Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [891,2,Mod(136,891)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(891, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([20, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("891.136");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 891.n (of order , degree , not 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 297) |
Sato-Tate group: |
Embedding invariants
Embedding label | 460.2 | ||
Character | 891.460 | ||
Dual form | 891.2.n.g.676.2 |
-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
−0.448085 | − | 0.497649i | −0.316844 | − | 0.351891i | 0.563594 | − | 0.826052i | ||
−0.880438 | + | 0.474161i | ||||||||
0 | 0 | |||||||||
0.162183 | − | 1.54307i | 0.0810914 | − | 0.771533i | |||||
1.84993 | − | 2.05455i | 0.827313 | − | 0.918824i | −0.170471 | − | 0.985363i | ||
0.997784 | + | 0.0665386i | ||||||||
0 | 0 | |||||||||
1.37990 | − | 0.614370i | 0.521552 | − | 0.232210i | −0.129037 | − | 0.991640i | ||
0.650589 | + | 0.759430i | ||||||||
−1.92410 | + | 1.39794i | −0.680271 | + | 0.494246i | |||||
0 | 0 | |||||||||
−1.85137 | −0.585455 | |||||||||
−2.65125 | − | 1.99271i | −0.799381 | − | 0.600824i | |||||
0 | 0 | |||||||||
−1.45264 | + | 0.308769i | −0.402891 | + | 0.0856371i | −0.404900 | − | 0.914361i | ||
0.00200934 | + | 0.999998i | ||||||||
−0.924052 | − | 0.411414i | −0.246963 | − | 0.109955i | |||||
0 | 0 | |||||||||
−1.47748 | − | 0.314048i | −0.369369 | − | 0.0785119i | |||||
−1.46138 | − | 4.49766i | −0.354436 | − | 1.09084i | −0.956336 | − | 0.292271i | ||
0.601899 | − | 0.798572i | ||||||||
0 | 0 | |||||||||
2.87328 | − | 2.08756i | 0.659175 | − | 0.478919i | −0.207209 | − | 0.978297i | ||
0.866384 | + | 0.499378i | ||||||||
−2.87028 | − | 3.18777i | −0.641815 | − | 0.712808i | |||||
0 | 0 | |||||||||
0.196315 | + | 2.21229i | 0.0418544 | + | 0.471663i | |||||
1.04751 | + | 1.81434i | 0.218421 | + | 0.378316i | 0.954325 | − | 0.298769i | ||
−0.735904 | + | 0.677086i | ||||||||
0 | 0 | |||||||||
−0.276313 | − | 2.62894i | −0.0552626 | − | 0.525788i | |||||
0.804567 | + | 0.584552i | 0.157788 | + | 0.114640i | |||||
0 | 0 | |||||||||
−0.724217 | − | 2.22891i | −0.136864 | − | 0.421225i | |||||
−7.17542 | + | 3.19470i | −1.33244 | + | 0.593241i | −0.944521 | − | 0.328451i | ||
−0.387921 | + | 0.921693i | ||||||||
0 | 0 | |||||||||
8.57593 | − | 1.82287i | 1.54028 | − | 0.327397i | 0.641962 | − | 0.766737i | ||
0.898321 | + | 0.439339i | ||||||||
2.88407 | + | 4.99535i | 0.509836 | + | 0.883061i | |||||
0 | 0 | |||||||||
−1.58343 | + | 2.74259i | −0.271557 | + | 0.470350i | |||||
1.29045 | − | 3.97161i | 0.218127 | − | 0.671325i | |||||
0 | 0 | |||||||||
4.16960 | + | 3.02939i | 0.685478 | + | 0.498029i | 0.875170 | − | 0.483815i | ||
−0.189693 | + | 0.981844i | ||||||||
−2.32634 | − | 0.494480i | −0.377383 | − | 0.0802152i | |||||
0 | 0 | |||||||||
−0.687303 | + | 6.53925i | −0.108672 | + | 1.03395i | |||||
−6.41924 | − | 2.85803i | −1.00252 | − | 0.446350i | −0.161218 | − | 0.986919i | ||
−0.841299 | + | 0.540569i | ||||||||
0 | 0 | |||||||||
−1.45808 | + | 2.52546i | −0.222355 | + | 0.385129i | −0.955522 | − | 0.294918i | ||
0.733168 | + | 0.680048i | ||||||||
−3.50487 | + | 3.76786i | −0.528379 | + | 0.568027i | |||||
0 | 0 | |||||||||
0.433531 | − | 1.33427i | 0.0639207 | − | 0.196728i | |||||
0.227425 | + | 2.16380i | 0.0331733 | + | 0.315623i | 0.998508 | + | 0.0546074i | ||
−0.965335 | + | 0.261016i | ||||||||
0 | 0 | |||||||||
−3.15725 | + | 3.50648i | −0.451036 | + | 0.500926i | |||||
−1.18448 | + | 1.31550i | −0.167511 | + | 0.186039i | |||||
0 | 0 | |||||||||
0.240857 | + | 2.29160i | 0.0334009 | + | 0.317788i | |||||
4.13417 | − | 12.7237i | 0.567872 | − | 1.74773i | −0.0913880 | − | 0.995815i | ||
0.659260 | − | 0.751915i | ||||||||
0 | 0 | |||||||||
−8.99874 | + | 1.76076i | −1.21339 | + | 0.237421i | |||||
−1.79621 | + | 3.11112i | −0.240028 | + | 0.415741i | |||||
0 | 0 | |||||||||
4.80504 | + | 2.13934i | 0.630932 | + | 0.280909i | |||||
−0.702544 | + | 6.68426i | −0.0914634 | + | 0.870216i | 0.848558 | + | 0.529102i | ||
−0.940022 | + | 0.341115i | ||||||||
0 | 0 | |||||||||
10.1381 | + | 2.15492i | 1.29805 | + | 0.275909i | 0.804575 | − | 0.593851i | ||
0.493475 | + | 0.869760i | ||||||||
−4.74990 | − | 3.45100i | −0.603238 | − | 0.438278i | |||||
0 | 0 | |||||||||
0.260092 | − | 0.800479i | 0.0325114 | − | 0.100060i | |||||
−2.05290 | + | 3.55573i | −0.254631 | + | 0.441035i | |||||
0 | 0 | |||||||||
−6.01970 | − | 10.4264i | −0.735423 | − | 1.27379i | −0.954538 | − | 0.298091i | ||
0.219115 | − | 0.975699i | ||||||||
−7.17720 | + | 1.52556i | −0.870363 | + | 0.185001i | |||||
0 | 0 | |||||||||
−2.55470 | + | 1.13743i | −0.305345 | + | 0.135948i | |||||
−3.34410 | − | 10.2921i | −0.396872 | − | 1.22145i | −0.927494 | − | 0.373838i | ||
0.530622 | − | 0.847608i | ||||||||
0 | 0 | |||||||||
3.63900 | + | 2.64389i | 0.425913 | + | 0.309444i | 0.780013 | − | 0.625764i | ||
−0.354099 | + | 0.935208i | ||||||||
−0.360762 | − | 3.43242i | −0.0419377 | − | 0.399011i | |||||
0 | 0 | |||||||||
−2.75524 | − | 4.77222i | −0.316048 | − | 0.547411i | |||||
−4.88271 | − | 1.12089i | −0.556436 | − | 0.127737i | |||||
0 | 0 | |||||||||
−10.3224 | − | 11.4642i | −1.16136 | − | 1.28983i | −0.949940 | − | 0.312432i | ||
−0.211425 | − | 0.977394i | ||||||||
−3.37845 | + | 2.45459i | −0.377723 | + | 0.274432i | |||||
0 | 0 | |||||||||
1.45407 | + | 4.47517i | 0.160575 | + | 0.494200i | |||||
3.27510 | + | 0.696143i | 0.359488 | + | 0.0764116i | 0.384115 | − | 0.923285i | ||
−0.0246270 | + | 0.999697i | ||||||||
0 | 0 | |||||||||
−11.9441 | − | 5.31787i | −1.29552 | − | 0.576804i | |||||
1.91014 | − | 0.406012i | 0.205975 | − | 0.0437814i | |||||
0 | 0 | |||||||||
7.88694 | + | 0.127887i | 0.840751 | + | 0.0136328i | |||||
10.6583 | 1.12978 | 0.564888 | − | 0.825167i | ||||||
0.564888 | + | 0.825167i | ||||||||
0 | 0 | |||||||||
−1.81480 | + | 1.31853i | −0.190243 | + | 0.138219i | |||||
2.96954 | − | 1.32212i | 0.309596 | − | 0.137841i | |||||
0 | 0 | |||||||||
0.974908 | − | 1.08275i | 0.100554 | − | 0.111677i | |||||
1.02636 | − | 9.76513i | 0.105302 | − | 1.00188i | |||||
0 | 0 | |||||||||
1.48572 | + | 1.65006i | 0.150852 | + | 0.167538i | 0.813835 | − | 0.581097i | ||
−0.662982 | + | 0.748635i | ||||||||
3.15971 | 0.319179 | |||||||||
0 | 0 | |||||||||
−4.10144 | −0.410144 | |||||||||
0.325123 | + | 0.361085i | 0.0323509 | + | 0.0359293i | 0.759103 | − | 0.650970i | ||
−0.726752 | + | 0.686900i | ||||||||
