Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [76,2,Mod(3,76)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(76, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("76.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 76 = 2^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 76.k (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.606863055362\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 67.6 | ||
Character | \(\chi\) | \(=\) | 76.67 |
Dual form | 76.2.k.a.59.6 |
$q$-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 \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{17}{18}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.343391 | + | 1.37189i | 0.242814 | + | 0.970073i | ||||
\(3\) | −1.20007 | + | 1.00697i | −0.692858 | + | 0.581377i | −0.919732 | − | 0.392547i | \(-0.871594\pi\) |
0.226874 | + | 0.973924i | \(0.427149\pi\) | |||||||
\(4\) | −1.76416 | + | 0.942190i | −0.882082 | + | 0.471095i | ||||
\(5\) | 0.709721 | + | 0.258317i | 0.317397 | + | 0.115523i | 0.495806 | − | 0.868433i | \(-0.334873\pi\) |
−0.178409 | + | 0.983956i | \(0.557095\pi\) | |||||||
\(6\) | −1.79355 | − | 1.30057i | −0.732214 | − | 0.530956i | ||||
\(7\) | 0.937645 | + | 0.541349i | 0.354396 | + | 0.204611i | 0.666620 | − | 0.745398i | \(-0.267740\pi\) |
−0.312223 | + | 0.950009i | \(0.601074\pi\) | |||||||
\(8\) | −1.89838 | − | 2.09670i | −0.671179 | − | 0.741296i | ||||
\(9\) | −0.0947852 | + | 0.537553i | −0.0315951 | + | 0.179184i | ||||
\(10\) | −0.110671 | + | 1.06236i | −0.0349972 | + | 0.335949i | ||||
\(11\) | 2.64713 | − | 1.52832i | 0.798140 | − | 0.460806i | −0.0446804 | − | 0.999001i | \(-0.514227\pi\) |
0.842820 | + | 0.538195i | \(0.180894\pi\) | |||||||
\(12\) | 1.16835 | − | 2.90716i | 0.337274 | − | 0.839224i | ||||
\(13\) | 2.97626 | − | 3.54697i | 0.825465 | − | 0.983751i | −0.174534 | − | 0.984651i | \(-0.555842\pi\) |
1.00000 | 0.000899967i | \(0.000286468\pi\) | ||||||||
\(14\) | −0.420693 | + | 1.47224i | −0.112435 | + | 0.393473i | ||||
\(15\) | −1.11183 | + | 0.404673i | −0.287073 | + | 0.104486i | ||||
\(16\) | 2.22456 | − | 3.32436i | 0.556139 | − | 0.831089i | ||||
\(17\) | 0.837695 | + | 4.75081i | 0.203171 | + | 1.15224i | 0.900292 | + | 0.435286i | \(0.143353\pi\) |
−0.697121 | + | 0.716953i | \(0.745536\pi\) | |||||||
\(18\) | −0.770013 | + | 0.0545563i | −0.181494 | + | 0.0128590i | ||||
\(19\) | −1.62987 | − | 4.04271i | −0.373917 | − | 0.927462i | ||||
\(20\) | −1.49545 | + | 0.212978i | −0.334392 | + | 0.0476232i | ||||
\(21\) | −1.67036 | + | 0.294530i | −0.364502 | + | 0.0642716i | ||||
\(22\) | 3.00569 | + | 3.10676i | 0.640815 | + | 0.662363i | ||||
\(23\) | 1.30131 | + | 3.57533i | 0.271343 | + | 0.745508i | 0.998270 | + | 0.0587937i | \(0.0187254\pi\) |
−0.726927 | + | 0.686714i | \(0.759052\pi\) | |||||||
\(24\) | 4.38950 | + | 0.604558i | 0.896004 | + | 0.123405i | ||||
\(25\) | −3.39325 | − | 2.84727i | −0.678649 | − | 0.569454i | ||||
\(26\) | 5.88807 | + | 2.86510i | 1.15474 | + | 0.561893i | ||||
\(27\) | −2.77742 | − | 4.81062i | −0.534514 | − | 0.925805i | ||||
\(28\) | −2.16421 | − | 0.0715903i | −0.408998 | − | 0.0135293i | ||||
\(29\) | −6.38295 | − | 1.12549i | −1.18528 | − | 0.208997i | −0.453956 | − | 0.891024i | \(-0.649988\pi\) |
−0.731327 | + | 0.682027i | \(0.761099\pi\) | |||||||
\(30\) | −0.936960 | − | 1.38635i | −0.171065 | − | 0.253111i | ||||
\(31\) | 0.249223 | − | 0.431666i | 0.0447617 | − | 0.0775295i | −0.842777 | − | 0.538264i | \(-0.819080\pi\) |
0.887538 | + | 0.460734i | \(0.152414\pi\) | |||||||
\(32\) | 5.32455 | + | 1.91029i | 0.941256 | + | 0.337695i | ||||
\(33\) | −1.63775 | + | 4.49968i | −0.285095 | + | 0.783293i | ||||
\(34\) | −6.22993 | + | 2.78061i | −1.06842 | + | 0.476871i | ||||
\(35\) | 0.525626 | + | 0.626417i | 0.0888470 | + | 0.105884i | ||||
\(36\) | −0.339261 | − | 1.03764i | −0.0565435 | − | 0.172940i | ||||
\(37\) | − | 2.70604i | − | 0.444870i | −0.974948 | − | 0.222435i | \(-0.928600\pi\) | ||
0.974948 | − | 0.222435i | \(-0.0714005\pi\) | |||||||
\(38\) | 4.98648 | − | 3.62423i | 0.808914 | − | 0.587928i | ||||
\(39\) | 7.25360i | 1.16151i | ||||||||
\(40\) | −0.805706 | − | 1.97846i | −0.127393 | − | 0.312821i | ||||
\(41\) | −3.63013 | − | 4.32622i | −0.566930 | − | 0.675641i | 0.404068 | − | 0.914729i | \(-0.367596\pi\) |
−0.970998 | + | 0.239088i | \(0.923152\pi\) | |||||||
\(42\) | −0.977649 | − | 2.19041i | −0.150855 | − | 0.337988i | ||||
\(43\) | −2.40019 | + | 6.59447i | −0.366026 | + | 1.00565i | 0.610833 | + | 0.791760i | \(0.290835\pi\) |
−0.976858 | + | 0.213888i | \(0.931387\pi\) | |||||||
\(44\) | −3.23001 | + | 5.19031i | −0.486942 | + | 0.782469i | ||||
\(45\) | −0.206130 | + | 0.357028i | −0.0307281 | + | 0.0532226i | ||||
\(46\) | −4.45810 | + | 3.01300i | −0.657311 | + | 0.444242i | ||||
\(47\) | 8.31690 | + | 1.46649i | 1.21314 | + | 0.213910i | 0.743373 | − | 0.668877i | \(-0.233225\pi\) |
0.469772 | + | 0.882788i | \(0.344336\pi\) | |||||||
\(48\) | 0.677930 | + | 6.22952i | 0.0978507 | + | 0.899153i | ||||
\(49\) | −2.91388 | − | 5.04699i | −0.416269 | − | 0.720999i | ||||
\(50\) | 2.74093 | − | 5.63289i | 0.387626 | − | 0.796611i | ||||
\(51\) | −5.78923 | − | 4.85774i | −0.810654 | − | 0.680219i | ||||
\(52\) | −1.90869 | + | 9.06163i | −0.264688 | + | 1.25662i | ||||
\(53\) | 4.64782 | + | 12.7698i | 0.638427 | + | 1.75406i | 0.656611 | + | 0.754229i | \(0.271989\pi\) |
−0.0181838 | + | 0.999835i | \(0.505788\pi\) | |||||||
\(54\) | 5.64591 | − | 5.46223i | 0.768311 | − | 0.743316i | ||||
\(55\) | 2.27352 | − | 0.400882i | 0.306561 | − | 0.0540549i | ||||
\(56\) | −0.644958 | − | 2.99365i | −0.0861862 | − | 0.400043i | ||||
\(57\) | 6.02685 | + | 3.21029i | 0.798276 | + | 0.425213i | ||||
\(58\) | −0.647805 | − | 9.14318i | −0.0850609 | − | 1.20056i | ||||
\(59\) | −0.185976 | − | 1.05472i | −0.0242121 | − | 0.137313i | 0.970306 | − | 0.241882i | \(-0.0777648\pi\) |
−0.994518 | + | 0.104569i | \(0.966654\pi\) | |||||||
\(60\) | 1.58017 | − | 1.76146i | 0.203999 | − | 0.227404i | ||||
\(61\) | 5.54306 | − | 2.01751i | 0.709715 | − | 0.258315i | 0.0381622 | − | 0.999272i | \(-0.487850\pi\) |
0.671553 | + | 0.740956i | \(0.265627\pi\) | |||||||
\(62\) | 0.677779 | + | 0.193676i | 0.0860781 | + | 0.0245968i | ||||
\(63\) | −0.379879 | + | 0.452722i | −0.0478603 | + | 0.0570376i | ||||
\(64\) | −0.792308 | + | 7.96067i | −0.0990385 | + | 0.995084i | ||||
\(65\) | 3.02855 | − | 1.74854i | 0.375646 | − | 0.216879i | ||||
\(66\) | −6.73545 | − | 0.701662i | −0.829077 | − | 0.0863686i | ||||
\(67\) | 2.28900 | − | 12.9816i | 0.279646 | − | 1.58595i | −0.444160 | − | 0.895947i | \(-0.646498\pi\) |
0.723806 | − | 0.690003i | \(-0.242391\pi\) | |||||||
\(68\) | −5.95399 | − | 7.59194i | −0.722028 | − | 0.920657i | ||||
\(69\) | −5.16193 | − | 2.98024i | −0.621423 | − | 0.358779i | ||||
\(70\) | −0.678880 | + | 0.936207i | −0.0811416 | + | 0.111898i | ||||
\(71\) | −2.22740 | − | 0.810707i | −0.264344 | − | 0.0962132i | 0.206448 | − | 0.978458i | \(-0.433809\pi\) |
−0.470792 | + | 0.882244i | \(0.656032\pi\) | |||||||
\(72\) | 1.30703 | − | 0.821744i | 0.154035 | − | 0.0968435i | ||||
\(73\) | 4.77080 | − | 4.00317i | 0.558380 | − | 0.468536i | −0.319387 | − | 0.947624i | \(-0.603477\pi\) |
0.877767 | + | 0.479088i | \(0.159033\pi\) | |||||||
\(74\) | 3.71238 | − | 0.929229i | 0.431556 | − | 0.108021i | ||||
\(75\) | 6.93925 | 0.801275 | ||||||||
\(76\) | 6.68436 | + | 5.59637i | 0.766748 | + | 0.641948i | ||||
\(77\) | 3.30942 | 0.377144 | ||||||||
\(78\) | −9.95115 | + | 2.49082i | −1.12675 | + | 0.282030i | ||||
\(79\) | −10.7050 | + | 8.98260i | −1.20441 | + | 1.01062i | −0.204919 | + | 0.978779i | \(0.565693\pi\) |
−0.999493 | + | 0.0318423i | \(0.989863\pi\) | |||||||
\(80\) | 2.43755 | − | 1.78472i | 0.272527 | − | 0.199538i | ||||
\(81\) | 6.63847 | + | 2.41621i | 0.737608 | + | 0.268467i | ||||
\(82\) | 4.68854 | − | 6.46572i | 0.517763 | − | 0.714019i | ||||
\(83\) | −10.7411 | − | 6.20140i | −1.17899 | − | 0.680692i | −0.223212 | − | 0.974770i | \(-0.571654\pi\) |
−0.955782 | + | 0.294077i | \(0.904988\pi\) | |||||||
\(84\) | 2.66929 | − | 2.09340i | 0.291243 | − | 0.228408i | ||||
\(85\) | −0.632685 | + | 3.58814i | −0.0686243 | + | 0.389188i | ||||
\(86\) | −9.87109 | − | 1.02832i | −1.06443 | − | 0.110886i | ||||
\(87\) | 8.79329 | − | 5.07681i | 0.942739 | − | 0.544291i | ||||
\(88\) | −8.22969 | − | 2.64891i | −0.877288 | − | 0.282374i | ||||
\(89\) | 3.51946 | − | 4.19433i | 0.373062 | − | 0.444598i | −0.546549 | − | 0.837427i | \(-0.684059\pi\) |
0.919612 | + | 0.392828i | \(0.128503\pi\) | |||||||
\(90\) | −0.560587 | − | 0.160188i | −0.0590910 | − | 0.0168853i | ||||
\(91\) | 4.71082 | − | 1.71460i | 0.493828 | − | 0.179739i | ||||
\(92\) | −5.66437 | − | 5.08139i | −0.590552 | − | 0.529771i | ||||
\(93\) | 0.135593 | + | 0.768988i | 0.0140604 | + | 0.0797404i | ||||
\(94\) | 0.844082 | + | 11.9135i | 0.0870604 | + | 1.22878i | ||||
\(95\) | −0.112447 | − | 3.29022i | −0.0115368 | − | 0.337569i | ||||
\(96\) | −8.31342 | + | 3.06921i | −0.848485 | + | 0.313250i | ||||
\(97\) | −3.44962 | + | 0.608262i | −0.350256 | + | 0.0617596i | −0.346009 | − | 0.938231i | \(-0.612463\pi\) |
−0.00424764 | + | 0.999991i | \(0.501352\pi\) | |||||||
\(98\) | 5.92332 | − | 5.73062i | 0.598345 | − | 0.578880i | ||||
\(99\) | 0.570646 | + | 1.56784i | 0.0573520 | + | 0.157573i | ||||
\(100\) | 8.66892 | + | 1.82597i | 0.866892 | + | 0.182597i | ||||
\(101\) | −0.588423 | − | 0.493745i | −0.0585502 | − | 0.0491295i | 0.613043 | − | 0.790050i | \(-0.289945\pi\) |
−0.671593 | + | 0.740920i | \(0.734390\pi\) | |||||||
\(102\) | 4.67631 | − | 9.61029i | 0.463024 | − | 0.951560i | ||||
\(103\) | 7.50991 | + | 13.0075i | 0.739973 | + | 1.28167i | 0.952507 | + | 0.304518i | \(0.0984953\pi\) |
−0.212533 | + | 0.977154i | \(0.568171\pi\) | |||||||
\(104\) | −13.0870 | + | 0.493166i | −1.28329 | + | 0.0483589i | ||||
\(105\) | −1.26157 | − | 0.222449i | −0.123117 | − | 0.0217088i | ||||
\(106\) | −15.9227 | + | 10.7613i | −1.54655 | + | 1.04523i | ||||
\(107\) | −7.48422 | + | 12.9630i | −0.723527 | + | 1.25319i | 0.236051 | + | 0.971741i | \(0.424147\pi\) |
−0.959578 | + | 0.281444i | \(0.909187\pi\) | |||||||
\(108\) | 9.43234 | + | 5.86988i | 0.907627 | + | 0.564830i | ||||
\(109\) | −1.20073 | + | 3.29897i | −0.115009 | + | 0.315984i | −0.983820 | − | 0.179160i | \(-0.942662\pi\) |
0.868811 | + | 0.495143i | \(0.164884\pi\) | |||||||
\(110\) | 1.33067 | + | 2.98135i | 0.126875 | + | 0.284261i | ||||
