Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [900,2,Mod(307,900)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(900, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("900.307");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 900.k (of order , degree , minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Coefficient field: | 12.0.426337261060096.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
|
Coefficient ring: | |
Coefficient ring index: | |
Twist minimal: | no (minimal twist has level 60) |
Sato-Tate group: |
Embedding invariants
Embedding label | 307.2 | ||
Root | of defining polynomial | ||
Character | 900.307 | ||
Dual form | 900.2.k.n.343.2 |
-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
−1.19252 | + | 0.760198i | −0.843238 | + | 0.537541i | |||||
0 | 0 | |||||||||
0.844199 | − | 1.81310i | 0.422099 | − | 0.906550i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0.611393 | − | 0.611393i | 0.231085 | − | 0.231085i | −0.582060 | − | 0.813145i | ||
0.813145 | + | 0.582060i | ||||||||
0.371591 | + | 2.80391i | 0.131377 | + | 0.991332i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
5.12822i | 1.54622i | 0.634274 | + | 0.773108i | ||||||
−0.634274 | + | 0.773108i | ||||||||
0 | 0 | |||||||||
−1.76156 | + | 1.76156i | −0.488568 | + | 0.488568i | −0.907854 | − | 0.419286i | ||
0.419286 | + | 0.907854i | ||||||||
−0.264318 | + | 1.19388i | −0.0706419 | + | 0.319077i | |||||
0 | 0 | |||||||||
−2.57466 | − | 3.06123i | −0.643664 | − | 0.765308i | |||||
−3.76156 | − | 3.76156i | −0.912312 | − | 0.912312i | 0.0841421 | − | 0.996454i | ||
−0.996454 | + | 0.0841421i | ||||||||
0 | 0 | |||||||||
1.22279 | 0.280527 | 0.140263 | − | 0.990114i | ||||||
0.140263 | + | 0.990114i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−3.89846 | − | 6.11549i | −0.831154 | − | 1.30383i | |||||
1.07700 | + | 1.07700i | 0.224571 | + | 0.224571i | 0.810420 | − | 0.585849i | ||
−0.585849 | + | 0.810420i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0.761557 | − | 3.43982i | 0.149354 | − | 0.674604i | |||||
0 | 0 | |||||||||
−0.592379 | − | 1.62465i | −0.111949 | − | 0.307031i | |||||
0.864641i | 0.160560i | 0.996772 | + | 0.0802799i | ||||||
−0.996772 | + | 0.0802799i | ||||||||
0 | 0 | |||||||||
7.81086i | 1.40287i | 0.712732 | + | 0.701436i | ||||||
−0.712732 | + | 0.701436i | ||||||||
5.39747 | + | 1.69333i | 0.954146 | + | 0.299341i | |||||
0 | 0 | |||||||||
7.34525 | + | 1.62620i | 1.25970 | + | 0.278891i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
1.76156 | + | 1.76156i | 0.289598 | + | 0.289598i | 0.836921 | − | 0.547323i | ||
−0.547323 | + | 0.836921i | ||||||||
−1.45820 | + | 0.929560i | −0.236551 | + | 0.150795i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−5.52311 | −0.862566 | −0.431283 | − | 0.902217i | ||||||
−0.431283 | + | 0.902217i | ||||||||
0 | 0 | |||||||||
6.20522 | + | 6.20522i | 0.946288 | + | 0.946288i | 0.998629 | − | 0.0523416i | ||
−0.0523416 | + | 0.998629i | ||||||||
9.29797 | + | 4.32924i | 1.40172 | + | 0.652657i | |||||
0 | 0 | |||||||||
−2.10308 | − | 0.465611i | −0.310083 | − | 0.0686506i | |||||
−2.29979 | + | 2.29979i | −0.335459 | + | 0.335459i | −0.854655 | − | 0.519196i | ||
0.519196 | + | 0.854655i | ||||||||
0 | 0 | |||||||||
6.25240i | 0.893199i | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
1.70677 | + | 4.68098i | 0.236687 | + | 0.649135i | |||||
−2.62620 | + | 2.62620i | −0.360736 | + | 0.360736i | −0.864084 | − | 0.503348i | ||
0.503348 | + | 0.864084i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
1.94148 | + | 1.48710i | 0.259441 | + | 0.198723i | |||||
0 | 0 | |||||||||
−0.657298 | − | 1.03110i | −0.0863075 | − | 0.135390i | |||||
−0.528636 | −0.0688225 | −0.0344113 | − | 0.999408i | ||||||
−0.0344113 | + | 0.999408i | ||||||||
0 | 0 | |||||||||
4.98168 | 0.637838 | 0.318919 | − | 0.947782i | ||||||
0.318919 | + | 0.947782i | ||||||||
−5.93780 | − | 9.31460i | −0.754101 | − | 1.18295i | |||||
0 | 0 | |||||||||
−7.72384 | + | 2.08382i | −0.965480 | + | 0.260477i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−6.20522 | + | 6.20522i | −0.758089 | + | 0.758089i | −0.975974 | − | 0.217886i | ||
0.217886 | + | 0.975974i | ||||||||
−9.99558 | + | 3.64457i | −1.21214 | + | 0.441969i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
− | 8.10243i | − | 0.961581i | −0.876835 | − | 0.480791i | ||||
0.876835 | − | 0.480791i | ||||||||
0 | 0 | |||||||||
2.25240 | − | 2.25240i | 0.263623 | − | 0.263623i | −0.562901 | − | 0.826524i | ||
0.826524 | + | 0.562901i | ||||||||
−3.43982 | − | 0.761557i | −0.399871 | − | 0.0885292i | |||||
0 | 0 | |||||||||
1.03228 | − | 2.21703i | 0.118410 | − | 0.254311i | |||||
3.13536 | + | 3.13536i | 0.357307 | + | 0.357307i | |||||
0 | 0 | |||||||||
−15.9133 | −1.79039 | −0.895193 | − | 0.445680i | ||||||
−0.895193 | + | 0.445680i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
6.58641 | − | 4.19866i | 0.727348 | − | 0.463664i | |||||
7.95665 | + | 7.95665i | 0.873355 | + | 0.873355i | 0.992836 | − | 0.119481i | ||
−0.119481 | + | 0.992836i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−12.1170 | − | 2.68264i | −1.30661 | − | 0.289277i | |||||
0 | 0 | |||||||||
−14.3791 | + | 1.90560i | −1.53281 | + | 0.203138i | |||||
7.25240i | 0.768752i | 0.923177 | + | 0.384376i | ||||||
−0.923177 | + | 0.384376i | ||||||||
0 | 0 | |||||||||
2.15401i | 0.225801i | |||||||||
2.86192 | − | 1.04351i | 0.298376 | − | 0.108793i | |||||
0 | 0 | |||||||||
0.994247 | − | 4.49084i | 0.102549 | − | 0.463195i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−0.793833 | − | 0.793833i | −0.0806015 | − | 0.0806015i | 0.665657 | − | 0.746258i | ||
−0.746258 | + | 0.665657i | ||||||||
−4.75306 | − | 7.45610i | −0.480131 | − | 0.753179i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
10.1170 | 1.00668 | 0.503341 | − | 0.864088i | ||||||
0.503341 | + | 0.864088i | ||||||||
0 | 0 | |||||||||
3.82267 | + | 3.82267i | 0.376659 | + | 0.376659i | 0.869895 | − | 0.493236i | ||
−0.493236 | + | 0.869895i | ||||||||
−5.59383 | − | 4.28467i | −0.548520 | − | 0.420147i | |||||
0 | 0 | |||||||||
1.13536 | − | 5.12822i | 0.110276 | − | 0.498097i | |||||
−5.51107 | + | 5.51107i | −0.532775 | + | 0.532775i | −0.921397 | − | 0.388622i | ||