0 | 0 | |||||||||
0.668220 | − | 6.35769i | 0.0658417 | − | 0.626441i | −0.910989 | − | 0.412430i | ||
0.976831 | − | 0.214012i | ||||||||
2.36339 | − | 2.62481i | 0.231749 | − | 0.257384i | |||||
0 | 0 | |||||||||
−8.18438 | + | 3.64392i | −0.794937 | + | 0.353929i | |||||
−9.78725 | + | 7.11085i | −0.946169 | + | 0.687432i | −0.949898 | − | 0.312561i | ||
0.00372856 | + | 0.999993i | ||||||||
0 | 0 | |||||||||
−4.73854 | −0.453870 | −0.226935 | − | 0.973910i | ||||||
−0.226935 | + | 0.973910i | ||||||||
4.90844 | + | 3.68925i | 0.468002 | + | 0.351756i | |||||
0 | 0 | |||||||||
−2.23171 | + | 0.474364i | −0.210877 | + | 0.0448232i | |||||
16.7903 | + | 7.47551i | 1.57950 | + | 0.703237i | 0.994196 | − | 0.107581i | ||
0.585299 | + | 0.810817i | ||||||||
0 | 0 | |||||||||
5.66548 | + | 1.20424i | 0.528309 | + | 0.112296i | |||||
3.76591 | + | 11.5903i | 0.349656 | + | 1.07613i | |||||
0 | 0 | |||||||||
3.64121 | − | 2.64550i | 0.335201 | − | 0.243538i | |||||
−4.77978 | − | 5.30848i | −0.438162 | − | 0.486628i | |||||
0 | 0 | |||||||||
3.05822 | + | 10.5663i | 0.278020 | + | 0.960575i | |||||
−3.47034 | − | 6.01080i | −0.314190 | − | 0.544192i | |||||
0 | 0 | |||||||||
−1.42194 | − | 13.5289i | −0.127694 | − | 1.21493i | |||||
5.27088 | + | 3.82952i | 0.471442 | + | 0.342523i | |||||
0 | 0 | |||||||||
−6.90430 | − | 21.2493i | −0.612658 | − | 1.88557i | −0.431501 | − | 0.902112i | ||
−0.181156 | − | 0.983454i | ||||||||
10.0240 | − | 4.46297i | 0.886005 | − | 0.394475i | |||||
0 | 0 | |||||||||
2.68938 | − | 0.571646i | 0.235874 | − | 0.0501367i | |||||
−1.98522 | − | 3.43851i | −0.173450 | − | 0.300424i | 0.766174 | − | 0.642633i | ||
−0.939624 | + | 0.342209i | ||||||||
0 | 0 | |||||||||
2.68229 | − | 4.64587i | 0.232584 | − | 0.402848i | |||||
−2.49136 | + | 7.66762i | −0.215221 | + | 0.662381i | |||||
0 | 0 | |||||||||
9.09929 | + | 6.61102i | 0.780258 | + | 0.566890i | |||||
5.86012 | + | 1.24561i | 0.500664 | + | 0.106419i | 0.451320 | − | 0.892362i | ||
0.0493445 | + | 0.998782i | ||||||||
0 | 0 | |||||||||
−1.79667 | + | 17.0942i | −0.152392 | + | 1.44991i | 0.604623 | + | 0.796512i | ||
−0.757014 | + | 0.653398i | ||||||||
−5.91917 | − | 2.63538i | −0.500261 | − | 0.222731i | |||||
0 | 0 | |||||||||
−3.62340 | + | 6.27592i | −0.304069 | + | 0.526664i | |||||
4.46660 | + | 2.07607i | 0.373516 | + | 0.173610i | |||||
0 | 0 | |||||||||
−6.71032 | + | 20.6522i | −0.557262 | + | 1.71508i | |||||
−0.314854 | − | 2.99564i | −0.0260575 | − | 0.247921i | |||||
0 | 0 | |||||||||
5.35079 | − | 5.94265i | 0.439832 | − | 0.488483i | |||||
8.61520 | − | 9.56815i | 0.705784 | − | 0.783853i | −0.278501 | − | 0.960436i | ||
0.984286 | + | 0.176583i | ||||||||
0 | 0 | |||||||||
0.878973 | + | 8.36287i | 0.0715298 | + | 0.680560i | 0.970261 | + | 0.242061i | ||
−0.898731 | + | 0.438500i | ||||||||
−2.61019 | + | 8.03333i | −0.211714 | + | 0.651589i | |||||
0 | 0 | |||||||||
1.63006 | + | 2.93213i | 0.131354 | + | 0.236278i | |||||
12.1197 | − | 20.9919i | 0.973476 | − | 1.68611i | |||||
0 | 0 | |||||||||
10.7910 | + | 4.80445i | 0.861214 | + | 0.383437i | 0.789325 | − | 0.613976i | ||
0.0718888 | + | 0.997413i | ||||||||
−1.07983 | + | 10.2739i | −0.0859067 | + | 0.817347i | |||||
0 | 0 | |||||||||
15.5985 | + | 3.31557i | 1.23317 | + | 0.262119i | |||||
2.56013 | + | 1.86005i | 0.201767 | + | 0.146592i | |||||
0 | 0 | |||||||||
1.42569 | − | 4.38781i | 0.111668 | − | 0.343680i | −0.879569 | − | 0.475771i | ||
0.991238 | + | 0.132091i | ||||||||
−5.45122 | + | 9.44179i | −0.425669 | + | 0.737280i | |||||
0 | 0 | |||||||||
−1.12109 | − | 1.94178i | −0.0870132 | − | 0.150711i | |||||
9.63126 | − | 2.04719i | 0.745289 | − | 0.158416i | 0.180412 | − | 0.983591i | ||
0.564877 | + | 0.825175i | ||||||||
0 | 0 | |||||||||
−9.86126 | + | 4.39051i | −0.758558 | + | 0.337732i | |||||
2.70556 | + | 8.32684i | 0.207507 | + | 0.638640i | |||||
0 | 0 | |||||||||
3.66048 | + | 2.65949i | 0.279109 | + | 0.202785i | |||||
1.53520 | + | 14.6065i | 0.116719 | + | 1.11051i | 0.883445 | + | 0.468535i | ||
−0.766726 | + | 0.641975i | ||||||||
0 | 0 | |||||||||
−1.99643 | − | 3.45791i | −0.150916 | − | 0.261393i | |||||
3.29135 | + | 3.77680i | 0.248095 | + | 0.284687i | |||||
0 | 0 | |||||||||
−4.77582 | − | 5.30409i | −0.357963 | − | 0.397558i | |||||
−9.16182 | + | 6.65645i | −0.684787 | + | 0.497527i | −0.874942 | − | 0.484227i | ||
0.190156 | + | 0.981754i | ||||||||
0 | 0 | |||||||||
−1.94459 | − | 5.98485i | −0.144541 | − | 0.444850i | 0.852411 | − | 0.522872i | ||
−0.996952 | + | 0.0780221i | ||||||||
1.46935 | + | 0.312320i | 0.108915 | + | 0.0231507i | |||||
0 | 0 | |||||||||
−4.55185 | − | 2.02661i | −0.335567 | − | 0.149404i | |||||
13.9375 | − | 2.96251i | 1.02471 | − | 0.217808i | |||||
0 | 0 | |||||||||
−5.08806 | + | 14.8365i | −0.372076 | + | 1.08495i | |||||
3.37577 | 0.246204 | |||||||||
0 | 0 | |||||||||
−5.31950 | + | 3.86484i | −0.385917 | + | 0.280385i | |||||
3.35252 | − | 1.49264i | 0.242580 | − | 0.108004i | −0.281846 | − | 0.959460i | ||
0.524426 | + | 0.851456i | ||||||||
0 | 0 | |||||||||
0.940575 | − | 1.04461i | 0.0677041 | − | 0.0751930i | −0.708341 | − | 0.705870i | ||
0.776045 | + | 0.630677i | ||||||||
0.155421 | − | 1.47874i | 0.0111586 | − | 0.106167i | |||||
0 | 0 | |||||||||
4.89868 | + | 5.44053i | 0.349906 | + | 0.388609i | |||||
3.38982 | 0.241514 | 0.120757 | − | 0.992682i | ||||||
0.120757 | + | 0.992682i | ||||||||
0 | 0 | |||||||||
7.38470 | 0.523487 | 0.261744 | − | 0.965137i | ||||||
0.261744 | + | 0.965137i | ||||||||
4.20675 | + | 4.67207i | 0.297462 | + | 0.330365i | |||||
0 | 0 | |||||||||
0.0340111 | − | 0.323594i | 0.00239301 | − | 0.0227680i | |||||
−7.93861 | + | 8.81672i | −0.557181 | + | 0.618812i | |||||
0 | 0 | |||||||||
−17.7471 | + | 7.90153i | −1.23951 | + | 0.551866i | |||||
−3.46332 | + | 2.51625i | −0.241301 | + | 0.175315i | |||||
0 | 0 | |||||||||
2.24322 | 0.155539 | |||||||||
−11.7777 | − | 0.190975i | −0.814678 | − | 0.0132100i | |||||
0 | 0 | |||||||||
1.90178 | − | 0.404237i | 0.130924 | − | 0.0278288i | −0.141983 | − | 0.989869i | ||
0.272908 | + | 0.962040i | ||||||||
−18.9630 | − | 8.44286i | −1.30238 | − | 0.579858i | |||||
0 | 0 | |||||||||
7.92423 | + | 1.68435i | 0.541689 | + | 0.115140i | |||||
2.49136 | + | 7.66762i | 0.169909 | + | 0.522927i | |||||
0 | 0 | |||||||||
10.7140 | − | 7.78417i | 0.727313 | − | 0.528424i | |||||
2.12327 | + | 2.35813i | 0.143806 | + | 0.159713i | |||||
0 | 0 | |||||||||
1.25753 | + | 14.1712i | 0.0847824 | + | 0.955423i | |||||
