Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [360,2,Mod(179,360)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(360, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("360.179");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 360.m (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: | |
Coefficient field: | |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
|
Coefficient ring: | |
Coefficient ring index: | |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 179.2 | ||
Root | of defining polynomial | ||
Character | 360.179 | ||
Dual form | 360.2.m.c.179.4 |
-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 .
−1.37491 | − | 0.331077i | −0.972211 | − | 0.234107i | |||||
0 | 0 | |||||||||
1.78078 | + | 0.910404i | 0.890388 | + | 0.455202i | |||||
1.64901 | − | 1.51022i | 0.737458 | − | 0.675393i | |||||
0 | 0 | |||||||||
0.936426 | 0.353936 | 0.176968 | − | 0.984217i | ||||||
0.176968 | + | 0.984217i | ||||||||
−2.14700 | − | 1.84130i | −0.759079 | − | 0.650998i | |||||
0 | 0 | |||||||||
−2.76724 | + | 1.53048i | −0.875079 | + | 0.483980i | |||||
− | 2.20837i | − | 0.665848i | −0.942954 | − | 0.332924i | ||||
0.942954 | − | 0.332924i | ||||||||
0 | 0 | |||||||||
3.33513 | 0.924999 | 0.462500 | − | 0.886619i | ||||||
0.462500 | + | 0.886619i | ||||||||
−1.28751 | − | 0.310029i | −0.344100 | − | 0.0828587i | |||||
0 | 0 | |||||||||
2.34233 | + | 3.24245i | 0.585582 | + | 0.810613i | |||||
−1.54417 | −0.374517 | −0.187259 | − | 0.982311i | ||||||
−0.187259 | + | 0.982311i | ||||||||
0 | 0 | |||||||||
−3.12311 | −0.716490 | −0.358245 | − | 0.933628i | ||||||
−0.358245 | + | 0.933628i | ||||||||
4.31143 | − | 1.18811i | 0.964064 | − | 0.265669i | |||||
0 | 0 | |||||||||
−0.731140 | + | 3.03632i | −0.155879 | + | 0.647345i | |||||
3.39228i | 0.707340i | 0.935370 | + | 0.353670i | ||||||
−0.935370 | + | 0.353670i | ||||||||
0 | 0 | |||||||||
0.438447 | − | 4.98074i | 0.0876894 | − | 0.996148i | |||||
−4.58552 | − | 1.10418i | −0.899294 | − | 0.216548i | |||||
0 | 0 | |||||||||
1.66757 | + | 0.852526i | 0.315140 | + | 0.161112i | |||||
8.44804 | 1.56876 | 0.784380 | − | 0.620280i | ||||||
0.784380 | + | 0.620280i | ||||||||
0 | 0 | |||||||||
− | 8.30571i | − | 1.49175i | −0.666086 | − | 0.745875i | ||||
0.666086 | − | 0.745875i | ||||||||
−2.14700 | − | 5.23358i | −0.379540 | − | 0.925175i | |||||
0 | 0 | |||||||||
2.12311 | + | 0.511240i | 0.364110 | + | 0.0876769i | |||||
1.54417 | − | 1.41421i | 0.261013 | − | 0.239046i | |||||
0 | 0 | |||||||||
7.60669 | 1.25053 | 0.625266 | − | 0.780412i | ||||||
0.625266 | + | 0.780412i | ||||||||
4.29400 | + | 1.03399i | 0.696579 | + | 0.167735i | |||||
0 | 0 | |||||||||
−6.32120 | + | 0.206134i | −0.999469 | + | 0.0325927i | |||||
− | 5.83095i | − | 0.910642i | −0.890327 | − | 0.455321i | ||||
0.890327 | − | 0.455321i | ||||||||
0 | 0 | |||||||||
− | 7.77769i | − | 1.18609i | −0.805171 | − | 0.593043i | ||||
0.805171 | − | 0.593043i | ||||||||
2.01051 | − | 3.93261i | 0.303095 | − | 0.592864i | |||||
0 | 0 | |||||||||
1.12311 | − | 4.66410i | 0.165593 | − | 0.687683i | |||||
10.7575i | 1.56914i | 0.620040 | + | 0.784570i | ||||||
−0.620040 | + | 0.784570i | ||||||||
0 | 0 | |||||||||
−6.12311 | −0.874729 | |||||||||
−2.25183 | + | 6.70293i | −0.318457 | + | 0.947937i | |||||
0 | 0 | |||||||||
5.93912 | + | 3.03632i | 0.823608 | + | 0.421061i | |||||
− | 5.08842i | − | 0.698949i | −0.936946 | − | 0.349474i | ||||
0.936946 | − | 0.349474i | ||||||||
0 | 0 | |||||||||
−3.33513 | − | 3.64162i | −0.449709 | − | 0.491035i | |||||
−2.01051 | − | 1.72424i | −0.268665 | − | 0.230412i | |||||
0 | 0 | |||||||||
−11.6153 | − | 2.79695i | −1.52517 | − | 0.367257i | |||||
10.6937i | 1.39219i | 0.717947 | + | 0.696097i | ||||||
−0.717947 | + | 0.696097i | ||||||||
0 | 0 | |||||||||
0 | 0 | 1.00000 | ||||||||
−1.00000 | ||||||||||
−2.74983 | + | 11.4196i | −0.349228 | + | 1.45030i | |||||
0 | 0 | |||||||||
1.21922 | + | 7.90655i | 0.152403 | + | 0.988318i | |||||
5.49966 | − | 5.03680i | 0.682148 | − | 0.624738i | |||||
0 | 0 | |||||||||
12.1453i | 1.48378i | 0.670521 | + | 0.741890i | ||||||
−0.670521 | + | 0.741890i | ||||||||
−2.74983 | − | 1.40582i | −0.333466 | − | 0.170481i | |||||
0 | 0 | |||||||||
−2.59132 | + | 1.43318i | −0.309722 | + | 0.171298i | |||||
−11.7460 | −1.39400 | −0.697000 | − | 0.717071i | ||||||
−0.697000 | + | 0.717071i | ||||||||
0 | 0 | |||||||||
5.59390i | 0.654716i | 0.944900 | + | 0.327358i | ||||||
−0.944900 | + | 0.327358i | ||||||||
−10.4585 | − | 2.51840i | −1.21578 | − | 0.292758i | |||||
0 | 0 | |||||||||
−5.56155 | − | 2.84329i | −0.637954 | − | 0.326147i | |||||
− | 2.06798i | − | 0.235668i | |||||||
0 | 0 | |||||||||
− | 1.02248i | − | 0.115038i | −0.998344 | − | 0.0575190i | ||||
0.998344 | − | 0.0575190i | ||||||||
8.75935 | + | 1.80938i | 0.979325 | + | 0.202295i | |||||
0 | 0 | |||||||||
−1.93049 | + | 8.01706i | −0.213187 | + | 0.885336i | |||||
14.0877 | 1.54632 | 0.773161 | − | 0.634210i | ||||||
0.773161 | + | 0.634210i | ||||||||
0 | 0 | |||||||||
−2.54635 | + | 2.33205i | −0.276191 | + | 0.252946i | |||||
−2.57501 | + | 10.6937i | −0.277671 | + | 1.15313i | |||||
0 | 0 | |||||||||
−4.06627 | + | 4.74137i | −0.433466 | + | 0.505432i | |||||
13.0761i | 1.38607i | 0.720906 | + | 0.693033i | ||||||
−0.720906 | + | 0.693033i | ||||||||
0 | 0 | |||||||||
3.12311 | 0.327390 | |||||||||
−3.08835 | + | 6.04090i | −0.321982 | + | 0.629807i | |||||
0 | 0 | |||||||||
3.56155 | − | 14.7906i | 0.367346 | − | 1.52554i | |||||
−5.15002 | + | 4.71659i | −0.528381 | + | 0.483912i | |||||
0 | 0 | |||||||||
2.18379i | 0.221730i | 0.993835 | + | 0.110865i | ||||||
−0.993835 | + | 0.110865i | ||||||||
8.41874 | + | 2.02722i | 0.850421 | + | 0.204780i | |||||
0 | 0 | |||||||||
5.31526 | − | 8.47042i | 0.531526 | − | 0.847042i | |||||
3.29801 | 0.328165 | 0.164082 | − | 0.986447i | ||||||
0.164082 | + | 0.986447i | ||||||||
0 | 0 | |||||||||
−18.0227 | −1.77583 | −0.887913 | − | 0.460012i | ||||||
−0.887913 | + | 0.460012i | ||||||||
−7.16053 | − | 6.14098i | −0.702148 | − | 0.602173i | |||||
0 | 0 | |||||||||
