Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [720,2,Mod(179,720)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(720, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 3, 2, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("720.179");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 720.u (of order , degree , minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 179.20 | ||
Character | 720.179 | ||
Dual form | 720.2.u.a.539.20 |
-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 .
−0.581659 | + | 1.28906i | −0.411295 | + | 0.911502i | |||||
0 | 0 | |||||||||
−1.32335 | − | 1.49958i | −0.661673 | − | 0.749792i | |||||
0.0342493 | + | 2.23581i | 0.0153168 | + | 0.999883i | |||||
0 | 0 | |||||||||
− | 4.97879i | − | 1.88181i | −0.338676 | − | 0.940903i | ||||
0.338676 | − | 0.940903i | ||||||||
2.70279 | − | 0.833625i | 0.955580 | − | 0.294731i | |||||
0 | 0 | |||||||||
−2.90201 | − | 1.25633i | −0.917695 | − | 0.397285i | |||||
0.299629 | − | 0.299629i | 0.0903414 | − | 0.0903414i | −0.660492 | − | 0.750833i | ||
0.750833 | + | 0.660492i | ||||||||
0 | 0 | |||||||||
−3.41391 | + | 3.41391i | −0.946848 | + | 0.946848i | −0.998657 | − | 0.0518087i | ||
0.0518087 | + | 0.998657i | ||||||||
6.41795 | + | 2.89596i | 1.71527 | + | 0.773977i | |||||
0 | 0 | |||||||||
−0.497509 | + | 3.96894i | −0.124377 | + | 0.992235i | |||||
−5.22586 | −1.26746 | −0.633728 | − | 0.773556i | ||||||
−0.633728 | + | 0.773556i | ||||||||
0 | 0 | |||||||||
−3.58000 | + | 3.58000i | −0.821307 | + | 0.821307i | −0.986296 | − | 0.164988i | ||
0.164988 | + | 0.986296i | ||||||||
3.30746 | − | 3.01011i | 0.739570 | − | 0.673080i | |||||
0 | 0 | |||||||||
0.211957 | + | 0.560520i | 0.0451895 | + | 0.119503i | |||||
−6.15703 | −1.28383 | −0.641915 | − | 0.766776i | ||||||
−0.641915 | + | 0.766776i | ||||||||
0 | 0 | |||||||||
−4.99765 | + | 0.153150i | −0.999531 | + | 0.0306300i | |||||
−2.41500 | − | 6.38646i | −0.473621 | − | 1.25249i | |||||
0 | 0 | |||||||||
−7.46612 | + | 6.58866i | −1.41096 | + | 1.24514i | |||||
−3.26048 | + | 3.26048i | −0.605456 | + | 0.605456i | −0.941755 | − | 0.336299i | ||
0.336299 | + | 0.941755i | ||||||||
0 | 0 | |||||||||
− | 7.77031i | − | 1.39559i | −0.716298 | − | 0.697795i | ||||
0.716298 | − | 0.697795i | ||||||||
−4.82682 | − | 2.94989i | −0.853269 | − | 0.521471i | |||||
0 | 0 | |||||||||
3.03966 | − | 6.73644i | 0.521298 | − | 1.15529i | |||||
11.1316 | − | 0.170520i | 1.88159 | − | 0.0288232i | |||||
0 | 0 | |||||||||
2.27648 | + | 2.27648i | 0.374251 | + | 0.374251i | 0.869023 | − | 0.494772i | ||
−0.494772 | + | 0.869023i | ||||||||
−2.53249 | − | 6.69716i | −0.410824 | − | 1.08642i | |||||
0 | 0 | |||||||||
1.95639 | + | 6.01436i | 0.309333 | + | 0.950954i | |||||
7.32246 | 1.14358 | 0.571788 | − | 0.820401i | ||||||
0.571788 | + | 0.820401i | ||||||||
0 | 0 | |||||||||
1.76594 | − | 1.76594i | 0.269304 | − | 0.269304i | −0.559516 | − | 0.828820i | ||
0.828820 | + | 0.559516i | ||||||||
−0.845831 | − | 0.0528060i | −0.127514 | − | 0.00796081i | |||||
0 | 0 | |||||||||
3.58129 | − | 7.93678i | 0.528032 | − | 1.17021i | |||||
1.69344i | 0.247013i | 0.992344 | + | 0.123507i | ||||||
−0.992344 | + | 0.123507i | ||||||||
0 | 0 | |||||||||
−17.7884 | −2.54119 | |||||||||
2.70951 | − | 6.53135i | 0.383183 | − | 0.923673i | |||||
0 | 0 | |||||||||
9.63723 | + | 0.601662i | 1.33644 | + | 0.0834355i | |||||
2.95155 | − | 2.95155i | 0.405427 | − | 0.405427i | −0.474714 | − | 0.880140i | ||
0.880140 | + | 0.474714i | ||||||||
0 | 0 | |||||||||
0.680173 | + | 0.659649i | 0.0917145 | + | 0.0889471i | |||||
−4.15045 | − | 13.4566i | −0.554627 | − | 1.79822i | |||||
0 | 0 | |||||||||
−2.30646 | − | 6.09944i | −0.302854 | − | 0.800895i | |||||
−4.14389 | + | 4.14389i | −0.539489 | + | 0.539489i | −0.923379 | − | 0.383890i | ||
0.383890 | + | 0.923379i | ||||||||
0 | 0 | |||||||||
−9.38240 | − | 9.38240i | −1.20129 | − | 1.20129i | −0.973773 | − | 0.227520i | ||
−0.227520 | − | 0.973773i | ||||||||
10.0164 | + | 4.51967i | 1.27208 | + | 0.573999i | |||||
0 | 0 | |||||||||
6.61014 | − | 4.50623i | 0.826267 | − | 0.563278i | |||||
−7.74976 | − | 7.51592i | −0.961240 | − | 0.932235i | |||||
0 | 0 | |||||||||
−0.0409648 | − | 0.0409648i | −0.00500465 | − | 0.00500465i | 0.704600 | − | 0.709605i | ||
−0.709605 | + | 0.704600i | ||||||||
6.91562 | + | 7.83661i | 0.838642 | + | 0.950329i | |||||
0 | 0 | |||||||||
−6.25499 | + | 14.4485i | −0.747614 | + | 1.72692i | |||||
4.96779i | 0.589568i | 0.955564 | + | 0.294784i | ||||||
−0.955564 | + | 0.294784i | ||||||||
0 | 0 | |||||||||
3.87421 | 0.453442 | 0.226721 | − | 0.973960i | ||||||
0.226721 | + | 0.973960i | ||||||||
−4.25865 | + | 1.61038i | −0.495058 | + | 0.187203i | |||||
0 | 0 | |||||||||
10.1061 | + | 0.630932i | 1.15925 | + | 0.0723729i | |||||
−1.49179 | − | 1.49179i | −0.170005 | − | 0.170005i | |||||
0 | 0 | |||||||||
− | 0.521248i | − | 0.0586450i | −0.999570 | − | 0.0293225i | ||||
0.999570 | − | 0.0293225i | ||||||||
−8.89082 | − | 0.976399i | −0.994024 | − | 0.109165i | |||||
0 | 0 | |||||||||
−4.25917 | + | 9.43908i | −0.470347 | + | 1.04237i | |||||
−9.49013 | + | 9.49013i | −1.04168 | + | 1.04168i | −0.0425846 | + | 0.999093i | ||
−0.999093 | + | 0.0425846i | ||||||||
0 | 0 | |||||||||
−0.178982 | − | 11.6840i | −0.0194133 | − | 1.26731i | |||||
1.24923 | + | 3.30358i | 0.134708 | + | 0.356234i | |||||
0 | 0 | |||||||||
0.560055 | − | 1.05961i | 0.0597020 | − | 0.112955i | |||||
3.52625 | 0.373782 | 0.186891 | − | 0.982381i | ||||||
0.186891 | + | 0.982381i | ||||||||
0 | 0 | |||||||||
16.9971 | + | 16.9971i | 1.78178 | + | 1.78178i | |||||
8.14788 | + | 9.23299i | 0.849476 | + | 0.962606i | |||||
0 | 0 | |||||||||
−2.18294 | − | 0.985002i | −0.225153 | − | 0.101595i | |||||
−8.12679 | − | 7.88156i | −0.833791 | − | 0.808631i | |||||
0 | 0 | |||||||||
− | 3.30729i | − | 0.335805i | −0.985804 | − | 0.167902i | ||||
0.985804 | − | 0.167902i | ||||||||
10.3467 | − | 22.9302i | 1.04518 | − | 2.31630i | |||||
0 | 0 | |||||||||
6.84329 | + | 7.29174i | 0.684329 | + | 0.729174i | |||||
−7.55836 | − | 7.55836i | −0.752085 | − | 0.752085i | 0.222783 | − | 0.974868i | ||
−0.974868 | + | 0.222783i | ||||||||
0 | 0 | |||||||||
− | 13.0592i | − | 1.28676i | −0.765546 | − | 0.643381i | ||||
0.765546 | − | 0.643381i | ||||||||
−6.38116 | + | 12.0730i | −0.625724 | + | 1.18386i | |||||
0 | 0 | |||||||||
2.08793 | + | 5.52152i | 0.202797 | + | 0.536297i | |||||
7.46283 | + | 7.46283i | 0.721459 | + | 0.721459i | 0.968902 | − | 0.247443i | ||
−0.247443 | + | 0.968902i | ||||||||
0 | 0 | |||||||||
3.43459 | + | 3.43459i | 0.328974 | + | 0.328974i | 0.852196 | − | 0.523222i | ||
−0.523222 | + | 0.852196i | ||||||||
−1.24596 | + | 0.493093i | −0.118797 | + | 0.0470146i | |||||
0 | 0 | |||||||||
