Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [261,2,Mod(64,261)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(261, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([0, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("261.64");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 261.o (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: | no (minimal twist has level 87) |
Sato-Tate group: |
Embedding invariants
Embedding label | 154.1 | ||
Character | 261.154 | ||
Dual form | 261.2.o.b.100.1 |
-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 .
−1.00695 | − | 2.09096i | −0.712022 | − | 1.47853i | −0.871018 | − | 0.491251i | ||
0.158996 | − | 0.987279i | ||||||||
0 | 0 | |||||||||
−2.11117 | + | 2.64732i | −1.05558 | + | 1.32366i | |||||
−1.71239 | + | 0.824646i | −0.765806 | + | 0.368793i | −0.775654 | − | 0.631159i | ||
0.00984749 | + | 0.999952i | ||||||||
0 | 0 | |||||||||
−2.13259 | − | 2.67418i | −0.806042 | − | 1.01074i | −0.999560 | − | 0.0296476i | ||
0.193519 | − | 0.981097i | ||||||||
3.13608 | + | 0.715791i | 1.10877 | + | 0.253070i | |||||
0 | 0 | |||||||||
3.44860 | + | 2.75017i | 1.09054 | + | 0.869679i | |||||
−0.806696 | + | 0.184123i | −0.243228 | + | 0.0555152i | −0.342397 | − | 0.939555i | ||
0.0991689 | + | 0.995071i | ||||||||
0 | 0 | |||||||||
1.20608 | + | 5.28419i | 0.334507 | + | 1.46557i | 0.810301 | + | 0.586015i | ||
−0.475793 | + | 0.879557i | ||||||||
−3.44418 | + | 7.15191i | −0.920496 | + | 1.91143i | |||||
0 | 0 | |||||||||
−0.154263 | − | 0.675869i | −0.0385657 | − | 0.168967i | |||||
6.71892i | 1.62958i | 0.579758 | + | 0.814788i | ||||||
−0.579758 | + | 0.814788i | ||||||||
0 | 0 | |||||||||
−3.45146 | − | 2.75245i | −0.791819 | − | 0.631455i | 0.141729 | − | 0.989905i | ||
−0.933549 | + | 0.358451i | ||||||||
1.43205 | − | 6.27423i | 0.320217 | − | 1.40296i | |||||
0 | 0 | |||||||||
1.19730 | + | 1.50136i | 0.255265 | + | 0.320092i | |||||
0.139227 | + | 0.0670480i | 0.0290308 | + | 0.0139805i | 0.448343 | − | 0.893862i | ||
−0.419312 | + | 0.907842i | ||||||||
0 | 0 | |||||||||
−0.865194 | + | 1.08492i | −0.173039 | + | 0.216984i | |||||
9.83456 | − | 7.84280i | 1.92871 | − | 1.53810i | |||||
0 | 0 | |||||||||
11.5817 | 2.18873 | |||||||||
−5.06676 | − | 1.82425i | −0.940875 | − | 0.338755i | |||||
0 | 0 | |||||||||
−2.48781 | − | 5.16599i | −0.446824 | − | 0.927840i | −0.995761 | − | 0.0919761i | ||
0.548937 | − | 0.835864i | ||||||||
3.77201 | − | 3.00808i | 0.666804 | − | 0.531758i | |||||
0 | 0 | |||||||||
14.0490 | − | 6.76563i | 2.40938 | − | 1.16030i | |||||
5.85708 | + | 2.82062i | 0.990027 | + | 0.476772i | |||||
0 | 0 | |||||||||
−9.49071 | − | 2.16619i | −1.56026 | − | 0.356120i | −0.646677 | − | 0.762764i | ||
−0.913587 | + | 0.406644i | ||||||||
−2.27980 | + | 9.98844i | −0.369832 | + | 1.62034i | |||||
0 | 0 | |||||||||
−5.96049 | + | 1.36044i | −0.942436 | + | 0.215105i | |||||
− | 5.43514i | − | 0.848827i | −0.905469 | − | 0.424413i | ||||
0.905469 | − | 0.424413i | ||||||||
0 | 0 | |||||||||
−1.93772 | + | 4.02372i | −0.295500 | + | 0.613612i | −0.994872 | − | 0.101146i | ||
0.699372 | + | 0.714758i | ||||||||
1.21564 | − | 2.52430i | 0.183264 | − | 0.380553i | |||||
0 | 0 | |||||||||
− | 0.358631i | − | 0.0528772i | |||||||
1.18672 | − | 0.270862i | 0.173101 | − | 0.0395092i | −0.135092 | − | 0.990833i | ||
0.308193 | + | 0.951324i | ||||||||
0 | 0 | |||||||||
−1.04566 | + | 4.58133i | −0.149380 | + | 0.654476i | |||||
3.13973 | + | 0.716622i | 0.444024 | + | 0.101346i | |||||
0 | 0 | |||||||||
−16.5352 | − | 7.96294i | −2.29302 | − | 1.10426i | |||||
0.419909 | − | 0.202218i | 0.0576790 | − | 0.0277767i | −0.404822 | − | 0.914396i | ||
0.462501 | + | 0.886619i | ||||||||
0 | 0 | |||||||||
1.22955 | − | 0.980530i | 0.165792 | − | 0.132215i | |||||
−4.77382 | − | 9.91293i | −0.637928 | − | 1.32467i | |||||
0 | 0 | |||||||||
1.28756 | + | 12.4313i | 0.169064 | + | 1.63231i | |||||
−11.5925 | −1.50921 | −0.754605 | − | 0.656179i | ||||||
−0.754605 | + | 0.656179i | ||||||||
0 | 0 | |||||||||
8.77189 | − | 6.99535i | 1.12312 | − | 0.895662i | 0.127757 | − | 0.991805i | ||
0.995368 | + | 0.0961432i | ||||||||
−8.29676 | + | 10.4038i | −1.05369 | + | 1.32129i | |||||
0 | 0 | |||||||||
−11.3372 | − | 5.45970i | −1.41715 | − | 0.682463i | |||||
−6.42288 | − | 8.05404i | −0.796660 | − | 0.998980i | |||||
0 | 0 | |||||||||
−2.88159 | + | 12.6251i | −0.352042 | + | 1.54240i | 0.420415 | + | 0.907332i | ||
−0.772457 | + | 0.635067i | ||||||||
−17.7871 | − | 14.1848i | −2.15701 | − | 1.72016i | |||||
0 | 0 | |||||||||
− | 15.0871i | − | 1.80326i | |||||||
−0.750585 | − | 3.28853i | −0.0890780 | − | 0.390276i | 0.910660 | − | 0.413156i | ||
−0.999738 | + | 0.0228799i | ||||||||
0 | 0 | |||||||||
−0.425383 | + | 0.883317i | −0.0497873 | + | 0.103384i | −0.924378 | − | 0.381477i | ||
0.874591 | + | 0.484861i | ||||||||
5.02727 | + | 22.0259i | 0.584409 | + | 2.56046i | |||||
0 | 0 | |||||||||
14.5732 | − | 3.32625i | 1.67167 | − | 0.381547i | |||||
2.21273 | + | 1.76459i | 0.252164 | + | 0.201094i | |||||
0 | 0 | |||||||||
4.74548 | + | 1.08313i | 0.533909 | + | 0.121861i | 0.480971 | − | 0.876737i | ||
0.0529379 | + | 0.998598i | ||||||||
0.821511 | + | 1.03014i | 0.0918477 | + | 0.115173i | |||||
0 | 0 | |||||||||
−11.3647 | + | 5.47293i | −1.25502 | + | 0.604384i | |||||
4.81847 | − | 6.04218i | 0.528896 | − | 0.663215i | −0.443575 | − | 0.896237i | ||
0.972471 | + | 0.233022i | ||||||||
0 | 0 | |||||||||
−5.54073 | − | 11.5054i | −0.600976 | − | 1.24794i | |||||
10.3646 | 1.11765 | |||||||||
0 | 0 | |||||||||
−2.66166 | −0.283734 | |||||||||
−2.02075 | − | 4.19613i | −0.214199 | − | 0.444789i | 0.765990 | − | 0.642852i | ||
−0.980189 | + | 0.198063i | ||||||||
0 | 0 | |||||||||
11.5588 | − | 14.4943i | 1.21169 | − | 1.51941i | |||||
−0.471429 | + | 0.227028i | −0.0491498 | + | 0.0236693i | |||||
0 | 0 | |||||||||
−1.76133 | − | 2.20864i | −0.181668 | − | 0.227804i | |||||
8.18006 | + | 1.86705i | 0.839256 | + | 0.191555i | |||||
0 | 0 | |||||||||
7.82946 | + | 6.24379i | 0.794961 | + | 0.633960i | 0.934382 | − | 0.356273i | ||
−0.139421 | + | 0.990233i | ||||||||
10.6323 | − | 2.42675i | 1.07402 | − | 0.245139i | |||||
0 | 0 | |||||||||
−1.04556 | − | 4.58089i | −0.104556 | − | 0.458089i | |||||
−6.58733 | + | 13.6787i | −0.655463 | + | 1.36108i | 0.262698 | + | 0.964878i | ||
−0.918162 | + | 0.396206i | ||||||||
0 | 0 | |||||||||
−0.0464759 | − | 0.203624i | −0.00457941 | − | 0.0200637i | 0.972587 | − | 0.232541i | ||
−0.977166 | + | 0.212477i | ||||||||
17.4350i | 1.70964i | |||||||||
0 | 0 | |||||||||
−0.845657 | − | 0.674389i | −0.0821375 | − | 0.0655025i | |||||
−0.572801 | + | 2.50960i | −0.0553747 | + | 0.242613i | −0.995039 | − | 0.0994854i | ||
0.939664 | + | 0.342098i | ||||||||
0 | 0 | |||||||||
