Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [800,2,Mod(63,800)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(800, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 0, 19]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("800.63");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 800.bq (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 | 223.1 | ||
Character | 800.223 | ||
Dual form | 800.2.bq.d.287.1 |
-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 | |||||||||
−1.46455 | − | 2.87435i | −0.845561 | − | 1.65951i | −0.747437 | − | 0.664333i | ||
−0.0981245 | − | 0.995174i | ||||||||
0 | 0 | |||||||||
−1.81895 | + | 1.30054i | −0.813461 | + | 0.581619i | |||||
0 | 0 | |||||||||
−2.79469 | − | 2.79469i | −1.05629 | − | 1.05629i | −0.998318 | − | 0.0579747i | ||
−0.0579747 | − | 0.998318i | ||||||||
0 | 0 | |||||||||
−4.35362 | + | 5.99224i | −1.45121 | + | 1.99741i | |||||
0 | 0 | |||||||||
−1.60428 | − | 2.20810i | −0.483709 | − | 0.665768i | 0.495504 | − | 0.868606i | ||
−0.979212 | + | 0.202838i | ||||||||
0 | 0 | |||||||||
−0.689899 | − | 4.35585i | −0.191343 | − | 1.20809i | −0.877116 | − | 0.480279i | ||
0.685772 | − | 0.727816i | ||||||||
0 | 0 | |||||||||
6.40217 | + | 3.32360i | 1.65303 | + | 0.858150i | |||||
0 | 0 | |||||||||
4.55876 | + | 2.32280i | 1.10566 | + | 0.563363i | 0.908869 | − | 0.417082i | ||
0.196793 | + | 0.980445i | ||||||||
0 | 0 | |||||||||
0.743109 | + | 2.28705i | 0.170481 | + | 0.524686i | 0.999398 | − | 0.0346847i | ||
−0.828917 | + | 0.559371i | ||||||||
0 | 0 | |||||||||
−3.93994 | + | 12.1259i | −0.859765 | + | 2.64609i | |||||
0 | 0 | |||||||||
−0.877961 | + | 5.54323i | −0.183067 | + | 1.15584i | 0.709425 | + | 0.704781i | ||
−0.892493 | + | 0.451062i | ||||||||
0 | 0 | |||||||||
1.61719 | − | 4.73125i | 0.323438 | − | 0.946249i | |||||
0 | 0 | |||||||||
14.0412 | + | 2.22390i | 2.70223 | + | 0.427990i | |||||
0 | 0 | |||||||||
−6.14797 | − | 1.99760i | −1.14165 | − | 0.370944i | −0.323658 | − | 0.946174i | ||
−0.817992 | + | 0.575230i | ||||||||
0 | 0 | |||||||||
−3.04391 | + | 0.989025i | −0.546702 | + | 0.177634i | −0.569329 | − | 0.822110i | ||
0.0226272 | + | 0.999744i | ||||||||
0 | 0 | |||||||||
−3.99731 | + | 7.84515i | −0.695842 | + | 1.36567i | |||||
0 | 0 | |||||||||
8.71801 | + | 1.44881i | 1.47361 | + | 0.244893i | |||||
0 | 0 | |||||||||
6.09192 | − | 0.964866i | 1.00151 | − | 0.158623i | 0.365914 | − | 0.930649i | ||
0.635591 | + | 0.772026i | ||||||||
0 | 0 | |||||||||
−11.5098 | + | 8.36239i | −1.84305 | + | 1.33905i | |||||
0 | 0 | |||||||||
5.32289 | + | 3.86731i | 0.831296 | + | 0.603972i | 0.919926 | − | 0.392093i | ||
−0.0886296 | + | 0.996065i | ||||||||
0 | 0 | |||||||||
2.82738 | − | 2.82738i | 0.431172 | − | 0.431172i | −0.457855 | − | 0.889027i | ||
0.889027 | + | 0.457855i | ||||||||
0 | 0 | |||||||||
0.125886 | − | 16.5617i | 0.0187659 | − | 2.46887i | |||||
0 | 0 | |||||||||
1.10121 | − | 0.561093i | 0.160628 | − | 0.0818439i | −0.371829 | − | 0.928301i | ||
0.532456 | + | 0.846458i | ||||||||
0 | 0 | |||||||||
8.62056i | 1.23151i | |||||||||
0 | 0 | |||||||||
− | 16.5054i | − | 2.31121i | |||||||
0 | 0 | |||||||||
−4.64134 | + | 2.36488i | −0.637537 | + | 0.324842i | −0.742711 | − | 0.669612i | ||
0.105173 | + | 0.994454i | ||||||||
0 | 0 | |||||||||
5.78984 | + | 1.93001i | 0.780702 | + | 0.260242i | |||||
0 | 0 | |||||||||
5.48547 | − | 5.48547i | 0.726569 | − | 0.726569i | |||||
0 | 0 | |||||||||
−0.214752 | − | 0.156027i | −0.0279584 | − | 0.0203129i | 0.573718 | − | 0.819053i | ||
−0.601677 | + | 0.798740i | ||||||||
0 | 0 | |||||||||
0.418495 | − | 0.304055i | 0.0535828 | − | 0.0389302i | −0.560671 | − | 0.828038i | ||
0.614254 | + | 0.789108i | ||||||||
0 | 0 | |||||||||
28.9134 | − | 4.57944i | 3.64275 | − | 0.576955i | |||||
0 | 0 | |||||||||
6.91985 | + | 7.02585i | 0.858301 | + | 0.871449i | |||||
0 | 0 | |||||||||
−2.64400 | + | 5.18915i | −0.323017 | + | 0.633956i | −0.994225 | − | 0.107313i | ||
0.671209 | + | 0.741268i | ||||||||
0 | 0 | |||||||||
17.2190 | − | 5.59479i | 2.07292 | − | 0.673534i | |||||
0 | 0 | |||||||||
−2.21412 | − | 0.719412i | −0.262768 | − | 0.0853785i | 0.174670 | − | 0.984627i | ||
−0.437438 | + | 0.899249i | ||||||||
0 | 0 | |||||||||
−10.4754 | − | 1.65914i | −1.22605 | − | 0.194188i | −0.490371 | − | 0.871514i | ||
−0.735683 | + | 0.677326i | ||||||||
0 | 0 | |||||||||
−15.9677 | + | 2.28079i | −1.84379 | + | 0.263363i | |||||
0 | 0 | |||||||||
−1.68749 | + | 10.6544i | −0.192308 | + | 1.21418i | |||||
0 | 0 | |||||||||
−3.73675 | + | 11.5005i | −0.420418 | + | 1.29391i | 0.486897 | + | 0.873459i | ||
−0.907314 | + | 0.420453i | ||||||||
0 | 0 | |||||||||
−7.30530 | − | 22.4834i | −0.811700 | − | 2.49816i | |||||
0 | 0 | |||||||||
5.80791 | + | 2.95928i | 0.637501 | + | 0.324823i | 0.742696 | − | 0.669629i | ||
−0.105195 | + | 0.994452i | ||||||||
0 | 0 | |||||||||
−11.3131 | + | 1.70377i | −1.22708 | + | 0.184800i | |||||
0 | 0 | |||||||||
3.26225 | + | 20.5970i | 0.349750 | + | 2.20823i | |||||
0 | 0 | |||||||||
7.20569 | + | 9.91778i | 0.763802 | + | 1.05128i | 0.996888 | + | 0.0788270i | ||
−0.233086 | + | 0.972456i | ||||||||
0 | 0 | |||||||||
−10.2452 | + | 14.1013i | −1.07399 | + | 1.47822i | |||||
0 | 0 | |||||||||
7.30077 | + | 7.30077i | 0.757055 | + | 0.757055i | |||||
0 | 0 | |||||||||
−4.32609 | − | 3.19361i | −0.443847 | − | 0.327657i | |||||
0 | 0 | |||||||||
−4.94401 | − | 9.70316i | −0.501988 | − | 0.985206i | −0.993446 | − | 0.114305i | ||
0.491458 | − | 0.870901i | ||||||||
0 | 0 | |||||||||
20.2159 | 2.03177 | |||||||||
0 | 0 | |||||||||
−5.20311 | −0.517729 | −0.258864 | − | 0.965914i | ||||||
−0.258864 | + | 0.965914i | ||||||||
0 | 0 | |||||||||
−3.77970 | − | 7.41808i | −0.372425 | − | 0.730925i | 0.626394 | − | 0.779506i | ||
−0.998819 | + | 0.0485812i | ||||||||
0 | 0 | |||||||||
−8.60363 | − | 27.1805i | −0.839628 | − | 2.65254i | |||||
0 | 0 | |||||||||
−12.3186 | − | 12.3186i | −1.19088 | − | 1.19088i | −0.976819 | − | 0.214065i | ||
−0.214065 | − | 0.976819i | ||||||||