19.7605 | + | 2.47699i | 1.86719 | + | 0.234054i | |||||
−5.42433 | −0.510278 | −0.255139 | − | 0.966904i | ||||||
−0.255139 | + | 0.966904i | ||||||||
0 | 0 | |||||||||
−0.210874 | − | 13.7659i | −0.0196641 | − | 1.28368i | |||||
9.20411 | + | 0.574621i | 0.854580 | + | 0.0533523i | |||||
0 | 0 | |||||||||
−2.93139 | − | 7.75205i | −0.269856 | − | 0.713634i | |||||
26.0184i | 2.38511i | |||||||||
0 | 0 | |||||||||
10.8204i | 0.983677i | |||||||||
17.5518 | − | 6.63712i | 1.58907 | − | 0.600896i | |||||
0 | 0 | |||||||||
−11.6522 | + | 10.2828i | −1.04640 | + | 0.923424i | |||||
−0.513580 | − | 11.1685i | −0.0459359 | − | 0.998944i | |||||
0 | 0 | |||||||||
9.57690 | 0.849813 | 0.424906 | − | 0.905237i | ||||||
0.424906 | + | 0.905237i | ||||||||
1.96395 | + | 11.1419i | 0.173590 | + | 0.984818i | |||||
0 | 0 | |||||||||
14.1962 | − | 5.61821i | 1.24509 | − | 0.492749i | |||||
−12.5044 | − | 12.5044i | −1.09252 | − | 1.09252i | −0.995259 | − | 0.0972558i | ||
−0.0972558 | − | 0.995259i | ||||||||
0 | 0 | |||||||||
17.8241 | + | 17.8241i | 1.54554 | + | 1.54554i | |||||
0.0766335 | − | 0.0289785i | 0.00662013 | − | 0.00250336i | |||||
0 | 0 | |||||||||
−14.1244 | + | 4.35640i | −1.21116 | + | 0.373559i | |||||
3.21459i | 0.274641i | 0.990527 | + | 0.137320i | ||||||
−0.990527 | + | 0.137320i | ||||||||
0 | 0 | |||||||||
−0.728605 | − | 0.728605i | −0.0617994 | − | 0.0617994i | 0.675532 | − | 0.737331i | ||
−0.737331 | + | 0.675532i | ||||||||
−14.9867 | − | 16.4671i | −1.26661 | − | 1.39173i | |||||
0 | 0 | |||||||||
−6.40377 | − | 2.88956i | −0.537392 | − | 0.242486i | |||||
2.04581i | 0.171079i | |||||||||
0 | 0 | |||||||||
−7.40147 | − | 7.17813i | −0.614658 | − | 0.596111i | |||||
−2.25347 | + | 4.99409i | −0.186498 | + | 0.413314i | |||||
0 | 0 | |||||||||
0.401203 | − | 6.42634i | 0.0329787 | − | 0.528242i | |||||
−3.90021 | − | 3.90021i | −0.319518 | − | 0.319518i | 0.529064 | − | 0.848582i | ||
−0.848582 | + | 0.529064i | ||||||||
0 | 0 | |||||||||
2.48795 | 0.202467 | 0.101233 | − | 0.994863i | ||||||
0.101233 | + | 0.994863i | ||||||||
−6.69160 | + | 12.6603i | −0.542760 | + | 1.02689i | |||||
0 | 0 | |||||||||
2.79071 | − | 1.05529i | 0.224882 | − | 0.0850378i | |||||
17.3729 | − | 0.266128i | 1.39543 | − | 0.0213759i | |||||
0 | 0 | |||||||||
6.88372 | − | 6.88372i | 0.549380 | − | 0.549380i | −0.376881 | − | 0.926262i | ||
0.926262 | + | 0.376881i | ||||||||
0.671920 | + | 0.303189i | 0.0534551 | + | 0.0241204i | |||||
0 | 0 | |||||||||
6.43006 | − | 10.8929i | 0.508341 | − | 0.861156i | |||||
30.6546i | 2.41592i | |||||||||
0 | 0 | |||||||||
−0.954196 | − | 0.954196i | −0.0747384 | − | 0.0747384i | 0.668749 | − | 0.743488i | ||
−0.743488 | + | 0.668749i | ||||||||
−9.69015 | − | 10.9806i | −0.756674 | − | 0.857445i | |||||
0 | 0 | |||||||||
−6.71332 | − | 17.7534i | −0.521055 | − | 1.37793i | |||||
9.73397 | 0.753237 | 0.376619 | − | 0.926368i | ||||||
0.376619 | + | 0.926368i | ||||||||
0 | 0 | |||||||||
− | 10.3096i | − | 0.793044i | |||||||
15.1655 | + | 6.56538i | 1.16314 | + | 0.503542i | |||||
0 | 0 | |||||||||
−4.98514 | − | 0.311227i | −0.380113 | − | 0.0237308i | |||||
−7.85395 | − | 7.85395i | −0.597125 | − | 0.597125i | 0.342421 | − | 0.939546i | ||
−0.939546 | + | 0.342421i | ||||||||
0 | 0 | |||||||||
0.762501 | + | 24.8823i | 0.0576396 | + | 1.88092i | |||||
1.04014 | + | 1.33828i | 0.0784035 | + | 0.100876i | |||||
0 | 0 | |||||||||
−2.05107 | + | 4.54554i | −0.153734 | + | 0.340703i | |||||
9.13459 | + | 9.13459i | 0.682751 | + | 0.682751i | 0.960619 | − | 0.277868i | ||
−0.277868 | + | 0.960619i | ||||||||
0 | 0 | |||||||||
−15.9005 | + | 15.9005i | −1.18188 | + | 1.18188i | −0.202621 | + | 0.979257i | ||
−0.979257 | + | 0.202621i | ||||||||
−31.7969 | + | 12.0238i | −2.35694 | + | 0.891262i | |||||
0 | 0 | |||||||||
−16.6412 | + | 5.13266i | −1.22680 | + | 0.378384i | |||||
−5.01180 | + | 5.16773i | −0.368475 | + | 0.379939i | |||||
0 | 0 | |||||||||
−1.56582 | + | 1.56582i | −0.114504 | + | 0.114504i | |||||
2.53945 | − | 2.24100i | 0.185209 | − | 0.163442i | |||||
0 | 0 | |||||||||
14.8868 | − | 5.89153i | 1.08000 | − | 0.427417i | |||||
2.16753 | 0.156837 | 0.0784183 | − | 0.996921i | ||||||
0.0784183 | + | 0.996921i | ||||||||
0 | 0 | |||||||||
23.0521i | 1.65932i | 0.558265 | + | 0.829662i | ||||||
−0.558265 | + | 0.829662i | ||||||||
4.26329 | + | 1.92371i | 0.306087 | + | 0.138115i | |||||
0 | 0 | |||||||||
23.5402 | + | 26.6751i | 1.68144 | + | 1.90537i | |||||
1.52767 | − | 1.52767i | 0.108842 | − | 0.108842i | −0.650588 | − | 0.759431i | ||
0.759431 | + | 0.650588i | ||||||||
0 | 0 | |||||||||
−3.12757 | −0.221708 | −0.110854 | − | 0.993837i | ||||||
−0.110854 | + | 0.993837i | ||||||||
−13.3799 | + | 4.58010i | −0.946104 | + | 0.323862i | |||||
0 | 0 | |||||||||
14.1396 | − | 5.34678i | 0.994855 | − | 0.376198i | |||||
16.2332 | + | 16.2332i | 1.13935 | + | 1.13935i | |||||
0 | 0 | |||||||||
0.250789 | + | 16.3716i | 0.0175159 | + | 1.14344i | |||||
16.8341 | + | 7.59600i | 1.17289 | + | 0.529239i | |||||
0 | 0 | |||||||||
−11.8512 | − | 15.2481i | −0.821730 | − | 1.05726i | |||||
2.14534i | 0.148396i | |||||||||
0 | 0 | |||||||||
2.66344 | − | 2.66344i | 0.183359 | − | 0.183359i | −0.609459 | − | 0.792818i | ||
0.792818 | + | 0.609459i | ||||||||
−8.33202 | − | 0.520176i | −0.572246 | − | 0.0357259i | |||||
0 | 0 | |||||||||
−13.9608 | + | 5.27921i | −0.954344 | + | 0.360879i | |||||
4.00879 | + | 3.88782i | 0.273397 | + | 0.265147i | |||||
0 | 0 | |||||||||
−38.6868 | −2.62623 | |||||||||
−6.42515 | + | 2.42963i | −0.435166 | + | 0.164555i | |||||
0 | 0 | |||||||||
0.0890949 | − | 1.89292i | 0.00600677 | − | 0.127621i | |||||
17.8406 | − | 17.8406i | 1.20009 | − | 1.20009i | |||||
0 | 0 | |||||||||
22.8494 | 1.53011 | 0.765053 | − | 0.643967i | ||||||
0.765053 | + | 0.643967i | ||||||||
−14.6869 | + | 24.0317i | −0.981307 | + | 1.60569i | |||||
0 | 0 | |||||||||
3.15511 | − | 6.99228i | 0.209875 | − | 0.465119i | |||||
2.89777 | − | 2.89777i | 0.192332 | − | 0.192332i | −0.604371 | − | 0.796703i | ||
0.796703 | + | 0.604371i | ||||||||
0 | 0 | |||||||||
13.7901 | − | 13.7901i | 0.911276 | − | 0.911276i | −0.0850965 | − | 0.996373i | ||
0.996373 | + | 0.0850965i | ||||||||
17.8677 | + | 7.73524i | 1.17816 | + | 0.510047i | |||||
0 | 0 | |||||||||
−6.09437 | + | 11.5304i | −0.400115 | + | 0.757008i | |||||
27.8531i | 1.82472i | 0.409388 | + | 0.912360i | ||||||
−0.409388 | + | 0.912360i | ||||||||
0 | 0 | |||||||||
−3.78619 | + | 0.0579991i | −0.246984 | + | 0.00378344i | |||||
11.6979 | + | 0.730312i | 0.761470 | + | 0.0475393i | |||||
0 | 0 | |||||||||
−33.5393 | − | 15.1339i | −2.17403 | − | 0.980982i | |||||
−22.7939 | −1.47441 | −0.737207 | − | 0.675667i | ||||||
−0.737207 | + | 0.675667i | ||||||||
0 | 0 | |||||||||
