Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [138,2,Mod(13,138)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(138, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("138.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 138 = 2 \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 138.e (of order \(11\), degree \(10\), 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: | \(1.10193554789\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Coefficient field: | \(\Q(\zeta_{22})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 127.1 | ||
Root | \(-0.841254 + 0.540641i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 138.127 |
Dual form | 138.2.e.a.25.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/138\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(97\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{10}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.841254 | − | 0.540641i | 0.594856 | − | 0.382291i | ||||
\(3\) | −0.142315 | + | 0.989821i | −0.0821655 | + | 0.571474i | ||||
\(4\) | 0.415415 | − | 0.909632i | 0.207708 | − | 0.454816i | ||||
\(5\) | 1.18639 | − | 0.348356i | 0.530571 | − | 0.155790i | −0.00546462 | − | 0.999985i | \(-0.501739\pi\) |
0.536036 | + | 0.844195i | \(0.319921\pi\) | |||||||
\(6\) | 0.415415 | + | 0.909632i | 0.169592 | + | 0.371356i | ||||
\(7\) | 0.968468 | + | 1.11767i | 0.366046 | + | 0.422440i | 0.908656 | − | 0.417545i | \(-0.137109\pi\) |
−0.542610 | + | 0.839985i | \(0.682564\pi\) | |||||||
\(8\) | −0.142315 | − | 0.989821i | −0.0503159 | − | 0.349955i | ||||
\(9\) | −0.959493 | − | 0.281733i | −0.319831 | − | 0.0939109i | ||||
\(10\) | 0.809721 | − | 0.934468i | 0.256056 | − | 0.295505i | ||||
\(11\) | −0.745983 | − | 0.479414i | −0.224922 | − | 0.144549i | 0.423327 | − | 0.905977i | \(-0.360862\pi\) |
−0.648249 | + | 0.761428i | \(0.724499\pi\) | |||||||
\(12\) | 0.841254 | + | 0.540641i | 0.242849 | + | 0.156070i | ||||
\(13\) | −0.0440780 | + | 0.0508687i | −0.0122250 | + | 0.0141084i | −0.761829 | − | 0.647778i | \(-0.775698\pi\) |
0.749604 | + | 0.661886i | \(0.230244\pi\) | |||||||
\(14\) | 1.41899 | + | 0.416652i | 0.379240 | + | 0.111355i | ||||
\(15\) | 0.175969 | + | 1.22389i | 0.0454351 | + | 0.316008i | ||||
\(16\) | −0.654861 | − | 0.755750i | −0.163715 | − | 0.188937i | ||||
\(17\) | −1.78287 | − | 3.90393i | −0.432409 | − | 0.946843i | −0.992930 | − | 0.118703i | \(-0.962126\pi\) |
0.560521 | − | 0.828140i | \(-0.310601\pi\) | |||||||
\(18\) | −0.959493 | + | 0.281733i | −0.226155 | + | 0.0664050i | ||||
\(19\) | −1.93899 | + | 4.24579i | −0.444834 | + | 0.974052i | 0.545851 | + | 0.837882i | \(0.316206\pi\) |
−0.990686 | + | 0.136169i | \(0.956521\pi\) | |||||||
\(20\) | 0.175969 | − | 1.22389i | 0.0393479 | − | 0.273671i | ||||
\(21\) | −1.24412 | + | 0.799549i | −0.271490 | + | 0.174476i | ||||
\(22\) | −0.886752 | −0.189056 | ||||||||
\(23\) | −4.72041 | + | 0.847210i | −0.984273 | + | 0.176655i | ||||
\(24\) | 1.00000 | 0.204124 | ||||||||
\(25\) | −2.92009 | + | 1.87663i | −0.584018 | + | 0.375326i | ||||
\(26\) | −0.00957906 | + | 0.0666238i | −0.00187861 | + | 0.0130660i | ||||
\(27\) | 0.415415 | − | 0.909632i | 0.0799467 | − | 0.175059i | ||||
\(28\) | 1.41899 | − | 0.416652i | 0.268163 | − | 0.0787398i | ||||
\(29\) | −3.18962 | − | 6.98430i | −0.592298 | − | 1.29695i | −0.934044 | − | 0.357159i | \(-0.883745\pi\) |
0.341746 | − | 0.939792i | \(-0.388982\pi\) | |||||||
\(30\) | 0.809721 | + | 0.934468i | 0.147834 | + | 0.170610i | ||||
\(31\) | 0.226488 | + | 1.57526i | 0.0406784 | + | 0.282924i | 1.00000 | 0.000608171i | \(0.000193587\pi\) | |
−0.959321 | + | 0.282316i | \(0.908897\pi\) | |||||||
\(32\) | −0.959493 | − | 0.281733i | −0.169616 | − | 0.0498038i | ||||
\(33\) | 0.580699 | − | 0.670163i | 0.101087 | − | 0.116660i | ||||
\(34\) | −3.61047 | − | 2.32031i | −0.619190 | − | 0.397929i | ||||
\(35\) | 1.53833 | + | 0.988626i | 0.260025 | + | 0.167108i | ||||
\(36\) | −0.654861 | + | 0.755750i | −0.109143 | + | 0.125958i | ||||
\(37\) | 5.01691 | + | 1.47310i | 0.824775 | + | 0.242176i | 0.666771 | − | 0.745263i | \(-0.267676\pi\) |
0.158004 | + | 0.987439i | \(0.449494\pi\) | |||||||
\(38\) | 0.664268 | + | 4.62008i | 0.107758 | + | 0.749477i | ||||
\(39\) | −0.0440780 | − | 0.0508687i | −0.00705812 | − | 0.00814551i | ||||
\(40\) | −0.513652 | − | 1.12474i | −0.0812155 | − | 0.177837i | ||||
\(41\) | 0.130426 | − | 0.0382966i | 0.0203692 | − | 0.00598093i | −0.271532 | − | 0.962429i | \(-0.587530\pi\) |
0.291901 | + | 0.956448i | \(0.405712\pi\) | |||||||
\(42\) | −0.614354 | + | 1.34525i | −0.0947968 | + | 0.207576i | ||||
\(43\) | −0.936145 | + | 6.51103i | −0.142761 | + | 0.992923i | 0.784933 | + | 0.619581i | \(0.212697\pi\) |
−0.927694 | + | 0.373342i | \(0.878212\pi\) | |||||||
\(44\) | −0.745983 | + | 0.479414i | −0.112461 | + | 0.0722745i | ||||
\(45\) | −1.23648 | −0.184323 | ||||||||
\(46\) | −3.51302 | + | 3.26476i | −0.517967 | + | 0.481363i | ||||
\(47\) | 8.31271 | 1.21253 | 0.606266 | − | 0.795262i | \(-0.292666\pi\) | ||||
0.606266 | + | 0.795262i | \(0.292666\pi\) | |||||||
\(48\) | 0.841254 | − | 0.540641i | 0.121424 | − | 0.0780348i | ||||
\(49\) | 0.684944 | − | 4.76389i | 0.0978492 | − | 0.680556i | ||||
\(50\) | −1.44196 | + | 3.15744i | −0.203923 | + | 0.446530i | ||||
\(51\) | 4.11792 | − | 1.20913i | 0.576625 | − | 0.169312i | ||||
\(52\) | 0.0279611 | + | 0.0612263i | 0.00387751 | + | 0.00849057i | ||||
\(53\) | 1.96169 | + | 2.26391i | 0.269458 | + | 0.310971i | 0.874311 | − | 0.485366i | \(-0.161314\pi\) |
−0.604853 | + | 0.796337i | \(0.706768\pi\) | |||||||
\(54\) | −0.142315 | − | 0.989821i | −0.0193666 | − | 0.134698i | ||||
\(55\) | −1.05204 | − | 0.308906i | −0.141857 | − | 0.0416528i | ||||
\(56\) | 0.968468 | − | 1.11767i | 0.129417 | − | 0.149355i | ||||
\(57\) | −3.92663 | − | 2.52349i | −0.520095 | − | 0.334245i | ||||
\(58\) | −6.45928 | − | 4.15112i | −0.848144 | − | 0.545069i | ||||
\(59\) | 4.47647 | − | 5.16612i | 0.582787 | − | 0.672572i | −0.385415 | − | 0.922743i | \(-0.625942\pi\) |
0.968202 | + | 0.250172i | \(0.0804870\pi\) | |||||||
\(60\) | 1.18639 | + | 0.348356i | 0.153163 | + | 0.0449726i | ||||
\(61\) | 0.654669 | + | 4.55332i | 0.0838218 | + | 0.582993i | 0.987837 | + | 0.155493i | \(0.0496966\pi\) |
−0.904015 | + | 0.427500i | \(0.859394\pi\) | |||||||
\(62\) | 1.04218 | + | 1.20274i | 0.132357 | + | 0.152748i | ||||
\(63\) | −0.614354 | − | 1.34525i | −0.0774013 | − | 0.169485i | ||||
\(64\) | −0.959493 | + | 0.281733i | −0.119937 | + | 0.0352166i | ||||
\(65\) | −0.0345733 | + | 0.0757051i | −0.00428830 | + | 0.00939006i | ||||
\(66\) | 0.126198 | − | 0.877726i | 0.0155339 | − | 0.108041i | ||||
\(67\) | 10.4358 | − | 6.70671i | 1.27494 | − | 0.819355i | 0.284686 | − | 0.958621i | \(-0.408111\pi\) |
0.990255 | + | 0.139266i | \(0.0444743\pi\) | |||||||
\(68\) | −4.29177 | −0.520454 | ||||||||
\(69\) | −0.166803 | − | 4.79293i | −0.0200807 | − | 0.577001i | ||||
\(70\) | 1.82862 | 0.218562 | ||||||||
\(71\) | −6.15647 | + | 3.95652i | −0.730639 | + | 0.469553i | −0.852323 | − | 0.523016i | \(-0.824807\pi\) |
0.121684 | + | 0.992569i | \(0.461170\pi\) | |||||||
\(72\) | −0.142315 | + | 0.989821i | −0.0167720 | + | 0.116652i | ||||
\(73\) | 5.48256 | − | 12.0051i | 0.641686 | − | 1.40510i | −0.256961 | − | 0.966422i | \(-0.582721\pi\) |
0.898646 | − | 0.438674i | \(-0.144552\pi\) | |||||||
\(74\) | 5.01691 | − | 1.47310i | 0.583204 | − | 0.171244i | ||||
\(75\) | −1.44196 | − | 3.15744i | −0.166503 | − | 0.364590i | ||||
\(76\) | 3.05662 | + | 3.52753i | 0.350619 | + | 0.404636i | ||||
\(77\) | −0.186633 | − | 1.29806i | −0.0212688 | − | 0.147928i | ||||
\(78\) | −0.0645824 | − | 0.0189631i | −0.00731252 | − | 0.00214715i | ||||
\(79\) | −5.16977 | + | 5.96624i | −0.581645 | + | 0.671254i | −0.967958 | − | 0.251114i | \(-0.919203\pi\) |
0.386313 | + | 0.922368i | \(0.373749\pi\) | |||||||
\(80\) | −1.04019 | − | 0.668491i | −0.116297 | − | 0.0747396i | ||||
\(81\) | 0.841254 | + | 0.540641i | 0.0934726 | + | 0.0600712i | ||||
\(82\) | 0.0890169 | − | 0.102731i | 0.00983027 | − | 0.0113447i | ||||
\(83\) | 8.06797 | + | 2.36897i | 0.885575 | + | 0.260028i | 0.692727 | − | 0.721200i | \(-0.256409\pi\) |
0.192848 | + | 0.981229i | \(0.438227\pi\) | |||||||
\(84\) | 0.210468 | + | 1.46384i | 0.0229640 | + | 0.159718i | ||||
\(85\) | −3.47514 | − | 4.01052i | −0.376932 | − | 0.435002i | ||||
\(86\) | 2.73259 | + | 5.98354i | 0.294663 | + | 0.645222i | ||||
\(87\) | 7.36714 | − | 2.16319i | 0.789840 | − | 0.231918i | ||||
\(88\) | −0.368370 | + | 0.806618i | −0.0392684 | + | 0.0859858i | ||||
\(89\) | −1.66842 | + | 11.6041i | −0.176852 | + | 1.23004i | 0.687138 | + | 0.726527i | \(0.258867\pi\) |
−0.863990 | + | 0.503509i | \(0.832042\pi\) | |||||||
\(90\) | −1.04019 | + | 0.668491i | −0.109646 | + | 0.0704651i | ||||
\(91\) | −0.0995426 | −0.0104349 | ||||||||
\(92\) | −1.19028 | + | 4.64578i | −0.124095 | + | 0.484356i | ||||
\(93\) | −1.59145 | −0.165026 | ||||||||
\(94\) | 6.99309 | − | 4.49419i | 0.721283 | − | 0.463540i | ||||
\(95\) | −0.821353 | + | 5.71264i | −0.0842691 | + | 0.586104i | ||||
\(96\) | 0.415415 | − | 0.909632i | 0.0423981 | − | 0.0928389i | ||||
\(97\) | 16.4711 | − | 4.83636i | 1.67239 | − | 0.491058i | 0.698033 | − | 0.716066i | \(-0.254059\pi\) |
0.974357 | + | 0.225008i | \(0.0722409\pi\) | |||||||
\(98\) | −1.99934 | − | 4.37795i | −0.201964 | − | 0.442240i | ||||
\(99\) | 0.580699 | + | 0.670163i | 0.0583625 | + | 0.0673539i | ||||
\(100\) | 0.493992 | + | 3.43579i | 0.0493992 | + | 0.343579i | ||||
\(101\) | −5.74460 | − | 1.68677i | −0.571609 | − | 0.167840i | −0.0168608 | − | 0.999858i | \(-0.505367\pi\) |
−0.554748 | + | 0.832018i | \(0.687185\pi\) | |||||||
\(102\) | 2.81051 | − | 3.24350i | 0.278282 | − | 0.321155i | ||||
\(103\) | −13.1585 | − | 8.45644i | −1.29654 | − | 0.833238i | −0.303712 | − | 0.952764i | \(-0.598226\pi\) |
−0.992831 | + | 0.119526i | \(0.961862\pi\) | |||||||
\(104\) | 0.0566239 | + | 0.0363899i | 0.00555243 | + | 0.00356833i | ||||
\(105\) | −1.19749 | + | 1.38198i | −0.116863 | + | 0.134867i | ||||
\(106\) | 2.87423 | + | 0.843951i | 0.279170 | + | 0.0819718i | ||||
\(107\) | 1.96658 | + | 13.6779i | 0.190117 | + | 1.32229i | 0.831695 | + | 0.555233i | \(0.187371\pi\) |
−0.641578 | + | 0.767057i | \(0.721720\pi\) | |||||||
\(108\) | −0.654861 | − | 0.755750i | −0.0630140 | − | 0.0727220i | ||||
\(109\) | 4.48089 | + | 9.81177i | 0.429191 | + | 0.939797i | 0.993457 | + | 0.114204i | \(0.0364319\pi\) |
