Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [504,2,Mod(277,504)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(504, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 4, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("504.277");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 504 = 2^{3} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 504.cq (of order \(6\), degree \(2\), 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: | \(4.02446026187\) |
Analytic rank: | \(0\) |
Dimension: | \(184\) |
Relative dimension: | \(92\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 277.10 | ||
Character | \(\chi\) | \(=\) | 504.277 |
Dual form | 504.2.cq.a.373.9 |
$q$-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 \(\left(\mathbb{Z}/504\mathbb{Z}\right)^\times\).
\(n\) | \(73\) | \(127\) | \(253\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.37280 | + | 0.339745i | −0.970715 | + | 0.240236i | ||||
\(3\) | 0.0247783 | − | 1.73187i | 0.0143058 | − | 0.999898i | ||||
\(4\) | 1.76915 | − | 0.932801i | 0.884574 | − | 0.466401i | ||||
\(5\) | 0.736012 | + | 0.424937i | 0.329155 | + | 0.190037i | 0.655466 | − | 0.755225i | \(-0.272472\pi\) |
−0.326311 | + | 0.945262i | \(0.605806\pi\) | |||||||
\(6\) | 0.554379 | + | 2.38593i | 0.226324 | + | 0.974052i | ||||
\(7\) | 1.20653 | − | 2.35463i | 0.456024 | − | 0.889967i | ||||
\(8\) | −2.11177 | + | 1.88161i | −0.746622 | + | 0.665248i | ||||
\(9\) | −2.99877 | − | 0.0858258i | −0.999591 | − | 0.0286086i | ||||
\(10\) | −1.15477 | − | 0.333296i | −0.365169 | − | 0.105397i | ||||
\(11\) | 3.81307 | − | 2.20148i | 1.14969 | − | 0.663771i | 0.200875 | − | 0.979617i | \(-0.435622\pi\) |
0.948811 | + | 0.315846i | \(0.102288\pi\) | |||||||
\(12\) | −1.57166 | − | 3.08705i | −0.453698 | − | 0.891155i | ||||
\(13\) | 0.317982 | − | 0.183587i | 0.0881924 | − | 0.0509179i | −0.455255 | − | 0.890361i | \(-0.650452\pi\) |
0.543448 | + | 0.839443i | \(0.317119\pi\) | |||||||
\(14\) | −0.856343 | + | 3.64234i | −0.228867 | + | 0.973458i | ||||
\(15\) | 0.754174 | − | 1.26415i | 0.194727 | − | 0.326402i | ||||
\(16\) | 2.25976 | − | 3.30053i | 0.564941 | − | 0.825131i | ||||
\(17\) | −0.847100 | + | 1.46722i | −0.205452 | + | 0.355853i | −0.950277 | − | 0.311407i | \(-0.899200\pi\) |
0.744825 | + | 0.667260i | \(0.232533\pi\) | |||||||
\(18\) | 4.14587 | − | 0.900995i | 0.977190 | − | 0.212367i | ||||
\(19\) | 4.22368 | − | 2.43854i | 0.968978 | − | 0.559439i | 0.0700532 | − | 0.997543i | \(-0.477683\pi\) |
0.898924 | + | 0.438104i | \(0.144350\pi\) | |||||||
\(20\) | 1.69850 | + | 0.0652226i | 0.379795 | + | 0.0145842i | ||||
\(21\) | −4.04803 | − | 2.14790i | −0.883353 | − | 0.468709i | ||||
\(22\) | −4.48664 | + | 4.31766i | −0.956555 | + | 0.920528i | ||||
\(23\) | −2.55099 | + | 4.41844i | −0.531917 | + | 0.921308i | 0.467389 | + | 0.884052i | \(0.345195\pi\) |
−0.999306 | + | 0.0372556i | \(0.988138\pi\) | |||||||
\(24\) | 3.20638 | + | 3.70394i | 0.654499 | + | 0.756063i | ||||
\(25\) | −2.13886 | − | 3.70461i | −0.427772 | − | 0.740922i | ||||
\(26\) | −0.374152 | + | 0.360061i | −0.0733773 | + | 0.0706137i | ||||
\(27\) | −0.222944 | + | 5.19137i | −0.0429056 | + | 0.999079i | ||||
\(28\) | −0.0618813 | − | 5.29114i | −0.0116945 | − | 0.999932i | ||||
\(29\) | 0.526684 | + | 0.304081i | 0.0978028 | + | 0.0564665i | 0.548104 | − | 0.836410i | \(-0.315350\pi\) |
−0.450301 | + | 0.892877i | \(0.648683\pi\) | |||||||
\(30\) | −0.605840 | + | 1.99165i | −0.110611 | + | 0.363624i | ||||
\(31\) | −2.43447 | −0.437244 | −0.218622 | − | 0.975810i | \(-0.570156\pi\) | ||||
−0.218622 | + | 0.975810i | \(0.570156\pi\) | |||||||
\(32\) | −1.98086 | + | 5.29870i | −0.350170 | + | 0.936686i | ||||
\(33\) | −3.71820 | − | 6.65831i | −0.647256 | − | 1.15906i | ||||
\(34\) | 0.664417 | − | 2.30199i | 0.113947 | − | 0.394789i | ||||
\(35\) | 1.88859 | − | 1.22034i | 0.319230 | − | 0.206275i | ||||
\(36\) | −5.38533 | + | 2.64542i | −0.897555 | + | 0.440903i | ||||
\(37\) | 5.30529 | − | 3.06301i | 0.872184 | − | 0.503555i | 0.00411032 | − | 0.999992i | \(-0.498692\pi\) |
0.868073 | + | 0.496436i | \(0.165358\pi\) | |||||||
\(38\) | −4.96977 | + | 4.78259i | −0.806203 | + | 0.775839i | ||||
\(39\) | −0.310071 | − | 0.555254i | −0.0496510 | − | 0.0889118i | ||||
\(40\) | −2.35385 | + | 0.487517i | −0.372176 | + | 0.0770832i | ||||
\(41\) | −4.57825 | − | 7.92976i | −0.715002 | − | 1.23842i | −0.962959 | − | 0.269649i | \(-0.913092\pi\) |
0.247957 | − | 0.968771i | \(-0.420241\pi\) | |||||||
\(42\) | 6.28686 | + | 1.57333i | 0.970084 | + | 0.242770i | ||||
\(43\) | −4.78958 | − | 2.76527i | −0.730404 | − | 0.421699i | 0.0881659 | − | 0.996106i | \(-0.471899\pi\) |
−0.818570 | + | 0.574407i | \(0.805233\pi\) | |||||||
\(44\) | 4.69235 | − | 7.45158i | 0.707398 | − | 1.12337i | ||||
\(45\) | −2.17066 | − | 1.33746i | −0.323583 | − | 0.199376i | ||||
\(46\) | 2.00085 | − | 6.93230i | 0.295009 | − | 1.02211i | ||||
\(47\) | 1.52048 | 0.221785 | 0.110892 | − | 0.993832i | \(-0.464629\pi\) | ||||
0.110892 | + | 0.993832i | \(0.464629\pi\) | |||||||
\(48\) | −5.66010 | − | 3.99541i | −0.816965 | − | 0.576687i | ||||
\(49\) | −4.08859 | − | 5.68185i | −0.584084 | − | 0.811693i | ||||
\(50\) | 4.19484 | + | 4.35901i | 0.593240 | + | 0.616458i | ||||
\(51\) | 2.52005 | + | 1.50343i | 0.352878 | + | 0.210522i | ||||
\(52\) | 0.391307 | − | 0.621407i | 0.0542645 | − | 0.0861736i | ||||
\(53\) | 2.23363 | + | 1.28958i | 0.306812 | + | 0.177138i | 0.645499 | − | 0.763761i | \(-0.276649\pi\) |
−0.338687 | + | 0.940899i | \(0.609983\pi\) | |||||||
\(54\) | −1.45768 | − | 7.20244i | −0.198365 | − | 0.980128i | ||||
\(55\) | 3.74196 | 0.504565 | ||||||||
\(56\) | 1.88259 | + | 7.24264i | 0.251571 | + | 0.967839i | ||||
\(57\) | −4.11859 | − | 7.37529i | −0.545520 | − | 0.976882i | ||||
\(58\) | −0.826341 | − | 0.238504i | −0.108504 | − | 0.0313171i | ||||
\(59\) | − | 6.33770i | − | 0.825098i | −0.910935 | − | 0.412549i | \(-0.864639\pi\) | ||
0.910935 | − | 0.412549i | \(-0.135361\pi\) | |||||||
\(60\) | 0.155043 | − | 2.93996i | 0.0200160 | − | 0.379548i | ||||
\(61\) | 2.41038i | 0.308617i | 0.988023 | + | 0.154309i | \(0.0493150\pi\) | ||||
−0.988023 | + | 0.154309i | \(0.950685\pi\) | |||||||
\(62\) | 3.34204 | − | 0.827098i | 0.424439 | − | 0.105042i | ||||
\(63\) | −3.82019 | + | 6.95745i | −0.481298 | + | 0.876557i | ||||
\(64\) | 0.919119 | − | 7.94703i | 0.114890 | − | 0.993378i | ||||
\(65\) | 0.312052 | 0.0387052 | ||||||||
\(66\) | 7.36647 | + | 7.87728i | 0.906749 | + | 0.969626i | ||||
\(67\) | − | 2.91099i | − | 0.355634i | −0.984064 | − | 0.177817i | \(-0.943096\pi\) | ||
0.984064 | − | 0.177817i | \(-0.0569036\pi\) | |||||||
\(68\) | −0.130020 | + | 3.38590i | −0.0157672 | + | 0.410601i | ||||
\(69\) | 7.58896 | + | 4.52747i | 0.913604 | + | 0.545043i | ||||
\(70\) | −2.17804 | + | 2.31692i | −0.260326 | + | 0.276925i | ||||
\(71\) | 2.45918 | 0.291851 | 0.145925 | − | 0.989296i | \(-0.453384\pi\) | ||||
0.145925 | + | 0.989296i | \(0.453384\pi\) | |||||||
\(72\) | 6.49420 | − | 5.46126i | 0.765349 | − | 0.643616i | ||||
\(73\) | −5.34970 | + | 9.26595i | −0.626135 | + | 1.08450i | 0.362185 | + | 0.932106i | \(0.382031\pi\) |
−0.988320 | + | 0.152391i | \(0.951303\pi\) | |||||||
\(74\) | −6.24244 | + | 6.00733i | −0.725669 | + | 0.698338i | ||||
\(75\) | −6.46891 | + | 3.61244i | −0.746966 | + | 0.417128i | ||||
\(76\) | 5.19763 | − | 8.25399i | 0.596209 | − | 0.946797i | ||||
\(77\) | −0.583100 | − | 11.6345i | −0.0664504 | − | 1.32588i | ||||
\(78\) | 0.614309 | + | 0.656906i | 0.0695568 | + | 0.0743800i | ||||
\(79\) | 9.66365 | 1.08725 | 0.543623 | − | 0.839330i | \(-0.317052\pi\) | ||||
0.543623 | + | 0.839330i | \(0.317052\pi\) | |||||||
\(80\) | 3.06573 | − | 1.46897i | 0.342759 | − | 0.164236i | ||||
\(81\) | 8.98527 | + | 0.514744i | 0.998363 | + | 0.0571938i | ||||
\(82\) | 8.97910 | + | 9.33052i | 0.991576 | + | 1.03038i | ||||
\(83\) | 9.88352 | + | 5.70625i | 1.08486 | + | 0.626343i | 0.932203 | − | 0.361937i | \(-0.117884\pi\) |
0.152655 | + | 0.988280i | \(0.451218\pi\) | |||||||
\(84\) | −9.16512 | − | 0.0239349i | −0.999997 | − | 0.00261151i | ||||
\(85\) | −1.24695 | + | 0.719928i | −0.135251 | + | 0.0780871i | ||||
\(86\) | 7.51461 | + | 2.16892i | 0.810321 | + | 0.233880i | ||||
\(87\) | 0.539681 | − | 0.904616i | 0.0578598 | − | 0.0969850i | ||||
\(88\) | −3.91001 | + | 11.8237i | −0.416808 | + | 1.26041i | ||||
\(89\) | −7.67117 | − | 13.2869i | −0.813143 | − | 1.40840i | −0.910654 | − | 0.413170i | \(-0.864422\pi\) |
0.0975113 | − | 0.995234i | \(-0.468912\pi\) | |||||||
\(90\) | 3.43427 | + | 1.09859i | 0.362004 | + | 0.115801i | ||||
\(91\) | −0.0486262 | − | 0.970234i | −0.00509741 | − | 0.101708i | ||||
\(92\) | −0.391545 | + | 10.1964i | −0.0408214 | + | 1.06305i | ||||
\(93\) | −0.0603220 | + | 4.21620i | −0.00625510 | + | 0.437199i | ||||
\(94\) | −2.08731 | + | 0.516575i | −0.215290 | + | 0.0532806i | ||||
\(95\) | 4.14490 | 0.425258 | ||||||||
\(96\) | 9.12759 | + | 3.56190i | 0.931581 | + | 0.363534i | ||||
\(97\) | −0.0608705 | + | 0.105431i | −0.00618047 | + | 0.0107049i | −0.869099 | − | 0.494638i | \(-0.835301\pi\) |
0.862919 | + | 0.505343i | \(0.168634\pi\) | |||||||
\(98\) | 7.54318 | + | 6.41096i | 0.761977 | + | 0.647605i | ||||
\(99\) | −11.6235 | + | 6.27448i | −1.16820 | + | 0.630609i | ||||
\(100\) | −7.23962 | − | 4.55887i | −0.723962 | − | 0.455887i | ||||
\(101\) | −13.4083 | + | 7.74127i | −1.33417 | + | 0.770285i | −0.985936 | − | 0.167122i | \(-0.946553\pi\) |
−0.348236 | + | 0.937407i | \(0.613219\pi\) | |||||||
\(102\) | −3.97030 | − | 1.20773i | −0.393118 | − | 0.119583i | ||||
\(103\) | −7.70095 | + | 13.3384i | −0.758797 | + | 1.31428i | 0.184667 | + | 0.982801i | \(0.440879\pi\) |
−0.943464 | + | 0.331474i | \(0.892454\pi\) | |||||||
\(104\) | −0.326066 | + | 0.986010i | −0.0319734 | + | 0.0966863i | ||||
\(105\) | −2.06668 | − | 3.30103i | −0.201687 | − | 0.322148i | ||||
\(106\) | −3.50444 | − | 1.01148i | −0.340382 | − | 0.0982432i | ||||
\(107\) | −7.34461 | + | 4.24041i | −0.710030 | + | 0.409936i | −0.811072 | − | 0.584946i | \(-0.801116\pi\) |
0.101042 | + | 0.994882i | \(0.467782\pi\) | |||||||
\(108\) | 4.44809 | + | 9.39226i | 0.428018 | + | 0.903770i | ||||
\(109\) | 14.7310 | + | 8.50495i | 1.41097 | + | 0.814627i | 0.995480 | − | 0.0949692i | \(-0.0302752\pi\) |
0.415494 | + | 0.909596i | \(0.363609\pi\) | |||||||