4.33189 | 0.279042 | 0.139521 | − | 0.990219i | ||||||
0.139521 | + | 0.990219i | ||||||||
−13.9482 | − | 6.29381i | −0.896624 | − | 0.404581i | |||||
0 | 0 | |||||||||
−1.65354 | + | 26.4859i | −0.105857 | + | 1.69558i | |||||
−0.609240 | − | 39.7713i | −0.0389229 | − | 2.54090i | |||||
0 | 0 | |||||||||
− | 24.4436i | − | 1.55531i | |||||||
−6.47753 | − | 21.0015i | −0.411324 | − | 1.33360i | |||||
0 | 0 | |||||||||
14.6956 | + | 5.83424i | 0.929433 | + | 0.368990i | |||||
4.97266 | − | 4.97266i | 0.313872 | − | 0.313872i | −0.532536 | − | 0.846407i | ||
0.846407 | + | 0.532536i | ||||||||
0 | 0 | |||||||||
−1.84482 | + | 1.84482i | −0.115983 | + | 0.115983i | |||||
−5.57049 | + | 12.3452i | −0.349524 | + | 0.774606i | |||||
0 | 0 | |||||||||
−15.5050 | − | 3.94916i | −0.969061 | − | 0.246823i | |||||
−8.06975 | −0.503377 | −0.251689 | − | 0.967808i | ||||||
−0.251689 | + | 0.967808i | ||||||||
0 | 0 | |||||||||
11.3341 | − | 11.3341i | 0.704267 | − | 0.704267i | |||||
−1.01513 | + | 21.5676i | −0.0629557 | + | 1.33757i | |||||
0 | 0 | |||||||||
23.3922 | − | 8.84562i | 1.44518 | − | 0.546484i | |||||
−17.5377 | −1.08142 | −0.540710 | − | 0.841209i | ||||||
−0.540710 | + | 0.841209i | ||||||||
0 | 0 | |||||||||
6.70018 | + | 6.49800i | 0.411589 | + | 0.399169i | |||||
−33.3438 | + | 12.6087i | −2.04444 | + | 0.773091i | |||||
0 | 0 | |||||||||
−0.00721956 | + | 0.115641i | −0.000441005 | + | 0.00706388i | |||||
−1.87139 | + | 1.87139i | −0.114101 | + | 0.114101i | −0.761852 | − | 0.647751i | ||
0.647751 | + | 0.761852i | ||||||||
0 | 0 | |||||||||
− | 22.9224i | − | 1.39244i | −0.717831 | − | 0.696218i | ||||
0.717831 | − | 0.696218i | ||||||||
2.59991 | − | 20.7411i | 0.157643 | − | 1.25761i | |||||
0 | 0 | |||||||||
−4.14379 | − | 1.86979i | −0.250336 | − | 0.112958i | |||||
−1.45155 | + | 1.54333i | −0.0875319 | + | 0.0930662i | |||||
0 | 0 | |||||||||
13.2521 | + | 13.2521i | 0.796239 | + | 0.796239i | 0.982500 | − | 0.186261i | ||
−0.186261 | + | 0.982500i | ||||||||
1.36301 | − | 0.515415i | 0.0817481 | − | 0.0309126i | |||||
0 | 0 | |||||||||
29.9442 | − | 9.74047i | 1.78951 | − | 0.582104i | |||||
12.2485 | 0.730684 | 0.365342 | − | 0.930873i | ||||||
0.365342 | + | 0.930873i | ||||||||
0 | 0 | |||||||||
−2.62423 | + | 2.62423i | −0.155994 | + | 0.155994i | −0.780789 | − | 0.624795i | ||
0.624795 | + | 0.780789i | ||||||||
7.44962 | − | 6.57410i | 0.442053 | − | 0.390101i | |||||
0 | 0 | |||||||||
−2.63717 | − | 1.18996i | −0.155939 | − | 0.0703640i | |||||
− | 36.4570i | − | 2.15199i | |||||||
0 | 0 | |||||||||
10.3096 | 0.606445 | |||||||||
13.5582 | − | 5.36571i | 0.796163 | − | 0.315085i | |||||
0 | 0 | |||||||||
−5.12693 | − | 5.80971i | −0.300031 | − | 0.339988i | |||||
3.96865 | − | 3.96865i | 0.231851 | − | 0.231851i | −0.581614 | − | 0.813465i | ||
0.813465 | + | 0.581614i | ||||||||
0 | 0 | |||||||||
−9.40686 | − | 9.12301i | −0.547689 | − | 0.531162i | |||||
8.05057 | + | 4.25511i | 0.467930 | + | 0.247323i | |||||
0 | 0 | |||||||||
7.29619 | − | 2.75901i | 0.422657 | − | 0.159825i | |||||
21.0196 | − | 21.0196i | 1.21559 | − | 1.21559i | |||||
0 | 0 | |||||||||
−8.79226 | − | 8.79226i | −0.506778 | − | 0.506778i | |||||
−1.44714 | + | 3.20712i | −0.0832734 | + | 0.184549i | |||||
0 | 0 | |||||||||
−12.4277 | − | 15.9899i | −0.712778 | − | 0.917082i | |||||
20.6559 | − | 21.2986i | 1.18275 | − | 1.21955i | |||||
0 | 0 | |||||||||
5.66311 | + | 5.66311i | 0.323211 | + | 0.323211i | 0.849997 | − | 0.526787i | ||
−0.526787 | + | 0.849997i | ||||||||
−0.262910 | + | 4.21121i | −0.0149807 | + | 0.239956i | |||||
0 | 0 | |||||||||
−9.76205 | + | 22.5495i | −0.554447 | + | 1.28073i | |||||
− | 29.5732i | − | 1.67694i | −0.544947 | − | 0.838470i | ||||
0.544947 | − | 0.838470i | ||||||||
0 | 0 | |||||||||
12.2408 | 0.691891 | 0.345945 | − | 0.938255i | ||||||
0.345945 | + | 0.938255i | ||||||||
4.86954 | + | 12.8775i | 0.274804 | + | 0.726719i | |||||
0 | 0 | |||||||||
−0.781656 | + | 0.689792i | −0.0439716 | + | 0.0388038i | |||||
12.0077 | + | 12.0077i | 0.674419 | + | 0.674419i | 0.958732 | − | 0.284312i | ||
−0.284312 | + | 0.958732i | ||||||||
0 | 0 | |||||||||
1.95387i | 0.109395i | |||||||||
10.3014 | + | 14.6246i | 0.575868 | + | 0.817543i | |||||
0 | 0 | |||||||||
−39.5155 | − | 17.8305i | −2.20212 | − | 0.993655i | |||||
18.7085 | − | 18.7085i | 1.04097 | − | 1.04097i | |||||
0 | 0 | |||||||||
16.5387 | − | 17.5844i | 0.917402 | − | 0.975406i | |||||
1.78503 | − | 0.674998i | 0.0988637 | − | 0.0373847i | |||||
0 | 0 | |||||||||
19.7911 | − | 6.10419i | 1.09278 | − | 0.337047i | |||||
8.43126 | 0.464831 | |||||||||
0 | 0 | |||||||||
6.22467 | + | 6.22467i | 0.342139 | + | 0.342139i | 0.857171 | − | 0.515032i | ||
−0.515032 | + | 0.857171i | ||||||||
26.7900 | + | 1.67253i | 1.47029 | + | 0.0917917i | |||||
0 | 0 | |||||||||
−5.66185 | + | 12.5477i | −0.309803 | + | 0.686578i | |||||
0.0901863 | − | 0.0929923i | 0.00492740 | − | 0.00508071i | |||||
0 | 0 | |||||||||
− | 2.44733i | − | 0.133315i | −0.997776 | − | 0.0666574i | ||||
0.997776 | − | 0.0666574i | ||||||||
13.2896 | + | 5.99665i | 0.722861 | + | 0.326175i | |||||
0 | 0 | |||||||||
−17.2843 | + | 15.7304i | −0.937372 | + | 0.853099i | |||||
−2.32821 | − | 2.32821i | −0.126080 | − | 0.126080i | |||||
0 | 0 | |||||||||
53.7130i | 2.90023i | |||||||||
3.30084 | − | 6.24511i | 0.177969 | − | 0.336714i | |||||
0 | 0 | |||||||||
14.6925 | − | 5.55589i | 0.789875 | − | 0.298687i | |||||
−7.80648 | − | 7.80648i | −0.419074 | − | 0.419074i | 0.465811 | − | 0.884884i | ||
−0.884884 | + | 0.465811i | ||||||||
0 | 0 | |||||||||
−18.4011 | − | 18.4011i | −0.984990 | − | 0.984990i | 0.0148993 | − | 0.999889i | ||
−0.999889 | + | 0.0148993i | ||||||||
−32.5182 | − | 13.4901i | −1.73817 | − | 0.721075i | |||||
0 | 0 | |||||||||
−2.33012 | + | 0.562382i | −0.124196 | + | 0.0299751i | |||||
−23.6781 | −1.26026 | −0.630128 | − | 0.776491i | ||||||
−0.630128 | + | 0.776491i | ||||||||
0 | 0 | |||||||||
−11.1070 | + | 0.170143i | −0.589499 | + | 0.00903028i | |||||
−4.66645 | − | 5.28791i | −0.247321 | − | 0.280259i | |||||
0 | 0 | |||||||||
−17.0882 | + | 6.46181i | −0.903141 | + | 0.341517i | |||||
0.461358i | 0.0243495i | 0.999926 | + | 0.0121748i | ||||||
−0.999926 | + | 0.0121748i | ||||||||
0 | 0 | |||||||||
− | 6.63274i | − | 0.349092i | |||||||
−11.2481 | − | 29.7454i | −0.591185 | − | 1.56339i | |||||
0 | 0 | |||||||||
2.99555 | − | 47.9818i | 0.157009 | − | 2.51493i | |||||
0.132689 | + | 8.66199i | 0.00694528 | + | 0.453389i | |||||
0 | 0 | |||||||||
−20.2030 | −1.05459 | −0.527294 | − | 0.849683i | ||||||
−0.527294 | + | 0.849683i | ||||||||
3.06318 | − | 24.4369i | 0.159679 | − | 1.27386i | |||||
0 | 0 | |||||||||
−3.74636 | − | 9.46636i | −0.194764 | − | 0.492133i | |||||
