Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [288,2,Mod(35,288)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(288, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([4, 3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("288.35");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 288 = 2^{5} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 288.w (of order \(8\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.29969157821\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 107.5 | ||
Character | \(\chi\) | \(=\) | 288.107 |
Dual form | 288.2.w.a.35.5 |
$q$-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 \(\left(\mathbb{Z}/288\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{5}{8}\right)\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.349793 | − | 1.37027i | 0.247341 | − | 0.968928i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.75529 | − | 0.958624i | −0.877645 | − | 0.479312i | ||||
\(5\) | −2.97412 | − | 1.23192i | −1.33007 | − | 0.550931i | −0.399391 | − | 0.916781i | \(-0.630778\pi\) |
−0.930674 | + | 0.365850i | \(0.880778\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.237717 | − | 0.237717i | 0.0898485 | − | 0.0898485i | −0.660754 | − | 0.750603i | \(-0.729763\pi\) |
0.750603 | + | 0.660754i | \(0.229763\pi\) | |||||||
\(8\) | −1.92756 | + | 2.06990i | −0.681497 | + | 0.731821i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −2.72839 | + | 3.64443i | −0.862793 | + | 1.15247i | ||||
\(11\) | −2.12394 | − | 0.879764i | −0.640391 | − | 0.265259i | 0.0387695 | − | 0.999248i | \(-0.487656\pi\) |
−0.679161 | + | 0.733989i | \(0.737656\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.0390635 | + | 0.0943077i | 0.0108343 | + | 0.0261562i | 0.929204 | − | 0.369567i | \(-0.120494\pi\) |
−0.918370 | + | 0.395723i | \(0.870494\pi\) | |||||||
\(14\) | −0.242585 | − | 0.408888i | −0.0648335 | − | 0.109280i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.16208 | + | 3.36532i | 0.540520 | + | 0.841331i | ||||
\(17\) | −4.16112 | −1.00922 | −0.504609 | − | 0.863348i | \(-0.668364\pi\) | ||||
−0.504609 | + | 0.863348i | \(0.668364\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −4.25390 | + | 1.76202i | −0.975912 | + | 0.404236i | −0.812910 | − | 0.582390i | \(-0.802118\pi\) |
−0.163002 | + | 0.986626i | \(0.552118\pi\) | |||||||
\(20\) | 4.03949 | + | 5.01343i | 0.903257 | + | 1.12104i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.94845 | + | 2.60264i | −0.415412 | + | 0.554884i | ||||
\(23\) | 4.84847 | − | 4.84847i | 1.01098 | − | 1.01098i | 0.0110368 | − | 0.999939i | \(-0.496487\pi\) |
0.999939 | − | 0.0110368i | \(-0.00351321\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 3.79221 | + | 3.79221i | 0.758441 | + | 0.758441i | ||||
\(26\) | 0.142891 | − | 0.0205395i | 0.0280233 | − | 0.00402812i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.645142 | + | 0.189381i | −0.121920 | + | 0.0357896i | ||||
\(29\) | −2.90419 | − | 7.01132i | −0.539294 | − | 1.30197i | −0.925217 | − | 0.379439i | \(-0.876117\pi\) |
0.385923 | − | 0.922531i | \(-0.373883\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − | 9.88480i | − | 1.77536i | −0.460459 | − | 0.887681i | \(-0.652315\pi\) | ||
0.460459 | − | 0.887681i | \(-0.347685\pi\) | |||||||
\(32\) | 5.36769 | − | 1.78547i | 0.948882 | − | 0.315630i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −1.45553 | + | 5.70186i | −0.249621 | + | 0.977861i | ||||
\(35\) | −0.999845 | + | 0.414149i | −0.169005 | + | 0.0700040i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.175641 | − | 0.424034i | 0.0288752 | − | 0.0697108i | −0.908784 | − | 0.417266i | \(-0.862988\pi\) |
0.937659 | + | 0.347556i | \(0.112988\pi\) | |||||||
\(38\) | 0.926465 | + | 6.44535i | 0.150293 | + | 1.04557i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 8.28275 | − | 3.78153i | 1.30962 | − | 0.597912i | ||||
\(41\) | 7.67919 | + | 7.67919i | 1.19929 | + | 1.19929i | 0.974380 | + | 0.224907i | \(0.0722080\pi\) |
0.224907 | + | 0.974380i | \(0.427792\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 2.99581 | − | 7.23252i | 0.456857 | − | 1.10295i | −0.512807 | − | 0.858504i | \(-0.671394\pi\) |
0.969663 | − | 0.244445i | \(-0.0786058\pi\) | |||||||
\(44\) | 2.88476 | + | 3.58030i | 0.434894 | + | 0.539750i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −4.94776 | − | 8.33968i | −0.729507 | − | 1.22962i | ||||
\(47\) | − | 6.10937i | − | 0.891143i | −0.895246 | − | 0.445571i | \(-0.853001\pi\) | ||
0.895246 | − | 0.445571i | \(-0.146999\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 6.88698i | 0.983855i | ||||||||
\(50\) | 6.52284 | − | 3.86986i | 0.922469 | − | 0.547282i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.0218378 | − | 0.202984i | 0.00302836 | − | 0.0281489i | ||||
\(53\) | −4.28258 | + | 10.3391i | −0.588258 | + | 1.42018i | 0.296909 | + | 0.954906i | \(0.404044\pi\) |
−0.885167 | + | 0.465274i | \(0.845956\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 5.23304 | + | 5.23304i | 0.705623 | + | 0.705623i | ||||
\(56\) | 0.0338366 | + | 0.950265i | 0.00452161 | + | 0.126984i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −10.6233 | + | 1.52701i | −1.39491 | + | 0.200506i | ||||
\(59\) | −1.19303 | + | 2.88024i | −0.155320 | + | 0.374975i | −0.982316 | − | 0.187233i | \(-0.940048\pi\) |
0.826996 | + | 0.562208i | \(0.190048\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 6.29246 | − | 2.60642i | 0.805667 | − | 0.333718i | 0.0584431 | − | 0.998291i | \(-0.481386\pi\) |
0.747224 | + | 0.664573i | \(0.231386\pi\) | |||||||
\(62\) | −13.5449 | − | 3.45764i | −1.72020 | − | 0.439120i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −0.569000 | − | 7.97974i | −0.0711250 | − | 0.997467i | ||||
\(65\) | − | 0.328605i | − | 0.0407584i | ||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −5.66771 | − | 13.6831i | −0.692420 | − | 1.67165i | −0.739846 | − | 0.672776i | \(-0.765102\pi\) |
0.0474259 | − | 0.998875i | \(-0.484898\pi\) | |||||||
\(68\) | 7.30396 | + | 3.98894i | 0.885736 | + | 0.483731i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.217758 | + | 1.51493i | 0.0260271 | + | 0.181068i | ||||
\(71\) | −3.49288 | − | 3.49288i | −0.414528 | − | 0.414528i | 0.468784 | − | 0.883313i | \(-0.344692\pi\) |
−0.883313 | + | 0.468784i | \(0.844692\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −1.42542 | + | 1.42542i | −0.166833 | + | 0.166833i | −0.785586 | − | 0.618753i | \(-0.787638\pi\) |
0.618753 | + | 0.785586i | \(0.287638\pi\) | |||||||
\(74\) | −0.519604 | − | 0.389000i | −0.0604028 | − | 0.0452203i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 9.15595 | + | 0.985029i | 1.05026 | + | 0.112991i | ||||
\(77\) | −0.714030 | + | 0.295761i | −0.0813713 | + | 0.0337051i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 1.53778 | 0.173014 | 0.0865070 | − | 0.996251i | \(-0.472430\pi\) | ||||
0.0865070 | + | 0.996251i | \(0.472430\pi\) | |||||||
\(80\) | −2.28447 | − | 12.6724i | −0.255412 | − | 1.41681i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 13.2087 | − | 7.83645i | 1.45866 | − | 0.865391i | ||||
\(83\) | 2.95890 | + | 7.14340i | 0.324781 | + | 0.784091i | 0.998963 | + | 0.0455255i | \(0.0144962\pi\) |
−0.674182 | + | 0.738565i | \(0.735504\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 12.3756 | + | 5.12616i | 1.34233 | + | 0.556010i | ||||
\(86\) | −8.86261 | − | 6.63496i | −0.955680 | − | 0.715466i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 5.91505 | − | 2.70055i | 0.630547 | − | 0.287879i | ||||
\(89\) | 1.92767 | − | 1.92767i | 0.204333 | − | 0.204333i | −0.597521 | − | 0.801853i | \(-0.703847\pi\) |
0.801853 | + | 0.597521i | \(0.203847\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.0317046 | + | 0.0131325i | 0.00332354 | + | 0.00137666i | ||||
\(92\) | −13.1583 | + | 3.86261i | −1.37185 | + | 0.402705i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −8.37149 | − | 2.13702i | −0.863454 | − | 0.220416i | ||||
\(95\) | 14.8223 | 1.52073 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −12.9791 | −1.31783 | −0.658915 | − | 0.752218i | \(-0.728984\pi\) | ||||
−0.658915 | + | 0.752218i | \(0.728984\pi\) | |||||||
\(98\) | 9.43704 | + | 2.40902i | 0.953285 | + | 0.243348i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −3.02112 | − | 10.2917i | −0.302112 | − | 1.02917i | ||||
\(101\) | −10.2765 | − | 4.25666i | −1.02255 | − | 0.423554i | −0.192532 | − | 0.981291i | \(-0.561670\pi\) |
−0.830018 | + | 0.557737i | \(0.811670\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −6.66422 | + | 6.66422i | −0.656645 | + | 0.656645i | −0.954585 | − | 0.297940i | \(-0.903701\pi\) |
0.297940 | + | 0.954585i | \(0.403701\pi\) | |||||||
\(104\) | −0.270505 | − | 0.100926i | −0.0265252 | − | 0.00989664i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 12.6693 | + | 9.48483i | 1.23055 | + | 0.921248i | ||||
\(107\) | 11.1377 | + | 4.61340i | 1.07673 | + | 0.445994i | 0.849359 | − | 0.527815i | \(-0.176989\pi\) |