\(110\) | −5.13695 | + | 1.27131i | −0.489789 | + | 0.121215i | ||||
\(111\) | −5.17329 | − | 9.26398i | −0.491027 | − | 0.879298i | ||||
\(112\) | −5.04506 | − | 9.30308i | −0.476713 | − | 0.879059i | ||||
\(113\) | 8.76146 | + | 15.1753i | 0.824209 | + | 1.42757i | 0.902522 | + | 0.430643i | \(0.141713\pi\) |
−0.0783131 | + | 0.996929i | \(0.524953\pi\) | |||||||
\(114\) | 8.15970 | + | 8.72552i | 0.764226 | + | 0.817220i | ||||
\(115\) | −3.75511 | + | 2.16801i | −0.350166 | + | 0.202168i | ||||
\(116\) | 1.21543 | + | 0.0466728i | 0.112850 | + | 0.00433346i | ||||
\(117\) | −0.969313 | + | 0.523245i | −0.0896130 | + | 0.0483740i | ||||
\(118\) | 2.15320 | + | 8.70038i | 0.198218 | + | 0.800935i | ||||
\(119\) | 2.43272 | + | 3.76485i | 0.223007 | + | 0.345123i | ||||
\(120\) | 0.785994 | + | 4.08865i | 0.0717511 | + | 0.373241i | ||||
\(121\) | 4.19302 | − | 7.26253i | 0.381184 | − | 0.660230i | ||||
\(122\) | −0.818913 | − | 3.30896i | −0.0741409 | − | 0.299579i | ||||
\(123\) | −13.8468 | + | 7.73246i | −1.24852 | + | 0.697212i | ||||
\(124\) | −4.30694 | + | 2.27088i | −0.386774 | + | 0.203931i | ||||
\(125\) | − | 7.88488i | − | 0.705245i | ||||||
\(126\) | 2.88058 | − | 10.8491i | 0.256623 | − | 0.966512i | ||||
\(127\) | 16.5579 | 1.46927 | 0.734636 | − | 0.678462i | \(-0.237353\pi\) | ||||
0.734636 | + | 0.678462i | \(0.237353\pi\) | |||||||
\(128\) | 1.43819 | + | 11.2219i | 0.127120 | + | 0.991887i | ||||
\(129\) | −4.90777 | + | 8.22643i | −0.432105 | + | 0.724297i | ||||
\(130\) | −0.428384 | + | 0.106018i | −0.0375717 | + | 0.00929838i | ||||
\(131\) | −5.87661 | − | 3.39286i | −0.513442 | − | 0.296436i | 0.220805 | − | 0.975318i | \(-0.429131\pi\) |
−0.734247 | + | 0.678882i | \(0.762465\pi\) | |||||||
\(132\) | −12.7889 | − | 8.31119i | −1.11313 | − | 0.723396i | ||||
\(133\) | −0.645889 | − | 12.8874i | −0.0560057 | − | 1.11748i | ||||
\(134\) | 0.988994 | + | 3.99620i | 0.0854361 | + | 0.345219i | ||||
\(135\) | −2.37009 | + | 3.72617i | −0.203985 | + | 0.320698i | ||||
\(136\) | −0.971852 | − | 4.69233i | −0.0833356 | − | 0.402364i | ||||
\(137\) | 4.79280 | + | 8.30138i | 0.409477 | + | 0.709235i | 0.994831 | − | 0.101543i | \(-0.0323779\pi\) |
−0.585354 | + | 0.810778i | \(0.699045\pi\) | |||||||
\(138\) | −11.9563 | − | 3.63698i | −1.01779 | − | 0.309601i | ||||
\(139\) | 12.4160 | − | 7.16836i | 1.05311 | − | 0.608013i | 0.129591 | − | 0.991568i | \(-0.458634\pi\) |
0.923518 | + | 0.383555i | \(0.125300\pi\) | |||||||
\(140\) | 2.20285 | − | 3.92064i | 0.186175 | − | 0.331354i | ||||
\(141\) | 0.0376749 | − | 2.63328i | 0.00317280 | − | 0.221762i | ||||
\(142\) | −3.37595 | + | 0.835493i | −0.283304 | + | 0.0701130i | ||||
\(143\) | 0.808326 | − | 1.40006i | 0.0675957 | − | 0.117079i | ||||
\(144\) | −7.05979 | + | 9.70358i | −0.588315 | + | 0.808632i | ||||
\(145\) | 0.258431 | + | 0.447615i | 0.0214615 | + | 0.0371724i | ||||
\(146\) | 4.19600 | − | 14.5378i | 0.347263 | − | 1.20316i | ||||
\(147\) | −9.94156 | + | 6.94013i | −0.819966 | + | 0.572412i | ||||
\(148\) | 6.52865 | − | 10.3677i | 0.536652 | − | 0.852219i | ||||
\(149\) | −8.85243 | − | 5.11095i | −0.725220 | − | 0.418706i | 0.0914512 | − | 0.995810i | \(-0.470849\pi\) |
−0.816671 | + | 0.577104i | \(0.804183\pi\) | |||||||
\(150\) | 7.65320 | − | 7.15692i | 0.624881 | − | 0.584360i | ||||
\(151\) | 9.55827 | + | 16.5554i | 0.777841 | + | 1.34726i | 0.933184 | + | 0.359400i | \(0.117019\pi\) |
−0.155342 | + | 0.987861i | \(0.549648\pi\) | |||||||
\(152\) | −4.33105 | + | 13.0969i | −0.351294 | + | 1.06230i | ||||
\(153\) | 2.66618 | − | 4.32716i | 0.215548 | − | 0.349830i | ||||
\(154\) | 4.75325 | + | 15.7738i | 0.383028 | + | 1.27109i | ||||
\(155\) | −1.79180 | − | 1.03450i | −0.143921 | − | 0.0830927i | ||||
\(156\) | −1.06650 | − | 0.693092i | −0.0853885 | − | 0.0554917i | ||||
\(157\) | 18.1236i | 1.44642i | 0.690626 | + | 0.723212i | \(0.257335\pi\) | ||||
−0.690626 | + | 0.723212i | \(0.742665\pi\) | |||||||
\(158\) | −13.2662 | + | 3.28317i | −1.05540 | + | 0.261195i | ||||
\(159\) | 2.28874 | − | 3.83640i | 0.181509 | − | 0.304247i | ||||
\(160\) | −3.70955 | + | 3.05816i | −0.293266 | + | 0.241769i | ||||
\(161\) | 7.32596 | + | 11.3376i | 0.577367 | + | 0.893528i | ||||
\(162\) | −12.5098 | + | 2.34606i | −0.982866 | + | 0.184324i | ||||
\(163\) | 2.81654 | − | 1.62613i | 0.220609 | − | 0.127369i | −0.385623 | − | 0.922656i | \(-0.626014\pi\) |
0.606232 | + | 0.795288i | \(0.292680\pi\) | |||||||
\(164\) | −15.4965 | − | 9.75831i | −1.21007 | − | 0.761996i | ||||
\(165\) | 0.0927194 | − | 6.48060i | 0.00721819 | − | 0.504514i | ||||
\(166\) | −15.5067 | − | 4.47566i | −1.20356 | − | 0.347378i | ||||
\(167\) | 3.48505 | + | 6.03628i | 0.269681 | + | 0.467101i | 0.968779 | − | 0.247924i | \(-0.0797484\pi\) |
−0.699098 | + | 0.715025i | \(0.746415\pi\) | |||||||
\(168\) | 12.5900 | − | 3.08094i | 0.971339 | − | 0.237700i | ||||
\(169\) | −6.43259 | + | 11.1416i | −0.494815 | + | 0.857044i | ||||
\(170\) | 1.46722 | − | 1.41196i | 0.112531 | − | 0.108292i | ||||
\(171\) | −12.8751 | + | 6.95013i | −0.984586 | + | 0.531489i | ||||
\(172\) | −11.0529 | − | 0.424435i | −0.842777 | − | 0.0323628i | ||||
\(173\) | − | 11.6604i | − | 0.886524i | −0.896392 | − | 0.443262i | \(-0.853821\pi\) | ||
0.896392 | − | 0.443262i | \(-0.146179\pi\) | |||||||
\(174\) | −0.433534 | + | 1.42521i | −0.0328661 | + | 0.108045i | ||||
\(175\) | −11.3036 | + | 0.566513i | −0.854471 | + | 0.0428244i | ||||
\(176\) | 1.35061 | − | 17.5600i | 0.101806 | − | 1.32363i | ||||
\(177\) | −10.9761 | − | 0.157037i | −0.825014 | − | 0.0118037i | ||||
\(178\) | 15.0451 | + | 15.6339i | 1.12768 | + | 1.17181i | ||||
\(179\) | 19.6597 | + | 11.3505i | 1.46943 | + | 0.848378i | 0.999412 | − | 0.0342777i | \(-0.0109131\pi\) |
0.470021 | + | 0.882655i | \(0.344246\pi\) | |||||||
\(180\) | −5.08780 | − | 0.341362i | −0.379222 | − | 0.0254437i | ||||
\(181\) | 14.8117i | 1.10095i | 0.834852 | + | 0.550474i | \(0.185553\pi\) | ||||
−0.834852 | + | 0.550474i | \(0.814447\pi\) | |||||||
\(182\) | 0.396386 | + | 1.31541i | 0.0293821 | + | 0.0975050i | ||||
\(183\) | 4.17447 | + | 0.0597251i | 0.308586 | + | 0.00441500i | ||||
\(184\) | −2.92667 | − | 14.1307i | −0.215757 | − | 1.04173i | ||||
\(185\) | 5.20634 | 0.382778 | ||||||||
\(186\) | −1.34962 | − | 5.80848i | −0.0989589 | − | 0.425898i | ||||
\(187\) | 7.45949i | 0.545492i | ||||||||
\(188\) | 2.68995 | − | 1.41831i | 0.196185 | − | 0.103441i | ||||
\(189\) | 11.9548 | + | 6.78847i | 0.869582 | + | 0.493789i | ||||
\(190\) | −5.69011 | + | 1.40821i | −0.412804 | + | 0.102162i | ||||
\(191\) | 13.2076 | 0.955669 | 0.477835 | − | 0.878450i | \(-0.341422\pi\) | ||||
0.477835 | + | 0.878450i | \(0.341422\pi\) | |||||||
\(192\) | −13.7405 | − | 1.78871i | −0.991633 | − | 0.129089i | ||||
\(193\) | 2.27661 | 0.163874 | 0.0819370 | − | 0.996638i | \(-0.473889\pi\) | ||||
0.0819370 | + | 0.996638i | \(0.473889\pi\) | |||||||
\(194\) | 0.0477434 | − | 0.165416i | 0.00342777 | − | 0.0118762i | ||||
\(195\) | 0.00773211 | − | 0.540434i | 0.000553708 | − | 0.0387013i | ||||
\(196\) | −12.5334 | − | 6.23819i | −0.895239 | − | 0.445585i | ||||
\(197\) | − | 26.8838i | − | 1.91539i | −0.287781 | − | 0.957696i | \(-0.592917\pi\) | ||
0.287781 | − | 0.957696i | \(-0.407083\pi\) | |||||||
\(198\) | 13.8250 | − | 12.5626i | 0.982498 | − | 0.892785i | ||||
\(199\) | 4.52188 | − | 7.83213i | 0.320548 | − | 0.555205i | −0.660053 | − | 0.751219i | \(-0.729466\pi\) |
0.980601 | + | 0.196014i | \(0.0627997\pi\) | |||||||
\(200\) | 11.4874 | + | 3.79879i | 0.812281 | + | 0.268615i | ||||
\(201\) | −5.04147 | − | 0.0721294i | −0.355598 | − | 0.00508762i | ||||
\(202\) | 15.7768 | − | 15.1826i | 1.11005 | − | 1.06824i | ||||
\(203\) | 1.35146 | − | 0.873265i | 0.0948537 | − | 0.0612912i | ||||
\(204\) | 5.86074 | + | 0.309074i | 0.410334 | + | 0.0216395i | ||||
\(205\) | − | 7.78186i | − | 0.543509i | ||||||
\(206\) | 6.04018 | − | 20.9273i | 0.420840 | − | 1.45808i | ||||
\(207\) | 8.02904 | − | 13.0309i | 0.558057 | − | 0.905713i | ||||
\(208\) | 0.112631 | − | 1.46437i | 0.00780952 | − | 0.101536i | ||||
\(209\) | 10.7368 | − | 18.5967i | 0.742679 | − | 1.28636i | ||||
\(210\) | 3.95864 | + | 3.82951i | 0.273172 | + | 0.264261i | ||||
\(211\) | 3.76018 | − | 2.17094i | 0.258861 | − | 0.149454i | −0.364954 | − | 0.931026i | \(-0.618915\pi\) |
0.623815 | + | 0.781572i | \(0.285582\pi\) | |||||||
\(212\) | 5.15454 | + | 0.197935i | 0.354015 | + | 0.0135943i | ||||
\(213\) | 0.0609342 | − | 4.25899i | 0.00417515 | − | 0.291821i | ||||
\(214\) | 8.64200 | − | 8.31652i | 0.590755 | − | 0.568505i | ||||
\(215\) | −2.35013 | − | 4.07054i | −0.160277 | − | 0.277608i | ||||
\(216\) | −9.29730 | − | 11.3825i | −0.632601 | − | 0.774478i | ||||
\(217\) | −2.93725 | + | 5.73228i | −0.199394 | + | 0.389133i | ||||
\(218\) | −23.1122 | − | 6.67080i | −1.56536 | − | 0.451803i | ||||
\(219\) | 15.9149 | + | 9.49460i | 1.07543 | + | 0.641585i | ||||
\(220\) | 6.62007 | − | 3.49050i | 0.446325 | − | 0.235330i | ||||
\(221\) | 0.622066i | 0.0418447i | ||||||||
\(222\) | 10.2493 | + | 10.9600i | 0.687886 | + | 0.735585i | ||||
\(223\) | −11.2442 | + | 19.4756i | −0.752970 | + | 1.30418i | 0.193407 | + | 0.981119i | \(0.438046\pi\) |
−0.946377 | + | 0.323064i | \(0.895287\pi\) | |||||||
\(224\) | 10.0865 | + | 11.0572i | 0.673934 | + | 0.738792i | ||||
\(225\) | 6.09600 | + | 11.2929i | 0.406400 | + | 0.752857i | ||||
\(226\) | −17.1834 | − | 17.8560i | −1.14303 | − | 1.18776i | ||||
\(227\) | 18.5242 | − | 10.6949i | 1.22949 | − | 0.709847i | 0.262568 | − | 0.964913i | \(-0.415431\pi\) |
0.966924 | + | 0.255066i | \(0.0820972\pi\) | |||||||
\(228\) | −14.1661 | − | 9.20616i | −0.938171 | − | 0.609693i | ||||
\(229\) | 22.1790 | + | 12.8050i | 1.46563 | + | 0.846181i | 0.999262 | − | 0.0384100i | \(-0.0122293\pi\) |
0.466367 | + | 0.884591i | \(0.345563\pi\) | |||||||
\(230\) | 4.41844 | − | 4.25202i | 0.291343 | − | 0.280370i | ||||
\(231\) | −20.1640 | + | 0.721571i | −1.32669 | + | 0.0474759i | ||||
\(232\) | −1.68440 | + | 0.348863i | −0.110586 | + | 0.0229040i | ||||
\(233\) | −12.2958 | − | 21.2969i | −0.805523 | − | 1.39521i | −0.915937 | − | 0.401322i | \(-0.868551\pi\) |
0.110414 | − | 0.993886i | \(-0.464782\pi\) | |||||||
\(234\) | 1.15290 | − | 1.04763i | 0.0753675 | − | 0.0684856i | ||||
\(235\) | 1.11909 | + | 0.646108i | 0.0730015 | + | 0.0421474i | ||||