−0.564266 | + | 0.825593i | \(0.690841\pi\) | |||||||
\(110\) | −1.05204 | + | 0.308906i | −0.100308 | + | 0.0294530i | ||||
\(111\) | −2.17208 | + | 4.75620i | −0.206165 | + | 0.451438i | ||||
\(112\) | 0.210468 | − | 1.46384i | 0.0198874 | − | 0.138320i | ||||
\(113\) | −3.84480 | + | 2.47090i | −0.361688 | + | 0.232443i | −0.708845 | − | 0.705364i | \(-0.750783\pi\) |
0.347157 | + | 0.937807i | \(0.387147\pi\) | |||||||
\(114\) | −4.66759 | −0.437160 | ||||||||
\(115\) | −5.30513 | + | 2.64951i | −0.494705 | + | 0.247068i | ||||
\(116\) | −7.67816 | −0.712899 | ||||||||
\(117\) | 0.0566239 | − | 0.0363899i | 0.00523488 | − | 0.00336425i | ||||
\(118\) | 0.972830 | − | 6.76618i | 0.0895563 | − | 0.622878i | ||||
\(119\) | 2.63667 | − | 5.77349i | 0.241703 | − | 0.529255i | ||||
\(120\) | 1.18639 | − | 0.348356i | 0.108302 | − | 0.0318004i | ||||
\(121\) | −4.24291 | − | 9.29068i | −0.385719 | − | 0.844607i | ||||
\(122\) | 3.01245 | + | 3.47656i | 0.272735 | + | 0.314753i | ||||
\(123\) | 0.0193452 | + | 0.134549i | 0.00174430 | + | 0.0121319i | ||||
\(124\) | 1.52699 | + | 0.448364i | 0.137128 | + | 0.0402643i | ||||
\(125\) | −6.85925 | + | 7.91599i | −0.613510 | + | 0.708028i | ||||
\(126\) | −1.24412 | − | 0.799549i | −0.110835 | − | 0.0712295i | ||||
\(127\) | −12.1204 | − | 7.78931i | −1.07551 | − | 0.691190i | −0.121996 | − | 0.992531i | \(-0.538929\pi\) |
−0.953516 | + | 0.301341i | \(0.902566\pi\) | |||||||
\(128\) | −0.654861 | + | 0.755750i | −0.0578821 | + | 0.0667995i | ||||
\(129\) | −6.31153 | − | 1.85323i | −0.555699 | − | 0.163168i | ||||
\(130\) | 0.0118443 | + | 0.0823789i | 0.00103881 | + | 0.00722511i | ||||
\(131\) | 2.99925 | + | 3.46132i | 0.262045 | + | 0.302417i | 0.871491 | − | 0.490411i | \(-0.163153\pi\) |
−0.609446 | + | 0.792828i | \(0.708608\pi\) | |||||||
\(132\) | −0.368370 | − | 0.806618i | −0.0320625 | − | 0.0702071i | ||||
\(133\) | −6.62325 | + | 1.94476i | −0.574309 | + | 0.168632i | ||||
\(134\) | 5.15327 | − | 11.2841i | 0.445175 | − | 0.974796i | ||||
\(135\) | 0.175969 | − | 1.22389i | 0.0151450 | − | 0.105336i | ||||
\(136\) | −3.61047 | + | 2.32031i | −0.309595 | + | 0.198965i | ||||
\(137\) | −9.22788 | −0.788391 | −0.394196 | − | 0.919027i | \(-0.628977\pi\) | ||||
−0.394196 | + | 0.919027i | \(0.628977\pi\) | |||||||
\(138\) | −2.73158 | − | 3.94189i | −0.232527 | − | 0.335556i | ||||
\(139\) | 7.82143 | 0.663405 | 0.331702 | − | 0.943384i | \(-0.392377\pi\) | ||||
0.331702 | + | 0.943384i | \(0.392377\pi\) | |||||||
\(140\) | 1.53833 | − | 0.988626i | 0.130013 | − | 0.0835541i | ||||
\(141\) | −1.18302 | + | 8.22810i | −0.0996284 | + | 0.692931i | ||||
\(142\) | −3.04009 | + | 6.65688i | −0.255119 | + | 0.558633i | ||||
\(143\) | 0.0572686 | − | 0.0168156i | 0.00478904 | − | 0.00140619i | ||||
\(144\) | 0.415415 | + | 0.909632i | 0.0346179 | + | 0.0758027i | ||||
\(145\) | −6.21717 | − | 7.17499i | −0.516308 | − | 0.595851i | ||||
\(146\) | −1.87824 | − | 13.0635i | −0.155444 | − | 1.08114i | ||||
\(147\) | 4.61792 | + | 1.35595i | 0.380880 | + | 0.111836i | ||||
\(148\) | 3.42408 | − | 3.95159i | 0.281457 | − | 0.324819i | ||||
\(149\) | −4.16624 | − | 2.67748i | −0.341312 | − | 0.219348i | 0.358744 | − | 0.933436i | \(-0.383205\pi\) |
−0.700056 | + | 0.714088i | \(0.746841\pi\) | |||||||
\(150\) | −2.92009 | − | 1.87663i | −0.238425 | − | 0.153226i | ||||
\(151\) | −10.0611 | + | 11.6111i | −0.818757 | + | 0.944896i | −0.999252 | − | 0.0386804i | \(-0.987685\pi\) |
0.180495 | + | 0.983576i | \(0.442230\pi\) | |||||||
\(152\) | 4.47852 | + | 1.31501i | 0.363256 | + | 0.106662i | ||||
\(153\) | 0.610783 | + | 4.24809i | 0.0493789 | + | 0.343438i | ||||
\(154\) | −0.858791 | − | 0.991098i | −0.0692034 | − | 0.0798649i | ||||
\(155\) | 0.817453 | + | 1.78997i | 0.0656594 | + | 0.143774i | ||||
\(156\) | −0.0645824 | + | 0.0189631i | −0.00517073 | + | 0.00151826i | ||||
\(157\) | 5.19570 | − | 11.3770i | 0.414662 | − | 0.907983i | −0.580909 | − | 0.813969i | \(-0.697303\pi\) |
0.995571 | − | 0.0940146i | \(-0.0299701\pi\) | |||||||
\(158\) | −1.12350 | + | 7.81411i | −0.0893808 | + | 0.621657i | ||||
\(159\) | −2.52004 | + | 1.61953i | −0.199852 | + | 0.128437i | ||||
\(160\) | −1.23648 | −0.0977522 | ||||||||
\(161\) | −5.51846 | − | 4.45537i | −0.434916 | − | 0.351132i | ||||
\(162\) | 1.00000 | 0.0785674 | ||||||||
\(163\) | −8.77430 | + | 5.63890i | −0.687257 | + | 0.441673i | −0.837110 | − | 0.547035i | \(-0.815756\pi\) |
0.149853 | + | 0.988708i | \(0.452120\pi\) | |||||||
\(164\) | 0.0193452 | − | 0.134549i | 0.00151061 | − | 0.0105065i | ||||
\(165\) | 0.455482 | − | 0.997366i | 0.0354592 | − | 0.0776449i | ||||
\(166\) | 8.06797 | − | 2.36897i | 0.626196 | − | 0.183868i | ||||
\(167\) | −10.5384 | − | 23.0759i | −0.815486 | − | 1.78567i | −0.581755 | − | 0.813364i | \(-0.697634\pi\) |
−0.233732 | − | 0.972301i | \(-0.575094\pi\) | |||||||
\(168\) | 0.968468 | + | 1.11767i | 0.0747189 | + | 0.0862302i | ||||
\(169\) | 1.84945 | + | 12.8632i | 0.142265 | + | 0.989476i | ||||
\(170\) | −5.09173 | − | 1.49507i | −0.390518 | − | 0.114666i | ||||
\(171\) | 3.05662 | − | 3.52753i | 0.233746 | − | 0.269757i | ||||
\(172\) | 5.53375 | + | 3.55633i | 0.421945 | + | 0.271167i | ||||
\(173\) | 14.4651 | + | 9.29615i | 1.09976 | + | 0.706773i | 0.959039 | − | 0.283276i | \(-0.0914212\pi\) |
0.140722 | + | 0.990049i | \(0.455058\pi\) | |||||||
\(174\) | 5.02812 | − | 5.80276i | 0.381181 | − | 0.439906i | ||||
\(175\) | −4.92547 | − | 1.44625i | −0.372331 | − | 0.109326i | ||||
\(176\) | 0.126198 | + | 0.877726i | 0.00951253 | + | 0.0661611i | ||||
\(177\) | 4.47647 | + | 5.16612i | 0.336472 | + | 0.388310i | ||||
\(178\) | 4.87010 | + | 10.6640i | 0.365030 | + | 0.799304i | ||||
\(179\) | 5.86058 | − | 1.72082i | 0.438040 | − | 0.128620i | −0.0552742 | − | 0.998471i | \(-0.517603\pi\) |
0.493315 | + | 0.869851i | \(0.335785\pi\) | |||||||
\(180\) | −0.513652 | + | 1.12474i | −0.0382854 | + | 0.0838332i | ||||
\(181\) | −3.05836 | + | 21.2713i | −0.227326 | + | 1.58109i | 0.481978 | + | 0.876183i | \(0.339919\pi\) |
−0.709304 | + | 0.704903i | \(0.750991\pi\) | |||||||
\(182\) | −0.0837405 | + | 0.0538168i | −0.00620726 | + | 0.00398916i | ||||
\(183\) | −4.60015 | −0.340053 | ||||||||
\(184\) | 1.51037 | + | 4.55179i | 0.111346 | + | 0.335562i | ||||
\(185\) | 6.46519 | 0.475330 | ||||||||
\(186\) | −1.33882 | + | 0.860405i | −0.0981668 | + | 0.0630880i | ||||
\(187\) | −0.541613 | + | 3.76700i | −0.0396067 | + | 0.275470i | ||||
\(188\) | 3.45322 | − | 7.56150i | 0.251852 | − | 0.551479i | ||||
\(189\) | 1.41899 | − | 0.416652i | 0.103216 | − | 0.0303070i | ||||
\(190\) | 2.39752 | + | 5.24983i | 0.173934 | + | 0.380863i | ||||
\(191\) | 1.85635 | + | 2.14235i | 0.134321 | + | 0.155015i | 0.818925 | − | 0.573900i | \(-0.194570\pi\) |
−0.684604 | + | 0.728915i | \(0.740025\pi\) | |||||||
\(192\) | −0.142315 | − | 0.989821i | −0.0102707 | − | 0.0714342i | ||||
\(193\) | 23.1120 | + | 6.78629i | 1.66364 | + | 0.488488i | 0.972240 | − | 0.233986i | \(-0.0751770\pi\) |
0.691398 | + | 0.722474i | \(0.256995\pi\) | |||||||
\(194\) | 11.2417 | − | 12.9736i | 0.807104 | − | 0.931448i | ||||
\(195\) | −0.0700142 | − | 0.0449954i | −0.00501382 | − | 0.00322219i | ||||
\(196\) | −4.04885 | − | 2.60204i | −0.289204 | − | 0.185860i | ||||
\(197\) | 16.1131 | − | 18.5955i | 1.14801 | − | 1.32488i | 0.210232 | − | 0.977652i | \(-0.432578\pi\) |
0.937781 | − | 0.347226i | \(-0.112876\pi\) | |||||||
\(198\) | 0.850833 | + | 0.249827i | 0.0604660 | + | 0.0177544i | ||||
\(199\) | −0.893429 | − | 6.21393i | −0.0633335 | − | 0.440494i | −0.996673 | − | 0.0815000i | \(-0.974029\pi\) |
0.933340 | − | 0.358994i | \(-0.116880\pi\) | |||||||
\(200\) | 2.27310 | + | 2.62330i | 0.160732 | + | 0.185495i | ||||
\(201\) | 5.15327 | + | 11.2841i | 0.363483 | + | 0.795918i | ||||
\(202\) | −5.74460 | + | 1.68677i | −0.404189 | + | 0.118680i | ||||
\(203\) | 4.71710 | − | 10.3290i | 0.331076 | − | 0.724955i | ||||
\(204\) | 0.610783 | − | 4.24809i | 0.0427633 | − | 0.297426i | ||||
\(205\) | 0.141396 | − | 0.0908697i | 0.00987552 | − | 0.00634661i | ||||
\(206\) | −15.6415 | −1.08980 | ||||||||
\(207\) | 4.76788 | + | 0.517000i | 0.331391 | + | 0.0359340i | ||||
\(208\) | 0.0673089 | 0.00466703 | ||||||||
\(209\) | 3.48195 | − | 2.23771i | 0.240851 | − | 0.154786i | ||||
\(210\) | −0.260239 | + | 1.81001i | −0.0179582 | + | 0.124902i | ||||
\(211\) | 8.05469 | − | 17.6373i | 0.554508 | − | 1.21420i | −0.400137 | − | 0.916455i | \(-0.631037\pi\) |
0.954645 | − | 0.297748i | \(-0.0962354\pi\) | |||||||
\(212\) | 2.87423 | − | 0.843951i | 0.197403 | − | 0.0579628i | ||||
\(213\) | −3.04009 | − | 6.65688i | −0.208304 | − | 0.456122i | ||||
\(214\) | 9.04921 | + | 10.4433i | 0.618591 | + | 0.713892i | ||||
\(215\) | 1.15752 | + | 8.05075i | 0.0789424 | + | 0.549057i | ||||
\(216\) | −0.959493 | − | 0.281733i | −0.0652852 | − | 0.0191695i | ||||
\(217\) | −1.54127 | + | 1.77872i | −0.104628 | + | 0.120748i | ||||
\(218\) | 9.07421 | + | 5.83164i | 0.614583 | + | 0.394968i | ||||
\(219\) | 11.1027 | + | 7.13527i | 0.750251 | + | 0.482157i | ||||
\(220\) | −0.718022 | + | 0.828642i | −0.0484091 | + | 0.0558670i | ||||
\(221\) | 0.277173 | + | 0.0813853i | 0.0186447 | + | 0.00547457i | ||||
\(222\) | 0.744123 | + | 5.17549i | 0.0499422 | + | 0.347356i | ||||
\(223\) | −13.4728 | − | 15.5484i | −0.902204 | − | 1.04120i | −0.998947 | − | 0.0458898i | \(-0.985388\pi\) |
0.0967422 | − | 0.995309i | \(-0.469158\pi\) | |||||||
\(224\) | −0.614354 | − | 1.34525i | −0.0410482 | − | 0.0898831i | ||||
\(225\) | 3.33052 | − | 0.977928i | 0.222034 | − | 0.0651952i | ||||
\(226\) | −1.89858 | + | 4.15731i | −0.126292 | + | 0.276540i | ||||
\(227\) | 3.27655 | − | 22.7889i | 0.217472 | − | 1.51255i | −0.529851 | − | 0.848091i | \(-0.677752\pi\) |
0.747323 | − | 0.664461i | \(-0.231339\pi\) | |||||||
\(228\) | −3.92663 | + | 2.52349i | −0.260047 | + | 0.167122i | ||||
\(229\) | 7.50367 | 0.495857 | 0.247928 | − | 0.968778i | \(-0.420250\pi\) | ||||
0.247928 | + | 0.968778i | \(0.420250\pi\) | |||||||
\(230\) | −3.03052 | + | 5.09707i | −0.199827 | + | 0.336091i | ||||
\(231\) | 1.31141 | 0.0862845 | ||||||||
\(232\) | −6.45928 | + | 4.15112i | −0.424072 | + | 0.272535i | ||||
\(233\) | −3.46796 | + | 24.1202i | −0.227194 | + | 1.58017i | 0.482654 | + | 0.875811i | \(0.339673\pi\) |
−0.709848 | + | 0.704355i | \(0.751236\pi\) | |||||||
\(234\) | 0.0279611 | − | 0.0612263i | 0.00182788 | − | 0.00400249i | ||||