0.388622 | + | 0.921397i | ||||||||
0 | 0 | |||||||||
− | 7.31695i | − | 0.700836i | −0.936593 | − | 0.350418i | ||||
0.936593 | − | 0.350418i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−3.44575 | − | 0.297490i | −0.325592 | − | 0.0281101i | |||||
−0.509161 | + | 0.509161i | −0.0478978 | + | 0.0478978i | −0.730650 | − | 0.682752i | ||
0.682752 | + | 0.730650i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
1.56768 | + | 0.729929i | 0.145555 | + | 0.0677722i | |||||
0 | 0 | |||||||||
0.630408 | − | 0.401868i | 0.0580337 | − | 0.0369949i | |||||
−4.59958 | −0.421643 | |||||||||
0 | 0 | |||||||||
−15.2986 | −1.39078 | |||||||||
−5.94074 | + | 3.78706i | −0.537849 | + | 0.342864i | |||||
0 | 0 | |||||||||
14.1619 | + | 6.59392i | 1.27177 | + | 0.592152i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−7.49103 | + | 7.49103i | −0.664722 | + | 0.664722i | −0.956489 | − | 0.291767i | ||
0.291767 | + | 0.956489i | ||||||||
7.62671 | − | 8.35664i | 0.674112 | − | 0.738629i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
13.9964i | 1.22287i | 0.791296 | + | 0.611434i | ||||||
−0.791296 | + | 0.611434i | ||||||||
0 | 0 | |||||||||
0.747604 | − | 0.747604i | 0.0648255 | − | 0.0648255i | |||||
2.68264 | − | 12.1170i | 0.231745 | − | 1.04675i | |||||
0 | 0 | |||||||||
9.14931 | − | 11.9448i | 0.784547 | − | 1.02426i | |||||
7.01395 | + | 7.01395i | 0.599242 | + | 0.599242i | 0.940111 | − | 0.340869i | ||
−0.340869 | + | 0.940111i | ||||||||
0 | 0 | |||||||||
2.28006 | 0.193392 | 0.0966960 | − | 0.995314i | ||||||
0.0966960 | + | 0.995314i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
6.15945 | + | 9.66229i | 0.516889 | + | 0.810842i | |||||
−9.03365 | − | 9.03365i | −0.755432 | − | 0.755432i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−0.973757 | + | 4.39829i | −0.0805887 | + | 0.364005i | |||||
0 | 0 | |||||||||
4.68098 | − | 1.70677i | 0.384774 | − | 0.140296i | |||||
− | 10.1170i | − | 0.828820i | −0.910090 | − | 0.414410i | ||||
0.910090 | − | 0.414410i | ||||||||
0 | 0 | |||||||||
7.93691i | 0.645897i | 0.946417 | + | 0.322948i | ||||||
−0.946417 | + | 0.322948i | ||||||||
0.454377 | + | 3.42859i | 0.0368548 | + | 0.278095i | |||||
0 | 0 | |||||||||
−6.12247 | − | 1.35548i | −0.493362 | − | 0.109228i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−9.01395 | − | 9.01395i | −0.719392 | − | 0.719392i | 0.249089 | − | 0.968481i | ||
−0.968481 | + | 0.249089i | ||||||||
18.9769 | − | 12.0972i | 1.50972 | − | 0.962405i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
1.31695 | 0.103790 | |||||||||
0 | 0 | |||||||||
−13.0849 | − | 13.0849i | −1.02489 | − | 1.02489i | −0.999682 | − | 0.0252033i | ||
−0.0252033 | − | 0.999682i | ||||||||
−4.66261 | + | 10.0140i | −0.364088 | + | 0.781958i | |||||
0 | 0 | |||||||||
−15.5371 | − | 3.43982i | −1.20591 | − | 0.266982i | |||||
11.3334 | − | 11.3334i | 0.877008 | − | 0.877008i | −0.116216 | − | 0.993224i | ||
0.993224 | + | 0.116216i | ||||||||
0 | 0 | |||||||||
6.79383i | 0.522603i | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
16.4891 | − | 6.01224i | 1.25728 | − | 0.458429i | |||||
7.96772 | − | 7.96772i | 0.605775 | − | 0.605775i | −0.336064 | − | 0.941839i | ||
0.941839 | + | 0.336064i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
15.6987 | − | 13.2034i | 1.18333 | − | 0.995244i | |||||
0 | 0 | |||||||||
−5.51325 | − | 8.64861i | −0.413236 | − | 0.648241i | |||||
−12.6475 | −0.945320 | −0.472660 | − | 0.881245i | ||||||
−0.472660 | + | 0.881245i | ||||||||
0 | 0 | |||||||||
7.72928 | 0.574513 | 0.287256 | − | 0.957854i | ||||||
0.287256 | + | 0.957854i | ||||||||
−1.63747 | − | 2.56869i | −0.121378 | − | 0.190404i | |||||
0 | 0 | |||||||||
−2.61962 | + | 3.42003i | −0.193121 | + | 0.252128i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
19.2901 | − | 19.2901i | 1.41063 | − | 1.41063i | |||||
2.22827 | + | 6.11123i | 0.162513 | + | 0.445707i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
7.04516i | 0.509770i | 0.966971 | + | 0.254885i | ||||||
−0.966971 | + | 0.254885i | ||||||||
0 | 0 | |||||||||
11.5048 | − | 11.5048i | 0.828133 | − | 0.828133i | −0.159125 | − | 0.987258i | ||
0.987258 | + | 0.159125i | ||||||||
1.55013 | + | 0.343190i | 0.111293 | + | 0.0246396i | |||||
0 | 0 | |||||||||
11.3362 | + | 5.27827i | 0.809730 | + | 0.377019i | |||||
7.87859 | + | 7.87859i | 0.561327 | + | 0.561327i | 0.929684 | − | 0.368358i | ||
−0.368358 | + | 0.929684i | ||||||||
0 | 0 | |||||||||
11.4792 | 0.813741 | 0.406870 | − | 0.913486i | ||||||
0.406870 | + | 0.913486i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−12.0648 | + | 7.69095i | −0.848873 | + | 0.541133i | |||||
0.528636 | + | 0.528636i | 0.0371030 | + | 0.0371030i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−7.46460 | − | 1.65262i | −0.520083 | − | 0.115143i | |||||
0 | 0 | |||||||||
9.92794 | + | 0.857132i | 0.688379 | + | 0.0594314i | |||||
6.27072i | 0.433755i | |||||||||
0 | 0 | |||||||||
− | 5.49134i | − | 0.378039i | −0.981973 | − | 0.189020i | ||||
0.981973 | − | 0.189020i | ||||||||
2.54452 | + | 6.97859i | 0.174759 | + | 0.479292i | |||||
0 | 0 | |||||||||
2.38255 | − | 10.7616i | 0.162868 | − | 0.735645i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
4.77551 | + | 4.77551i | 0.324183 | + | 0.324183i | |||||
5.56233 | + | 8.72559i | 0.376728 | + | 0.590972i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
13.2524 | 0.891453 | |||||||||
0 | 0 | |||||||||
10.8678 | + | 10.8678i | 0.727764 | + | 0.727764i | 0.970174 | − | 0.242410i | ||
−0.242410 | + | 0.970174i | ||||||||
4.33526 | − | 2.26469i | 0.289662 | − | 0.151316i | |||||
0 | 0 | |||||||||
0.220121 | − | 0.994247i | 0.0146422 | − | 0.0661363i | |||||
4.98244 | − | 4.98244i | 0.330696 | − | 0.330696i | −0.522155 | − | 0.852851i | ||
0.852851 | + | 0.522155i | ||||||||
0 | 0 | |||||||||
− | 25.7572i | − | 1.70208i | −0.525098 | − | 0.851041i | ||||
0.525098 | − | 0.851041i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−2.42438 | + | 0.321293i | −0.159168 | + | 0.0210939i | |||||
−0.715328 | + | 0.715328i | −0.0468627 | + | 0.0468627i | −0.730150 | − | 0.683287i | ||
0.683287 | + | 0.730150i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−0.446274 | + | 0.958469i | −0.0290499 | + | 0.0623910i | |||||
0 | 0 | |||||||||