3.51160 | + | 6.08227i | 0.236216 | + | 0.409138i | |||||
0 | 0 | |||||||||
−1.77476 | − | 16.8857i | −0.118847 | − | 1.13075i | −0.877607 | − | 0.479381i | ||
0.758760 | − | 0.651370i | ||||||||
7.04870 | + | 5.12118i | 0.470961 | + | 0.342173i | |||||
0 | 0 | |||||||||
−3.80329 | − | 11.7053i | −0.252991 | − | 0.778626i | |||||
14.8946 | − | 6.63150i | 0.988590 | − | 0.440148i | 0.152239 | − | 0.988344i | ||
0.836350 | + | 0.548195i | ||||||||
0 | 0 | |||||||||
19.8772 | − | 4.22503i | 1.31352 | − | 0.279198i | 0.502686 | − | 0.864469i | ||
0.810838 | + | 0.585271i | ||||||||
−1.93933 | − | 3.35902i | −0.127876 | − | 0.221487i | |||||
0 | 0 | |||||||||
9.34021 | − | 16.1777i | 0.613215 | − | 1.06212i | |||||
0.139989 | − | 0.430843i | 0.00917101 | − | 0.0282255i | −0.946366 | − | 0.323096i | ||
0.955537 | + | 0.294870i | ||||||||
0 | 0 | |||||||||
4.86637 | + | 3.53562i | 0.317447 | + | 0.230639i | |||||
10.2003 | + | 2.16814i | 0.663984 | + | 0.141134i | |||||
0 | 0 | |||||||||
−0.500013 | + | 4.75730i | −0.0324110 | + | 0.308370i | |||||
17.3973 | + | 7.74579i | 1.12534 | + | 0.501033i | 0.883101 | − | 0.469183i | ||
0.242239 | + | 0.970217i | ||||||||
0 | 0 | |||||||||
8.93559 | − | 15.4769i | 0.575592 | − | 0.996955i | −0.420385 | − | 0.907346i | ||
0.995977 | − | 0.0896090i | ||||||||
3.88798 | − | 6.25653i | 0.249929 | − | 0.402185i | |||||
0 | 0 | |||||||||
4.96941 | − | 15.2943i | 0.318134 | − | 0.979114i | |||||
1.36357 | + | 12.9735i | 0.0871151 | + | 0.828845i | |||||
0 | 0 | |||||||||
−3.52927 | + | 3.91966i | −0.224562 | + | 0.249402i | |||||
−13.9527 | + | 15.4960i | −0.885995 | + | 0.983998i | |||||
0 | 0 | |||||||||
−0.456047 | − | 4.33900i | −0.0288430 | − | 0.274422i | |||||
3.85401 | − | 11.8614i | 0.243263 | − | 0.748687i | −0.752654 | − | 0.658416i | ||
0.995917 | − | 0.0902709i | ||||||||
0 | 0 | |||||||||
0.838246 | − | 6.89765i | 0.0527001 | − | 0.433652i | |||||
−7.48095 | + | 12.9574i | −0.469397 | + | 0.813019i | |||||
0 | 0 | |||||||||
−8.25041 | − | 3.67332i | −0.515651 | − | 0.229583i | |||||
2.51918 | − | 23.9684i | 0.157142 | − | 1.49511i | −0.577353 | − | 0.816495i | ||
0.734495 | − | 0.678614i | ||||||||
0 | 0 | |||||||||
7.61478 | + | 1.61857i | 0.473160 | + | 0.100573i | |||||
5.15379 | + | 3.74444i | 0.319624 | + | 0.232221i | |||||
0 | 0 | |||||||||
−0.821621 | + | 2.52869i | −0.0507599 | + | 0.156223i | |||||
9.07714 | − | 15.7221i | 0.559720 | − | 0.969464i | −0.437799 | − | 0.899073i | ||
0.997519 | − | 0.0703912i | ||||||||
0 | 0 | |||||||||
−18.4935 | − | 32.0317i | −1.13605 | − | 1.96769i | |||||
−3.51391 | + | 0.746904i | −0.215451 | + | 0.0457956i | |||||
0 | 0 | |||||||||
−17.0649 | + | 7.59780i | −1.04241 | + | 0.464110i | |||||
4.12310 | + | 12.6896i | 0.251390 | + | 0.773698i | 0.994520 | + | 0.104551i | ||
−0.743130 | + | 0.669147i | ||||||||
0 | 0 | |||||||||
5.26488 | + | 3.82516i | 0.319819 | + | 0.232362i | 0.736098 | − | 0.676875i | ||
−0.416279 | + | 0.909237i | ||||||||
0.746675 | + | 7.10414i | 0.0452738 | + | 0.430752i | |||||
0 | 0 | |||||||||
−2.00596 | − | 3.47442i | −0.121184 | − | 0.209898i | |||||
−4.50614 | + | 7.52058i | −0.271731 | + | 0.453508i | |||||
0 | 0 | |||||||||
−9.07255 | − | 10.0761i | −0.545117 | − | 0.605413i | 0.406141 | − | 0.913810i | ||
−0.951258 | + | 0.308397i | ||||||||
9.31197 | − | 6.76554i | 0.558495 | − | 0.405770i | |||||
0 | 0 | |||||||||
3.06911 | + | 9.44574i | 0.183414 | + | 0.564491i | |||||
29.9118 | + | 6.35794i | 1.78439 | + | 0.379283i | 0.977418 | − | 0.211313i | ||
0.806968 | + | 0.590596i | ||||||||
0 | 0 | |||||||||
−0.686047 | − | 0.305448i | −0.0407812 | − | 0.0181570i | 0.386245 | − | 0.922396i | ||
−0.427026 | + | 0.904239i | ||||||||
−16.4237 | + | 3.49097i | −0.974569 | + | 0.207151i | |||||
0 | 0 | |||||||||
−0.968263 | − | 3.15306i | −0.0572546 | − | 0.186444i | |||||
−10.6138 | −0.626512 | |||||||||
0 | 0 | |||||||||
−4.34004 | + | 3.15323i | −0.255297 | + | 0.185484i | |||||
13.2844 | − | 5.91458i | 0.780085 | − | 0.347316i | |||||
0 | 0 | |||||||||
4.66988 | − | 5.18643i | 0.273284 | − | 0.303513i | |||||
−1.59034 | + | 15.1310i | −0.0929084 | + | 0.883964i | 0.844459 | + | 0.535621i | ||
−0.937367 | + | 0.348343i | ||||||||
0 | 0 | |||||||||
12.4335 | + | 13.8088i | 0.723907 | + | 0.803980i | |||||
−12.2576 | −0.712460 | |||||||||
0 | 0 | |||||||||
−8.62192 | −0.499454 | |||||||||
−2.08187 | − | 2.31215i | −0.120398 | − | 0.133715i | |||||
0 | 0 | |||||||||
−0.460428 | + | 4.38068i | −0.0265386 | + | 0.252498i | |||||
3.76792 | − | 4.18470i | 0.216819 | − | 0.240802i | |||||
0 | 0 | |||||||||
−4.90079 | + | 2.18197i | −0.281080 | + | 0.125145i | |||||
23.1821 | − | 16.8428i | 1.32741 | − | 0.964417i | |||||
0 | 0 | |||||||||
2.79291 | 0.159400 | 0.0797000 | − | 0.996819i | ||||||
0.0797000 | + | 0.996819i | ||||||||
−2.52149 | + | 7.35255i | −0.143675 | + | 0.418950i | |||||
0 | 0 | |||||||||
−15.8772 | + | 3.37481i | −0.901766 | + | 0.191676i | |||||
−21.2421 | − | 9.45760i | −1.20453 | − | 0.536291i | −0.296434 | − | 0.955053i | ||
−0.908096 | + | 0.418762i | ||||||||
0 | 0 | |||||||||
13.6182 | + | 2.89465i | 0.769748 | + | 0.163615i | 0.576015 | − | 0.817439i | ||
0.193733 | + | 0.981054i | ||||||||
−2.44435 | − | 7.52292i | −0.137942 | − | 0.424543i | |||||
0 | 0 | |||||||||
−19.3642 | + | 14.0689i | −1.08932 | + | 0.791437i | |||||
4.35049 | + | 4.83171i | 0.244348 | + | 0.271376i | 0.852826 | − | 0.522195i | ||
−0.608479 | + | 0.793570i | ||||||||
0 | 0 | |||||||||
25.3899 | + | 5.82858i | 1.42156 | + | 0.326338i | |||||
−1.16348 | − | 2.01520i | −0.0650403 | − | 0.112653i | |||||
0 | 0 | |||||||||
−0.221508 | − | 2.10751i | −0.0123442 | − | 0.117447i | |||||
−13.5881 | − | 9.87231i | −0.756061 | − | 0.549310i | |||||
0 | 0 | |||||||||
1.21312 | + | 3.73360i | 0.0672918 | + | 0.207103i | |||||
−2.82242 | + | 1.25662i | −0.156319 | + | 0.0695978i | |||||
0 | 0 | |||||||||
16.3466 | − | 3.47458i | 0.902590 | − | 0.191851i | |||||
1.64320 | + | 2.84610i | 0.0905924 | + | 0.156911i | |||||
0 | 0 | |||||||||
6.50427 | − | 11.2657i | 0.357507 | − | 0.619220i | −0.630037 | − | 0.776565i | ||
0.987544 | + | 0.157345i | ||||||||
1.60536 | − | 4.94079i | 0.0881055 | − | 0.271161i | |||||
0 | 0 | |||||||||
−5.33441 | − | 3.87567i | −0.291886 | − | 0.212067i | |||||
−32.5576 | − | 6.92034i | −1.77881 | − | 0.378099i | |||||
0 | 0 | |||||||||
−3.04908 | + | 29.0100i | −0.166094 | + | 1.58028i | 0.520903 | + | 0.853616i | ||
−0.686997 | + | 0.726661i | ||||||||