\(236\) | −5.91181 | − | 11.2123i | −0.384826 | − | 0.729860i | ||||
\(237\) | 0.239449 | − | 16.7362i | 0.0155539 | − | 1.08713i | ||||
\(238\) | −4.61871 | − | 4.34187i | −0.299387 | − | 0.281442i | ||||
\(239\) | 6.86721 | + | 11.8944i | 0.444203 | + | 0.769382i | 0.997996 | − | 0.0632720i | \(-0.0201536\pi\) |
−0.553793 | + | 0.832654i | \(0.686820\pi\) | |||||||
\(240\) | −2.46811 | − | 5.34585i | −0.159316 | − | 0.345073i | ||||
\(241\) | 0.740013 | + | 1.28174i | 0.0476684 | + | 0.0825641i | 0.888875 | − | 0.458150i | \(-0.151488\pi\) |
−0.841207 | + | 0.540714i | \(0.818154\pi\) | |||||||
\(242\) | −3.28877 | + | 11.3945i | −0.211410 | + | 0.732469i | ||||
\(243\) | 1.11411 | − | 15.5486i | 0.0714702 | − | 0.997443i | ||||
\(244\) | 2.24840 | + | 4.26431i | 0.143939 | + | 0.272995i | ||||
\(245\) | −0.594821 | − | 5.91930i | −0.0380017 | − | 0.378170i | ||||
\(246\) | 16.3818 | − | 15.3195i | 1.04446 | − | 0.976734i | ||||
\(247\) | 0.895369 | − | 1.55082i | 0.0569710 | − | 0.0986766i | ||||
\(248\) | 5.14103 | − | 4.58071i | 0.326456 | − | 0.290876i | ||||
\(249\) | 10.1274 | − | 16.9756i | 0.641798 | − | 1.07579i | ||||
\(250\) | 2.67885 | + | 10.8244i | 0.169425 | + | 0.684592i | ||||
\(251\) | 0.293236i | 0.0185089i | 0.999957 | + | 0.00925445i | \(0.00294583\pi\) | ||||
−0.999957 | + | 0.00925445i | \(0.997054\pi\) | |||||||
\(252\) | −0.268548 | + | 15.8722i | −0.0169170 | + | 0.999857i | ||||
\(253\) | 22.4638i | 1.41228i | ||||||||
\(254\) | −22.7306 | + | 5.62544i | −1.42624 | + | 0.352972i | ||||
\(255\) | 1.21593 | + | 2.17740i | 0.0761443 | + | 0.136354i | ||||
\(256\) | −5.78694 | − | 14.9168i | −0.361684 | − | 0.932301i | ||||
\(257\) | −0.311341 | + | 0.539259i | −0.0194209 | + | 0.0336380i | −0.875573 | − | 0.483087i | \(-0.839516\pi\) |
0.856152 | + | 0.516725i | \(0.172849\pi\) | |||||||
\(258\) | 3.94249 | − | 12.9606i | 0.245449 | − | 0.806892i | ||||
\(259\) | −0.811290 | − | 16.1876i | −0.0504111 | − | 1.00585i | ||||
\(260\) | 0.552065 | − | 0.291082i | 0.0342376 | − | 0.0180521i | ||||
\(261\) | −1.55331 | − | 0.957073i | −0.0961473 | − | 0.0592414i | ||||
\(262\) | 9.22010 | + | 2.66117i | 0.569620 | + | 0.164407i | ||||
\(263\) | 5.11353 | + | 8.85690i | 0.315314 | + | 0.546140i | 0.979504 | − | 0.201424i | \(-0.0645568\pi\) |
−0.664190 | + | 0.747564i | \(0.731224\pi\) | |||||||
\(264\) | 20.3803 | + | 7.06461i | 1.25432 | + | 0.434797i | ||||
\(265\) | 1.09598 | + | 1.89830i | 0.0673257 | + | 0.116612i | ||||
\(266\) | 5.26509 | + | 17.4723i | 0.322823 | + | 1.07130i | ||||
\(267\) | −23.2012 | + | 12.9563i | −1.41989 | + | 0.792911i | ||||
\(268\) | −2.71538 | − | 5.14997i | −0.165868 | − | 0.314585i | ||||
\(269\) | −5.49235 | − | 3.17101i | −0.334874 | − | 0.193340i | 0.323129 | − | 0.946355i | \(-0.395265\pi\) |
−0.658003 | + | 0.753015i | \(0.728599\pi\) | |||||||
\(270\) | 1.98771 | − | 5.92051i | 0.120968 | − | 0.360311i | ||||
\(271\) | −14.5461 | − | 25.1945i | −0.883610 | − | 1.53046i | −0.847298 | − | 0.531118i | \(-0.821772\pi\) |
−0.0363123 | − | 0.999340i | \(-0.511561\pi\) | |||||||
\(272\) | 2.92835 | + | 6.11144i | 0.177557 | + | 0.370561i | ||||
\(273\) | −1.68153 | + | 0.0601737i | −0.101771 | + | 0.00364188i | ||||
\(274\) | −9.39990 | − | 9.76778i | −0.567869 | − | 0.590093i | ||||
\(275\) | −16.3112 | − | 9.41730i | −0.983605 | − | 0.567885i | ||||
\(276\) | 17.6492 | + | 0.930757i | 1.06236 | + | 0.0560250i | ||||
\(277\) | −14.9394 | + | 8.62525i | −0.897620 | + | 0.518241i | −0.876427 | − | 0.481534i | \(-0.840080\pi\) |
−0.0211927 | + | 0.999775i | \(0.506746\pi\) | |||||||
\(278\) | −14.6092 | + | 14.0590i | −0.876202 | + | 0.843201i | ||||
\(279\) | 7.30042 | + | 0.208940i | 0.437065 | + | 0.0125089i | ||||
\(280\) | −1.69206 | + | 6.13065i | −0.101120 | + | 0.366377i | ||||
\(281\) | 5.55041 | − | 9.61359i | 0.331110 | − | 0.573499i | −0.651620 | − | 0.758546i | \(-0.725910\pi\) |
0.982730 | + | 0.185047i | \(0.0592436\pi\) | |||||||
\(282\) | 0.842922 | + | 3.62776i | 0.0501953 | + | 0.216030i | ||||
\(283\) | − | 15.6829i | − | 0.932254i | −0.884718 | − | 0.466127i | \(-0.845649\pi\) | ||
0.884718 | − | 0.466127i | \(-0.154351\pi\) | |||||||
\(284\) | 4.35065 | − | 2.29392i | 0.258163 | − | 0.136119i | ||||
\(285\) | 0.102704 | − | 7.17844i | 0.00608364 | − | 0.425214i | ||||
\(286\) | −0.634005 | + | 2.19663i | −0.0374895 | + | 0.129889i | ||||
\(287\) | −24.1954 | + | 1.21263i | −1.42821 | + | 0.0715791i | ||||
\(288\) | 6.39492 | − | 15.7196i | 0.376824 | − | 0.926285i | ||||
\(289\) | 7.06484 | + | 12.2367i | 0.415579 | + | 0.719804i | ||||
\(290\) | −0.506848 | − | 0.526684i | −0.0297631 | − | 0.0309280i | ||||
\(291\) | 0.181085 | + | 0.108032i | 0.0106154 | + | 0.00633298i | ||||
\(292\) | −0.821114 | + | 21.3830i | −0.0480520 | + | 1.25135i | ||||
\(293\) | −27.4098 | + | 15.8251i | −1.60130 | + | 0.924510i | −0.610070 | + | 0.792348i | \(0.708859\pi\) |
−0.991228 | + | 0.132162i | \(0.957808\pi\) | |||||||
\(294\) | 11.2899 | − | 12.9050i | 0.658439 | − | 0.752634i | ||||
\(295\) | 2.69312 | − | 4.66462i | 0.156800 | − | 0.271585i | ||||
\(296\) | −5.44015 | + | 16.4508i | −0.316202 | + | 0.956184i | ||||
\(297\) | 10.5786 | + | 20.2859i | 0.613832 | + | 1.17711i | ||||
\(298\) | 13.8890 | + | 4.00874i | 0.804569 | + | 0.232220i | ||||
\(299\) | 1.87331i | 0.108336i | ||||||||
\(300\) | −8.07477 | + | 12.4251i | −0.466197 | + | 0.717366i | ||||
\(301\) | −12.2899 | + | 7.94133i | −0.708380 | + | 0.457731i | ||||
\(302\) | −18.7462 | − | 19.4799i | −1.07872 | − | 1.12094i | ||||
\(303\) | 13.0747 | + | 23.4132i | 0.751120 | + | 1.34506i | ||||
\(304\) | 1.49604 | − | 19.4509i | 0.0858039 | − | 1.11558i | ||||
\(305\) | −1.02426 | + | 1.77407i | −0.0586488 | + | 0.101583i | ||||
\(306\) | −2.19000 | + | 6.84613i | −0.125194 | + | 0.391367i | ||||
\(307\) | − | 28.8753i | − | 1.64800i | −0.566591 | − | 0.823999i | \(-0.691738\pi\) | ||
0.566591 | − | 0.823999i | \(-0.308262\pi\) | |||||||
\(308\) | −11.8843 | − | 20.0393i | −0.677171 | − | 1.14184i | ||||
\(309\) | 22.9097 | + | 13.6676i | 1.30329 | + | 0.777521i | ||||
\(310\) | 2.81124 | + | 0.811399i | 0.159668 | + | 0.0460844i | ||||
\(311\) | −10.0335 | −0.568946 | −0.284473 | − | 0.958684i | \(-0.591819\pi\) | ||||
−0.284473 | + | 0.958684i | \(0.591819\pi\) | |||||||
\(312\) | 1.69957 | + | 0.589136i | 0.0962190 | + | 0.0333533i | ||||
\(313\) | −18.7879 | −1.06196 | −0.530978 | − | 0.847385i | \(-0.678175\pi\) | ||||
−0.530978 | + | 0.847385i | \(0.678175\pi\) | |||||||
\(314\) | −6.15741 | − | 24.8801i | −0.347483 | − | 1.40406i | ||||
\(315\) | −5.76818 | + | 3.49743i | −0.325000 | + | 0.197058i | ||||
\(316\) | 17.0964 | − | 9.01426i | 0.961748 | − | 0.507092i | ||||
\(317\) | 21.2485i | 1.19344i | 0.802451 | + | 0.596718i | \(0.203529\pi\) | ||||
−0.802451 | + | 0.596718i | \(0.796471\pi\) | |||||||
\(318\) | −1.83858 | + | 6.04419i | −0.103103 | + | 0.338941i | ||||
\(319\) | 2.67771 | 0.149923 | ||||||||
\(320\) | 4.05347 | − | 5.45854i | 0.226596 | − | 0.305142i | ||||
\(321\) | 7.16187 | + | 12.8250i | 0.399736 | + | 0.715822i | ||||
\(322\) | −13.9089 | − | 13.0753i | −0.775115 | − | 0.728656i | ||||
\(323\) | 8.26275i | 0.459752i | ||||||||
\(324\) | 16.3764 | − | 7.47081i | 0.909801 | − | 0.415045i | ||||
\(325\) | −1.36024 | − | 0.785333i | −0.0754524 | − | 0.0435625i | ||||
\(326\) | −3.31408 | + | 3.18926i | −0.183550 | + | 0.176637i | ||||
\(327\) | 15.0945 | − | 25.3015i | 0.834728 | − | 1.39918i | ||||
\(328\) | 24.5889 | + | 8.13134i | 1.35769 | + | 0.448978i | ||||
\(329\) | 1.83450 | − | 3.58017i | 0.101139 | − | 0.197381i | ||||
\(330\) | 2.07446 | + | 8.92805i | 0.114195 | + | 0.491473i | ||||
\(331\) | 21.1577i | 1.16293i | 0.813571 | + | 0.581465i | \(0.197520\pi\) | ||||
−0.813571 | + | 0.581465i | \(0.802480\pi\) | |||||||
\(332\) | 22.8082 | + | 0.875840i | 1.25176 | + | 0.0480680i | ||||
\(333\) | −16.1722 | + | 8.72993i | −0.886233 | + | 0.478397i | ||||
\(334\) | −6.83506 | − | 7.10256i | −0.373998 | − | 0.388635i | ||||
\(335\) | 1.23699 | − | 2.14253i | 0.0675839 | − | 0.117059i | ||||
\(336\) | −16.2368 | + | 8.50689i | −0.885789 | + | 0.464089i | ||||
\(337\) | 0.472077 | + | 0.817662i | 0.0257157 | + | 0.0445409i | 0.878597 | − | 0.477564i | \(-0.158480\pi\) |
−0.852881 | + | 0.522105i | \(0.825147\pi\) | |||||||
\(338\) | 5.04536 | − | 17.4806i | 0.274431 | − | 0.950818i | ||||
\(339\) | 26.4988 | − | 14.7977i | 1.43922 | − | 0.803702i | ||||
\(340\) | −1.53449 | + | 2.43682i | −0.0832194 | + | 0.132155i | ||||
\(341\) | −9.28282 | + | 5.35944i | −0.502693 | + | 0.290230i | ||||
\(342\) | 15.3137 | − | 13.9154i | 0.828069 | − | 0.752457i | ||||
\(343\) | −18.3117 | + | 2.77181i | −0.988737 | + | 0.149664i | ||||
\(344\) | 15.3176 | − | 3.17251i | 0.825870 | − | 0.171050i | ||||
\(345\) | 3.66168 | + | 6.55710i | 0.197138 | + | 0.353022i | ||||
\(346\) | 3.96156 | + | 16.0074i | 0.212975 | + | 0.860562i | ||||
\(347\) | 9.41746i | 0.505556i | 0.967524 | + | 0.252778i | \(0.0813442\pi\) | ||||
−0.967524 | + | 0.252778i | \(0.918656\pi\) | |||||||
\(348\) | 0.110948 | − | 2.10381i | 0.00594742 | − | 0.112776i | ||||
\(349\) | 12.9410 | + | 7.47147i | 0.692714 | + | 0.399938i | 0.804628 | − | 0.593779i | \(-0.202365\pi\) |
−0.111914 | + | 0.993718i | \(0.535698\pi\) | |||||||
\(350\) | 15.3251 | − | 4.61804i | 0.819159 | − | 0.246845i | ||||
\(351\) | 0.882176 | + | 1.69169i | 0.0470871 | + | 0.0902958i | ||||
\(352\) | 4.11180 | + | 24.5652i | 0.219160 | + | 1.30933i | ||||
\(353\) | 0.147638 | + | 0.255717i | 0.00785798 | + | 0.0136104i | 0.869928 | − | 0.493179i | \(-0.164165\pi\) |
−0.862070 | + | 0.506790i | \(0.830832\pi\) | |||||||
\(354\) | 15.1213 | − | 3.51349i | 0.803688 | − | 0.186740i | ||||
\(355\) | 1.80998 | + | 1.04499i | 0.0960640 | + | 0.0554626i | ||||
\(356\) | −25.9654 | − | 16.3507i | −1.37617 | − | 0.866587i | ||||
\(357\) | 6.58052 | − | 4.11987i | 0.348278 | − | 0.218047i | ||||
\(358\) | −30.8450 | − | 8.90270i | −1.63021 | − | 0.470522i | ||||
\(359\) | −8.84109 | − | 15.3132i | −0.466615 | − | 0.808200i | 0.532658 | − | 0.846331i | \(-0.321193\pi\) |
−0.999273 | + | 0.0381302i | \(0.987860\pi\) | |||||||
\(360\) | 7.10050 | − | 1.25993i | 0.374229 | − | 0.0664042i | ||||
\(361\) | 2.39296 | − | 4.14472i | 0.125945 | − | 0.218143i | ||||
\(362\) | −5.03221 | − | 20.3335i | −0.264487 | − | 1.06871i | ||||
\(363\) | −12.4739 | − | 7.44174i | −0.654709 | − | 0.390590i | ||||