\(111\) | 2.72491 | + | 3.24742i | 0.258637 | + | 0.308231i | ||||
\(112\) | 3.88548 | − | 1.91280i | 0.367144 | − | 0.180743i | ||||
\(113\) | 4.87099i | 0.458224i | 0.973400 | + | 0.229112i | \(0.0735823\pi\) | ||||
−0.973400 | + | 0.229112i | \(0.926418\pi\) | |||||||
\(114\) | −2.33459 | + | 9.37057i | −0.218655 | + | 0.877634i | ||||
\(115\) | 2.87364i | 0.267968i | ||||||||
\(116\) | 12.3210 | − | 4.02841i | 1.14398 | − | 0.374028i | ||||
\(117\) | 1.62458 | + | 1.93610i | 0.150192 | + | 0.178992i | ||||
\(118\) | 1.38310 | − | 0.617322i | 0.127325 | − | 0.0568291i | ||||
\(119\) | −1.78639 | + | 4.90805i | −0.163758 | + | 0.449921i | ||||
\(120\) | 2.95915 | + | 1.56295i | 0.270133 | + | 0.142677i | ||||
\(121\) | −0.828467 | + | 1.43495i | −0.0753151 | + | 0.130450i | ||||
\(122\) | 4.67123 | + | 6.91167i | 0.422914 | + | 0.625753i | ||||
\(123\) | 8.71278 | + | 1.53630i | 0.785605 | + | 0.138523i | ||||
\(124\) | −0.0329582 | + | 0.996345i | −0.00295973 | + | 0.0894744i | ||||
\(125\) | −3.56093 | − | 6.16771i | −0.318499 | − | 0.551657i | ||||
\(126\) | −0.751532 | − | 0.365691i | −0.0669518 | − | 0.0325784i | ||||
\(127\) | −8.42048 | − | 7.06562i | −0.747197 | − | 0.626973i | 0.187563 | − | 0.982253i | \(-0.439941\pi\) |
−0.934760 | + | 0.355280i | \(0.884386\pi\) | |||||||
\(128\) | −11.1932 | + | 1.64666i | −0.989352 | + | 0.145546i | ||||
\(129\) | −3.76008 | − | 10.3307i | −0.331056 | − | 0.909570i | ||||
\(130\) | 3.43878 | + | 3.55441i | 0.301601 | + | 0.311742i | ||||
\(131\) | −10.7902 | + | 1.90260i | −0.942741 | + | 0.166231i | −0.623835 | − | 0.781556i | \(-0.714426\pi\) |
−0.318906 | + | 0.947786i | \(0.603315\pi\) | |||||||
\(132\) | −1.35029 | − | 9.48125i | −0.117528 | − | 0.825236i | ||||
\(133\) | 0.660287 | − | 4.67296i | 0.0572541 | − | 0.405197i | ||||
\(134\) | 18.5953 | − | 1.31750i | 1.60639 | − | 0.113815i | ||||
\(135\) | −0.728522 | − | 4.13165i | −0.0627012 | − | 0.355596i | ||||
\(136\) | 8.37075 | − | 10.7752i | 0.717786 | − | 0.923968i | ||||
\(137\) | −11.6234 | + | 4.23059i | −0.993057 | + | 0.361443i | −0.786903 | − | 0.617076i | \(-0.788317\pi\) |
−0.206154 | + | 0.978520i | \(0.566095\pi\) | |||||||
\(138\) | 2.31600 | − | 8.10499i | 0.197151 | − | 0.689942i | ||||
\(139\) | 5.97171 | − | 7.11681i | 0.506514 | − | 0.603640i | −0.450823 | − | 0.892613i | \(-0.648870\pi\) |
0.957337 | + | 0.288974i | \(0.0933140\pi\) | |||||||
\(140\) | −1.51749 | − | 0.609863i | −0.128252 | − | 0.0515428i | ||||
\(141\) | −11.4575 | + | 6.61502i | −0.964900 | + | 0.557085i | ||||
\(142\) | 0.347332 | − | 3.33414i | 0.0291474 | − | 0.279794i | ||||
\(143\) | 2.45764 | − | 13.9380i | 0.205518 | − | 1.16555i | ||||
\(144\) | 1.57616 | + | 1.51092i | 0.131347 | + | 0.125910i | ||||
\(145\) | −4.23938 | − | 2.44760i | −0.352061 | − | 0.203263i | ||||
\(146\) | 7.13017 | + | 5.17036i | 0.590097 | + | 0.427902i | ||||
\(147\) | 8.57904 | + | 3.12251i | 0.707587 | + | 0.257541i | ||||
\(148\) | 2.54960 | + | 4.77389i | 0.209576 | + | 0.392412i | ||||
\(149\) | −0.921936 | + | 0.773596i | −0.0755280 | + | 0.0633755i | −0.679770 | − | 0.733425i | \(-0.737920\pi\) |
0.604242 | + | 0.796801i | \(0.293476\pi\) | |||||||
\(150\) | 2.38288 | + | 9.51988i | 0.194561 | + | 0.777295i | ||||
\(151\) | −2.35305 | −0.191489 | −0.0957444 | − | 0.995406i | \(-0.530523\pi\) | ||||
−0.0957444 | + | 0.995406i | \(0.530523\pi\) | |||||||
\(152\) | −5.38226 | + | 11.0919i | −0.436559 | + | 0.899676i | ||||
\(153\) | −2.63321 | −0.212883 | ||||||||
\(154\) | 1.13643 | + | 4.54017i | 0.0915759 | + | 0.365857i | ||||
\(155\) | 0.288385 | − | 0.241984i | 0.0231637 | − | 0.0194366i | ||||
\(156\) | −6.83427 | − | 12.7966i | −0.547180 | − | 1.02454i | ||||
\(157\) | −3.10209 | − | 1.12907i | −0.247573 | − | 0.0901093i | 0.215253 | − | 0.976558i | \(-0.430942\pi\) |
−0.462826 | + | 0.886449i | \(0.653165\pi\) | |||||||
\(158\) | −15.9992 | − | 11.6016i | −1.27282 | − | 0.922974i | ||||
\(159\) | −18.4365 | − | 10.6443i | −1.46211 | − | 0.844151i | ||||
\(160\) | 3.28548 | + | 2.73120i | 0.259740 | + | 0.215920i | ||||
\(161\) | −0.715333 | + | 4.05686i | −0.0563762 | + | 0.319725i | ||||
\(162\) | −1.03518 | + | 9.93696i | −0.0813312 | + | 0.780721i | ||||
\(163\) | 0.156238 | − | 0.0902042i | 0.0122375 | − | 0.00706534i | −0.493869 | − | 0.869536i | \(-0.664418\pi\) |
0.506106 | + | 0.862471i | \(0.331084\pi\) | |||||||
\(164\) | 10.4803 | + | 4.21189i | 0.818371 | + | 0.328893i | ||||
\(165\) | −2.32469 | + | 2.77046i | −0.180977 | + | 0.215680i | ||||
\(166\) | 4.81923 | − | 16.8652i | 0.374045 | − | 1.30899i | ||||
\(167\) | 12.2782 | − | 4.46888i | 0.950112 | − | 0.345813i | 0.179961 | − | 0.983674i | \(-0.442403\pi\) |
0.770151 | + | 0.637861i | \(0.220181\pi\) | |||||||
\(168\) | 3.78852 | + | 2.94312i | 0.292291 | + | 0.227066i | ||||
\(169\) | −1.46543 | − | 8.31086i | −0.112725 | − | 0.639297i | ||||
\(170\) | −5.13979 | + | 0.364160i | −0.394204 | + | 0.0279298i | ||||
\(171\) | 2.32766 | − | 0.492950i | 0.178001 | − | 0.0376968i | ||||
\(172\) | −1.97891 | − | 13.8952i | −0.150891 | − | 1.05950i | ||||
\(173\) | 1.30043 | − | 0.229300i | 0.0988695 | − | 0.0174334i | −0.123995 | − | 0.992283i | \(-0.539571\pi\) |
0.222864 | + | 0.974850i | \(0.428459\pi\) | |||||||
\(174\) | 9.98436 | + | 10.3201i | 0.756912 | + | 0.782364i | ||||
\(175\) | −1.64029 | − | 4.50666i | −0.123994 | − | 0.340672i | ||||
\(176\) | 0.808004 | − | 12.1998i | 0.0609056 | − | 0.919598i | ||||
\(177\) | 1.28526 | + | 1.07846i | 0.0966064 | + | 0.0810624i | ||||
\(178\) | 6.96272 | + | 3.38802i | 0.521878 | + | 0.253943i | ||||
\(179\) | −4.15946 | − | 7.20439i | −0.310892 | − | 0.538481i | 0.667663 | − | 0.744463i | \(-0.267295\pi\) |
−0.978556 | + | 0.205982i | \(0.933961\pi\) | |||||||
\(180\) | 0.0272595 | − | 0.824070i | 0.00203180 | − | 0.0614226i | ||||
\(181\) | 14.1155 | + | 2.48894i | 1.04920 | + | 0.185001i | 0.671558 | − | 0.740952i | \(-0.265625\pi\) |
0.377637 | + | 0.925954i | \(0.376737\pi\) | |||||||
\(182\) | 3.96989 | + | 5.87395i | 0.294268 | + | 0.435406i | ||||
\(183\) | −4.62045 | + | 8.00285i | −0.341554 | + | 0.591588i | ||||
\(184\) | 5.02601 | − | 9.51580i | 0.370522 | − | 0.701514i | ||||
\(185\) | 0.699016 | − | 1.92053i | 0.0513927 | − | 0.141200i | ||||
\(186\) | −1.00841 | + | 0.450083i | −0.0739399 | + | 0.0330017i | ||||
\(187\) | 9.47825 | + | 11.2957i | 0.693118 | + | 0.826026i | ||||
\(188\) | −16.0541 | + | 5.24896i | −1.17087 | + | 0.382820i | ||||
\(189\) | − | 6.01421i | − | 0.437469i | ||||||
\(190\) | 4.47521 | − | 1.28410i | 0.324666 | − | 0.0931582i | ||||
\(191\) | 3.41758i | 0.247287i | 0.992327 | + | 0.123644i | \(0.0394580\pi\) | ||||
−0.992327 | + | 0.123644i | \(0.960542\pi\) | |||||||
\(192\) | −7.06537 | − | 10.3512i | −0.509899 | − | 0.747030i | ||||
\(193\) | 12.8703 | + | 15.3383i | 0.926428 | + | 1.10407i | 0.994325 | + | 0.106382i | \(0.0339265\pi\) |
−0.0678973 | + | 0.997692i | \(0.521629\pi\) | |||||||
\(194\) | −2.01904 | − | 4.52363i | −0.144959 | − | 0.324778i | ||||
\(195\) | −1.87373 | + | 5.14803i | −0.134181 | + | 0.368658i | ||||
\(196\) | 9.89579 | + | 6.15829i | 0.706842 | + | 0.439878i | ||||
\(197\) | 6.96502 | − | 12.0638i | 0.496237 | − | 0.859508i | −0.503753 | − | 0.863848i | \(-0.668048\pi\) |
0.999991 | + | 0.00433940i | \(0.00138128\pi\) | |||||||
\(198\) | −1.95494 | + | 1.32124i | −0.138932 | + | 0.0938967i | ||||
\(199\) | 24.0045 | + | 4.23264i | 1.70164 | + | 0.300044i | 0.938265 | − | 0.345917i | \(-0.112432\pi\) |
0.763370 | + | 0.645961i | \(0.223543\pi\) | |||||||
\(200\) | 0.471794 | + | 12.5198i | 0.0333608 | + | 0.885285i | ||||
\(201\) | 10.3252 | + | 17.8837i | 0.728280 | + | 1.26142i | ||||
\(202\) | 0.475305 | − | 0.976799i | 0.0334423 | − | 0.0687273i | ||||
\(203\) | −5.37565 | − | 4.51071i | −0.377297 | − | 0.316590i | ||||
\(204\) | 14.7901 | + | 3.11530i | 1.03551 | + | 0.218115i | ||||
\(205\) | −1.45884 | − | 4.00813i | −0.101890 | − | 0.279940i | ||||
\(206\) | −15.2661 | + | 14.7694i | −1.06364 | + | 1.02904i | ||||
\(207\) | −2.04528 | + | 0.360637i | −0.142157 | + | 0.0250660i | ||||
\(208\) | −5.17053 | − | 17.7846i | −0.358512 | − | 1.23314i | ||||
\(209\) | −10.4930 | − | 8.21063i | −0.725818 | − | 0.567941i | ||||
\(210\) | −0.128037 | − | 1.80712i | −0.00883538 | − | 0.124703i | ||||
\(211\) | 2.02045 | + | 11.4585i | 0.139093 | + | 0.788837i | 0.971921 | + | 0.235305i | \(0.0756090\pi\) |
−0.832828 | + | 0.553531i | \(0.813280\pi\) | |||||||
\(212\) | −20.2311 | − | 18.1489i | −1.38948 | − | 1.24647i | ||||
\(213\) | 3.48938 | − | 1.27003i | 0.239089 | − | 0.0870212i | ||||
\(214\) | −20.3539 | − | 5.81613i | −1.39136 | − | 0.397582i | ||||
\(215\) | −3.40693 | + | 4.06022i | −0.232351 | + | 0.276905i | ||||
\(216\) | −4.81385 | + | 14.9558i | −0.327541 | + | 1.01761i | ||||
\(217\) | 0.467364 | − | 0.269833i | 0.0317268 | − | 0.0183175i | ||||
\(218\) | −4.93814 | − | 0.514427i | −0.334453 | − | 0.0348414i | ||||
\(219\) | −1.69417 | + | 9.60814i | −0.114482 | + | 0.649258i | ||||
\(220\) | −3.63315 | + | 2.84931i | −0.244947 | + | 0.192100i | ||||
\(221\) | 19.3441 | + | 11.1683i | 1.30123 | + | 0.751264i | ||||
\(222\) | −3.51939 | + | 4.85341i | −0.236206 | + | 0.325740i | ||||
\(223\) | −18.9595 | − | 6.90070i | −1.26962 | − | 0.462105i | −0.382636 | − | 0.923899i | \(-0.624984\pi\) |
−0.886987 | + | 0.461794i | \(0.847206\pi\) | |||||||
\(224\) | 3.95840 | + | 4.67362i | 0.264482 | + | 0.312269i | ||||
\(225\) | 1.85219 | − | 1.55417i | 0.123479 | − | 0.103611i | ||||
\(226\) | −6.68247 | + | 1.67266i | −0.444511 | + | 0.111263i | ||||
\(227\) | −4.00906 | −0.266091 | −0.133045 | − | 0.991110i | \(-0.542476\pi\) | ||||
−0.133045 | + | 0.991110i | \(0.542476\pi\) | |||||||
\(228\) | −13.6571 | + | 0.0149632i | −0.904461 | + | 0.000990962i | ||||
\(229\) | −21.5588 | −1.42465 | −0.712324 | − | 0.701851i | \(-0.752357\pi\) | ||||
−0.712324 | + | 0.701851i | \(0.752357\pi\) | |||||||
\(230\) | −3.94232 | + | 0.986782i | −0.259949 | + | 0.0650665i | ||||
\(231\) | −3.97153 | + | 3.33251i | −0.261307 | + | 0.219263i | ||||
\(232\) | 9.75745 | + | 15.5197i | 0.640608 | + | 1.01892i | ||||
\(233\) | 0.862546 | + | 0.313941i | 0.0565073 | + | 0.0205670i | 0.370119 | − | 0.928984i | \(-0.379317\pi\) |
−0.313612 | + | 0.949551i | \(0.601539\pi\) | |||||||
\(234\) | −2.09825 | + | 2.89358i | −0.137167 | + | 0.189159i | ||||
\(235\) | 5.52386 | + | 3.18920i | 0.360337 | + | 0.208040i | ||||
\(236\) | 1.32184 | + | 1.68548i | 0.0860447 | + | 0.109716i | ||||