−1.68466 | + | 6.99614i | −0.163628 | + | 0.679526i | |||||
−10.9993 | −1.06334 | −0.531672 | − | 0.846950i | ||||||
−0.531672 | + | 0.846950i | ||||||||
0 | 0 | |||||||||
11.9473i | 1.14435i | 0.820133 | + | 0.572173i | ||||||
−0.820133 | + | 0.572173i | ||||||||
3.37987 | + | 6.11109i | 0.322257 | + | 0.582670i | |||||
0 | 0 | |||||||||
2.19342 | + | 3.03632i | 0.207259 | + | 0.286905i | |||||
−12.5435 | −1.17999 | −0.589996 | − | 0.807406i | ||||||
−0.589996 | + | 0.807406i | ||||||||
0 | 0 | |||||||||
5.12311 | + | 5.59390i | 0.477732 | + | 0.521634i | |||||
15.0441 | + | 7.69113i | 1.39681 | + | 0.714103i | |||||
0 | 0 | |||||||||
3.54042 | − | 14.7028i | 0.325922 | − | 1.35351i | |||||
−1.44600 | −0.132555 | |||||||||
0 | 0 | |||||||||
6.12311 | 0.556646 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
7.56155 | − | 14.7906i | 0.679047 | − | 1.32824i | |||||
−6.79903 | − | 8.87543i | −0.608124 | − | 0.793842i | |||||
0 | 0 | |||||||||
4.68213 | 0.415472 | 0.207736 | − | 0.978185i | ||||||
0.207736 | + | 0.978185i | ||||||||
0.941346 | − | 11.2745i | 0.0832041 | − | 0.996533i | |||||
0 | 0 | |||||||||
−9.22912 | + | 5.10435i | −0.809447 | + | 0.447681i | |||||
− | 0.620058i | − | 0.0541747i | −0.999633 | − | 0.0270874i | ||||
0.999633 | − | 0.0270874i | ||||||||
0 | 0 | |||||||||
−2.92456 | −0.253591 | |||||||||
4.02102 | − | 16.6987i | 0.347363 | − | 1.44255i | |||||
0 | 0 | |||||||||
3.31534 | + | 2.84329i | 0.284288 | + | 0.243810i | |||||
−1.54417 | −0.131928 | −0.0659638 | − | 0.997822i | ||||||
−0.0659638 | + | 0.997822i | ||||||||
0 | 0 | |||||||||
−12.0000 | −1.01783 | −0.508913 | − | 0.860818i | ||||||
−0.508913 | + | 0.860818i | ||||||||
4.03733 | − | 1.11258i | 0.341217 | − | 0.0940299i | |||||
0 | 0 | |||||||||
16.1498 | + | 3.88884i | 1.35526 | + | 0.326345i | |||||
− | 7.36520i | − | 0.615909i | |||||||
0 | 0 | |||||||||
13.9309 | − | 12.7584i | 1.15690 | − | 1.05953i | |||||
1.85201 | − | 7.69113i | 0.153273 | − | 0.636522i | |||||
0 | 0 | |||||||||
13.5458 | + | 6.92516i | 1.11346 | + | 0.569245i | |||||
1.85201 | 0.151722 | 0.0758612 | − | 0.997118i | ||||||
0.0758612 | + | 0.997118i | ||||||||
0 | 0 | |||||||||
17.6339i | 1.43503i | 0.696545 | + | 0.717513i | ||||||
−0.696545 | + | 0.717513i | ||||||||
6.70531 | + | 5.75058i | 0.543872 | + | 0.466433i | |||||
0 | 0 | |||||||||
−0.684658 | + | 2.84329i | −0.0551713 | + | 0.229119i | |||||
−12.5435 | − | 13.6962i | −1.00752 | − | 1.10010i | |||||
0 | 0 | |||||||||
−2.80928 | −0.224205 | −0.112102 | − | 0.993697i | ||||||
−0.112102 | + | 0.993697i | ||||||||
−0.338519 | + | 1.40582i | −0.0269311 | + | 0.111841i | |||||
0 | 0 | |||||||||
−11.4443 | − | 5.38776i | −0.904751 | − | 0.425940i | |||||
3.17662i | 0.250353i | |||||||||
0 | 0 | |||||||||
− | 15.5554i | − | 1.21839i | −0.793020 | − | 0.609195i | ||||
0.793020 | − | 0.609195i | ||||||||
5.30852 | − | 10.3836i | 0.414526 | − | 0.810825i | |||||
0 | 0 | |||||||||
−19.3693 | − | 4.66410i | −1.50335 | − | 0.362004i | |||||
− | 9.43318i | − | 0.729961i | −0.931015 | − | 0.364981i | ||||
0.931015 | − | 0.364981i | ||||||||
0 | 0 | |||||||||
−1.87689 | −0.144376 | |||||||||
4.27310 | − | 2.36333i | 0.327732 | − | 0.181259i | |||||
0 | 0 | |||||||||
7.08084 | − | 13.8503i | 0.539909 | − | 1.05608i | |||||
1.69614i | 0.128955i | 0.997919 | + | 0.0644776i | ||||||
−0.997919 | + | 0.0644776i | ||||||||
0 | 0 | |||||||||
0.410574 | − | 4.66410i | 0.0310364 | − | 0.352572i | |||||
7.16053 | − | 5.17273i | 0.539745 | − | 0.389909i | |||||
0 | 0 | |||||||||
4.32920 | − | 17.9785i | 0.324487 | − | 1.34755i | |||||
8.21342i | 0.613900i | 0.951726 | + | 0.306950i | ||||||
−0.951726 | + | 0.306950i | ||||||||
0 | 0 | |||||||||
4.66410i | 0.346680i | 0.984862 | + | 0.173340i | ||||||
−0.984862 | + | 0.173340i | ||||||||
−4.29400 | − | 1.03399i | −0.318293 | − | 0.0766443i | |||||
0 | 0 | |||||||||
6.24621 | − | 7.28323i | 0.460477 | − | 0.536927i | |||||
12.5435 | − | 11.4878i | 0.922215 | − | 0.844600i | |||||
0 | 0 | |||||||||
3.41011i | 0.249372i | |||||||||
−9.79366 | + | 19.1567i | −0.714276 | + | 1.39714i | |||||
0 | 0 | |||||||||
8.64239 | − | 4.77985i | 0.626985 | − | 0.346767i | |||||
13.1921 | 0.954544 | 0.477272 | − | 0.878756i | ||||||
0.477272 | + | 0.878756i | ||||||||
0 | 0 | |||||||||
23.3331i | 1.67955i | 0.542934 | + | 0.839775i | ||||||
−0.542934 | + | 0.839775i | ||||||||
0.723002 | − | 3.00252i | 0.0519085 | − | 0.215569i | |||||
0 | 0 | |||||||||
−10.9039 | − | 5.57450i | −0.778849 | − | 0.398179i | |||||
− | 4.92539i | − | 0.350920i | −0.984487 | − | 0.175460i | ||||
0.984487 | − | 0.175460i | ||||||||
0 | 0 | |||||||||
17.6339i | 1.25003i | 0.780611 | + | 0.625017i | ||||||
−0.780611 | + | 0.625017i | ||||||||
−10.1124 | + | 9.88634i | −0.715054 | + | 0.699070i | |||||
0 | 0 | |||||||||
−4.53448 | − | 1.09190i | −0.319045 | − | 0.0768255i | |||||
7.91096 | 0.555241 | |||||||||
0 | 0 | |||||||||
−8.80604 | − | 9.61528i | −0.615041 | − | 0.671560i | |||||
24.7796 | + | 5.96688i | 1.72648 | + | 0.415732i | |||||
0 | 0 | |||||||||
7.81198 | + | 10.8140i | 0.541663 | + | 0.749816i | |||||
6.89697i | 0.477073i | |||||||||
0 | 0 | |||||||||
4.00000 | 0.275371 | 0.137686 | − | 0.990476i | ||||||
0.137686 | + | 0.990476i | ||||||||
4.63252 | − | 9.06134i | 0.318163 | − | 0.622336i | |||||
0 | 0 | |||||||||
15.1231 | + | 3.64162i | 1.03379 | + | 0.248936i | |||||
−11.7460 | − | 12.8255i | −0.801074 | − | 0.874689i | |||||
0 | 0 | |||||||||
− | 7.77769i | − | 0.527984i | |||||||
3.95548 | − | 16.4265i | 0.267899 | − | 1.11255i | |||||
0 | 0 | |||||||||
−2.62378 | − | 9.52122i | −0.176895 | − | 0.641921i | |||||
−5.15002 | −0.346428 | |||||||||
0 | 0 | |||||||||
21.9989 | 1.47316 | 0.736578 | − | 0.676352i | ||||||
0.736578 | + | 0.676352i | ||||||||
−2.01051 | − | 4.90086i | −0.134333 | − | 0.327453i | |||||
0 | 0 | |||||||||
17.2462 | + | 4.15286i | 1.14720 | + | 0.276244i | |||||
−3.08835 | −0.204981 | −0.102490 | − | 0.994734i | ||||||
−0.102490 | + | 0.994734i | ||||||||
0 | 0 | |||||||||
2.61914i | 0.173077i | 0.996248 | + | 0.0865387i | ||||||
−0.996248 | + | 0.0865387i | ||||||||