5.48509 | − | 3.49659i | 0.355545 | − | 0.226650i | |||||
26.9354 | 1.74231 | 0.871154 | − | 0.491009i | ||||||
0.871154 | + | 0.491009i | ||||||||
0 | 0 | |||||||||
14.0925 | 0.907775 | 0.453887 | − | 0.891059i | ||||||
0.453887 | + | 0.891059i | ||||||||
18.2439 | − | 11.6300i | 1.17276 | − | 0.747603i | |||||
0 | 0 | |||||||||
4.20553 | − | 9.03228i | 0.269231 | − | 0.578232i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−2.15401 | + | 2.15401i | −0.137056 | + | 0.137056i | |||||
−21.9010 | + | 2.90245i | −1.39071 | + | 0.184306i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
− | 17.2471i | − | 1.08863i | −0.838882 | − | 0.544314i | ||||
0.838882 | − | 0.544314i | ||||||||
0 | 0 | |||||||||
−5.52311 | + | 5.52311i | −0.347235 | + | 0.347235i | |||||
3.23853 | − | 14.6279i | 0.203203 | − | 0.917834i | |||||
0 | 0 | |||||||||
−2.74229 | + | 15.7632i | −0.171393 | + | 0.985203i | |||||
−15.0140 | − | 15.0140i | −0.936545 | − | 0.936545i | 0.0615588 | − | 0.998103i | ||
−0.998103 | + | 0.0615588i | ||||||||
0 | 0 | |||||||||
2.15401 | 0.133844 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−10.6400 | − | 16.6909i | −0.657341 | − | 1.03117i | |||||
−6.73386 | − | 6.73386i | −0.415228 | − | 0.415228i | 0.468327 | − | 0.883555i | ||
−0.883555 | + | 0.468327i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−0.323204 | + | 1.45986i | −0.0198169 | + | 0.0895096i | |||||
0 | 0 | |||||||||
6.01224 | + | 16.4891i | 0.367256 | + | 1.00723i | |||||
− | 25.7047i | − | 1.56724i | −0.621238 | − | 0.783622i | ||||
0.621238 | − | 0.783622i | ||||||||
0 | 0 | |||||||||
− | 0.931222i | − | 0.0565677i | −0.999600 | − | 0.0282839i | ||||
0.999600 | − | 0.0282839i | ||||||||
−1.83029 | + | 21.1997i | −0.110977 | + | 1.28542i | |||||
0 | 0 | |||||||||
−13.6963 | − | 3.03228i | −0.827421 | − | 0.183186i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
22.0602 | + | 22.0602i | 1.32547 | + | 1.32547i | 0.909277 | + | 0.416190i | ||
0.416190 | + | 0.909277i | ||||||||
−2.71901 | + | 1.73330i | −0.163075 | + | 0.103956i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−8.56934 | −0.511204 | −0.255602 | − | 0.966782i | ||||||
−0.255602 | + | 0.966782i | ||||||||
0 | 0 | |||||||||
−11.5705 | − | 11.5705i | −0.687796 | − | 0.687796i | 0.273949 | − | 0.961744i | ||
−0.961744 | + | 0.273949i | ||||||||
−14.6905 | − | 6.84006i | −0.871721 | − | 0.405883i | |||||
0 | 0 | |||||||||
17.6402 | + | 3.90543i | 1.04308 | + | 0.230933i | |||||
−3.37680 | + | 3.37680i | −0.199326 | + | 0.199326i | |||||
0 | 0 | |||||||||
11.2986i | 0.664625i | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−2.18235 | − | 5.98529i | −0.127712 | − | 0.350262i | |||||
12.8969 | − | 12.8969i | 0.753446 | − | 0.753446i | −0.221675 | − | 0.975121i | ||
0.975121 | + | 0.221675i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−4.28467 | + | 5.59383i | −0.249041 | + | 0.325135i | |||||
0 | 0 | |||||||||
7.69095 | + | 12.0648i | 0.445525 | + | 0.698892i | |||||
−3.79441 | −0.219436 | |||||||||
0 | 0 | |||||||||
7.58767 | 0.437346 | |||||||||
−6.03362 | − | 9.46491i | −0.347196 | − | 0.544644i | |||||
0 | 0 | |||||||||
−3.14826 | − | 3.74324i | −0.180565 | − | 0.214689i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−1.60564 | + | 1.60564i | −0.0916387 | + | 0.0916387i | −0.751440 | − | 0.659801i | ||
0.659801 | + | 0.751440i | ||||||||
8.33158 | − | 3.03785i | 0.474736 | − | 0.173098i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
− | 19.4161i | − | 1.10099i | −0.834839 | − | 0.550494i | ||||
0.834839 | − | 0.550494i | ||||||||
0 | 0 | |||||||||
−17.7110 | + | 17.7110i | −1.00108 | + | 1.00108i | −0.00108322 | + | 0.999999i | ||
−0.999999 | + | 0.00108322i | ||||||||
17.6017 | + | 3.89692i | 0.993321 | + | 0.219916i | |||||
0 | 0 | |||||||||
−13.4340 | + | 28.8524i | −0.755721 | + | 1.62307i | |||||
−7.78946 | − | 7.78946i | −0.437500 | − | 0.437500i | 0.453670 | − | 0.891170i | ||
−0.891170 | + | 0.453670i | ||||||||
0 | 0 | |||||||||
−4.43407 | −0.248260 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−1.57048 | + | 1.00114i | −0.0875196 | + | 0.0557914i | |||||
−4.59958 | − | 4.59958i | −0.255928 | − | 0.255928i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
25.5510 | + | 5.65685i | 1.41514 | + | 0.313304i | |||||
0 | 0 | |||||||||
−2.05234 | − | 15.4863i | −0.113322 | − | 0.855089i | |||||
2.81215i | 0.155039i | |||||||||
0 | 0 | |||||||||
− | 31.7005i | − | 1.74242i | −0.490912 | − | 0.871209i | ||||
0.490912 | − | 0.871209i | ||||||||
21.1432 | − | 7.70919i | 1.16038 | − | 0.423097i | |||||
0 | 0 | |||||||||
−4.89968 | + | 22.1310i | −0.268098 | + | 1.21095i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−18.9634 | − | 18.9634i | −1.03300 | − | 1.03300i | −0.999437 | − | 0.0335632i | ||
−0.0335632 | − | 0.999437i | ||||||||
−5.16466 | − | 8.10177i | −0.280920 | − | 0.440678i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−40.0558 | −2.16914 | |||||||||
0 | 0 | |||||||||
8.10243 | + | 8.10243i | 0.437490 | + | 0.437490i | |||||
−15.0931 | + | 19.7047i | −0.813765 | + | 1.06241i | |||||
0 | 0 | |||||||||
−3.44461 | + | 15.5587i | −0.185183 | + | 0.836441i | |||||
−7.71957 | + | 7.71957i | −0.414408 | + | 0.414408i | −0.883271 | − | 0.468863i | ||
0.468863 | + | 0.883271i | ||||||||
0 | 0 | |||||||||
27.0741i | 1.44925i | 0.689146 | + | 0.724623i | ||||||
−0.689146 | + | 0.724623i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−8.68375 | + | 27.6794i | −0.462846 | + | 1.47532i | |||||
−9.96772 | + | 9.96772i | −0.530528 | + | 0.530528i | −0.920730 | − | 0.390201i | ||
0.390201 | + | 0.920730i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
13.1493 | + | 6.12247i | 0.696912 | + | 0.324490i | |||||
0 | 0 | |||||||||
15.0824 | − | 9.61461i | 0.797129 | − | 0.508148i | |||||
−14.2334 | −0.751211 | −0.375606 | − | 0.926780i | ||||||
−0.375606 | + | 0.926780i | ||||||||
0 | 0 | |||||||||
−17.5048 | −0.921305 | |||||||||
−9.21731 | + | 5.87578i | −0.484451 | + | 0.308824i | |||||
0 | 0 | |||||||||
3.90543 | + | 1.81841i | 0.204700 | + | 0.0953107i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−2.89145 | + | 2.89145i | −0.150933 | + | 0.150933i | −0.778534 | − | 0.627602i | ||
0.627602 | + | 0.778534i | ||||||||
0.524045 | − | 6.06988i | 0.0273177 | − | 0.316414i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
