Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [864,2,Mod(97,864)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(864, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("864.97");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 864 = 2^{5} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 864.y (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: | \(6.89907473464\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 193.4 | ||
Character | \(\chi\) | \(=\) | 864.193 |
Dual form | 864.2.y.d.385.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/864\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(353\) | \(703\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{9}\right)\) | \(1\) |
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 | ||||||||
\(3\) | −0.998006 | − | 1.41562i | −0.576199 | − | 0.817309i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.476400 | + | 2.70180i | −0.213052 | + | 1.20828i | 0.671202 | + | 0.741275i | \(0.265778\pi\) |
−0.884254 | + | 0.467006i | \(0.845333\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.930891 | − | 0.781110i | 0.351844 | − | 0.295232i | −0.449686 | − | 0.893187i | \(-0.648464\pi\) |
0.801530 | + | 0.597955i | \(0.204020\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −1.00797 | + | 2.82560i | −0.335990 | + | 0.941866i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −0.767387 | − | 4.35207i | −0.231376 | − | 1.31220i | −0.850113 | − | 0.526600i | \(-0.823466\pi\) |
0.618737 | − | 0.785598i | \(-0.287645\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.17738 | + | 1.15647i | −0.881246 | + | 0.320747i | −0.742713 | − | 0.669610i | \(-0.766461\pi\) |
−0.138534 | + | 0.990358i | \(0.544239\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 4.30017 | − | 2.02201i | 1.11030 | − | 0.522080i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 3.44829 | − | 5.97261i | 0.836332 | − | 1.44857i | −0.0566086 | − | 0.998396i | \(-0.518029\pi\) |
0.892941 | − | 0.450174i | \(-0.148638\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.83738 | + | 4.91449i | 0.650941 | + | 1.12746i | 0.982895 | + | 0.184167i | \(0.0589586\pi\) |
−0.331955 | + | 0.943295i | \(0.607708\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −2.03479 | − | 0.538237i | −0.444028 | − | 0.117453i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 5.59019 | + | 4.69073i | 1.16564 | + | 0.978085i | 0.999967 | − | 0.00809670i | \(-0.00257729\pi\) |
0.165669 | + | 0.986181i | \(0.447022\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −2.37429 | − | 0.864169i | −0.474857 | − | 0.172834i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 5.00593 | − | 1.39306i | 0.963393 | − | 0.268094i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 7.14713 | + | 2.60134i | 1.32719 | + | 0.483057i | 0.905755 | − | 0.423803i | \(-0.139305\pi\) |
0.421433 | + | 0.906859i | \(0.361527\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.01775 | − | 0.853991i | −0.182793 | − | 0.153381i | 0.546800 | − | 0.837263i | \(-0.315846\pi\) |
−0.729593 | + | 0.683882i | \(0.760290\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −5.39503 | + | 5.42972i | −0.939154 | + | 0.945193i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 1.66693 | + | 2.88720i | 0.281762 | + | 0.488026i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −0.947951 | + | 1.64190i | −0.155842 | + | 0.269927i | −0.933365 | − | 0.358928i | \(-0.883142\pi\) |
0.777523 | + | 0.628854i | \(0.216476\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 4.80817 | + | 3.34380i | 0.769923 | + | 0.535437i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 8.09584 | − | 2.94665i | 1.26436 | − | 0.460189i | 0.379129 | − | 0.925344i | \(-0.376224\pi\) |
0.885229 | + | 0.465155i | \(0.154002\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −2.01970 | − | 11.4543i | −0.308001 | − | 1.74676i | −0.609030 | − | 0.793147i | \(-0.708441\pi\) |
0.301029 | − | 0.953615i | \(-0.402670\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −7.15399 | − | 4.06944i | −1.06645 | − | 0.606636i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 6.22342 | − | 5.22207i | 0.907778 | − | 0.761717i | −0.0639166 | − | 0.997955i | \(-0.520359\pi\) |
0.971695 | + | 0.236239i | \(0.0759147\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.959112 | + | 5.43940i | −0.137016 | + | 0.777057i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −11.8964 | + | 1.07923i | −1.66582 | + | 0.151122i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 3.45995 | 0.475261 | 0.237630 | − | 0.971356i | \(-0.423629\pi\) | ||||
0.237630 | + | 0.971356i | \(0.423629\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 12.1240 | 1.63480 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 4.12534 | − | 8.92135i | 0.546414 | − | 1.18166i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −0.752688 | + | 4.26871i | −0.0979916 | + | 0.555738i | 0.895798 | + | 0.444462i | \(0.146605\pi\) |
−0.993789 | + | 0.111276i | \(0.964506\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.799012 | − | 0.670450i | 0.102303 | − | 0.0858424i | −0.590202 | − | 0.807256i | \(-0.700952\pi\) |
0.692504 | + | 0.721414i | \(0.256507\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 1.26879 | + | 3.41766i | 0.159853 | + | 0.430584i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −1.61085 | − | 9.13558i | −0.199801 | − | 1.13313i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.02582 | − | 0.373369i | 0.125324 | − | 0.0456143i | −0.278597 | − | 0.960408i | \(-0.589869\pi\) |
0.403921 | + | 0.914794i | \(0.367647\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 1.06125 | − | 12.5950i | 0.127760 | − | 1.51626i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 6.48911 | − | 11.2395i | 0.770116 | − | 1.33388i | −0.167384 | − | 0.985892i | \(-0.553532\pi\) |
0.937499 | − | 0.347987i | \(-0.113135\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 1.14613 | + | 1.98516i | 0.134144 | + | 0.232345i | 0.925270 | − | 0.379308i | \(-0.123838\pi\) |
−0.791126 | + | 0.611653i | \(0.790505\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 1.14621 | + | 4.22354i | 0.132353 | + | 0.487692i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −4.11380 | − | 3.45189i | −0.468811 | − | 0.393379i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.119365 | + | 0.0434454i | 0.0134297 | + | 0.00488799i | 0.348726 | − | 0.937225i | \(-0.386614\pi\) |
−0.335297 | + | 0.942113i | \(0.608837\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −6.96800 | − | 5.69623i | −0.774222 | − | 0.632914i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 0.315695 | + | 0.114904i | 0.0346521 | + | 0.0126123i | 0.359288 | − | 0.933227i | \(-0.383020\pi\) |
−0.324636 | + | 0.945839i | \(0.605242\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 14.4940 | + | 12.1619i | 1.57210 | + | 1.31915i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −3.45036 | − | 12.7138i | −0.369917 | − | 1.36306i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 0.363762 | + | 0.630054i | 0.0385587 | + | 0.0667856i | 0.884661 | − | 0.466235i | \(-0.154390\pi\) |
−0.846102 | + | 0.533021i | \(0.821057\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −2.05446 | + | 3.55843i | −0.215366 | + | 0.373025i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −0.193211 | + | 2.29303i | −0.0200350 | + | 0.237776i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −14.6297 | + | 5.32477i | −1.50097 | + | 0.546310i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 2.69366 | + | 15.2765i | 0.273499 | + | 1.55109i | 0.743689 | + | 0.668526i | \(0.233074\pi\) |
−0.470190 | + | 0.882565i | \(0.655815\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 13.0707 | + | 2.21842i | 1.31365 | + | 0.222960i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −2.73866 | + | 2.29801i | −0.272507 | + | 0.228660i | −0.768792 | − | 0.639499i | \(-0.779142\pi\) |
0.496285 | + | 0.868160i | \(0.334697\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 1.03723 | − | 5.88242i | 0.102201 | − | 0.579612i | −0.890100 | − | 0.455765i | \(-0.849366\pi\) |
0.992301 | − | 0.123847i | \(-0.0395232\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 2.42358 | − | 5.24118i | 0.236517 | − | 0.511486i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −14.3571 | −1.38796 | −0.693979 | − | 0.719995i | \(-0.744144\pi\) | ||||