0 | 0 | |||||||||
−3.85539 | + | 5.30648i | −0.369279 | + | 0.508269i | −0.952705 | − | 0.303898i | ||
0.583426 | + | 0.812166i | ||||||||
0 | 0 | |||||||||
−11.6953 | − | 16.0972i | −1.11007 | − | 1.52788i | |||||
0 | 0 | |||||||||
0.987363 | + | 6.23396i | 0.0928833 | + | 0.586442i | 0.989601 | + | 0.143839i | ||
−0.896718 | + | 0.442603i | ||||||||
0 | 0 | |||||||||
−5.61222 | − | 11.2247i | −0.523342 | − | 1.04671i | |||||
0 | 0 | |||||||||
29.1048 | + | 14.8297i | 2.69074 | + | 1.37100i | |||||
0 | 0 | |||||||||
−6.24880 | − | 19.2318i | −0.572827 | − | 1.76298i | |||||
0 | 0 | |||||||||
1.09718 | − | 3.37679i | 0.0997441 | − | 0.306981i | |||||
0 | 0 | |||||||||
3.32033 | − | 20.9637i | 0.299384 | − | 1.89024i | |||||
0 | 0 | |||||||||
3.21157 | + | 10.7091i | 0.287252 | + | 0.957855i | |||||
0 | 0 | |||||||||
2.85861 | + | 0.452759i | 0.253660 | + | 0.0401758i | 0.281970 | − | 0.959423i | ||
−0.0283092 | + | 0.999599i | ||||||||
0 | 0 | |||||||||
−12.2677 | − | 3.98603i | −1.08012 | − | 0.350951i | |||||
0 | 0 | |||||||||
2.76968 | − | 0.899925i | 0.241988 | − | 0.0786268i | −0.185512 | − | 0.982642i | ||
0.427500 | + | 0.904015i | ||||||||
0 | 0 | |||||||||
4.31485 | − | 8.46836i | 0.374145 | − | 0.734300i | |||||
0 | 0 | |||||||||
−28.4325 | + | 14.2159i | −2.44708 | + | 1.22351i | |||||
0 | 0 | |||||||||
−3.12844 | + | 0.495496i | −0.267280 | + | 0.0423331i | −0.288636 | − | 0.957439i | ||
0.0213557 | + | 0.999772i | ||||||||
0 | 0 | |||||||||
−18.4701 | + | 13.4193i | −1.56661 | + | 1.13821i | −0.636298 | + | 0.771444i | ||
−0.930313 | + | 0.366766i | ||||||||
0 | 0 | |||||||||
−3.22556 | − | 2.34350i | −0.271641 | − | 0.197359i | |||||
0 | 0 | |||||||||
−8.51137 | + | 8.51137i | −0.711756 | + | 0.711756i | |||||
0 | 0 | |||||||||
13.7808 | − | 4.36214i | 1.14444 | − | 0.362256i | |||||
0 | 0 | |||||||||
24.7785 | − | 12.6253i | 2.04370 | − | 1.04132i | |||||
0 | 0 | |||||||||
7.69000i | 0.629989i | 0.949094 | + | 0.314994i | ||||||
−0.949094 | + | 0.314994i | ||||||||
0 | 0 | |||||||||
− | 7.50362i | − | 0.610636i | −0.952250 | − | 0.305318i | ||||
0.952250 | − | 0.305318i | ||||||||
0 | 0 | |||||||||
−33.7659 | + | 17.2046i | −2.72981 | + | 1.39091i | |||||
0 | 0 | |||||||||
4.25046 | − | 5.75771i | 0.341405 | − | 0.462471i | |||||
0 | 0 | |||||||||
−12.3164 | + | 12.3164i | −0.982952 | + | 0.982952i | −0.999857 | − | 0.0169050i | ||
0.0169050 | + | 0.999857i | ||||||||
0 | 0 | |||||||||
13.5950 | + | 9.87735i | 1.07815 | + | 0.783324i | |||||
0 | 0 | |||||||||
17.9452 | − | 13.0380i | 1.41428 | − | 1.02754i | |||||
0 | 0 | |||||||||
−13.1012 | + | 2.07502i | −1.02616 | + | 0.162529i | −0.646753 | − | 0.762700i | ||
−0.379412 | + | 0.925228i | ||||||||
0 | 0 | |||||||||
−2.93202 | − | 19.4686i | −0.228257 | − | 1.51563i | |||||
0 | 0 | |||||||||
−2.99484 | + | 5.87769i | −0.231747 | + | 0.454830i | −0.977370 | − | 0.211539i | ||
0.745622 | + | 0.666369i | ||||||||
0 | 0 | |||||||||
−6.13372 | + | 1.99297i | −0.471824 | + | 0.153305i | |||||
0 | 0 | |||||||||
−16.9398 | − | 5.50407i | −1.29542 | − | 0.420907i | |||||
0 | 0 | |||||||||
9.68291 | + | 1.53362i | 0.736178 | + | 0.116599i | 0.513254 | − | 0.858237i | ||
0.222924 | + | 0.974836i | ||||||||
0 | 0 | |||||||||
−17.7419 | + | 8.70281i | −1.34116 | + | 0.657870i | |||||
0 | 0 | |||||||||
−0.133959 | + | 0.845783i | −0.0100690 | + | 0.0635729i | |||||
0 | 0 | |||||||||
−4.31387 | + | 13.2767i | −0.322433 | + | 0.992348i | 0.650152 | + | 0.759804i | ||
−0.972586 | + | 0.232544i | ||||||||
0 | 0 | |||||||||
3.79297 | + | 11.6736i | 0.281929 | + | 0.867688i | 0.987302 | + | 0.158852i | ||
−0.705373 | + | 0.708836i | ||||||||
0 | 0 | |||||||||
−1.48687 | − | 0.757598i | −0.109913 | − | 0.0560032i | |||||
0 | 0 | |||||||||
−9.82608 | + | 9.67783i | −0.722428 | + | 0.711528i | |||||
0 | 0 | |||||||||
−2.18454 | − | 13.7926i | −0.159749 | − | 1.00862i | |||||
0 | 0 | |||||||||
−33.0256 | − | 45.4558i | −2.40226 | − | 3.30642i | |||||
0 | 0 | |||||||||
5.62078 | − | 7.73634i | 0.406705 | − | 0.559782i | −0.555706 | − | 0.831379i | ||
0.962411 | + | 0.271597i | ||||||||
0 | 0 | |||||||||
−5.15678 | − | 5.15678i | −0.371193 | − | 0.371193i | 0.496719 | − | 0.867912i | ||
−0.867912 | + | 0.496719i | ||||||||
0 | 0 | |||||||||
10.0603 | − | 30.1798i | 0.720430 | − | 2.16122i | |||||
0 | 0 | |||||||||
−1.57698 | − | 3.09500i | −0.112355 | − | 0.220510i | 0.827981 | − | 0.560756i | ||
−0.940336 | + | 0.340246i | ||||||||
0 | 0 | |||||||||
−7.93232 | −0.562307 | −0.281154 | − | 0.959663i | ||||||
−0.281154 | + | 0.959663i | ||||||||
0 | 0 | |||||||||
18.7877 | 1.32518 | |||||||||
0 | 0 | |||||||||
11.5990 | + | 22.7643i | 0.814090 | + | 1.59774i | |||||
0 | 0 | |||||||||
−14.7117 | − | 0.111824i | −1.02751 | − | 0.00781012i | |||||
0 | 0 | |||||||||
−29.3940 | − | 29.3940i | −2.04303 | − | 2.04303i | |||||
0 | 0 | |||||||||
3.85790 | − | 5.30994i | 0.266856 | − | 0.367296i | |||||
0 | 0 | |||||||||
12.3726 | + | 17.0295i | 0.851768 | + | 1.17236i | 0.983471 | + | 0.181068i | ||
−0.131703 | + | 0.991289i | ||||||||
0 | 0 | |||||||||
1.17486 | + | 7.41778i | 0.0805002 | + | 0.508258i | |||||
0 | 0 | |||||||||
−1.46576 | + | 8.82001i | −0.0999638 | + | 0.601519i | |||||
0 | 0 | |||||||||
11.2708 | + | 5.74275i | 0.765111 | + | 0.389843i | |||||
0 | 0 | |||||||||
10.5729 | + | 32.5399i | 0.714448 | + | 2.19884i | |||||
0 | 0 | |||||||||
6.97270 | − | 21.4598i | 0.469035 | − | 1.44354i | |||||
0 | 0 | |||||||||
−1.07738 | + | 6.80229i | −0.0721465 | + | 0.455515i | 0.924996 | + | 0.379976i | ||
−0.997143 | + | 0.0755389i | ||||||||
0 | 0 | |||||||||
21.3101 | + | 30.2886i | 1.42067 | + | 2.01924i | |||||
0 | 0 | |||||||||
−16.2657 | − | 2.57623i | −1.07959 | − | 0.170991i | −0.408791 | − | 0.912628i | ||
−0.670801 | + | 0.741637i | ||||||||
0 | 0 | |||||||||
−11.5696 | − | 3.75919i | −0.764541 | − | 0.248414i | −0.0993145 | − | 0.995056i | ||
−0.665226 | + | 0.746642i | ||||||||
0 | 0 | |||||||||
33.0960 | − | 10.7535i | 2.17756 | − | 0.707531i | |||||
0 | 0 | |||||||||