0.718366 | + | 0.900802i | 0.0688070 | + | 0.0862812i | 0.815044 | − | 0.579399i | ||
−0.746237 | + | 0.665681i | ||||||||
−3.28834 | − | 1.58358i | −0.313531 | − | 0.150988i | |||||
0 | 0 | |||||||||
−1.47841 | + | 1.85387i | −0.139697 | + | 0.175175i | |||||
−3.40029 | + | 2.71164i | −0.319872 | + | 0.255089i | −0.770241 | − | 0.637753i | ||
0.450369 | + | 0.892843i | ||||||||
0 | 0 | |||||||||
−0.293702 | −0.0273878 | |||||||||
15.5262 | − | 9.56206i | 1.44157 | − | 0.887815i | |||||
0 | 0 | |||||||||
11.6731 | + | 24.2393i | 1.07459 | + | 2.23141i | |||||
17.9676 | − | 14.3287i | 1.64709 | − | 1.31351i | |||||
0 | 0 | |||||||||
−9.29380 | + | 4.47566i | −0.844891 | + | 0.406878i | |||||
−23.4598 | − | 11.2977i | −2.12395 | − | 1.02284i | |||||
0 | 0 | |||||||||
18.9282 | + | 4.32025i | 1.69981 | + | 0.387970i | |||||
2.70151 | − | 11.8361i | 0.241631 | − | 1.05865i | |||||
0 | 0 | |||||||||
0.379767 | − | 0.0866794i | 0.0336989 | − | 0.00769155i | −0.205638 | − | 0.978628i | ||
0.239337 | + | 0.970937i | ||||||||
19.5541i | 1.72835i | |||||||||
0 | 0 | |||||||||
−10.3731 | + | 21.5400i | −0.909782 | + | 1.88918i | |||||
0.329927 | − | 0.685100i | 0.0288258 | − | 0.0598575i | −0.886059 | − | 0.463573i | ||
0.914885 | + | 0.403716i | ||||||||
0 | 0 | |||||||||
15.0997i | 1.30931i | |||||||||
29.3001 | − | 6.68756i | 2.53114 | − | 0.577717i | |||||
0 | 0 | |||||||||
−4.80934 | + | 21.0711i | −0.412397 | + | 1.80683i | |||||
14.5588 | + | 3.32295i | 1.24384 | + | 0.283899i | 0.793285 | − | 0.608850i | ||
0.450555 | + | 0.892749i | ||||||||
0 | 0 | |||||||||
−3.29720 | − | 1.58785i | −0.279665 | − | 0.134679i | 0.288794 | − | 0.957391i | ||
−0.568459 | + | 0.822712i | ||||||||
−19.8324 | + | 9.55077i | −1.67614 | + | 0.807187i | |||||
0 | 0 | |||||||||
−6.12036 | + | 4.88083i | −0.513609 | + | 0.409590i | |||||
−1.94588 | − | 4.04067i | −0.162723 | − | 0.337898i | |||||
0 | 0 | |||||||||
10.1807 | − | 1.05445i | 0.845458 | − | 0.0875671i | |||||
2.27532 | 0.188307 | |||||||||
0 | 0 | |||||||||
25.7711 | − | 20.5518i | 2.11837 | − | 1.68935i | |||||
−9.67852 | + | 12.1365i | −0.792896 | + | 0.994260i | 0.206978 | + | 0.978346i | ||
−0.999873 | + | 0.0159140i | ||||||||
0 | 0 | |||||||||
5.93334 | + | 2.85734i | 0.482848 | + | 0.232527i | 0.659441 | − | 0.751757i | ||
−0.176593 | + | 0.984284i | ||||||||
−8.85390 | − | 11.1024i | −0.718146 | − | 0.900526i | |||||
0 | 0 | |||||||||
1.46157 | − | 6.40357i | 0.117777 | − | 0.516015i | |||||
8.52023 | + | 6.79466i | 0.684361 | + | 0.545760i | |||||
0 | 0 | |||||||||
− | 10.0667i | − | 0.803407i | −0.915770 | − | 0.401704i | ||||
0.915770 | − | 0.401704i | ||||||||
−2.51370 | − | 11.0133i | −0.199980 | − | 0.876168i | |||||
0 | 0 | |||||||||
−3.97857 | + | 8.26159i | −0.314534 | + | 0.653136i | |||||
−0.117614 | − | 0.515302i | −0.00926931 | − | 0.0406115i | |||||
0 | 0 | |||||||||
1.44138 | − | 0.328985i | 0.112897 | − | 0.0257681i | −0.165699 | − | 0.986176i | ||
0.278596 | + | 0.960408i | ||||||||
14.3886 | + | 11.4745i | 1.12356 | + | 0.896009i | |||||
0 | 0 | |||||||||
−17.4859 | − | 3.99104i | −1.35717 | − | 0.309765i | |||||
7.77867 | + | 9.75414i | 0.601931 | + | 0.754798i | 0.985678 | − | 0.168640i | ||
−0.383746 | + | 0.923439i | ||||||||
0 | 0 | |||||||||
−14.7555 | + | 7.10586i | −1.13504 | + | 0.546605i | |||||
−18.4781 | + | 23.1708i | −1.41721 | + | 1.77712i | |||||
0 | 0 | |||||||||
−6.56123 | − | 13.6245i | −0.500289 | − | 1.03886i | |||||
2.64519 | 0.201110 | 0.100555 | − | 0.994931i | ||||||
0.100555 | + | 0.994931i | ||||||||
0 | 0 | |||||||||
4.74636 | 0.358791 | |||||||||
0.248886 | + | 0.516817i | 0.0187605 | + | 0.0389566i | |||||
0 | 0 | |||||||||
−6.73914 | + | 8.45061i | −0.505120 | + | 0.633400i | |||||
−5.72859 | + | 2.75874i | −0.428175 | + | 0.206198i | −0.635544 | − | 0.772065i | ||
0.207369 | + | 0.978263i | ||||||||
0 | 0 | |||||||||
−10.7455 | − | 13.4744i | −0.798705 | − | 1.00154i | −0.999759 | − | 0.0219643i | ||
0.201054 | − | 0.979580i | ||||||||
−41.9461 | − | 9.57391i | −3.10925 | − | 0.709666i | |||||
0 | 0 | |||||||||
0.388634 | + | 0.309925i | 0.0286505 | + | 0.0228480i | |||||
18.0382 | − | 4.11710i | 1.32619 | − | 0.302695i | |||||
0 | 0 | |||||||||
−1.23711 | − | 5.42012i | −0.0904663 | − | 0.396359i | |||||
−1.78831 | + | 3.71347i | −0.130426 | + | 0.270833i | |||||
0 | 0 | |||||||||
−4.33301 | − | 18.9842i | −0.314350 | − | 1.37726i | |||||
− | 16.4482i | − | 1.19015i | −0.803671 | − | 0.595074i | ||||
0.803671 | − | 0.595074i | ||||||||
0 | 0 | |||||||||
−9.77612 | − | 7.79620i | −0.703701 | − | 0.561183i | 0.204933 | − | 0.978776i | ||
−0.908634 | + | 0.417593i | ||||||||
5.17160 | − | 22.6583i | 0.371299 | − | 1.62677i | |||||
0 | 0 | |||||||||
−9.92070 | − | 12.4402i | −0.708621 | − | 0.888583i | |||||
−12.7451 | − | 6.13771i | −0.908050 | − | 0.437294i | −0.0792604 | − | 0.996854i | ||
−0.828790 | + | 0.559560i | ||||||||
0 | 0 | |||||||||
8.05509 | − | 10.1008i | 0.571010 | − | 0.716024i | −0.409540 | − | 0.912292i | ||
0.980550 | + | 0.196268i | ||||||||
−3.48989 | + | 2.78310i | −0.246773 | + | 0.196795i | |||||
0 | 0 | |||||||||
35.2347 | 2.47911 | |||||||||
5.92694 | + | 17.4398i | 0.415989 | + | 1.22403i | |||||
0 | 0 | |||||||||
4.48207 | + | 9.30711i | 0.313041 | + | 0.650037i | |||||
−0.378970 | + | 0.302219i | −0.0264041 | + | 0.0210566i | |||||
0 | 0 | |||||||||
3.38537 | − | 1.63031i | 0.234733 | − | 0.113041i | |||||
3.29107 | + | 1.58490i | 0.227648 | + | 0.109629i | |||||
0 | 0 | |||||||||
13.4042 | + | 3.05943i | 0.922787 | + | 0.210620i | 0.657417 | − | 0.753527i | ||
0.265369 | + | 0.964147i | ||||||||
−0.351164 | + | 1.53855i | −0.0241181 | + | 0.105668i | |||||
0 | 0 | |||||||||
5.82426 | − | 1.32935i | 0.398138 | − | 0.0908724i | |||||
− | 8.48813i | − | 0.578886i | |||||||
0 | 0 | |||||||||
−8.50931 | + | 17.6698i | −0.577650 | + | 1.19950i | |||||
1.16018 | − | 2.40914i | 0.0785772 | − | 0.163167i | |||||
0 | 0 | |||||||||
5.32507i | 0.359016i | |||||||||
−35.5041 | + | 8.10357i | −2.38826 | + | 0.545105i | |||||
0 | 0 | |||||||||
3.00379 | − | 13.1605i | 0.201149 | − | 0.881291i | −0.769090 | − | 0.639141i | ||
0.970239 | − | 0.242150i | ||||||||
−16.0883 | − | 3.67204i | −1.07494 | − | 0.245349i | |||||
0 | 0 | |||||||||
9.09384 | + | 4.37936i | 0.604913 | + | 0.291311i | |||||
−24.2997 | + | 11.7021i | −1.61283 | + | 0.776698i | −0.999910 | − | 0.0134459i | ||
−0.612921 | + | 0.790144i | ||||||||
0 | 0 | |||||||||
8.53536 | − | 6.80672i | 0.564032 | − | 0.449801i | −0.299499 | − | 0.954097i | ||
0.863531 | + | 0.504296i | ||||||||
0.295744 | + | 0.614118i | 0.0195008 | + | 0.0404937i | |||||
0 | 0 | |||||||||
−14.5840 | − | 9.34775i | −0.957488 | − | 0.613710i | |||||
5.48306 | 0.359207 | 0.179604 | − | 0.983739i | ||||||
0.179604 | + | 0.983739i | ||||||||
0 | 0 | |||||||||