−0.693979 | + | 0.719995i | \(0.744144\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −4.31918 | −0.413703 | −0.206851 | − | 0.978372i | \(-0.566322\pi\) | ||||
−0.206851 | + | 0.978372i | \(0.566322\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 3.27037 | − | 0.296685i | 0.310410 | − | 0.0281601i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 0.366558 | − | 2.07885i | 0.0344829 | − | 0.195562i | −0.962700 | − | 0.270571i | \(-0.912787\pi\) |
0.997183 | + | 0.0750091i | \(0.0238986\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −15.3366 | + | 12.8689i | −1.43014 | + | 1.20003i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −0.0650232 | − | 10.1437i | −0.00601140 | − | 0.937784i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −1.45529 | − | 8.25334i | −0.133406 | − | 0.756582i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −8.01501 | + | 2.91723i | −0.728637 | + | 0.265202i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −12.2510 | − | 8.51988i | −1.10464 | − | 0.768212i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −3.39277 | + | 5.87645i | −0.303459 | + | 0.525606i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −0.593244 | − | 1.02753i | −0.0526419 | − | 0.0911784i | 0.838504 | − | 0.544896i | \(-0.183431\pi\) |
−0.891146 | + | 0.453718i | \(0.850098\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −14.1993 | + | 14.2906i | −1.25018 | + | 1.25821i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −1.80438 | − | 1.51405i | −0.157649 | − | 0.132283i | 0.560551 | − | 0.828120i | \(-0.310589\pi\) |
−0.718200 | + | 0.695837i | \(0.755034\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 6.48006 | + | 2.35855i | 0.561892 | + | 0.204512i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 1.37894 | + | 14.1887i | 0.118680 | + | 1.22117i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 2.00519 | + | 0.729828i | 0.171315 | + | 0.0623534i | 0.426254 | − | 0.904604i | \(-0.359833\pi\) |
−0.254939 | + | 0.966957i | \(0.582055\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −3.89399 | − | 3.26745i | −0.330284 | − | 0.277141i | 0.462531 | − | 0.886603i | \(-0.346941\pi\) |
−0.792816 | + | 0.609461i | \(0.791386\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −13.6035 | − | 3.59835i | −1.14562 | − | 0.303036i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 7.47133 | + | 12.9407i | 0.624784 | + | 1.08216i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −10.4332 | + | 18.0708i | −0.866429 | + | 1.50070i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 8.65733 | − | 4.07081i | 0.714044 | − | 0.335755i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 18.3681 | − | 6.68544i | 1.50477 | − | 0.547693i | 0.547482 | − | 0.836818i | \(-0.315587\pi\) |
0.957291 | + | 0.289125i | \(0.0933644\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 2.58146 | + | 14.6402i | 0.210076 | + | 1.19140i | 0.889250 | + | 0.457422i | \(0.151227\pi\) |
−0.679174 | + | 0.733978i | \(0.737662\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 13.4004 | + | 15.7637i | 1.08336 | + | 1.27442i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 2.79216 | − | 2.34290i | 0.224272 | − | 0.188187i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1.23838 | − | 7.02322i | 0.0988338 | − | 0.560514i | −0.894671 | − | 0.446725i | \(-0.852590\pi\) |
0.993505 | − | 0.113789i | \(-0.0362988\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −3.45305 | − | 4.89798i | −0.273845 | − | 0.388435i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 8.86784 | 0.698884 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 15.7592 | 1.23436 | 0.617179 | − | 0.786823i | \(-0.288276\pi\) | ||||
0.617179 | + | 0.786823i | \(0.288276\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −12.0998 | − | 17.1630i | −0.941969 | − | 1.33614i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −3.83987 | + | 21.7770i | −0.297138 | + | 1.68515i | 0.361245 | + | 0.932471i | \(0.382352\pi\) |
−0.658383 | + | 0.752683i | \(0.728759\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −1.20026 | + | 1.00714i | −0.0923280 | + | 0.0774724i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −16.7464 | + | 3.06365i | −1.28063 | + | 0.234283i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 0.436952 | + | 2.47808i | 0.0332209 | + | 0.188405i | 0.996902 | − | 0.0786495i | \(-0.0250608\pi\) |
−0.963681 | + | 0.267054i | \(0.913950\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −2.88521 | + | 1.05013i | −0.218102 | + | 0.0793825i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 6.79406 | − | 3.19467i | 0.510673 | − | 0.240126i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −3.69681 | + | 6.40306i | −0.276312 | + | 0.478587i | −0.970465 | − | 0.241240i | \(-0.922446\pi\) |
0.694153 | + | 0.719827i | \(0.255779\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 10.6002 | + | 18.3600i | 0.787905 | + | 1.36469i | 0.927248 | + | 0.374447i | \(0.122167\pi\) |
−0.139343 | + | 0.990244i | \(0.544499\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −1.74652 | − | 0.461985i | −0.129107 | − | 0.0341509i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −3.98448 | − | 3.34337i | −0.292944 | − | 0.245810i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −28.6394 | − | 10.4239i | −2.09432 | − | 0.762270i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 3.57185 | − | 5.20697i | 0.259814 | − | 0.378752i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −16.3388 | − | 5.94683i | −1.18223 | − | 0.430298i | −0.325243 | − | 0.945630i | \(-0.605446\pi\) |
−0.856990 | + | 0.515333i | \(0.827668\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −14.4803 | − | 12.1504i | −1.04231 | − | 0.874603i | −0.0500474 | − | 0.998747i | \(-0.515937\pi\) |
−0.992264 | + | 0.124144i | \(0.960382\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −11.3249 | + | 11.3977i | −0.810992 | + | 0.816207i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −0.985247 | − | 1.70650i | −0.0701960 | − | 0.121583i | 0.828791 | − | 0.559558i | \(-0.189029\pi\) |
−0.898987 | + | 0.437975i | \(0.855696\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −9.54813 | + | 16.5378i | −0.676849 | + | 1.17234i | 0.299076 | + | 0.954229i | \(0.403322\pi\) |
−0.975925 | + | 0.218108i | \(0.930012\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −1.55233 | − | 1.07955i | −0.109493 | − | 0.0761459i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 8.68513 | − | 3.16113i | 0.609577 | − | 0.221868i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 4.10438 | + | 23.2771i | 0.286662 | + | 1.62574i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −18.8889 | + | 11.0675i | −1.31287 | + | 0.769246i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 19.2108 | − | 16.1198i | 1.32884 | − | 1.11503i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 2.28118 | − | 12.9372i | 0.157043 | − | 0.890636i | −0.799851 | − | 0.600199i | \(-0.795088\pi\) |
0.956894 | − | 0.290437i | \(-0.0938007\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −22.3870 | + | 2.03093i | −1.53393 | + | 0.139157i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 31.9093 | 2.17620 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −1.61447 | −0.109598 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 1.66638 | − | 3.60368i | 0.112604 | − | 0.243514i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −4.04936 | + | 22.9651i | −0.272390 | + | 1.54480i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 7.26774 | − | 6.09836i | 0.486684 | − | 0.408376i | −0.366152 | − | 0.930555i | \(-0.619325\pi\) |
0.852836 | + | 0.522179i | \(0.174881\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 4.83500 | − | 5.83772i | 0.322333 | − | 0.389181i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −2.81997 | − | 15.9928i | −0.187168 | − | 1.06148i | −0.923138 | − | 0.384468i | \(-0.874385\pi\) |
0.735971 | − | 0.677013i | \(-0.236726\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 10.8055 | − | 3.93290i | 0.714051 | − | 0.259893i | 0.0406526 | − | 0.999173i | \(-0.487056\pi\) |
0.673398 | + | 0.739280i | \(0.264834\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −0.780971 | + | 9.26859i | −0.0513841 | + | 0.609828i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 4.03817 | − | 6.99432i | 0.264550 | − | 0.458213i | −0.702896 | − | 0.711293i | \(-0.748110\pi\) |
