Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [81,2,Mod(10,81)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(81, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("81.10");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 81 = 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 81.e (of order \(9\), degree \(6\), not 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: | \(0.646788256372\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{9})\) |
Coefficient field: | 12.0.1952986685049.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 6 x^{11} + 27 x^{10} - 80 x^{9} + 186 x^{8} - 330 x^{7} + 463 x^{6} - 504 x^{5} + 420 x^{4} + \cdots + 3 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | no (minimal twist has level 27) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 46.1 | ||
Root | \(0.500000 - 2.22827i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 81.46 |
Dual form | 81.2.e.a.37.1 |
$q$-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 \(\left(\mathbb{Z}/81\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{2}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.318266 | + | 0.267057i | 0.225048 | + | 0.188837i | 0.748339 | − | 0.663316i | \(-0.230852\pi\) |
−0.523291 | + | 0.852154i | \(0.675296\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.317323 | − | 1.79963i | −0.158661 | − | 0.899813i | ||||
\(5\) | 2.08159 | + | 0.757639i | 0.930917 | + | 0.338826i | 0.762573 | − | 0.646902i | \(-0.223936\pi\) |
0.168344 | + | 0.985728i | \(0.446158\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.229151 | + | 1.29958i | −0.0866110 | + | 0.491195i | 0.910386 | + | 0.413759i | \(0.135784\pi\) |
−0.996997 | + | 0.0774361i | \(0.975327\pi\) | |||||||
\(8\) | 0.795075 | − | 1.37711i | 0.281102 | − | 0.486882i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.460168 | + | 0.797034i | 0.145518 | + | 0.252044i | ||||
\(11\) | −4.90067 | + | 1.78370i | −1.47761 | + | 0.537805i | −0.950155 | − | 0.311778i | \(-0.899075\pi\) |
−0.527454 | + | 0.849584i | \(0.676853\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.0138336 | + | 0.0116078i | −0.00383676 | + | 0.00321942i | −0.644704 | − | 0.764432i | \(-0.723019\pi\) |
0.640867 | + | 0.767652i | \(0.278575\pi\) | |||||||
\(14\) | −0.419993 | + | 0.352416i | −0.112248 | + | 0.0941870i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −2.81355 | + | 1.02405i | −0.703389 | + | 0.256012i | ||||
\(17\) | −1.56640 | − | 2.71308i | −0.379907 | − | 0.658019i | 0.611141 | − | 0.791522i | \(-0.290711\pi\) |
−0.991048 | + | 0.133503i | \(0.957377\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.208676 | + | 0.361438i | −0.0478736 | + | 0.0829195i | −0.888969 | − | 0.457967i | \(-0.848578\pi\) |
0.841096 | + | 0.540886i | \(0.181911\pi\) | |||||||
\(20\) | 0.702929 | − | 3.98651i | 0.157180 | − | 0.891410i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −2.03606 | − | 0.741067i | −0.434090 | − | 0.157996i | ||||
\(23\) | 0.179619 | + | 1.01867i | 0.0374532 | + | 0.212408i | 0.997791 | − | 0.0664316i | \(-0.0211614\pi\) |
−0.960338 | + | 0.278839i | \(0.910050\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.0712019 | − | 0.0597455i | −0.0142404 | − | 0.0119491i | ||||
\(26\) | −0.00750270 | −0.00147140 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 2.41147 | 0.455726 | ||||||||
\(29\) | 5.98068 | + | 5.01839i | 1.11058 | + | 0.931891i | 0.998091 | − | 0.0617615i | \(-0.0196718\pi\) |
0.112493 | + | 0.993652i | \(0.464116\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.647649 | + | 3.67300i | 0.116321 | + | 0.659691i | 0.986088 | + | 0.166227i | \(0.0531584\pi\) |
−0.869766 | + | 0.493464i | \(0.835730\pi\) | |||||||
\(32\) | −4.15744 | − | 1.51319i | −0.734939 | − | 0.267496i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.226015 | − | 1.28180i | 0.0387613 | − | 0.219826i | ||||
\(35\) | −1.46161 | + | 2.53159i | −0.247058 | + | 0.427916i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −2.21238 | − | 3.83195i | −0.363713 | − | 0.629969i | 0.624856 | − | 0.780740i | \(-0.285158\pi\) |
−0.988569 | + | 0.150771i | \(0.951824\pi\) | |||||||
\(38\) | −0.162939 | + | 0.0593049i | −0.0264322 | + | 0.00962052i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 2.69838 | − | 2.26421i | 0.426651 | − | 0.358002i | ||||
\(41\) | 2.81517 | − | 2.36221i | 0.439655 | − | 0.368915i | −0.395925 | − | 0.918283i | \(-0.629576\pi\) |
0.835580 | + | 0.549368i | \(0.185132\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 7.80685 | − | 2.84146i | 1.19053 | − | 0.433319i | 0.330622 | − | 0.943763i | \(-0.392741\pi\) |
0.859911 | + | 0.510445i | \(0.170519\pi\) | |||||||
\(44\) | 4.76508 | + | 8.25337i | 0.718363 | + | 1.24424i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.214876 | + | 0.372177i | −0.0316818 | + | 0.0548745i | ||||
\(47\) | 1.23254 | − | 6.99008i | 0.179784 | − | 1.01961i | −0.752691 | − | 0.658374i | \(-0.771245\pi\) |
0.932475 | − | 0.361234i | \(-0.117644\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 4.94145 | + | 1.79854i | 0.705921 | + | 0.256934i | ||||
\(50\) | −0.00670569 | − | 0.0380299i | −0.000948328 | − | 0.00537824i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.0252794 | + | 0.0212119i | 0.00350562 | + | 0.00294157i | ||||
\(53\) | 1.30057 | 0.178648 | 0.0893238 | − | 0.996003i | \(-0.471529\pi\) | ||||
0.0893238 | + | 0.996003i | \(0.471529\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −11.5526 | −1.55775 | ||||||||
\(56\) | 1.60747 | + | 1.34883i | 0.214808 | + | 0.180245i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0.563252 | + | 3.19436i | 0.0739586 | + | 0.419440i | ||||
\(59\) | −3.47856 | − | 1.26609i | −0.452871 | − | 0.164831i | 0.105507 | − | 0.994419i | \(-0.466354\pi\) |
−0.558377 | + | 0.829587i | \(0.688576\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.20064 | − | 6.80919i | 0.153727 | − | 0.871828i | −0.806214 | − | 0.591624i | \(-0.798487\pi\) |
0.959941 | − | 0.280204i | \(-0.0904020\pi\) | |||||||
\(62\) | −0.774775 | + | 1.34195i | −0.0983965 | + | 0.170428i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 2.07506 | + | 3.59410i | 0.259382 | + | 0.449263i | ||||
\(65\) | −0.0375905 | + | 0.0136818i | −0.00466253 | + | 0.00169702i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −8.44702 | + | 7.08789i | −1.03197 | + | 0.865923i | −0.991084 | − | 0.133241i | \(-0.957462\pi\) |
−0.0408835 | + | 0.999164i | \(0.513017\pi\) | |||||||
\(68\) | −4.38548 | + | 3.67985i | −0.531817 | + | 0.446247i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −1.14126 | + | 0.415384i | −0.136406 | + | 0.0496479i | ||||
\(71\) | −3.04214 | − | 5.26914i | −0.361035 | − | 0.625332i | 0.627096 | − | 0.778942i | \(-0.284243\pi\) |
−0.988132 | + | 0.153610i | \(0.950910\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 0.273486 | − | 0.473692i | 0.0320092 | − | 0.0554415i | −0.849577 | − | 0.527465i | \(-0.823143\pi\) |
0.881586 | + | 0.472023i | \(0.156476\pi\) | |||||||
\(74\) | 0.319224 | − | 1.81041i | 0.0371090 | − | 0.210456i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.716670 | + | 0.260847i | 0.0822077 | + | 0.0299212i | ||||
