Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [585,2,Mod(406,585)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(585, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("585.406");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 585.j (of order , degree , 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: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Coefficient field: | 6.0.591408.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
|
Coefficient ring: | |
Coefficient ring index: | |
Twist minimal: | no (minimal twist has level 195) |
Sato-Tate group: |
Embedding invariants
Embedding label | 406.3 | ||
Root | of defining polynomial | ||
Character | 585.406 | ||
Dual form | 585.2.j.g.451.3 |
-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 on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
1.10716 | + | 1.91766i | 0.782880 | + | 1.35599i | 0.930257 | + | 0.366908i | ||
−0.147377 | + | 0.989080i | ||||||||
0 | 0 | |||||||||
−1.45161 | + | 2.51426i | −0.725803 | + | 1.25713i | |||||
1.00000 | 0.447214 | |||||||||
0 | 0 | |||||||||
1.91827 | − | 3.32254i | 0.725037 | − | 1.25580i | −0.233922 | − | 0.972255i | ||
0.958959 | − | 0.283546i | ||||||||
−2.00000 | −0.707107 | |||||||||
0 | 0 | |||||||||
1.10716 | + | 1.91766i | 0.350115 | + | 0.606416i | |||||
2.90321 | + | 5.02851i | 0.875351 | + | 1.51615i | 0.856388 | + | 0.516333i | ||
0.0189633 | + | 0.999820i | ||||||||
0 | 0 | |||||||||
0.533338 | − | 3.56589i | 0.147921 | − | 0.988999i | |||||
8.49532 | 2.27047 | |||||||||
0 | 0 | |||||||||
0.688892 | + | 1.19320i | 0.172223 | + | 0.298299i | |||||
−1.79605 | + | 3.11085i | −0.435607 | + | 0.754493i | −0.997345 | − | 0.0728222i | ||
0.561738 | + | 0.827315i | ||||||||
0 | 0 | |||||||||
−1.07382 | + | 1.85991i | −0.246352 | + | 0.426693i | −0.962511 | − | 0.271244i | ||
0.716159 | + | 0.697937i | ||||||||
−1.45161 | + | 2.51426i | −0.324589 | + | 0.562205i | |||||
0 | 0 | |||||||||
−6.42864 | + | 11.1347i | −1.37059 | + | 2.37393i | |||||
−3.11753 | − | 5.39972i | −0.650050 | − | 1.12592i | −0.983110 | − | 0.183014i | ||
0.333060 | − | 0.942906i | ||||||||
0 | 0 | |||||||||
1.00000 | 0.200000 | |||||||||
7.42864 | − | 2.92525i | 1.45688 | − | 0.573688i | |||||
0 | 0 | |||||||||
5.56914 | + | 9.64603i | 1.05247 | + | 1.82293i | |||||
1.03334 | + | 1.78979i | 0.191886 | + | 0.332356i | 0.945875 | − | 0.324530i | ||
−0.753989 | + | 0.656887i | ||||||||
0 | 0 | |||||||||
−5.28100 | −0.948495 | −0.474247 | − | 0.880392i | ||||||
−0.474247 | + | 0.880392i | ||||||||
−3.52543 | + | 6.10622i | −0.623213 | + | 1.07944i | |||||
0 | 0 | |||||||||
−7.95407 | −1.36411 | |||||||||
1.91827 | − | 3.32254i | 0.324246 | − | 0.561611i | |||||
0 | 0 | |||||||||
2.37778 | + | 4.11844i | 0.390905 | + | 0.677068i | 0.992569 | − | 0.121681i | ||
−0.601664 | + | 0.798749i | ||||||||
−4.75557 | −0.771455 | |||||||||
0 | 0 | |||||||||
−2.00000 | −0.316228 | |||||||||
−5.55877 | − | 9.62806i | −0.868133 | − | 1.50365i | −0.863902 | − | 0.503660i | ||
−0.00423144 | − | 0.999991i | ||||||||
0 | 0 | |||||||||
4.74766 | − | 8.22318i | 0.724011 | − | 1.25402i | −0.235369 | − | 0.971906i | ||
0.959380 | − | 0.282118i | ||||||||
−16.8573 | −2.54133 | |||||||||
0 | 0 | |||||||||
6.90321 | − | 11.9567i | 1.01782 | − | 1.76292i | |||||
−2.21432 | −0.322992 | −0.161496 | − | 0.986873i | ||||||
−0.161496 | + | 0.986873i | ||||||||
0 | 0 | |||||||||
−3.85950 | − | 6.68485i | −0.551357 | − | 0.954979i | |||||
1.10716 | + | 1.91766i | 0.156576 | + | 0.271198i | |||||
0 | 0 | |||||||||
8.19135 | + | 6.51721i | 1.13594 | + | 0.903775i | |||||
0.815792 | 0.112058 | 0.0560288 | − | 0.998429i | ||||||
0.0560288 | + | 0.998429i | ||||||||
0 | 0 | |||||||||
2.90321 | + | 5.02851i | 0.391469 | + | 0.678044i | |||||
−3.83654 | + | 6.64507i | −0.512679 | + | 0.887985i | |||||
0 | 0 | |||||||||
−2.28814 | + | 3.96318i | −0.300448 | + | 0.520391i | |||||
−4.98741 | + | 8.63844i | −0.649305 | + | 1.12463i | 0.333984 | + | 0.942579i | ||
−0.983289 | + | 0.182050i | ||||||||
0 | 0 | |||||||||
−2.64050 | + | 4.57348i | −0.338081 | + | 0.585574i | −0.984072 | − | 0.177772i | ||
0.645991 | + | 0.763345i | ||||||||
−5.84691 | − | 10.1271i | −0.742558 | − | 1.28615i | |||||
0 | 0 | |||||||||
−12.8573 | −1.60716 | |||||||||
0.533338 | − | 3.56589i | 0.0661525 | − | 0.442294i | |||||
0 | 0 | |||||||||
1.77777 | + | 3.07919i | 0.217189 | + | 0.376183i | 0.953948 | − | 0.299973i | ||
−0.736758 | + | 0.676156i | ||||||||
−5.21432 | − | 9.03147i | −0.632329 | − | 1.09523i | |||||
0 | 0 | |||||||||
8.49532 | 1.01538 | |||||||||
2.86987 | − | 4.97077i | 0.340591 | − | 0.589922i | −0.643951 | − | 0.765066i | ||
0.984543 | + | 0.175145i | ||||||||
0 | 0 | |||||||||
−2.78568 | −0.326039 | −0.163020 | − | 0.986623i | ||||||
−0.163020 | + | 0.986623i | ||||||||
−5.26517 | + | 9.11955i | −0.612064 | + | 1.06013i | |||||
0 | 0 | |||||||||
−3.11753 | − | 5.39972i | −0.357605 | − | 0.619391i | |||||
22.2766 | 2.53865 | |||||||||
0 | 0 | |||||||||
12.3319 | 1.38744 | 0.693721 | − | 0.720244i | ||||||
0.693721 | + | 0.720244i | ||||||||
0.688892 | + | 1.19320i | 0.0770205 | + | 0.133403i | |||||
0 | 0 | |||||||||
12.3089 | − | 21.3196i | 1.35929 | − | 2.35436i | |||||
−0.622216 | −0.0682970 | −0.0341485 | − | 0.999417i | ||||||
−0.0341485 | + | 0.999417i | ||||||||
0 | 0 | |||||||||
−1.79605 | + | 3.11085i | −0.194809 | + | 0.337419i | |||||
21.0257 | 2.26726 | |||||||||
0 | 0 | |||||||||
−5.80642 | − | 10.0570i | −0.618967 | − | 1.07208i | |||||
−8.08419 | − | 14.0022i | −0.856923 | − | 1.48423i | −0.874850 | − | 0.484395i | ||
0.0179269 | − | 0.999839i | ||||||||
0 | 0 | |||||||||
−10.8247 | − | 8.61236i | −1.13474 | − | 0.902821i | |||||
18.1017 | 1.88723 | |||||||||
0 | 0 | |||||||||
−2.45161 | − | 4.24631i | −0.252864 | − | 0.437973i | |||||
−1.07382 | + | 1.85991i | −0.110172 | + | 0.190823i | |||||
0 | 0 | |||||||||
−2.12544 | + | 3.68137i | −0.215806 | + | 0.373787i | −0.953522 | − | 0.301325i | ||
0.737716 | + | 0.675112i | ||||||||
8.54617 | − | 14.8024i | 0.863294 | − | 1.49527i | |||||
0 | 0 | |||||||||
−1.45161 | + | 2.51426i | −0.145161 | + | 0.251426i | |||||
−1.11753 | − | 1.93562i | −0.111199 | − | 0.192602i | 0.805055 | − | 0.593200i | ||
−0.916254 | + | 0.400598i | ||||||||
0 | 0 | |||||||||
−2.44446 | −0.240860 | −0.120430 | − | 0.992722i | ||||||
−0.120430 | + | 0.992722i | ||||||||
−1.06668 | + | 7.13177i | −0.104596 | + | 0.699328i | |||||
0 | 0 | |||||||||
0.903212 | + | 1.56441i | 0.0877277 | + | 0.151949i | |||||