\(364\) | −0.991062 | − | 1.67113i | −0.0519458 | − | 0.0875909i | ||||
\(365\) | −7.87488 | + | 4.54657i | −0.412190 | + | 0.237978i | ||||
\(366\) | −5.75099 | + | 1.33626i | −0.300609 | + | 0.0698476i | ||||
\(367\) | −14.7916 | − | 25.6198i | −0.772115 | − | 1.33734i | −0.936402 | − | 0.350929i | \(-0.885866\pi\) |
0.164288 | − | 0.986412i | \(-0.447468\pi\) | |||||||
\(368\) | 8.81854 | + | 18.4042i | 0.459698 | + | 0.959386i | ||||
\(369\) | 13.0485 | + | 24.1725i | 0.679280 | + | 1.25837i | ||||
\(370\) | −7.14725 | + | 1.76883i | −0.371568 | + | 0.0919569i | ||||
\(371\) | 5.73142 | − | 3.70345i | 0.297561 | − | 0.192273i | ||||
\(372\) | 3.82615 | + | 7.51534i | 0.198377 | + | 0.389652i | ||||
\(373\) | −22.9899 | − | 13.2732i | −1.19037 | − | 0.687263i | −0.231982 | − | 0.972720i | \(-0.574521\pi\) |
−0.958391 | + | 0.285457i | \(0.907855\pi\) | |||||||
\(374\) | −2.53432 | − | 10.2404i | −0.131047 | − | 0.529517i | ||||
\(375\) | −13.6556 | − | 0.195374i | −0.705173 | − | 0.0100891i | ||||
\(376\) | −3.21090 | + | 2.86094i | −0.165589 | + | 0.147542i | ||||
\(377\) | 0.223302 | 0.0115006 | ||||||||
\(378\) | −18.7178 | − | 5.25763i | −0.962742 | − | 0.270423i | ||||
\(379\) | 26.9767i | 1.38570i | 0.721082 | + | 0.692850i | \(0.243645\pi\) | ||||
−0.721082 | + | 0.692850i | \(0.756355\pi\) | |||||||
\(380\) | 7.33294 | − | 3.86637i | 0.376172 | − | 0.198341i | ||||
\(381\) | 0.410275 | − | 28.6761i | 0.0210190 | − | 1.46912i | ||||
\(382\) | −18.1314 | + | 4.48721i | −0.927682 | + | 0.229586i | ||||
\(383\) | 8.19256 | − | 14.1899i | 0.418620 | − | 0.725071i | −0.577181 | − | 0.816616i | \(-0.695847\pi\) |
0.995801 | + | 0.0915450i | \(0.0291805\pi\) | |||||||
\(384\) | 19.4706 | − | 2.21271i | 0.993604 | − | 0.112917i | ||||
\(385\) | 4.51477 | − | 8.81094i | 0.230094 | − | 0.449047i | ||||
\(386\) | −3.12533 | + | 0.773466i | −0.159075 | + | 0.0393684i | ||||
\(387\) | 14.1255 | + | 8.70347i | 0.718041 | + | 0.442422i | ||||
\(388\) | −0.00934289 | + | 0.243303i | −0.000474313 | + | 0.0123518i | ||||
\(389\) | −4.93535 | + | 2.84943i | −0.250232 | + | 0.144472i | −0.619871 | − | 0.784704i | \(-0.712815\pi\) |
0.369638 | + | 0.929176i | \(0.379482\pi\) | |||||||
\(390\) | 0.172995 | + | 0.744533i | 0.00875994 | + | 0.0377009i | ||||
\(391\) | −4.32188 | − | 7.48571i | −0.218567 | − | 0.378569i | ||||
\(392\) | 19.3252 | + | 4.30564i | 0.976068 | + | 0.217468i | ||||
\(393\) | −6.02162 | + | 10.0935i | −0.303751 | + | 0.509149i | ||||
\(394\) | 9.13363 | + | 36.9060i | 0.460146 | + | 1.85930i | ||||
\(395\) | 7.11256 | + | 4.10644i | 0.357872 | + | 0.206617i | ||||
\(396\) | −14.7108 | + | 21.9429i | −0.739246 | + | 1.10267i | ||||
\(397\) | −7.78967 | + | 4.49737i | −0.390952 | + | 0.225716i | −0.682573 | − | 0.730818i | \(-0.739139\pi\) |
0.291620 | + | 0.956534i | \(0.405806\pi\) | |||||||
\(398\) | −3.54671 | + | 12.2882i | −0.177780 | + | 0.615953i | ||||
\(399\) | −22.3353 | + | 0.799271i | −1.11816 | + | 0.0400136i | ||||
\(400\) | −17.0605 | − | 1.31219i | −0.853024 | − | 0.0656094i | ||||
\(401\) | −9.55061 | + | 16.5421i | −0.476935 | + | 0.826075i | −0.999651 | − | 0.0264318i | \(-0.991586\pi\) |
0.522716 | + | 0.852507i | \(0.324919\pi\) | |||||||
\(402\) | 6.94543 | − | 1.61379i | 0.346406 | − | 0.0804887i | ||||
\(403\) | −0.774118 | + | 0.446937i | −0.0385616 | + | 0.0222635i | ||||
\(404\) | −16.5001 | + | 26.2027i | −0.820912 | + | 1.30363i | ||||
\(405\) | 6.39453 | + | 4.19703i | 0.317747 | + | 0.208552i | ||||
\(406\) | −1.55859 | + | 1.65797i | −0.0773516 | + | 0.0822835i | ||||
\(407\) | 13.4863 | − | 23.3590i | 0.668491 | − | 1.15786i | ||||
\(408\) | −8.15061 | + | 1.56686i | −0.403515 | + | 0.0775710i | ||||
\(409\) | 0.190164 | 0.00940300 | 0.00470150 | − | 0.999989i | \(-0.498503\pi\) | ||||
0.00470150 | + | 0.999989i | \(0.498503\pi\) | |||||||
\(410\) | 2.64385 | + | 10.6829i | 0.130570 | + | 0.527592i | ||||
\(411\) | 14.4957 | − | 8.09484i | 0.715020 | − | 0.399289i | ||||
\(412\) | −1.18200 | + | 30.7811i | −0.0582331 | + | 1.51648i | ||||
\(413\) | −14.9229 | − | 7.64660i | −0.734310 | − | 0.376265i | ||||
\(414\) | −6.59505 | + | 20.6167i | −0.324129 | + | 1.01325i | ||||
\(415\) | 4.84959 | + | 8.39974i | 0.238057 | + | 0.412327i | ||||
\(416\) | 0.342893 | + | 2.04855i | 0.0168117 | + | 0.100439i | ||||
\(417\) | −12.1071 | − | 21.6805i | −0.592885 | − | 1.06170i | ||||
\(418\) | −8.42133 | + | 29.1772i | −0.411900 | + | 1.42711i | ||||
\(419\) | −4.59948 | + | 2.65551i | −0.224699 | + | 0.129730i | −0.608124 | − | 0.793842i | \(-0.708078\pi\) |
0.383425 | + | 0.923572i | \(0.374744\pi\) | |||||||
\(420\) | −6.73547 | − | 3.91221i | −0.328657 | − | 0.190896i | ||||
\(421\) | 21.0767 | + | 12.1686i | 1.02721 | + | 0.593062i | 0.916185 | − | 0.400755i | \(-0.131252\pi\) |
0.111029 | + | 0.993817i | \(0.464585\pi\) | |||||||
\(422\) | −4.42440 | + | 4.25776i | −0.215376 | + | 0.207265i | ||||
\(423\) | −4.55957 | − | 0.130496i | −0.221694 | − | 0.00634495i | ||||
\(424\) | −7.14338 | + | 1.47950i | −0.346913 | + | 0.0718509i | ||||
\(425\) | 7.24730 | 0.351546 | ||||||||
\(426\) | 1.36332 | + | 5.86743i | 0.0660529 | + | 0.284278i | ||||
\(427\) | 5.67555 | + | 2.90818i | 0.274659 | + | 0.140737i | ||||
\(428\) | −9.03823 | + | 14.3530i | −0.436879 | + | 0.693777i | ||||
\(429\) | −2.40470 | − | 1.43461i | −0.116100 | − | 0.0692636i | ||||
\(430\) | 4.60919 | + | 4.78958i | 0.222275 | + | 0.230974i | ||||
\(431\) | −8.12994 | + | 14.0815i | −0.391605 | + | 0.678281i | −0.992661 | − | 0.120926i | \(-0.961414\pi\) |
0.601056 | + | 0.799207i | \(0.294747\pi\) | |||||||
\(432\) | 16.6304 | + | 12.4671i | 0.800132 | + | 0.599823i | ||||
\(433\) | 26.6043 | 1.27852 | 0.639261 | − | 0.768990i | \(-0.279240\pi\) | ||||
0.639261 | + | 0.768990i | \(0.279240\pi\) | |||||||
\(434\) | 2.08474 | − | 8.86718i | 0.100071 | − | 0.425638i | ||||
\(435\) | 0.781616 | − | 0.436478i | 0.0374756 | − | 0.0209275i | ||||
\(436\) | 33.9947 | + | 1.30541i | 1.62805 | + | 0.0625176i | ||||
\(437\) | 24.8827i | 1.19030i | ||||||||
\(438\) | −25.0737 | − | 7.62716i | −1.19807 | − | 0.364440i | ||||
\(439\) | 14.1861 | 0.677068 | 0.338534 | − | 0.940954i | \(-0.390069\pi\) | ||||
0.338534 | + | 0.940954i | \(0.390069\pi\) | |||||||
\(440\) | −7.90214 | + | 7.04089i | −0.376720 | + | 0.335661i | ||||
\(441\) | 11.7731 | + | 17.3895i | 0.560623 | + | 0.828071i | ||||
\(442\) | −0.211344 | − | 0.853971i | −0.0100526 | − | 0.0406193i | ||||
\(443\) | 10.2935i | 0.489061i | 0.969642 | + | 0.244530i | \(0.0786338\pi\) | ||||
−0.969642 | + | 0.244530i | \(0.921366\pi\) | |||||||
\(444\) | −17.7938 | − | 11.5637i | −0.844454 | − | 0.548789i | ||||
\(445\) | − | 13.0391i | − | 0.618110i | ||||||
\(446\) | 8.81934 | − | 30.5562i | 0.417608 | − | 1.44688i | ||||
\(447\) | −9.07087 | + | 15.2047i | −0.429038 | + | 0.719155i | ||||
\(448\) | −17.6034 | − | 11.7525i | −0.831682 | − | 0.555253i | ||||
\(449\) | 23.6429 | 1.11578 | 0.557888 | − | 0.829917i | \(-0.311612\pi\) | ||||
0.557888 | + | 0.829917i | \(0.311612\pi\) | |||||||
\(450\) | −12.2053 | − | 13.4317i | −0.575361 | − | 0.633177i | ||||
\(451\) | −34.9144 | − | 20.1578i | −1.64405 | − | 0.949195i | ||||
\(452\) | 29.6559 | + | 18.6746i | 1.39489 | + | 0.878381i | ||||
\(453\) | 28.9087 | − | 16.1435i | 1.35825 | − | 0.758488i | ||||
\(454\) | −21.7964 | + | 20.9755i | −1.02295 | + | 0.984427i | ||||
\(455\) | 0.376498 | − | 0.734767i | 0.0176505 | − | 0.0344464i | ||||
\(456\) | 22.5749 | + | 7.82534i | 1.05717 | + | 0.366455i | ||||
\(457\) | −9.83138 | −0.459893 | −0.229946 | − | 0.973203i | \(-0.573855\pi\) | ||||
−0.229946 | + | 0.973203i | \(0.573855\pi\) | |||||||
\(458\) | −34.7977 | − | 10.0435i | −1.62599 | − | 0.469304i | ||||
\(459\) | −7.42802 | − | 4.72471i | −0.346710 | − | 0.220531i | ||||
\(460\) | −4.62102 | + | 7.33831i | −0.215456 | + | 0.342150i | ||||
\(461\) | −7.65451 | − | 4.41933i | −0.356506 | − | 0.205829i | 0.311041 | − | 0.950396i | \(-0.399322\pi\) |
−0.667547 | + | 0.744568i | \(0.732656\pi\) | |||||||
\(462\) | 27.4359 | − | 7.84118i | 1.27643 | − | 0.364805i | ||||
\(463\) | −2.85776 | − | 4.94979i | −0.132812 | − | 0.230036i | 0.791948 | − | 0.610589i | \(-0.209067\pi\) |
−0.924759 | + | 0.380552i | \(0.875734\pi\) | |||||||
\(464\) | 2.19381 | − | 1.05118i | 0.101845 | − | 0.0487999i | ||||
\(465\) | −1.83601 | + | 3.07754i | −0.0851431 | + | 0.142717i | ||||
\(466\) | 24.1151 | + | 25.0589i | 1.11711 | + | 1.16083i | ||||
\(467\) | 16.3435 | − | 9.43590i | 0.756285 | − | 0.436641i | −0.0716753 | − | 0.997428i | \(-0.522835\pi\) |
0.827960 | + | 0.560787i | \(0.189501\pi\) | |||||||
\(468\) | −1.22677 | + | 1.82987i | −0.0567076 | + | 0.0845859i | ||||
\(469\) | −6.85432 | − | 3.51219i | −0.316503 | − | 0.162178i | ||||
\(470\) | −1.75580 | − | 0.506770i | −0.0809889 | − | 0.0233756i | ||||
\(471\) | 31.3879 | + | 0.449073i | 1.44628 | + | 0.0206922i | ||||
\(472\) | 11.9250 | + | 13.3837i | 0.548895 | + | 0.616037i | ||||
\(473\) | −24.3507 | −1.11965 | ||||||||
\(474\) | 5.35732 | + | 23.0568i | 0.246070 | + | 1.05903i | ||||
\(475\) | −18.0677 | − | 10.4314i | −0.829002 | − | 0.478625i | ||||
\(476\) | 7.81569 | + | 4.39133i | 0.358231 | + | 0.201276i | ||||
\(477\) | −6.58745 | − | 4.05887i | −0.301619 | − | 0.185843i | ||||
\(478\) | −13.4683 | − | 13.9955i | −0.616027 | − | 0.640137i | ||||
\(479\) | −6.74592 | − | 11.6843i | −0.308229 | − | 0.533868i | 0.669746 | − | 0.742590i | \(-0.266403\pi\) |
−0.977975 | + | 0.208722i | \(0.933070\pi\) | |||||||
\(480\) | 5.20444 | + | 6.50025i | 0.237549 | + | 0.296694i | ||||
\(481\) | 1.12466 | − | 1.94796i | 0.0512800 | − | 0.0888195i | ||||
\(482\) | −1.45135 | − | 1.50815i | −0.0661073 | − | 0.0686945i | ||||
\(483\) | 19.8168 | − | 12.4067i | 0.901696 | − | 0.564525i | ||||
\(484\) | 0.643578 | − | 16.7597i | 0.0292536 | − | 0.761807i | ||||
\(485\) | −0.0896029 | + | 0.0517323i | −0.00406866 | + | 0.00234904i | ||||
\(486\) | 3.75310 | + | 21.7236i | 0.170244 | + | 0.985402i | ||||
\(487\) | 17.5384 | − | 30.3773i | 0.794739 | − | 1.37653i | −0.128265 | − | 0.991740i | \(-0.540941\pi\) |
0.923004 | − | 0.384789i | \(-0.125726\pi\) | |||||||
\(488\) | −4.53538 | − | 5.09016i | −0.205307 | − | 0.230421i | ||||
\(489\) | −2.74647 | − | 4.91819i | −0.124200 | − | 0.222408i | ||||
\(490\) | 2.82762 | + | 7.92392i | 0.127739 | + | 0.357966i | ||||
