Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [675,2,Mod(49,675)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(675, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([14, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("675.49");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 675 = 3^{3} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 675.u (of order \(18\), 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: | \(5.38990213644\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{18})\) |
Twist minimal: | no (minimal twist has level 27) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 124.3 | ||
Character | \(\chi\) | \(=\) | 675.124 |
Dual form | 675.2.u.b.49.3 |
$q$-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 \(\left(\mathbb{Z}/675\mathbb{Z}\right)^\times\).
\(n\) | \(326\) | \(352\) |
\(\chi(n)\) | \(e\left(\frac{2}{9}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.267057 | − | 0.318266i | 0.188837 | − | 0.225048i | −0.663316 | − | 0.748339i | \(-0.730852\pi\) |
0.852154 | + | 0.523291i | \(0.175296\pi\) | |||||||
\(3\) | 1.72466 | − | 0.159815i | 0.995734 | − | 0.0922690i | ||||
\(4\) | 0.317323 | + | 1.79963i | 0.158661 | + | 0.899813i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 0.409719 | − | 0.591580i | 0.167267 | − | 0.241512i | ||||
\(7\) | −1.29958 | − | 0.229151i | −0.491195 | − | 0.0866110i | −0.0774361 | − | 0.996997i | \(-0.524673\pi\) |
−0.413759 | + | 0.910386i | \(0.635784\pi\) | |||||||
\(8\) | 1.37711 | + | 0.795075i | 0.486882 | + | 0.281102i | ||||
\(9\) | 2.94892 | − | 0.551252i | 0.982973 | − | 0.183751i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 4.90067 | − | 1.78370i | 1.47761 | − | 0.537805i | 0.527454 | − | 0.849584i | \(-0.323147\pi\) |
0.950155 | + | 0.311778i | \(0.100925\pi\) | |||||||
\(12\) | 0.834881 | + | 3.05303i | 0.241009 | + | 0.881335i | ||||
\(13\) | 0.0116078 | + | 0.0138336i | 0.00321942 | + | 0.00383676i | 0.767652 | − | 0.640867i | \(-0.221425\pi\) |
−0.764432 | + | 0.644704i | \(0.776981\pi\) | |||||||
\(14\) | −0.419993 | + | 0.352416i | −0.112248 | + | 0.0941870i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −2.81355 | + | 1.02405i | −0.703389 | + | 0.256012i | ||||
\(17\) | −2.71308 | + | 1.56640i | −0.658019 | + | 0.379907i | −0.791522 | − | 0.611141i | \(-0.790711\pi\) |
0.133503 | + | 0.991048i | \(0.457377\pi\) | |||||||
\(18\) | 0.612083 | − | 1.08575i | 0.144269 | − | 0.255915i | ||||
\(19\) | 0.208676 | − | 0.361438i | 0.0478736 | − | 0.0829195i | −0.841096 | − | 0.540886i | \(-0.818089\pi\) |
0.888969 | + | 0.457967i | \(0.151422\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −2.27796 | − | 0.187516i | −0.497092 | − | 0.0409194i | ||||
\(22\) | 0.741067 | − | 2.03606i | 0.157996 | − | 0.434090i | ||||
\(23\) | −1.01867 | + | 0.179619i | −0.212408 | + | 0.0374532i | −0.278839 | − | 0.960338i | \(-0.589950\pi\) |
0.0664316 | + | 0.997791i | \(0.478839\pi\) | |||||||
\(24\) | 2.50212 | + | 1.15115i | 0.510742 | + | 0.234978i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 0.00750270 | 0.00147140 | ||||||||
\(27\) | 4.99779 | − | 1.42200i | 0.961825 | − | 0.273665i | ||||
\(28\) | − | 2.41147i | − | 0.455726i | ||||||
\(29\) | 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 | \(0.835730\pi\) | |||||||
\(32\) | −1.51319 | + | 4.15744i | −0.267496 | + | 0.734939i | ||||
\(33\) | 8.16694 | − | 3.85948i | 1.42168 | − | 0.671849i | ||||
\(34\) | −0.226015 | + | 1.28180i | −0.0387613 | + | 0.219826i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 1.92781 | + | 5.13202i | 0.321301 | + | 0.855337i | ||||
\(37\) | 3.83195 | − | 2.21238i | 0.629969 | − | 0.363713i | −0.150771 | − | 0.988569i | \(-0.548176\pi\) |
0.780740 | + | 0.624856i | \(0.214842\pi\) | |||||||
\(38\) | −0.0593049 | − | 0.162939i | −0.00962052 | − | 0.0264322i | ||||
\(39\) | 0.0222303 | + | 0.0220032i | 0.00355970 | + | 0.00352334i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −2.81517 | + | 2.36221i | −0.439655 | + | 0.368915i | −0.835580 | − | 0.549368i | \(-0.814868\pi\) |
0.395925 | + | 0.918283i | \(0.370424\pi\) | |||||||
\(42\) | −0.668024 | + | 0.674919i | −0.103078 | + | 0.104142i | ||||
\(43\) | −2.84146 | − | 7.80685i | −0.433319 | − | 1.19053i | −0.943763 | − | 0.330622i | \(-0.892741\pi\) |
0.510445 | − | 0.859911i | \(-0.329481\pi\) | |||||||
\(44\) | 4.76508 | + | 8.25337i | 0.718363 | + | 1.24424i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.214876 | + | 0.372177i | −0.0316818 | + | 0.0548745i | ||||
\(47\) | −6.99008 | − | 1.23254i | −1.01961 | − | 0.179784i | −0.361234 | − | 0.932475i | \(-0.617644\pi\) |
−0.658374 | + | 0.752691i | \(0.728755\pi\) | |||||||
\(48\) | −4.68877 | + | 2.21579i | −0.676766 | + | 0.319821i | ||||
\(49\) | −4.94145 | − | 1.79854i | −0.705921 | − | 0.256934i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −4.42881 | + | 3.13510i | −0.620158 | + | 0.439001i | ||||
\(52\) | −0.0212119 | + | 0.0252794i | −0.00294157 | + | 0.00350562i | ||||
\(53\) | 1.30057i | 0.178648i | 0.996003 | + | 0.0893238i | \(0.0284706\pi\) | ||||
−0.996003 | + | 0.0893238i | \(0.971529\pi\) | |||||||
\(54\) | 0.882118 | − | 1.97038i | 0.120041 | − | 0.268135i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −1.60747 | − | 1.34883i | −0.214808 | − | 0.180245i | ||||
\(57\) | 0.302133 | − | 0.656707i | 0.0400185 | − | 0.0869830i | ||||
\(58\) | 3.19436 | − | 0.563252i | 0.419440 | − | 0.0739586i | ||||
\(59\) | −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 | \(-0.0904020\pi\) | |||||||
\(62\) | 1.34195 | + | 0.774775i | 0.170428 | + | 0.0983965i | ||||
\(63\) | −3.95868 | + | 0.0406486i | −0.498747 | + | 0.00512125i | ||||
\(64\) | −2.07506 | − | 3.59410i | −0.259382 | − | 0.449263i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0.952697 | − | 3.62996i | 0.117269 | − | 0.446817i | ||||
\(67\) | −7.08789 | − | 8.44702i | −0.865923 | − | 1.03197i | −0.999164 | − | 0.0408835i | \(-0.986983\pi\) |
0.133241 | − | 0.991084i | \(-0.457462\pi\) | |||||||
\(68\) | −3.67985 | − | 4.38548i | −0.446247 | − | 0.531817i | ||||
\(69\) | −1.72816 | + | 0.472581i | −0.208046 | + | 0.0568921i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 3.04214 | + | 5.26914i | 0.361035 | + | 0.625332i | 0.988132 | − | 0.153610i | \(-0.0490900\pi\) |
−0.627096 | + | 0.778942i | \(0.715757\pi\) | |||||||
\(72\) | 4.49927 | + | 1.58548i | 0.530245 | + | 0.186850i | ||||
\(73\) | −0.473692 | − | 0.273486i | −0.0554415 | − | 0.0320092i | 0.472023 | − | 0.881586i | \(-0.343524\pi\) |
−0.527465 | + | 0.849577i | \(0.676857\pi\) | |||||||
\(74\) | 0.319224 | − | 1.81041i | 0.0371090 | − | 0.210456i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.716670 | + | 0.260847i | 0.0822077 | + | 0.0299212i | ||||
\(77\) | −6.77756 | + | 1.19507i | −0.772374 | + | 0.136190i | ||||
\(78\) | 0.0129396 | − | 0.00119904i | 0.00146512 | − | 0.000135765i | ||||
\(79\) | −0.374706 | − | 0.314416i | −0.0421577 | − | 0.0353745i | 0.621465 | − | 0.783442i | \(-0.286538\pi\) |
