-0.693636\pi\) |
0.907378 | + | 0.420315i | \(0.138080\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 8.74293 | + | 3.18216i | 0.435516 | + | 0.158515i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 8.13418 | + | 1.24952i | 0.404190 | + | 0.0620892i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −5.86343 | − | 6.98777i | −0.290640 | − | 0.346371i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 0.336606 | + | 0.924817i | 0.0166441 | + | 0.0457293i | 0.947736 | − | 0.319054i | \(-0.103365\pi\) |
−0.931092 | + | 0.364784i | \(0.881143\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 8.04566 | − | 0.395851i | 0.396863 | − | 0.0195259i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 1.34411 | − | 1.93692i | 0.0661392 | − | 0.0953094i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −3.73902 | − | 6.47617i | −0.183541 | − | 0.317903i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 8.07432 | + | 35.4913i | 0.395401 | + | 1.73802i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 10.6223 | + | 8.91314i | 0.518931 | + | 0.435435i | 0.864259 | − | 0.503047i | \(-0.167788\pi\) |
−0.345328 | + | 0.938482i | \(0.612232\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 6.03019 | + | 2.19481i | 0.293893 | + | 0.106968i | 0.484759 | − | 0.874648i | \(-0.338907\pi\) |
−0.190866 | + | 0.981616i | \(0.561130\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −12.4316 | + | 5.96515i | −0.604446 | + | 0.290036i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −23.8890 | − | 8.69487i | −1.15878 | − | 0.421763i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −31.5286 | − | 8.30573i | −1.52578 | − | 0.401942i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 24.8660 | + | 3.13393i | 1.20054 | + | 0.151308i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 8.73432 | − | 5.04276i | 0.420717 | − | 0.242901i | −0.274667 | − | 0.961539i | \(-0.588568\pi\) |
0.695384 | + | 0.718638i | \(0.255234\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 15.6232i | 0.750805i | 0.926862 | + | 0.375403i | \(0.122496\pi\) | ||||
−0.926862 | + | 0.375403i | \(0.877504\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −8.27994 | − | 6.28101i | −0.396993 | − | 0.301151i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −6.84523 | − | 5.74383i | −0.327452 | − | 0.274765i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −9.20653 | + | 25.2947i | −0.439404 | + | 1.20725i | 0.500477 | + | 0.865750i | \(0.333158\pi\) |
−0.939881 | + | 0.341502i | \(0.889064\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 11.7076 | − | 17.4337i | 0.557504 | − | 0.830175i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 21.9759 | + | 26.1899i | 1.04411 | + | 1.24432i | 0.968978 | + | 0.247146i | \(0.0794927\pi\) |
0.0751299 | + | 0.997174i | \(0.476063\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −0.648878 | + | 3.67997i | −0.0307597 | + | 0.174447i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −17.0429 | + | 15.7911i | −0.806101 | + | 0.746895i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 21.9379 | + | 12.6659i | 1.03531 | + | 0.597739i | 0.918502 | − | 0.395415i | \(-0.129399\pi\) |
0.116812 | + | 0.993154i | \(0.462733\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 20.9828 | + | 12.1144i | 0.988040 | + | 0.570445i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 15.2257 | − | 9.81857i | 0.715365 | − | 0.461316i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −6.58223 | + | 6.63798i | −0.308580 | + | 0.311193i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −5.22960 | − | 29.6585i | −0.244630 | − | 1.38737i | −0.821350 | − | 0.570425i | \(-0.806779\pi\) |
0.576720 | − | 0.816942i | \(-0.304333\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 29.5070 | + | 11.6528i | 1.37727 | + | 0.543905i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 16.9479 | − | 14.2210i | 0.789344 | − | 0.662338i | −0.156239 | − | 0.987719i | \(-0.549937\pi\) |
0.945583 | + | 0.325381i | \(0.105493\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −6.48204 | + | 36.7614i | −0.301246 | + | 1.70845i | 0.339425 | + | 0.940633i | \(0.389768\pi\) |
−0.640670 | + | 0.767816i | \(0.721343\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 2.06674 | + | 3.20490i | 0.0958429 | + | 0.148624i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −17.6269 | −0.815678 | −0.407839 | − | 0.913054i | \(-0.633717\pi\) | ||||
−0.407839 | + | 0.913054i | \(0.633717\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −34.3671 | − | 2.86074i | −1.58692 | − | 0.132097i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −32.8812 | − | 10.1679i | −1.51508 | − | 0.468513i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −30.1694 | − | 5.31968i | −1.38719 | − | 0.244599i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −7.92905 | + | 21.7849i | −0.363810 | + | 0.999559i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 8.53027 | − | 33.3039i | 0.390574 | − | 1.52488i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 19.9841 | − | 16.7687i | 0.913098 | − | 0.766180i | −0.0596077 | − | 0.998222i | \(-0.518985\pi\) |