6.60362 | + | 2.94012i | 0.359189 | + | 0.159921i | |||||
0 | 0 | |||||||||
−10.1430 | + | 17.5681i | −0.550079 | + | 0.952765i | |||||
−26.3694 | − | 12.2565i | −1.42798 | − | 0.663725i | |||||
0 | 0 | |||||||||
−5.46976 | + | 16.8342i | −0.295339 | + | 0.908961i | |||||
−0.724960 | − | 6.89754i | −0.0390872 | − | 0.371890i | |||||
0 | 0 | |||||||||
6.58100 | − | 7.30894i | 0.353797 | − | 0.392931i | |||||
15.4911 | − | 17.2046i | 0.831604 | − | 0.923590i | −0.166443 | − | 0.986051i | ||
0.998047 | + | 0.0624611i | ||||||||
0 | 0 | |||||||||
0.887486 | + | 8.44386i | 0.0475060 | + | 0.451990i | 0.992257 | + | 0.124201i | ||
−0.944751 | + | 0.327789i | ||||||||
−0.826257 | + | 2.54296i | −0.0441653 | + | 0.135927i | |||||
0 | 0 | |||||||||
2.30791 | − | 18.9910i | 0.123012 | − | 1.01222i | |||||
0.687569 | − | 1.19090i | 0.0365956 | − | 0.0633854i | −0.847148 | − | 0.531358i | ||
0.883743 | + | 0.467972i | ||||||||
0 | 0 | |||||||||
−27.3320 | − | 12.1690i | −1.45063 | − | 0.645863i | |||||
1.72859 | − | 16.4464i | 0.0916152 | − | 0.871660i | |||||
0 | 0 | |||||||||
7.41785 | + | 1.57671i | 0.392046 | + | 0.0833319i | |||||
16.8945 | + | 12.2746i | 0.891658 | + | 0.647827i | 0.936310 | − | 0.351175i | ||
−0.0446518 | + | 0.999003i | ||||||||
0 | 0 | |||||||||
−1.97350 | + | 6.07381i | −0.103868 | + | 0.319674i | |||||
−2.10701 | + | 3.64945i | −0.110742 | + | 0.191811i | |||||
0 | 0 | |||||||||
1.74025 | + | 3.01420i | 0.0912138 | + | 0.157987i | |||||
12.1639 | − | 2.58552i | 0.636688 | − | 0.135332i | |||||
0 | 0 | |||||||||
11.3730 | − | 5.06358i | 0.593666 | − | 0.264317i | −0.0878343 | − | 0.996135i | ||
0.681500 | + | 0.731818i | ||||||||
−0.977884 | − | 3.00962i | −0.0509757 | − | 0.156887i | |||||
0 | 0 | |||||||||
−7.71948 | − | 5.60853i | −0.401316 | − | 0.291574i | |||||
−2.11231 | − | 20.0973i | −0.109666 | − | 1.04340i | |||||
0 | 0 | |||||||||
14.2488 | + | 24.6796i | 0.737774 | + | 1.27786i | 0.953496 | + | 0.301407i | ||
−0.215722 | + | 0.976455i | ||||||||
9.66326 | − | 4.11596i | 0.499675 | − | 0.212831i | |||||
0 | 0 | |||||||||
−3.46245 | − | 3.84544i | −0.178562 | − | 0.198313i | |||||
9.43690 | − | 6.85631i | 0.486025 | − | 0.353118i | |||||
0 | 0 | |||||||||
−1.33092 | − | 4.09616i | −0.0683649 | − | 0.210405i | 0.911038 | − | 0.412323i | ||
−0.979402 | + | 0.201918i | ||||||||
−14.9018 | − | 3.16747i | −0.764445 | − | 0.162488i | |||||
0 | 0 | |||||||||
−2.24503 | − | 0.999550i | −0.114866 | − | 0.0511414i | |||||
−17.5964 | + | 3.74024i | −0.899136 | + | 0.191117i | −0.634219 | − | 0.773154i | ||
−0.264918 | + | 0.964271i | ||||||||
0 | 0 | |||||||||
−11.3356 | + | 7.95822i | −0.577715 | + | 0.405589i | |||||
−0.941309 | −0.0479114 | |||||||||
0 | 0 | |||||||||
2.78711 | − | 2.02496i | 0.141494 | − | 0.102802i | |||||
−32.7940 | + | 14.6008i | −1.66272 | + | 0.740291i | −0.999964 | − | 0.00854185i | ||
−0.662758 | + | 0.748833i | ||||||||
0 | 0 | |||||||||
6.62949 | − | 7.36279i | 0.335267 | − | 0.372352i | |||||
1.17301 | − | 11.1604i | 0.0592460 | − | 0.563688i | |||||
0 | 0 | |||||||||
−1.51893 | − | 1.68694i | −0.0765224 | − | 0.0849867i | |||||
−42.6496 | −2.14594 | |||||||||
0 | 0 | |||||||||
19.8332 | 0.995398 | 0.497699 | − | 0.867350i | ||||||
0.497699 | + | 0.867350i | ||||||||
−3.30897 | − | 3.67499i | −0.165864 | − | 0.184210i | |||||
0 | 0 | |||||||||
−0.417367 | + | 3.97098i | −0.0208683 | + | 0.198549i | |||||
−9.22764 | + | 10.2483i | −0.460807 | + | 0.511778i | −0.928103 | − | 0.372323i | ||
0.467297 | + | 0.884101i | ||||||||
0 | 0 | |||||||||
−11.8949 | + | 5.29596i | −0.592529 | + | 0.263811i | |||||
0.609908 | − | 0.443124i | 0.0303440 | − | 0.0220462i | |||||
0 | 0 | |||||||||
7.94480 | 0.394294 | |||||||||
−5.01794 | − | 16.3405i | −0.248730 | − | 0.809967i | |||||
0 | 0 | |||||||||
−36.1043 | + | 7.67421i | −1.78524 | + | 0.379465i | −0.977644 | − | 0.210266i | ||
−0.807599 | + | 0.589731i | ||||||||
11.8844 | + | 5.29128i | 0.586929 | + | 0.261318i | |||||
0 | 0 | |||||||||
−9.70195 | − | 2.06221i | −0.477981 | − | 0.101598i | |||||
3.13717 | + | 9.65521i | 0.154370 | + | 0.475102i | |||||
0 | 0 | |||||||||
7.48895 | − | 5.44104i | 0.367618 | − | 0.267090i | |||||
−5.73193 | − | 6.36595i | −0.281031 | − | 0.312116i | |||||
0 | 0 | |||||||||
5.18236 | + | 5.94671i | 0.253477 | + | 0.290863i | |||||
−1.16856 | − | 2.02400i | −0.0570879 | − | 0.0988791i | 0.836069 | − | 0.548624i | ||
−0.893157 | + | 0.449745i | ||||||||
0 | 0 | |||||||||
1.60297 | + | 15.2513i | 0.0781242 | + | 0.743302i | 0.961531 | + | 0.274696i | ||
−0.883407 | + | 0.468606i | ||||||||
−1.05333 | − | 0.765289i | −0.0512753 | − | 0.0372537i | |||||
0 | 0 | |||||||||
9.83236 | + | 30.2609i | 0.477502 | + | 1.46960i | |||||
−11.4203 | + | 5.08464i | −0.553966 | + | 0.246641i | |||||
0 | 0 | |||||||||
15.3134 | − | 3.25497i | 0.741070 | − | 0.157519i | |||||
9.38519 | + | 16.2556i | 0.453650 | + | 0.785745i | |||||
0 | 0 | |||||||||
2.69944 | − | 4.67557i | 0.130179 | − | 0.225476i | |||||
2.41444 | − | 7.43087i | 0.116299 | − | 0.357932i | −0.875917 | − | 0.482463i | ||
0.992216 | + | 0.124530i | ||||||||
0 | 0 | |||||||||
−20.3571 | − | 14.7903i | −0.978301 | − | 0.710777i | −0.0209724 | − | 0.999780i | ||
−0.957328 | + | 0.289003i | ||||||||
−8.67456 | − | 1.84383i | −0.416392 | − | 0.0885069i | |||||
0 | 0 | |||||||||
−0.768510 | + | 7.31188i | −0.0368049 | + | 0.350176i | |||||
6.79733 | + | 3.02637i | 0.325160 | + | 0.144771i | |||||
0 | 0 | |||||||||
−0.492942 | + | 0.853801i | −0.0235268 | + | 0.0407497i | −0.877549 | − | 0.479487i | ||
0.854022 | + | 0.520236i | ||||||||
14.8530 | − | 15.9676i | 0.708090 | − | 0.761224i | |||||
0 | 0 | |||||||||
1.45334 | − | 4.47292i | 0.0691283 | − | 0.212755i | |||||
1.12634 | + | 10.7164i | 0.0535139 | + | 0.509150i | 0.988144 | + | 0.153529i | ||
−0.934630 | + | 0.355621i | ||||||||
0 | 0 | |||||||||
19.7171 | − | 21.8980i | 0.934679 | − | 1.03807i | |||||
−7.60792 | + | 8.44945i | −0.360245 | + | 0.400093i | |||||
0 | 0 | |||||||||
−0.132891 | − | 1.26437i | −0.00627850 | − | 0.0597359i | |||||
−7.13830 | + | 21.9694i | −0.336877 | + | 1.03680i | 0.628913 | + | 0.777476i | ||
−0.965790 | + | 0.259326i | ||||||||
0 | 0 | |||||||||
11.3238 | + | 20.3690i | 0.533216 | + | 0.959140i | |||||
14.2583 | − | 24.6961i | 0.670654 | − | 1.16161i | |||||
0 | 0 | |||||||||
−9.97421 | − | 4.44081i | −0.468113 | − | 0.208417i | |||||
−0.648261 | + | 6.16779i | −0.0303909 | + | 0.289150i | |||||
0 | 0 | |||||||||