0.227366 | + | 0.973809i | \(0.426989\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −3.68462 | − | 8.89546i | −0.352922 | − | 0.852030i | −0.996257 | − | 0.0864447i | \(-0.972449\pi\) |
0.643334 | − | 0.765585i | \(-0.277551\pi\) | |||||||
\(110\) | 9.00117 | − | 5.34020i | 0.858228 | − | 0.509169i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 1.31396 | + | 0.286031i | 0.124157 | + | 0.0270274i | ||||
\(113\) | 7.16123 | 0.673672 | 0.336836 | − | 0.941563i | \(-0.390643\pi\) | ||||
0.336836 | + | 0.941563i | \(0.390643\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −20.3928 | + | 8.44699i | −1.90164 | + | 0.787686i | ||||
\(116\) | −1.62353 | + | 15.0909i | −0.150741 | + | 1.40116i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 3.52940 | + | 2.64227i | 0.324907 | + | 0.243241i | ||||
\(119\) | −0.989167 | + | 0.989167i | −0.0906768 | + | 0.0906768i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −4.04105 | − | 4.04105i | −0.367368 | − | 0.367368i | ||||
\(122\) | −1.37045 | − | 9.53409i | −0.124074 | − | 0.863176i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −9.47580 | + | 17.3507i | −0.850952 | + | 1.55814i | ||||
\(125\) | −0.447173 | − | 1.07957i | −0.0399964 | − | 0.0965599i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 9.41925i | 0.835823i | 0.908488 | + | 0.417911i | \(0.137238\pi\) | ||||
−0.908488 | + | 0.417911i | \(0.862762\pi\) | |||||||
\(128\) | −11.1334 | − | 2.01157i | −0.984067 | − | 0.177800i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −0.450278 | − | 0.114944i | −0.0394920 | − | 0.0100812i | ||||
\(131\) | 3.15026 | − | 1.30488i | 0.275240 | − | 0.114008i | −0.240794 | − | 0.970576i | \(-0.577408\pi\) |
0.516034 | + | 0.856568i | \(0.327408\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.592361 | + | 1.43009i | −0.0513642 | + | 0.124004i | ||||
\(134\) | −20.7320 | + | 2.98006i | −1.79097 | + | 0.257438i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 8.02081 | − | 8.61311i | 0.687779 | − | 0.738568i | ||||
\(137\) | 8.26376 | + | 8.26376i | 0.706021 | + | 0.706021i | 0.965696 | − | 0.259675i | \(-0.0836156\pi\) |
−0.259675 | + | 0.965696i | \(0.583616\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 0.429473 | − | 1.03684i | 0.0364274 | − | 0.0879436i | −0.904619 | − | 0.426222i | \(-0.859844\pi\) |
0.941046 | + | 0.338278i | \(0.109844\pi\) | |||||||
\(140\) | 2.15203 | + | 0.231523i | 0.181880 | + | 0.0195673i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −6.00798 | + | 3.56441i | −0.504178 | + | 0.299118i | ||||
\(143\) | − | 0.234670i | − | 0.0196241i | ||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 24.4302i | 2.02882i | ||||||||
\(146\) | 1.45461 | + | 2.45182i | 0.120385 | + | 0.202914i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −0.714790 | + | 0.575930i | −0.0587554 | + | 0.0473411i | ||||
\(149\) | −0.253180 | + | 0.611230i | −0.0207413 | + | 0.0500739i | −0.933911 | − | 0.357506i | \(-0.883627\pi\) |
0.913170 | + | 0.407580i | \(0.133627\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 11.4878 | + | 11.4878i | 0.934862 | + | 0.934862i | 0.998005 | − | 0.0631423i | \(-0.0201122\pi\) |
−0.0631423 | + | 0.998005i | \(0.520112\pi\) | |||||||
\(152\) | 4.55245 | − | 12.2016i | 0.369252 | − | 0.989679i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0.155510 | + | 1.08187i | 0.0125314 | + | 0.0871796i | ||||
\(155\) | −12.1773 | + | 29.3985i | −0.978102 | + | 2.36135i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −13.7120 | + | 5.67968i | −1.09433 | + | 0.453288i | −0.855516 | − | 0.517777i | \(-0.826760\pi\) |
−0.238818 | + | 0.971064i | \(0.576760\pi\) | |||||||
\(158\) | 0.537906 | − | 2.10718i | 0.0427935 | − | 0.167638i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −18.1637 | − | 1.30236i | −1.43597 | − | 0.102961i | ||||
\(161\) | − | 2.30512i | − | 0.181669i | ||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 2.66632 | + | 6.43706i | 0.208842 | + | 0.504189i | 0.993241 | − | 0.116067i | \(-0.0370287\pi\) |
−0.784399 | + | 0.620256i | \(0.787029\pi\) | |||||||
\(164\) | −6.11775 | − | 20.8406i | −0.477716 | − | 1.62738i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 10.8234 | − | 1.55578i | 0.840059 | − | 0.120752i | ||||
\(167\) | −6.53445 | − | 6.53445i | −0.505651 | − | 0.505651i | 0.407538 | − | 0.913188i | \(-0.366387\pi\) |
−0.913188 | + | 0.407538i | \(0.866387\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 9.18502 | − | 9.18502i | 0.706540 | − | 0.706540i | ||||
\(170\) | 11.3531 | − | 15.1649i | 0.870747 | − | 1.16309i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −12.1918 | + | 9.82332i | −0.929614 | + | 0.749021i | ||||
\(173\) | 3.24361 | − | 1.34355i | 0.246607 | − | 0.102148i | −0.255956 | − | 0.966688i | \(-0.582390\pi\) |
0.502563 | + | 0.864540i | \(0.332390\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 1.80294 | 0.136290 | ||||||||
\(176\) | −1.63144 | − | 9.04986i | −0.122974 | − | 0.682159i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −1.96715 | − | 3.31572i | −0.147444 | − | 0.248524i | ||||
\(179\) | −9.86789 | − | 23.8232i | −0.737560 | − | 1.78063i | −0.615547 | − | 0.788100i | \(-0.711065\pi\) |
−0.122013 | − | 0.992528i | \(-0.538935\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 12.1863 | + | 5.04772i | 0.905799 | + | 0.375194i | 0.786447 | − | 0.617658i | \(-0.211918\pi\) |
0.119352 | + | 0.992852i | \(0.461918\pi\) | |||||||
\(182\) | 0.0290851 | − | 0.0388502i | 0.00215593 | − | 0.00287977i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0.690132 | + | 19.3816i | 0.0508772 | + | 1.42883i | ||||
\(185\) | −1.04475 | + | 1.04475i | −0.0768117 | + | 0.0768117i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 8.83795 | + | 3.66080i | 0.646295 | + | 0.267704i | ||||
\(188\) | −5.85658 | + | 10.7237i | −0.427135 | + | 0.782107i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 5.18473 | − | 20.3105i | 0.376140 | − | 1.47348i | ||||
\(191\) | 12.7590 | 0.923208 | 0.461604 | − | 0.887086i | \(-0.347274\pi\) | ||||
0.461604 | + | 0.887086i | \(0.347274\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −12.6078 | −0.907531 | −0.453766 | − | 0.891121i | \(-0.649920\pi\) | ||||
−0.453766 | + | 0.891121i | \(0.649920\pi\) | |||||||
\(194\) | −4.54001 | + | 17.7849i | −0.325953 | + | 1.27688i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 6.60202 | − | 12.0886i | 0.471573 | − | 0.863475i | ||||
\(197\) | 0.666855 | + | 0.276221i | 0.0475115 | + | 0.0196799i | 0.406313 | − | 0.913734i | \(-0.366814\pi\) |
−0.358801 | + | 0.933414i | \(0.616814\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −4.26928 | + | 4.26928i | −0.302641 | + | 0.302641i | −0.842046 | − | 0.539405i | \(-0.818649\pi\) |
0.539405 | + | 0.842046i | \(0.318649\pi\) | |||||||
\(200\) | −15.1592 | + | 0.539783i | −1.07192 | + | 0.0381684i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −9.42744 | + | 12.5926i | −0.663312 | + | 0.886015i | ||||
\(203\) | −2.35708 | − | 0.976336i | −0.165435 | − | 0.0685253i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −13.3787 | − | 32.2989i | −0.934406 | − | 2.25586i | ||||
\(206\) | 6.80069 | + | 11.4629i | 0.473827 | + | 0.798658i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −0.232917 | + | 0.335362i | −0.0161499 | + | 0.0232532i | ||||
\(209\) | 10.5852 | 0.732193 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 15.6370 | − | 6.47704i | 1.07649 | − | 0.445898i | 0.227215 | − | 0.973845i | \(-0.427038\pi\) |
0.849278 | + | 0.527947i | \(0.177038\pi\) | |||||||
\(212\) | 17.4284 | − | 14.0427i | 1.19699 | − | 0.964454i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 10.2175 | − | 13.6480i | 0.698455 | − | 0.932957i | ||||
\(215\) | −17.8198 | + | 17.8198i | −1.21530 | + | 1.21530i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −2.34978 | − | 2.34978i | −0.159514 | − | 0.159514i | ||||
\(218\) | −13.4780 | + | 1.93736i | −0.912849 | + | 0.131214i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −4.16898 | − | 14.2020i | −0.281073 | − | 0.957500i | ||||
\(221\) | −0.162548 | − | 0.392425i | −0.0109342 | − | 0.0263974i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | − | 29.4910i | − | 1.97487i | −0.158038 | − | 0.987433i | \(-0.550517\pi\) | ||
0.158038 | − | 0.987433i | \(-0.449483\pi\) | |||||||
\(224\) | 0.851553 | − | 1.70043i | 0.0568968 | − | 0.113614i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 2.50495 | − | 9.81283i | 0.166627 | − | 0.652740i | ||||
\(227\) | −18.5140 | + | 7.66873i | −1.22881 | + | 0.508992i | −0.900202 | − | 0.435473i | \(-0.856581\pi\) |
−0.328613 | + | 0.944465i | \(0.606581\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 2.09503 | − | 5.05785i | 0.138444 | − | 0.334232i | −0.839418 | − | 0.543487i | \(-0.817104\pi\) |
0.977861 | + | 0.209255i | \(0.0671037\pi\) | |||||||
\(230\) | 4.44139 | + | 30.8984i | 0.292857 | + | 2.03738i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 20.1108 | + | 7.50339i | 1.32034 | + | 0.492622i | ||||