0.826164 | + | 1.43096i | 0.0798682 | + | 0.138336i | 0.903193 | − | 0.429235i | ||
−0.823325 | + | 0.567571i | ||||||||
0 | 0 | |||||||||
−2.61285 | −0.250265 | −0.125133 | − | 0.992140i | ||||||
−0.125133 | + | 0.992140i | ||||||||
−6.42864 | + | 11.1347i | −0.612947 | + | 1.06165i | |||||
0 | 0 | |||||||||
5.28592 | 0.499472 | |||||||||
1.21432 | − | 2.10326i | 0.114234 | − | 0.197858i | −0.803240 | − | 0.595656i | ||
0.917473 | + | 0.397798i | ||||||||
0 | 0 | |||||||||
−3.11753 | − | 5.39972i | −0.290711 | − | 0.503527i | |||||
−6.00000 | −0.557086 | |||||||||
0 | 0 | |||||||||
−22.0874 | −2.03331 | |||||||||
6.89062 | + | 11.9349i | 0.631662 | + | 1.09407i | |||||
0 | 0 | |||||||||
−11.3573 | + | 19.6714i | −1.03248 | + | 1.78831i | |||||
−11.6938 | −1.05871 | |||||||||
0 | 0 | |||||||||
7.66593 | − | 13.2778i | 0.688420 | − | 1.19238i | |||||
1.00000 | 0.0894427 | |||||||||
0 | 0 | |||||||||
−9.62790 | − | 16.6760i | −0.854338 | − | 1.47976i | −0.877258 | − | 0.480020i | ||
0.0229193 | − | 0.999737i | ||||||||
−7.18421 | − | 12.4434i | −0.635000 | − | 1.09985i | |||||
0 | 0 | |||||||||
7.42864 | − | 2.92525i | 0.651535 | − | 0.256561i | |||||
−13.4128 | −1.17188 | −0.585942 | − | 0.810353i | ||||||
−0.585942 | + | 0.810353i | ||||||||
0 | 0 | |||||||||
4.11975 | + | 7.13562i | 0.357228 | + | 0.618737i | |||||
−3.93655 | + | 6.81830i | −0.340066 | + | 0.589012i | |||||
0 | 0 | |||||||||
3.59210 | − | 6.22171i | 0.308020 | − | 0.533507i | |||||
−2.36741 | + | 4.10048i | −0.202262 | + | 0.350328i | −0.949257 | − | 0.314502i | ||
0.746995 | + | 0.664830i | ||||||||
0 | 0 | |||||||||
5.52074 | − | 9.56221i | 0.468263 | − | 0.811056i | −0.531079 | − | 0.847322i | ||
0.999342 | + | 0.0362665i | ||||||||
5.56914 | + | 9.64603i | 0.470678 | + | 0.815238i | |||||
0 | 0 | |||||||||
12.7096 | 1.06657 | |||||||||
19.4795 | − | 7.67063i | 1.62896 | − | 0.641450i | |||||
0 | 0 | |||||||||
1.03334 | + | 1.78979i | 0.0858141 | + | 0.148634i | |||||
−3.08419 | − | 5.34198i | −0.255250 | − | 0.442105i | |||||
0 | 0 | |||||||||
−13.8064 | −1.13488 | |||||||||
−1.00000 | + | 1.73205i | −0.0819232 | + | 0.141895i | −0.904076 | − | 0.427372i | ||
0.822153 | + | 0.569267i | ||||||||
0 | 0 | |||||||||
8.81135 | 0.717057 | 0.358529 | − | 0.933519i | ||||||
0.358529 | + | 0.933519i | ||||||||
2.14764 | − | 3.71983i | 0.174197 | − | 0.301718i | |||||
0 | 0 | |||||||||
24.6637 | + | 42.7188i | 1.98746 | + | 3.44238i | |||||
−5.28100 | −0.424180 | |||||||||
0 | 0 | |||||||||
−2.73975 | −0.218656 | −0.109328 | − | 0.994006i | ||||||
−0.109328 | + | 0.994006i | ||||||||
13.6533 | + | 23.6483i | 1.08620 | + | 1.88135i | |||||
0 | 0 | |||||||||
−3.52543 | + | 6.10622i | −0.278710 | + | 0.482739i | |||||
−23.9210 | −1.88524 | |||||||||
0 | 0 | |||||||||
12.3469 | − | 21.3855i | 0.967084 | − | 1.67504i | 0.263177 | − | 0.964748i | ||
0.703907 | − | 0.710292i | ||||||||
32.2766 | 2.52038 | |||||||||
0 | 0 | |||||||||
−0.688892 | − | 1.19320i | −0.0534684 | − | 0.0926100i | |||||
3.95407 | + | 6.84865i | 0.305975 | + | 0.529964i | 0.977478 | − | 0.211038i | ||
−0.671503 | + | 0.741002i | ||||||||
0 | 0 | |||||||||
−12.4311 | − | 3.80365i | −0.956239 | − | 0.292588i | |||||
−7.95407 | −0.610049 | |||||||||
0 | 0 | |||||||||
13.7835 | + | 23.8736i | 1.05098 | + | 1.82035i | |||||
−1.82616 | + | 3.16301i | −0.138841 | + | 0.240479i | −0.927058 | − | 0.374918i | ||
0.788217 | + | 0.615397i | ||||||||
0 | 0 | |||||||||
1.91827 | − | 3.32254i | 0.145007 | − | 0.251160i | |||||
−4.00000 | + | 6.92820i | −0.301511 | + | 0.522233i | |||||
0 | 0 | |||||||||
17.9010 | − | 31.0054i | 1.34174 | − | 2.32395i | |||||
−2.92073 | − | 5.05885i | −0.218306 | − | 0.378116i | 0.735985 | − | 0.676998i | ||
−0.954290 | + | 0.298882i | ||||||||
0 | 0 | |||||||||
10.0874 | 0.749792 | 0.374896 | − | 0.927067i | ||||||
0.374896 | + | 0.927067i | ||||||||
4.53088 | − | 30.2933i | 0.335851 | − | 2.24549i | |||||
0 | 0 | |||||||||
6.23506 | + | 10.7994i | 0.459655 | + | 0.796146i | |||||
2.37778 | + | 4.11844i | 0.174818 | + | 0.302794i | |||||
0 | 0 | |||||||||
−20.8573 | −1.52524 | |||||||||
3.21432 | − | 5.56737i | 0.234428 | − | 0.406042i | |||||
0 | 0 | |||||||||
−4.75557 | −0.345005 | |||||||||
7.98741 | − | 13.8346i | 0.577948 | − | 1.00104i | −0.417766 | − | 0.908555i | ||
0.995714 | − | 0.0924813i | ||||||||
0 | 0 | |||||||||
1.85159 | + | 3.20705i | 0.133280 | + | 0.230849i | 0.924939 | − | 0.380115i | ||
−0.791659 | + | 0.610963i | ||||||||
−9.41282 | −0.675801 | |||||||||
0 | 0 | |||||||||
22.4099 | 1.60071 | |||||||||
8.19850 | + | 14.2002i | 0.584119 | + | 1.01172i | 0.994985 | + | 0.100028i | ||
−0.410866 | + | 0.911696i | ||||||||
0 | 0 | |||||||||
−2.64764 | + | 4.58585i | −0.187686 | + | 0.325082i | −0.944478 | − | 0.328573i | ||
0.756792 | + | 0.653656i | ||||||||
−2.00000 | −0.141421 | |||||||||
0 | 0 | |||||||||
2.47457 | − | 4.28609i | 0.174110 | − | 0.301568i | |||||
7.92888 | 0.556498 | |||||||||
0 | 0 | |||||||||
−5.55877 | − | 9.62806i | −0.388241 | − | 0.672453i | |||||
−2.70641 | − | 4.68764i | −0.188564 | − | 0.326603i | |||||
0 | 0 | |||||||||
4.62222 | − | 1.82013i | 0.320493 | − | 0.126204i | |||||
−12.4701 | −0.862577 | |||||||||
0 | 0 | |||||||||
−3.99532 | − | 6.92009i | −0.275049 | − | 0.476399i | 0.695099 | − | 0.718914i | ||
−0.970147 | + | 0.242516i | ||||||||
−1.18421 | + | 2.05111i | −0.0813318 | + | 0.140871i | |||||
0 | 0 | |||||||||
−1.82939 | + | 3.16860i | −0.125055 | + | 0.216601i | |||||
4.74766 | − | 8.22318i | 0.323788 | − | 0.560817i | |||||
0 | 0 | |||||||||
−10.1304 | + | 17.5463i | −0.687694 | + | 1.19112i | |||||
−2.89284 | − | 5.01055i | −0.195928 | − | 0.339357i | |||||
0 | 0 | |||||||||
−16.8573 | −1.13652 | |||||||||
10.1350 | + | 8.06366i | 0.681757 | + | 0.542420i | |||||
0 | 0 | |||||||||
4.68889 | + | 8.12140i | 0.313991 | + | 0.543849i | 0.979223 | − | 0.202788i | ||
−0.665231 | + | 0.746637i | ||||||||
13.5254 | + | 23.4267i | 0.903706 | + | 1.56526i | |||||
0 | 0 | |||||||||
5.37778 | 0.357725 | |||||||||
7.20395 | − | 12.4776i | 0.478143 | − | 0.828168i | −0.521543 | − | 0.853225i | ||
0.999686 | + | 0.0250572i | ||||||||
0 | 0 | |||||||||
−17.9541 | −1.18644 | −0.593219 | − | 0.805041i | ||||||
−0.593219 | + | 0.805041i | ||||||||
6.90321 | − | 11.9567i | 0.455184 | − | 0.788402i | |||||
0 | 0 | |||||||||
−2.06668 | − | 3.57959i | −0.135684 | − | 0.235012i | |||||
−27.5210 | −1.80296 | −0.901480 | − | 0.432821i | ||||||
−0.901480 | + | 0.432821i | ||||||||