−5.19182 | − | 9.38727i | −0.342338 | − | 0.618978i | |||||
0 | 0 | |||||||||
−18.1379 | − | 15.5554i | −1.19081 | − | 1.02126i | |||||
−20.4544 | −1.34002 | −0.670008 | − | 0.742354i | ||||||
−0.670008 | + | 0.742354i | ||||||||
0 | 0 | |||||||||
16.2462 | + | 17.7392i | 1.05979 | + | 1.15718i | |||||
−9.73554 | + | 19.0430i | −0.633730 | + | 1.23959i | |||||
0 | 0 | |||||||||
1.98813 | + | 0.478739i | 0.128871 | + | 0.0310320i | |||||
23.4921 | 1.51958 | 0.759789 | − | 0.650170i | ||||||
0.759789 | + | 0.650170i | ||||||||
0 | 0 | |||||||||
−4.00000 | −0.257663 | −0.128831 | − | 0.991667i | ||||||
−0.128831 | + | 0.991667i | ||||||||
−8.41874 | − | 2.02722i | −0.541177 | − | 0.130314i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−10.0970 | + | 9.24726i | −0.645076 | + | 0.590786i | |||||
0 | 0 | |||||||||
−10.4160 | −0.662752 | |||||||||
−15.2933 | + | 17.8324i | −0.971126 | + | 1.13236i | |||||
0 | 0 | |||||||||
6.40963 | + | 14.4539i | 0.405381 | + | 0.914148i | |||||
− | 3.44849i | − | 0.217666i | −0.994060 | − | 0.108833i | ||||
0.994060 | − | 0.108833i | ||||||||
0 | 0 | |||||||||
7.49141 | 0.470981 | |||||||||
−6.43753 | − | 1.55014i | −0.403926 | − | 0.0972647i | |||||
0 | 0 | |||||||||
−5.02699 | + | 15.1898i | −0.314187 | + | 0.949361i | |||||
15.6318 | 0.975087 | 0.487543 | − | 0.873099i | ||||||
0.487543 | + | 0.873099i | ||||||||
0 | 0 | |||||||||
7.12311 | 0.442608 | |||||||||
14.3792 | − | 3.96250i | 0.891759 | − | 0.245744i | |||||
0 | 0 | |||||||||
−0.205287 | + | 0.852526i | −0.0126827 | + | 0.0526693i | |||||
− | 14.7304i | − | 0.908316i | −0.890921 | − | 0.454158i | ||||
0.890921 | − | 0.454158i | ||||||||
0 | 0 | |||||||||
−7.68466 | − | 8.39084i | −0.472065 | − | 0.515445i | |||||
4.02102 | + | 0.968253i | 0.246544 | + | 0.0593674i | |||||
0 | 0 | |||||||||
−11.0571 | + | 21.6280i | −0.675420 | + | 1.32114i | |||||
−15.0441 | −0.917253 | −0.458626 | − | 0.888629i | ||||||
−0.458626 | + | 0.888629i | ||||||||
0 | 0 | |||||||||
− | 10.3507i | − | 0.628758i | −0.949297 | − | 0.314379i | ||||
0.949297 | − | 0.314379i | ||||||||
−3.61696 | − | 5.00691i | −0.219311 | − | 0.303588i | |||||
0 | 0 | |||||||||
2.12311 | + | 0.511240i | 0.128262 | + | 0.0308851i | |||||
−10.9993 | − | 0.968253i | −0.663283 | − | 0.0583879i | |||||
0 | 0 | |||||||||
−23.3459 | −1.40272 | −0.701360 | − | 0.712807i | ||||||
−0.701360 | + | 0.712807i | ||||||||
16.4990 | + | 3.97292i | 0.989542 | + | 0.238280i | |||||
0 | 0 | |||||||||
−5.91933 | + | 0.193030i | −0.353748 | + | 0.0115357i | |||||
− | 3.00252i | − | 0.179116i | −0.995982 | − | 0.0895578i | ||||
0.995982 | − | 0.0895578i | ||||||||
0 | 0 | |||||||||
− | 23.3331i | − | 1.38701i | −0.720453 | − | 0.693503i | ||||
0.720453 | − | 0.693503i | ||||||||
−20.9171 | − | 10.6937i | −1.24120 | − | 0.634551i | |||||
0 | 0 | |||||||||
−2.43845 | + | 10.1265i | −0.144188 | + | 0.598794i | |||||
− | 5.46026i | − | 0.322309i | |||||||
0 | 0 | |||||||||
−14.6155 | −0.859737 | |||||||||
−23.3778 | + | 12.9296i | −1.37279 | + | 0.759249i | |||||
0 | 0 | |||||||||
−5.09271 | + | 9.96148i | −0.298028 | + | 0.582951i | |||||
29.8326i | 1.74284i | 0.490536 | + | 0.871421i | ||||||
−0.490536 | + | 0.871421i | ||||||||
0 | 0 | |||||||||
16.1498 | + | 17.6339i | 0.940278 | + | 1.02669i | |||||
−16.3316 | − | 14.0062i | −0.949253 | − | 0.814094i | |||||
0 | 0 | |||||||||
−2.54635 | − | 0.613157i | −0.147506 | − | 0.0355192i | |||||
11.3137i | 0.654289i | |||||||||
0 | 0 | |||||||||
− | 7.28323i | − | 0.419799i | |||||||
5.83817 | − | 24.2451i | 0.335949 | − | 1.39515i | |||||
0 | 0 | |||||||||
−7.31534 | − | 10.1265i | −0.419564 | − | 0.580796i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
− | 4.36758i | − | 0.249271i | −0.992203 | − | 0.124636i | ||||
0.992203 | − | 0.124636i | ||||||||
1.88269 | − | 3.68260i | 0.107276 | − | 0.209836i | |||||
0 | 0 | |||||||||
12.7117 | + | 22.9839i | 0.721978 | + | 1.30540i | |||||
10.3000 | 0.584062 | 0.292031 | − | 0.956409i | ||||||
0.292031 | + | 0.956409i | ||||||||
0 | 0 | |||||||||
32.0682i | 1.81260i | 0.422631 | + | 0.906302i | ||||||
−0.422631 | + | 0.906302i | ||||||||
3.86252 | + | 0.930087i | 0.217974 | + | 0.0524878i | |||||
0 | 0 | |||||||||
0.930870 | − | 1.82081i | 0.0523655 | − | 0.102428i | |||||
24.5354i | 1.37805i | 0.724739 | + | 0.689023i | ||||||
−0.724739 | + | 0.689023i | ||||||||
0 | 0 | |||||||||
− | 18.6564i | − | 1.04456i | |||||||
13.9512 | + | 11.1967i | 0.779894 | + | 0.625912i | |||||
0 | 0 | |||||||||
1.05171 | − | 4.36758i | 0.0586093 | − | 0.243396i | |||||
4.82262 | 0.268338 | |||||||||
0 | 0 | |||||||||
1.46228 | − | 16.6114i | 0.0811127 | − | 0.921436i | |||||
−5.15002 | + | 21.3873i | −0.285233 | + | 1.18453i | |||||
0 | 0 | |||||||||
−10.7365 | + | 12.5191i | −0.592826 | + | 0.691249i | |||||
10.0736i | 0.555375i | |||||||||
0 | 0 | |||||||||
−1.36932 | −0.0752645 | −0.0376322 | − | 0.999292i | ||||||
−0.0376322 | + | 0.999292i | ||||||||
25.0870 | + | 12.8255i | 1.37683 | + | 0.703889i | |||||
0 | 0 | |||||||||
−3.12311 | + | 12.9698i | −0.170889 | + | 0.709676i | |||||
18.3421 | + | 20.0276i | 1.00213 | + | 1.09423i | |||||
0 | 0 | |||||||||
− | 29.8844i | − | 1.62791i | −0.580929 | − | 0.813954i | ||||
0.580929 | − | 0.813954i | ||||||||
2.58057 | + | 0.621396i | 0.140364 | + | 0.0337995i | |||||
0 | 0 | |||||||||
−6.65759 | + | 1.83465i | −0.361059 | + | 0.0994977i | |||||
−18.3421 | −0.993279 | |||||||||
0 | 0 | |||||||||
−12.2888 | −0.663534 | |||||||||
−14.3211 | + | 16.6987i | −0.772140 | + | 0.900334i | |||||
0 | 0 | |||||||||
0.561553 | − | 2.33205i | 0.0301893 | − | 0.125372i | |||||
14.0877 | 0.756265 | 0.378133 | − | 0.925751i | ||||||
0.378133 | + | 0.925751i | ||||||||
0 | 0 | |||||||||
− | 33.2228i | − | 1.77838i | −0.457540 | − | 0.889189i | ||||
0.457540 | − | 0.889189i | ||||||||
−2.10868 | + | 6.27680i | −0.112714 | + | 0.335509i | |||||
0 | 0 | |||||||||
−11.5577 | + | 4.74137i | −0.616027 | + | 0.252716i | |||||
7.72087 | 0.410940 | 0.205470 | − | 0.978663i | ||||||
0.205470 | + | 0.978663i | ||||||||
0 | 0 | |||||||||