−26.7704 | − | 5.69023i | −1.25227 | − | 0.266178i | −0.466401 | − | 0.884573i | ||
−0.785867 | + | 0.618395i | ||||||||
−11.0093 | − | 7.99870i | −0.514429 | − | 0.373755i | |||||
0 | 0 | |||||||||
2.77706 | − | 8.54690i | 0.129481 | − | 0.398501i | |||||
−9.76471 | + | 16.9130i | −0.454788 | + | 0.787715i | −0.998676 | − | 0.0514422i | ||
0.543888 | + | 0.839158i | ||||||||
0 | 0 | |||||||||
−7.29658 | − | 12.6380i | −0.339101 | − | 0.587340i | 0.645163 | − | 0.764045i | ||
−0.984264 | + | 0.176705i | ||||||||
11.6048 | − | 2.46668i | 0.538740 | − | 0.114513i | |||||
0 | 0 | |||||||||
−0.277136 | + | 0.123389i | −0.0128381 | + | 0.00571587i | |||||
−1.87684 | − | 5.77631i | −0.0868496 | − | 0.267296i | 0.898194 | − | 0.439598i | ||
−0.985044 | + | 0.172303i | ||||||||
0 | 0 | |||||||||
−14.7122 | − | 10.6891i | −0.679348 | − | 0.493575i | |||||
−0.421048 | − | 4.00600i | −0.0194215 | − | 0.184783i | |||||
0 | 0 | |||||||||
−7.99242 | − | 13.8433i | −0.367881 | − | 0.637189i | |||||
8.89823 | − | 3.79010i | 0.409141 | − | 0.174269i | |||||
0 | 0 | |||||||||
−6.28199 | − | 6.97686i | −0.288238 | − | 0.320120i | |||||
−8.96654 | + | 6.51457i | −0.410980 | + | 0.298595i | |||||
0 | 0 | |||||||||
−3.94080 | − | 12.1285i | −0.180248 | − | 0.554746i | |||||
−39.7307 | − | 8.44502i | −1.81534 | − | 0.385863i | −0.830181 | − | 0.557495i | ||
−0.985161 | + | 0.171632i | ||||||||
0 | 0 | |||||||||
−6.99232 | − | 3.11318i | −0.318823 | − | 0.141949i | |||||
−11.7060 | + | 2.48818i | −0.533192 | + | 0.113334i | |||||
0 | 0 | |||||||||
16.8005 | − | 3.00536i | 0.763660 | − | 0.136607i | |||||
6.13862 | 0.278740 | |||||||||
0 | 0 | |||||||||
−11.9767 | + | 8.70158i | −0.542716 | + | 0.394306i | −0.825093 | − | 0.564998i | ||
0.282377 | + | 0.959304i | ||||||||
−22.5191 | + | 10.0262i | −1.01939 | + | 0.453863i | |||||
0 | 0 | |||||||||
5.84524 | − | 6.49180i | 0.264061 | − | 0.293269i | |||||
−4.12695 | + | 39.2653i | −0.186247 | + | 1.77202i | 0.358608 | + | 0.933488i | ||
−0.544855 | + | 0.838530i | ||||||||
0 | 0 | |||||||||
24.8547 | + | 27.6039i | 1.11940 | + | 1.24322i | |||||
3.53203 | 0.158913 | |||||||||
0 | 0 | |||||||||
−13.2432 | −0.594638 | |||||||||
−10.9377 | − | 12.1475i | −0.490621 | − | 0.544890i | |||||
0 | 0 | |||||||||
0.332064 | − | 3.15938i | 0.0148652 | − | 0.141433i | −0.984572 | − | 0.174981i | ||
0.999437 | + | 0.0335472i | ||||||||
6.76405 | − | 7.51223i | 0.302497 | − | 0.335957i | |||||
0 | 0 | |||||||||
−7.62976 | + | 3.39699i | −0.340533 | + | 0.151615i | |||||
14.8735 | − | 10.8062i | 0.663174 | − | 0.481824i | −0.204559 | − | 0.978854i | ||
0.867733 | + | 0.497030i | ||||||||
0 | 0 | |||||||||
1.34332 | 0.0597771 | |||||||||
−3.80821 | + | 2.67358i | −0.169296 | + | 0.118855i | |||||
0 | 0 | |||||||||
−33.9088 | + | 7.20753i | −1.50446 | + | 0.319782i | |||||
14.3026 | + | 6.36791i | 0.633950 | + | 0.282253i | 0.698443 | − | 0.715665i | ||
−0.0644931 | + | 0.997918i | ||||||||
0 | 0 | |||||||||
6.64578 | + | 1.41260i | 0.293992 | + | 0.0624899i | |||||
−4.91260 | − | 15.1194i | −0.217108 | − | 0.668190i | |||||
0 | 0 | |||||||||
−13.0567 | + | 9.48623i | −0.575905 | + | 0.418419i | |||||
−11.8260 | − | 13.1342i | −0.521118 | − | 0.578760i | |||||
0 | 0 | |||||||||
3.70887 | − | 6.18996i | 0.163116 | − | 0.272234i | |||||
−2.60659 | − | 4.51475i | −0.114527 | − | 0.198367i | |||||
0 | 0 | |||||||||
−1.02071 | − | 9.71141i | −0.0447611 | − | 0.425874i | |||||
−14.6674 | − | 10.6565i | −0.642592 | − | 0.466870i | 0.218148 | − | 0.975916i | ||
−0.860740 | + | 0.509045i | ||||||||
0 | 0 | |||||||||
5.24113 | + | 16.1305i | 0.229178 | + | 0.705339i | 0.997840 | + | 0.0656837i | ||
−0.768662 | + | 0.639655i | ||||||||
−5.62781 | + | 2.50566i | −0.245852 | + | 0.109460i | |||||
0 | 0 | |||||||||
−11.8914 | + | 2.52759i | −0.518490 | + | 0.110208i | |||||
−20.7313 | − | 35.9077i | −0.903071 | − | 1.56417i | |||||
0 | 0 | |||||||||
9.30544 | − | 16.1175i | 0.404584 | − | 0.700761i | |||||
−7.65389 | + | 23.5562i | −0.332464 | + | 1.02322i | |||||
0 | 0 | |||||||||
−6.73386 | − | 4.89243i | −0.291950 | − | 0.212114i | |||||
10.2073 | + | 2.16964i | 0.442129 | + | 0.0939775i | |||||
0 | 0 | |||||||||
−3.49608 | + | 33.2630i | −0.151149 | + | 1.43808i | |||||
26.1580 | + | 11.6463i | 1.12985 | + | 0.503043i | |||||
0 | 0 | |||||||||
4.46746 | − | 7.73787i | 0.192606 | − | 0.333603i | |||||
15.3580 | − | 3.00506i | 0.661518 | − | 0.129437i | |||||
0 | 0 | |||||||||
−2.07721 | + | 6.39299i | −0.0893062 | + | 0.274856i | −0.985728 | − | 0.168346i | ||
0.896422 | + | 0.443202i | ||||||||
−0.455528 | − | 4.33406i | −0.0195666 | − | 0.186164i | |||||
0 | 0 | |||||||||
18.2527 | − | 20.2716i | 0.782577 | − | 0.869140i | |||||
−8.76596 | + | 9.73559i | −0.375493 | + | 0.417027i | |||||
0 | 0 | |||||||||
−4.78907 | − | 45.5650i | −0.204766 | − | 1.94822i | −0.302846 | − | 0.953040i | ||
0.0980800 | − | 0.995179i | ||||||||
2.87247 | − | 8.84054i | 0.122706 | − | 0.377649i | |||||
0 | 0 | |||||||||
5.76175 | − | 1.12738i | 0.245682 | − | 0.0480719i | |||||
−13.9478 | + | 24.1584i | −0.594198 | + | 1.02918i | |||||
0 | 0 | |||||||||
−21.2872 | − | 9.47766i | −0.905223 | − | 0.403031i | |||||
−0.949080 | + | 9.02989i | −0.0403225 | + | 0.383643i | |||||
0 | 0 | |||||||||
26.0861 | + | 5.54477i | 1.10630 | + | 0.235150i | |||||
−9.67054 | − | 7.02606i | −0.409754 | − | 0.297704i | 0.363748 | − | 0.931497i | ||
−0.773502 | + | 0.633794i | ||||||||
0 | 0 | |||||||||
1.33828 | − | 4.11881i | 0.0566033 | − | 0.174207i | |||||
−3.15389 | + | 5.46270i | −0.133276 | + | 0.230841i | |||||
0 | 0 | |||||||||
−10.2390 | − | 17.7345i | −0.431906 | − | 0.748083i | |||||
−33.6515 | + | 7.15285i | −1.41824 | + | 0.301457i | −0.852328 | − | 0.523008i | ||
−0.565914 | + | 0.824464i | ||||||||
0 | 0 | |||||||||
46.4196 | − | 20.6673i | 1.95289 | − | 0.869482i | |||||
0.155402 | + | 0.478277i | 0.00653202 | + | 0.0201035i | |||||
0 | 0 | |||||||||
20.8221 | + | 15.1281i | 0.873675 | + | 0.634762i | |||||
1.20274 | + | 11.4433i | 0.0504215 | + | 0.479729i | 0.990373 | + | 0.138422i | ||
−0.939952 | + | 0.341307i | ||||||||
0 | 0 | |||||||||
18.2755 | + | 31.6542i | 0.764807 | + | 1.32469i | 0.940348 | + | 0.340213i | ||
−0.175541 | + | 0.984472i | ||||||||
3.92792 | − | 6.55556i | 0.164235 | − | 0.274102i | |||||
0 | 0 | |||||||||
4.75588 | + | 5.28194i | 0.198507 | + | 0.220464i | |||||
4.48036 | − | 3.25517i | 0.186844 | − | 0.135750i | |||||
0 | 0 | |||||||||
−6.88976 | − | 21.2045i | −0.286824 | − | 0.882754i | −0.985846 | − | 0.167654i | ||