\(233\) | 0.699144 | + | 0.699144i | 0.0458024 | + | 0.0458024i | 0.729637 | − | 0.683835i | \(-0.239689\pi\) |
−0.683835 | + | 0.729637i | \(0.739689\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −7.52625 | + | 18.1700i | −0.490958 | + | 1.18528i | ||||
\(236\) | 4.85519 | − | 3.91199i | 0.316046 | − | 0.254649i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 1.00942 | + | 1.70143i | 0.0654312 | + | 0.110287i | ||||
\(239\) | − | 22.1034i | − | 1.42975i | −0.699253 | − | 0.714875i | \(-0.746484\pi\) | ||
0.699253 | − | 0.714875i | \(-0.253516\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | − | 9.09381i | − | 0.585784i | −0.956146 | − | 0.292892i | \(-0.905382\pi\) | ||
0.956146 | − | 0.292892i | \(-0.0946176\pi\) | |||||||
\(242\) | −6.95086 | + | 4.12380i | −0.446818 | + | 0.265088i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −13.5437 | − | 1.45707i | −0.867044 | − | 0.0932797i | ||||
\(245\) | 8.48420 | − | 20.4827i | 0.542036 | − | 1.30859i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −0.332345 | − | 0.332345i | −0.0211466 | − | 0.0211466i | ||||
\(248\) | 20.4606 | + | 19.0536i | 1.29925 | + | 1.20990i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −1.63573 | + | 0.235122i | −0.103452 | + | 0.0148704i | ||||
\(251\) | −1.43019 | + | 3.45279i | −0.0902728 | + | 0.217938i | −0.962567 | − | 0.271043i | \(-0.912631\pi\) |
0.872294 | + | 0.488981i | \(0.162631\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −14.5634 | + | 6.03234i | −0.915591 | + | 0.379250i | ||||
\(254\) | 12.9069 | + | 3.29479i | 0.809853 | + | 0.206733i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −6.65081 | + | 14.5522i | −0.415675 | + | 0.909513i | ||||
\(257\) | 3.05245i | 0.190406i | 0.995458 | + | 0.0952032i | \(0.0303501\pi\) | ||||
−0.995458 | + | 0.0952032i | \(0.969650\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.0590473 | − | 0.142553i | −0.00366902 | − | 0.00885780i | ||||
\(260\) | −0.315009 | + | 0.576797i | −0.0195360 | + | 0.0357714i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −0.686102 | − | 4.77316i | −0.0423875 | − | 0.294887i | ||||
\(263\) | −2.44480 | − | 2.44480i | −0.150753 | − | 0.150753i | 0.627701 | − | 0.778454i | \(-0.283996\pi\) |
−0.778454 | + | 0.627701i | \(0.783996\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 25.4738 | − | 25.4738i | 1.56484 | − | 1.56484i | ||||
\(266\) | 1.75240 | + | 1.31193i | 0.107447 | + | 0.0804396i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −3.16843 | + | 29.4509i | −0.193543 | + | 1.79900i | ||||
\(269\) | 13.7507 | − | 5.69573i | 0.838395 | − | 0.347275i | 0.0781745 | − | 0.996940i | \(-0.475091\pi\) |
0.760221 | + | 0.649665i | \(0.225091\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 24.0583 | 1.46144 | 0.730720 | − | 0.682677i | \(-0.239184\pi\) | ||||
0.730720 | + | 0.682677i | \(0.239184\pi\) | |||||||
\(272\) | −8.99667 | − | 14.0035i | −0.545503 | − | 0.849087i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 14.2142 | − | 8.43299i | 0.858711 | − | 0.509455i | ||||
\(275\) | −4.71816 | − | 11.3907i | −0.284516 | − | 0.686882i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −6.48199 | − | 2.68493i | −0.389465 | − | 0.161322i | 0.179354 | − | 0.983785i | \(-0.442599\pi\) |
−0.568819 | + | 0.822463i | \(0.692599\pi\) | |||||||
\(278\) | −1.27053 | − | 0.951174i | −0.0762010 | − | 0.0570476i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 1.07002 | − | 2.86788i | 0.0639456 | − | 0.171389i | ||||
\(281\) | 4.59744 | − | 4.59744i | 0.274260 | − | 0.274260i | −0.556552 | − | 0.830813i | \(-0.687876\pi\) |
0.830813 | + | 0.556552i | \(0.187876\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 17.9590 | + | 7.43884i | 1.06755 | + | 0.442193i | 0.846125 | − | 0.532984i | \(-0.178930\pi\) |
0.221424 | + | 0.975178i | \(0.428930\pi\) | |||||||
\(284\) | 2.78266 | + | 9.47937i | 0.165120 | + | 0.562497i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −0.321562 | − | 0.0820861i | −0.0190144 | − | 0.00485385i | ||||
\(287\) | 3.65094 | 0.215508 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 0.314890 | 0.0185229 | ||||||||
\(290\) | 33.4760 | + | 8.54552i | 1.96578 | + | 0.501810i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 3.86847 | − | 1.13559i | 0.226385 | − | 0.0664551i | ||||
\(293\) | 0.0302145 | + | 0.0125153i | 0.00176515 | + | 0.000731150i | 0.383566 | − | 0.923514i | \(-0.374696\pi\) |
−0.381801 | + | 0.924245i | \(0.624696\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 7.09645 | − | 7.09645i | 0.413171 | − | 0.413171i | ||||
\(296\) | 0.539152 | + | 1.18091i | 0.0313375 | + | 0.0686392i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0.748990 | + | 0.560729i | 0.0433878 | + | 0.0324821i | ||||
\(299\) | 0.646646 | + | 0.267850i | 0.0373965 | + | 0.0154901i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −1.00714 | − | 2.43145i | −0.0580504 | − | 0.140146i | ||||
\(302\) | 19.7597 | − | 11.7230i | 1.13704 | − | 0.674585i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −15.1271 | − | 10.5061i | −0.867597 | − | 0.602567i | ||||
\(305\) | −21.9254 | −1.25544 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −21.7209 | + | 8.99707i | −1.23967 | + | 0.513490i | −0.903613 | − | 0.428350i | \(-0.859095\pi\) |
−0.336062 | + | 0.941840i | \(0.609095\pi\) | |||||||
\(308\) | 1.53685 | + | 0.165340i | 0.0875703 | + | 0.00942112i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 36.0244 | + | 26.9696i | 2.04605 | + | 1.53177i | ||||
\(311\) | −3.59830 | + | 3.59830i | −0.204041 | + | 0.204041i | −0.801729 | − | 0.597688i | \(-0.796086\pi\) |
0.597688 | + | 0.801729i | \(0.296086\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 1.24094 | + | 1.24094i | 0.0701421 | + | 0.0701421i | 0.741308 | − | 0.671165i | \(-0.234206\pi\) |
−0.671165 | + | 0.741308i | \(0.734206\pi\) | |||||||
\(314\) | 2.98635 | + | 20.7758i | 0.168530 | + | 1.17245i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −2.69925 | − | 1.47415i | −0.151845 | − | 0.0829276i | ||||
\(317\) | −2.92298 | − | 7.05670i | −0.164171 | − | 0.396344i | 0.820290 | − | 0.571948i | \(-0.193812\pi\) |
−0.984461 | + | 0.175604i | \(0.943812\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 17.4466i | 0.976823i | ||||||||
\(320\) | −8.13812 | + | 24.4336i | −0.454935 | + | 1.36588i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −3.15865 | − | 0.806317i | −0.176025 | − | 0.0449343i | ||||
\(323\) | 17.7010 | − | 7.33199i | 0.984909 | − | 0.407963i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −0.209497 | + | 0.505771i | −0.0116208 | + | 0.0280551i | ||||
\(326\) | 9.75318 | − | 1.40194i | 0.540178 | − | 0.0776462i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −30.6973 | + | 1.09306i | −1.69497 | + | 0.0603540i | ||||
\(329\) | −1.45230 | − | 1.45230i | −0.0800678 | − | 0.0800678i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 11.2439 | − | 27.1453i | 0.618023 | − | 1.49204i | −0.235973 | − | 0.971760i | \(-0.575828\pi\) |
0.853996 | − | 0.520280i | \(-0.174172\pi\) | |||||||
\(332\) | 1.65412 | − | 15.3752i | 0.0907816 | − | 0.843824i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −11.2397 | + | 6.66826i | −0.615008 | + | 0.364871i | ||||
\(335\) | 47.6771i | 2.60488i | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | − | 13.3438i | − | 0.726882i | −0.931617 | − | 0.363441i | \(-0.881602\pi\) | ||
0.931617 | − | 0.363441i | \(-0.118398\pi\) | |||||||
\(338\) | −9.37312 | − | 15.7988i | −0.509830 | − | 0.859343i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −16.8088 | − | 20.8615i | −0.911584 | − | 1.13137i | ||||
\(341\) | −8.69629 | + | 20.9947i | −0.470930 | + | 1.13693i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 3.30117 | + | 3.30117i | 0.178246 | + | 0.178246i | ||||
\(344\) | 9.19601 | + | 20.1422i | 0.495816 | + | 1.08599i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −0.706432 | − | 4.91459i | −0.0379780 | − | 0.264210i | ||||
\(347\) | 3.38445 | − | 8.17078i | 0.181687 | − | 0.438631i | −0.806628 | − | 0.591060i | \(-0.798710\pi\) |
0.988314 | + | 0.152429i | \(0.0487097\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 17.9607 | − | 7.43958i | 0.961416 | − | 0.398232i | 0.153906 | − | 0.988085i | \(-0.450815\pi\) |
0.807510 | + | 0.589854i | \(0.200815\pi\) | |||||||
\(350\) | 0.630657 | − | 2.47052i | 0.0337100 | − | 0.132055i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −12.9714 | − | 0.930068i | −0.691380 | − | 0.0495728i | ||||
\(353\) | − | 30.1730i | − | 1.60594i | −0.596016 | − | 0.802972i | \(-0.703251\pi\) | ||
0.596016 | − | 0.802972i | \(-0.296749\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 6.08528 | + | 14.6912i | 0.322973 | + | 0.779726i | ||||
\(356\) | −5.23153 | + | 1.53571i | −0.277270 | + | 0.0813924i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −36.0960 | + | 5.18850i | −1.90773 | + | 0.274221i | ||||
\(359\) | −5.24818 | − | 5.24818i | −0.276988 | − | 0.276988i | 0.554917 | − | 0.831905i | \(-0.312750\pi\) |