\(491\) | 37.2718 | − | 21.5189i | 1.68205 | − | 0.971133i | 0.721756 | − | 0.692148i | \(-0.243335\pi\) |
0.960295 | − | 0.278985i | \(-0.0899981\pi\) | |||||||
\(492\) | −17.2841 | + | 26.5961i | −0.779229 | + | 1.19905i | ||||
\(493\) | −0.892308 | + | 0.515174i | −0.0401875 | + | 0.0232023i | ||||
\(494\) | −0.702276 | + | 2.43317i | −0.0315969 | + | 0.109473i | ||||
\(495\) | −11.2213 | − | 0.321156i | −0.504359 | − | 0.0144349i | ||||
\(496\) | −5.50133 | + | 8.03503i | −0.247017 | + | 0.360784i | ||||
\(497\) | 2.96706 | − | 5.79046i | 0.133091 | − | 0.259738i | ||||
\(498\) | −8.13550 | + | 26.7448i | −0.364561 | + | 1.19846i | ||||
\(499\) | −11.4079 | − | 6.58635i | −0.510688 | − | 0.294846i | 0.222429 | − | 0.974949i | \(-0.428602\pi\) |
−0.733116 | + | 0.680103i | \(0.761935\pi\) | |||||||
\(500\) | −7.35503 | − | 13.9495i | −0.328927 | − | 0.623841i | ||||
\(501\) | 10.5404 | − | 5.88609i | 0.470911 | − | 0.262971i | ||||
\(502\) | −0.0996254 | − | 0.402554i | −0.00444650 | − | 0.0179669i | ||||
\(503\) | −36.4456 | −1.62503 | −0.812515 | − | 0.582940i | \(-0.801902\pi\) | ||||
−0.812515 | + | 0.582940i | \(0.801902\pi\) | |||||||
\(504\) | −5.02384 | − | 21.8806i | −0.223780 | − | 0.974640i | ||||
\(505\) | −13.1582 | −0.585532 | ||||||||
\(506\) | −7.63194 | − | 30.8382i | −0.339281 | − | 1.37093i | ||||
\(507\) | 19.1364 | + | 11.4165i | 0.849878 | + | 0.507025i | ||||
\(508\) | 29.2933 | − | 15.4452i | 1.29968 | − | 0.685269i | ||||
\(509\) | 14.8681 | + | 8.58411i | 0.659018 | + | 0.380484i | 0.791903 | − | 0.610647i | \(-0.209091\pi\) |
−0.132885 | + | 0.991131i | \(0.542424\pi\) | |||||||
\(510\) | −2.40898 | − | 2.57603i | −0.106671 | − | 0.114068i | ||||
\(511\) | 15.3634 | + | 23.7762i | 0.679635 | + | 1.05180i | ||||
\(512\) | 13.0122 | + | 18.5117i | 0.575064 | + | 0.818109i | ||||
\(513\) | 11.7177 | + | 22.4703i | 0.517350 | + | 0.992088i | ||||
\(514\) | 0.244198 | − | 0.846069i | 0.0107711 | − | 0.0373185i | ||||
\(515\) | −11.3360 | + | 6.54483i | −0.499523 | + | 0.288400i | ||||
\(516\) | −1.00894 | + | 19.1317i | −0.0444161 | + | 0.842228i | ||||
\(517\) | 5.79770 | − | 3.34731i | 0.254983 | − | 0.147214i | ||||
\(518\) | 6.61339 | + | 21.9467i | 0.290576 | + | 0.964281i | ||||
\(519\) | −20.1943 | − | 0.288925i | −0.886433 | − | 0.0126824i | ||||
\(520\) | −0.658980 | + | 0.587158i | −0.0288982 | + | 0.0257486i | ||||
\(521\) | −20.4220 | + | 35.3719i | −0.894703 | + | 1.54967i | −0.0605312 | + | 0.998166i | \(0.519279\pi\) |
−0.834172 | + | 0.551505i | \(0.814054\pi\) | |||||||
\(522\) | 2.45754 | + | 0.786140i | 0.107564 | + | 0.0344084i | ||||
\(523\) | 10.2347 | − | 5.90898i | 0.447531 | − | 0.258382i | −0.259256 | − | 0.965809i | \(-0.583477\pi\) |
0.706787 | + | 0.707427i | \(0.250144\pi\) | |||||||
\(524\) | −13.5615 | − | 0.520763i | −0.592435 | − | 0.0227496i | ||||
\(525\) | 0.701046 | + | 19.5904i | 0.0305961 | + | 0.854996i | ||||
\(526\) | −10.0289 | − | 10.4214i | −0.437282 | − | 0.454396i | ||||
\(527\) | 2.06224 | − | 3.57190i | 0.0898326 | − | 0.155595i | ||||
\(528\) | −30.3782 | − | 2.77419i | −1.32204 | − | 0.120731i | ||||
\(529\) | −1.51505 | − | 2.62415i | −0.0658718 | − | 0.114093i | ||||
\(530\) | −2.14950 | − | 2.23363i | −0.0933683 | − | 0.0970225i | ||||
\(531\) | −0.543938 | + | 19.0053i | −0.0236049 | + | 0.824760i | ||||
\(532\) | −13.1640 | − | 22.1972i | −0.570733 | − | 0.962369i | ||||
\(533\) | −2.91160 | − | 1.68101i | −0.126115 | − | 0.0728128i | ||||
\(534\) | 27.4488 | − | 25.6688i | 1.18783 | − | 1.11080i | ||||
\(535\) | −7.20762 | −0.311613 | ||||||||
\(536\) | 5.47734 | + | 6.14734i | 0.236585 | + | 0.265525i | ||||
\(537\) | 20.1448 | − | 33.7668i | 0.869312 | − | 1.45715i | ||||
\(538\) | 8.61722 | + | 2.48716i | 0.371515 | + | 0.107229i | ||||
\(539\) | −28.0986 | − | 12.6644i | −1.21029 | − | 0.545494i | ||||
\(540\) | −0.717264 | + | 8.80297i | −0.0308661 | + | 0.378820i | ||||
\(541\) | 22.0852 | − | 12.7509i | 0.949518 | − | 0.548205i | 0.0565871 | − | 0.998398i | \(-0.481978\pi\) |
0.892931 | + | 0.450193i | \(0.148645\pi\) | |||||||
\(542\) | 28.5285 | + | 29.6450i | 1.22540 | + | 1.27336i | ||||
\(543\) | 25.6521 | + | 0.367010i | 1.10084 | + | 0.0157499i | ||||
\(544\) | −6.09637 | − | 7.39489i | −0.261380 | − | 0.317053i | ||||
\(545\) | 7.22813 | + | 12.5195i | 0.309619 | + | 0.536276i | ||||
\(546\) | 2.28795 | − | 0.653896i | 0.0979153 | − | 0.0279842i | ||||
\(547\) | 8.48266 | + | 4.89747i | 0.362692 | + | 0.209401i | 0.670261 | − | 0.742125i | \(-0.266182\pi\) |
−0.307569 | + | 0.951526i | \(0.599515\pi\) | |||||||
\(548\) | 16.2227 | + | 10.2156i | 0.693000 | + | 0.436390i | ||||
\(549\) | 0.206873 | − | 7.22817i | 0.00882910 | − | 0.308491i | ||||
\(550\) | 25.5915 | + | 7.38639i | 1.09123 | + | 0.314957i | ||||
\(551\) | 2.96606 | 0.126358 | ||||||||
\(552\) | −24.5450 | + | 4.71849i | −1.04471 | + | 0.200832i | ||||
\(553\) | 11.6594 | − | 22.7543i | 0.495810 | − | 0.967613i | ||||
\(554\) | 17.5784 | − | 16.9163i | 0.746833 | − | 0.718705i | ||||
\(555\) | 0.129004 | − | 9.01672i | 0.00547592 | − | 0.382738i | ||||
\(556\) | 15.2790 | − | 24.2635i | 0.647975 | − | 1.02900i | ||||
\(557\) | 16.4653 | + | 9.50626i | 0.697658 | + | 0.402793i | 0.806475 | − | 0.591269i | \(-0.201373\pi\) |
−0.108817 | + | 0.994062i | \(0.534706\pi\) | |||||||
\(558\) | −10.0930 | + | 2.19345i | −0.427270 | + | 0.0928560i | ||||
\(559\) | −2.03067 | −0.0858881 | ||||||||
\(560\) | 0.239997 | − | 8.99101i | 0.0101417 | − | 0.379940i | ||||
\(561\) | 12.9189 | + | 0.184834i | 0.545436 | + | 0.00780368i | ||||
\(562\) | −4.35342 | + | 15.0832i | −0.183638 | + | 0.636248i | ||||
\(563\) | 22.9308i | 0.966419i | 0.875505 | + | 0.483210i | \(0.160529\pi\) | ||||
−0.875505 | + | 0.483210i | \(0.839471\pi\) | |||||||
\(564\) | −2.38967 | − | 4.69380i | −0.100623 | − | 0.197645i | ||||
\(565\) | 14.8923i | 0.626522i | ||||||||
\(566\) | 5.32820 | + | 21.5295i | 0.223961 | + | 0.904953i | ||||
\(567\) | 12.0530 | − | 20.5360i | 0.506178 | − | 0.862429i | ||||
\(568\) | −5.19321 | + | 4.62720i | −0.217902 | + | 0.194153i | ||||
\(569\) | −15.3599 | −0.643919 | −0.321960 | − | 0.946753i | \(-0.604341\pi\) | ||||
−0.321960 | + | 0.946753i | \(0.604341\pi\) | |||||||
\(570\) | 2.29785 | + | 9.88944i | 0.0962462 | + | 0.414223i | ||||
\(571\) | − | 34.1764i | − | 1.43024i | −0.699003 | − | 0.715119i | \(-0.746373\pi\) | ||
0.699003 | − | 0.715119i | \(-0.253627\pi\) | |||||||
\(572\) | 0.124068 | − | 3.23092i | 0.00518756 | − | 0.135092i | ||||
\(573\) | 0.327262 | − | 22.8739i | 0.0136716 | − | 0.955571i | ||||
\(574\) | 32.8035 | − | 9.88496i | 1.36919 | − | 0.412590i | ||||
\(575\) | 21.8248 | 0.910156 | ||||||||
\(576\) | −3.43829 | + | 23.7524i | −0.143262 | + | 0.989685i | ||||
\(577\) | −14.2559 | + | 24.6920i | −0.593481 | + | 1.02794i | 0.400278 | + | 0.916394i | \(0.368913\pi\) |
−0.993759 | + | 0.111546i | \(0.964420\pi\) | |||||||
\(578\) | −13.8559 | − | 14.3982i | −0.576331 | − | 0.598887i | ||||
\(579\) | 0.0564105 | − | 3.94280i | 0.00234434 | − | 0.163857i | ||||
\(580\) | 0.874737 | + | 0.550832i | 0.0363215 | + | 0.0228721i | ||||
\(581\) | 25.3609 | − | 16.3873i | 1.05215 | − | 0.679860i | ||||
\(582\) | −0.285296 | − | 0.0867842i | −0.0118259 | − | 0.00359732i | ||||
\(583\) | 11.3560 | 0.470316 | ||||||||
\(584\) | −6.13755 | − | 29.6336i | −0.253974 | − | 1.22625i | ||||
\(585\) | −0.935772 | − | 0.0267821i | −0.0386894 | − | 0.00110730i | ||||
\(586\) | 32.2516 | − | 31.0369i | 1.33230 | − | 1.28212i | ||||
\(587\) | 13.7260 | + | 7.92471i | 0.566533 | + | 0.327088i | 0.755763 | − | 0.654845i | \(-0.227266\pi\) |
−0.189230 | + | 0.981933i | \(0.560599\pi\) | |||||||
\(588\) | −11.1143 | + | 21.5516i | −0.458347 | + | 0.888773i | ||||
\(589\) | −10.2824 | + | 5.93655i | −0.423679 | + | 0.244611i | ||||
\(590\) | −2.11233 | + | 7.31855i | −0.0869632 | + | 0.301300i | ||||
\(591\) | −46.5594 | − | 0.666135i | −1.91520 | − | 0.0274011i | ||||
\(592\) | 1.87915 | − | 24.4319i | 0.0772327 | − | 1.00415i | ||||
\(593\) | 2.00101 | + | 3.46585i | 0.0821716 | + | 0.142325i | 0.904182 | − | 0.427146i | \(-0.140481\pi\) |
−0.822011 | + | 0.569472i | \(0.807148\pi\) | |||||||
\(594\) | −21.4143 | − | 24.2544i | −0.878639 | − | 0.995170i | ||||
\(595\) | 0.190685 | + | 3.80472i | 0.00781733 | + | 0.155978i | ||||
\(596\) | −20.4288 | − | 0.784469i | −0.836795 | − | 0.0321331i | ||||
\(597\) | −13.4522 | − | 8.02539i | −0.550562 | − | 0.328458i | ||||
\(598\) | −0.636448 | − | 2.57168i | −0.0260263 | − | 0.105164i | ||||
\(599\) | −36.7842 | −1.50296 | −0.751481 | − | 0.659755i | \(-0.770660\pi\) | ||||
−0.751481 | + | 0.659755i | \(0.770660\pi\) | |||||||
\(600\) | 6.86365 | − | 19.8006i | 0.280208 | − | 0.808355i | ||||
\(601\) | 10.3788 | − | 17.9766i | 0.423359 | − | 0.733280i | −0.572906 | − | 0.819621i | \(-0.694184\pi\) |
0.996266 | + | 0.0863410i | \(0.0275174\pi\) | |||||||
\(602\) | 14.1736 | − | 15.0773i | 0.577672 | − | 0.614504i | ||||
\(603\) | −0.249838 | + | 8.72940i | −0.0101742 | + | 0.355489i | ||||
\(604\) | 32.3529 | + | 20.3730i | 1.31642 | + | 0.828966i | ||||
\(605\) | 6.17223 | − | 3.56354i | 0.250937 | − | 0.144879i | ||||
\(606\) | −25.9034 | − | 27.6996i | −1.05225 | − | 1.12522i | ||||
\(607\) | −1.23949 | + | 2.14686i | −0.0503093 | + | 0.0871383i | −0.890083 | − | 0.455798i | \(-0.849354\pi\) |
0.839774 | + | 0.542936i | \(0.182687\pi\) | |||||||
\(608\) | 4.55457 | + | 27.2104i | 0.184712 | + | 1.10353i | ||||
\(609\) | −1.47890 | − | 2.36219i | −0.0599280 | − | 0.0957209i | ||||
\(610\) | 0.803369 | − | 2.78342i | 0.0325275 | − | 0.112697i | ||||
\(611\) | 0.483485 | − | 0.279140i | 0.0195597 | − | 0.0112928i | ||||
\(612\) | 0.680497 | − | 10.1424i | 0.0275075 | − | 0.409982i | ||||
\(613\) | −28.8303 | − | 16.6452i | −1.16445 | − | 0.672293i | −0.212080 | − | 0.977252i | \(-0.568024\pi\) |
−0.952365 | + | 0.304959i | \(0.901357\pi\) | |||||||
\(614\) | 9.81021 | + | 39.6399i | 0.395908 | + | 1.59974i | ||||
\(615\) | −13.4772 | − | 0.192821i | −0.543453 | − | 0.00777530i | ||||
\(616\) | 23.1230 | + | 23.4723i | 0.931651 | + | 0.945724i | ||||
\(617\) | 6.80791 | + | 11.7916i | 0.274076 | + | 0.474713i | 0.969902 | − | 0.243497i | \(-0.0782947\pi\) |
−0.695826 | + | 0.718211i | \(0.744961\pi\) | |||||||
\(618\) | −36.0938 | − | 10.9794i | −1.45191 | − | 0.441655i | ||||
\(619\) | −12.9848 | + | 7.49678i | −0.521903 | + | 0.301321i | −0.737713 | − | 0.675115i | \(-0.764094\pi\) |