−1.80877 | + | 1.44245i | −0.117991 | + | 0.0940949i | |||||
24.4737 | − | 30.6890i | 1.59310 | − | 1.99768i | |||||
0 | 0 | |||||||||
−48.0531 | − | 23.1412i | −3.11482 | − | 1.50002i | |||||
0.474367 | + | 0.594838i | 0.0306843 | + | 0.0384769i | 0.796937 | − | 0.604063i | ||
−0.766253 | + | 0.642539i | ||||||||
0 | 0 | |||||||||
−5.57063 | + | 24.4065i | −0.358836 | + | 1.57216i | 0.397263 | + | 0.917705i | ||
−0.756098 | + | 0.654458i | ||||||||
18.7168 | + | 14.9262i | 1.20316 | + | 0.959490i | |||||
0 | 0 | |||||||||
37.9904i | 2.43208i | |||||||||
−1.98739 | − | 8.70734i | −0.126970 | − | 0.556292i | |||||
0 | 0 | |||||||||
10.3817 | − | 21.5579i | 0.660573 | − | 1.37169i | |||||
−4.10422 | − | 17.9817i | −0.260618 | − | 1.14184i | |||||
0 | 0 | |||||||||
−27.4691 | + | 6.26964i | −1.73730 | + | 0.396527i | |||||
8.20753 | + | 6.54528i | 0.518054 | + | 0.413135i | 0.847304 | − | 0.531108i | ||
−0.329249 | + | 0.944243i | ||||||||
0 | 0 | |||||||||
−0.124659 | − | 0.0284525i | −0.00783722 | − | 0.00178879i | |||||
−0.563650 | − | 0.706795i | −0.0353666 | − | 0.0443483i | |||||
0 | 0 | |||||||||
18.2123 | − | 8.77060i | 1.13827 | − | 0.548162i | |||||
0.169465 | − | 0.212503i | 0.0105710 | − | 0.0132556i | −0.776518 | − | 0.630095i | ||
0.787089 | + | 0.616840i | ||||||||
0 | 0 | |||||||||
14.4470 | + | 29.9995i | 0.897691 | + | 1.86408i | |||||
34.8814 | 2.16325 | |||||||||
0 | 0 | |||||||||
−1.76474 | −0.109026 | |||||||||
−3.18585 | − | 6.61549i | −0.196448 | − | 0.407929i | 0.779354 | − | 0.626584i | ||
−0.975802 | + | 0.218655i | ||||||||
0 | 0 | |||||||||
−0.552293 | + | 0.692553i | −0.0339271 | + | 0.0425432i | |||||
31.5727 | − | 15.2046i | 1.93585 | − | 0.932255i | |||||
0 | 0 | |||||||||
−27.3391 | − | 34.2822i | −1.67000 | − | 2.09412i | |||||
29.2703 | + | 6.68076i | 1.78464 | + | 0.407333i | 0.981962 | − | 0.189077i | ||
0.802680 | + | 0.596410i | ||||||||
0 | 0 | |||||||||
−0.137209 | − | 0.109421i | −0.00833488 | − | 0.00664684i | 0.619314 | − | 0.785144i | ||
−0.627648 | + | 0.778497i | ||||||||
4.54111 | − | 1.03648i | 0.275345 | − | 0.0628457i | |||||
0 | 0 | |||||||||
−7.71185 | − | 33.7878i | −0.465890 | − | 2.04120i | |||||
0.498190 | − | 1.03450i | 0.0300420 | − | 0.0623828i | |||||
0 | 0 | |||||||||
−0.652185 | − | 2.85741i | −0.0391860 | − | 0.171685i | 0.951548 | − | 0.307499i | ||
−0.990734 | + | 0.135814i | ||||||||
8.49318i | 0.509387i | |||||||||
0 | 0 | |||||||||
16.3493 | + | 13.0381i | 0.977059 | + | 0.779178i | |||||
−2.26831 | + | 9.93812i | −0.135316 | + | 0.592858i | 0.861112 | + | 0.508415i | ||
−0.996428 | + | 0.0844434i | ||||||||
0 | 0 | |||||||||
11.9907 | + | 15.0359i | 0.712773 | + | 0.893789i | 0.997905 | − | 0.0646996i | ||
−0.285132 | + | 0.958488i | ||||||||
10.2904 | + | 4.95560i | 0.610623 | + | 0.294061i | |||||
0 | 0 | |||||||||
−6.48946 | + | 8.13752i | −0.383730 | + | 0.481182i | |||||
−14.5345 | + | 11.5909i | −0.857947 | + | 0.684190i | |||||
0 | 0 | |||||||||
−28.1439 | −1.65552 | |||||||||
−12.4562 | − | 20.2256i | −0.731456 | − | 1.18769i | |||||
0 | 0 | |||||||||
−1.44037 | − | 2.99096i | −0.0842912 | − | 0.175033i | |||||
−8.69694 | + | 6.93558i | −0.508081 | + | 0.405181i | −0.843699 | − | 0.536817i | ||
0.335618 | + | 0.941998i | ||||||||
0 | 0 | |||||||||
19.8509 | − | 9.55968i | 1.15576 | − | 0.556586i | |||||
−28.2131 | − | 13.5867i | −1.63986 | − | 0.789713i | |||||
0 | 0 | |||||||||
35.1227 | + | 8.01652i | 2.03460 | + | 0.464385i | |||||
−0.186376 | + | 0.816566i | −0.0107784 | + | 0.0472232i | |||||
0 | 0 | |||||||||
14.8925 | − | 3.39912i | 0.858390 | − | 0.195922i | |||||
− | 15.2836i | − | 0.879470i | |||||||
0 | 0 | |||||||||
−1.32786 | + | 2.75733i | −0.0761581 | + | 0.158144i | |||||
−9.25225 | + | 19.2125i | −0.529782 | + | 1.10010i | |||||
0 | 0 | |||||||||
− | 3.09566i | − | 0.176678i | −0.996090 | − | 0.0883392i | ||||
0.996090 | − | 0.0883392i | ||||||||
−9.34288 | + | 2.13245i | −0.532360 | + | 0.121508i | |||||
0 | 0 | |||||||||
5.62787 | − | 24.6573i | 0.319642 | − | 1.40044i | |||||
14.2761 | + | 3.25843i | 0.809523 | + | 0.184768i | 0.607199 | − | 0.794550i | ||
0.202325 | + | 0.979318i | ||||||||
0 | 0 | |||||||||
6.02573 | + | 2.90184i | 0.340594 | + | 0.164022i | 0.596360 | − | 0.802717i | ||
−0.255765 | + | 0.966739i | ||||||||
−21.0490 | + | 10.1366i | −1.18786 | + | 0.572044i | |||||
0 | 0 | |||||||||
−12.8859 | + | 10.2762i | −0.724889 | + | 0.578080i | |||||
2.41609 | + | 5.01705i | 0.135701 | + | 0.281786i | 0.957735 | − | 0.287653i | ||
−0.822034 | + | 0.569439i | ||||||||
0 | 0 | |||||||||
4.42323 | + | 0.538708i | 0.247653 | + | 0.0301619i | |||||
23.9161 | 1.33695 | |||||||||
0 | 0 | |||||||||
−0.959043 | + | 0.764811i | −0.0534454 | + | 0.0426213i | |||||
18.4935 | − | 23.1901i | 1.02900 | − | 1.29033i | |||||
0 | 0 | |||||||||
−6.77641 | − | 3.26335i | −0.375888 | − | 0.181018i | |||||
−2.13929 | − | 2.68259i | −0.118484 | − | 0.148575i | |||||
0 | 0 | |||||||||
3.89043 | − | 17.0451i | 0.214813 | − | 0.941157i | |||||
−3.25512 | − | 2.59587i | −0.179461 | − | 0.143115i | |||||
0 | 0 | |||||||||
34.6315i | 1.90352i | 0.306847 | + | 0.951759i | ||||||
−0.306847 | + | 0.951759i | ||||||||
5.82297 | + | 25.5121i | 0.319577 | + | 1.40016i | |||||
0 | 0 | |||||||||
12.5627 | − | 26.0868i | 0.687403 | − | 1.42741i | |||||
−5.47680 | − | 23.9954i | −0.299229 | − | 1.31101i | |||||
0 | 0 | |||||||||
8.60703 | − | 1.96450i | 0.468855 | − | 0.107013i | 0.0184351 | − | 0.999830i | ||
0.450419 | + | 0.892817i | ||||||||
29.7161 | + | 23.6978i | 1.61634 | + | 1.28899i | |||||
0 | 0 | |||||||||
42.1560 | + | 9.62184i | 2.28623 | + | 0.521818i | |||||
2.95809 | + | 3.70932i | 0.160189 | + | 0.200871i | |||||
0 | 0 | |||||||||
−7.09048 | + | 3.41460i | −0.382850 | + | 0.184371i | |||||
−8.95700 | + | 11.2317i | −0.482929 | + | 0.605574i | |||||
0 | 0 | |||||||||
−2.66358 | − | 5.53098i | −0.143195 | − | 0.297347i | |||||
−16.3136 | −0.875759 | −0.437880 | − | 0.899034i | ||||||
−0.437880 | + | 0.899034i | ||||||||
0 | 0 | |||||||||
−9.44632 | −0.505650 | −0.252825 | − | 0.967512i | ||||||
−0.252825 | + | 0.967512i | ||||||||
−4.77936 | − | 9.92444i | −0.255468 | − | 0.530484i | |||||
0 | 0 | |||||||||
−2.48901 | + | 3.12112i | −0.132665 | + | 0.166356i | |||||
13.4827 | − | 6.49294i | 0.717613 | − | 0.345584i | −0.0391859 | − | 0.999232i | ||
0.756799 | + | 0.653648i | ||||||||
0 | 0 | |||||||||
3.99717 | + | 5.01229i | 0.212148 | + | 0.266025i | |||||
15.3747 | + | 3.50917i | 0.814856 | + | 0.185986i | |||||
0 | 0 | |||||||||
11.5368 | + | 9.20031i | 0.609740 | + | 0.486252i | |||||
−15.0352 | + | 3.43168i | −0.793527 | + | 0.181117i | −0.600024 | − | 0.799982i | ||
−0.193503 | + | 0.981100i | ||||||||
0 | 0 | |||||||||
0.108713 | + | 0.476304i | 0.00572175 | + | 0.0250686i | |||||
−17.3542 | + | 36.0364i | −0.912118 | + | 1.89403i | |||||