−0.663623 | + | 0.748067i | \(0.730982\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 8.39224 | − | 3.25120i | 0.932471 | − | 0.361244i | ||||
\(82\) | 1.52681i | 0.168608i | ||||||||
\(83\) | 2.96561 | − | 3.53428i | 0.325518 | − | 0.387937i | −0.578321 | − | 0.815809i | \(-0.696292\pi\) |
0.903839 | + | 0.427872i | \(0.140737\pi\) | |||||||
\(84\) | −0.385389 | − | 4.15898i | −0.0420493 | − | 0.453782i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −3.24348 | − | 1.18053i | −0.349754 | − | 0.127300i | ||||
\(87\) | 11.1167 | + | 7.69922i | 1.19183 | + | 0.825443i | ||||
\(88\) | 8.16694 | + | 1.44005i | 0.870599 | + | 0.153510i | ||||
\(89\) | −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 | ||||
\(92\) | −0.646495 | − | 1.77623i | −0.0674018 | − | 0.185185i | ||||
\(93\) | 1.70398 | + | 6.23118i | 0.176694 | + | 0.646144i | ||||
\(94\) | −2.25902 | + | 1.89554i | −0.233000 | + | 0.195510i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −1.94531 | + | 7.41201i | −0.198543 | + | 0.756485i | ||||
\(97\) | −3.40014 | − | 9.34182i | −0.345232 | − | 0.948518i | −0.983850 | − | 0.178994i | \(-0.942716\pi\) |
0.638618 | − | 0.769524i | \(-0.279507\pi\) | |||||||
\(98\) | −1.89206 | + | 1.09238i | −0.191127 | + | 0.110347i | ||||
\(99\) | 13.4684 | − | 7.96149i | 1.35363 | − | 0.800160i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 2.39626 | − | 13.5898i | 0.238436 | − | 1.35224i | −0.596818 | − | 0.802377i | \(-0.703569\pi\) |
0.835255 | − | 0.549863i | \(-0.185320\pi\) | |||||||
\(102\) | −0.184950 | + | 2.24679i | −0.0183128 | + | 0.222465i | ||||
\(103\) | −1.56136 | + | 4.28981i | −0.153846 | + | 0.422687i | −0.992541 | − | 0.121914i | \(-0.961097\pi\) |
0.838695 | + | 0.544601i | \(0.183319\pi\) | |||||||
\(104\) | 0.00498644 | + | 0.0282795i | 0.000488961 | + | 0.00277303i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.413928 | + | 0.347327i | 0.0402042 | + | 0.0337354i | ||||
\(107\) | − | 11.2965i | − | 1.09207i | −0.837762 | − | 0.546035i | \(-0.816136\pi\) | ||
0.837762 | − | 0.546035i | \(-0.183864\pi\) | |||||||
\(108\) | 4.14499 | + | 8.54292i | 0.398851 | + | 0.822043i | ||||
\(109\) | −14.5032 | −1.38915 | −0.694577 | − | 0.719419i | \(-0.744408\pi\) | ||||
−0.694577 | + | 0.719419i | \(0.744408\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 6.25525 | − | 4.42801i | 0.593722 | − | 0.420288i | ||||
\(112\) | 3.89110 | − | 0.686107i | 0.367675 | − | 0.0648310i | ||||
\(113\) | −4.29523 | + | 11.8011i | −0.404062 | + | 1.11015i | 0.556200 | + | 0.831049i | \(0.312259\pi\) |
−0.960262 | + | 0.279102i | \(0.909963\pi\) | |||||||
\(114\) | −0.128321 | − | 0.271536i | −0.0120183 | − | 0.0254317i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −7.13341 | + | 12.3554i | −0.662321 | + | 1.14717i | ||||
\(117\) | 0.0418563 | + | 0.0343954i | 0.00386961 | + | 0.00317986i | ||||
\(118\) | −1.33193 | + | 0.768989i | −0.122614 | + | 0.0707912i | ||||
\(119\) | 3.88481 | − | 1.41395i | 0.356120 | − | 0.129617i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 12.4085 | − | 10.4120i | 1.12805 | − | 0.946544i | ||||
\(122\) | −1.84649 | − | 2.20056i | −0.167174 | − | 0.199230i | ||||
\(123\) | −4.47770 | + | 4.52391i | −0.403740 | + | 0.407907i | ||||
\(124\) | −6.40452 | + | 2.33105i | −0.575143 | + | 0.209335i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −1.04425 | + | 1.27077i | −0.0930295 | + | 0.113209i | ||||
\(127\) | 7.27027 | + | 4.19749i | 0.645132 | + | 0.372467i | 0.786589 | − | 0.617477i | \(-0.211845\pi\) |
−0.141456 | + | 0.989944i | \(0.545179\pi\) | |||||||
\(128\) | −10.4121 | − | 1.83594i | −0.920310 | − | 0.162276i | ||||
\(129\) | −6.14821 | − | 13.0101i | −0.541319 | − | 1.14547i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −2.69761 | − | 15.2989i | −0.235691 | − | 1.33667i | −0.841154 | − | 0.540796i | \(-0.818123\pi\) |
0.605463 | − | 0.795874i | \(-0.292988\pi\) | |||||||
\(132\) | 9.53717 | + | 13.4727i | 0.830104 | + | 1.17265i | ||||
\(133\) | −0.354015 | + | 0.421899i | −0.0306970 | + | 0.0365833i | ||||
\(134\) | −4.58126 | −0.395761 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −4.98162 | −0.427170 | ||||||||
\(137\) | −7.71820 | + | 9.19820i | −0.659411 | + | 0.785855i | −0.987301 | − | 0.158861i | \(-0.949218\pi\) |
0.327890 | + | 0.944716i | \(0.393662\pi\) | |||||||
\(138\) | −0.311110 | + | 0.676219i | −0.0264834 | + | 0.0575636i | ||||
\(139\) | −1.06709 | − | 6.05176i | −0.0905093 | − | 0.513304i | −0.996031 | − | 0.0890042i | \(-0.971632\pi\) |
0.905522 | − | 0.424299i | \(-0.139480\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −12.2525 | − | 1.00860i | −1.03185 | − | 0.0849392i | ||||
\(142\) | 2.48941 | + | 0.438950i | 0.208907 | + | 0.0368359i | ||||
\(143\) | 0.0815610 | + | 0.0470893i | 0.00682047 | + | 0.00393780i | ||||
\(144\) | −7.73243 | + | 4.57082i | −0.644369 | + | 0.380901i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −0.213544 | + | 0.0777237i | −0.0176730 | + | 0.00643246i | ||||
\(147\) | −8.80976 | − | 2.31216i | −0.726617 | − | 0.190704i | ||||
\(148\) | 5.19742 | + | 6.19404i | 0.427225 | + | 0.509147i | ||||
\(149\) | −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 | \(0.497520\pi\) | |||||||
\(152\) | 0.574740 | − | 0.331826i | 0.0466176 | − | 0.0269147i | ||||
\(153\) | −7.13717 | + | 6.11477i | −0.577006 | + | 0.494350i | ||||
\(154\) | −1.42964 | + | 2.47621i | −0.115204 | + | 0.199539i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −0.0325434 | + | 0.0469884i | −0.00260556 | + | 0.00376208i | ||||
\(157\) | 4.29571 | − | 11.8024i | 0.342835 | − | 0.941932i | −0.641733 | − | 0.766928i | \(-0.721784\pi\) |
0.984568 | − | 0.175003i | \(-0.0559937\pi\) | |||||||
\(158\) | −0.200135 | + | 0.0352893i | −0.0159219 | + | 0.00280746i | ||||
\(159\) | 0.207851 | + | 2.24305i | 0.0164836 | + | 0.177886i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 1.36501 | 0.107578 | ||||||||
\(162\) | 1.20646 | − | 3.53922i | 0.0947884 | − | 0.278067i | ||||
\(163\) | − | 3.31466i | − | 0.259624i | −0.991539 | − | 0.129812i | \(-0.958563\pi\) | ||
0.991539 | − | 0.129812i | \(-0.0414374\pi\) | |||||||
\(164\) | −5.14440 | − | 4.31667i | −0.401710 | − | 0.337075i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −0.332853 | − | 1.88770i | −0.0258344 | − | 0.146514i | ||||
\(167\) | −7.03295 | + | 19.3229i | −0.544226 | + | 1.49525i | 0.297167 | + | 0.954826i | \(0.403958\pi\) |
−0.841393 | + | 0.540424i | \(0.818264\pi\) | |||||||
\(168\) | −2.98791 | − | 2.06938i | −0.230522 | − | 0.159656i | ||||
\(169\) | 2.25737 | − | 12.8022i | 0.173644 | − | 0.984783i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0.416126 | − | 1.18088i | 0.0318219 | − | 0.0903044i | ||||
\(172\) | 13.1477 | − | 7.59085i | 1.00251 | − | 0.578797i | ||||
\(173\) | 4.79966 | + | 13.1870i | 0.364911 | + | 1.00259i | 0.977269 | + | 0.212005i | \(0.0679992\pi\) |
−0.612357 | + | 0.790581i | \(0.709779\pi\) | |||||||