0 | 0 | |||||||||
−2.21432 | −0.144446 | |||||||||
−14.4795 | − | 25.0792i | −0.942535 | − | 1.63252i | |||||
0 | 0 | |||||||||
−15.2580 | + | 26.4277i | −0.989031 | + | 1.71305i | |||||
19.0321 | 1.23109 | 0.615543 | − | 0.788104i | ||||||
0.615543 | + | 0.788104i | ||||||||
0 | 0 | |||||||||
−11.6407 | + | 20.1623i | −0.749846 | + | 1.29877i | 0.198051 | + | 0.980192i | ||
−0.947896 | + | 0.318579i | ||||||||
−50.2973 | −3.23323 | |||||||||
0 | 0 | |||||||||
−7.66593 | − | 13.2778i | −0.490761 | − | 0.850022i | |||||
−3.85950 | − | 6.68485i | −0.246575 | − | 0.427080i | |||||
0 | 0 | |||||||||
6.05953 | + | 4.82109i | 0.385559 | + | 0.306759i | |||||
10.5620 | 0.670687 | |||||||||
0 | 0 | |||||||||
1.10716 | + | 1.91766i | 0.0700229 | + | 0.121283i | |||||
−13.3620 | + | 23.1436i | −0.843400 | + | 1.46081i | 0.0436042 | + | 0.999049i | ||
−0.887004 | + | 0.461762i | ||||||||
0 | 0 | |||||||||
18.1017 | − | 31.3531i | 1.13804 | − | 1.97115i | |||||
21.3193 | − | 36.9260i | 1.33769 | − | 2.31695i | |||||
0 | 0 | |||||||||
3.05086 | − | 5.28424i | 0.190678 | − | 0.330265i | |||||
−5.95952 | − | 10.3222i | −0.371744 | − | 0.643880i | 0.618090 | − | 0.786108i | ||
−0.989834 | + | 0.142227i | ||||||||
0 | 0 | |||||||||
18.2449 | 1.13368 | |||||||||
8.19135 | + | 6.51721i | 0.508006 | + | 0.404180i | |||||
0 | 0 | |||||||||
−14.8501 | − | 25.7212i | −0.917444 | − | 1.58906i | |||||
7.96444 | + | 13.7948i | 0.491108 | + | 0.850625i | 0.999948 | − | 0.0102370i | ||
−0.508839 | + | 0.860862i | ||||||||
0 | 0 | |||||||||
0.815792 | 0.0501137 | |||||||||
−9.12245 | + | 15.8006i | −0.559334 | + | 0.968794i | |||||
0 | 0 | |||||||||
−10.3225 | −0.630546 | |||||||||
−4.79383 | + | 8.30316i | −0.292285 | + | 0.506252i | −0.974350 | − | 0.225039i | ||
0.682065 | + | 0.731292i | ||||||||
0 | 0 | |||||||||
−6.86196 | − | 11.8853i | −0.416835 | − | 0.721979i | 0.578785 | − | 0.815481i | ||
−0.995619 | + | 0.0935019i | ||||||||
−4.94914 | −0.300086 | |||||||||
0 | 0 | |||||||||
−10.4844 | −0.633387 | |||||||||
2.90321 | + | 5.02851i | 0.175070 | + | 0.303231i | |||||
0 | 0 | |||||||||
−5.90321 | + | 10.2247i | −0.354690 | + | 0.614340i | −0.987065 | − | 0.160322i | ||
0.632375 | + | 0.774662i | ||||||||
24.4494 | 1.46638 | |||||||||
0 | 0 | |||||||||
−3.83654 | + | 6.64507i | −0.229277 | + | 0.397119i | |||||
10.7906 | 0.643713 | 0.321857 | − | 0.946788i | ||||||
0.321857 | + | 0.946788i | ||||||||
0 | 0 | |||||||||
15.5978 | + | 27.0162i | 0.927192 | + | 1.60594i | 0.787997 | + | 0.615680i | ||
0.139196 | + | 0.990265i | ||||||||
8.33185 | + | 14.4312i | 0.494404 | + | 0.856334i | |||||
0 | 0 | |||||||||
36.2766 | + | 28.8624i | 2.14508 | + | 1.70667i | |||||
−42.6528 | −2.51772 | |||||||||
0 | 0 | |||||||||
2.04839 | + | 3.54792i | 0.120494 | + | 0.208701i | |||||
−2.28814 | + | 3.96318i | −0.134364 | + | 0.232726i | |||||
0 | 0 | |||||||||
4.04371 | − | 7.00391i | 0.236640 | − | 0.409873i | |||||
2.95952 | − | 5.12603i | 0.172897 | − | 0.299466i | −0.766535 | − | 0.642203i | ||
0.939431 | + | 0.342737i | ||||||||
0 | 0 | |||||||||
−4.98741 | + | 8.63844i | −0.290378 | + | 0.502949i | |||||
−4.75557 | − | 8.23689i | −0.276412 | − | 0.478759i | |||||
0 | 0 | |||||||||
−4.42864 | −0.256544 | |||||||||
−20.9175 | + | 8.23689i | −1.20969 | + | 0.476351i | |||||
0 | 0 | |||||||||
−18.2146 | − | 31.5485i | −1.04987 | − | 1.81843i | |||||
9.75557 | + | 16.8971i | 0.561370 | + | 0.972321i | |||||
0 | 0 | |||||||||
−2.95899 | −0.169710 | |||||||||
−2.64050 | + | 4.57348i | −0.151194 | + | 0.261877i | |||||
0 | 0 | |||||||||
14.5877 | 0.832562 | 0.416281 | − | 0.909236i | ||||||
0.416281 | + | 0.909236i | ||||||||
−32.3368 | + | 56.0089i | −1.84256 | + | 3.19141i | |||||
0 | 0 | |||||||||
−5.84691 | − | 10.1271i | −0.332082 | − | 0.575183i | |||||
−17.9748 | −1.01926 | −0.509629 | − | 0.860394i | ||||||
−0.509629 | + | 0.860394i | ||||||||
0 | 0 | |||||||||
−5.79060 | −0.327304 | −0.163652 | − | 0.986518i | ||||||
−0.163652 | + | 0.986518i | ||||||||
−3.03334 | − | 5.25390i | −0.171181 | − | 0.296495i | |||||
0 | 0 | |||||||||
−17.9010 | + | 31.0054i | −1.00701 | + | 1.74419i | |||||
−4.78415 | −0.268705 | −0.134352 | − | 0.990934i | ||||||
−0.134352 | + | 0.990934i | ||||||||
0 | 0 | |||||||||
−6.00000 | + | 10.3923i | −0.335936 | + | 0.581857i | |||||
−12.8573 | −0.718744 | |||||||||
0 | 0 | |||||||||
−26.4844 | − | 45.8724i | −1.47592 | − | 2.55637i | |||||
−3.85728 | − | 6.68100i | −0.214625 | − | 0.371741i | |||||
0 | 0 | |||||||||
0.533338 | − | 3.56589i | 0.0295843 | − | 0.197800i | |||||
54.6800 | 3.02845 | |||||||||
0 | 0 | |||||||||
11.1175 | + | 19.2561i | 0.613863 | + | 1.06324i | |||||
−4.24766 | + | 7.35716i | −0.234181 | + | 0.405613i | |||||
0 | 0 | |||||||||
−1.33654 | + | 2.31495i | −0.0734626 | + | 0.127241i | −0.900417 | − | 0.435028i | ||
0.826954 | + | 0.562269i | ||||||||
0.903212 | − | 1.56441i | 0.0495702 | − | 0.0858581i | |||||
0 | 0 | |||||||||
−8.75557 | + | 15.1651i | −0.479083 | + | 0.829797i | |||||
1.77777 | + | 3.07919i | 0.0971299 | + | 0.168234i | |||||
0 | 0 | |||||||||
−29.0350 | −1.58164 | −0.790820 | − | 0.612049i | ||||||
−0.790820 | + | 0.612049i | ||||||||
−6.46912 | − | 28.0498i | −0.351874 | − | 1.52571i | |||||
0 | 0 | |||||||||
−5.21432 | − | 9.03147i | −0.282786 | − | 0.489800i | |||||
−15.3319 | − | 26.5555i | −0.830266 | − | 1.43806i | |||||
0 | 0 | |||||||||
−2.75848 | −0.148944 | |||||||||
−9.49532 | + | 16.4464i | −0.511953 | + | 0.886729i | |||||
0 | 0 | |||||||||
−8.08742 | −0.434782 | |||||||||
14.1541 | − | 24.5156i | 0.759832 | − | 1.31607i | −0.183104 | − | 0.983093i | ||
0.942936 | − | 0.332974i | ||||||||
0 | 0 | |||||||||
16.0232 | + | 27.7530i | 0.857702 | + | 1.48558i | 0.874115 | + | 0.485719i | ||
−0.0164125 | + | 0.999865i | ||||||||
8.49532 | 0.454094 | |||||||||
0 | 0 | |||||||||
−40.9403 | −2.18212 | |||||||||
−7.24443 | − | 12.5477i | −0.385582 | − | 0.667848i | 0.606268 | − | 0.795261i | ||
−0.991850 | + | 0.127413i | ||||||||
0 | 0 | |||||||||
2.86987 | − | 4.97077i | 0.152317 | − | 0.263821i | |||||
46.9403 | 2.48783 | |||||||||
0 | 0 | |||||||||
6.46743 | − | 11.2019i | 0.341814 | − | 0.592039i | |||||
24.2701 | 1.28093 | 0.640463 | − | 0.767989i | ||||||
0.640463 | + | 0.767989i | ||||||||
0 | 0 | |||||||||
7.19381 | + | 12.4601i | 0.378622 | + | 0.655792i | |||||
11.1684 | + | 19.3442i | 0.586997 | + | 1.01671i | |||||
0 | 0 | |||||||||
37.3669 | − | 14.7143i | 1.95856 | − | 0.771240i | |||||
