Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [368,2,Mod(15,368)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(368, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 0, 17]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("368.15");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 368.s (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 | 15.5 | ||
Character | 368.15 | ||
Dual form | 368.2.s.b.319.5 |
-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 | 0 | |||||||||
0.106877 | − | 0.0488093i | 0.0617057 | − | 0.0281801i | −0.384323 | − | 0.923199i | ||
0.446029 | + | 0.895019i | ||||||||
0 | 0 | |||||||||
−1.32017 | + | 1.14393i | −0.590398 | + | 0.511582i | −0.898037 | − | 0.439921i | ||
0.307639 | + | 0.951503i | ||||||||
0 | 0 | |||||||||
−2.88624 | − | 1.85487i | −1.09090 | − | 0.701076i | −0.133846 | − | 0.991002i | ||
−0.957049 | + | 0.289926i | ||||||||
0 | 0 | |||||||||
−1.95554 | + | 2.25682i | −0.651847 | + | 0.752272i | |||||
0 | 0 | |||||||||
0.293255 | + | 2.03963i | 0.0884197 | + | 0.614973i | 0.985060 | + | 0.172213i | ||
−0.896640 | + | 0.442760i | ||||||||
0 | 0 | |||||||||
−3.33277 | + | 2.14184i | −0.924345 | + | 0.594041i | −0.913915 | − | 0.405905i | ||
−0.0104299 | + | 0.999946i | ||||||||
0 | 0 | |||||||||
−0.0852617 | + | 0.186697i | −0.0220145 | + | 0.0482050i | |||||
0 | 0 | |||||||||
0.842757 | + | 2.87017i | 0.204399 | + | 0.696118i | 0.996337 | + | 0.0855166i | ||
−0.791938 | + | 0.610601i | ||||||||
0 | 0 | |||||||||
−2.26214 | − | 0.664224i | −0.518970 | − | 0.152383i | 0.0117492 | − | 0.999931i | ||
−0.530719 | + | 0.847548i | ||||||||
0 | 0 | |||||||||
−0.399009 | − | 0.0573688i | −0.0870708 | − | 0.0125189i | |||||
0 | 0 | |||||||||
0.429086 | − | 4.77660i | 0.0894706 | − | 0.995989i | |||||
0 | 0 | |||||||||
−0.277311 | + | 1.92874i | −0.0554621 | + | 0.385748i | |||||
0 | 0 | |||||||||
−0.198156 | + | 0.674859i | −0.0381352 | + | 0.129877i | |||||
0 | 0 | |||||||||
1.50846 | − | 0.442925i | 0.280114 | − | 0.0822490i | −0.138658 | − | 0.990340i | ||
0.418772 | + | 0.908091i | ||||||||
0 | 0 | |||||||||
−7.01654 | − | 3.20435i | −1.26021 | − | 0.575518i | −0.330497 | − | 0.943807i | ||
−0.929711 | + | 0.368289i | ||||||||
0 | 0 | |||||||||
0.130895 | + | 0.203677i | 0.0227860 | + | 0.0354557i | |||||
0 | 0 | |||||||||
5.93217 | − | 0.852917i | 1.00272 | − | 0.144169i | |||||
0 | 0 | |||||||||
6.47012 | + | 5.60639i | 1.06368 | + | 0.921685i | 0.997100 | − | 0.0760963i | ||
0.0665804 | + | 0.997781i | ||||||||
0 | 0 | |||||||||
−0.251656 | + | 0.391585i | −0.0402973 | + | 0.0627038i | |||||
0 | 0 | |||||||||
−7.67520 | − | 8.85765i | −1.19866 | − | 1.38333i | −0.903889 | − | 0.427767i | ||
−0.294776 | − | 0.955567i | ||||||||
0 | 0 | |||||||||
4.27491 | + | 9.36074i | 0.651917 | + | 1.42750i | 0.889866 | + | 0.456222i | ||
−0.237949 | + | 0.971278i | ||||||||
0 | 0 | |||||||||
− | 5.21639i | − | 0.777613i | |||||||
0 | 0 | |||||||||
3.80368i | 0.554824i | 0.960751 | + | 0.277412i | ||||||
−0.960751 | + | 0.277412i | ||||||||
0 | 0 | |||||||||
1.98191 | + | 4.33978i | 0.283130 | + | 0.619969i | |||||
0 | 0 | |||||||||
0.230163 | + | 0.265622i | 0.0322292 | + | 0.0371945i | |||||
0 | 0 | |||||||||
2.11663 | − | 3.29354i | 0.290741 | − | 0.452402i | −0.664901 | − | 0.746931i | ||
0.955643 | + | 0.294529i | ||||||||
0 | 0 | |||||||||
−2.72035 | − | 2.35720i | −0.366812 | − | 0.317844i | |||||
0 | 0 | |||||||||
−0.274192 | + | 0.0394228i | −0.0363176 | + | 0.00522168i | |||||
0 | 0 | |||||||||
2.94726 | + | 4.58603i | 0.383701 | + | 0.597050i | 0.978355 | − | 0.206931i | ||
−0.594655 | + | 0.803981i | ||||||||
0 | 0 | |||||||||
−1.75278 | − | 0.800468i | −0.224421 | − | 0.102489i | 0.300032 | − | 0.953929i | ||
−0.524452 | + | 0.851440i | ||||||||
0 | 0 | |||||||||
9.83026 | − | 2.88643i | 1.23850 | − | 0.363655i | |||||
0 | 0 | |||||||||
1.94970 | − | 6.64007i | 0.241830 | − | 0.823599i | |||||
0 | 0 | |||||||||
0.399733 | − | 2.78020i | 0.0488351 | − | 0.339656i | −0.950726 | − | 0.310032i | ||
0.999561 | − | 0.0296233i | ||||||||
0 | 0 | |||||||||
−0.187283 | − | 0.531454i | −0.0225462 | − | 0.0639795i | |||||
0 | 0 | |||||||||
−8.82677 | − | 1.26910i | −1.04755 | − | 0.150614i | −0.403015 | − | 0.915193i | ||
−0.644530 | + | 0.764579i | ||||||||
0 | 0 | |||||||||
7.48818 | + | 2.19873i | 0.876425 | + | 0.257342i | 0.688846 | − | 0.724908i | ||
0.187579 | + | 0.982249i | ||||||||
0 | 0 | |||||||||
0.0645021 | + | 0.219674i | 0.00744806 | + | 0.0253658i | |||||
0 | 0 | |||||||||
2.93686 | − | 6.43082i | 0.334686 | − | 0.732860i | |||||
0 | 0 | |||||||||
−2.97137 | + | 1.90958i | −0.334305 | + | 0.214845i | −0.697014 | − | 0.717058i | ||
0.362709 | + | 0.931903i | ||||||||
0 | 0 | |||||||||
−1.26318 | − | 8.78560i | −0.140353 | − | 0.976178i | |||||
0 | 0 | |||||||||
6.57735 | − | 7.59066i | 0.721958 | − | 0.833184i | −0.269583 | − | 0.962977i | ||
0.991541 | + | 0.129793i | ||||||||
0 | 0 | |||||||||
−4.39586 | − | 2.82505i | −0.476798 | − | 0.306420i | |||||
0 | 0 | |||||||||
0.139602 | − | 0.120966i | 0.0149669 | − | 0.0129689i | |||||
0 | 0 | |||||||||
7.44478 | − | 3.39992i | 0.789145 | − | 0.360390i | 0.0202741 | − | 0.999794i | ||
0.768871 | + | 0.639404i | ||||||||
0 | 0 | |||||||||
13.5920 | 1.42483 | |||||||||
0 | 0 | |||||||||
−0.906312 | −0.0939802 | |||||||||
0 | 0 | |||||||||
3.74623 | − | 1.71085i | 0.384355 | − | 0.175529i | |||||
0 | 0 | |||||||||
−0.136456 | + | 0.118240i | −0.0138550 | + | 0.0120054i | −0.661761 | − | 0.749715i | ||
0.647906 | + | 0.761721i | ||||||||
0 | 0 | |||||||||
−5.17655 | − | 3.32677i | −0.520263 | − | 0.334353i | |||||
0 | 0 | |||||||||
0.0767173 | − | 0.0885364i | 0.00763365 | − | 0.00880970i | −0.751920 | − | 0.659254i | ||
0.759554 | + | 0.650445i | ||||||||
0 | 0 | |||||||||
2.11055 | + | 14.6792i | 0.207959 | + | 1.44638i | 0.779805 | + | 0.626023i | ||
−0.571846 | + | 0.820361i | ||||||||
0 | 0 | |||||||||
0.592385 | − | 0.380703i | 0.0578108 | − | 0.0371528i | |||||
0 | 0 | |||||||||
−6.90224 | + | 15.1138i | −0.667265 | + | 1.46111i | 0.208329 | + | 0.978059i | ||
−0.875594 | + | 0.483048i | ||||||||