\(235\) | 9.86214 | − | 2.89578i | 0.643335 | − | 0.188900i | ||||
\(236\) | −2.83968 | − | 6.21803i | −0.184847 | − | 0.404759i | ||||
\(237\) | −5.16977 | − | 5.96624i | −0.335813 | − | 0.387549i | ||||
\(238\) | −0.903281 | − | 6.28246i | −0.0585510 | − | 0.407231i | ||||
\(239\) | −8.34418 | − | 2.45007i | −0.539740 | − | 0.158482i | 0.000489053 | − | 1.00000i | \(-0.499844\pi\) |
−0.540229 | + | 0.841518i | \(0.681663\pi\) | |||||||
\(240\) | 0.809721 | − | 0.934468i | 0.0522673 | − | 0.0603197i | ||||
\(241\) | −4.77592 | − | 3.06930i | −0.307644 | − | 0.197711i | 0.377704 | − | 0.925926i | \(-0.376714\pi\) |
−0.685348 | + | 0.728216i | \(0.740350\pi\) | |||||||
\(242\) | −8.59229 | − | 5.52193i | −0.552333 | − | 0.354963i | ||||
\(243\) | −0.654861 | + | 0.755750i | −0.0420093 | + | 0.0484814i | ||||
\(244\) | 4.41381 | + | 1.29601i | 0.282565 | + | 0.0829686i | ||||
\(245\) | −0.846919 | − | 5.89045i | −0.0541077 | − | 0.376327i | ||||
\(246\) | 0.0890169 | + | 0.102731i | 0.00567551 | + | 0.00654989i | ||||
\(247\) | −0.130511 | − | 0.285780i | −0.00830423 | − | 0.0181837i | ||||
\(248\) | 1.52699 | − | 0.448364i | 0.0969639 | − | 0.0284712i | ||||
\(249\) | −3.49305 | + | 7.64871i | −0.221363 | + | 0.484717i | ||||
\(250\) | −1.49066 | + | 10.3677i | −0.0942774 | + | 0.655714i | ||||
\(251\) | 5.03416 | − | 3.23526i | 0.317753 | − | 0.204208i | −0.372035 | − | 0.928219i | \(-0.621340\pi\) |
0.689788 | + | 0.724011i | \(0.257704\pi\) | |||||||
\(252\) | −1.47889 | −0.0931614 | ||||||||
\(253\) | 3.92751 | + | 1.63103i | 0.246920 | + | 0.102542i | ||||
\(254\) | −14.4076 | −0.904010 | ||||||||
\(255\) | 4.46427 | − | 2.86901i | 0.279563 | − | 0.179664i | ||||
\(256\) | −0.142315 | + | 0.989821i | −0.00889468 | + | 0.0618638i | ||||
\(257\) | 6.46313 | − | 14.1523i | 0.403159 | − | 0.882794i | −0.593781 | − | 0.804626i | \(-0.702366\pi\) |
0.996940 | − | 0.0781681i | \(-0.0249071\pi\) | |||||||
\(258\) | −6.31153 | + | 1.85323i | −0.392939 | + | 0.115377i | ||||
\(259\) | 3.21228 | + | 7.03390i | 0.199601 | + | 0.437065i | ||||
\(260\) | 0.0545015 | + | 0.0628980i | 0.00338004 | + | 0.00390077i | ||||
\(261\) | 1.09272 | + | 7.60000i | 0.0676374 | + | 0.470428i | ||||
\(262\) | 4.39446 | + | 1.29033i | 0.271490 | + | 0.0797168i | ||||
\(263\) | −6.72323 | + | 7.75903i | −0.414572 | + | 0.478442i | −0.924176 | − | 0.381967i | \(-0.875247\pi\) |
0.509603 | + | 0.860409i | \(0.329792\pi\) | |||||||
\(264\) | −0.745983 | − | 0.479414i | −0.0459121 | − | 0.0295059i | ||||
\(265\) | 3.11597 | + | 2.00252i | 0.191413 | + | 0.123014i | ||||
\(266\) | −4.52041 | + | 5.21684i | −0.277164 | + | 0.319865i | ||||
\(267\) | −11.2486 | − | 3.30288i | −0.688402 | − | 0.202133i | ||||
\(268\) | −1.76543 | − | 12.2788i | −0.107841 | − | 0.750050i | ||||
\(269\) | 2.12380 | + | 2.45100i | 0.129491 | + | 0.149440i | 0.816792 | − | 0.576932i | \(-0.195750\pi\) |
−0.687301 | + | 0.726372i | \(0.741205\pi\) | |||||||
\(270\) | −0.513652 | − | 1.12474i | −0.0312599 | − | 0.0684495i | ||||
\(271\) | −14.8782 | + | 4.36865i | −0.903789 | + | 0.265376i | −0.700424 | − | 0.713727i | \(-0.747006\pi\) |
−0.203365 | + | 0.979103i | \(0.565188\pi\) | |||||||
\(272\) | −1.78287 | + | 3.90393i | −0.108102 | + | 0.236711i | ||||
\(273\) | 0.0141664 | − | 0.0985294i | 0.000857389 | − | 0.00596327i | ||||
\(274\) | −7.76299 | + | 4.98897i | −0.468979 | + | 0.301395i | ||||
\(275\) | 3.07802 | 0.185612 | ||||||||
\(276\) | −4.42909 | − | 1.83933i | −0.266600 | − | 0.110714i | ||||
\(277\) | 2.16313 | 0.129970 | 0.0649849 | − | 0.997886i | \(-0.479300\pi\) | ||||
0.0649849 | + | 0.997886i | \(0.479300\pi\) | |||||||
\(278\) | 6.57980 | − | 4.22858i | 0.394630 | − | 0.253613i | ||||
\(279\) | 0.226488 | − | 1.57526i | 0.0135595 | − | 0.0943081i | ||||
\(280\) | 0.759635 | − | 1.66337i | 0.0453969 | − | 0.0994053i | ||||
\(281\) | −19.7234 | + | 5.79132i | −1.17660 | + | 0.345481i | −0.810863 | − | 0.585237i | \(-0.801002\pi\) |
−0.365738 | + | 0.930718i | \(0.619183\pi\) | |||||||
\(282\) | 3.45322 | + | 7.56150i | 0.205636 | + | 0.450281i | ||||
\(283\) | −11.0909 | − | 12.7996i | −0.659288 | − | 0.760859i | 0.323372 | − | 0.946272i | \(-0.395183\pi\) |
−0.982661 | + | 0.185412i | \(0.940638\pi\) | |||||||
\(284\) | 1.04149 | + | 7.24372i | 0.0618011 | + | 0.429836i | ||||
\(285\) | −5.53760 | − | 1.62599i | −0.328019 | − | 0.0963151i | ||||
\(286\) | 0.0390862 | − | 0.0451079i | 0.00231122 | − | 0.00266729i | ||||
\(287\) | 0.169117 | + | 0.108685i | 0.00998264 | + | 0.00641546i | ||||
\(288\) | 0.841254 | + | 0.540641i | 0.0495713 | + | 0.0318576i | ||||
\(289\) | −0.929446 | + | 1.07264i | −0.0546733 | + | 0.0630963i | ||||
\(290\) | −9.10931 | − | 2.67473i | −0.534917 | − | 0.157066i | ||||
\(291\) | 2.44305 | + | 16.9918i | 0.143214 | + | 0.996075i | ||||
\(292\) | −8.64272 | − | 9.97423i | −0.505777 | − | 0.583698i | ||||
\(293\) | 0.856727 | + | 1.87597i | 0.0500505 | + | 0.109595i | 0.933005 | − | 0.359863i | \(-0.117177\pi\) |
−0.882955 | + | 0.469458i | \(0.844449\pi\) | |||||||
\(294\) | 4.61792 | − | 1.35595i | 0.269323 | − | 0.0790803i | ||||
\(295\) | 3.51120 | − | 7.68846i | 0.204430 | − | 0.447639i | ||||
\(296\) | 0.744123 | − | 5.17549i | 0.0432513 | − | 0.300819i | ||||
\(297\) | −0.745983 | + | 0.479414i | −0.0432864 | + | 0.0278184i | ||||
\(298\) | −4.95242 | −0.286886 | ||||||||
\(299\) | 0.164969 | − | 0.277464i | 0.00954043 | − | 0.0160462i | ||||
\(300\) | −3.47112 | −0.200405 | ||||||||
\(301\) | −8.18382 | + | 5.25942i | −0.471707 | + | 0.303148i | ||||
\(302\) | −2.18648 | + | 15.2073i | −0.125818 | + | 0.875080i | ||||
\(303\) | 2.48714 | − | 5.44608i | 0.142882 | − | 0.312869i | ||||
\(304\) | 4.47852 | − | 1.31501i | 0.256861 | − | 0.0754212i | ||||
\(305\) | 2.36287 | + | 5.17397i | 0.135298 | + | 0.296261i | ||||
\(306\) | 2.81051 | + | 3.24350i | 0.160666 | + | 0.185419i | ||||
\(307\) | 0.581067 | + | 4.04141i | 0.0331633 | + | 0.230656i | 0.999661 | − | 0.0260178i | \(-0.00828265\pi\) |
−0.966498 | + | 0.256673i | \(0.917374\pi\) | |||||||
\(308\) | −1.25829 | − | 0.369467i | −0.0716977 | − | 0.0210523i | ||||
\(309\) | 10.2430 | − | 11.8211i | 0.582705 | − | 0.672477i | ||||
\(310\) | 1.65542 | + | 1.06387i | 0.0940214 | + | 0.0604239i | ||||
\(311\) | −10.7254 | − | 6.89278i | −0.608180 | − | 0.390854i | 0.199994 | − | 0.979797i | \(-0.435908\pi\) |
−0.808174 | + | 0.588944i | \(0.799544\pi\) | |||||||
\(312\) | −0.0440780 | + | 0.0508687i | −0.00249542 | + | 0.00287987i | ||||
\(313\) | 7.46705 | + | 2.19252i | 0.422062 | + | 0.123929i | 0.485865 | − | 0.874034i | \(-0.338505\pi\) |
−0.0638026 | + | 0.997963i | \(0.520323\pi\) | |||||||
\(314\) | −1.77997 | − | 12.3799i | −0.100449 | − | 0.698641i | ||||
\(315\) | −1.19749 | − | 1.38198i | −0.0674709 | − | 0.0778656i | ||||
\(316\) | 3.27948 | + | 7.18106i | 0.184485 | + | 0.403966i | ||||
\(317\) | −18.9507 | + | 5.56442i | −1.06438 | + | 0.312529i | −0.766612 | − | 0.642111i | \(-0.778059\pi\) |
−0.297764 | + | 0.954640i | \(0.596241\pi\) | |||||||
\(318\) | −1.24441 | + | 2.72487i | −0.0697829 | + | 0.152803i | ||||
\(319\) | −0.968968 | + | 6.73932i | −0.0542518 | + | 0.377329i | ||||
\(320\) | −1.04019 | + | 0.668491i | −0.0581485 | + | 0.0373698i | ||||
\(321\) | −13.8185 | −0.771275 | ||||||||
\(322\) | −7.05118 | − | 0.764587i | −0.392947 | − | 0.0426088i | ||||
\(323\) | 20.0322 | 1.11462 | ||||||||
\(324\) | 0.841254 | − | 0.540641i | 0.0467363 | − | 0.0300356i | ||||
\(325\) | 0.0332501 | − | 0.231259i | 0.00184438 | − | 0.0128280i | ||||
\(326\) | −4.33279 | + | 9.48749i | −0.239971 | + | 0.525464i | ||||
\(327\) | −10.3496 | + | 3.03892i | −0.572334 | + | 0.168052i | ||||
\(328\) | −0.0564684 | − | 0.123649i | −0.00311795 | − | 0.00682735i | ||||
\(329\) | 8.05059 | + | 9.29088i | 0.443843 | + | 0.512223i | ||||
\(330\) | −0.156041 | − | 1.08529i | −0.00858978 | − | 0.0597433i | ||||
\(331\) | 4.11794 | + | 1.20914i | 0.226342 | + | 0.0664601i | 0.392937 | − | 0.919565i | \(-0.371459\pi\) |
−0.166595 | + | 0.986025i | \(0.553277\pi\) | |||||||
\(332\) | 5.50645 | − | 6.35478i | 0.302206 | − | 0.348764i | ||||
\(333\) | −4.39867 | − | 2.82685i | −0.241046 | − | 0.154911i | ||||
\(334\) | −21.3412 | − | 13.7152i | −1.16774 | − | 0.750461i | ||||
\(335\) | 10.0447 | − | 11.5922i | 0.548800 | − | 0.633349i | ||||
\(336\) | 1.41899 | + | 0.416652i | 0.0774120 | + | 0.0227302i | ||||
\(337\) | −4.12123 | − | 28.6637i | −0.224497 | − | 1.56141i | −0.720725 | − | 0.693221i | \(-0.756191\pi\) |
0.496227 | − | 0.868193i | \(-0.334718\pi\) | |||||||
\(338\) | 8.51022 | + | 9.82132i | 0.462895 | + | 0.534209i | ||||
\(339\) | −1.89858 | − | 4.15731i | −0.103117 | − | 0.225794i | ||||
\(340\) | −5.09173 | + | 1.49507i | −0.276138 | + | 0.0810813i | ||||
\(341\) | 0.586244 | − | 1.28370i | 0.0317469 | − | 0.0695160i | ||||
\(342\) | 0.664268 | − | 4.62008i | 0.0359195 | − | 0.249826i | ||||
\(343\) | 14.6967 | − | 9.44498i | 0.793546 | − | 0.509981i | ||||
\(344\) | 6.57798 | 0.354661 | ||||||||
\(345\) | −1.86754 | − | 5.62819i | −0.100545 | − | 0.303012i | ||||
\(346\) | 17.1947 | 0.924392 | ||||||||
\(347\) | −15.8066 | + | 10.1583i | −0.848542 | + | 0.545325i | −0.891120 | − | 0.453768i | \(-0.850079\pi\) |
0.0425775 | + | 0.999093i | \(0.486443\pi\) | |||||||
\(348\) | 1.09272 | − | 7.60000i | 0.0585757 | − | 0.407403i | ||||
\(349\) | −6.47312 | + | 14.1742i | −0.346498 | + | 0.758726i | 0.653500 | + | 0.756926i | \(0.273300\pi\) |
−0.999998 | + | 0.00179906i | \(0.999427\pi\) | |||||||
\(350\) | −4.92547 | + | 1.44625i | −0.263277 | + | 0.0773052i | ||||
\(351\) | 0.0279611 | + | 0.0612263i | 0.00149245 | + | 0.00326802i | ||||
\(352\) | 0.580699 | + | 0.670163i | 0.0309514 | + | 0.0357198i | ||||
\(353\) | 3.30751 | + | 23.0043i | 0.176041 | + | 1.22439i | 0.865813 | + | 0.500367i | \(0.166802\pi\) |
−0.689772 | + | 0.724026i | \(0.742289\pi\) | |||||||
\(354\) | 6.55886 | + | 1.92586i | 0.348600 | + | 0.102358i | ||||
\(355\) | −5.92571 | + | 6.83864i | −0.314504 | + | 0.362957i | ||||
\(356\) | 9.86241 | + | 6.33818i | 0.522706 | + | 0.335923i | ||||
\(357\) | 5.33949 | + | 3.43148i | 0.282596 | + | 0.181613i | ||||
\(358\) | 3.99989 | − | 4.61612i | 0.211401 | − | 0.243969i | ||||
\(359\) | −13.8642 | − | 4.07088i | −0.731722 | − | 0.214853i | −0.105414 | − | 0.994428i | \(-0.533617\pi\) |
−0.626308 | + | 0.779575i | \(0.715435\pi\) | |||||||
\(360\) | 0.175969 | + | 1.22389i | 0.00927440 | + | 0.0645048i | ||||
\(361\) | −1.82472 | − | 2.10584i | −0.0960381 | − | 0.110834i | ||||