3.21128i | 0.166721i | |||||||||
0 | 0 | |||||||||
11.2847 | − | 11.2847i | 0.584298 | − | 0.584298i | −0.351783 | − | 0.936081i | ||
0.936081 | + | 0.351783i | ||||||||
−8.33950 | + | 37.6681i | −0.431225 | + | 1.94777i | |||||
0 | 0 | |||||||||
−7.30299 | − | 5.59383i | −0.376623 | − | 0.288480i | |||||
−1.52311 | − | 1.52311i | −0.0784444 | − | 0.0784444i | |||||
0 | 0 | |||||||||
15.4562 | 0.793932 | 0.396966 | − | 0.917833i | ||||||
0.396966 | + | 0.917833i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−5.35571 | − | 8.40148i | −0.274022 | − | 0.429857i | |||||
12.5562 | + | 12.5562i | 0.641593 | + | 0.641593i | 0.950947 | − | 0.309354i | ||
−0.309354 | + | 0.950947i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−4.97376 | + | 22.4656i | −0.253158 | + | 1.14347i | |||||
0 | 0 | |||||||||
−2.10945 | + | 0.769144i | −0.107091 | + | 0.0390474i | |||||
5.16327i | 0.261788i | 0.991396 | + | 0.130894i | ||||||
−0.991396 | + | 0.130894i | ||||||||
0 | 0 | |||||||||
− | 8.10243i | − | 0.409757i | |||||||
−17.5312 | + | 2.32333i | −0.885458 | + | 0.117346i | |||||
0 | 0 | |||||||||
−15.3847 | − | 3.40608i | −0.775068 | − | 0.171596i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
3.46293 | + | 3.46293i | 0.173800 | + | 0.173800i | 0.788646 | − | 0.614847i | ||
−0.614847 | + | 0.788646i | ||||||||
−13.6892 | + | 8.72648i | −0.686177 | + | 0.437419i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−3.49521 | −0.174542 | −0.0872712 | − | 0.996185i | ||||||
−0.0872712 | + | 0.996185i | ||||||||
0 | 0 | |||||||||
−13.7593 | − | 13.7593i | −0.685399 | − | 0.685399i | |||||
8.54079 | − | 18.3432i | 0.424920 | − | 0.912608i | |||||
0 | 0 | |||||||||
−1.03228 | − | 0.228540i | −0.0512310 | − | 0.0113423i | |||||
−9.03365 | + | 9.03365i | −0.447781 | + | 0.447781i | |||||
0 | 0 | |||||||||
− | 14.8034i | − | 0.731982i | −0.930618 | − | 0.365991i | ||||
0.930618 | − | 0.365991i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
10.1580 | − | 3.70379i | 0.500448 | − | 0.182473i | |||||
−0.323204 | + | 0.323204i | −0.0159039 | + | 0.0159039i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−12.4908 | + | 6.52505i | −0.612414 | + | 0.319917i | |||||
0 | 0 | |||||||||
−4.76699 | − | 7.47795i | −0.233161 | − | 0.365758i | |||||
19.0701 | 0.931634 | 0.465817 | − | 0.884881i | ||||||
0.465817 | + | 0.884881i | ||||||||
0 | 0 | |||||||||
−20.8034 | −1.01390 | −0.506948 | − | 0.861976i | ||||||
−0.506948 | + | 0.861976i | ||||||||
4.17450 | + | 6.54852i | 0.203212 | + | 0.318777i | |||||
0 | 0 | |||||||||
−8.33950 | − | 6.38776i | −0.405002 | − | 0.310217i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
3.04577 | − | 3.04577i | 0.147395 | − | 0.147395i | |||||
5.33968 | + | 14.6446i | 0.258103 | + | 0.707872i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
− | 15.3302i | − | 0.738428i | −0.929344 | − | 0.369214i | ||||
0.929344 | − | 0.369214i | ||||||||
0 | 0 | |||||||||
−16.2803 | + | 16.2803i | −0.782381 | + | 0.782381i | −0.980232 | − | 0.197851i | ||
0.197851 | + | 0.980232i | ||||||||
−9.32521 | − | 2.06455i | −0.447625 | − | 0.0991016i | |||||
0 | 0 | |||||||||
−13.2663 | − | 6.17696i | −0.635343 | − | 0.295823i | |||||
1.31695 | + | 1.31695i | 0.0629981 | + | 0.0629981i | |||||
0 | 0 | |||||||||
24.6554 | 1.17674 | 0.588368 | − | 0.808593i | ||||||
0.588368 | + | 0.808593i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−15.8037 | + | 10.0744i | −0.751706 | + | 0.479192i | |||||
1.77116 | + | 1.77116i | 0.0841501 | + | 0.0841501i | 0.747929 | − | 0.663779i | ||
−0.663779 | + | 0.747929i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−21.2218 | − | 4.69839i | −1.00488 | − | 0.222475i | |||||
0 | 0 | |||||||||
−3.44827 | + | 5.99634i | −0.162916 | + | 0.283300i | |||||
33.1512i | 1.56450i | 0.622963 | + | 0.782251i | ||||||
−0.622963 | + | 0.782251i | ||||||||
0 | 0 | |||||||||
− | 28.3237i | − | 1.33371i | |||||||
0.493326 | + | 1.35299i | 0.0232041 | + | 0.0636394i | |||||
0 | 0 | |||||||||
−2.15401 | + | 9.72928i | −0.101093 | + | 0.456618i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
7.50479 | + | 7.50479i | 0.351059 | + | 0.351059i | 0.860504 | − | 0.509444i | ||
−0.509444 | + | 0.860504i | ||||||||
19.5806 | + | 30.7159i | 0.914939 | + | 1.43526i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
27.0216 | 1.25852 | 0.629262 | − | 0.777193i | ||||||
0.629262 | + | 0.777193i | ||||||||
0 | 0 | |||||||||
−27.7123 | − | 27.7123i | −1.28790 | − | 1.28790i | −0.936059 | − | 0.351843i | ||
−0.351843 | − | 0.936059i | ||||||||
2.64687 | − | 2.22615i | 0.122878 | − | 0.103347i | |||||
0 | 0 | |||||||||
0.309251 | − | 1.39683i | 0.0143258 | − | 0.0647070i | |||||
−2.00823 | + | 2.00823i | −0.0929296 | + | 0.0929296i | −0.752043 | − | 0.659114i | ||
0.659114 | + | 0.752043i | ||||||||
0 | 0 | |||||||||
7.58767i | 0.350366i | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−0.196436 | − | 1.48225i | −0.00904172 | − | 0.0682260i | |||||
−31.8217 | + | 31.8217i | −1.46317 | + | 1.46317i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−3.88296 | + | 8.33950i | −0.177975 | + | 0.382240i | |||||
0 | 0 | |||||||||
−32.1210 | + | 20.4763i | −1.46918 | + | 0.936562i | |||||
13.7593 | 0.628678 | 0.314339 | − | 0.949311i | ||||||
0.314339 | + | 0.949311i | ||||||||
0 | 0 | |||||||||
−6.20617 | −0.282977 | |||||||||
−16.8055 | + | 10.7131i | −0.765470 | + | 0.487966i | |||||
0 | 0 | |||||||||
−12.9151 | + | 27.7379i | −0.587049 | + | 1.26081i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
24.3355 | − | 24.3355i | 1.10275 | − | 1.10275i | 0.108671 | − | 0.994078i | ||
0.994078 | − | 0.108671i | ||||||||
1.85115 | + | 13.9682i | 0.0837975 | + | 0.632310i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
28.8918i | 1.30387i | 0.758275 | + | 0.651935i | ||||||
−0.758275 | + | 0.651935i | ||||||||
0 | 0 | |||||||||
3.25240 | − | 3.25240i | 0.146481 | − | 0.146481i | |||||
0.931222 | − | 4.20617i | 0.0418977 | − | 0.189244i | |||||
0 | 0 | |||||||||
23.9109 | − | 20.1103i | 1.07363 | − | 0.902979i | |||||
−4.95377 | − | 4.95377i | −0.222207 | − | 0.222207i | |||||
0 | 0 | |||||||||
−12.5365 | −0.561211 | −0.280605 | − | 0.959823i | ||||||
−0.280605 | + | 0.959823i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