0 | 0 | |||||||||
3.28732 | + | 11.1956i | 0.314868 | + | 1.07234i | 0.953140 | + | 0.302531i | ||
−0.638271 | + | 0.769811i | ||||||||
0 | 0 | |||||||||
0.965154 | + | 0.283395i | 0.0916083 | + | 0.0268986i | |||||
0 | 0 | |||||||||
−2.47103 | − | 0.355281i | −0.232455 | − | 0.0334220i | 0.0251028 | − | 0.999685i | ||
−0.257558 | + | 0.966263i | ||||||||
0 | 0 | |||||||||
4.89764 | + | 6.79676i | 0.456707 | + | 0.633801i | |||||
0 | 0 | |||||||||
1.68363 | − | 11.7099i | 0.155652 | − | 1.08258i | |||||
0 | 0 | |||||||||
2.89140 | − | 9.84719i | 0.265054 | − | 0.902691i | |||||
0 | 0 | |||||||||
6.48032 | − | 1.90279i | 0.589120 | − | 0.172981i | |||||
0 | 0 | |||||||||
−1.25264 | − | 0.572062i | −0.112947 | − | 0.0515811i | |||||
0 | 0 | |||||||||
−6.56230 | − | 10.2111i | −0.586950 | − | 0.913312i | |||||
0 | 0 | |||||||||
−5.88243 | + | 0.845766i | −0.521981 | + | 0.0750496i | −0.398269 | − | 0.917269i | ||
−0.123712 | + | 0.992318i | ||||||||
0 | 0 | |||||||||
0.913782 | + | 0.791797i | 0.0804540 | + | 0.0697138i | |||||
0 | 0 | |||||||||
1.89584 | − | 2.94999i | 0.165641 | − | 0.257742i | −0.748504 | − | 0.663130i | ||
0.914144 | + | 0.405389i | ||||||||
0 | 0 | |||||||||
5.29702 | + | 6.11309i | 0.459310 | + | 0.530072i | |||||
0 | 0 | |||||||||
−0.510393 | − | 1.11761i | −0.0439277 | − | 0.0961882i | |||||
0 | 0 | |||||||||
14.5442i | 1.24260i | 0.783573 | + | 0.621299i | ||||||
−0.783573 | + | 0.621299i | ||||||||
0 | 0 | |||||||||
4.46279i | 0.378529i | 0.981926 | + | 0.189265i | ||||||
−0.981926 | + | 0.189265i | ||||||||
0 | 0 | |||||||||
0.185655 | + | 0.406528i | 0.0156350 | + | 0.0342358i | |||||
0 | 0 | |||||||||
−5.34593 | − | 6.16953i | −0.447049 | − | 0.515922i | |||||
0 | 0 | |||||||||
−1.48475 | + | 2.31032i | −0.123302 | + | 0.191861i | |||||
0 | 0 | |||||||||
0.423643 | + | 0.367089i | 0.0349415 | + | 0.0302770i | |||||
0 | 0 | |||||||||
−5.20979 | + | 0.749055i | −0.426803 | + | 0.0613650i | −0.352369 | − | 0.935861i | ||
−0.0744334 | + | 0.997226i | ||||||||
0 | 0 | |||||||||
−8.90169 | − | 13.8513i | −0.724409 | − | 1.12720i | −0.986753 | − | 0.162229i | ||
0.262344 | − | 0.964974i | ||||||||
0 | 0 | |||||||||
−8.12549 | − | 3.71079i | −0.656907 | − | 0.299999i | |||||
0 | 0 | |||||||||
12.9286 | − | 3.79617i | 1.03845 | − | 0.304916i | |||||
0 | 0 | |||||||||
−2.26692 | + | 7.72043i | −0.180920 | + | 0.616158i | 0.818228 | + | 0.574894i | ||
−0.999148 | + | 0.0412639i | ||||||||
0 | 0 | |||||||||
0.0654646 | − | 0.455316i | 0.00519168 | − | 0.0361089i | |||||
0 | 0 | |||||||||
−10.0984 | + | 12.9905i | −0.795867 | + | 1.02379i | |||||
0 | 0 | |||||||||
−22.2514 | − | 3.19928i | −1.74287 | − | 0.250587i | −0.803942 | − | 0.594707i | ||
−0.938925 | + | 0.344121i | ||||||||
0 | 0 | |||||||||
−0.405797 | − | 0.119153i | −0.0315913 | − | 0.00927603i | |||||
0 | 0 | |||||||||
−5.02153 | − | 17.1018i | −0.388578 | − | 1.32337i | −0.889125 | − | 0.457665i | ||
0.500547 | − | 0.865710i | ||||||||
0 | 0 | |||||||||
1.11949 | − | 2.45135i | 0.0861148 | − | 0.188565i | |||||
0 | 0 | |||||||||
5.92274 | − | 3.80631i | 0.452923 | − | 0.291076i | |||||
0 | 0 | |||||||||
3.18949 | + | 22.1834i | 0.242493 | + | 1.68657i | 0.639527 | + | 0.768769i | ||
−0.397034 | + | 0.917804i | ||||||||
0 | 0 | |||||||||
4.37795 | − | 5.05242i | 0.330942 | − | 0.381927i | |||||
0 | 0 | |||||||||
0.538836 | + | 0.346289i | 0.0405014 | + | 0.0260287i | |||||
0 | 0 | |||||||||
−17.7381 | + | 15.3701i | −1.32581 | + | 1.14882i | −0.348423 | + | 0.937337i | ||
−0.977382 | + | 0.211480i | ||||||||
0 | 0 | |||||||||
−21.7001 | + | 9.91012i | −1.61296 | + | 0.736614i | −0.998624 | − | 0.0524324i | ||
−0.614334 | + | 0.789046i | ||||||||
0 | 0 | |||||||||
−0.226403 | −0.0167362 | |||||||||
0 | 0 | |||||||||
−14.9550 | −1.09951 | |||||||||
0 | 0 | |||||||||
−5.60695 | + | 2.56061i | −0.410021 | + | 0.187250i | |||||
0 | 0 | |||||||||
1.82370 | − | 1.58025i | 0.132655 | − | 0.114946i | |||||
0 | 0 | |||||||||
17.3800 | + | 11.1694i | 1.25757 | + | 0.808192i | 0.987950 | − | 0.154775i | ||
0.269621 | + | 0.962967i | ||||||||
0 | 0 | |||||||||
0.929480 | − | 1.07268i | 0.0669055 | − | 0.0772130i | −0.721310 | − | 0.692612i | ||
0.788216 | + | 0.615399i | ||||||||
0 | 0 | |||||||||
−0.115718 | − | 0.804837i | −0.00828674 | − | 0.0576355i | |||||
0 | 0 | |||||||||
10.5825 | − | 6.80094i | 0.753970 | − | 0.484547i | −0.106333 | − | 0.994331i | ||
0.860303 | + | 0.509784i | ||||||||
0 | 0 | |||||||||
−4.46040 | + | 9.76691i | −0.316189 | + | 0.692358i | −0.999279 | − | 0.0379768i | ||
0.683089 | + | 0.730335i | ||||||||
0 | 0 | |||||||||
−0.0929772 | − | 0.316651i | −0.00655811 | − | 0.0223349i | |||||
0 | 0 | |||||||||
−5.17535 | − | 1.51962i | −0.363238 | − | 0.106656i | |||||
0 | 0 | |||||||||
20.2651 | + | 2.91368i | 1.41538 | + | 0.203501i | |||||
0 | 0 | |||||||||
9.94080 | + | 10.3092i | 0.690934 | + | 0.716539i | |||||
0 | 0 | |||||||||
0.691390 | − | 4.80872i | 0.0478244 | − | 0.332626i | |||||
0 | 0 | |||||||||
3.22656 | − | 10.9887i | 0.222126 | − | 0.756491i | −0.770729 | − | 0.637163i | ||
0.992855 | − | 0.119328i | ||||||||
0 | 0 | |||||||||
−1.00533 | + | 0.295191i | −0.0688838 | + | 0.0202261i | |||||
0 | 0 | |||||||||
−16.3517 | − | 7.46755i | −1.11517 | − | 0.509283i | |||||
0 | 0 | |||||||||
14.3078 | + | 22.2633i | 0.971274 | + | 1.51133i | |||||
0 | 0 | |||||||||
0.907636 | − | 0.130498i | 0.0613323 | − | 0.00881826i | |||||
0 | 0 | |||||||||
−8.95617 | − | 7.76057i | −0.602457 | − | 0.522032i | |||||
0 | 0 | |||||||||
−13.6521 | + | 21.2431i | −0.914212 | + | 1.42254i | −0.00788217 | + | 0.999969i | ||
−0.906329 | + | 0.422572i | ||||||||
0 | 0 | |||||||||
−3.81051 | − | 4.39757i | −0.254034 | − | 0.293171i | |||||
0 | 0 | |||||||||
−2.36847 | − | 5.18623i | −0.157201 | − | 0.344222i | 0.814600 | − | 0.580022i | ||
−0.971802 | + | 0.235800i | ||||||||
0 | 0 | |||||||||
13.6778i | 0.903852i | 0.892055 | + | 0.451926i | ||||||
−0.892055 | + | 0.451926i | ||||||||
0 | 0 | |||||||||
− | 0.830655i | − | 0.0546531i | |||||||
0 | 0 | |||||||||
−2.23268 | − | 4.88888i | −0.146268 | − | 0.320281i | 0.822291 | − | 0.569067i | ||