\(362\) | 8.92730 | + | 19.5481i | 0.469209 | + | 1.02742i | ||||
\(363\) | 9.79994 | − | 2.87752i | 0.514364 | − | 0.151031i | ||||
\(364\) | −0.0413515 | + | 0.0905471i | −0.00216741 | + | 0.00474596i | ||||
\(365\) | 2.32241 | − | 16.1527i | 0.121560 | − | 0.845471i | ||||
\(366\) | −3.86989 | + | 2.48703i | −0.202282 | + | 0.129999i | ||||
\(367\) | 26.6056 | 1.38880 | 0.694400 | − | 0.719589i | \(-0.255670\pi\) | ||||
0.694400 | + | 0.719589i | \(0.255670\pi\) | |||||||
\(368\) | 3.73149 | + | 3.01264i | 0.194517 | + | 0.157045i | ||||
\(369\) | −0.135933 | −0.00707636 | ||||||||
\(370\) | 5.43886 | − | 3.49534i | 0.282753 | − | 0.181714i | ||||
\(371\) | −0.630473 | + | 4.38504i | −0.0327326 | + | 0.227660i | ||||
\(372\) | −0.661114 | + | 1.44764i | −0.0342772 | + | 0.0750565i | ||||
\(373\) | 4.68285 | − | 1.37501i | 0.242469 | − | 0.0711952i | −0.158240 | − | 0.987401i | \(-0.550582\pi\) |
0.400709 | + | 0.916205i | \(0.368764\pi\) | |||||||
\(374\) | 1.58096 | + | 3.46182i | 0.0817495 | + | 0.179007i | ||||
\(375\) | −6.85925 | − | 7.91599i | −0.354210 | − | 0.408780i | ||||
\(376\) | −1.18302 | − | 8.22810i | −0.0610097 | − | 0.424332i | ||||
\(377\) | 0.495874 | + | 0.145602i | 0.0255388 | + | 0.00749887i | ||||
\(378\) | 0.968468 | − | 1.11767i | 0.0498126 | − | 0.0574868i | ||||
\(379\) | 2.86938 | + | 1.84404i | 0.147390 | + | 0.0947219i | 0.612257 | − | 0.790658i | \(-0.290262\pi\) |
−0.464867 | + | 0.885380i | \(0.653898\pi\) | |||||||
\(380\) | 4.85519 | + | 3.12024i | 0.249066 | + | 0.160065i | ||||
\(381\) | 9.43494 | − | 10.8885i | 0.483367 | − | 0.557835i | ||||
\(382\) | 2.71990 | + | 0.798636i | 0.139162 | + | 0.0408618i | ||||
\(383\) | 4.03782 | + | 28.0837i | 0.206323 | + | 1.43501i | 0.785022 | + | 0.619468i | \(0.212652\pi\) |
−0.578699 | + | 0.815541i | \(0.696439\pi\) | |||||||
\(384\) | −0.654861 | − | 0.755750i | −0.0334182 | − | 0.0385667i | ||||
\(385\) | −0.673608 | − | 1.47500i | −0.0343303 | − | 0.0751728i | ||||
\(386\) | 23.1120 | − | 6.78629i | 1.17637 | − | 0.345413i | ||||
\(387\) | 2.73259 | − | 5.98354i | 0.138906 | − | 0.304161i | ||||
\(388\) | 2.44305 | − | 16.9918i | 0.124027 | − | 0.862626i | ||||
\(389\) | −8.96250 | + | 5.75985i | −0.454417 | + | 0.292036i | −0.747757 | − | 0.663972i | \(-0.768869\pi\) |
0.293341 | + | 0.956008i | \(0.405233\pi\) | |||||||
\(390\) | −0.0832260 | −0.00421431 | ||||||||
\(391\) | 11.7233 | + | 16.9177i | 0.592873 | + | 0.855564i | ||||
\(392\) | −4.81288 | −0.243087 | ||||||||
\(393\) | −3.85292 | + | 2.47612i | −0.194354 | + | 0.124904i | ||||
\(394\) | 3.50172 | − | 24.3550i | 0.176414 | − | 1.22699i | ||||
\(395\) | −4.05501 | + | 8.87922i | −0.204029 | + | 0.446762i | ||||
\(396\) | 0.850833 | − | 0.249827i | 0.0427559 | − | 0.0125543i | ||||
\(397\) | 8.68866 | + | 19.0255i | 0.436071 | + | 0.954863i | 0.992303 | + | 0.123836i | \(0.0395196\pi\) |
−0.556231 | + | 0.831028i | \(0.687753\pi\) | |||||||
\(398\) | −4.11111 | − | 4.74447i | −0.206071 | − | 0.237819i | ||||
\(399\) | −0.982380 | − | 6.83260i | −0.0491805 | − | 0.342058i | ||||
\(400\) | 3.33052 | + | 0.977928i | 0.166526 | + | 0.0488964i | ||||
\(401\) | −2.65293 | + | 3.06164i | −0.132481 | + | 0.152891i | −0.818114 | − | 0.575056i | \(-0.804980\pi\) |
0.685633 | + | 0.727948i | \(0.259526\pi\) | |||||||
\(402\) | 10.4358 | + | 6.70671i | 0.520492 | + | 0.334500i | ||||
\(403\) | −0.0901143 | − | 0.0579129i | −0.00448891 | − | 0.00288485i | ||||
\(404\) | −3.92073 | + | 4.52476i | −0.195064 | + | 0.225115i | ||||
\(405\) | 1.18639 | + | 0.348356i | 0.0589523 | + | 0.0173100i | ||||
\(406\) | −1.61601 | − | 11.2396i | −0.0802011 | − | 0.557811i | ||||
\(407\) | −3.03631 | − | 3.50408i | −0.150504 | − | 0.173691i | ||||
\(408\) | −1.78287 | − | 3.90393i | −0.0882650 | − | 0.193273i | ||||
\(409\) | −23.3930 | + | 6.86879i | −1.15671 | + | 0.339640i | −0.803152 | − | 0.595774i | \(-0.796845\pi\) |
−0.353555 | + | 0.935414i | \(0.615027\pi\) | |||||||
\(410\) | 0.0698220 | − | 0.152889i | 0.00344826 | − | 0.00755064i | ||||
\(411\) | 1.31326 | − | 9.13396i | 0.0647786 | − | 0.450545i | ||||
\(412\) | −13.1585 | + | 8.45644i | −0.648272 | + | 0.416619i | ||||
\(413\) | 10.1093 | 0.497448 | ||||||||
\(414\) | 4.29051 | − | 2.14278i | 0.210867 | − | 0.105312i | ||||
\(415\) | 10.3970 | 0.510370 | ||||||||
\(416\) | 0.0566239 | − | 0.0363899i | 0.00277621 | − | 0.00178416i | ||||
\(417\) | −1.11310 | + | 7.74181i | −0.0545090 | + | 0.379118i | ||||
\(418\) | 1.71940 | − | 3.76497i | 0.0840987 | − | 0.184151i | ||||
\(419\) | −13.5462 | + | 3.97753i | −0.661777 | + | 0.194315i | −0.595338 | − | 0.803475i | \(-0.702982\pi\) |
−0.0664387 | + | 0.997791i | \(0.521164\pi\) | |||||||
\(420\) | 0.759635 | + | 1.66337i | 0.0370664 | + | 0.0811641i | ||||
\(421\) | −14.6127 | − | 16.8639i | −0.712179 | − | 0.821898i | 0.278165 | − | 0.960533i | \(-0.410274\pi\) |
−0.990343 | + | 0.138635i | \(0.955728\pi\) | |||||||
\(422\) | −2.75941 | − | 19.1922i | −0.134326 | − | 0.934259i | ||||
\(423\) | −7.97598 | − | 2.34196i | −0.387806 | − | 0.113870i | ||||
\(424\) | 1.96169 | − | 2.26391i | 0.0952679 | − | 0.109945i | ||||
\(425\) | 12.5324 | + | 8.05406i | 0.607909 | + | 0.390679i | ||||
\(426\) | −6.15647 | − | 3.95652i | −0.298282 | − | 0.191694i | ||||
\(427\) | −4.45509 | + | 5.14145i | −0.215597 | + | 0.248812i | ||||
\(428\) | 13.2588 | + | 3.89313i | 0.640887 | + | 0.188182i | ||||
\(429\) | 0.00849425 | + | 0.0590788i | 0.000410106 | + | 0.00285235i | ||||
\(430\) | 5.32633 | + | 6.14692i | 0.256859 | + | 0.296431i | ||||
\(431\) | −7.48448 | − | 16.3887i | −0.360515 | − | 0.789417i | −0.999791 | − | 0.0204400i | \(-0.993493\pi\) |
0.639276 | − | 0.768977i | \(-0.279234\pi\) | |||||||
\(432\) | −0.959493 | + | 0.281733i | −0.0461636 | + | 0.0135549i | ||||
\(433\) | 8.60579 | − | 18.8441i | 0.413568 | − | 0.905588i | −0.582144 | − | 0.813085i | \(-0.697786\pi\) |
0.995712 | − | 0.0925023i | \(-0.0294865\pi\) | |||||||
\(434\) | −0.334950 | + | 2.32963i | −0.0160781 | + | 0.111826i | ||||
\(435\) | 7.98676 | − | 5.13278i | 0.382936 | − | 0.246098i | ||||
\(436\) | 10.7865 | 0.516581 | ||||||||
\(437\) | 5.55574 | − | 21.6846i | 0.265767 | − | 1.03731i | ||||
\(438\) | 13.1978 | 0.630615 | ||||||||
\(439\) | −11.4339 | + | 7.34811i | −0.545709 | + | 0.350706i | −0.784268 | − | 0.620422i | \(-0.786961\pi\) |
0.238559 | + | 0.971128i | \(0.423325\pi\) | |||||||
\(440\) | −0.156041 | + | 1.08529i | −0.00743897 | + | 0.0517392i | ||||
\(441\) | −1.99934 | + | 4.37795i | −0.0952068 | + | 0.208474i | ||||
\(442\) | 0.277173 | − | 0.0813853i | 0.0131838 | − | 0.00387111i | ||||
\(443\) | 4.32136 | + | 9.46245i | 0.205314 | + | 0.449575i | 0.984077 | − | 0.177744i | \(-0.0568798\pi\) |
−0.778763 | + | 0.627318i | \(0.784153\pi\) | |||||||
\(444\) | 3.42408 | + | 3.95159i | 0.162499 | + | 0.187534i | ||||
\(445\) | 2.06297 | + | 14.3483i | 0.0977941 | + | 0.680173i | ||||
\(446\) | −19.7401 | − | 5.79623i | −0.934723 | − | 0.274459i | ||||
\(447\) | 3.24314 | − | 3.74279i | 0.153395 | − | 0.177028i | ||||
\(448\) | −1.24412 | − | 0.799549i | −0.0587793 | − | 0.0377751i | ||||
\(449\) | 9.02816 | + | 5.80205i | 0.426065 | + | 0.273816i | 0.736052 | − | 0.676925i | \(-0.236688\pi\) |
−0.309986 | + | 0.950741i | \(0.600324\pi\) | |||||||
\(450\) | 2.27310 | − | 2.62330i | 0.107155 | − | 0.123663i | ||||
\(451\) | −0.115656 | − | 0.0339596i | −0.00544602 | − | 0.00159910i | ||||
\(452\) | 0.650424 | + | 4.52380i | 0.0305934 | + | 0.212782i | ||||
\(453\) | −10.0611 | − | 11.6111i | −0.472709 | − | 0.545536i | ||||
\(454\) | −9.56420 | − | 20.9427i | −0.448870 | − | 0.982888i | ||||
\(455\) | −0.118097 | + | 0.0346763i | −0.00553645 | + | 0.00162565i | ||||
\(456\) | −1.93899 | + | 4.24579i | −0.0908015 | + | 0.198827i | ||||
\(457\) | −0.120293 | + | 0.836659i | −0.00562709 | + | 0.0391373i | −0.992442 | − | 0.122718i | \(-0.960839\pi\) |
0.986814 | + | 0.161856i | \(0.0517479\pi\) | |||||||
\(458\) | 6.31249 | − | 4.05679i | 0.294963 | − | 0.189561i | ||||
\(459\) | −4.29177 | −0.200323 | ||||||||
\(460\) | 0.206248 | + | 5.92636i | 0.00961635 | + | 0.276318i | ||||
\(461\) | −17.2385 | −0.802875 | −0.401437 | − | 0.915886i | \(-0.631489\pi\) | ||||
−0.401437 | + | 0.915886i | \(0.631489\pi\) | |||||||
\(462\) | 1.10323 | − | 0.709002i | 0.0513268 | − | 0.0329858i | ||||
\(463\) | 0.257950 | − | 1.79408i | 0.0119879 | − | 0.0833780i | −0.982949 | − | 0.183878i | \(-0.941135\pi\) |
0.994937 | + | 0.100500i | \(0.0320441\pi\) | |||||||
\(464\) | −3.18962 | + | 6.98430i | −0.148074 | + | 0.324238i | ||||
\(465\) | −1.88809 | + | 0.554393i | −0.0875581 | + | 0.0257094i | ||||
\(466\) | 10.1229 | + | 22.1661i | 0.468936 | + | 1.02683i | ||||
\(467\) | 21.4942 | + | 24.8056i | 0.994632 | + | 1.14787i | 0.989005 | + | 0.147882i | \(0.0472455\pi\) |
0.00562656 | + | 0.999984i | \(0.498209\pi\) | |||||||
\(468\) | −0.00957906 | − | 0.0666238i | −0.000442792 | − | 0.00307969i | ||||
\(469\) | 17.6027 | + | 5.16861i | 0.812816 | + | 0.238664i | ||||
\(470\) | 6.73098 | − | 7.76796i | 0.310477 | − | 0.358309i | ||||
\(471\) | 10.5218 | + | 6.76193i | 0.484818 | + | 0.311573i | ||||
\(472\) | −5.75061 | − | 3.69569i | −0.264693 | − | 0.170108i | ||||
\(473\) | 3.81983 | − | 4.40832i | 0.175636 | − | 0.202695i | ||||
\(474\) | −7.57468 | − | 2.22413i | −0.347917 | − | 0.102158i | ||||
\(475\) | −2.30575 | − | 16.0369i | −0.105795 | − | 0.735822i | ||||
\(476\) | −4.15644 | − | 4.79679i | −0.190510 | − | 0.219861i | ||||
\(477\) | −1.24441 | − | 2.72487i | −0.0569775 | − | 0.124763i | ||||
\(478\) | −8.34418 | + | 2.45007i | −0.381654 | + | 0.112064i | ||||
\(479\) | −8.40139 | + | 18.3965i | −0.383869 | + | 0.840556i | 0.614785 | + | 0.788695i | \(0.289243\pi\) |
−0.998654 | + | 0.0518616i | \(0.983485\pi\) | |||||||
\(480\) | 0.175969 | − | 1.22389i | 0.00803186 | − | 0.0558628i | ||||
\(481\) | −0.296070 | + | 0.190272i | −0.0134996 | + | 0.00867567i | ||||
\(482\) | −5.67714 | −0.258587 | ||||||||
\(483\) | 5.19538 | − | 4.82823i | 0.236398 | − | 0.219692i | ||||
\(484\) | −10.2137 | −0.464258 | ||||||||
\(485\) | 17.8564 | − | 11.4756i | 0.810820 | − | 0.521082i | ||||
\(486\) | −0.142315 | + | 0.989821i | −0.00645553 | + | 0.0448992i | ||||
\(487\) | −16.4337 | + | 35.9848i | −0.744683 | + | 1.63063i | 0.0310108 | + | 0.999519i | \(0.490127\pi\) |
−0.775694 | + | 0.631109i | \(0.782600\pi\) | |||||||
\(488\) | 4.41381 | − | 1.29601i | 0.199804 | − | 0.0586676i | ||||
\(489\) | −4.33279 | − | 9.48749i | −0.195936 | − | 0.429039i | ||||