12.0215 | − | 23.5935i | 0.787552 | − | 1.54566i | −0.0496507 | − | 0.998767i | ||
0.837203 | − | 0.546892i | ||||||||
0 | 0 | |||||||||
−1.27332 | + | 2.45277i | −0.0830624 | + | 0.160001i | |||||
0 | 0 | |||||||||
38.5293 | − | 6.10244i | 2.50275 | − | 0.396396i | |||||
0 | 0 | |||||||||
17.2941 | − | 12.5649i | 1.11866 | − | 0.812758i | 0.134659 | − | 0.990892i | ||
0.984006 | + | 0.178134i | ||||||||
0 | 0 | |||||||||
11.6753 | + | 8.48263i | 0.752075 | + | 0.546414i | 0.896469 | − | 0.443106i | ||
−0.144394 | + | 0.989520i | ||||||||
0 | 0 | |||||||||
−23.7690 | + | 23.7690i | −1.52479 | + | 1.52479i | |||||
0 | 0 | |||||||||
−11.2114 | − | 15.6804i | −0.716269 | − | 1.00178i | |||||
0 | 0 | |||||||||
9.44939 | − | 4.81471i | 0.601250 | − | 0.306352i | |||||
0 | 0 | |||||||||
− | 21.0280i | − | 1.33260i | |||||||
0 | 0 | |||||||||
8.72581i | 0.550768i | 0.961334 | + | 0.275384i | ||||||
−0.961334 | + | 0.275384i | ||||||||
0 | 0 | |||||||||
13.6485 | − | 6.95426i | 0.858074 | − | 0.437211i | |||||
0 | 0 | |||||||||
21.4659 | + | 30.0225i | 1.34424 | + | 1.88008i | |||||
0 | 0 | |||||||||
−11.5328 | + | 11.5328i | −0.719397 | + | 0.719397i | −0.968482 | − | 0.249084i | ||
0.249084 | + | 0.968482i | ||||||||
0 | 0 | |||||||||
−19.7215 | − | 14.3285i | −1.22544 | − | 0.890331i | |||||
0 | 0 | |||||||||
38.7360 | − | 28.1433i | 2.39770 | − | 1.74203i | |||||
0 | 0 | |||||||||
18.1552 | − | 2.87549i | 1.11949 | − | 0.177311i | 0.430860 | − | 0.902419i | ||
0.688635 | + | 0.725108i | ||||||||
0 | 0 | |||||||||
5.36677 | − | 10.3379i | 0.329678 | − | 0.635050i | |||||
0 | 0 | |||||||||
17.9541 | − | 35.2368i | 1.09877 | − | 2.15646i | |||||
0 | 0 | |||||||||
−11.0677 | + | 3.59613i | −0.674812 | + | 0.219260i | −0.626323 | − | 0.779564i | ||
−0.0484895 | + | 0.998824i | ||||||||
0 | 0 | |||||||||
−7.19982 | − | 2.33936i | −0.437358 | − | 0.142106i | 0.0820585 | − | 0.996628i | ||
−0.519416 | + | 0.854521i | ||||||||
0 | 0 | |||||||||
55.5367 | + | 8.79615i | 3.36123 | + | 0.532367i | |||||
0 | 0 | |||||||||
−13.0415 | + | 4.01932i | −0.786433 | + | 0.242374i | |||||
0 | 0 | |||||||||
3.99596 | − | 25.2295i | 0.240094 | − | 1.51589i | −0.513234 | − | 0.858249i | ||
0.753328 | − | 0.657645i | ||||||||
0 | 0 | |||||||||
7.32552 | − | 22.5456i | 0.438568 | − | 1.34977i | |||||
0 | 0 | |||||||||
−4.41297 | − | 13.5817i | −0.263256 | − | 0.810217i | −0.992090 | − | 0.125527i | ||
0.728835 | − | 0.684690i | ||||||||
0 | 0 | |||||||||
1.41981 | + | 0.723431i | 0.0843991 | + | 0.0430035i | 0.495681 | − | 0.868505i | ||
−0.411281 | + | 0.911508i | ||||||||
0 | 0 | |||||||||
−2.84375 | + | 17.1119i | −0.168449 | + | 1.01362i | |||||
0 | 0 | |||||||||
−4.06791 | − | 25.6837i | −0.240121 | − | 1.51606i | |||||
0 | 0 | |||||||||
5.39453 | + | 7.42494i | 0.317325 | + | 0.436761i | |||||
0 | 0 | |||||||||
−20.6495 | + | 28.4216i | −1.21050 | + | 1.66610i | |||||
0 | 0 | |||||||||
12.2420 | + | 12.2420i | 0.715187 | + | 0.715187i | 0.967615 | − | 0.252429i | ||
−0.252429 | + | 0.967615i | ||||||||
0 | 0 | |||||||||
0.593543 | + | 0.00451154i | 0.0345574 | + | 0.000262672i | |||||
0 | 0 | |||||||||
−17.6154 | − | 34.5721i | −1.02215 | − | 2.00608i | |||||
0 | 0 | |||||||||
24.7512 | 1.43140 | |||||||||
0 | 0 | |||||||||
−15.8033 | −0.910888 | |||||||||
0 | 0 | |||||||||
7.62024 | + | 14.9556i | 0.437771 | + | 0.859175i | |||||
0 | 0 | |||||||||
−0.365789 | + | 1.09733i | −0.0209450 | + | 0.0628330i | |||||
0 | 0 | |||||||||
10.0589 | + | 10.0589i | 0.574089 | + | 0.574089i | 0.933269 | − | 0.359179i | ||
−0.359179 | + | 0.933269i | ||||||||
0 | 0 | |||||||||
−15.7866 | + | 21.7284i | −0.898068 | + | 1.23608i | |||||
0 | 0 | |||||||||
6.07301 | + | 8.35878i | 0.344369 | + | 0.473983i | 0.945711 | − | 0.325009i | ||
−0.601342 | + | 0.798991i | ||||||||
0 | 0 | |||||||||
2.55644 | + | 16.1407i | 0.144498 | + | 0.912326i | 0.948288 | + | 0.317412i | ||
−0.803789 | + | 0.594914i | ||||||||
0 | 0 | |||||||||
−46.6365 | + | 45.9329i | −2.62767 | + | 2.58802i | |||||
0 | 0 | |||||||||
−29.7982 | − | 15.1829i | −1.67363 | − | 0.852758i | −0.992727 | − | 0.120387i | ||
−0.680906 | − | 0.732371i | ||||||||
0 | 0 | |||||||||
5.45217 | + | 16.7801i | 0.305263 | + | 0.939503i | |||||
0 | 0 | |||||||||
−17.3667 | + | 53.4493i | −0.969316 | + | 2.98325i | |||||
0 | 0 | |||||||||
−1.92472 | + | 12.1522i | −0.107095 | + | 0.676168i | |||||
0 | 0 | |||||||||
−21.7243 | − | 3.78016i | −1.20505 | − | 0.209686i | |||||
0 | 0 | |||||||||
20.8991 | + | 3.31009i | 1.15572 | + | 0.183049i | |||||
0 | 0 | |||||||||
−4.64561 | − | 1.50945i | −0.256121 | − | 0.0832187i | |||||
0 | 0 | |||||||||
−3.88228 | + | 1.26143i | −0.213390 | + | 0.0693345i | −0.413761 | − | 0.910386i | ||
0.200371 | + | 0.979720i | ||||||||
0 | 0 | |||||||||
−20.7402 | + | 40.7049i | −1.13655 | + | 2.23061i | |||||
0 | 0 | |||||||||
−1.93937 | − | 12.8775i | −0.105959 | − | 0.703571i | |||||
0 | 0 | |||||||||
−28.5845 | + | 4.52734i | −1.55710 | + | 0.246620i | −0.874811 | − | 0.484465i | ||
−0.682286 | + | 0.731085i | ||||||||
0 | 0 | |||||||||
16.4726 | − | 11.9680i | 0.894666 | − | 0.650013i | |||||
0 | 0 | |||||||||
7.06715 | + | 5.13458i | 0.382708 | + | 0.278053i | |||||
0 | 0 | |||||||||
4.52896 | − | 4.52896i | 0.244541 | − | 0.244541i | |||||
0 | 0 | |||||||||
−24.0443 | + | 32.5707i | −1.29450 | + | 1.75355i | |||||
0 | 0 | |||||||||
23.8682 | − | 12.1615i | 1.28131 | − | 0.652862i | 0.325141 | − | 0.945666i | ||
0.956173 | + | 0.292804i | ||||||||
0 | 0 | |||||||||
− | 9.07661i | − | 0.485860i | −0.970044 | − | 0.242930i | ||||
0.970044 | − | 0.242930i | ||||||||
0 | 0 | |||||||||
− | 62.6955i | − | 3.34644i | |||||||
0 | 0 | |||||||||
−2.80378 | + | 1.42860i | −0.149230 | + | 0.0760364i | −0.527011 | − | 0.849859i | ||
0.377781 | + | 0.925895i | ||||||||
0 | 0 | |||||||||
4.96301 | − | 1.57098i | 0.263409 | − | 0.0833788i | |||||
0 | 0 | |||||||||
−46.1273 | + | 46.1273i | −2.44132 | + | 2.44132i | |||||
0 | 0 | |||||||||
−16.3120 | − | 11.8514i | −0.860914 | − | 0.625490i | 0.0672196 | − | 0.997738i | ||
−0.928133 | + | 0.372248i | ||||||||