0.967446 | + | 0.253079i | \(0.0814434\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 11.1441 | + | 19.3022i | 0.726963 | + | 1.25914i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −0.0576250 | − | 0.212335i | −0.00374315 | − | 0.0137926i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −19.2571 | − | 16.1587i | −1.24564 | − | 1.04522i | −0.997062 | − | 0.0766050i | \(-0.975592\pi\) |
−0.248579 | − | 0.968612i | \(-0.579964\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −23.2303 | − | 8.45513i | −1.49639 | − | 0.544643i | −0.541269 | − | 0.840849i | \(-0.682056\pi\) |
−0.955124 | + | 0.296207i | \(0.904278\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −1.10960 | + | 15.5489i | −0.0711809 | + | 0.997463i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −14.2392 | − | 5.18265i | −0.909711 | − | 0.331108i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −14.6989 | − | 12.3339i | −0.935270 | − | 0.784784i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −0.152406 | − | 0.561580i | −0.00965831 | − | 0.0355887i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 5.39536 | + | 9.34503i | 0.340552 | + | 0.589853i | 0.984535 | − | 0.175186i | \(-0.0560528\pi\) |
−0.643983 | + | 0.765039i | \(0.722719\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 16.1245 | − | 27.9285i | 1.01374 | − | 1.75585i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 2.75157 | − | 32.6557i | 0.172310 | − | 2.04498i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 17.2648 | − | 6.28388i | 1.07695 | − | 0.391978i | 0.258178 | − | 0.966097i | \(-0.416878\pi\) |
0.818771 | + | 0.574120i | \(0.194656\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0.400065 | + | 2.26888i | 0.0248589 | + | 0.140982i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −14.5544 | + | 17.5728i | −0.900896 | + | 1.08773i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −13.8300 | + | 11.6047i | −0.852793 | + | 0.715578i | −0.960403 | − | 0.278615i | \(-0.910125\pi\) |
0.107610 | + | 0.994193i | \(0.465680\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −1.64832 | + | 9.34809i | −0.101255 | + | 0.574248i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0.528882 | − | 1.14375i | 0.0323670 | − | 0.0699962i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 10.1931 | 0.621484 | 0.310742 | − | 0.950494i | \(-0.399422\pi\) | ||||
0.310742 | + | 0.950494i | \(0.399422\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −26.4311 | −1.60558 | −0.802788 | − | 0.596264i | \(-0.796651\pi\) | ||||
−0.802788 | + | 0.596264i | \(0.796651\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 7.08776 | − | 0.642996i | 0.428971 | − | 0.0389159i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −1.93893 | + | 10.9962i | −0.116922 | + | 0.663096i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 14.4626 | − | 12.1356i | 0.868974 | − | 0.729156i | −0.0949078 | − | 0.995486i | \(-0.530256\pi\) |
0.963882 | + | 0.266330i | \(0.0858112\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 3.43889 | − | 2.01495i | 0.205881 | − | 0.120632i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 2.38751 | + | 13.5402i | 0.142427 | + | 0.807742i | 0.969397 | + | 0.245497i | \(0.0789511\pi\) |
−0.826971 | + | 0.562245i | \(0.809938\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 21.4086 | − | 7.79210i | 1.27261 | − | 0.463192i | 0.384629 | − | 0.923071i | \(-0.374329\pi\) |
0.887982 | + | 0.459879i | \(0.152107\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 22.1384 | + | 15.3960i | 1.31136 | + | 0.911977i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 5.23469 | − | 9.06675i | 0.308994 | − | 0.535193i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −15.2814 | − | 26.4681i | −0.898904 | − | 1.55695i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 18.9374 | − | 19.0592i | 1.11013 | − | 1.11727i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −17.5791 | − | 14.7506i | −1.02698 | − | 0.861738i | −0.0364913 | − | 0.999334i | \(-0.511618\pi\) |
−0.990488 | + | 0.137596i | \(0.956063\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −11.1746 | − | 4.06722i | −0.650610 | − | 0.236803i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −9.90419 | − | 20.7172i | −0.574699 | − | 1.20213i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −23.1869 | − | 8.43933i | −1.34093 | − | 0.488059i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −10.8272 | − | 9.08508i | −0.624068 | − | 0.523656i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 5.98631 | + | 1.58348i | 0.343904 | + | 0.0909686i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 1.43077 | + | 2.47817i | 0.0819258 | + | 0.141900i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 3.21670 | − | 5.57149i | 0.183587 | − | 0.317982i | −0.759513 | − | 0.650493i | \(-0.774563\pi\) |
0.943099 | + | 0.332511i | \(0.107896\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −9.36244 | + | 4.40237i | −0.532611 | + | 0.250442i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −23.0689 | + | 8.39640i | −1.30812 | + | 0.476116i | −0.899632 | − | 0.436648i | \(-0.856165\pi\) |
−0.408486 | + | 0.912765i | \(0.633943\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −2.62034 | − | 14.8607i | −0.148110 | − | 0.839975i | −0.964817 | − | 0.262922i | \(-0.915314\pi\) |
0.816707 | − | 0.577053i | \(-0.195797\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −9.83827 | + | 1.79985i | −0.554324 | + | 0.101410i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 6.36444 | − | 5.34040i | 0.357463 | − | 0.299947i | −0.446316 | − | 0.894875i | \(-0.647264\pi\) |
0.803778 | + | 0.594929i | \(0.202820\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 5.83660 | − | 33.1010i | 0.326787 | − | 1.85330i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 14.3285 | + | 20.3243i | 0.799740 | + | 1.13439i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 39.1365 | 2.17761 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 8.54339 | 0.473902 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 4.31057 | + | 6.11433i | 0.238375 | + | 0.338123i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 1.71431 | − | 9.72235i | 0.0945131 | − | 0.536010i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −15.8304 | + | 13.2833i | −0.870116 | + | 0.730114i | −0.964123 | − | 0.265458i | \(-0.914477\pi\) |
0.0940066 | + | 0.995572i | \(0.470033\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −3.68384 | − | 4.33351i | −0.201873 | − | 0.237475i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 0.520066 | + | 2.94944i | 0.0284142 | + | 0.161145i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 7.10765 | − | 2.58697i | 0.387178 | − | 0.140921i | −0.141094 | − | 0.989996i | \(-0.545062\pi\) |
0.528273 | + | 0.849075i | \(0.322840\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −3.30870 | + | 1.55580i | −0.179704 | + | 0.0844995i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −2.93562 | + | 5.08465i | −0.158973 | + | 0.275349i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 7.60911 | + | 13.1794i | 0.410853 | + | 0.711619i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 33.5235 | + | 8.86753i | 1.80484 | + | 0.477412i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 13.3897 | + | 11.2353i | 0.718797 | + | 0.603142i | 0.927052 | − | 0.374932i | \(-0.122334\pi\) |
−0.208255 | + | 0.978074i | \(0.566779\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −32.9344 | − | 11.9871i | −1.76294 | − | 0.641656i | −0.762948 | − | 0.646460i | \(-0.776249\pi\) |
−0.999988 | + | 0.00480334i | \(0.998471\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −14.2947 | + | 10.2155i | −0.762996 | + | 0.545263i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 7.00198 | + | 2.54851i | 0.372678 | + | 0.135644i | 0.521567 | − | 0.853210i | \(-0.325348\pi\) |
−0.148889 | + | 0.988854i | \(0.547570\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 27.2753 | + | 22.8867i | 1.44763 | + | 1.21470i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −10.2312 | + | 10.2970i | −0.541494 | + | 0.544976i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −5.52565 | − | 9.57071i | −0.291633 | − | 0.505123i | 0.682563 | − | 0.730827i | \(-0.260865\pi\) |