\(237\) | 3.80151 | − | 21.5594i | 0.246934 | − | 1.40043i | ||||
\(238\) | −7.34674 | − | 0.765342i | −0.476218 | − | 0.0496098i | ||||
\(239\) | 11.7324 | − | 6.77369i | 0.758904 | − | 0.438154i | −0.0699979 | − | 0.997547i | \(-0.522299\pi\) |
0.828902 | + | 0.559394i | \(0.188966\pi\) | |||||||
\(240\) | −1.12805 | + | 4.59634i | −0.0728153 | + | 0.296692i | ||||
\(241\) | −7.78203 | + | 9.27426i | −0.501284 | + | 0.597408i | −0.956050 | − | 0.293204i | \(-0.905279\pi\) |
0.454766 | + | 0.890611i | \(0.349723\pi\) | |||||||
\(242\) | −2.25308 | − | 0.643817i | −0.144833 | − | 0.0413861i | ||||
\(243\) | 5.25984 | − | 1.91443i | 0.337419 | − | 0.122810i | ||||
\(244\) | −7.87799 | + | 8.78183i | −0.504337 | + | 0.562199i | ||||
\(245\) | −0.764317 | − | 4.33466i | −0.0488304 | − | 0.276931i | ||||
\(246\) | 0.884259 | + | 12.4805i | 0.0563783 | + | 0.795729i | ||||
\(247\) | −19.1903 | − | 6.25108i | −1.22105 | − | 0.397747i | ||||
\(248\) | −1.37819 | + | 0.296921i | −0.0875154 | + | 0.0188545i | ||||
\(249\) | 19.1347 | − | 3.37397i | 1.21261 | − | 0.213817i | ||||
\(250\) | 7.23863 | − | 7.00314i | 0.457811 | − | 0.442918i | ||||
\(251\) | 6.39165 | + | 17.5609i | 0.403437 | + | 1.10843i | 0.960577 | + | 0.278016i | \(0.0896768\pi\) |
−0.557139 | + | 0.830419i | \(0.688101\pi\) | |||||||
\(252\) | 0.243619 | − | 1.15659i | 0.0153466 | − | 0.0728586i | ||||
\(253\) | 8.90900 | + | 7.47554i | 0.560104 | + | 0.469983i | ||||
\(254\) | 6.80174 | − | 13.9783i | 0.426779 | − | 0.877073i | ||||
\(255\) | −2.85390 | − | 4.94309i | −0.178718 | − | 0.309549i | ||||
\(256\) | −6.10270 | − | 14.7904i | −0.381419 | − | 0.924402i | ||||
\(257\) | 9.08137 | + | 1.60129i | 0.566481 | + | 0.0998858i | 0.449551 | − | 0.893254i | \(-0.351584\pi\) |
0.116929 | + | 0.993140i | \(0.462695\pi\) | |||||||
\(258\) | 12.8814 | − | 8.70589i | 0.801964 | − | 0.542005i | ||||
\(259\) | 1.46491 | − | 2.53730i | 0.0910252 | − | 0.157660i | ||||
\(260\) | −3.69541 | + | 5.93818i | −0.229180 | + | 0.368270i | ||||
\(261\) | 1.21002 | − | 3.32449i | 0.0748982 | − | 0.205781i | ||||
\(262\) | −6.31540 | − | 14.1496i | −0.390167 | − | 0.874164i | ||||
\(263\) | −5.04261 | − | 6.00955i | −0.310941 | − | 0.370565i | 0.587829 | − | 0.808985i | \(-0.299983\pi\) |
−0.898770 | + | 0.438420i | \(0.855538\pi\) | |||||||
\(264\) | 12.5435 | − | 5.10823i | 0.772002 | − | 0.314390i | ||||
\(265\) | 10.2636i | 0.630487i | ||||||||
\(266\) | 6.63752 | − | 0.698812i | 0.406972 | − | 0.0428469i | ||||
\(267\) | 8.57748i | 0.524933i | ||||||||
\(268\) | 8.19293 | + | 25.0583i | 0.500463 | + | 1.53068i | ||||
\(269\) | −7.71584 | − | 9.19538i | −0.470443 | − | 0.560652i | 0.477689 | − | 0.878529i | \(-0.341475\pi\) |
−0.948132 | + | 0.317877i | \(0.897030\pi\) | |||||||
\(270\) | 5.41801 | − | 2.41823i | 0.329729 | − | 0.147169i | ||||
\(271\) | 9.12276 | − | 25.0646i | 0.554168 | − | 1.52256i | −0.273799 | − | 0.961787i | \(-0.588280\pi\) |
0.827967 | − | 0.560777i | \(-0.189498\pi\) | |||||||
\(272\) | 17.6569 | + | 7.78364i | 1.07061 | + | 0.471952i | ||||
\(273\) | −3.92673 | + | 6.80130i | −0.237657 | + | 0.411634i | ||||
\(274\) | −9.79529 | − | 14.4933i | −0.591755 | − | 0.875574i | ||||
\(275\) | −13.3339 | − | 2.35113i | −0.804065 | − | 0.141778i | ||||
\(276\) | 11.9144 | + | 0.394119i | 0.717165 | + | 0.0237232i | ||||
\(277\) | 8.66220 | + | 15.0034i | 0.520461 | + | 0.901465i | 0.999717 | + | 0.0237896i | \(0.00757318\pi\) |
−0.479256 | + | 0.877675i | \(0.659093\pi\) | |||||||
\(278\) | 11.8141 | + | 5.74868i | 0.708563 | + | 0.344783i | ||||
\(279\) | 0.208421 | + | 0.174886i | 0.0124778 | + | 0.0104701i | ||||
\(280\) | 0.315571 | − | 2.29126i | 0.0188589 | − | 0.136929i | ||||
\(281\) | −5.38466 | − | 14.7942i | −0.321222 | − | 0.882549i | −0.990249 | − | 0.139311i | \(-0.955511\pi\) |
0.669027 | − | 0.743238i | \(-0.266711\pi\) | |||||||
\(282\) | −13.0095 | − | 13.4470i | −0.774704 | − | 0.800755i | ||||
\(283\) | 3.40324 | − | 0.600082i | 0.202301 | − | 0.0356712i | −0.0715791 | − | 0.997435i | \(-0.522804\pi\) |
0.273880 | + | 0.961764i | \(0.411693\pi\) | |||||||
\(284\) | 4.69334 | − | 0.668412i | 0.278498 | − | 0.0396630i | ||||
\(285\) | 3.44811 | + | 3.83525i | 0.204248 | + | 0.227181i | ||||
\(286\) | 19.9653 | − | 1.41456i | 1.18057 | − | 0.0836448i | ||||
\(287\) | −1.06177 | − | 6.02162i | −0.0626745 | − | 0.355445i | ||||
\(288\) | −1.53157 | + | 2.68116i | −0.0902487 | + | 0.157989i | ||||
\(289\) | −5.89364 | + | 2.14511i | −0.346685 | + | 0.126183i | ||||
\(290\) | 1.90208 | − | 6.65644i | 0.111694 | − | 0.390880i | ||||
\(291\) | 3.52727 | − | 4.20364i | 0.206772 | − | 0.246421i | ||||
\(292\) | −4.64472 | + | 11.5573i | −0.271812 | + | 0.676337i | ||||
\(293\) | 12.9386 | − | 7.47010i | 0.755881 | − | 0.436408i | −0.0719340 | − | 0.997409i | \(-0.522917\pi\) |
0.827815 | + | 0.561001i | \(0.189584\pi\) | |||||||
\(294\) | −1.33778 | + | 12.8417i | −0.0780210 | + | 0.748946i | ||||
\(295\) | 0.140462 | − | 0.796601i | 0.00817802 | − | 0.0463799i | ||||
\(296\) | −5.67375 | + | 5.13708i | −0.329780 | + | 0.298587i | ||||
\(297\) | −14.7044 | − | 8.48957i | −0.853234 | − | 0.492615i | ||||
\(298\) | −1.37787 | − | 0.999149i | −0.0798181 | − | 0.0578791i | ||||
\(299\) | 16.5546 | + | 6.02539i | 0.957378 | + | 0.348457i | ||||
\(300\) | −12.2420 | + | 6.53809i | −0.706791 | + | 0.377477i | ||||
\(301\) | −5.82044 | + | 4.88393i | −0.335485 | + | 0.281505i | ||||
\(302\) | −0.808018 | − | 3.22813i | −0.0464962 | − | 0.185758i | ||||
\(303\) | 1.20333 | 0.0691297 | ||||||||
\(304\) | −17.0652 | − | 3.57499i | −0.978754 | − | 0.205040i | ||||
\(305\) | 4.45518 | 0.255103 | ||||||||
\(306\) | −0.904222 | − | 3.61248i | −0.0516909 | − | 0.206512i | ||||
\(307\) | −2.10257 | + | 1.76426i | −0.120000 | + | 0.100692i | −0.700813 | − | 0.713345i | \(-0.747179\pi\) |
0.580813 | + | 0.814037i | \(0.302735\pi\) | |||||||
\(308\) | −5.83837 | + | 3.11811i | −0.332672 | + | 0.177671i | ||||
\(309\) | −22.1106 | − | 8.04762i | −1.25783 | − | 0.457813i | ||||
\(310\) | 0.431004 | + | 0.312538i | 0.0244794 | + | 0.0177509i | ||||
\(311\) | 17.7003 | + | 10.2193i | 1.00369 | + | 0.579481i | 0.909338 | − | 0.416058i | \(-0.136589\pi\) |
0.0943518 | + | 0.995539i | \(0.469922\pi\) | |||||||
\(312\) | 15.2086 | − | 13.7701i | 0.861020 | − | 0.779578i | ||||
\(313\) | −3.53964 | + | 20.0743i | −0.200072 | + | 1.13467i | 0.704936 | + | 0.709271i | \(0.250976\pi\) |
−0.905008 | + | 0.425395i | \(0.860135\pi\) | |||||||
\(314\) | 0.483727 | − | 4.64343i | 0.0272983 | − | 0.262044i | ||||
\(315\) | −0.386554 | + | 0.223177i | −0.0217798 | + | 0.0125746i | ||||
\(316\) | 10.4221 | − | 25.9330i | 0.586292 | − | 1.45884i | ||||
\(317\) | −18.5300 | + | 22.0832i | −1.04075 | + | 1.24032i | −0.0706777 | + | 0.997499i | \(0.522516\pi\) |
−0.970072 | + | 0.242818i | \(0.921928\pi\) | |||||||
\(318\) | 8.27192 | − | 28.9481i | 0.463866 | − | 1.62333i | ||||
\(319\) | −18.6166 | + | 6.77589i | −1.04233 | + | 0.379377i | ||||
\(320\) | −2.61870 | + | 5.44518i | −0.146390 | + | 0.304395i | ||||
\(321\) | −4.07190 | − | 23.0929i | −0.227272 | − | 1.28892i | ||||
\(322\) | −5.81120 | + | 0.411730i | −0.323846 | + | 0.0229448i | ||||
\(323\) | 17.8408 | − | 11.1297i | 0.992690 | − | 0.619275i | ||||
\(324\) | −13.9879 | + | 1.99212i | −0.777105 | + | 0.110673i | ||||
\(325\) | −20.1983 | + | 3.56151i | −1.12040 | + | 0.197557i | ||||
\(326\) | 0.177401 | + | 0.183366i | 0.00982534 | + | 0.0101557i | ||||
\(327\) | −1.88103 | − | 5.16807i | −0.104021 | − | 0.285795i | ||||
\(328\) | −2.17942 | + | 15.8241i | −0.120338 | + | 0.873739i | ||||
\(329\) | 7.00441 | + | 5.87740i | 0.386166 | + | 0.324032i | ||||
\(330\) | −4.59904 | − | 2.23787i | −0.253169 | − | 0.123191i | ||||
\(331\) | 1.83809 | + | 3.18366i | 0.101030 | + | 0.174990i | 0.912109 | − | 0.409947i | \(-0.134453\pi\) |
−0.811079 | + | 0.584937i | \(0.801119\pi\) | |||||||
\(332\) | 24.7921 | + | 0.820099i | 1.36064 | + | 0.0450088i | ||||
\(333\) | 1.45464 | + | 0.256492i | 0.0797137 | + | 0.0140557i | ||||
\(334\) | 10.3470 | + | 15.3097i | 0.566164 | + | 0.837710i | ||||
\(335\) | 4.97791 | − | 8.62200i | 0.271972 | − | 0.471070i | ||||
\(336\) | −2.73669 | + | 6.20807i | −0.149299 | + | 0.338678i | ||||
\(337\) | 10.2016 | − | 28.0286i | 0.555716 | − | 1.52682i | −0.270074 | − | 0.962840i | \(-0.587048\pi\) |
0.825790 | − | 0.563978i | \(-0.190730\pi\) | |||||||
\(338\) | 10.8984 | − | 4.86428i | 0.592793 | − | 0.264582i | ||||
\(339\) | −4.90496 | − | 5.84551i | −0.266401 | − | 0.317484i | ||||
\(340\) | −2.26454 | − | 6.92617i | −0.122812 | − | 0.375624i | ||||
\(341\) | − | 1.52357i | − | 0.0825059i | ||||||
\(342\) | 1.47557 | + | 3.02402i | 0.0797898 | + | 0.163520i | ||||
\(343\) | − | 13.8886i | − | 0.749914i | ||||||
\(344\) | 18.3831 | − | 7.48633i | 0.991151 | − | 0.403636i | ||||
\(345\) | −2.89368 | − | 3.44855i | −0.155790 | − | 0.185664i | ||||
\(346\) | 0.761129 | + | 1.70530i | 0.0409186 | + | 0.0916776i | ||||
\(347\) | −9.95707 | + | 27.3568i | −0.534524 | + | 1.46859i | 0.319110 | + | 0.947718i | \(0.396616\pi\) |
−0.853634 | + | 0.520874i | \(0.825606\pi\) | |||||||
\(348\) | −10.7295 | + | 17.2413i | −0.575161 | + | 0.924229i | ||||
\(349\) | −9.01897 | + | 15.6213i | −0.482774 | + | 0.836189i | −0.999804 | − | 0.0197778i | \(-0.993704\pi\) |
0.517030 | + | 0.855967i | \(0.327037\pi\) | |||||||
\(350\) | 5.61938 | − | 3.79785i | 0.300369 | − | 0.203003i | ||||
\(351\) | −25.3294 | − | 4.46626i | −1.35198 | − | 0.238391i | ||||
\(352\) | 17.0143 | − | 3.08083i | 0.906866 | − | 0.164209i | ||||
\(353\) | −13.3944 | − | 23.1997i | −0.712910 | − | 1.23480i | −0.963760 | − | 0.266770i | \(-0.914044\pi\) |
0.250850 | − | 0.968026i | \(-0.419290\pi\) | |||||||
\(354\) | −1.03819 | + | 2.13358i | −0.0551790 | + | 0.113398i | ||||
\(355\) | −1.37141 | − | 1.15075i | −0.0727870 | − | 0.0610755i | ||||
\(356\) | −2.25706 | + | 10.7155i | −0.119624 | + | 0.567920i | ||||
\(357\) | −2.79850 | − | 7.68883i | −0.148113 | − | 0.406936i | ||||
\(358\) | 8.45531 | − | 8.18024i | 0.446877 | − | 0.432339i | ||||
\(359\) | 17.0891 | − | 3.01327i | 0.901929 | − | 0.159034i | 0.296593 | − | 0.955004i | \(-0.404150\pi\) |
0.605337 | + | 0.795970i | \(0.293039\pi\) | |||||||
\(360\) | 1.13989 | − | 0.245581i | 0.0600777 | − | 0.0129433i | ||||
\(361\) | −13.6871 | + | 13.1782i | −0.720373 | + | 0.693587i | ||||
\(362\) | 1.43258 | + | 20.2196i | 0.0752947 | + | 1.06272i | ||||
\(363\) | −0.450740 | − | 2.55627i | −0.0236577 | − | 0.134170i | ||||