−0.968558 | + | 0.248786i | ||||||||
0 | 0 | |||||||||
−4.35115 | − | 5.02150i | −0.283838 | − | 0.327567i | |||||
0 | 0 | |||||||||
−0.224367 | + | 0.349122i | −0.0145742 | + | 0.0226779i | |||||
0 | 0 | |||||||||
19.9940 | + | 17.3249i | 1.29330 | + | 1.12065i | 0.985586 | + | 0.169175i | ||
0.307716 | + | 0.951478i | ||||||||
0 | 0 | |||||||||
−20.8629 | + | 2.99963i | −1.34390 | + | 0.193223i | −0.776445 | − | 0.630185i | ||
−0.567450 | + | 0.823408i | ||||||||
0 | 0 | |||||||||
−1.70460 | − | 2.65241i | −0.109350 | − | 0.170152i | |||||
0 | 0 | |||||||||
−7.58088 | − | 3.46207i | −0.484324 | − | 0.221184i | |||||
0 | 0 | |||||||||
8.96186 | − | 2.63144i | 0.570229 | − | 0.167434i | |||||
0 | 0 | |||||||||
0.332475 | − | 1.13231i | 0.0210698 | − | 0.0717570i | |||||
0 | 0 | |||||||||
3.92078 | − | 27.2696i | 0.247478 | − | 1.72124i | −0.365215 | − | 0.930923i | ||
0.612692 | − | 0.790321i | ||||||||
0 | 0 | |||||||||
9.86834 | − | 0.525584i | 0.620417 | − | 0.0330432i | |||||
0 | 0 | |||||||||
−0.607707 | − | 0.0873751i | −0.0380561 | − | 0.00547164i | |||||
0 | 0 | |||||||||
6.46197 | + | 1.89741i | 0.403087 | + | 0.118357i | 0.476991 | − | 0.878908i | ||
−0.0739038 | + | 0.997265i | ||||||||
0 | 0 | |||||||||
−8.27516 | − | 28.1826i | −0.514194 | − | 1.75118i | |||||
0 | 0 | |||||||||
−1.95026 | + | 4.27048i | −0.120718 | + | 0.264336i | |||||
0 | 0 | |||||||||
1.97785 | − | 1.27109i | 0.121960 | − | 0.0783787i | −0.478239 | − | 0.878230i | ||
0.600198 | + | 0.799851i | ||||||||
0 | 0 | |||||||||
0.973280 | + | 6.76931i | 0.0597881 | + | 0.415835i | |||||
0 | 0 | |||||||||
0.629731 | − | 0.726749i | 0.0385389 | − | 0.0444763i | |||||
0 | 0 | |||||||||
−7.41974 | − | 4.76838i | −0.452390 | − | 0.290733i | 0.294536 | − | 0.955640i | ||
−0.746926 | + | 0.664907i | ||||||||
0 | 0 | |||||||||
−6.14891 | + | 5.32806i | −0.373520 | + | 0.323657i | −0.821310 | − | 0.570482i | ||
0.447790 | + | 0.894139i | ||||||||
0 | 0 | |||||||||
1.45268 | − | 0.663417i | 0.0879202 | − | 0.0401518i | |||||
0 | 0 | |||||||||
−4.01524 | −0.242128 | |||||||||
0 | 0 | |||||||||
0.0850459 | 0.00510991 | 0.00255496 | − | 0.999997i | ||||||
0.00255496 | + | 0.999997i | ||||||||
0 | 0 | |||||||||
20.9528 | − | 9.56881i | 1.25441 | − | 0.572870i | |||||
0 | 0 | |||||||||
13.7750 | − | 11.9361i | 0.821748 | − | 0.712049i | −0.138752 | − | 0.990327i | ||
0.960501 | + | 0.278278i | ||||||||
0 | 0 | |||||||||
−16.5423 | − | 10.6311i | −0.983341 | − | 0.631955i | −0.0529781 | − | 0.998596i | ||
−0.930362 | + | 0.366641i | ||||||||
0 | 0 | |||||||||
0.316882 | − | 0.365702i | 0.0187705 | − | 0.0216623i | |||||
0 | 0 | |||||||||
5.72264 | + | 39.8018i | 0.337797 | + | 2.34943i | |||||
0 | 0 | |||||||||
6.77368 | − | 4.35318i | 0.398452 | − | 0.256070i | |||||
0 | 0 | |||||||||
−0.00881286 | + | 0.0192975i | −0.000516619 | + | 0.00113124i | |||||
0 | 0 | |||||||||
−2.95593 | − | 10.0670i | −0.172687 | − | 0.588118i | −0.999665 | − | 0.0258837i | ||
0.826978 | − | 0.562234i | ||||||||
0 | 0 | |||||||||
−9.13699 | − | 2.68286i | −0.531976 | − | 0.156202i | |||||
0 | 0 | |||||||||
−1.43458 | − | 0.206261i | −0.0832425 | − | 0.0119685i | |||||
0 | 0 | |||||||||
8.80068 | + | 16.8384i | 0.508956 | + | 0.973787i | |||||
0 | 0 | |||||||||
5.02458 | − | 34.9467i | 0.289612 | − | 2.01430i | |||||
0 | 0 | |||||||||
0.00387794 | − | 0.0132071i | 0.000222782 | − | 0.000758726i | |||||
0 | 0 | |||||||||
3.22965 | − | 0.948310i | 0.184929 | − | 0.0543001i | |||||
0 | 0 | |||||||||
3.16545 | + | 1.44561i | 0.180662 | + | 0.0825056i | 0.503693 | − | 0.863883i | ||
−0.323031 | + | 0.946389i | ||||||||
0 | 0 | |||||||||
0.942051 | + | 1.46586i | 0.0535914 | + | 0.0833899i | |||||
0 | 0 | |||||||||
23.9759 | − | 3.44721i | 1.35955 | − | 0.195473i | 0.576328 | − | 0.817219i | ||
0.783219 | + | 0.621745i | ||||||||
0 | 0 | |||||||||
0.954438 | + | 0.827025i | 0.0539480 | + | 0.0467462i | 0.681417 | − | 0.731895i | ||
−0.627469 | + | 0.778641i | ||||||||
0 | 0 | |||||||||
−9.67573 | + | 15.0557i | −0.545166 | + | 0.848294i | |||||
0 | 0 | |||||||||
15.7072 | + | 18.1271i | 0.882205 | + | 1.01812i | 0.999686 | + | 0.0250439i | ||
−0.117481 | + | 0.993075i | ||||||||
0 | 0 | |||||||||
1.34577 | + | 2.94682i | 0.0753486 | + | 0.164990i | |||||
0 | 0 | |||||||||
1.95222i | 0.108962i | |||||||||
0 | 0 | |||||||||
− | 7.05250i | − | 0.392411i | |||||||
0 | 0 | |||||||||
−3.20684 | − | 7.02200i | −0.177884 | − | 0.389511i | |||||
0 | 0 | |||||||||
0.897789 | + | 1.03610i | 0.0496478 | + | 0.0572966i | |||||
0 | 0 | |||||||||
7.05534 | − | 10.9783i | 0.388974 | − | 0.605255i | |||||
0 | 0 | |||||||||
23.1969 | + | 20.1002i | 1.27501 | + | 1.10481i | 0.989208 | + | 0.146520i | ||
0.285807 | + | 0.958287i | ||||||||
0 | 0 | |||||||||
−25.3052 | + | 3.63833i | −1.38671 | + | 0.199380i | |||||
0 | 0 | |||||||||
2.65265 | + | 4.12760i | 0.144930 | + | 0.225515i | |||||
0 | 0 | |||||||||
2.98910 | + | 1.36508i | 0.162827 | + | 0.0743605i | 0.495161 | − | 0.868801i | ||
−0.332334 | + | 0.943162i | ||||||||
0 | 0 | |||||||||
−0.281438 | + | 0.0826378i | −0.0152856 | + | 0.00448827i | |||||
0 | 0 | |||||||||
4.47806 | − | 15.2509i | 0.242501 | − | 0.825881i | |||||
0 | 0 | |||||||||
−1.08838 | + | 7.56986i | −0.0587671 | + | 0.408734i | |||||
0 | 0 | |||||||||
0.855192 | + | 0.487370i | 0.0460420 | + | 0.0262391i | |||||
0 | 0 | |||||||||
−16.8716 | − | 2.42577i | −0.905713 | − | 0.130222i | −0.326310 | − | 0.945263i | ||
−0.579403 | + | 0.815041i | ||||||||
0 | 0 | |||||||||
−13.3777 | − | 3.92804i | −0.716090 | − | 0.210263i | −0.0966630 | − | 0.995317i | ||
−0.619427 | + | 0.785054i | ||||||||
0 | 0 | |||||||||
−0.785032 | − | 2.67357i | −0.0419019 | − | 0.142705i | |||||
0 | 0 | |||||||||
12.7876 | − | 28.0010i | 0.680616 | − | 1.49034i | −0.181373 | − | 0.983414i | ||
0.861989 | − | 0.506927i | ||||||||
0 | 0 | |||||||||
13.1046 | − | 8.42181i | 0.695520 | − | 0.446983i | |||||
0 | 0 | |||||||||
−0.171609 | − | 1.19357i | −0.00908254 | − | 0.0631704i | |||||
0 | 0 | |||||||||
13.3442 | − | 15.4001i | 0.704282 | − | 0.812784i | −0.285043 | − | 0.958515i | ||