0 | 0 | |||||||||
13.9684 | + | 61.1997i | 0.732145 | + | 3.20774i | |||||
− | 1.86338i | − | 0.0975336i | |||||||
0 | 0 | |||||||||
−26.0706 | − | 20.7906i | −1.36088 | − | 1.08526i | −0.987506 | − | 0.157580i | ||
−0.373370 | − | 0.927683i | ||||||||
0.0238382 | − | 0.104442i | 0.00124265 | − | 0.00544441i | |||||
0 | 0 | |||||||||
−26.7723 | − | 33.5714i | −1.39182 | − | 1.74529i | |||||
−1.43626 | − | 0.691666i | −0.0745668 | − | 0.0359095i | |||||
0 | 0 | |||||||||
−2.02994 | + | 2.54547i | −0.105106 | + | 0.131799i | −0.831602 | − | 0.555371i | ||
0.726496 | + | 0.687171i | ||||||||
−10.0875 | + | 8.04454i | −0.521614 | + | 0.415973i | |||||
0 | 0 | |||||||||
3.91554 | 0.201929 | |||||||||
3.52876 | − | 28.9740i | 0.181741 | − | 1.49224i | |||||
0 | 0 | |||||||||
−11.2522 | − | 23.3653i | −0.577984 | − | 1.20020i | −0.961024 | − | 0.276465i | ||
0.383040 | − | 0.923732i | ||||||||
−22.2122 | + | 17.7136i | −1.13946 | + | 0.908689i | |||||
0 | 0 | |||||||||
−34.3924 | + | 16.5625i | −1.75967 | + | 0.847412i | |||||
−26.6637 | − | 12.8406i | −1.36245 | − | 0.656123i | −0.397272 | − | 0.917701i | ||
−0.965182 | + | 0.261578i | ||||||||
0 | 0 | |||||||||
−5.24422 | − | 1.19696i | −0.267270 | − | 0.0610027i | |||||
−6.45743 | + | 28.2918i | −0.328675 | + | 1.44002i | |||||
0 | 0 | |||||||||
−33.0586 | + | 7.54542i | −1.67830 | + | 0.383061i | |||||
11.6584i | 0.591103i | 0.955327 | + | 0.295551i | ||||||
−0.955327 | + | 0.295551i | ||||||||
0 | 0 | |||||||||
−0.450490 | + | 0.935452i | −0.0227823 | + | 0.0473078i | |||||
−6.55855 | + | 13.6190i | −0.331257 | + | 0.687862i | |||||
0 | 0 | |||||||||
32.8298i | 1.65394i | |||||||||
−9.01934 | + | 2.05861i | −0.453812 | + | 0.103580i | |||||
0 | 0 | |||||||||
−4.79777 | + | 21.0204i | −0.240793 | + | 1.05498i | 0.699504 | + | 0.714628i | ||
−0.940297 | + | 0.340354i | ||||||||
−29.2314 | − | 6.67187i | −1.46524 | − | 0.334430i | |||||
0 | 0 | |||||||||
0.866730 | + | 0.417395i | 0.0433365 | + | 0.0208697i | |||||
18.0240 | − | 8.67991i | 0.900077 | − | 0.433454i | 0.0741601 | − | 0.997246i | ||
0.825917 | + | 0.563792i | ||||||||
0 | 0 | |||||||||
24.2976 | − | 19.3767i | 1.21035 | − | 0.965222i | |||||
−22.3050 | − | 46.3169i | −1.10972 | − | 2.30435i | |||||
0 | 0 | |||||||||
30.4977 | − | 29.9540i | 1.51358 | − | 1.48659i | |||||
8.05497 | 0.399270 | |||||||||
0 | 0 | |||||||||
−22.2527 | + | 17.7460i | −1.10033 | + | 0.877482i | −0.993160 | − | 0.116759i | ||
−0.107167 | + | 0.994241i | ||||||||
14.9475 | − | 18.7436i | 0.738207 | − | 0.925682i | |||||
0 | 0 | |||||||||
0.637178 | + | 0.306849i | 0.0313915 | + | 0.0151173i | |||||
24.7219 | + | 31.0003i | 1.21649 | + | 1.52543i | |||||
0 | 0 | |||||||||
−3.26848 | + | 14.3201i | −0.160443 | + | 0.702947i | |||||
20.4446 | + | 16.3040i | 1.00238 | + | 0.799372i | |||||
0 | 0 | |||||||||
− | 8.47740i | − | 0.414643i | |||||||
−2.46307 | − | 10.7914i | −0.120329 | − | 0.527196i | −0.998781 | − | 0.0493649i | ||
0.878452 | − | 0.477831i | ||||||||
0 | 0 | |||||||||
−11.6154 | + | 24.1196i | −0.566099 | + | 1.17552i | 0.399802 | + | 0.916602i | ||
−0.965900 | + | 0.258914i | ||||||||
−7.10029 | − | 31.1084i | −0.345637 | − | 1.51433i | |||||
0 | 0 | |||||||||
1.46162 | − | 0.333605i | 0.0709824 | − | 0.0162013i | |||||
−7.28948 | − | 5.81316i | −0.353592 | − | 0.281980i | |||||
0 | 0 | |||||||||
−37.4136 | − | 8.53941i | −1.81057 | − | 0.413251i | |||||
−5.43445 | − | 6.81459i | −0.262684 | − | 0.329396i | |||||
0 | 0 | |||||||||
−17.7483 | + | 8.54714i | −0.855900 | + | 0.412180i | |||||
−20.6592 | + | 25.9059i | −0.995120 | + | 1.24784i | −0.0264091 | + | 0.999651i | ||
−0.968711 | + | 0.248190i | ||||||||
0 | 0 | |||||||||
−2.30859 | − | 4.79384i | −0.110944 | − | 0.230377i | 0.838103 | − | 0.545512i | ||
−0.949047 | + | 0.315135i | ||||||||
45.5152 | 2.18480 | |||||||||
0 | 0 | |||||||||
−3.90131 | −0.186839 | |||||||||
−0.295989 | − | 0.614628i | −0.0141591 | − | 0.0294016i | |||||
0 | 0 | |||||||||
19.4239 | − | 24.3568i | 0.927053 | − | 1.16249i | −0.0593651 | − | 0.998236i | ||
0.986418 | − | 0.164252i | ||||||||
4.55781 | − | 2.19493i | 0.217285 | − | 0.104639i | |||||
0 | 0 | |||||||||
52.6951 | + | 66.0776i | 2.50645 | + | 3.14299i | |||||
12.5788 | + | 2.87103i | 0.597636 | + | 0.136407i | 0.510629 | − | 0.859801i | ||
0.0870071 | + | 0.996208i | ||||||||
0 | 0 | |||||||||
6.92065 | + | 5.51903i | 0.328070 | + | 0.261627i | |||||
−30.5427 | + | 6.97117i | −1.44624 | + | 0.330094i | |||||
0 | 0 | |||||||||
9.57731 | + | 41.9609i | 0.452485 | + | 1.98247i | |||||
14.6872 | − | 30.4983i | 0.693132 | − | 1.43930i | −0.195509 | − | 0.980702i | ||
0.888642 | − | 0.458602i | ||||||||
0 | 0 | |||||||||
1.00074 | + | 4.38451i | 0.0471228 | + | 0.206458i | |||||
− | 14.7264i | − | 0.692671i | |||||||
0 | 0 | |||||||||
48.9373 | + | 39.0262i | 2.29674 | + | 1.83159i | |||||
−7.84058 | + | 34.3518i | −0.367572 | + | 1.61044i | |||||
0 | 0 | |||||||||
4.76027 | + | 5.96919i | 0.222676 | + | 0.279227i | 0.880603 | − | 0.473855i | ||
−0.657927 | + | 0.753082i | ||||||||
−22.8273 | − | 10.9930i | −1.06665 | − | 0.513670i | |||||
0 | 0 | |||||||||
0.620054 | − | 0.777523i | 0.0289102 | − | 0.0362522i | |||||
13.2633 | − | 10.5771i | 0.617731 | − | 0.492624i | −0.263908 | − | 0.964548i | ||
0.881639 | + | 0.471924i | ||||||||
0 | 0 | |||||||||
−9.31660 | −0.432979 | −0.216490 | − | 0.976285i | ||||||
−0.216490 | + | 0.976285i | ||||||||
−0.451342 | + | 3.70588i | −0.0209530 | + | 0.172041i | |||||
0 | 0 | |||||||||
−5.52118 | − | 11.4648i | −0.255764 | − | 0.531099i | |||||
19.8211 | − | 15.8068i | 0.917212 | − | 0.731452i | −0.0463531 | − | 0.998925i | ||
0.963565 | + | 0.267473i | ||||||||
0 | 0 | |||||||||
39.9069 | − | 19.2182i | 1.84273 | − | 0.887413i | |||||
4.83744 | + | 2.32959i | 0.223135 | + | 0.107456i | |||||
0 | 0 | |||||||||
−36.3550 | − | 8.29778i | −1.67337 | − | 0.381936i | |||||
0.822293 | − | 3.60270i | 0.0378091 | − | 0.165652i | |||||
0 | 0 | |||||||||
5.97236 | − | 1.36315i | 0.274031 | − | 0.0625458i | |||||
77.8162i | 3.56670i | |||||||||
0 | 0 | |||||||||
0.766115 | − | 1.59086i | 0.0350413 | − | 0.0727640i | |||||
9.99005 | − | 20.7446i | 0.456457 | − | 0.947843i | −0.538024 | − | 0.842929i | ||
0.994481 | − | 0.104914i | ||||||||
0 | 0 | |||||||||
− | 52.7634i | − | 2.40580i | |||||||
56.6424 | − | 12.9282i | 2.57999 | − | 0.588866i | |||||
0 | 0 | |||||||||
7.77228 | − | 34.0526i | 0.353285 | − | 1.54784i | |||||
−18.5560 | − | 4.23530i | −0.842586 | − | 0.192315i | |||||
0 | 0 | |||||||||
−1.38231 | − | 0.665685i | −0.0626384 | − | 0.0301651i | 0.402302 | − | 0.915507i | ||
−0.464941 | + | 0.885342i | ||||||||
32.5166 | − | 15.6592i | 1.47196 | − | 0.708857i | |||||
0 | 0 | |||||||||
−16.2055 | + | 12.9234i | −0.732089 | + | 0.583821i | |||||