−2.78568 | −0.145809 | |||||||||
0 | 0 | |||||||||
1.11899 | + | 1.93815i | 0.0584107 | + | 0.101170i | 0.893752 | − | 0.448561i | ||
−0.835341 | + | 0.549732i | ||||||||
4.29529 | − | 7.43965i | 0.223907 | − | 0.387819i | |||||
0 | 0 | |||||||||
−5.26517 | + | 9.11955i | −0.273723 | + | 0.474103i | |||||
1.56491 | − | 2.71050i | 0.0812459 | − | 0.140722i | |||||
0 | 0 | |||||||||
−14.0565 | + | 24.3466i | −0.727820 | + | 1.26062i | 0.229982 | + | 0.973195i | ||
−0.957803 | + | 0.287427i | ||||||||
−23.0923 | − | 39.9971i | −1.19408 | − | 2.06820i | |||||
0 | 0 | |||||||||
4.42864 | 0.228390 | |||||||||
6.93332 | − | 2.73020i | 0.357084 | − | 0.140613i | |||||
0 | 0 | |||||||||
9.80888 | + | 16.9895i | 0.503849 | + | 0.872691i | 0.999990 | + | 0.00444967i | ||
−0.496142 | + | 0.868242i | ||||||||
−3.11753 | − | 5.39972i | −0.159926 | − | 0.277000i | |||||
0 | 0 | |||||||||
35.3733 | 1.80986 | |||||||||
−9.72001 | + | 16.8355i | −0.496669 | + | 0.860256i | −0.999993 | − | 0.00384183i | ||
0.503323 | + | 0.864098i | ||||||||
0 | 0 | |||||||||
22.2766 | 1.13532 | |||||||||
−4.10001 | + | 7.10143i | −0.208685 | + | 0.361453i | |||||
0 | 0 | |||||||||
−6.17061 | − | 10.6878i | −0.313265 | − | 0.542591i | |||||
2.81579 | 0.142766 | 0.0713832 | − | 0.997449i | ||||||
0.0713832 | + | 0.997449i | ||||||||
0 | 0 | |||||||||
22.3970 | 1.13266 | |||||||||
7.71900 | + | 13.3697i | 0.389869 | + | 0.675272i | |||||
0 | 0 | |||||||||
−18.1541 | + | 31.4438i | −0.914590 | + | 1.58412i | |||||
12.3319 | 0.620483 | |||||||||
0 | 0 | |||||||||
6.33976 | − | 10.9808i | 0.318184 | − | 0.551110i | −0.661926 | − | 0.749570i | ||
0.980109 | + | 0.198460i | ||||||||
−11.7255 | −0.587744 | |||||||||
0 | 0 | |||||||||
0.688892 | + | 1.19320i | 0.0344446 | + | 0.0596598i | |||||
0.453829 | + | 0.786055i | 0.0226631 | + | 0.0392537i | 0.877135 | − | 0.480245i | ||
−0.854471 | + | 0.519498i | ||||||||
0 | 0 | |||||||||
−2.81656 | + | 18.8314i | −0.140303 | + | 0.938061i | |||||
6.48886 | 0.322833 | |||||||||
0 | 0 | |||||||||
8.77854 | + | 15.2049i | 0.435671 | + | 0.754605i | |||||
−13.8064 | + | 23.9134i | −0.684359 | + | 1.18534i | |||||
0 | 0 | |||||||||
16.7881 | − | 29.0779i | 0.830120 | − | 1.43781i | −0.0678223 | − | 0.997697i | ||
0.897942 | − | 0.440113i | ||||||||
12.3089 | − | 21.3196i | 0.607892 | − | 1.05290i | |||||
0 | 0 | |||||||||
3.54839 | − | 6.14600i | 0.174817 | − | 0.302792i | |||||
19.1344 | + | 33.1417i | 0.941540 | + | 1.63080i | |||||
0 | 0 | |||||||||
−0.622216 | −0.0305434 | |||||||||
19.8938 | + | 15.8280i | 0.975376 | + | 0.776029i | |||||
0 | 0 | |||||||||
−13.8064 | − | 23.9134i | −0.675294 | − | 1.16964i | |||||
11.4763 | + | 19.8775i | 0.560652 | + | 0.971078i | 0.997440 | + | 0.0715136i | ||
−0.436787 | + | 0.899565i | ||||||||
0 | 0 | |||||||||
−31.0874 | −1.51511 | −0.757554 | − | 0.652772i | ||||||
−0.757554 | + | 0.652772i | ||||||||
8.84691 | − | 15.3233i | 0.430661 | − | 0.745926i | |||||
0 | 0 | |||||||||
−1.63158 | −0.0792367 | |||||||||
−1.79605 | + | 3.11085i | −0.0871213 | + | 0.150899i | |||||
0 | 0 | |||||||||
10.1304 | + | 17.5463i | 0.490243 | + | 0.849125i | |||||
−4.79706 | −0.231874 | |||||||||
0 | 0 | |||||||||
21.0257 | 1.01395 | |||||||||
8.52543 | + | 14.7665i | 0.410655 | + | 0.711276i | 0.994962 | − | 0.100257i | ||
−0.584306 | + | 0.811533i | ||||||||
0 | 0 | |||||||||
1.29605 | − | 2.24483i | 0.0622843 | − | 0.107880i | −0.833202 | − | 0.552969i | ||
0.895486 | + | 0.445089i | ||||||||
−44.8637 | −2.15353 | |||||||||
0 | 0 | |||||||||
3.79283 | − | 6.56937i | 0.181643 | − | 0.314616i | |||||
13.3907 | 0.640564 | |||||||||
0 | 0 | |||||||||
6.88493 | + | 11.9250i | 0.328600 | + | 0.569151i | 0.982234 | − | 0.187659i | ||
−0.653635 | + | 0.756810i | ||||||||
−5.80642 | − | 10.0570i | −0.276810 | − | 0.479450i | |||||
0 | 0 | |||||||||
−4.24221 | + | 28.3633i | −0.201781 | + | 1.34910i | |||||
−4.71609 | −0.224068 | −0.112034 | − | 0.993704i | ||||||
−0.112034 | + | 0.993704i | ||||||||
0 | 0 | |||||||||
−8.08419 | − | 14.0022i | −0.383228 | − | 0.663770i | |||||
−10.3827 | + | 17.9834i | −0.491635 | + | 0.851537i | |||||
0 | 0 | |||||||||
−24.6637 | + | 42.7188i | −1.16525 | + | 2.01827i | |||||
−5.16839 | + | 8.95191i | −0.243911 | + | 0.422467i | −0.961825 | − | 0.273665i | ||
0.717914 | + | 0.696132i | ||||||||
0 | 0 | |||||||||
32.2766 | − | 55.9046i | 1.51984 | − | 2.63245i | |||||
3.52543 | + | 6.10622i | 0.165822 | + | 0.287212i | |||||
0 | 0 | |||||||||
31.9037 | 1.49731 | |||||||||
−10.8247 | − | 8.61236i | −0.507470 | − | 0.403754i | |||||
0 | 0 | |||||||||
9.81433 | + | 16.9989i | 0.459095 | + | 0.795176i | 0.998913 | − | 0.0466054i | ||
−0.539818 | + | 0.841782i | ||||||||
−19.8780 | − | 34.4297i | −0.928839 | − | 1.60880i | |||||
0 | 0 | |||||||||
18.1017 | 0.843997 | |||||||||
12.6003 | − | 21.8243i | 0.586852 | − | 1.01646i | −0.407789 | − | 0.913076i | ||
0.994642 | − | 0.103382i | ||||||||
0 | 0 | |||||||||
28.8129 | 1.33905 | 0.669524 | − | 0.742790i | ||||||
0.669524 | + | 0.742790i | ||||||||
−1.42372 | + | 2.46595i | −0.0660944 | + | 0.114479i | |||||
0 | 0 | |||||||||
−30.4701 | − | 52.7758i | −1.41150 | − | 2.44479i | |||||
32.3575 | 1.49733 | 0.748664 | − | 0.662950i | ||||||
0.748664 | + | 0.662950i | ||||||||
0 | 0 | |||||||||
13.6410 | 0.629881 | |||||||||
−2.45161 | − | 4.24631i | −0.113084 | − | 0.195867i | |||||
0 | 0 | |||||||||
9.97481 | − | 17.2769i | 0.459128 | − | 0.795233i | |||||
55.1338 | 2.53506 | |||||||||
0 | 0 | |||||||||
−1.07382 | + | 1.85991i | −0.0492703 | + | 0.0853387i | |||||
−40.0098 | −1.83385 | |||||||||
0 | 0 | |||||||||
21.0716 | + | 36.4971i | 0.963792 | + | 1.66934i | |||||
2.96666 | + | 5.13841i | 0.135550 | + | 0.234780i | 0.925808 | − | 0.377995i | ||
−0.790257 | + | 0.612775i | ||||||||
0 | 0 | |||||||||
15.9541 | − | 6.28239i | 0.727443 | − | 0.286452i | |||||
−51.5526 | −2.34816 | |||||||||
0 | 0 | |||||||||
−32.9726 | − | 57.1102i | −1.49875 | − | 2.59592i | |||||
−2.12544 | + | 3.68137i | −0.0965114 | + | 0.167163i | |||||
0 | 0 | |||||||||
2.42149 | − | 4.19415i | 0.109728 | − | 0.190055i | −0.805932 | − | 0.592008i | ||
0.915660 | + | 0.401953i | ||||||||
5.28100 | − | 9.14695i | 0.239059 | − | 0.414063i | |||||
0 | 0 | |||||||||
8.54617 | − | 14.8024i | 0.386077 | − | 0.668704i | |||||
0.0382604 | + | 0.0662690i | 0.00172667 | + | 0.00299068i | 0.866887 | − | 0.498504i | ||
−0.865161 | + | 0.501495i | ||||||||
0 | 0 | |||||||||
−7.42372 | −0.334347 | |||||||||