\(174\) | 5.41917 | − | 1.48192i | 0.410827 | − | 0.112344i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −11.9617 | + | 10.0371i | −0.901648 | + | 0.756572i | ||||
\(177\) | −6.20169 | − | 1.62766i | −0.466148 | − | 0.122342i | ||||
\(178\) | 0.479305 | + | 1.31688i | 0.0359254 | + | 0.0987043i | ||||
\(179\) | 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 | \(0.814563\pi\) | |||||||
\(182\) | −0.00975037 | − | 0.00171925i | −0.000722746 | − | 0.000127440i | ||||
\(183\) | 0.982498 | − | 11.9354i | 0.0726283 | − | 0.882293i | ||||
\(184\) | −1.54563 | − | 0.562565i | −0.113946 | − | 0.0414728i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 2.43823 | + | 1.12176i | 0.178780 | + | 0.0822516i | ||||
\(187\) | −10.5019 | + | 12.5157i | −0.767978 | + | 0.915240i | ||||
\(188\) | − | 12.9706i | − | 0.945981i | ||||||
\(189\) | −6.82089 | + | 0.702760i | −0.496146 | + | 0.0511182i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 8.38541 | + | 7.03619i | 0.606747 | + | 0.509121i | 0.893606 | − | 0.448852i | \(-0.148167\pi\) |
−0.286860 | + | 0.957973i | \(0.592611\pi\) | |||||||
\(192\) | −4.15316 | − | 5.86699i | −0.299729 | − | 0.423414i | ||||
\(193\) | −10.6418 | + | 1.87644i | −0.766013 | + | 0.135069i | −0.542984 | − | 0.839743i | \(-0.682706\pi\) |
−0.223029 | + | 0.974812i | \(0.571595\pi\) | |||||||
\(194\) | −3.88121 | − | 1.41265i | −0.278655 | − | 0.101422i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 1.66867 | − | 9.46347i | 0.119190 | − | 0.675962i | ||||
\(197\) | 19.1161 | + | 11.0367i | 1.36196 | + | 0.786331i | 0.989885 | − | 0.141870i | \(-0.0453115\pi\) |
0.372080 | + | 0.928201i | \(0.378645\pi\) | |||||||
\(198\) | 1.06296 | − | 6.41270i | 0.0755413 | − | 0.455731i | ||||
\(199\) | 6.44338 | + | 11.1603i | 0.456759 | + | 0.791130i | 0.998787 | − | 0.0492301i | \(-0.0156768\pi\) |
−0.542028 | + | 0.840360i | \(0.682343\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −13.5742 | − | 13.4355i | −0.957448 | − | 0.947667i | ||||
\(202\) | −3.68524 | − | 4.39190i | −0.259293 | − | 0.309013i | ||||
\(203\) | −6.62241 | − | 7.89228i | −0.464802 | − | 0.553929i | ||||
\(204\) | −7.04736 | − | 6.97537i | −0.493414 | − | 0.488374i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 0.948326 | + | 1.64255i | 0.0660730 | + | 0.114442i | ||||
\(207\) | −2.90496 | + | 1.09123i | −0.201909 | + | 0.0758456i | ||||
\(208\) | −0.0468255 | − | 0.0270347i | −0.00324676 | − | 0.00187452i | ||||
\(209\) | 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 | \(0.301743\pi\) | |||||||
\(212\) | −2.34055 | + | 0.412702i | −0.160749 | + | 0.0283445i | ||||
\(213\) | 6.08875 | + | 8.60131i | 0.417194 | + | 0.589352i | ||||
\(214\) | −3.59528 | − | 3.01680i | −0.245768 | − | 0.206224i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 8.01311 | + | 2.01536i | 0.545223 | + | 0.137128i | ||||
\(217\) | − | 4.92177i | − | 0.334112i | ||||||
\(218\) | −3.87317 | + | 4.61587i | −0.262324 | + | 0.312626i | ||||
\(219\) | −0.860667 | − | 0.395969i | −0.0581585 | − | 0.0267571i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −0.0531618 | − | 0.0193493i | −0.00357605 | − | 0.00130158i | ||||
\(222\) | 0.261224 | − | 3.17336i | 0.0175322 | − | 0.212982i | ||||
\(223\) | −21.3331 | − | 3.76160i | −1.42857 | − | 0.251895i | −0.594740 | − | 0.803918i | \(-0.702745\pi\) |
−0.833829 | + | 0.552023i | \(0.813856\pi\) | |||||||
\(224\) | 2.91919 | − | 5.05618i | 0.195047 | − | 0.337831i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 2.60880 | + | 4.51858i | 0.173535 | + | 0.300571i | ||||
\(227\) | −7.40196 | − | 20.3367i | −0.491285 | − | 1.34979i | −0.899505 | − | 0.436911i | \(-0.856072\pi\) |
0.408220 | − | 0.912884i | \(-0.366150\pi\) | |||||||
\(228\) | 1.27770 | + | 0.335338i | 0.0846178 | + | 0.0222083i | ||||
\(229\) | 8.27739 | − | 6.94555i | 0.546985 | − | 0.458975i | −0.326934 | − | 0.945047i | \(-0.606015\pi\) |
0.873919 | + | 0.486072i | \(0.161571\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −11.4980 | + | 3.14424i | −0.756513 | + | 0.206876i | ||||
\(232\) | 4.24606 | + | 11.6660i | 0.278768 | + | 0.765908i | ||||
\(233\) | −6.61557 | + | 3.81950i | −0.433400 | + | 0.250224i | −0.700794 | − | 0.713364i | \(-0.747171\pi\) |
0.267394 | + | 0.963587i | \(0.413838\pi\) | |||||||
\(234\) | 0.0221249 | − | 0.00413588i | 0.00144635 | − | 0.000270371i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 1.17467 | − | 6.66187i | 0.0764644 | − | 0.433651i | ||||
\(237\) | −0.696490 | − | 0.482377i | −0.0452419 | − | 0.0313338i | ||||
\(238\) | 0.587451 | − | 1.61401i | 0.0380788 | − | 0.104621i | ||||
\(239\) | 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 | \(-0.604193\pi\) | |||||||
\(242\) | − | 6.72979i | − | 0.432608i | ||||||
\(243\) | 13.9542 | − | 6.94842i | 0.895162 | − | 0.445741i | ||||
\(244\) | 12.6350 | 0.808873 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0.244007 | + | 2.63324i | 0.0155573 | + | 0.167889i | ||||
\(247\) | 0.00742226 | − | 0.00130875i | 0.000472267 | − | 8.32735e-5i | ||||
\(248\) | −2.02843 | + | 5.57306i | −0.128805 | + | 0.353890i | ||||
\(249\) | 4.54985 | − | 6.56938i | 0.288335 | − | 0.416318i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 2.24965 | − | 3.89651i | 0.141997 | − | 0.245945i | −0.786252 | − | 0.617906i | \(-0.787981\pi\) |
0.928248 | + | 0.371961i | \(0.121314\pi\) | |||||||
\(252\) | −1.32933 | − | 7.11124i | −0.0837399 | − | 0.447966i | ||||
\(253\) | −4.67179 | + | 2.69726i | −0.293713 | + | 0.169575i | ||||
\(254\) | 3.27749 | − | 1.19291i | 0.205648 | − | 0.0748498i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 2.99340 | − | 2.51176i | 0.187088 | − | 0.156985i | ||||
\(257\) | 8.82895 | + | 10.5219i | 0.550735 | + | 0.656340i | 0.967559 | − | 0.252647i | \(-0.0813011\pi\) |
−0.416824 | + | 0.908987i | \(0.636857\pi\) | |||||||
\(258\) | −5.78258 | − | 1.51766i | −0.360007 | − | 0.0944854i | ||||
\(259\) | −5.48690 | + | 1.99707i | −0.340939 | + | 0.124092i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 20.4029 | + | 11.5020i | 1.26291 | + | 0.711953i | ||||
\(262\) | −5.58952 | − | 3.22711i | −0.345322 | − | 0.199372i | ||||
\(263\) | 23.8349 | + | 4.20273i | 1.46972 | + | 0.259151i | 0.850462 | − | 0.526036i | \(-0.176322\pi\) |
0.619258 | + | 0.785187i | \(0.287433\pi\) | |||||||
\(264\) | 14.3154 | + | 1.17841i | 0.881049 | + | 0.0725260i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 0.0397339 | + | 0.225342i | 0.00243624 | + | 0.0138166i | ||||
\(267\) | −2.44185 | + | 5.30755i | −0.149439 | + | 0.324817i | ||||
\(268\) | 12.9523 | − | 15.4360i | 0.791189 | − | 0.942902i | ||||
\(269\) | −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 | \(0.463980\pi\) | |||||||
\(272\) | 6.02933 | − | 7.18547i | 0.365582 | − | 0.435683i | ||||
\(273\) | −0.0238481 | − | 0.0336891i | −0.00144335 | − | 0.00203896i | ||||
\(274\) | 0.866273 | + | 4.91288i | 0.0523335 | + | 0.296798i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −1.39885 | − | 2.96008i | −0.0842011 | − | 0.178176i | ||||