−0.974196 | + | 0.225704i | \(0.927532\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −6.60150 | + | 11.4341i | −0.347447 | + | 0.601796i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 12.1287 | + | 8.43481i | 0.636592 | + | 0.442713i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −5.90950 | + | 2.15088i | −0.309317 | + | 0.112582i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 4.40828 | + | 25.0006i | 0.230110 | + | 1.30502i | 0.852671 | + | 0.522448i | \(0.174981\pi\) |
−0.622561 | + | 0.782571i | \(0.713908\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 0.165677 | + | 25.8457i | 0.00862478 | + | 1.34547i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 3.22084 | − | 2.70260i | 0.167218 | − | 0.140312i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −1.65461 | + | 9.38375i | −0.0856724 | + | 0.485872i | 0.911537 | + | 0.411218i | \(0.134896\pi\) |
−0.997209 | + | 0.0746543i | \(0.976215\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 11.7048 | − | 1.06185i | 0.604435 | − | 0.0548339i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −25.7175 | −1.32452 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 25.6925 | 1.31973 | 0.659867 | − | 0.751383i | \(-0.270613\pi\) | ||||
0.659867 | + | 0.751383i | \(0.270613\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −0.862530 | + | 1.86529i | −0.0441888 | + | 0.0955616i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 1.62268 | − | 9.20268i | 0.0829151 | − | 0.470235i | −0.914872 | − | 0.403744i | \(-0.867709\pi\) |
0.997787 | − | 0.0664908i | \(-0.0211803\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 11.2861 | − | 9.47017i | 0.575194 | − | 0.482645i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 34.4010 | + | 5.83871i | 1.74870 | + | 0.296798i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 4.13660 | + | 23.4598i | 0.209734 | + | 1.18946i | 0.889815 | + | 0.456322i | \(0.150833\pi\) |
−0.680081 | + | 0.733137i | \(0.738055\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 47.2925 | − | 17.2131i | 2.39168 | − | 0.870502i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −0.342546 | + | 4.06534i | −0.0172791 | + | 0.205070i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −0.174246 | + | 0.301804i | −0.00876729 | + | 0.0151854i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 8.02016 | + | 13.8913i | 0.402520 | + | 0.697186i | 0.994029 | − | 0.109113i | \(-0.0348009\pi\) |
−0.591509 | + | 0.806298i | \(0.701468\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −3.12832 | − | 11.5272i | −0.156612 | − | 0.577079i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −10.5395 | − | 8.84371i | −0.526319 | − | 0.441634i | 0.340509 | − | 0.940241i | \(-0.389401\pi\) |
−0.866828 | + | 0.498607i | \(0.833845\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 4.22138 | + | 1.53646i | 0.210282 | + | 0.0765364i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 18.7096 | − | 16.1124i | 0.929688 | − | 0.800633i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 7.87311 | + | 2.86558i | 0.390255 | + | 0.142041i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 23.7786 | + | 19.9526i | 1.17577 | + | 0.986592i | 0.999998 | + | 0.00216143i | \(0.000688005\pi\) |
0.175776 | + | 0.984430i | \(0.443756\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −0.968027 | − | 3.56696i | −0.0477492 | − | 0.175945i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 2.63366 | + | 4.56163i | 0.129594 | + | 0.224463i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −0.460844 | + | 0.798204i | −0.0226219 | + | 0.0391823i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −0.739243 | + | 8.77336i | −0.0362009 | + | 0.429633i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −17.0934 | + | 6.22147i | −0.835065 | + | 0.303939i | −0.723936 | − | 0.689867i | \(-0.757669\pi\) |
−0.111129 | + | 0.993806i | \(0.535447\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 2.09530 | + | 11.8830i | 0.102118 | + | 0.579143i | 0.992332 | + | 0.123599i | \(0.0394438\pi\) |
−0.890214 | + | 0.455543i | \(0.849445\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 8.48244 | + | 22.8485i | 0.412431 | + | 1.11093i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −13.3486 | + | 11.2008i | −0.647500 | + | 0.543317i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0.220097 | − | 1.24823i | 0.0106512 | − | 0.0604062i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 10.8627 | − | 23.4915i | 0.524458 | − | 1.13418i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 31.4521 | 1.51499 | 0.757497 | − | 0.652839i | \(-0.226422\pi\) | ||||
0.757497 | + | 0.652839i | \(0.226422\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 11.4196 | 0.548790 | 0.274395 | − | 0.961617i | \(-0.411522\pi\) | ||||
0.274395 | + | 0.961617i | \(0.411522\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 35.9938 | − | 3.26533i | 1.72577 | − | 0.156560i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −7.19103 | + | 40.7824i | −0.343994 | + | 1.95089i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −28.9029 | + | 24.2524i | −1.37946 | + | 1.15751i | −0.410051 | + | 0.912063i | \(0.634489\pi\) |
−0.969411 | + | 0.245443i | \(0.921066\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −14.4028 | − | 8.19281i | −0.685847 | − | 0.390134i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −6.74656 | − | 38.2617i | −0.320539 | − | 1.81787i | −0.539330 | − | 0.842094i | \(-0.681322\pi\) |
0.218791 | − | 0.975772i | \(-0.429789\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −1.87557 | + | 0.682653i | −0.0889108 | + | 0.0323609i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −27.7955 | − | 19.3302i | −1.31468 | − | 0.914285i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −0.667026 | + | 1.15532i | −0.0314789 | + | 0.0545231i | −0.881336 | − | 0.472491i | \(-0.843355\pi\) |
0.849857 | + | 0.527014i | \(0.176688\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −19.0367 | − | 32.9724i | −0.896401 | − | 1.55261i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 18.1486 | − | 18.2653i | 0.852697 | − | 0.858180i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −8.63542 | − | 7.24598i | −0.404835 | − | 0.339697i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −4.65364 | − | 1.69379i | −0.217688 | − | 0.0792320i | 0.230874 | − | 0.972984i | \(-0.425841\pi\) |
−0.448562 | + | 0.893752i | \(0.648064\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 8.94170 | − | 34.7022i | 0.417363 | − | 1.61976i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −4.92960 | − | 1.79423i | −0.229595 | − | 0.0835656i | 0.224661 | − | 0.974437i | \(-0.427873\pi\) |
−0.454256 | + | 0.890871i | \(0.650095\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −13.4228 | − | 11.2631i | −0.623810 | − | 0.523439i | 0.275188 | − | 0.961390i | \(-0.411260\pi\) |
−0.898999 | + | 0.437951i | \(0.855704\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −6.10326 | − | 1.61442i | −0.283032 | − | 0.0748667i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 10.6448 | + | 18.4373i | 0.492582 | + | 0.853177i | 0.999963 | − | 0.00854451i | \(-0.00271984\pi\) |
−0.507382 | + | 0.861722i | \(0.669387\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0.663288 | − | 1.14885i | 0.0306278 | − | 0.0530489i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −11.1781 | + | 5.25614i | −0.515062 | + | 0.242190i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −48.3000 | + | 17.5797i | −2.22083 | + | 0.808318i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −2.48981 | − | 14.1204i | −0.114240 | − | 0.647888i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −3.48752 | + | 9.77643i | −0.159683 | + | 0.447632i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 12.4592 | − | 10.4545i | 0.569274 | − | 0.477678i | −0.312131 | − | 0.950039i | \(-0.601043\pi\) |
0.881405 | + | 0.472361i | \(0.156598\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 1.11319 | − | 6.31322i | 0.0507571 | − | 0.287858i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −8.85015 | − | 12.5535i | −0.402696 | − | 0.571204i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −42.5572 | −1.93242 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 6.57072 | 0.297748 | 0.148874 | − | 0.988856i | \(-0.452435\pi\) | ||||