\(364\) | −6.69519 | + | 7.46332i | −0.350923 | + | 0.391184i | ||||
\(365\) | 4.42002 | − | 1.60876i | 0.231355 | − | 0.0842062i | ||||
\(366\) | −12.5657 | − | 3.59064i | −0.656818 | − | 0.187686i | ||||
\(367\) | −14.8155 | + | 17.6564i | −0.773361 | + | 0.921656i | −0.998613 | − | 0.0526448i | \(-0.983235\pi\) |
0.225252 | + | 0.974300i | \(0.427679\pi\) | |||||||
\(368\) | 14.7805 | + | 3.62749i | 0.770488 | + | 0.189096i | ||||
\(369\) | 2.66965 | − | 1.54133i | 0.138977 | − | 0.0802382i | ||||
\(370\) | 2.87479 | + | 0.299480i | 0.149453 | + | 0.0155692i | ||||
\(371\) | −2.55491 | + | 14.4896i | −0.132644 | + | 0.752263i | ||||
\(372\) | −0.963742 | − | 1.22887i | −0.0499677 | − | 0.0637138i | ||||
\(373\) | 12.3630 | + | 7.13780i | 0.640133 | + | 0.369581i | 0.784666 | − | 0.619919i | \(-0.212835\pi\) |
−0.144533 | + | 0.989500i | \(0.546168\pi\) | |||||||
\(374\) | −12.2418 | + | 16.8820i | −0.633006 | + | 0.872946i | ||||
\(375\) | 10.4841 | + | 3.81589i | 0.541395 | + | 0.197052i | ||||
\(376\) | −12.7138 | − | 20.2220i | −0.655666 | − | 1.04287i | ||||
\(377\) | −22.9893 | + | 19.2904i | −1.18401 | + | 0.993504i | ||||
\(378\) | 8.25083 | − | 2.06523i | 0.424377 | − | 0.106224i | ||||
\(379\) | 3.94639 | 0.202713 | 0.101356 | − | 0.994850i | \(-0.467682\pi\) | ||||
0.101356 | + | 0.994850i | \(0.467682\pi\) | |||||||
\(380\) | 3.29839 | + | 5.69855i | 0.169204 | + | 0.292329i | ||||
\(381\) | 17.2200 | 0.882209 | ||||||||
\(382\) | −4.68855 | + | 1.17357i | −0.239887 | + | 0.0600449i | ||||
\(383\) | 2.54527 | − | 2.13574i | 0.130057 | − | 0.109131i | −0.575439 | − | 0.817845i | \(-0.695169\pi\) |
0.705496 | + | 0.708714i | \(0.250724\pi\) | |||||||
\(384\) | 11.7745 | − | 13.2474i | 0.600863 | − | 0.676029i | ||||
\(385\) | 2.34877 | + | 0.854881i | 0.119704 | + | 0.0435688i | ||||
\(386\) | −16.6229 | + | 22.9237i | −0.846082 | + | 1.16679i | ||||
\(387\) | −3.31738 | − | 1.91529i | −0.168632 | − | 0.0973596i | ||||
\(388\) | 5.51261 | − | 4.32327i | 0.279860 | − | 0.219481i | ||||
\(389\) | 1.28952 | − | 7.31325i | 0.0653814 | − | 0.370797i | −0.934508 | − | 0.355942i | \(-0.884160\pi\) |
0.999890 | − | 0.0148550i | \(-0.00472867\pi\) | |||||||
\(390\) | −7.70596 | − | 0.802764i | −0.390206 | − | 0.0406495i | ||||
\(391\) | −15.8956 | + | 9.17733i | −0.803875 | + | 0.464117i | ||||
\(392\) | −5.05038 | + | 15.6906i | −0.255082 | + | 0.792497i | ||||
\(393\) | 11.0330 | − | 13.1487i | 0.556543 | − | 0.663262i | ||||
\(394\) | 18.9419 | + | 5.41265i | 0.954279 | + | 0.272685i | ||||
\(395\) | −9.91795 | + | 3.60984i | −0.499026 | + | 0.181631i | ||||
\(396\) | −2.48391 | − | 2.22826i | −0.124821 | − | 0.111975i | ||||
\(397\) | 3.75365 | + | 21.2880i | 0.188390 | + | 1.06841i | 0.921522 | + | 0.388327i | \(0.126947\pi\) |
−0.733132 | + | 0.680087i | \(0.761942\pi\) | |||||||
\(398\) | 2.43622 | + | 34.3850i | 0.122117 | + | 1.72357i | ||||
\(399\) | 3.91316 | + | 6.27274i | 0.195903 | + | 0.314030i | ||||
\(400\) | −17.0138 | + | 4.94645i | −0.850691 | + | 0.247322i | ||||
\(401\) | 20.7532 | − | 3.65934i | 1.03636 | − | 0.182739i | 0.370515 | − | 0.928826i | \(-0.379181\pi\) |
0.665848 | + | 0.746088i | \(0.268070\pi\) | |||||||
\(402\) | −20.9889 | + | 20.3061i | −1.04683 | + | 1.01278i | ||||
\(403\) | −0.789354 | − | 2.16873i | −0.0393205 | − | 0.108032i | ||||
\(404\) | 1.50328 | + | 0.316642i | 0.0747908 | + | 0.0157535i | ||||
\(405\) | 4.08731 | + | 3.42966i | 0.203100 | + | 0.170421i | ||||
\(406\) | 4.34225 | − | 8.92375i | 0.215502 | − | 0.442878i | ||||
\(407\) | −4.13569 | − | 7.16323i | −0.204999 | − | 0.355068i | ||||
\(408\) | 0.804928 | + | 21.3601i | 0.0398499 | + | 1.05748i | ||||
\(409\) | −0.265891 | − | 0.0468838i | −0.0131475 | − | 0.00231825i | 0.167071 | − | 0.985945i | \(-0.446569\pi\) |
−0.180218 | + | 0.983627i | \(0.557680\pi\) | |||||||
\(410\) | 4.99776 | − | 3.37772i | 0.246822 | − | 0.166814i | ||||
\(411\) | 9.68879 | − | 16.7815i | 0.477913 | − | 0.827770i | ||||
\(412\) | −25.5043 | − | 15.8717i | −1.25651 | − | 0.781942i | ||||
\(413\) | 0.396595 | − | 1.08964i | 0.0195152 | − | 0.0536174i | ||||
\(414\) | −1.19708 | − | 2.68205i | −0.0588335 | − | 0.131816i | ||||
\(415\) | −6.02128 | − | 7.17589i | −0.295573 | − | 0.352250i | ||||
\(416\) | 22.6230 | − | 13.2005i | 1.10918 | − | 0.647206i | ||||
\(417\) | 14.5540i | 0.712712i | ||||||||
\(418\) | 7.66087 | − | 17.2147i | 0.374706 | − | 0.842001i | ||||
\(419\) | 4.30895i | 0.210506i | 0.994445 | + | 0.105253i | \(0.0335652\pi\) | ||||
−0.994445 | + | 0.105253i | \(0.966435\pi\) | |||||||
\(420\) | 2.43521 | − | 0.796203i | 0.118826 | − | 0.0388507i | ||||
\(421\) | −7.34047 | − | 8.74803i | −0.357753 | − | 0.426353i | 0.556909 | − | 0.830574i | \(-0.311987\pi\) |
−0.914661 | + | 0.404221i | \(0.867543\pi\) | |||||||
\(422\) | −15.0260 | + | 6.70658i | −0.731455 | + | 0.326471i | ||||
\(423\) | −1.57664 | + | 4.33178i | −0.0766588 | + | 0.210618i | ||||
\(424\) | 17.9511 | − | 33.9870i | 0.871781 | − | 1.65055i | ||||
\(425\) | 10.6843 | − | 18.5058i | 0.518266 | − | 0.897663i | ||||
\(426\) | 2.94057 | + | 4.35093i | 0.142471 | + | 0.210803i | ||||
\(427\) | 6.28959 | + | 1.10903i | 0.304375 | + | 0.0536695i | ||||
\(428\) | 0.989744 | − | 29.9205i | 0.0478411 | − | 1.44626i | ||||
\(429\) | 11.0858 | + | 19.2012i | 0.535229 | + | 0.927044i | ||||
\(430\) | −6.74009 | − | 3.27969i | −0.325036 | − | 0.158161i | ||||
\(431\) | 18.5249 | + | 15.5443i | 0.892315 | + | 0.748741i | 0.968673 | − | 0.248339i | \(-0.0798847\pi\) |
−0.0763579 | + | 0.997080i | \(0.524329\pi\) | |||||||
\(432\) | −22.1707 | − | 1.46838i | −1.06669 | − | 0.0706476i | ||||
\(433\) | −0.996702 | − | 2.73842i | −0.0478984 | − | 0.131600i | 0.913437 | − | 0.406981i | \(-0.133418\pi\) |
−0.961335 | + | 0.275381i | \(0.911196\pi\) | |||||||
\(434\) | 0.530670 | + | 0.548514i | 0.0254730 | + | 0.0263295i | ||||
\(435\) | 7.55220 | − | 1.33166i | 0.362100 | − | 0.0638481i | ||||
\(436\) | −0.989975 | − | 6.95123i | −0.0474112 | − | 0.332904i | ||||
\(437\) | 12.3331 | − | 11.0881i | 0.589971 | − | 0.530418i | ||||
\(438\) | −13.7631 | + | 0.975130i | −0.657625 | + | 0.0465935i | ||||
\(439\) | −1.63239 | − | 9.25775i | −0.0779098 | − | 0.441848i | −0.998663 | − | 0.0517018i | \(-0.983535\pi\) |
0.920753 | − | 0.390147i | \(-0.127576\pi\) | |||||||
\(440\) | −5.15652 | − | 4.00585i | −0.245828 | − | 0.190972i | ||||
\(441\) | 2.98922 | − | 1.08799i | 0.142344 | − | 0.0518089i | ||||
\(442\) | −8.67913 | + | 30.3731i | −0.412824 | + | 1.44470i | ||||
\(443\) | 5.87925 | − | 7.00661i | 0.279331 | − | 0.332894i | −0.608077 | − | 0.793878i | \(-0.708059\pi\) |
0.887409 | + | 0.460984i | \(0.152503\pi\) | |||||||
\(444\) | −7.86688 | − | 3.16160i | −0.373345 | − | 0.150043i | ||||
\(445\) | 3.58130 | − | 2.06767i | 0.169770 | − | 0.0980168i | ||||
\(446\) | 2.95647 | − | 28.3800i | 0.139993 | − | 1.34383i | ||||
\(447\) | 0.327392 | − | 1.85673i | 0.0154851 | − | 0.0878204i | ||||
\(448\) | −5.05241 | + | 7.03536i | −0.238704 | + | 0.332390i | ||||
\(449\) | 11.1663 | + | 6.44689i | 0.526973 | + | 0.304248i | 0.739783 | − | 0.672846i | \(-0.234928\pi\) |
−0.212810 | + | 0.977094i | \(0.568262\pi\) | |||||||
\(450\) | 2.76818 | + | 2.00731i | 0.130493 | + | 0.0946256i | ||||
\(451\) | −16.2213 | − | 5.90406i | −0.763830 | − | 0.278011i | ||||
\(452\) | −4.58940 | − | 8.59323i | −0.215867 | − | 0.404192i | ||||
\(453\) | 2.82382 | − | 2.36947i | 0.132675 | − | 0.111327i | ||||
\(454\) | −1.37668 | − | 5.49999i | −0.0646106 | − | 0.258127i | ||||
\(455\) | 3.78628 | 0.177503 | ||||||||
\(456\) | −4.71024 | − | 18.7309i | −0.220577 | − | 0.877153i | ||||
\(457\) | 24.3871 | 1.14078 | 0.570390 | − | 0.821374i | \(-0.306792\pi\) | ||||
0.570390 | + | 0.821374i | \(0.306792\pi\) | |||||||
\(458\) | −7.40312 | − | 29.5764i | −0.345925 | − | 1.38201i | ||||
\(459\) | 20.5277 | − | 17.2248i | 0.958151 | − | 0.803985i | ||||
\(460\) | −2.70751 | − | 5.06957i | −0.126238 | − | 0.236370i | ||||
\(461\) | −17.8483 | − | 6.49625i | −0.831278 | − | 0.302561i | −0.108895 | − | 0.994053i | \(-0.534731\pi\) |
−0.722383 | + | 0.691493i | \(0.756953\pi\) | |||||||
\(462\) | −5.93562 | − | 4.30414i | −0.276150 | − | 0.200247i | ||||
\(463\) | 34.9271 | + | 20.1652i | 1.62320 | + | 0.937155i | 0.986057 | + | 0.166409i | \(0.0532171\pi\) |
0.637143 | + | 0.770746i | \(0.280116\pi\) | |||||||
\(464\) | −17.9407 | + | 18.7155i | −0.832878 | + | 0.868845i | ||||
\(465\) | −0.102409 | + | 0.580793i | −0.00474913 | + | 0.0269336i | ||||
\(466\) | −0.134502 | + | 1.29112i | −0.00623068 | + | 0.0598101i | ||||
\(467\) | −22.7989 | + | 13.1630i | −1.05501 | + | 0.609109i | −0.924047 | − | 0.382278i | \(-0.875140\pi\) |
−0.130961 | + | 0.991388i | \(0.541806\pi\) | |||||||
\(468\) | −4.69019 | − | 1.88493i | −0.216804 | − | 0.0871310i | ||||
\(469\) | 9.17383 | − | 10.9329i | 0.423608 | − | 0.504837i | ||||
\(470\) | −2.47839 | + | 8.67327i | −0.114320 | + | 0.400068i | ||||
\(471\) | 4.85965 | − | 1.76877i | 0.223921 | − | 0.0815005i | ||||
\(472\) | −1.85839 | + | 2.39220i | −0.0855392 | + | 0.110110i | ||||
\(473\) | 3.72485 | + | 21.1247i | 0.171269 | + | 0.971314i | ||||
\(474\) | 30.8825 | − | 2.18806i | 1.41848 | − | 0.100501i | ||||
\(475\) | −5.98017 | + | 18.3586i | −0.274389 | + | 0.842350i | ||||
\(476\) | −1.47284 | − | 10.3417i | −0.0675075 | − | 0.474012i | ||||
\(477\) | −7.30498 | + | 1.28807i | −0.334472 | + | 0.0589765i | ||||
\(478\) | 13.3216 | + | 13.7695i | 0.609314 | + | 0.629803i | ||||
\(479\) | −8.12858 | − | 22.3331i | −0.371404 | − | 1.02042i | −0.974819 | − | 0.222997i | \(-0.928416\pi\) |
0.603415 | − | 0.797428i | \(-0.293806\pi\) | |||||||
\(480\) | −6.69303 | + | 0.0307804i | −0.305494 | + | 0.00140493i | ||||
\(481\) | −9.59822 | − | 8.05386i | −0.437641 | − | 0.367224i | ||||
\(482\) | −15.3955 | − | 7.49139i | −0.701248 | − | 0.341223i | ||||
\(483\) | −3.22670 | − | 5.58881i | −0.146820 | − | 0.254300i | ||||
\(484\) | 0.109560 | − | 3.31205i | 0.00497999 | − | 0.150548i | ||||
\(485\) | −2.60539 | − | 0.459401i | −0.118305 | − | 0.0208603i | ||||
\(486\) | 4.43256 | + | 6.55853i | 0.201065 | + | 0.297501i | ||||
\(487\) | 0.348135 | − | 0.602987i | 0.0157755 | − | 0.0273240i | −0.858030 | − | 0.513600i | \(-0.828312\pi\) |
0.873805 | + | 0.486276i | \(0.161645\pi\) | |||||||
\(488\) | −14.7529 | − | 7.79213i | −0.667834 | − | 0.352733i | ||||
\(489\) | −0.0966628 | + | 0.265579i | −0.00437124 | + | 0.0120099i | ||||
\(490\) | 5.68422 | − | 2.53704i | 0.256787 | − | 0.114612i | ||||