\(277\) | −23.1264 | − | 4.07780i | −1.38953 | − | 0.245011i | −0.571695 | − | 0.820466i | \(-0.693714\pi\) |
−0.817833 | + | 0.575455i | \(0.804825\pi\) | |||||||
\(278\) | −2.21104 | − | 1.27654i | −0.132609 | − | 0.0765621i | ||||
\(279\) | 3.93462 | + | 10.4744i | 0.235559 | + | 0.627084i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 19.1432 | − | 6.96754i | 1.14199 | − | 0.415649i | 0.299356 | − | 0.954142i | \(-0.403228\pi\) |
0.842630 | + | 0.538493i | \(0.181006\pi\) | |||||||
\(282\) | −3.59311 | + | 3.63020i | −0.213967 | + | 0.216175i | ||||
\(283\) | −7.45630 | − | 8.88607i | −0.443231 | − | 0.528222i | 0.497460 | − | 0.867487i | \(-0.334266\pi\) |
−0.940691 | + | 0.339265i | \(0.889822\pi\) | |||||||
\(284\) | −8.51714 | + | 7.14673i | −0.505399 | + | 0.424080i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0.0367683 | − | 0.0133826i | 0.00217416 | − | 0.000791328i | ||||
\(287\) | 4.19984 | − | 2.42478i | 0.247909 | − | 0.143130i | ||||
\(288\) | −2.17046 | + | 13.0941i | −0.127896 | + | 0.771578i | ||||
\(289\) | −3.59280 | + | 6.22291i | −0.211341 | + | 0.366053i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −7.35706 | − | 15.5681i | −0.431279 | − | 0.912618i | ||||
\(292\) | 0.341860 | − | 0.939253i | 0.0200058 | − | 0.0549656i | ||||
\(293\) | 31.0945 | − | 5.48280i | 1.81656 | − | 0.320308i | 0.841165 | − | 0.540779i | \(-0.181870\pi\) |
0.975394 | + | 0.220470i | \(0.0707592\pi\) | |||||||
\(294\) | −3.08858 | + | 2.18637i | −0.180130 | + | 0.127511i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 7.03603 | 0.408961 | ||||||||
\(297\) | 21.9561 | − | 15.8833i | 1.27402 | − | 0.921644i | ||||
\(298\) | 0.366782i | 0.0212471i | ||||||||
\(299\) | −0.0143093 | − | 0.0120069i | −0.000827529 | − | 0.000694379i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 1.90376 | + | 10.7968i | 0.109731 | + | 0.622315i | ||||
\(302\) | −1.16882 | + | 3.21131i | −0.0672581 | + | 0.184790i | ||||
\(303\) | 1.96088 | − | 23.8208i | 0.112649 | − | 1.36847i | ||||
\(304\) | −0.216991 | + | 1.23062i | −0.0124453 | + | 0.0705809i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 0.0400924 | + | 3.90451i | 0.00229193 | + | 0.223206i | ||||
\(307\) | −7.03259 | + | 4.06027i | −0.401371 | + | 0.231732i | −0.687075 | − | 0.726586i | \(-0.741106\pi\) |
0.285704 | + | 0.958318i | \(0.407773\pi\) | |||||||
\(308\) | −4.30134 | − | 11.8178i | −0.245092 | − | 0.673384i | ||||
\(309\) | −2.00725 | + | 7.64800i | −0.114188 | + | 0.435079i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −18.2691 | + | 15.3296i | −1.03594 | + | 0.869259i | −0.991546 | − | 0.129754i | \(-0.958581\pi\) |
−0.0443970 | + | 0.999014i | \(0.514137\pi\) | |||||||
\(312\) | 0.0131194 | + | 0.0479757i | 0.000742740 | + | 0.00271609i | ||||
\(313\) | 9.20392 | + | 25.2876i | 0.520236 | + | 1.42934i | 0.870258 | + | 0.492596i | \(0.163952\pi\) |
−0.350022 | + | 0.936742i | \(0.613826\pi\) | |||||||
\(314\) | −2.60909 | − | 4.51908i | −0.147240 | − | 0.255026i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0.446928 | − | 0.774102i | 0.0251417 | − | 0.0435466i | ||||
\(317\) | −8.20574 | − | 1.44689i | −0.460881 | − | 0.0812657i | −0.0616130 | − | 0.998100i | \(-0.519624\pi\) |
−0.399268 | + | 0.916834i | \(0.630736\pi\) | |||||||
\(318\) | 0.769394 | + | 0.532870i | 0.0431455 | + | 0.0298819i | ||||
\(319\) | 38.2606 | + | 13.9257i | 2.14218 | + | 0.779692i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −1.80534 | − | 19.4826i | −0.100764 | − | 1.08741i | ||||
\(322\) | 0.364534 | − | 0.434435i | 0.0203147 | − | 0.0242101i | ||||
\(323\) | 1.30748i | 0.0727501i | ||||||||
\(324\) | 8.51398 | + | 14.0712i | 0.472999 | + | 0.781734i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −1.05494 | − | 0.885201i | −0.0584278 | − | 0.0490268i | ||||
\(327\) | −25.0131 | + | 2.31782i | −1.38323 | + | 0.128176i | ||||
\(328\) | −5.75493 | + | 1.01475i | −0.317763 | + | 0.0560301i | ||||
\(329\) | 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 | \(0.999096\pi\) | |||||||
\(332\) | 7.30143 | + | 4.21548i | 0.400718 | + | 0.231355i | ||||
\(333\) | 10.0805 | − | 8.63650i | 0.552410 | − | 0.473277i | ||||
\(334\) | 4.27161 | + | 7.39865i | 0.233732 | + | 0.404836i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 6.60119 | − | 1.80516i | 0.360124 | − | 0.0984794i | ||||
\(337\) | 4.80477 | + | 5.72610i | 0.261732 | + | 0.311921i | 0.880867 | − | 0.473365i | \(-0.156961\pi\) |
−0.619134 | + | 0.785285i | \(0.712516\pi\) | |||||||
\(338\) | −3.47165 | − | 4.13735i | −0.188833 | − | 0.225042i | ||||
\(339\) | −5.52185 | + | 21.0393i | −0.299906 | + | 1.14270i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 9.72545 | + | 16.8450i | 0.526663 | + | 0.912206i | ||||
\(342\) | −0.264706 | − | 0.447801i | −0.0143136 | − | 0.0242143i | ||||
\(343\) | 14.0095 | + | 8.08839i | 0.756442 | + | 0.436732i | ||||
\(344\) | 2.29403 | − | 13.0101i | 0.123686 | − | 0.701456i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 5.47874 | + | 1.99410i | 0.294539 | + | 0.107203i | ||||
\(347\) | 30.9766 | − | 5.46202i | 1.66291 | − | 0.293216i | 0.738399 | − | 0.674364i | \(-0.235582\pi\) |
0.924514 | + | 0.381148i | \(0.124471\pi\) | |||||||
\(348\) | −10.3281 | + | 22.4490i | −0.553647 | + | 1.20339i | ||||
\(349\) | −9.07988 | − | 7.61893i | −0.486035 | − | 0.407832i | 0.366568 | − | 0.930391i | \(-0.380533\pi\) |
−0.852603 | + | 0.522560i | \(0.824977\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0.0776848 | + | 0.0526312i | 0.00414651 | + | 0.00280925i | ||||
\(352\) | 23.0733i | 1.22981i | ||||||||
\(353\) | −5.27541 | + | 6.28699i | −0.280782 | + | 0.334623i | −0.887941 | − | 0.459958i | \(-0.847865\pi\) |
0.607159 | + | 0.794580i | \(0.292309\pi\) | |||||||
\(354\) | −2.17423 | + | 1.53911i | −0.115559 | + | 0.0818026i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −5.79217 | − | 2.10818i | −0.306984 | − | 0.111733i | ||||
\(357\) | 6.47401 | − | 3.05944i | 0.342641 | − | 0.161923i | ||||
\(358\) | 4.16928 | + | 0.735157i | 0.220353 | + | 0.0388542i | ||||
\(359\) | 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 | ||||
\(362\) | 3.41812 | + | 9.39122i | 0.179653 | + | 0.493591i | ||||
\(363\) | 19.7365 | − | 19.9402i | 1.03590 | − | 1.04659i | ||||
\(364\) | 0.0333594 | − | 0.0279919i | 0.00174851 | − | 0.00146717i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −3.53626 | − | 3.50013i | −0.184843 | − | 0.182955i | ||||
\(367\) | 6.94969 | + | 19.0941i | 0.362771 | + | 0.996704i | 0.978045 | + | 0.208392i | \(0.0668229\pi\) |
−0.615275 | + | 0.788313i | \(0.710955\pi\) | |||||||
\(368\) | 2.68215 | − | 1.54854i | 0.139817 | − | 0.0807232i | ||||
\(369\) | −6.99953 | + | 8.51782i | −0.364381 | + | 0.443420i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 0.298028 | − | 1.69020i | 0.0154728 | − | 0.0877509i | ||||
\(372\) | −10.6731 | + | 5.04381i | −0.553374 | + | 0.261510i | ||||