−0.831905 | + | 0.554917i | \(0.812750\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 1.55592 | − | 1.55592i | 0.0818907 | − | 0.0818907i | ||||
\(362\) | 11.1794 | − | 14.9329i | 0.587578 | − | 0.784853i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −0.0430616 | − | 0.0534440i | −0.00225704 | − | 0.00280123i | ||||
\(365\) | 5.99538 | − | 2.48337i | 0.313812 | − | 0.129985i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −31.3373 | −1.63580 | −0.817898 | − | 0.575363i | \(-0.804861\pi\) | ||||
−0.817898 | + | 0.575363i | \(0.804861\pi\) | |||||||
\(368\) | 26.7995 | + | 5.83388i | 1.39702 | + | 0.304112i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 1.06615 | + | 1.79704i | 0.0554264 | + | 0.0934237i | ||||
\(371\) | 1.43973 | + | 3.47581i | 0.0747469 | + | 0.180455i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 12.2609 | + | 5.07863i | 0.634845 | + | 0.262962i | 0.676810 | − | 0.736158i | \(-0.263362\pi\) |
−0.0419649 | + | 0.999119i | \(0.513362\pi\) | |||||||
\(374\) | 8.10775 | − | 10.8299i | 0.419242 | − | 0.560000i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 12.6458 | + | 11.7762i | 0.652157 | + | 0.607311i | ||||
\(377\) | 0.547774 | − | 0.547774i | 0.0282118 | − | 0.0282118i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 23.5487 | + | 9.75417i | 1.20961 | + | 0.501038i | 0.894093 | − | 0.447881i | \(-0.147821\pi\) |
0.315520 | + | 0.948919i | \(0.397821\pi\) | |||||||
\(380\) | −26.0174 | − | 14.2090i | −1.33466 | − | 0.728905i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 4.46301 | − | 17.4833i | 0.228347 | − | 0.894523i | ||||
\(383\) | −16.6719 | −0.851896 | −0.425948 | − | 0.904748i | \(-0.640059\pi\) | ||||
−0.425948 | + | 0.904748i | \(0.640059\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 2.48796 | 0.126798 | ||||||||
\(386\) | −4.41013 | + | 17.2762i | −0.224470 | + | 0.879333i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 22.7821 | + | 12.4421i | 1.15659 | + | 0.631651i | ||||
\(389\) | 1.38281 | + | 0.572777i | 0.0701110 | + | 0.0290409i | 0.417463 | − | 0.908694i | \(-0.362919\pi\) |
−0.347352 | + | 0.937735i | \(0.612919\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −20.1750 | + | 20.1750i | −1.02030 | + | 1.02030i | ||||
\(392\) | −14.2554 | − | 13.2751i | −0.720006 | − | 0.670493i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 0.611759 | − | 0.817153i | 0.0308200 | − | 0.0411676i | ||||
\(395\) | −4.57354 | − | 1.89442i | −0.230120 | − | 0.0953187i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 4.37989 | + | 10.5740i | 0.219821 | + | 0.530694i | 0.994865 | − | 0.101213i | \(-0.0322724\pi\) |
−0.775044 | + | 0.631907i | \(0.782272\pi\) | |||||||
\(398\) | 4.35671 | + | 7.34344i | 0.218382 | + | 0.368093i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −4.56294 | + | 20.9611i | −0.228147 | + | 1.04805i | ||||
\(401\) | −23.7727 | −1.18715 | −0.593576 | − | 0.804778i | \(-0.702284\pi\) | ||||
−0.593576 | + | 0.804778i | \(0.702284\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0.932212 | − | 0.386135i | 0.0464368 | − | 0.0192348i | ||||
\(404\) | 13.9577 | + | 17.3230i | 0.694421 | + | 0.861850i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −2.16234 | + | 2.88833i | −0.107315 | + | 0.143345i | ||||
\(407\) | −0.746100 | + | 0.746100i | −0.0369828 | + | 0.0369828i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −24.1735 | − | 24.1735i | −1.19530 | − | 1.19530i | −0.975558 | − | 0.219743i | \(-0.929478\pi\) |
−0.219743 | − | 0.975558i | \(-0.570522\pi\) | |||||||
\(410\) | −48.9381 | + | 7.03445i | −2.41688 | + | 0.347406i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 18.0861 | − | 5.30916i | 0.891039 | − | 0.261563i | ||||
\(413\) | 0.401077 | + | 0.968286i | 0.0197357 | + | 0.0476462i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | − | 24.8904i | − | 1.22182i | ||||||
\(416\) | 0.378065 | + | 0.436468i | 0.0185361 | + | 0.0213996i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 3.70263 | − | 14.5046i | 0.181101 | − | 0.709442i | ||||
\(419\) | 6.78167 | − | 2.80906i | 0.331306 | − | 0.137232i | −0.210828 | − | 0.977523i | \(-0.567616\pi\) |
0.542135 | + | 0.840291i | \(0.317616\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −9.06067 | + | 21.8744i | −0.441590 | + | 1.06609i | 0.533801 | + | 0.845610i | \(0.320763\pi\) |
−0.975391 | + | 0.220482i | \(0.929237\pi\) | |||||||
\(422\) | −3.40560 | − | 23.6925i | −0.165782 | − | 1.15333i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −13.1459 | − | 28.7937i | −0.638422 | − | 1.39835i | ||||
\(425\) | −15.7798 | − | 15.7798i | −0.765433 | − | 0.765433i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0.876233 | − | 2.11541i | 0.0424039 | − | 0.102372i | ||||
\(428\) | −15.1274 | − | 18.7748i | −0.731212 | − | 0.907512i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 18.1847 | + | 30.6512i | 0.876943 | + | 1.47813i | ||||
\(431\) | − | 22.9164i | − | 1.10384i | −0.833896 | − | 0.551922i | \(-0.813895\pi\) | ||
0.833896 | − | 0.551922i | \(-0.186105\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 17.6486i | 0.848139i | 0.905630 | + | 0.424070i | \(0.139399\pi\) | ||||
−0.905630 | + | 0.424070i | \(0.860601\pi\) | |||||||
\(434\) | −4.04178 | + | 2.39790i | −0.194011 | + | 0.115103i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −2.05982 | + | 19.1463i | −0.0986476 | + | 0.916940i | ||||
\(437\) | −12.0818 | + | 29.1680i | −0.577951 | + | 1.39530i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 11.5122 | + | 11.5122i | 0.549449 | + | 0.549449i | 0.926281 | − | 0.376832i | \(-0.122987\pi\) |
−0.376832 | + | 0.926281i | \(0.622987\pi\) | |||||||
\(440\) | −20.9189 | + | 0.744872i | −0.997270 | + | 0.0355104i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −0.594587 | + | 0.0854670i | −0.0282816 | + | 0.00406525i | ||||
\(443\) | 13.4242 | − | 32.4089i | 0.637804 | − | 1.53980i | −0.191794 | − | 0.981435i | \(-0.561431\pi\) |
0.829598 | − | 0.558360i | \(-0.188569\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −8.10785 | + | 3.35838i | −0.384349 | + | 0.159202i | ||||
\(446\) | −40.4107 | − | 10.3158i | −1.91350 | − | 0.488466i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −2.03218 | − | 1.76166i | −0.0960114 | − | 0.0832304i | ||||
\(449\) | − | 16.3232i | − | 0.770339i | −0.922846 | − | 0.385170i | \(-0.874143\pi\) | ||
0.922846 | − | 0.385170i | \(-0.125857\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −9.55425 | − | 23.0660i | −0.449892 | − | 1.08614i | ||||
\(452\) | −12.5700 | − | 6.86493i | −0.591245 | − | 0.322899i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 4.03219 | + | 28.0516i | 0.189240 | + | 1.31653i | ||||
\(455\) | −0.0781149 | − | 0.0781149i | −0.00366208 | − | 0.00366208i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −22.1907 | + | 22.1907i | −1.03804 | + | 1.03804i | −0.0387901 | + | 0.999247i | \(0.512350\pi\) |
−0.999247 | + | 0.0387901i | \(0.987650\pi\) | |||||||
\(458\) | −6.19781 | − | 4.63996i | −0.289604 | − | 0.216811i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 43.8928 | + | 4.72214i | 2.04651 | + | 0.220171i | ||||
\(461\) | 15.6722 | − | 6.49164i | 0.729927 | − | 0.302346i | 0.0134051 | − | 0.999910i | \(-0.495733\pi\) |
0.716522 | + | 0.697564i | \(0.245733\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −21.1826 | −0.984441 | −0.492220 | − | 0.870471i | \(-0.663815\pi\) | ||||
−0.492220 | + | 0.870471i | \(0.663815\pi\) | |||||||
\(464\) | 17.3163 | − | 24.9326i | 0.803889 | − | 1.15747i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 1.20257 | − | 0.713461i | 0.0557081 | − | 0.0330505i | ||||
\(467\) | 4.30158 | + | 10.3849i | 0.199053 | + | 0.480557i | 0.991614 | − | 0.129236i | \(-0.0412525\pi\) |
−0.792561 | + | 0.609793i | \(0.791253\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −4.60000 | − | 1.90538i | −0.212408 | − | 0.0879824i | ||||
\(470\) | 22.2652 | + | 16.6687i | 1.02702 | + | 0.768871i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −3.66217 | − | 8.02131i | −0.168565 | − | 0.369211i | ||||
\(473\) | −12.7258 | + | 12.7258i | −0.585134 | + | 0.585134i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −22.8136 | − | 9.44971i | −1.04676 | − | 0.433583i | ||||
\(476\) | 2.68451 | − | 0.788035i | 0.123044 | − | 0.0361195i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −30.2877 | − | 7.73162i | −1.38532 | − | 0.353636i | ||||
\(479\) | −36.0607 | −1.64766 | −0.823828 | − | 0.566840i | \(-0.808166\pi\) | ||||
−0.823828 | + | 0.566840i | \(0.808166\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0.0468509 | 0.00213622 | ||||||||
\(482\) | −12.4610 | − | 3.18095i | −0.567583 | − | 0.144888i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 3.21936 | + | 10.9670i | 0.146335 | + | 0.498502i | ||||
\(485\) | 38.6014 | + | 15.9892i | 1.75280 | + | 0.726033i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −6.99084 | + | 6.99084i | −0.316785 | + | 0.316785i | −0.847531 | − | 0.530746i | \(-0.821912\pi\) |
0.530746 | + | 0.847531i | \(0.321912\pi\) | |||||||