−19.3693 | + | 17.7392i | −1.02802 | + | 0.941497i | |||||
−11.9045 | + | 23.2856i | −0.630940 | + | 1.23414i | |||||
0 | 0 | |||||||||
2.71927 | − | 11.2927i | 0.143718 | − | 0.596840i | |||||
−1.44600 | −0.0763172 | −0.0381586 | − | 0.999272i | ||||||
−0.0381586 | + | 0.999272i | ||||||||
0 | 0 | |||||||||
−9.24621 | −0.486643 | |||||||||
1.54417 | − | 6.41273i | 0.0811600 | − | 0.337046i | |||||
0 | 0 | |||||||||
5.56155 | + | 2.84329i | 0.291505 | + | 0.149029i | |||||
8.44804 | + | 9.22437i | 0.442190 | + | 0.482826i | |||||
0 | 0 | |||||||||
32.4149 | 1.69204 | 0.846022 | − | 0.533148i | ||||||
0.846022 | + | 0.533148i | ||||||||
−10.9993 | + | 7.94584i | −0.573379 | + | 0.414206i | |||||
0 | 0 | |||||||||
−21.0496 | + | 11.6419i | −1.09431 | + | 0.605233i | |||||
− | 4.76493i | − | 0.247383i | |||||||
0 | 0 | |||||||||
9.47954 | 0.490832 | 0.245416 | − | 0.969418i | ||||||
0.245416 | + | 0.969418i | ||||||||
1.12901 | − | 4.68860i | 0.0583795 | − | 0.242442i | |||||
0 | 0 | |||||||||
19.8078 | − | 23.0963i | 1.02151 | − | 1.19110i | |||||
28.1753 | 1.45110 | |||||||||
0 | 0 | |||||||||
−16.4924 | −0.847159 | −0.423579 | − | 0.905859i | ||||||
−0.423579 | + | 0.905859i | ||||||||
−13.4650 | + | 3.71059i | −0.690742 | + | 0.190349i | |||||
0 | 0 | |||||||||
−18.1379 | − | 4.36758i | −0.928018 | − | 0.223465i | |||||
10.0138i | 0.511682i | 0.966719 | + | 0.255841i | ||||||
−0.966719 | + | 0.255841i | ||||||||
0 | 0 | |||||||||
−3.12311 | − | 3.41011i | −0.159168 | − | 0.173795i | |||||
7.72503 | − | 32.0810i | 0.393194 | − | 1.63288i | |||||
0 | 0 | |||||||||
−1.98813 | + | 3.88884i | −0.100932 | + | 0.197426i | |||||
9.89404 | 0.501648 | 0.250824 | − | 0.968033i | ||||||
0.250824 | + | 0.968033i | ||||||||
0 | 0 | |||||||||
− | 5.23827i | − | 0.264911i | |||||||
13.1463 | + | 11.2745i | 0.663989 | + | 0.569447i | |||||
0 | 0 | |||||||||
−1.63068 | + | 6.77199i | −0.0821526 | + | 0.341168i | |||||
−1.54417 | − | 1.68608i | −0.0776958 | − | 0.0848357i | |||||
0 | 0 | |||||||||
−10.3007 | −0.516977 | −0.258488 | − | 0.966014i | ||||||
−0.258488 | + | 0.966014i | ||||||||
5.83817 | − | 24.2451i | 0.292641 | − | 1.21530i | |||||
0 | 0 | |||||||||
17.1768 | − | 10.2449i | 0.858840 | − | 0.512244i | |||||
− | 0.522293i | − | 0.0260821i | −0.999915 | − | 0.0130410i | ||||
0.999915 | − | 0.0130410i | ||||||||
0 | 0 | |||||||||
− | 27.7006i | − | 1.37987i | |||||||
5.87302 | + | 3.00252i | 0.292194 | + | 0.149381i | |||||
0 | 0 | |||||||||
−10.8769 | − | 2.61914i | −0.539811 | − | 0.129986i | |||||
− | 16.7984i | − | 0.832665i | |||||||
0 | 0 | |||||||||
3.12311 | 0.154428 | 0.0772138 | − | 0.997015i | ||||||
0.0772138 | + | 0.997015i | ||||||||
8.92416 | + | 16.1357i | 0.440733 | + | 0.796883i | |||||
0 | 0 | |||||||||
−32.0943 | − | 16.4079i | −1.58117 | − | 0.808359i | |||||
10.0138i | 0.492748i | |||||||||
0 | 0 | |||||||||
23.2306 | − | 21.2755i | 1.14035 | − | 1.04437i | |||||
−7.16053 | − | 17.4547i | −0.351074 | − | 0.855787i | |||||
0 | 0 | |||||||||
2.28343 | − | 9.48274i | 0.111686 | − | 0.463816i | |||||
− | 32.4291i | − | 1.58427i | −0.610348 | − | 0.792134i | ||||
0.610348 | − | 0.792134i | ||||||||
0 | 0 | |||||||||
− | 30.6037i | − | 1.49153i | −0.666207 | − | 0.745767i | ||||
0.666207 | − | 0.745767i | ||||||||
−5.49966 | − | 1.32431i | −0.267719 | − | 0.0644663i | |||||
0 | 0 | |||||||||
−9.36932 | + | 10.9248i | −0.455014 | + | 0.530558i | |||||
−0.677039 | + | 7.69113i | −0.0328412 | + | 0.373074i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−19.5873 | − | 10.0138i | −0.946789 | − | 0.484036i | |||||
0 | 0 | |||||||||
11.9036 | + | 21.5227i | 0.574042 | + | 1.03792i | |||||
1.44600 | 0.0696516 | 0.0348258 | − | 0.999393i | ||||||
0.0348258 | + | 0.999393i | ||||||||
0 | 0 | |||||||||
15.5554i | 0.747544i | 0.927521 | + | 0.373772i | ||||||
−0.927521 | + | 0.373772i | ||||||||
−2.57501 | + | 10.6937i | −0.123604 | + | 0.513312i | |||||
0 | 0 | |||||||||
−10.8769 | + | 21.2755i | −0.520909 | + | 1.01891i | |||||
− | 10.5945i | − | 0.506802i | |||||||
0 | 0 | |||||||||
26.9621i | 1.28683i | 0.765517 | + | 0.643415i | ||||||
−0.765517 | + | 0.643415i | ||||||||
0.455221 | + | 13.9595i | 0.0217018 | + | 0.665495i | |||||
0 | 0 | |||||||||
7.08084 | + | 1.70505i | 0.336801 | + | 0.0811011i | |||||
25.0870 | 1.19192 | 0.595959 | − | 0.803015i | ||||||
0.595959 | + | 0.803015i | ||||||||
0 | 0 | |||||||||
19.7479 | + | 21.5626i | 0.936139 | + | 1.02217i | |||||
−30.2466 | − | 7.28333i | −1.43222 | − | 0.344876i | |||||
0 | 0 | |||||||||
1.14171 | + | 7.40390i | 0.0539409 | + | 0.349801i | |||||
− | 9.89949i | − | 0.467186i | −0.972334 | − | 0.233593i | ||||
0.972334 | − | 0.233593i | ||||||||
0 | 0 | |||||||||
−12.8769 | −0.606349 | |||||||||
−22.3371 | − | 11.4196i | −1.05065 | − | 0.537135i | |||||
0 | 0 | |||||||||
4.24621 | + | 1.02248i | 0.199285 | + | 0.0479874i | |||||
5.15002 | − | 4.71659i | 0.241437 | − | 0.221117i | |||||
0 | 0 | |||||||||
− | 13.3716i | − | 0.625496i | −0.949836 | − | 0.312748i | ||||
0.949836 | − | 0.312748i | ||||||||
0.867135 | − | 3.60109i | 0.0405186 | − | 0.168268i | |||||
0 | 0 | |||||||||
4.03040 | + | 14.6256i | 0.187918 | + | 0.681921i | |||||
1.85201 | 0.0862567 | 0.0431283 | − | 0.999070i | ||||||
0.0431283 | + | 0.999070i | ||||||||
0 | 0 | |||||||||
13.2252 | 0.614629 | 0.307315 | − | 0.951608i | ||||||
0.307315 | + | 0.951608i | ||||||||
19.7881 | + | 27.3924i | 0.918639 | + | 1.27166i | |||||
0 | 0 | |||||||||
28.1231 | + | 6.77199i | 1.30278 | + | 0.313706i | |||||
−18.9103 | −0.875063 | −0.437532 | − | 0.899203i | ||||||
−0.437532 | + | 0.899203i | ||||||||
0 | 0 | |||||||||
11.3732i | 0.525163i | |||||||||
−16.4641 | − | 29.7686i | −0.759433 | − | 1.37312i | |||||
0 | 0 | |||||||||
19.6902 | − | 22.9593i | 0.906316 | − | 1.05679i | |||||
−17.1760 | −0.789754 | |||||||||
0 | 0 | |||||||||
−1.36932 | + | 15.5554i | −0.0628286 | + | 0.713730i | |||||
−2.57501 | − | 1.31645i | −0.118025 | − | 0.0603393i | |||||
0 | 0 | |||||||||
−32.2996 | − | 7.77769i | −1.47735 | − | 0.355743i | |||||
14.6381 | 0.668830 | 0.334415 | − | 0.942426i | ||||||