\(490\) | −3.89709 | − | 4.49748i | −0.176053 | − | 0.203176i | ||||
\(491\) | −3.46222 | − | 24.0803i | −0.156248 | − | 1.08673i | −0.905471 | − | 0.424409i | \(-0.860482\pi\) |
0.749223 | − | 0.662318i | \(-0.230427\pi\) | |||||||
\(492\) | 0.130426 | + | 0.0382966i | 0.00588007 | + | 0.00172654i | ||||
\(493\) | −21.5796 | + | 24.9041i | −0.971894 | + | 1.12163i | ||||
\(494\) | −0.264297 | − | 0.169853i | −0.0118913 | − | 0.00764207i | ||||
\(495\) | 0.922393 | + | 0.592786i | 0.0414585 | + | 0.0266437i | ||||
\(496\) | 1.04218 | − | 1.20274i | 0.0467953 | − | 0.0540047i | ||||
\(497\) | −10.3844 | − | 3.04915i | −0.465806 | − | 0.136773i | ||||
\(498\) | 1.19667 | + | 8.32299i | 0.0536239 | + | 0.372962i | ||||
\(499\) | 10.3963 | + | 11.9980i | 0.465402 | + | 0.537103i | 0.939127 | − | 0.343570i | \(-0.111636\pi\) |
−0.473725 | + | 0.880673i | \(0.657091\pi\) | |||||||
\(500\) | 4.35121 | + | 9.52781i | 0.194592 | + | 0.426097i | ||||
\(501\) | 24.3408 | − | 7.14710i | 1.08747 | − | 0.319309i | ||||
\(502\) | 2.48589 | − | 5.44334i | 0.110951 | − | 0.242948i | ||||
\(503\) | −0.931282 | + | 6.47721i | −0.0415238 | + | 0.288804i | 0.958470 | + | 0.285194i | \(0.0920582\pi\) |
−0.999993 | + | 0.00360998i | \(0.998851\pi\) | |||||||
\(504\) | −1.24412 | + | 0.799549i | −0.0554176 | + | 0.0356147i | ||||
\(505\) | −7.40295 | −0.329427 | ||||||||
\(506\) | 4.18583 | − | 0.751265i | 0.186083 | − | 0.0333978i | ||||
\(507\) | −12.9955 | −0.577149 | ||||||||
\(508\) | −12.1204 | + | 7.78931i | −0.537756 | + | 0.345595i | ||||
\(509\) | 2.54211 | − | 17.6808i | 0.112677 | − | 0.783686i | −0.852620 | − | 0.522532i | \(-0.824988\pi\) |
0.965297 | − | 0.261155i | \(-0.0841033\pi\) | |||||||
\(510\) | 2.20448 | − | 4.82713i | 0.0976159 | − | 0.213749i | ||||
\(511\) | 18.7275 | − | 5.49889i | 0.828456 | − | 0.243256i | ||||
\(512\) | 0.415415 | + | 0.909632i | 0.0183589 | + | 0.0402004i | ||||
\(513\) | 3.05662 | + | 3.52753i | 0.134953 | + | 0.155744i | ||||
\(514\) | −2.21417 | − | 15.3999i | −0.0976628 | − | 0.679259i | ||||
\(515\) | −18.5570 | − | 5.44882i | −0.817718 | − | 0.240104i | ||||
\(516\) | −4.30766 | + | 4.97131i | −0.189634 | + | 0.218850i | ||||
\(517\) | −6.20114 | − | 3.98523i | −0.272726 | − | 0.175270i | ||||
\(518\) | 6.50515 | + | 4.18061i | 0.285820 | + | 0.183685i | ||||
\(519\) | −11.2601 | + | 12.9949i | −0.494265 | + | 0.570412i | ||||
\(520\) | 0.0798548 | + | 0.0234475i | 0.00350186 | + | 0.00102824i | ||||
\(521\) | −1.68411 | − | 11.7133i | −0.0737824 | − | 0.513168i | −0.992878 | − | 0.119134i | \(-0.961988\pi\) |
0.919096 | − | 0.394034i | \(-0.128921\pi\) | |||||||
\(522\) | 5.02812 | + | 5.80276i | 0.220075 | + | 0.253980i | ||||
\(523\) | −6.65182 | − | 14.5655i | −0.290864 | − | 0.636903i | 0.706635 | − | 0.707578i | \(-0.250212\pi\) |
−0.997499 | + | 0.0706745i | \(0.977485\pi\) | |||||||
\(524\) | 4.39446 | − | 1.29033i | 0.191973 | − | 0.0563683i | ||||
\(525\) | 2.13250 | − | 4.66951i | 0.0930697 | − | 0.203794i | ||||
\(526\) | −1.46110 | + | 10.1622i | −0.0637069 | + | 0.443091i | ||||
\(527\) | 5.74589 | − | 3.69266i | 0.250295 | − | 0.160855i | ||||
\(528\) | −0.886752 | −0.0385909 | ||||||||
\(529\) | 21.5645 | − | 7.99835i | 0.937586 | − | 0.347754i | ||||
\(530\) | 3.70397 | 0.160890 | ||||||||
\(531\) | −5.75061 | + | 3.69569i | −0.249555 | + | 0.160379i | ||||
\(532\) | −0.982380 | + | 6.83260i | −0.0425916 | + | 0.296231i | ||||
\(533\) | −0.00380083 | + | 0.00832265i | −0.000164632 | + | 0.000360494i | ||||
\(534\) | −11.2486 | + | 3.30288i | −0.486774 | + | 0.142930i | ||||
\(535\) | 7.09791 | + | 15.5423i | 0.306870 | + | 0.671951i | ||||
\(536\) | −8.12362 | − | 9.37515i | −0.350887 | − | 0.404945i | ||||
\(537\) | 0.869259 | + | 6.04583i | 0.0375113 | + | 0.260897i | ||||
\(538\) | 3.11177 | + | 0.913697i | 0.134158 | + | 0.0393923i | ||||
\(539\) | −2.79484 | + | 3.22541i | −0.120382 | + | 0.138928i | ||||
\(540\) | −1.04019 | − | 0.668491i | −0.0447627 | − | 0.0287673i | ||||
\(541\) | −16.4485 | − | 10.5708i | −0.707176 | − | 0.454474i | 0.136979 | − | 0.990574i | \(-0.456261\pi\) |
−0.844155 | + | 0.536100i | \(0.819897\pi\) | |||||||
\(542\) | −10.1545 | + | 11.7189i | −0.436173 | + | 0.503371i | ||||
\(543\) | −20.6196 | − | 6.05445i | −0.884871 | − | 0.259822i | ||||
\(544\) | 0.610783 | + | 4.24809i | 0.0261871 | + | 0.182135i | ||||
\(545\) | 8.73408 | + | 10.0797i | 0.374127 | + | 0.431766i | ||||
\(546\) | −0.0413515 | − | 0.0905471i | −0.00176968 | − | 0.00387506i | ||||
\(547\) | 1.08922 | − | 0.319825i | 0.0465718 | − | 0.0136747i | −0.258364 | − | 0.966048i | \(-0.583183\pi\) |
0.304936 | + | 0.952373i | \(0.401365\pi\) | |||||||
\(548\) | −3.83340 | + | 8.39398i | −0.163755 | + | 0.358573i | ||||
\(549\) | 0.654669 | − | 4.55332i | 0.0279406 | − | 0.194331i | ||||
\(550\) | 2.58940 | − | 1.66411i | 0.110412 | − | 0.0709577i | ||||
\(551\) | 35.8385 | 1.52677 | ||||||||
\(552\) | −4.72041 | + | 0.847210i | −0.200914 | + | 0.0360596i | ||||
\(553\) | −11.6751 | −0.496474 | ||||||||
\(554\) | 1.81974 | − | 1.16948i | 0.0773134 | − | 0.0496863i | ||||
\(555\) | −0.920092 | + | 6.39938i | −0.0390557 | + | 0.271639i | ||||
\(556\) | 3.24914 | − | 7.11462i | 0.137794 | − | 0.301727i | ||||
\(557\) | −39.5797 | + | 11.6216i | −1.67704 | + | 0.492425i | −0.975463 | − | 0.220165i | \(-0.929340\pi\) |
−0.701581 | + | 0.712589i | \(0.747522\pi\) | |||||||
\(558\) | −0.661114 | − | 1.44764i | −0.0279872 | − | 0.0612834i | ||||
\(559\) | −0.289944 | − | 0.334613i | −0.0122633 | − | 0.0141526i | ||||
\(560\) | −0.260239 | − | 1.81001i | −0.0109971 | − | 0.0764867i | ||||
\(561\) | −3.65158 | − | 1.07220i | −0.154170 | − | 0.0452683i | ||||
\(562\) | −13.4614 | + | 15.5353i | −0.567834 | + | 0.655315i | ||||
\(563\) | −23.7576 | − | 15.2681i | −1.00126 | − | 0.643472i | −0.0661443 | − | 0.997810i | \(-0.521070\pi\) |
−0.935117 | + | 0.354338i | \(0.884706\pi\) | |||||||
\(564\) | 6.99309 | + | 4.49419i | 0.294462 | + | 0.189239i | ||||
\(565\) | −3.70069 | + | 4.27082i | −0.155689 | + | 0.179675i | ||||
\(566\) | −16.2503 | − | 4.77152i | −0.683051 | − | 0.200562i | ||||
\(567\) | 0.210468 | + | 1.46384i | 0.00883883 | + | 0.0614754i | ||||
\(568\) | 4.79241 | + | 5.53073i | 0.201085 | + | 0.232064i | ||||
\(569\) | −17.2528 | − | 37.7784i | −0.723276 | − | 1.58375i | −0.809255 | − | 0.587457i | \(-0.800129\pi\) |
0.0859792 | − | 0.996297i | \(-0.472598\pi\) | |||||||
\(570\) | −5.53760 | + | 1.62599i | −0.231945 | + | 0.0681051i | ||||
\(571\) | −13.0934 | + | 28.6706i | −0.547943 | + | 1.19983i | 0.409793 | + | 0.912178i | \(0.365601\pi\) |
−0.957736 | + | 0.287649i | \(0.907126\pi\) | |||||||
\(572\) | 0.00849425 | − | 0.0590788i | 0.000355162 | − | 0.00247021i | ||||
\(573\) | −2.38473 | + | 1.53257i | −0.0996234 | + | 0.0640241i | ||||
\(574\) | 0.201029 | 0.00839081 | ||||||||
\(575\) | 12.1941 | − | 11.3324i | 0.508530 | − | 0.472593i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | 17.3206 | − | 11.1313i | 0.721065 | − | 0.463400i | −0.127942 | − | 0.991782i | \(-0.540837\pi\) |
0.849007 | + | 0.528381i | \(0.177201\pi\) | |||||||
\(578\) | −0.201988 | + | 1.40486i | −0.00840159 | + | 0.0584343i | ||||
\(579\) | −10.0064 | + | 21.9110i | −0.415852 | + | 0.910588i | ||||
\(580\) | −9.10931 | + | 2.67473i | −0.378243 | + | 0.111062i | ||||
\(581\) | 5.16584 | + | 11.3116i | 0.214315 | + | 0.469285i | ||||
\(582\) | 11.2417 | + | 12.9736i | 0.465982 | + | 0.537772i | ||||
\(583\) | −0.378036 | − | 2.62930i | −0.0156566 | − | 0.108894i | ||||
\(584\) | −12.6632 | − | 3.71825i | −0.524007 | − | 0.153862i | ||||
\(585\) | 0.0545015 | − | 0.0628980i | 0.00225336 | − | 0.00260051i | ||||
\(586\) | 1.73495 | + | 1.11498i | 0.0716701 | + | 0.0460596i | ||||
\(587\) | 7.15977 | + | 4.60131i | 0.295515 | + | 0.189916i | 0.679994 | − | 0.733218i | \(-0.261982\pi\) |
−0.384479 | + | 0.923134i | \(0.625619\pi\) | |||||||
\(588\) | 3.15177 | − | 3.63733i | 0.129977 | − | 0.150001i | ||||
\(589\) | −7.12736 | − | 2.09278i | −0.293678 | − | 0.0862316i | ||||
\(590\) | −1.20288 | − | 8.36624i | −0.0495219 | − | 0.344433i | ||||
\(591\) | 16.1131 | + | 18.5955i | 0.662806 | + | 0.764918i | ||||
\(592\) | −2.17208 | − | 4.75620i | −0.0892721 | − | 0.195479i | ||||
\(593\) | 9.09061 | − | 2.66924i | 0.373306 | − | 0.109613i | −0.0896971 | − | 0.995969i | \(-0.528590\pi\) |
0.463004 | + | 0.886356i | \(0.346772\pi\) | |||||||
\(594\) | −0.368370 | + | 0.806618i | −0.0151144 | + | 0.0330959i | ||||
\(595\) | 1.11689 | − | 7.76813i | 0.0457880 | − | 0.318462i | ||||
\(596\) | −4.16624 | + | 2.67748i | −0.170656 | + | 0.109674i | ||||
\(597\) | 6.27783 | 0.256935 | ||||||||
\(598\) | −0.0112273 | − | 0.322607i | −0.000459118 | − | 0.0131924i | ||||
\(599\) | −2.52422 | −0.103137 | −0.0515684 | − | 0.998669i | \(-0.516422\pi\) | ||||
−0.0515684 | + | 0.998669i | \(0.516422\pi\) | |||||||
\(600\) | −2.92009 | + | 1.87663i | −0.119212 | + | 0.0766131i | ||||
\(601\) | 2.68152 | − | 18.6504i | 0.109381 | − | 0.760765i | −0.859123 | − | 0.511769i | \(-0.828990\pi\) |
0.968505 | − | 0.248996i | \(-0.0801006\pi\) | |||||||
\(602\) | −4.04121 | + | 8.84901i | −0.164707 | + | 0.360659i | ||||
\(603\) | −11.9026 | + | 3.49492i | −0.484712 | + | 0.142324i | ||||
\(604\) | 6.38229 | + | 13.9753i | 0.259692 | + | 0.568646i | ||||
\(605\) | −8.27023 | − | 9.54435i | −0.336233 | − | 0.388033i | ||||
\(606\) | −0.852056 | − | 5.92618i | −0.0346124 | − | 0.240735i | ||||
\(607\) | −3.12161 | − | 0.916586i | −0.126702 | − | 0.0372031i | 0.217767 | − | 0.976001i | \(-0.430123\pi\) |
−0.344469 | + | 0.938798i | \(0.611941\pi\) | |||||||
\(608\) | 3.05662 | − | 3.52753i | 0.123962 | − | 0.143060i | ||||
\(609\) | 9.55257 | + | 6.13906i | 0.387090 | + | 0.248767i | ||||
\(610\) | 4.78504 | + | 3.07516i | 0.193740 | + | 0.124509i | ||||
\(611\) | −0.366407 | + | 0.422856i | −0.0148232 | + | 0.0171069i | ||||
\(612\) | 4.11792 | + | 1.20913i | 0.166457 | + | 0.0488763i | ||||
\(613\) | −2.29523 | − | 15.9637i | −0.0927036 | − | 0.644767i | −0.982202 | − | 0.187829i | \(-0.939855\pi\) |
0.889498 | − | 0.456939i | \(-0.151054\pi\) | |||||||
\(614\) | 2.67378 | + | 3.08570i | 0.107905 | + | 0.124529i | ||||
\(615\) | 0.0698220 | + | 0.152889i | 0.00281549 | + | 0.00616507i | ||||
\(616\) | −1.25829 | + | 0.369467i | −0.0506979 | + | 0.0148862i | ||||
\(617\) | 0.963458 | − | 2.10968i | 0.0387874 | − | 0.0849325i | −0.889247 | − | 0.457428i | \(-0.848771\pi\) |
0.928034 | + | 0.372496i | \(0.121498\pi\) | |||||||