0.972706 | + | 0.232042i | \(0.0745405\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −9.26946 | − | 1.63446i | −0.422651 | − | 0.0745248i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −1.52183 | + | 7.19565i | −0.0692455 | + | 0.327413i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −9.58008 | − | 5.53106i | −0.435009 | − | 0.251153i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 1.88377 | + | 3.26279i | 0.0853619 | + | 0.147851i | 0.905545 | − | 0.424249i | \(-0.139462\pi\) |
−0.820183 | + | 0.572101i | \(0.806129\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 24.1014 | + | 3.03758i | 1.08990 | + | 0.137364i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −10.2584 | − | 28.1847i | −0.462955 | − | 1.27196i | −0.923253 | − | 0.384193i | \(-0.874480\pi\) |
0.460298 | − | 0.887764i | \(-0.347743\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −25.7522 | − | 30.6902i | −1.15982 | − | 1.38222i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 7.34369 | + | 7.18309i | 0.330074 | + | 0.322856i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 14.2074 | − | 30.8063i | 0.637288 | − | 1.38185i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 17.4946 | − | 6.36751i | 0.783166 | − | 0.285049i | 0.0806736 | − | 0.996741i | \(-0.474293\pi\) |
0.702492 | + | 0.711692i | \(0.252071\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −2.66555 | − | 2.87685i | −0.119088 | − | 0.128528i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 21.0298 | − | 36.4246i | 0.937670 | − | 1.62409i | 0.167869 | − | 0.985809i | \(-0.446311\pi\) |
0.769801 | − | 0.638284i | \(-0.220355\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −1.35784 | − | 2.35185i | −0.0604232 | − | 0.104656i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 2.81063 | − | 1.81249i | 0.124825 | − | 0.0804955i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −18.7068 | − | 15.6968i | −0.829162 | − | 0.695750i | 0.125936 | − | 0.992038i | \(-0.459807\pi\) |
−0.955098 | + | 0.296289i | \(0.904251\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −5.38243 | + | 11.6709i | −0.238105 | + | 0.516291i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 10.6264 | − | 26.9081i | 0.469168 | − | 1.18802i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −2.84770 | + | 7.82399i | −0.125485 | + | 0.344766i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −16.9503 | − | 2.98880i | −0.745474 | − | 0.131447i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −39.0913 | − | 20.0758i | −1.71592 | − | 0.881229i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 8.33631 | − | 14.4389i | 0.365220 | − | 0.632580i | −0.623591 | − | 0.781751i | \(-0.714327\pi\) |
0.988812 | + | 0.149170i | \(0.0476603\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −8.45882 | + | 4.88370i | −0.369878 | + | 0.213549i | −0.673405 | − | 0.739273i | \(-0.735169\pi\) |
0.303527 | + | 0.952823i | \(0.401836\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 18.8929 | − | 2.67484i | 0.824552 | − | 0.116739i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 5.02798 | + | 13.8143i | 0.219022 | + | 0.601759i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 3.54661 | + | 20.1138i | 0.154201 | + | 0.874515i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −2.66035 | + | 0.262417i | −0.115450 | + | 0.0113879i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 24.6208 | − | 4.34131i | 1.06644 | − | 0.188043i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −8.49357 | + | 10.1222i | −0.367209 | + | 0.437623i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −6.94527 | + | 2.92191i | −0.299710 | + | 0.126090i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 24.5560 | − | 9.17292i | 1.05770 | − | 0.395106i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 15.0773 | − | 26.1147i | 0.648224 | − | 1.12276i | −0.335322 | − | 0.942103i | \(-0.608845\pi\) |
0.983547 | − | 0.180654i | \(-0.0578214\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −3.70305 | − | 2.80907i | −0.158913 | − | 0.120549i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −7.75541 | + | 2.82274i | −0.332205 | + | 0.120913i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −8.06550 | − | 45.7417i | −0.344856 | − | 1.95578i | −0.288970 | − | 0.957338i | \(-0.593313\pi\) |
−0.0558860 | − | 0.998437i | \(-0.517798\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 15.9936 | + | 33.3312i | 0.682589 | + | 1.42254i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −27.9871 | + | 23.4840i | −1.19229 | + | 1.00045i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −14.3928 | + | 3.92166i | −0.612044 | + | 0.166766i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −2.62208 | − | 2.82993i | −0.111301 | − | 0.120124i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | − | 34.1214i | − | 1.44577i | −0.690968 | − | 0.722886i | \(-0.742815\pi\) | ||