0.148874 | + | 0.988856i | \(0.452435\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −15.7278 | − | 22.3091i | −0.711235 | − | 1.00885i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 0.576334 | − | 3.26855i | 0.0260096 | − | 0.147508i | −0.969037 | − | 0.246914i | \(-0.920583\pi\) |
0.995047 | + | 0.0994067i | \(0.0316945\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 40.1821 | − | 33.7168i | 1.80971 | − | 1.51853i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −12.2206 | + | 34.2575i | −0.549275 | + | 1.53976i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −2.73861 | − | 15.5314i | −0.122843 | − | 0.696680i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −3.17872 | + | 1.15696i | −0.142299 | + | 0.0517926i | −0.412188 | − | 0.911099i | \(-0.635235\pi\) |
0.269889 | + | 0.962891i | \(0.413013\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 34.6602 | − | 16.2978i | 1.54850 | − | 0.728130i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 8.27598 | − | 14.3344i | 0.369008 | − | 0.639140i | −0.620403 | − | 0.784283i | \(-0.713031\pi\) |
0.989411 | + | 0.145143i | \(0.0463643\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −4.90405 | − | 8.49407i | −0.218228 | − | 0.377981i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 2.62360 | + | 0.693987i | 0.116518 | + | 0.0308210i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 8.26998 | + | 6.93933i | 0.366560 | + | 0.307581i | 0.807399 | − | 0.590006i | \(-0.200875\pi\) |
−0.440839 | + | 0.897586i | \(0.645319\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 2.61755 | + | 0.952709i | 0.115793 | + | 0.0421454i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 21.0499 | + | 20.6490i | 0.929378 | + | 0.911675i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 15.3990 | + | 5.60477i | 0.678560 | + | 0.246976i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −27.5026 | − | 23.0774i | −1.20956 | − | 1.01494i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 3.07194 | − | 3.09170i | 0.134843 | − | 0.135710i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −7.97626 | − | 13.8153i | −0.349446 | − | 0.605259i | 0.636705 | − | 0.771108i | \(-0.280297\pi\) |
−0.986151 | + | 0.165849i | \(0.946964\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 7.01790 | − | 12.1554i | 0.306872 | − | 0.531517i | −0.670805 | − | 0.741634i | \(-0.734051\pi\) |
0.977676 | + | 0.210117i | \(0.0673845\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 4.36605 | + | 3.03633i | 0.190550 | + | 0.132516i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −8.61003 | + | 3.13380i | −0.375059 | + | 0.136510i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 5.25342 | + | 29.7936i | 0.228409 | + | 1.29537i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −11.3030 | − | 6.42952i | −0.490507 | − | 0.279017i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −22.3158 | + | 18.7252i | −0.966607 | + | 0.811079i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 6.83974 | − | 38.7901i | 0.295708 | − | 1.67704i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 12.7537 | − | 1.15701i | 0.550364 | − | 0.0499286i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 24.4086 | 1.05135 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −19.1757 | −0.824427 | −0.412214 | − | 0.911087i | \(-0.635244\pi\) | ||||
−0.412214 | + | 0.911087i | \(0.635244\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 15.4118 | − | 33.3293i | 0.661385 | − | 1.43030i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 2.05766 | − | 11.6696i | 0.0881404 | − | 0.499869i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 7.23561 | − | 6.07140i | 0.309372 | − | 0.259594i | −0.474860 | − | 0.880061i | \(-0.657501\pi\) |
0.784232 | + | 0.620467i | \(0.213057\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 1.08904 | + | 2.93348i | 0.0464793 | + | 0.125198i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 7.49487 | + | 42.5055i | 0.319292 | + | 1.81080i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.145052 | − | 0.0527945i | 0.00616823 | − | 0.00224505i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −0.756420 | + | 8.97721i | −0.0321082 | + | 0.381061i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 2.31236 | − | 4.00512i | 0.0979777 | − | 0.169702i | −0.812870 | − | 0.582445i | \(-0.802096\pi\) |
0.910847 | + | 0.412743i | \(0.135429\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 19.6639 | + | 34.0589i | 0.831695 | + | 1.44054i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 13.8260 | + | 50.9456i | 0.583734 | + | 2.15093i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 17.8915 | + | 15.0128i | 0.754039 | + | 0.632714i | 0.936568 | − | 0.350487i | \(-0.113984\pi\) |
−0.182529 | + | 0.983200i | \(0.558428\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 5.44201 | + | 1.98073i | 0.228947 | + | 0.0833299i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −10.9358 | + | 0.140208i | −0.459262 | + | 0.00588817i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −28.5038 | − | 10.3745i | −1.19494 | − | 0.434923i | −0.333486 | − | 0.942755i | \(-0.608225\pi\) |
−0.861456 | + | 0.507832i | \(0.830447\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −24.8906 | − | 20.8857i | −1.04164 | − | 0.874039i | −0.0494492 | − | 0.998777i | \(-0.515747\pi\) |
−0.992190 | + | 0.124738i | \(0.960191\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 7.88774 | + | 29.0645i | 0.329515 | + | 1.21419i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −9.21913 | − | 15.9680i | −0.384464 | − | 0.665912i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 13.6831 | − | 23.6998i | 0.569635 | − | 0.986638i | −0.426966 | − | 0.904268i | \(-0.640418\pi\) |
0.996602 | − | 0.0823700i | \(-0.0262489\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −2.74896 | + | 32.6247i | −0.114243 | + | 1.35584i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 0.383630 | − | 0.139630i | 0.0159157 | − | 0.00579283i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −2.65512 | − | 15.0580i | −0.109964 | − | 0.623637i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 27.4371 | + | 4.65677i | 1.13439 | + | 0.192534i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 3.23852 | − | 2.71744i | 0.133668 | − | 0.112161i | −0.573503 | − | 0.819204i | \(-0.694416\pi\) |
0.707171 | + | 0.707043i | \(0.249971\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 1.30919 | − | 7.42481i | 0.0539444 | − | 0.305934i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −1.43247 | + | 3.09783i | −0.0589241 | + | 0.127428i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 20.8347 | 0.855577 | 0.427788 | − | 0.903879i | \(-0.359293\pi\) | ||||
0.427788 | + | 0.903879i | \(0.359293\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 22.9921 | 0.942586 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 32.9404 | − | 2.98833i | 1.34816 | − | 0.122304i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −0.453056 | + | 2.56941i | −0.0185113 | + | 0.104983i | −0.992663 | − | 0.120910i | \(-0.961419\pi\) |
0.974152 | + | 0.225893i | \(0.0725299\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 17.6107 | − | 14.7771i | 0.718356 | − | 0.602772i | −0.208574 | − | 0.978007i | \(-0.566882\pi\) |
0.926930 | + | 0.375234i | \(0.122438\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0.0209929 | + | 3.27491i | 0.000854896 | + | 0.133365i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −4.06340 | − | 23.0447i | −0.165201 | − | 0.936900i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −29.1567 | + | 10.6122i | −1.18343 | + | 0.430735i | −0.857413 | − | 0.514628i | \(-0.827930\pi\) |
−0.326020 | + | 0.945363i | \(0.605708\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −13.1428 | − | 9.14003i | −0.532572 | − | 0.370373i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −13.7350 | + | 23.7897i | −0.555658 | + | 0.962428i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −17.2282 | − | 29.8402i | −0.695841 | − | 1.20523i | −0.969896 | − | 0.243519i | \(-0.921698\pi\) |