−2.53633 | + | 16.9578i | −0.114115 | + | 0.762968i | |||||
0 | 0 | |||||||||
−3.63804 | − | 6.30127i | −0.163353 | − | 0.282935i | |||||
−11.0104 | − | 19.0705i | −0.493883 | − | 0.855430i | |||||
0 | 0 | |||||||||
38.0687 | 1.70419 | 0.852094 | − | 0.523388i | ||||||
0.852094 | + | 0.523388i | ||||||||
−1.45161 | + | 2.51426i | −0.0649178 | + | 0.112441i | |||||
0 | 0 | |||||||||
−59.1753 | −2.64112 | |||||||||
6.62714 | − | 11.4785i | 0.295489 | − | 0.511803i | −0.679609 | − | 0.733574i | ||
0.975099 | + | 0.221772i | ||||||||
0 | 0 | |||||||||
−1.11753 | − | 1.93562i | −0.0497295 | − | 0.0861340i | |||||
80.1659 | 3.56381 | |||||||||
0 | 0 | |||||||||
55.9037 | 2.48033 | |||||||||
−14.2351 | − | 24.6559i | −0.630958 | − | 1.09285i | −0.987356 | − | 0.158517i | ||
0.356398 | − | 0.934334i | ||||||||
0 | 0 | |||||||||
−5.34368 | + | 9.25553i | −0.236391 | + | 0.409440i | |||||
−15.2257 | −0.672887 | |||||||||
0 | 0 | |||||||||
13.1963 | − | 22.8566i | 0.582063 | − | 1.00816i | |||||
−2.44446 | −0.107716 | |||||||||
0 | 0 | |||||||||
−6.42864 | − | 11.1347i | −0.282731 | − | 0.489705i | |||||
20.2000 | + | 34.9875i | 0.887538 | + | 1.53726i | |||||
0 | 0 | |||||||||
−1.06668 | + | 7.13177i | −0.0467769 | + | 0.312749i | |||||
−17.1175 | −0.749933 | −0.374966 | − | 0.927038i | ||||||
−0.374966 | + | 0.927038i | ||||||||
0 | 0 | |||||||||
−0.0666765 | − | 0.115487i | −0.00291556 | − | 0.00504990i | 0.864564 | − | 0.502523i | ||
−0.867480 | + | 0.497473i | ||||||||
19.4701 | − | 33.7232i | 0.850556 | − | 1.47321i | |||||
0 | 0 | |||||||||
−17.6358 | + | 30.5461i | −0.768958 | + | 1.33187i | |||||
9.48494 | − | 16.4284i | 0.413171 | − | 0.715633i | |||||
0 | 0 | |||||||||
−7.93801 | + | 13.7490i | −0.345131 | + | 0.597784i | |||||
0.903212 | + | 1.56441i | 0.0392330 | + | 0.0679536i | |||||
0 | 0 | |||||||||
−23.9210 | −1.03711 | |||||||||
−37.2973 | + | 14.6869i | −1.61553 | + | 0.636161i | |||||
0 | 0 | |||||||||
0.826164 | + | 1.43096i | 0.0357182 | + | 0.0618657i | |||||
−3.55554 | − | 6.15837i | −0.153576 | − | 0.266001i | |||||
0 | 0 | |||||||||
−21.2301 | −0.915296 | |||||||||
22.4099 | − | 38.8151i | 0.965263 | − | 1.67188i | |||||
0 | 0 | |||||||||
−26.3876 | −1.13449 | −0.567246 | − | 0.823548i | ||||||
−0.567246 | + | 0.823548i | ||||||||
15.1946 | − | 26.3178i | 0.652663 | − | 1.13045i | |||||
0 | 0 | |||||||||
−12.6637 | − | 21.9342i | −0.542952 | − | 0.940420i | |||||
−2.61285 | −0.111922 | |||||||||
0 | 0 | |||||||||
−0.0573086 | −0.00245034 | −0.00122517 | − | 0.999999i | ||||||
−0.00122517 | + | 0.999999i | ||||||||
−6.87310 | − | 11.9046i | −0.293604 | − | 0.508538i | |||||
0 | 0 | |||||||||
−6.42864 | + | 11.1347i | −0.274118 | + | 0.474786i | |||||
−4.43848 | −0.189086 | |||||||||
0 | 0 | |||||||||
23.6558 | − | 40.9730i | 1.00595 | − | 1.74235i | |||||
−26.1432 | −1.11072 | |||||||||
0 | 0 | |||||||||
16.0279 | + | 27.7611i | 0.679734 | + | 1.17733i | |||||
20.5210 | + | 35.5434i | 0.869502 | + | 1.50602i | 0.862507 | + | 0.506046i | ||
0.00699538 | + | 0.999976i | ||||||||
0 | 0 | |||||||||
−26.7908 | − | 21.3154i | −1.13313 | − | 0.901543i | |||||
5.28592 | 0.223371 | |||||||||
0 | 0 | |||||||||
11.9469 | + | 20.6927i | 0.503950 | + | 0.872868i | |||||
10.6128 | − | 18.3820i | 0.447278 | − | 0.774709i | −0.550930 | − | 0.834552i | ||
0.998208 | + | 0.0598432i | ||||||||
0 | 0 | |||||||||
1.21432 | − | 2.10326i | 0.0510868 | − | 0.0884850i | |||||
−34.5385 | + | 59.8224i | −1.45176 | + | 2.51452i | |||||
0 | 0 | |||||||||
−5.73975 | + | 9.94153i | −0.240834 | + | 0.417137i | |||||
8.18098 | + | 14.1699i | 0.342965 | + | 0.594032i | 0.984982 | − | 0.172658i | ||
−0.642017 | + | 0.766690i | ||||||||
0 | 0 | |||||||||
−37.7101 | −1.57812 | −0.789060 | − | 0.614317i | ||||||
−0.789060 | + | 0.614317i | ||||||||
−8.99063 | + | 60.1112i | −0.375917 | + | 2.51337i | |||||
0 | 0 | |||||||||
−47.2235 | − | 81.7935i | −1.97107 | − | 3.41399i | |||||
−3.11753 | − | 5.39972i | −0.130010 | − | 0.225184i | |||||
0 | 0 | |||||||||
42.7150 | 1.77825 | 0.889125 | − | 0.457664i | ||||||
0.889125 | + | 0.457664i | ||||||||
−4.53580 | + | 7.85623i | −0.188664 | + | 0.326776i | |||||
0 | 0 | |||||||||
−6.00000 | −0.249136 | |||||||||
−1.19358 | + | 2.06733i | −0.0495179 | + | 0.0857675i | |||||
0 | 0 | |||||||||
2.36842 | + | 4.10222i | 0.0980898 | + | 0.169896i | |||||
5.57136 | 0.230545 | |||||||||
0 | 0 | |||||||||
13.1066 | 0.541430 | |||||||||
4.81187 | + | 8.33441i | 0.198607 | + | 0.343998i | 0.948077 | − | 0.318041i | ||
−0.749470 | + | 0.662039i | ||||||||
0 | 0 | |||||||||
5.67085 | − | 9.82220i | 0.233663 | − | 0.404717i | |||||
−22.0874 | −0.909325 | |||||||||
0 | 0 | |||||||||
−3.27607 | + | 5.67433i | −0.134646 | + | 0.233213i | |||||
24.5018 | 1.00617 | 0.503084 | − | 0.864238i | ||||||
0.503084 | + | 0.864238i | ||||||||
0 | 0 | |||||||||
6.89062 | + | 11.9349i | 0.282488 | + | 0.489283i | |||||
−2.90321 | − | 5.02851i | −0.118920 | − | 0.205976i | |||||
0 | 0 | |||||||||
−38.9545 | − | 30.9930i | −1.59297 | − | 1.26740i | |||||
16.9654 | 0.693189 | 0.346595 | − | 0.938015i | ||||||
0.346595 | + | 0.938015i | ||||||||
0 | 0 | |||||||||
10.7835 | + | 18.6775i | 0.439866 | + | 0.761871i | 0.997679 | − | 0.0680961i | ||
−0.557812 | + | 0.829967i | ||||||||
40.3329 | − | 69.8586i | 1.64384 | − | 2.84722i | |||||
0 | 0 | |||||||||
−12.7906 | + | 22.1540i | −0.520442 | + | 0.901432i | |||||
−11.3573 | + | 19.6714i | −0.461739 | + | 0.799755i | |||||
0 | 0 | |||||||||
9.99285 | − | 17.3081i | 0.405597 | − | 0.702515i | −0.588793 | − | 0.808284i | ||
0.994391 | + | 0.105768i | ||||||||
−7.57136 | − | 13.1140i | −0.307059 | − | 0.531842i | |||||
0 | 0 | |||||||||
−11.6938 | −0.473469 | |||||||||
−1.18098 | + | 7.89601i | −0.0477774 | + | 0.319439i | |||||
0 | 0 | |||||||||
−5.60001 | − | 9.69951i | −0.226182 | − | 0.391760i | 0.730491 | − | 0.682922i | ||
−0.956674 | + | 0.291163i | ||||||||
16.1509 | + | 27.9741i | 0.651796 | + | 1.12894i | |||||
0 | 0 | |||||||||
−44.5531 | −1.79510 | |||||||||
0.295286 | − | 0.511451i | 0.0118878 | − | 0.0205902i | −0.860020 | − | 0.510260i | ||
0.871908 | + | 0.489670i | ||||||||
0 | 0 | |||||||||
−12.2573 | −0.492664 | −0.246332 | − | 0.969186i | ||||||
−0.246332 | + | 0.969186i | ||||||||
7.66593 | − | 13.2778i | 0.307871 | − | 0.533248i | |||||
0 | 0 | |||||||||
−19.9010 | − | 34.4695i | −0.797957 | − | 1.38210i | |||||
−62.0306 | −2.48520 | |||||||||
0 | 0 | |||||||||
1.00000 | 0.0400000 | |||||||||
−6.41112 | − | 11.1044i | −0.256240 | − | 0.443821i | |||||