0.334415 | + | 0.942426i | ||||||||
0 | 0 | |||||||||
25.3693 | 1.15674 | |||||||||
5.49966 | + | 1.32431i | 0.250502 | + | 0.0603205i | |||||
0 | 0 | |||||||||
10.9039 | + | 5.57450i | 0.495631 | + | 0.253386i | |||||
3.29801 | + | 3.60109i | 0.149755 | + | 0.163517i | |||||
0 | 0 | |||||||||
−29.4903 | −1.33633 | −0.668167 | − | 0.744011i | ||||||
−0.668167 | + | 0.744011i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
16.9441 | − | 9.37129i | 0.765457 | − | 0.423352i | |||||
− | 16.3505i | − | 0.737888i | −0.929452 | − | 0.368944i | ||||
0.929452 | − | 0.368944i | ||||||||
0 | 0 | |||||||||
−13.0452 | −0.587528 | |||||||||
14.3211 | + | 3.44849i | 0.644335 | + | 0.155155i | |||||
0 | 0 | |||||||||
26.9309 | − | 19.4547i | 1.20923 | − | 0.873542i | |||||
−10.9993 | −0.493387 | |||||||||
0 | 0 | |||||||||
16.8769 | 0.755514 | 0.377757 | − | 0.925905i | ||||||
0.377757 | + | 0.925905i | ||||||||
−4.02733 | − | 21.9950i | −0.180108 | − | 0.983647i | |||||
0 | 0 | |||||||||
−1.14171 | + | 4.74137i | −0.0509572 | + | 0.211618i | |||||
− | 16.0547i | − | 0.715844i | −0.933751 | − | 0.357922i | ||||
0.933751 | − | 0.357922i | ||||||||
0 | 0 | |||||||||
5.43845 | − | 4.98074i | 0.242008 | − | 0.221640i | |||||
−10.3000 | − | 2.48023i | −0.457893 | − | 0.110260i | |||||
0 | 0 | |||||||||
8.33783 | + | 4.26263i | 0.369931 | + | 0.189124i | |||||
3.29801 | 0.146182 | 0.0730909 | − | 0.997325i | ||||||
0.0730909 | + | 0.997325i | ||||||||
0 | 0 | |||||||||
5.23827i | 0.231728i | |||||||||
11.9407 | − | 19.2203i | 0.527707 | − | 0.849426i | |||||
0 | 0 | |||||||||
−21.4924 | − | 5.17534i | −0.947990 | − | 0.228274i | |||||
−29.7195 | + | 27.2183i | −1.30960 | + | 1.19938i | |||||
0 | 0 | |||||||||
23.7565 | 1.04481 | |||||||||
−9.79366 | − | 2.35829i | −0.430309 | − | 0.103618i | |||||
0 | 0 | |||||||||
−21.0820 | + | 0.687485i | −0.924508 | + | 0.0301482i | |||||
− | 2.65433i | − | 0.116288i | −0.998308 | − | 0.0581441i | ||||
0.998308 | − | 0.0581441i | ||||||||
0 | 0 | |||||||||
4.36758i | 0.190981i | 0.995430 | + | 0.0954905i | ||||||
−0.995430 | + | 0.0954905i | ||||||||
0.564503 | − | 1.10418i | 0.0246604 | − | 0.0482365i | |||||
0 | 0 | |||||||||
−4.87689 | + | 20.2530i | −0.212643 | + | 0.883074i | |||||
12.8255i | 0.558686i | |||||||||
0 | 0 | |||||||||
11.4924 | 0.499671 | |||||||||
7.78773 | + | 14.0809i | 0.338277 | + | 0.611635i | |||||
0 | 0 | |||||||||
−5.20798 | − | 2.66253i | −0.225795 | − | 0.115435i | |||||
− | 19.4470i | − | 0.842343i | |||||||
0 | 0 | |||||||||
−18.1379 | + | 16.6114i | −0.784172 | + | 0.718174i | |||||
22.3631 | − | 26.0759i | 0.965939 | − | 1.12631i | |||||
0 | 0 | |||||||||
20.6843 | + | 4.98074i | 0.891763 | + | 0.214735i | |||||
13.5221i | 0.582437i | |||||||||
0 | 0 | |||||||||
9.90237i | 0.425736i | 0.977081 | + | 0.212868i | ||||||
−0.977081 | + | 0.212868i | ||||||||
−3.42687 | + | 14.2313i | −0.147197 | + | 0.611286i | |||||
0 | 0 | |||||||||
3.31534 | + | 8.08156i | 0.142144 | + | 0.346494i | |||||
18.0431 | + | 19.7012i | 0.772883 | + | 0.843908i | |||||
0 | 0 | |||||||||
− | 16.5129i | − | 0.706039i | −0.935616 | − | 0.353019i | ||||
0.935616 | − | 0.353019i | ||||||||
−2.74983 | − | 1.40582i | −0.117467 | − | 0.0600537i | |||||
0 | 0 | |||||||||
14.8025 | + | 4.97288i | 0.631182 | + | 0.212044i | |||||
−26.3841 | −1.12400 | |||||||||
0 | 0 | |||||||||
− | 0.957477i | − | 0.0407161i | |||||||
32.0986 | + | 7.72929i | 1.36374 | + | 0.328386i | |||||
0 | 0 | |||||||||
−21.3693 | − | 10.9248i | −0.906261 | − | 0.463317i | |||||
− | 32.6443i | − | 1.38318i | −0.722289 | − | 0.691591i | ||||
0.722289 | − | 0.691591i | ||||||||
0 | 0 | |||||||||
− | 25.9396i | − | 1.09713i | |||||||
8.20248 | + | 1.69435i | 0.346618 | + | 0.0715995i | |||||
0 | 0 | |||||||||
−0.994066 | + | 4.12821i | −0.0419321 | + | 0.174138i | |||||
−14.0877 | −0.593724 | −0.296862 | − | 0.954920i | ||||||
−0.296862 | + | 0.954920i | ||||||||
0 | 0 | |||||||||
−20.6843 | + | 18.9435i | −0.870195 | + | 0.796958i | |||||
−7.72503 | + | 32.0810i | −0.324707 | + | 1.34846i | |||||
0 | 0 | |||||||||
25.2188 | + | 21.6280i | 1.05816 | + | 0.907491i | |||||
− | 30.0467i | − | 1.25962i | −0.776748 | − | 0.629811i | ||||
0.776748 | − | 0.629811i | ||||||||
0 | 0 | |||||||||
33.8617 | 1.41707 | 0.708535 | − | 0.705676i | ||||||
0.708535 | + | 0.705676i | ||||||||
6.70531 | − | 13.1158i | 0.280363 | − | 0.548398i | |||||
0 | 0 | |||||||||
−1.80776 | + | 7.50738i | −0.0754546 | + | 0.313352i | |||||
16.8961 | + | 1.48734i | 0.704615 | + | 0.0620262i | |||||
0 | 0 | |||||||||
7.77769i | 0.323789i | 0.986808 | + | 0.161895i | ||||||
−0.986808 | + | 0.161895i | ||||||||
20.0951 | + | 4.83886i | 0.835846 | + | 0.201270i | |||||
0 | 0 | |||||||||
36.4231 | − | 10.0372i | 1.51239 | − | 0.416771i | |||||
13.1921 | 0.547299 | |||||||||
0 | 0 | |||||||||
−11.2371 | −0.465394 | |||||||||
10.3000 | − | 12.0101i | 0.426219 | − | 0.496981i | |||||
0 | 0 | |||||||||
9.87689 | − | 41.0173i | 0.408011 | − | 1.69441i | |||||
10.9993 | 0.453990 | 0.226995 | − | 0.973896i | ||||||
0.226995 | + | 0.973896i | ||||||||
0 | 0 | |||||||||
25.9396i | 1.06882i | |||||||||
−16.3664 | − | 29.5919i | −0.673795 | − | 1.21828i | |||||
0 | 0 | |||||||||
17.8174 | + | 24.6643i | 0.732290 | + | 1.01370i | |||||
−43.8071 | −1.79894 | −0.899472 | − | 0.436978i | ||||||
−0.899472 | + | 0.436978i | ||||||||
0 | 0 | |||||||||
−2.38447 | + | 2.18379i | −0.0977538 | + | 0.0895267i | |||||
3.29801 | + | 1.68608i | 0.135092 | + | 0.0690644i | |||||
0 | 0 | |||||||||
3.74571 | − | 15.5554i | 0.153173 | − | 0.636107i | |||||
−45.5382 | −1.86064 | −0.930320 | − | 0.366749i | ||||||
−0.930320 | + | 0.366749i | ||||||||
0 | 0 | |||||||||
−23.3693 | −0.953254 | −0.476627 | − | 0.879106i | ||||||
−0.476627 | + | 0.879106i | ||||||||
−2.41131 | + | 10.0138i | −0.0982776 | + | 0.408133i | |||||
0 | 0 | |||||||||
−16.0540 | + | 31.4020i | −0.653227 | + | 1.27773i | |||||
10.0970 | − | 9.24726i | 0.410503 | − | 0.375955i | |||||
0 | 0 | |||||||||
−9.71010 | −0.394121 | −0.197060 | − | 0.980391i | ||||||
−0.197060 | + | 0.980391i | ||||||||