0.274055 | − | 0.961714i | \(-0.411635\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 28.8554 | − | 29.0409i | 1.16356 | − | 1.17104i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 34.4645 | + | 28.9191i | 1.38749 | + | 1.16424i | 0.966347 | + | 0.257244i | \(0.0828144\pi\) |
0.421140 | + | 0.906996i | \(0.361630\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −2.87785 | − | 1.04745i | −0.115671 | − | 0.0421007i | 0.283536 | − | 0.958961i | \(-0.408492\pi\) |
−0.399207 | + | 0.916861i | \(0.630715\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 34.5186 | + | 15.6940i | 1.38518 | + | 0.629779i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 0.830765 | + | 0.302374i | 0.0332839 | + | 0.0121143i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −23.9383 | − | 20.0867i | −0.957534 | − | 0.803466i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −41.9921 | − | 11.1076i | −1.67700 | − | 0.443596i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 6.53761 | + | 11.3235i | 0.260672 | + | 0.451497i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −10.3957 | + | 18.0058i | −0.413845 | + | 0.716801i | −0.995306 | − | 0.0967734i | \(-0.969148\pi\) |
0.581461 | + | 0.813574i | \(0.302481\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −20.5909 | + | 9.68214i | −0.818413 | + | 0.384831i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 3.05879 | − | 1.11331i | 0.121385 | − | 0.0441803i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −3.24304 | − | 18.3922i | −0.128494 | − | 0.728726i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 25.2174 | + | 29.6646i | 0.997584 | + | 1.17352i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −28.0744 | + | 23.5573i | −1.10887 | + | 0.930456i | −0.997990 | − | 0.0633777i | \(-0.979813\pi\) |
−0.110884 | + | 0.993833i | \(0.535368\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −7.93278 | + | 44.9890i | −0.312838 | + | 1.77419i | 0.271255 | + | 0.962508i | \(0.412561\pi\) |
−0.584093 | + | 0.811687i | \(0.698550\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −31.8457 | − | 45.1715i | −1.25392 | − | 1.77863i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −27.2549 | −1.07150 | −0.535751 | − | 0.844376i | \(-0.679971\pi\) | ||||
−0.535751 | + | 0.844376i | \(0.679971\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 19.1553 | 0.751912 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 1.61125 | + | 2.28548i | 0.0631500 | + | 0.0895751i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 7.03940 | − | 39.9224i | 0.275473 | − | 1.56229i | −0.461982 | − | 0.886889i | \(-0.652861\pi\) |
0.737455 | − | 0.675396i | \(-0.236027\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 4.95026 | − | 4.15376i | 0.193423 | − | 0.162301i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −6.76451 | + | 1.23753i | −0.263909 | + | 0.0482805i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −7.91790 | − | 44.9047i | −0.308438 | − | 1.74924i | −0.606865 | − | 0.794805i | \(-0.707573\pi\) |
0.298428 | − | 0.954432i | \(-0.403538\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 41.4628 | − | 15.0912i | 1.61272 | − | 0.586981i | 0.630742 | − | 0.775993i | \(-0.282751\pi\) |
0.981975 | + | 0.189012i | \(0.0605285\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 36.5512 | − | 17.1869i | 1.41953 | − | 0.667485i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −9.45941 | + | 16.3842i | −0.366820 | + | 0.635351i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 27.7516 | + | 48.0672i | 1.07455 | + | 1.86117i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −15.8862 | − | 4.20217i | −0.614196 | − | 0.162465i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −3.53100 | − | 2.96286i | −0.136313 | − | 0.114380i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −31.5116 | − | 11.4693i | −1.21468 | − | 0.442109i | −0.346358 | − | 0.938103i | \(-0.612582\pi\) |
−0.868326 | + | 0.495994i | \(0.834804\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −13.0894 | − | 1.01845i | −0.503810 | − | 0.0392003i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −0.549795 | − | 0.200109i | −0.0211303 | − | 0.00769081i | 0.331433 | − | 0.943479i | \(-0.392468\pi\) |
−0.352564 | + | 0.935788i | \(0.614690\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 14.4401 | + | 12.1167i | 0.554161 | + | 0.464996i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −19.8254 | + | 19.9529i | −0.759713 | + | 0.764598i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −4.43878 | − | 7.68819i | −0.169845 | − | 0.294181i | 0.768520 | − | 0.639826i | \(-0.220993\pi\) |
−0.938365 | + | 0.345645i | \(0.887660\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −2.92712 | + | 5.06991i | −0.111839 | + | 0.193711i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −16.3515 | − | 11.3715i | −0.623848 | − | 0.433850i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −10.9936 | + | 4.00134i | −0.418822 | + | 0.152439i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 0.205996 | + | 1.16826i | 0.00783646 | + | 0.0444428i | 0.988475 | − | 0.151383i | \(-0.0483725\pi\) |
−0.980639 | + | 0.195825i | \(0.937261\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 13.9002 | − | 8.14455i | 0.528026 | − | 0.309386i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 10.6831 | − | 8.96417i | 0.405232 | − | 0.340030i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 10.3176 | − | 58.5142i | 0.390808 | − | 2.21638i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −13.9314 | + | 1.26385i | −0.526935 | + | 0.0478031i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 18.8838 | 0.713229 | 0.356615 | − | 0.934252i | \(-0.383931\pi\) | ||||
0.356615 | + | 0.934252i | \(0.383931\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −10.7588 | −0.405776 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 16.2027 | − | 35.0396i | 0.610229 | − | 1.31967i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −0.754396 | + | 4.27839i | −0.0283720 | + | 0.160905i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −7.23538 | + | 6.07120i | −0.271730 | + | 0.228009i | −0.768462 | − | 0.639895i | \(-0.778978\pi\) |
0.496732 | + | 0.867904i | \(0.334533\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −0.243076 | + | 0.293487i | −0.00911606 | + | 0.0110066i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −1.68356 | − | 9.54795i | −0.0630499 | − | 0.357574i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −38.5225 | + | 14.0211i | −1.44066 | + | 0.524358i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −3.65581 | + | 43.3873i | −0.136529 | + | 1.62033i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −19.7948 | + | 34.2856i | −0.738221 | + | 1.27864i | 0.215075 | + | 0.976598i | \(0.431000\pi\) |
−0.953296 | + | 0.302038i | \(0.902333\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −3.62927 | − | 6.28608i | −0.135161 | − | 0.234106i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 11.2147 | + | 41.3235i | 0.417079 | + | 1.53684i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −14.7213 | − | 12.3527i | −0.546736 | − | 0.458766i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 11.2443 | + | 4.09258i | 0.417026 | + | 0.151785i | 0.542007 | − | 0.840374i | \(-0.317665\pi\) |
−0.124981 | + | 0.992159i | \(0.539887\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 23.1188 | − | 13.9471i | 0.856251 | − | 0.516561i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −75.3765 | − | 27.4348i | −2.78790 | − | 1.01471i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 20.8099 | + | 17.4616i | 0.768632 | + | 0.644959i | 0.940358 | − | 0.340186i | \(-0.110490\pi\) |
−0.171726 | + | 0.985145i | \(0.554934\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 6.87415 | + | 25.3297i | 0.253557 | + | 0.934299i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −2.41213 | − | 4.17794i | −0.0888521 | − | 0.153896i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 8.56993 | − | 14.8436i | 0.315250 | − | 0.546029i | −0.664241 | − | 0.747519i | \(-0.731245\pi\) |
0.979491 | + | 0.201490i | \(0.0645783\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −2.79047 | + | 33.1174i | −0.102510 | + | 1.21660i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 3.61146 | − | 1.31446i | 0.132492 | − | 0.0482230i | −0.274923 | − | 0.961466i | \(-0.588653\pi\) |