−14.6952 | − | 14.6952i | −0.762934 | − | 0.762934i | |||||
0 | 0 | |||||||||
−5.66776 | − | 5.66776i | −0.293465 | − | 0.293465i | 0.544982 | − | 0.838448i | ||
−0.838448 | + | 0.544982i | ||||||||
−1.10766 | − | 2.92920i | −0.0572757 | − | 0.151465i | |||||
0 | 0 | |||||||||
1.41169 | + | 4.57700i | 0.0728024 | + | 0.236041i | |||||
− | 22.2620i | − | 1.14655i | |||||||
0 | 0 | |||||||||
6.20237 | + | 6.20237i | 0.318594 | + | 0.318594i | 0.848227 | − | 0.529633i | ||
−0.529633 | + | 0.848227i | ||||||||
−1.06452 | + | 22.6168i | −0.0546085 | + | 1.16022i | |||||
0 | 0 | |||||||||
−1.26076 | + | 2.79407i | −0.0645061 | + | 0.142957i | |||||
4.89671i | 0.250210i | 0.992143 | + | 0.125105i | ||||||
−0.992143 | + | 0.125105i | ||||||||
0 | 0 | |||||||||
3.28425 | − | 3.38644i | 0.167381 | − | 0.172589i | |||||
−29.7155 | − | 13.4084i | −1.51248 | − | 0.682472i | |||||
0 | 0 | |||||||||
−4.95956 | + | 4.37669i | −0.251784 | + | 0.222193i | |||||
−13.7639 | − | 13.7639i | −0.697860 | − | 0.697860i | 0.266089 | − | 0.963949i | ||
−0.963949 | + | 0.266089i | ||||||||
0 | 0 | |||||||||
32.1758 | 1.62720 | |||||||||
−48.0782 | + | 14.8288i | −2.42831 | + | 0.748969i | |||||
0 | 0 | |||||||||
1.08068 | + | 2.85784i | 0.0544437 | + | 0.143976i | |||||
1.16541 | − | 0.0178524i | 0.0586381 | − | 0.000898253i | |||||
0 | 0 | |||||||||
−16.2544 | + | 16.2544i | −0.815787 | + | 0.815787i | −0.985495 | − | 0.169707i | ||
0.169707 | + | 0.985495i | ||||||||
1.81918 | − | 4.03162i | 0.0911872 | − | 0.202087i | |||||
0 | 0 | |||||||||
1.87853 | − | 19.9116i | 0.0939267 | − | 0.995579i | |||||
10.0348i | 0.501116i | 0.968102 | + | 0.250558i | ||||||
−0.968102 | + | 0.250558i | ||||||||
0 | 0 | |||||||||
26.5272 | + | 26.5272i | 1.32141 | + | 1.32141i | |||||
−1.33207 | + | 21.3367i | −0.0662731 | + | 1.06154i | |||||
0 | 0 | |||||||||
−30.3678 | + | 11.4834i | −1.50713 | + | 0.569912i | |||||
1.36420 | 0.0676207 | |||||||||
0 | 0 | |||||||||
33.3911i | 1.65108i | 0.564341 | + | 0.825542i | ||||||
−0.564341 | + | 0.825542i | ||||||||
−21.2498 | − | 9.19940i | −1.04945 | − | 0.454326i | |||||
0 | 0 | |||||||||
−19.5834 | + | 17.2819i | −0.964804 | + | 0.851416i | |||||
20.6316 | + | 20.6316i | 1.01521 | + | 1.01521i | |||||
0 | 0 | |||||||||
−21.5431 | − | 20.8931i | −1.05751 | − | 1.02560i | |||||
26.5490 | − | 6.40768i | 1.30167 | − | 0.314162i | |||||
0 | 0 | |||||||||
−2.76547 | − | 1.24785i | −0.135263 | − | 0.0610346i | |||||
12.9105 | + | 12.9105i | 0.630718 | + | 0.630718i | 0.948248 | − | 0.317530i | ||
−0.317530 | + | 0.948248i | ||||||||
0 | 0 | |||||||||
0.923750 | − | 0.923750i | 0.0450208 | − | 0.0450208i | −0.684238 | − | 0.729259i | ||
0.729259 | + | 0.684238i | ||||||||
1.88412 | + | 4.98255i | 0.0917175 | + | 0.242547i | |||||
0 | 0 | |||||||||
5.51693 | − | 10.4379i | 0.267926 | − | 0.506910i | |||||
26.1170 | − | 0.800339i | 1.26686 | − | 0.0388221i | |||||
0 | 0 | |||||||||
−46.7130 | + | 46.7130i | −2.26060 | + | 2.26060i | |||||
1.31524 | − | 21.0671i | 0.0635743 | − | 1.01831i | |||||
0 | 0 | |||||||||
−7.34338 | + | 2.90618i | −0.354129 | + | 0.140148i | |||||
−23.5531 | −1.13451 | −0.567255 | − | 0.823542i | ||||||
−0.567255 | + | 0.823542i | ||||||||
0 | 0 | |||||||||
− | 38.5735i | − | 1.85373i | −0.375400 | − | 0.926863i | ||||
0.375400 | − | 0.926863i | ||||||||
22.5025 | − | 49.8695i | 1.08015 | − | 2.39381i | |||||
0 | 0 | |||||||||
0.605306 | − | 9.69561i | 0.0289889 | − | 0.464336i | |||||
22.0421 | − | 22.0421i | 1.05442 | − | 1.05442i | |||||
0 | 0 | |||||||||
−30.3538 | −1.44871 | −0.724355 | − | 0.689427i | ||||||
−0.724355 | + | 0.689427i | ||||||||
2.38827 | + | 1.21588i | 0.113856 | + | 0.0579649i | |||||
0 | 0 | |||||||||
12.6204 | + | 33.3747i | 0.600294 | + | 1.58747i | |||||
4.74763 | + | 4.74763i | 0.225567 | + | 0.225567i | 0.810838 | − | 0.585271i | ||
−0.585271 | + | 0.810838i | ||||||||
0 | 0 | |||||||||
0.120772 | + | 7.88401i | 0.00572513 | + | 0.373738i | |||||
−13.2905 | + | 29.4542i | −0.629325 | + | 1.39470i | |||||
0 | 0 | |||||||||
−22.4356 | − | 32.9105i | −1.05998 | − | 1.55487i | |||||
− | 10.1268i | − | 0.477914i | −0.971030 | − | 0.238957i | ||||
0.971030 | − | 0.238957i | ||||||||
0 | 0 | |||||||||
2.19402 | − | 2.19402i | 0.103312 | − | 0.103312i | |||||
7.17826 | + | 8.13424i | 0.337637 | + | 0.382602i | |||||
0 | 0 | |||||||||
2.04988 | + | 5.42091i | 0.0962058 | + | 0.254416i | |||||
−37.4202 | + | 38.5845i | −1.75428 | + | 1.80887i | |||||
0 | 0 | |||||||||
1.44447 | 0.0675695 | 0.0337847 | − | 0.999429i | ||||||
0.0337847 | + | 0.999429i | ||||||||
9.75513 | + | 25.7974i | 0.455827 | + | 1.20543i | |||||
0 | 0 | |||||||||
−20.3641 | + | 18.5333i | −0.949482 | + | 0.864120i | |||||
−26.8623 | + | 26.8623i | −1.25110 | + | 1.25110i | −0.295878 | + | 0.955226i | ||
−0.955226 | + | 0.295878i | ||||||||
0 | 0 | |||||||||
20.2597 | 0.941547 | 0.470774 | − | 0.882254i | ||||||
0.470774 | + | 0.882254i | ||||||||
−11.3185 | − | 14.5628i | −0.525450 | − | 0.676059i | |||||
0 | 0 | |||||||||
−35.9044 | − | 16.2010i | −1.66324 | − | 0.750498i | |||||
−9.09888 | + | 9.09888i | −0.421046 | + | 0.421046i | −0.885564 | − | 0.464518i | ||
0.464518 | + | 0.885564i | ||||||||
0 | 0 | |||||||||
−0.203955 | + | 0.203955i | −0.00941777 | + | 0.00941777i | |||||
2.12751 | − | 4.91436i | 0.0981346 | − | 0.226683i | |||||
0 | 0 | |||||||||
−7.74561 | + | 14.6545i | −0.356521 | + | 0.674529i | |||||
− | 1.05825i | − | 0.0486586i | |||||||
0 | 0 | |||||||||
17.3433 | − | 18.4399i | 0.795765 | − | 0.846079i | |||||
39.0169 | − | 34.4314i | 1.78833 | − | 1.57816i | |||||
0 | 0 | |||||||||
13.2583 | − | 29.3827i | 0.606419 | − | 1.34393i | |||||
4.60465 | 0.210392 | 0.105196 | − | 0.994452i | ||||||
0.105196 | + | 0.994452i | ||||||||
0 | 0 | |||||||||
−15.5434 | −0.708718 | |||||||||
−2.51968 | + | 5.58406i | −0.114768 | + | 0.254347i | |||||
0 | 0 | |||||||||
16.2262 | − | 14.3192i | 0.737553 | − | 0.650873i | |||||
7.39446 | − | 0.113273i | 0.335765 | − | 0.00514344i | |||||
0 | 0 | |||||||||
− | 32.2084i | − | 1.45950i | −0.683713 | − | 0.729751i | ||||
0.683713 | − | 0.729751i | ||||||||
−33.1801 | − | 17.5372i | −1.50199 | − | 0.793874i | |||||
0 | 0 | |||||||||
51.6219 | + | 22.3480i | 2.33204 | + | 1.00958i | |||||
17.4179 | − | 17.4179i | 0.786059 | − | 0.786059i | −0.194786 | − | 0.980846i | ||
0.980846 | + | 0.194786i | ||||||||
0 | 0 | |||||||||
17.0388 | − | 17.0388i | 0.767389 | − | 0.767389i | |||||
31.5092 | + | 14.2178i | 1.41767 | + | 0.639690i | |||||
0 | 0 | |||||||||
30.8399 | + | 3.86580i | 1.38475 | + | 0.173579i | |||||
24.7336 | 1.10945 | |||||||||
0 | 0 | |||||||||
−15.6000 | + | 15.6000i | −0.698354 | + | 0.698354i | −0.964055 | − | 0.265701i | ||
0.265701 | + | 0.964055i | ||||||||
−16.0685 | + | 15.5500i | −0.718606 | + | 0.695417i | |||||