13.1112 | + | 20.5675i | 0.585182 | + | 0.917972i | |||||
−9.01392 | − | 9.01392i | −0.401911 | − | 0.401911i | 0.476995 | − | 0.878906i | ||
−0.878906 | + | 0.476995i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
2.38776 | − | 10.7851i | 0.106149 | − | 0.479455i | |||||
0 | 0 | |||||||||
7.25806 | + | 19.9059i | 0.322025 | + | 0.883182i | |||||
22.5448i | 0.999279i | 0.866233 | + | 0.499640i | ||||||
−0.866233 | + | 0.499640i | ||||||||
0 | 0 | |||||||||
− | 2.75420i | − | 0.121839i | |||||||
−8.71295 | − | 20.8826i | −0.385062 | − | 0.922891i | |||||
0 | 0 | |||||||||
29.3180 | + | 6.49084i | 1.29316 | + | 0.286299i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−11.7938 | − | 11.7938i | −0.518692 | − | 0.518692i | |||||
−2.56869 | + | 1.63747i | −0.112862 | + | 0.0719464i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
18.9046 | 0.828226 | 0.414113 | − | 0.910225i | ||||||
0.414113 | + | 0.910225i | ||||||||
0 | 0 | |||||||||
21.8269 | + | 21.8269i | 0.954426 | + | 0.954426i | 0.999006 | − | 0.0445800i | ||
−0.0445800 | + | 0.999006i | ||||||||
25.3768 | + | 11.8157i | 1.10859 | + | 0.516172i | |||||
0 | 0 | |||||||||
13.1493 | + | 2.91118i | 0.573337 | + | 0.126934i | |||||
29.3810 | − | 29.3810i | 1.27986 | − | 1.27986i | |||||
0 | 0 | |||||||||
− | 20.6801i | − | 0.899136i | |||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−0.724353 | − | 1.98661i | −0.0314047 | − | 0.0861303i | |||||
9.72928 | − | 9.72928i | 0.421422 | − | 0.421422i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−19.7047 | − | 15.0931i | −0.851114 | − | 0.651922i | |||||
0 | 0 | |||||||||
19.5407 | + | 30.6533i | 0.842457 | + | 1.32156i | |||||
−32.0637 | −1.38108 | |||||||||
0 | 0 | |||||||||
7.85838 | 0.337858 | 0.168929 | − | 0.985628i | ||||||
0.168929 | + | 0.985628i | ||||||||
0.707913 | + | 1.11050i | 0.0304075 | + | 0.0477000i | |||||
0 | 0 | |||||||||
−13.9333 | − | 26.6724i | −0.597387 | − | 1.14357i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−17.8105 | + | 17.8105i | −0.761522 | + | 0.761522i | −0.976597 | − | 0.215076i | ||
0.215076 | + | 0.976597i | ||||||||
18.6382 | − | 6.79582i | 0.796183 | − | 0.290303i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
1.05727i | 0.0450413i | |||||||||
0 | 0 | |||||||||
−9.72928 | + | 9.72928i | −0.413731 | + | 0.413731i | |||||
−43.0773 | − | 9.53707i | −1.83018 | − | 0.405191i | |||||
0 | 0 | |||||||||
1.92482 | − | 4.13397i | 0.0816307 | − | 0.175319i | |||||
23.3372 | + | 23.3372i | 0.988827 | + | 0.988827i | 0.999938 | − | 0.0111112i | ||
−0.0111112 | + | 0.999938i | ||||||||
0 | 0 | |||||||||
−21.8617 | −0.924652 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
10.2191 | − | 6.51439i | 0.431067 | − | 0.274793i | |||||
−5.27400 | − | 5.27400i | −0.222273 | − | 0.222273i | 0.587182 | − | 0.809455i | ||
−0.809455 | + | 0.587182i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
22.5939 | + | 5.00217i | 0.949693 | + | 0.210257i | |||||
0 | 0 | |||||||||
22.7185 | − | 3.01079i | 0.953247 | − | 0.126330i | |||||
− | 28.5606i | − | 1.19732i | −0.801002 | − | 0.598661i | ||||
0.801002 | − | 0.598661i | ||||||||
0 | 0 | |||||||||
32.2837i | 1.35103i | 0.737347 | + | 0.675515i | ||||||
−0.737347 | + | 0.675515i | ||||||||
−24.0051 | + | 8.75270i | −1.00370 | + | 0.365969i | |||||
0 | 0 | |||||||||
1.45986 | − | 6.59392i | 0.0609333 | − | 0.275225i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−27.0279 | − | 27.0279i | −1.12519 | − | 1.12519i | −0.990949 | − | 0.134237i | ||
−0.134237 | − | 0.990949i | ||||||||
−8.58919 | − | 13.4738i | −0.357263 | − | 0.560437i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
9.72928 | 0.403639 | |||||||||
0 | 0 | |||||||||
−13.4677 | − | 13.4677i | −0.557776 | − | 0.557776i | |||||
7.15249 | + | 5.47855i | 0.295972 | + | 0.226704i | |||||
0 | 0 | |||||||||
−5.57560 | + | 25.1840i | −0.230326 | + | 1.04034i | |||||
17.1558 | − | 17.1558i | 0.708096 | − | 0.708096i | −0.258039 | − | 0.966135i | ||
0.966135 | + | 0.258039i | ||||||||
0 | 0 | |||||||||
9.55102i | 0.393543i | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0.857132 | − | 9.92794i | 0.0352279 | − | 0.408036i | |||||
−21.5833 | + | 21.5833i | −0.886320 | + | 0.886320i | −0.994167 | − | 0.107848i | ||
0.107848 | + | 0.994167i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−18.3432 | − | 8.54079i | −0.751366 | − | 0.349844i | |||||
0 | 0 | |||||||||
4.52490 | − | 2.88450i | 0.185037 | − | 0.117956i | |||||
23.7636 | 0.970955 | 0.485478 | − | 0.874249i | ||||||
0.485478 | + | 0.874249i | ||||||||
0 | 0 | |||||||||
22.1695 | 0.904314 | 0.452157 | − | 0.891938i | ||||||
0.452157 | + | 0.891938i | ||||||||
−9.04843 | + | 5.76813i | −0.368786 | + | 0.235091i | |||||
0 | 0 | |||||||||
14.3904 | + | 6.70033i | 0.585537 | + | 0.272633i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−9.35348 | + | 9.35348i | −0.379646 | + | 0.379646i | −0.870974 | − | 0.491328i | ||
0.491328 | + | 0.870974i | ||||||||
6.59995 | + | 2.07058i | 0.267663 | + | 0.0839731i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
− | 8.10243i | − | 0.327789i | |||||||
0 | 0 | |||||||||
24.1247 | − | 24.1247i | 0.974389 | − | 0.974389i | −0.0252913 | − | 0.999680i | ||
0.999680 | + | 0.0252913i | ||||||||
0.694151 | − | 3.13536i | 0.0280137 | − | 0.126533i | |||||
0 | 0 | |||||||||
−7.62620 | + | 9.95634i | −0.307268 | + | 0.401152i | |||||
3.82611 | + | 3.82611i | 0.154033 | + | 0.154033i | 0.779917 | − | 0.625883i | ||
−0.625883 | + | 0.779917i | ||||||||
0 | 0 | |||||||||
30.1297 | 1.21101 | 0.605507 | − | 0.795840i | ||||||
0.605507 | + | 0.795840i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
14.7601 | + | 23.1541i | 0.591826 | + | 0.928395i | |||||
4.43407 | + | 4.43407i | 0.177647 | + | 0.177647i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
7.65681 | − | 34.5845i | 0.306028 | − | 1.38227i | |||||
0 | 0 | |||||||||
−23.9528 | + | 8.73362i | −0.955819 | + | 0.348509i | |||||
− | 13.2524i | − | 0.528408i | |||||||
0 | 0 | |||||||||
21.5701i | 0.858694i | 0.903140 | + | 0.429347i | ||||||
−0.903140 | + | 0.429347i | ||||||||
−5.91324 | − | 44.6195i | −0.235216 | − | 1.77487i | |||||
0 | 0 | |||||||||