6.70531 | + | 16.3450i | 0.271936 | + | 0.662879i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
35.8776i | 1.45145i | |||||||||
0 | 0 | |||||||||
23.8718 | 0.964172 | 0.482086 | − | 0.876124i | ||||||
0.482086 | + | 0.876124i | ||||||||
−1.44600 | + | 6.00505i | −0.0583560 | + | 0.242344i | |||||
0 | 0 | |||||||||
−3.80776 | + | 4.43994i | −0.153419 | + | 0.178890i | |||||
−15.6318 | −0.629314 | −0.314657 | − | 0.949205i | ||||||
−0.314657 | + | 0.949205i | ||||||||
0 | 0 | |||||||||
18.7386 | 0.753169 | 0.376585 | − | 0.926382i | ||||||
0.376585 | + | 0.926382i | ||||||||
−9.86809 | − | 35.8095i | −0.396312 | − | 1.43814i | |||||
0 | 0 | |||||||||
−14.1617 | − | 3.41011i | −0.567831 | − | 0.136733i | |||||
12.2448i | 0.490578i | |||||||||
0 | 0 | |||||||||
−24.6155 | − | 4.36758i | −0.984621 | − | 0.174703i | |||||
10.6170 | − | 44.0911i | 0.424342 | − | 1.76223i | |||||
0 | 0 | |||||||||
−5.00270 | − | 2.55758i | −0.199629 | − | 0.102059i | |||||
−11.7460 | −0.468346 | |||||||||
0 | 0 | |||||||||
17.6339i | 0.701995i | 0.936376 | + | 0.350997i | ||||||
−0.936376 | + | 0.350997i | ||||||||
−1.88269 | + | 2.19526i | −0.0748895 | + | 0.0873229i | |||||
0 | 0 | |||||||||
8.12311 | − | 33.7341i | 0.322610 | − | 1.33975i | |||||
7.72087 | − | 7.07107i | 0.306393 | − | 0.280607i | |||||
0 | 0 | |||||||||
−20.4214 | −0.809124 | |||||||||
−6.17669 | + | 25.6509i | −0.244538 | + | 1.01553i | |||||
0 | 0 | |||||||||
−15.4747 | − | 20.0133i | −0.611691 | − | 0.791097i | |||||
− | 7.07107i | − | 0.279290i | −0.990202 | − | 0.139645i | ||||
0.990202 | − | 0.139645i | ||||||||
0 | 0 | |||||||||
8.73516i | 0.344481i | 0.985055 | + | 0.172241i | ||||||
−0.985055 | + | 0.172241i | ||||||||
−2.89201 | + | 5.65685i | −0.113961 | + | 0.222911i | |||||
0 | 0 | |||||||||
−6.63068 | − | 1.59666i | −0.260881 | − | 0.0628196i | |||||
− | 1.32431i | − | 0.0520639i | −0.999661 | − | 0.0260319i | ||||
0.999661 | − | 0.0260319i | ||||||||
0 | 0 | |||||||||
23.6155 | 0.926991 | |||||||||
−7.51016 | + | 22.3551i | −0.294573 | + | 0.876841i | |||||
0 | 0 | |||||||||
14.1617 | − | 27.7006i | 0.554614 | − | 1.08484i | |||||
− | 15.8459i | − | 0.620098i | −0.950721 | − | 0.310049i | ||||
0.950721 | − | 0.310049i | ||||||||
0 | 0 | |||||||||
−0.936426 | − | 1.02248i | −0.0365892 | − | 0.0399516i | |||||
18.9066 | − | 13.6580i | 0.738178 | − | 0.533256i | |||||
0 | 0 | |||||||||
3.33513 | − | 13.8503i | 0.130017 | − | 0.539942i | |||||
− | 33.3211i | − | 1.29800i | −0.760786 | − | 0.649002i | ||||
0.760786 | − | 0.649002i | ||||||||
0 | 0 | |||||||||
44.5960i | 1.73458i | 0.497800 | + | 0.867292i | ||||||
−0.497800 | + | 0.867292i | ||||||||
1.88269 | + | 0.453349i | 0.0731729 | + | 0.0176199i | |||||
0 | 0 | |||||||||
−30.2462 | − | 25.9396i | −1.17378 | − | 1.00665i | |||||
−4.82262 | + | 4.41674i | −0.187013 | + | 0.171274i | |||||
0 | 0 | |||||||||
28.6581i | 1.10965i | |||||||||
8.58800 | − | 16.7984i | 0.332280 | − | 0.649949i | |||||
0 | 0 | |||||||||
−18.5881 | − | 33.6089i | −0.718121 | − | 1.29843i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | 1.00000 | ||||||||
−1.00000 | ||||||||||
−9.89404 | + | 41.0885i | −0.381104 | + | 1.58267i | |||||
0 | 0 | |||||||||
−3.34233 | − | 1.70873i | −0.128551 | − | 0.0657205i | |||||
− | 5.25145i | − | 0.201830i | −0.994895 | − | 0.100915i | ||||
0.994895 | − | 0.100915i | ||||||||
0 | 0 | |||||||||
2.04496i | 0.0784783i | |||||||||
9.76102 | − | 0.318307i | 0.374318 | − | 0.0122065i | |||||
0 | 0 | |||||||||
25.2188 | + | 6.07263i | 0.965677 | + | 0.232533i | |||||
20.2644 | 0.775394 | 0.387697 | − | 0.921787i | ||||||
0.387697 | + | 0.921787i | ||||||||
0 | 0 | |||||||||
−2.54635 | + | 2.33205i | −0.0972911 | + | 0.0891030i | |||||
16.8961 | + | 4.06854i | 0.645095 | + | 0.155338i | |||||
0 | 0 | |||||||||
25.2188 | − | 18.2179i | 0.961457 | − | 0.694551i | |||||
− | 16.9706i | − | 0.646527i | |||||||
0 | 0 | |||||||||
−23.1231 | −0.879644 | −0.439822 | − | 0.898085i | ||||||
−0.439822 | + | 0.898085i | ||||||||
−1.54417 | + | 3.02045i | −0.0587007 | + | 0.114820i | |||||
0 | 0 | |||||||||
−19.3693 | − | 4.66410i | −0.735249 | − | 0.177047i | |||||
−19.7881 | + | 18.1227i | −0.750605 | + | 0.687433i | |||||
0 | 0 | |||||||||
9.00400i | 0.341051i | |||||||||
−10.9993 | + | 45.6786i | −0.416330 | + | 1.72896i | |||||
0 | 0 | |||||||||
4.97735 | − | 7.93192i | 0.188126 | − | 0.299799i | |||||
20.1941 | 0.762720 | 0.381360 | − | 0.924427i | ||||||
0.381360 | + | 0.924427i | ||||||||
0 | 0 | |||||||||
−23.7565 | −0.895993 | |||||||||
17.4606 | − | 2.69250i | 0.658070 | − | 0.101477i | |||||
0 | 0 | |||||||||
−10.6155 | − | 2.55620i | −0.399521 | − | 0.0962038i | |||||
3.08835 | 0.116149 | |||||||||
0 | 0 | |||||||||
− | 30.6037i | − | 1.14935i | −0.818383 | − | 0.574673i | ||||
0.818383 | − | 0.574673i | ||||||||
32.5042 | − | 17.9771i | 1.21986 | − | 0.674668i | |||||
0 | 0 | |||||||||
24.0771 | − | 28.0744i | 0.902326 | − | 1.05213i | |||||
28.1753 | 1.05517 | |||||||||
0 | 0 | |||||||||
−11.1231 | − | 12.1453i | −0.415981 | − | 0.454207i | |||||
−7.47753 | + | 14.6263i | −0.279448 | + | 0.546609i | |||||
0 | 0 | |||||||||
1.98813 | + | 0.478739i | 0.0741964 | + | 0.0178664i | |||||
−32.3461 | −1.20631 | −0.603154 | − | 0.797625i | ||||||
−0.603154 | + | 0.797625i | ||||||||
0 | 0 | |||||||||
−16.8769 | −0.628528 | |||||||||
12.7127 | + | 3.06121i | 0.473119 | + | 0.113926i | |||||
0 | 0 | |||||||||
−4.24621 | + | 8.30571i | −0.157809 | + | 0.308679i | |||||
3.70402 | − | 42.0775i | 0.137564 | − | 1.56272i | |||||
0 | 0 | |||||||||
−9.47954 | −0.351577 | −0.175788 | − | 0.984428i | ||||||
−0.175788 | + | 0.984428i | ||||||||
−6.70531 | − | 5.75058i | −0.248515 | − | 0.213131i | |||||
0 | 0 | |||||||||
−8.56135 | − | 15.4797i | −0.316870 | − | 0.572928i | |||||
12.0101i | 0.444210i | |||||||||
0 | 0 | |||||||||
19.6002 | 0.723951 | 0.361975 | − | 0.932188i | ||||||
0.361975 | + | 0.932188i | ||||||||
−44.5677 | − | 10.7318i | −1.64502 | − | 0.396119i | |||||
0 | 0 | |||||||||
17.7538 | − | 7.28323i | 0.654413 | − | 0.268463i | |||||
26.8212 | 0.987973 | |||||||||
0 | 0 | |||||||||