0.989324 | + | 0.145731i | ||||||||
0 | 0 | |||||||||
−11.3077 | − | 7.26704i | −0.595144 | − | 0.382476i | |||||
0 | 0 | |||||||||
0.599726 | − | 0.519665i | 0.0314774 | − | 0.0272753i | |||||
0 | 0 | |||||||||
−12.4009 | + | 5.66328i | −0.649091 | + | 0.296430i | |||||
0 | 0 | |||||||||
12.9167 | 0.674247 | 0.337124 | − | 0.941460i | ||||||
0.337124 | + | 0.941460i | ||||||||
0 | 0 | |||||||||
34.9993 | 1.82199 | |||||||||
0 | 0 | |||||||||
−12.2182 | + | 5.57986i | −0.634337 | + | 0.289692i | |||||
0 | 0 | |||||||||
16.0991 | − | 13.9499i | 0.833579 | − | 0.722300i | −0.129483 | − | 0.991582i | ||
0.963062 | + | 0.269281i | ||||||||
0 | 0 | |||||||||
−1.19976 | − | 0.771039i | −0.0619553 | − | 0.0398163i | |||||
0 | 0 | |||||||||
−4.07869 | + | 4.70706i | −0.210063 | + | 0.242426i | |||||
0 | 0 | |||||||||
3.11878 | + | 21.6916i | 0.160201 | + | 1.11422i | 0.898253 | + | 0.439479i | ||
−0.738051 | + | 0.674744i | ||||||||
0 | 0 | |||||||||
−0.587418 | + | 0.377511i | −0.0300943 | + | 0.0193405i | |||||
0 | 0 | |||||||||
4.48093 | − | 9.81186i | 0.228965 | − | 0.501363i | −0.759926 | − | 0.650010i | ||
0.988890 | + | 0.148647i | ||||||||
0 | 0 | |||||||||
3.47928 | + | 11.8493i | 0.177320 | + | 0.603898i | |||||
0 | 0 | |||||||||
−29.4852 | − | 8.65764i | −1.49882 | − | 0.440093i | |||||
0 | 0 | |||||||||
26.1130 | + | 3.75449i | 1.32398 | + | 0.190360i | 0.767795 | − | 0.640696i | ||
0.556189 | + | 0.831056i | ||||||||
0 | 0 | |||||||||
14.0713 | − | 2.79397i | 0.711614 | − | 0.141297i | |||||
0 | 0 | |||||||||
0.0586359 | − | 0.407822i | 0.00295779 | − | 0.0205719i | |||||
0 | 0 | |||||||||
1.73827 | − | 5.92002i | 0.0874620 | − | 0.297868i | |||||
0 | 0 | |||||||||
33.1789 | − | 9.74221i | 1.66520 | − | 0.488947i | 0.692580 | − | 0.721341i | ||
0.972622 | + | 0.232394i | ||||||||
0 | 0 | |||||||||
0.864507 | + | 0.394807i | 0.0432795 | + | 0.0197651i | |||||
0 | 0 | |||||||||
−7.97618 | − | 12.4112i | −0.398311 | − | 0.619784i | 0.582941 | − | 0.812515i | ||
−0.981252 | + | 0.192731i | ||||||||
0 | 0 | |||||||||
30.2478 | − | 4.34897i | 1.50675 | − | 0.216638i | |||||
0 | 0 | |||||||||
11.7177 | + | 10.1535i | 0.582260 | + | 0.504531i | |||||
0 | 0 | |||||||||
−9.53759 | + | 14.8408i | −0.472761 | + | 0.735630i | |||||
0 | 0 | |||||||||
−22.8572 | − | 26.3786i | −1.13022 | − | 1.30434i | −0.946988 | − | 0.321268i | ||
−0.183228 | − | 0.983071i | ||||||||
0 | 0 | |||||||||
0.709894 | + | 1.55445i | 0.0350165 | + | 0.0766754i | |||||
0 | 0 | |||||||||
− | 18.7032i | − | 0.920322i | |||||||
0 | 0 | |||||||||
17.5450i | 0.861250i | |||||||||
0 | 0 | |||||||||
0.217826 | + | 0.476972i | 0.0106670 | + | 0.0233574i | |||||
0 | 0 | |||||||||
−25.0836 | − | 28.9481i | −1.22542 | − | 1.41421i | −0.879472 | − | 0.475950i | ||
−0.345944 | − | 0.938255i | ||||||||
0 | 0 | |||||||||
−6.85029 | + | 10.6593i | −0.333863 | + | 0.519501i | −0.967080 | − | 0.254474i | ||
0.633217 | + | 0.773974i | ||||||||
0 | 0 | |||||||||
−8.58420 | − | 7.43826i | −0.417378 | − | 0.361660i | |||||
0 | 0 | |||||||||
−5.76951 | + | 0.829530i | −0.279862 | + | 0.0402381i | |||||
0 | 0 | |||||||||
3.57417 | + | 5.56152i | 0.172966 | + | 0.269141i | |||||
0 | 0 | |||||||||
−0.872490 | − | 0.398453i | −0.0421242 | − | 0.0192375i | |||||
0 | 0 | |||||||||
19.3748 | − | 5.68896i | 0.933252 | − | 0.274028i | 0.220455 | − | 0.975397i | ||
0.712798 | + | 0.701370i | ||||||||
0 | 0 | |||||||||
−5.17013 | + | 17.6078i | −0.248460 | + | 0.846178i | 0.736945 | + | 0.675953i | ||
−0.985405 | + | 0.170225i | ||||||||
0 | 0 | |||||||||
−0.0459214 | + | 0.319390i | −0.00220176 | + | 0.0153136i | |||||
0 | 0 | |||||||||
−4.14338 | + | 10.5203i | −0.198205 | + | 0.503255i | |||||
0 | 0 | |||||||||
−17.7035 | − | 2.54538i | −0.844941 | − | 0.121484i | −0.293769 | − | 0.955876i | ||
−0.551171 | + | 0.834392i | ||||||||
0 | 0 | |||||||||
−13.6698 | − | 4.01381i | −0.650943 | − | 0.191134i | |||||
0 | 0 | |||||||||
3.42704 | + | 11.6714i | 0.162824 | + | 0.554527i | 0.999971 | + | 0.00754993i | ||
−0.837148 | + | 0.546977i | ||||||||
0 | 0 | |||||||||
−5.93909 | + | 13.0048i | −0.281540 | + | 0.616486i | |||||
0 | 0 | |||||||||
−0.520248 | + | 0.334343i | −0.0246069 | + | 0.0158139i | |||||
0 | 0 | |||||||||
3.57335 | + | 24.8532i | 0.168637 | + | 1.17290i | 0.881705 | + | 0.471801i | ||
−0.713068 | + | 0.701095i | ||||||||
0 | 0 | |||||||||
15.8156 | − | 18.2521i | 0.744726 | − | 0.859460i | |||||
0 | 0 | |||||||||
−1.62746 | − | 1.04591i | −0.0764648 | − | 0.0491410i | |||||
0 | 0 | |||||||||
−17.9438 | + | 15.5484i | −0.841217 | + | 0.728919i | |||||
0 | 0 | |||||||||
12.6576 | − | 5.78055i | 0.592100 | − | 0.270403i | −0.0967481 | − | 0.995309i | ||
0.688848 | + | 0.724906i | ||||||||
0 | 0 | |||||||||
−2.10396 | −0.0982043 | |||||||||
0 | 0 | |||||||||
−36.7453 | −1.71140 | −0.855701 | − | 0.517471i | ||||||
−0.855701 | + | 0.517471i | ||||||||
0 | 0 | |||||||||
−10.6743 | + | 4.87477i | −0.496075 | + | 0.226550i | −0.647710 | − | 0.761887i | ||
0.151635 | + | 0.988436i | ||||||||
0 | 0 | |||||||||
1.19649 | − | 1.03676i | 0.0554857 | − | 0.0480786i | |||||
0 | 0 | |||||||||
10.2099 | + | 6.56148i | 0.472456 | + | 0.303629i | 0.755116 | − | 0.655591i | ||
−0.282660 | + | 0.959220i | ||||||||
0 | 0 | |||||||||
−6.31064 | + | 7.28287i | −0.291398 | + | 0.336292i | |||||
0 | 0 | |||||||||
0.134546 | + | 0.935787i | 0.00619955 | + | 0.0431188i | |||||
0 | 0 | |||||||||
−17.8388 | + | 11.4643i | −0.820231 | + | 0.527130i | |||||
0 | 0 | |||||||||
1.90843 | − | 4.17888i | 0.0875647 | − | 0.191740i | |||||
0 | 0 | |||||||||
3.29375 | + | 11.2175i | 0.150811 | + | 0.513614i | |||||
0 | 0 | |||||||||
15.0197 | + | 4.41019i | 0.686269 | + | 0.201507i | 0.606235 | − | 0.795285i | ||
0.0800338 | + | 0.996792i | ||||||||
0 | 0 | |||||||||
−33.5715 | − | 4.82685i | −1.53073 | − | 0.220085i | |||||
0 | 0 | |||||||||
−0.445237 | + | 1.88129i | −0.0202590 | + | 0.0856016i | |||||
0 | 0 | |||||||||
0.0448866 | − | 0.312193i | 0.00203819 | − | 0.0141759i | |||||
0 | 0 | |||||||||
0.234925 | − | 0.800081i | 0.0106455 | − | 0.0362551i | −0.953999 | − | 0.299810i | ||
0.964644 | + | 0.263555i | ||||||||