\(373\) | 3.31125 | − | 9.09758i | 0.171450 | − | 0.471055i | −0.823972 | − | 0.566630i | \(-0.808247\pi\) |
0.995422 | + | 0.0955754i | \(0.0304691\pi\) | |||||||
\(374\) | 1.17871 | + | 6.68481i | 0.0609498 | + | 0.345663i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −8.64615 | − | 7.25498i | −0.445891 | − | 0.374147i | ||||
\(377\) | 0.140987i | 0.00726119i | ||||||||
\(378\) | −1.59790 | + | 2.35853i | −0.0821870 | + | 0.121310i | ||||
\(379\) | 4.12905 | 0.212095 | 0.106048 | − | 0.994361i | \(-0.466180\pi\) | ||||
0.106048 | + | 0.994361i | \(0.466180\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 13.2096 | + | 6.07736i | 0.676748 | + | 0.311353i | ||||
\(382\) | 4.47876 | − | 0.789725i | 0.229153 | − | 0.0404059i | ||||
\(383\) | −1.62466 | + | 4.46371i | −0.0830162 | + | 0.228085i | −0.974255 | − | 0.225450i | \(-0.927615\pi\) |
0.891239 | + | 0.453535i | \(0.149837\pi\) | |||||||
\(384\) | −18.2508 | − | 1.50236i | −0.931357 | − | 0.0766672i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −2.24476 | + | 3.88803i | −0.114255 | + | 0.197896i | ||||
\(387\) | −12.6828 | − | 21.4554i | −0.644702 | − | 1.09064i | ||||
\(388\) | 15.7328 | − | 9.08336i | 0.798714 | − | 0.461138i | ||||
\(389\) | −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 | ||||
\(392\) | −5.37495 | − | 6.40561i | −0.271476 | − | 0.323532i | ||||
\(393\) | −7.09745 | − | 25.9543i | −0.358019 | − | 1.30922i | ||||
\(394\) | 8.61767 | − | 3.13658i | 0.434152 | − | 0.158018i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 18.6015 | + | 21.7117i | 0.934762 | + | 1.09106i | ||||
\(397\) | 30.1802 | + | 17.4245i | 1.51470 | + | 0.874512i | 0.999852 | + | 0.0172294i | \(0.00548457\pi\) |
0.514847 | + | 0.857282i | \(0.327849\pi\) | |||||||
\(398\) | 5.27268 | + | 0.929715i | 0.264295 | + | 0.0466024i | ||||
\(399\) | −0.543131 | + | 0.784210i | −0.0271906 | + | 0.0392596i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −3.26911 | − | 18.5401i | −0.163252 | − | 0.925847i | −0.950849 | − | 0.309656i | \(-0.899786\pi\) |
0.787597 | − | 0.616191i | \(-0.211325\pi\) | |||||||
\(402\) | −7.90113 | + | 0.732152i | −0.394072 | + | 0.0365164i | ||||
\(403\) | −0.0432932 | + | 0.0515948i | −0.00215659 | + | 0.00257012i | ||||
\(404\) | 25.2170 | 1.25459 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −4.28040 | −0.212433 | ||||||||
\(407\) | 14.8329 | − | 17.6772i | 0.735241 | − | 0.876226i | ||||
\(408\) | −8.59160 | + | 0.796135i | −0.425348 | + | 0.0394145i | ||||
\(409\) | 1.10439 | + | 6.26334i | 0.0546088 | + | 0.309702i | 0.999862 | − | 0.0166371i | \(-0.00529599\pi\) |
−0.945253 | + | 0.326339i | \(0.894185\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −11.8413 | + | 17.0973i | −0.584088 | + | 0.843346i | ||||
\(412\) | −8.21551 | − | 1.44862i | −0.404749 | − | 0.0713682i | ||||
\(413\) | 4.23055 | + | 2.44251i | 0.208172 | + | 0.120188i | ||||
\(414\) | −0.428490 | + | 1.21597i | −0.0210591 | + | 0.0597617i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −0.0750772 | + | 0.0273259i | −0.00368096 | + | 0.00133976i | ||||
\(417\) | −2.80753 | − | 10.2667i | −0.137485 | − | 0.502763i | ||||
\(418\) | −0.581267 | − | 0.692727i | −0.0284307 | − | 0.0338824i | ||||
\(419\) | 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 | \(0.326514\pi\) | |||||||
\(422\) | 8.63373 | − | 4.98469i | 0.420283 | − | 0.242651i | ||||
\(423\) | −21.2926 | + | 0.218637i | −1.03528 | + | 0.0106305i | ||||
\(424\) | −1.03405 | + | 1.79103i | −0.0502181 | + | 0.0869803i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 4.36354 | + | 0.359197i | 0.211414 | + | 0.0174031i | ||||
\(427\) | −3.12067 | + | 8.57397i | −0.151020 | + | 0.414924i | ||||
\(428\) | 20.3294 | − | 3.58462i | 0.982659 | − | 0.173269i | ||||
\(429\) | 0.148191 | + | 0.0681784i | 0.00715472 | + | 0.00329169i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 9.87124 | 0.475481 | 0.237740 | − | 0.971329i | \(-0.423593\pi\) | ||||
0.237740 | + | 0.971329i | \(0.423593\pi\) | |||||||
\(432\) | −12.6053 | + | 9.11887i | −0.606475 | + | 0.438732i | ||||
\(433\) | 6.10369i | 0.293325i | 0.989187 | + | 0.146662i | \(0.0468531\pi\) | ||||
−0.989187 | + | 0.146662i | \(0.953147\pi\) | |||||||
\(434\) | −1.56643 | − | 1.31439i | −0.0751911 | − | 0.0630928i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −4.60219 | − | 26.1003i | −0.220405 | − | 1.24998i | ||||
\(437\) | −0.147651 | + | 0.405669i | −0.00706312 | + | 0.0194058i | ||||
\(438\) | −0.355870 | + | 0.168174i | −0.0170041 | + | 0.00803569i | ||||
\(439\) | 2.62800 | − | 14.9041i | 0.125427 | − | 0.711334i | −0.855626 | − | 0.517595i | \(-0.826827\pi\) |
0.981053 | − | 0.193739i | \(-0.0620615\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −15.5634 | − | 2.57976i | −0.741113 | − | 0.122846i | ||||
\(442\) | −0.0203554 | + | 0.0117522i | −0.000968210 | + | 0.000558996i | ||||
\(443\) | −0.247210 | − | 0.679204i | −0.0117453 | − | 0.0322699i | 0.933681 | − | 0.358105i | \(-0.116577\pi\) |
−0.945427 | + | 0.325835i | \(0.894355\pi\) | |||||||
\(444\) | 9.95369 | + | 9.85201i | 0.472381 | + | 0.467555i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −6.89432 | + | 5.78502i | −0.326456 | + | 0.273929i | ||||
\(447\) | −1.07566 | + | 1.08677i | −0.0508772 | + | 0.0514023i | ||||
\(448\) | 1.87311 | + | 5.14633i | 0.0884962 | + | 0.243141i | ||||
\(449\) | 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 | ||||
\(452\) | −22.6005 | − | 3.98507i | −1.06304 | − | 0.187442i | ||||
\(453\) | −12.8810 | + | 6.08723i | −0.605204 | + | 0.286003i | ||||
\(454\) | −8.44922 | − | 3.07526i | −0.396541 | − | 0.144329i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0.938202 | − | 0.664140i | 0.0439353 | − | 0.0311012i | ||||
\(457\) | −7.12430 | + | 8.49041i | −0.333261 | + | 0.397165i | −0.906488 | − | 0.422232i | \(-0.861247\pi\) |
0.573227 | + | 0.819397i | \(0.305691\pi\) | |||||||
\(458\) | − | 4.48926i | − | 0.209769i | ||||||
\(459\) | −11.3320 | + | 11.6865i | −0.528932 | + | 0.545481i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −16.7644 | − | 14.0670i | −0.780797 | − | 0.655166i | 0.162653 | − | 0.986683i | \(-0.447995\pi\) |
−0.943449 | + | 0.331517i | \(0.892439\pi\) | |||||||
\(462\) | −2.06992 | + | 4.49911i | −0.0963012 | + | 0.209318i | ||||
\(463\) | 24.4742 | − | 4.31546i | 1.13741 | − | 0.200556i | 0.426938 | − | 0.904281i | \(-0.359592\pi\) |
0.710473 | + | 0.703724i | \(0.248481\pi\) | |||||||
\(464\) | −21.9660 | − | 7.99499i | −1.01975 | − | 0.371158i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −0.551115 | + | 3.12553i | −0.0255299 | + | 0.144787i | ||||
\(467\) | 10.2499 | + | 5.91777i | 0.474308 | + | 0.273842i | 0.718041 | − | 0.696001i | \(-0.245039\pi\) |
−0.243734 | + | 0.969842i | \(0.578372\pi\) | |||||||
\(468\) | −0.0486170 | + | 0.0862400i | −0.00224732 | + | 0.00398645i | ||||
\(469\) | 7.27564 | + | 12.6018i | 0.335958 | + | 0.581896i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 5.52246 | − | 21.0416i | 0.254462 | − | 0.969547i | ||||