\(488\) | −6.73407 | + | 18.0488i | −0.304837 | + | 0.817032i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −25.0991 | − | 18.7904i | −1.13386 | − | 0.848862i | ||||
\(491\) | 6.37664 | + | 2.64129i | 0.287774 | + | 0.119200i | 0.521901 | − | 0.853006i | \(-0.325223\pi\) |
−0.234127 | + | 0.972206i | \(0.575223\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 12.0847 | + | 29.1749i | 0.544266 | + | 1.31397i | ||||
\(494\) | −0.571655 | + | 0.339151i | −0.0257200 | + | 0.0152591i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 33.2655 | − | 21.3717i | 1.49367 | − | 0.959619i | ||||
\(497\) | −1.66063 | −0.0744895 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 7.43198 | − | 3.07843i | 0.332701 | − | 0.137809i | −0.210078 | − | 0.977685i | \(-0.567372\pi\) |
0.542779 | + | 0.839875i | \(0.317372\pi\) | |||||||
\(500\) | −0.249985 | + | 2.32363i | −0.0111797 | + | 0.103916i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 4.23098 | + | 3.16751i | 0.188838 | + | 0.141373i | ||||
\(503\) | −2.67081 | + | 2.67081i | −0.119086 | + | 0.119086i | −0.764138 | − | 0.645053i | \(-0.776835\pi\) |
0.645053 | + | 0.764138i | \(0.276835\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 25.3196 | + | 25.3196i | 1.12671 | + | 1.12671i | ||||
\(506\) | 3.17178 | + | 22.0658i | 0.141003 | + | 0.980946i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 9.02951 | − | 16.5335i | 0.400620 | − | 0.733556i | ||||
\(509\) | 9.36796 | + | 22.6162i | 0.415227 | + | 1.00245i | 0.983712 | + | 0.179753i | \(0.0575300\pi\) |
−0.568484 | + | 0.822694i | \(0.692470\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0.677694i | 0.0299794i | ||||||||
\(512\) | 17.6141 | + | 14.2037i | 0.778439 | + | 0.627720i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 4.18268 | + | 1.06773i | 0.184490 | + | 0.0470954i | ||||
\(515\) | 28.0299 | − | 11.6104i | 1.23515 | − | 0.511615i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −5.37480 | + | 12.9759i | −0.236384 | + | 0.570680i | ||||
\(518\) | −0.215990 | + | 0.0310469i | −0.00949008 | + | 0.00136412i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0.680181 | + | 0.633407i | 0.0298279 | + | 0.0277767i | ||||
\(521\) | 22.3821 | + | 22.3821i | 0.980579 | + | 0.980579i | 0.999815 | − | 0.0192357i | \(-0.00612328\pi\) |
−0.0192357 | + | 0.999815i | \(0.506123\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 2.70300 | − | 6.52561i | 0.118194 | − | 0.285345i | −0.853700 | − | 0.520765i | \(-0.825647\pi\) |
0.971894 | + | 0.235420i | \(0.0756467\pi\) | |||||||
\(524\) | −6.78051 | − | 0.729472i | −0.296208 | − | 0.0318671i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −4.20522 | + | 2.49487i | −0.183356 | + | 0.108782i | ||||
\(527\) | 41.1318i | 1.79173i | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | − | 24.0153i | − | 1.04414i | ||||||
\(530\) | −25.9954 | − | 43.8166i | −1.12917 | − | 1.90327i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 2.41068 | − | 1.94236i | 0.104516 | − | 0.0842121i | ||||
\(533\) | −0.424230 | + | 1.02418i | −0.0183755 | + | 0.0443623i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −27.4416 | − | 27.4416i | −1.18640 | − | 1.18640i | ||||
\(536\) | 39.2475 | + | 14.6433i | 1.69523 | + | 0.632496i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −2.99479 | − | 20.8345i | −0.129115 | − | 0.898240i | ||||
\(539\) | 6.05892 | − | 14.6275i | 0.260976 | − | 0.630052i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −3.90965 | + | 1.61943i | −0.168089 | + | 0.0696246i | −0.465141 | − | 0.885237i | \(-0.653996\pi\) |
0.297052 | + | 0.954861i | \(0.403996\pi\) | |||||||
\(542\) | 8.41545 | − | 32.9665i | 0.361474 | − | 1.41603i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −22.3356 | + | 7.42956i | −0.957630 | + | 0.318540i | ||||
\(545\) | 30.9953i | 1.32769i | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 6.81941 | + | 16.4635i | 0.291577 | + | 0.703929i | 0.999998 | − | 0.00186067i | \(-0.000592269\pi\) |
−0.708421 | + | 0.705790i | \(0.750592\pi\) | |||||||
\(548\) | −6.58345 | − | 22.4271i | −0.281231 | − | 0.958039i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −17.2587 | + | 2.48079i | −0.735913 | + | 0.105781i | ||||
\(551\) | 24.7082 | + | 24.7082i | 1.05261 | + | 1.05261i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.365556 | − | 0.365556i | 0.0155450 | − | 0.0155450i | ||||
\(554\) | −5.94644 | + | 7.94292i | −0.252640 | + | 0.337462i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −1.74779 | + | 1.40825i | −0.0741227 | + | 0.0597231i | ||||
\(557\) | 3.65431 | − | 1.51367i | 0.154838 | − | 0.0641361i | −0.303918 | − | 0.952698i | \(-0.598295\pi\) |
0.458757 | + | 0.888562i | \(0.348295\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0.799109 | 0.0337987 | ||||||||
\(560\) | −3.55549 | − | 2.46938i | −0.150247 | − | 0.104350i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −4.69159 | − | 7.90789i | −0.197903 | − | 0.333574i | ||||
\(563\) | 1.27091 | + | 3.06826i | 0.0535626 | + | 0.129312i | 0.948396 | − | 0.317089i | \(-0.102706\pi\) |
−0.894833 | + | 0.446401i | \(0.852706\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −21.2983 | − | 8.82206i | −0.896028 | − | 0.371147i | ||||
\(566\) | 16.4752 | − | 22.0066i | 0.692503 | − | 0.925006i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 13.9627 | − | 0.497177i | 0.585860 | − | 0.0208611i | ||||
\(569\) | 8.04933 | − | 8.04933i | 0.337446 | − | 0.337446i | −0.517960 | − | 0.855405i | \(-0.673308\pi\) |
0.855405 | + | 0.517960i | \(0.173308\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 24.5752 | + | 10.1794i | 1.02844 | + | 0.425994i | 0.832150 | − | 0.554551i | \(-0.187110\pi\) |
0.196292 | + | 0.980546i | \(0.437110\pi\) | |||||||
\(572\) | −0.224961 | + | 0.411914i | −0.00940607 | + | 0.0172230i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 1.27707 | − | 5.00278i | 0.0533041 | − | 0.208812i | ||||
\(575\) | 36.7728 | 1.53353 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 6.56790 | 0.273425 | 0.136713 | − | 0.990611i | \(-0.456346\pi\) | ||||
0.136713 | + | 0.990611i | \(0.456346\pi\) | |||||||
\(578\) | 0.110146 | − | 0.431485i | 0.00458148 | − | 0.0179474i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 23.4194 | − | 42.8821i | 0.972437 | − | 1.78058i | ||||
\(581\) | 2.40149 | + | 0.994728i | 0.0996304 | + | 0.0412683i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 18.1919 | − | 18.1919i | 0.753430 | − | 0.753430i | ||||
\(584\) | −0.202895 | − | 5.69808i | −0.00839585 | − | 0.235788i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0.0277182 | − | 0.0370244i | 0.00114503 | − | 0.00152946i | ||||
\(587\) | −16.5921 | − | 6.87268i | −0.684830 | − | 0.283666i | 0.0130142 | − | 0.999915i | \(-0.495857\pi\) |
−0.697844 | + | 0.716249i | \(0.745857\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 17.4172 | + | 42.0490i | 0.717665 | + | 1.73260i | ||||
\(590\) | −7.24177 | − | 12.2064i | −0.298139 | − | 0.502528i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 1.80676 | − | 0.325709i | 0.0742575 | − | 0.0133866i | ||||
\(593\) | −28.8208 | −1.18353 | −0.591765 | − | 0.806111i | \(-0.701569\pi\) | ||||
−0.591765 | + | 0.806111i | \(0.701569\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 4.16047 | − | 1.72332i | 0.170563 | − | 0.0706494i | ||||
\(596\) | 1.03034 | − | 0.830181i | 0.0422045 | − | 0.0340055i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0.593219 | − | 0.792389i | 0.0242585 | − | 0.0324032i | ||||
\(599\) | 17.4840 | − | 17.4840i | 0.714377 | − | 0.714377i | −0.253071 | − | 0.967448i | \(-0.581440\pi\) |
0.967448 | + | 0.253071i | \(0.0814405\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 33.1960 | + | 33.1960i | 1.35409 | + | 1.35409i | 0.881028 | + | 0.473065i | \(0.156852\pi\) |
0.473065 | + | 0.881028i | \(0.343148\pi\) | |||||||
\(602\) | −3.68403 | + | 0.529549i | −0.150150 | + | 0.0215828i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −9.15192 | − | 31.1768i | −0.372386 | − | 1.26857i | ||||
\(605\) | 7.04030 | + | 16.9968i | 0.286229 | + | 0.691017i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | − | 15.7874i | − | 0.640790i | −0.947284 | − | 0.320395i | \(-0.896184\pi\) | ||
0.947284 | − | 0.320395i | \(-0.103816\pi\) | |||||||
\(608\) | −19.6876 | + | 17.0532i | −0.798437 | + | 0.691599i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −7.66936 | + | 30.0438i | −0.310523 | + | 1.21644i | ||||
\(611\) | 0.576160 | − | 0.238653i | 0.0233090 | − | 0.00965488i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −1.45651 | + | 3.51632i | −0.0588278 | + | 0.142023i | −0.950560 | − | 0.310540i | \(-0.899490\pi\) |
0.891733 | + | 0.452563i | \(0.149490\pi\) | |||||||
\(614\) | 4.73063 | + | 32.9106i | 0.190913 | + | 1.32816i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0.764142 | − | 2.04807i | 0.0307881 | − | 0.0825192i | ||||
\(617\) | −5.98815 | − | 5.98815i | −0.241074 | − | 0.241074i | 0.576220 | − | 0.817294i | \(-0.304527\pi\) |