\(618\) | 2.22602 | − | 15.4823i | 0.0895436 | − | 0.622790i | ||||
\(619\) | 27.7569 | − | 17.8383i | 1.11565 | − | 0.716982i | 0.153130 | − | 0.988206i | \(-0.451065\pi\) |
0.962516 | + | 0.271224i | \(0.0874285\pi\) | |||||||
\(620\) | 1.96780 | 0.0790287 | ||||||||
\(621\) | −1.19028 | + | 4.64578i | −0.0477642 | + | 0.186429i | ||||
\(622\) | −12.7493 | −0.511199 | ||||||||
\(623\) | −14.5854 | + | 9.37349i | −0.584353 | + | 0.375541i | ||||
\(624\) | −0.00957906 | + | 0.0666238i | −0.000383469 | + | 0.00266709i | ||||
\(625\) | 1.82960 | − | 4.00627i | 0.0731841 | − | 0.160251i | ||||
\(626\) | 7.46705 | − | 2.19252i | 0.298443 | − | 0.0876308i | ||||
\(627\) | 1.71940 | + | 3.76497i | 0.0686663 | + | 0.150358i | ||||
\(628\) | −8.19051 | − | 9.45235i | −0.326837 | − | 0.377190i | ||||
\(629\) | −3.19360 | − | 22.2120i | −0.127337 | − | 0.885651i | ||||
\(630\) | −1.75455 | − | 0.515181i | −0.0699028 | − | 0.0205253i | ||||
\(631\) | 19.9373 | − | 23.0089i | 0.793693 | − | 0.915971i | −0.204325 | − | 0.978903i | \(-0.565500\pi\) |
0.998018 | + | 0.0629326i | \(0.0200453\pi\) | |||||||
\(632\) | 6.64125 | + | 4.26807i | 0.264175 | + | 0.169775i | ||||
\(633\) | 16.3115 | + | 10.4828i | 0.648324 | + | 0.416652i | ||||
\(634\) | −12.9340 | + | 14.9266i | −0.513674 | + | 0.592811i | ||||
\(635\) | −17.0930 | − | 5.01896i | −0.678316 | − | 0.199171i | ||||
\(636\) | 0.426315 | + | 2.96509i | 0.0169045 | + | 0.117573i | ||||
\(637\) | 0.212142 | + | 0.244825i | 0.00840537 | + | 0.00970031i | ||||
\(638\) | 2.82840 | + | 6.19334i | 0.111978 | + | 0.245197i | ||||
\(639\) | 7.02177 | − | 2.06178i | 0.277777 | − | 0.0815627i | ||||
\(640\) | −0.513652 | + | 1.12474i | −0.0203039 | + | 0.0444593i | ||||
\(641\) | 6.36692 | − | 44.2829i | 0.251478 | − | 1.74907i | −0.337871 | − | 0.941192i | \(-0.609707\pi\) |
0.589349 | − | 0.807878i | \(-0.299384\pi\) | |||||||
\(642\) | −11.6249 | + | 7.47086i | −0.458798 | + | 0.294851i | ||||
\(643\) | 26.8514 | 1.05892 | 0.529459 | − | 0.848336i | \(-0.322395\pi\) | ||||
0.529459 | + | 0.848336i | \(0.322395\pi\) | |||||||
\(644\) | −6.34520 | + | 3.16894i | −0.250036 | + | 0.124874i | ||||
\(645\) | −8.13354 | −0.320258 | ||||||||
\(646\) | 16.8522 | − | 10.8302i | 0.663041 | − | 0.426110i | ||||
\(647\) | 3.26100 | − | 22.6807i | 0.128203 | − | 0.891672i | −0.819627 | − | 0.572897i | \(-0.805820\pi\) |
0.947831 | − | 0.318775i | \(-0.103271\pi\) | |||||||
\(648\) | 0.415415 | − | 0.909632i | 0.0163190 | − | 0.0357337i | ||||
\(649\) | −5.81609 | + | 1.70776i | −0.228301 | + | 0.0670353i | ||||
\(650\) | −0.0970564 | − | 0.212524i | −0.00380687 | − | 0.00833588i | ||||
\(651\) | −1.54127 | − | 1.77872i | −0.0604072 | − | 0.0697136i | ||||
\(652\) | 1.48435 | + | 10.3239i | 0.0581316 | + | 0.404314i | ||||
\(653\) | 44.1721 | + | 12.9701i | 1.72859 | + | 0.507559i | 0.986643 | − | 0.162900i | \(-0.0520849\pi\) |
0.741946 | + | 0.670460i | \(0.233903\pi\) | |||||||
\(654\) | −7.06367 | + | 8.15191i | −0.276212 | + | 0.318765i | ||||
\(655\) | 4.76406 | + | 3.06167i | 0.186147 | + | 0.119629i | ||||
\(656\) | −0.114354 | − | 0.0734907i | −0.00446476 | − | 0.00286933i | ||||
\(657\) | −8.64272 | + | 9.97423i | −0.337185 | + | 0.389132i | ||||
\(658\) | 11.7956 | + | 3.46350i | 0.459841 | + | 0.135021i | ||||
\(659\) | 3.93338 | + | 27.3572i | 0.153223 | + | 1.06569i | 0.910772 | + | 0.412909i | \(0.135487\pi\) |
−0.757550 | + | 0.652777i | \(0.773604\pi\) | |||||||
\(660\) | −0.718022 | − | 0.828642i | −0.0279490 | − | 0.0322548i | ||||
\(661\) | 2.19760 | + | 4.81208i | 0.0854769 | + | 0.187168i | 0.947544 | − | 0.319627i | \(-0.103557\pi\) |
−0.862067 | + | 0.506795i | \(0.830830\pi\) | |||||||
\(662\) | 4.11794 | − | 1.20914i | 0.160048 | − | 0.0469944i | ||||
\(663\) | −0.120003 | + | 0.262769i | −0.00466052 | + | 0.0102051i | ||||
\(664\) | 1.19667 | − | 8.32299i | 0.0464396 | − | 0.322995i | ||||
\(665\) | −7.18031 | + | 4.61450i | −0.278440 | + | 0.178943i | ||||
\(666\) | −5.22871 | −0.202608 | ||||||||
\(667\) | 20.9735 | + | 30.2664i | 0.812096 | + | 1.17192i | ||||
\(668\) | −25.3684 | −0.981532 | ||||||||
\(669\) | 17.3075 | − | 11.1229i | 0.669148 | − | 0.430035i | ||||
\(670\) | 2.18292 | − | 15.1825i | 0.0843335 | − | 0.586552i | ||||
\(671\) | 1.69456 | − | 3.71056i | 0.0654176 | − | 0.143245i | ||||
\(672\) | 1.41899 | − | 0.416652i | 0.0547386 | − | 0.0160727i | ||||
\(673\) | −16.8850 | − | 36.9729i | −0.650867 | − | 1.42520i | −0.890793 | − | 0.454410i | \(-0.849850\pi\) |
0.239925 | − | 0.970791i | \(-0.422877\pi\) | |||||||
\(674\) | −18.9638 | − | 21.8854i | −0.730458 | − | 0.842993i | ||||
\(675\) | 0.493992 | + | 3.43579i | 0.0190138 | + | 0.132244i | ||||
\(676\) | 12.4691 | + | 3.66125i | 0.479579 | + | 0.140817i | ||||
\(677\) | 10.1058 | − | 11.6627i | 0.388398 | − | 0.448235i | −0.527555 | − | 0.849521i | \(-0.676891\pi\) |
0.915953 | + | 0.401286i | \(0.131437\pi\) | |||||||
\(678\) | −3.84480 | − | 2.47090i | −0.147659 | − | 0.0948944i | ||||
\(679\) | 21.3572 | + | 13.7255i | 0.819615 | + | 0.526734i | ||||
\(680\) | −3.47514 | + | 4.01052i | −0.133266 | + | 0.153797i | ||||
\(681\) | 22.0906 | + | 6.48640i | 0.846515 | + | 0.248559i | ||||
\(682\) | −0.200838 | − | 1.39686i | −0.00769050 | − | 0.0534886i | ||||
\(683\) | −0.212035 | − | 0.244701i | −0.00811329 | − | 0.00936324i | 0.751678 | − | 0.659530i | \(-0.229245\pi\) |
−0.759792 | + | 0.650167i | \(0.774699\pi\) | |||||||
\(684\) | −1.93899 | − | 4.24579i | −0.0741391 | − | 0.162342i | ||||
\(685\) | −10.9479 | + | 3.21459i | −0.418298 | + | 0.122823i | ||||
\(686\) | 7.25729 | − | 15.8912i | 0.277084 | − | 0.606730i | ||||
\(687\) | −1.06788 | + | 7.42730i | −0.0407423 | + | 0.283369i | ||||
\(688\) | 5.53375 | − | 3.55633i | 0.210972 | − | 0.135584i | ||||
\(689\) | −0.201629 | −0.00768145 | ||||||||
\(690\) | −4.61391 | − | 3.72507i | −0.175648 | − | 0.141811i | ||||
\(691\) | −11.8762 | −0.451791 | −0.225896 | − | 0.974152i | \(-0.572531\pi\) | ||||
−0.225896 | + | 0.974152i | \(0.572531\pi\) | |||||||
\(692\) | 14.4651 | − | 9.29615i | 0.549880 | − | 0.353387i | ||||
\(693\) | −0.186633 | + | 1.29806i | −0.00708961 | + | 0.0493093i | ||||
\(694\) | −7.80537 | + | 17.0914i | −0.296288 | + | 0.648780i | ||||
\(695\) | 9.27928 | − | 2.72464i | 0.351983 | − | 0.103352i | ||||
\(696\) | −3.18962 | − | 6.98430i | −0.120902 | − | 0.264739i | ||||
\(697\) | −0.382040 | − | 0.440898i | −0.0144708 | − | 0.0167002i | ||||
\(698\) | 2.21759 | + | 15.4237i | 0.0839371 | + | 0.583796i | ||||
\(699\) | −23.3811 | − | 6.86532i | −0.884356 | − | 0.259670i | ||||
\(700\) | −3.36167 | + | 3.87957i | −0.127059 | + | 0.146634i | ||||
\(701\) | 24.5131 | + | 15.7536i | 0.925847 | + | 0.595006i | 0.914349 | − | 0.404928i | \(-0.132703\pi\) |
0.0114986 | + | 0.999934i | \(0.496340\pi\) | |||||||
\(702\) | 0.0566239 | + | 0.0363899i | 0.00213713 | + | 0.00137345i | ||||
\(703\) | −15.9822 | + | 18.4444i | −0.602780 | + | 0.695645i | ||||
\(704\) | 0.850833 | + | 0.249827i | 0.0320670 | + | 0.00941571i | ||||
\(705\) | 1.46278 | + | 10.1739i | 0.0550915 | + | 0.383170i | ||||
\(706\) | 15.2195 | + | 17.5642i | 0.572793 | + | 0.661039i | ||||
\(707\) | −3.67821 | − | 8.05415i | −0.138333 | − | 0.302908i | ||||
\(708\) | 6.55886 | − | 1.92586i | 0.246497 | − | 0.0723781i | ||||
\(709\) | −5.53351 | + | 12.1167i | −0.207815 | + | 0.455052i | −0.984625 | − | 0.174684i | \(-0.944110\pi\) |
0.776809 | + | 0.629736i | \(0.216837\pi\) | |||||||
\(710\) | −1.28778 | + | 8.95671i | −0.0483295 | + | 0.336139i | ||||
\(711\) | 6.64125 | − | 4.26807i | 0.249066 | − | 0.160065i | ||||
\(712\) | 11.7235 | 0.439355 | ||||||||
\(713\) | −2.40368 | − | 7.24396i | −0.0900187 | − | 0.271289i | ||||
\(714\) | 6.34706 | 0.237533 | ||||||||
\(715\) | 0.0620853 | − | 0.0398998i | 0.00232186 | − | 0.00149217i | ||||
\(716\) | 0.869259 | − | 6.04583i | 0.0324857 | − | 0.225943i | ||||
\(717\) | 3.61264 | − | 7.91057i | 0.134916 | − | 0.295426i | ||||
\(718\) | −13.8642 | + | 4.07088i | −0.517406 | + | 0.151924i | ||||
\(719\) | 16.9387 | + | 37.0905i | 0.631705 | + | 1.38324i | 0.906692 | + | 0.421793i | \(0.138599\pi\) |
−0.274987 | + | 0.961448i | \(0.588673\pi\) | |||||||
\(720\) | 0.809721 | + | 0.934468i | 0.0301765 | + | 0.0348256i | ||||
\(721\) | −3.29204 | − | 22.8966i | −0.122602 | − | 0.852716i | ||||
\(722\) | −2.67356 | − | 0.785028i | −0.0994996 | − | 0.0292157i | ||||
\(723\) | 3.71774 | − | 4.29050i | 0.138264 | − | 0.159565i | ||||
\(724\) | 18.0786 | + | 11.6184i | 0.671886 | + | 0.431795i | ||||
\(725\) | 22.4209 | + | 14.4091i | 0.832692 | + | 0.535139i | ||||
\(726\) | 6.68853 | − | 7.71898i | 0.248235 | − | 0.286478i | ||||
\(727\) | 31.5364 | + | 9.25993i | 1.16962 | + | 0.343432i | 0.808164 | − | 0.588957i | \(-0.200461\pi\) |
0.361457 | + | 0.932389i | \(0.382279\pi\) | |||||||
\(728\) | 0.0141664 | + | 0.0985294i | 0.000525041 | + | 0.00365174i | ||||
\(729\) | −0.654861 | − | 0.755750i | −0.0242541 | − | 0.0279907i | ||||
\(730\) | −6.77908 | − | 14.8441i | −0.250905 | − | 0.549405i | ||||
\(731\) | 27.0876 | − | 7.95365i | 1.00187 | − | 0.294176i | ||||
\(732\) | −1.91097 | + | 4.18444i | −0.0706315 | + | 0.154661i | ||||
\(733\) | −6.98884 | + | 48.6085i | −0.258139 | + | 1.79539i | 0.287927 | + | 0.957652i | \(0.407034\pi\) |
−0.546066 | + | 0.837742i | \(0.683875\pi\) | |||||||
\(734\) | 22.3820 | − | 14.3841i | 0.826136 | − | 0.530925i | ||||
\(735\) | 5.95102 | 0.219507 | ||||||||
\(736\) | 4.76788 | + | 0.517000i | 0.175747 | + | 0.0190569i | ||||
\(737\) | −11.0003 | −0.405200 | ||||||||
\(738\) | −0.114354 | + | 0.0734907i | −0.00420942 | + | 0.00270523i | ||||
\(739\) | 6.02772 | − | 41.9237i | 0.221733 | − | 1.54219i | −0.509746 | − | 0.860325i | \(-0.670261\pi\) |
0.731480 | − | 0.681863i | \(-0.238830\pi\) | |||||||
\(740\) | 2.68574 | − | 5.88094i | 0.0987296 | − | 0.216188i | ||||
\(741\) | 0.301445 | − | 0.0885121i | 0.0110738 | − | 0.00325157i | ||||
\(742\) | 1.84034 | + | 4.02979i | 0.0675611 | + | 0.147938i | ||||
\(743\) | 1.74263 | + | 2.01110i | 0.0639308 | + | 0.0737800i | 0.786814 | − | 0.617190i | \(-0.211729\pi\) |
−0.722883 | + | 0.690970i | \(0.757184\pi\) | |||||||
\(744\) | 0.226488 | + | 1.57526i | 0.00830344 | + | 0.0577517i | ||||
\(745\) | −5.87551 | − | 1.72521i | −0.215262 | − | 0.0632067i | ||||
\(746\) | 3.19608 | − | 3.68847i | 0.117017 | − | 0.135044i | ||||
\(747\) | −7.07375 | − | 4.54602i | −0.258815 | − | 0.166330i | ||||
\(748\) | 3.20159 | + | 2.05754i | 0.117062 | + | 0.0752310i | ||||