0 | 0 | |||||||||
10.6929 | − | 7.76886i | 0.562785 | − | 0.408887i | |||||
0 | 0 | |||||||||
−11.3130 | + | 1.79180i | −0.593776 | + | 0.0940449i | |||||
0 | 0 | |||||||||
21.2121 | − | 10.6058i | 1.11029 | − | 0.555132i | |||||
0 | 0 | |||||||||
−15.3915 | + | 30.2076i | −0.803431 | + | 1.57682i | 0.0133758 | + | 0.999911i | ||
−0.816807 | + | 0.576911i | ||||||||
0 | 0 | |||||||||
−46.3477 | + | 15.0593i | −2.41276 | + | 0.783954i | |||||
0 | 0 | |||||||||
19.5802 | + | 6.36200i | 1.01655 | + | 0.330298i | |||||
0 | 0 | |||||||||
−0.0157471 | − | 0.00249409i | −0.000815354 | − | 0.000129139i | 0.156027 | − | 0.987753i | ||
−0.156842 | + | 0.987624i | ||||||||
0 | 0 | |||||||||
26.0783 | − | 24.9153i | 1.34668 | − | 1.28662i | |||||
0 | 0 | |||||||||
−4.45975 | + | 28.1578i | −0.229689 | + | 1.45020i | |||||
0 | 0 | |||||||||
9.53680 | − | 29.3513i | 0.489873 | − | 1.50767i | −0.334925 | − | 0.942245i | ||
0.824798 | − | 0.565428i | ||||||||
0 | 0 | |||||||||
−2.88520 | − | 8.87973i | −0.147813 | − | 0.454922i | |||||
0 | 0 | |||||||||
18.6404 | + | 9.49776i | 0.952480 | + | 0.485313i | 0.859939 | − | 0.510396i | ||
0.0925405 | + | 0.995709i | ||||||||
0 | 0 | |||||||||
−10.7870 | − | 21.5746i | −0.549758 | − | 1.09954i | |||||
0 | 0 | |||||||||
4.63301 | + | 29.2517i | 0.235509 | + | 1.48695i | |||||
0 | 0 | |||||||||
20.0307 | + | 27.5699i | 1.01560 | + | 1.39785i | 0.915245 | + | 0.402898i | ||
0.100353 | + | 0.994952i | ||||||||
0 | 0 | |||||||||
−16.8782 | + | 23.2309i | −0.853570 | + | 1.17484i | |||||
0 | 0 | |||||||||
−6.64305 | − | 6.64305i | −0.335098 | − | 0.335098i | |||||
0 | 0 | |||||||||
−8.15993 | − | 25.7788i | −0.410571 | − | 1.29707i | |||||
0 | 0 | |||||||||
0.451213 | + | 0.885556i | 0.0226457 | + | 0.0444448i | 0.902052 | − | 0.431627i | ||
−0.879406 | + | 0.476072i | ||||||||
0 | 0 | |||||||||
−30.6604 | −1.53494 | |||||||||
0 | 0 | |||||||||
18.8940 | 0.943521 | 0.471761 | − | 0.881727i | ||||||
0.471761 | + | 0.881727i | ||||||||
0 | 0 | |||||||||
6.40803 | + | 12.5765i | 0.319207 | + | 0.626478i | |||||
0 | 0 | |||||||||
42.5286 | + | 31.3955i | 2.11326 | + | 1.56005i | |||||
0 | 0 | |||||||||
−11.9037 | − | 11.9037i | −0.590043 | − | 0.590043i | |||||
0 | 0 | |||||||||
22.9396 | − | 31.5737i | 1.13429 | − | 1.56122i | 0.354638 | − | 0.935004i | ||
0.779652 | − | 0.626213i | ||||||||
0 | 0 | |||||||||
6.00600 | + | 8.26654i | 0.296254 | + | 0.407759i | |||||
0 | 0 | |||||||||
0.164120 | + | 1.03621i | 0.00807580 | + | 0.0509886i | |||||
0 | 0 | |||||||||
−14.4130 | + | 2.17063i | −0.707506 | + | 0.106552i | |||||
0 | 0 | |||||||||
65.6222 | + | 33.4362i | 3.21353 | + | 1.63738i | |||||
0 | 0 | |||||||||
4.82220 | + | 14.8412i | 0.235580 | + | 0.725041i | 0.997044 | + | 0.0768334i | ||
−0.761464 | + | 0.648207i | ||||||||
0 | 0 | |||||||||
−4.85470 | + | 14.9412i | −0.236604 | + | 0.728192i | 0.760301 | + | 0.649571i | ||
−0.996905 | + | 0.0786205i | ||||||||
0 | 0 | |||||||||
−1.43203 | + | 9.04148i | −0.0696277 | + | 0.439612i | |||||
0 | 0 | |||||||||
18.3622 | − | 17.8122i | 0.890695 | − | 0.864019i | |||||
0 | 0 | |||||||||
−2.01930 | − | 0.319826i | −0.0977209 | − | 0.0154775i | |||||
0 | 0 | |||||||||
36.9300 | + | 11.9993i | 1.78300 | + | 0.579331i | |||||
0 | 0 | |||||||||
−34.4523 | + | 11.1942i | −1.65951 | + | 0.539207i | −0.980769 | − | 0.195173i | ||
−0.678738 | + | 0.734380i | ||||||||
0 | 0 | |||||||||
−4.66192 | + | 9.14954i | −0.224038 | + | 0.439699i | −0.975476 | − | 0.220104i | ||
0.751439 | + | 0.659803i | ||||||||
0 | 0 | |||||||||
−32.7211 | − | 33.2223i | −1.56886 | − | 1.59289i | |||||
0 | 0 | |||||||||
−13.3301 | + | 2.11128i | −0.637664 | + | 0.100996i | |||||
0 | 0 | |||||||||
5.27551 | − | 3.83288i | 0.251786 | − | 0.182933i | −0.454732 | − | 0.890628i | ||
0.706518 | + | 0.707695i | ||||||||
0 | 0 | |||||||||
−51.6565 | − | 37.5306i | −2.45983 | − | 1.78717i | |||||
0 | 0 | |||||||||
21.4275 | − | 21.4275i | 1.01805 | − | 1.01805i | 0.0182176 | − | 0.999834i | ||
0.999834 | − | 0.0182176i | ||||||||
0 | 0 | |||||||||
−26.0053 | − | 8.66871i | −1.23277 | − | 0.410936i | |||||
0 | 0 | |||||||||
22.1037 | − | 11.2624i | 1.04547 | − | 0.532694i | |||||
0 | 0 | |||||||||
− | 26.5999i | − | 1.25533i | −0.778485 | − | 0.627663i | ||||
0.778485 | − | 0.627663i | ||||||||
0 | 0 | |||||||||
− | 17.9577i | − | 0.845597i | |||||||
0 | 0 | |||||||||
−21.5680 | + | 10.9895i | −1.01335 | + | 0.516330i | |||||
0 | 0 | |||||||||
0.296241 | − | 38.9739i | 0.0138880 | − | 1.82712i | |||||
0 | 0 | |||||||||
−28.1522 | + | 28.1522i | −1.31690 | + | 1.31690i | −0.400687 | + | 0.916215i | ||
−0.916215 | + | 0.400687i | ||||||||
0 | 0 | |||||||||
58.8447 | + | 42.7532i | 2.74663 | + | 1.99555i | |||||
0 | 0 | |||||||||
−1.83986 | + | 1.33674i | −0.0856908 | + | 0.0622580i | −0.629806 | − | 0.776753i | ||
0.544115 | + | 0.839011i | ||||||||
0 | 0 | |||||||||
32.0023 | − | 5.06867i | 1.48728 | − | 0.235561i | 0.640684 | − | 0.767805i | ||
0.846591 | + | 0.532244i | ||||||||
0 | 0 | |||||||||
−22.7747 | − | 3.78483i | −1.05615 | − | 0.175517i | |||||
0 | 0 | |||||||||
−11.7289 | + | 23.0192i | −0.542747 | + | 1.06520i | 0.442929 | + | 0.896556i | ||
−0.985677 | + | 0.168645i | ||||||||
0 | 0 | |||||||||
21.8912 | − | 7.11289i | 1.01084 | − | 0.328443i | |||||
0 | 0 | |||||||||
53.4395 | + | 17.3635i | 2.46236 | + | 0.800070i | |||||
0 | 0 | |||||||||
−10.7791 | − | 1.70724i | −0.495622 | − | 0.0784988i | |||||
0 | 0 | |||||||||
12.0224 | + | 0.182775i | 0.551624 | + | 0.00838630i | |||||
0 | 0 | |||||||||
6.03568 | − | 38.1078i | 0.276355 | − | 1.74484i | |||||
0 | 0 | |||||||||
−2.02478 | + | 6.23165i | −0.0925148 | + | 0.284731i | −0.986598 | − | 0.163170i | ||
0.894083 | + | 0.447901i | ||||||||
0 | 0 | |||||||||
−8.40562 | − | 25.8698i | −0.383263 | − | 1.17956i | |||||
0 | 0 | |||||||||
−63.7574 | − | 32.4860i | −2.90106 | − | 1.47817i | |||||
0 | 0 | |||||||||
21.6123 | + | 11.2197i | 0.981362 | + | 0.509462i | |||||
0 | 0 | |||||||||
−3.57636 | − | 22.5803i | −0.162061 | − | 1.02321i | −0.925890 | − | 0.377792i | ||