0.699022 | − | 0.715101i | ||||||||
3.51391 | + | 0.746904i | 0.146159 | + | 0.0310671i | |||||
0 | 0 | |||||||||
30.7795 | + | 13.7039i | 1.27805 | + | 0.569024i | |||||
4.94698 | − | 1.05151i | 0.205235 | − | 0.0436242i | |||||
0 | 0 | |||||||||
−36.3153 | + | 25.4954i | −1.50403 | + | 1.05591i | |||||
−10.6978 | −0.442678 | |||||||||
0 | 0 | |||||||||
8.24255 | − | 5.98856i | 0.340497 | − | 0.247385i | |||||
21.4946 | − | 9.56999i | 0.887175 | − | 0.394996i | 0.0880187 | − | 0.996119i | ||
0.799157 | + | 0.601123i | ||||||||
0 | 0 | |||||||||
20.8357 | − | 23.1404i | 0.858519 | − | 0.953482i | |||||
1.30067 | − | 12.3750i | 0.0535477 | − | 0.509473i | |||||
0 | 0 | |||||||||
−5.20912 | − | 5.78531i | −0.214093 | − | 0.237775i | |||||
26.7811 | 1.09977 | 0.549884 | − | 0.835241i | ||||||
0.549884 | + | 0.835241i | ||||||||
0 | 0 | |||||||||
−19.7488 | −0.809622 | |||||||||
−13.3670 | − | 14.8456i | −0.547535 | − | 0.608100i | |||||
0 | 0 | |||||||||
−0.217785 | + | 2.07208i | −0.00890588 | + | 0.0847338i | |||||
−7.09422 | + | 7.87893i | −0.289862 | + | 0.321924i | −0.870435 | − | 0.492284i | ||
0.580573 | + | 0.814209i | ||||||||
0 | 0 | |||||||||
−35.7548 | + | 15.9190i | −1.45847 | + | 0.649352i | −0.974224 | − | 0.225582i | ||
−0.484243 | + | 0.874933i | ||||||||
2.38635 | − | 1.73378i | 0.0972603 | − | 0.0706638i | |||||
0 | 0 | |||||||||
13.0470 | 0.530875 | |||||||||
27.3666 | + | 13.2637i | 1.11261 | + | 0.539245i | |||||
0 | 0 | |||||||||
−8.40273 | + | 1.78605i | −0.341056 | + | 0.0724937i | −0.375256 | − | 0.926921i | ||
0.0341997 | + | 0.999415i | ||||||||
18.7148 | + | 8.33236i | 0.758985 | + | 0.337922i | |||||
0 | 0 | |||||||||
−18.7694 | − | 3.98956i | −0.759950 | − | 0.161532i | |||||
−0.998482 | − | 3.07301i | −0.0403943 | − | 0.124321i | |||||
0 | 0 | |||||||||
8.05694 | − | 5.85371i | 0.325417 | − | 0.236429i | −0.413067 | − | 0.910701i | ||
0.738483 | + | 0.674272i | ||||||||
−1.25146 | − | 1.38989i | −0.0505049 | − | 0.0560914i | |||||
0 | 0 | |||||||||
10.9617 | − | 4.66903i | 0.441661 | − | 0.188121i | |||||
−3.64515 | − | 6.31358i | −0.146748 | − | 0.254175i | 0.783276 | − | 0.621674i | ||
−0.930024 | + | 0.367499i | ||||||||
0 | 0 | |||||||||
3.44301 | + | 32.7581i | 0.138386 | + | 1.31666i | 0.814631 | + | 0.579980i | ||
−0.676244 | + | 0.736677i | ||||||||
−30.4263 | − | 22.1060i | −1.22195 | − | 0.887797i | |||||
0 | 0 | |||||||||
4.81171 | + | 14.8089i | 0.192932 | + | 0.593784i | |||||
14.7073 | − | 6.54813i | 0.589237 | − | 0.262345i | |||||
0 | 0 | |||||||||
30.5470 | − | 6.49296i | 1.22188 | − | 0.259719i | |||||
−4.66161 | − | 8.07415i | −0.186315 | − | 0.322708i | |||||
0 | 0 | |||||||||
9.16370 | − | 15.8720i | 0.365671 | − | 0.633361i | |||||
7.53181 | − | 23.1805i | 0.300313 | − | 0.924268i | |||||
0 | 0 | |||||||||
6.31372 | + | 4.58719i | 0.251345 | + | 0.182613i | 0.706323 | − | 0.707890i | ||
−0.454978 | + | 0.890503i | ||||||||
35.8877 | + | 7.62816i | 1.42753 | + | 0.303432i | |||||
0 | 0 | |||||||||
0.455105 | − | 4.33003i | 0.0180745 | − | 0.171968i | |||||
−56.4302 | − | 25.1243i | −2.23936 | − | 0.997029i | |||||
0 | 0 | |||||||||
3.50367 | − | 6.06853i | 0.138820 | − | 0.240444i | |||||
−8.47626 | − | 15.2470i | −0.335578 | − | 0.603633i | |||||
0 | 0 | |||||||||
9.37426 | − | 28.8510i | 0.370550 | − | 1.14044i | |||||
1.25810 | + | 11.9700i | 0.0496920 | + | 0.472788i | 0.990864 | + | 0.134861i | ||
−0.941172 | + | 0.337927i | ||||||||
0 | 0 | |||||||||
−22.6305 | + | 25.1337i | −0.892459 | + | 0.991177i | −0.999995 | − | 0.00302455i | ||
0.107536 | + | 0.994201i | ||||||||
3.28538 | − | 3.64879i | 0.129462 | − | 0.143782i | |||||
0 | 0 | |||||||||
1.17567 | + | 11.1857i | 0.0462560 | + | 0.440097i | |||||
−5.98134 | + | 18.4087i | −0.235151 | + | 0.723719i | 0.761951 | + | 0.647635i | ||
−0.997101 | + | 0.0760844i | ||||||||
0 | 0 | |||||||||
15.1824 | − | 16.3217i | 0.595961 | − | 0.640681i | |||||
1.31444 | − | 2.27668i | 0.0515566 | − | 0.0892986i | |||||
0 | 0 | |||||||||
−6.53946 | − | 2.91155i | −0.256105 | − | 0.114025i | |||||
0.277176 | − | 2.63715i | 0.0108467 | − | 0.103200i | −0.987759 | − | 0.155988i | ||
0.998606 | + | 0.0527878i | ||||||||
0 | 0 | |||||||||
−10.7371 | − | 2.28224i | −0.419534 | − | 0.0891747i | |||||
8.58673 | + | 6.23863i | 0.335256 | + | 0.243577i | |||||
0 | 0 | |||||||||
0.680067 | − | 2.09303i | 0.0265118 | − | 0.0815948i | |||||
1.34963 | − | 2.33764i | 0.0525743 | − | 0.0910614i | −0.838541 | − | 0.544839i | ||
0.891115 | + | 0.453778i | ||||||||
0 | 0 | |||||||||
6.28133 | + | 10.8796i | 0.244315 | + | 0.423167i | 0.961939 | − | 0.273265i | ||
−0.717624 | + | 0.696431i | ||||||||
−8.52084 | + | 1.81116i | −0.331172 | + | 0.0703928i | |||||
0 | 0 | |||||||||
−7.27477 | + | 3.23894i | −0.282316 | + | 0.125695i | |||||
−4.58313 | − | 14.1054i | −0.177726 | − | 0.546985i | |||||
0 | 0 | |||||||||
−13.3126 | − | 9.67218i | −0.515466 | − | 0.374508i | |||||
−1.59692 | − | 15.1937i | −0.0617867 | − | 0.587861i | |||||
0 | 0 | |||||||||
11.1447 | + | 19.3032i | 0.430557 | + | 0.745747i | |||||
−22.5845 | − | 25.9155i | −0.871864 | − | 1.00046i | |||||
0 | 0 | |||||||||
−15.1664 | − | 16.8440i | −0.584621 | − | 0.649287i | 0.376174 | − | 0.926549i | ||
−0.960794 | + | 0.277262i | ||||||||
15.8031 | − | 11.4816i | 0.608711 | − | 0.442254i | |||||
0 | 0 | |||||||||
5.17553 | + | 15.9286i | 0.199059 | + | 0.612640i | |||||
28.8786 | + | 6.13834i | 1.10990 | + | 0.235915i | 0.726159 | − | 0.687527i | ||
0.383736 | + | 0.923443i | ||||||||
0 | 0 | |||||||||
3.06389 | + | 1.36413i | 0.117581 | + | 0.0523506i | |||||
30.4157 | − | 6.46506i | 1.16639 | − | 0.247924i | |||||
0 | 0 | |||||||||
5.71631 | + | 18.6146i | 0.218889 | + | 0.712791i | |||||
−16.5916 | −0.634859 | −0.317430 | − | 0.948282i | ||||||
−0.317430 | + | 0.948282i | ||||||||
0 | 0 | |||||||||
13.4000 | − | 9.73565i | 0.511987 | − | 0.371980i | |||||
10.8284 | − | 4.82113i | 0.413432 | − | 0.184072i | |||||
0 | 0 | |||||||||
2.94739 | − | 3.27341i | 0.112368 | − | 0.124798i | |||||
−2.07680 | + | 19.7595i | −0.0791199 | + | 0.752775i | |||||
0 | 0 | |||||||||
15.7421 | + | 17.4833i | 0.598857 | + | 0.665098i | 0.964015 | − | 0.265848i | ||
−0.365158 | + | 0.930945i | ||||||||
22.7877 | 0.866260 | |||||||||
0 | 0 | |||||||||
−15.5032 | −0.588492 | |||||||||
31.7972 | + | 35.3144i | 1.20614 | + | 1.33955i | |||||
0 | 0 | |||||||||
−3.47351 | + | 33.0483i | −0.131569 | + | 1.25179i | |||||
3.80441 | − | 4.22523i | 0.143999 | − | 0.159927i | |||||
0 | 0 | |||||||||