0 | 0 | |||||||||
3.97703 | − | 6.88842i | 0.158701 | − | 0.274878i | |||||
−17.0825 | −0.681124 | |||||||||
0 | 0 | |||||||||
−18.3200 | + | 31.7312i | −0.729309 | + | 1.26320i | 0.227867 | + | 0.973692i | ||
−0.957176 | + | 0.289507i | ||||||||
−24.6637 | −0.981069 | |||||||||
0 | 0 | |||||||||
−5.29682 | − | 9.17436i | −0.210364 | − | 0.364360i | |||||
−9.62790 | − | 16.6760i | −0.382072 | − | 0.661768i | |||||
0 | 0 | |||||||||
−25.8959 | + | 10.1973i | −1.02603 | + | 0.404030i | |||||
−26.5718 | −1.05199 | |||||||||
0 | 0 | |||||||||
−7.18421 | − | 12.4434i | −0.283981 | − | 0.491869i | |||||
−10.5827 | + | 18.3298i | −0.417993 | + | 0.723985i | −0.995737 | − | 0.0922326i | ||
0.577745 | + | 0.816218i | ||||||||
0 | 0 | |||||||||
−6.09602 | + | 10.5586i | −0.240404 | + | 0.416391i | −0.960829 | − | 0.277141i | ||
0.720426 | + | 0.693532i | ||||||||
34.7239 | − | 60.1436i | 1.36831 | − | 2.36999i | |||||
0 | 0 | |||||||||
8.54125 | − | 14.7939i | 0.336051 | − | 0.582057i | |||||
4.73038 | + | 8.19326i | 0.185970 | + | 0.322110i | 0.943903 | − | 0.330223i | ||
−0.757933 | + | 0.652333i | ||||||||
0 | 0 | |||||||||
−57.9180 | −2.27348 | |||||||||
7.42864 | − | 2.92525i | 0.291375 | − | 0.114738i | |||||
0 | 0 | |||||||||
35.8457 | + | 62.0866i | 1.40383 | + | 2.43150i | |||||
10.1995 | + | 17.6661i | 0.399137 | + | 0.691326i | 0.993620 | − | 0.112782i | ||
−0.594482 | + | 0.804109i | ||||||||
0 | 0 | |||||||||
−13.4128 | −0.524082 | |||||||||
7.65878 | − | 13.2654i | 0.299025 | − | 0.517927i | |||||
0 | 0 | |||||||||
−18.8113 | −0.733343 | |||||||||
17.4859 | − | 30.2866i | 0.681156 | − | 1.17980i | −0.293473 | − | 0.955967i | ||
0.974628 | − | 0.223829i | ||||||||
0 | 0 | |||||||||
9.73014 | + | 16.8531i | 0.378459 | + | 0.655510i | 0.990838 | − | 0.135054i | ||
−0.612380 | + | 0.790564i | ||||||||
−5.91903 | −0.230050 | |||||||||
0 | 0 | |||||||||
1.24443 | 0.0482933 | |||||||||
4.11975 | + | 7.13562i | 0.159757 | + | 0.276708i | |||||
0 | 0 | |||||||||
6.44293 | − | 11.1595i | 0.249471 | − | 0.432097i | |||||
−22.9590 | −0.888310 | |||||||||
0 | 0 | |||||||||
−3.93655 | + | 6.81830i | −0.152082 | + | 0.263414i | |||||
−30.6637 | −1.18376 | |||||||||
0 | 0 | |||||||||
−7.13259 | − | 12.3540i | −0.274941 | − | 0.476212i | 0.695179 | − | 0.718836i | ||
−0.970120 | + | 0.242625i | ||||||||
−32.1464 | − | 55.6792i | −1.23823 | − | 2.14468i | |||||
0 | 0 | |||||||||
27.6084 | − | 25.7336i | 1.06186 | − | 0.989752i | |||||
34.0415 | 1.30832 | 0.654160 | − | 0.756356i | ||||||
0.654160 | + | 0.756356i | ||||||||
0 | 0 | |||||||||
8.15433 | + | 14.1237i | 0.312935 | + | 0.542019i | |||||
3.59210 | − | 6.22171i | 0.137751 | − | 0.238592i | |||||
0 | 0 | |||||||||
33.9496 | − | 58.8025i | 1.30000 | − | 2.25166i | |||||
14.6692 | − | 25.4077i | 0.561300 | − | 0.972199i | −0.436084 | − | 0.899906i | ||
0.997383 | − | 0.0722933i | ||||||||
0 | 0 | |||||||||
−2.36741 | + | 4.10048i | −0.0904542 | + | 0.156671i | |||||
−3.05408 | − | 5.28982i | −0.116605 | − | 0.201966i | |||||
0 | 0 | |||||||||
13.0825 | 0.498766 | |||||||||
0.435093 | − | 2.90902i | 0.0165757 | − | 0.110825i | |||||
0 | 0 | |||||||||
−1.59457 | − | 2.76187i | −0.0606601 | − | 0.105066i | 0.834101 | − | 0.551612i | ||
−0.894761 | + | 0.446546i | ||||||||
−5.30174 | − | 9.18288i | −0.201542 | − | 0.349081i | |||||
0 | 0 | |||||||||
62.6834 | 2.37943 | |||||||||
5.52074 | − | 9.56221i | 0.209414 | − | 0.362715i | |||||
0 | 0 | |||||||||
39.9353 | 1.51266 | |||||||||
−35.4805 | + | 61.4540i | −1.34296 | + | 2.32607i | |||||
0 | 0 | |||||||||
5.56914 | + | 9.64603i | 0.210494 | + | 0.364586i | |||||
−2.44738 | −0.0924361 | −0.0462180 | − | 0.998931i | ||||||
−0.0462180 | + | 0.998931i | ||||||||
0 | 0 | |||||||||
−10.2133 | −0.385201 | |||||||||
−37.3274 | − | 64.6530i | −1.40683 | − | 2.43670i | |||||
0 | 0 | |||||||||
16.0415 | − | 27.7847i | 0.603729 | − | 1.04569i | |||||
−8.57490 | −0.322492 | |||||||||
0 | 0 | |||||||||
0.301502 | − | 0.522216i | 0.0113231 | − | 0.0196122i | −0.860308 | − | 0.509774i | ||
0.871631 | + | 0.490162i | ||||||||
12.7096 | 0.476984 | |||||||||
0 | 0 | |||||||||
16.1684 | + | 28.0045i | 0.605936 | + | 1.04951i | |||||
16.4637 | + | 28.5159i | 0.616569 | + | 1.06793i | |||||
0 | 0 | |||||||||
19.4795 | − | 7.67063i | 0.728492 | − | 0.286865i | |||||
16.9590 | 0.633787 | |||||||||
0 | 0 | |||||||||
26.8709 | + | 46.5417i | 1.00281 | + | 1.73692i | |||||
21.7988 | − | 37.7565i | 0.812956 | − | 1.40808i | −0.0978299 | − | 0.995203i | ||
0.910786 | − | 0.412878i | ||||||||
0 | 0 | |||||||||
−4.68913 | + | 8.12181i | −0.174632 | + | 0.302472i | |||||
−15.9294 | + | 27.5905i | −0.592831 | + | 1.02681i | |||||
0 | 0 | |||||||||
−14.6430 | + | 25.3623i | −0.544201 | + | 0.942584i | |||||
1.03334 | + | 1.78979i | 0.0383772 | + | 0.0664713i | |||||
0 | 0 | |||||||||
32.8642 | 1.21887 | 0.609433 | − | 0.792838i | ||||||
0.609433 | + | 0.792838i | ||||||||
21.6494 | + | 17.2247i | 0.802381 | + | 0.638391i | |||||
0 | 0 | |||||||||
−3.08419 | − | 5.34198i | −0.114151 | − | 0.197716i | |||||
17.0541 | + | 29.5385i | 0.630768 | + | 1.09252i | |||||
0 | 0 | |||||||||
17.4035 | 0.642811 | 0.321406 | − | 0.946942i | ||||||
0.321406 | + | 0.946942i | ||||||||
−2.47780 | + | 4.29167i | −0.0914572 | + | 0.158409i | |||||
0 | 0 | |||||||||
43.9625 | 1.62048 | |||||||||
−10.3225 | + | 17.8791i | −0.380234 | + | 0.658584i | |||||
0 | 0 | |||||||||
−21.2924 | − | 36.8795i | −0.783253 | − | 1.35663i | −0.930037 | − | 0.367465i | ||
0.146785 | − | 0.989168i | ||||||||
−13.8064 | −0.507534 | |||||||||
0 | 0 | |||||||||
6.93041 | 0.254423 | |||||||||
−16.4232 | − | 28.4458i | −0.602508 | − | 1.04358i | −0.992440 | − | 0.122731i | ||
0.389932 | − | 0.920844i | ||||||||
0 | 0 | |||||||||
−1.00000 | + | 1.73205i | −0.0366372 | + | 0.0634574i | |||||
−62.2514 | −2.27918 | |||||||||
0 | 0 | |||||||||
30.2766 | − | 52.4405i | 1.10702 | − | 1.91742i | |||||
6.33921 | 0.231630 | |||||||||
0 | 0 | |||||||||
−6.23729 | − | 10.8033i | −0.227602 | − | 0.394218i | 0.729495 | − | 0.683986i | ||
−0.957097 | + | 0.289768i | ||||||||
−1.52543 | − | 2.64212i | −0.0556266 | − | 0.0963481i | |||||
0 | 0 | |||||||||
12.9119 | + | 10.2730i | 0.470223 | + | 0.374119i | |||||
8.81135 | 0.320678 | |||||||||
0 | 0 | |||||||||
2.43732 | + | 4.22155i | 0.0885858 | + | 0.153435i | 0.906914 | − | 0.421317i | ||
−0.818328 | + | 0.574752i | ||||||||
−21.7200 | + | 37.6202i | −0.788906 | + | 1.36643i | |||||
0 | 0 | |||||||||
