Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [605,2,Mod(364,605)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(605, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("605.364");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 605.b (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: | 8.0.1480160000.1 |
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 55) |
Sato-Tate group: |
Embedding invariants
Embedding label | 364.3 | ||
Root | of defining polynomial | ||
Character | 605.364 | ||
Dual form | 605.2.b.g.364.6 |
-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 .
− | 1.23399i | − | 0.872565i | −0.899810 | − | 0.436283i | ||||
0.899810 | − | 0.436283i | ||||||||
− | 0.363982i | − | 0.210145i | −0.994465 | − | 0.105073i | ||||
0.994465 | − | 0.105073i | ||||||||
0.477260 | 0.238630 | |||||||||
1.29496 | − | 1.82293i | 0.579125 | − | 0.815239i | |||||
−0.449152 | −0.183365 | |||||||||
− | 2.58558i | − | 0.977257i | −0.872492 | − | 0.488629i | ||||
0.872492 | − | 0.488629i | ||||||||
− | 3.05692i | − | 1.08079i | |||||||
2.86752 | 0.955839 | |||||||||
−2.24948 | − | 1.59798i | −0.711349 | − | 0.505324i | |||||
0 | 0 | |||||||||
− | 0.173714i | − | 0.0501470i | |||||||
2.75929i | 0.765290i | 0.923895 | + | 0.382645i | ||||||
−0.923895 | + | 0.382645i | ||||||||
−3.19059 | −0.852721 | |||||||||
−0.663514 | − | 0.471344i | −0.171319 | − | 0.121700i | |||||
−2.81770 | −0.704426 | |||||||||
3.85124i | 0.934063i | 0.884241 | + | 0.467031i | ||||||
−0.884241 | + | 0.467031i | ||||||||
− | 3.53850i | − | 0.834032i | |||||||
0.277591 | 0.0636838 | 0.0318419 | − | 0.999493i | ||||||
0.0318419 | + | 0.999493i | ||||||||
0.618034 | − | 0.870011i | 0.138197 | − | 0.194540i | |||||
−0.941105 | −0.205366 | |||||||||
0 | 0 | |||||||||
8.40180i | 1.75190i | 0.482406 | + | 0.875948i | ||||||
−0.482406 | + | 0.875948i | ||||||||
−1.11267 | −0.227122 | |||||||||
−1.64614 | − | 4.72125i | −0.329228 | − | 0.944250i | |||||
3.40495 | 0.667766 | |||||||||
− | 2.13567i | − | 0.411010i | |||||||
− | 1.23399i | − | 0.233203i | |||||||
−3.32307 | −0.617079 | −0.308539 | − | 0.951212i | ||||||
−0.308539 | + | 0.951212i | ||||||||
−0.581635 | + | 0.818772i | −0.106192 | + | 0.149487i | |||||
0.564263 | 0.101345 | 0.0506723 | − | 0.998715i | ||||||
0.0506723 | + | 0.998715i | ||||||||
− | 2.63682i | − | 0.466128i | |||||||
0 | 0 | |||||||||
4.75241 | 0.815031 | |||||||||
−4.71333 | − | 3.34823i | −0.796698 | − | 0.565954i | |||||
1.36855 | 0.228092 | |||||||||
− | 0.522583i | − | 0.0859121i | −0.999077 | − | 0.0429560i | ||||
0.999077 | − | 0.0429560i | ||||||||
− | 0.342546i | − | 0.0555682i | |||||||
1.00433 | 0.160822 | |||||||||
−5.57255 | − | 3.95860i | −0.881098 | − | 0.625910i | |||||
−5.11188 | −0.798341 | −0.399170 | − | 0.916877i | ||||||
−0.399170 | + | 0.916877i | ||||||||
1.16132i | 0.179195i | |||||||||
− | 2.54457i | − | 0.388043i | −0.980997 | − | 0.194022i | ||||
0.980997 | − | 0.194022i | ||||||||
0 | 0 | |||||||||
3.71333 | − | 5.22728i | 0.553550 | − | 0.779237i | |||||
10.3678 | 1.52864 | |||||||||
− | 4.92477i | − | 0.718351i | −0.933270 | − | 0.359176i | ||||
0.933270 | − | 0.359176i | ||||||||
1.02559i | 0.148032i | |||||||||
0.314780 | 0.0449686 | |||||||||
−5.82599 | + | 2.03133i | −0.823920 | + | 0.287273i | |||||
1.40178 | 0.196289 | |||||||||
1.31690i | 0.182621i | |||||||||
8.72086i | 1.19790i | 0.800786 | + | 0.598951i | ||||||
−0.800786 | + | 0.598951i | ||||||||
−2.63541 | −0.358633 | |||||||||
0 | 0 | |||||||||
−7.90392 | −1.05621 | |||||||||
− | 0.101038i | − | 0.0133828i | |||||||
4.10065i | 0.538441i | |||||||||
−7.50726 | −0.977362 | −0.488681 | − | 0.872463i | ||||||
−0.488681 | + | 0.872463i | ||||||||
−0.316669 | − | 0.224953i | −0.0408818 | − | 0.0290414i | |||||
14.1791 | 1.81544 | 0.907721 | − | 0.419573i | ||||||
0.907721 | + | 0.419573i | ||||||||
− | 0.696297i | − | 0.0884298i | |||||||
− | 7.41419i | − | 0.934100i | |||||||
−8.88922 | −1.11115 | |||||||||
5.03000 | + | 3.57318i | 0.623894 | + | 0.443199i | |||||
0 | 0 | |||||||||
3.20618i | 0.391698i | 0.980634 | + | 0.195849i | ||||||
−0.980634 | + | 0.195849i | ||||||||
1.83804i | 0.222895i | |||||||||
3.05810 | 0.368153 | |||||||||
−4.13169 | + | 5.81622i | −0.493832 | + | 0.695171i | |||||
−8.40099 | −0.997014 | −0.498507 | − | 0.866886i | ||||||
−0.498507 | + | 0.866886i | ||||||||
− | 8.76578i | − | 1.03306i | |||||||
13.0353i | 1.52566i | 0.646598 | + | 0.762831i | ||||||
−0.646598 | + | 0.762831i | ||||||||
−0.644864 | −0.0749639 | |||||||||
−1.71845 | + | 0.599167i | −0.198430 | + | 0.0691858i | |||||
0.132483 | 0.0151969 | |||||||||
0 | 0 | |||||||||
− | 1.23934i | − | 0.140328i | |||||||
−9.70425 | −1.09181 | −0.545907 | − | 0.837846i | ||||||
−0.545907 | + | 0.837846i | ||||||||
−3.64882 | + | 5.13647i | −0.407951 | + | 0.574275i | |||||
7.82520 | 0.869467 | |||||||||
6.30802i | 0.696604i | |||||||||
− | 3.29699i | − | 0.361892i | −0.983493 | − | 0.180946i | ||||
0.983493 | − | 0.180946i | ||||||||
−0.449152 | −0.0490065 | |||||||||
7.02054 | + | 4.98721i | 0.761484 | + | 0.540939i | |||||
−3.13998 | −0.338593 | |||||||||
1.20954i | 0.129676i | |||||||||
0 | 0 | |||||||||
−2.48823 | −0.263752 | −0.131876 | − | 0.991266i | ||||||
−0.131876 | + | 0.991266i | ||||||||
−6.45043 | − | 4.58222i | −0.679935 | − | 0.483009i | |||||
7.13437 | 0.747885 | |||||||||
4.00984i | 0.418055i | |||||||||
− | 0.205382i | − | 0.0212971i | |||||||
−6.07713 | −0.626808 | |||||||||
0.359470 | − | 0.506029i | 0.0368809 | − | 0.0519175i | |||||
−0.959755 | −0.0979546 | |||||||||
− | 10.9014i | − | 1.10687i | −0.832891 | − | 0.553437i | ||||
0.832891 | − | 0.553437i | ||||||||
− | 0.388437i | − | 0.0392380i | |||||||
0 | 0 | |||||||||
−0.785638 | − | 2.25326i | −0.0785638 | − | 0.225326i | |||||
13.8382 | 1.37696 | 0.688478 | − | 0.725257i | ||||||
0.688478 | + | 0.725257i | ||||||||
− | 1.72979i | − | 0.171275i | |||||||
− | 13.3899i | − | 1.31935i | −0.751553 | − | 0.659673i | ||||
0.751553 | − | 0.659673i | ||||||||