8.74266 | + | 18.1543i | 0.394551 | + | 0.819293i | 0.999731 | + | 0.0232042i | ||
−0.605180 | + | 0.796089i | ||||||||
0 | 0 | |||||||||
12.2570 | − | 34.0432i | 0.552027 | − | 1.53323i | |||||
−55.5305 | −2.49843 | |||||||||
0 | 0 | |||||||||
−3.10776 | + | 2.47835i | −0.139542 | + | 0.111281i | |||||
−7.19342 | + | 9.02026i | −0.322669 | + | 0.404614i | |||||
0 | 0 | |||||||||
31.2688 | + | 15.0583i | 1.39978 | + | 0.674100i | 0.973117 | − | 0.230309i | ||
0.426666 | + | 0.904409i | ||||||||
25.6306 | + | 32.1398i | 1.14624 | + | 1.43734i | |||||
0 | 0 | |||||||||
5.42132 | − | 23.7524i | 0.241966 | − | 1.06012i | |||||
−22.5450 | − | 17.9790i | −1.00523 | − | 0.801646i | −0.0250384 | − | 0.999686i | ||
−0.980194 | + | 0.198041i | ||||||||
0 | 0 | |||||||||
− | 28.8556i | − | 1.28406i | |||||||
0.0660322 | + | 0.289306i | 0.00293549 | + | 0.0128612i | |||||
0 | 0 | |||||||||
−0.572285 | + | 1.18836i | −0.0253910 | + | 0.0527250i | |||||
−0.690039 | − | 3.02326i | −0.0305854 | − | 0.134004i | 0.957330 | − | 0.288997i | ||
−0.987916 | + | 0.154993i | ||||||||
0 | 0 | |||||||||
3.26931 | − | 0.746199i | 0.144626 | − | 0.0330099i | |||||
−6.10192 | − | 4.86612i | −0.269669 | − | 0.215054i | |||||
0 | 0 | |||||||||
−0.614978 | − | 0.140365i | −0.0271255 | − | 0.00619122i | |||||
0.247503 | + | 0.310359i | 0.0109063 | + | 0.0136760i | |||||
0 | 0 | |||||||||
−0.907452 | + | 0.437006i | −0.0399097 | + | 0.0192195i | |||||
48.1802 | − | 60.4160i | 2.11691 | − | 2.65453i | |||||
0 | 0 | |||||||||
−14.3777 | − | 29.8556i | −0.630503 | − | 1.30925i | |||||
−33.4475 | −1.46536 | −0.732680 | − | 0.680573i | ||||||
−0.732680 | + | 0.680573i | ||||||||
0 | 0 | |||||||||
−23.5081 | −1.02794 | −0.513969 | − | 0.857809i | ||||||
−0.513969 | + | 0.857809i | ||||||||
1.11715 | + | 2.31979i | 0.0488029 | + | 0.101340i | |||||
0 | 0 | |||||||||
−10.6247 | + | 13.3230i | −0.463259 | + | 0.580909i | |||||
34.7099 | − | 16.7154i | 1.51199 | − | 0.728134i | |||||
0 | 0 | |||||||||
−14.3254 | − | 17.9635i | −0.622842 | − | 0.781020i | |||||
2.00423 | + | 0.457453i | 0.0870582 | + | 0.0198705i | |||||
0 | 0 | |||||||||
−39.9737 | − | 31.8779i | −1.73308 | − | 1.38208i | |||||
28.7204 | − | 6.55523i | 1.24402 | − | 0.283939i | |||||
0 | 0 | |||||||||
−1.08867 | − | 4.76979i | −0.0470675 | − | 0.206216i | |||||
−18.0738 | + | 37.5307i | −0.780671 | + | 1.62108i | |||||
0 | 0 | |||||||||
−15.5046 | − | 67.9302i | −0.668452 | − | 2.92868i | |||||
− | 3.88827i | − | 0.167480i | |||||||
0 | 0 | |||||||||
25.6227 | + | 20.4334i | 1.10161 | + | 0.878501i | 0.993294 | − | 0.115616i | ||
0.108312 | + | 0.994117i | ||||||||
−0.0906310 | + | 0.397081i | −0.00389294 | + | 0.0170561i | |||||
0 | 0 | |||||||||
20.2110 | + | 25.3438i | 0.866541 | + | 1.08661i | |||||
−1.97297 | − | 0.950132i | −0.0845127 | − | 0.0406992i | |||||
0 | 0 | |||||||||
−17.5465 | + | 22.0026i | −0.750235 | + | 0.940765i | −0.999618 | − | 0.0276401i | ||
0.249383 | + | 0.968405i | ||||||||
−39.5330 | + | 31.5265i | −1.68876 | + | 1.34675i | |||||
0 | 0 | |||||||||
−2.66475 | −0.113625 | |||||||||
12.4666 | + | 20.2423i | 0.531094 | + | 0.862353i | |||||
0 | 0 | |||||||||
−7.22368 | − | 15.0001i | −0.307182 | − | 0.637870i | |||||
−5.31800 | + | 4.24097i | −0.225940 | + | 0.180181i | |||||
0 | 0 | |||||||||
11.1645 | − | 5.37653i | 0.473480 | − | 0.228016i | |||||
11.9640 | + | 5.76157i | 0.506932 | + | 0.244125i | 0.669826 | − | 0.742518i | ||
−0.162894 | + | 0.986644i | ||||||||
0 | 0 | |||||||||
−23.5992 | − | 5.38636i | −0.998139 | − | 0.227819i | |||||
1.00284 | − | 4.39373i | 0.0423778 | − | 0.185669i | |||||
0 | 0 | |||||||||
23.0643 | − | 5.26426i | 0.972907 | − | 0.222060i | |||||
12.5201i | 0.527658i | 0.964569 | + | 0.263829i | ||||||
−0.964569 | + | 0.263829i | ||||||||
0 | 0 | |||||||||
3.58649 | − | 7.44743i | 0.150885 | − | 0.313316i | |||||
19.3653 | − | 40.2124i | 0.813983 | − | 1.69025i | |||||
0 | 0 | |||||||||
− | 10.8504i | − | 0.455271i | |||||||
−12.6153 | + | 2.87936i | −0.528860 | + | 0.120709i | −0.478610 | − | 0.878028i | ||
−0.0502506 | + | 0.998737i | ||||||||
0 | 0 | |||||||||
−4.56081 | + | 19.9822i | −0.190864 | + | 0.836229i | 0.785286 | + | 0.619133i | ||
−0.976150 | + | 0.217096i | ||||||||
14.8051 | + | 3.37916i | 0.619030 | + | 0.141290i | |||||
0 | 0 | |||||||||
38.8717 | + | 18.7196i | 1.62247 | + | 0.781342i | |||||
−0.193200 | + | 0.0930400i | −0.00805698 | + | 0.00388004i | |||||
0 | 0 | |||||||||
1.84202 | − | 1.46896i | 0.0766841 | − | 0.0611536i | −0.584398 | − | 0.811468i | ||
0.661082 | + | 0.750314i | ||||||||
28.3395 | + | 58.8476i | 1.17877 | + | 2.44774i | |||||
0 | 0 | |||||||||
−18.7016 | + | 29.1776i | −0.776544 | + | 1.21153i | |||||
−26.4337 | −1.09665 | |||||||||
0 | 0 | |||||||||
−0.301506 | + | 0.240443i | −0.0124871 | + | 0.00995814i | |||||
−1.96631 | + | 2.46567i | −0.0813663 | + | 0.102030i | |||||
0 | 0 | |||||||||
23.2594 | + | 11.2011i | 0.960837 | + | 0.462715i | |||||
−5.07686 | − | 6.36618i | −0.209544 | − | 0.262760i | 0.665942 | − | 0.746004i | ||
−0.875486 | + | 0.483244i | ||||||||
0 | 0 | |||||||||
−5.63255 | + | 24.6778i | −0.232085 | + | 1.01683i | |||||
−39.9778 | − | 31.8812i | −1.64586 | − | 1.31253i | |||||
0 | 0 | |||||||||
6.74864i | 0.277367i | |||||||||
7.80289 | + | 34.1867i | 0.320426 | + | 1.40388i | 0.836797 | + | 0.547514i | ||
−0.516370 | + | 0.856365i | ||||||||
0 | 0 | |||||||||
−18.9515 | + | 39.3532i | −0.776936 | + | 1.61333i | |||||
−11.6962 | − | 51.2444i | −0.479095 | − | 2.09905i | |||||
0 | 0 | |||||||||
1.89508 | − | 0.432539i | 0.0774954 | − | 0.0176878i | |||||
−20.1222 | − | 16.0469i | −0.822171 | − | 0.655659i | 0.119261 | − | 0.992863i | ||
−0.941432 | + | 0.337204i | ||||||||
0 | 0 | |||||||||
0.871592 | + | 0.198935i | 0.0355530 | + | 0.00811473i | 0.240260 | − | 0.970708i | ||
−0.204707 | + | 0.978823i | ||||||||
−22.1034 | − | 27.7168i | −0.900869 | − | 1.12965i | |||||
0 | 0 | |||||||||
−20.0906 | + | 9.67512i | −0.817475 | + | 0.393675i | |||||
12.2238 | − | 15.3282i | 0.496969 | − | 0.623180i | |||||
0 | 0 | |||||||||
−1.84678 | − | 3.83488i | −0.0749585 | − | 0.155653i | 0.860122 | − | 0.510088i | ||
−0.935080 | + | 0.354436i | ||||||||
−21.2985 | −0.863769 | |||||||||
0 | 0 | |||||||||
49.4891 | 2.00375 | |||||||||
2.86257 | + | 5.94419i | 0.115807 | + | 0.240476i | |||||
0 | 0 | |||||||||
8.60900 | − | 10.7953i | 0.347714 | − | 0.436020i | −0.576964 | − | 0.816770i | ||
0.924678 | + | 0.380750i | ||||||||
−6.47288 | + | 3.11718i | −0.261224 | + | 0.125799i | |||||
0 | 0 | |||||||||
5.67622 | + | 7.11775i | 0.228701 | + | 0.286782i | |||||
−4.99156 | − | 1.13929i | −0.200953 | − | 0.0458662i | 0.120860 | − | 0.992670i | ||
−0.321812 | + | 0.946803i | ||||||||
0 | 0 | |||||||||
−31.5229 | − | 25.1387i | −1.26701 | − | 1.01041i | −0.998894 | − | 0.0470219i | ||
−0.268118 | − | 0.963386i | ||||||||