2.14764 | − | 3.71983i | 0.0779032 | − | 0.134932i | |||||
−2.05086 | + | 3.55219i | −0.0743434 | + | 0.128767i | −0.900801 | − | 0.434233i | ||
0.826457 | + | 0.563000i | ||||||||
0 | 0 | |||||||||
−5.01214 | + | 8.68128i | −0.181452 | + | 0.314284i | |||||
23.1891 | + | 40.1648i | 0.838953 | + | 1.45311i | |||||
0 | 0 | |||||||||
−43.0464 | −1.55533 | |||||||||
28.1437 | + | 22.3917i | 1.01621 | + | 0.808519i | |||||
0 | 0 | |||||||||
24.0486 | + | 41.6535i | 0.867216 | + | 1.50206i | 0.864830 | + | 0.502065i | ||
0.00238584 | + | 0.999997i | ||||||||
24.6637 | + | 42.7188i | 0.888818 | + | 1.53948i | |||||
0 | 0 | |||||||||
−10.7511 | −0.386941 | |||||||||
9.09679 | − | 15.7561i | 0.327189 | − | 0.566707i | −0.654764 | − | 0.755833i | ||
0.981953 | + | 0.189126i | ||||||||
0 | 0 | |||||||||
−5.28100 | −0.189699 | |||||||||
4.25088 | − | 7.36275i | 0.152598 | − | 0.264307i | |||||
0 | 0 | |||||||||
3.11753 | + | 5.39972i | 0.111769 | + | 0.193589i | |||||
23.8765 | 0.855464 | |||||||||
0 | 0 | |||||||||
33.3274 | 1.19255 | |||||||||
24.7971 | + | 42.9498i | 0.886741 | + | 1.53588i | |||||
0 | 0 | |||||||||
5.31756 | − | 9.21029i | 0.189913 | − | 0.328939i | |||||
−2.73975 | −0.0977858 | |||||||||
0 | 0 | |||||||||
14.6486 | − | 25.3722i | 0.522168 | − | 0.904421i | −0.477500 | − | 0.878632i | ||
0.999667 | − | 0.0257893i | ||||||||
−47.6040 | −1.69582 | |||||||||
0 | 0 | |||||||||
13.6533 | + | 23.6483i | 0.485764 | + | 0.841367i | |||||
−4.65878 | − | 8.06924i | −0.165647 | − | 0.286909i | |||||
0 | 0 | |||||||||
14.9002 | + | 11.8549i | 0.529122 | + | 0.420981i | |||||
28.0765 | 0.996398 | |||||||||
0 | 0 | |||||||||
−7.68667 | − | 13.3137i | −0.272447 | − | 0.471892i | |||||
13.4390 | − | 23.2771i | 0.476034 | − | 0.824515i | −0.523589 | − | 0.851971i | ||
0.999623 | + | 0.0274557i | ||||||||
0 | 0 | |||||||||
3.97703 | − | 6.88842i | 0.140697 | − | 0.243695i | |||||
−3.52543 | + | 6.10622i | −0.124643 | + | 0.215887i | |||||
0 | 0 | |||||||||
−1.00492 | + | 1.74058i | −0.0354850 | + | 0.0614619i | |||||
−8.08742 | − | 14.0078i | −0.285399 | − | 0.494325i | |||||
0 | 0 | |||||||||
−23.9210 | −0.843106 | |||||||||
−39.2306 | + | 15.4482i | −1.38184 | + | 0.544140i | |||||
0 | 0 | |||||||||
2.23506 | + | 3.87124i | 0.0786293 | + | 0.136190i | |||||
−14.2286 | − | 24.6447i | −0.500251 | − | 0.866461i | −1.00000 | 0.000290180i | |||
0.499749 | − | 0.866170i | ||||||||
0 | 0 | |||||||||
−16.6316 | −0.584014 | −0.292007 | − | 0.956416i | ||||||
−0.292007 | + | 0.956416i | ||||||||
−11.5096 | + | 19.9352i | −0.403908 | + | 0.699589i | |||||
0 | 0 | |||||||||
−61.1437 | −2.14308 | |||||||||
12.3469 | − | 21.3855i | 0.432493 | − | 0.749100i | |||||
0 | 0 | |||||||||
10.1963 | + | 17.6605i | 0.356723 | + | 0.617862i | |||||
74.3486 | 2.59954 | |||||||||
0 | 0 | |||||||||
32.2766 | 1.12715 | |||||||||
−17.4844 | − | 30.2839i | −0.610210 | − | 1.05692i | −0.991205 | − | 0.132338i | ||
0.380994 | − | 0.924577i | ||||||||
0 | 0 | |||||||||
−9.33185 | + | 16.1632i | −0.325288 | + | 0.563415i | −0.981571 | − | 0.191100i | ||
0.656283 | + | 0.754515i | ||||||||
4.88892 | 0.170314 | |||||||||
0 | 0 | |||||||||
−42.3696 | + | 73.3863i | −1.47423 | + | 2.55344i | |||||
−21.2968 | −0.740563 | −0.370281 | − | 0.928920i | ||||||
−0.370281 | + | 0.928920i | ||||||||
0 | 0 | |||||||||
3.59610 | + | 6.22862i | 0.124898 | + | 0.216329i | 0.921693 | − | 0.387920i | ||
−0.796795 | + | 0.604249i | ||||||||
−0.688892 | − | 1.19320i | −0.0239118 | − | 0.0414164i | |||||
0 | 0 | |||||||||
−6.85728 | + | 45.8476i | −0.237733 | + | 1.58948i | |||||
27.7275 | 0.960700 | |||||||||
0 | 0 | |||||||||
3.95407 | + | 6.84865i | 0.136836 | + | 0.237007i | |||||
18.1017 | − | 31.3531i | 0.626061 | − | 1.08437i | |||||
0 | 0 | |||||||||
−25.4121 | + | 44.0151i | −0.877847 | + | 1.52048i | |||||
−0.790602 | + | 1.36936i | −0.0272946 | + | 0.0472757i | −0.879350 | − | 0.476176i | ||
0.852055 | + | 0.523452i | ||||||||
0 | 0 | |||||||||
12.3644 | − | 21.4158i | 0.426359 | − | 0.738476i | |||||
−34.4187 | − | 59.6150i | −1.18615 | − | 2.05447i | |||||
0 | 0 | |||||||||
23.1985 | 0.798525 | |||||||||
−12.4311 | − | 3.80365i | −0.427643 | − | 0.130849i | |||||
0 | 0 | |||||||||
43.5726 | + | 75.4700i | 1.49717 | + | 2.59318i | |||||
0.561993 | + | 0.973400i | 0.0192989 | + | 0.0334267i | |||||
0 | 0 | |||||||||
−7.95407 | −0.272822 | |||||||||
14.8256 | − | 25.6788i | 0.508216 | − | 0.880256i | |||||
0 | 0 | |||||||||
−23.0207 | −0.788215 | −0.394108 | − | 0.919064i | ||||||
−0.394108 | + | 0.919064i | ||||||||
−22.4319 | + | 38.8531i | −0.767603 | + | 1.32953i | |||||
0 | 0 | |||||||||
−1.65233 | − | 2.86191i | −0.0564754 | − | 0.0978182i | |||||
−47.4499 | −1.62086 | −0.810428 | − | 0.585838i | ||||||
−0.810428 | + | 0.585838i | ||||||||
0 | 0 | |||||||||
−49.0241 | −1.67268 | −0.836341 | − | 0.548210i | ||||||
−0.836341 | + | 0.548210i | ||||||||
13.7835 | + | 23.8736i | 0.470012 | + | 0.814085i | |||||
0 | 0 | |||||||||
−18.8780 | + | 32.6977i | −0.642988 | + | 1.11369i | |||||
37.3590 | 1.27172 | 0.635858 | − | 0.771806i | ||||||
0.635858 | + | 0.771806i | ||||||||
0 | 0 | |||||||||
−1.82616 | + | 3.16301i | −0.0620914 | + | 0.107546i | |||||
5.73975 | 0.195045 | |||||||||
0 | 0 | |||||||||
−29.4106 | − | 50.9406i | −0.998261 | − | 1.72904i | |||||
35.8020 | + | 62.0108i | 1.21450 | + | 2.10357i | |||||
0 | 0 | |||||||||
11.9282 | − | 4.69708i | 0.404171 | − | 0.159154i | |||||
5.22570 | 0.176964 | |||||||||
0 | 0 | |||||||||
14.8256 | + | 25.6788i | 0.501485 | + | 0.868597i | |||||
1.91827 | − | 3.32254i | 0.0648493 | − | 0.112322i | |||||
0 | 0 | |||||||||
−10.3985 | + | 18.0108i | −0.351133 | + | 0.608181i | −0.986448 | − | 0.164072i | ||
0.635315 | + | 0.772253i | ||||||||
−15.2454 | + | 26.4059i | −0.514509 | + | 0.891155i | |||||
0 | 0 | |||||||||
−4.00000 | + | 6.92820i | −0.134840 | + | 0.233550i | |||||
14.8780 | + | 25.7695i | 0.501253 | + | 0.868196i | 0.999999 | + | 0.00144781i | ||
−0.498746 | + | 0.866748i | ||||||||
0 | 0 | |||||||||
−40.5975 | −1.36621 | −0.683107 | − | 0.730318i | ||||||
−0.683107 | + | 0.730318i | ||||||||
−34.9862 | + | 13.7768i | −1.17671 | + | 0.463366i | |||||
0 | 0 | |||||||||
−5.22146 | − | 9.04384i | −0.175419 | − | 0.303834i | |||||
24.2153 | + | 41.9422i | 0.813071 | + | 1.40828i | 0.910705 | + | 0.413058i | ||
−0.0976338 | + | 0.995222i | ||||||||
0 | 0 | |||||||||
−73.8756 | −2.47771 | |||||||||
17.9010 | − | 31.0054i | 0.600043 | − | 1.03930i | |||||
0 | 0 | |||||||||