0.690968 | − | 0.722886i | \(-0.257185\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −27.3756 | + | 15.8053i | −1.15787 | + | 0.668494i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 21.4615 | + | 33.2804i | 0.906106 | + | 1.40510i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −5.11849 | + | 1.86298i | −0.215719 | + | 0.0785151i | −0.447619 | − | 0.894224i | \(-0.647728\pi\) |
0.231900 | + | 0.972740i | \(0.425506\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 10.1332 | − | 1.78676i | 0.426307 | − | 0.0751694i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −23.6583 | + | 2.69907i | −0.993555 | + | 0.113350i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 1.00282 | − | 0.176824i | 0.0420403 | − | 0.00741284i | −0.152588 | − | 0.988290i | \(-0.548761\pi\) |
0.194629 | + | 0.980877i | \(0.437650\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −3.36592 | + | 1.22509i | −0.140859 | + | 0.0512686i | −0.411488 | − | 0.911415i | \(-0.634991\pi\) |
0.270629 | + | 0.962684i | \(0.412768\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −15.4649 | − | 23.9814i | −0.646055 | − | 1.00184i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −5.78749 | + | 3.34141i | −0.241355 | + | 0.139346i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 23.0893i | 0.961218i | 0.876935 | + | 0.480609i | \(0.159584\pi\) | ||||
−0.876935 | + | 0.480609i | \(0.840416\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −11.9282 | − | 12.8737i | −0.495719 | − | 0.535014i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 15.3642 | + | 15.2352i | 0.637414 | + | 0.632061i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 32.8738 | − | 27.5844i | 1.36149 | − | 1.14243i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 10.5691 | + | 0.807044i | 0.436977 | + | 0.0333672i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −0.0818717 | − | 0.464317i | −0.00337921 | − | 0.0191644i | 0.983072 | − | 0.183222i | \(-0.0586528\pi\) |
−0.986451 | + | 0.164058i | \(0.947542\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 12.5975 | − | 4.58513i | 0.519073 | − | 0.188927i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 37.1893 | + | 28.2111i | 1.52976 | + | 1.16045i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 19.0760 | − | 33.0406i | 0.783357 | − | 1.35681i | −0.146619 | − | 0.989193i | \(-0.546839\pi\) |
0.929976 | − | 0.367621i | \(-0.119828\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −14.7197 | − | 1.22528i | −0.603449 | − | 0.0502316i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −20.0467 | + | 8.43373i | −0.820456 | + | 0.345170i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 17.1655 | − | 20.4570i | 0.701362 | − | 0.835850i | −0.291318 | − | 0.956626i | \(-0.594094\pi\) |
0.992680 | + | 0.120776i | \(0.0385382\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 26.0201 | − | 4.58804i | 1.06138 | − | 0.187150i | 0.384412 | − | 0.923162i | \(-0.374404\pi\) |
0.676969 | + | 0.736012i | \(0.263293\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 22.7815 | + | 31.7817i | 0.927735 | + | 1.29425i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 0.480040 | + | 2.72244i | 0.0195164 | + | 0.110683i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −2.40611 | − | 6.61074i | −0.0976611 | − | 0.268322i | 0.881236 | − | 0.472677i | \(-0.156712\pi\) |
−0.978897 | + | 0.204356i | \(0.934490\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 27.8924 | + | 11.2363i | 1.13026 | + | 0.455316i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −15.3807 | + | 8.88003i | −0.622235 | + | 0.359248i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 10.6152 | − | 18.3860i | 0.428743 | − | 0.742604i | −0.568019 | − | 0.823015i | \(-0.692290\pi\) |
0.996762 | + | 0.0804113i | \(0.0256234\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 9.11537 | + | 4.68130i | 0.367567 | + | 0.188768i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −16.1973 | − | 2.85602i | −0.652079 | − | 0.114979i | −0.162184 | − | 0.986761i | \(-0.551854\pi\) |
−0.489895 | + | 0.871782i | \(0.662965\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 9.90984 | − | 27.2271i | 0.398310 | − | 1.09435i | −0.564797 | − | 0.825230i | \(-0.691045\pi\) |