8.43495 | 0.827115 | |||||||||
−1.21870 | + | 1.71557i | −0.118933 | + | 0.167422i | |||||
10.7615 | 1.04525 | |||||||||
10.2594i | 0.991815i | 0.868375 | + | 0.495907i | ||||||
−0.868375 | + | 0.495907i | ||||||||
− | 1.01927i | − | 0.0980794i | |||||||
4.94262 | 0.473417 | 0.236708 | − | 0.971581i | ||||||
0.236708 | + | 0.971581i | ||||||||
0 | 0 | |||||||||
−0.190211 | −0.0180540 | |||||||||
7.28539i | 0.688405i | |||||||||
9.92408i | 0.933579i | 0.884369 | + | 0.466789i | ||||||
−0.884369 | + | 0.466789i | ||||||||
−0.124681 | −0.0116774 | |||||||||
15.3159 | + | 10.8800i | 1.42821 | + | 1.01457i | |||||
−1.58597 | −0.147254 | |||||||||
7.91232i | 0.731494i | |||||||||
9.26391i | 0.852812i | |||||||||
9.95769 | 0.912820 | |||||||||
−1.44086 | + | 2.02831i | −0.131532 | + | 0.185159i | |||||
0 | 0 | |||||||||
− | 17.4969i | − | 1.58409i | |||||||
1.86063i | 0.167768i | |||||||||
0.269300 | 0.0241839 | |||||||||
−10.7382 | − | 3.11304i | −0.960454 | − | 0.278439i | |||||
−9.14906 | −0.815063 | |||||||||
11.1357i | 0.988138i | 0.869423 | + | 0.494069i | ||||||
−0.869423 | + | 0.494069i | ||||||||
5.69561i | 0.503425i | |||||||||
−0.926179 | −0.0815455 | |||||||||
4.40928 | − | 6.20698i | 0.386720 | − | 0.544388i | |||||
10.1649 | 0.888114 | 0.444057 | − | 0.895999i | ||||||
0.444057 | + | 0.895999i | ||||||||
0 | 0 | |||||||||
− | 0.717734i | − | 0.0622354i | |||||||
3.95641 | 0.341782 | |||||||||
−3.89318 | − | 2.76562i | −0.335072 | − | 0.238026i | |||||
11.7729 | 1.00952 | |||||||||
− | 4.34606i | − | 0.371309i | −0.982615 | − | 0.185655i | ||||
0.982615 | − | 0.185655i | ||||||||
− | 3.77368i | − | 0.321237i | |||||||
8.30246 | 0.704206 | 0.352103 | − | 0.935961i | ||||||
0.352103 | + | 0.935961i | ||||||||
−2.24948 | − | 1.59798i | −0.190116 | − | 0.135054i | |||||
−1.79253 | −0.150958 | |||||||||
10.3668i | 0.869960i | |||||||||
0 | 0 | |||||||||
−8.07981 | −0.673318 | |||||||||
−4.30325 | + | 6.05772i | −0.357366 | + | 0.503067i | |||||
16.0854 | 1.33124 | |||||||||
− | 0.114574i | − | 0.00944994i | |||||||
− | 0.249408i | − | 0.0205012i | |||||||
−8.46690 | −0.693636 | −0.346818 | − | 0.937933i | ||||||
−0.346818 | + | 0.937933i | ||||||||
0.739368 | + | 2.12056i | 0.0603691 | + | 0.173143i | |||||
11.1023 | 0.903493 | 0.451746 | − | 0.892146i | ||||||
0.451746 | + | 0.892146i | ||||||||
− | 0.848575i | − | 0.0688285i | |||||||
11.0435i | 0.892814i | |||||||||
0 | 0 | |||||||||
0.730700 | − | 1.02861i | 0.0586912 | − | 0.0826201i | |||||
0.479328 | 0.0383770 | |||||||||
13.7662i | 1.09867i | 0.835604 | + | 0.549333i | ||||||
−0.835604 | + | 0.549333i | ||||||||
11.9750i | 0.952678i | |||||||||
3.17424 | 0.251734 | |||||||||
−4.80673 | − | 3.41458i | −0.380006 | − | 0.269946i | |||||
21.7235 | 1.71205 | |||||||||
− | 9.65625i | − | 0.758667i | |||||||
− | 8.94093i | − | 0.700308i | −0.936692 | − | 0.350154i | ||||
0.936692 | − | 0.350154i | ||||||||
−2.43969 | −0.190508 | |||||||||
0 | 0 | |||||||||
−4.06846 | −0.315774 | |||||||||
− | 16.9182i | − | 1.30917i | −0.755990 | − | 0.654583i | ||||
0.755990 | − | 0.654583i | ||||||||
2.87689i | 0.221957i | |||||||||
5.38630 | 0.414331 | |||||||||
6.15419 | − | 8.66330i | 0.472005 | − | 0.664445i | |||||
0.795997 | 0.0608714 | |||||||||
− | 1.21442i | − | 0.0925988i | |||||||
− | 3.37990i | − | 0.256969i | −0.991712 | − | 0.128484i | ||||
0.991712 | − | 0.128484i | ||||||||
1.49256 | 0.113151 | |||||||||
−12.2072 | + | 4.25623i | −0.922775 | + | 0.321741i | |||||
0 | 0 | |||||||||
2.73251i | 0.205388i | |||||||||
3.07046i | 0.230141i | |||||||||
−13.8239 | −1.03325 | −0.516624 | − | 0.856212i | ||||||
−0.516624 | + | 0.856212i | ||||||||
1.77222 | − | 2.49477i | 0.132094 | − | 0.185949i | |||||
−2.59901 | −0.193183 | −0.0965913 | − | 0.995324i | ||||||
−0.0965913 | + | 0.995324i | ||||||||
− | 8.80377i | − | 0.652579i | |||||||
− | 5.16093i | − | 0.381507i | |||||||
25.6836 | 1.89342 | |||||||||
−0.952632 | − | 0.676725i | −0.0700389 | − | 0.0497538i | |||||
−0.253440 | −0.0185831 | |||||||||
0 | 0 | |||||||||
− | 2.35039i | − | 0.171420i | |||||||
−5.52195 | −0.401663 | |||||||||
−0.624436 | − | 0.443584i | −0.0453014 | − | 0.0321810i | |||||
2.21832 | 0.160512 | 0.0802560 | − | 0.996774i | ||||||
0.0802560 | + | 0.996774i | ||||||||
3.23552i | 0.233504i | |||||||||
10.4765i | 0.754112i | 0.926190 | + | 0.377056i | ||||||
−0.926190 | + | 0.377056i | ||||||||
−13.4523 | −0.965820 | |||||||||
1.30058 | − | 1.83083i | 0.0931361 | − | 0.131108i | |||||
0.150232 | 0.0107309 | |||||||||
− | 1.32667i | − | 0.0945210i | −0.998883 | − | 0.0472605i | ||||
0.998883 | − | 0.0472605i | ||||||||
0 | 0 | |||||||||
5.20321 | 0.368846 | 0.184423 | − | 0.982847i | ||||||
0.184423 | + | 0.982847i | ||||||||
−14.4325 | + | 5.03213i | −1.02053 | + | 0.355825i | |||||
1.16699 | 0.0823134 | |||||||||
− | 17.0763i | − | 1.20148i | |||||||
8.59206i | 0.603045i | |||||||||
0.669015 | 0.0468404 | |||||||||
−6.61969 | + | 9.31859i | −0.462339 | + | 0.650838i | |||||
−16.5230 | −1.15122 | |||||||||
24.0923i | 1.67453i | |||||||||
− | 7.77487i | − | 0.539090i | |||||||
0 | 0 | |||||||||
2.11700 | + | 1.50386i | 0.146087 | + | 0.103776i | |||||
18.9165 | 1.30227 | 0.651134 | − | 0.758963i | ||||||
0.651134 | + | 0.758963i | ||||||||
4.16212i | 0.285855i | |||||||||
3.05781i | 0.209518i | |||||||||
12.6600 | 0.865423 | |||||||||
−4.63857 | − | 3.29512i | −0.316348 | − | 0.224726i | |||||
−6.52859 | −0.444214 | |||||||||
− | 1.45895i | − | 0.0990398i | |||||||
− | 6.09916i | − | 0.413087i | |||||||
4.74460 | 0.320611 | |||||||||
0 | 0 | |||||||||
−10.6267 | −0.714829 | |||||||||
0.234719i | 0.0157533i | |||||||||
− | 21.8723i | − | 1.46468i | −0.680942 | − | 0.732338i | ||||
0.680942 | − | 0.732338i | ||||||||
−6.81770 | −0.455527 | |||||||||
−4.72034 | − | 13.5383i | −0.314689 | − | 0.902551i | |||||
12.2462 | 0.814608 | |||||||||
− | 2.43865i | − | 0.161859i | −0.996720 | − | 0.0809294i | ||||
0.996720 | − | 0.0809294i | ||||||||
− | 0.0482215i | − | 0.00319355i | |||||||