\(77\) | −1.19507 | − | 6.77756i | −0.136190 | − | 0.772374i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.374706 | + | 0.314416i | 0.0421577 | + | 0.0353745i | 0.663623 | − | 0.748067i | \(-0.269018\pi\) |
−0.621465 | + | 0.783442i | \(0.713462\pi\) | |||||||
\(80\) | −6.63254 | −0.741540 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 1.52681 | 0.168608 | ||||||||
\(83\) | −3.53428 | − | 2.96561i | −0.387937 | − | 0.325518i | 0.427872 | − | 0.903839i | \(-0.359263\pi\) |
−0.815809 | + | 0.578321i | \(0.803708\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −1.20507 | − | 6.83430i | −0.130708 | − | 0.741284i | ||||
\(86\) | 3.24348 | + | 1.18053i | 0.349754 | + | 0.127300i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −1.44005 | + | 8.16694i | −0.153510 | + | 0.870599i | ||||
\(89\) | −1.68653 | + | 2.92116i | −0.178772 | + | 0.309642i | −0.941460 | − | 0.337124i | \(-0.890546\pi\) |
0.762688 | + | 0.646766i | \(0.223879\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.0119153 | − | 0.0206379i | −0.00124906 | − | 0.00216344i | ||||
\(92\) | 1.77623 | − | 0.646495i | 0.185185 | − | 0.0674018i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 2.25902 | − | 1.89554i | 0.233000 | − | 0.195510i | ||||
\(95\) | −0.708218 | + | 0.594266i | −0.0726617 | + | 0.0609704i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −9.34182 | + | 3.40014i | −0.948518 | + | 0.345232i | −0.769524 | − | 0.638618i | \(-0.779507\pi\) |
−0.178994 | + | 0.983850i | \(0.557284\pi\) | |||||||
\(98\) | 1.09238 | + | 1.89206i | 0.110347 | + | 0.191127i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.0849256 | + | 0.147095i | −0.00849256 | + | 0.0147095i | ||||
\(101\) | −2.39626 | + | 13.5898i | −0.238436 | + | 1.35224i | 0.596818 | + | 0.802377i | \(0.296431\pi\) |
−0.835255 | + | 0.549863i | \(0.814680\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −4.28981 | − | 1.56136i | −0.422687 | − | 0.153846i | 0.121914 | − | 0.992541i | \(-0.461097\pi\) |
−0.544601 | + | 0.838695i | \(0.683319\pi\) | |||||||
\(104\) | 0.00498644 | + | 0.0282795i | 0.000488961 | + | 0.00277303i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.413928 | + | 0.347327i | 0.0402042 | + | 0.0337354i | ||||
\(107\) | 11.2965 | 1.09207 | 0.546035 | − | 0.837762i | \(-0.316136\pi\) | ||||
0.546035 | + | 0.837762i | \(0.316136\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 14.5032 | 1.38915 | 0.694577 | − | 0.719419i | \(-0.255592\pi\) | ||||
0.694577 | + | 0.719419i | \(0.255592\pi\) | |||||||
\(110\) | −3.67680 | − | 3.08520i | −0.350569 | − | 0.294162i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −0.686107 | − | 3.89110i | −0.0648310 | − | 0.367675i | ||||
\(113\) | 11.8011 | + | 4.29523i | 1.11015 | + | 0.404062i | 0.831049 | − | 0.556200i | \(-0.187741\pi\) |
0.279102 | + | 0.960262i | \(0.409963\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.397890 | + | 2.25655i | −0.0371035 | + | 0.210424i | ||||
\(116\) | 7.13341 | − | 12.3554i | 0.662321 | − | 1.14717i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −0.768989 | − | 1.33193i | −0.0707912 | − | 0.122614i | ||||
\(119\) | 3.88481 | − | 1.41395i | 0.356120 | − | 0.129617i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 12.4085 | − | 10.4120i | 1.12805 | − | 0.946544i | ||||
\(122\) | 2.20056 | − | 1.84649i | 0.199230 | − | 0.167174i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 6.40452 | − | 2.33105i | 0.575143 | − | 0.209335i | ||||
\(125\) | −5.64092 | − | 9.77035i | −0.504539 | − | 0.873887i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 4.19749 | − | 7.27027i | 0.372467 | − | 0.645132i | −0.617477 | − | 0.786589i | \(-0.711845\pi\) |
0.989944 | + | 0.141456i | \(0.0451785\pi\) | |||||||
\(128\) | −1.83594 | + | 10.4121i | −0.162276 | + | 0.920310i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −0.0156176 | − | 0.00568434i | −0.00136975 | − | 0.000498549i | ||||
\(131\) | 2.69761 | + | 15.2989i | 0.235691 | + | 1.33667i | 0.841154 | + | 0.540796i | \(0.181877\pi\) |
−0.605463 | + | 0.795874i | \(0.707012\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.421899 | − | 0.354015i | −0.0365833 | − | 0.0306970i | ||||
\(134\) | −4.58126 | −0.395761 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −4.98162 | −0.427170 | ||||||||
\(137\) | −9.19820 | − | 7.71820i | −0.785855 | − | 0.659411i | 0.158861 | − | 0.987301i | \(-0.449218\pi\) |
−0.944716 | + | 0.327890i | \(0.893662\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 1.06709 | + | 6.05176i | 0.0905093 | + | 0.513304i | 0.996031 | + | 0.0890042i | \(0.0283685\pi\) |
−0.905522 | + | 0.424299i | \(0.860520\pi\) | |||||||
\(140\) | 5.01971 | + | 1.82703i | 0.424243 | + | 0.154412i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0.438950 | − | 2.48941i | 0.0368359 | − | 0.208907i | ||||
\(143\) | 0.0470893 | − | 0.0815610i | 0.00393780 | − | 0.00682047i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 8.64723 | + | 14.9774i | 0.718113 | + | 1.24381i | ||||
\(146\) | 0.213544 | − | 0.0777237i | 0.0176730 | − | 0.00643246i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −6.19404 | + | 5.19742i | −0.509147 | + | 0.427225i | ||||
\(149\) | −0.676280 | + | 0.567466i | −0.0554030 | + | 0.0464886i | −0.670069 | − | 0.742299i | \(-0.733735\pi\) |
0.614666 | + | 0.788788i | \(0.289291\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −7.72942 | + | 2.81328i | −0.629011 | + | 0.228941i | −0.636801 | − | 0.771028i | \(-0.719743\pi\) |
0.00778980 | + | 0.999970i | \(0.497520\pi\) | |||||||
\(152\) | 0.331826 | + | 0.574740i | 0.0269147 | + | 0.0466176i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 1.42964 | − | 2.47621i | 0.115204 | − | 0.199539i | ||||
\(155\) | −1.43466 | + | 8.13639i | −0.115235 | + | 0.653530i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −11.8024 | − | 4.29571i | −0.941932 | − | 0.342835i | −0.175003 | − | 0.984568i | \(-0.555994\pi\) |
−0.766928 | + | 0.641733i | \(0.778216\pi\) | |||||||
\(158\) | 0.0352893 | + | 0.200135i | 0.00280746 | + | 0.0159219i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −7.50766 | − | 6.29968i | −0.593533 | − | 0.498033i | ||||
\(161\) | −1.36501 | −0.107578 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 3.31466 | 0.259624 | 0.129812 | − | 0.991539i | \(-0.458563\pi\) | ||||
0.129812 | + | 0.991539i | \(0.458563\pi\) | |||||||
\(164\) | −5.14440 | − | 4.31667i | −0.401710 | − | 0.337075i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −0.332853 | − | 1.88770i | −0.0258344 | − | 0.146514i | ||||
\(167\) | −19.3229 | − | 7.03295i | −1.49525 | − | 0.544226i | −0.540424 | − | 0.841393i | \(-0.681736\pi\) |
−0.954826 | + | 0.297167i | \(0.903958\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −2.25737 | + | 12.8022i | −0.173644 | + | 0.984783i | ||||
\(170\) | 1.44161 | − | 2.49694i | 0.110567 | − | 0.191507i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −7.59085 | − | 13.1477i | −0.578797 | − | 1.00251i | ||||
\(173\) | 13.1870 | − | 4.79966i | 1.00259 | − | 0.364911i | 0.212005 | − | 0.977269i | \(-0.432001\pi\) |