0.963107 | − | 0.269118i | \(-0.0867323\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 7.33242 | − | 3.97292i | 0.294240 | − | 0.159428i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −0.987741 | − | 10.7668i | −0.0395730 | − | 0.431362i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 10.0790 | + | 8.45731i | 0.403161 | + | 0.338292i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 30.3492 | − | 19.5712i | 1.21203 | − | 0.781600i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −7.43608 | − | 12.8797i | −0.296496 | − | 0.513546i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −7.51188 | + | 13.0110i | −0.299043 | + | 0.517958i | −0.975917 | − | 0.218141i | \(-0.930001\pi\) |
0.676874 | + | 0.736099i | \(0.263334\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 5.81238 | + | 6.27313i | 0.231021 | + | 0.249334i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −3.02955 | + | 1.10267i | −0.120224 | + | 0.0437580i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 13.3261 | − | 23.5378i | 0.528000 | − | 0.932601i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −37.0438 | + | 10.3661i | −1.46543 | + | 0.410078i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 5.13002 | + | 6.11372i | 0.202624 | + | 0.241478i | 0.857781 | − | 0.514015i | \(-0.171842\pi\) |
−0.655158 | + | 0.755492i | \(0.727398\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −10.8529 | − | 29.8181i | −0.427996 | − | 1.17591i | −0.947027 | − | 0.321154i | \(-0.895929\pi\) |
0.519031 | − | 0.854756i | \(-0.326293\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −12.8548 | − | 1.62013i | −0.506157 | − | 0.0637925i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −0.285978 | − | 0.495329i | −0.0112430 | − | 0.0194734i | 0.860349 | − | 0.509705i | \(-0.170245\pi\) |
−0.871592 | + | 0.490232i | \(0.836912\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −2.88985 | − | 1.66846i | −0.113437 | − | 0.0654926i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −8.20747 | − | 7.37492i | −0.321676 | − | 0.289046i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 40.4916 | + | 7.13976i | 1.58456 | + | 0.279400i | 0.895417 | − | 0.445228i | \(-0.146877\pi\) |
0.689140 | + | 0.724628i | \(0.257988\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 8.11335 | − | 6.80791i | 0.317015 | − | 0.266007i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 14.0340 | − | 3.92718i | 0.547518 | − | 0.153214i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −4.33314 | + | 11.9052i | −0.168795 | + | 0.463761i | −0.995031 | − | 0.0995628i | \(-0.968256\pi\) |
0.826236 | + | 0.563324i | \(0.190478\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 8.08600 | + | 1.42578i | 0.314509 | + | 0.0554564i | 0.328674 | − | 0.944443i | \(-0.393398\pi\) |
−0.0141656 | + | 0.999900i | \(0.504509\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 39.0379 | + | 12.0718i | 1.51610 | + | 0.468828i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −1.11736 | + | 13.4232i | −0.0433294 | + | 0.520530i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −10.5316 | −0.407786 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 12.2625 | + | 19.0155i | 0.474097 | + | 0.735183i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −8.01346 | + | 45.4466i | −0.309356 | + | 1.75445i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −33.8139 | + | 28.3732i | −1.30343 | + | 1.09371i | −0.313889 | + | 0.949460i | \(0.601632\pi\) |
−0.989542 | + | 0.144248i | \(0.953924\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −16.1920 | − | 14.3506i | −0.623231 | − | 0.552356i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −3.91905 | − | 22.2260i | −0.150621 | − | 0.854216i | −0.962680 | − | 0.270641i | \(-0.912764\pi\) |
0.812059 | − | 0.583575i | \(-0.198347\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 30.9515 | + | 8.15370i | 1.18781 | + | 0.312910i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −22.3035 | + | 14.3828i | −0.854671 | + | 0.551151i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 10.1811 | + | 5.87807i | 0.389569 | + | 0.224918i | 0.681974 | − | 0.731377i | \(-0.261122\pi\) |
−0.292404 | + | 0.956295i | \(0.594455\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 3.68292 | + | 2.12634i | 0.140717 | + | 0.0812431i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −11.8054 | + | 10.9383i | −0.450403 | + | 0.417321i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 7.68925 | − | 43.6079i | 0.292937 | − | 1.66133i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 11.6847 | + | 13.9253i | 0.444506 | + | 0.529742i | 0.941049 | − | 0.338270i | \(-0.109842\pi\) |
−0.496543 | + | 0.868012i | \(0.665397\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −25.9649 | − | 14.4667i | −0.986326 | − | 0.549545i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −6.57213 | + | 18.0568i | −0.249295 | + | 0.684933i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 30.2605 | + | 25.3915i | 1.14620 | + | 0.961773i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 12.9603 | + | 9.83142i | 0.490202 | + | 0.371859i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 10.7142i | 0.404669i | 0.979317 | + | 0.202334i | \(0.0648527\pi\) | ||||