\(749\) | −13.3828 | + | 15.4446i | −0.488997 | + | 0.564333i | ||||
\(750\) | −10.0501 | − | 2.95097i | −0.366977 | − | 0.107754i | ||||
\(751\) | −5.28345 | − | 36.7472i | −0.192796 | − | 1.34093i | −0.824564 | − | 0.565768i | \(-0.808580\pi\) |
0.631768 | − | 0.775157i | \(-0.282329\pi\) | |||||||
\(752\) | −5.44367 | − | 6.28232i | −0.198510 | − | 0.229093i | ||||
\(753\) | 2.48589 | + | 5.44334i | 0.0905909 | + | 0.198366i | ||||
\(754\) | 0.495874 | − | 0.145602i | 0.0180587 | − | 0.00530250i | ||||
\(755\) | −7.89157 | + | 17.2801i | −0.287204 | + | 0.628888i | ||||
\(756\) | 0.210468 | − | 1.46384i | 0.00765465 | − | 0.0532393i | ||||
\(757\) | −19.5572 | + | 12.5686i | −0.710817 | + | 0.456814i | −0.845432 | − | 0.534084i | \(-0.820657\pi\) |
0.134615 | + | 0.990898i | \(0.457020\pi\) | |||||||
\(758\) | 3.41084 | 0.123887 | ||||||||
\(759\) | −2.17337 | + | 3.65541i | −0.0788883 | + | 0.132683i | ||||
\(760\) | 5.77138 | 0.209350 | ||||||||
\(761\) | 14.8440 | − | 9.53963i | 0.538093 | − | 0.345811i | −0.243200 | − | 0.969976i | \(-0.578197\pi\) |
0.781293 | + | 0.624165i | \(0.214561\pi\) | |||||||
\(762\) | 2.05041 | − | 14.2609i | 0.0742785 | − | 0.516618i | ||||
\(763\) | −6.62674 | + | 14.5105i | −0.239904 | + | 0.525317i | ||||
\(764\) | 2.71990 | − | 0.798636i | 0.0984027 | − | 0.0288936i | ||||
\(765\) | 2.20448 | + | 4.82713i | 0.0797030 | + | 0.174525i | ||||
\(766\) | 18.5800 | + | 21.4425i | 0.671324 | + | 0.774749i | ||||
\(767\) | 0.0654801 | + | 0.455424i | 0.00236435 | + | 0.0164444i | ||||
\(768\) | −0.959493 | − | 0.281733i | −0.0346227 | − | 0.0101661i | ||||
\(769\) | −23.9460 | + | 27.6351i | −0.863513 | + | 0.996548i | 0.136469 | + | 0.990644i | \(0.456425\pi\) |
−0.999983 | + | 0.00590334i | \(0.998121\pi\) | |||||||
\(770\) | −1.36412 | − | 0.876666i | −0.0491594 | − | 0.0315928i | ||||
\(771\) | 13.0884 | + | 8.41142i | 0.471368 | + | 0.302930i | ||||
\(772\) | 15.7741 | − | 18.2043i | 0.567722 | − | 0.655186i | ||||
\(773\) | −9.45937 | − | 2.77752i | −0.340230 | − | 0.0999005i | 0.107154 | − | 0.994242i | \(-0.465826\pi\) |
−0.447384 | + | 0.894342i | \(0.647644\pi\) | |||||||
\(774\) | −0.936145 | − | 6.51103i | −0.0336490 | − | 0.234034i | ||||
\(775\) | −3.61753 | − | 4.17486i | −0.129946 | − | 0.149965i | ||||
\(776\) | −7.13122 | − | 15.6152i | −0.255996 | − | 0.560553i | ||||
\(777\) | −7.41946 | + | 2.17855i | −0.266172 | + | 0.0781551i | ||||
\(778\) | −4.42572 | + | 9.69098i | −0.158670 | + | 0.347439i | ||||
\(779\) | −0.0902956 | + | 0.628020i | −0.00323518 | + | 0.0225011i | ||||
\(780\) | −0.0700142 | + | 0.0449954i | −0.00250691 | + | 0.00161109i | ||||
\(781\) | 6.48944 | 0.232210 | ||||||||
\(782\) | 19.0087 | + | 7.89397i | 0.679748 | + | 0.282288i | ||||
\(783\) | −7.67816 | −0.274395 | ||||||||
\(784\) | −4.04885 | + | 2.60204i | −0.144602 | + | 0.0929300i | ||||
\(785\) | 2.20089 | − | 15.3075i | 0.0785532 | − | 0.546350i | ||||
\(786\) | −1.90259 | + | 4.16609i | −0.0678632 | + | 0.148600i | ||||
\(787\) | −37.3444 | + | 10.9653i | −1.33119 | + | 0.390871i | −0.868517 | − | 0.495660i | \(-0.834926\pi\) |
−0.462669 | + | 0.886531i | \(0.653108\pi\) | |||||||
\(788\) | −10.2215 | − | 22.3819i | −0.364125 | − | 0.797322i | ||||
\(789\) | −6.72323 | − | 7.75903i | −0.239353 | − | 0.276229i | ||||
\(790\) | 1.38918 | + | 9.66198i | 0.0494249 | + | 0.343758i | ||||
\(791\) | −6.48522 | − | 1.90423i | −0.230588 | − | 0.0677067i | ||||
\(792\) | 0.580699 | − | 0.670163i | 0.0206342 | − | 0.0238132i | ||||
\(793\) | −0.260478 | − | 0.167399i | −0.00924984 | − | 0.00594451i | ||||
\(794\) | 17.5953 | + | 11.3078i | 0.624435 | + | 0.401300i | ||||
\(795\) | −2.42558 | + | 2.79927i | −0.0860265 | + | 0.0992799i | ||||
\(796\) | −6.02354 | − | 1.76867i | −0.213499 | − | 0.0626888i | ||||
\(797\) | −0.194869 | − | 1.35534i | −0.00690262 | − | 0.0480088i | 0.986079 | − | 0.166277i | \(-0.0531747\pi\) |
−0.992982 | + | 0.118269i | \(0.962266\pi\) | |||||||
\(798\) | −4.52041 | − | 5.21684i | −0.160021 | − | 0.184674i | ||||
\(799\) | −14.8204 | − | 32.4522i | −0.524310 | − | 1.14808i | ||||
\(800\) | 3.33052 | − | 0.977928i | 0.117751 | − | 0.0345750i | ||||
\(801\) | 4.87010 | − | 10.6640i | 0.172077 | − | 0.376795i | ||||
\(802\) | −0.576537 | + | 4.00990i | −0.0203582 | + | 0.141595i | ||||
\(803\) | −9.84534 | + | 6.32722i | −0.347435 | + | 0.223283i | ||||
\(804\) | 12.4051 | 0.437494 | ||||||||
\(805\) | −8.09912 | − | 3.36342i | −0.285457 | − | 0.118545i | ||||
\(806\) | −0.107119 | −0.00377311 | ||||||||
\(807\) | −2.72830 | + | 1.75337i | −0.0960407 | + | 0.0617216i | ||||
\(808\) | −0.852056 | + | 5.92618i | −0.0299752 | + | 0.208482i | ||||
\(809\) | −17.9872 | + | 39.3865i | −0.632397 | + | 1.38476i | 0.273753 | + | 0.961800i | \(0.411735\pi\) |
−0.906150 | + | 0.422956i | \(0.860992\pi\) | |||||||
\(810\) | 1.18639 | − | 0.348356i | 0.0416856 | − | 0.0122400i | ||||
\(811\) | 3.97959 | + | 8.71409i | 0.139742 | + | 0.305993i | 0.966544 | − | 0.256500i | \(-0.0825694\pi\) |
−0.826802 | + | 0.562493i | \(0.809842\pi\) | |||||||
\(812\) | −7.43605 | − | 8.58166i | −0.260954 | − | 0.301157i | ||||
\(813\) | −2.20678 | − | 15.3485i | −0.0773953 | − | 0.538296i | ||||
\(814\) | −4.44875 | − | 1.30627i | −0.155929 | − | 0.0457848i | ||||
\(815\) | −8.44542 | + | 9.74654i | −0.295830 | + | 0.341406i | ||||
\(816\) | −3.61047 | − | 2.32031i | −0.126392 | − | 0.0812270i | ||||
\(817\) | −25.8293 | − | 16.5995i | −0.903653 | − | 0.580743i | ||||
\(818\) | −15.9659 | + | 18.4256i | −0.558233 | + | 0.644235i | ||||
\(819\) | 0.0955104 | + | 0.0280444i | 0.00333740 | + | 0.000979950i | ||||
\(820\) | −0.0239199 | − | 0.166367i | −0.000835321 | − | 0.00580978i | ||||
\(821\) | −15.3589 | − | 17.7252i | −0.536030 | − | 0.618612i | 0.421541 | − | 0.906810i | \(-0.361490\pi\) |
−0.957571 | + | 0.288197i | \(0.906944\pi\) | |||||||
\(822\) | −3.83340 | − | 8.39398i | −0.133705 | − | 0.292774i | ||||
\(823\) | 8.95845 | − | 2.63044i | 0.312272 | − | 0.0916913i | −0.121841 | − | 0.992550i | \(-0.538880\pi\) |
0.434113 | + | 0.900858i | \(0.357062\pi\) | |||||||
\(824\) | −6.49772 | + | 14.2280i | −0.226359 | + | 0.495657i | ||||
\(825\) | −0.438048 | + | 3.04669i | −0.0152509 | + | 0.106072i | ||||
\(826\) | 8.50452 | − | 5.46553i | 0.295910 | − | 0.190170i | ||||
\(827\) | −54.7053 | −1.90229 | −0.951145 | − | 0.308745i | \(-0.900091\pi\) | ||||
−0.951145 | + | 0.308745i | \(0.900091\pi\) | |||||||
\(828\) | 2.45093 | − | 4.12225i | 0.0851757 | − | 0.143258i | ||||
\(829\) | −55.3720 | −1.92315 | −0.961574 | − | 0.274545i | \(-0.911473\pi\) | ||||
−0.961574 | + | 0.274545i | \(0.911473\pi\) | |||||||
\(830\) | 8.74654 | − | 5.62106i | 0.303597 | − | 0.195110i | ||||
\(831\) | −0.307845 | + | 2.14111i | −0.0106790 | + | 0.0742744i | ||||
\(832\) | 0.0279611 | − | 0.0612263i | 0.000969378 | − | 0.00212264i | ||||
\(833\) | −19.8191 | + | 5.81941i | −0.686690 | + | 0.201630i | ||||
\(834\) | 3.24914 | + | 7.11462i | 0.112508 | + | 0.246359i | ||||
\(835\) | −20.5413 | − | 23.7059i | −0.710862 | − | 0.820378i | ||||
\(836\) | −0.589041 | − | 4.09687i | −0.0203724 | − | 0.141693i | ||||
\(837\) | 1.52699 | + | 0.448364i | 0.0527805 | + | 0.0154977i | ||||
\(838\) | −9.24540 | + | 10.6698i | −0.319377 | + | 0.368581i | ||||
\(839\) | 9.81379 | + | 6.30694i | 0.338810 | + | 0.217740i | 0.698970 | − | 0.715151i | \(-0.253642\pi\) |
−0.360161 | + | 0.932890i | \(0.617278\pi\) | |||||||
\(840\) | 1.53833 | + | 0.988626i | 0.0530775 | + | 0.0341108i | ||||
\(841\) | −19.6157 | + | 22.6378i | −0.676405 | + | 0.780613i | ||||
\(842\) | −21.4103 | − | 6.28663i | −0.737848 | − | 0.216652i | ||||
\(843\) | −2.92544 | − | 20.3469i | −0.100757 | − | 0.700783i | ||||
\(844\) | −12.6974 | − | 14.6536i | −0.437064 | − | 0.504398i | ||||
\(845\) | 6.67515 | + | 14.6165i | 0.229632 | + | 0.502824i | ||||
\(846\) | −7.97598 | + | 2.34196i | −0.274220 | + | 0.0805183i | ||||
\(847\) | 6.27481 | − | 13.7399i | 0.215605 | − | 0.472109i | ||||
\(848\) | 0.426315 | − | 2.96509i | 0.0146397 | − | 0.101821i | ||||
\(849\) | 14.2478 | − | 9.15648i | 0.488982 | − | 0.314250i | ||||
\(850\) | 14.8973 | 0.510972 | ||||||||
\(851\) | −24.9299 | − | 2.70324i | −0.854585 | − | 0.0926660i | ||||
\(852\) | −7.31821 | −0.250718 | ||||||||
\(853\) | 32.8461 | − | 21.1089i | 1.12463 | − | 0.722756i | 0.160198 | − | 0.987085i | \(-0.448787\pi\) |
0.964433 | + | 0.264329i | \(0.0851504\pi\) | |||||||
\(854\) | −0.968184 | + | 6.73387i | −0.0331306 | + | 0.230428i | ||||
\(855\) | 2.39752 | − | 5.24983i | 0.0819934 | − | 0.179540i | ||||
\(856\) | 13.2588 | − | 3.89313i | 0.453176 | − | 0.133064i | ||||
\(857\) | 15.2899 | + | 33.4803i | 0.522294 | + | 1.14366i | 0.968564 | + | 0.248765i | \(0.0800248\pi\) |
−0.446270 | + | 0.894898i | \(0.647248\pi\) | |||||||
\(858\) | 0.0390862 | + | 0.0451079i | 0.00133438 | + | 0.00153996i | ||||
\(859\) | 0.433930 | + | 3.01805i | 0.0148055 | + | 0.102975i | 0.995884 | − | 0.0906349i | \(-0.0288896\pi\) |
−0.981079 | + | 0.193609i | \(0.937981\pi\) | |||||||
\(860\) | 7.80407 | + | 2.29148i | 0.266117 | + | 0.0781389i | ||||
\(861\) | −0.131646 | + | 0.151928i | −0.00448649 | + | 0.00517769i | ||||
\(862\) | −15.1568 | − | 9.74066i | −0.516241 | − | 0.331768i | ||||
\(863\) | −11.5401 | − | 7.41637i | −0.392830 | − | 0.252456i | 0.329284 | − | 0.944231i | \(-0.393193\pi\) |
−0.722113 | + | 0.691775i | \(0.756829\pi\) | |||||||
\(864\) | −0.654861 | + | 0.755750i | −0.0222788 | + | 0.0257111i | ||||
\(865\) | 20.3997 | + | 5.98988i | 0.693609 | + | 0.203662i | ||||
\(866\) | −2.94821 | − | 20.5053i | −0.100184 | − | 0.696798i | ||||
\(867\) | −0.929446 | − | 1.07264i | −0.0315656 | − | 0.0364287i | ||||
\(868\) | 0.977716 | + | 2.14090i | 0.0331858 | + | 0.0726668i | ||||
\(869\) | 6.71687 | − | 1.97225i | 0.227854 | − | 0.0669040i | ||||
\(870\) | 3.94390 | − | 8.63593i | 0.133711 | − | 0.292786i | ||||
\(871\) | −0.118829 | + | 0.826475i | −0.00402637 | + | 0.0280041i | ||||
\(872\) | 9.07421 | − | 5.83164i | 0.307291 | − | 0.197484i | ||||
\(873\) | −17.1665 | −0.580998 | ||||||||
\(874\) | −7.04979 | − | 21.2459i | −0.238463 | − | 0.718653i | ||||
\(875\) | −15.4904 | −0.523673 | ||||||||
\(876\) | 11.1027 | − | 7.13527i | 0.375125 | − | 0.241078i | ||||
\(877\) | −3.00085 | + | 20.8714i | −0.101332 | + | 0.704776i | 0.874304 | + | 0.485379i | \(0.161318\pi\) |
−0.975636 | + | 0.219397i | \(0.929591\pi\) | |||||||
\(878\) | −5.64610 | + | 12.3632i | −0.190547 | + | 0.417239i | ||||