−7.30119 | −0.482476 | −0.241238 | − | 0.970466i | ||||||
−0.241238 | + | 0.970466i | ||||||||
13.4259 | − | 18.8997i | 0.885275 | − | 1.24621i | |||||
0 | 0 | |||||||||
10.1584i | 0.666930i | |||||||||
− | 4.45831i | − | 0.292073i | −0.989279 | − | 0.146037i | ||||
0.989279 | − | 0.146037i | ||||||||
9.76375 | 0.638276 | |||||||||
−8.97750 | − | 6.37739i | −0.585628 | − | 0.416015i | |||||
−3.58291 | −0.233228 | |||||||||
3.53217i | 0.229439i | |||||||||
− | 12.2877i | − | 0.796495i | |||||||
−24.1747 | −1.56373 | −0.781867 | − | 0.623446i | ||||||
−0.781867 | + | 0.623446i | ||||||||
1.86959 | + | 1.32811i | 0.120681 | + | 0.0857289i | |||||
−12.0393 | −0.775522 | −0.387761 | − | 0.921760i | ||||||
−0.387761 | + | 0.921760i | ||||||||
0 | 0 | |||||||||
− | 9.25525i | − | 0.593725i | |||||||
6.76710 | 0.433219 | |||||||||
0.407629 | − | 0.573822i | 0.0260424 | − | 0.0366601i | |||||
2.29601 | 0.146388 | |||||||||
0.765955i | 0.0487366i | |||||||||
− | 1.72491i | − | 0.109532i | |||||||
−1.20005 | −0.0760498 | |||||||||
−3.84148 | + | 13.2509i | −0.242956 | + | 0.838059i | |||||
−0.536388 | −0.0338565 | −0.0169283 | − | 0.999857i | ||||||
−0.0169283 | + | 0.999857i | ||||||||
− | 3.53850i | − | 0.222904i | |||||||
0 | 0 | |||||||||
13.7414 | 0.862214 | |||||||||
1.81526 | − | 2.55535i | 0.113676 | − | 0.160022i | |||||
−10.7501 | −0.671882 | |||||||||
23.7199i | 1.47961i | 0.672822 | + | 0.739805i | ||||||
−0.672822 | + | 0.739805i | ||||||||
1.14290i | 0.0711538i | |||||||||
−1.35118 | −0.0839582 | |||||||||
2.40062 | + | 1.70534i | 0.148880 | + | 0.105761i | |||||
−9.52896 | −0.589828 | |||||||||
− | 12.5435i | − | 0.774937i | |||||||
4.97643i | 0.306860i | 0.988160 | + | 0.153430i | ||||||
−0.988160 | + | 0.153430i | ||||||||
0 | 0 | |||||||||
15.8975 | + | 11.2932i | 0.976576 | + | 0.693735i | |||||
−0.885679 | −0.0543044 | |||||||||
0.905671i | 0.0554262i | |||||||||
1.53018i | 0.0934708i | |||||||||
−28.8046 | −1.75625 | −0.878124 | − | 0.478434i | ||||||
−0.878124 | + | 0.478434i | ||||||||
−3.41275 | + | 4.80416i | −0.207694 | + | 0.292372i | |||||
−16.0762 | −0.976559 | −0.488280 | − | 0.872687i | ||||||
−0.488280 | + | 0.872687i | ||||||||
− | 10.8517i | − | 0.657978i | |||||||
− | 2.59679i | − | 0.157165i | |||||||
−5.36301 | −0.323992 | |||||||||
0 | 0 | |||||||||
1.45951 | 0.0878522 | |||||||||
18.0038i | 1.08174i | 0.841105 | + | 0.540871i | ||||||
−0.841105 | + | 0.540871i | ||||||||
− | 10.2452i | − | 0.614465i | |||||||
1.61803 | 0.0968692 | |||||||||
−10.2353 | + | 14.4083i | −0.611675 | + | 0.861059i | |||||
13.7150 | 0.818167 | 0.409084 | − | 0.912497i | ||||||
0.409084 | + | 0.912497i | ||||||||
2.21197i | 0.131721i | |||||||||
20.5044i | 1.21886i | 0.792839 | + | 0.609431i | ||||||
−0.792839 | + | 0.609431i | ||||||||
−4.00946 | −0.237918 | |||||||||
−0.184186 | − | 0.130841i | −0.0109102 | − | 0.00775034i | |||||
0 | 0 | |||||||||
13.2172i | 0.780184i | |||||||||
− | 7.56112i | − | 0.445543i | |||||||
2.16795 | 0.127526 | |||||||||
7.47519 | + | 5.31019i | 0.438958 | + | 0.311825i | |||||
−3.96793 | −0.232604 | |||||||||
6.22121i | 0.364069i | |||||||||
− | 22.4133i | − | 1.30940i | −0.755890 | − | 0.654699i | ||||
0.755890 | − | 0.654699i | ||||||||
−0.141384 | −0.00824569 | |||||||||
−9.72162 | + | 13.6852i | −0.566015 | + | 0.796783i | |||||
−1.59750 | −0.0928525 | |||||||||
0 | 0 | |||||||||
10.4481i | 0.605242i | |||||||||
−23.1830 | −1.34071 | |||||||||
−0.820148 | + | 0.285958i | −0.0473513 | + | 0.0165098i | |||||
−6.57919 | −0.379218 | |||||||||
− | 13.7002i | − | 0.788356i | |||||||
− | 5.03688i | − | 0.289361i | |||||||
−0.782169 | −0.0448605 | |||||||||
18.3614 | − | 25.8474i | 1.05137 | − | 1.48002i | |||||
13.6276 | 0.779038 | |||||||||
− | 20.3044i | − | 1.15883i | −0.815032 | − | 0.579416i | ||||
0.815032 | − | 0.579416i | ||||||||
0 | 0 | |||||||||
−4.87369 | −0.277254 | |||||||||
−1.26930 | − | 0.901679i | −0.0720914 | − | 0.0512119i | |||||
−8.75881 | −0.496666 | −0.248333 | − | 0.968675i | ||||||
−0.248333 | + | 0.968675i | ||||||||
− | 3.07017i | − | 0.173814i | |||||||
− | 1.73123i | − | 0.0978550i | −0.998802 | − | 0.0489275i | ||||
0.998802 | − | 0.0489275i | ||||||||
16.9875 | 0.958657 | |||||||||
−13.5155 | − | 9.60110i | −0.761515 | − | 0.540961i | |||||
−4.63145 | −0.260539 | |||||||||
17.4764i | 0.981573i | 0.871280 | + | 0.490786i | ||||||
−0.871280 | + | 0.490786i | ||||||||
− | 3.91699i | − | 0.219654i | |||||||
0 | 0 | |||||||||
−11.5112 | + | 16.2044i | −0.643496 | + | 0.905855i | |||||
3.73424 | 0.208425 | |||||||||
− | 26.8067i | − | 1.49388i | |||||||
1.06907i | 0.0594846i | |||||||||
3.73466 | 0.207481 | |||||||||
13.0273 | − | 4.54219i | 0.722626 | − | 0.251955i | |||||
−11.0331 | −0.611064 | |||||||||
− | 1.79902i | − | 0.0994863i | |||||||
15.6266i | 0.862835i | |||||||||
−12.7334 | −0.702014 | |||||||||
0 | 0 | |||||||||
12.6193 | 0.693620 | 0.346810 | − | 0.937935i | ||||||
0.346810 | + | 0.937935i | ||||||||
− | 1.57352i | − | 0.0863582i | |||||||
− | 1.49852i | − | 0.0821181i | |||||||
−20.8769 | −1.14233 | |||||||||
5.84464 | + | 4.15189i | 0.319327 | + | 0.226842i | |||||
2.65175 | 0.144665 | |||||||||
− | 11.8599i | − | 0.646047i | −0.946391 | − | 0.323024i | ||||
0.946391 | − | 0.323024i | ||||||||
− | 6.64666i | − | 0.361531i | |||||||
3.61219 | 0.196187 | |||||||||
3.35062 | + | 2.38020i | 0.181713 | + | 0.129084i | |||||
0 | 0 | |||||||||
− | 0.982255i | − | 0.0531143i | |||||||
− | 18.9129i | − | 1.02120i | |||||||
−7.77856 | −0.419392 | |||||||||
3.96013 | − | 5.57471i | 0.213206 | − | 0.300132i | |||||
−4.17077 | −0.224222 | |||||||||
− | 22.3040i | − | 1.19734i | −0.800994 | − | 0.598672i | ||||
0.800994 | − | 0.598672i | ||||||||
0.577265i | 0.0309446i | |||||||||
−15.9679 | −0.854740 | −0.427370 | − | 0.904077i | ||||||
−0.427370 | + | 0.904077i | ||||||||
5.25216 | + | 15.0636i | 0.280740 | + | 0.805182i | |||||
5.89295 | 0.314542 | |||||||||
0 | 0 | |||||||||
− | 24.1406i | − | 1.28488i | −0.766337 | − | 0.642439i | ||||
0.766337 | − | 0.642439i | ||||||||