0.407415 | + | 0.913243i | \(0.366430\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 9.31214 | + | 52.8118i | 0.341171 | + | 1.93487i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −0.642882 | + | 0.776208i | −0.0235218 | + | 0.0284000i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −13.3649 | + | 11.2145i | −0.488344 | + | 0.409770i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 0.229212 | − | 1.29993i | 0.00836407 | − | 0.0474350i | −0.980340 | − | 0.197315i | \(-0.936778\pi\) |
0.988704 | + | 0.149880i | \(0.0478888\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 7.84443 | − | 16.9642i | 0.285867 | − | 0.618209i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −40.7846 | −1.48430 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −36.3500 | −1.32116 | −0.660582 | − | 0.750754i | \(-0.729690\pi\) | ||||
−0.660582 | + | 0.750754i | \(0.729690\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −55.6286 | + | 5.04658i | −2.01919 | + | 0.183179i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −0.133864 | + | 0.759178i | −0.00485255 | + | 0.0275202i | −0.987138 | − | 0.159871i | \(-0.948892\pi\) |
0.982285 | + | 0.187391i | \(0.0600032\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −4.02069 | + | 3.37376i | −0.145559 | + | 0.122138i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −48.9742 | + | 28.6954i | −1.77067 | + | 1.03748i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −2.54506 | − | 14.4338i | −0.0918968 | − | 0.521173i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −19.8552 | + | 7.22671i | −0.715998 | + | 0.260602i | −0.674226 | − | 0.738525i | \(-0.735523\pi\) |
−0.0417720 | + | 0.999127i | \(0.513300\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −26.1260 | − | 18.1691i | −0.940904 | − | 0.654344i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −21.6523 | + | 37.5029i | −0.778780 | + | 1.34889i | 0.153865 | + | 0.988092i | \(0.450828\pi\) |
−0.932645 | + | 0.360795i | \(0.882505\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 1.67843 | + | 2.90712i | 0.0602909 | + | 0.104427i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 2.81261 | − | 2.83070i | 0.100902 | − | 0.101551i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 37.4523 | + | 31.4262i | 1.34187 | + | 1.12596i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −53.8946 | − | 19.6160i | −1.92850 | − | 0.701917i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 39.4019 | + | 3.06577i | 1.40811 | + | 0.109562i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 18.3854 | + | 6.69172i | 0.656202 | + | 0.238838i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −3.74777 | − | 3.14475i | −0.133594 | − | 0.112098i | 0.573543 | − | 0.819176i | \(-0.305569\pi\) |
−0.707136 | + | 0.707078i | \(0.750013\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 30.2303 | + | 7.99642i | 1.07623 | + | 0.284680i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −1.28259 | − | 2.22151i | −0.0456036 | − | 0.0789877i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −1.76341 | + | 3.05431i | −0.0626204 | + | 0.108462i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 14.8784 | − | 6.99605i | 0.527682 | − | 0.248124i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 41.7349 | − | 15.1903i | 1.47833 | − | 0.538067i | 0.527979 | − | 0.849257i | \(-0.322950\pi\) |
0.950348 | + | 0.311191i | \(0.100728\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −9.72923 | − | 55.1772i | −0.344195 | − | 1.95203i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −2.14694 | + | 0.392770i | −0.0758584 | + | 0.0138778i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 7.76001 | − | 6.51142i | 0.273845 | − | 0.229783i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −4.22464 | + | 23.9591i | −0.148899 | + | 0.844447i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −10.1728 | − | 14.4296i | −0.358098 | − | 0.507945i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 12.5260 | 0.440390 | 0.220195 | − | 0.975456i | \(-0.429331\pi\) | ||||
0.220195 | + | 0.975456i | \(0.429331\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −17.0671 | −0.599308 | −0.299654 | − | 0.954048i | \(-0.596871\pi\) | ||||
−0.299654 | + | 0.954048i | \(0.596871\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 26.3784 | + | 37.4165i | 0.925131 | + | 1.31225i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −7.50769 | + | 42.5782i | −0.262983 | + | 1.49145i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 50.5614 | − | 42.4260i | 1.76892 | − | 1.48430i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −7.98386 | − | 9.39187i | −0.278979 | − | 0.328179i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −3.36441 | − | 19.0805i | −0.117419 | − | 0.665915i | −0.985524 | − | 0.169535i | \(-0.945773\pi\) |
0.868105 | − | 0.496380i | \(-0.165338\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 26.1566 | − | 9.52024i | 0.911763 | − | 0.331855i | 0.156807 | − | 0.987629i | \(-0.449880\pi\) |
0.754957 | + | 0.655775i | \(0.227658\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 17.5015 | − | 8.22949i | 0.609325 | − | 0.286514i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −5.93497 | + | 10.2797i | −0.206379 | + | 0.357459i | −0.950571 | − | 0.310507i | \(-0.899501\pi\) |
0.744192 | + | 0.667966i | \(0.232835\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −1.91222 | − | 3.31206i | −0.0664140 | − | 0.115032i | 0.830906 | − | 0.556412i | \(-0.187822\pi\) |
−0.897320 | + | 0.441380i | \(0.854489\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −31.6131 | − | 8.36221i | −1.09665 | − | 0.290082i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 29.1801 | + | 24.4850i | 1.01103 | + | 0.848355i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −57.0077 | − | 20.7491i | −1.97283 | − | 0.718052i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −6.28443 | − | 2.85724i | −0.217222 | − | 0.0987607i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 42.9700 | + | 15.6398i | 1.48349 | + | 0.539946i | 0.951727 | − | 0.306947i | \(-0.0993075\pi\) |
0.531763 | + | 0.846893i | \(0.321530\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 22.0991 | + | 18.5434i | 0.762039 | + | 0.639427i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 16.7851 | − | 16.8930i | 0.578109 | − | 0.581827i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −2.14929 | − | 3.72267i | −0.0739377 | − | 0.128064i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −5.18243 | + | 8.97623i | −0.178070 | + | 0.308427i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −32.3966 | − | 22.5299i | −1.11185 | − | 0.773226i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −13.0009 | + | 4.73195i | −0.445666 | + | 0.162209i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 4.12463 | + | 23.3919i | 0.141225 | + | 0.800924i | 0.970321 | + | 0.241819i | \(0.0777441\pi\) |
−0.829097 | + | 0.559105i | \(0.811145\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −0.299388 | − | 46.7048i | −0.0102389 | − | 1.59727i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 9.97246 | − | 8.36789i | 0.340653 | − | 0.285842i | −0.456371 | − | 0.889790i | \(-0.650851\pi\) |
0.797024 | + | 0.603948i | \(0.206407\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −0.261289 | + | 1.48184i | −0.00891505 | + | 0.0505598i | −0.988941 | − | 0.148311i | \(-0.952616\pi\) |
0.980026 | + | 0.198871i | \(0.0637274\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −18.0593 | + | 1.63833i | −0.615461 | + | 0.0558341i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −4.45471 | −0.151640 | −0.0758201 | − | 0.997122i | \(-0.524157\pi\) | ||||
−0.0758201 | + | 0.997122i | \(0.524157\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −6.90343 | −0.234724 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −22.2179 | + | 48.0479i | −0.754560 | + | 1.63179i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 0.0974781 | − | 0.552826i | 0.00330672 | − | 0.0187533i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −2.82764 | + | 2.37267i | −0.0958110 | + | 0.0803950i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −45.8803 | − | 7.78703i | −1.55281 | − | 0.263551i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 1.43186 | + | 8.12047i | 0.0484056 | + | 0.274522i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −48.9183 | + | 17.8048i | −1.65185 | + | 0.601225i | −0.989052 | − | 0.147570i | \(-0.952855\pi\) |