\(879\) | −1.97880 | + | 0.581028i | −0.0667433 | + | 0.0195976i | ||||
\(880\) | 0.455482 | + | 0.997366i | 0.0153543 | + | 0.0336212i | ||||
\(881\) | 6.08185 | + | 7.01883i | 0.204903 | + | 0.236471i | 0.848895 | − | 0.528562i | \(-0.177268\pi\) |
−0.643992 | + | 0.765032i | \(0.722723\pi\) | |||||||
\(882\) | 0.684944 | + | 4.76389i | 0.0230633 | + | 0.160409i | ||||
\(883\) | −43.6009 | − | 12.8024i | −1.46729 | − | 0.430835i | −0.552071 | − | 0.833797i | \(-0.686162\pi\) |
−0.915216 | + | 0.402962i | \(0.867981\pi\) | |||||||
\(884\) | 0.189173 | − | 0.218317i | 0.00636256 | − | 0.00734279i | ||||
\(885\) | 7.11050 | + | 4.56964i | 0.239017 | + | 0.153607i | ||||
\(886\) | 8.75114 | + | 5.62402i | 0.294000 | + | 0.188943i | ||||
\(887\) | −3.74676 | + | 4.32399i | −0.125804 | + | 0.145186i | −0.815157 | − | 0.579240i | \(-0.803349\pi\) |
0.689353 | + | 0.724426i | \(0.257895\pi\) | |||||||
\(888\) | 5.01691 | + | 1.47310i | 0.168356 | + | 0.0494339i | ||||
\(889\) | −3.03233 | − | 21.0903i | −0.101701 | − | 0.707347i | ||||
\(890\) | 9.49274 | + | 10.9552i | 0.318197 | + | 0.367219i | ||||
\(891\) | −0.368370 | − | 0.806618i | −0.0123409 | − | 0.0270227i | ||||
\(892\) | −19.7401 | + | 5.79623i | −0.660949 | + | 0.194072i | ||||
\(893\) | −16.1182 | + | 35.2940i | −0.539376 | + | 1.18107i | ||||
\(894\) | 0.704803 | − | 4.90201i | 0.0235721 | − | 0.163948i | ||||
\(895\) | 6.35349 | − | 4.08314i | 0.212374 | − | 0.136484i | ||||
\(896\) | −1.47889 | −0.0494063 | ||||||||
\(897\) | 0.251162 | + | 0.202778i | 0.00838607 | + | 0.00677055i | ||||
\(898\) | 10.7318 | 0.358125 | ||||||||
\(899\) | 10.2796 | − | 6.60632i | 0.342845 | − | 0.220333i | ||||
\(900\) | 0.493992 | − | 3.43579i | 0.0164664 | − | 0.114526i | ||||
\(901\) | 5.34071 | − | 11.6945i | 0.177925 | − | 0.389601i | ||||
\(902\) | −0.115656 | + | 0.0339596i | −0.00385092 | + | 0.00113073i | ||||
\(903\) | −4.04121 | − | 8.84901i | −0.134483 | − | 0.294477i | ||||
\(904\) | 2.99292 | + | 3.45402i | 0.0995431 | + | 0.114879i | ||||
\(905\) | 3.78159 | + | 26.3016i | 0.125704 | + | 0.874294i | ||||
\(906\) | −14.7413 | − | 4.32844i | −0.489747 | − | 0.143803i | ||||
\(907\) | 17.2174 | − | 19.8700i | 0.571695 | − | 0.659772i | −0.394103 | − | 0.919066i | \(-0.628945\pi\) |
0.965798 | + | 0.259295i | \(0.0834901\pi\) | |||||||
\(908\) | −19.3684 | − | 12.4473i | −0.642762 | − | 0.413078i | ||||
\(909\) | 5.03669 | + | 3.23688i | 0.167056 | + | 0.107361i | ||||
\(910\) | −0.0806018 | + | 0.0930194i | −0.00267192 | + | 0.00308356i | ||||
\(911\) | 47.3923 | + | 13.9156i | 1.57018 | + | 0.461046i | 0.947053 | − | 0.321077i | \(-0.104045\pi\) |
0.623124 | + | 0.782123i | \(0.285863\pi\) | |||||||
\(912\) | 0.664268 | + | 4.62008i | 0.0219961 | + | 0.152986i | ||||
\(913\) | −4.88286 | − | 5.63512i | −0.161599 | − | 0.186495i | ||||
\(914\) | 0.351135 | + | 0.768878i | 0.0116145 | + | 0.0254322i | ||||
\(915\) | −5.45758 | + | 1.60249i | −0.180422 | + | 0.0529767i | ||||
\(916\) | 3.11714 | − | 6.82558i | 0.102993 | − | 0.225524i | ||||
\(917\) | −0.963939 | + | 6.70435i | −0.0318321 | + | 0.221397i | ||||
\(918\) | −3.61047 | + | 2.32031i | −0.119163 | + | 0.0765815i | ||||
\(919\) | 28.9737 | 0.955753 | 0.477876 | − | 0.878427i | \(-0.341407\pi\) | ||||
0.477876 | + | 0.878427i | \(0.341407\pi\) | |||||||
\(920\) | 3.37754 | + | 4.87406i | 0.111354 | + | 0.160693i | ||||
\(921\) | −4.08297 | −0.134538 | ||||||||
\(922\) | −14.5019 | + | 9.31981i | −0.477595 | + | 0.306932i | ||||
\(923\) | 0.0701016 | − | 0.487567i | 0.00230742 | − | 0.0160485i | ||||
\(924\) | 0.544780 | − | 1.19290i | 0.0179219 | − | 0.0392436i | ||||
\(925\) | −17.4143 | + | 5.11330i | −0.572578 | + | 0.168124i | ||||
\(926\) | −0.752952 | − | 1.64873i | −0.0247435 | − | 0.0541808i | ||||
\(927\) | 10.2430 | + | 11.8211i | 0.336425 | + | 0.388255i | ||||
\(928\) | 1.09272 | + | 7.60000i | 0.0358701 | + | 0.249482i | ||||
\(929\) | 46.9634 | + | 13.7897i | 1.54082 | + | 0.452425i | 0.938341 | − | 0.345711i | \(-0.112362\pi\) |
0.602477 | + | 0.798136i | \(0.294180\pi\) | |||||||
\(930\) | −1.28863 | + | 1.48716i | −0.0422560 | + | 0.0487660i | ||||
\(931\) | 18.8984 | + | 12.1453i | 0.619370 | + | 0.398045i | ||||
\(932\) | 20.4999 | + | 13.1745i | 0.671495 | + | 0.431544i | ||||
\(933\) | 8.34900 | − | 9.63526i | 0.273334 | − | 0.315444i | ||||
\(934\) | 31.4930 | + | 9.24717i | 1.03048 | + | 0.302577i | ||||
\(935\) | 0.669693 | + | 4.65782i | 0.0219013 | + | 0.152327i | ||||
\(936\) | −0.0440780 | − | 0.0508687i | −0.00144073 | − | 0.00166269i | ||||
\(937\) | 19.0744 | + | 41.7671i | 0.623134 | + | 1.36447i | 0.913218 | + | 0.407472i | \(0.133589\pi\) |
−0.290084 | + | 0.957001i | \(0.593683\pi\) | |||||||
\(938\) | 17.6027 | − | 5.16861i | 0.574748 | − | 0.168761i | ||||
\(939\) | −3.23288 | + | 7.07901i | −0.105501 | + | 0.231015i | ||||
\(940\) | 1.46278 | − | 10.1739i | 0.0477107 | − | 0.331835i | ||||
\(941\) | −31.6678 | + | 20.3516i | −1.03234 | + | 0.663445i | −0.943081 | − | 0.332564i | \(-0.892086\pi\) |
−0.0892594 | + | 0.996008i | \(0.528450\pi\) | |||||||
\(942\) | 12.5073 | 0.407508 | ||||||||
\(943\) | −0.583220 | + | 0.291274i | −0.0189923 | + | 0.00948519i | ||||
\(944\) | −6.83576 | −0.222485 | ||||||||
\(945\) | 1.53833 | − | 0.988626i | 0.0500419 | − | 0.0321600i | ||||
\(946\) | 0.830128 | − | 5.77367i | 0.0269898 | − | 0.187718i | ||||
\(947\) | −3.56072 | + | 7.79688i | −0.115708 | + | 0.253365i | −0.958621 | − | 0.284684i | \(-0.908111\pi\) |
0.842914 | + | 0.538049i | \(0.180838\pi\) | |||||||
\(948\) | −7.57468 | + | 2.22413i | −0.246014 | + | 0.0722363i | ||||
\(949\) | 0.369025 | + | 0.808053i | 0.0119791 | + | 0.0262305i | ||||
\(950\) | −10.6099 | − | 12.2445i | −0.344231 | − | 0.397264i | ||||
\(951\) | −2.81082 | − | 19.5497i | −0.0911471 | − | 0.633942i | ||||
\(952\) | −6.08996 | − | 1.78817i | −0.197377 | − | 0.0579551i | ||||
\(953\) | −25.4412 | + | 29.3607i | −0.824122 | + | 0.951087i | −0.999441 | − | 0.0334245i | \(-0.989359\pi\) |
0.175320 | + | 0.984512i | \(0.443904\pi\) | |||||||
\(954\) | −2.52004 | − | 1.61953i | −0.0815893 | − | 0.0524342i | ||||
\(955\) | 2.94867 | + | 1.89499i | 0.0954166 | + | 0.0613205i | ||||
\(956\) | −5.69496 | + | 6.57234i | −0.184188 | + | 0.212565i | ||||
\(957\) | −6.53283 | − | 1.91821i | −0.211176 | − | 0.0620069i | ||||
\(958\) | 2.87819 | + | 20.0182i | 0.0929900 | + | 0.646760i | ||||
\(959\) | −8.93691 | − | 10.3137i | −0.288588 | − | 0.333048i | ||||
\(960\) | −0.513652 | − | 1.12474i | −0.0165780 | − | 0.0363009i | ||||
\(961\) | 27.3141 | − | 8.02016i | 0.881102 | − | 0.258715i | ||||
\(962\) | −0.146201 | + | 0.320135i | −0.00471370 | + | 0.0103216i | ||||
\(963\) | 1.96658 | − | 13.6779i | 0.0633722 | − | 0.440763i | ||||
\(964\) | −4.77592 | + | 3.06930i | −0.153822 | + | 0.0988553i | ||||
\(965\) | 29.7840 | 0.958779 | ||||||||
\(966\) | 1.76029 | − | 6.87060i | 0.0566365 | − | 0.221058i | ||||
\(967\) | 17.0473 | 0.548205 | 0.274103 | − | 0.961700i | \(-0.411619\pi\) | ||||
0.274103 | + | 0.961700i | \(0.411619\pi\) | |||||||
\(968\) | −8.59229 | + | 5.52193i | −0.276167 | + | 0.177481i | ||||
\(969\) | −2.85089 | + | 19.8283i | −0.0915836 | + | 0.636978i | ||||
\(970\) | 8.81760 | − | 19.3079i | 0.283116 | − | 0.619938i | ||||
\(971\) | 44.6690 | − | 13.1160i | 1.43350 | − | 0.420913i | 0.529449 | − | 0.848342i | \(-0.322399\pi\) |
0.904049 | + | 0.427429i | \(0.140581\pi\) | |||||||
\(972\) | 0.415415 | + | 0.909632i | 0.0133244 | + | 0.0291765i | ||||
\(973\) | 7.57480 | + | 8.74178i | 0.242837 | + | 0.280249i | ||||
\(974\) | 5.62994 | + | 39.1571i | 0.180395 | + | 1.25467i | ||||
\(975\) | 0.224173 | + | 0.0658232i | 0.00717929 | + | 0.00210803i | ||||
\(976\) | 3.01245 | − | 3.47656i | 0.0964263 | − | 0.111282i | ||||
\(977\) | −4.03085 | − | 2.59047i | −0.128958 | − | 0.0828765i | 0.474571 | − | 0.880217i | \(-0.342603\pi\) |
−0.603530 | + | 0.797341i | \(0.706239\pi\) | |||||||
\(978\) | −8.77430 | − | 5.63890i | −0.280571 | − | 0.180312i | ||||
\(979\) | 6.80781 | − | 7.85663i | 0.217578 | − | 0.251099i | ||||
\(980\) | −5.70997 | − | 1.67660i | −0.182398 | − | 0.0535569i | ||||
\(981\) | −1.53508 | − | 10.6767i | −0.0490114 | − | 0.340882i | ||||
\(982\) | −15.9314 | − | 18.3858i | −0.508391 | − | 0.586714i | ||||
\(983\) | −10.7234 | − | 23.4810i | −0.342024 | − | 0.748929i | 0.657967 | − | 0.753047i | \(-0.271417\pi\) |
−0.999992 | + | 0.00411763i | \(0.998689\pi\) | |||||||
\(984\) | 0.130426 | − | 0.0382966i | 0.00415784 | − | 0.00122085i | ||||
\(985\) | 12.6386 | − | 27.6747i | 0.402700 | − | 0.881790i | ||||
\(986\) | −4.68969 | + | 32.6175i | −0.149350 | + | 1.03875i | ||||
\(987\) | −10.3420 | + | 6.64642i | −0.329190 | + | 0.211558i | ||||
\(988\) | −0.314171 | −0.00999510 | ||||||||
\(989\) | −1.09722 | − | 31.5278i | −0.0348897 | − | 1.00253i | ||||
\(990\) | 1.09645 | 0.0348475 | ||||||||
\(991\) | 15.2984 | − | 9.83170i | 0.485971 | − | 0.312314i | −0.274613 | − | 0.961555i | \(-0.588550\pi\) |
0.760583 | + | 0.649241i | \(0.224913\pi\) | |||||||
\(992\) | 0.226488 | − | 1.57526i | 0.00719099 | − | 0.0500144i | ||||
\(993\) | −1.78287 | + | 3.90395i | −0.0565778 | + | 0.123888i | ||||
\(994\) | −10.3844 | + | 3.04915i | −0.329374 | + | 0.0967130i | ||||
\(995\) | −3.22462 | − | 7.06093i | −0.102227 | − | 0.223847i | ||||
\(996\) | 5.50645 | + | 6.35478i | 0.174478 | + | 0.201359i | ||||
\(997\) | −0.613793 | − | 4.26902i | −0.0194390 | − | 0.135201i | 0.977791 | − | 0.209583i | \(-0.0672107\pi\) |
−0.997230 | + | 0.0743819i | \(0.976302\pi\) | |||||||
\(998\) | 15.2325 | + | 4.47267i | 0.482177 | + | 0.141580i | ||||
\(999\) | 3.42408 | − | 3.95159i | 0.108333 | − | 0.125023i |
(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 | 138.2.e.a.127.1 | yes | 10 | |
3.2 | odd | 2 | 414.2.i.d.127.1 | 10 | |||
23.2 | even | 11 | inner | 138.2.e.a.25.1 | ✓ | 10 | |
23.5 | odd | 22 | 3174.2.a.bd.1.2 | 5 | |||
23.18 | even | 11 | 3174.2.a.bc.1.4 | 5 | |||
69.2 | odd | 22 | 414.2.i.d.163.1 | 10 | |||
69.5 | even | 22 | 9522.2.a.bq.1.4 | 5 | |||
69.41 | odd | 22 | 9522.2.a.bt.1.2 | 5 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
138.2.e.a.25.1 | ✓ | 10 | 23.2 | even | 11 | inner | |
138.2.e.a.127.1 | yes | 10 | 1.1 | even | 1 | trivial | |
414.2.i.d.127.1 | 10 | 3.2 | odd | 2 | |||
414.2.i.d.163.1 | 10 | 69.2 | odd | 22 | |||
3174.2.a.bc.1.4 | 5 | 23.18 | even | 11 | |||
3174.2.a.bd.1.2 | 5 | 23.5 | odd | 22 | |||
9522.2.a.bq.1.4 | 5 | 69.5 | even | 22 | |||
9522.2.a.bt.1.2 | 5 | 69.41 | odd | 22 |