\(472\) | −3.78373 | − | 4.50927i | −0.174160 | − | 0.207556i | ||||
\(473\) | −27.8501 | − | 33.1905i | −1.28055 | − | 1.52610i | ||||
\(474\) | −0.339526 | + | 0.0928466i | −0.0155950 | + | 0.00426459i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 3.77733 | + | 6.54252i | 0.173134 | + | 0.299876i | ||||
\(477\) | 0.716944 | + | 3.83529i | 0.0328266 | + | 0.175606i | ||||
\(478\) | 1.16270 | + | 0.671288i | 0.0531809 | + | 0.0307040i | ||||
\(479\) | −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 | ||||
\(482\) | −10.8610 | + | 1.91508i | −0.494704 | + | 0.0872297i | ||||
\(483\) | 2.35417 | − | 0.218148i | 0.107119 | − | 0.00992607i | ||||
\(484\) | 22.6752 | + | 19.0267i | 1.03069 | + | 0.864852i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 1.51512 | − | 6.29676i | 0.0687271 | − | 0.285627i | ||||
\(487\) | 8.75903i | 0.396910i | 0.980110 | + | 0.198455i | \(0.0635923\pi\) | ||||
−0.980110 | + | 0.198455i | \(0.936408\pi\) | |||||||
\(488\) | 7.06724 | − | 8.42241i | 0.319919 | − | 0.381265i | ||||
\(489\) | −0.529731 | − | 5.71667i | −0.0239553 | − | 0.258517i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 21.2117 | + | 7.72044i | 0.957272 | + | 0.348418i | 0.772964 | − | 0.634450i | \(-0.218773\pi\) |
0.184308 | + | 0.982869i | \(0.440996\pi\) | |||||||
\(492\) | −9.56222 | − | 6.62264i | −0.431098 | − | 0.298572i | ||||
\(493\) | −24.0869 | − | 4.24716i | −1.08482 | − | 0.191283i | ||||
\(494\) | 0.00156564 | − | 0.00271176i | 7.04413e−5 | − | 0.000122008i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −5.58354 | − | 9.67097i | −0.250708 | − | 0.434239i | ||||
\(497\) | −2.74608 | − | 7.54478i | −0.123178 | − | 0.338430i | ||||
\(498\) | −0.875741 | − | 3.20246i | −0.0392429 | − | 0.143505i | ||||
\(499\) | 19.4061 | − | 16.2836i | 0.868734 | − | 0.728955i | −0.0950968 | − | 0.995468i | \(-0.530316\pi\) |
0.963831 | + | 0.266513i | \(0.0858716\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −9.04139 | + | 34.4494i | −0.403940 | + | 1.53909i | ||||
\(502\) | −0.639340 | − | 1.75657i | −0.0285352 | − | 0.0783997i | ||||
\(503\) | −3.24252 | + | 1.87207i | −0.144577 | + | 0.0834714i | −0.570543 | − | 0.821267i | \(-0.693267\pi\) |
0.425967 | + | 0.904739i | \(0.359934\pi\) | |||||||
\(504\) | −5.48386 | − | 3.09147i | −0.244270 | − | 0.137705i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −0.389187 | + | 2.20719i | −0.0173015 | + | 0.0981216i | ||||
\(507\) | 1.84723 | − | 22.4402i | 0.0820382 | − | 0.996604i | ||||
\(508\) | −5.24690 | + | 14.4157i | −0.232793 | + | 0.639595i | ||||
\(509\) | −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 | ||||
\(512\) | − | 22.7690i | − | 1.00626i | ||||||
\(513\) | 0.528954 | − | 2.10313i | 0.0233539 | − | 0.0928554i | ||||
\(514\) | 5.70660 | 0.251707 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 21.4623 | − | 15.1929i | 0.944824 | − | 0.668828i | ||||
\(517\) | −36.4546 | + | 6.42792i | −1.60327 | + | 0.282700i | ||||
\(518\) | −0.829715 | + | 2.27962i | −0.0364556 | + | 0.100161i | ||||
\(519\) | 10.3853 | + | 21.9760i | 0.455862 | + | 0.964639i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −9.81046 | + | 16.9922i | −0.429804 | + | 0.744443i | −0.996856 | − | 0.0792397i | \(-0.974751\pi\) |
0.567051 | + | 0.823682i | \(0.308084\pi\) | |||||||
\(522\) | 9.10941 | − | 3.42188i | 0.398708 | − | 0.149772i | ||||
\(523\) | −18.0267 | + | 10.4077i | −0.788251 | + | 0.455097i | −0.839346 | − | 0.543597i | \(-0.817062\pi\) |
0.0510956 | + | 0.998694i | \(0.483729\pi\) | |||||||
\(524\) | 26.6763 | − | 9.70937i | 1.16536 | − | 0.424156i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 7.70284 | − | 6.46345i | 0.335860 | − | 0.281820i | ||||
\(527\) | −7.51051 | − | 8.95067i | −0.327163 | − | 0.389897i | ||||
\(528\) | −19.0258 | + | 19.2222i | −0.827993 | + | 0.836539i | ||||
\(529\) | −20.6075 | + | 7.50052i | −0.895978 | + | 0.326109i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −10.9559 | − | 1.81604i | −0.475447 | − | 0.0788095i | ||||
\(532\) | −0.871598 | − | 0.503217i | −0.0377886 | − | 0.0218172i | ||||
\(533\) | −0.0653558 | − | 0.0115240i | −0.00283087 | − | 0.000499159i | ||||
\(534\) | 1.03710 | + | 2.19457i | 0.0448795 | + | 0.0949685i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −3.04479 | − | 17.2679i | −0.131515 | − | 0.745859i | ||||
\(537\) | 10.1975 | + | 14.4055i | 0.440054 | + | 0.621645i | ||||
\(538\) | −3.20634 | + | 3.82117i | −0.138235 | + | 0.164742i | ||||
\(539\) | −27.4245 | −1.18126 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −30.6272 | −1.31676 | −0.658382 | − | 0.752684i | \(-0.728759\pi\) | ||||
−0.658382 | + | 0.752684i | \(0.728759\pi\) | |||||||
\(542\) | 0.992856 | − | 1.18324i | 0.0426468 | − | 0.0508245i | ||||
\(543\) | −17.4139 | + | 37.8503i | −0.747301 | + | 1.62431i | ||||
\(544\) | −2.40681 | − | 13.6497i | −0.103191 | − | 0.585227i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −0.0170909 | − | 0.00140688i | −0.000731421 | − | 6.02089e-5i | ||||
\(547\) | 22.3036 | + | 3.93273i | 0.953633 | + | 0.168151i | 0.628754 | − | 0.777604i | \(-0.283565\pi\) |
0.324879 | + | 0.945756i | \(0.394676\pi\) | |||||||
\(548\) | −19.0025 | − | 10.9711i | −0.811745 | − | 0.468661i | ||||
\(549\) | −0.212980 | − | 20.7416i | −0.00908976 | − | 0.885231i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 3.06186 | − | 1.11443i | 0.130440 | − | 0.0474761i | ||||
\(552\) | −2.75560 | − | 0.723220i | −0.117286 | − | 0.0307823i | ||||
\(553\) | 0.414912 | + | 0.494473i | 0.0176439 | + | 0.0210271i | ||||
\(554\) | −7.47387 | + | 6.27132i | −0.317534 | + | 0.266443i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 10.5523 | − | 3.84072i | 0.447517 | − | 0.162883i | ||||
\(557\) | 31.5682 | − | 18.2259i | 1.33759 | − | 0.772256i | 0.351138 | − | 0.936324i | \(-0.385795\pi\) |
0.986449 | + | 0.164067i | \(0.0524615\pi\) | |||||||
\(558\) | 4.38440 | + | 1.54500i | 0.185606 | + | 0.0654049i | ||||
\(559\) | 0.0750139 | − | 0.129928i | 0.00317275 | − | 0.00549537i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −16.1121 | + | 23.2637i | −0.680253 | + | 0.982196i | ||||
\(562\) | 2.89478 | − | 7.95334i | 0.122109 | − | 0.335491i | ||||
\(563\) | 26.1134 | − | 4.60450i | 1.10055 | − | 0.194056i | 0.406263 | − | 0.913756i | \(-0.366832\pi\) |
0.694285 | + | 0.719700i | \(0.255721\pi\) | |||||||
\(564\) | −2.07290 | − | 22.3700i | −0.0872847 | − | 0.941945i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −4.81938 | −0.202574 | ||||||||
\(567\) | −11.6514 | + | 2.30210i | −0.489313 | + | 0.0966791i | ||||
\(568\) | 9.67492i | 0.405950i | ||||||||
\(569\) | −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 | \(0.976455\pi\) | |||||||
\(572\) | −0.0588619 | + | 0.161722i | −0.00246114 | + | 0.00676193i | ||||
\(573\) | 15.5865 | + | 10.7949i | 0.651134 | + | 0.450965i | ||||