−27.2257 | −0.911584 | |||||||||
2.37778 | − | 4.11844i | 0.0795695 | − | 0.137818i | |||||
0 | 0 | |||||||||
−2.92073 | − | 5.05885i | −0.0976292 | − | 0.169099i | |||||
−55.1249 | −1.84159 | |||||||||
0 | 0 | |||||||||
−22.8889 | −0.763813 | |||||||||
−5.45706 | − | 9.45190i | −0.182003 | − | 0.315238i | |||||
0 | 0 | |||||||||
−1.46520 | + | 2.53781i | −0.0488130 | + | 0.0845467i | |||||
142.941 | 4.75942 | |||||||||
0 | 0 | |||||||||
−2.42864 | + | 4.20653i | −0.0807753 | + | 0.139907i | |||||
10.0874 | 0.335317 | |||||||||
0 | 0 | |||||||||
5.14987 | + | 8.91983i | 0.170998 | + | 0.296178i | 0.938769 | − | 0.344547i | ||
−0.767771 | + | 0.640725i | ||||||||
20.9146 | + | 36.2251i | 0.694075 | + | 1.20217i | |||||
0 | 0 | |||||||||
4.53088 | − | 30.2933i | 0.150197 | − | 1.00421i | |||||
−7.35905 | −0.243816 | −0.121908 | − | 0.992541i | ||||||
−0.121908 | + | 0.992541i | ||||||||
0 | 0 | |||||||||
−1.80642 | − | 3.12882i | −0.0597839 | − | 0.103549i | |||||
−21.7321 | + | 37.6411i | −0.718833 | + | 1.24506i | |||||
0 | 0 | |||||||||
26.0622 | − | 45.1411i | 0.861120 | − | 1.49150i | |||||
−25.7294 | + | 44.5646i | −0.849659 | + | 1.47165i | |||||
0 | 0 | |||||||||
−0.391383 | + | 0.677895i | −0.0129105 | + | 0.0223617i | −0.872408 | − | 0.488777i | ||
0.859498 | + | 0.511139i | ||||||||
6.23506 | + | 10.7994i | 0.205564 | + | 0.356047i | |||||
0 | 0 | |||||||||
55.8020 | 1.83774 | |||||||||
−16.1946 | − | 12.8847i | −0.533051 | − | 0.424107i | |||||
0 | 0 | |||||||||
2.37778 | + | 4.11844i | 0.0781811 | + | 0.135414i | |||||
31.9005 | + | 55.2532i | 1.04831 | + | 1.81573i | |||||
0 | 0 | |||||||||
−14.5718 | −0.478344 | |||||||||
−14.2208 | + | 24.6311i | −0.466568 | + | 0.808120i | −0.999271 | − | 0.0381824i | ||
0.532702 | + | 0.846303i | ||||||||
0 | 0 | |||||||||
16.5777 | 0.543311 | |||||||||
39.9496 | − | 69.1948i | 1.30859 | − | 2.26655i | |||||
0 | 0 | |||||||||
35.8249 | + | 62.0506i | 1.17223 | + | 2.03036i | |||||
−20.8573 | −0.682106 | |||||||||
0 | 0 | |||||||||
−21.3747 | −0.698282 | −0.349141 | − | 0.937070i | ||||||
−0.349141 | + | 0.937070i | ||||||||
15.1027 | + | 26.1587i | 0.493121 | + | 0.854111i | |||||
0 | 0 | |||||||||
3.21432 | − | 5.56737i | 0.104840 | − | 0.181587i | |||||
38.2830 | 1.24799 | 0.623995 | − | 0.781428i | ||||||
0.623995 | + | 0.781428i | ||||||||
0 | 0 | |||||||||
−34.6593 | + | 60.0316i | −1.12866 | + | 1.95490i | |||||
−13.7431 | −0.447301 | |||||||||
0 | 0 | |||||||||
61.0420 | + | 105.728i | 1.98465 | + | 3.43751i | |||||
3.80251 | + | 6.58613i | 0.123565 | + | 0.214021i | 0.921171 | − | 0.389158i | ||
−0.797606 | + | 0.603179i | ||||||||
0 | 0 | |||||||||
−1.48571 | + | 9.93342i | −0.0482282 | + | 0.322452i | |||||
−4.75557 | −0.154291 | |||||||||
0 | 0 | |||||||||
−13.7812 | − | 23.8698i | −0.446652 | − | 0.773625i | |||||
−16.6780 | + | 28.8871i | −0.540253 | + | 0.935746i | 0.458636 | + | 0.888624i | ||
−0.998889 | + | 0.0471217i | ||||||||
0 | 0 | |||||||||
7.98741 | − | 13.8346i | 0.258466 | − | 0.447677i | |||||
−27.6271 | + | 47.8516i | −0.893525 | + | 1.54763i | |||||
0 | 0 | |||||||||
−6.56914 | + | 11.3781i | −0.212239 | + | 0.367609i | |||||
9.08266 | + | 15.7316i | 0.293294 | + | 0.508001i | |||||
0 | 0 | |||||||||
−3.11108 | −0.100357 | |||||||||
29.7112 | + | 23.6388i | 0.957926 | + | 0.762146i | |||||
0 | 0 | |||||||||
−33.7955 | − | 58.5356i | −1.08848 | − | 1.88530i | |||||
1.85159 | + | 3.20705i | 0.0596048 | + | 0.103239i | |||||
0 | 0 | |||||||||
−40.8988 | −1.31522 | −0.657608 | − | 0.753360i | ||||||
−0.657608 | + | 0.753360i | ||||||||
22.7146 | − | 39.3428i | 0.730074 | − | 1.26452i | |||||
0 | 0 | |||||||||
−9.41282 | −0.302227 | |||||||||
−2.11753 | + | 3.66767i | −0.0679548 | + | 0.117701i | −0.898001 | − | 0.439994i | ||
0.830046 | + | 0.557695i | ||||||||
0 | 0 | |||||||||
−21.1805 | − | 36.6858i | −0.679017 | − | 1.17609i | |||||
10.7239 | 0.343617 | |||||||||
0 | 0 | |||||||||
−7.27607 | −0.232901 | |||||||||
−19.3941 | − | 33.5915i | −0.620472 | − | 1.07469i | −0.989398 | − | 0.145230i | ||
0.368926 | − | 0.929459i | ||||||||
0 | 0 | |||||||||
46.9403 | − | 81.3029i | 1.50022 | − | 2.59845i | |||||
22.4099 | 0.715858 | |||||||||
0 | 0 | |||||||||
−0.0847209 | + | 0.146741i | −0.00270355 | + | 0.00468269i | |||||
−21.4479 | −0.684080 | −0.342040 | − | 0.939685i | ||||||
−0.342040 | + | 0.939685i | ||||||||
0 | 0 | |||||||||
8.19850 | + | 14.2002i | 0.261226 | + | 0.452456i | |||||
−8.21924 | − | 14.2361i | −0.261754 | − | 0.453371i | |||||
0 | 0 | |||||||||
−20.9175 | + | 8.23689i | −0.665474 | + | 0.262050i | |||||
−59.2039 | −1.88257 | |||||||||
0 | 0 | |||||||||
5.65010 | + | 9.78627i | 0.179481 | + | 0.310871i | 0.941703 | − | 0.336445i | ||
−0.762222 | + | 0.647316i | ||||||||
18.6178 | − | 32.2469i | 0.591115 | − | 1.02384i | |||||
0 | 0 | |||||||||
24.3805 | − | 42.2282i | 0.773302 | − | 1.33940i | |||||
−2.64764 | + | 4.58585i | −0.0839359 | + | 0.145381i | |||||
0 | 0 | |||||||||
27.1123 | − | 46.9599i | 0.858656 | − | 1.48724i | −0.0145557 | − | 0.999894i | ||
0.873212 | − | 0.487341i | ||||||||
42.1481 | + | 73.0027i | 1.33418 | + | 2.31086i | |||||
0 | 0 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 585.2.j.g.406.3 | 6 | ||
3.2 | odd | 2 | 195.2.i.e.16.1 | ✓ | 6 | ||
13.3 | even | 3 | 7605.2.a.bu.1.1 | 3 | |||
13.9 | even | 3 | inner | 585.2.j.g.451.3 | 6 | ||
13.10 | even | 6 | 7605.2.a.bt.1.3 | 3 | |||
15.2 | even | 4 | 975.2.bb.j.874.6 | 12 | |||
15.8 | even | 4 | 975.2.bb.j.874.1 | 12 | |||
15.14 | odd | 2 | 975.2.i.m.601.3 | 6 | |||
39.23 | odd | 6 | 2535.2.a.z.1.1 | 3 | |||
39.29 | odd | 6 | 2535.2.a.y.1.3 | 3 | |||
39.35 | odd | 6 | 195.2.i.e.61.1 | yes | 6 | ||
195.74 | odd | 6 | 975.2.i.m.451.3 | 6 | |||
195.113 | even | 12 | 975.2.bb.j.724.6 | 12 | |||
195.152 | even | 12 | 975.2.bb.j.724.1 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
195.2.i.e.16.1 | ✓ | 6 | 3.2 | odd | 2 | ||
195.2.i.e.61.1 | yes | 6 | 39.35 | odd | 6 | ||
585.2.j.g.406.3 | 6 | 1.1 | even | 1 | trivial | ||
585.2.j.g.451.3 | 6 | 13.9 | even | 3 | inner | ||
975.2.i.m.451.3 | 6 | 195.74 | odd | 6 | |||
975.2.i.m.601.3 | 6 | 15.14 | odd | 2 | |||
975.2.bb.j.724.1 | 12 | 195.152 | even | 12 | |||
975.2.bb.j.724.6 | 12 | 195.113 | even | 12 | |||
975.2.bb.j.874.1 | 12 | 15.8 | even | 4 | |||
975.2.bb.j.874.6 | 12 | 15.2 | even | 4 | |||
2535.2.a.y.1.3 | 3 | 39.29 | odd | 6 | |||
2535.2.a.z.1.1 | 3 | 39.23 | odd | 6 | |||
7605.2.a.bt.1.3 | 3 | 13.10 | even | 6 | |||
7605.2.a.bu.1.1 | 3 | 13.3 | even | 3 |