0.790581 | + | 0.612357i | \(0.209779\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.0939601 | − | 0.0788419i | 0.00710272 | − | 0.00595989i | ||||
\(176\) | 11.9617 | − | 10.0371i | 0.901648 | − | 0.756572i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −1.31688 | + | 0.479305i | −0.0987043 | + | 0.0359254i | ||||
\(179\) | 5.09500 | + | 8.82479i | 0.380818 | + | 0.659596i | 0.991179 | − | 0.132527i | \(-0.0423091\pi\) |
−0.610361 | + | 0.792123i | \(0.708976\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −12.0274 | + | 20.8320i | −0.893987 | + | 1.54843i | −0.0589331 | + | 0.998262i | \(0.518770\pi\) |
−0.835054 | + | 0.550169i | \(0.814563\pi\) | |||||||
\(182\) | 0.00171925 | − | 0.00975037i | 0.000127440 | − | 0.000722746i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 1.54563 | + | 0.562565i | 0.113946 | + | 0.0414728i | ||||
\(185\) | −1.70204 | − | 9.65275i | −0.125137 | − | 0.709685i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 12.5157 | + | 10.5019i | 0.915240 | + | 0.767978i | ||||
\(188\) | −12.9706 | −0.945981 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −0.384104 | −0.0278658 | ||||||||
\(191\) | −8.38541 | − | 7.03619i | −0.606747 | − | 0.509121i | 0.286860 | − | 0.957973i | \(-0.407389\pi\) |
−0.893606 | + | 0.448852i | \(0.851833\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −1.87644 | − | 10.6418i | −0.135069 | − | 0.766013i | −0.974812 | − | 0.223029i | \(-0.928405\pi\) |
0.839743 | − | 0.542984i | \(-0.182706\pi\) | |||||||
\(194\) | −3.88121 | − | 1.41265i | −0.278655 | − | 0.101422i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 1.66867 | − | 9.46347i | 0.119190 | − | 0.675962i | ||||
\(197\) | −11.0367 | + | 19.1161i | −0.786331 | + | 1.36196i | 0.141870 | + | 0.989885i | \(0.454689\pi\) |
−0.928201 | + | 0.372080i | \(0.878645\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −6.44338 | − | 11.1603i | −0.456759 | − | 0.791130i | 0.542028 | − | 0.840360i | \(-0.317657\pi\) |
−0.998787 | + | 0.0492301i | \(0.984323\pi\) | |||||||
\(200\) | −0.138887 | + | 0.0505508i | −0.00982080 | + | 0.00357448i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −4.39190 | + | 3.68524i | −0.309013 | + | 0.259293i | ||||
\(203\) | −7.89228 | + | 6.62241i | −0.553929 | + | 0.464802i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 7.64974 | − | 2.78428i | 0.534281 | − | 0.194462i | ||||
\(206\) | −0.948326 | − | 1.64255i | −0.0660730 | − | 0.114442i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0.0270347 | − | 0.0468255i | 0.00187452 | − | 0.00324676i | ||||
\(209\) | 0.377957 | − | 2.14350i | 0.0261439 | − | 0.148269i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 22.5485 | + | 8.20699i | 1.55230 | + | 0.564992i | 0.968957 | − | 0.247230i | \(-0.0795204\pi\) |
0.583347 | + | 0.812223i | \(0.301743\pi\) | |||||||
\(212\) | −0.412702 | − | 2.34055i | −0.0283445 | − | 0.160749i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 3.59528 | + | 3.01680i | 0.245768 | + | 0.206224i | ||||
\(215\) | 18.4035 | 1.25511 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −4.92177 | −0.334112 | ||||||||
\(218\) | 4.61587 | + | 3.87317i | 0.312626 | + | 0.262324i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 3.66590 | + | 20.7904i | 0.247155 | + | 1.40169i | ||||
\(221\) | 0.0531618 | + | 0.0193493i | 0.00357605 | + | 0.00130158i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 3.76160 | − | 21.3331i | 0.251895 | − | 1.42857i | −0.552023 | − | 0.833829i | \(-0.686144\pi\) |
0.803918 | − | 0.594740i | \(-0.202745\pi\) | |||||||
\(224\) | 2.91919 | − | 5.05618i | 0.195047 | − | 0.337831i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 2.60880 | + | 4.51858i | 0.173535 | + | 0.300571i | ||||
\(227\) | 20.3367 | − | 7.40196i | 1.34979 | − | 0.491285i | 0.436911 | − | 0.899505i | \(-0.356072\pi\) |
0.912884 | + | 0.408220i | \(0.133850\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −8.27739 | + | 6.94555i | −0.546985 | + | 0.458975i | −0.873919 | − | 0.486072i | \(-0.838429\pi\) |
0.326934 | + | 0.945047i | \(0.393985\pi\) | |||||||
\(230\) | −0.729261 | + | 0.611922i | −0.0480860 | + | 0.0403490i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 11.6660 | − | 4.24606i | 0.765908 | − | 0.278768i | ||||
\(233\) | 3.81950 | + | 6.61557i | 0.250224 | + | 0.433400i | 0.963587 | − | 0.267394i | \(-0.0861625\pi\) |
−0.713364 | + | 0.700794i | \(0.752829\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 7.86160 | − | 13.6167i | 0.512834 | − | 0.888255i | ||||
\(236\) | −1.17467 | + | 6.66187i | −0.0764644 | + | 0.433651i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 1.61401 | + | 0.587451i | 0.104621 | + | 0.0380788i | ||||
\(239\) | 0.561143 | + | 3.18240i | 0.0362973 | + | 0.205852i | 0.997563 | − | 0.0697711i | \(-0.0222269\pi\) |
−0.961266 | + | 0.275623i | \(0.911116\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −20.3346 | − | 17.0628i | −1.30987 | − | 1.09911i | −0.988349 | − | 0.152206i | \(-0.951362\pi\) |
−0.321518 | − | 0.946903i | \(-0.604193\pi\) | |||||||
\(242\) | 6.72979 | 0.432608 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −12.6350 | −0.808873 | ||||||||
\(245\) | 8.92345 | + | 7.48766i | 0.570098 | + | 0.478369i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −0.00130875 | − | 0.00742226i | −8.32735e−5 | − | 0.000472267i | ||||
\(248\) | 5.57306 | + | 2.02843i | 0.353890 | + | 0.128805i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0.813927 | − | 4.61601i | 0.0514773 | − | 0.291942i | ||||
\(251\) | −2.24965 | + | 3.89651i | −0.141997 | + | 0.245945i | −0.928248 | − | 0.371961i | \(-0.878686\pi\) |
0.786252 | + | 0.617906i | \(0.212019\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −2.69726 | − | 4.67179i | −0.169575 | − | 0.293713i | ||||
\(254\) | 3.27749 | − | 1.19291i | 0.205648 | − | 0.0748498i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 2.99340 | − | 2.51176i | 0.187088 | − | 0.156985i | ||||
\(257\) | −10.5219 | + | 8.82895i | −0.656340 | + | 0.550735i | −0.908987 | − | 0.416824i | \(-0.863143\pi\) |
0.252647 | + | 0.967559i | \(0.418699\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 5.48690 | − | 1.99707i | 0.340939 | − | 0.124092i | ||||
\(260\) | 0.0365505 | + | 0.0633073i | 0.00226677 | + | 0.00392615i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −3.22711 | + | 5.58952i | −0.199372 | + | 0.345322i | ||||
\(263\) | 4.20273 | − | 23.8349i | 0.259151 | − | 1.46972i | −0.526036 | − | 0.850462i | \(-0.676322\pi\) |
0.785187 | − | 0.619258i | \(-0.212567\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 2.70727 | + | 0.985365i | 0.166306 | + | 0.0605305i | ||||
\(266\) | −0.0397339 | − | 0.225342i | −0.00243624 | − | 0.0138166i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 15.4360 | + | 12.9523i | 0.942902 | + | 0.791189i | ||||
\(269\) | −12.0062 | −0.732032 | −0.366016 | − | 0.930609i | \(-0.619278\pi\) | ||||
−0.366016 | + | 0.930609i | \(0.619278\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 3.71777 | 0.225839 | 0.112919 | − | 0.993604i | \(-0.463980\pi\) | ||||
0.112919 | + | 0.993604i | \(0.463980\pi\) | |||||||