15.2106 | + | 3.36754i | 0.604090 | + | 0.133742i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−11.0140 | − | 11.0140i | −0.436389 | − | 0.436389i | |||||
5.28771 | − | 3.37077i | 0.209342 | − | 0.133450i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−48.3911 | −1.91133 | −0.955666 | − | 0.294452i | ||||||
−0.955666 | + | 0.294452i | ||||||||
0 | 0 | |||||||||
23.3413 | + | 23.3413i | 0.920491 | + | 0.920491i | 0.997064 | − | 0.0765729i | ||
−0.0765729 | + | 0.997064i | ||||||||
1.11177 | − | 2.38776i | 0.0438097 | − | 0.0940907i | |||||
0 | 0 | |||||||||
8.98168 | + | 1.98849i | 0.353379 | + | 0.0782362i | |||||
−32.4465 | + | 32.4465i | −1.27560 | + | 1.27560i | −0.332501 | + | 0.943103i | ||
−0.943103 | + | 0.332501i | ||||||||
0 | 0 | |||||||||
− | 2.71096i | − | 0.106414i | |||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−34.7704 | + | 12.6779i | −1.36171 | + | 0.496506i | |||||
18.4725 | − | 18.4725i | 0.722885 | − | 0.722885i | −0.246307 | − | 0.969192i | ||
0.969192 | + | 0.246307i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
14.2201 | + | 16.9075i | 0.555202 | + | 0.660128i | |||||
0 | 0 | |||||||||
−2.13779 | − | 3.35355i | −0.0833399 | − | 0.130735i | |||||
47.5028 | 1.85045 | 0.925223 | − | 0.379423i | ||||||
0.925223 | + | 0.379423i | ||||||||
0 | 0 | |||||||||
−46.1204 | −1.79387 | −0.896937 | − | 0.442158i | ||||||
−0.896937 | + | 0.442158i | ||||||||
24.0987 | + | 37.8035i | 0.936621 | + | 1.46927i | |||||
0 | 0 | |||||||||
−19.3531 | + | 25.2663i | −0.751046 | + | 0.980525i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−0.931222 | + | 0.931222i | −0.0360571 | + | 0.0360571i | |||||
−10.9810 | − | 30.1163i | −0.424867 | − | 1.16524i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
25.5471i | 0.986236i | |||||||||
0 | 0 | |||||||||
−3.60599 | + | 3.60599i | −0.139001 | + | 0.139001i | −0.773183 | − | 0.634183i | ||
0.634183 | + | 0.773183i | ||||||||
37.0300 | + | 8.19825i | 1.42634 | + | 0.315785i | |||||
0 | 0 | |||||||||
12.3179 | + | 5.73535i | 0.473765 | + | 0.220590i | |||||
−8.26635 | − | 8.26635i | −0.317702 | − | 0.317702i | 0.530182 | − | 0.847884i | ||
−0.847884 | + | 0.530182i | ||||||||
0 | 0 | |||||||||
−0.970688 | −0.0372516 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
47.7673 | − | 30.4503i | 1.82910 | − | 1.16600i | |||||
−8.43079 | − | 8.43079i | −0.322595 | − | 0.322595i | 0.527167 | − | 0.849762i | ||
−0.849762 | + | 0.527167i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−15.8217 | − | 3.50285i | −0.604077 | − | 0.133739i | |||||
0 | 0 | |||||||||
3.01932 | − | 34.9719i | 0.115110 | − | 1.33329i | |||||
− | 9.25240i | − | 0.352488i | |||||||
0 | 0 | |||||||||
21.9182i | 0.833809i | 0.908950 | + | 0.416905i | ||||||
−0.908950 | + | 0.416905i | ||||||||
−7.71993 | − | 21.1726i | −0.293468 | − | 0.804862i | |||||
0 | 0 | |||||||||
3.33733 | − | 15.0741i | 0.126683 | − | 0.572206i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
20.7755 | + | 20.7755i | 0.786929 | + | 0.786929i | |||||
−20.5817 | − | 32.2864i | −0.779029 | − | 1.22206i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
21.8184 | 0.824070 | 0.412035 | − | 0.911168i | ||||||
0.412035 | + | 0.911168i | ||||||||
0 | 0 | |||||||||
2.15401 | + | 2.15401i | 0.0812400 | + | 0.0812400i | |||||
−10.6863 | − | 39.6095i | −0.402754 | − | 1.49284i | |||||
0 | 0 | |||||||||
4.30925 | − | 19.4641i | 0.162181 | − | 0.732542i | |||||
6.18549 | − | 6.18549i | 0.232629 | − | 0.232629i | |||||
0 | 0 | |||||||||
− | 31.7938i | − | 1.19404i | −0.802225 | − | 0.597021i | ||||
0.802225 | − | 0.597021i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−20.3351 | + | 2.69493i | −0.762089 | + | 0.100997i | |||||
−8.41233 | + | 8.41233i | −0.315044 | + | 0.315044i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−10.6770 | + | 22.9312i | −0.399019 | + | 0.856979i | |||||
0 | 0 | |||||||||
16.9736 | − | 10.8202i | 0.633450 | − | 0.403807i | |||||
−52.0874 | −1.94253 | −0.971265 | − | 0.237999i | ||||||
−0.971265 | + | 0.237999i | ||||||||
0 | 0 | |||||||||
4.67432 | 0.174081 | |||||||||
20.8748 | − | 13.3071i | 0.776879 | − | 0.495239i | |||||
0 | 0 | |||||||||
6.52505 | − | 14.0140i | 0.242502 | − | 0.520824i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
8.13069 | − | 8.13069i | 0.301551 | − | 0.301551i | −0.540070 | − | 0.841620i | ||
0.841620 | + | 0.540070i | ||||||||
−6.03965 | + | 0.800411i | −0.223844 | + | 0.0296652i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
− | 46.6826i | − | 1.72662i | |||||||
0 | 0 | |||||||||
29.9956 | − | 29.9956i | 1.10791 | − | 1.10791i | 0.114489 | − | 0.993424i | ||
0.993424 | − | 0.114489i | ||||||||
1.25003 | − | 5.64618i | 0.0461396 | − | 0.208404i | |||||
0 | 0 | |||||||||
3.98937 | + | 7.63682i | 0.147050 | + | 0.281497i | |||||
−31.8217 | − | 31.8217i | −1.17217 | − | 1.17217i | |||||
0 | 0 | |||||||||
−39.4719 | −1.45200 | −0.725999 | − | 0.687696i | ||||||
−0.725999 | + | 0.687696i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−2.44121 | − | 3.82951i | −0.0896196 | − | 0.140586i | |||||
12.2252 | + | 12.2252i | 0.448499 | + | 0.448499i | 0.894855 | − | 0.446356i | ||
−0.446356 | + | 0.894855i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−4.87859 | + | 22.0358i | −0.178618 | + | 0.806786i | |||||
0 | 0 | |||||||||
−18.6902 | − | 51.2595i | −0.683380 | − | 1.87423i | |||||
6.73887i | 0.246233i | |||||||||
0 | 0 | |||||||||
− | 28.9069i | − | 1.05483i | −0.849609 | − | 0.527413i | ||||
0.849609 | − | 0.527413i | ||||||||
12.9614 | + | 1.11902i | 0.472652 | + | 0.0408066i | |||||
0 | 0 | |||||||||
2.97421 | + | 0.658473i | 0.108314 | + | 0.0239802i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
16.2018 | + | 16.2018i | 0.588864 | + | 0.588864i | 0.937324 | − | 0.348459i | ||
−0.348459 | + | 0.937324i | ||||||||
−18.4318 | + | 11.7498i | −0.669474 | + | 0.426771i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
6.64641 | 0.240932 | 0.120466 | − | 0.992717i | ||||||
0.120466 | + | 0.992717i | ||||||||
0 | 0 | |||||||||
−4.47353 | − | 4.47353i | −0.161953 | − | 0.161953i | |||||
12.7736 | + | 5.94751i | 0.462131 | + | 0.215173i | |||||
0 | 0 | |||||||||
−24.5187 | − | 5.42831i | −0.885898 | − | 0.196133i | |||||
0.931222 | − | 0.931222i | 0.0336245 | − | 0.0336245i | |||||
0 | 0 | |||||||||
29.3449i | 1.05820i | 0.848559 | + | 0.529101i | ||||||