−5.65957 | + | 2.51980i | −0.213912 | + | 0.0952396i | |||||
−18.3698 | + | 13.3465i | −0.693819 | + | 0.504089i | −0.877913 | − | 0.478820i | ||
0.184095 | + | 0.982909i | ||||||||
0 | 0 | |||||||||
18.3044 | 0.690365 | |||||||||
−2.28469 | + | 1.60398i | −0.0861075 | + | 0.0604523i | |||||
0 | 0 | |||||||||
−0.900741 | + | 0.191458i | −0.0338998 | + | 0.00720563i | |||||
0.670476 | + | 0.298515i | 0.0252158 | + | 0.0112268i | |||||
0 | 0 | |||||||||
11.2512 | + | 2.39151i | 0.422546 | + | 0.0898149i | 0.414277 | − | 0.910151i | ||
0.00826904 | + | 0.999966i | ||||||||
6.19118 | + | 19.0545i | 0.232351 | + | 0.715102i | |||||
0 | 0 | |||||||||
−20.5076 | + | 14.8996i | −0.768555 | + | 0.558388i | |||||
12.2907 | + | 13.6502i | 0.460290 | + | 0.511204i | |||||
0 | 0 | |||||||||
12.5283 | − | 5.33629i | 0.468532 | − | 0.199566i | |||||
8.78545 | + | 15.2169i | 0.328328 | + | 0.568680i | |||||
0 | 0 | |||||||||
−1.46175 | − | 13.9076i | −0.0545519 | − | 0.519027i | |||||
37.1445 | + | 26.9870i | 1.38526 | + | 1.00645i | 0.996367 | + | 0.0851620i | ||
0.388888 | + | 0.921285i | ||||||||
0 | 0 | |||||||||
−2.98390 | − | 9.18349i | −0.111126 | − | 0.342011i | |||||
3.90692 | − | 1.73947i | 0.145401 | − | 0.0647365i | |||||
0 | 0 | |||||||||
−9.55039 | + | 2.03000i | −0.354937 | + | 0.0754443i | |||||
10.3813 | + | 17.9810i | 0.385554 | + | 0.667798i | |||||
0 | 0 | |||||||||
0.417822 | − | 0.723690i | 0.0154962 | − | 0.0268402i | −0.858173 | − | 0.513360i | ||
0.873670 | + | 0.486520i | ||||||||
1.64863 | − | 5.07396i | 0.0611023 | − | 0.188053i | |||||
0 | 0 | |||||||||
−6.73715 | − | 4.89483i | −0.249353 | − | 0.181166i | |||||
13.4895 | + | 2.86728i | 0.498926 | + | 0.106050i | |||||
0 | 0 | |||||||||
3.34101 | − | 31.7876i | 0.123403 | − | 1.17410i | −0.741072 | − | 0.671426i | ||
0.864475 | − | 0.502676i | ||||||||
−7.61596 | − | 3.39084i | −0.281110 | − | 0.125158i | |||||
0 | 0 | |||||||||
−6.04218 | + | 10.4654i | −0.222718 | + | 0.385758i | |||||
−4.81712 | + | 39.6385i | −0.177441 | + | 1.46010i | |||||
0 | 0 | |||||||||
2.00537 | − | 6.17190i | 0.0737687 | − | 0.227037i | −0.907373 | − | 0.420326i | ||
0.981142 | + | 0.193289i | ||||||||
−2.31092 | − | 21.9870i | −0.0849512 | − | 0.808256i | |||||
0 | 0 | |||||||||
−9.05489 | + | 10.0565i | −0.332415 | + | 0.369185i | |||||
7.45493 | − | 8.27954i | 0.273495 | − | 0.303747i | −0.590713 | − | 0.806882i | ||
0.864208 | + | 0.503135i | ||||||||
0 | 0 | |||||||||
−3.72077 | − | 35.4008i | −0.136318 | − | 1.29698i | |||||
5.89712 | − | 18.1495i | 0.215909 | − | 0.664499i | |||||
0 | 0 | |||||||||
22.0685 | + | 10.2574i | 0.806905 | + | 0.375049i | |||||
−9.13670 | + | 15.8252i | −0.333848 | + | 0.578242i | |||||
0 | 0 | |||||||||
−32.6141 | − | 14.5207i | −1.19010 | − | 0.529869i | −0.286435 | − | 0.958100i | ||
−0.903669 | + | 0.428231i | ||||||||
0.343522 | − | 3.26839i | 0.0125269 | − | 0.119186i | |||||
0 | 0 | |||||||||
−7.64057 | − | 1.62405i | −0.278253 | − | 0.0591445i | |||||
18.8080 | + | 13.6648i | 0.684493 | + | 0.497313i | |||||
0 | 0 | |||||||||
−1.57431 | + | 4.84524i | −0.0572194 | + | 0.176103i | −0.975581 | − | 0.219638i | ||
0.918362 | + | 0.395741i | ||||||||
−1.44208 | + | 2.49776i | −0.0523788 | + | 0.0907227i | |||||
0 | 0 | |||||||||
11.6762 | + | 20.2238i | 0.423542 | + | 0.733596i | |||||
12.2197 | − | 2.59739i | 0.442966 | − | 0.0941552i | 0.0189711 | − | 0.999820i | ||
0.423994 | + | 0.905665i | ||||||||
0 | 0 | |||||||||
−6.53870 | + | 2.91122i | −0.236717 | + | 0.105393i | |||||
−1.75952 | − | 5.41525i | −0.0636572 | − | 0.195917i | |||||
0 | 0 | |||||||||
9.74603 | + | 7.08091i | 0.352138 | + | 0.255844i | |||||
−1.04335 | − | 9.92677i | −0.0376730 | − | 0.358435i | |||||
0 | 0 | |||||||||
−2.74929 | − | 4.76192i | −0.0991421 | − | 0.171719i | 0.812188 | − | 0.583396i | ||
−0.911330 | + | 0.411677i | ||||||||
9.03971 | + | 2.07518i | 0.325768 | + | 0.0747843i | |||||
0 | 0 | |||||||||
−1.45936 | − | 1.62079i | −0.0525236 | − | 0.0583334i | |||||
−39.4097 | + | 28.6328i | −1.41747 | + | 1.02985i | −0.425284 | + | 0.905060i | ||
−0.992183 | + | 0.124790i | ||||||||
0 | 0 | |||||||||
−7.16186 | − | 22.0419i | −0.257262 | − | 0.791770i | |||||
−5.16536 | − | 1.09793i | −0.185426 | − | 0.0394134i | |||||
0 | 0 | |||||||||
21.9606 | + | 9.77749i | 0.787325 | + | 0.350540i | |||||
−24.4106 | + | 5.18863i | −0.874599 | + | 0.185902i | |||||
0 | 0 | |||||||||
−11.6431 | + | 33.9507i | −0.416623 | + | 1.21485i | |||||
−6.63466 | −0.237255 | |||||||||
0 | 0 | |||||||||
5.76597 | − | 4.18922i | 0.205927 | − | 0.149615i | |||||
29.8335 | − | 13.2827i | 1.06480 | − | 0.474082i | |||||
0 | 0 | |||||||||
13.6091 | − | 15.1145i | 0.485114 | − | 0.538773i | −0.450043 | − | 0.893007i | ||
0.935157 | + | 0.354233i | ||||||||
0.549770 | − | 5.23071i | 0.0195847 | − | 0.186336i | |||||
0 | 0 | |||||||||
19.1107 | + | 21.2245i | 0.679927 | + | 0.755135i | |||||
27.7616 | 0.987088 | |||||||||
0 | 0 | |||||||||
−15.3924 | −0.546601 | |||||||||
−8.88695 | − | 9.86995i | −0.315386 | − | 0.350272i | |||||
0 | 0 | |||||||||
1.19767 | − | 11.3951i | 0.0424503 | − | 0.403888i | |||||
11.5649 | − | 12.8441i | 0.409650 | − | 0.454963i | −0.502647 | − | 0.864492i | ||
0.912297 | + | 0.409529i | ||||||||
0 | 0 | |||||||||
9.39969 | − | 4.18501i | 0.332537 | − | 0.148055i | |||||
12.3356 | − | 8.96232i | 0.436128 | − | 0.316866i | |||||
0 | 0 | |||||||||
9.23484 | 0.326094 | |||||||||
−4.37939 | − | 14.2611i | −0.154545 | − | 0.503263i | |||||
0 | 0 | |||||||||
8.55763 | − | 1.81898i | 0.301617 | − | 0.0641106i | |||||
7.96547 | + | 3.54646i | 0.280572 | + | 0.124919i | |||||
0 | 0 | |||||||||
−1.13034 | − | 0.240262i | −0.0397653 | − | 0.00845238i | |||||
3.94755 | + | 12.1493i | 0.138789 | + | 0.427147i | 0.996160 | − | 0.0875508i | ||
−0.857371 | + | 0.514698i | ||||||||
0 | 0 | |||||||||
−14.3899 | + | 10.4549i | −0.505298 | + | 0.367121i | −0.811037 | − | 0.584995i | ||
0.305739 | + | 0.952115i | ||||||||
12.3173 | + | 13.6797i | 0.432252 | + | 0.480064i | |||||
0 | 0 | |||||||||
−5.88335 | + | 9.81909i | −0.206211 | + | 0.344159i | |||||
−6.37757 | − | 11.0463i | −0.223397 | − | 0.386934i | |||||
0 | 0 | |||||||||
1.08259 | + | 10.3002i | 0.0378751 | + | 0.360357i | |||||
19.9969 | + | 14.5286i | 0.699174 | + | 0.507980i | |||||
0 | 0 | |||||||||
9.31430 | + | 28.6665i | 0.325269 | + | 1.00108i | |||||
−27.7585 | + | 12.3589i | −0.968780 | + | 0.431329i | −0.829243 | − | 0.558888i | ||
−0.139537 | + | 0.990217i | ||||||||
0 | 0 | |||||||||