0.763830 | − | 0.645418i | ||||||||
0 | 0 | |||||||||
25.1518 | + | 34.6184i | 1.13740 | + | 1.56550i | |||||
0 | 0 | |||||||||
−10.8187 | + | 14.8906i | −0.488239 | + | 0.672004i | −0.980062 | − | 0.198692i | ||
0.491823 | + | 0.870695i | ||||||||
0 | 0 | |||||||||
−23.3871 | − | 23.3871i | −1.05330 | − | 1.05330i | |||||
0 | 0 | |||||||||
−36.7718 | + | 26.2916i | −1.65277 | + | 1.18172i | |||||
0 | 0 | |||||||||
4.17725 | + | 8.19831i | 0.187375 | + | 0.367745i | |||||
0 | 0 | |||||||||
−26.3658 | −1.18030 | −0.590148 | − | 0.807295i | ||||||
−0.590148 | + | 0.807295i | ||||||||
0 | 0 | |||||||||
21.2807 | 0.950750 | |||||||||
0 | 0 | |||||||||
3.47288 | + | 6.81591i | 0.154848 | + | 0.303907i | 0.955378 | − | 0.295387i | ||
−0.800530 | + | 0.599293i | ||||||||
0 | 0 | |||||||||
9.46422 | − | 6.76685i | 0.421152 | − | 0.301121i | |||||
0 | 0 | |||||||||
14.7116 | + | 14.7116i | 0.653367 | + | 0.653367i | |||||
0 | 0 | |||||||||
−15.3150 | + | 21.0793i | −0.678824 | + | 0.934321i | −0.999919 | − | 0.0127257i | ||
0.321095 | + | 0.947047i | ||||||||
0 | 0 | |||||||||
24.6387 | + | 33.9123i | 1.08995 | + | 1.50019i | |||||
0 | 0 | |||||||||
5.34794 | + | 33.7655i | 0.236117 | + | 1.49079i | |||||
0 | 0 | |||||||||
16.5226 | + | 8.57750i | 0.728073 | + | 0.377970i | |||||
0 | 0 | |||||||||
−3.00560 | − | 1.53143i | −0.132186 | − | 0.0673521i | |||||
0 | 0 | |||||||||
−9.77299 | − | 30.0782i | −0.428987 | − | 1.32028i | |||||
0 | 0 | |||||||||
−6.19545 | + | 19.0676i | −0.271428 | + | 0.835368i | 0.718715 | + | 0.695305i | ||
−0.990143 | + | 0.140063i | ||||||||
0 | 0 | |||||||||
1.37408 | − | 8.67559i | 0.0600843 | − | 0.379357i | −0.939262 | − | 0.343201i | ||
0.999346 | − | 0.0361559i | ||||||||
0 | 0 | |||||||||
50.9989 | + | 38.2507i | 2.22578 | + | 1.66940i | |||||
0 | 0 | |||||||||
−16.1738 | − | 2.56167i | −0.704540 | − | 0.111588i | |||||
0 | 0 | |||||||||
−8.08224 | − | 2.62608i | −0.351402 | − | 0.114177i | |||||
0 | 0 | |||||||||
1.86990 | − | 0.607566i | 0.0811466 | − | 0.0263661i | |||||
0 | 0 | |||||||||
13.1731 | − | 25.8538i | 0.570592 | − | 1.11985i | |||||
0 | 0 | |||||||||
38.4278 | + | 6.38615i | 1.66138 | + | 0.276097i | |||||
0 | 0 | |||||||||
44.4798 | − | 7.04491i | 1.91945 | − | 0.304010i | |||||
0 | 0 | |||||||||
19.0351 | − | 13.8298i | 0.819899 | − | 0.595692i | |||||
0 | 0 | |||||||||
−17.8972 | − | 13.0031i | −0.769461 | − | 0.559046i | 0.132336 | − | 0.991205i | ||
−0.901798 | + | 0.432159i | ||||||||
0 | 0 | |||||||||
27.9989 | − | 27.9989i | 1.20155 | − | 1.20155i | |||||
0 | 0 | |||||||||
0.111479 | − | 14.6663i | 0.00477524 | − | 0.628237i | |||||
0 | 0 | |||||||||
2.19922 | − | 1.12056i | 0.0940320 | − | 0.0479117i | −0.406342 | − | 0.913721i | ||
0.500374 | + | 0.865809i | ||||||||
0 | 0 | |||||||||
3.83146i | 0.163523i | |||||||||
0 | 0 | |||||||||
− | 15.5452i | − | 0.662247i | |||||||
0 | 0 | |||||||||
42.5835 | − | 21.6974i | 1.81083 | − | 0.922666i | |||||
0 | 0 | |||||||||
42.2083 | + | 14.0699i | 1.79164 | + | 0.597234i | |||||
0 | 0 | |||||||||
7.90748 | − | 7.90748i | 0.335051 | − | 0.335051i | −0.519450 | − | 0.854501i | ||
0.854501 | + | 0.519450i | ||||||||
0 | 0 | |||||||||
−14.2663 | − | 10.3650i | −0.603398 | − | 0.438395i | |||||
0 | 0 | |||||||||
−36.4455 | + | 26.4792i | −1.53873 | + | 1.11795i | |||||
0 | 0 | |||||||||
−15.7185 | + | 2.48957i | −0.662457 | + | 0.104923i | −0.478604 | − | 0.878031i | ||
−0.183853 | + | 0.982954i | ||||||||
0 | 0 | |||||||||
−9.90349 | − | 10.0552i | −0.416643 | − | 0.423025i | |||||
0 | 0 | |||||||||
−42.4181 | + | 83.2501i | −1.78139 | + | 3.49618i | |||||
0 | 0 | |||||||||
−40.4687 | + | 13.1491i | −1.69654 | + | 0.551238i | −0.988002 | − | 0.154439i | ||
−0.708533 | + | 0.705677i | ||||||||
0 | 0 | |||||||||
−16.6012 | − | 5.39406i | −0.694739 | − | 0.225734i | −0.0597020 | − | 0.998216i | ||
−0.635037 | + | 0.772482i | ||||||||
0 | 0 | |||||||||
−30.4689 | − | 4.82580i | −1.27286 | − | 0.201601i | |||||
0 | 0 | |||||||||
24.8065 | + | 13.1183i | 1.03450 | + | 0.547071i | |||||
0 | 0 | |||||||||
5.79961 | − | 36.6173i | 0.241441 | − | 1.52440i | −0.507437 | − | 0.861689i | ||
0.748877 | − | 0.662709i | ||||||||
0 | 0 | |||||||||
−7.27001 | + | 22.3748i | −0.302131 | + | 0.929864i | |||||
0 | 0 | |||||||||
−7.96104 | − | 24.5016i | −0.330280 | − | 1.01650i | |||||
0 | 0 | |||||||||
12.6679 | + | 6.45463i | 0.524652 | + | 0.267323i | |||||
0 | 0 | |||||||||
−72.2269 | + | 10.8775i | −2.98622 | + | 0.449730i | |||||
0 | 0 | |||||||||
3.95971 | + | 25.0006i | 0.163435 | + | 1.03189i | 0.923935 | + | 0.382549i | ||
−0.760501 | + | 0.649337i | ||||||||
0 | 0 | |||||||||
−4.52391 | − | 6.22663i | −0.186404 | − | 0.256564i | |||||
0 | 0 | |||||||||
−6.58655 | + | 9.06560i | −0.270934 | + | 0.372909i | |||||
0 | 0 | |||||||||
−16.2733 | − | 16.2733i | −0.668266 | − | 0.668266i | 0.289049 | − | 0.957314i | ||
−0.957314 | + | 0.289049i | ||||||||
0 | 0 | |||||||||
36.3780 | + | 26.8550i | 1.49135 | + | 1.10095i | |||||
0 | 0 | |||||||||
11.6173 | + | 22.8003i | 0.475465 | + | 0.933153i | |||||
0 | 0 | |||||||||
−12.7517 | −0.521019 | −0.260509 | − | 0.965471i | ||||||
−0.260509 | + | 0.965471i | ||||||||
0 | 0 | |||||||||
5.60928 | 0.228807 | 0.114404 | − | 0.993434i | ||||||
0.114404 | + | 0.993434i | ||||||||
0 | 0 | |||||||||
−19.5836 | − | 38.4351i | −0.797508 | − | 1.56520i | |||||
0 | 0 | |||||||||
2.39592 | + | 7.56916i | 0.0974079 | + | 0.307730i | |||||
0 | 0 | |||||||||
−8.41059 | − | 8.41059i | −0.341375 | − | 0.341375i | 0.515509 | − | 0.856884i | ||
−0.856884 | + | 0.515509i | ||||||||
0 | 0 | |||||||||
48.4453 | − | 66.6792i | 1.96310 | − | 2.70198i | |||||
0 | 0 | |||||||||
−3.20376 | − | 4.40959i | −0.129610 | − | 0.178393i | |||||
0 | 0 | |||||||||
2.17512 | + | 13.7332i | 0.0878523 | + | 0.554677i | 0.991877 | + | 0.127198i | ||
−0.904025 | + | 0.427479i | ||||||||
0 | 0 | |||||||||
21.2247 | + | 42.4503i | 0.855861 | + | 1.71176i | |||||
0 | 0 | |||||||||
−30.4274 | − | 15.5035i | −1.22496 | − | 0.624149i | −0.282758 | − | 0.959191i | ||