−0.979317 | + | 0.202334i | \(0.935147\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −11.7453 | + | 6.78113i | −0.442981 | + | 0.255755i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −7.22231 | − | 0.910250i | −0.272008 | − | 0.0342820i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 5.57958 | + | 5.53272i | 0.209842 | + | 0.208079i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −6.72909 | − | 2.44919i | −0.252716 | − | 0.0919812i | 0.212556 | − | 0.977149i | \(-0.431821\pi\) |
−0.465272 | + | 0.885168i | \(0.654043\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 13.9622 | + | 9.54819i | 0.523625 | + | 0.358085i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 3.63142 | + | 1.32173i | 0.135998 | + | 0.0494991i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 10.1358 | + | 8.50491i | 0.379056 | + | 0.318066i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −3.35279 | − | 14.7374i | −0.125212 | − | 0.550380i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 6.42531 | + | 11.1290i | 0.239624 | + | 0.415040i | 0.960606 | − | 0.277913i | \(-0.0896426\pi\) |
−0.720983 | + | 0.692953i | \(0.756309\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 1.99845 | − | 24.0080i | 0.0744261 | − | 0.894106i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −9.77256 | + | 0.480815i | −0.363445 | + | 0.0178817i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 9.34506 | + | 25.6753i | 0.347067 | + | 0.953558i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 25.2662 | + | 30.1111i | 0.937071 | + | 1.11676i | 0.992975 | + | 0.118322i | \(0.0377514\pi\) |
−0.0559043 | + | 0.998436i | \(0.517804\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 19.7145 | + | 18.4483i | 0.730166 | + | 0.683270i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −46.9343 | − | 17.0827i | −1.73593 | − | 0.631827i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 4.42383 | − | 5.27212i | 0.163398 | − | 0.194730i | −0.678133 | − | 0.734939i | \(-0.737211\pi\) |
0.841531 | + | 0.540209i | \(0.181655\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 10.1824 | − | 4.38521i | 0.375582 | − | 0.161751i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 48.8109i | 1.79797i | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 16.2662 | 0.598360 | 0.299180 | − | 0.954197i | \(-0.403287\pi\) | ||||
0.299180 | + | 0.954197i | \(0.403287\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 11.0085 | − | 35.5995i | 0.404408 | − | 1.30778i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −4.66918 | + | 5.56451i | −0.171296 | + | 0.204142i | −0.844862 | − | 0.534985i | \(-0.820317\pi\) |
0.673566 | + | 0.739127i | \(0.264762\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −12.0796 | + | 2.12995i | −0.442561 | + | 0.0780354i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 1.86798 | − | 24.4631i | 0.0683456 | − | 0.895057i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 16.0116 | − | 34.7185i | 0.585051 | − | 1.26859i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 5.09362 | − | 28.8874i | 0.185869 | − | 1.05411i | −0.738965 | − | 0.673744i | \(-0.764685\pi\) |
0.924834 | − | 0.380371i | \(-0.124204\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −1.24212 | + | 1.63743i | −0.0452654 | + | 0.0596711i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 9.56447 | 0.348087 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 20.1619 | 0.732796 | 0.366398 | − | 0.930458i | \(-0.380591\pi\) | ||||
0.366398 | + | 0.930458i | \(0.380591\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 10.3282 | + | 1.30169i | 0.374890 | + | 0.0472485i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 7.77530 | − | 44.0959i | 0.281855 | − | 1.59848i | −0.434455 | − | 0.900694i | \(-0.643059\pi\) |
0.716309 | − | 0.697783i | \(-0.245830\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 19.5033 | − | 13.7793i | 0.706068 | − | 0.498845i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 9.75751 | + | 13.6124i | 0.352783 | + | 0.492156i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −3.39090 | + | 0.597907i | −0.122438 | + | 0.0215892i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −7.23057 | + | 8.61705i | −0.260741 | + | 0.310739i | −0.880493 | − | 0.474058i | \(-0.842789\pi\) |
0.619752 | + | 0.784797i | \(0.287233\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 14.2524 | + | 15.3822i | 0.513287 | + | 0.553976i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 20.3371 | 0.731475 | 0.365737 | − | 0.930718i | \(-0.380817\pi\) | ||||