3.37190 | 0.179214 | |||||||||
−10.8790 | + | 15.3144i | −0.577396 | + | 0.812805i | |||||
−1.18753 | −0.0629391 | |||||||||
− | 3.62442i | − | 0.191825i | |||||||
17.0586i | 0.901577i | |||||||||
−20.3784 | −1.07553 | −0.537764 | − | 0.843095i | ||||||
−0.537764 | + | 0.843095i | ||||||||
−15.9794 | − | 11.3514i | −0.842188 | − | 0.598269i | |||||
−18.9229 | −0.995944 | |||||||||
3.20716i | 0.168564i | |||||||||
0 | 0 | |||||||||
3.40495 | 0.178468 | |||||||||
23.7624 | + | 16.8802i | 1.24378 | + | 0.883549i | |||||
−6.36855 | −0.332889 | |||||||||
− | 5.40430i | − | 0.282102i | −0.990002 | − | 0.141051i | ||||
0.990002 | − | 0.141051i | ||||||||
− | 23.6738i | − | 1.23408i | |||||||
−14.6584 | −0.763085 | |||||||||
−0.835075 | + | 1.17554i | −0.0434135 | + | 0.0611135i | |||||
22.5485 | 1.17066 | |||||||||
− | 0.0980205i | − | 0.00508213i | |||||||
− | 17.0982i | − | 0.885311i | −0.896692 | − | 0.442656i | ||||
0.896692 | − | 0.442656i | ||||||||
0 | 0 | |||||||||
−1.13309 | + | 3.90852i | −0.0585127 | + | 0.201835i | |||||
−15.0546 | −0.776384 | |||||||||
− | 9.16933i | − | 0.472244i | |||||||
6.81405i | 0.350477i | |||||||||
8.59196 | 0.441339 | 0.220670 | − | 0.975349i | ||||||
0.220670 | + | 0.975349i | ||||||||
0.171561 | − | 0.241507i | 0.00880088 | − | 0.0123891i | |||||
4.05321 | 0.207652 | |||||||||
− | 2.73739i | − | 0.140057i | |||||||
− | 9.66958i | − | 0.494093i | −0.969004 | − | 0.247046i | ||||
0.969004 | − | 0.247046i | ||||||||
2.07310 | 0.105792 | |||||||||
0 | 0 | |||||||||
12.9279 | 0.658012 | |||||||||
− | 7.29660i | − | 0.370907i | |||||||
− | 5.20283i | − | 0.264133i | |||||||
27.3693 | 1.38768 | 0.693841 | − | 0.720129i | ||||||
0.693841 | + | 0.720129i | ||||||||
−2.25923 | − | 1.60490i | −0.114401 | − | 0.0812673i | |||||
−32.3573 | −1.63638 | |||||||||
− | 0.962259i | − | 0.0486014i | |||||||
− | 3.69985i | − | 0.186633i | |||||||
−1.63710 | −0.0824758 | |||||||||
−12.5666 | + | 17.6902i | −0.632296 | + | 0.890088i | |||||
0 | 0 | |||||||||
10.6518i | 0.534596i | 0.963614 | + | 0.267298i | ||||||
−0.963614 | + | 0.267298i | ||||||||
− | 6.42073i | − | 0.321842i | |||||||
−0.261242 | −0.0130785 | |||||||||
4.63834 | + | 13.3031i | 0.231917 | + | 0.665154i | |||||
13.7146 | 0.684875 | 0.342437 | − | 0.939541i | ||||||
0.342437 | + | 0.939541i | ||||||||
− | 1.44006i | − | 0.0718238i | |||||||
1.55697i | 0.0775581i | |||||||||
6.60444 | 0.328583 | |||||||||
10.1333 | − | 14.2648i | 0.503530 | − | 0.708823i | |||||
10.6026 | 0.526196 | |||||||||
0 | 0 | |||||||||
− | 4.28514i | − | 0.212146i | |||||||
22.3083 | 1.10308 | 0.551538 | − | 0.834150i | ||||||
0.551538 | + | 0.834150i | ||||||||
11.4991 | + | 8.16865i | 0.567899 | + | 0.403421i | |||||
−1.58189 | −0.0780289 | |||||||||
− | 6.39046i | − | 0.314836i | |||||||
19.4106i | 0.955134i | |||||||||
29.7297 | 1.46114 | |||||||||
−6.01018 | − | 4.26948i | −0.295028 | − | 0.209581i | |||||
7.27576 | 0.356723 | |||||||||
− | 3.02195i | − | 0.147986i | |||||||
0 | 0 | |||||||||
0.510725 | 0.0249506 | 0.0124753 | − | 0.999922i | ||||||
0.0124753 | + | 0.999922i | ||||||||
−0.581635 | + | 0.818772i | −0.0283809 | + | 0.0399520i | |||||
13.2150 | 0.644058 | 0.322029 | − | 0.946730i | ||||||
0.322029 | + | 0.946730i | ||||||||
− | 23.3429i | − | 1.13631i | |||||||
− | 14.1219i | − | 0.686628i | |||||||
26.6590 | 1.29468 | |||||||||
18.1827 | − | 6.33969i | 0.881989 | − | 0.307520i | |||||
3.77332 | 0.182818 | |||||||||
− | 36.6611i | − | 1.77415i | |||||||
4.89641i | 0.236677i | |||||||||
0 | 0 | |||||||||
−4.06616 | + | 5.72397i | −0.196088 | + | 0.276034i | |||||
−29.4064 | −1.41645 | −0.708227 | − | 0.705985i | ||||||
−0.708227 | + | 0.705985i | ||||||||
6.01769i | 0.289526i | |||||||||
10.2165i | 0.490975i | 0.969400 | + | 0.245488i | ||||||
−0.969400 | + | 0.245488i | ||||||||
−1.80033 | −0.0864187 | |||||||||
2.20490 | + | 1.56631i | 0.105717 | + | 0.0750987i | |||||
2.35891 | 0.112971 | |||||||||
2.33226i | 0.111567i | |||||||||
− | 5.85481i | − | 0.279754i | |||||||
1.53306 | 0.0731691 | 0.0365846 | − | 0.999331i | ||||||
0.0365846 | + | 0.999331i | ||||||||
0 | 0 | |||||||||
0.902638 | 0.0429827 | |||||||||
13.1133i | 0.623735i | |||||||||
− | 3.39254i | − | 0.161185i | −0.996747 | − | 0.0805923i | ||||
0.996747 | − | 0.0805923i | ||||||||
−0.0907801 | −0.00430823 | |||||||||
−3.22216 | + | 4.53587i | −0.152745 | + | 0.215021i | |||||
−26.9902 | −1.27802 | |||||||||
3.08180i | 0.145764i | |||||||||
22.9838i | 1.08588i | |||||||||
32.3501 | 1.52669 | 0.763347 | − | 0.645989i | ||||||
0.763347 | + | 0.645989i | ||||||||
−16.7061 | + | 5.82487i | −0.787535 | + | 0.274587i | |||||
0 | 0 | |||||||||
4.73637i | 0.222780i | |||||||||
− | 4.04104i | − | 0.189865i | |||||||
−3.00928 | −0.141232 | |||||||||
9.23875 | − | 13.0055i | 0.433119 | − | 0.609705i | |||||
−0.308866 | −0.0144640 | |||||||||
12.1730i | 0.569427i | 0.958613 | + | 0.284714i | ||||||
−0.958613 | + | 0.284714i | ||||||||
9.00962i | 0.420992i | |||||||||
8.22499 | 0.383910 | |||||||||
7.30966 | + | 5.19260i | 0.340814 | + | 0.242106i | |||||
−16.5699 | −0.771739 | −0.385869 | − | 0.922553i | ||||||
−0.385869 | + | 0.922553i | ||||||||
0 | 0 | |||||||||
− | 14.6302i | − | 0.679924i | −0.940439 | − | 0.339962i | ||||
0.940439 | − | 0.339962i | ||||||||
9.36343 | 0.434686 | |||||||||
−0.374396 | − | 0.265962i | −0.0173622 | − | 0.0123337i | |||||
−5.50152 | −0.254853 | |||||||||
30.4853i | 1.41069i | 0.708862 | + | 0.705347i | ||||||
−0.708862 | + | 0.705347i | ||||||||
3.77623i | 0.174556i | |||||||||
8.28984 | 0.382789 | |||||||||
−7.86966 | + | 11.0782i | −0.363000 | + | 0.510998i | |||||
5.01067 | 0.230879 | |||||||||
22.9491i | 1.05632i | |||||||||
0 | 0 | |||||||||
4.35868 | 0.200201 | |||||||||
−0.456954 | − | 1.31058i | −0.0209665 | − | 0.0601334i | |||||
4.75241 | 0.217826 | |||||||||
25.0072i | 1.14500i | |||||||||
29.8315i | 1.36446i | |||||||||
−13.9993 | −0.639643 | −0.319822 | − | 0.947478i | ||||||
−0.319822 | + | 0.947478i | ||||||||