0.215810 | + | 0.976435i | \(0.430761\pi\) | |||||||
\(620\) | −4.13494 | − | 0.158783i | −0.166063 | − | 0.00637686i | ||||
\(621\) | −22.3690 | − | 14.2282i | −0.897637 | − | 0.570957i | ||||
\(622\) | 13.7739 | − | 3.40882i | 0.552285 | − | 0.136681i | ||||
\(623\) | −40.5411 | + | 2.03184i | −1.62425 | + | 0.0814040i | ||||
\(624\) | −2.53332 | − | 0.231346i | −0.101414 | − | 0.00926127i | ||||
\(625\) | −7.34371 | + | 12.7197i | −0.293748 | + | 0.508787i | ||||
\(626\) | 25.7920 | − | 6.38310i | 1.03086 | − | 0.255120i | ||||
\(627\) | −31.9410 | − | 19.0556i | −1.27560 | − | 0.761006i | ||||
\(628\) | 16.9058 | + | 32.0634i | 0.674613 | + | 1.27947i | ||||
\(629\) | 10.3787i | 0.413826i | ||||||||
\(630\) | 6.73031 | − | 6.76098i | 0.268142 | − | 0.269364i | ||||
\(631\) | −29.8664 | −1.18896 | −0.594481 | − | 0.804110i | \(-0.702642\pi\) | ||||
−0.594481 | + | 0.804110i | \(0.702642\pi\) | |||||||
\(632\) | −20.4074 | + | 18.1832i | −0.811761 | + | 0.723288i | ||||
\(633\) | −3.66662 | − | 6.56595i | −0.145735 | − | 0.260973i | ||||
\(634\) | −7.21907 | − | 29.1699i | −0.286706 | − | 1.15848i | ||||
\(635\) | 12.1868 | + | 7.03604i | 0.483618 | + | 0.279217i | ||||
\(636\) | 0.470520 | − | 8.92210i | 0.0186573 | − | 0.353784i | ||||
\(637\) | −2.34321 | − | 1.05612i | −0.0928415 | − | 0.0418448i | ||||
\(638\) | −3.67596 | + | 0.909739i | −0.145533 | + | 0.0360169i | ||||
\(639\) | −7.37451 | − | 0.211061i | −0.291731 | − | 0.00834944i | ||||
\(640\) | −3.71008 | + | 8.87061i | −0.146654 | + | 0.350642i | ||||
\(641\) | −5.72938 | − | 9.92358i | −0.226297 | − | 0.391958i | 0.730411 | − | 0.683008i | \(-0.239329\pi\) |
−0.956708 | + | 0.291050i | \(0.905995\pi\) | |||||||
\(642\) | −14.1890 | − | 15.1729i | −0.559996 | − | 0.598828i | ||||
\(643\) | −10.6382 | + | 6.14199i | −0.419531 | + | 0.242216i | −0.694877 | − | 0.719129i | \(-0.744541\pi\) |
0.275346 | + | 0.961345i | \(0.411208\pi\) | |||||||
\(644\) | 23.5364 | + | 13.2242i | 0.927465 | + | 0.521107i | ||||
\(645\) | −7.10789 | + | 3.96926i | −0.279873 | + | 0.156289i | ||||
\(646\) | −2.80722 | − | 11.3431i | −0.110449 | − | 0.446288i | ||||
\(647\) | 5.30257 | − | 9.18432i | 0.208466 | − | 0.361073i | −0.742766 | − | 0.669551i | \(-0.766486\pi\) |
0.951231 | + | 0.308478i | \(0.0998197\pi\) | |||||||
\(648\) | −19.9433 | + | 15.8197i | −0.783448 | + | 0.621457i | ||||
\(649\) | −13.9523 | − | 24.1661i | −0.547676 | − | 0.948603i | ||||
\(650\) | 2.13414 | + | 0.615970i | 0.0837080 | + | 0.0241603i | ||||
\(651\) | 9.85481 | + | 5.22899i | 0.386240 | + | 0.204940i | ||||
\(652\) | 3.46602 | − | 5.50414i | 0.135740 | − | 0.215559i | ||||
\(653\) | 8.94999 | + | 5.16728i | 0.350240 | + | 0.202211i | 0.664791 | − | 0.747029i | \(-0.268521\pi\) |
−0.314551 | + | 0.949241i | \(0.601854\pi\) | |||||||
\(654\) | −12.1257 | + | 39.8621i | −0.474151 | + | 1.55873i | ||||
\(655\) | −2.88350 | − | 4.99438i | −0.112668 | − | 0.195146i | ||||
\(656\) | −36.5181 | − | 2.80875i | −1.42579 | − | 0.109663i | ||||
\(657\) | 16.8378 | − | 27.3273i | 0.656905 | − | 1.06614i | ||||
\(658\) | −1.30205 | + | 5.53811i | −0.0507593 | + | 0.215898i | ||||
\(659\) | 2.35708 | + | 1.36086i | 0.0918187 | + | 0.0530115i | 0.545206 | − | 0.838302i | \(-0.316451\pi\) |
−0.453388 | + | 0.891313i | \(0.649785\pi\) | |||||||
\(660\) | −5.88108 | − | 11.5516i | −0.228921 | − | 0.449646i | ||||
\(661\) | − | 2.89945i | − | 0.112775i | −0.998409 | − | 0.0563877i | \(-0.982042\pi\) | ||
0.998409 | − | 0.0563877i | \(-0.0179583\pi\) | |||||||
\(662\) | −7.18821 | − | 29.0452i | −0.279378 | − | 1.12887i | ||||
\(663\) | 1.07734 | + | 0.0154137i | 0.0418404 | + | 0.000598620i | ||||
\(664\) | −31.6086 | + | 6.54661i | −1.22665 | + | 0.254058i | ||||
\(665\) | 5.00093 | − | 9.75972i | 0.193928 | − | 0.378466i | ||||
\(666\) | 19.2352 | − | 17.4789i | 0.745351 | − | 0.677292i | ||||
\(667\) | −2.68713 | + | 1.55141i | −0.104046 | + | 0.0600710i | ||||
\(668\) | 11.7962 | + | 7.42821i | 0.456409 | + | 0.287406i | ||||
\(669\) | 33.4507 | + | 19.9562i | 1.29328 | + | 0.771550i | ||||
\(670\) | −0.970222 | + | 3.36151i | −0.0374830 | + | 0.129867i | ||||
\(671\) | 5.30640 | + | 9.19095i | 0.204851 | + | 0.354813i | ||||
\(672\) | 19.3996 | − | 17.1946i | 0.748357 | − | 0.663296i | ||||
\(673\) | −1.59176 | + | 2.75700i | −0.0613577 | + | 0.106275i | −0.895073 | − | 0.445921i | \(-0.852876\pi\) |
0.833715 | + | 0.552195i | \(0.186210\pi\) | |||||||
\(674\) | −0.925863 | − | 0.962099i | −0.0356629 | − | 0.0370587i | ||||
\(675\) | 19.7088 | − | 10.2777i | 0.758593 | − | 0.395588i | ||||
\(676\) | −0.987325 | + | 25.7114i | −0.0379740 | + | 0.988901i | ||||
\(677\) | − | 17.8899i | − | 0.687564i | −0.939049 | − | 0.343782i | \(-0.888292\pi\) | ||
0.939049 | − | 0.343782i | \(-0.111708\pi\) | |||||||
\(678\) | −31.3500 | + | 29.3171i | −1.20399 | + | 1.12592i | ||||
\(679\) | 0.174809 | + | 0.270533i | 0.00670856 | + | 0.0103821i | ||||
\(680\) | 1.27865 | − | 3.86659i | 0.0490340 | − | 0.148277i | ||||
\(681\) | −18.0633 | − | 32.3465i | −0.692186 | − | 1.23952i | ||||
\(682\) | 10.9226 | − | 10.5112i | 0.418248 | − | 0.402495i | ||||
\(683\) | 4.96671 | + | 2.86753i | 0.190046 | + | 0.109723i | 0.592004 | − | 0.805935i | \(-0.298337\pi\) |
−0.401958 | + | 0.915658i | \(0.631670\pi\) | |||||||
\(684\) | −16.2949 | + | 24.3057i | −0.623052 | + | 0.929353i | ||||
\(685\) | 8.14655i | 0.311264i | ||||||||
\(686\) | 24.1965 | − | 10.0264i | 0.923827 | − | 0.382811i | ||||
\(687\) | 22.7263 | − | 38.0939i | 0.867062 | − | 1.45337i | ||||
\(688\) | −19.9501 | + | 9.55929i | −0.760592 | + | 0.364444i | ||||
\(689\) | 0.947004 | 0.0360780 | ||||||||
\(690\) | −7.25449 | − | 7.75753i | −0.276174 | − | 0.295324i | ||||
\(691\) | 27.6819i | 1.05307i | 0.850154 | + | 0.526534i | \(0.176509\pi\) | ||||
−0.850154 | + | 0.526534i | \(0.823491\pi\) | |||||||
\(692\) | −10.8768 | − | 20.6290i | −0.413475 | − | 0.784196i | ||||
\(693\) | 0.750040 | + | 34.9394i | 0.0284917 | + | 1.32724i | ||||
\(694\) | −3.19953 | − | 12.9283i | −0.121453 | − | 0.490750i | ||||
\(695\) | 12.1844 | 0.462181 | ||||||||
\(696\) | 0.562451 | + | 2.92580i | 0.0213196 | + | 0.110902i | ||||
\(697\) | 15.5129 | 0.587594 | ||||||||
\(698\) | −20.3037 | − | 5.86019i | −0.768507 | − | 0.221811i | ||||
\(699\) | −37.1882 | + | 20.7670i | −1.40659 | + | 0.785481i | ||||
\(700\) | −19.4693 | + | 11.5462i | −0.735869 | + | 0.436407i | ||||
\(701\) | − | 25.0241i | − | 0.945146i | −0.881291 | − | 0.472573i | \(-0.843325\pi\) | ||
0.881291 | − | 0.472573i | \(-0.156675\pi\) | |||||||
\(702\) | −1.78579 | − | 2.02264i | −0.0674004 | − | 0.0763395i | ||||
\(703\) | 14.9385 | − | 25.8743i | 0.563418 | − | 0.975868i | ||||
\(704\) | −13.9905 | − | 32.3260i | −0.527289 | − | 1.21833i | ||||
\(705\) | 1.14671 | − | 1.92212i | 0.0431874 | − | 0.0723911i | ||||
\(706\) | −0.289555 | − | 0.300888i | −0.0108976 | − | 0.0113241i | ||||
\(707\) | 2.05041 | + | 40.9116i | 0.0771135 | + | 1.53864i | ||||
\(708\) | −19.5648 | + | 9.96069i | −0.735290 | + | 0.374346i | ||||
\(709\) | − | 53.1391i | − | 1.99568i | −0.0656732 | − | 0.997841i | \(-0.520919\pi\) | ||
0.0656732 | − | 0.997841i | \(-0.479081\pi\) | |||||||
\(710\) | −2.83977 | − | 0.819634i | −0.106575 | − | 0.0307603i | ||||
\(711\) | −28.9791 | − | 0.829390i | −1.08680 | − | 0.0311045i | ||||
\(712\) | 41.2004 | + | 13.6246i | 1.54405 | + | 0.510605i | ||||
\(713\) | 6.21030 | − | 10.7566i | 0.232578 | − | 0.402836i | ||||
\(714\) | −7.63402 | + | 7.89144i | −0.285696 | + | 0.295330i | ||||
\(715\) | 1.18988 | − | 0.686975i | 0.0444988 | − | 0.0256914i | ||||
\(716\) | 45.3686 | + | 1.74217i | 1.69551 | + | 0.0651078i | ||||
\(717\) | 20.7697 | − | 11.5984i | 0.775658 | − | 0.433151i | ||||
\(718\) | 17.3396 | + | 18.0182i | 0.647108 | + | 0.672434i | ||||
\(719\) | −3.60706 | − | 6.24761i | −0.134521 | − | 0.232997i | 0.790894 | − | 0.611954i | \(-0.209616\pi\) |
−0.925414 | + | 0.378957i | \(0.876283\pi\) | |||||||
\(720\) | −9.31949 | + | 4.14199i | −0.347317 | + | 0.154363i | ||||
\(721\) | 22.1157 | + | 34.2261i | 0.823632 | + | 1.27465i | ||||
\(722\) | −1.87690 | + | 6.50286i | −0.0698509 | + | 0.242011i | ||||
\(723\) | 2.23815 | − | 1.24985i | 0.0832376 | − | 0.0464824i | ||||
\(724\) | 13.8164 | + | 26.2041i | 0.513483 | + | 0.973869i | ||||
\(725\) | − | 2.60155i | − | 0.0966190i | ||||||
\(726\) | 19.6524 | + | 5.97807i | 0.729370 | + | 0.221867i | ||||
\(727\) | 2.85162 | − | 4.93915i | 0.105761 | − | 0.183183i | −0.808288 | − | 0.588787i | \(-0.799606\pi\) |
0.914049 | + | 0.405604i | \(0.132939\pi\) | |||||||
\(728\) | 1.92828 | + | 1.95741i | 0.0714670 | + | 0.0725465i | ||||
\(729\) | −26.9006 | − | 2.31477i | −0.996318 | − | 0.0857321i | ||||
\(730\) | 9.26595 | − | 8.91697i | 0.342948 | − | 0.330032i | ||||
\(731\) | 8.11450 | − | 4.68491i | 0.300126 | − | 0.173278i | ||||
\(732\) | 7.44096 | − | 3.78829i | 0.275026 | − | 0.140019i | ||||
\(733\) | −21.5462 | − | 12.4397i | −0.795827 | − | 0.459471i | 0.0461826 | − | 0.998933i | \(-0.485294\pi\) |
−0.842010 | + | 0.539462i | \(0.818628\pi\) | |||||||
\(734\) | 29.0100 | + | 30.1454i | 1.07078 | + | 1.11269i | ||||
\(735\) | −10.2662 | + | 0.883485i | −0.378675 | + | 0.0325878i | ||||
\(736\) | −18.3588 | − | 22.2692i | −0.676714 | − | 0.820854i | ||||
\(737\) | −6.40849 | − | 11.0998i | −0.236060 | − | 0.408868i | ||||
\(738\) | −26.1255 | − | 28.7507i | −0.961692 | − | 1.05833i | ||||
\(739\) | −10.4327 | − | 6.02333i | −0.383773 | − | 0.221572i | 0.295685 | − | 0.955285i | \(-0.404452\pi\) |
−0.679459 | + | 0.733714i | \(0.737785\pi\) | |||||||
\(740\) | 9.21078 | − | 4.85648i | 0.338595 | − | 0.178528i | ||||
\(741\) | −2.66365 | − | 1.58909i | −0.0978515 | − | 0.0583768i | ||||
\(742\) | −6.60986 | + | 7.03131i | −0.242656 | + | 0.258127i | ||||
\(743\) | 15.1714 | + | 26.2776i | 0.556584 | + | 0.964032i | 0.997778 | + | 0.0666203i | \(0.0212216\pi\) |
−0.441194 | + | 0.897412i | \(0.645445\pi\) | |||||||
\(744\) | −7.80583 | − | 9.01712i | −0.286176 | − | 0.330584i | ||||
\(745\) | −4.34366 | − | 7.52345i | −0.159140 | − | 0.275638i | ||||
\(746\) | 36.0701 | + | 10.4108i | 1.32062 | + | 0.381166i | ||||
\(747\) | −29.1487 | − | 17.9600i | −1.06649 | − | 0.657122i | ||||
\(748\) | 6.95822 | + | 13.1969i | 0.254418 | + | 0.482528i | ||||
\(749\) | 1.12315 | + | 22.4100i | 0.0410388 | + | 0.818844i | ||||