−0.942203 | + | 0.335042i | ||||||||
0 | 0 | |||||||||
3.44153 | + | 10.5920i | 0.138327 | + | 0.425727i | 0.996093 | − | 0.0883143i | ||
−0.857766 | + | 0.514041i | ||||||||
0 | 0 | |||||||||
−24.6552 | + | 75.8809i | −0.989379 | + | 3.04500i | |||||
0 | 0 | |||||||||
7.57945 | − | 47.8548i | 0.303664 | − | 1.91726i | |||||
0 | 0 | |||||||||
−19.7694 | − | 15.3027i | −0.790775 | − | 0.612107i | |||||
0 | 0 | |||||||||
−20.9127 | − | 3.31225i | −0.835174 | − | 0.132279i | |||||
0 | 0 | |||||||||
30.0128 | + | 9.75175i | 1.19669 | + | 0.388828i | |||||
0 | 0 | |||||||||
30.9083 | − | 10.0427i | 1.23044 | − | 0.399794i | 0.379565 | − | 0.925165i | ||
0.850873 | + | 0.525371i | ||||||||
0 | 0 | |||||||||
30.8283 | − | 60.5039i | 1.22531 | − | 2.40481i | |||||
0 | 0 | |||||||||
−5.78851 | + | 2.89418i | −0.229710 | + | 0.114852i | |||||
0 | 0 | |||||||||
37.5499 | − | 5.94731i | 1.48778 | − | 0.235641i | |||||
0 | 0 | |||||||||
13.9503 | − | 10.1355i | 0.551866 | − | 0.400954i | |||||
0 | 0 | |||||||||
27.5141 | + | 19.9901i | 1.08674 | + | 0.789563i | 0.978846 | − | 0.204599i | ||
0.107895 | + | 0.994162i | ||||||||
0 | 0 | |||||||||
−20.5380 | + | 20.5380i | −0.809941 | + | 0.809941i | −0.984625 | − | 0.174684i | ||
0.174684 | + | 0.984625i | ||||||||
0 | 0 | |||||||||
27.4985 | − | 8.70428i | 1.08275 | − | 0.342731i | |||||
0 | 0 | |||||||||
−2.67176 | + | 1.36133i | −0.105038 | + | 0.0535193i | −0.505720 | − | 0.862698i | ||
0.400682 | + | 0.916217i | ||||||||
0 | 0 | |||||||||
0.724506i | 0.0284393i | |||||||||
0 | 0 | |||||||||
− | 40.8068i | − | 1.59934i | |||||||
0 | 0 | |||||||||
−14.3147 | + | 7.29369i | −0.560177 | + | 0.285424i | −0.711065 | − | 0.703127i | ||
0.150888 | + | 0.988551i | ||||||||
0 | 0 | |||||||||
−3.86754 | + | 5.23901i | −0.151117 | + | 0.204705i | |||||
0 | 0 | |||||||||
55.5479 | − | 55.5479i | 2.16713 | − | 2.16713i | |||||
0 | 0 | |||||||||
1.06188 | + | 0.771504i | 0.0413651 | + | 0.0300535i | 0.608276 | − | 0.793726i | ||
−0.566911 | + | 0.823779i | ||||||||
0 | 0 | |||||||||
34.8370 | − | 25.3105i | 1.35500 | − | 0.984466i | 0.356256 | − | 0.934388i | ||
0.998745 | − | 0.0500779i | ||||||||
0 | 0 | |||||||||
−71.8948 | + | 11.3870i | −2.79216 | + | 0.442235i | |||||
0 | 0 | |||||||||
3.16493 | + | 21.0152i | 0.122731 | + | 0.814934i | |||||
0 | 0 | |||||||||
16.4708 | − | 32.3258i | 0.637752 | − | 1.25166i | |||||
0 | 0 | |||||||||
21.1300 | − | 6.86556i | 0.816934 | − | 0.265438i | |||||
0 | 0 | |||||||||
−1.34277 | − | 0.436292i | −0.0518370 | − | 0.0168429i | |||||
0 | 0 | |||||||||
−46.9047 | − | 7.42897i | −1.80804 | − | 0.286366i | −0.841010 | − | 0.541019i | ||
−0.967032 | + | 0.254653i | ||||||||
0 | 0 | |||||||||
33.2291 | − | 62.8358i | 1.27899 | − | 2.41855i | |||||
0 | 0 | |||||||||
5.40918 | − | 34.1522i | 0.207892 | − | 1.31258i | −0.634170 | − | 0.773194i | ||
0.842061 | − | 0.539382i | ||||||||
0 | 0 | |||||||||
−13.3003 | + | 40.9342i | −0.510420 | + | 1.57091i | |||||
0 | 0 | |||||||||
16.4170 | + | 50.5264i | 0.629101 | + | 1.93617i | |||||
0 | 0 | |||||||||
24.9863 | + | 12.7312i | 0.956074 | + | 0.487144i | 0.861156 | − | 0.508341i | ||
0.0949182 | + | 0.995485i | ||||||||
0 | 0 | |||||||||
5.04607 | − | 4.96994i | 0.192801 | − | 0.189892i | |||||
0 | 0 | |||||||||
6.13908 | + | 38.7606i | 0.234221 | + | 1.47881i | |||||
0 | 0 | |||||||||
13.5031 | + | 18.5855i | 0.514428 | + | 0.708049i | |||||
0 | 0 | |||||||||
−8.46130 | + | 11.6460i | −0.321883 | + | 0.443034i | −0.939041 | − | 0.343805i | ||
0.617158 | + | 0.786839i | ||||||||
0 | 0 | |||||||||
−56.4971 | − | 56.4971i | −2.14615 | − | 2.14615i | |||||
0 | 0 | |||||||||
16.1439 | − | 48.4301i | 0.612373 | − | 1.83706i | |||||
0 | 0 | |||||||||
15.2828 | + | 29.9942i | 0.578877 | + | 1.13611i | |||||
0 | 0 | |||||||||
−85.4220 | −3.23096 | |||||||||
0 | 0 | |||||||||
23.6691 | 0.893968 | 0.446984 | − | 0.894542i | ||||||
0.446984 | + | 0.894542i | ||||||||
0 | 0 | |||||||||
6.73366 | + | 13.2156i | 0.253965 | + | 0.498434i | |||||
0 | 0 | |||||||||
8.91496 | + | 0.0677629i | 0.335757 | + | 0.00255210i | |||||
0 | 0 | |||||||||
14.5411 | + | 14.5411i | 0.546873 | + | 0.546873i | |||||
0 | 0 | |||||||||
−10.7394 | + | 14.7815i | −0.403326 | + | 0.555131i | −0.961575 | − | 0.274543i | ||
0.558249 | + | 0.829674i | ||||||||
0 | 0 | |||||||||
−52.6456 | − | 72.4605i | −1.97436 | − | 2.71748i | |||||
0 | 0 | |||||||||
−2.80996 | − | 17.7414i | −0.105234 | − | 0.664420i | |||||
0 | 0 | |||||||||
4.41242 | − | 26.5512i | 0.165015 | − | 0.992958i | |||||
0 | 0 | |||||||||
−61.4442 | − | 31.3074i | −2.29468 | − | 1.16920i | |||||
0 | 0 | |||||||||
8.20814 | + | 25.2621i | 0.306112 | + | 0.942116i | 0.979260 | + | 0.202608i | ||
−0.673148 | + | 0.739508i | ||||||||
0 | 0 | |||||||||
−10.1681 | + | 31.2943i | −0.378681 | + | 1.16546i | |||||
0 | 0 | |||||||||
7.28288 | − | 45.9823i | 0.270853 | − | 1.71010i | |||||
0 | 0 | |||||||||
−19.3936 | + | 25.8571i | −0.720259 | + | 0.960307i | |||||
0 | 0 | |||||||||
−14.2659 | − | 2.25950i | −0.529094 | − | 0.0838002i | −0.113828 | − | 0.993500i | ||
−0.415266 | + | 0.909700i | ||||||||
0 | 0 | |||||||||
35.6815 | + | 11.5936i | 1.32154 | + | 0.429393i | |||||
0 | 0 | |||||||||
19.4568 | − | 6.32191i | 0.719637 | − | 0.233824i | |||||
0 | 0 | |||||||||
20.1391 | − | 39.5251i | 0.743853 | − | 1.45989i | −0.139024 | − | 0.990289i | ||
0.882877 | − | 0.469605i | ||||||||
0 | 0 | |||||||||
−28.6513 | + | 55.1903i | −1.05682 | + | 2.03572i | |||||
0 | 0 | |||||||||
15.6999 | − | 2.48662i | 0.578313 | − | 0.0915959i | |||||
0 | 0 | |||||||||
−18.5363 | + | 13.4674i | −0.681870 | + | 0.495408i | −0.873978 | − | 0.485966i | ||
0.192108 | + | 0.981374i | ||||||||
0 | 0 | |||||||||
−27.6783 | − | 20.1095i | −1.01679 | − | 0.738740i | |||||
0 | 0 | |||||||||
−16.8830 | + | 16.8830i | −0.619377 | + | 0.619377i | −0.945372 | − | 0.325994i | ||
0.325994 | + | 0.945372i | ||||||||
0 | 0 | |||||||||
−10.0011 | − | 13.9878i | −0.366414 | − | 0.512472i | |||||
0 | 0 | |||||||||