0 | 0 | |||||||||
−2.53433 | + | 0.744147i | −0.114606 | + | 0.0336515i | |||||
0 | 0 | |||||||||
−25.1086 | − | 11.4667i | −1.13314 | − | 0.517486i | −0.241573 | − | 0.970383i | ||
−0.891563 | + | 0.452897i | ||||||||
0 | 0 | |||||||||
2.54254 | + | 3.95626i | 0.114510 | + | 0.178181i | |||||
0 | 0 | |||||||||
10.6395 | − | 1.52973i | 0.478211 | − | 0.0687563i | |||||
0 | 0 | |||||||||
23.1221 | + | 20.0355i | 1.03717 | + | 0.898713i | |||||
0 | 0 | |||||||||
−20.0953 | + | 31.2689i | −0.899588 | + | 1.39979i | 0.0169575 | + | 0.999856i | ||
−0.916546 | + | 0.399930i | ||||||||
0 | 0 | |||||||||
−1.37141 | − | 1.58270i | −0.0612703 | − | 0.0707096i | |||||
0 | 0 | |||||||||
3.39112 | + | 7.42551i | 0.151202 | + | 0.331087i | 0.970043 | − | 0.242934i | ||
−0.818840 | + | 0.574021i | ||||||||
0 | 0 | |||||||||
0.204642i | 0.00910647i | |||||||||
0 | 0 | |||||||||
− | 0.316635i | − | 0.0140623i | |||||||
0 | 0 | |||||||||
7.92945 | + | 17.3631i | 0.351467 | + | 0.769604i | 0.999965 | + | 0.00838826i | ||
−0.648498 | + | 0.761216i | ||||||||
0 | 0 | |||||||||
−17.5343 | − | 20.2357i | −0.775672 | − | 0.895173i | |||||
0 | 0 | |||||||||
0.896515 | − | 1.39500i | 0.0395821 | − | 0.0615909i | |||||
0 | 0 | |||||||||
−19.5783 | − | 16.9647i | −0.862723 | − | 0.747553i | |||||
0 | 0 | |||||||||
−7.75811 | + | 1.11545i | −0.341201 | + | 0.0490574i | |||||
0 | 0 | |||||||||
1.42364 | + | 2.21523i | 0.0624909 | + | 0.0972377i | |||||
0 | 0 | |||||||||
13.5591 | + | 6.19221i | 0.594033 | + | 0.271286i | 0.689662 | − | 0.724131i | ||
−0.0956292 | + | 0.995417i | ||||||||
0 | 0 | |||||||||
27.5519 | − | 8.08998i | 1.20476 | − | 0.353750i | 0.383090 | − | 0.923711i | ||
0.821672 | + | 0.569961i | ||||||||
0 | 0 | |||||||||
0.221299 | − | 0.753674i | 0.00965827 | − | 0.0328930i | |||||
0 | 0 | |||||||||
3.28377 | − | 22.8392i | 0.143043 | − | 0.994889i | |||||
0 | 0 | |||||||||
−22.6318 | − | 4.09914i | −0.983990 | − | 0.178223i | |||||
0 | 0 | |||||||||
−16.1133 | − | 2.31674i | −0.699258 | − | 0.100538i | |||||
0 | 0 | |||||||||
44.5514 | + | 13.0815i | 1.92974 | + | 0.566622i | |||||
0 | 0 | |||||||||
−8.17705 | − | 27.8485i | −0.353525 | − | 1.20399i | |||||
0 | 0 | |||||||||
−1.14559 | + | 2.50850i | −0.0494361 | + | 0.108250i | |||||
0 | 0 | |||||||||
−8.27036 | + | 5.31504i | −0.356229 | + | 0.228935i | |||||
0 | 0 | |||||||||
−2.99096 | − | 20.8026i | −0.128592 | − | 0.894374i | −0.947342 | − | 0.320224i | ||
0.818750 | − | 0.574150i | ||||||||
0 | 0 | |||||||||
−1.83555 | + | 2.11834i | −0.0787710 | + | 0.0909065i | |||||
0 | 0 | |||||||||
−17.1468 | − | 11.0196i | −0.734489 | − | 0.472027i | |||||
0 | 0 | |||||||||
19.7118 | − | 17.0804i | 0.842818 | − | 0.730306i | −0.122196 | − | 0.992506i | ||
0.965013 | + | 0.262200i | ||||||||
0 | 0 | |||||||||
5.23414 | − | 2.39035i | 0.223388 | − | 0.102018i | |||||
0 | 0 | |||||||||
−3.70655 | −0.157904 | |||||||||
0 | 0 | |||||||||
12.1181 | 0.515314 | |||||||||
0 | 0 | |||||||||
−1.59835 | + | 0.729942i | −0.0678462 | + | 0.0309843i | |||||
0 | 0 | |||||||||
−7.58689 | + | 6.57408i | −0.321467 | + | 0.278553i | −0.800612 | − | 0.599183i | ||
0.479145 | + | 0.877736i | ||||||||
0 | 0 | |||||||||
−34.2965 | − | 22.0410i | −1.45059 | − | 0.932237i | |||||
0 | 0 | |||||||||
−0.474275 | + | 0.547342i | −0.0200239 | + | 0.0231088i | |||||
0 | 0 | |||||||||
3.73863 | + | 26.0027i | 0.157564 | + | 1.09588i | 0.903104 | + | 0.429423i | ||
−0.745539 | + | 0.666462i | ||||||||
0 | 0 | |||||||||
3.66860 | − | 2.35766i | 0.154339 | − | 0.0991876i | |||||
0 | 0 | |||||||||
−12.6503 | + | 27.7004i | −0.531264 | + | 1.16331i | |||||
0 | 0 | |||||||||
12.9112 | + | 43.9715i | 0.541266 | + | 1.84338i | 0.537303 | + | 0.843389i | ||
0.00396223 | + | 0.999992i | ||||||||
0 | 0 | |||||||||
11.4841 | + | 3.37204i | 0.480595 | + | 0.141115i | 0.513052 | − | 0.858358i | ||
−0.0324565 | + | 0.999473i | ||||||||
0 | 0 | |||||||||
2.40270 | + | 0.345456i | 0.100374 | + | 0.0144316i | |||||
0 | 0 | |||||||||
9.09381 | + | 2.15219i | 0.379238 | + | 0.0897527i | |||||
0 | 0 | |||||||||
−3.29784 | + | 22.9369i | −0.137291 | + | 0.954878i | 0.798418 | + | 0.602104i | ||
−0.935709 | + | 0.352774i | ||||||||
0 | 0 | |||||||||
0.0469838 | − | 0.160012i | 0.00195258 | − | 0.00664988i | |||||
0 | 0 | |||||||||
−33.0635 | + | 9.70832i | −1.37171 | + | 0.402769i | |||||
0 | 0 | |||||||||
7.33833 | + | 3.35130i | 0.303922 | + | 0.138797i | |||||
0 | 0 | |||||||||
11.1727 | + | 17.3850i | 0.461934 | + | 0.718783i | |||||
0 | 0 | |||||||||
−11.2753 | + | 1.62114i | −0.465381 | + | 0.0669117i | −0.371017 | − | 0.928626i | ||
−0.0943641 | + | 0.995538i | ||||||||
0 | 0 | |||||||||
13.7440 | + | 11.9092i | 0.566311 | + | 0.490712i | |||||
0 | 0 | |||||||||
0.799078 | − | 1.24339i | 0.0328697 | − | 0.0511462i | |||||
0 | 0 | |||||||||
−3.92550 | − | 4.53027i | −0.161201 | − | 0.186036i | 0.669403 | − | 0.742900i | ||
−0.830604 | + | 0.556864i | ||||||||
0 | 0 | |||||||||
7.44740 | + | 16.3075i | 0.305314 | + | 0.668543i | |||||
0 | 0 | |||||||||
1.26157i | 0.0516327i | |||||||||
0 | 0 | |||||||||
− | 8.44243i | − | 0.344948i | −0.985014 | − | 0.172474i | ||||
0.985014 | − | 0.172474i | ||||||||
0 | 0 | |||||||||
−7.27392 | − | 15.9277i | −0.296709 | − | 0.649703i | 0.701293 | − | 0.712873i | ||
−0.998003 | + | 0.0631699i | ||||||||
0 | 0 | |||||||||
5.49271 | + | 6.33892i | 0.223680 | + | 0.258141i | |||||
0 | 0 | |||||||||
−6.37844 | + | 9.92505i | −0.259321 | + | 0.403511i | |||||
0 | 0 | |||||||||
−5.93429 | − | 5.14209i | −0.240865 | − | 0.208711i | 0.526060 | − | 0.850448i | ||
−0.766925 | + | 0.641737i | ||||||||
0 | 0 | |||||||||
−0.627300 | + | 0.0901921i | −0.0254195 | + | 0.00365477i | |||||
0 | 0 | |||||||||
−8.14689 | − | 12.6768i | −0.329588 | − | 0.512849i | |||||
0 | 0 | |||||||||
−41.3412 | − | 18.8799i | −1.66975 | − | 0.762551i | −0.999797 | − | 0.0201509i | ||
−0.669957 | − | 0.742400i | ||||||||
0 | 0 | |||||||||
2.30810 | − | 0.677719i | 0.0930715 | − | 0.0273283i | |||||
0 | 0 | |||||||||
8.52953 | − | 29.0489i | 0.343386 | − | 1.16947i | −0.589040 | − | 0.808104i | ||