−0.662802 | + | 0.748795i | \(0.730633\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −3.33724 | + | 39.6065i | −0.112562 | + | 1.33589i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −9.36235 | + | 16.2161i | −0.315425 | + | 0.546333i | −0.979528 | − | 0.201309i | \(-0.935481\pi\) |
0.664102 | + | 0.747642i | \(0.268814\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −8.04852 | − | 13.9404i | −0.270854 | − | 0.469133i | 0.698227 | − | 0.715877i | \(-0.253973\pi\) |
−0.969081 | + | 0.246744i | \(0.920639\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 5.39467 | + | 19.8781i | 0.181340 | + | 0.668195i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −26.2137 | − | 21.9959i | −0.880169 | − | 0.738549i | 0.0860452 | − | 0.996291i | \(-0.472577\pi\) |
−0.966214 | + | 0.257742i | \(0.917021\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −1.35486 | − | 0.493128i | −0.0454405 | − | 0.0165390i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −19.4432 | + | 34.6964i | −0.651373 | + | 1.16237i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 43.3220 | + | 15.7679i | 1.44972 | + | 0.527654i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −15.5386 | − | 13.0384i | −0.519398 | − | 0.435827i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 11.1937 | + | 41.2463i | 0.373748 | + | 1.37717i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −5.05244 | − | 8.75109i | −0.168508 | − | 0.291865i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 11.9309 | − | 20.6649i | 0.397476 | − | 0.688449i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −2.05545 | + | 24.3942i | −0.0684011 | + | 0.811787i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −54.6550 | + | 19.8928i | −1.81679 | + | 0.661259i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −0.671299 | − | 3.80713i | −0.0222901 | − | 0.126414i | 0.971632 | − | 0.236497i | \(-0.0759993\pi\) |
−0.993922 | + | 0.110083i | \(0.964888\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −3.73276 | − | 10.0547i | −0.123808 | − | 0.333492i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −7.99620 | + | 6.70961i | −0.264926 | + | 0.222299i | −0.765568 | − | 0.643355i | \(-0.777542\pi\) |
0.500642 | + | 0.865655i | \(0.333097\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 0.257808 | − | 1.46210i | 0.00853221 | − | 0.0483886i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 2.08023 | − | 4.49866i | 0.0687703 | − | 0.148721i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −2.86232 | −0.0945221 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −33.1736 | −1.09430 | −0.547149 | − | 0.837035i | \(-0.684287\pi\) | ||||
−0.547149 | + | 0.837035i | \(0.684287\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −11.0974 | + | 1.00675i | −0.365672 | + | 0.0331734i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −7.62024 | + | 43.2165i | −0.250823 | + | 1.42249i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 3.66959 | − | 3.07915i | 0.120655 | − | 0.101242i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 15.5759 | + | 8.86009i | 0.511578 | + | 0.291004i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 5.58853 | + | 31.6941i | 0.183354 | + | 1.03985i | 0.928052 | + | 0.372450i | \(0.121482\pi\) |
−0.744698 | + | 0.667401i | \(0.767407\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −29.4533 | + | 10.7201i | −0.965291 | + | 0.351337i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 34.9090 | + | 24.2772i | 1.14287 | + | 0.794800i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 41.8070 | − | 72.4118i | 1.36724 | − | 2.36812i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 10.1788 | + | 17.6302i | 0.332526 | + | 0.575953i | 0.983007 | − | 0.183571i | \(-0.0587656\pi\) |
−0.650480 | + | 0.759523i | \(0.725432\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −18.4220 | + | 18.5404i | −0.601178 | + | 0.605044i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −20.6950 | − | 17.3651i | −0.674637 | − | 0.566088i | 0.239797 | − | 0.970823i | \(-0.422919\pi\) |
−0.914434 | + | 0.404735i | \(0.867364\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 59.0792 | + | 21.5031i | 1.92388 | + | 0.700237i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 12.3666 | + | 12.1310i | 0.402284 | + | 0.394622i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 24.8949 | + | 9.06099i | 0.808974 | + | 0.294443i | 0.713200 | − | 0.700961i | \(-0.247245\pi\) |
0.0957742 | + | 0.995403i | \(0.469467\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −5.93747 | − | 4.98213i | −0.192738 | − | 0.161727i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −13.9117 | − | 3.67989i | −0.451119 | − | 0.119329i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −1.78536 | − | 3.09233i | −0.0578333 | − | 0.100170i | 0.835659 | − | 0.549248i | \(-0.185086\pi\) |
−0.893493 | + | 0.449078i | \(0.851753\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 23.8509 | − | 41.3110i | 0.771798 | − | 1.33679i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −52.6835 | + | 24.7726i | −1.70302 | + | 0.800784i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 2.43669 | − | 0.886881i | 0.0786847 | − | 0.0286389i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −5.07659 | − | 28.7907i | −0.163761 | − | 0.928734i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 14.4716 | − | 40.5675i | 0.466339 | − | 1.30727i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 39.7262 | − | 33.3343i | 1.27883 | − | 1.07307i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −3.75489 | + | 21.2950i | −0.120749 | + | 0.684802i | 0.862993 | + | 0.505216i | \(0.168587\pi\) |
−0.983742 | + | 0.179587i | \(0.942524\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −39.0584 | − | 55.4024i | −1.25474 | − | 1.77978i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −43.3953 | −1.39262 | −0.696310 | − | 0.717741i | \(-0.745176\pi\) | ||||
−0.696310 | + | 0.717741i | \(0.745176\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −6.17712 | −0.198029 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −8.52636 | − | 12.0942i | −0.273062 | − | 0.387325i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 4.99692 | − | 28.3389i | 0.159866 | − | 0.906643i | −0.794336 | − | 0.607478i | \(-0.792181\pi\) |
0.954202 | − | 0.299164i | \(-0.0967078\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 2.46289 | − | 2.06661i | 0.0787144 | − | 0.0660493i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 4.35360 | − | 12.2043i | 0.139000 | − | 0.389652i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 0.715981 | + | 4.06053i | 0.0228362 | + | 0.129511i | 0.994095 | − | 0.108517i | \(-0.0346102\pi\) |
−0.971258 | + | 0.238028i | \(0.923499\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 5.07998 | − | 1.84896i | 0.161862 | − | 0.0589129i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −15.4741 | + | 7.27614i | −0.492545 | + | 0.231602i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 42.4384 | − | 73.5056i | 1.34946 | − | 2.33734i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 2.71021 | + | 4.69422i | 0.0860926 | + | 0.149117i | 0.905856 | − | 0.423585i | \(-0.139229\pi\) |
−0.819764 | + | 0.572702i | \(0.805895\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 34.6029 | + | 9.15305i | 1.09809 | + | 0.290463i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −40.1332 | − | 33.6757i | −1.27231 | − | 1.06759i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −4.10395 | − | 1.49372i | −0.129973 | − | 0.0473064i | 0.276215 | − | 0.961096i | \(-0.410920\pi\) |
−0.406188 | + | 0.913790i | \(0.633142\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −2.45812 | + | 9.53980i | −0.0777714 | + | 0.301826i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 864.2.y.d.193.4 | ✓ | 60 | |
4.3 | odd | 2 | inner | 864.2.y.d.193.7 | yes | 60 | |
27.7 | even | 9 | inner | 864.2.y.d.385.4 | yes | 60 | |
108.7 | odd | 18 | inner | 864.2.y.d.385.7 | yes | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
864.2.y.d.193.4 | ✓ | 60 | 1.1 | even | 1 | trivial | |
864.2.y.d.193.7 | yes | 60 | 4.3 | odd | 2 | inner | |
864.2.y.d.385.4 | yes | 60 | 27.7 | even | 9 | inner | |
864.2.y.d.385.7 | yes | 60 | 108.7 | odd | 18 | inner |