\(574\) | 0.349871 | − | 1.98422i | 0.0146033 | − | 0.0828197i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −8.10043 | − | 9.45484i | −0.337518 | − | 0.393952i | ||||
\(577\) | −3.73545 | + | 2.15666i | −0.155509 | + | 0.0897831i | −0.575735 | − | 0.817636i | \(-0.695284\pi\) |
0.420226 | + | 0.907419i | \(0.361951\pi\) | |||||||
\(578\) | 1.02106 | + | 2.80533i | 0.0424704 | + | 0.116686i | ||||
\(579\) | −18.0536 | + | 4.93693i | −0.750283 | + | 0.205172i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −4.66393 | + | 3.91351i | −0.193493 | + | 0.162360i | ||||
\(582\) | −6.91954 | − | 1.81606i | −0.286824 | − | 0.0752782i | ||||
\(583\) | 2.31983 | + | 6.37369i | 0.0960777 | + | 0.263971i | ||||
\(584\) | −0.434885 | − | 0.753242i | −0.0179957 | − | 0.0311694i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 6.55900 | − | 11.3605i | 0.270950 | − | 0.469299i | ||||
\(587\) | 41.1868 | + | 7.26235i | 1.69996 | + | 0.299749i | 0.937681 | − | 0.347497i | \(-0.112968\pi\) |
0.762281 | + | 0.647246i | \(0.224079\pi\) | |||||||
\(588\) | 1.36548 | − | 16.5880i | 0.0563116 | − | 0.684076i | ||||
\(589\) | 1.46271 | + | 0.532383i | 0.0602699 | + | 0.0219365i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 34.7326 | + | 15.9795i | 1.42871 | + | 0.657309i | ||||
\(592\) | −8.51582 | + | 10.1488i | −0.349998 | + | 0.417111i | ||||
\(593\) | 31.5370i | 1.29507i | 0.762035 | + | 0.647536i | \(0.224200\pi\) | ||||
−0.762035 | + | 0.647536i | \(0.775800\pi\) | |||||||
\(594\) | 0.808405 | − | 11.2296i | 0.0331693 | − | 0.460757i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −1.23583 | − | 1.03698i | −0.0506214 | − | 0.0424764i | ||||
\(597\) | 12.8962 | + | 18.2179i | 0.527807 | + | 0.745611i | ||||
\(598\) | −0.00764279 | + | 0.00134763i | −0.000312537 | + | 5.51087e-5i | ||||
\(599\) | −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 | \(-0.0820577\pi\) | |||||||
\(602\) | 3.94465 | + | 2.27744i | 0.160772 | + | 0.0928216i | ||||
\(603\) | −25.5580 | − | 21.0023i | −1.04080 | − | 0.855282i | ||||
\(604\) | −7.51556 | − | 13.0173i | −0.305804 | − | 0.529668i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −7.05769 | − | 6.98559i | −0.286699 | − | 0.283770i | ||||
\(607\) | 8.30003 | + | 9.89160i | 0.336888 | + | 0.401487i | 0.907718 | − | 0.419581i | \(-0.137823\pi\) |
−0.570830 | + | 0.821068i | \(0.693378\pi\) | |||||||
\(608\) | 1.18689 | + | 1.41448i | 0.0481348 | + | 0.0573648i | ||||
\(609\) | −12.6827 | − | 12.5532i | −0.513930 | − | 0.508680i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −0.0640889 | − | 0.111005i | −0.00259276 | − | 0.00449079i | ||||
\(612\) | −13.2691 | − | 10.9039i | −0.536371 | − | 0.440763i | ||||
\(613\) | −26.9851 | − | 15.5799i | −1.08992 | − | 0.629265i | −0.156364 | − | 0.987699i | \(-0.549977\pi\) |
−0.933555 | + | 0.358434i | \(0.883311\pi\) | |||||||
\(614\) | −0.585856 | + | 3.32255i | −0.0236432 | + | 0.134087i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −10.2836 | − | 3.74293i | −0.414339 | − | 0.150807i | ||||
\(617\) | 7.03230 | − | 1.23998i | 0.283110 | − | 0.0499199i | −0.0302901 | − | 0.999541i | \(-0.509643\pi\) |
0.313400 | + | 0.949621i | \(0.398532\pi\) | |||||||
\(618\) | 1.89805 | + | 2.68129i | 0.0763506 | + | 0.107857i | ||||
\(619\) | 7.68412 | + | 6.44774i | 0.308851 | + | 0.259157i | 0.784017 | − | 0.620740i | \(-0.213168\pi\) |
−0.475166 | + | 0.879896i | \(0.657612\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −4.83569 | + | 2.34625i | −0.194049 | + | 0.0941520i | ||||
\(622\) | 9.90827i | 0.397285i | ||||||||
\(623\) | 2.86117 | − | 3.40981i | 0.114630 | − | 0.136611i | ||||
\(624\) | −0.0850787 | − | 0.0391423i | −0.00340587 | − | 0.00156695i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 10.5061 | + | 3.82392i | 0.419909 | + | 0.152835i | ||||
\(627\) | 0.309286 | − | 3.75722i | 0.0123517 | − | 0.150049i | ||||
\(628\) | 22.6030 | + | 3.98552i | 0.901957 | + | 0.159039i | ||||
\(629\) | −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 | \(0.788354\pi\) | |||||||
\(632\) | −0.266028 | − | 0.730905i | −0.0105820 | − | 0.0290738i | ||||
\(633\) | 40.2002 | + | 10.5507i | 1.59781 | + | 0.419353i | ||||
\(634\) | −2.65189 | + | 2.22520i | −0.105320 | + | 0.0883741i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −3.97070 | + | 1.08582i | −0.157448 | + | 0.0430557i | ||||
\(637\) | −0.0324790 | − | 0.0892352i | −0.00128686 | − | 0.00353563i | ||||
\(638\) | 14.6498 | − | 8.45809i | 0.579993 | − | 0.334859i | ||||
\(639\) | 11.8756 | + | 13.8613i | 0.469793 | + | 0.548344i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −0.870188 | + | 4.93508i | −0.0343704 | + | 0.194924i | −0.997158 | − | 0.0753337i | \(-0.975998\pi\) |
0.962788 | + | 0.270258i | \(0.0871089\pi\) | |||||||
\(642\) | −6.68277 | − | 4.62838i | −0.263748 | − | 0.182667i | ||||
\(643\) | −0.560367 | + | 1.53960i | −0.0220987 | + | 0.0607157i | −0.950251 | − | 0.311484i | \(-0.899174\pi\) |
0.928153 | + | 0.372199i | \(0.121396\pi\) | |||||||
\(644\) | 0.433147 | + | 2.45650i | 0.0170684 | + | 0.0967997i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0.416126 | + | 0.349171i | 0.0163722 | + | 0.0137379i | ||||
\(647\) | 34.4927i | 1.35605i | 0.735040 | + | 0.678024i | \(0.237164\pi\) | ||||
−0.735040 | + | 0.678024i | \(0.762836\pi\) | |||||||
\(648\) | 14.1420 | + | 2.19521i | 0.555550 | + | 0.0862359i | ||||
\(649\) | −19.3056 | −0.757813 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −0.786571 | − | 8.48840i | −0.0308282 | − | 0.332687i | ||||
\(652\) | 5.96515 | − | 1.05182i | 0.233613 | − | 0.0411923i | ||||
\(653\) | −13.2569 | + | 36.4230i | −0.518783 | + | 1.42534i | 0.353080 | + | 0.935593i | \(0.385134\pi\) |
−0.871862 | + | 0.489751i | \(0.837088\pi\) | |||||||
\(654\) | −5.94223 | + | 8.57980i | −0.232360 | + | 0.335497i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 5.50161 | − | 9.52907i | 0.214802 | − | 0.372048i | ||||
\(657\) | −1.54764 | − | 0.545365i | −0.0603792 | − | 0.0212767i | ||||
\(658\) | 3.37015 | − | 1.94575i | 0.131382 | − | 0.0758534i | ||||
\(659\) | 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 | \(0.433384\pi\) | |||||||
\(662\) | 1.71457 | + | 2.04335i | 0.0666387 | + | 0.0794169i | ||||
\(663\) | −0.0947785 | − | 0.0248750i | −0.00368089 | − | 0.000966065i | ||||
\(664\) | 6.89399 | − | 2.50921i | 0.267539 | − | 0.0973761i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −0.0566265 | − | 5.51472i | −0.00219423 | − | 0.213691i | ||||
\(667\) | −6.99375 | − | 4.03784i | −0.270799 | − | 0.156346i | ||||
\(668\) | −37.0057 | − | 6.52510i | −1.43179 | − | 0.252464i | ||||
\(669\) | −37.3935 | − | 3.07815i | −1.44572 | − | 0.119008i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −6.26159 | − | 35.5112i | −0.241726 | − | 1.37090i | ||||
\(672\) | 4.22656 | − | 9.18674i | 0.163043 | − | 0.354386i | ||||
\(673\) | −17.0121 | + | 20.2742i | −0.655768 | + | 0.781514i | −0.986772 | − | 0.162115i | \(-0.948168\pi\) |
0.331003 | + | 0.943630i | \(0.392613\pi\) | |||||||