−0.817294 | + | 0.576220i | \(0.804527\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −7.03768 | + | 16.9905i | −0.282868 | + | 0.682905i | −0.999900 | − | 0.0141358i | \(-0.995500\pi\) |
0.717032 | + | 0.697041i | \(0.245500\pi\) | |||||||
\(620\) | 49.5568 | − | 39.9295i | 1.99025 | − | 1.60361i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 3.67199 | + | 6.18931i | 0.147233 | + | 0.248169i | ||||
\(623\) | − | 0.916479i | − | 0.0367179i | ||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | − | 23.0533i | − | 0.922132i | ||||||
\(626\) | 2.13450 | − | 1.26635i | 0.0853117 | − | 0.0506136i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 29.5131 | + | 3.17513i | 1.17770 | + | 0.126701i | ||||
\(629\) | −0.730862 | + | 1.76446i | −0.0291414 | + | 0.0703535i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −19.0530 | − | 19.0530i | −0.758486 | − | 0.758486i | 0.217561 | − | 0.976047i | \(-0.430190\pi\) |
−0.976047 | + | 0.217561i | \(0.930190\pi\) | |||||||
\(632\) | −2.96417 | + | 3.18306i | −0.117908 | + | 0.126615i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −10.6920 | + | 1.53689i | −0.424635 | + | 0.0610378i | ||||
\(635\) | 11.6037 | − | 28.0139i | 0.460481 | − | 1.11170i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −0.649495 | + | 0.269030i | −0.0257339 | + | 0.0106593i | ||||
\(638\) | 23.9066 | + | 6.10271i | 0.946472 | + | 0.241609i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 30.6341 | + | 19.6982i | 1.21092 | + | 0.778638i | ||||
\(641\) | 4.84179i | 0.191239i | 0.995418 | + | 0.0956197i | \(0.0304833\pi\) | ||||
−0.995418 | + | 0.0956197i | \(0.969517\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −1.99669 | − | 4.82043i | −0.0787417 | − | 0.190099i | 0.879606 | − | 0.475702i | \(-0.157806\pi\) |
−0.958348 | + | 0.285603i | \(0.907806\pi\) | |||||||
\(644\) | −2.20975 | + | 4.04616i | −0.0870762 | + | 0.159441i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −3.85513 | − | 26.8198i | −0.151678 | − | 1.05521i | ||||
\(647\) | 23.0278 | + | 23.0278i | 0.905316 | + | 0.905316i | 0.995890 | − | 0.0905742i | \(-0.0288702\pi\) |
−0.0905742 | + | 0.995890i | \(0.528870\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 5.06786 | − | 5.06786i | 0.198931 | − | 0.198931i | ||||
\(650\) | 0.619763 | + | 0.463983i | 0.0243091 | + | 0.0181989i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 1.49056 | − | 13.8549i | 0.0583747 | − | 0.542599i | ||||
\(653\) | −25.3058 | + | 10.4820i | −0.990294 | + | 0.410193i | −0.818229 | − | 0.574893i | \(-0.805044\pi\) |
−0.172065 | + | 0.985086i | \(0.555044\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −10.9768 | −0.428897 | ||||||||
\(656\) | −9.23992 | + | 42.4460i | −0.360758 | + | 1.65724i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −2.49805 | + | 1.48204i | −0.0973841 | + | 0.0577759i | ||||
\(659\) | 8.74923 | + | 21.1225i | 0.340821 | + | 0.822816i | 0.997633 | + | 0.0687611i | \(0.0219046\pi\) |
−0.656812 | + | 0.754055i | \(0.728095\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 14.1409 | + | 5.85735i | 0.550017 | + | 0.227824i | 0.640345 | − | 0.768088i | \(-0.278792\pi\) |
−0.0903280 | + | 0.995912i | \(0.528792\pi\) | |||||||
\(662\) | −33.2634 | − | 24.9025i | −1.29282 | − | 0.967863i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −20.4896 | − | 7.64474i | −0.795151 | − | 0.296673i | ||||
\(665\) | 3.52350 | − | 3.52350i | 0.136635 | − | 0.136635i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −48.0751 | − | 19.9133i | −1.86147 | − | 0.771048i | ||||
\(668\) | 5.20577 | + | 17.7339i | 0.201417 | + | 0.686146i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 65.3306 | + | 16.6771i | 2.52394 | + | 0.644294i | ||||
\(671\) | −15.6578 | −0.604464 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 38.4339 | 1.48152 | 0.740758 | − | 0.671772i | \(-0.234466\pi\) | ||||
0.740758 | + | 0.671772i | \(0.234466\pi\) | |||||||
\(674\) | −18.2846 | − | 4.66756i | −0.704296 | − | 0.179788i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −24.9273 | + | 7.31739i | −0.958744 | + | 0.281438i | ||||
\(677\) | −11.0186 | − | 4.56407i | −0.423481 | − | 0.175412i | 0.160757 | − | 0.986994i | \(-0.448606\pi\) |
−0.584238 | + | 0.811583i | \(0.698606\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −3.08535 | + | 3.08535i | −0.118405 | + | 0.118405i | ||||
\(680\) | −34.4655 | + | 15.7354i | −1.32169 | + | 0.603425i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 25.7265 | + | 19.2601i | 0.985120 | + | 0.737507i | ||||
\(683\) | 44.4586 | + | 18.4153i | 1.70116 | + | 0.704643i | 0.999965 | − | 0.00832649i | \(-0.00265043\pi\) |
0.701195 | + | 0.712970i | \(0.252650\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −14.3971 | − | 34.7577i | −0.550085 | − | 1.32802i | ||||
\(686\) | 5.67822 | − | 3.36877i | 0.216796 | − | 0.128620i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 30.8170 | − | 5.55544i | 1.17489 | − | 0.211799i | ||||
\(689\) | −1.14235 | −0.0435199 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −2.14643 | + | 0.889080i | −0.0816540 | + | 0.0338222i | −0.423137 | − | 0.906066i | \(-0.639071\pi\) |
0.341483 | + | 0.939888i | \(0.389071\pi\) | |||||||
\(692\) | −6.98143 | − | 0.751086i | −0.265394 | − | 0.0285520i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −10.0123 | − | 7.49570i | −0.380063 | − | 0.284533i | ||||
\(695\) | −2.55461 | + | 2.55461i | −0.0969017 | + | 0.0969017i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −31.9540 | − | 31.9540i | −1.21034 | − | 1.21034i | ||||
\(698\) | −3.91170 | − | 27.2134i | −0.148060 | − | 1.03004i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −3.16468 | − | 1.72834i | −0.119614 | − | 0.0653252i | ||||
\(701\) | −11.0073 | − | 26.5740i | −0.415740 | − | 1.00368i | −0.983568 | − | 0.180537i | \(-0.942216\pi\) |
0.567828 | − | 0.823147i | \(-0.307784\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 2.11328i | 0.0797040i | ||||||||
\(704\) | −5.81177 | + | 17.4491i | −0.219039 | + | 0.657636i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −41.3452 | − | 10.5543i | −1.55605 | − | 0.397216i | ||||
\(707\) | −3.45478 | + | 1.43101i | −0.129930 | + | 0.0538189i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 2.62019 | − | 6.32569i | 0.0984031 | − | 0.237566i | −0.867010 | − | 0.498290i | \(-0.833961\pi\) |
0.965413 | + | 0.260724i | \(0.0839613\pi\) | |||||||
\(710\) | 22.2595 | − | 3.19962i | 0.835383 | − | 0.120079i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 0.274385 | + | 7.70580i | 0.0102830 | + | 0.288787i | ||||
\(713\) | −47.9261 | − | 47.9261i | −1.79485 | − | 1.79485i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.289095 | + | 0.697937i | −0.0108115 | + | 0.0261014i | ||||
\(716\) | −5.51647 | + | 51.2762i | −0.206160 | + | 1.91628i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −9.02720 | + | 5.35565i | −0.336892 | + | 0.199871i | ||||
\(719\) | − | 17.1528i | − | 0.639691i | −0.947470 | − | 0.319845i | \(-0.896369\pi\) | ||
0.947470 | − | 0.319845i | \(-0.103631\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 3.16839i | 0.117997i | ||||||||
\(722\) | −1.58779 | − | 2.67629i | −0.0590913 | − | 0.0996012i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −16.5516 | − | 20.5423i | −0.615135 | − | 0.763447i | ||||
\(725\) | 15.5751 | − | 37.6017i | 0.578445 | − | 1.39649i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −7.52775 | − | 7.52775i | −0.279189 | − | 0.279189i | 0.553596 | − | 0.832785i | \(-0.313255\pi\) |
−0.832785 | + | 0.553596i | \(0.813255\pi\) | |||||||
\(728\) | −0.0882955 | + | 0.0403117i | −0.00327245 | + | 0.00149405i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −1.30574 | − | 9.08396i | −0.0483278 | − | 0.336212i | ||||
\(731\) | −12.4659 | + | 30.0954i | −0.461068 | + | 1.11312i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −7.56986 | + | 3.13554i | −0.279599 | + | 0.115814i | −0.518076 | − | 0.855334i | \(-0.673352\pi\) |
0.238477 | + | 0.971148i | \(0.423352\pi\) | |||||||
\(734\) | −10.9616 | + | 42.9407i | −0.404600 | + | 1.58497i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 17.3683 | − | 34.6819i | 0.640203 | − | 1.27839i | ||||
\(737\) | 34.0482i | 1.25418i | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 3.52118 | + | 8.50088i | 0.129529 | + | 0.312710i | 0.975317 | − | 0.220808i | \(-0.0708696\pi\) |
−0.845789 | + | 0.533518i | \(0.820870\pi\) | |||||||
\(740\) | 2.83537 | − | 0.832318i | 0.104230 | − | 0.0305966i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 5.26641 | − | 0.757003i | 0.193336 | − | 0.0277905i | ||||
\(743\) | −6.66625 | − | 6.66625i | −0.244561 | − | 0.244561i | 0.574173 | − | 0.818734i | \(-0.305324\pi\) |
−0.818734 | + | 0.574173i | \(0.805324\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 1.50597 | − | 1.50597i | 0.0551745 | − | 0.0551745i | ||||
\(746\) | 11.2479 | − | 15.0243i | 0.411814 | − | 0.550078i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −12.0038 | − | 14.8980i | −0.438904 | − | 0.544726i | ||||