0.365737 | + | 0.930718i | \(0.380817\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | − | 10.0260i | − | 0.360143i | ||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 9.47254 | + | 5.90570i | 0.339826 | + | 0.211866i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 23.1551 | − | 27.5952i | 0.829619 | − | 0.988701i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −45.1207 | − | 16.4226i | −1.61455 | − | 0.587647i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −10.7910 | − | 32.3443i | −0.385637 | − | 1.15589i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −11.6794 | − | 13.9190i | −0.416856 | − | 0.496789i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −7.59217 | − | 20.8593i | −0.270631 | − | 0.743554i | −0.998336 | − | 0.0576632i | \(-0.981635\pi\) |
0.727705 | − | 0.685891i | \(-0.240587\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 1.13493 | − | 2.20993i | 0.0404047 | − | 0.0786754i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −26.9293 | + | 12.6959i | −0.957497 | + | 0.451414i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 23.8088 | + | 41.2381i | 0.845477 | + | 1.46441i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 13.3133 | − | 12.3355i | 0.472175 | − | 0.437495i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 2.21466 | + | 1.85832i | 0.0784473 | + | 0.0658251i | 0.681168 | − | 0.732127i | \(-0.261472\pi\) |
−0.602721 | + | 0.797952i | \(0.705917\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −26.3695 | − | 9.59770i | −0.932885 | − | 0.339542i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −8.57252 | + | 8.76419i | −0.302895 | + | 0.309667i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 17.0939 | + | 6.22166i | 0.603230 | + | 0.219558i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −2.73396 | + | 2.75712i | −0.0963595 | + | 0.0971757i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −10.9292 | + | 14.4074i | −0.384725 | + | 0.507164i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −13.6590 | + | 7.88602i | −0.480224 | + | 0.277258i | −0.720510 | − | 0.693445i | \(-0.756092\pi\) |
0.240286 | + | 0.970702i | \(0.422759\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 14.4836i | 0.508589i | 0.967127 | + | 0.254294i | \(0.0818432\pi\) | ||||
−0.967127 | + | 0.254294i | \(0.918157\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −2.80524 | + | 22.2580i | −0.0983841 | + | 0.780621i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 9.82412 | + | 8.24342i | 0.344124 | + | 0.288754i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −15.5781 | + | 42.8005i | −0.545009 | + | 1.49740i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −30.1191 | + | 5.78643i | −1.05245 | + | 0.202194i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 21.7942 | + | 25.9733i | 0.760623 | + | 0.906475i | 0.997887 | − | 0.0649703i | \(-0.0206953\pi\) |
−0.237265 | + | 0.971445i | \(0.576251\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −1.58964 | + | 9.01531i | −0.0554115 | + | 0.314254i | −0.999898 | − | 0.0142966i | \(-0.995449\pi\) |
0.944486 | + | 0.328551i | \(0.106560\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −5.99113 | − | 26.3345i | −0.208584 | − | 0.916849i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −10.4030 | − | 6.00615i | −0.361746 | − | 0.208854i | 0.308100 | − | 0.951354i | \(-0.400307\pi\) |
−0.669846 | + | 0.742500i | \(0.733640\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 0.0480247 | + | 0.0277270i | 0.00166797 | + | 0.000963000i | 0.500834 | − | 0.865544i | \(-0.333027\pi\) |
−0.499166 | + | 0.866507i | \(0.666360\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −31.1597 | − | 16.0024i | −1.08092 | − | 0.555117i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 42.0244 | − | 7.77605i | 1.45606 | − | 0.269424i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −0.359537 | − | 2.03904i | −0.0124423 | − | 0.0705638i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −0.338398 | + | 12.5069i | −0.0116967 | + | 0.432303i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 35.6042 | − | 29.8755i | 1.22919 | − | 1.03142i | 0.230903 | − | 0.972977i | \(-0.425832\pi\) |
0.998291 | − | 0.0584391i | \(-0.0186123\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −2.44135 | + | 13.8456i | −0.0841843 | + | 0.477433i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −47.3367 | + | 2.32899i | −1.63036 | + | 0.0802147i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 1.76558 | 0.0607380 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −3.41094 | − | 7.23498i | −0.117201 | − | 0.248597i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −8.42857 | − | 37.0485i | −0.289268 | − | 1.27150i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −3.85012 | − | 0.678880i | −0.131980 | − | 0.0232717i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −13.7813 | + | 37.8638i | −0.471862 | + | 1.29643i | 0.444391 | + | 0.895833i | \(0.353420\pi\) |
−0.916254 | + | 0.400599i | \(0.868802\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 12.4134 | − | 8.89809i | 0.424530 | − | 0.304308i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 43.2434 | − | 36.2855i | 1.47717 | − | 1.23949i | 0.568021 | − | 0.823014i | \(-0.307709\pi\) |