\(272\) | 7.18547 | + | 6.02933i | 0.435683 | + | 0.365582i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −0.866273 | − | 4.91288i | −0.0523335 | − | 0.296798i | ||||
\(275\) | 0.455505 | + | 0.165790i | 0.0274680 | + | 0.00999753i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −4.07780 | + | 23.1264i | −0.245011 | + | 1.38953i | 0.575455 | + | 0.817833i | \(0.304825\pi\) |
−0.820466 | + | 0.571695i | \(0.806286\pi\) | |||||||
\(278\) | −1.27654 | + | 2.21104i | −0.0765621 | + | 0.132609i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 2.32418 | + | 4.02560i | 0.138897 | + | 0.240576i | ||||
\(281\) | −19.1432 | + | 6.96754i | −1.14199 | + | 0.415649i | −0.842630 | − | 0.538493i | \(-0.818994\pi\) |
−0.299356 | + | 0.954142i | \(0.596772\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 8.88607 | − | 7.45630i | 0.528222 | − | 0.443231i | −0.339265 | − | 0.940691i | \(-0.610178\pi\) |
0.867487 | + | 0.497460i | \(0.165734\pi\) | |||||||
\(284\) | −8.51714 | + | 7.14673i | −0.505399 | + | 0.424080i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0.0367683 | − | 0.0133826i | 0.00217416 | − | 0.000791328i | ||||
\(287\) | 2.42478 | + | 4.19984i | 0.143130 | + | 0.247909i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 3.59280 | − | 6.22291i | 0.211341 | − | 0.366053i | ||||
\(290\) | −1.24771 | + | 7.07610i | −0.0732679 | + | 0.415523i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −0.939253 | − | 0.341860i | −0.0549656 | − | 0.0200058i | ||||
\(293\) | −5.48280 | − | 31.0945i | −0.320308 | − | 1.81656i | −0.540779 | − | 0.841165i | \(-0.681870\pi\) |
0.220470 | − | 0.975394i | \(-0.429241\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −6.28172 | − | 5.27099i | −0.365736 | − | 0.306889i | ||||
\(296\) | −7.03603 | −0.408961 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −0.366782 | −0.0212471 | ||||||||
\(299\) | −0.0143093 | − | 0.0120069i | −0.000827529 | − | 0.000694379i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 1.90376 | + | 10.7968i | 0.109731 | + | 0.622315i | ||||
\(302\) | −3.21131 | − | 1.16882i | −0.184790 | − | 0.0672581i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0.216991 | − | 1.23062i | 0.0124453 | − | 0.0705809i | ||||
\(305\) | 7.65816 | − | 13.2643i | 0.438505 | − | 0.759513i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 4.06027 | + | 7.03259i | 0.231732 | + | 0.401371i | 0.958318 | − | 0.285704i | \(-0.0922275\pi\) |
−0.726586 | + | 0.687075i | \(0.758894\pi\) | |||||||
\(308\) | −11.8178 | + | 4.30134i | −0.673384 | + | 0.245092i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −2.62948 | + | 2.20640i | −0.149344 | + | 0.125315i | ||||
\(311\) | 18.2691 | − | 15.3296i | 1.03594 | − | 0.869259i | 0.0443970 | − | 0.999014i | \(-0.485863\pi\) |
0.991546 | + | 0.129754i | \(0.0414189\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −25.2876 | + | 9.20392i | −1.42934 | + | 0.520236i | −0.936742 | − | 0.350022i | \(-0.886174\pi\) |
−0.492596 | + | 0.870258i | \(0.663952\pi\) | |||||||
\(314\) | −2.60909 | − | 4.51908i | −0.147240 | − | 0.255026i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0.446928 | − | 0.774102i | 0.0251417 | − | 0.0435466i | ||||
\(317\) | 1.44689 | − | 8.20574i | 0.0812657 | − | 0.460881i | −0.916834 | − | 0.399268i | \(-0.869264\pi\) |
0.998100 | − | 0.0616130i | \(-0.0196244\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −38.2606 | − | 13.9257i | −2.14218 | − | 0.779692i | ||||
\(320\) | 1.59640 | + | 9.05361i | 0.0892412 | + | 0.506112i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −0.434435 | − | 0.364534i | −0.0242101 | − | 0.0203147i | ||||
\(323\) | 1.30748 | 0.0727501 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.00167849 | 9.31061e−5 | ||||||||
\(326\) | 1.05494 | + | 0.885201i | 0.0584278 | + | 0.0490268i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −1.01475 | − | 5.75493i | −0.0560301 | − | 0.317763i | ||||
\(329\) | 8.80173 | + | 3.20357i | 0.485255 | + | 0.176618i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −1.11487 | + | 6.32272i | −0.0612786 | + | 0.347528i | 0.938717 | + | 0.344688i | \(0.112015\pi\) |
−0.999996 | + | 0.00284030i | \(0.999096\pi\) | |||||||
\(332\) | −4.21548 | + | 7.30143i | −0.231355 | + | 0.400718i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −4.27161 | − | 7.39865i | −0.233732 | − | 0.404836i | ||||
\(335\) | −22.9533 | + | 8.35432i | −1.25407 | + | 0.456446i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 5.72610 | − | 4.80477i | 0.311921 | − | 0.261732i | −0.473365 | − | 0.880867i | \(-0.656961\pi\) |
0.785285 | + | 0.619134i | \(0.212516\pi\) | |||||||
\(338\) | −4.13735 | + | 3.47165i | −0.225042 | + | 0.188833i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −11.9168 | + | 4.33735i | −0.646278 | + | 0.235226i | ||||
\(341\) | −9.72545 | − | 16.8450i | −0.526663 | − | 0.912206i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −8.08839 | + | 14.0095i | −0.436732 | + | 0.756442i | ||||
\(344\) | 2.29403 | − | 13.0101i | 0.123686 | − | 0.701456i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 5.47874 | + | 1.99410i | 0.294539 | + | 0.107203i | ||||
\(347\) | 5.46202 | + | 30.9766i | 0.293216 | + | 1.66291i | 0.674364 | + | 0.738399i | \(0.264418\pi\) |
−0.381148 | + | 0.924514i | \(0.624471\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 9.07988 | + | 7.61893i | 0.486035 | + | 0.407832i | 0.852603 | − | 0.522560i | \(-0.175023\pi\) |
−0.366568 | + | 0.930391i | \(0.619467\pi\) | |||||||
\(350\) | 0.0509595 | 0.00272390 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 23.0733 | 1.22981 | ||||||||
\(353\) | 6.28699 | + | 5.27541i | 0.334623 | + | 0.280782i | 0.794580 | − | 0.607159i | \(-0.207691\pi\) |
−0.459958 | + | 0.887941i | \(0.652135\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −2.34040 | − | 13.2731i | −0.124215 | − | 0.704461i | ||||
\(356\) | 5.79217 | + | 2.10818i | 0.306984 | + | 0.111733i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −0.735157 | + | 4.16928i | −0.0388542 | + | 0.220353i | ||||
\(359\) | 8.86365 | − | 15.3523i | 0.467806 | − | 0.810263i | −0.531517 | − | 0.847047i | \(-0.678378\pi\) |
0.999323 | + | 0.0367840i | \(0.0117114\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 9.41291 | + | 16.3036i | 0.495416 | + | 0.858086i | ||||
\(362\) | −9.39122 | + | 3.41812i | −0.493591 | + | 0.179653i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −0.0333594 | + | 0.0279919i | −0.00174851 | + | 0.00146717i | ||||
\(365\) | 0.928176 | − | 0.778832i | 0.0485829 | − | 0.0407659i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 19.0941 | − | 6.94969i | 0.996704 | − | 0.362771i | 0.208392 | − | 0.978045i | \(-0.433177\pi\) |
0.788313 | + | 0.615275i | \(0.210955\pi\) | |||||||
\(368\) | −1.54854 | − | 2.68215i | −0.0807232 | − | 0.139817i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 2.03613 | − | 3.52668i | 0.105853 | − | 0.183343i | ||||
\(371\) | −0.298028 | + | 1.69020i | −0.0154728 | + | 0.0877509i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 9.09758 | + | 3.31125i | 0.471055 | + | 0.171450i | 0.566630 | − | 0.823972i | \(-0.308247\pi\) |