35.6155 | 1.31014 | 0.655069 | − | 0.755569i | ||||||
0.655069 | + | 0.755569i | ||||||||
32.7957 | − | 9.03758i | 1.20559 | − | 0.332228i | |||||
0 | 0 | |||||||||
−1.57756 | + | 6.55137i | −0.0579140 | + | 0.240508i | |||||
10.0138i | 0.367371i | 0.982985 | + | 0.183686i | ||||||
−0.982985 | + | 0.183686i | ||||||||
0 | 0 | |||||||||
3.05398 | − | 2.79695i | 0.111889 | − | 0.102472i | |||||
−13.0336 | − | 3.13846i | −0.477192 | − | 0.114907i | |||||
0 | 0 | |||||||||
−3.10457 | + | 6.07263i | −0.113514 | + | 0.222038i | |||||
−10.3000 | −0.376355 | |||||||||
0 | 0 | |||||||||
− | 41.5286i | − | 1.51540i | −0.652604 | − | 0.757699i | ||||
0.652604 | − | 0.757699i | ||||||||
−34.8806 | + | 25.1976i | −1.27197 | + | 0.918861i | |||||
0 | 0 | |||||||||
−38.7386 | − | 9.32819i | −1.41078 | − | 0.339713i | |||||
26.6311 | + | 29.0784i | 0.969207 | + | 1.05827i | |||||
0 | 0 | |||||||||
3.33513 | 0.121217 | 0.0606087 | − | 0.998162i | ||||||
0.0606087 | + | 0.998162i | ||||||||
22.6757 | + | 5.46026i | 0.823617 | + | 0.198325i | |||||
0 | 0 | |||||||||
19.7418 | − | 0.643779i | 0.716109 | − | 0.0233523i | |||||
49.3019i | 1.78719i | 0.448870 | + | 0.893597i | ||||||
−0.448870 | + | 0.893597i | ||||||||
0 | 0 | |||||||||
11.1878i | 0.405025i | |||||||||
23.4921 | + | 12.0101i | 0.849914 | + | 0.434510i | |||||
0 | 0 | |||||||||
3.31534 | − | 13.7681i | 0.119788 | − | 0.497463i | |||||
35.6647i | 1.28778i | |||||||||
0 | 0 | |||||||||
25.6155 | 0.923720 | 0.461860 | − | 0.886953i | ||||||
0.461860 | + | 0.886953i | ||||||||
3.16499 | + | 5.72259i | 0.114058 | + | 0.206228i | |||||
0 | 0 | |||||||||
−21.2425 | + | 41.5510i | −0.764535 | + | 1.49545i | |||||
2.27678i | 0.0818901i | 0.999161 | + | 0.0409450i | ||||||
−0.999161 | + | 0.0409450i | ||||||||
0 | 0 | |||||||||
−41.3686 | − | 3.64162i | −1.48600 | − | 0.130811i | |||||
4.02102 | − | 4.68860i | 0.144346 | − | 0.168311i | |||||
0 | 0 | |||||||||
−13.6035 | − | 3.27569i | −0.487707 | − | 0.117439i | |||||
18.2107i | 0.652465i | |||||||||
0 | 0 | |||||||||
25.9396i | 0.928192i | |||||||||
−1.73427 | + | 7.20217i | −0.0620174 | + | 0.257549i | |||||
0 | 0 | |||||||||
−14.3423 | − | 19.8539i | −0.512226 | − | 0.709067i | |||||
−4.63252 | + | 4.24264i | −0.165342 | + | 0.151426i | |||||
0 | 0 | |||||||||
19.9230i | 0.710177i | 0.934833 | + | 0.355088i | ||||||
−0.934833 | + | 0.355088i | ||||||||
4.48410 | − | 8.77102i | 0.159739 | − | 0.312455i | |||||
0 | 0 | |||||||||
1.56489 | + | 2.82945i | 0.0556761 | + | 0.100667i | |||||
−11.7460 | −0.417641 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
14.1626 | + | 3.41032i | 0.502611 | + | 0.121028i | |||||
0 | 0 | |||||||||
−16.0540 | + | 31.4020i | −0.569018 | + | 1.11302i | |||||
15.6829i | 0.555516i | 0.960651 | + | 0.277758i | ||||||
−0.960651 | + | 0.277758i | ||||||||
0 | 0 | |||||||||
− | 16.6114i | − | 0.587670i | |||||||
−27.0085 | + | 8.39900i | −0.954893 | + | 0.296950i | |||||
0 | 0 | |||||||||
−0.172919 | + | 0.718108i | −0.00610598 | + | 0.0253573i | |||||
12.3534 | 0.435942 | |||||||||
0 | 0 | |||||||||
4.79741 | + | 5.23827i | 0.169087 | + | 0.184625i | |||||
−9.17104 | + | 38.0860i | −0.323036 | + | 1.34152i | |||||
0 | 0 | |||||||||
−7.08084 | − | 6.07263i | −0.249103 | − | 0.213635i | |||||
− | 20.6695i | − | 0.726700i | −0.931653 | − | 0.363350i | ||||
0.931653 | − | 0.363350i | ||||||||
0 | 0 | |||||||||
−49.4773 | −1.73738 | −0.868691 | − | 0.495354i | ||||||
−0.868691 | + | 0.495354i | ||||||||
14.0877 | + | 7.20217i | 0.494380 | + | 0.252747i | |||||
0 | 0 | |||||||||
−5.56155 | + | 23.0963i | −0.194932 | + | 0.809526i | |||||
−23.4921 | − | 25.6509i | −0.822892 | − | 0.898513i | |||||
0 | 0 | |||||||||
24.2905i | 0.849818i | |||||||||
−4.29400 | − | 1.03399i | −0.150136 | − | 0.0361525i | |||||
0 | 0 | |||||||||
−6.92781 | − | 25.1397i | −0.241929 | − | 0.877917i | |||||
12.1521 | 0.424110 | 0.212055 | − | 0.977258i | ||||||
0.212055 | + | 0.977258i | ||||||||
0 | 0 | |||||||||
−28.6692 | −0.999345 | −0.499673 | − | 0.866214i | ||||||
−0.499673 | + | 0.866214i | ||||||||
38.6947 | + | 33.1851i | 1.34799 | + | 1.15606i | |||||
0 | 0 | |||||||||
3.31534 | − | 13.7681i | 0.115355 | − | 0.479055i | |||||
−39.1746 | −1.36224 | −0.681118 | − | 0.732174i | ||||||
−0.681118 | + | 0.732174i | ||||||||
0 | 0 | |||||||||
4.66410i | 0.161991i | 0.996714 | + | 0.0809954i | ||||||
−0.996714 | + | 0.0809954i | ||||||||
−38.9840 | + | 21.5609i | −1.35315 | + | 0.748389i | |||||
0 | 0 | |||||||||
4.06627 | + | 26.3694i | 0.140973 | + | 0.914194i | |||||
9.45514 | 0.327601 | |||||||||
0 | 0 | |||||||||
−14.2462 | − | 15.5554i | −0.493010 | − | 0.538316i | |||||
−6.27903 | + | 12.2820i | −0.217165 | + | 0.424781i | |||||
0 | 0 | |||||||||
−10.7365 | + | 44.5873i | −0.370887 | + | 1.54024i | |||||
−24.9381 | −0.860959 | −0.430479 | − | 0.902600i | ||||||
−0.430479 | + | 0.902600i | ||||||||
0 | 0 | |||||||||
42.3693 | 1.46101 | |||||||||
−10.1322 | + | 42.0775i | −0.349178 | + | 1.45009i | |||||
0 | 0 | |||||||||
7.12311 | + | 3.64162i | 0.245187 | + | 0.125350i | |||||
−3.09501 | + | 2.83453i | −0.106472 | + | 0.0975108i | |||||
0 | 0 | |||||||||
5.73384 | 0.197017 | |||||||||
16.4990 | − | 11.9188i | 0.566577 | − | 0.409292i | |||||
0 | 0 | |||||||||
3.47722 | − | 10.3505i | 0.119268 | − | 0.355019i | |||||
25.8040i | 0.884551i | |||||||||
0 | 0 | |||||||||
−45.5249 | −1.55874 | −0.779371 | − | 0.626563i | ||||||
−0.779371 | + | 0.626563i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
23.6155 | + | 20.2530i | 0.807162 | + | 0.692235i | |||||
−40.7188 | −1.39093 | −0.695464 | − | 0.718561i | ||||||
−0.695464 | + | 0.718561i | ||||||||
0 | 0 | |||||||||
−33.7538 | −1.15166 | −0.575832 | − | 0.817568i | ||||||
−0.575832 | + | 0.817568i | ||||||||
−9.24074 | − | 33.5329i | −0.315107 | − | 1.14346i | |||||
0 | 0 | |||||||||
−1.98813 | − | 0.478739i | −0.0677160 | − | 0.0163059i | |||||
45.6786i | 1.55492i | 0.628935 | + | 0.777458i | ||||||
−0.628935 | + | 0.777458i | ||||||||
0 | 0 | |||||||||
2.56155 | + | 2.79695i | 0.0870954 | + | 0.0950991i | |||||