−0.848559 | + | 0.529101i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−11.1470 | − | 30.5717i | −0.401189 | − | 1.10030i | |||||
37.5833 | − | 37.5833i | 1.35178 | − | 1.35178i | 0.468104 | − | 0.883674i | ||
0.883674 | − | 0.468104i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
1.93086 | − | 2.52082i | 0.0693137 | − | 0.0904921i | |||||
0 | 0 | |||||||||
−3.92510 | − | 6.15729i | −0.140722 | − | 0.220749i | |||||
−6.75359 | −0.241973 | |||||||||
0 | 0 | |||||||||
41.5510 | 1.48681 | |||||||||
6.15945 | + | 9.66229i | 0.220261 | + | 0.345523i | |||||
0 | 0 | |||||||||
19.1400 | − | 16.0978i | 0.683573 | − | 0.574920i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
7.59353 | − | 7.59353i | 0.270680 | − | 0.270680i | −0.558694 | − | 0.829374i | ||
0.829374 | + | 0.558694i | ||||||||
20.9358 | − | 7.63357i | 0.745806 | − | 0.271935i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0.622595i | 0.0221369i | |||||||||
0 | 0 | |||||||||
−8.77551 | + | 8.77551i | −0.311628 | + | 0.311628i | |||||
−6.76212 | − | 1.49710i | −0.239979 | − | 0.0531300i | |||||
0 | 0 | |||||||||
9.69075 | − | 20.8130i | 0.343479 | − | 0.737696i | |||||
27.4908 | + | 27.4908i | 0.973775 | + | 0.973775i | 0.999665 | − | 0.0258893i | ||
−0.0258893 | + | 0.999665i | ||||||||
0 | 0 | |||||||||
17.3016 | 0.612086 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
4.16810 | − | 2.65705i | 0.147181 | − | 0.0938237i | |||||
11.5508 | + | 11.5508i | 0.407618 | + | 0.407618i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
26.8680 | + | 5.94842i | 0.946384 | + | 0.209524i | |||||
0 | 0 | |||||||||
3.75940 | + | 28.3673i | 0.132255 | + | 0.997957i | |||||
47.7205i | 1.67776i | 0.544313 | + | 0.838882i | ||||||
−0.544313 | + | 0.838882i | ||||||||
0 | 0 | |||||||||
37.3179i | 1.31041i | 0.755451 | + | 0.655205i | ||||||
−0.755451 | + | 0.655205i | ||||||||
1.40474 | − | 0.512195i | 0.0492968 | − | 0.0179745i | |||||
0 | 0 | |||||||||
3.90543 | − | 17.6402i | 0.136885 | − | 0.618287i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
7.58767 | + | 7.58767i | 0.265459 | + | 0.265459i | |||||
11.2535 | + | 17.6533i | 0.393470 | + | 0.617235i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0.686380 | 0.0239548 | 0.0119774 | − | 0.999928i | ||||||
0.0119774 | + | 0.999928i | ||||||||
0 | 0 | |||||||||
27.2553 | + | 27.2553i | 0.950059 | + | 0.950059i | 0.998811 | − | 0.0487521i | ||
−0.0487521 | + | 0.998811i | ||||||||
−9.29797 | + | 12.1389i | −0.323910 | + | 0.422879i | |||||
0 | 0 | |||||||||
0.139728 | − | 0.631126i | 0.00486175 | − | 0.0219597i | |||||
−31.4437 | + | 31.4437i | −1.09341 | + | 1.09341i | −0.0982432 | + | 0.995162i | ||
−0.995162 | + | 0.0982432i | ||||||||
0 | 0 | |||||||||
− | 0.270718i | − | 0.00940243i | −0.999989 | − | 0.00470122i | ||||
0.999989 | − | 0.00470122i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
9.93522 | − | 17.2767i | 0.344442 | − | 0.598964i | |||||
23.5187 | − | 23.5187i | 0.814876 | − | 0.814876i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
11.3694 | + | 5.29373i | 0.393220 | + | 0.183088i | |||||
0 | 0 | |||||||||
−22.7414 | + | 14.4970i | −0.785589 | + | 0.500792i | |||||
−31.0214 | −1.07098 | −0.535489 | − | 0.844542i | ||||||
−0.535489 | + | 0.844542i | ||||||||
0 | 0 | |||||||||
28.2524 | 0.974221 | |||||||||
24.8085 | − | 15.8147i | 0.854956 | − | 0.545011i | |||||
0 | 0 | |||||||||
−9.95634 | − | 4.63578i | −0.342711 | − | 0.159570i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−9.35348 | + | 9.35348i | −0.321389 | + | 0.321389i | |||||
14.8010 | + | 1.27785i | 0.508267 | + | 0.0438814i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
3.79441i | 0.130071i | |||||||||
0 | 0 | |||||||||
−3.82611 | + | 3.82611i | −0.131003 | + | 0.131003i | −0.769568 | − | 0.638565i | ||
0.638565 | + | 0.769568i | ||||||||
−1.31675 | + | 5.94751i | −0.0450581 | + | 0.203520i | |||||
0 | 0 | |||||||||
−17.5004 | − | 13.4047i | −0.598152 | − | 0.458163i | |||||
20.7711 | + | 20.7711i | 0.709529 | + | 0.709529i | 0.966436 | − | 0.256907i | ||
−0.256907 | + | 0.966436i | ||||||||
0 | 0 | |||||||||
1.69693 | 0.0578985 | 0.0289492 | − | 0.999581i | ||||||
0.0289492 | + | 0.999581i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
11.6540 | + | 18.2815i | 0.396935 | + | 0.622670i | |||||
5.92869 | + | 5.92869i | 0.201815 | + | 0.201815i | 0.800777 | − | 0.598962i | ||
−0.598962 | + | 0.800777i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
7.03831 | − | 31.7908i | 0.239171 | − | 1.08030i | |||||
0 | 0 | |||||||||
12.6900 | − | 4.62699i | 0.430725 | − | 0.157050i | |||||
− | 81.6068i | − | 2.76832i | |||||||
0 | 0 | |||||||||
− | 21.8617i | − | 0.740756i | |||||||
20.5161 | − | 2.71891i | 0.694762 | − | 0.0920740i | |||||
0 | 0 | |||||||||
−2.57162 | − | 0.569343i | −0.0869865 | − | 0.0192583i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
10.0323 | + | 10.0323i | 0.338766 | + | 0.338766i | 0.855903 | − | 0.517137i | ||
−0.517137 | + | 0.855903i | ||||||||
−29.4020 | + | 18.7430i | −0.992269 | + | 0.632544i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
29.8130 | 1.00443 | 0.502213 | − | 0.864744i | ||||||
0.502213 | + | 0.864744i | ||||||||
0 | 0 | |||||||||
5.56557 | + | 5.56557i | 0.187296 | + | 0.187296i | 0.794526 | − | 0.607230i | ||
−0.607230 | + | 0.794526i | ||||||||
11.1877 | − | 24.0279i | 0.376282 | − | 0.808146i | |||||
0 | 0 | |||||||||
−3.45856 | − | 0.765707i | −0.116193 | − | 0.0257244i | |||||
8.59630 | − | 8.59630i | 0.288636 | − | 0.288636i | −0.547905 | − | 0.836541i | ||
0.836541 | + | 0.547905i | ||||||||
0 | 0 | |||||||||
9.15994i | 0.307214i | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
28.8791 | − | 10.5298i | 0.966943 | − | 0.352565i | |||||
−2.81215 | + | 2.81215i | −0.0941052 | + | 0.0941052i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−0.446274 | − | 9.77211i | −0.0149090 | − | 0.326463i | |||||
0 | 0 | |||||||||
−25.2015 | − | 39.5334i | −0.840984 | − | 1.31925i | |||||
−6.75359 | −0.225245 | |||||||||
0 | 0 | |||||||||
19.7572 | 0.658207 | |||||||||
21.5316 | + | 33.7766i | 0.716925 | + | 1.12464i | |||||
0 | 0 | |||||||||
−1.61684 | − | 1.23844i | −0.0537754 | − | 0.0411900i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−31.6263 | + | 31.6263i | −1.05013 | + | 1.05013i | −0.0514592 | + | 0.998675i | ||