\(491\) | −20.8082 | − | 24.7982i | −0.939061 | − | 1.11913i | −0.992705 | − | 0.120569i | \(-0.961528\pi\) |
0.0536445 | − | 0.998560i | \(-0.482916\pi\) | |||||||
\(492\) | −16.8183 | + | 5.49881i | −0.758226 | + | 0.247905i | ||||
\(493\) | − | 31.2669i | − | 1.40819i | ||||||
\(494\) | 1.98603 | − | 28.4735i | 0.0893557 | − | 1.28108i | ||||
\(495\) | 1.26013i | 0.0566388i | ||||||||
\(496\) | −0.880603 | − | 1.78877i | −0.0395402 | − | 0.0803182i | ||||
\(497\) | −1.64963 | − | 1.96596i | −0.0739962 | − | 0.0881852i | ||||
\(498\) | 11.1994 | + | 25.0922i | 0.501858 | + | 1.12441i | ||||
\(499\) | 10.2442 | − | 28.1458i | 0.458595 | − | 1.25998i | −0.467936 | − | 0.883762i | \(-0.655002\pi\) |
0.926531 | − | 0.376218i | \(-0.122776\pi\) | |||||||
\(500\) | 12.0932 | + | 7.52579i | 0.540825 | + | 0.336564i | ||||
\(501\) | −10.2345 | + | 17.7267i | −0.457245 | + | 0.791972i | ||||
\(502\) | −21.8968 | + | 14.7989i | −0.977302 | + | 0.660507i | ||||
\(503\) | −14.2238 | − | 2.50804i | −0.634208 | − | 0.111828i | −0.152704 | − | 0.988272i | \(-0.548798\pi\) |
−0.481504 | + | 0.876444i | \(0.659909\pi\) | |||||||
\(504\) | 1.67038 | − | 0.0629460i | 0.0744045 | − | 0.00280384i | ||||
\(505\) | −0.290073 | − | 0.502421i | −0.0129081 | − | 0.0223574i | ||||
\(506\) | −7.19635 | + | 14.7892i | −0.319917 | + | 0.657460i | ||||
\(507\) | 10.1274 | + | 8.49792i | 0.449775 | + | 0.377406i | ||||
\(508\) | 21.5123 | + | 4.53123i | 0.954453 | + | 0.201041i | ||||
\(509\) | 14.4187 | + | 39.6151i | 0.639098 | + | 1.75591i | 0.654542 | + | 0.756026i | \(0.272862\pi\) |
−0.0154441 | + | 0.999881i | \(0.504916\pi\) | |||||||
\(510\) | 5.80138 | − | 5.61265i | 0.256889 | − | 0.248532i | ||||
\(511\) | 6.64043 | − | 1.17089i | 0.293755 | − | 0.0517970i | ||||
\(512\) | 18.1952 | − | 13.4511i | 0.804124 | − | 0.594462i | ||||
\(513\) | −14.9212 | + | 19.0690i | −0.658786 | + | 0.841915i | ||||
\(514\) | 0.921668 | + | 13.0085i | 0.0406530 | + | 0.573781i | ||||
\(515\) | 1.96987 | + | 11.1717i | 0.0868027 | + | 0.492282i | ||||
\(516\) | 16.3669 | + | 14.6824i | 0.720513 | + | 0.646357i | ||||
\(517\) | 24.2572 | − | 8.82890i | 1.06683 | − | 0.388295i | ||||
\(518\) | 3.98394 | + | 1.13841i | 0.175044 | + | 0.0500189i | ||||
\(519\) | −1.32970 | + | 1.58467i | −0.0583672 | + | 0.0695593i | ||||
\(520\) | −9.41550 | − | 3.03058i | −0.412897 | − | 0.132900i | ||||
\(521\) | 8.57677 | − | 4.95180i | 0.375755 | − | 0.216942i | −0.300215 | − | 0.953872i | \(-0.597058\pi\) |
0.675970 | + | 0.736929i | \(0.263725\pi\) | |||||||
\(522\) | 4.97635 | + | 0.518408i | 0.217809 | + | 0.0226901i | ||||
\(523\) | −0.677373 | + | 3.84158i | −0.0296195 | + | 0.167980i | −0.996029 | − | 0.0890253i | \(-0.971625\pi\) |
0.966410 | + | 0.257006i | \(0.0827359\pi\) | |||||||
\(524\) | 17.2430 | − | 13.5229i | 0.753265 | − | 0.590750i | ||||
\(525\) | 6.50655 | + | 3.75656i | 0.283969 | + | 0.163950i | ||||
\(526\) | 6.51285 | − | 8.98153i | 0.283974 | − | 0.391614i | ||||
\(527\) | 2.25953 | + | 0.822403i | 0.0984269 | + | 0.0358244i | ||||
\(528\) | 11.3153 | + | 15.4542i | 0.492434 | + | 0.672560i | ||||
\(529\) | 6.52945 | − | 5.47886i | 0.283889 | − | 0.238211i | ||||
\(530\) | −14.0805 | + | 3.52443i | −0.611619 | + | 0.153091i | ||||
\(531\) | 0.584598 | 0.0253694 | ||||||||
\(532\) | 3.23796 | + | 8.86598i | 0.140383 | + | 0.384389i | ||||
\(533\) | −26.1491 | −1.13264 | ||||||||
\(534\) | −11.7674 | + | 2.94543i | −0.509224 | + | 0.127461i | ||||
\(535\) | −8.66028 | + | 7.26684i | −0.374417 | + | 0.314173i | ||||
\(536\) | −31.5638 | + | 19.8446i | −1.36335 | + | 0.857156i | ||||
\(537\) | 12.2463 | + | 4.45727i | 0.528465 | + | 0.192346i | ||||
\(538\) | 9.96550 | − | 13.7429i | 0.429643 | − | 0.592498i | ||||
\(539\) | −15.4268 | − | 8.90670i | −0.664481 | − | 0.383639i | ||||
\(540\) | 5.17804 | + | 6.60251i | 0.222827 | + | 0.284127i | ||||
\(541\) | 4.35056 | − | 24.6733i | 0.187045 | − | 1.06079i | −0.736254 | − | 0.676705i | \(-0.763407\pi\) |
0.923299 | − | 0.384081i | \(-0.125482\pi\) | |||||||
\(542\) | 37.5185 | + | 3.90847i | 1.61156 | + | 0.167883i | ||||
\(543\) | −19.4458 | + | 11.2270i | −0.834499 | + | 0.481798i | ||||
\(544\) | −4.61508 | + | 26.8961i | −0.197870 | + | 1.15316i | ||||
\(545\) | −1.70436 | + | 2.03118i | −0.0730067 | + | 0.0870060i | ||||
\(546\) | −10.6790 | − | 3.05154i | −0.457021 | − | 0.130594i | ||||
\(547\) | −15.2865 | + | 5.56383i | −0.653604 | + | 0.237892i | −0.647472 | − | 0.762089i | \(-0.724174\pi\) |
−0.00613128 | + | 0.999981i | \(0.501952\pi\) | |||||||
\(548\) | 16.5196 | − | 18.4149i | 0.705684 | − | 0.786647i | ||||
\(549\) | 0.559118 | + | 3.17092i | 0.0238626 | + | 0.135331i | ||||
\(550\) | −1.35326 | − | 19.1000i | −0.0577031 | − | 0.814428i | ||||
\(551\) | 5.85333 | + | 27.6388i | 0.249360 | + | 1.17745i | ||||
\(552\) | 3.55063 | + | 16.4806i | 0.151125 | + | 0.701463i | ||||
\(553\) | −14.9003 | + | 2.62732i | −0.633623 | + | 0.111725i | ||||
\(554\) | −17.6084 | + | 17.0356i | −0.748111 | + | 0.723773i | ||||
\(555\) | 1.09506 | + | 3.00865i | 0.0464827 | + | 0.127710i | ||||
\(556\) | −3.82970 | + | 18.1817i | −0.162415 | + | 0.771076i | ||||
\(557\) | −16.5072 | − | 13.8512i | −0.699432 | − | 0.586893i | 0.222180 | − | 0.975006i | \(-0.428683\pi\) |
−0.921612 | + | 0.388112i | \(0.873127\pi\) | |||||||
\(558\) | −0.168354 | + | 0.345985i | −0.00712701 | + | 0.0146467i | ||||
\(559\) | 16.2468 | + | 28.1402i | 0.687165 | + | 1.19021i | ||||
\(560\) | 3.25172 | − | 0.353869i | 0.137410 | − | 0.0149537i | ||||
\(561\) | −22.7490 | − | 4.01127i | −0.960465 | − | 0.169356i | ||||
\(562\) | 18.4470 | − | 12.4674i | 0.778140 | − | 0.525904i | ||||
\(563\) | 5.48942 | − | 9.50796i | 0.231352 | − | 0.400713i | −0.726855 | − | 0.686791i | \(-0.759019\pi\) |
0.958206 | + | 0.286079i | \(0.0923519\pi\) | |||||||
\(564\) | 13.9804 | − | 22.4652i | 0.588681 | − | 0.945954i | ||||
\(565\) | −1.25826 | + | 3.45704i | −0.0529354 | + | 0.145439i | ||||
\(566\) | 1.99189 | + | 4.46280i | 0.0837253 | + | 0.187586i | ||||
\(567\) | 4.91652 | + | 5.85928i | 0.206474 | + | 0.246066i | ||||
\(568\) | 2.52864 | + | 6.20922i | 0.106099 | + | 0.260533i | ||||
\(569\) | − | 0.529264i | − | 0.0221879i | −0.999938 | − | 0.0110940i | \(-0.996469\pi\) | ||
0.999938 | − | 0.0110940i | \(-0.00353139\pi\) | |||||||
\(570\) | −4.07749 | + | 6.04742i | −0.170787 | + | 0.253299i | ||||
\(571\) | − | 42.0314i | − | 1.75896i | −0.475935 | − | 0.879480i | \(-0.657890\pi\) | ||
0.475935 | − | 0.879480i | \(-0.342110\pi\) | |||||||
\(572\) | 8.79652 | + | 26.9044i | 0.367801 | + | 1.12493i | ||||
\(573\) | −3.44142 | − | 4.10132i | −0.143767 | − | 0.171335i | ||||
\(574\) | 7.89640 | − | 3.52441i | 0.329589 | − | 0.147106i | ||||
\(575\) | 5.76426 | − | 15.8372i | 0.240386 | − | 0.660456i | ||||
\(576\) | −4.20419 | − | 1.18046i | −0.175174 | − | 0.0491859i | ||||
\(577\) | 6.38905 | − | 11.0662i | 0.265980 | − | 0.460691i | −0.701840 | − | 0.712335i | \(-0.747638\pi\) |
0.967820 | + | 0.251644i | \(0.0809712\pi\) | |||||||
\(578\) | −4.96668 | − | 7.34882i | −0.206587 | − | 0.305670i | ||||
\(579\) | −30.8905 | − | 5.44683i | −1.28377 | − | 0.226363i | ||||
\(580\) | 9.78507 | + | 0.323681i | 0.406303 | + | 0.0134401i | ||||
\(581\) | −6.71425 | − | 11.6294i | −0.278554 | − | 0.482470i | ||||
\(582\) | 6.97816 | + | 3.39553i | 0.289254 | + | 0.140749i | ||||
\(583\) | 31.8197 | + | 26.6999i | 1.31784 | + | 1.10580i | ||||
\(584\) | −17.4502 | − | 2.40339i | −0.722096 | − | 0.0994530i | ||||
\(585\) | 0.652869 | + | 1.79374i | 0.0269928 | + | 0.0741622i | ||||
\(586\) | 14.6912 | + | 15.1852i | 0.606886 | + | 0.627293i | ||||
\(587\) | −20.8963 | + | 3.68458i | −0.862483 | + | 0.152079i | −0.587356 | − | 0.809329i | \(-0.699831\pi\) |
−0.275127 | + | 0.961408i | \(0.588720\pi\) | |||||||
\(588\) | −18.0768 | + | 2.57445i | −0.745476 | + | 0.106169i | ||||
\(589\) | −2.15130 | − | 0.303978i | −0.0886429 | − | 0.0125252i | ||||
\(590\) | 1.14108 | − | 0.0808470i | 0.0469776 | − | 0.00332842i | ||||
\(591\) | 3.78943 | + | 21.4909i | 0.155876 | + | 0.884018i | ||||
\(592\) | −8.99583 | − | 6.01973i | −0.369726 | − | 0.247409i | ||||
\(593\) | −33.1969 | + | 12.0827i | −1.36323 | + | 0.496176i | −0.917052 | − | 0.398767i | \(-0.869438\pi\) |
−0.446180 | + | 0.894943i | \(0.647216\pi\) | |||||||
\(594\) | 6.59740 | − | 23.0880i | 0.270695 | − | 0.947312i | ||||
\(595\) | −2.53567 | + | 3.02189i | −0.103952 | + | 0.123886i | ||||
\(596\) | 0.897573 | − | 2.23339i | 0.0367660 | − | 0.0914832i | ||||
\(597\) | −33.0692 | + | 19.0925i | −1.35343 | + | 0.781404i | ||||
\(598\) | −2.58146 | + | 24.7802i | −0.105564 | + | 1.01334i | ||||
\(599\) | −5.24954 | + | 29.7716i | −0.214490 | + | 1.21644i | 0.667298 | + | 0.744791i | \(0.267451\pi\) |
−0.881789 | + | 0.471645i | \(0.843660\pi\) | |||||||
\(600\) | −13.1733 | − | 14.5495i | −0.537799 | − | 0.593982i | ||||
\(601\) | −30.8900 | − | 17.8343i | −1.26003 | − | 0.727478i | −0.286949 | − | 0.957946i | \(-0.592641\pi\) |
−0.973080 | + | 0.230468i | \(0.925974\pi\) | |||||||
\(602\) | −8.69890 | − | 6.30791i | −0.354541 | − | 0.257091i | ||||
\(603\) | 6.76132 | + | 2.46092i | 0.275342 | + | 0.100216i | ||||
\(604\) | 4.15118 | − | 2.21702i | 0.168909 | − | 0.0902094i | ||||
\(605\) | −0.958651 | + | 0.804404i | −0.0389747 | + | 0.0327037i | ||||
\(606\) | 0.413214 | + | 1.65084i | 0.0167857 | + | 0.0670609i | ||||
\(607\) | −3.61581 | −0.146761 | −0.0733806 | − | 0.997304i | \(-0.523379\pi\) | ||||
−0.0733806 | + | 0.997304i | \(0.523379\pi\) | |||||||
\(608\) | −0.955529 | − | 24.6391i | −0.0387518 | − | 0.999249i | ||||
\(609\) | 10.9933 | 0.445471 | ||||||||
\(610\) | 1.52987 | + | 6.11201i | 0.0619426 | + | 0.247468i | ||||
\(611\) | 29.9548 | − | 25.1351i | 1.21184 | − | 1.01686i | ||||
\(612\) | 4.64542 | − | 2.48099i | 0.187780 | − | 0.100288i | ||||
\(613\) | −1.15127 | − | 0.419027i | −0.0464992 | − | 0.0169243i | 0.318666 | − | 0.947867i | \(-0.396765\pi\) |
−0.365165 | + | 0.930943i | \(0.618987\pi\) | |||||||
\(614\) | −3.14238 | − | 2.27866i | −0.126816 | − | 0.0919592i | ||||
\(615\) | 5.78679 | + | 3.34100i | 0.233346 | + | 0.134722i | ||||
\(616\) | −6.28254 | − | 6.93887i | −0.253131 | − | 0.279575i | ||||
\(617\) | −3.68259 | + | 20.8850i | −0.148256 | + | 0.840799i | 0.816440 | + | 0.577431i | \(0.195945\pi\) |
−0.964695 | + | 0.263368i | \(0.915167\pi\) | |||||||
\(618\) | 3.44785 | − | 33.0969i | 0.138693 | − | 1.33135i | ||||
\(619\) | 9.34154 | − | 5.39334i | 0.375468 | − | 0.216777i | −0.300376 | − | 0.953821i | \(-0.597112\pi\) |