\(749\) | 3.74431 | − | 1.55094i | 0.136814 | − | 0.0566702i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 8.17302 | 0.298238 | 0.149119 | − | 0.988819i | \(-0.452356\pi\) | ||||
0.149119 | + | 0.988819i | \(0.452356\pi\) | |||||||
\(752\) | 20.5600 | − | 13.2090i | 0.749746 | − | 0.481681i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −0.558992 | − | 0.942207i | −0.0203573 | − | 0.0343132i | ||||
\(755\) | −20.0140 | − | 48.3180i | −0.728383 | − | 1.75847i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −17.8950 | − | 7.41237i | −0.650406 | − | 0.269407i | 0.0329891 | − | 0.999456i | \(-0.489497\pi\) |
−0.683395 | + | 0.730049i | \(0.739497\pi\) | |||||||
\(758\) | 21.6030 | − | 28.8561i | 0.784657 | − | 1.04810i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −28.5709 | + | 30.6807i | −1.03637 | + | 1.11290i | ||||
\(761\) | −30.8536 | + | 30.8536i | −1.11844 | + | 1.11844i | −0.126471 | + | 0.991970i | \(0.540365\pi\) |
−0.991970 | + | 0.126471i | \(0.959635\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −2.99049 | − | 1.23870i | −0.108263 | − | 0.0448441i | ||||
\(764\) | −22.3957 | − | 12.2311i | −0.810249 | − | 0.442505i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −5.83173 | + | 22.8451i | −0.210709 | + | 0.825426i | ||||
\(767\) | −0.318233 | −0.0114907 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 36.0834 | 1.30120 | 0.650599 | − | 0.759421i | \(-0.274518\pi\) | ||||
0.650599 | + | 0.759421i | \(0.274518\pi\) | |||||||
\(770\) | 0.870272 | − | 3.40918i | 0.0313624 | − | 0.122858i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 22.1304 | + | 12.0862i | 0.796490 | + | 0.434991i | ||||
\(773\) | −14.9974 | − | 6.21213i | −0.539419 | − | 0.223435i | 0.0963038 | − | 0.995352i | \(-0.469298\pi\) |
−0.635723 | + | 0.771917i | \(0.719298\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 37.4852 | − | 37.4852i | 1.34651 | − | 1.34651i | ||||
\(776\) | 25.0181 | − | 26.8655i | 0.898096 | − | 0.964416i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 1.26856 | − | 1.69447i | 0.0454799 | − | 0.0607495i | ||||
\(779\) | −46.1974 | − | 19.1356i | −1.65519 | − | 0.685604i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 4.34575 | + | 10.4916i | 0.155503 | + | 0.375418i | ||||
\(782\) | 20.5882 | + | 34.7024i | 0.736233 | + | 1.24096i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −23.1769 | + | 14.8902i | −0.827747 | + | 0.531793i | ||||
\(785\) | 47.7779 | 1.70527 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 43.7262 | − | 18.1120i | 1.55867 | − | 0.645623i | 0.573813 | − | 0.818986i | \(-0.305464\pi\) |
0.984858 | + | 0.173364i | \(0.0554636\pi\) | |||||||
\(788\) | −0.905733 | − | 1.12411i | −0.0322654 | − | 0.0400448i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −4.19567 | + | 5.60434i | −0.149275 | + | 0.199393i | ||||
\(791\) | 1.70234 | − | 1.70234i | 0.0605284 | − | 0.0605284i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 0.491611 | + | 0.491611i | 0.0174576 | + | 0.0174576i | ||||
\(794\) | 16.0213 | − | 2.30293i | 0.568575 | − | 0.0817280i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 11.5865 | − | 3.40119i | 0.410671 | − | 0.120552i | ||||
\(797\) | 10.6617 | + | 25.7396i | 0.377656 | + | 0.911742i | 0.992404 | + | 0.123019i | \(0.0392576\pi\) |
−0.614748 | + | 0.788723i | \(0.710742\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 25.4218i | 0.899358i | ||||||||
\(800\) | 27.1263 | + | 13.5845i | 0.959058 | + | 0.480285i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −8.31553 | + | 32.5751i | −0.293632 | + | 1.15027i | ||||
\(803\) | 4.28155 | − | 1.77347i | 0.151092 | − | 0.0625845i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −2.83973 | + | 6.85571i | −0.100087 | + | 0.241632i | ||||
\(806\) | −0.203028 | − | 1.41245i | −0.00715137 | − | 0.0497515i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 28.6195 | − | 13.0664i | 1.00683 | − | 0.459673i | ||||
\(809\) | 7.10579 | + | 7.10579i | 0.249826 | + | 0.249826i | 0.820899 | − | 0.571073i | \(-0.193473\pi\) |
−0.571073 | + | 0.820899i | \(0.693473\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −12.7431 | + | 30.7646i | −0.447471 | + | 1.08029i | 0.525795 | + | 0.850611i | \(0.323768\pi\) |
−0.973266 | + | 0.229680i | \(0.926232\pi\) | |||||||
\(812\) | 3.20142 | + | 3.97331i | 0.112348 | + | 0.139436i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0.761379 | + | 1.28334i | 0.0266863 | + | 0.0449811i | ||||
\(815\) | − | 22.4292i | − | 0.785662i | ||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 36.0451i | 1.26106i | ||||||||
\(818\) | −41.5799 | + | 24.6685i | −1.45381 | + | 0.862514i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −7.47911 | + | 69.5191i | −0.261182 | + | 2.42771i | ||||
\(821\) | 17.6756 | − | 42.6728i | 0.616884 | − | 1.48929i | −0.238419 | − | 0.971162i | \(-0.576629\pi\) |
0.855303 | − | 0.518128i | \(-0.173371\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −26.0687 | − | 26.0687i | −0.908697 | − | 0.908697i | 0.0874705 | − | 0.996167i | \(-0.472122\pi\) |
−0.996167 | + | 0.0874705i | \(0.972122\pi\) | |||||||
\(824\) | −0.948587 | − | 26.6400i | −0.0330456 | − | 0.928048i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 1.46711 | − | 0.210885i | 0.0510472 | − | 0.00733762i | ||||
\(827\) | 0.996651 | − | 2.40613i | 0.0346569 | − | 0.0836693i | −0.905603 | − | 0.424126i | \(-0.860582\pi\) |
0.940260 | + | 0.340456i | \(0.110582\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 15.8506 | − | 6.56553i | 0.550514 | − | 0.228030i | −0.0900472 | − | 0.995938i | \(-0.528702\pi\) |
0.640561 | + | 0.767907i | \(0.278702\pi\) | |||||||
\(830\) | −34.1067 | − | 8.70650i | −1.18386 | − | 0.302207i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0.730324 | − | 0.365378i | 0.0253194 | − | 0.0126672i | ||||
\(833\) | − | 28.6575i | − | 0.992925i | ||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 11.3843 | + | 27.4841i | 0.393970 | + | 0.951127i | ||||
\(836\) | −18.5801 | − | 10.1472i | −0.642605 | − | 0.350949i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −1.47699 | − | 10.2753i | −0.0510219 | − | 0.354955i | ||||
\(839\) | −22.7964 | − | 22.7964i | −0.787019 | − | 0.787019i | 0.193985 | − | 0.981004i | \(-0.437859\pi\) |
−0.981004 | + | 0.193985i | \(0.937859\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −20.2183 | + | 20.2183i | −0.697182 | + | 0.697182i | ||||
\(842\) | 26.8045 | + | 20.0671i | 0.923744 | + | 0.691557i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −33.6564 | − | 3.62088i | −1.15850 | − | 0.124636i | ||||
\(845\) | −38.6325 | + | 16.0021i | −1.32900 | + | 0.550489i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −1.92125 | −0.0660149 | ||||||||
\(848\) | −44.0536 | + | 7.94163i | −1.51281 | + | 0.272717i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −27.1423 | + | 16.1030i | −0.930973 | + | 0.552327i | ||||
\(851\) | −1.20433 | − | 2.90751i | −0.0412839 | − | 0.0996681i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −12.7603 | − | 5.28551i | −0.436906 | − | 0.180972i | 0.153379 | − | 0.988167i | \(-0.450985\pi\) |
−0.590285 | + | 0.807195i | \(0.700985\pi\) | |||||||
\(854\) | −2.59219 | − | 1.94063i | −0.0887029 | − | 0.0664071i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −31.0180 | + | 14.1614i | −1.06017 | + | 0.484027i | ||||
\(857\) | −18.2677 | + | 18.2677i | −0.624014 | + | 0.624014i | −0.946555 | − | 0.322542i | \(-0.895463\pi\) |
0.322542 | + | 0.946555i | \(0.395463\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −11.7109 | − | 4.85082i | −0.399572 | − | 0.165508i | 0.173843 | − | 0.984773i | \(-0.444382\pi\) |
−0.573414 | + | 0.819265i | \(0.694382\pi\) | |||||||
\(860\) | 48.3613 | − | 14.1964i | 1.64911 | − | 0.484093i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −31.4017 | − | 8.01600i | −1.06955 | − | 0.273026i | ||||
\(863\) | −12.2378 | −0.416579 | −0.208290 | − | 0.978067i | \(-0.566790\pi\) | ||||
−0.208290 | + | 0.978067i | \(0.566790\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −11.3020 | −0.384280 | ||||||||
\(866\) | 24.1834 | + | 6.17337i | 0.821786 | + | 0.209780i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 1.87199 | + | 6.37710i | 0.0635395 | + | 0.216453i | ||||
\(869\) | −3.26615 | − | 1.35288i | −0.110797 | − | 0.0458935i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 1.06902 | − | 1.06902i | 0.0362222 | − | 0.0362222i | ||||
\(872\) | 25.5151 | + | 9.51975i | 0.864049 | + | 0.322379i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 35.7420 | + | 26.7581i | 1.20899 | + | 0.905107i | ||||
\(875\) | −0.362933 | − | 0.150332i | −0.0122694 | − | 0.00508214i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 11.9105 | + | 28.7545i | 0.402189 | + | 0.970971i | 0.987134 | + | 0.159897i | \(0.0511164\pi\) |
−0.584944 | + | 0.811073i | \(0.698884\pi\) | |||||||
\(878\) | 19.8018 | − | 11.7480i | 0.668278 | − | 0.396475i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −6.29661 | + | 28.9251i | −0.212259 | + | 0.975066i | ||||