0 | 0 | |||||||||
3.51766 | + | 9.30245i | 0.157001 | + | 0.415189i | |||||
2.39149 | 0.106631 | 0.0533157 | − | 0.998578i | ||||||
0.0533157 | + | 0.998578i | ||||||||
0 | 0 | |||||||||
16.6401 | − | 17.1579i | 0.740477 | − | 0.763516i | |||||
−1.30503 | − | 3.45114i | −0.0580156 | − | 0.153422i | |||||
0 | 0 | |||||||||
−12.6736 | − | 14.3614i | −0.562298 | − | 0.637183i | |||||
1.78164 | − | 1.78164i | 0.0789700 | − | 0.0789700i | −0.666518 | − | 0.745489i | ||
0.745489 | + | 0.666518i | ||||||||
0 | 0 | |||||||||
− | 19.2889i | − | 0.853291i | |||||||
14.1093 | − | 17.6898i | 0.623549 | − | 0.781784i | |||||
0 | 0 | |||||||||
4.69384 | − | 10.4024i | 0.207036 | − | 0.458829i | |||||
29.1979 | − | 0.447269i | 1.28661 | − | 0.0197090i | |||||
0 | 0 | |||||||||
0.507402 | + | 0.507402i | 0.0223155 | + | 0.0223155i | |||||
8.01776 | + | 21.2029i | 0.352280 | + | 0.931603i | |||||
0 | 0 | |||||||||
−27.2114 | − | 13.8535i | −1.19330 | − | 0.607518i | |||||
6.52761 | 0.285980 | 0.142990 | − | 0.989724i | ||||||
0.142990 | + | 0.989724i | ||||||||
0 | 0 | |||||||||
−8.63265 | + | 8.63265i | −0.377479 | + | 0.377479i | −0.870192 | − | 0.492713i | ||
0.492713 | + | 0.870192i | ||||||||
−2.20376 | + | 35.2991i | −0.0962715 | + | 1.54205i | |||||
0 | 0 | |||||||||
10.2010 | − | 22.6071i | 0.444783 | − | 0.985718i | |||||
40.6065i | 1.76885i | |||||||||
0 | 0 | |||||||||
14.9090 | 0.648219 | |||||||||
−12.2735 | + | 4.85731i | −0.533128 | + | 0.210988i | |||||
0 | 0 | |||||||||
3.14128 | − | 50.3161i | 0.136192 | − | 2.18148i | |||||
−24.9982 | + | 24.9982i | −1.08279 | + | 1.08279i | |||||
0 | 0 | |||||||||
−16.4298 | + | 16.9410i | −0.710324 | + | 0.732425i | |||||
−0.144868 | − | 0.0765699i | −0.00625736 | − | 0.00330732i | |||||
0 | 0 | |||||||||
−1.32382 | − | 3.50085i | −0.0570741 | − | 0.150932i | |||||
−5.32990 | + | 5.32990i | −0.229575 | + | 0.229575i | |||||
0 | 0 | |||||||||
28.4777 | + | 28.4777i | 1.22435 | + | 1.22435i | 0.966070 | + | 0.258280i | ||
0.258280 | + | 0.966070i | ||||||||
29.5483 | + | 13.3330i | 1.26921 | + | 0.572701i | |||||
0 | 0 | |||||||||
25.2243 | + | 15.4157i | 1.08148 | + | 0.660942i | |||||
−7.56144 | + | 7.79671i | −0.323897 | + | 0.333974i | |||||
0 | 0 | |||||||||
7.40756 | + | 7.40756i | 0.316724 | + | 0.316724i | 0.847508 | − | 0.530783i | ||
−0.530783 | + | 0.847508i | ||||||||
4.82055 | − | 4.25401i | 0.205924 | − | 0.181722i | |||||
0 | 0 | |||||||||
−1.14513 | − | 2.76883i | −0.0488286 | − | 0.118063i | |||||
− | 23.3450i | − | 0.994531i | |||||||
0 | 0 | |||||||||
−2.59519 | −0.110359 | |||||||||
−24.7909 | + | 9.37451i | −1.05326 | + | 0.398285i | |||||
0 | 0 | |||||||||
−0.128408 | + | 2.05680i | −0.00544571 | + | 0.0872278i | |||||
1.55719 | + | 1.55719i | 0.0659803 | + | 0.0659803i | 0.739327 | − | 0.673347i | ||
−0.673347 | + | 0.739327i | ||||||||
0 | 0 | |||||||||
12.0575i | 0.509980i | |||||||||
−4.86129 | + | 44.2655i | −0.205427 | + | 1.87056i | |||||
0 | 0 | |||||||||
−7.12444 | + | 15.7890i | −0.300526 | + | 0.666020i | |||||
−14.0768 | + | 14.0768i | −0.593265 | + | 0.593265i | −0.938512 | − | 0.345247i | ||
0.345247 | + | 0.938512i | ||||||||
0 | 0 | |||||||||
−0.185780 | − | 12.1277i | −0.00781581 | − | 0.510218i | |||||
−1.85638 | − | 4.90920i | −0.0780296 | − | 0.206349i | |||||
0 | 0 | |||||||||
4.14127 | + | 13.4269i | 0.173764 | + | 0.563379i | |||||
−19.8358 | −0.831559 | −0.415779 | − | 0.909466i | ||||||
−0.415779 | + | 0.909466i | ||||||||
0 | 0 | |||||||||
−14.2584 | − | 14.2584i | −0.596696 | − | 0.596696i | 0.342736 | − | 0.939432i | ||
−0.939432 | + | 0.342736i | ||||||||
3.06787 | − | 2.70732i | 0.128274 | − | 0.113199i | |||||
0 | 0 | |||||||||
46.9952 | + | 21.2055i | 1.96154 | + | 0.885101i | |||||
30.7707 | − | 0.942948i | 1.28323 | − | 0.0393236i | |||||
0 | 0 | |||||||||
− | 16.0197i | − | 0.666908i | −0.942766 | − | 0.333454i | ||||
0.942766 | − | 0.333454i | ||||||||
−5.99665 | + | 13.2896i | −0.249428 | + | 0.552776i | |||||
0 | 0 | |||||||||
−0.969507 | + | 20.5983i | −0.0402566 | + | 0.855297i | |||||
47.2494 | + | 47.2494i | 1.96023 | + | 1.96023i | |||||
0 | 0 | |||||||||
− | 1.76874i | − | 0.0732536i | |||||||
10.4712 | − | 3.22964i | 0.433301 | − | 0.133644i | |||||
0 | 0 | |||||||||
2.80743 | + | 7.42423i | 0.115974 | + | 0.306692i | |||||
−6.80793 | − | 6.80793i | −0.280993 | − | 0.280993i | 0.552512 | − | 0.833505i | ||
−0.833505 | + | 0.552512i | ||||||||
0 | 0 | |||||||||
27.8177 | + | 27.8177i | 1.14621 | + | 1.14621i | |||||
17.2317 | − | 6.81952i | 0.709417 | − | 0.280755i | |||||
0 | 0 | |||||||||
−10.1678 | + | 7.90264i | −0.417893 | + | 0.324797i | |||||
−27.4172 | −1.12589 | −0.562944 | − | 0.826495i | ||||||
−0.562944 | + | 0.826495i | ||||||||
0 | 0 | |||||||||
−58.1722 | + | 0.891115i | −2.38483 | + | 0.0365321i | |||||
−0.687367 | + | 11.0100i | −0.0281556 | + | 0.450988i | |||||
0 | 0 | |||||||||
14.8692 | + | 39.3216i | 0.608048 | + | 1.60798i | |||||
− | 39.5624i | − | 1.61647i | −0.588857 | − | 0.808237i | ||||
0.588857 | − | 0.808237i | ||||||||
0 | 0 | |||||||||
20.5453i | 0.838061i | 0.907972 | + | 0.419030i | ||||||
−0.907972 | + | 0.419030i | ||||||||
16.4478 | − | 6.21965i | 0.670364 | − | 0.253494i | |||||
0 | 0 | |||||||||
−3.29242 | − | 3.73089i | −0.133967 | − | 0.151808i | |||||
−24.1924 | + | 0.370593i | −0.983561 | + | 0.0150668i | |||||
0 | 0 | |||||||||
−19.1918 | −0.778971 | −0.389485 | − | 0.921033i | ||||||
−0.389485 | + | 0.921033i | ||||||||
27.8406 | − | 6.71941i | 1.12908 | − | 0.272508i | |||||
0 | 0 | |||||||||
15.4404 | + | 39.0152i | 0.625165 | + | 1.57968i | |||||
−5.78124 | − | 5.78124i | −0.233884 | − | 0.233884i | |||||
0 | 0 | |||||||||
3.14030 | + | 3.14030i | 0.126836 | + | 0.126836i | 0.767675 | − | 0.640839i | ||
−0.640839 | + | 0.767675i | ||||||||
−10.5941 | + | 4.00608i | −0.427542 | + | 0.161672i | |||||
0 | 0 | |||||||||
−5.27558 | − | 2.78840i | −0.212559 | − | 0.112348i | |||||
− | 26.9611i | − | 1.08541i | −0.839922 | − | 0.542707i | ||||
0.839922 | − | 0.542707i | ||||||||
0 | 0 | |||||||||
−10.1272 | − | 10.1272i | −0.407046 | − | 0.407046i | 0.473661 | − | 0.880707i | ||
−0.880707 | + | 0.473661i | ||||||||
−23.3895 | − | 25.7000i | −0.939343 | − | 1.03214i | |||||
0 | 0 | |||||||||
38.1216 | + | 17.2015i | 1.52854 | + | 0.689717i | |||||
− | 17.5565i | − | 0.703385i | |||||||
0 | 0 | |||||||||
24.9531 | − | 1.53078i | 0.998124 | − | 0.0612312i | |||||
−7.11997 | + | 15.7791i | −0.284571 | + | 0.630660i | |||||
0 | 0 | |||||||||
−19.4323 | − | 1.21317i | −0.775432 | − | 0.0484109i | |||||
−11.8966 | − | 11.8966i | −0.474347 | − | 0.474347i | |||||
0 | 0 | |||||||||
−24.9414 | −0.992900 | −0.496450 | − | 0.868065i | ||||||
−0.496450 | + | 0.868065i | ||||||||
−0.434526 | − | 1.40882i | −0.0172845 | − | 0.0560400i | |||||