−35.9753 | + | 8.21113i | −1.44480 | + | 0.329767i | |||||
0 | 0 | |||||||||
−7.56212 | − | 33.1318i | −0.303213 | − | 1.32846i | |||||
−6.91178 | + | 14.3525i | −0.276915 | + | 0.575019i | |||||
0 | 0 | |||||||||
3.59062 | + | 15.7315i | 0.143625 | + | 0.629261i | |||||
− | 15.5216i | − | 0.620366i | |||||||
0 | 0 | |||||||||
26.6497 | + | 21.2524i | 1.06344 | + | 0.848064i | |||||
14.5545 | − | 63.7673i | 0.580325 | − | 2.54257i | |||||
0 | 0 | |||||||||
1.53439 | + | 1.92407i | 0.0610832 | + | 0.0765959i | 0.811434 | − | 0.584443i | ||
−0.750351 | + | 0.661039i | ||||||||
14.1069 | + | 6.79355i | 0.561144 | + | 0.270233i | |||||
0 | 0 | |||||||||
8.05756 | − | 10.1039i | 0.320007 | − | 0.401276i | |||||
−0.578832 | + | 0.461603i | −0.0229702 | + | 0.0183182i | |||||
0 | 0 | |||||||||
−25.4698 | −1.00915 | |||||||||
−3.32756 | − | 9.79123i | −0.131739 | − | 0.387638i | |||||
0 | 0 | |||||||||
−16.1252 | − | 33.4843i | −0.637404 | − | 1.32358i | |||||
−13.3801 | + | 10.6703i | −0.528482 | + | 0.421450i | −0.851041 | − | 0.525099i | ||
0.322559 | + | 0.946549i | ||||||||
0 | 0 | |||||||||
−36.0341 | + | 17.3531i | −1.42105 | + | 0.684340i | −0.977309 | − | 0.211816i | ||
−0.443738 | + | 0.896157i | ||||||||
1.61248 | + | 0.776527i | 0.0635404 | + | 0.0305995i | |||||
0 | 0 | |||||||||
−67.1115 | − | 15.3178i | −2.64047 | − | 0.602669i | |||||
−1.67703 | + | 7.34755i | −0.0659308 | + | 0.288862i | −0.997136 | − | 0.0756346i | ||
0.931205 | + | 0.364496i | ||||||||
0 | 0 | |||||||||
9.35160 | − | 2.13444i | 0.367082 | − | 0.0837841i | |||||
17.4552i | 0.684650i | |||||||||
0 | 0 | |||||||||
−2.17206 | + | 4.51033i | −0.0850645 | + | 0.176638i | |||||
−17.3043 | + | 35.9328i | −0.677170 | + | 1.40616i | 0.224820 | + | 0.974400i | ||
−0.901990 | + | 0.431757i | ||||||||
0 | 0 | |||||||||
1.44524i | 0.0564700i | |||||||||
−3.67344 | + | 0.838440i | −0.143424 | + | 0.0327356i | |||||
0 | 0 | |||||||||
−2.15011 | + | 9.42023i | −0.0838199 | + | 0.367239i | |||||
−8.75482 | − | 1.99823i | −0.341039 | − | 0.0778400i | 0.0485712 | − | 0.998820i | ||
−0.389610 | + | 0.920980i | ||||||||
0 | 0 | |||||||||
−22.0949 | − | 10.6403i | −0.859390 | − | 0.413860i | −0.0483357 | − | 0.998831i | ||
−0.811054 | + | 0.584971i | ||||||||
72.4129 | − | 34.8722i | 2.81441 | − | 1.35535i | |||||
0 | 0 | |||||||||
19.4361 | − | 15.4998i | 0.754266 | − | 0.601507i | |||||
−12.4519 | − | 25.8566i | −0.482863 | − | 1.00267i | |||||
0 | 0 | |||||||||
−0.583116 | − | 0.593701i | −0.0225783 | − | 0.0229882i | |||||
−42.2444 | −1.63449 | |||||||||
0 | 0 | |||||||||
−44.6585 | + | 35.6140i | −1.72531 | + | 1.37589i | |||||
−5.78824 | + | 7.25822i | −0.223453 | + | 0.280201i | |||||
0 | 0 | |||||||||
19.2378 | + | 9.26446i | 0.741564 | + | 0.357119i | 0.766221 | − | 0.642577i | ||
−0.0246564 | + | 0.999696i | ||||||||
−12.7745 | − | 16.0188i | −0.492057 | − | 0.617020i | |||||
0 | 0 | |||||||||
12.3398 | − | 54.0642i | 0.474608 | − | 2.07939i | |||||
6.90970 | + | 5.51030i | 0.265561 | + | 0.211778i | 0.747213 | − | 0.664585i | ||
−0.481652 | + | 0.876363i | ||||||||
0 | 0 | |||||||||
− | 34.2528i | − | 1.31450i | |||||||
−9.14070 | − | 40.0480i | −0.350530 | − | 1.53577i | |||||
0 | 0 | |||||||||
4.77738 | − | 9.92034i | 0.182935 | − | 0.379869i | |||||
7.09180 | + | 31.0712i | 0.271360 | + | 1.18891i | 0.908409 | + | 0.418083i | ||
−0.637049 | + | 0.770823i | ||||||||
0 | 0 | |||||||||
−27.6706 | + | 6.31564i | −1.05724 | + | 0.241308i | |||||
14.2795 | + | 11.3876i | 0.545196 | + | 0.434779i | |||||
0 | 0 | |||||||||
3.01843 | + | 0.688936i | 0.115076 | + | 0.0262654i | |||||
1.57500 | + | 1.97499i | 0.0600028 | + | 0.0752412i | |||||
0 | 0 | |||||||||
6.23726 | − | 3.00371i | 0.237277 | − | 0.114266i | −0.311467 | − | 0.950257i | ||
0.548744 | + | 0.835990i | ||||||||
−5.58445 | + | 7.00267i | −0.212289 | + | 0.266202i | |||||
0 | 0 | |||||||||
16.4270 | + | 34.1110i | 0.623560 | + | 1.29484i | |||||
6.95551 | 0.263838 | |||||||||
0 | 0 | |||||||||
36.5183 | 1.38323 | |||||||||
9.51199 | + | 19.7518i | 0.360034 | + | 0.747618i | |||||
0 | 0 | |||||||||
−10.0204 | + | 12.5652i | −0.378735 | + | 0.474918i | |||||
−40.3171 | + | 19.4157i | −1.52276 | + | 0.733321i | −0.993359 | − | 0.115052i | ||
−0.529398 | + | 0.848374i | ||||||||
0 | 0 | |||||||||
26.7945 | + | 33.5992i | 1.01057 | + | 1.26722i | |||||
10.1509 | + | 2.31688i | 0.382577 | + | 0.0873208i | |||||
0 | 0 | |||||||||
−27.1529 | − | 21.6537i | −1.02191 | − | 0.814949i | |||||
50.6274 | − | 11.5554i | 1.90404 | − | 0.434584i | |||||
0 | 0 | |||||||||
1.40825 | + | 6.16993i | 0.0528878 | + | 0.231717i | 0.994463 | − | 0.105086i | ||
−0.941575 | + | 0.336802i | ||||||||
6.45552 | − | 13.4050i | 0.242272 | − | 0.503082i | |||||
0 | 0 | |||||||||
−3.33369 | − | 14.6059i | −0.124935 | − | 0.547378i | |||||
− | 0.886046i | − | 0.0331827i | |||||||
0 | 0 | |||||||||
6.66424 | + | 5.31456i | 0.249229 | + | 0.198753i | |||||
4.79074 | − | 20.9896i | 0.179038 | − | 0.784418i | |||||
0 | 0 | |||||||||
22.3152 | + | 27.9824i | 0.832797 | + | 1.04429i | |||||
41.6772 | + | 20.0707i | 1.55430 | + | 0.748511i | 0.996667 | − | 0.0815773i | ||
0.557632 | + | 0.830088i | ||||||||
0 | 0 | |||||||||
−0.445413 | + | 0.558531i | −0.0165881 | + | 0.0208008i | |||||
0.886461 | − | 0.706929i | 0.0329907 | − | 0.0263092i | |||||
0 | 0 | |||||||||
58.3566 | 2.16881 | |||||||||
6.36290 | − | 3.91870i | 0.236312 | − | 0.145537i | |||||
0 | 0 | |||||||||
−9.14331 | − | 18.9863i | −0.339107 | − | 0.704162i | 0.659774 | − | 0.751464i | ||
−0.998881 | + | 0.0473020i | ||||||||
46.6242 | − | 37.1816i | 1.72801 | − | 1.37804i | |||||
0 | 0 | |||||||||
−3.89624 | + | 1.87633i | −0.144206 | + | 0.0694461i | |||||
−27.0351 | − | 13.0194i | −0.999928 | − | 0.481540i | |||||
0 | 0 | |||||||||
30.5332 | + | 6.96900i | 1.12777 | + | 0.257406i | 0.745409 | − | 0.666607i | ||
0.382360 | + | 0.924013i | ||||||||
−17.2205 | + | 75.4477i | −0.635619 | + | 2.78483i | |||||
0 | 0 | |||||||||
0.726850 | − | 0.165899i | 0.0267920 | − | 0.00611511i | |||||
− | 10.7152i | − | 0.394698i | |||||||
0 | 0 | |||||||||
20.2629 | − | 42.0764i | 0.745383 | − | 1.54780i | −0.0886328 | − | 0.996064i | ||
0.834016 | − | 0.551740i | ||||||||
−27.1824 | + | 56.4448i | −0.999245 | + | 2.07495i | |||||
0 | 0 | |||||||||
3.69963i | 0.135818i | |||||||||
7.43840 | − | 1.69777i | 0.272889 | − | 0.0622850i | −0.0838866 | − | 0.996475i | ||
0.356775 | + | 0.934190i | ||||||||
0 | 0 | |||||||||
6.56515 | − | 28.7638i | 0.240529 | − | 1.05382i | |||||
7.36652 | + | 1.68136i | 0.269707 | + | 0.0615590i | |||||
0 | 0 | |||||||||
16.9606 | + | 8.16778i | 0.620140 | + | 0.298643i | |||||
7.93267 | − | 3.82017i | 0.289854 | − | 0.139586i | |||||
0 | 0 | |||||||||
−41.1510 | + | 32.8168i | −1.50162 | + | 1.19750i | −0.576923 | + | 0.816799i | ||