\(750\) | 18.8128 | − | 4.37122i | 0.686946 | − | 0.159614i | ||||
\(751\) | −4.90043 | + | 8.48779i | −0.178819 | + | 0.309724i | −0.941476 | − | 0.337079i | \(-0.890561\pi\) |
0.762657 | + | 0.646803i | \(0.223894\pi\) | |||||||
\(752\) | 3.43592 | − | 5.01838i | 0.125295 | − | 0.183002i | ||||
\(753\) | 0.507848 | + | 0.00726589i | 0.0185070 | + | 0.000264784i | ||||
\(754\) | −0.306548 | + | 0.0758655i | −0.0111638 | + | 0.00276286i | ||||
\(755\) | 16.2466i | 0.591276i | ||||||||
\(756\) | 27.4821 | + | 0.858379i | 0.999513 | + | 0.0312189i | ||||
\(757\) | 19.9237i | 0.724139i | 0.932151 | + | 0.362070i | \(0.117930\pi\) | ||||
−0.932151 | + | 0.362070i | \(0.882070\pi\) | |||||||
\(758\) | −9.16519 | − | 37.0336i | −0.332895 | − | 1.34512i | ||||
\(759\) | 38.9044 | + | 0.556614i | 1.41214 | + | 0.0202038i | ||||
\(760\) | −8.75306 | + | 7.79907i | −0.317507 | + | 0.282902i | ||||
\(761\) | −0.704845 | + | 1.22083i | −0.0255506 | + | 0.0442550i | −0.878518 | − | 0.477709i | \(-0.841467\pi\) |
0.852967 | + | 0.521964i | \(0.174801\pi\) | |||||||
\(762\) | 9.17933 | + | 39.5059i | 0.332532 | + | 1.43115i | ||||
\(763\) | 37.7994 | − | 24.4247i | 1.36843 | − | 0.884232i | ||||
\(764\) | 23.3662 | − | 12.3201i | 0.845360 | − | 0.445725i | ||||
\(765\) | 3.80111 | − | 2.05188i | 0.137429 | − | 0.0741858i | ||||
\(766\) | −6.42577 | + | 22.2633i | −0.232173 | + | 0.804405i | ||||
\(767\) | −1.16352 | − | 2.01527i | −0.0420123 | − | 0.0727674i | ||||
\(768\) | −25.9774 | + | 9.65263i | −0.937380 | + | 0.348309i | ||||
\(769\) | 15.8577 | + | 27.4663i | 0.571843 | + | 0.990462i | 0.996377 | + | 0.0850495i | \(0.0271048\pi\) |
−0.424533 | + | 0.905412i | \(0.639562\pi\) | |||||||
\(770\) | −3.20440 | + | 13.6295i | −0.115479 | + | 0.491173i | ||||
\(771\) | 0.926213 | + | 0.552565i | 0.0333568 | + | 0.0199002i | ||||
\(772\) | 4.02766 | − | 2.12363i | 0.144959 | − | 0.0764309i | ||||
\(773\) | 17.9067 | + | 10.3385i | 0.644061 | + | 0.371849i | 0.786177 | − | 0.618001i | \(-0.212057\pi\) |
−0.142116 | + | 0.989850i | \(0.545391\pi\) | |||||||
\(774\) | −22.3484 | − | 7.14903i | −0.803298 | − | 0.256967i | ||||
\(775\) | 5.20699 | + | 9.01876i | 0.187040 | + | 0.323964i | ||||
\(776\) | −0.0698349 | − | 0.337180i | −0.00250693 | − | 0.0121040i | ||||
\(777\) | −28.0550 | + | 1.00395i | −1.00647 | + | 0.0360165i | ||||
\(778\) | 5.80716 | − | 5.58845i | 0.208197 | − | 0.200356i | ||||
\(779\) | −38.6741 | − | 22.3285i | −1.38564 | − | 0.800001i | ||||
\(780\) | −0.490438 | − | 0.963320i | −0.0175605 | − | 0.0344924i | ||||
\(781\) | 9.37703 | − | 5.41383i | 0.335536 | − | 0.193722i | ||||
\(782\) | 8.47630 | + | 8.80804i | 0.303112 | + | 0.314975i | ||||
\(783\) | −1.69602 | + | 2.66642i | −0.0606108 | + | 0.0952900i | ||||
\(784\) | −27.9923 | + | 0.654845i | −0.999726 | + | 0.0233873i | ||||
\(785\) | −7.70140 | + | 13.3392i | −0.274875 | + | 0.476097i | ||||
\(786\) | 4.83726 | − | 15.9021i | 0.172539 | − | 0.567210i | ||||
\(787\) | 41.2661i | 1.47098i | 0.677536 | + | 0.735489i | \(0.263048\pi\) | ||||
−0.677536 | + | 0.735489i | \(0.736952\pi\) | |||||||
\(788\) | −25.0773 | − | 47.5614i | −0.893340 | − | 1.69431i | ||||
\(789\) | 15.4657 | − | 8.63653i | 0.550595 | − | 0.307469i | ||||
\(790\) | −11.1592 | − | 3.22085i | −0.397028 | − | 0.114593i | ||||
\(791\) | 46.3032 | − | 2.32062i | 1.64635 | − | 0.0825119i | ||||
\(792\) | 12.7400 | − | 35.1210i | 0.452696 | − | 1.24797i | ||||
\(793\) | 0.442514 | + | 0.766457i | 0.0157141 | + | 0.0272177i | ||||
\(794\) | 9.16568 | − | 8.82047i | 0.325278 | − | 0.313027i | ||||
\(795\) | 3.31477 | − | 1.85107i | 0.117563 | − | 0.0656506i | ||||
\(796\) | 0.694054 | − | 18.0742i | 0.0246001 | − | 0.640623i | ||||
\(797\) | −6.56746 | + | 3.79172i | −0.232631 | + | 0.134310i | −0.611785 | − | 0.791024i | \(-0.709548\pi\) |
0.379154 | + | 0.925334i | \(0.376215\pi\) | |||||||
\(798\) | 30.3903 | − | 8.68553i | 1.07580 | − | 0.307465i | ||||
\(799\) | −1.28800 | + | 2.23088i | −0.0455661 | + | 0.0789228i | ||||
\(800\) | 23.8664 | − | 3.99484i | 0.843804 | − | 0.141239i | ||||
\(801\) | 21.8637 | + | 40.5027i | 0.772517 | + | 1.43109i | ||||
\(802\) | 7.49095 | − | 25.9538i | 0.264515 | − | 0.916460i | ||||
\(803\) | 47.1090i | 1.66244i | ||||||||
\(804\) | −8.98639 | + | 4.57508i | −0.316925 | + | 0.161351i | ||||
\(805\) | 0.574236 | + | 11.4577i | 0.0202392 | + | 0.403830i | ||||
\(806\) | 0.910863 | − | 0.876557i | 0.0320838 | − | 0.0308754i | ||||
\(807\) | −5.62788 | + | 9.43348i | −0.198111 | + | 0.332074i | ||||
\(808\) | 13.7491 | − | 41.5768i | 0.483692 | − | 1.46267i | ||||
\(809\) | 15.8159 | − | 27.3939i | 0.556056 | − | 0.963117i | −0.441765 | − | 0.897131i | \(-0.645647\pi\) |
0.997821 | − | 0.0659862i | \(-0.0210193\pi\) | |||||||
\(810\) | −10.2043 | − | 3.58916i | −0.358543 | − | 0.126110i | ||||
\(811\) | 12.8429i | 0.450976i | 0.974246 | + | 0.225488i | \(0.0723977\pi\) | ||||
−0.974246 | + | 0.225488i | \(0.927602\pi\) | |||||||
\(812\) | 1.57634 | − | 2.80558i | 0.0553189 | − | 0.0984564i | ||||
\(813\) | −43.9941 | + | 24.5677i | −1.54294 | + | 0.861626i | ||||
\(814\) | −10.5779 | + | 36.6490i | −0.370755 | + | 1.28455i | ||||
\(815\) | 2.76401 | 0.0968192 | ||||||||
\(816\) | 10.6568 | − | 4.92010i | 0.373063 | − | 0.172238i | ||||
\(817\) | −26.9728 | −0.943660 | ||||||||
\(818\) | −0.261057 | + | 0.0646072i | −0.00912763 | + | 0.00225894i | ||||
\(819\) | 0.0625478 | + | 2.91368i | 0.00218560 | + | 0.101812i | ||||
\(820\) | −7.25893 | − | 13.7673i | −0.253493 | − | 0.480773i | ||||
\(821\) | 43.0000i | 1.50071i | 0.661034 | + | 0.750356i | \(0.270118\pi\) | ||||
−0.661034 | + | 0.750356i | \(0.729882\pi\) | |||||||
\(822\) | −17.1495 | + | 16.0374i | −0.598157 | + | 0.559369i | ||||
\(823\) | 16.8320 | 0.586725 | 0.293362 | − | 0.956001i | \(-0.405226\pi\) | ||||
0.293362 | + | 0.956001i | \(0.405226\pi\) | |||||||
\(824\) | −8.83507 | − | 42.6578i | −0.307784 | − | 1.48606i | ||||
\(825\) | −16.7137 | + | 28.0157i | −0.581898 | + | 0.975380i | ||||
\(826\) | 23.0841 | + | 5.42724i | 0.803198 | + | 0.188838i | ||||
\(827\) | − | 54.9483i | − | 1.91074i | −0.295413 | − | 0.955370i | \(-0.595457\pi\) | ||
0.295413 | − | 0.955370i | \(-0.404543\pi\) | |||||||
\(828\) | 2.04927 | − | 30.5432i | 0.0712171 | − | 1.06145i | ||||
\(829\) | −44.4279 | − | 25.6505i | −1.54305 | − | 0.890878i | −0.998644 | − | 0.0520535i | \(-0.983423\pi\) |
−0.544402 | − | 0.838825i | \(-0.683243\pi\) | |||||||
\(830\) | −9.51128 | − | 9.88352i | −0.330141 | − | 0.343062i | ||||
\(831\) | 14.5677 | + | 26.0868i | 0.505347 | + | 0.904942i | ||||
\(832\) | −1.16671 | − | 2.69575i | −0.0404483 | − | 0.0934583i | ||||
\(833\) | 11.8000 | − | 1.18576i | 0.408845 | − | 0.0410842i | ||||
\(834\) | 23.9864 | + | 25.6497i | 0.830580 | + | 0.888175i | ||||
\(835\) | 5.92370i | 0.204998i | ||||||||
\(836\) | 1.64797 | − | 42.9155i | 0.0569961 | − | 1.48427i | ||||
\(837\) | 0.542750 | − | 12.6382i | 0.0187602 | − | 0.436841i | ||||
\(838\) | 5.41196 | − | 5.20813i | 0.186953 | − | 0.179912i | ||||
\(839\) | −22.6586 | + | 39.2459i | −0.782262 | + | 1.35492i | 0.148358 | + | 0.988934i | \(0.452601\pi\) |
−0.930621 | + | 0.365985i | \(0.880732\pi\) | |||||||
\(840\) | 10.5756 | + | 3.08234i | 0.364892 | + | 0.106351i | ||||
\(841\) | −14.3151 | − | 24.7944i | −0.493623 | − | 0.854980i | ||||
\(842\) | −33.0682 | − | 9.54437i | −1.13961 | − | 0.328921i | ||||
\(843\) | −16.5120 | − | 9.85082i | −0.568703 | − | 0.339280i | ||||
\(844\) | 4.62726 | − | 7.34821i | 0.159277 | − | 0.252936i | ||||
\(845\) | −9.46893 | + | 5.46689i | −0.325741 | + | 0.188067i | ||||
\(846\) | 6.30371 | − | 1.36995i | 0.216726 | − | 0.0470997i | ||||
\(847\) | −12.0416 | − | 18.6355i | −0.413754 | − | 0.640322i | ||||
\(848\) | 9.30377 | − | 4.45798i | 0.319493 | − | 0.153088i | ||||
\(849\) | −27.1609 | − | 0.388597i | −0.932159 | − | 0.0133366i | ||||
\(850\) | −9.94908 | + | 2.46223i | −0.341251 | + | 0.0844539i | ||||
\(851\) | 31.2548i | 1.07140i | ||||||||
\(852\) | −3.86499 | − | 7.59161i | −0.132412 | − | 0.260084i | ||||
\(853\) | −4.32326 | − | 2.49603i | −0.148026 | − | 0.0854626i | 0.424158 | − | 0.905588i | \(-0.360570\pi\) |
−0.572183 | + | 0.820126i | \(0.693903\pi\) | |||||||
\(854\) | −8.77943 | − | 2.06411i | −0.300426 | − | 0.0706324i | ||||
\(855\) | −12.4296 | − | 0.355739i | −0.425084 | − | 0.0121660i | ||||
\(856\) | 7.53132 | − | 22.7744i | 0.257415 | − | 0.778413i | ||||
\(857\) | 8.14366 | + | 14.1052i | 0.278182 | + | 0.481825i | 0.970933 | − | 0.239351i | \(-0.0769348\pi\) |
−0.692751 | + | 0.721177i | \(0.743601\pi\) | |||||||
\(858\) | 3.78857 | + | 1.15245i | 0.129340 | + | 0.0393438i | ||||
\(859\) | −14.3462 | − | 8.28276i | −0.489484 | − | 0.282604i | 0.234876 | − | 0.972025i | \(-0.424532\pi\) |
−0.724361 | + | 0.689421i | \(0.757865\pi\) | |||||||
\(860\) | −7.95472 | − | 5.00918i | −0.271254 | − | 0.170812i | ||||
\(861\) | 1.50060 | + | 41.9335i | 0.0511402 | + | 1.42909i | ||||
\(862\) | 6.37666 | − | 22.0931i | 0.217190 | − | 0.752495i | ||||
\(863\) | 7.53006 | + | 13.0424i | 0.256326 | + | 0.443970i | 0.965255 | − | 0.261310i | \(-0.0841545\pi\) |
−0.708929 | + | 0.705280i | \(0.750821\pi\) | |||||||
\(864\) | −27.0659 | − | 11.4647i | −0.920799 | − | 0.390037i | ||||
\(865\) | 4.95493 | − | 8.58220i | 0.168473 | − | 0.291803i | ||||
\(866\) | −36.5224 | + | 9.03868i | −1.24108 | + | 0.307147i | ||||
\(867\) | 21.3674 | − | 11.9322i | 0.725676 | − | 0.405239i | ||||
\(868\) | 0.150648 | + | 12.8811i | 0.00511333 | + | 0.437214i | ||||
\(869\) | 36.8482 | − | 21.2743i | 1.24999 | − | 0.721682i | ||||
\(870\) | −0.924709 | + | 0.864746i | −0.0313506 | + | 0.0293176i | ||||
\(871\) | −0.534421 | − | 0.925644i | −0.0181082 | − | 0.0313642i | ||||
\(872\) | −47.1114 | + | 9.75747i | −1.59539 | + | 0.330430i | ||||
\(873\) | 0.191586 | − | 0.310939i | 0.00648419 | − | 0.0105237i | ||||
\(874\) | −8.45377 | − | 34.1589i | −0.285953 | − | 1.15544i | ||||
\(875\) | −18.5660 | − | 9.51332i | −0.627645 | − | 0.321609i | ||||
\(876\) | 37.0124 | + | 1.95190i | 1.25053 | + | 0.0659486i | ||||
\(877\) | 29.5344 | + | 17.0517i | 0.997305 | + | 0.575795i | 0.907450 | − | 0.420160i | \(-0.138026\pi\) |
0.0898555 | + | 0.995955i | \(0.471359\pi\) | |||||||
\(878\) | −19.4747 | + | 4.81967i | −0.657240 | + | 0.162656i | ||||
\(879\) | 26.7278 | + | 47.8624i | 0.901507 | + | 1.61436i | ||||
\(880\) | 8.45594 | − | 12.3504i | 0.285050 | − | 0.416333i | ||||