−43.0181 | + | 21.9188i | −1.57395 | + | 0.801968i | |||||
0 | 0 | |||||||||
68.8533i | 2.51585i | |||||||||
0 | 0 | |||||||||
14.8477i | 0.541801i | 0.962607 | + | 0.270900i | ||||||
−0.962607 | + | 0.270900i | ||||||||
0 | 0 | |||||||||
25.0810 | − | 12.7794i | 0.914003 | − | 0.465708i | |||||
0 | 0 | |||||||||
9.75876 | + | 13.6487i | 0.355158 | + | 0.496729i | |||||
0 | 0 | |||||||||
−6.81120 | + | 6.81120i | −0.247557 | + | 0.247557i | −0.819967 | − | 0.572410i | ||
0.572410 | + | 0.819967i | ||||||||
0 | 0 | |||||||||
−39.9780 | − | 29.0457i | −1.45111 | − | 1.05429i | |||||
0 | 0 | |||||||||
0.259631 | − | 0.188633i | 0.00941163 | − | 0.00683795i | −0.583069 | − | 0.812422i | ||
0.592481 | + | 0.805584i | ||||||||
0 | 0 | |||||||||
25.6046 | − | 4.05536i | 0.926947 | − | 0.146814i | |||||
0 | 0 | |||||||||
39.0434 | − | 75.2082i | 1.41162 | − | 2.71916i | |||||
0 | 0 | |||||||||
−0.531471 | + | 1.04307i | −0.0191903 | + | 0.0376631i | |||||
0 | 0 | |||||||||
6.96700 | − | 2.26371i | 0.251236 | − | 0.0816316i | −0.180691 | − | 0.983540i | ||
0.431928 | + | 0.901908i | ||||||||
0 | 0 | |||||||||
50.0398 | + | 16.2589i | 1.80214 | + | 0.585551i | |||||
0 | 0 | |||||||||
−22.7703 | − | 3.60646i | −0.818991 | − | 0.129715i | −0.267140 | − | 0.963658i | ||
−0.551851 | + | 0.833942i | ||||||||
0 | 0 | |||||||||
−0.243261 | + | 16.0009i | −0.00873818 | + | 0.574770i | |||||
0 | 0 | |||||||||
−12.3020 | + | 77.6715i | −0.441330 | + | 2.78645i | |||||
0 | 0 | |||||||||
−4.88925 | + | 15.0476i | −0.175176 | + | 0.539135i | |||||
0 | 0 | |||||||||
1.96354 | + | 6.04315i | 0.0702609 | + | 0.216241i | |||||
0 | 0 | |||||||||
−81.8823 | − | 41.7211i | −2.92623 | − | 1.49099i | |||||
0 | 0 | |||||||||
6.38498 | − | 38.4208i | 0.227890 | − | 1.37130i | |||||
0 | 0 | |||||||||
−5.09483 | − | 32.1675i | −0.181611 | − | 1.14665i | −0.895062 | − | 0.445942i | ||
0.713451 | − | 0.700705i | ||||||||
0 | 0 | |||||||||
−34.8544 | − | 47.9730i | −1.24085 | − | 1.70788i | |||||
0 | 0 | |||||||||
14.6626 | − | 20.1814i | 0.521342 | − | 0.717566i | |||||
0 | 0 | |||||||||
−1.61314 | − | 1.61314i | −0.0572841 | − | 0.0572841i | |||||
0 | 0 | |||||||||
−37.5746 | − | 0.285605i | −1.33263 | − | 0.0101294i | |||||
0 | 0 | |||||||||
−24.3883 | − | 47.8648i | −0.863879 | − | 1.69546i | −0.706255 | − | 0.707958i | ||
−0.157624 | − | 0.987499i | ||||||||
0 | 0 | |||||||||
6.32345 | 0.223708 | |||||||||
0 | 0 | |||||||||
−90.8005 | −3.20828 | |||||||||
0 | 0 | |||||||||
13.1419 | + | 25.7925i | 0.463769 | + | 0.910198i | |||||
0 | 0 | |||||||||
−15.6851 | + | 47.0539i | −0.552829 | + | 1.65843i | |||||
0 | 0 | |||||||||
26.5458 | + | 26.5458i | 0.934458 | + | 0.934458i | |||||
0 | 0 | |||||||||
−22.6777 | + | 31.2132i | −0.797307 | + | 1.09740i | 0.195852 | + | 0.980633i | ||
−0.993159 | + | 0.116766i | ||||||||
0 | 0 | |||||||||
−20.6446 | − | 28.4149i | −0.724931 | − | 0.997782i | −0.999346 | − | 0.0361702i | ||
0.274415 | − | 0.961611i | ||||||||
0 | 0 | |||||||||
3.82038 | + | 24.1209i | 0.133987 | + | 0.845958i | |||||
0 | 0 | |||||||||
21.1318 | − | 20.8130i | 0.740215 | − | 0.729048i | |||||
0 | 0 | |||||||||
8.56743 | + | 4.36533i | 0.299737 | + | 0.152723i | |||||
0 | 0 | |||||||||
−39.8947 | − | 122.783i | −1.39403 | − | 4.29039i | |||||
0 | 0 | |||||||||
1.41608 | − | 4.35825i | 0.0494216 | − | 0.152104i | −0.923300 | − | 0.384079i | ||
0.972722 | + | 0.231975i | ||||||||
0 | 0 | |||||||||
5.97979 | − | 37.7549i | 0.208442 | − | 1.31605i | −0.632345 | − | 0.774687i | ||
0.840787 | − | 0.541366i | ||||||||
0 | 0 | |||||||||
30.6529 | + | 31.5994i | 1.06720 | + | 1.10015i | |||||
0 | 0 | |||||||||
6.05062 | + | 0.958323i | 0.210401 | + | 0.0333242i | 0.260745 | − | 0.965408i | ||
−0.0503443 | + | 0.998732i | ||||||||
0 | 0 | |||||||||
6.18322 | + | 2.00905i | 0.214752 | + | 0.0697772i | 0.414417 | − | 0.910087i | ||
−0.199665 | + | 0.979864i | ||||||||
0 | 0 | |||||||||
−78.3707 | + | 25.4642i | −2.71865 | + | 0.883343i | |||||
0 | 0 | |||||||||
−20.0239 | + | 39.2991i | −0.693786 | + | 1.36163i | |||||
0 | 0 | |||||||||
−2.19671 | − | 14.5862i | −0.0760202 | − | 0.504775i | |||||
0 | 0 | |||||||||
−44.9395 | + | 7.11772i | −1.55334 | + | 0.246024i | |||||
0 | 0 | |||||||||
−9.69717 | + | 7.04541i | −0.334783 | + | 0.243234i | −0.742458 | − | 0.669893i | ||
0.407674 | + | 0.913127i | ||||||||
0 | 0 | |||||||||
10.3456 | + | 7.51655i | 0.356747 | + | 0.259192i | |||||
0 | 0 | |||||||||
−32.5756 | + | 32.5756i | −1.12196 | + | 1.12196i | |||||
0 | 0 | |||||||||
8.56502 | − | 11.6023i | 0.294646 | − | 0.399130i | |||||
0 | 0 | |||||||||
−12.5034 | + | 6.37078i | −0.429620 | + | 0.218903i | |||||
0 | 0 | |||||||||
− | 5.14055i | − | 0.176423i | |||||||
0 | 0 | |||||||||
34.6160i | 1.18662i | |||||||||
0 | 0 | |||||||||
39.4367 | − | 20.0940i | 1.35029 | − | 0.688006i | 0.378884 | − | 0.925444i | ||
0.971403 | + | 0.237438i | ||||||||
0 | 0 | |||||||||
37.9710 | − | 12.0192i | 1.29858 | − | 0.411048i | |||||
0 | 0 | |||||||||
12.1177 | − | 12.1177i | 0.413934 | − | 0.413934i | −0.469173 | − | 0.883106i | ||
0.883106 | + | 0.469173i | ||||||||
0 | 0 | |||||||||
−16.2646 | − | 11.8169i | −0.554941 | − | 0.403188i | 0.274663 | − | 0.961541i | ||
−0.829604 | + | 0.558352i | ||||||||
0 | 0 | |||||||||
−67.8664 | + | 49.3078i | −2.31288 | + | 1.68041i | |||||
0 | 0 | |||||||||
−8.81063 | + | 1.39547i | −0.299917 | + | 0.0475023i | −0.304580 | − | 0.952487i | ||
0.00466216 | + | 0.999989i | ||||||||
0 | 0 | |||||||||
−19.6073 | + | 9.80342i | −0.666669 | + | 0.333326i | |||||
0 | 0 | |||||||||
13.4413 | − | 26.3800i | 0.456490 | − | 0.895912i | |||||
0 | 0 | |||||||||
31.3892 | − | 10.1990i | 1.06481 | − | 0.345976i | |||||
0 | 0 | |||||||||
24.4272 | + | 7.93689i | 0.827686 | + | 0.268931i | |||||
0 | 0 | |||||||||
79.6679 | + | 12.6182i | 2.69635 | + | 0.427060i | |||||
0 | 0 | |||||||||
20.9534 | − | 38.9041i | 0.708353 | − | 1.31520i | |||||
0 | 0 | |||||||||
0.402784 | − | 2.54308i | 0.0136011 | − | 0.0858737i | −0.979954 | − | 0.199223i | ||
0.993555 | + | 0.113350i | ||||||||
0 | 0 | |||||||||