0.909147 | − | 0.416476i | \(-0.136735\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 9.52329 | + | 1.67921i | 0.324930 | + | 0.0572940i | 0.333734 | − | 0.942667i | \(-0.391691\pi\) |
−0.00880372 | + | 0.999961i | \(0.502802\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −29.0079 | − | 6.13495i | −0.988585 | − | 0.209079i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 7.71069 | + | 4.45177i | 0.262475 | + | 0.151540i | 0.625463 | − | 0.780254i | \(-0.284910\pi\) |
−0.362988 | + | 0.931794i | \(0.618243\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −11.5999 | − | 20.0916i | −0.394409 | − | 0.683136i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 13.6185 | + | 32.3707i | 0.462509 | + | 1.09937i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 7.22142 | + | 19.8407i | 0.244970 | + | 0.673049i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 32.3745 | + | 38.5824i | 1.09697 | + | 1.30732i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −15.7008 | − | 32.7211i | −0.531392 | − | 1.10744i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 20.1321 | + | 9.28459i | 0.680589 | + | 0.313876i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −21.3509 | + | 7.77111i | −0.720970 | + | 0.262412i | −0.676337 | − | 0.736592i | \(-0.736434\pi\) |
−0.0446324 | + | 0.999003i | \(0.514212\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 26.0736 | − | 5.93177i | 0.879440 | − | 0.200074i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −20.5916 | + | 35.6656i | −0.693748 | + | 1.20161i | 0.276854 | + | 0.960912i | \(0.410708\pi\) |
−0.970601 | + | 0.240694i | \(0.922625\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −22.4947 | − | 38.9620i | −0.757008 | − | 1.31118i | −0.944370 | − | 0.328886i | \(-0.893327\pi\) |
0.187361 | − | 0.982291i | \(-0.440006\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −1.25541 | − | 0.644733i | −0.0422003 | − | 0.0216724i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −21.8955 | − | 18.3725i | −0.735178 | − | 0.616888i | 0.196360 | − | 0.980532i | \(-0.437088\pi\) |
−0.931538 | + | 0.363644i | \(0.881532\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 7.61873 | − | 5.38271i | 0.255524 | − | 0.180530i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 6.58482 | + | 33.0533i | 0.220600 | + | 1.10733i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −8.75237 | + | 24.0469i | −0.292887 | + | 0.804700i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −3.91744 | − | 0.690750i | −0.130946 | − | 0.0230892i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 9.02726 | − | 5.82140i | 0.301411 | − | 0.194371i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 7.90007 | − | 13.6833i | 0.263482 | − | 0.456365i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 60.5921 | − | 34.9828i | 2.01861 | − | 1.16545i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 37.1186 | − | 5.25522i | 1.23523 | − | 0.174883i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −0.839243 | − | 2.30580i | −0.0278974 | − | 0.0766475i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −3.55945 | − | 20.1866i | −0.118190 | − | 0.670286i | −0.985121 | − | 0.171859i | \(-0.945022\pi\) |
0.866932 | − | 0.498426i | \(-0.166089\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 0.678364 | − | 8.88388i | 0.0224999 | − | 0.294660i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 26.1535 | − | 4.61157i | 0.866505 | − | 0.152788i | 0.277311 | − | 0.960780i | \(-0.410557\pi\) |
0.589193 | + | 0.807992i | \(0.299446\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 19.6854 | − | 23.4601i | 0.651491 | − | 0.776417i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −2.44053 | + | 19.3642i | −0.0806814 | + | 0.640161i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −17.4712 | + | 25.1768i | −0.576951 | + | 0.831412i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −6.74735 | + | 11.6868i | −0.222575 | + | 0.385511i | −0.955589 | − | 0.294702i | \(-0.904779\pi\) |
0.733014 | + | 0.680213i | \(0.238113\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 5.61776 | − | 44.5737i | 0.185112 | − | 1.46875i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −46.5580 | + | 16.9457i | −1.53248 | + | 0.557775i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 1.76128 | + | 9.98871i | 0.0579105 | + | 0.328427i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −22.2020 | + | 15.9146i | −0.729208 | + | 0.522705i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −21.1568 | + | 17.7527i | −0.694133 | + | 0.582447i | −0.920098 | − | 0.391689i | \(-0.871891\pi\) |