−1.24285 | + | 1.74957i | −0.0567280 | + | 0.0798564i | |||||
1.44196 | 0.0657477 | |||||||||
14.8565i | 0.676693i | |||||||||
− | 7.90697i | − | 0.359780i | |||||||
0 | 0 | |||||||||
−19.8726 | − | 14.1170i | −0.902367 | − | 0.641019i | |||||
−11.4209 | −0.518064 | |||||||||
34.1311i | 1.54663i | 0.634024 | + | 0.773313i | ||||||
−0.634024 | + | 0.773313i | ||||||||
− | 43.3443i | − | 1.96210i | |||||||
−3.25434 | −0.147166 | |||||||||
−0.708093 | − | 0.503011i | −0.0319884 | − | 0.0227237i | |||||
−3.19431 | −0.144157 | −0.0720786 | − | 0.997399i | ||||||
−0.0720786 | + | 0.997399i | ||||||||
0.888005i | 0.0400344i | |||||||||
− | 12.7979i | − | 0.576390i | |||||||
0.945184 | 0.0425258 | |||||||||
0 | 0 | |||||||||
−1.58993 | −0.0713898 | |||||||||
21.7214i | 0.974339i | |||||||||
1.48085i | 0.0663584i | |||||||||
−6.52850 | −0.292256 | −0.146128 | − | 0.989266i | ||||||
−0.146128 | + | 0.989266i | ||||||||
−5.12491 | − | 1.48573i | −0.229193 | − | 0.0664439i | |||||
−6.15791 | −0.275115 | |||||||||
0.661899i | 0.0295420i | |||||||||
− | 1.00387i | − | 0.0447603i | −0.999750 | − | 0.0223802i | ||||
0.999750 | − | 0.0223802i | ||||||||
−22.6646 | −1.00956 | |||||||||
17.9200 | − | 25.2261i | 0.797430 | − | 1.12255i | |||||
0 | 0 | |||||||||
− | 1.96052i | − | 0.0870697i | |||||||
5.31465i | 0.235799i | |||||||||
4.27401 | 0.189442 | 0.0947211 | − | 0.995504i | ||||||
0.0947211 | + | 0.995504i | ||||||||
−3.15329 | − | 2.24002i | −0.139630 | − | 0.0991896i | |||||
33.7037 | 1.49096 | |||||||||
24.6568i | 1.08969i | |||||||||
− | 0.592844i | − | 0.0261747i | |||||||
29.2703 | 1.29106 | |||||||||
−24.4088 | − | 17.3394i | −1.07558 | − | 0.764066i | |||||
−0.442028 | −0.0194592 | |||||||||
0 | 0 | |||||||||
1.66735i | 0.0732590i | |||||||||
−1.23022 | −0.0540008 | |||||||||
10.9229 | − | 15.3763i | 0.479003 | − | 0.674296i | |||||
−9.88817 | −0.433208 | −0.216604 | − | 0.976259i | ||||||
−0.216604 | + | 0.976259i | ||||||||
11.7587i | 0.514663i | |||||||||
− | 44.1670i | − | 1.93129i | −0.259870 | − | 0.965644i | ||||
0.259870 | − | 0.965644i | ||||||||
4.85131 | 0.211931 | |||||||||
1.54919 | + | 4.44319i | 0.0676123 | + | 0.193917i | |||||
6.14089 | 0.267755 | |||||||||
2.17311i | 0.0946623i | |||||||||
0 | 0 | |||||||||
−47.5902 | −2.06914 | |||||||||
13.9357 | − | 19.6174i | 0.605329 | − | 0.852127i | |||||
−21.5272 | −0.934200 | |||||||||
− | 0.342546i | − | 0.0148512i | |||||||
− | 14.1052i | − | 0.610963i | |||||||
1.11759 | 0.0483630 | |||||||||
18.7022 | + | 13.2856i | 0.808566 | + | 0.574385i | |||||
9.80105 | 0.423341 | |||||||||
5.03166i | 0.217132i | |||||||||
35.5447i | 1.53244i | |||||||||
0 | 0 | |||||||||
−1.85806 | − | 1.31992i | −0.0799581 | − | 0.0568002i | |||||
−21.2695 | −0.914449 | −0.457224 | − | 0.889351i | ||||||
−0.457224 | + | 0.889351i | ||||||||
19.8379i | 0.852112i | |||||||||
0.945992i | 0.0405964i | |||||||||
10.1550 | 0.435393 | |||||||||
6.40050 | − | 9.01004i | 0.274168 | − | 0.385948i | |||||
−3.20442 | −0.137136 | |||||||||
4.13393i | 0.176754i | 0.996087 | + | 0.0883771i | ||||||
−0.996087 | + | 0.0883771i | ||||||||
− | 2.07420i | − | 0.0886055i | |||||||
40.6587 | 1.73527 | |||||||||
0 | 0 | |||||||||
−0.922455 | −0.0392979 | |||||||||
− | 9.34839i | − | 0.397894i | |||||||
25.0911i | 1.06698i | |||||||||
22.2166 | 0.943891 | |||||||||
−0.246316 | + | 0.346741i | −0.0104555 | + | 0.0147183i | |||||
3.96243 | 0.168045 | |||||||||
31.6671i | 1.34178i | 0.741557 | + | 0.670890i | ||||||
−0.741557 | + | 0.670890i | ||||||||
− | 1.99664i | − | 0.0845247i | |||||||
7.02122 | 0.296966 | |||||||||
13.2808 | + | 9.43431i | 0.561214 | + | 0.398673i | |||||
0 | 0 | |||||||||
− | 16.9242i | − | 0.713904i | |||||||
12.7467i | 0.537210i | 0.963250 | + | 0.268605i | ||||||
−0.963250 | + | 0.268605i | ||||||||
−0.855502 | −0.0360231 | |||||||||
18.0909 | + | 12.8513i | 0.761090 | + | 0.540659i | |||||
25.3023 | 1.06354 | |||||||||
− | 20.2327i | − | 0.849693i | |||||||
25.6812i | 1.07756i | |||||||||
−15.6352 | −0.655461 | −0.327730 | − | 0.944771i | ||||||
−0.327730 | + | 0.944771i | ||||||||
−0.161457 | + | 0.227284i | −0.00676268 | + | 0.00951987i | |||||
−3.61999 | −0.151492 | −0.0757460 | − | 0.997127i | ||||||
−0.0757460 | + | 0.997127i | ||||||||
0 | 0 | |||||||||
− | 0.807429i | − | 0.0337308i | |||||||
16.3099 | 0.680762 | |||||||||
39.6670 | − | 13.8305i | 1.65423 | − | 0.576774i | |||||
−25.4900 | −1.06208 | |||||||||
− | 23.8352i | − | 0.992273i | −0.868245 | − | 0.496136i | ||||
0.868245 | − | 0.496136i | ||||||||
− | 2.67523i | − | 0.111275i | |||||||
3.81325 | 0.158473 | |||||||||
−2.05377 | + | 2.89111i | −0.0852782 | + | 0.120047i | |||||
−8.52463 | −0.353661 | |||||||||
4.89641i | 0.202963i | |||||||||
0 | 0 | |||||||||
39.8478 | 1.64891 | |||||||||
14.4236 | + | 10.2462i | 0.596342 | + | 0.423627i | |||||
−27.6578 | −1.14253 | |||||||||
− | 1.24698i | − | 0.0514684i | −0.999669 | − | 0.0257342i | ||||
0.999669 | − | 0.0257342i | ||||||||
− | 0.0546818i | − | 0.00225504i | |||||||
0.156634 | 0.00645401 | |||||||||
16.8874 | + | 11.9964i | 0.695245 | + | 0.493885i | |||||
−0.482883 | −0.0198631 | |||||||||
1.47248i | 0.0605187i | |||||||||
18.5288i | 0.760886i | 0.924804 | + | 0.380443i | ||||||
−0.924804 | + | 0.380443i | ||||||||
0 | 0 | |||||||||
12.8948 | − | 18.1522i | 0.528637 | − | 0.744166i | |||||
−4.04091 | −0.165522 | |||||||||
− | 1.89388i | − | 0.0775112i | |||||||
28.6077i | 1.16986i | |||||||||
−33.8359 | −1.38250 | −0.691248 | − | 0.722617i | ||||||
−0.691248 | + | 0.722617i | ||||||||
1.83161 | + | 5.25318i | 0.0747750 | + | 0.214460i | |||||
−21.3026 | −0.868951 | −0.434475 | − | 0.900684i | ||||||
−0.434475 | + | 0.900684i | ||||||||
8.11868i | 0.330893i | |||||||||
9.19378i | 0.374400i | |||||||||
5.29869 | 0.215601 | |||||||||
0 | 0 | |||||||||
−6.21547 | −0.252486 | |||||||||
− | 37.4601i | − | 1.52046i | −0.649654 | − | 0.760230i | ||||
0.649654 | − | 0.760230i | ||||||||
− | 0.731957i | − | 0.0296848i | |||||||
3.12736 | 0.126727 | |||||||||