−0.924697 | + | 0.380703i | ||||||||
−0.366134 | − | 0.760285i | −0.0133515 | − | 0.0277247i | |||||
0 | 0 | |||||||||
−64.1366 | + | 21.7969i | −2.33572 | + | 0.793796i | |||||
−12.5165 | −0.455522 | |||||||||
0 | 0 | |||||||||
13.7753 | − | 10.9854i | 0.500671 | − | 0.399272i | −0.340329 | − | 0.940306i | ||
0.841000 | + | 0.541034i | ||||||||
−37.5255 | + | 47.0555i | −1.36299 | + | 1.70913i | |||||
0 | 0 | |||||||||
24.3169 | + | 11.7104i | 0.882068 | + | 0.424782i | |||||
0.853678 | + | 1.07048i | 0.0309458 | + | 0.0388048i | 0.797064 | − | 0.603895i | ||
−0.766118 | + | 0.642700i | ||||||||
0 | 0 | |||||||||
0.876929 | − | 3.84208i | 0.0317469 | − | 0.139092i | |||||
43.5436 | + | 34.7249i | 1.57535 | + | 1.25630i | |||||
0 | 0 | |||||||||
68.6826i | 2.48160i | |||||||||
−13.9815 | − | 61.2568i | −0.504842 | − | 2.21186i | |||||
0 | 0 | |||||||||
−6.94776 | + | 14.4272i | −0.250543 | + | 0.520257i | −0.987871 | − | 0.155278i | ||
0.737328 | + | 0.675535i | ||||||||
2.77789 | + | 12.1707i | 0.100108 | + | 0.438602i | |||||
0 | 0 | |||||||||
41.2781 | − | 9.42146i | 1.48563 | − | 0.339086i | |||||
−26.5907 | − | 21.2053i | −0.956399 | − | 0.762703i | 0.0150656 | − | 0.999887i | ||
−0.971465 | + | 0.237184i | ||||||||
0 | 0 | |||||||||
7.75712 | + | 1.77051i | 0.278644 | + | 0.0635987i | |||||
20.0846 | + | 25.1853i | 0.720995 | + | 0.904099i | |||||
0 | 0 | |||||||||
24.3771 | − | 11.7394i | 0.873963 | − | 0.420878i | |||||
−14.9600 | + | 18.7592i | −0.535996 | + | 0.672118i | |||||
0 | 0 | |||||||||
1.21099 | + | 2.51464i | 0.0433325 | + | 0.0899809i | |||||
2.40961 | 0.0861675 | |||||||||
0 | 0 | |||||||||
3.25768 | 0.116346 | |||||||||
8.30143 | + | 17.2381i | 0.296291 | + | 0.615254i | |||||
0 | 0 | |||||||||
−31.1762 | + | 39.0937i | −1.11131 | + | 1.39354i | −0.201014 | + | 0.979588i | ||
−0.910298 | + | 0.413953i | ||||||||
43.1556 | − | 20.7826i | 1.53735 | − | 0.740350i | |||||
0 | 0 | |||||||||
13.3865 | + | 16.7861i | 0.476270 | + | 0.597224i | |||||
14.5028 | + | 3.31017i | 0.515660 | + | 0.117696i | |||||
0 | 0 | |||||||||
47.5444 | + | 37.9154i | 1.68835 | + | 1.34641i | |||||
48.7838 | − | 11.1346i | 1.73127 | − | 0.395152i | |||||
0 | 0 | |||||||||
9.73433 | + | 42.6489i | 0.345024 | + | 1.51165i | |||||
−9.48100 | + | 19.6875i | −0.335834 | + | 0.697367i | −0.998679 | − | 0.0513901i | ||
0.662844 | + | 0.748757i | ||||||||
0 | 0 | |||||||||
1.81990 | + | 7.97349i | 0.0643833 | + | 0.282082i | |||||
6.69490i | 0.236700i | |||||||||
0 | 0 | |||||||||
−36.2986 | − | 28.9472i | −1.28175 | − | 1.02216i | |||||
0.180516 | − | 0.790891i | 0.00637026 | − | 0.0279099i | |||||
0 | 0 | |||||||||
0.626344 | + | 0.785411i | 0.0220757 | + | 0.0276821i | |||||
−64.9823 | − | 31.2938i | −2.28891 | − | 1.10228i | |||||
0 | 0 | |||||||||
−30.4495 | + | 38.1825i | −1.07121 | + | 1.34325i | |||||
−3.61100 | + | 2.87968i | −0.126956 | + | 0.101244i | −0.684909 | − | 0.728628i | ||
0.557953 | + | 0.829872i | ||||||||
0 | 0 | |||||||||
−5.86604 | −0.205985 | −0.102992 | − | 0.994682i | ||||||
−0.102992 | + | 0.994682i | ||||||||
−58.6816 | − | 21.1279i | −2.05932 | − | 0.741443i | |||||
0 | 0 | |||||||||
−8.11096 | − | 16.8426i | −0.284289 | − | 0.590332i | |||||
−2.19691 | + | 1.75198i | −0.0769544 | + | 0.0613691i | |||||
0 | 0 | |||||||||
17.7631 | − | 8.55424i | 0.621451 | − | 0.299275i | |||||
59.5135 | + | 28.6602i | 2.08084 | + | 1.00208i | |||||
0 | 0 | |||||||||
−34.1013 | − | 7.78341i | −1.19087 | − | 0.271808i | |||||
2.65143 | − | 11.6167i | 0.0925354 | − | 0.405424i | −0.907353 | − | 0.420370i | ||
0.999888 | + | 0.0149456i | ||||||||
0 | 0 | |||||||||
9.13650 | − | 2.08535i | 0.318478 | − | 0.0726906i | −0.0602935 | − | 0.998181i | ||
0.378772 | + | 0.925490i | ||||||||
− | 0.671850i | − | 0.0234050i | |||||||
0 | 0 | |||||||||
39.9265 | − | 82.9083i | 1.38922 | − | 2.88475i | |||||
−16.9637 | + | 35.2256i | −0.589887 | + | 1.22491i | 0.365845 | + | 0.930676i | ||
−0.955732 | + | 0.294238i | ||||||||
0 | 0 | |||||||||
6.57154i | 0.228239i | 0.993467 | + | 0.114119i | ||||||
−0.993467 | + | 0.114119i | ||||||||
33.2340 | − | 7.58544i | 1.15357 | − | 0.263294i | |||||
0 | 0 | |||||||||
15.1765 | − | 66.4928i | 0.526152 | − | 2.30522i | |||||
−30.7816 | − | 7.02569i | −1.06652 | − | 0.243426i | |||||
0 | 0 | |||||||||
−21.3639 | − | 10.2883i | −0.739327 | − | 0.356041i | |||||
−11.1437 | + | 5.36654i | −0.385414 | + | 0.185606i | |||||
0 | 0 | |||||||||
−20.0842 | + | 16.0166i | −0.693798 | + | 0.553285i | |||||
−8.06762 | − | 16.7526i | −0.278525 | − | 0.578363i | 0.714036 | − | 0.700109i | ||
−0.992561 | + | 0.121745i | ||||||||
0 | 0 | |||||||||
22.3442 | + | 18.4861i | 0.770490 | + | 0.637452i | |||||
62.1291 | 2.14111 | |||||||||
0 | 0 | |||||||||
−36.3979 | + | 29.0264i | −1.25287 | + | 0.999130i | |||||
19.4074 | − | 24.3361i | 0.667634 | − | 0.837187i | |||||
0 | 0 | |||||||||
31.7885 | + | 15.3085i | 1.09227 | + | 0.526008i | |||||
−0.201449 | − | 0.252609i | −0.00691779 | − | 0.00867463i | |||||
0 | 0 | |||||||||
−4.81492 | + | 21.0956i | −0.165151 | + | 0.723572i | |||||
−1.17612 | − | 0.937925i | −0.0403169 | − | 0.0321517i | |||||
0 | 0 | |||||||||
− | 15.0581i | − | 0.515578i | −0.966201 | − | 0.257789i | ||||
0.966201 | − | 0.257789i | ||||||||
19.8181 | + | 86.8290i | 0.678163 | + | 2.97123i | |||||
0 | 0 | |||||||||
−3.59270 | + | 7.46032i | −0.122796 | + | 0.254989i | |||||
1.46838 | + | 6.43339i | 0.0501589 | + | 0.219760i | 0.993795 | − | 0.111223i | ||
−0.943637 | + | 0.330983i | ||||||||
0 | 0 | |||||||||
−10.3600 | + | 2.36460i | −0.353479 | + | 0.0806792i | −0.395573 | − | 0.918434i | ||
0.0420946 | + | 0.999114i | ||||||||
22.4708 | + | 17.9199i | 0.766249 | + | 0.611063i | |||||
0 | 0 | |||||||||
74.9709 | + | 17.1116i | 2.55352 | + | 0.582824i | |||||
25.7393 | + | 32.2760i | 0.876175 | + | 1.09869i | 0.994398 | + | 0.105701i | ||
−0.118223 | + | 0.992987i | ||||||||
0 | 0 | |||||||||
−4.52961 | + | 2.18135i | −0.154011 | + | 0.0741680i | |||||
−7.69907 | + | 9.65433i | −0.261625 | + | 0.328067i | |||||
0 | 0 | |||||||||
−28.8130 | − | 59.8308i | −0.977977 | − | 2.03079i | |||||
−4.02759 | −0.136627 | |||||||||
0 | 0 | |||||||||
−70.1888 | −2.37826 | |||||||||
1.60807 | + | 3.33919i | 0.0544561 | + | 0.113079i | |||||
0 | 0 | |||||||||
−0.987113 | + | 1.23780i | −0.0333896 | + | 0.0418692i | |||||
−37.4130 | + | 18.0172i | −1.26479 | + | 0.609092i | |||||
0 | 0 | |||||||||
15.2676 | + | 19.1450i | 0.515550 | + | 0.646479i | 0.969657 | − | 0.244468i | ||
−0.454107 | + | 0.890947i | ||||||||
−70.4880 | − | 16.0884i | −2.37886 | − | 0.542958i | |||||
0 | 0 | |||||||||
−0.852383 | − | 0.679752i | −0.0287338 | − | 0.0229144i | |||||
−12.0649 | + | 2.75373i | −0.406476 | + | 0.0927755i | −0.420870 | − | 0.907121i | ||
0.0143941 | + | 0.999896i | ||||||||
0 | 0 | |||||||||