0 | 0 | |||||||||
−22.4630 | + | 8.49425i | −0.892120 | + | 0.337350i | |||||
0.328003 | + | 21.4121i | 0.0130164 | + | 0.849713i | |||||
0 | 0 | |||||||||
60.7278 | − | 60.7278i | 2.40612 | − | 2.40612i | |||||
−2.51865 | − | 1.13648i | −0.0997142 | − | 0.0449938i | |||||
0 | 0 | |||||||||
−24.8440 | + | 4.77261i | −0.982044 | + | 0.188654i | |||||
20.1001i | 0.793908i | 0.917839 | + | 0.396954i | ||||||
−0.917839 | + | 0.396954i | ||||||||
0 | 0 | |||||||||
−6.20809 | − | 6.20809i | −0.244823 | − | 0.244823i | 0.574019 | − | 0.818842i | ||
−0.818842 | + | 0.574019i | ||||||||
45.9691 | − | 40.5666i | 1.81144 | − | 1.59855i | |||||
0 | 0 | |||||||||
13.2344 | + | 34.9984i | 0.520702 | + | 1.37699i | |||||
3.57164 | 0.140416 | 0.0702078 | − | 0.997532i | ||||||
0.0702078 | + | 0.997532i | ||||||||
0 | 0 | |||||||||
2.48326i | 0.0974763i | |||||||||
13.0474 | + | 31.5475i | 0.511762 | + | 1.23739i | |||||
0 | 0 | |||||||||
−0.168166 | + | 2.69363i | −0.00658588 | + | 0.105491i | |||||
−27.2873 | − | 27.2873i | −1.06783 | − | 1.06783i | −0.997525 | − | 0.0703096i | ||
−0.0703096 | − | 0.997525i | ||||||||
0 | 0 | |||||||||
27.5292 | − | 28.3857i | 1.07565 | − | 1.10912i | |||||
−3.64299 | + | 29.0624i | −0.142235 | + | 1.13470i | |||||
0 | 0 | |||||||||
−4.90412 | + | 10.8684i | −0.191182 | + | 0.423694i | |||||
−32.0510 | − | 32.0510i | −1.24853 | − | 1.24853i | −0.956370 | − | 0.292159i | ||
−0.292159 | − | 0.956370i | ||||||||
0 | 0 | |||||||||
11.8765 | − | 11.8765i | 0.461942 | − | 0.461942i | −0.437350 | − | 0.899291i | ||
0.899291 | + | 0.437350i | ||||||||
−11.6446 | + | 4.40334i | −0.452580 | + | 0.171140i | |||||
0 | 0 | |||||||||
−17.7386 | + | 33.5610i | −0.688392 | + | 1.30242i | |||||
−39.2407 | + | 40.4616i | −1.52169 | + | 1.56903i | |||||
0 | 0 | |||||||||
20.0749 | − | 20.0749i | 0.777302 | − | 0.777302i | |||||
−12.8814 | − | 14.5969i | −0.498397 | − | 0.564772i | |||||
0 | 0 | |||||||||
0.0674150 | + | 0.170345i | 0.00260447 | + | 0.00658101i | |||||
−5.62247 | −0.217053 | |||||||||
0 | 0 | |||||||||
4.29764i | 0.165662i | 0.996564 | + | 0.0828309i | ||||||
−0.996564 | + | 0.0828309i | ||||||||
3.15476 | + | 1.42351i | 0.121517 | + | 0.0548317i | |||||
0 | 0 | |||||||||
−15.4601 | + | 13.6431i | −0.594618 | + | 0.524736i | |||||
−22.4731 | + | 22.4731i | −0.863711 | + | 0.863711i | −0.991767 | − | 0.128056i | ||
0.128056 | + | 0.991767i | ||||||||
0 | 0 | |||||||||
−16.4663 | −0.631919 | |||||||||
−10.2238 | − | 31.4302i | −0.392066 | − | 1.20529i | |||||
0 | 0 | |||||||||
4.35542 | − | 1.64698i | 0.166778 | − | 0.0630659i | |||||
−6.83685 | − | 6.83685i | −0.261605 | − | 0.261605i | 0.564101 | − | 0.825706i | ||
−0.825706 | + | 0.564101i | ||||||||
0 | 0 | |||||||||
−7.18720 | + | 0.110098i | −0.274609 | + | 0.00420661i | |||||
−69.2392 | − | 31.2426i | −2.64356 | − | 1.19285i | |||||
0 | 0 | |||||||||
6.13035 | + | 7.88750i | 0.233717 | + | 0.300708i | |||||
20.1527i | 0.767755i | |||||||||
0 | 0 | |||||||||
8.12866 | − | 8.12866i | 0.309229 | − | 0.309229i | −0.535381 | − | 0.844610i | ||
0.844610 | + | 0.535381i | ||||||||
−1.38417 | + | 22.1712i | −0.0526182 | + | 0.842821i | |||||
0 | 0 | |||||||||
14.6037 | − | 5.52231i | 0.554349 | − | 0.209624i | |||||
1.60406 | − | 1.65397i | 0.0608456 | − | 0.0627388i | |||||
0 | 0 | |||||||||
−38.2661 | −1.44943 | |||||||||
34.4233 | − | 13.0170i | 1.30294 | − | 0.492699i | |||||
0 | 0 | |||||||||
36.3040 | − | 34.0713i | 1.37216 | − | 1.28777i | |||||
−32.3973 | + | 32.3973i | −1.22363 | + | 1.22363i | −0.257298 | + | 0.966332i | ||
−0.966332 | + | 0.257298i | ||||||||
0 | 0 | |||||||||
−16.2996 | −0.614750 | |||||||||
0.630392 | − | 3.33078i | 0.0237588 | − | 0.125533i | |||||
0 | 0 | |||||||||
13.7726 | − | 30.5224i | 0.518337 | − | 1.14873i | |||||
−37.6315 | + | 37.6315i | −1.41528 | + | 1.41528i | |||||
0 | 0 | |||||||||
11.9419 | − | 11.9419i | 0.448488 | − | 0.448488i | −0.446364 | − | 0.894852i | ||
0.894852 | + | 0.446364i | ||||||||
6.24116 | − | 14.4166i | 0.234227 | − | 0.541044i | |||||
0 | 0 | |||||||||
9.53071 | − | 2.93957i | 0.357178 | − | 0.110165i | |||||
47.8421i | 1.79170i | |||||||||
0 | 0 | |||||||||
−4.57403 | + | 0.0700677i | −0.171059 | + | 0.00262038i | |||||
1.60986 | − | 25.7863i | 0.0601634 | − | 0.963680i | |||||
0 | 0 | |||||||||
−0.594717 | − | 0.268353i | −0.0221947 | − | 0.0100148i | |||||
50.1912 | 1.87182 | 0.935908 | − | 0.352243i | ||||||
0.935908 | + | 0.352243i | ||||||||
0 | 0 | |||||||||
−65.0191 | −2.42144 | |||||||||
8.55000 | + | 3.85799i | 0.318198 | + | 0.143580i | |||||
0 | 0 | |||||||||
44.8862 | + | 2.80229i | 1.66818 | + | 0.104146i | |||||
15.7954 | − | 16.7941i | 0.586627 | − | 0.623717i | |||||
0 | 0 | |||||||||
− | 8.79380i | − | 0.326144i | −0.986614 | − | 0.163072i | ||||
0.986614 | − | 0.163072i | ||||||||
60.1089 | + | 31.7704i | 2.22779 | + | 1.17749i | |||||
0 | 0 | |||||||||
−11.2430 | − | 4.86728i | −0.416122 | − | 0.180146i | |||||
−9.22857 | + | 9.22857i | −0.341331 | + | 0.341331i | |||||
0 | 0 | |||||||||
−23.9818 | + | 23.9818i | −0.885787 | + | 0.885787i | −0.994115 | − | 0.108328i | ||
0.108328 | + | 0.994115i | ||||||||
11.7513 | − | 26.0429i | 0.433747 | − | 0.961260i | |||||
0 | 0 | |||||||||
29.7189 | + | 18.1625i | 1.09545 | + | 0.669480i | |||||
−0.0245484 | −0.000904253 | |||||||||
0 | 0 | |||||||||
−4.55372 | + | 4.55372i | −0.167511 | + | 0.167511i | −0.785884 | − | 0.618373i | ||
0.618373 | + | 0.785884i | ||||||||
14.3818 | + | 0.676913i | 0.528685 | + | 0.0248838i | |||||
0 | 0 | |||||||||
27.4905 | − | 10.3954i | 1.00921 | − | 0.381626i | |||||
−5.94900 | −0.218248 | −0.109124 | − | 0.994028i | ||||||
−0.109124 | + | 0.994028i | ||||||||
0 | 0 | |||||||||
8.58653 | − | 8.85369i | 0.314586 | − | 0.324374i | |||||
10.6028 | − | 4.00937i | 0.388195 | − | 0.146794i | |||||
0 | 0 | |||||||||
4.42019 | + | 0.275957i | 0.161618 | + | 0.0100900i | |||||
37.1559 | − | 37.1559i | 1.35765 | − | 1.35765i | |||||
0 | 0 | |||||||||
40.6618i | 1.48377i | 0.670528 | + | 0.741884i | ||||||
−0.670528 | + | 0.741884i | ||||||||
−6.72115 | − | 0.842499i | −0.245095 | − | 0.0307228i | |||||
0 | 0 | |||||||||
28.6970 | + | 12.9489i | 1.04508 | + | 0.471570i | |||||
0.0852107 | + | 5.56257i | 0.00310113 | + | 0.202443i | |||||
0 | 0 | |||||||||
13.2358 | + | 13.2358i | 0.481064 | + | 0.481064i | 0.905471 | − | 0.424407i | ||
−0.424407 | + | 0.905471i | ||||||||
−11.6029 | + | 4.38756i | −0.421436 | + | 0.159363i | |||||
0 | 0 | |||||||||
−28.5353 | − | 14.5275i | −1.03508 | − | 0.526968i | |||||
3.22651 | 0.116961 | 0.0584805 | − | 0.998289i | ||||||
0.0584805 | + | 0.998289i | ||||||||
0 | 0 | |||||||||
17.1001 | − | 17.1001i | 0.619065 | − | 0.619065i | |||||
−2.86839 | − | 3.25039i | −0.103775 | − | 0.117595i | |||||
0 | 0 | |||||||||