−31.8956 | − | 22.6578i | −1.29141 | − | 0.917387i | |||||
13.5889 | 0.549747 | |||||||||
5.27062i | 0.213052i | |||||||||
− | 20.0047i | − | 0.807983i | −0.914763 | − | 0.403991i | ||||
0.914763 | − | 0.403991i | ||||||||
−25.0555 | −1.01116 | |||||||||
3.39180 | + | 2.40945i | 0.136771 | + | 0.0971584i | |||||
0 | 0 | |||||||||
− | 34.7932i | − | 1.40072i | −0.713790 | − | 0.700360i | ||||
0.713790 | − | 0.700360i | ||||||||
6.01410i | 0.241922i | |||||||||
46.0840 | 1.85227 | 0.926136 | − | 0.377189i | ||||||
0.926136 | + | 0.377189i | ||||||||
0.348734 | − | 0.490915i | 0.0140055 | − | 0.0197156i | |||||
17.9435 | 0.720047 | |||||||||
10.8083i | 0.433374i | |||||||||
6.43351i | 0.257753i | |||||||||
−2.82991 | −0.113287 | |||||||||
−19.5804 | + | 15.5437i | −0.783217 | + | 0.621748i | |||||
−2.13633 | −0.0853849 | |||||||||
0 | 0 | |||||||||
6.57008i | 0.262175i | |||||||||
2.01259 | 0.0802473 | |||||||||
−11.8477 | + | 16.6781i | −0.472024 | + | 0.664471i | |||||
−20.5380 | −0.817604 | −0.408802 | − | 0.912623i | ||||||
−0.408802 | + | 0.912623i | ||||||||
29.6651i | 1.18002i | |||||||||
− | 6.88529i | − | 0.273666i | |||||||
21.5658 | 0.856486 | |||||||||
20.2997 | + | 14.4204i | 0.805568 | + | 0.572255i | |||||
1.51494 | 0.0600712 | |||||||||
0.868571i | 0.0344140i | |||||||||
0 | 0 | |||||||||
−24.0900 | −0.952985 | |||||||||
10.3827 | + | 7.37560i | 0.410412 | + | 0.291546i | |||||
15.9095 | 0.628389 | 0.314194 | − | 0.949359i | ||||||
0.314194 | + | 0.949359i | ||||||||
− | 4.60803i | − | 0.181865i | |||||||
42.3039i | 1.66830i | 0.551536 | + | 0.834151i | ||||||
−0.551536 | + | 0.834151i | ||||||||
10.3678 | 0.408547 | |||||||||
−1.19937 | + | 1.68836i | −0.0472250 | + | 0.0664790i | |||||
1.31923 | 0.0519042 | |||||||||
7.48891i | 0.294419i | 0.989105 | + | 0.147210i | ||||||
−0.989105 | + | 0.147210i | ||||||||
− | 23.9210i | − | 0.939707i | |||||||
0 | 0 | |||||||||
−5.60503 | − | 16.0756i | −0.219847 | − | 0.630538i | |||||
−0.531031 | −0.0208127 | |||||||||
− | 4.26715i | − | 0.167114i | |||||||
16.4702i | 0.644531i | 0.946649 | + | 0.322265i | ||||||
−0.946649 | + | 0.322265i | ||||||||
−2.21999 | −0.0868083 | |||||||||
13.1632 | − | 18.5299i | 0.514329 | − | 0.724025i | |||||
14.4037 | 0.562372 | |||||||||
37.3788i | 1.45829i | |||||||||
15.7129i | 0.612553i | |||||||||
−23.7359 | −0.924619 | −0.462310 | − | 0.886719i | ||||||
−0.462310 | + | 0.886719i | ||||||||
0 | 0 | |||||||||
13.4183 | 0.521911 | 0.260956 | − | 0.965351i | ||||||
0.260956 | + | 0.965351i | ||||||||
− | 15.5721i | − | 0.605229i | |||||||
3.86793i | 0.150218i | |||||||||
−10.0786 | −0.391127 | |||||||||
−1.30838 | − | 0.929439i | −0.0507367 | − | 0.0360421i | |||||
−1.84916 | −0.0716534 | |||||||||
− | 27.9198i | − | 1.08106i | |||||||
− | 8.07436i | − | 0.312407i | |||||||
−7.96112 | −0.307795 | |||||||||
5.12340 | − | 7.21225i | 0.197934 | − | 0.278634i | |||||
0 | 0 | |||||||||
2.48152i | 0.0957268i | |||||||||
48.2870i | 1.86133i | 0.365875 | + | 0.930664i | ||||||
−0.365875 | + | 0.930664i | ||||||||
−14.6350 | −0.563718 | |||||||||
−10.0830 | + | 3.51562i | −0.388097 | + | 0.135316i | |||||
2.57067 | 0.0988718 | |||||||||
− | 24.3637i | − | 0.936374i | −0.883629 | − | 0.468187i | ||||
0.883629 | − | 0.468187i | ||||||||
− | 4.45742i | − | 0.171186i | |||||||
−28.1866 | −1.08170 | |||||||||
15.2455 | − | 21.4612i | 0.584639 | − | 0.823001i | |||||
−0.887625 | −0.0340139 | |||||||||
0 | 0 | |||||||||
38.9856i | 1.49174i | 0.666090 | + | 0.745871i | ||||||
−0.666090 | + | 0.745871i | ||||||||
0.379898 | 0.0145257 | |||||||||
−7.92257 | − | 5.62799i | −0.302706 | − | 0.215034i | |||||
−23.3384 | −0.891066 | |||||||||
2.65750i | 0.101390i | |||||||||
7.16984i | 0.273348i | |||||||||
−24.0634 | −0.916743 | |||||||||
−6.87915 | − | 4.88678i | −0.261885 | − | 0.186036i | |||||
5.91854 | 0.225152 | 0.112576 | − | 0.993643i | ||||||
0.112576 | + | 0.993643i | ||||||||
− | 1.61309i | − | 0.0613205i | |||||||
0 | 0 | |||||||||
−27.5230 | −1.04476 | |||||||||
10.7514 | − | 15.1348i | 0.407823 | − | 0.574096i | |||||
3.69747 | 0.140152 | |||||||||
− | 19.6871i | − | 0.745701i | |||||||
19.7042i | 0.745817i | |||||||||
−1.62275 | −0.0613779 | |||||||||
−5.82599 | + | 2.03133i | −0.220202 | + | 0.0767770i | |||||
11.9672 | 0.451996 | 0.225998 | − | 0.974128i | ||||||
0.225998 | + | 0.974128i | ||||||||
− | 7.27186i | − | 0.274459i | |||||||
− | 0.145064i | − | 0.00547120i | |||||||
0 | 0 | |||||||||
−2.32126 | + | 3.26765i | −0.0874236 | + | 0.123067i | |||||
−29.7894 | −1.12114 | |||||||||
− | 35.7799i | − | 1.34564i | |||||||
1.30412i | 0.0490117i | |||||||||
−6.80850 | −0.255699 | −0.127849 | − | 0.991794i | ||||||
−0.127849 | + | 0.991794i | ||||||||
18.8979 | + | 13.4246i | 0.709225 | + | 0.503816i | |||||
−27.8271 | −1.04360 | |||||||||
7.60633i | 0.285059i | |||||||||
4.74082i | 0.177545i | |||||||||
−4.47251 | −0.167380 | |||||||||
0 | 0 | |||||||||
−6.59761 | −0.246564 | |||||||||
8.79917i | 0.328611i | |||||||||
25.1468i | 0.938469i | |||||||||
9.26411 | 0.345493 | 0.172746 | − | 0.984966i | ||||||
0.172746 | + | 0.984966i | ||||||||
−10.4631 | + | 14.7289i | −0.389935 | + | 0.548915i | |||||
−34.6206 | −1.28934 | |||||||||
23.3508i | 0.869026i | |||||||||
4.38210i | 0.162972i | |||||||||
−1.24040 | −0.0460992 | |||||||||
5.47025 | + | 15.6891i | 0.203160 | + | 0.582677i | |||||
0 | 0 | |||||||||
− | 19.4121i | − | 0.719956i | −0.932961 | − | 0.359978i | ||||
0.932961 | − | 0.359978i | ||||||||
− | 21.8092i | − | 0.808304i | |||||||
20.1069 | 0.744699 | |||||||||
20.8300 | − | 29.3226i | 0.770954 | − | 1.08528i | |||||
9.79975 | 0.362457 | |||||||||
− | 2.46310i | − | 0.0910390i | |||||||
11.5620i | 0.427054i | 0.976937 | + | 0.213527i | ||||||
−0.976937 | + | 0.213527i | ||||||||
−6.66887 | −0.246153 | |||||||||
−0.208861 | − | 0.148370i | −0.00770396 | − | 0.00547270i | |||||
22.1540 | 0.816608 | |||||||||
0 | 0 | |||||||||
18.0884i | 0.665842i | |||||||||
−9.10736 | −0.335020 | −0.167510 | − | 0.985870i | ||||||
−0.167510 | + | 0.985870i | ||||||||