0.675845 | + | 0.737044i | \(0.263779\pi\) | |||||||
\(620\) | −0.280764 | + | 0.698613i | −0.0112758 | + | 0.0280570i | ||||
\(621\) | 13.5853 | − | 16.1903i | 0.545159 | − | 0.649695i | ||||
\(622\) | −7.94158 | + | 27.7920i | −0.318428 | + | 1.11436i | ||||
\(623\) | 5.57061 | − | 2.02754i | 0.223182 | − | 0.0812315i | ||||
\(624\) | 24.1136 | + | 16.1360i | 0.965315 | + | 0.645959i | ||||
\(625\) | 2.91189 | + | 16.5142i | 0.116476 | + | 0.660567i | ||||
\(626\) | −28.7552 | + | 2.03734i | −1.14929 | + | 0.0814285i | ||||
\(627\) | 20.8602 | − | 0.712919i | 0.833077 | − | 0.0284712i | ||||
\(628\) | 6.53639 | − | 0.930894i | 0.260830 | − | 0.0371467i | ||||
\(629\) | 12.8559 | − | 2.26683i | 0.512596 | − | 0.0903846i | ||||
\(630\) | −0.438914 | − | 0.453673i | −0.0174867 | − | 0.0180747i | ||||
\(631\) | −7.69640 | − | 21.1457i | −0.306389 | − | 0.841796i | −0.993353 | − | 0.115105i | \(-0.963279\pi\) |
0.686965 | − | 0.726691i | \(-0.258943\pi\) | |||||||
\(632\) | 39.1561 | + | 5.39289i | 1.55754 | + | 0.214518i | ||||
\(633\) | −13.9631 | − | 11.7164i | −0.554983 | − | 0.465686i | ||||
\(634\) | −36.6588 | − | 17.8380i | −1.45591 | − | 0.708436i | ||||
\(635\) | −4.15102 | − | 7.18978i | −0.164728 | − | 0.285318i | ||||
\(636\) | 42.5541 | + | 1.40765i | 1.68738 | + | 0.0558170i | ||||
\(637\) | −26.5740 | − | 4.68571i | −1.05290 | − | 0.185654i | ||||
\(638\) | −15.6885 | − | 23.2131i | −0.621115 | − | 0.919017i | ||||
\(639\) | 0.646923 | − | 1.12050i | 0.0255919 | − | 0.0443264i | ||||
\(640\) | −8.36943 | − | 1.72273i | −0.330831 | − | 0.0680970i | ||||
\(641\) | −13.3995 | + | 36.8148i | −0.529248 | + | 1.45410i | 0.330710 | + | 0.943732i | \(0.392712\pi\) |
−0.859958 | + | 0.510364i | \(0.829511\pi\) | |||||||
\(642\) | 30.2827 | − | 13.5161i | 1.19516 | − | 0.533438i | ||||
\(643\) | 12.1261 | + | 14.4513i | 0.478207 | + | 0.569905i | 0.950177 | − | 0.311709i | \(-0.100902\pi\) |
−0.471970 | + | 0.881614i | \(0.656457\pi\) | |||||||
\(644\) | −2.56036 | − | 7.83094i | −0.100892 | − | 0.308582i | ||||
\(645\) | − | 8.30322i | − | 0.326939i | ||||||
\(646\) | 21.3952 | + | 20.6538i | 0.841781 | + | 0.812612i | ||||
\(647\) | − | 20.3440i | − | 0.799806i | −0.916557 | − | 0.399903i | \(-0.869044\pi\) | ||
0.916557 | − | 0.399903i | \(-0.130956\pi\) | |||||||
\(648\) | −7.53628 | − | 18.5058i | −0.296053 | − | 0.726975i | ||||
\(649\) | −2.10426 | − | 2.50776i | −0.0825995 | − | 0.0984383i | ||||
\(650\) | −11.8219 | − | 26.4869i | −0.463695 | − | 1.03890i | ||||
\(651\) | −0.289153 | + | 0.794441i | −0.0113328 | + | 0.0311366i | ||||
\(652\) | −0.190641 | + | 0.306341i | −0.00746606 | + | 0.0119972i | ||||
\(653\) | 11.1928 | − | 19.3865i | 0.438008 | − | 0.758651i | −0.559528 | − | 0.828811i | \(-0.689018\pi\) |
0.997536 | + | 0.0701600i | \(0.0223510\pi\) | |||||||
\(654\) | 6.44410 | − | 4.35523i | 0.251984 | − | 0.170303i | ||||
\(655\) | −8.14948 | − | 1.43697i | −0.318426 | − | 0.0561472i | ||||
\(656\) | −22.4573 | + | 2.44393i | −0.876810 | + | 0.0954193i | ||||
\(657\) | 1.69972 | + | 2.94400i | 0.0663124 | + | 0.114856i | ||||
\(658\) | −5.65790 | + | 11.6275i | −0.220568 | + | 0.453289i | ||||
\(659\) | −10.9733 | − | 9.20773i | −0.427461 | − | 0.358682i | 0.403532 | − | 0.914966i | \(-0.367782\pi\) |
−0.830993 | + | 0.556283i | \(0.812227\pi\) | |||||||
\(660\) | 1.49084 | − | 7.07784i | 0.0580308 | − | 0.275505i | ||||
\(661\) | 5.54631 | + | 15.2384i | 0.215726 | + | 0.592703i | 0.999602 | − | 0.0282147i | \(-0.00898221\pi\) |
−0.783876 | + | 0.620918i | \(0.786760\pi\) | |||||||
\(662\) | −3.73645 | + | 3.61490i | −0.145221 | + | 0.140497i | ||||
\(663\) | −34.4605 | + | 6.07631i | −1.33833 | + | 0.235984i | ||||
\(664\) | 7.38829 | + | 34.2936i | 0.286721 | + | 1.33085i | ||||
\(665\) | 1.67572 | − | 3.14593i | 0.0649818 | − | 0.121994i | ||||
\(666\) | 0.147631 | + | 2.08368i | 0.00572059 | + | 0.0807410i | ||||
\(667\) | −4.28223 | − | 24.2858i | −0.165809 | − | 0.940348i | ||||
\(668\) | −17.4502 | + | 19.4522i | −0.675167 | + | 0.752628i | ||||
\(669\) | 29.7015 | − | 10.8105i | 1.14833 | − | 0.417956i | ||||
\(670\) | 13.5378 | + | 3.86843i | 0.523011 | + | 0.149451i | ||||
\(671\) | 11.5898 | − | 13.8122i | 0.447419 | − | 0.533213i | ||||
\(672\) | −9.45655 | − | 1.62264i | −0.364794 | − | 0.0625947i | ||||
\(673\) | 24.7321 | − | 14.2791i | 0.953352 | − | 0.550418i | 0.0592314 | − | 0.998244i | \(-0.481135\pi\) |
0.894121 | + | 0.447826i | \(0.147802\pi\) | |||||||
\(674\) | 41.9554 | + | 4.37067i | 1.61606 | + | 0.168352i | ||||
\(675\) | −4.27270 | + | 24.2317i | −0.164456 | + | 0.932678i | ||||
\(676\) | 10.4157 | + | 13.2810i | 0.400603 | + | 0.510808i | ||||
\(677\) | 8.84921 | + | 5.10909i | 0.340103 | + | 0.196358i | 0.660318 | − | 0.750987i | \(-0.270422\pi\) |
−0.320215 | + | 0.947345i | \(0.603755\pi\) | |||||||
\(678\) | 6.33507 | − | 8.73637i | 0.243297 | − | 0.335518i | ||||
\(679\) | −3.56380 | − | 1.29712i | −0.136766 | − | 0.0497788i | ||||
\(680\) | 8.72432 | − | 5.48509i | 0.334563 | − | 0.210344i | ||||
\(681\) | 4.81113 | − | 4.03702i | 0.184363 | − | 0.154699i | ||||
\(682\) | 2.09017 | − | 0.523180i | 0.0800367 | − | 0.0200336i | ||||
\(683\) | −40.4675 | −1.54844 | −0.774222 | − | 0.632914i | \(-0.781859\pi\) | ||||
−0.774222 | + | 0.632914i | \(0.781859\pi\) | |||||||
\(684\) | −3.64193 | + | 3.06275i | −0.139253 | + | 0.117107i | ||||
\(685\) | −9.34223 | −0.356948 | ||||||||
\(686\) | 19.0536 | − | 4.76922i | 0.727471 | − | 0.182090i | ||||
\(687\) | 25.8720 | − | 21.7092i | 0.987079 | − | 0.828258i | ||||
\(688\) | 16.5830 | + | 22.6489i | 0.632222 | + | 0.863480i | ||||
\(689\) | 59.1271 | + | 21.5205i | 2.25256 | + | 0.819865i | ||||
\(690\) | 3.73737 | − | 5.15401i | 0.142279 | − | 0.196210i | ||||
\(691\) | 12.7642 | + | 7.36940i | 0.485572 | + | 0.280345i | 0.722736 | − | 0.691124i | \(-0.242884\pi\) |
−0.237163 | + | 0.971470i | \(0.576218\pi\) | |||||||
\(692\) | −2.07812 | + | 1.62977i | −0.0789983 | + | 0.0619546i | ||||
\(693\) | −0.313684 | + | 1.77899i | −0.0119159 | + | 0.0675783i | ||||
\(694\) | −40.9497 | − | 4.26591i | −1.55443 | − | 0.161932i | ||||
\(695\) | 6.07664 | − | 3.50835i | 0.230500 | − | 0.133079i | ||||
\(696\) | −27.3375 | − | 8.79918i | −1.03623 | − | 0.333532i | ||||
\(697\) | 17.5121 | − | 20.8701i | 0.663317 | − | 0.790510i | ||||
\(698\) | −24.5277 | − | 7.00881i | −0.928389 | − | 0.265287i | ||||
\(699\) | −1.35124 | + | 0.491812i | −0.0511087 | + | 0.0186020i | ||||
\(700\) | 7.13988 | + | 6.40503i | 0.269862 | + | 0.242087i | ||||
\(701\) | −3.61494 | − | 20.5013i | −0.136534 | − | 0.774325i | −0.973779 | − | 0.227496i | \(-0.926946\pi\) |
0.837244 | − | 0.546829i | \(-0.184165\pi\) | |||||||
\(702\) | −2.57068 | − | 36.2828i | −0.0970241 | − | 1.36941i | ||||
\(703\) | −10.9397 | + | 4.41047i | −0.412600 | + | 0.166344i | ||||
\(704\) | 10.0691 | + | 22.2838i | 0.379494 | + | 0.839853i | ||||
\(705\) | −9.84043 | + | 1.73513i | −0.370612 | + | 0.0653489i | ||||
\(706\) | 27.2279 | − | 26.3422i | 1.02474 | − | 0.991400i | ||||
\(707\) | −0.284443 | − | 0.781500i | −0.0106976 | − | 0.0293913i | ||||
\(708\) | −3.28354 | − | 0.691627i | −0.123403 | − | 0.0259929i | ||||
\(709\) | 21.7284 | + | 18.2323i | 0.816027 | + | 0.684728i | 0.952038 | − | 0.305979i | \(-0.0989838\pi\) |
−0.136011 | + | 0.990707i | \(0.543428\pi\) | |||||||
\(710\) | 1.10777 | − | 2.27658i | 0.0415740 | − | 0.0854387i | ||||
\(711\) | −3.81395 | − | 6.60595i | −0.143034 | − | 0.247742i | ||||
\(712\) | −15.4755 | + | 0.583176i | −0.579970 | + | 0.0218554i | ||||
\(713\) | 1.86767 | + | 0.329320i | 0.0699446 | + | 0.0123331i | ||||
\(714\) | 9.58725 | − | 6.47952i | 0.358794 | − | 0.242490i | ||||
\(715\) | 5.34465 | − | 9.25721i | 0.199879 | − | 0.346200i | ||||
\(716\) | 14.1259 | + | 8.79073i | 0.527909 | + | 0.328525i | ||||
\(717\) | −7.25868 | + | 19.9431i | −0.271081 | + | 0.744788i | ||||
\(718\) | 10.0021 | + | 22.4097i | 0.373276 | + | 0.836321i | ||||
\(719\) | 31.1096 | + | 37.0750i | 1.16019 | + | 1.38266i | 0.910073 | + | 0.414448i | \(0.136025\pi\) |
0.250119 | + | 0.968215i | \(0.419530\pi\) | |||||||
\(720\) | 0.728341 | + | 1.47948i | 0.0271436 | + | 0.0551369i | ||||
\(721\) | 16.2619i | 0.605626i | ||||||||
\(722\) | −22.7790 | − | 14.2519i | −0.847747 | − | 0.530401i | ||||
\(723\) | − | 18.9660i | − | 0.705354i | ||||||
\(724\) | −27.2471 | + | 8.90856i | −1.01263 | + | 0.331084i | ||||
\(725\) | 18.4543 | + | 21.9930i | 0.685377 | + | 0.816801i | ||||
\(726\) | 3.35215 | − | 1.49617i | 0.124410 | − | 0.0555280i | ||||
\(727\) | 11.1784 | − | 30.7123i | 0.414582 | − | 1.13906i | −0.540145 | − | 0.841572i | \(-0.681631\pi\) |
0.954727 | − | 0.297483i | \(-0.0961472\pi\) | |||||||
\(728\) | −12.5379 | − | 6.62222i | −0.464686 | − | 0.245436i | ||||
\(729\) | −14.9811 | + | 25.9481i | −0.554857 | + | 0.961041i | ||||
\(730\) | 3.72483 | + | 5.51135i | 0.137862 | + | 0.203984i | ||||
\(731\) | −33.3397 | − | 5.87868i | −1.23311 | − | 0.217431i | ||||
\(732\) | 0.611027 | − | 18.4717i | 0.0225842 | − | 0.682734i | ||||
\(733\) | −17.3930 | − | 30.1256i | −0.642427 | − | 1.11272i | −0.984889 | − | 0.173184i | \(-0.944594\pi\) |
0.342463 | − | 0.939531i | \(-0.388739\pi\) | |||||||
\(734\) | −29.3101 | − | 14.2621i | −1.08186 | − | 0.526425i | ||||
\(735\) | 5.28212 | + | 4.43223i | 0.194834 | + | 0.163485i | ||||
\(736\) | 0.0989812 | + | 21.5229i | 0.00364850 | + | 0.793345i | ||||
\(737\) | −13.7807 | − | 37.8622i | −0.507619 | − | 1.39467i | ||||
\(738\) | 3.03126 | + | 3.13319i | 0.111582 | + | 0.115334i | ||||
\(739\) | 11.2136 | − | 1.97726i | 0.412499 | − | 0.0727346i | 0.0364520 | − | 0.999335i | \(-0.488394\pi\) |
0.376047 | + | 0.926601i | \(0.377283\pi\) | |||||||
\(740\) | 0.576325 | + | 4.04674i | 0.0211861 | + | 0.148761i | ||||
\(741\) | 29.3242 | − | 11.8224i | 1.07725 | − | 0.434307i | ||||
\(742\) | −20.7555 | + | 1.47055i | −0.761958 | + | 0.0539856i | ||||
\(743\) | 1.31475 | + | 7.45634i | 0.0482337 | + | 0.273547i | 0.999381 | − | 0.0351919i | \(-0.0112043\pi\) |
−0.951147 | + | 0.308739i | \(0.900093\pi\) | |||||||
\(744\) | 1.35493 | − | 1.74413i | 0.0496742 | − | 0.0639429i | ||||
\(745\) | −0.854150 | + | 0.310885i | −0.0312936 | + | 0.0113900i | ||||
\(746\) | −5.54692 | + | 19.4118i | −0.203087 | + | 0.710715i | ||||
\(747\) | 4.35169 | − | 5.18614i | 0.159220 | − | 0.189751i | ||||
\(748\) | −27.3639 | − | 10.9972i | −1.00052 | − | 0.402099i | ||||
\(749\) | −14.0351 | + | 8.10316i | −0.512831 | + | 0.296083i | ||||