0.932426 | − | 0.361362i | ||||||||
0 | 0 | |||||||||
−1.27237 | + | 8.84949i | −0.0511407 | + | 0.355691i | 0.948143 | + | 0.317844i | ||
−0.999284 | + | 0.0378468i | ||||||||
0 | 0 | |||||||||
3.13850 | + | 1.23609i | 0.125944 | + | 0.0496024i | |||||
0 | 0 | |||||||||
−27.7938 | − | 3.99615i | −1.11354 | − | 0.160102i | |||||
0 | 0 | |||||||||
10.9960 | + | 3.22872i | 0.439840 | + | 0.129149i | |||||
0 | 0 | |||||||||
−0.160816 | − | 0.547690i | −0.00642238 | − | 0.0218726i | |||||
0 | 0 | |||||||||
−10.6385 | + | 23.2952i | −0.424186 | + | 0.928839i | |||||
0 | 0 | |||||||||
−13.2886 | + | 8.54007i | −0.529011 | + | 0.339975i | −0.777728 | − | 0.628601i | ||
0.248716 | + | 0.968576i | ||||||||
0 | 0 | |||||||||
−0.191502 | − | 1.33193i | −0.00761152 | − | 0.0529393i | |||||
0 | 0 | |||||||||
6.79830 | − | 7.84566i | 0.269782 | − | 0.311346i | |||||
0 | 0 | |||||||||
−15.9004 | − | 10.2186i | −0.629996 | − | 0.404874i | |||||
0 | 0 | |||||||||
20.1252 | − | 17.4386i | 0.796142 | − | 0.689861i | |||||
0 | 0 | |||||||||
12.0461 | − | 5.50126i | 0.475791 | − | 0.217287i | −0.163061 | − | 0.986616i | ||
0.638852 | + | 0.769329i | ||||||||
0 | 0 | |||||||||
34.1878 | 1.34824 | 0.674119 | − | 0.738623i | ||||||
0.674119 | + | 0.738623i | ||||||||
0 | 0 | |||||||||
−2.11211 | −0.0831642 | |||||||||
0 | 0 | |||||||||
−18.0980 | + | 8.26507i | −0.711505 | + | 0.324933i | −0.738080 | − | 0.674713i | ||
0.0265749 | + | 0.999647i | ||||||||
0 | 0 | |||||||||
−8.48951 | + | 7.35621i | −0.333243 | + | 0.288756i | |||||
0 | 0 | |||||||||
2.61583 | + | 1.68109i | 0.102523 | + | 0.0658872i | |||||
0 | 0 | |||||||||
−23.0306 | + | 26.5787i | −0.901257 | + | 1.04011i | 0.0977351 | + | 0.995212i | ||
−0.998992 | + | 0.0448932i | ||||||||
0 | 0 | |||||||||
0.871756 | + | 6.06320i | 0.0340623 | + | 0.236909i | |||||
0 | 0 | |||||||||
−19.6056 | + | 12.5997i | −0.764886 | + | 0.491562i | |||||
0 | 0 | |||||||||
−14.8013 | + | 32.4104i | −0.576578 | + | 1.26253i | 0.366642 | + | 0.930362i | ||
−0.943220 | + | 0.332168i | ||||||||
0 | 0 | |||||||||
−2.85669 | − | 9.72901i | −0.111113 | − | 0.378415i | 0.885096 | − | 0.465408i | ||
−0.996209 | + | 0.0869932i | ||||||||
0 | 0 | |||||||||
−1.33600 | − | 0.392285i | −0.0518860 | − | 0.0152351i | |||||
0 | 0 | |||||||||
−13.9859 | − | 2.01087i | −0.542351 | − | 0.0779783i | |||||
0 | 0 | |||||||||
−1.46841 | − | 7.39537i | −0.0568572 | − | 0.286350i | |||||
0 | 0 | |||||||||
−0.422241 | + | 2.93675i | −0.0163248 | + | 0.113541i | |||||
0 | 0 | |||||||||
1.11865 | − | 3.80977i | 0.0431850 | − | 0.147075i | |||||
0 | 0 | |||||||||
32.3571 | − | 9.50091i | 1.24728 | − | 0.366233i | 0.409531 | − | 0.912296i | ||
0.837744 | + | 0.546063i | ||||||||
0 | 0 | |||||||||
−1.24667 | − | 0.569337i | −0.0479845 | − | 0.0219138i | |||||
0 | 0 | |||||||||
−10.6410 | − | 16.5578i | −0.408969 | − | 0.636368i | 0.574275 | − | 0.818662i | ||
−0.983244 | + | 0.182295i | ||||||||
0 | 0 | |||||||||
0.613164 | − | 0.0881596i | 0.0235311 | − | 0.00338326i | |||||
0 | 0 | |||||||||
−0.506273 | − | 0.438688i | −0.0194004 | − | 0.0168106i | |||||
0 | 0 | |||||||||
15.7767 | − | 24.5490i | 0.603678 | − | 0.939342i | −0.396099 | − | 0.918208i | ||
0.999777 | − | 0.0211335i | ||||||||
0 | 0 | |||||||||
−16.6376 | − | 19.2009i | −0.635692 | − | 0.733627i | |||||
0 | 0 | |||||||||
0.667602 | + | 1.46184i | 0.0254706 | + | 0.0557728i | |||||
0 | 0 | |||||||||
15.5101i | 0.590888i | |||||||||
0 | 0 | |||||||||
− | 3.82254i | − | 0.145416i | −0.997353 | − | 0.0727082i | ||||
0.997353 | − | 0.0727082i | ||||||||
0 | 0 | |||||||||
8.77002 | + | 19.2037i | 0.333146 | + | 0.729487i | |||||
0 | 0 | |||||||||
−5.10514 | − | 5.89164i | −0.193649 | − | 0.223483i | |||||
0 | 0 | |||||||||
18.9546 | − | 29.4940i | 0.717958 | − | 1.11716i | |||||
0 | 0 | |||||||||
−0.477245 | − | 0.413536i | −0.0180511 | − | 0.0156414i | |||||
0 | 0 | |||||||||
41.0831 | − | 5.90686i | 1.55169 | − | 0.223099i | 0.687469 | − | 0.726214i | ||
0.864220 | + | 0.503115i | ||||||||
0 | 0 | |||||||||
−10.9124 | − | 16.9800i | −0.411569 | − | 0.640414i | |||||
0 | 0 | |||||||||
−0.710136 | − | 0.324308i | −0.0267453 | − | 0.0122142i | |||||
0 | 0 | |||||||||
−0.385648 | + | 0.113236i | −0.0145038 | + | 0.00425870i | |||||
0 | 0 | |||||||||
8.92143 | − | 30.3836i | 0.335051 | − | 1.14108i | −0.603909 | − | 0.797054i | ||
0.938960 | − | 0.344027i | ||||||||
0 | 0 | |||||||||
1.50106 | − | 10.4401i | 0.0562941 | − | 0.391534i | |||||
0 | 0 | |||||||||
−18.3166 | + | 32.1403i | −0.685961 | + | 1.20366i | |||||
0 | 0 | |||||||||
14.1151 | + | 2.02944i | 0.527873 | + | 0.0758967i | |||||
0 | 0 | |||||||||
2.98252 | + | 0.875747i | 0.111384 | + | 0.0327054i | |||||
0 | 0 | |||||||||
5.56102 | + | 18.9391i | 0.207391 | + | 0.706309i | 0.995833 | + | 0.0911993i | ||
−0.788442 | + | 0.615110i | ||||||||
0 | 0 | |||||||||
21.1365 | − | 46.2824i | 0.787164 | − | 1.72365i | |||||
0 | 0 | |||||||||
−2.08336 | + | 1.33889i | −0.0774810 | + | 0.0497940i | |||||
0 | 0 | |||||||||
0.435973 | + | 3.03226i | 0.0161916 | + | 0.112615i | |||||
0 | 0 | |||||||||
7.98857 | − | 9.21930i | 0.296280 | − | 0.341925i | −0.588019 | − | 0.808847i | ||
0.884298 | + | 0.466922i | ||||||||
0 | 0 | |||||||||
22.0891 | + | 14.1958i | 0.818115 | + | 0.525771i | |||||
0 | 0 | |||||||||
−23.2642 | + | 20.1585i | −0.860457 | + | 0.745590i | |||||
0 | 0 | |||||||||
−0.521302 | + | 0.238070i | −0.0192547 | + | 0.00879333i | −0.425019 | − | 0.905184i | ||
0.405764 | + | 0.913978i | ||||||||
0 | 0 | |||||||||
−0.979206 | −0.0361185 | |||||||||
0 | 0 | |||||||||
5.78782 | 0.213197 | |||||||||
0 | 0 | |||||||||
28.6453 | − | 13.0819i | 1.05373 | − | 0.481224i | 0.188229 | − | 0.982125i | ||
0.865505 | + | 0.500901i | ||||||||
0 | 0 | |||||||||
0.829382 | − | 0.718663i | 0.0304681 | − | 0.0264008i | |||||
0 | 0 | |||||||||
20.6339 | + | 13.2606i | 0.756983 | + | 0.486483i | 0.861323 | − | 0.508058i | ||
−0.104340 | + | 0.994542i | ||||||||
0 | 0 | |||||||||
6.02094 | − | 6.94853i | 0.220590 | − | 0.254575i | |||||
0 | 0 | |||||||||
4.26845 | + | 29.6877i | 0.156174 | + | 1.08622i | |||||
0 | 0 | |||||||||