−0.454653 | − | 0.322974i | −0.0167134 | − | 0.0118728i | |||||
0.278794 | 0.0102418 | |||||||||
− | 27.8247i | − | 1.02148i | |||||||
0.0731008i | 0.00268181i | 0.999999 | + | 0.00134090i | ||||||
−0.999999 | + | 0.00134090i | ||||||||
−0.627836 | −0.0230176 | |||||||||
−10.9643 | + | 15.4346i | −0.401702 | + | 0.565479i | |||||
−21.0991 | −0.772492 | |||||||||
− | 9.45417i | − | 0.345910i | |||||||
0 | 0 | |||||||||
26.5265 | 0.969258 | |||||||||
4.82308 | + | 1.39823i | 0.176114 | + | 0.0510561i | |||||
−38.5239 | −1.40576 | −0.702878 | − | 0.711310i | ||||||
−0.702878 | + | 0.711310i | ||||||||
13.8765i | 0.506025i | |||||||||
0.195236i | 0.00711479i | |||||||||
−11.3149 | −0.412064 | |||||||||
14.3771 | − | 20.2387i | 0.523235 | − | 0.736562i | |||||
−2.63541 | −0.0958488 | |||||||||
− | 28.1617i | − | 1.02355i | −0.859118 | − | 0.511777i | ||||
0.859118 | − | 0.511777i | ||||||||
− | 10.6024i | − | 0.385097i | |||||||
0 | 0 | |||||||||
−1.54689 | − | 1.09887i | −0.0561116 | − | 0.0398603i | |||||
−29.4894 | −1.06899 | −0.534496 | − | 0.845171i | ||||||
−0.534496 | + | 0.845171i | ||||||||
− | 5.00164i | − | 0.181190i | |||||||
− | 12.7795i | − | 0.462650i | |||||||
1.05871 | 0.0383030 | |||||||||
20.1315 | + | 14.3009i | 0.727856 | + | 0.517051i | |||||
−11.9322 | −0.431128 | |||||||||
− | 20.7147i | − | 0.747965i | |||||||
3.91285i | 0.141193i | |||||||||
−8.42410 | −0.303781 | −0.151890 | − | 0.988397i | ||||||
−0.151890 | + | 0.988397i | ||||||||
0 | 0 | |||||||||
8.63364 | 0.310933 | |||||||||
5.00000i | 0.179954i | |||||||||
0.897483i | 0.0322802i | 0.999870 | + | 0.0161401i | ||||||
−0.999870 | + | 0.0161401i | ||||||||
−9.00396 | −0.323641 | |||||||||
−0.928857 | − | 2.66403i | −0.0333655 | − | 0.0956947i | |||||
−33.3249 | −1.19629 | |||||||||
0.491805i | 0.0176434i | |||||||||
− | 33.7736i | − | 1.21084i | |||||||
−1.41901 | −0.0508413 | |||||||||
0.620713 | − | 0.873782i | 0.0222251 | − | 0.0312864i | |||||
0 | 0 | |||||||||
39.9287i | 1.42785i | |||||||||
7.09699i | 0.253626i | |||||||||
−0.886957 | −0.0316770 | |||||||||
25.0949 | + | 17.8268i | 0.895675 | + | 0.636265i | |||||
−4.56559 | −0.162849 | |||||||||
37.8007i | 1.34745i | 0.738983 | + | 0.673724i | ||||||
−0.738983 | + | 0.673724i | ||||||||
− | 0.633165i | − | 0.0225556i | |||||||
1.81133 | 0.0644852 | |||||||||
21.8295 | + | 15.5072i | 0.776660 | + | 0.551720i | |||||
25.6595 | 0.912346 | |||||||||
0 | 0 | |||||||||
39.1242i | 1.38934i | |||||||||
13.1442 | 0.466470 | |||||||||
4.11052 | − | 5.78641i | 0.145785 | − | 0.205223i | |||||
2.48329 | 0.0880177 | |||||||||
− | 15.1906i | − | 0.538078i | −0.963129 | − | 0.269039i | ||||
0.963129 | − | 0.269039i | ||||||||
0.322371i | 0.0114118i | |||||||||
18.9665 | 0.670985 | |||||||||
−12.4491 | + | 4.34058i | −0.440142 | + | 0.153463i | |||||
−7.13504 | −0.252104 | |||||||||
− | 16.9237i | − | 0.597598i | |||||||
0 | 0 | |||||||||
0.556959 | 0.0196424 | |||||||||
28.1311 | − | 39.6004i | 0.991492 | − | 1.39573i | |||||
1.92129 | 0.0676745 | |||||||||
10.4844i | 0.369067i | |||||||||
− | 42.3024i | − | 1.48819i | |||||||
39.7109 | 1.39616 | 0.698080 | − | 0.716020i | ||||||
0.698080 | + | 0.716020i | ||||||||
−17.6027 | − | 12.5045i | −0.618494 | − | 0.439363i | |||||
8.81679 | 0.309599 | 0.154800 | − | 0.987946i | ||||||
0.154800 | + | 0.987946i | ||||||||
4.10065i | 0.143905i | |||||||||
5.85145i | 0.205219i | |||||||||
0 | 0 | |||||||||
−16.2987 | − | 11.5782i | −0.570918 | − | 0.405566i | |||||
−3.94981 | −0.138271 | |||||||||
− | 0.706350i | − | 0.0247121i | |||||||
− | 27.5283i | − | 0.962506i | |||||||
20.4579 | 0.714858 | |||||||||
−3.15931 | + | 4.44739i | −0.110328 | + | 0.155310i | |||||
−8.42070 | −0.293884 | −0.146942 | − | 0.989145i | ||||||
−0.146942 | + | 0.989145i | ||||||||
1.95204i | 0.0680853i | |||||||||
23.9040i | 0.833241i | 0.909080 | + | 0.416621i | ||||||
−0.909080 | + | 0.416621i | ||||||||
−40.9319 | −1.42593 | |||||||||
0 | 0 | |||||||||
23.9526 | 0.833416 | |||||||||
47.5118i | 1.65215i | 0.563561 | + | 0.826074i | ||||||
−0.563561 | + | 0.826074i | ||||||||
11.4983i | 0.399593i | |||||||||
28.2003 | 0.979437 | 0.489718 | − | 0.871881i | ||||||
0.489718 | + | 0.871881i | ||||||||
−5.26851 | + | 7.41652i | −0.182873 | + | 0.257431i | |||||
6.55306 | 0.227323 | |||||||||
− | 24.5280i | − | 0.850354i | |||||||
1.21229i | 0.0420035i | |||||||||
−3.72907 | −0.129127 | |||||||||
−30.8406 | − | 21.9084i | −1.06728 | − | 0.758171i | |||||
0 | 0 | |||||||||
− | 1.20508i | − | 0.0416537i | |||||||
− | 0.630232i | − | 0.0217710i | |||||||
−22.3406 | −0.771284 | −0.385642 | − | 0.922648i | ||||||
−0.385642 | + | 0.922648i | ||||||||
5.24436 | + | 3.72546i | 0.180948 | + | 0.128541i | |||||
−17.9572 | −0.619214 | |||||||||
− | 16.3072i | − | 0.561983i | |||||||
− | 4.99201i | − | 0.171934i | |||||||
9.02811 | 0.310760 | |||||||||
6.97506 | − | 9.81884i | 0.239949 | − | 0.337778i | |||||
−17.4263 | −0.599128 | |||||||||
0 | 0 | |||||||||
− | 24.5728i | − | 0.843833i | |||||||
7.46325 | 0.256138 | |||||||||
−7.82314 | − | 22.4373i | −0.268331 | − | 0.769593i | |||||
4.39063 | 0.150509 | |||||||||
1.45937i | 0.0499973i | |||||||||
− | 8.15265i | − | 0.279141i | −0.990212 | − | 0.139571i | ||||
0.990212 | − | 0.139571i | ||||||||
−45.2395 | −1.54807 | |||||||||
1.03079 | − | 1.45105i | 0.0352522 | − | 0.0496247i | |||||
31.3622 | 1.07194 | |||||||||
− | 4.42433i | − | 0.151132i | −0.997141 | − | 0.0755662i | ||||
0.997141 | − | 0.0755662i | ||||||||
0 | 0 | |||||||||
−2.90501 | −0.0991176 | −0.0495588 | − | 0.998771i | ||||||
−0.0495588 | + | 0.998771i | ||||||||
−2.21381 | − | 1.57263i | −0.0754901 | − | 0.0536263i | |||||
4.81081 | 0.163952 | |||||||||
36.2873i | 1.23595i | |||||||||
− | 17.7101i | − | 0.602858i | −0.953489 | − | 0.301429i | ||||
0.953489 | − | 0.301429i | ||||||||
−5.63138 | −0.191583 | |||||||||
−6.16131 | − | 4.37684i | −0.209491 | − | 0.148817i | |||||
12.6071 | 0.428408 | |||||||||
− | 0.789095i | − | 0.0267991i | |||||||