17.2588 | − | 53.1170i | 0.582123 | − | 1.79159i | |||||
0 | 0 | |||||||||
10.1043 | + | 31.0979i | 0.340423 | + | 1.04771i | 0.963989 | + | 0.265944i | ||
−0.623565 | + | 0.781771i | ||||||||
0 | 0 | |||||||||
−32.7812 | − | 16.7029i | −1.10317 | − | 0.562096i | −0.195049 | − | 0.980793i | ||
−0.908126 | + | 0.418698i | ||||||||
0 | 0 | |||||||||
−0.856309 | − | 1.71266i | −0.0287845 | − | 0.0575704i | |||||
0 | 0 | |||||||||
3.43852 | + | 21.7100i | 0.115454 | + | 0.728949i | 0.975707 | + | 0.219081i | ||
−0.860253 | + | 0.509868i | ||||||||
0 | 0 | |||||||||
−6.72359 | − | 9.25423i | −0.225502 | − | 0.310377i | |||||
0 | 0 | |||||||||
−37.9259 | + | 52.2005i | −1.27057 | + | 1.74878i | |||||
0 | 0 | |||||||||
2.10157 | + | 2.10157i | 0.0703263 | + | 0.0703263i | |||||
0 | 0 | |||||||||
−9.42017 | − | 29.7601i | −0.314882 | − | 0.994770i | |||||
0 | 0 | |||||||||
−36.2494 | − | 71.1435i | −1.21033 | − | 2.37541i | |||||
0 | 0 | |||||||||
20.6895 | 0.690034 | |||||||||
0 | 0 | |||||||||
−26.6519 | −0.887905 | |||||||||
0 | 0 | |||||||||
23.1448 | + | 45.4242i | 0.770211 | + | 1.51162i | |||||
0 | 0 | |||||||||
−22.0812 | − | 16.3008i | −0.734002 | − | 0.541856i | |||||
0 | 0 | |||||||||
−37.9456 | − | 37.9456i | −1.25996 | − | 1.25996i | −0.951109 | − | 0.308854i | ||
−0.308854 | − | 0.951109i | ||||||||
0 | 0 | |||||||||
22.6523 | − | 31.1783i | 0.751331 | − | 1.03412i | |||||
0 | 0 | |||||||||
−33.3609 | − | 45.9174i | −1.10530 | − | 1.52131i | −0.828170 | − | 0.560478i | ||
−0.277127 | − | 0.960833i | ||||||||
0 | 0 | |||||||||
−2.78313 | − | 17.5720i | −0.0921081 | − | 0.581548i | |||||
0 | 0 | |||||||||
3.68983 | − | 0.555697i | 0.121982 | − | 0.0183708i | |||||
0 | 0 | |||||||||
−10.2554 | − | 5.22539i | −0.338664 | − | 0.172558i | |||||
0 | 0 | |||||||||
1.38497 | + | 4.26249i | 0.0456859 | + | 0.140607i | 0.971297 | − | 0.237868i | ||
−0.925612 | + | 0.378475i | ||||||||
0 | 0 | |||||||||
14.1809 | − | 43.6444i | 0.467278 | − | 1.43813i | |||||
0 | 0 | |||||||||
−1.60613 | + | 10.1407i | −0.0528664 | + | 0.333785i | |||||
0 | 0 | |||||||||
5.28679 | − | 30.3828i | 0.173829 | − | 0.998979i | |||||
0 | 0 | |||||||||
60.9063 | + | 9.64661i | 2.00042 | + | 0.316836i | |||||
0 | 0 | |||||||||
19.4161 | + | 6.30868i | 0.637022 | + | 0.206981i | 0.609683 | − | 0.792645i | ||
0.0273390 | + | 0.999626i | ||||||||
0 | 0 | |||||||||
−19.7157 | + | 6.40602i | −0.646156 | + | 0.209949i | |||||
0 | 0 | |||||||||
15.1318 | − | 29.6978i | 0.495393 | − | 0.972263i | |||||
0 | 0 | |||||||||
21.9115 | + | 22.2471i | 0.716582 | + | 0.727558i | |||||
0 | 0 | |||||||||
−48.4276 | + | 7.67018i | −1.58206 | + | 0.250574i | −0.884705 | − | 0.466151i | ||
−0.697356 | + | 0.716725i | ||||||||
0 | 0 | |||||||||
42.6500 | − | 30.9870i | 1.39183 | − | 1.01122i | |||||
0 | 0 | |||||||||
−21.1187 | − | 15.3436i | −0.688450 | − | 0.500189i | 0.187700 | − | 0.982226i | ||
−0.876150 | + | 0.482038i | ||||||||
0 | 0 | |||||||||
−26.1107 | + | 26.1107i | −0.850280 | + | 0.850280i | |||||
0 | 0 | |||||||||
119.189 | + | 39.7310i | 3.87722 | + | 1.29245i | |||||
0 | 0 | |||||||||
−35.0327 | + | 17.8501i | −1.13841 | + | 0.580049i | −0.918480 | − | 0.395467i | ||
−0.219930 | + | 0.975516i | ||||||||
0 | 0 | |||||||||
46.7740i | 1.51835i | |||||||||
0 | 0 | |||||||||
107.887i | 3.49846i | |||||||||
0 | 0 | |||||||||
−28.6513 | + | 14.5986i | −0.928106 | + | 0.472894i | −0.851610 | − | 0.524176i | ||
−0.0764965 | + | 0.997070i | ||||||||
0 | 0 | |||||||||
−0.162526 | + | 21.3821i | −0.00525921 | + | 0.691909i | |||||
0 | 0 | |||||||||
40.2468 | − | 40.2468i | 1.30099 | − | 1.30099i | |||||
0 | 0 | |||||||||
10.1278 | + | 7.35825i | 0.327042 | + | 0.237610i | |||||
0 | 0 | |||||||||
−16.7923 | + | 12.2003i | −0.541688 | + | 0.393559i | |||||
0 | 0 | |||||||||
127.446 | − | 20.1855i | 4.10691 | − | 0.650470i | |||||
0 | 0 | |||||||||
16.0865 | + | 2.67335i | 0.517844 | + | 0.0860582i | |||||
0 | 0 | |||||||||
−11.7698 | + | 23.0996i | −0.378492 | + | 0.742832i | −0.999149 | − | 0.0412505i | ||
0.620657 | + | 0.784082i | ||||||||
0 | 0 | |||||||||
37.7486 | − | 12.2653i | 1.21266 | − | 0.394018i | |||||
0 | 0 | |||||||||
−41.7528 | − | 13.5663i | −1.33991 | − | 0.435364i | −0.450625 | − | 0.892714i | ||
−0.889287 | + | 0.457350i | ||||||||
0 | 0 | |||||||||
89.1208 | + | 14.1154i | 2.85708 | + | 0.452517i | |||||
0 | 0 | |||||||||
20.9509 | + | 67.9795i | 0.670966 | + | 2.17709i | |||||
0 | 0 | |||||||||
1.09435 | − | 6.90944i | 0.0350113 | − | 0.221052i | −0.963979 | − | 0.265978i | ||
0.998990 | + | 0.0449257i | ||||||||
0 | 0 | |||||||||
10.3395 | − | 31.8218i | 0.330453 | − | 1.01703i | |||||
0 | 0 | |||||||||
−15.0128 | − | 46.2048i | −0.479323 | − | 1.47520i | |||||
0 | 0 | |||||||||
2.60540 | + | 1.32752i | 0.0830993 | + | 0.0423412i | 0.495046 | − | 0.868867i | ||
−0.411947 | + | 0.911208i | ||||||||
0 | 0 | |||||||||
6.89363 | + | 3.57874i | 0.219649 | + | 0.114028i | |||||
0 | 0 | |||||||||
2.46506 | + | 15.5638i | 0.0784638 | + | 0.495401i | |||||
0 | 0 | |||||||||
13.1905 | + | 18.1552i | 0.419433 | + | 0.577300i | |||||
0 | 0 | |||||||||
11.1499 | − | 15.3466i | 0.354189 | − | 0.487499i | −0.594329 | − | 0.804222i | ||
0.948518 | + | 0.316722i | ||||||||
0 | 0 | |||||||||
9.31161 | + | 9.31161i | 0.295495 | + | 0.295495i | |||||
0 | 0 | |||||||||
14.4285 | − | 10.3163i | 0.457415 | − | 0.327049i | |||||
0 | 0 | |||||||||
27.4234 | + | 53.8214i | 0.868508 | + | 1.70454i | 0.694112 | + | 0.719867i | ||
0.174395 | + | 0.984676i | ||||||||
0 | 0 | |||||||||
87.6835 | 2.77418 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 800.2.bq.d.223.1 | yes | 64 | |
4.3 | odd | 2 | 800.2.bq.c.223.8 | ✓ | 64 | ||
25.12 | odd | 20 | 800.2.bq.c.287.8 | yes | 64 | ||
100.87 | even | 20 | inner | 800.2.bq.d.287.1 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
800.2.bq.c.223.8 | ✓ | 64 | 4.3 | odd | 2 | ||
800.2.bq.c.287.8 | yes | 64 | 25.12 | odd | 20 | ||
800.2.bq.d.223.1 | yes | 64 | 1.1 | even | 1 | trivial | |
800.2.bq.d.287.1 | yes | 64 | 100.87 | even | 20 | inner |