47.9557 | − | 30.8193i | 1.75226 | − | 1.12611i | |||||
0 | 0 | |||||||||
−2.51237 | + | 5.50132i | −0.0916777 | + | 0.200746i | −0.949916 | − | 0.312505i | ||
0.858238 | + | 0.513251i | ||||||||
0 | 0 | |||||||||
−0.911969 | − | 3.10588i | −0.0332340 | − | 0.113185i | |||||
0 | 0 | |||||||||
27.5967 | + | 8.10312i | 1.00435 | + | 0.294903i | |||||
0 | 0 | |||||||||
29.1174 | + | 4.18645i | 1.05829 | + | 0.152159i | 0.649418 | − | 0.760432i | ||
0.408873 | + | 0.912591i | ||||||||
0 | 0 | |||||||||
1.02905 | − | 0.537840i | 0.0373521 | − | 0.0195223i | |||||
0 | 0 | |||||||||
1.70128 | − | 11.8326i | 0.0616712 | − | 0.428933i | −0.935472 | − | 0.353401i | ||
0.997143 | − | 0.0755323i | ||||||||
0 | 0 | |||||||||
11.2784 | − | 38.4107i | 0.408305 | − | 1.39056i | |||||
0 | 0 | |||||||||
14.9719 | − | 4.39615i | 0.541310 | − | 0.158943i | |||||
0 | 0 | |||||||||
−19.6451 | − | 8.97162i | −0.709344 | − | 0.323946i | |||||
0 | 0 | |||||||||
−21.4693 | − | 33.4068i | −0.774201 | − | 1.20468i | −0.974377 | − | 0.224921i | ||
0.200176 | − | 0.979760i | ||||||||
0 | 0 | |||||||||
0.783250 | − | 0.112614i | 0.0282081 | − | 0.00405571i | |||||
0 | 0 | |||||||||
0.683625 | + | 0.592365i | 0.0245883 | + | 0.0213059i | 0.667068 | − | 0.744997i | ||
−0.642480 | + | 0.766303i | ||||||||
0 | 0 | |||||||||
8.12611 | − | 12.6445i | 0.291898 | − | 0.454203i | |||||
0 | 0 | |||||||||
−2.26000 | − | 2.60818i | −0.0810771 | − | 0.0935680i | |||||
0 | 0 | |||||||||
11.4789 | + | 25.1353i | 0.411274 | + | 0.900565i | |||||
0 | 0 | |||||||||
− | 18.3756i | − | 0.657529i | |||||||
0 | 0 | |||||||||
1.10577i | 0.0395169i | |||||||||
0 | 0 | |||||||||
−5.83894 | − | 12.7855i | −0.208401 | − | 0.456334i | |||||
0 | 0 | |||||||||
35.4591 | + | 40.9219i | 1.26398 | + | 1.45871i | 0.829977 | + | 0.557798i | ||
0.434003 | + | 0.900912i | ||||||||
0 | 0 | |||||||||
0.149347 | − | 0.232388i | 0.00531689 | − | 0.00827324i | |||||
0 | 0 | |||||||||
6.47298 | + | 5.60887i | 0.230153 | + | 0.199428i | |||||
0 | 0 | |||||||||
7.55610 | − | 1.08640i | 0.268325 | − | 0.0385793i | |||||
0 | 0 | |||||||||
0.434427 | + | 0.675981i | 0.0154075 | + | 0.0239746i | |||||
0 | 0 | |||||||||
12.3929 | + | 5.65963i | 0.438978 | + | 0.200474i | 0.622629 | − | 0.782517i | ||
−0.183652 | + | 0.982991i | ||||||||
0 | 0 | |||||||||
−10.9172 | + | 3.20558i | −0.386223 | + | 0.113405i | |||||
0 | 0 | |||||||||
−6.88559 | + | 23.4502i | −0.243290 | + | 0.828571i | |||||
0 | 0 | |||||||||
−2.28865 | + | 15.9179i | −0.0807648 | + | 0.561731i | |||||
0 | 0 | |||||||||
−1.52863 | − | 28.7016i | −0.0538773 | − | 1.01160i | |||||
0 | 0 | |||||||||
−1.02574 | − | 0.147480i | −0.0361079 | − | 0.00519153i | |||||
0 | 0 | |||||||||
−14.6083 | − | 4.28939i | −0.513601 | − | 0.150807i | 0.0146541 | − | 0.999893i | ||
−0.528255 | + | 0.849086i | ||||||||
0 | 0 | |||||||||
−2.78682 | − | 9.49103i | −0.0978585 | − | 0.333275i | 0.895983 | − | 0.444089i | ||
−0.993841 | + | 0.110814i | ||||||||
0 | 0 | |||||||||
−0.397121 | + | 0.869574i | −0.0139276 | + | 0.0304973i | |||||
0 | 0 | |||||||||
33.0354 | − | 21.2306i | 1.15718 | − | 0.743675i | |||||
0 | 0 | |||||||||
−3.45280 | − | 24.0148i | −0.120798 | − | 0.840171i | |||||
0 | 0 | |||||||||
−26.5798 | + | 30.6747i | −0.928772 | + | 1.07186i | |||||
0 | 0 | |||||||||
2.23257 | + | 1.43479i | 0.0779173 | + | 0.0500744i | 0.579019 | − | 0.815314i | ||
−0.501102 | + | 0.865388i | ||||||||
0 | 0 | |||||||||
−25.7224 | + | 22.2886i | −0.896628 | + | 0.776933i | −0.975511 | − | 0.219951i | ||
0.0788827 | + | 0.996884i | ||||||||
0 | 0 | |||||||||
−0.429139 | + | 0.195981i | −0.0149407 | + | 0.00682318i | |||||
0 | 0 | |||||||||
−10.0459 | −0.349329 | −0.174664 | − | 0.984628i | ||||||
−0.174664 | + | 0.984628i | ||||||||
0 | 0 | |||||||||
−17.5669 | −0.610125 | −0.305062 | − | 0.952332i | ||||||
−0.305062 | + | 0.952332i | ||||||||
0 | 0 | |||||||||
0.00908949 | − | 0.00415103i | 0.000315311 | − | 0.000143998i | |||||
0 | 0 | |||||||||
−10.7856 | + | 9.34580i | −0.373700 | + | 0.323813i | |||||
0 | 0 | |||||||||
26.1926 | + | 16.8329i | 0.906431 | + | 0.582528i | |||||
0 | 0 | |||||||||
3.55286 | − | 4.10021i | 0.122805 | − | 0.141724i | |||||
0 | 0 | |||||||||
−6.36234 | − | 44.2510i | −0.219652 | − | 1.52772i | −0.739324 | − | 0.673350i | ||
0.519672 | − | 0.854366i | ||||||||
0 | 0 | |||||||||
−22.3171 | + | 14.3423i | −0.769554 | + | 0.494563i | |||||
0 | 0 | |||||||||
0.889645 | − | 1.94805i | 0.0306410 | − | 0.0670944i | |||||
0 | 0 | |||||||||
1.32626 | + | 4.51681i | 0.0456246 | + | 0.155383i | |||||
0 | 0 | |||||||||
−22.2332 | − | 6.52825i | −0.763941 | − | 0.224313i | |||||
0 | 0 | |||||||||
−2.28690 | − | 0.328807i | −0.0784862 | − | 0.0112846i | |||||
0 | 0 | |||||||||
29.5557 | − | 28.4995i | 1.01316 | − | 0.976951i | |||||
0 | 0 | |||||||||
2.14980 | − | 14.9522i | 0.0736079 | − | 0.511954i | −0.919346 | − | 0.393451i | ||
0.992954 | − | 0.118504i | ||||||||
0 | 0 | |||||||||
−3.46485 | + | 11.8002i | −0.118495 | + | 0.403558i | |||||
0 | 0 | |||||||||
12.4399 | − | 3.65269i | 0.424939 | − | 0.124773i | −0.0622685 | − | 0.998059i | ||
0.487208 | + | 0.873286i | ||||||||
0 | 0 | |||||||||
−17.0018 | − | 7.76444i | −0.580093 | − | 0.264919i | 0.103685 | − | 0.994610i | ||
−0.683777 | + | 0.729691i | ||||||||
0 | 0 | |||||||||
2.55432 | + | 3.97460i | 0.0870509 | + | 0.135454i | |||||
0 | 0 | |||||||||
−15.3396 | + | 2.20550i | −0.522166 | + | 0.0750762i | −0.398358 | − | 0.917230i | ||
−0.123808 | + | 0.992306i | ||||||||
0 | 0 | |||||||||
−29.5870 | − | 25.6373i | −1.00599 | − | 0.871694i | |||||
0 | 0 | |||||||||
0.511478 | − | 0.795876i | 0.0173707 | − | 0.0270294i | |||||
0 | 0 | |||||||||
−4.76622 | − | 5.50051i | −0.161683 | − | 0.186592i | |||||
0 | 0 | |||||||||
4.62254 | + | 10.1219i | 0.156629 | + | 0.342969i | |||||
0 | 0 | |||||||||
− | 0.539179i | − | 0.0182484i | |||||||
0 | 0 | |||||||||
41.6440i | 1.40782i | |||||||||
0 | 0 | |||||||||
10.0439 | + | 21.9931i | 0.339160 | + | 0.742656i | 0.999969 | − | 0.00789806i | ||
−0.660809 | + | 0.750554i | ||||||||
0 | 0 | |||||||||
−0.807283 | − | 0.931654i | −0.0272290 | − | 0.0314239i | |||||