\(750\) | −1.63484 | + | 15.6933i | −0.0596961 | + | 0.573040i | ||||
\(751\) | −3.02587 | + | 17.1606i | −0.110416 | + | 0.626198i | 0.878503 | + | 0.477738i | \(0.158543\pi\) |
−0.988918 | + | 0.148461i | \(0.952568\pi\) | |||||||
\(752\) | 23.3766 | − | 24.3861i | 0.852456 | − | 0.889268i | ||||
\(753\) | −25.3538 | − | 14.6380i | −0.923943 | − | 0.533439i | ||||
\(754\) | −34.3586 | − | 24.9147i | −1.25127 | − | 0.907341i | ||||
\(755\) | −1.67001 | − | 0.607834i | −0.0607779 | − | 0.0221214i | ||||
\(756\) | 5.66653 | + | 10.6101i | 0.206090 | + | 0.385884i | ||||
\(757\) | 25.6276 | − | 21.5041i | 0.931452 | − | 0.781581i | −0.0446258 | − | 0.999004i | \(-0.514210\pi\) |
0.976077 | + | 0.217423i | \(0.0697651\pi\) | |||||||
\(758\) | 1.35516 | + | 5.41402i | 0.0492215 | + | 0.196646i | ||||
\(759\) | −18.2191 | −0.661310 | ||||||||
\(760\) | −6.68514 | + | 6.48185i | −0.242496 | + | 0.235122i | ||||
\(761\) | 26.3077 | 0.953654 | 0.476827 | − | 0.878997i | \(-0.341787\pi\) | ||||
0.476827 | + | 0.878997i | \(0.341787\pi\) | |||||||
\(762\) | 5.91321 | + | 23.6240i | 0.214213 | + | 0.855807i | ||||
\(763\) | −2.91175 | + | 2.44325i | −0.105412 | + | 0.0884515i | ||||
\(764\) | −3.22001 | − | 6.02918i | −0.116496 | − | 0.218128i | ||||
\(765\) | −1.86885 | − | 0.680204i | −0.0675682 | − | 0.0245928i | ||||
\(766\) | 3.80402 | + | 2.75844i | 0.137445 | + | 0.0996664i | ||||
\(767\) | −4.29458 | − | 2.47948i | −0.155068 | − | 0.0895288i | ||||
\(768\) | 22.2172 | + | 11.6042i | 0.801695 | + | 0.418732i | ||||
\(769\) | −4.38426 | + | 24.8644i | −0.158100 | + | 0.896632i | 0.797796 | + | 0.602928i | \(0.205999\pi\) |
−0.955896 | + | 0.293704i | \(0.905112\pi\) | |||||||
\(770\) | −0.366257 | + | 3.51581i | −0.0131990 | + | 0.126701i | ||||
\(771\) | −12.5107 | + | 7.22306i | −0.450562 | + | 0.260132i | ||||
\(772\) | −37.1570 | − | 14.9330i | −1.33731 | − | 0.537449i | ||||
\(773\) | −18.0924 | + | 21.5617i | −0.650738 | + | 0.775520i | −0.986025 | − | 0.166597i | \(-0.946722\pi\) |
0.335287 | + | 0.942116i | \(0.391167\pi\) | |||||||
\(774\) | 1.48841 | − | 5.20877i | 0.0534997 | − | 0.187225i | ||||
\(775\) | −2.07474 | + | 0.755145i | −0.0745270 | + | 0.0271256i | ||||
\(776\) | 7.82404 | + | 6.07812i | 0.280867 | + | 0.218192i | ||||
\(777\) | 0.797008 | + | 4.52006i | 0.0285925 | + | 0.162156i | ||||
\(778\) | 10.4758 | − | 0.742222i | 0.375575 | − | 0.0266099i | ||||
\(779\) | −11.5730 | + | 21.7267i | −0.414647 | + | 0.778440i | ||||
\(780\) | −1.54485 | − | 10.8474i | −0.0553147 | − | 0.388399i | ||||
\(781\) | −7.13524 | + | 1.25813i | −0.255319 | + | 0.0450196i | ||||
\(782\) | −18.0487 | − | 18.6556i | −0.645420 | − | 0.667123i | ||||
\(783\) | 12.3138 | + | 33.8319i | 0.440059 | + | 1.20905i | ||||
\(784\) | −23.2601 | − | 1.54053i | −0.830718 | − | 0.0550190i | ||||
\(785\) | −1.90996 | − | 1.60264i | −0.0681693 | − | 0.0572008i | ||||
\(786\) | 21.8272 | + | 10.6210i | 0.778549 | + | 0.378838i | ||||
\(787\) | 13.2989 | + | 23.0343i | 0.474053 | + | 0.821085i | 0.999559 | − | 0.0297057i | \(-0.00945702\pi\) |
−0.525505 | + | 0.850790i | \(0.676124\pi\) | |||||||
\(788\) | −0.921083 | + | 27.8449i | −0.0328122 | + | 0.991932i | ||||
\(789\) | 12.1029 | + | 2.13407i | 0.430876 | + | 0.0759750i | ||||
\(790\) | −8.35804 | − | 12.3668i | −0.297366 | − | 0.439989i | ||||
\(791\) | −2.63691 | + | 4.56726i | −0.0937577 | + | 0.162393i | ||||
\(792\) | 2.20398 | − | 4.17282i | 0.0783151 | − | 0.148275i | ||||
\(793\) | 9.34153 | − | 25.6656i | 0.331727 | − | 0.911414i | ||||
\(794\) | −27.9158 | + | 12.4597i | −0.990695 | + | 0.442178i | ||||
\(795\) | −10.3352 | − | 12.3170i | −0.366551 | − | 0.436838i | ||||
\(796\) | −46.3359 | + | 15.1497i | −1.64233 | + | 0.536968i | ||||
\(797\) | 18.1641i | 0.643405i | 0.946841 | + | 0.321702i | \(0.104255\pi\) | ||||
−0.946841 | + | 0.321702i | \(0.895745\pi\) | |||||||
\(798\) | −7.26177 | + | 7.52243i | −0.257064 | + | 0.266291i | ||||
\(799\) | 40.7405i | 1.44129i | ||||||||
\(800\) | −12.6284 | − | 21.6425i | −0.446481 | − | 0.765179i | ||||
\(801\) | 1.92109 | + | 2.28946i | 0.0678782 | + | 0.0808941i | ||||
\(802\) | 12.1467 | + | 27.2145i | 0.428914 | + | 0.960976i | ||||
\(803\) | 6.51079 | − | 17.8882i | 0.229761 | − | 0.631262i | ||||
\(804\) | −35.0651 | − | 21.8215i | −1.23665 | − | 0.769586i | ||||
\(805\) | −1.55564 | + | 2.69445i | −0.0548292 | + | 0.0949669i | ||||
\(806\) | 2.70421 | − | 1.82763i | 0.0952516 | − | 0.0643756i | ||||
\(807\) | 18.5190 | + | 3.26540i | 0.651900 | + | 0.114948i | ||||
\(808\) | 0.0818137 | + | 2.17106i | 0.00287820 | + | 0.0763777i | ||||
\(809\) | −19.2576 | − | 33.3551i | −0.677061 | − | 1.17270i | −0.975862 | − | 0.218388i | \(-0.929920\pi\) |
0.298801 | − | 0.954315i | \(-0.403413\pi\) | |||||||
\(810\) | −3.30157 | + | 6.78506i | −0.116005 | + | 0.238403i | ||||
\(811\) | 30.7794 | + | 25.8270i | 1.08081 | + | 0.906907i | 0.995988 | − | 0.0894891i | \(-0.0285234\pi\) |
0.0848219 | + | 0.996396i | \(0.472968\pi\) | |||||||
\(812\) | 13.7335 | + | 2.89275i | 0.481951 | + | 0.101516i | ||||
\(813\) | 14.2915 | + | 39.2655i | 0.501224 | + | 1.37710i | ||||
\(814\) | 8.40701 | − | 8.13351i | 0.294665 | − | 0.285079i | ||||
\(815\) | 0.134187 | − | 0.0236608i | 0.00470036 | − | 0.000828800i | ||||
\(816\) | −29.0273 | + | 8.43915i | −1.01616 | + | 0.295429i | ||||
\(817\) | 30.5716 | − | 1.04481i | 1.06956 | − | 0.0365534i | ||||
\(818\) | −0.0269853 | − | 0.380873i | −0.000943518 | − | 0.0133169i | ||||
\(819\) | 0.475172 | + | 2.69484i | 0.0166039 | + | 0.0941652i | ||||
\(820\) | 6.35005 | + | 5.69650i | 0.221753 | + | 0.198930i | ||||
\(821\) | −9.74851 | + | 3.54817i | −0.340225 | + | 0.123832i | −0.506482 | − | 0.862251i | \(-0.669054\pi\) |
0.166256 | + | 0.986083i | \(0.446832\pi\) | |||||||
\(822\) | 26.3494 | + | 7.52935i | 0.919041 | + | 0.262616i | ||||
\(823\) | −13.6432 | + | 16.2594i | −0.475573 | + | 0.566766i | −0.949488 | − | 0.313805i | \(-0.898396\pi\) |
0.473914 | + | 0.880571i | \(0.342841\pi\) | |||||||
\(824\) | 13.0163 | − | 40.4393i | 0.453443 | − | 1.40877i | ||||
\(825\) | 18.3691 | − | 10.6054i | 0.639530 | − | 0.369233i | ||||
\(826\) | 1.63105 | + | 0.169913i | 0.0567514 | + | 0.00591204i | ||||
\(827\) | −0.820127 | + | 4.65117i | −0.0285186 | + | 0.161737i | −0.995741 | − | 0.0921932i | \(-0.970612\pi\) |
0.967223 | + | 0.253930i | \(0.0817234\pi\) | |||||||
\(828\) | 3.26842 | − | 2.56326i | 0.113585 | − | 0.0890795i | ||||
\(829\) | −7.40704 | − | 4.27646i | −0.257257 | − | 0.148527i | 0.365826 | − | 0.930683i | \(-0.380787\pi\) |
−0.623083 | + | 0.782156i | \(0.714120\pi\) | |||||||
\(830\) | 7.77687 | − | 10.7247i | 0.269939 | − | 0.372259i | ||||
\(831\) | −25.5032 | − | 9.28241i | −0.884696 | − | 0.322003i | ||||
\(832\) | 25.8781 | + | 26.5033i | 0.897162 | + | 0.918836i | ||||
\(833\) | 21.5363 | − | 18.0711i | 0.746189 | − | 0.626127i | ||||
\(834\) | −19.9665 | + | 4.99771i | −0.691383 | + | 0.173057i | ||||
\(835\) | 9.86845 | 0.341512 | ||||||||
\(836\) | 26.2474 | + | 4.59848i | 0.907786 | + | 0.159042i | ||||
\(837\) | −2.76878 | −0.0957030 | ||||||||
\(838\) | −5.91140 | + | 1.47965i | −0.204206 | + | 0.0511138i | ||||
\(839\) | 17.4577 | − | 14.6488i | 0.602707 | − | 0.505732i | −0.289607 | − | 0.957146i | \(-0.593525\pi\) |
0.892315 | + | 0.451414i | \(0.149080\pi\) | |||||||
\(840\) | 1.92853 | + | 3.06743i | 0.0665407 | + | 0.105836i | ||||
\(841\) | 12.2242 | + | 4.44924i | 0.421524 | + | 0.153422i | ||||
\(842\) | 9.48068 | − | 13.0743i | 0.326726 | − | 0.450571i | ||||
\(843\) | 21.3593 | + | 12.3318i | 0.735655 | + | 0.424730i | ||||
\(844\) | −14.3605 | − | 18.3111i | −0.494309 | − | 0.630293i | ||||
\(845\) | 1.10679 | − | 6.27693i | 0.0380748 | − | 0.215933i | ||||
\(846\) | −6.48413 | − | 0.675480i | −0.222929 | − | 0.0232235i | ||||
\(847\) | −1.55361 | + | 0.896980i | −0.0533828 | + | 0.0308206i | ||||
\(848\) | 52.7906 | + | 12.9561i | 1.81284 | + | 0.444914i | ||||
\(849\) | −3.47984 | + | 4.14711i | −0.119428 | + | 0.142328i | ||||
\(850\) | 29.0568 | + | 8.30300i | 0.996641 | + | 0.284790i | ||||
\(851\) | 9.67498 | − | 3.52140i | 0.331654 | − | 0.120712i | ||||
\(852\) | −4.95924 | + | 5.52821i | −0.169901 | + | 0.189393i | ||||
\(853\) | −4.72752 | − | 26.8111i | −0.161867 | − | 0.917994i | −0.952236 | − | 0.305363i | \(-0.901222\pi\) |
0.790369 | − | 0.612631i | \(-0.209889\pi\) | |||||||
\(854\) | 0.638331 | + | 9.00946i | 0.0218432 | + | 0.308297i | ||||
\(855\) | 1.77933 | + | 0.251418i | 0.0608517 | + | 0.00859832i | ||||
\(856\) | 41.3875 | − | 8.91662i | 1.41460 | − | 0.304764i | ||||
\(857\) | −13.6996 | + | 2.41560i | −0.467968 | + | 0.0825153i | −0.402660 | − | 0.915350i | \(-0.631914\pi\) |
−0.0653082 | + | 0.997865i | \(0.520803\pi\) | |||||||
\(858\) | −22.5352 | + | 21.8021i | −0.769339 | + | 0.744311i | ||||
\(859\) | −17.2191 | − | 47.3090i | −0.587507 | − | 1.61416i | −0.775046 | − | 0.631905i | \(-0.782273\pi\) |
0.187539 | − | 0.982257i | \(-0.439949\pi\) | |||||||
\(860\) | 2.18489 | − | 10.3729i | 0.0745040 | − | 0.353712i | ||||
\(861\) | 7.33782 | + | 6.15716i | 0.250072 | + | 0.209835i | ||||
\(862\) | −14.9637 | + | 30.7520i | −0.509667 | + | 1.04742i | ||||
\(863\) | −6.57791 | − | 11.3933i | −0.223915 | − | 0.387831i | 0.732079 | − | 0.681220i | \(-0.238550\pi\) |
−0.955993 | + | 0.293389i | \(0.905217\pi\) | |||||||
\(864\) | −5.59878 | − | 30.9201i | −0.190474 | − | 1.05192i | ||||
\(865\) | 0.982171 | + | 0.173183i | 0.0333948 | + | 0.00588841i | ||||
\(866\) | 3.41455 | − | 2.30771i | 0.116031 | − | 0.0784193i | ||||
\(867\) | 4.91268 | − | 8.50902i | 0.166843 | − | 0.288981i | ||||
\(868\) | −0.570274 | + | 0.916376i | −0.0193564 | + | 0.0311038i | ||||
\(869\) | −14.6094 | + | 40.1389i | −0.495588 | + | 1.36162i | ||||
\(870\) | 4.42025 | + | 9.90351i | 0.149860 | + | 0.335761i | ||||
\(871\) | −39.2325 | − | 46.7555i | −1.32934 | − | 1.58425i | ||||
\(872\) | 9.19638 | − | 3.74513i | 0.311429 | − | 0.126826i | ||||
\(873\) | − | 1.91201i | − | 0.0647118i | ||||||
\(874\) | 19.4468 | + | 13.1121i | 0.657797 | + | 0.443522i | ||||
\(875\) | − | 7.71083i | − | 0.260674i | ||||||
\(876\) | −6.06389 | − | 18.5466i | −0.204880 | − | 0.626631i | ||||
\(877\) | 9.75081 | + | 11.6206i | 0.329261 | + | 0.392399i | 0.905124 | − | 0.425148i | \(-0.139778\pi\) |
−0.575862 | + | 0.817547i | \(0.695334\pi\) | |||||||
\(878\) | 12.1401 | − | 5.41849i | 0.409707 | − | 0.182865i | ||||
\(879\) | −8.00496 | + | 21.9934i | −0.270001 | + | 0.741821i | ||||