\(674\) | 3.10557 | 0.119622 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 23.7554 | 0.913671 | ||||||||
\(677\) | −19.9694 | + | 23.7986i | −0.767486 | + | 0.914654i | −0.998296 | − | 0.0583448i | \(-0.981418\pi\) |
0.230811 | + | 0.972999i | \(0.425862\pi\) | |||||||
\(678\) | 5.22143 | + | 7.37609i | 0.200528 | + | 0.283277i | ||||
\(679\) | 2.27807 | + | 12.9196i | 0.0874245 | + | 0.495809i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −16.0160 | − | 33.8910i | −0.613734 | − | 1.29871i | ||||
\(682\) | 7.95842 | + | 1.40328i | 0.304744 | + | 0.0537345i | ||||
\(683\) | 33.0268 | + | 19.0681i | 1.26374 | + | 0.729619i | 0.973796 | − | 0.227425i | \(-0.0730308\pi\) |
0.289942 | + | 0.957044i | \(0.406364\pi\) | |||||||
\(684\) | 2.25719 | + | 0.374149i | 0.0863060 | + | 0.0143060i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 6.31558 | − | 2.29868i | 0.241130 | − | 0.0877642i | ||||
\(687\) | 13.1657 | − | 13.3016i | 0.502303 | − | 0.507487i | ||||
\(688\) | 15.9892 | + | 19.0552i | 0.609583 | + | 0.726472i | ||||
\(689\) | −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 | \(0.604341\pi\) | |||||||
\(692\) | −22.2085 | + | 12.8221i | −0.844242 | + | 0.487424i | ||||
\(693\) | −19.3277 | + | 7.26030i | −0.734198 | + | 0.275796i | ||||
\(694\) | 6.53414 | − | 11.3175i | 0.248033 | − | 0.429605i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 9.18742 | + | 19.4413i | 0.348248 | + | 0.736919i | ||||
\(697\) | 3.93762 | − | 10.8185i | 0.149148 | − | 0.409781i | ||||
\(698\) | −4.84968 | + | 0.855130i | −0.183563 | + | 0.0323672i | ||||
\(699\) | −10.7992 | + | 7.64461i | −0.408463 | + | 0.289146i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −2.30710 | −0.0871381 | −0.0435690 | − | 0.999050i | \(-0.513873\pi\) | ||||
−0.0435690 | + | 0.999050i | \(0.513873\pi\) | |||||||
\(702\) | 0.0374969 | − | 0.0106689i | 0.00141523 | − | 0.000402671i | ||||
\(703\) | − | 1.84668i | − | 0.0696490i | ||||||
\(704\) | −16.5800 | − | 13.9123i | −0.624881 | − | 0.524338i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0.592100 | + | 3.35796i | 0.0222840 | + | 0.126379i | ||||
\(707\) | −6.22826 | + | 17.1120i | −0.234238 | + | 0.643563i | ||||
\(708\) | 0.961241 | − | 11.6772i | 0.0361257 | − | 0.438857i | ||||
\(709\) | 1.93654 | − | 10.9826i | 0.0727281 | − | 0.412462i | −0.926608 | − | 0.376029i | \(-0.877289\pi\) |
0.999336 | − | 0.0364329i | \(-0.0115995\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −1.27830 | − | 0.720629i | −0.0479400 | − | 0.0270257i | ||||
\(712\) | −4.64508 | + | 2.68184i | −0.174082 | + | 0.100506i | ||||
\(713\) | −1.31948 | − | 3.62525i | −0.0494151 | − | 0.135767i | ||||
\(714\) | 0.755212 | − | 2.87750i | 0.0282631 | − | 0.107688i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −14.2646 | + | 11.9694i | −0.533092 | + | 0.447317i | ||||
\(717\) | 1.47637 | + | 5.39888i | 0.0551362 | + | 0.201625i | ||||
\(718\) | −2.51901 | − | 6.92093i | −0.0940087 | − | 0.258287i | ||||
\(719\) | −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 | ||||
\(722\) | 7.70267 | + | 1.35819i | 0.286664 | + | 0.0505465i | ||||
\(723\) | −37.7972 | − | 26.1777i | −1.40569 | − | 0.973560i | ||||
\(724\) | −41.3064 | − | 15.0343i | −1.53514 | − | 0.558745i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −1.07552 | − | 11.6066i | −0.0399163 | − | 0.430762i | ||||
\(727\) | 3.44888 | − | 4.11022i | 0.127912 | − | 0.152440i | −0.698287 | − | 0.715818i | \(-0.746054\pi\) |
0.826199 | + | 0.563378i | \(0.190499\pi\) | |||||||
\(728\) | − | 0.0378942i | − | 0.00140445i | ||||||
\(729\) | 22.9558 | − | 14.2138i | 0.850215 | − | 0.526435i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 19.9377 | + | 16.7297i | 0.737424 | + | 0.618772i | ||||
\(732\) | 21.7911 | − | 2.01926i | 0.805422 | − | 0.0746338i | ||||
\(733\) | −14.3746 | + | 2.53463i | −0.530938 | + | 0.0936187i | −0.432689 | − | 0.901543i | \(-0.642435\pi\) |
−0.0982489 | + | 0.995162i | \(0.531324\pi\) | |||||||
\(734\) | 7.93296 | + | 2.88736i | 0.292811 | + | 0.106574i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0.794682 | − | 4.50687i | 0.0292924 | − | 0.166125i | ||||
\(737\) | −49.8023 | − | 28.7534i | −1.83449 | − | 1.05915i | ||||
\(738\) | 0.841659 | + | 4.50245i | 0.0309819 | + | 0.165737i | ||||
\(739\) | −21.6083 | − | 37.4266i | −0.794873 | − | 1.37676i | −0.922920 | − | 0.384992i | \(-0.874204\pi\) |
0.128047 | − | 0.991768i | \(-0.459129\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0.0125917 | − | 0.00344333i | 0.000462569 | − | 0.000126494i | ||||
\(742\) | −0.458343 | − | 0.546231i | −0.0168263 | − | 0.0200528i | ||||
\(743\) | −5.21443 | − | 6.21431i | −0.191299 | − | 0.227981i | 0.661866 | − | 0.749622i | \(-0.269765\pi\) |
−0.853165 | + | 0.521641i | \(0.825320\pi\) | |||||||
\(744\) | −2.60770 | + | 9.93582i | −0.0956028 | + | 0.364265i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −2.01116 | − | 3.48342i | −0.0736336 | − | 0.127537i | ||||
\(747\) | 6.79706 | − | 12.0571i | 0.248692 | − | 0.441146i | ||||
\(748\) | −25.8561 | − | 14.9280i | −0.945393 | − | 0.545823i | ||||
\(749\) | −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 | \(0.662178\pi\) | |||||||
\(752\) | 20.9291 | − | 3.69037i | 0.763207 | − | 0.134574i | ||||
\(753\) | 3.25717 | − | 7.07968i | 0.118698 | − | 0.257998i | ||||
\(754\) | 0.0448713 | + | 0.0376515i | 0.00163412 | + | 0.00137119i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −3.42913 | − | 12.0520i | −0.124716 | − | 0.438329i | ||||
\(757\) | − | 32.1511i | − | 1.16855i | −0.811555 | − | 0.584276i | \(-0.801378\pi\) | ||
0.811555 | − | 0.584276i | \(-0.198622\pi\) | |||||||
\(758\) | 1.10269 | − | 1.31414i | 0.0400515 | − | 0.0477316i | ||||
\(759\) | −7.62620 | + | 5.39848i | −0.276813 | + | 0.195952i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 23.0656 | + | 8.39520i | 0.836128 | + | 0.304326i | 0.724371 | − | 0.689410i | \(-0.242130\pi\) |
0.111756 | + | 0.993736i | \(0.464352\pi\) | |||||||
\(762\) | 5.46192 | − | 2.58116i | 0.197865 | − | 0.0935054i | ||||
\(763\) | 18.8481 | + | 3.32342i | 0.682346 | + | 0.120316i | ||||
\(764\) | −10.0016 | + | 17.3233i | −0.361846 | + | 0.626736i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0.986770 | + | 1.70914i | 0.0356535 | + | 0.0617536i | ||||
\(767\) | −0.0228638 | − | 0.0628177i | −0.000825563 | − | 0.00226822i | ||||
\(768\) | 4.76119 | − | 4.81033i | 0.171805 | − | 0.173578i | ||||
\(769\) | −24.0648 | + | 20.1928i | −0.867800 | + | 0.728170i | −0.963634 | − | 0.267227i | \(-0.913893\pi\) |
0.0958338 | + | 0.995397i | \(0.469448\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 16.9085 | + | 16.7358i | 0.608945 | + | 0.602725i | ||||
\(772\) | −6.75377 | − | 18.5558i | −0.243073 | − | 0.667839i | ||||
\(773\) | −24.8675 | + | 14.3573i | −0.894422 | + | 0.516395i | −0.875386 | − | 0.483424i | \(-0.839393\pi\) |
−0.0190355 | + | 0.999819i | \(0.506060\pi\) | |||||||
\(774\) | −10.2155 | − | 1.69331i | −0.367190 | − | 0.0608649i |