−0.998675 | + | 0.0514592i | ||||||||
−4.82748 | − | 13.2398i | −0.160206 | − | 0.439379i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
42.2656i | 1.40032i | 0.713985 | + | 0.700161i | ||||||
−0.713985 | + | 0.700161i | ||||||||
0 | 0 | |||||||||
−40.8034 | + | 40.8034i | −1.35040 | + | 1.35040i | |||||
−14.6547 | − | 3.24448i | −0.484735 | − | 0.107318i | |||||
0 | 0 | |||||||||
−46.7003 | − | 21.7442i | −1.54302 | − | 0.718448i | |||||
8.55728 | + | 8.55728i | 0.282586 | + | 0.282586i | |||||
0 | 0 | |||||||||
−31.2829 | −1.03193 | −0.515964 | − | 0.856610i | ||||||
−0.515964 | + | 0.856610i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−32.2238 | + | 20.5418i | −1.06123 | + | 0.676508i | |||||
14.2729 | + | 14.2729i | 0.469798 | + | 0.469798i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
54.1143 | + | 11.9806i | 1.77831 | + | 0.393707i | |||||
0 | 0 | |||||||||
−1.46412 | + | 4.66687i | −0.0480621 | + | 0.153198i | |||||
− | 22.1050i | − | 0.725241i | −0.931937 | − | 0.362620i | ||||
0.931937 | − | 0.362620i | ||||||||
0 | 0 | |||||||||
7.64535i | 0.250566i | |||||||||
0.693082 | + | 1.90084i | 0.0227026 | + | 0.0622641i | |||||
0 | 0 | |||||||||
0.868197 | − | 3.92150i | 0.0284083 | − | 0.128315i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
15.2986 | + | 15.2986i | 0.499784 | + | 0.499784i | 0.911371 | − | 0.411586i | ||
−0.411586 | + | 0.911371i | ||||||||
−5.76813 | − | 9.04843i | −0.188336 | − | 0.295442i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−25.5264 | −0.832138 | −0.416069 | − | 0.909333i | ||||||
−0.416069 | + | 0.909333i | ||||||||
0 | 0 | |||||||||
−5.94842 | − | 5.94842i | −0.193707 | − | 0.193707i | |||||
1.36106 | + | 1.61828i | 0.0442986 | + | 0.0526704i | |||||
0 | 0 | |||||||||
13.7572 | − | 62.1388i | 0.447285 | − | 2.02031i | |||||
11.9881 | − | 11.9881i | 0.389562 | − | 0.389562i | −0.484969 | − | 0.874531i | ||
0.874531 | + | 0.484969i | ||||||||
0 | 0 | |||||||||
7.93545i | 0.257596i | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−1.70916 | − | 12.8968i | −0.0553943 | − | 0.417988i | |||||
5.99563 | − | 5.99563i | 0.194218 | − | 0.194218i | −0.603298 | − | 0.797516i | ||
0.797516 | + | 0.603298i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
22.7389 | − | 48.8366i | 0.735427 | − | 1.57949i | |||||
0 | 0 | |||||||||
−16.4082 | + | 10.4598i | −0.530125 | + | 0.337940i | |||||
8.57657 | 0.276952 | |||||||||
0 | 0 | |||||||||
−30.0096 | −0.968051 | |||||||||
7.40097 | − | 4.71791i | 0.238617 | − | 0.152112i | |||||
0 | 0 | |||||||||
11.8968 | − | 25.5510i | 0.383171 | − | 0.822943i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
1.66866 | − | 1.66866i | 0.0536606 | − | 0.0536606i | −0.679767 | − | 0.733428i | ||
0.733428 | + | 0.679767i | ||||||||
−5.68483 | − | 42.8960i | −0.182717 | − | 1.37873i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
− | 4.79719i | − | 0.153949i | −0.997033 | − | 0.0769745i | ||||
0.997033 | − | 0.0769745i | ||||||||
0 | 0 | |||||||||
1.39401 | − | 1.39401i | 0.0446900 | − | 0.0446900i | |||||
−10.5208 | + | 47.5204i | −0.337107 | + | 1.52265i | |||||
0 | 0 | |||||||||
−12.8261 | − | 15.2501i | −0.410554 | − | 0.488143i | |||||
−25.0140 | − | 25.0140i | −0.800267 | − | 0.800267i | 0.182870 | − | 0.983137i | ||
−0.983137 | + | 0.182870i | ||||||||
0 | 0 | |||||||||
−37.1919 | −1.18866 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−21.9635 | − | 34.4540i | −0.700884 | − | 1.09947i | |||||
−30.9151 | − | 30.9151i | −0.986038 | − | 0.986038i | 0.0138655 | − | 0.999904i | ||
−0.999904 | + | 0.0138655i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−1.40608 | + | 6.35101i | −0.0447786 | + | 0.202257i | |||||
0 | 0 | |||||||||
2.08702 | + | 5.72384i | 0.0663969 | + | 0.182100i | |||||
13.3661i | 0.425017i | |||||||||
0 | 0 | |||||||||
− | 26.5873i | − | 0.844575i | −0.906462 | − | 0.422287i | ||||
0.906462 | − | 0.422287i | ||||||||
−13.2264 | + | 42.1589i | −0.419937 | + | 1.33855i | |||||
0 | 0 | |||||||||
9.67331 | + | 2.14162i | 0.306819 | + | 0.0679280i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
2.47252 | + | 2.47252i | 0.0783054 | + | 0.0783054i | 0.745175 | − | 0.666869i | ||
−0.666869 | + | 0.745175i | ||||||||
14.9500 | − | 9.53021i | 0.473234 | − | 0.301674i | |||||
0 | 0 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 900.2.k.n.307.2 | 12 | ||
3.2 | odd | 2 | 300.2.j.d.7.5 | 12 | |||
4.3 | odd | 2 | inner | 900.2.k.n.307.5 | 12 | ||
5.2 | odd | 4 | 180.2.k.e.163.2 | 12 | |||
5.3 | odd | 4 | inner | 900.2.k.n.343.5 | 12 | ||
5.4 | even | 2 | 180.2.k.e.127.5 | 12 | |||
12.11 | even | 2 | 300.2.j.d.7.2 | 12 | |||
15.2 | even | 4 | 60.2.j.a.43.5 | yes | 12 | ||
15.8 | even | 4 | 300.2.j.d.43.2 | 12 | |||
15.14 | odd | 2 | 60.2.j.a.7.2 | ✓ | 12 | ||
20.3 | even | 4 | inner | 900.2.k.n.343.2 | 12 | ||
20.7 | even | 4 | 180.2.k.e.163.5 | 12 | |||
20.19 | odd | 2 | 180.2.k.e.127.2 | 12 | |||
60.23 | odd | 4 | 300.2.j.d.43.5 | 12 | |||
60.47 | odd | 4 | 60.2.j.a.43.2 | yes | 12 | ||
60.59 | even | 2 | 60.2.j.a.7.5 | yes | 12 | ||
120.29 | odd | 2 | 960.2.w.g.127.2 | 12 | |||
120.59 | even | 2 | 960.2.w.g.127.5 | 12 | |||
120.77 | even | 4 | 960.2.w.g.703.5 | 12 | |||
120.107 | odd | 4 | 960.2.w.g.703.2 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
60.2.j.a.7.2 | ✓ | 12 | 15.14 | odd | 2 | ||
60.2.j.a.7.5 | yes | 12 | 60.59 | even | 2 | ||
60.2.j.a.43.2 | yes | 12 | 60.47 | odd | 4 | ||
60.2.j.a.43.5 | yes | 12 | 15.2 | even | 4 | ||
180.2.k.e.127.2 | 12 | 20.19 | odd | 2 | |||
180.2.k.e.127.5 | 12 | 5.4 | even | 2 | |||
180.2.k.e.163.2 | 12 | 5.2 | odd | 4 | |||
180.2.k.e.163.5 | 12 | 20.7 | even | 4 | |||
300.2.j.d.7.2 | 12 | 12.11 | even | 2 | |||
300.2.j.d.7.5 | 12 | 3.2 | odd | 2 | |||
300.2.j.d.43.2 | 12 | 15.8 | even | 4 | |||
300.2.j.d.43.5 | 12 | 60.23 | odd | 4 | |||
900.2.k.n.307.2 | 12 | 1.1 | even | 1 | trivial | ||
900.2.k.n.307.5 | 12 | 4.3 | odd | 2 | inner | ||
900.2.k.n.343.2 | 12 | 20.3 | even | 4 | inner | ||
900.2.k.n.343.5 | 12 | 5.3 | odd | 4 | inner | ||
960.2.w.g.127.2 | 12 | 120.29 | odd | 2 | |||
960.2.w.g.127.5 | 12 | 120.59 | even | 2 | |||
960.2.w.g.703.2 | 12 | 120.107 | odd | 4 | |||
960.2.w.g.703.5 | 12 | 120.77 | even | 4 |