−6.31215 | − | 2.84821i | −0.228067 | − | 0.102910i | |||||
− | 28.2937i | − | 1.02163i | |||||||
0 | 0 | |||||||||
33.3777 | 1.20363 | 0.601815 | − | 0.798635i | ||||||
0.601815 | + | 0.798635i | ||||||||
2.45501 | + | 6.20335i | 0.0884723 | + | 0.223553i | |||||
0 | 0 | |||||||||
34.5685 | − | 30.5059i | 1.24415 | − | 1.09793i | |||||
22.5192 | − | 22.5192i | 0.809958 | − | 0.809958i | −0.174669 | − | 0.984627i | ||
0.984627 | + | 0.174669i | ||||||||
0 | 0 | |||||||||
1.19002 | + | 38.8333i | 0.0427468 | + | 1.39493i | |||||
−2.75704 | − | 8.93891i | −0.0989720 | − | 0.320888i | |||||
0 | 0 | |||||||||
25.7485 | − | 9.73662i | 0.923127 | − | 0.349075i | |||||
−26.2144 | + | 26.2144i | −0.939227 | + | 0.939227i | |||||
0 | 0 | |||||||||
1.48849 | + | 1.48849i | 0.0532624 | + | 0.0532624i | |||||
−18.7153 | + | 41.4764i | −0.669258 | + | 1.48319i | |||||
0 | 0 | |||||||||
8.84986 | − | 70.6009i | 0.316066 | − | 2.52146i | |||||
15.6264 | + | 15.1549i | 0.557731 | + | 0.540901i | |||||
0 | 0 | |||||||||
23.0883 | + | 23.0883i | 0.823007 | + | 0.823007i | 0.986538 | − | 0.163531i | ||
−0.163531 | + | 0.986538i | ||||||||
−4.31251 | − | 0.269234i | −0.153627 | − | 0.00959108i | |||||
0 | 0 | |||||||||
−0.654858 | + | 1.51267i | −0.0232988 | + | 0.0538183i | |||||
27.0066i | 0.960244i | |||||||||
0 | 0 | |||||||||
64.0614 | 2.27489 | |||||||||
−11.4984 | − | 30.4075i | −0.408063 | − | 1.07912i | |||||
0 | 0 | |||||||||
4.13886 | + | 4.69006i | 0.146698 | + | 0.166235i | |||||
14.3550 | + | 14.3550i | 0.508481 | + | 0.508481i | 0.914060 | − | 0.405579i | ||
−0.405579 | + | 0.914060i | ||||||||
0 | 0 | |||||||||
− | 8.84965i | − | 0.313078i | |||||||
24.5745 | + | 14.0033i | 0.868841 | + | 0.495091i | |||||
0 | 0 | |||||||||
−12.9355 | − | 5.83685i | −0.456768 | − | 0.206106i | |||||
1.16083 | − | 1.16083i | 0.0409646 | − | 0.0409646i | |||||
0 | 0 | |||||||||
−68.5377 | + | 1.04990i | −2.41563 | + | 0.0370041i | |||||
−49.6248 | + | 18.7653i | −1.74796 | + | 0.660980i | |||||
0 | 0 | |||||||||
−26.7295 | − | 14.1278i | −0.940340 | − | 0.497014i | |||||
−26.4918 | −0.931404 | −0.465702 | − | 0.884942i | ||||||
−0.465702 | + | 0.884942i | ||||||||
0 | 0 | |||||||||
−15.3655 | − | 15.3655i | −0.539554 | − | 0.539554i | 0.383844 | − | 0.923398i | ||
−0.923398 | + | 0.383844i | ||||||||
2.86092 | − | 45.8253i | 0.100399 | − | 1.60815i | |||||
0 | 0 | |||||||||
−0.793497 | + | 1.75853i | −0.0278120 | + | 0.0616364i | |||||
2.10072 | − | 2.16608i | 0.0735849 | − | 0.0758744i | |||||
0 | 0 | |||||||||
12.6441i | 0.442362i | |||||||||
−43.0431 | − | 19.4222i | −1.50497 | − | 0.679082i | |||||
0 | 0 | |||||||||
24.2187 | − | 22.0414i | 0.845754 | − | 0.769718i | |||||
38.5448 | + | 38.5448i | 1.34522 | + | 1.34522i | 0.890772 | + | 0.454450i | ||
0.454450 | + | 0.890772i | ||||||||
0 | 0 | |||||||||
15.7862i | 0.550272i | 0.961405 | + | 0.275136i | ||||||
−0.961405 | + | 0.275136i | ||||||||
−10.8865 | − | 35.2963i | −0.379249 | − | 1.22960i | |||||
0 | 0 | |||||||||
−38.5958 | + | 14.5948i | −1.34292 | + | 0.507817i | |||||
−38.2660 | − | 38.2660i | −1.33064 | − | 1.33064i | −0.904799 | − | 0.425840i | ||
−0.425840 | − | 0.904799i | ||||||||
0 | 0 | |||||||||
17.1402 | + | 17.1402i | 0.595303 | + | 0.595303i | 0.939059 | − | 0.343756i | ||
−0.343756 | + | 0.939059i | ||||||||
39.4631 | − | 15.6177i | 1.36979 | − | 0.542099i | |||||
0 | 0 | |||||||||
−7.18257 | + | 37.9503i | −0.249011 | + | 1.31569i | |||||
92.9594 | 3.22085 | |||||||||
0 | 0 | |||||||||
0.333382 | + | 21.7633i | 0.0115372 | + | 0.753149i | |||||
3.21712 | − | 2.83903i | 0.111266 | − | 0.0981897i | |||||
0 | 0 | |||||||||
−24.1519 | + | 9.13288i | −0.834312 | + | 0.315490i | |||||
49.2982i | 1.70196i | 0.525197 | + | 0.850981i | ||||||
−0.525197 | + | 0.850981i | ||||||||
0 | 0 | |||||||||
7.73855i | 0.266847i | |||||||||
0.653461 | + | 1.72807i | 0.0225197 | + | 0.0595534i | |||||
0 | 0 | |||||||||
−7.51871 | − | 0.469400i | −0.258805 | − | 0.0161574i | |||||
23.0502 | − | 0.353096i | 0.792951 | − | 0.0121469i | |||||
0 | 0 | |||||||||
53.8727 | 1.85109 | |||||||||
10.2461 | + | 13.1829i | 0.351853 | + | 0.452704i | |||||
0 | 0 | |||||||||
−14.1595 | + | 34.1319i | −0.485667 | + | 1.17071i | |||||
−14.0164 | − | 14.0164i | −0.480474 | − | 0.480474i | |||||
0 | 0 | |||||||||
−36.9286 | − | 36.9286i | −1.26441 | − | 1.26441i | −0.948933 | − | 0.315477i | ||
−0.315477 | − | 0.948933i | ||||||||
−33.0448 | − | 87.3869i | −1.13077 | − | 2.99032i | |||||
0 | 0 | |||||||||
26.3917 | + | 13.9493i | 0.902048 | + | 0.476776i | |||||
− | 2.74943i | − | 0.0939189i | −0.998897 | − | 0.0469594i | ||||
0.998897 | − | 0.0469594i | ||||||||
0 | 0 | |||||||||
14.1089 | + | 14.1089i | 0.481390 | + | 0.481390i | 0.905575 | − | 0.424186i | ||
−0.424186 | + | 0.905575i | ||||||||
0.525105 | − | 11.1565i | 0.0179059 | − | 0.380432i | |||||
0 | 0 | |||||||||
13.6998 | − | 30.3613i | 0.466618 | − | 1.03411i | |||||
− | 3.40986i | − | 0.116073i | −0.998314 | − | 0.0580364i | ||||
0.998314 | − | 0.0580364i | ||||||||
0 | 0 | |||||||||
17.2909 | − | 17.8289i | 0.587909 | − | 0.606201i | |||||
49.7236 | + | 22.4366i | 1.68968 | + | 0.762428i | |||||
0 | 0 | |||||||||
51.1960 | + | 58.0141i | 1.73771 | + | 1.96913i | |||||
−0.156181 | − | 0.156181i | −0.00529807 | − | 0.00529807i | |||||
0 | 0 | |||||||||
0.279700 | 0.00947728 | |||||||||
12.1461 | + | 6.41981i | 0.411320 | + | 0.217402i | |||||
0 | 0 | |||||||||
15.5926 | + | 41.2346i | 0.527428 | + | 1.39478i | |||||
−55.6058 | + | 2.55700i | −1.87982 | + | 0.0864425i | |||||
0 | 0 | |||||||||
31.8968 | − | 31.8968i | 1.07708 | − | 1.07708i | 0.0803069 | − | 0.996770i | ||
0.996770 | − | 0.0803069i | ||||||||
17.6556 | − | 39.1279i | 0.595847 | − | 1.32050i | |||||
0 | 0 | |||||||||
−2.95650 | + | 2.37139i | −0.0996636 | + | 0.0799394i | |||||
7.77943i | 0.262096i | 0.991376 | + | 0.131048i | ||||||
−0.991376 | + | 0.131048i | ||||||||
0 | 0 | |||||||||
−29.0951 | − | 29.0951i | −0.979129 | − | 0.979129i | 0.0206577 | − | 0.999787i | ||
−0.999787 | + | 0.0206577i | ||||||||
−50.3628 | − | 3.14420i | −1.69388 | − | 0.105751i | |||||
0 | 0 | |||||||||
−8.88148 | + | 3.35848i | −0.298379 | + | 0.112830i | |||||
20.4586 | 0.686933 | 0.343467 | − | 0.939165i | ||||||
0.343467 | + | 0.939165i | ||||||||
0 | 0 | |||||||||
− | 47.6814i | − | 1.59918i | |||||||
−10.2332 | − | 4.43012i | −0.343018 | − | 0.148498i | |||||
0 | 0 | |||||||||
−30.2376 | − | 34.2646i | −1.01243 | − | 1.14726i | |||||
−6.06250 | − | 6.06250i | −0.202874 | − | 0.202874i | |||||
0 | 0 | |||||||||
−20.1103 | + | 20.7360i | −0.672213 | + | 0.693128i | |||||
55.4734 | − | 9.77808i | 1.85324 | − | 0.326663i | |||||
0 | 0 | |||||||||
13.0541 | + | 5.89035i | 0.435620 | + | 0.196564i | |||||
25.3349 | + | 25.3349i | 0.844968 | + | 0.844968i | |||||