− | 0.696297i | − | 0.0236339i | |||||||
0 | 0 | |||||||||
1.93281 | − | 2.72084i | 0.0655285 | − | 0.0922450i | |||||
−8.84680 | −0.299762 | |||||||||
− | 15.1092i | − | 0.511662i | |||||||
− | 31.2601i | − | 1.05799i | |||||||
2.87800 | 0.0973497 | |||||||||
−8.04902 | + | 27.7645i | −0.272107 | + | 0.938610i | |||||
2.26441 | 0.0765073 | |||||||||
− | 51.3798i | − | 1.73497i | −0.497461 | − | 0.867487i | ||||
0.497461 | − | 0.867487i | ||||||||
− | 1.89179i | − | 0.0638448i | |||||||
−8.15803 | −0.275164 | |||||||||
0 | 0 | |||||||||
33.6727 | 1.13446 | 0.567231 | − | 0.823559i | ||||||
0.567231 | + | 0.823559i | ||||||||
− | 1.11385i | − | 0.0375052i | |||||||
− | 13.9106i | − | 0.468128i | −0.972221 | − | 0.234064i | ||||
0.972221 | − | 0.234064i | ||||||||
−5.07170 | −0.170580 | |||||||||
4.98117 | + | 3.53850i | 0.167440 | + | 0.118945i | |||||
−4.18638 | −0.140644 | |||||||||
− | 44.7006i | − | 1.50090i | −0.660927 | − | 0.750450i | ||||
0.660927 | − | 0.750450i | ||||||||
0.581460i | 0.0195125i | |||||||||
28.7923 | 0.965664 | |||||||||
5.59723 | + | 3.97613i | 0.187620 | + | 0.133280i | |||||
0 | 0 | |||||||||
− | 10.4388i | − | 0.349516i | |||||||
− | 1.36707i | − | 0.0457473i | |||||||
3.80292 | 0.127189 | |||||||||
−17.9015 | + | 25.2000i | −0.598380 | + | 0.842344i | |||||
14.7264 | 0.491976 | |||||||||
8.43821i | 0.281744i | |||||||||
− | 39.9198i | − | 1.33214i | |||||||
−1.87509 | −0.0625376 | |||||||||
−2.25283 | − | 6.46127i | −0.0750943 | − | 0.215376i | |||||
−33.5861 | −1.11892 | |||||||||
0 | 0 | |||||||||
2.39471i | 0.0796909i | |||||||||
30.3371 | 1.00900 | |||||||||
−3.36562 | + | 4.73781i | −0.111877 | + | 0.157490i | |||||
−4.98662 | −0.165669 | |||||||||
− | 22.7980i | − | 0.756994i | −0.925602 | − | 0.378497i | ||||
0.925602 | − | 0.378497i | ||||||||
− | 1.16387i | − | 0.0386244i | |||||||
39.6814 | 1.31615 | |||||||||
−16.0486 | − | 11.4006i | −0.532007 | − | 0.377925i | |||||
37.5625 | 1.24450 | 0.622250 | − | 0.782819i | ||||||
0.622250 | + | 0.782819i | ||||||||
0.284696i | 0.00942722i | |||||||||
0 | 0 | |||||||||
15.0214 | 0.496863 | |||||||||
−9.40801 | − | 6.68321i | −0.311019 | − | 0.220940i | |||||
−3.48456 | −0.115133 | |||||||||
− | 26.2822i | − | 0.867915i | |||||||
− | 10.1496i | − | 0.334986i | |||||||
−39.7124 | −1.30999 | −0.654996 | − | 0.755632i | ||||||
−0.654996 | + | 0.755632i | ||||||||
33.2594 | − | 46.8195i | 1.09653 | − | 1.54359i | |||||
−7.39044 | −0.243523 | |||||||||
20.4472i | 0.673392i | |||||||||
− | 23.1808i | − | 0.763005i | |||||||
0 | 0 | |||||||||
−2.46724 | + | 0.860246i | −0.0811225 | + | 0.0282847i | |||||
−18.0536 | −0.593278 | |||||||||
− | 38.3958i | − | 1.26108i | |||||||
8.76234i | 0.287638i | |||||||||
−20.7298 | −0.680123 | −0.340061 | − | 0.940403i | ||||||
−0.340061 | + | 0.940403i | ||||||||
−0.328195 | + | 0.462003i | −0.0107619 | + | 0.0151497i | |||||
0.0873802 | 0.00286377 | |||||||||
− | 2.12777i | − | 0.0696975i | |||||||
3.18805i | 0.104372i | |||||||||
37.6187 | 1.23092 | |||||||||
0 | 0 | |||||||||
24.1874 | 0.790588 | |||||||||
− | 55.8506i | − | 1.82456i | −0.409568 | − | 0.912280i | ||||
0.409568 | − | 0.912280i | ||||||||
− | 10.2296i | − | 0.334009i | |||||||
−0.630138 | −0.0205638 | |||||||||
−4.28460 | − | 3.04367i | −0.139748 | − | 0.0992737i | |||||
−13.3644 | −0.435667 | −0.217834 | − | 0.975986i | ||||||
−0.217834 | + | 0.975986i | ||||||||
− | 6.18313i | − | 0.201457i | |||||||
− | 42.9489i | − | 1.39861i | |||||||
21.1532 | 0.688479 | |||||||||
−7.15072 | + | 10.0661i | −0.232613 | + | 0.327451i | |||||
0 | 0 | |||||||||
42.2245i | 1.37211i | 0.727550 | + | 0.686055i | ||||||
−0.727550 | + | 0.686055i | ||||||||
1.68577i | 0.0547511i | |||||||||
−35.9681 | −1.16757 | |||||||||
−1.61724 | + | 0.563879i | −0.0524703 | + | 0.0182946i | |||||
6.36110 | 0.206273 | |||||||||
− | 30.4399i | − | 0.986562i | |||||||
14.7188i | 0.476790i | 0.971168 | + | 0.238395i | ||||||
−0.971168 | + | 0.238395i | ||||||||
30.8587 | 0.999089 | |||||||||
2.87264 | − | 4.04384i | 0.0929565 | − | 0.130856i | |||||
−11.5376 | −0.373154 | |||||||||
0 | 0 | |||||||||
17.2750i | 0.558131i | |||||||||
−11.2371 | −0.362865 | |||||||||
5.89812 | + | 4.18988i | 0.190361 | + | 0.135228i | |||||
−30.6816 | −0.989729 | |||||||||
− | 1.77937i | − | 0.0573691i | |||||||
29.4190i | 0.948015i | |||||||||
−5.74589 | −0.185063 | |||||||||
19.0979 | + | 13.5666i | 0.614782 | + | 0.436725i | |||||
−9.75715 | −0.313931 | |||||||||
32.2786i | 1.03801i | 0.854771 | + | 0.519005i | ||||||
−0.854771 | + | 0.519005i | ||||||||
0 | 0 | |||||||||
0.389123 | 0.0125004 | |||||||||
−17.4203 | + | 24.5226i | −0.559331 | + | 0.787374i | |||||
−42.8008 | −1.37354 | −0.686771 | − | 0.726874i | ||||||
−0.686771 | + | 0.726874i | ||||||||
− | 4.41716i | − | 0.141681i | |||||||
− | 21.4667i | − | 0.688190i | |||||||
42.1175 | 1.34953 | |||||||||
−1.65328 | − | 4.74171i | −0.0529472 | − | 0.151856i | |||||
−39.9524 | −1.27884 | |||||||||
− | 12.1972i | − | 0.390222i | −0.980781 | − | 0.195111i | ||||
0.980781 | − | 0.195111i | ||||||||
4.01584i | 0.128412i | |||||||||
0 | 0 | |||||||||
0.194545 | − | 0.273862i | 0.00621451 | − | 0.00874821i | |||||
14.1730 | 0.452510 | |||||||||
3.94176i | 0.125787i | |||||||||
14.0671i | 0.448670i | 0.974512 | + | 0.224335i | ||||||
−0.974512 | + | 0.224335i | ||||||||
5.68781 | 0.181321 | |||||||||
−2.41842 | − | 1.71798i | −0.0770572 | − | 0.0547395i | |||||
−15.7926 | −0.502938 | |||||||||
4.63472i | 0.147525i | |||||||||
0.365560i | 0.0116300i | |||||||||
21.3790 | 0.679811 | |||||||||
0 | 0 | |||||||||
−22.9455 | −0.728887 | −0.364444 | − | 0.931225i | ||||||
−0.364444 | + | 0.931225i | ||||||||
− | 1.48786i | − | 0.0472396i | |||||||
− | 4.59321i | − | 0.145761i | |||||||
26.8041 | 0.850175 | |||||||||
6.73797 | − | 9.48509i | 0.213608 | − | 0.300698i | |||||
−0.572734 | −0.0181478 | |||||||||
− | 3.63447i | − | 0.115105i | −0.998342 | − | 0.0575525i | ||||
0.998342 | − | 0.0575525i | ||||||||
8.05612i | 0.255012i | |||||||||
−1.11607 | −0.0353108 |