0.225965 | + | 0.974136i | \(0.427447\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −7.09115 | − | 38.3230i | −0.232403 | − | 1.25599i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −1.56994 | + | 0.357163i | −0.0513975 | + | 0.0116930i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 20.9061i | 0.683703i | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −22.1137 | + | 12.7673i | −0.722423 | + | 0.417091i | −0.815644 | − | 0.578554i | \(-0.803617\pi\) |
0.0932208 | + | 0.995645i | \(0.470284\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −3.80693 | + | 7.41280i | −0.124234 | + | 0.241908i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 14.5954 | − | 5.31230i | 0.475797 | − | 0.173176i | −0.0929794 | − | 0.995668i | \(-0.529639\pi\) |
0.568777 | + | 0.822492i | \(0.307417\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 10.2264 | − | 1.80319i | 0.333016 | − | 0.0587198i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −11.2688 | − | 5.57143i | −0.366575 | − | 0.181238i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −48.3156 | + | 8.51934i | −1.57005 | + | 0.276841i | −0.889872 | − | 0.456210i | \(-0.849207\pi\) |
−0.680173 | + | 0.733051i | \(0.738096\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 17.6384 | − | 6.41985i | 0.572567 | − | 0.208397i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 22.6687 | − | 1.11531i | 0.735084 | − | 0.0361665i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −16.1052 | + | 9.29833i | −0.521698 | + | 0.301202i | −0.737629 | − | 0.675206i | \(-0.764055\pi\) |
0.215931 | + | 0.976409i | \(0.430721\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | − | 15.0647i | − | 0.487482i | ||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 12.5739 | − | 40.6618i | 0.406457 | − | 1.31441i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −11.8989 | − | 3.13457i | −0.384234 | − | 0.101221i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 19.3061 | − | 16.1997i | 0.622776 | − | 0.522572i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −41.7481 | + | 11.6825i | −1.34531 | + | 0.376465i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −1.60891 | − | 9.12457i | −0.0517926 | − | 0.293730i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 18.0291 | − | 6.56204i | 0.579775 | − | 0.211021i | −0.0354510 | − | 0.999371i | \(-0.511287\pi\) |
0.615226 | + | 0.788350i | \(0.289065\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 54.2699 | − | 22.8316i | 1.74340 | − | 0.733457i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −21.5511 | + | 37.3275i | −0.691606 | + | 1.19790i | 0.279705 | + | 0.960086i | \(0.409763\pi\) |
−0.971311 | + | 0.237811i | \(0.923570\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 4.61217 | − | 55.4075i | 0.147859 | − | 1.77628i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −22.2024 | − | 16.8423i | −0.711045 | − | 0.539385i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −1.14854 | + | 1.36878i | −0.0367452 | + | 0.0437912i | −0.784104 | − | 0.620629i | \(-0.786877\pi\) |
0.747359 | + | 0.664421i | \(0.231322\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −15.0707 | + | 2.65737i | −0.481661 | + | 0.0849298i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −26.2305 | − | 6.71854i | −0.837475 | − | 0.214506i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 2.04856 | + | 11.6180i | 0.0653390 | + | 0.370556i | 0.999891 | + | 0.0147307i | \(0.00468908\pi\) |
−0.934552 | + | 0.355825i | \(0.884200\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 8.42842 | + | 23.1569i | 0.268552 | + | 0.737840i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 20.8546 | − | 2.95258i | 0.663810 | − | 0.0939816i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −11.3706 | + | 6.56483i | −0.361565 | + | 0.208749i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −5.04929 | + | 8.74562i | −0.160396 | + | 0.277814i | −0.935011 | − | 0.354620i | \(-0.884610\pi\) |
0.774615 | + | 0.632433i | \(0.217944\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 1.56238 | + | 31.7554i | 0.0495807 | + | 1.00773i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −11.3072 | − | 1.99377i | −0.358463 | − | 0.0632067i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 0.420611 | − | 1.15562i | 0.0133209 | − | 0.0365989i | −0.932854 | − | 0.360255i | \(-0.882690\pi\) |
0.946175 | + | 0.323656i | \(0.104912\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −1.85998 | − | 12.5199i | −0.0588471 | − | 0.396113i |
(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 | 756.2.ck.a.5.15 | yes | 144 | |
7.3 | odd | 6 | 756.2.ca.a.437.8 | yes | 144 | ||
27.11 | odd | 18 | 756.2.ca.a.173.8 | ✓ | 144 | ||
189.38 | even | 18 | inner | 756.2.ck.a.605.15 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
756.2.ca.a.173.8 | ✓ | 144 | 27.11 | odd | 18 | ||
756.2.ca.a.437.8 | yes | 144 | 7.3 | odd | 6 | ||
756.2.ck.a.5.15 | yes | 144 | 1.1 | even | 1 | trivial | |
756.2.ck.a.605.15 | yes | 144 | 189.38 | even | 18 | inner |