−0.0955754 | + | 0.995422i | \(0.530469\pi\) | |||||||
\(374\) | 1.17871 | + | 6.68481i | 0.0609498 | + | 0.345663i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −8.64615 | − | 7.25498i | −0.445891 | − | 0.374147i | ||||
\(377\) | −0.140987 | −0.00726119 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −4.12905 | −0.212095 | −0.106048 | − | 0.994361i | \(-0.533820\pi\) | ||||
−0.106048 | + | 0.994361i | \(0.533820\pi\) | |||||||
\(380\) | 1.29419 | + | 1.08595i | 0.0663905 | + | 0.0557083i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −0.789725 | − | 4.47876i | −0.0404059 | − | 0.229153i | ||||
\(383\) | 4.46371 | + | 1.62466i | 0.228085 | + | 0.0830162i | 0.453535 | − | 0.891239i | \(-0.350163\pi\) |
−0.225450 | + | 0.974255i | \(0.572385\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 2.64729 | − | 15.0136i | 0.134919 | − | 0.765162i | ||||
\(386\) | 2.24476 | − | 3.88803i | 0.114255 | − | 0.197896i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 9.08336 | + | 15.7328i | 0.461138 | + | 0.798714i | ||||
\(389\) | −20.4978 | + | 7.46059i | −1.03928 | + | 0.378267i | −0.804607 | − | 0.593807i | \(-0.797624\pi\) |
−0.234673 | + | 0.972074i | \(0.575402\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 2.48238 | − | 2.08297i | 0.125539 | − | 0.105340i | ||||
\(392\) | 6.40561 | − | 5.37495i | 0.323532 | − | 0.271476i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −8.61767 | + | 3.13658i | −0.434152 | + | 0.158018i | ||||
\(395\) | 0.541773 | + | 0.938378i | 0.0272595 | + | 0.0472149i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 17.4245 | − | 30.1802i | 0.874512 | − | 1.51470i | 0.0172294 | − | 0.999852i | \(-0.494515\pi\) |
0.857282 | − | 0.514847i | \(-0.172151\pi\) | |||||||
\(398\) | 0.929715 | − | 5.27268i | 0.0466024 | − | 0.264295i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0.261513 | + | 0.0951829i | 0.0130756 | + | 0.00475914i | ||||
\(401\) | 3.26911 | + | 18.5401i | 0.163252 | + | 0.925847i | 0.950849 | + | 0.309656i | \(0.100214\pi\) |
−0.787597 | + | 0.616191i | \(0.788675\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −0.0515948 | − | 0.0432932i | −0.00257012 | − | 0.00215659i | ||||
\(404\) | 25.2170 | 1.25459 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −4.28040 | −0.212433 | ||||||||
\(407\) | 17.6772 | + | 14.8329i | 0.876226 | + | 0.735241i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −1.10439 | − | 6.26334i | −0.0546088 | − | 0.309702i | 0.945253 | − | 0.326339i | \(-0.105815\pi\) |
−0.999862 | + | 0.0166371i | \(0.994704\pi\) | |||||||
\(410\) | 3.17821 | + | 1.15677i | 0.156960 | + | 0.0571289i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −1.44862 | + | 8.21551i | −0.0713682 | + | 0.404749i | ||||
\(413\) | 2.44251 | − | 4.23055i | 0.120188 | − | 0.208172i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −5.11007 | − | 8.85090i | −0.250843 | − | 0.434474i | ||||
\(416\) | 0.0750772 | − | 0.0273259i | 0.00368096 | − | 0.00133976i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.692727 | − | 0.581267i | 0.0338824 | − | 0.0284307i | ||||
\(419\) | 18.6286 | − | 15.6313i | 0.910069 | − | 0.763638i | −0.0620632 | − | 0.998072i | \(-0.519768\pi\) |
0.972132 | + | 0.234434i | \(0.0753236\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 7.50818 | − | 2.73275i | 0.365926 | − | 0.133186i | −0.152511 | − | 0.988302i | \(-0.548736\pi\) |
0.518438 | + | 0.855115i | \(0.326514\pi\) | |||||||
\(422\) | 4.98469 | + | 8.63373i | 0.242651 | + | 0.420283i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 1.03405 | − | 1.79103i | 0.0502181 | − | 0.0869803i | ||||
\(425\) | −0.0505638 | + | 0.286762i | −0.00245271 | + | 0.0139100i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 8.57397 | + | 3.12067i | 0.414924 | + | 0.151020i | ||||
\(428\) | −3.58462 | − | 20.3294i | −0.173269 | − | 0.982659i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 5.85720 | + | 4.91477i | 0.282459 | + | 0.237011i | ||||
\(431\) | −9.87124 | −0.475481 | −0.237740 | − | 0.971329i | \(-0.576407\pi\) | ||||
−0.237740 | + | 0.971329i | \(0.576407\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −6.10369 | −0.293325 | −0.146662 | − | 0.989187i | \(-0.546853\pi\) | ||||
−0.146662 | + | 0.989187i | \(0.546853\pi\) | |||||||
\(434\) | −1.56643 | − | 1.31439i | −0.0751911 | − | 0.0630928i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −4.60219 | − | 26.1003i | −0.220405 | − | 1.24998i | ||||
\(437\) | −0.405669 | − | 0.147651i | −0.0194058 | − | 0.00706312i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −2.62800 | + | 14.9041i | −0.125427 | + | 0.711334i | 0.855626 | + | 0.517595i | \(0.173173\pi\) |
−0.981053 | + | 0.193739i | \(0.937938\pi\) | |||||||
\(440\) | −9.18520 | + | 15.9092i | −0.437887 | + | 0.758443i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0.0117522 | + | 0.0203554i | 0.000558996 | + | 0.000968210i | ||||
\(443\) | −0.679204 | + | 0.247210i | −0.0322699 | + | 0.0117453i | −0.358105 | − | 0.933681i | \(-0.616577\pi\) |
0.325835 | + | 0.945427i | \(0.394355\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −5.72386 | + | 4.80289i | −0.271337 | + | 0.227679i | ||||
\(446\) | 6.89432 | − | 5.78502i | 0.326456 | − | 0.273929i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −5.14633 | + | 1.87311i | −0.243141 | + | 0.0884962i | ||||
\(449\) | 0.834224 | + | 1.44492i | 0.0393695 | + | 0.0681899i | 0.885039 | − | 0.465517i | \(-0.154132\pi\) |
−0.845669 | + | 0.533707i | \(0.820798\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −9.58275 | + | 16.5978i | −0.451234 | + | 0.781560i | ||||
\(452\) | 3.98507 | − | 22.6005i | 0.187442 | − | 1.06304i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 8.44922 | + | 3.07526i | 0.396541 | + | 0.144329i | ||||
\(455\) | −0.00916673 | − | 0.0519871i | −0.000429743 | − | 0.00243719i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 8.49041 | + | 7.12430i | 0.397165 | + | 0.333261i | 0.819397 | − | 0.573227i | \(-0.194309\pi\) |
−0.422232 | + | 0.906488i | \(0.638753\pi\) | |||||||
\(458\) | −4.48926 | −0.209769 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 4.18720 | 0.195229 | ||||||||
\(461\) | 16.7644 | + | 14.0670i | 0.780797 | + | 0.655166i | 0.943449 | − | 0.331517i | \(-0.107561\pi\) |
−0.162653 | + | 0.986683i | \(0.552005\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 4.31546 | + | 24.4742i | 0.200556 | + | 1.13741i | 0.904281 | + | 0.426938i | \(0.140408\pi\) |
−0.703724 | + | 0.710473i | \(0.748481\pi\) | |||||||
\(464\) | −21.9660 | − | 7.99499i | −1.01975 | − | 0.371158i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −0.551115 | + | 3.12553i | −0.0255299 | + | 0.144787i | ||||
\(467\) | −5.91777 | + | 10.2499i | −0.273842 | + | 0.474308i | −0.969842 | − | 0.243734i | \(-0.921628\pi\) |
0.696001 | + | 0.718041i | \(0.254961\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −7.27564 | − | 12.6018i | −0.335958 | − | 0.581896i | ||||
\(470\) | 6.13850 | − | 2.23423i | 0.283148 | − | 0.103057i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −4.50927 | + | 3.78373i | −0.207556 | + | 0.174160i | ||||