6.42165 | + | 28.1351i | 0.216106 | + | 0.946822i | 0.960324 | + | 0.278885i | ||
−0.744218 | + | 0.667936i | ||||||||
53.5023 | − | 111.099i | 1.79948 | − | 3.73666i | |||||
0 | 0 | |||||||||
−6.66304 | − | 29.1927i | −0.223849 | − | 0.980747i | |||||
46.9153i | 1.57526i | 0.616147 | + | 0.787631i | ||||||
−0.616147 | + | 0.787631i | ||||||||
0 | 0 | |||||||||
−1.04168 | − | 0.830714i | −0.0349369 | − | 0.0278613i | |||||
4.57130 | − | 20.0282i | 0.153230 | − | 0.671346i | |||||
0 | 0 | |||||||||
28.4985 | + | 35.7360i | 0.954201 | + | 1.19653i | |||||
−4.84146 | − | 2.33152i | −0.162013 | − | 0.0780215i | |||||
0 | 0 | |||||||||
7.53462 | − | 9.44812i | 0.251855 | − | 0.315816i | |||||
52.2911 | − | 41.7007i | 1.74692 | − | 1.39312i | |||||
0 | 0 | |||||||||
−78.5600 | −2.62158 | |||||||||
3.18108 | + | 30.7133i | 0.106095 | + | 1.02434i | |||||
0 | 0 | |||||||||
1.35868 | + | 2.82134i | 0.0452643 | + | 0.0939924i | |||||
8.16013 | − | 6.50748i | 0.271703 | − | 0.216676i | |||||
0 | 0 | |||||||||
−12.6045 | + | 6.07003i | −0.419221 | + | 0.201886i | |||||
29.5121 | + | 14.2123i | 0.981016 | + | 0.472432i | |||||
0 | 0 | |||||||||
20.6912 | + | 4.72262i | 0.687039 | + | 0.156812i | 0.551769 | − | 0.833997i | ||
0.135270 | + | 0.990809i | ||||||||
20.3215 | − | 89.0345i | 0.674394 | − | 2.95471i | |||||
0 | 0 | |||||||||
79.7233 | − | 18.1963i | 2.64280 | − | 0.603202i | |||||
− | 46.1944i | − | 1.53049i | −0.643739 | − | 0.765245i | ||||
0.643739 | − | 0.765245i | ||||||||
0 | 0 | |||||||||
−2.77454 | + | 5.76139i | −0.0918239 | + | 0.190674i | |||||
7.68796 | − | 15.9642i | 0.254295 | − | 0.528049i | |||||
0 | 0 | |||||||||
36.9660i | 1.22139i | |||||||||
−2.53568 | + | 0.578752i | −0.0837354 | + | 0.0191121i | |||||
0 | 0 | |||||||||
11.0939 | − | 48.6055i | 0.365954 | − | 1.60335i | −0.371824 | − | 0.928303i | ||
0.737777 | − | 0.675044i | ||||||||
−0.921074 | − | 0.210229i | −0.0303669 | − | 0.00693105i | |||||
0 | 0 | |||||||||
−35.4717 | − | 17.0823i | −1.16820 | − | 0.562575i | |||||
16.4719 | − | 7.93247i | 0.542180 | − | 0.261100i | |||||
0 | 0 | |||||||||
10.5614 | − | 8.42247i | 0.347258 | − | 0.276929i | |||||
9.38137 | + | 19.4806i | 0.308291 | + | 0.640173i | |||||
0 | 0 | |||||||||
−24.5994 | + | 8.36013i | −0.807514 | + | 0.274435i | |||||
−16.6870 | −0.547484 | −0.273742 | − | 0.961803i | ||||||
−0.273742 | + | 0.961803i | ||||||||
0 | 0 | |||||||||
16.2189 | − | 12.9342i | 0.531554 | − | 0.423900i | |||||
−11.5757 | + | 14.5154i | −0.379174 | + | 0.475469i | |||||
0 | 0 | |||||||||
−53.0103 | − | 25.5284i | −1.73455 | − | 0.835315i | |||||
6.58810 | + | 8.26122i | 0.215454 | + | 0.270171i | |||||
0 | 0 | |||||||||
5.03903 | − | 22.0775i | 0.164618 | − | 0.721239i | −0.823471 | − | 0.567358i | ||
0.988089 | − | 0.153881i | ||||||||
−80.3687 | − | 64.0919i | −2.62413 | − | 2.09268i | |||||
0 | 0 | |||||||||
− | 7.83366i | − | 0.255506i | |||||||
−0.897147 | − | 3.93066i | −0.0292461 | − | 0.128136i | 0.958197 | − | 0.286108i | ||
−0.987444 | + | 0.157972i | ||||||||
0 | 0 | |||||||||
0.364416 | − | 0.756717i | 0.0118670 | − | 0.0246421i | |||||
1.78828 | + | 7.83499i | 0.0582037 | + | 0.255007i | |||||
0 | 0 | |||||||||
−8.36110 | + | 1.90837i | −0.271843 | + | 0.0620463i | |||||
−22.0167 | − | 17.5577i | −0.715446 | − | 0.570549i | 0.196676 | − | 0.980469i | ||
−0.912122 | + | 0.409919i | ||||||||
0 | 0 | |||||||||
−5.18066 | − | 1.18245i | −0.168171 | − | 0.0383840i | |||||
−8.86418 | − | 11.1153i | −0.287592 | − | 0.360629i | |||||
0 | 0 | |||||||||
66.6042 | − | 32.0749i | 2.15865 | − | 1.03955i | |||||
−20.2660 | + | 25.4128i | −0.656482 | + | 0.823202i | −0.992955 | − | 0.118491i | ||
0.336473 | + | 0.941693i | ||||||||
0 | 0 | |||||||||
13.5639 | + | 28.1658i | 0.438918 | + | 0.911423i | |||||
−2.57620 | −0.0833202 | |||||||||
0 | 0 | |||||||||
−53.4355 | −1.72642 | |||||||||
−22.1617 | − | 46.0192i | −0.715639 | − | 1.48604i | |||||
0 | 0 | |||||||||
−1.17010 | + | 1.46726i | −0.0377451 | + | 0.0473309i | |||||
−110.326 | + | 53.1302i | −3.55705 | + | 1.71299i | |||||
0 | 0 | |||||||||
−52.8514 | − | 66.2736i | −1.70223 | − | 2.13453i | |||||
23.1697 | + | 5.28833i | 0.745859 | + | 0.170237i | |||||
0 | 0 | |||||||||
1.03303 | + | 0.823813i | 0.0332200 | + | 0.0264920i | 0.639959 | − | 0.768409i | ||
−0.606739 | + | 0.794901i | ||||||||
−32.3498 | + | 7.38363i | −1.03976 | + | 0.237319i | |||||
0 | 0 | |||||||||
9.82922 | + | 43.0646i | 0.315597 | + | 1.38272i | |||||
17.1222 | − | 35.5546i | 0.549478 | − | 1.14100i | −0.422594 | − | 0.906319i | ||
0.972072 | − | 0.234684i | ||||||||
0 | 0 | |||||||||
2.78537 | + | 12.2035i | 0.0892949 | + | 0.391227i | |||||
3.56066i | 0.114091i | |||||||||
0 | 0 | |||||||||
−6.08111 | − | 4.84952i | −0.194652 | − | 0.155229i | |||||
4.16227 | − | 18.2361i | 0.133163 | − | 0.583424i | −0.863681 | − | 0.504038i | ||
0.996844 | − | 0.0793858i | ||||||||
0 | 0 | |||||||||
2.40274 | + | 3.01294i | 0.0767918 | + | 0.0962939i | |||||
27.2469 | + | 13.1214i | 0.870370 | + | 0.419148i | |||||
0 | 0 | |||||||||
29.1565 | − | 36.5610i | 0.930420 | − | 1.16671i | |||||
6.29633 | − | 5.02115i | 0.200822 | − | 0.160150i | −0.517916 | − | 0.855432i | ||
0.718737 | + | 0.695282i | ||||||||
0 | 0 | |||||||||
26.8861 | 0.856662 | |||||||||
−83.5250 | + | 8.65098i | −2.65998 | + | 0.275503i | |||||
0 | 0 | |||||||||
35.1531 | + | 72.9961i | 1.11837 | + | 2.32231i | |||||
−0.539565 | + | 0.430289i | −0.0171572 | + | 0.0136824i | |||||
0 | 0 | |||||||||
−54.5016 | + | 26.2466i | −1.73130 | + | 0.833751i | −0.745359 | + | 0.666663i | ||
−0.985942 | + | 0.167087i | ||||||||
−24.9238 | − | 12.0027i | −0.791330 | − | 0.381085i | |||||
0 | 0 | |||||||||
26.1044 | + | 5.95816i | 0.827981 | + | 0.188981i | |||||
−5.46394 | + | 23.9391i | −0.173219 | + | 0.758921i | |||||
0 | 0 | |||||||||
2.89082 | − | 0.659811i | 0.0915532 | − | 0.0208964i | −0.176499 | − | 0.984301i | ||
0.268052 | + | 0.963404i | ||||||||
− | 80.5446i | − | 2.54960i | |||||||
0 | 0 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 261.2.o.b.154.1 | 24 | ||
3.2 | odd | 2 | 87.2.i.a.67.4 | yes | 24 | ||
29.10 | odd | 28 | 7569.2.a.bn.1.2 | 12 | |||
29.13 | even | 14 | inner | 261.2.o.b.100.1 | 24 | ||
29.19 | odd | 28 | 7569.2.a.bt.1.11 | 12 | |||
87.68 | even | 28 | 2523.2.a.v.1.11 | 12 | |||
87.71 | odd | 14 | 87.2.i.a.13.4 | ✓ | 24 | ||
87.77 | even | 28 | 2523.2.a.s.1.2 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
87.2.i.a.13.4 | ✓ | 24 | 87.71 | odd | 14 | ||
87.2.i.a.67.4 | yes | 24 | 3.2 | odd | 2 | ||
261.2.o.b.100.1 | 24 | 29.13 | even | 14 | inner | ||
261.2.o.b.154.1 | 24 | 1.1 | even | 1 | trivial | ||
2523.2.a.s.1.2 | 12 | 87.77 | even | 28 | |||
2523.2.a.v.1.11 | 12 | 87.68 | even | 28 | |||
7569.2.a.bn.1.2 | 12 | 29.10 | odd | 28 | |||
7569.2.a.bt.1.11 | 12 | 29.19 | odd | 28 |