0 | 0 | |||||||||
−15.4244 | + | 15.4244i | −0.513861 | + | 0.513861i | |||||
1.55205 | + | 4.10439i | 0.0516776 | + | 0.136661i | |||||
0 | 0 | |||||||||
−14.6608 | + | 4.52186i | −0.487611 | + | 0.150395i | |||||
−36.0951 | − | 35.0060i | −1.19984 | − | 1.16364i | |||||
0 | 0 | |||||||||
−24.1511 | + | 24.1511i | −0.801925 | + | 0.801925i | −0.983396 | − | 0.181471i | ||
0.181471 | + | 0.983396i | ||||||||
−8.18021 | − | 0.510698i | −0.271470 | − | 0.0169481i | |||||
0 | 0 | |||||||||
−27.9719 | − | 70.6798i | −0.927258 | − | 2.34301i | |||||
−29.3578 | −0.972668 | −0.486334 | − | 0.873773i | ||||||
−0.486334 | + | 0.873773i | ||||||||
0 | 0 | |||||||||
5.68703i | 0.188213i | |||||||||
−0.840189 | + | 1.86201i | −0.0277910 | + | 0.0615897i | |||||
0 | 0 | |||||||||
−38.9285 | − | 2.43035i | −1.28623 | − | 0.0803009i | |||||
−62.2568 | + | 62.2568i | −2.05590 | + | 2.05590i | |||||
0 | 0 | |||||||||
42.3082 | 1.39562 | 0.697809 | − | 0.716284i | ||||||
0.697809 | + | 0.716284i | ||||||||
−12.0456 | − | 37.0306i | −0.397131 | − | 1.22086i | |||||
0 | 0 | |||||||||
−19.0024 | − | 50.2518i | −0.625811 | − | 1.65496i | |||||
−16.9596 | − | 16.9596i | −0.558231 | − | 0.558231i | |||||
0 | 0 | |||||||||
−11.7257 | − | 11.0284i | −0.385539 | − | 0.362612i | |||||
−11.7842 | + | 26.1159i | −0.387253 | + | 0.858223i | |||||
0 | 0 | |||||||||
25.3558 | − | 6.11970i | 0.832344 | − | 0.200889i | |||||
− | 27.8428i | − | 0.913494i | −0.889597 | − | 0.456747i | ||||
0.889597 | − | 0.456747i | ||||||||
0 | 0 | |||||||||
63.6822 | − | 63.6822i | 2.08710 | − | 2.08710i | |||||
41.7682 | − | 36.8594i | 1.36816 | − | 1.20737i | |||||
0 | 0 | |||||||||
−6.43655 | − | 17.0214i | −0.210610 | − | 0.556958i | |||||
−3.55449 | − | 3.44723i | −0.116244 | − | 0.112737i | |||||
0 | 0 | |||||||||
−29.0721 | −0.949745 | −0.474873 | − | 0.880054i | ||||||
−0.474873 | + | 0.880054i | ||||||||
−0.144278 | − | 0.381542i | −0.00471084 | − | 0.0124578i | |||||
0 | 0 | |||||||||
5.09742 | + | 5.60097i | 0.166260 | + | 0.182683i | |||||
−3.40692 | + | 3.40692i | −0.111062 | + | 0.111062i | −0.760454 | − | 0.649392i | ||
0.649392 | + | 0.760454i | ||||||||
0 | 0 | |||||||||
−45.0846 | −1.46816 | |||||||||
−14.3852 | − | 18.5085i | −0.468200 | − | 0.602400i | |||||
0 | 0 | |||||||||
1.36415 | + | 0.615543i | 0.0443524 | + | 0.0200130i | |||||
9.01416 | − | 9.01416i | 0.292921 | − | 0.292921i | −0.545312 | − | 0.838233i | ||
0.838233 | + | 0.545312i | ||||||||
0 | 0 | |||||||||
−13.2262 | + | 13.2262i | −0.429341 | + | 0.429341i | |||||
13.6822 | + | 33.0822i | 0.443909 | + | 1.07333i | |||||
0 | 0 | |||||||||
21.6896 | + | 70.3224i | 0.702965 | + | 2.27916i | |||||
− | 35.7289i | − | 1.15737i | −0.815550 | − | 0.578687i | ||||
0.815550 | − | 0.578687i | ||||||||
0 | 0 | |||||||||
0.0742364 | + | 4.84617i | 0.00240223 | + | 0.156818i | |||||
30.1642 | + | 34.1814i | 0.975581 | + | 1.10550i | |||||
0 | 0 | |||||||||
−2.67834 | + | 5.93567i | −0.0865331 | + | 0.191773i | |||||
16.0048 | 0.516821 | |||||||||
0 | 0 | |||||||||
−29.3778 | −0.947671 | |||||||||
9.04095 | − | 20.0363i | 0.291492 | − | 0.645998i | |||||
0 | 0 | |||||||||
−5.73259 | − | 6.49604i | −0.184634 | − | 0.209223i | |||||
−51.5400 | + | 0.789519i | −1.65913 | + | 0.0254155i | |||||
0 | 0 | |||||||||
0.997773i | 0.0320862i | 0.999871 | + | 0.0160431i | ||||||
−0.999871 | + | 0.0160431i | ||||||||
9.02020 | + | 29.2454i | 0.289920 | + | 0.939982i | |||||
0 | 0 | |||||||||
−4.15504 | + | 9.59778i | −0.133410 | + | 0.308166i | |||||
42.0632 | − | 42.0632i | 1.34987 | − | 1.34987i | 0.464075 | − | 0.885796i | ||
0.885796 | − | 0.464075i | ||||||||
0 | 0 | |||||||||
−3.62757 | + | 3.62757i | −0.116295 | + | 0.116295i | |||||
41.5185 | + | 18.7343i | 1.33034 | + | 0.600285i | |||||
0 | 0 | |||||||||
41.9060 | − | 32.5704i | 1.34138 | − | 1.04255i | |||||
−16.7515 | −0.535927 | −0.267963 | − | 0.963429i | ||||||
−0.267963 | + | 0.963429i | ||||||||
0 | 0 | |||||||||
1.05657 | − | 1.05657i | 0.0337680 | − | 0.0337680i | |||||
−58.8342 | + | 53.5448i | −1.87939 | + | 1.71043i | |||||
0 | 0 | |||||||||
12.3214 | + | 32.5840i | 0.393193 | + | 1.03980i | |||||
−40.1381 | −1.28021 | −0.640103 | − | 0.768289i | ||||||
−0.640103 | + | 0.768289i | ||||||||
0 | 0 | |||||||||
3.46790 | + | 3.36326i | 0.110497 | + | 0.107162i | |||||
12.0532 | + | 31.8748i | 0.383854 | + | 1.01510i | |||||
0 | 0 | |||||||||
−36.6552 | + | 32.3473i | −1.16616 | + | 1.02911i | |||||
−10.8730 | + | 10.8730i | −0.345740 | + | 0.345740i | |||||
0 | 0 | |||||||||
52.3742i | 1.66372i | 0.554984 | + | 0.831861i | ||||||
−0.554984 | + | 0.831861i | ||||||||
−22.9215 | + | 37.5059i | −0.727760 | + | 1.19081i | |||||
0 | 0 | |||||||||
−14.3865 | + | 31.8830i | −0.456312 | + | 1.01127i | |||||
−0.107117 | − | 6.99264i | −0.00339585 | − | 0.221682i | |||||
0 | 0 | |||||||||
7.28564 | + | 7.28564i | 0.230738 | + | 0.230738i | 0.813001 | − | 0.582262i | ||
−0.582262 | + | 0.813001i | ||||||||
−11.0355 | − | 29.1833i | −0.349322 | − | 0.923781i | |||||
0 | 0 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 720.2.u.a.179.20 | yes | 96 | |
3.2 | odd | 2 | inner | 720.2.u.a.179.29 | yes | 96 | |
4.3 | odd | 2 | 2880.2.u.a.2159.25 | 96 | |||
5.4 | even | 2 | inner | 720.2.u.a.179.30 | yes | 96 | |
12.11 | even | 2 | 2880.2.u.a.2159.24 | 96 | |||
15.14 | odd | 2 | inner | 720.2.u.a.179.19 | ✓ | 96 | |
16.5 | even | 4 | 2880.2.u.a.719.1 | 96 | |||
16.11 | odd | 4 | inner | 720.2.u.a.539.19 | yes | 96 | |
20.19 | odd | 2 | 2880.2.u.a.2159.48 | 96 | |||
48.5 | odd | 4 | 2880.2.u.a.719.48 | 96 | |||
48.11 | even | 4 | inner | 720.2.u.a.539.30 | yes | 96 | |
60.59 | even | 2 | 2880.2.u.a.2159.1 | 96 | |||
80.59 | odd | 4 | inner | 720.2.u.a.539.29 | yes | 96 | |
80.69 | even | 4 | 2880.2.u.a.719.24 | 96 | |||
240.59 | even | 4 | inner | 720.2.u.a.539.20 | yes | 96 | |
240.149 | odd | 4 | 2880.2.u.a.719.25 | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
720.2.u.a.179.19 | ✓ | 96 | 15.14 | odd | 2 | inner | |
720.2.u.a.179.20 | yes | 96 | 1.1 | even | 1 | trivial | |
720.2.u.a.179.29 | yes | 96 | 3.2 | odd | 2 | inner | |
720.2.u.a.179.30 | yes | 96 | 5.4 | even | 2 | inner | |
720.2.u.a.539.19 | yes | 96 | 16.11 | odd | 4 | inner | |
720.2.u.a.539.20 | yes | 96 | 240.59 | even | 4 | inner | |
720.2.u.a.539.29 | yes | 96 | 80.59 | odd | 4 | inner | |
720.2.u.a.539.30 | yes | 96 | 48.11 | even | 4 | inner | |
2880.2.u.a.719.1 | 96 | 16.5 | even | 4 | |||
2880.2.u.a.719.24 | 96 | 80.69 | even | 4 | |||
2880.2.u.a.719.25 | 96 | 240.149 | odd | 4 | |||
2880.2.u.a.719.48 | 96 | 48.5 | odd | 4 | |||
2880.2.u.a.2159.1 | 96 | 60.59 | even | 2 | |||
2880.2.u.a.2159.24 | 96 | 12.11 | even | 2 | |||
2880.2.u.a.2159.25 | 96 | 4.3 | odd | 2 | |||
2880.2.u.a.2159.48 | 96 | 20.19 | odd | 2 |