\(473\) | −33.1905 | + | 27.8501i | −1.52610 | + | 1.28055i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0.0364524 | − | 0.0132676i | 0.00167255 | − | 0.000608759i | ||||
\(476\) | −3.77733 | − | 6.54252i | −0.173134 | − | 0.299876i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −0.671288 | + | 1.16270i | −0.0307040 | + | 0.0531809i | ||||
\(479\) | −0.501383 | + | 2.84349i | −0.0229088 | + | 0.129922i | −0.994117 | − | 0.108309i | \(-0.965456\pi\) |
0.971209 | + | 0.238231i | \(0.0765676\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0.0750857 | + | 0.0273290i | 0.00342361 | + | 0.00124609i | ||||
\(482\) | −1.91508 | − | 10.8610i | −0.0872297 | − | 0.494704i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −22.6752 | − | 19.0267i | −1.03069 | − | 0.864852i | ||||
\(485\) | −22.0220 | −0.999966 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 8.75903 | 0.396910 | 0.198455 | − | 0.980110i | \(-0.436408\pi\) | ||||
0.198455 | + | 0.980110i | \(0.436408\pi\) | |||||||
\(488\) | −8.42241 | − | 7.06724i | −0.381265 | − | 0.319919i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0.840397 | + | 4.76613i | 0.0379653 | + | 0.215312i | ||||
\(491\) | −21.2117 | − | 7.72044i | −0.957272 | − | 0.348418i | −0.184308 | − | 0.982869i | \(-0.559004\pi\) |
−0.772964 | + | 0.634450i | \(0.781227\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 4.24716 | − | 24.0869i | 0.191283 | − | 1.08482i | ||||
\(494\) | 0.00156564 | − | 0.00271176i | 7.04413e−5 | − | 0.000122008i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −5.58354 | − | 9.67097i | −0.250708 | − | 0.434239i | ||||
\(497\) | 7.54478 | − | 2.74608i | 0.338430 | − | 0.123178i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −19.4061 | + | 16.2836i | −0.868734 | + | 0.728955i | −0.963831 | − | 0.266513i | \(-0.914128\pi\) |
0.0950968 | + | 0.995468i | \(0.469684\pi\) | |||||||
\(500\) | −15.7930 | + | 13.2519i | −0.706284 | + | 0.592642i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −1.75657 | + | 0.639340i | −0.0783997 | + | 0.0285352i | ||||
\(503\) | 1.87207 | + | 3.24252i | 0.0834714 | + | 0.144577i | 0.904739 | − | 0.425967i | \(-0.140066\pi\) |
−0.821267 | + | 0.570543i | \(0.806733\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −15.2842 | + | 26.4731i | −0.680139 | + | 1.17804i | ||||
\(506\) | 0.389187 | − | 2.20719i | 0.0173015 | − | 0.0981216i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −14.4157 | − | 5.24690i | −0.639595 | − | 0.232793i | ||||
\(509\) | −4.22831 | − | 23.9800i | −0.187417 | − | 1.06289i | −0.922811 | − | 0.385253i | \(-0.874114\pi\) |
0.735394 | − | 0.677640i | \(-0.236997\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0.552932 | + | 0.463965i | 0.0244603 | + | 0.0205246i | ||||
\(512\) | 22.7690 | 1.00626 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −5.70660 | −0.251707 | ||||||||
\(515\) | −7.74669 | − | 6.50025i | −0.341360 | − | 0.286435i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 6.42792 | + | 36.4546i | 0.282700 | + | 1.60327i | ||||
\(518\) | 2.27962 | + | 0.829715i | 0.100161 | + | 0.0364556i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −0.0110459 | + | 0.0626444i | −0.000484395 | + | 0.00274714i | ||||
\(521\) | 9.81046 | − | 16.9922i | 0.429804 | − | 0.744443i | −0.567051 | − | 0.823682i | \(-0.691916\pi\) |
0.996856 | + | 0.0792397i | \(0.0252492\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −10.4077 | − | 18.0267i | −0.455097 | − | 0.788251i | 0.543597 | − | 0.839346i | \(-0.317062\pi\) |
−0.998694 | + | 0.0510956i | \(0.983729\pi\) | |||||||
\(524\) | 26.6763 | − | 9.70937i | 1.16536 | − | 0.424156i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 7.70284 | − | 6.46345i | 0.335860 | − | 0.281820i | ||||
\(527\) | 8.95067 | − | 7.51051i | 0.389897 | − | 0.327163i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 20.6075 | − | 7.50052i | 0.895978 | − | 0.326109i | ||||
\(530\) | 0.598482 | + | 1.03660i | 0.0259964 | + | 0.0450271i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −0.503217 | + | 0.871598i | −0.0218172 | + | 0.0377886i | ||||
\(533\) | −0.0115240 | + | 0.0653558i | −0.000499159 | + | 0.00283087i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 23.5147 | + | 8.55864i | 1.01663 | + | 0.370022i | ||||
\(536\) | 3.04479 | + | 17.2679i | 0.131515 | + | 0.745859i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −3.82117 | − | 3.20634i | −0.164742 | − | 0.138235i | ||||
\(539\) | −27.4245 | −1.18126 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −30.6272 | −1.31676 | −0.658382 | − | 0.752684i | \(-0.728759\pi\) | ||||
−0.658382 | + | 0.752684i | \(0.728759\pi\) | |||||||
\(542\) | 1.18324 | + | 0.992856i | 0.0508245 | + | 0.0426468i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 2.40681 | + | 13.6497i | 0.103191 | + | 0.585227i | ||||
\(545\) | 30.1898 | + | 10.9882i | 1.29319 | + | 0.470682i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 3.93273 | − | 22.3036i | 0.168151 | − | 0.953633i | −0.777604 | − | 0.628754i | \(-0.783565\pi\) |
0.945756 | − | 0.324879i | \(-0.105324\pi\) | |||||||
\(548\) | −10.9711 | + | 19.0025i | −0.468661 | + | 0.811745i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0.100696 | + | 0.174411i | 0.00429370 | + | 0.00743691i | ||||
\(551\) | −3.06186 | + | 1.11443i | −0.130440 | + | 0.0474761i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −0.494473 | + | 0.414912i | −0.0210271 | + | 0.0176439i | ||||
\(554\) | −7.47387 | + | 6.27132i | −0.317534 | + | 0.266443i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 10.5523 | − | 3.84072i | 0.447517 | − | 0.162883i | ||||
\(557\) | 18.2259 | + | 31.5682i | 0.772256 | + | 1.33759i | 0.936324 | + | 0.351138i | \(0.114205\pi\) |
−0.164067 | + | 0.986449i | \(0.552461\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −0.0750139 | + | 0.129928i | −0.00317275 | + | 0.00549537i | ||||
\(560\) | 1.51985 | − | 8.61952i | 0.0642256 | − | 0.364241i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −7.95334 | − | 2.89478i | −0.335491 | − | 0.122109i | ||||
\(563\) | −4.60450 | − | 26.1134i | −0.194056 | − | 1.10055i | −0.913756 | − | 0.406263i | \(-0.866832\pi\) |
0.719700 | − | 0.694285i | \(-0.244279\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 21.3108 | + | 17.8819i | 0.896552 | + | 0.752296i | ||||
\(566\) | 4.81938 | 0.202574 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −9.67492 | −0.405950 | ||||||||
\(569\) | −17.5941 | − | 14.7632i | −0.737581 | − | 0.618904i | 0.194606 | − | 0.980882i | \(-0.437657\pi\) |
−0.932187 | + | 0.361978i | \(0.882102\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −0.833165 | − | 4.72511i | −0.0348669 | − | 0.197740i | 0.962399 | − | 0.271641i | \(-0.0875662\pi\) |
−0.997266 | + | 0.0739009i | \(0.976455\pi\) | |||||||
\(572\) | −0.161722 | − | 0.0588619i | −0.00676193 | − | 0.00246114i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −0.349871 | + | 1.98422i | −0.0146033 | + | 0.0828197i | ||||
\(575\) | 0.0480718 | − | 0.0832628i | 0.00200473 | − | 0.00347230i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 2.15666 | + | 3.73545i | 0.0897831 | + | 0.155509i | 0.907419 | − | 0.420226i | \(-0.138049\pi\) |