\(880\) | 3.72489 | − | 8.44976i | 0.125566 | − | 0.284841i | ||||
\(881\) | −3.34310 | + | 5.79042i | −0.112632 | + | 0.195084i | −0.916831 | − | 0.399276i | \(-0.869261\pi\) |
0.804199 | + | 0.594360i | \(0.202595\pi\) | |||||||
\(882\) | 2.51907 | + | 3.72728i | 0.0848215 | + | 0.125504i | ||||
\(883\) | 1.04288 | + | 0.183888i | 0.0350957 | + | 0.00618833i | 0.191168 | − | 0.981557i | \(-0.438772\pi\) |
−0.156073 | + | 0.987746i | \(0.549883\pi\) | |||||||
\(884\) | −44.6489 | − | 1.47695i | −1.50171 | − | 0.0496751i | ||||
\(885\) | 0.633593 | + | 1.09741i | 0.0212980 | + | 0.0368892i | ||||
\(886\) | 11.6312 | + | 5.65967i | 0.390757 | + | 0.190140i | ||||
\(887\) | −16.0418 | − | 13.4607i | −0.538632 | − | 0.451966i | 0.332438 | − | 0.943125i | \(-0.392129\pi\) |
−0.871070 | + | 0.491159i | \(0.836573\pi\) | |||||||
\(888\) | 1.63596 | − | 11.8782i | 0.0548991 | − | 0.398605i | ||||
\(889\) | −4.07045 | − | 11.1835i | −0.136519 | − | 0.375082i | ||||
\(890\) | 4.06640 | + | 4.20314i | 0.136306 | + | 0.140890i | ||||
\(891\) | 21.2656 | − | 3.74971i | 0.712426 | − | 0.125620i | ||||
\(892\) | 39.9495 | − | 5.68949i | 1.33761 | − | 0.190498i | ||||
\(893\) | −7.62681 | − | 36.0131i | −0.255222 | − | 1.20513i | ||||
\(894\) | 2.65966 | − | 0.188440i | 0.0889522 | − | 0.00630236i | ||||
\(895\) | −1.09103 | − | 6.18756i | −0.0364693 | − | 0.206827i | ||||
\(896\) | −11.3867 | − | 4.51547i | −0.380403 | − | 0.150851i | ||||
\(897\) | −25.9340 | + | 9.43922i | −0.865912 | + | 0.315166i | ||||
\(898\) | −5.01000 | + | 17.5328i | −0.167186 | + | 0.585077i | ||||
\(899\) | −2.07661 | + | 2.47481i | −0.0692588 | + | 0.0825394i | ||||
\(900\) | −1.80324 | + | 4.48693i | −0.0601081 | + | 0.149564i | ||||
\(901\) | −56.7733 | + | 32.7781i | −1.89139 | + | 1.09200i | ||||
\(902\) | 2.52948 | − | 24.2812i | 0.0842224 | − | 0.808475i | ||||
\(903\) | 2.06692 | − | 11.7221i | 0.0687827 | − | 0.390086i | ||||
\(904\) | 10.2130 | − | 9.24699i | 0.339680 | − | 0.307550i | ||||
\(905\) | 9.37511 | + | 5.41272i | 0.311639 | + | 0.179925i | ||||
\(906\) | 4.22032 | + | 3.06032i | 0.140211 | + | 0.101672i | ||||
\(907\) | −14.5374 | − | 5.29118i | −0.482706 | − | 0.175691i | 0.0891935 | − | 0.996014i | \(-0.471571\pi\) |
−0.571899 | + | 0.820324i | \(0.693793\pi\) | |||||||
\(908\) | 7.07264 | − | 3.77730i | 0.234714 | − | 0.125354i | ||||
\(909\) | 0.321188 | − | 0.269509i | 0.0106531 | − | 0.00893904i | ||||
\(910\) | 1.30017 | + | 5.19436i | 0.0431003 | + | 0.172191i | ||||
\(911\) | 45.0630 | 1.49300 | 0.746501 | − | 0.665384i | \(-0.231732\pi\) | ||||
0.746501 | + | 0.665384i | \(0.231732\pi\) | |||||||
\(912\) | 24.0792 | − | 12.8939i | 0.797343 | − | 0.426961i | ||||
\(913\) | −37.9110 | −1.25467 | ||||||||
\(914\) | 8.37431 | + | 33.4564i | 0.276998 | + | 1.10664i | ||||
\(915\) | −5.34650 | + | 4.48625i | −0.176750 | + | 0.148311i | ||||
\(916\) | 38.0334 | − | 20.3125i | 1.25666 | − | 0.671145i | ||||
\(917\) | −11.1473 | − | 4.05729i | −0.368117 | − | 0.133984i | ||||
\(918\) | 30.6796 | + | 22.2469i | 1.01258 | + | 0.734258i | ||||
\(919\) | −13.8026 | − | 7.96894i | −0.455306 | − | 0.262871i | 0.254762 | − | 0.967004i | \(-0.418003\pi\) |
−0.710069 | + | 0.704133i | \(0.751336\pi\) | |||||||
\(920\) | 6.02516 | − | 5.45526i | 0.198644 | − | 0.179854i | ||||
\(921\) | 0.746650 | − | 4.23446i | 0.0246029 | − | 0.139530i | ||||
\(922\) | 2.78319 | − | 26.7167i | 0.0916596 | − | 0.879867i | ||||
\(923\) | −9.50486 | + | 5.48763i | −0.312856 | + | 0.180628i | ||||
\(924\) | 3.86657 | − | 9.62102i | 0.127201 | − | 0.316508i | ||||
\(925\) | −7.70482 | + | 9.18225i | −0.253333 | + | 0.301910i | ||||
\(926\) | −15.6707 | + | 54.8407i | −0.514972 | + | 1.80218i | ||||
\(927\) | −7.70408 | + | 2.80406i | −0.253035 | + | 0.0920973i | ||||
\(928\) | −31.8363 | − | 18.1860i | −1.04508 | − | 0.596984i | ||||
\(929\) | −3.18405 | − | 18.0577i | −0.104465 | − | 0.592453i | −0.991432 | − | 0.130620i | \(-0.958303\pi\) |
0.886967 | − | 0.461833i | \(-0.152808\pi\) | |||||||
\(930\) | −0.831951 | + | 0.0589447i | −0.0272807 | + | 0.00193287i | ||||
\(931\) | −15.6543 | + | 20.0059i | −0.513049 | + | 0.655667i | ||||
\(932\) | −1.81747 | + | 0.258838i | −0.0595330 | + | 0.00847853i | ||||
\(933\) | −31.5320 | + | 5.55994i | −1.03231 | + | 0.182024i | ||||
\(934\) | −25.8871 | − | 26.7576i | −0.847051 | − | 0.875534i | ||||
\(935\) | 3.80902 | + | 10.4652i | 0.124568 | + | 0.342249i | ||||
\(936\) | 0.975349 | − | 7.08170i | 0.0318803 | − | 0.231473i | ||||
\(937\) | −33.1396 | − | 27.8074i | −1.08262 | − | 0.908428i | −0.0864865 | − | 0.996253i | \(-0.527564\pi\) |
−0.996136 | + | 0.0878249i | \(0.972008\pi\) | |||||||
\(938\) | 18.1490 | + | 8.83121i | 0.592586 | + | 0.288349i | ||||
\(939\) | −15.9665 | − | 27.6548i | −0.521047 | − | 0.902480i | ||||
\(940\) | −12.7498 | − | 0.421753i | −0.415854 | − | 0.0137561i | ||||
\(941\) | 4.91527 | + | 0.866695i | 0.160233 | + | 0.0282534i | 0.253189 | − | 0.967417i | \(-0.418520\pi\) |
−0.0929560 | + | 0.995670i | \(0.529632\pi\) | |||||||
\(942\) | 4.09531 | + | 6.05952i | 0.133433 | + | 0.197430i | ||||
\(943\) | 10.7437 | − | 18.6087i | 0.349864 | − | 0.605982i | ||||
\(944\) | −3.92000 | − | 1.72804i | −0.127585 | − | 0.0562430i | ||||
\(945\) | 1.55357 | − | 4.26841i | 0.0505378 | − | 0.138851i | ||||
\(946\) | −27.7017 | + | 12.3641i | −0.900659 | + | 0.401992i | ||||
\(947\) | 17.2136 | + | 20.5144i | 0.559367 | + | 0.666627i | 0.969412 | − | 0.245438i | \(-0.0789317\pi\) |
−0.410046 | + | 0.912065i | \(0.634487\pi\) | |||||||
\(948\) | 13.6066 | + | 41.6161i | 0.441921 | + | 1.35163i | ||||
\(949\) | − | 28.8363i | − | 0.936067i | ||||||
\(950\) | −27.2395 | − | 1.89996i | −0.883767 | − | 0.0616428i | ||||
\(951\) | − | 45.1606i | − | 1.46443i | ||||||
\(952\) | 13.6820 | − | 5.57183i | 0.443435 | − | 0.180584i | ||||
\(953\) | 0.108118 | + | 0.128850i | 0.00350228 | + | 0.00417386i | 0.767793 | − | 0.640698i | \(-0.221355\pi\) |
−0.764290 | + | 0.644872i | \(0.776911\pi\) | |||||||
\(954\) | −4.27555 | − | 9.57932i | −0.138426 | − | 0.310142i | ||||
\(955\) | −0.882820 | + | 2.42553i | −0.0285674 | + | 0.0784882i | ||||
\(956\) | −14.3157 | + | 23.0040i | −0.463004 | + | 0.744004i | ||||
\(957\) | 15.5180 | − | 26.8779i | 0.501625 | − | 0.868840i | ||||
\(958\) | 27.8473 | − | 18.8205i | 0.899704 | − | 0.608063i | ||||
\(959\) | −13.1889 | − | 2.32556i | −0.425891 | − | 0.0750961i | ||||
\(960\) | −2.34056 | − | 9.17154i | −0.0755411 | − | 0.296010i | ||||
\(961\) | 15.3758 | + | 26.6316i | 0.495993 | + | 0.859085i | ||||
\(962\) | 7.75307 | − | 15.9333i | 0.249969 | − | 0.513711i | ||||
\(963\) | −6.25894 | − | 5.25187i | −0.201691 | − | 0.169239i | ||||
\(964\) | 4.99067 | − | 23.6935i | 0.160739 | − | 0.763115i | ||||
\(965\) | 5.17221 | + | 14.2105i | 0.166499 | + | 0.457453i | ||||
\(966\) | 6.55922 | − | 6.34583i | 0.211039 | − | 0.204174i | ||||
\(967\) | 39.0081 | − | 6.87817i | 1.25441 | − | 0.221187i | 0.493331 | − | 0.869841i | \(-0.335779\pi\) |
0.761083 | + | 0.648654i | \(0.224668\pi\) | |||||||
\(968\) | 4.58140 | − | 0.987026i | 0.147252 | − | 0.0317242i | ||||
\(969\) | −10.2028 | + | 31.3217i | −0.327761 | + | 1.00620i | ||||
\(970\) | −0.264421 | − | 3.73207i | −0.00849005 | − | 0.119829i | ||||
\(971\) | 2.86243 | + | 16.2336i | 0.0918597 | + | 0.520962i | 0.995664 | + | 0.0930173i | \(0.0296512\pi\) |
−0.903805 | + | 0.427945i | \(0.859238\pi\) | |||||||
\(972\) | −7.47547 | + | 8.33313i | −0.239776 | + | 0.267285i | ||||
\(973\) | 9.45202 | − | 3.44025i | 0.303018 | − | 0.110290i | ||||
\(974\) | 0.946779 | + | 0.270542i | 0.0303368 | + | 0.00866873i | ||||
\(975\) | 20.6530 | − | 24.6133i | 0.661425 | − | 0.788255i | ||||
\(976\) | 5.62392 | − | 22.9152i | 0.180017 | − | 0.733496i | ||||
\(977\) | −13.5649 | + | 7.83168i | −0.433978 | + | 0.250558i | −0.701040 | − | 0.713122i | \(-0.747281\pi\) |
0.267062 | + | 0.963679i | \(0.413947\pi\) | |||||||
\(978\) | −0.397538 | − | 0.0414133i | −0.0127119 | − | 0.00132425i | ||||
\(979\) | 2.90619 | − | 16.4818i | 0.0928822 | − | 0.526761i | ||||
\(980\) | 5.43245 | + | 6.92692i | 0.173533 | + | 0.221272i | ||||
\(981\) | −1.65956 | − | 0.958147i | −0.0529857 | − | 0.0305913i | ||||
\(982\) | 26.8751 | − | 37.0620i | 0.857619 | − | 1.18270i | ||||
\(983\) | 17.2444 | + | 6.27645i | 0.550011 | + | 0.200188i | 0.602051 | − | 0.798457i | \(-0.294350\pi\) |
−0.0520403 | + | 0.998645i | \(0.516572\pi\) | |||||||
\(984\) | −13.3190 | − | 21.1846i | −0.424594 | − | 0.675339i | ||||
\(985\) | 8.05950 | − | 6.76272i | 0.256797 | − | 0.215478i | ||||
\(986\) | 42.8948 | − | 10.7368i | 1.36605 | − | 0.341929i | ||||
\(987\) | −14.3241 | −0.455943 | ||||||||
\(988\) | 39.7445 | − | 7.05294i | 1.26444 | − | 0.224384i | ||||
\(989\) | −26.7008 | −0.849037 | ||||||||
\(990\) | −1.72876 | + | 0.432719i | −0.0549437 | + | 0.0137527i | ||||
\(991\) | −40.1167 | + | 33.6619i | −1.27435 | + | 1.06931i | −0.280353 | + | 0.959897i | \(0.590451\pi\) |
−0.993997 | + | 0.109409i | \(0.965104\pi\) | |||||||
\(992\) | 2.15161 | − | 1.82234i | 0.0683135 | − | 0.0578593i | ||||
\(993\) | −5.41169 | − | 1.96969i | −0.171735 | − | 0.0625064i | ||||
\(994\) | 2.13061 | − | 2.93821i | 0.0675787 | − | 0.0931943i | ||||
\(995\) | 15.9431 | + | 9.20478i | 0.505432 | + | 0.291811i | ||||
\(996\) | −30.5779 | + | 23.9808i | −0.968898 | + | 0.759860i | ||||
\(997\) | 6.70707 | − | 38.0377i | 0.212415 | − | 1.20467i | −0.672921 | − | 0.739714i | \(-0.734961\pi\) |
0.885336 | − | 0.464951i | \(-0.153928\pi\) | |||||||
\(998\) | 42.1308 | + | 4.38895i | 1.33363 | + | 0.138930i | ||||
\(999\) | −13.0177 | + | 7.51579i | −0.411863 | + | 0.237789i |
(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 | 76.2.k.a.67.6 | yes | 48 | |
3.2 | odd | 2 | 684.2.cf.a.523.3 | 48 | |||
4.3 | odd | 2 | inner | 76.2.k.a.67.5 | yes | 48 | |
12.11 | even | 2 | 684.2.cf.a.523.4 | 48 | |||
19.2 | odd | 18 | inner | 76.2.k.a.59.5 | ✓ | 48 | |
57.2 | even | 18 | 684.2.cf.a.667.4 | 48 | |||
76.59 | even | 18 | inner | 76.2.k.a.59.6 | yes | 48 | |
228.59 | odd | 18 | 684.2.cf.a.667.3 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.2.k.a.59.5 | ✓ | 48 | 19.2 | odd | 18 | inner | |
76.2.k.a.59.6 | yes | 48 | 76.59 | even | 18 | inner | |
76.2.k.a.67.5 | yes | 48 | 4.3 | odd | 2 | inner | |
76.2.k.a.67.6 | yes | 48 | 1.1 | even | 1 | trivial | |
684.2.cf.a.523.3 | 48 | 3.2 | odd | 2 | |||
684.2.cf.a.523.4 | 48 | 12.11 | even | 2 | |||
684.2.cf.a.667.3 | 48 | 228.59 | odd | 18 | |||
684.2.cf.a.667.4 | 48 | 57.2 | even | 18 |