0 | 0 | |||||||||
−14.5573 | + | 22.6517i | −0.490449 | + | 0.763154i | −0.994962 | − | 0.100250i | ||
0.504513 | + | 0.863404i | ||||||||
0 | 0 | |||||||||
17.6976 | + | 15.3351i | 0.595573 | + | 0.516067i | 0.899668 | − | 0.436575i | ||
−0.304095 | + | 0.952642i | ||||||||
0 | 0 | |||||||||
−1.10749 | + | 0.159233i | −0.0372277 | + | 0.00535254i | |||||
0 | 0 | |||||||||
6.33778 | + | 9.86178i | 0.212802 | + | 0.331126i | 0.931202 | − | 0.364504i | ||
−0.718400 | + | 0.695630i | ||||||||
0 | 0 | |||||||||
18.5469 | + | 8.47008i | 0.622042 | + | 0.284077i | |||||
0 | 0 | |||||||||
17.5490 | − | 5.15284i | 0.587913 | − | 0.172627i | |||||
0 | 0 | |||||||||
2.52649 | − | 8.60445i | 0.0845459 | − | 0.287937i | |||||
0 | 0 | |||||||||
5.83486 | − | 40.5823i | 0.195038 | − | 1.35652i | |||||
0 | 0 | |||||||||
1.76246 | + | 1.37009i | 0.0588469 | + | 0.0457458i | |||||
0 | 0 | |||||||||
−12.0035 | − | 1.72584i | −0.400338 | − | 0.0575600i | |||||
0 | 0 | |||||||||
11.2368 | + | 3.29943i | 0.374353 | + | 0.109920i | |||||
0 | 0 | |||||||||
−1.16871 | − | 3.98026i | −0.0388923 | − | 0.132455i | |||||
0 | 0 | |||||||||
17.3113 | − | 37.9065i | 0.575448 | − | 1.26006i | |||||
0 | 0 | |||||||||
7.47865 | − | 4.80624i | 0.248325 | − | 0.159588i | −0.410558 | − | 0.911835i | ||
0.658882 | + | 0.752246i | ||||||||
0 | 0 | |||||||||
0.0497866 | + | 0.346273i | 0.00165132 | + | 0.0114852i | |||||
0 | 0 | |||||||||
−4.09127 | + | 4.72158i | −0.135550 | + | 0.156433i | −0.819466 | − | 0.573128i | ||
0.683916 | + | 0.729561i | ||||||||
0 | 0 | |||||||||
17.4110 | + | 11.1894i | 0.576221 | + | 0.370314i | |||||
0 | 0 | |||||||||
0.298890 | − | 0.258990i | 0.00988100 | − | 0.00856194i | |||||
0 | 0 | |||||||||
−10.9437 | + | 4.99782i | −0.361393 | + | 0.165043i | |||||
0 | 0 | |||||||||
44.4385 | 1.46589 | 0.732945 | − | 0.680288i | ||||||
0.732945 | + | 0.680288i | ||||||||
0 | 0 | |||||||||
0.408875 | 0.0134729 | |||||||||
0 | 0 | |||||||||
32.1358 | − | 14.6759i | 1.05776 | − | 0.483065i | |||||
0 | 0 | |||||||||
−12.6075 | + | 10.9244i | −0.414532 | + | 0.359194i | |||||
0 | 0 | |||||||||
−37.2555 | − | 23.9427i | −1.22363 | − | 0.786380i | |||||
0 | 0 | |||||||||
31.2517 | − | 36.0664i | 1.02534 | − | 1.18330i | 0.0424483 | − | 0.999099i | ||
0.982888 | − | 0.184203i | ||||||||
0 | 0 | |||||||||
−1.60077 | − | 11.1336i | −0.0524632 | − | 0.364890i | |||||
0 | 0 | |||||||||
2.39422 | − | 1.53867i | 0.0783834 | − | 0.0503739i | |||||
0 | 0 | |||||||||
4.47296 | − | 9.79441i | 0.146281 | − | 0.320311i | |||||
0 | 0 | |||||||||
−6.33560 | − | 21.5771i | −0.206975 | − | 0.704892i | −0.995905 | − | 0.0904086i | ||
0.788930 | − | 0.614483i | ||||||||
0 | 0 | |||||||||
0.142374 | + | 0.0418049i | 0.00464621 | + | 0.00136425i | |||||
0 | 0 | |||||||||
3.89577 | + | 0.560127i | 0.126998 | + | 0.0182596i | 0.205521 | − | 0.978653i | ||
−0.0785225 | + | 0.996912i | ||||||||
0 | 0 | |||||||||
−45.6028 | + | 32.8607i | −1.48503 | + | 1.07009i | |||||
0 | 0 | |||||||||
−0.599899 | + | 4.17239i | −0.0195147 | + | 0.135728i | |||||
0 | 0 | |||||||||
−14.6947 | + | 50.0455i | −0.477513 | + | 1.62626i | 0.270602 | + | 0.962691i | ||
−0.748115 | + | 0.663569i | ||||||||
0 | 0 | |||||||||
−29.6657 | + | 8.71065i | −0.962990 | + | 0.282760i | |||||
0 | 0 | |||||||||
2.56352 | + | 1.17072i | 0.0831278 | + | 0.0379632i | |||||
0 | 0 | |||||||||
27.2605 | + | 42.4182i | 0.883054 | + | 1.37406i | 0.927014 | + | 0.375026i | ||
−0.0439598 | + | 0.999033i | ||||||||
0 | 0 | |||||||||
−35.7216 | + | 5.13599i | −1.15592 | + | 0.166197i | |||||
0 | 0 | |||||||||
0.287665 | + | 0.249263i | 0.00929887 | + | 0.00805752i | |||||
0 | 0 | |||||||||
26.9777 | − | 41.9781i | 0.871156 | − | 1.35555i | |||||
0 | 0 | |||||||||
18.6634 | + | 21.5387i | 0.602044 | + | 0.694796i | |||||
0 | 0 | |||||||||
−20.6114 | − | 45.1328i | −0.664194 | − | 1.45438i | |||||
0 | 0 | |||||||||
2.47938i | 0.0798140i | |||||||||
0 | 0 | |||||||||
− | 3.03743i | − | 0.0976771i | −0.998807 | − | 0.0488385i | ||||
0.998807 | − | 0.0488385i | ||||||||
0 | 0 | |||||||||
−0.344227 | − | 0.753753i | −0.0110582 | − | 0.0242140i | |||||
0 | 0 | |||||||||
0.183013 | + | 0.211208i | 0.00587316 | + | 0.00677798i | 0.758679 | − | 0.651465i | ||
−0.752805 | + | 0.658243i | ||||||||
0 | 0 | |||||||||
8.27791 | − | 12.8807i | 0.265378 | − | 0.412936i | |||||
0 | 0 | |||||||||
−0.685478 | − | 0.593970i | −0.0219529 | − | 0.0190223i | |||||
0 | 0 | |||||||||
−31.1017 | + | 4.47175i | −0.995033 | + | 0.143064i | −0.620547 | − | 0.784169i | ||
−0.374485 | + | 0.927233i | ||||||||
0 | 0 | |||||||||
9.11780 | + | 14.1876i | 0.291406 | + | 0.453437i | |||||
0 | 0 | |||||||||
−31.6949 | − | 14.4746i | −1.01194 | − | 0.462137i | |||||
0 | 0 | |||||||||
−18.0776 | + | 5.30806i | −0.576585 | + | 0.169301i | −0.557007 | − | 0.830508i | ||
−0.0195781 | + | 0.999808i | ||||||||
0 | 0 | |||||||||
−6.19083 | + | 21.0840i | −0.197256 | + | 0.671793i | |||||
0 | 0 | |||||||||
0.218213 | − | 1.51770i | 0.00694578 | − | 0.0483090i | |||||
0 | 0 | |||||||||
46.5468 | − | 16.4029i | 1.48010 | − | 0.521583i | |||||
0 | 0 | |||||||||
19.6292 | + | 2.82225i | 0.623541 | + | 0.0896516i | 0.446841 | − | 0.894613i | ||
0.176699 | + | 0.984265i | ||||||||
0 | 0 | |||||||||
3.46030 | + | 1.01604i | 0.109809 | + | 0.0322429i | |||||
0 | 0 | |||||||||
−5.28421 | − | 17.9964i | −0.167521 | − | 0.570523i | |||||
0 | 0 | |||||||||
−18.6659 | + | 40.8727i | −0.591156 | + | 1.29445i | 0.343586 | + | 0.939121i | ||
−0.934741 | + | 0.355329i | ||||||||
0 | 0 | |||||||||
−5.06562 | + | 3.25547i | −0.160269 | + | 0.102999i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 368.2.s.b.15.5 | yes | 80 | |
4.3 | odd | 2 | inner | 368.2.s.b.15.4 | ✓ | 80 | |
23.20 | odd | 22 | inner | 368.2.s.b.319.4 | yes | 80 | |
92.43 | even | 22 | inner | 368.2.s.b.319.5 | yes | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
368.2.s.b.15.4 | ✓ | 80 | 4.3 | odd | 2 | inner | |
368.2.s.b.15.5 | yes | 80 | 1.1 | even | 1 | trivial | |
368.2.s.b.319.4 | yes | 80 | 23.20 | odd | 22 | inner | |
368.2.s.b.319.5 | yes | 80 | 92.43 | even | 22 | inner |