−0.817636 | + | 0.575735i | \(0.804716\pi\) | |||||||
\(578\) | 2.80533 | − | 1.02106i | 0.116686 | − | 0.0424704i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 24.2098 | − | 20.3145i | 1.00526 | − | 0.843512i | ||||
\(581\) | 4.66393 | − | 3.91351i | 0.193493 | − | 0.162360i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −6.37369 | + | 2.31983i | −0.263971 | + | 0.0960777i | ||||
\(584\) | −0.434885 | − | 0.753242i | −0.0179957 | − | 0.0311694i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 6.55900 | − | 11.3605i | 0.270950 | − | 0.469299i | ||||
\(587\) | −7.26235 | + | 41.1868i | −0.299749 | + | 1.69996i | 0.347497 | + | 0.937681i | \(0.387032\pi\) |
−0.647246 | + | 0.762281i | \(0.724079\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −1.46271 | − | 0.532383i | −0.0602699 | − | 0.0219365i | ||||
\(590\) | −0.591603 | − | 3.35515i | −0.0243559 | − | 0.138129i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 10.1488 | + | 8.51582i | 0.417111 | + | 0.349998i | ||||
\(593\) | 31.5370 | 1.29507 | 0.647536 | − | 0.762035i | \(-0.275800\pi\) | ||||
0.647536 | + | 0.762035i | \(0.275800\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 9.15786 | 0.375436 | ||||||||
\(596\) | 1.23583 | + | 1.03698i | 0.0506214 | + | 0.0424764i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −0.00134763 | − | 0.00764279i | −5.51087e−5 | − | 0.000312537i | ||||
\(599\) | −11.8686 | − | 4.31982i | −0.484938 | − | 0.176503i | 0.0879695 | − | 0.996123i | \(-0.471962\pi\) |
−0.572907 | + | 0.819620i | \(0.694184\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 3.56725 | − | 20.2309i | 0.145511 | − | 0.825235i | −0.821444 | − | 0.570289i | \(-0.806831\pi\) |
0.966955 | − | 0.254946i | \(-0.0820577\pi\) | |||||||
\(602\) | −2.27744 | + | 3.94465i | −0.0928216 | + | 0.160772i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 7.51556 | + | 13.0173i | 0.305804 | + | 0.529668i | ||||
\(605\) | 33.7180 | − | 12.2724i | 1.37083 | − | 0.498942i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 9.89160 | − | 8.30003i | 0.401487 | − | 0.336888i | −0.419581 | − | 0.907718i | \(-0.637823\pi\) |
0.821068 | + | 0.570830i | \(0.193378\pi\) | |||||||
\(608\) | 1.41448 | − | 1.18689i | 0.0573648 | − | 0.0481348i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 5.97966 | − | 2.17642i | 0.242109 | − | 0.0881205i | ||||
\(611\) | 0.0640889 | + | 0.111005i | 0.00259276 | + | 0.00449079i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 15.5799 | − | 26.9851i | 0.629265 | − | 1.08992i | −0.358434 | − | 0.933555i | \(-0.616689\pi\) |
0.987699 | − | 0.156364i | \(-0.0499774\pi\) | |||||||
\(614\) | −0.585856 | + | 3.32255i | −0.0236432 | + | 0.134087i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −10.2836 | − | 3.74293i | −0.414339 | − | 0.150807i | ||||
\(617\) | 1.23998 | + | 7.03230i | 0.0499199 | + | 0.283110i | 0.999541 | − | 0.0302901i | \(-0.00964312\pi\) |
−0.949621 | + | 0.313400i | \(0.898532\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −7.68412 | − | 6.44774i | −0.308851 | − | 0.259157i | 0.475166 | − | 0.879896i | \(-0.342388\pi\) |
−0.784017 | + | 0.620740i | \(0.786832\pi\) | |||||||
\(620\) | 15.0977 | 0.606338 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 9.90827 | 0.397285 | ||||||||
\(623\) | −3.40981 | − | 2.86117i | −0.136611 | − | 0.114630i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −4.25900 | − | 24.1540i | −0.170360 | − | 0.966160i | ||||
\(626\) | −10.5061 | − | 3.82392i | −0.419909 | − | 0.152835i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −3.98552 | + | 22.6030i | −0.159039 | + | 0.901957i | ||||
\(629\) | −6.93093 | + | 12.0047i | −0.276354 | + | 0.478660i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 3.53780 | + | 6.12765i | 0.140838 | + | 0.243938i | 0.927812 | − | 0.373047i | \(-0.121687\pi\) |
−0.786975 | + | 0.616985i | \(0.788354\pi\) | |||||||
\(632\) | 0.730905 | − | 0.266028i | 0.0290738 | − | 0.0105820i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 2.65189 | − | 2.22520i | 0.105320 | − | 0.0883741i | ||||
\(635\) | 14.2457 | − | 11.9536i | 0.565324 | − | 0.474363i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −0.0892352 | + | 0.0324790i | −0.00353563 | + | 0.00128686i | ||||
\(638\) | −8.45809 | − | 14.6498i | −0.334859 | − | 0.579993i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −11.7103 | + | 20.2828i | −0.462890 | + | 0.801750i | ||||
\(641\) | 0.870188 | − | 4.93508i | 0.0343704 | − | 0.194924i | −0.962788 | − | 0.270258i | \(-0.912891\pi\) |
0.997158 | + | 0.0753337i | \(0.0240022\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −1.53960 | − | 0.560367i | −0.0607157 | − | 0.0220987i | 0.311484 | − | 0.950251i | \(-0.399174\pi\) |
−0.372199 | + | 0.928153i | \(0.621396\pi\) | |||||||
\(644\) | 0.433147 | + | 2.45650i | 0.0170684 | + | 0.0967997i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0.416126 | + | 0.349171i | 0.0163722 | + | 0.0137379i | ||||
\(647\) | −34.4927 | −1.35605 | −0.678024 | − | 0.735040i | \(-0.737164\pi\) | ||||
−0.678024 | + | 0.735040i | \(0.737164\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 19.3056 | 0.757813 | ||||||||
\(650\) | 0.000534207 | 0 | 0.000448253i | 2.09533e−5 | 0 | 1.75819e-5i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −1.05182 | − | 5.96515i | −0.0411923 | − | 0.233613i | ||||
\(653\) | 36.4230 | + | 13.2569i | 1.42534 | + | 0.518783i | 0.935593 | − | 0.353080i | \(-0.114866\pi\) |
0.489751 | + | 0.871862i | \(0.337088\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −5.97570 | + | 33.8899i | −0.233490 | + | 1.32419i | ||||
\(656\) | −5.50161 | + | 9.52907i | −0.214802 | + | 0.372048i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 1.94575 | + | 3.37015i | 0.0758534 | + | 0.131382i | ||||
\(659\) | 8.82552 | − | 3.21223i | 0.343794 | − | 0.125131i | −0.164352 | − | 0.986402i | \(-0.552553\pi\) |
0.508146 | + | 0.861271i | \(0.330331\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −18.4980 | + | 15.5217i | −0.719489 | + | 0.603723i | −0.927244 | − | 0.374458i | \(-0.877829\pi\) |
0.207755 | + | 0.978181i | \(0.433384\pi\) | |||||||
\(662\) | −2.04335 | + | 1.71457i | −0.0794169 | + | 0.0666387i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −6.89399 | + | 2.50921i | −0.267539 | + | 0.0973761i | ||||
\(665\) | −0.610007 | − | 1.05656i | −0.0236551 | − | 0.0409718i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −4.03784 | + | 6.99375i | −0.156346 | + | 0.270799i | ||||
\(668\) | −6.52510 | + | 37.0057i | −0.252464 | + | 1.43179i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −9.53633 | − | 3.47094i | −0.368421 | − | 0.134094i | ||||
\(671\) | 6.26159 | + | 35.5112i | 0.241726 | + | 1.37090i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −20.2742 | − | 17.0121i | −0.781514 | − | 0.655768i | 0.162115 | − | 0.986772i | \(-0.448168\pi\) |
−0.943630 | + | 0.331003i | \(0.892613\pi\) | |||||||
\(674\) | 3.10557 | 0.119622 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 23.7554 | 0.913671 | ||||||||
\(677\) | −23.7986 | − | 19.9694i | −0.914654 | − | 0.767486i | 0.0583448 | − | 0.998296i | \(-0.481418\pi\) |