\(881\) | −11.8070 | −0.397789 | −0.198895 | − | 0.980021i | \(-0.563735\pi\) | ||||
−0.198895 | + | 0.980021i | \(0.563735\pi\) | |||||||
\(882\) | −22.0701 | − | 19.8724i | −0.743138 | − | 0.669139i | ||||
\(883\) | − | 20.3874i | − | 0.686089i | −0.939319 | − | 0.343045i | \(-0.888542\pi\) | ||
0.939319 | − | 0.343045i | \(-0.111458\pi\) | |||||||
\(884\) | 0.580264 | + | 1.10053i | 0.0195164 | + | 0.0370147i | ||||
\(885\) | −8.01180 | − | 4.77973i | −0.269314 | − | 0.160669i | ||||
\(886\) | −3.49718 | − | 14.1310i | −0.117490 | − | 0.474739i | ||||
\(887\) | −9.13347 | + | 15.8196i | −0.306672 | + | 0.531172i | −0.977632 | − | 0.210322i | \(-0.932549\pi\) |
0.670960 | + | 0.741493i | \(0.265882\pi\) | |||||||
\(888\) | 28.3559 | + | 9.82928i | 0.951563 | + | 0.329849i | ||||
\(889\) | 19.9775 | − | 38.9877i | 0.670023 | − | 1.30760i | ||||
\(890\) | 4.42995 | + | 17.9000i | 0.148492 | + | 0.600009i | ||||
\(891\) | 35.3947 | − | 17.8181i | 1.18577 | − | 0.596930i | ||||
\(892\) | −1.72585 | + | 44.9438i | −0.0577859 | + | 1.50483i | ||||
\(893\) | 6.42201 | − | 3.70775i | 0.214904 | − | 0.124075i | ||||
\(894\) | 7.28678 | − | 23.9547i | 0.243706 | − | 0.801165i | ||||
\(895\) | 9.64650 | + | 16.7082i | 0.322447 | + | 0.558495i | ||||
\(896\) | 28.1587 | + | 10.1531i | 0.940717 | + | 0.339192i | ||||
\(897\) | 3.24434 | + | 0.0464175i | 0.108325 | + | 0.00154983i | ||||
\(898\) | −32.4569 | + | 8.03253i | −1.08310 | + | 0.268049i | ||||
\(899\) | −1.28220 | − | 0.740277i | −0.0427637 | − | 0.0246896i | ||||
\(900\) | 21.3187 | + | 14.2924i | 0.710623 | + | 0.476412i | ||||
\(901\) | −3.78421 | + | 2.18481i | −0.126070 | + | 0.0727867i | ||||
\(902\) | 54.7789 | + | 15.8107i | 1.82394 | + | 0.526437i | ||||
\(903\) | 13.4489 | + | 21.4814i | 0.447550 | + | 0.714856i | ||||
\(904\) | −47.0561 | − | 15.5611i | −1.56506 | − | 0.517554i | ||||
\(905\) | −6.29405 | + | 10.9016i | −0.209221 | + | 0.362382i | ||||
\(906\) | −34.2012 | + | 31.9834i | −1.13626 | + | 1.06258i | ||||
\(907\) | 44.5767 | − | 25.7364i | 1.48015 | − | 0.854563i | 0.480399 | − | 0.877050i | \(-0.340492\pi\) |
0.999747 | + | 0.0224870i | \(0.00715842\pi\) | |||||||
\(908\) | 22.7957 | − | 36.2003i | 0.756503 | − | 1.20135i | ||||
\(909\) | 40.8727 | − | 22.0635i | 1.35566 | − | 0.731801i | ||||
\(910\) | −0.267223 | + | 1.13660i | −0.00885836 | + | 0.0376779i | ||||
\(911\) | 3.12731 | − | 5.41666i | 0.103612 | − | 0.179462i | −0.809558 | − | 0.587040i | \(-0.800293\pi\) |
0.913170 | + | 0.407578i | \(0.133626\pi\) | |||||||
\(912\) | −33.6494 | − | 3.07292i | −1.11424 | − | 0.101754i | ||||
\(913\) | 50.2488 | 1.66299 | ||||||||
\(914\) | 13.4965 | − | 3.34016i | 0.446424 | − | 0.110483i | ||||
\(915\) | 3.04708 | + | 1.81784i | 0.100733 | + | 0.0600961i | ||||
\(916\) | 51.1825 | + | 1.96542i | 1.69112 | + | 0.0649393i | ||||
\(917\) | −15.0792 | + | 9.74368i | −0.497960 | + | 0.321765i | ||||
\(918\) | 11.8024 | + | 3.96245i | 0.389536 | + | 0.130780i | ||||
\(919\) | 0.939987 | + | 1.62810i | 0.0310073 | + | 0.0537062i | 0.881113 | − | 0.472906i | \(-0.156795\pi\) |
−0.850105 | + | 0.526613i | \(0.823462\pi\) | |||||||
\(920\) | 3.85057 | − | 11.6440i | 0.126950 | − | 0.383891i | ||||
\(921\) | −50.0083 | − | 0.715480i | −1.64783 | − | 0.0235759i | ||||
\(922\) | 12.0095 | + | 3.46627i | 0.395513 | + | 0.114156i | ||||
\(923\) | 0.781975 | − | 0.451473i | 0.0257390 | − | 0.0148604i | ||||
\(924\) | −35.0000 | + | 20.0856i | −1.15141 | + | 0.660766i | ||||
\(925\) | −22.6945 | − | 13.1027i | −0.746191 | − | 0.430813i | ||||
\(926\) | 5.60480 | + | 5.82415i | 0.184185 | + | 0.191394i | ||||
\(927\) | 24.2382 | − | 39.3380i | 0.796086 | − | 1.29203i | ||||
\(928\) | −2.65452 | + | 2.18840i | −0.0871390 | + | 0.0718376i | ||||
\(929\) | −8.60162 | −0.282210 | −0.141105 | − | 0.989995i | \(-0.545065\pi\) | ||||
−0.141105 | + | 0.989995i | \(0.545065\pi\) | |||||||
\(930\) | 1.47490 | − | 4.84861i | 0.0483638 | − | 0.158992i | ||||
\(931\) | −31.1243 | − | 14.0281i | −1.02006 | − | 0.459753i | ||||
\(932\) | −41.6188 | − | 26.2079i | −1.36327 | − | 0.858467i | ||||
\(933\) | −0.248613 | + | 17.3767i | −0.00813921 | + | 0.568888i | ||||
\(934\) | −19.2305 | + | 18.5062i | −0.629240 | + | 0.605541i | ||||
\(935\) | −3.16981 | + | 5.49028i | −0.103664 | + | 0.179551i | ||||
\(936\) | 1.06242 | − | 2.92884i | 0.0347263 | − | 0.0957320i | ||||
\(937\) | −41.3671 | −1.35140 | −0.675702 | − | 0.737175i | \(-0.736159\pi\) | ||||
−0.675702 | + | 0.737175i | \(0.736159\pi\) | |||||||
\(938\) | 10.6028 | + | 2.49281i | 0.346195 | + | 0.0813931i | ||||
\(939\) | −0.465533 | + | 32.5383i | −0.0151921 | + | 1.06185i | ||||
\(940\) | 2.58253 | + | 0.0991697i | 0.0842328 | + | 0.00323456i | ||||
\(941\) | 4.44245i | 0.144820i | 0.997375 | + | 0.0724099i | \(0.0230690\pi\) | ||||
−0.997375 | + | 0.0724099i | \(0.976931\pi\) | |||||||
\(942\) | −43.2417 | + | 10.0474i | −1.40889 | + | 0.327361i | ||||
\(943\) | 46.7162 | 1.52129 | ||||||||
\(944\) | −20.9177 | − | 14.3217i | −0.680814 | − | 0.466132i | ||||
\(945\) | 5.91419 | + | 10.0764i | 0.192388 | + | 0.327786i | ||||
\(946\) | 33.4286 | − | 8.27302i | 1.08686 | − | 0.268979i | ||||
\(947\) | − | 12.5055i | − | 0.406374i | −0.979140 | − | 0.203187i | \(-0.934870\pi\) | ||
0.979140 | − | 0.203187i | \(-0.0651299\pi\) | |||||||
\(948\) | −15.1879 | − | 29.8322i | −0.493281 | − | 0.968904i | ||||
\(949\) | 3.92854i | 0.127526i | ||||||||
\(950\) | 28.3473 | + | 8.18178i | 0.919707 | + | 0.265452i | ||||
\(951\) | 36.7997 | + | 0.526502i | 1.19331 | + | 0.0170730i | ||||
\(952\) | −12.2213 | − | 3.37307i | −0.396094 | − | 0.109322i | ||||
\(953\) | −32.9844 | −1.06847 | −0.534235 | − | 0.845336i | \(-0.679400\pi\) | ||||
−0.534235 | + | 0.845336i | \(0.679400\pi\) | |||||||
\(954\) | 10.4222 | + | 3.33396i | 0.337432 | + | 0.107941i | ||||
\(955\) | 9.72096 | + | 5.61240i | 0.314563 | + | 0.181613i | ||||
\(956\) | 23.2442 | + | 14.6371i | 0.751771 | + | 0.473399i | ||||
\(957\) | 0.0663492 | − | 4.63746i | 0.00214477 | − | 0.149908i | ||||
\(958\) | 13.2304 | + | 13.7483i | 0.427456 | + | 0.444186i | ||||
\(959\) | 25.3293 | − | 1.26946i | 0.817927 | − | 0.0409929i | ||||
\(960\) | −9.35306 | − | 7.15534i | −0.301869 | − | 0.230938i | ||||
\(961\) | −25.0734 | −0.808818 | ||||||||
\(962\) | −0.882117 | + | 3.05626i | −0.0284406 | + | 0.0985377i | ||||
\(963\) | 22.3887 | − | 12.0857i | 0.721467 | − | 0.389455i | ||||
\(964\) | 2.50480 | + | 1.57730i | 0.0806742 | + | 0.0508015i | ||||
\(965\) | 1.67561 | + | 0.967415i | 0.0539399 | + | 0.0311422i | ||||
\(966\) | −22.9893 | + | 23.7646i | −0.739670 | + | 0.764612i | ||||
\(967\) | 2.42437 | + | 4.19914i | 0.0779626 | + | 0.135035i | 0.902371 | − | 0.430961i | \(-0.141825\pi\) |
−0.824408 | + | 0.565996i | \(0.808492\pi\) | |||||||
\(968\) | 4.81053 | + | 23.2264i | 0.154616 | + | 0.746525i | ||||
\(969\) | 14.3100 | + | 0.204737i | 0.459705 | + | 0.00657710i | ||||
\(970\) | 0.105431 | − | 0.101460i | 0.00338518 | − | 0.00325769i | ||||
\(971\) | 20.3750 | − | 11.7635i | 0.653864 | − | 0.377509i | −0.136071 | − | 0.990699i | \(-0.543448\pi\) |
0.789935 | + | 0.613190i | \(0.210114\pi\) | |||||||
\(972\) | −12.5327 | − | 28.5470i | −0.401987 | − | 0.915645i | ||||
\(973\) | −1.89866 | − | 37.8839i | −0.0608684 | − | 1.21450i | ||||
\(974\) | −13.7561 | + | 47.6605i | −0.440774 | + | 1.52714i | ||||
\(975\) | −1.39380 | + | 2.33630i | −0.0446374 | + | 0.0748215i | ||||
\(976\) | 7.95551 | + | 5.44688i | 0.254650 | + | 0.174350i | ||||
\(977\) | 21.8102 | 0.697769 | 0.348885 | − | 0.937166i | \(-0.386561\pi\) | ||||
0.348885 | + | 0.937166i | \(0.386561\pi\) | |||||||
\(978\) | 5.44127 | + | 5.81858i | 0.173993 | + | 0.186058i | ||||
\(979\) | −58.5015 | − | 33.7759i | −1.86972 | − | 1.07948i | ||||
\(980\) | −6.57386 | − | 9.91727i | −0.209994 | − | 0.316795i | ||||
\(981\) | −43.4450 | − | 26.7687i | −1.38709 | − | 0.854659i | ||||
\(982\) | −43.8557 | + | 42.2039i | −1.39949 | + | 1.34678i | ||||
\(983\) | −13.3337 | − | 23.0947i | −0.425280 | − | 0.736607i | 0.571166 | − | 0.820834i | \(-0.306491\pi\) |
−0.996447 | + | 0.0842273i | \(0.973158\pi\) | |||||||
\(984\) | 14.6917 | − | 42.3833i | 0.468355 | − | 1.35113i | ||||
\(985\) | 11.4239 | − | 19.7868i | 0.363996 | − | 0.630460i | ||||
\(986\) | 1.04993 | − | 1.01039i | 0.0334366 | − | 0.0321773i | ||||
\(987\) | −6.15495 | − | 3.26583i | −0.195914 | − | 0.103953i | ||||
\(988\) | 0.137428 | − | 3.57884i | 0.00437218 | − | 0.113858i | ||||
\(989\) | 24.4363 | − | 14.1083i | 0.777029 | − | 0.448618i | ||||
\(990\) | 15.5137 | − | 3.37149i | 0.493056 | − | 0.107153i | ||||
\(991\) | −19.6752 | + | 34.0784i | −0.625002 | + | 1.08253i | 0.363539 | + | 0.931579i | \(0.381568\pi\) |
−0.988541 | + | 0.150956i | \(0.951765\pi\) | |||||||
\(992\) | 4.82235 | − | 12.8995i | 0.153110 | − | 0.409560i | ||||
\(993\) | 36.6424 | + | 0.524251i | 1.16281 | + | 0.0166366i | ||||
\(994\) | −2.10590 | + | 8.95717i | −0.0667951 | + | 0.284104i | ||||
\(995\) | 6.65632 | − | 3.84303i | 0.211019 | − | 0.121832i | ||||
\(996\) | 2.08199 | − | 39.4792i | 0.0659705 | − | 1.25095i | ||||
\(997\) | −12.3067 | + | 7.10530i | −0.389758 | + | 0.225027i | −0.682055 | − | 0.731301i | \(-0.738914\pi\) |
0.292297 | + | 0.956328i | \(0.405580\pi\) | |||||||
\(998\) | 17.8984 | + | 5.16596i | 0.566565 | + | 0.163526i | ||||
\(999\) | 14.7184 | + | 28.2246i | 0.465670 | + | 0.892986i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 504.2.cq.a.277.10 | yes | 184 | |
7.2 | even | 3 | 504.2.w.a.205.71 | yes | 184 | ||
8.5 | even | 2 | inner | 504.2.cq.a.277.9 | yes | 184 | |
9.4 | even | 3 | 504.2.w.a.445.53 | yes | 184 | ||
56.37 | even | 6 | 504.2.w.a.205.53 | ✓ | 184 | ||
63.58 | even | 3 | inner | 504.2.cq.a.373.10 | yes | 184 | |
72.13 | even | 6 | 504.2.w.a.445.71 | yes | 184 | ||
504.373 | even | 6 | inner | 504.2.cq.a.373.9 | yes | 184 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
504.2.w.a.205.53 | ✓ | 184 | 56.37 | even | 6 | ||
504.2.w.a.205.71 | yes | 184 | 7.2 | even | 3 | ||
504.2.w.a.445.53 | yes | 184 | 9.4 | even | 3 | ||
504.2.w.a.445.71 | yes | 184 | 72.13 | even | 6 | ||
504.2.cq.a.277.9 | yes | 184 | 8.5 | even | 2 | inner | |
504.2.cq.a.277.10 | yes | 184 | 1.1 | even | 1 | trivial | |
504.2.cq.a.373.9 | yes | 184 | 504.373 | even | 6 | inner | |
504.2.cq.a.373.10 | yes | 184 | 63.58 | even | 3 | inner |