\(881\) | 27.8002 | 0.936611 | 0.468306 | − | 0.883567i | \(-0.344865\pi\) | ||||
0.468306 | + | 0.883567i | \(0.344865\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 39.6413 | − | 16.4200i | 1.33404 | − | 0.552576i | 0.402232 | − | 0.915538i | \(-0.368235\pi\) |
0.931804 | + | 0.362962i | \(0.118235\pi\) | |||||||
\(884\) | −0.0908696 | + | 0.844642i | −0.00305627 | + | 0.0284084i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −39.7134 | − | 29.7313i | −1.33420 | − | 0.998842i | ||||
\(887\) | 0.491398 | − | 0.491398i | 0.0164995 | − | 0.0164995i | −0.698809 | − | 0.715308i | \(-0.746286\pi\) |
0.715308 | + | 0.698809i | \(0.246286\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 2.23911 | + | 2.23911i | 0.0750974 | + | 0.0750974i | ||||
\(890\) | 1.76582 | + | 12.2847i | 0.0591905 | + | 0.411784i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −28.2708 | + | 51.7653i | −0.946577 | + | 1.73323i | ||||
\(893\) | 10.7649 | + | 25.9887i | 0.360232 | + | 0.869677i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 83.0093i | 2.77470i | ||||||||
\(896\) | −3.12479 | + | 2.16842i | −0.104392 | + | 0.0724419i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −22.3672 | − | 5.70974i | −0.746404 | − | 0.190537i | ||||
\(899\) | −69.3055 | + | 28.7073i | −2.31147 | + | 0.957442i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 17.8203 | − | 43.0220i | 0.593681 | − | 1.43327i | ||||
\(902\) | −34.9487 | + | 5.02359i | −1.16366 | + | 0.167267i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −13.8037 | + | 14.8231i | −0.459105 | + | 0.493008i | ||||
\(905\) | −30.0250 | − | 30.0250i | −0.998065 | − | 0.998065i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 0.533580 | − | 1.28817i | 0.0177172 | − | 0.0427731i | −0.914773 | − | 0.403967i | \(-0.867631\pi\) |
0.932491 | + | 0.361194i | \(0.117631\pi\) | |||||||
\(908\) | 39.8488 | + | 4.28707i | 1.32243 | + | 0.142271i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −0.134363 | + | 0.0797146i | −0.00445408 | + | 0.00264251i | ||||
\(911\) | 19.5482i | 0.647661i | 0.946115 | + | 0.323830i | \(0.104971\pi\) | ||||
−0.946115 | + | 0.323830i | \(0.895029\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | − | 17.7753i | − | 0.588276i | ||||||
\(914\) | 22.6451 | + | 38.1695i | 0.749035 | + | 1.26253i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −8.52596 | + | 6.86965i | −0.281706 | + | 0.226980i | ||||
\(917\) | 0.438678 | − | 1.05906i | 0.0144864 | − | 0.0349733i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 13.3357 | + | 13.3357i | 0.439905 | + | 0.439905i | 0.891980 | − | 0.452075i | \(-0.149316\pi\) |
−0.452075 | + | 0.891980i | \(0.649316\pi\) | |||||||
\(920\) | 21.8240 | − | 58.4933i | 0.719517 | − | 1.92847i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −3.41328 | − | 23.7459i | −0.112410 | − | 0.782030i | ||||
\(923\) | 0.192961 | − | 0.465849i | 0.00635139 | − | 0.0153336i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 2.27409 | − | 0.941960i | 0.0747717 | − | 0.0309714i | ||||
\(926\) | −7.40954 | + | 29.0260i | −0.243493 | + | 0.953853i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −28.1073 | − | 32.4493i | −0.922667 | − | 1.06520i | ||||
\(929\) | − | 10.1690i | − | 0.333632i | −0.985988 | − | 0.166816i | \(-0.946651\pi\) | ||
0.985988 | − | 0.166816i | \(-0.0533487\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −12.1350 | − | 29.2965i | −0.397709 | − | 0.960155i | ||||
\(932\) | −0.556984 | − | 1.89742i | −0.0182446 | − | 0.0621519i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 15.7348 | − | 2.26175i | 0.514859 | − | 0.0740068i | ||||
\(935\) | −21.7753 | − | 21.7753i | −0.712128 | − | 0.712128i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −19.7470 | + | 19.7470i | −0.645107 | + | 0.645107i | −0.951806 | − | 0.306699i | \(-0.900775\pi\) |
0.306699 | + | 0.951806i | \(0.400775\pi\) | |||||||
\(938\) | −4.21994 | + | 5.63676i | −0.137786 | + | 0.184047i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 30.6289 | − | 24.6787i | 0.999005 | − | 0.804931i | ||||
\(941\) | −30.2481 | + | 12.5292i | −0.986059 | + | 0.408439i | −0.816667 | − | 0.577109i | \(-0.804181\pi\) |
−0.169393 | + | 0.985549i | \(0.554181\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 74.4646 | 2.42490 | ||||||||
\(944\) | −12.2724 | + | 2.21237i | −0.399432 | + | 0.0720064i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 12.9864 | + | 21.8892i | 0.422225 | + | 0.711681i | ||||
\(947\) | 21.4716 | + | 51.8370i | 0.697732 | + | 1.68448i | 0.728589 | + | 0.684951i | \(0.240177\pi\) |
−0.0308563 | + | 0.999524i | \(0.509823\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −0.190110 | − | 0.0787463i | −0.00617124 | − | 0.00255621i | ||||
\(950\) | −20.9287 | + | 27.9554i | −0.679018 | + | 0.906994i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −0.140798 | − | 3.95416i | −0.00456330 | − | 0.128155i | ||||
\(953\) | 39.2913 | − | 39.2913i | 1.27277 | − | 1.27277i | 0.328143 | − | 0.944628i | \(-0.393577\pi\) |
0.944628 | − | 0.328143i | \(-0.106423\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −37.9467 | − | 15.7180i | −1.22793 | − | 0.508624i | ||||
\(956\) | −21.1888 | + | 38.7978i | −0.685296 | + | 1.25481i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −12.6138 | + | 49.4130i | −0.407533 | + | 1.59646i | ||||
\(959\) | 3.92887 | 0.126870 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −66.7092 | −2.15191 | ||||||||
\(962\) | 0.0163881 | − | 0.0641984i | 0.000528374 | − | 0.00206984i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −8.71754 | + | 15.9623i | −0.280773 | + | 0.514110i | ||||
\(965\) | 37.4971 | + | 15.5318i | 1.20708 | + | 0.499987i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −6.93096 | + | 6.93096i | −0.222885 | + | 0.222885i | −0.809712 | − | 0.586827i | \(-0.800377\pi\) |
0.586827 | + | 0.809712i | \(0.300377\pi\) | |||||||
\(968\) | 16.1539 | − | 0.575203i | 0.519208 | − | 0.0184877i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 35.4121 | − | 47.3015i | 1.13701 | − | 1.51876i | ||||
\(971\) | −10.2938 | − | 4.26384i | −0.330345 | − | 0.136833i | 0.211346 | − | 0.977411i | \(-0.432215\pi\) |
−0.541690 | + | 0.840578i | \(0.682215\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −0.144381 | − | 0.348567i | −0.00462865 | − | 0.0111745i | ||||
\(974\) | 7.13400 | + | 12.0247i | 0.228588 | + | 0.385296i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 22.3763 | + | 15.5409i | 0.716247 | + | 0.497451i | ||||
\(977\) | 59.9974 | 1.91949 | 0.959743 | − | 0.280879i | \(-0.0906258\pi\) | ||||
0.959743 | + | 0.280879i | \(0.0906258\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −5.79015 | + | 2.39836i | −0.185054 | + | 0.0766518i | ||||
\(980\) | −34.5274 | + | 27.8199i | −1.10294 | + | 0.888673i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 5.84979 | − | 7.81382i | 0.186674 | − | 0.249349i | ||||
\(983\) | −8.59392 | + | 8.59392i | −0.274104 | + | 0.274104i | −0.830750 | − | 0.556646i | \(-0.812088\pi\) |
0.556646 | + | 0.830750i | \(0.312088\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −1.64302 | − | 1.64302i | −0.0523511 | − | 0.0523511i | ||||
\(986\) | 44.2047 | − | 6.35407i | 1.40777 | − | 0.202355i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0.264768 | + | 0.901955i | 0.00842338 | + | 0.0286950i | ||||
\(989\) | −20.5416 | − | 49.5918i | −0.653184 | − | 1.57693i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 17.4869i | 0.555488i | 0.960655 | + | 0.277744i | \(0.0895867\pi\) | ||||
−0.960655 | + | 0.277744i | \(0.910413\pi\) | |||||||
\(992\) | −17.6490 | − | 53.0585i | −0.560357 | − | 1.68461i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −0.580877 | + | 2.27552i | −0.0184243 | + | 0.0721750i | ||||
\(995\) | 17.9567 | − | 7.43792i | 0.569267 | − | 0.235798i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 19.1891 | − | 46.3265i | 0.607724 | − | 1.46718i | −0.257745 | − | 0.966213i | \(-0.582979\pi\) |
0.865469 | − | 0.500963i | \(-0.167021\pi\) | |||||||
\(998\) | −1.61862 | − | 11.2606i | −0.0512367 | − | 0.356449i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 288.2.w.a.107.5 | yes | 32 | |
3.2 | odd | 2 | 288.2.w.b.107.4 | yes | 32 | ||
4.3 | odd | 2 | 1152.2.w.b.719.1 | 32 | |||
12.11 | even | 2 | 1152.2.w.a.719.8 | 32 | |||
32.3 | odd | 8 | 288.2.w.b.35.4 | yes | 32 | ||
32.29 | even | 8 | 1152.2.w.a.431.8 | 32 | |||
96.29 | odd | 8 | 1152.2.w.b.431.1 | 32 | |||
96.35 | even | 8 | inner | 288.2.w.a.35.5 | ✓ | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
288.2.w.a.35.5 | ✓ | 32 | 96.35 | even | 8 | inner | |
288.2.w.a.107.5 | yes | 32 | 1.1 | even | 1 | trivial | |
288.2.w.b.35.4 | yes | 32 | 32.3 | odd | 8 | ||
288.2.w.b.107.4 | yes | 32 | 3.2 | odd | 2 | ||
1152.2.w.a.431.8 | 32 | 32.29 | even | 8 | |||
1152.2.w.a.719.8 | 32 | 12.11 | even | 2 | |||
1152.2.w.b.431.1 | 32 | 96.29 | odd | 8 | |||
1152.2.w.b.719.1 | 32 | 4.3 | odd | 2 |