−0.972999 | + | 0.230811i | \(0.925862\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −2.27807 | − | 12.9196i | −0.0874245 | − | 0.495809i | ||||
\(680\) | −10.3697 | − | 3.77426i | −0.397660 | − | 0.144736i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 1.40328 | − | 7.95842i | 0.0537345 | − | 0.304744i | ||||
\(683\) | 19.0681 | − | 33.0268i | 0.729619 | − | 1.26374i | −0.227425 | − | 0.973796i | \(-0.573031\pi\) |
0.957044 | − | 0.289942i | \(-0.0936359\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −13.2993 | − | 23.0351i | −0.508140 | − | 0.880125i | ||||
\(686\) | −6.31558 | + | 2.29868i | −0.241130 | + | 0.0877642i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −19.0552 | + | 15.9892i | −0.726472 | + | 0.609583i | ||||
\(689\) | −0.0179917 | + | 0.0150968i | −0.000685428 | + | 0.000575142i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −30.9436 | + | 11.2626i | −1.17715 | + | 0.428448i | −0.855195 | − | 0.518306i | \(-0.826563\pi\) |
−0.321957 | + | 0.946754i | \(0.604341\pi\) | |||||||
\(692\) | −12.8221 | − | 22.2085i | −0.487424 | − | 0.844242i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −6.53414 | + | 11.3175i | −0.248033 | + | 0.429605i | ||||
\(695\) | −2.36380 | + | 13.4058i | −0.0896641 | + | 0.508510i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −10.8185 | − | 3.93762i | −0.409781 | − | 0.149148i | ||||
\(698\) | 0.855130 | + | 4.84968i | 0.0323672 | + | 0.183563i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −0.171702 | − | 0.144075i | −0.00648971 | − | 0.00544551i | ||||
\(701\) | 2.30710 | 0.0871381 | 0.0435690 | − | 0.999050i | \(-0.486127\pi\) | ||||
0.0435690 | + | 0.999050i | \(0.486127\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 1.84668 | 0.0696490 | ||||||||
\(704\) | −16.5800 | − | 13.9123i | −0.624881 | − | 0.524338i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0.592100 | + | 3.35796i | 0.0222840 | + | 0.126379i | ||||
\(707\) | −17.1120 | − | 6.22826i | −0.643563 | − | 0.234238i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −1.93654 | + | 10.9826i | −0.0727281 | + | 0.412462i | 0.926608 | + | 0.376029i | \(0.122711\pi\) |
−0.999336 | + | 0.0364329i | \(0.988400\pi\) | |||||||
\(710\) | 2.79979 | − | 4.84937i | 0.105074 | − | 0.181994i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 2.68184 | + | 4.64508i | 0.100506 | + | 0.174082i | ||||
\(713\) | −3.62525 | + | 1.31948i | −0.135767 | + | 0.0494151i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0.159815 | − | 0.134100i | 0.00597673 | − | 0.00501507i | ||||
\(716\) | 14.2646 | − | 11.9694i | 0.533092 | − | 0.447317i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 6.92093 | − | 2.51901i | 0.258287 | − | 0.0940087i | ||||
\(719\) | −16.0850 | − | 27.8600i | −0.599869 | − | 1.03900i | −0.992840 | − | 0.119453i | \(-0.961886\pi\) |
0.392971 | − | 0.919551i | \(-0.371447\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 3.01213 | − | 5.21717i | 0.112178 | − | 0.194297i | ||||
\(722\) | −1.35819 | + | 7.70267i | −0.0505465 | + | 0.286664i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 41.3064 | + | 15.0343i | 1.53514 | + | 0.558745i | ||||
\(725\) | −0.126010 | − | 0.714637i | −0.00467989 | − | 0.0265410i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −4.11022 | − | 3.44888i | −0.152440 | − | 0.127912i | 0.563378 | − | 0.826199i | \(-0.309501\pi\) |
−0.715818 | + | 0.698287i | \(0.753946\pi\) | |||||||
\(728\) | −0.0378942 | −0.00140445 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0.503399 | 0.0186316 | ||||||||
\(731\) | −19.9377 | − | 16.7297i | −0.737424 | − | 0.618772i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −2.53463 | − | 14.3746i | −0.0936187 | − | 0.530938i | −0.995162 | − | 0.0982489i | \(-0.968676\pi\) |
0.901543 | − | 0.432689i | \(-0.142435\pi\) | |||||||
\(734\) | 7.93296 | + | 2.88736i | 0.292811 | + | 0.106574i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0.794682 | − | 4.50687i | 0.0292924 | − | 0.166125i | ||||
\(737\) | 28.7534 | − | 49.8023i | 1.05915 | − | 1.83449i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 21.6083 | + | 37.4266i | 0.794873 | + | 1.37676i | 0.922920 | + | 0.384992i | \(0.125796\pi\) |
−0.128047 | + | 0.991768i | \(0.540871\pi\) | |||||||
\(740\) | −16.8312 | + | 6.12607i | −0.618729 | + | 0.225199i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −0.546231 | + | 0.458343i | −0.0200528 | + | 0.0168263i | ||||
\(743\) | −6.21431 | + | 5.21443i | −0.227981 | + | 0.191299i | −0.749622 | − | 0.661866i | \(-0.769765\pi\) |
0.521641 | + | 0.853165i | \(0.325320\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −1.83767 | + | 0.668859i | −0.0673272 | + | 0.0245051i | ||||
\(746\) | 2.01116 | + | 3.48342i | 0.0736336 | + | 0.127537i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 14.9280 | − | 25.8561i | 0.545823 | − | 0.945393i | ||||
\(749\) | −2.58860 | + | 14.6807i | −0.0945854 | + | 0.536420i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −8.22744 | − | 2.99454i | −0.300223 | − | 0.109272i | 0.187516 | − | 0.982261i | \(-0.439956\pi\) |
−0.487740 | + | 0.872989i | \(0.662178\pi\) | |||||||
\(752\) | 3.69037 | + | 20.9291i | 0.134574 | + | 0.763207i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −0.0448713 | − | 0.0376515i | −0.00163412 | − | 0.00137119i | ||||
\(755\) | −18.2210 | −0.663129 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −32.1511 | −1.16855 | −0.584276 | − | 0.811555i | \(-0.698622\pi\) | ||||
−0.584276 | + | 0.811555i | \(0.698622\pi\) | |||||||
\(758\) | −1.31414 | − | 1.10269i | −0.0477316 | − | 0.0400515i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0.255283 | + | 1.44778i | 0.00926008 | + | 0.0525165i | ||||
\(761\) | −23.0656 | − | 8.39520i | −0.836128 | − | 0.304326i | −0.111756 | − | 0.993736i | \(-0.535648\pi\) |
−0.724371 | + | 0.689410i | \(0.757870\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −3.32342 | + | 18.8481i | −0.120316 | + | 0.682346i | ||||
\(764\) | −10.0016 | + | 17.3233i | −0.361846 | + | 0.626736i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0.986770 | + | 1.70914i | 0.0356535 | + | 0.0617536i | ||||
\(767\) | 0.0628177 | − | 0.0228638i | 0.00226822 | − | 0.000825563i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 24.0648 | − | 20.1928i | 0.867800 | − | 0.728170i | −0.0958338 | − | 0.995397i | \(-0.530552\pi\) |
0.963634 | + | 0.267227i | \(0.0861073\pi\) | |||||||
\(770\) | 4.85201 | − | 4.07132i | 0.174854 | − | 0.146720i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −18.5558 | + | 6.75377i | −0.667839 | + | 0.243073i | ||||
\(773\) | 14.3573 | + | 24.8675i | 0.516395 | + | 0.894422i | 0.999819 | + | 0.0190355i | \(0.00605954\pi\) |
−0.483424 | + | 0.875386i | \(0.660607\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0.173332 | − | 0.300219i | 0.00622625 | − | 0.0107842i | ||||
\(776\) | −2.74507 | + | 15.5681i | −0.0985424 | + | 0.558862i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −8.51615 | − | 3.09962i | −0.305319 | − | 0.111127i | ||||
\(779\) | 0.266332 | + | 1.51044i | 0.00954233 | + | 0.0541173i |