5.15002 | − | 21.3873i | 0.175005 | − | 0.726770i | |||||
0 | 0 | |||||||||
7.08084 | − | 13.8503i | 0.240339 | − | 0.470111i | |||||
−2.25801 | −0.0765978 | |||||||||
0 | 0 | |||||||||
40.5061i | 1.37250i | |||||||||
21.9986 | − | 25.6509i | 0.744967 | − | 0.868650i | |||||
0 | 0 | |||||||||
−3.50758 | + | 14.5665i | −0.118646 | + | 0.492718i | |||||
−6.36679 | − | 8.31118i | −0.215237 | − | 0.280969i | |||||
0 | 0 | |||||||||
46.5766 | 1.57278 | 0.786389 | − | 0.617731i | ||||||
0.786389 | + | 0.617731i | ||||||||
8.92652 | − | 37.0706i | 0.301256 | − | 1.25107i | |||||
0 | 0 | |||||||||
3.99579 | − | 19.3439i | 0.134698 | − | 0.652082i | |||||
5.83095i | 0.196450i | 0.995164 | + | 0.0982249i | ||||||
−0.995164 | + | 0.0982249i | ||||||||
0 | 0 | |||||||||
0 | 0 | 1.00000 | ||||||||
−1.00000 | ||||||||||
−9.17104 | − | 4.68860i | −0.308455 | − | 0.157695i | |||||
0 | 0 | |||||||||
−34.4924 | − | 8.30571i | −1.15880 | − | 0.279036i | |||||
16.2177i | 0.544538i | 0.962221 | + | 0.272269i | ||||||
−0.962221 | + | 0.272269i | ||||||||
0 | 0 | |||||||||
4.38447 | 0.147050 | |||||||||
−20.0127 | − | 36.1848i | −0.670828 | − | 1.21292i | |||||
0 | 0 | |||||||||
39.1752 | + | 20.0279i | 1.31168 | + | 0.670584i | |||||
− | 33.5968i | − | 1.12427i | |||||||
0 | 0 | |||||||||
12.4041 | + | 13.5440i | 0.414623 | + | 0.452725i | |||||
0.881502 | − | 10.5577i | 0.0294489 | − | 0.352709i | |||||
0 | 0 | |||||||||
−3.27749 | + | 13.6110i | −0.109371 | + | 0.454203i | |||||
− | 70.1670i | − | 2.34020i | |||||||
0 | 0 | |||||||||
7.85741i | 0.261768i | |||||||||
17.7046 | + | 4.26324i | 0.589499 | + | 0.141950i | |||||
0 | 0 | |||||||||
26.9309 | + | 23.0963i | 0.895707 | + | 0.768172i | |||||
7.04383 | + | 7.69113i | 0.234145 | + | 0.255662i | |||||
0 | 0 | |||||||||
16.5129i | 0.548300i | 0.961687 | + | 0.274150i | ||||||
−0.961687 | + | 0.274150i | ||||||||
−5.49966 | − | 2.81164i | −0.182512 | − | 0.0933077i | |||||
0 | 0 | |||||||||
−8.64239 | + | 4.77985i | −0.286492 | + | 0.158451i | |||||
36.6842 | 1.21540 | 0.607700 | − | 0.794167i | ||||||
0.607700 | + | 0.794167i | ||||||||
0 | 0 | |||||||||
− | 31.1107i | − | 1.02962i | |||||||
−4.42702 | + | 18.3848i | −0.146433 | + | 0.608114i | |||||
0 | 0 | |||||||||
−2.38447 | + | 4.66410i | −0.0787852 | + | 0.154106i | |||||
− | 0.580639i | − | 0.0191744i | |||||||
0 | 0 | |||||||||
− | 30.1554i | − | 0.994735i | −0.867540 | − | 0.497368i | ||||
0.867540 | − | 0.497368i | ||||||||
−0.699266 | − | 21.4433i | −0.0230541 | − | 0.706964i | |||||
0 | 0 | |||||||||
−2.54635 | − | 0.613157i | −0.0838597 | − | 0.0201933i | |||||
−39.1746 | −1.28945 | |||||||||
0 | 0 | |||||||||
3.33513 | − | 37.8869i | 0.109658 | − | 1.24571i | |||||
−18.1836 | − | 4.37857i | −0.597549 | − | 0.143889i | |||||
0 | 0 | |||||||||
−18.1379 | − | 44.2135i | −0.595407 | − | 1.45138i | |||||
3.00252i | 0.0985096i | 0.998786 | + | 0.0492548i | ||||||
−0.998786 | + | 0.0492548i | ||||||||
0 | 0 | |||||||||
19.1231 | 0.626734 | |||||||||
−36.4248 | − | 18.6218i | −1.19313 | − | 0.609978i | |||||
0 | 0 | |||||||||
26.0000 | + | 6.26075i | 0.850746 | + | 0.204858i | |||||
5.15002 | + | 5.62329i | 0.168424 | + | 0.183901i | |||||
0 | 0 | |||||||||
0 | 0 | 1.00000 | ||||||||
−1.00000 | ||||||||||
3.76539 | − | 15.6371i | 0.122944 | − | 0.510570i | |||||
0 | 0 | |||||||||
12.7811 | + | 46.3801i | 0.416872 | + | 1.51275i | |||||
−3.29801 | −0.107512 | −0.0537561 | − | 0.998554i | ||||||
−0.0537561 | + | 0.998554i | ||||||||
0 | 0 | |||||||||
19.7802 | 0.644133 | |||||||||
−34.6736 | + | 25.0481i | −1.12853 | + | 0.815245i | |||||
0 | 0 | |||||||||
23.6155 | + | 5.68658i | 0.767807 | + | 0.184887i | |||||
32.9979 | 1.07229 | 0.536144 | − | 0.844126i | ||||||
0.536144 | + | 0.844126i | ||||||||
0 | 0 | |||||||||
18.6564i | 0.605612i | |||||||||
7.03272 | − | 20.9340i | 0.228171 | − | 0.679187i | |||||
0 | 0 | |||||||||
3.10457 | + | 2.66253i | 0.100620 | + | 0.0862931i | |||||
12.5435 | 0.406323 | 0.203162 | − | 0.979145i | ||||||
0.203162 | + | 0.979145i | ||||||||
0 | 0 | |||||||||
21.7538 | − | 19.9230i | 0.703936 | − | 0.644692i | |||||
41.8342 | + | 21.3873i | 1.35301 | + | 0.691715i | |||||
0 | 0 | |||||||||
−20.1261 | − | 4.84632i | −0.650244 | − | 0.156578i | |||||
−1.44600 | −0.0466939 | |||||||||
0 | 0 | |||||||||
−37.9848 | −1.22532 | |||||||||
−34.8806 | − | 8.39919i | −1.12460 | − | 0.270801i | |||||
0 | 0 | |||||||||
−7.12311 | − | 3.64162i | −0.229420 | − | 0.117289i | |||||
35.2381 | + | 38.4764i | 1.13436 | + | 1.23860i | |||||
0 | 0 | |||||||||
15.0981 | 0.485522 | 0.242761 | − | 0.970086i | ||||||
0.242761 | + | 0.970086i | ||||||||
−13.1463 | − | 11.2745i | −0.422538 | − | 0.362375i | |||||
0 | 0 | |||||||||
−3.34225 | − | 6.04308i | −0.107313 | − | 0.194032i | |||||
− | 19.8753i | − | 0.637829i | −0.947783 | − | 0.318915i | ||||
0.947783 | − | 0.318915i | ||||||||
0 | 0 | |||||||||
−11.2371 | −0.360245 | |||||||||
40.5467 | + | 9.76356i | 1.29920 | + | 0.312845i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−37.6305 | −1.20390 | −0.601952 | − | 0.798532i | ||||||
−0.601952 | + | 0.798532i | ||||||||
0 | 0 | |||||||||
28.8769 | 0.922910 | |||||||||
−26.3993 | + | 7.27492i | −0.843295 | + | 0.232389i | |||||
0 | 0 | |||||||||
−5.41327 | + | 22.4805i | −0.172744 | + | 0.717383i | |||||
− | 53.0438i | − | 1.69183i | −0.533315 | − | 0.845917i | ||||
0.533315 | − | 0.845917i | ||||||||
0 | 0 | |||||||||
−7.43845 | − | 8.12201i | −0.237009 | − | 0.258789i | |||||
17.9361 | + | 4.31897i | 0.571201 | + | 0.137544i | |||||
0 | 0 | |||||||||
−18.5485 | − | 9.48274i | −0.590107 | − | 0.301686i | |||||
26.3841 | 0.838966 | |||||||||
0 | 0 | |||||||||
− | 17.6339i | − | 0.560159i | −0.959977 | − | 0.280080i | ||||
0.959977 | − | 0.280080i | ||||||||
−43.4686 | + | 17.8324i | −1.38013 | + | 0.566178i | |||||
0 | 0 | |||||||||
15.1231 | + | 3.64162i | 0.479676 | + | 0.115505i | |||||
26.6311 | + | 29.0784i | 0.844264 | + | 0.921848i | |||||
0 | 0 | |||||||||
25.5141 | 0.808039 | 0.404019 | − | 0.914750i | ||||||
0.404019 | + | 0.914750i | ||||||||
−23.2043 | − | 5.58755i | −0.734519 | − | 0.176871i | |||||
0 | 0 |