−25.0774 | + | 5.33037i | −0.874143 | + | 0.185805i | −0.623073 | − | 0.782164i | ||
−0.251071 | + | 0.967969i | ||||||||
7.60194 | + | 13.1669i | 0.264826 | + | 0.458692i | |||||
0 | 0 | |||||||||
3.39919 | − | 5.88756i | 0.118273 | − | 0.204855i | |||||
−3.14133 | + | 9.66803i | −0.109235 | + | 0.336190i | −0.990701 | − | 0.136057i | ||
0.881466 | + | 0.472247i | ||||||||
0 | 0 | |||||||||
−2.17360 | − | 1.57922i | −0.0754924 | − | 0.0548484i | 0.549399 | − | 0.835560i | ||
−0.624891 | + | 0.780712i | ||||||||
−6.06342 | − | 1.28882i | −0.210464 | − | 0.0447356i | |||||
0 | 0 | |||||||||
−0.130657 | + | 1.24312i | −0.00452972 | + | 0.0430974i | |||||
20.3849 | + | 9.07594i | 0.706295 | + | 0.314463i | |||||
0 | 0 | |||||||||
13.6111 | − | 23.5751i | 0.471031 | − | 0.815850i | |||||
−2.20482 | + | 18.1427i | −0.0762553 | + | 0.627479i | |||||
0 | 0 | |||||||||
−0.483630 | + | 1.48846i | −0.0167067 | + | 0.0514180i | |||||
−1.36910 | − | 13.0262i | −0.0472667 | − | 0.449713i | −0.992402 | − | 0.123035i | ||
0.945136 | − | 0.326678i | ||||||||
0 | 0 | |||||||||
21.8757 | − | 24.2954i | 0.754335 | − | 0.837774i | |||||
6.87152 | − | 7.63159i | 0.236808 | − | 0.263002i | |||||
0 | 0 | |||||||||
−0.315327 | − | 3.00014i | −0.0108540 | − | 0.103269i | |||||
−9.22207 | + | 28.3826i | −0.317249 | + | 0.976391i | |||||
0 | 0 | |||||||||
10.7117 | + | 12.7016i | 0.368057 | + | 0.436431i | |||||
−10.1040 | + | 17.5006i | −0.346972 | + | 0.600973i | |||||
0 | 0 | |||||||||
7.64763 | + | 3.40494i | 0.262312 | + | 0.116789i | |||||
−1.12865 | + | 10.7384i | −0.0386897 | + | 0.368108i | |||||
0 | 0 | |||||||||
−1.57801 | − | 0.335417i | −0.0540301 | − | 0.0114844i | 0.180817 | − | 0.983517i | ||
−0.234847 | + | 0.972032i | ||||||||
−8.48156 | − | 6.16221i | −0.290233 | − | 0.210867i | |||||
0 | 0 | |||||||||
8.89109 | − | 27.3639i | 0.303891 | − | 0.935281i | |||||
20.7735 | − | 35.9807i | 0.709608 | − | 1.22908i | −0.255395 | − | 0.966837i | ||
0.965003 | − | 0.262240i | ||||||||
0 | 0 | |||||||||
−19.0349 | − | 32.9695i | −0.649463 | − | 1.12490i | −0.983251 | − | 0.182255i | ||
0.333788 | − | 0.942648i | ||||||||
12.2357 | − | 2.60078i | 0.417234 | − | 0.0886858i | |||||
0 | 0 | |||||||||
−4.77984 | + | 2.12812i | −0.162802 | + | 0.0724841i | |||||
13.1442 | + | 40.4536i | 0.447433 | + | 1.37706i | 0.879793 | + | 0.475357i | ||
−0.432360 | + | 0.901701i | ||||||||
0 | 0 | |||||||||
32.8498 | + | 23.8668i | 1.11693 | + | 0.811495i | |||||
1.76134 | + | 16.7580i | 0.0598527 | + | 0.569461i | |||||
0 | 0 | |||||||||
−10.2739 | − | 17.7948i | −0.348717 | − | 0.603996i | |||||
4.52245 | + | 50.9641i | 0.153414 | + | 1.72884i | |||||
0 | 0 | |||||||||
11.9638 | + | 13.2872i | 0.405379 | + | 0.450219i | |||||
9.11742 | − | 6.62419i | 0.308755 | − | 0.224323i | |||||
0 | 0 | |||||||||
−1.53971 | − | 4.73875i | −0.0520816 | − | 0.160291i | |||||
9.62601 | + | 2.04607i | 0.325419 | + | 0.0691699i | |||||
0 | 0 | |||||||||
−7.22380 | − | 3.21624i | −0.243930 | − | 0.108605i | 0.281130 | − | 0.959670i | ||
−0.525061 | + | 0.851065i | ||||||||
0.645773 | − | 0.137263i | 0.0217938 | − | 0.00463241i | |||||
0 | 0 | |||||||||
13.8484 | + | 0.224552i | 0.466830 | + | 0.00756963i | |||||
41.5877 | 1.40113 | 0.700563 | − | 0.713591i | ||||||
0.700563 | + | 0.713591i | ||||||||
0 | 0 | |||||||||
−9.71314 | + | 7.05701i | −0.326873 | + | 0.237487i | −0.739103 | − | 0.673593i | ||
0.412229 | + | 0.911080i | ||||||||
9.95486 | − | 4.43219i | 0.334818 | − | 0.149071i | |||||
0 | 0 | |||||||||
4.82830 | − | 5.36237i | 0.162210 | − | 0.180152i | |||||
4.98779 | − | 47.4557i | 0.167474 | − | 1.59341i | −0.511527 | − | 0.859267i | ||
0.679000 | − | 0.734138i | ||||||||
0 | 0 | |||||||||
−22.5821 | − | 25.0800i | −0.757380 | − | 0.841156i | |||||
−19.7325 | −0.661434 | |||||||||
0 | 0 | |||||||||
−26.3436 | −0.882050 | |||||||||
5.17052 | + | 5.74244i | 0.173025 | + | 0.192163i | |||||
0 | 0 | |||||||||
−3.27267 | + | 31.1374i | −0.109393 | + | 1.04081i | |||||
11.0902 | − | 12.3169i | 0.370497 | − | 0.411478i | |||||
0 | 0 | |||||||||
14.1316 | − | 6.29181i | 0.471579 | − | 0.209960i | |||||
−55.7124 | + | 40.4774i | −1.85811 | + | 1.35000i | |||||
0 | 0 | |||||||||
−63.2683 | −2.10777 | |||||||||
5.06261 | − | 14.7623i | 0.168567 | − | 0.491532i | |||||
0 | 0 | |||||||||
−42.7564 | + | 9.08816i | −1.42206 | + | 0.302268i | |||||
−15.8935 | − | 7.07626i | −0.528319 | − | 0.235223i | |||||
0 | 0 | |||||||||
2.19782 | + | 0.467161i | 0.0729774 | + | 0.0155118i | 0.244256 | − | 0.969711i | ||
−0.171278 | + | 0.985223i | ||||||||
−7.81720 | − | 24.0589i | −0.259423 | − | 0.798422i | |||||
0 | 0 | |||||||||
3.35987 | − | 2.44109i | 0.111379 | − | 0.0809213i | |||||
8.56488 | + | 9.51226i | 0.283767 | + | 0.315155i | 0.868130 | − | 0.496337i | ||
−0.584363 | + | 0.811493i | ||||||||
0 | 0 | |||||||||
−7.29588 | − | 8.37196i | −0.241458 | − | 0.277071i | |||||
9.16370 | + | 15.8720i | 0.303108 | + | 0.524999i | |||||
0 | 0 | |||||||||
−3.29576 | − | 31.3571i | −0.108895 | − | 1.03607i | |||||
−4.85192 | − | 3.52513i | −0.160224 | − | 0.116410i | |||||
0 | 0 | |||||||||
3.53256 | + | 10.8721i | 0.116528 | + | 0.358637i | 0.992263 | − | 0.124156i | ||
−0.875734 | + | 0.482793i | ||||||||
−12.5844 | + | 5.60293i | −0.414895 | + | 0.184723i | |||||
0 | 0 | |||||||||
12.7921 | − | 2.71905i | 0.421287 | − | 0.0895472i | |||||
8.03567 | + | 13.9182i | 0.264497 | + | 0.458123i | |||||
0 | 0 | |||||||||
6.81198 | − | 11.7987i | 0.223976 | − | 0.387939i | |||||
−3.01982 | + | 9.29405i | −0.0992375 | + | 0.305422i | |||||
0 | 0 | |||||||||
−36.6530 | − | 26.6300i | −1.20319 | − | 0.874172i | |||||
9.03552 | + | 1.92056i | 0.296446 | + | 0.0630115i | 0.353734 | − | 0.935346i | ||
−0.0572878 | + | 0.998358i | ||||||||
0 | 0 | |||||||||
−1.75167 | + | 16.6660i | −0.0574087 | + | 0.546207i | |||||
−0.642115 | − | 0.285888i | −0.0210332 | − | 0.00936457i | |||||
0 | 0 | |||||||||
−2.03359 | + | 3.52228i | −0.0665411 | + | 0.115253i | |||||
21.0699 | + | 37.9002i | 0.689058 | + | 1.23947i | |||||
0 | 0 | |||||||||
−10.4711 | + | 32.2266i | −0.342075 | + | 1.05280i | 0.621056 | + | 0.783766i | ||
−0.963131 | + | 0.269032i | ||||||||
1.27293 | + | 12.1111i | 0.0415627 | + | 0.395443i | |||||
0 | 0 | |||||||||
6.24494 | − | 6.93570i | 0.203687 | − | 0.226218i | |||||
−7.07680 | + | 7.85958i | −0.230697 | + | 0.256215i | −0.847368 | − | 0.531006i | ||
0.616671 | + | 0.787221i | ||||||||
0 | 0 | |||||||||
−1.53878 | − | 14.6405i | −0.0501096 | − | 0.476761i | |||||
3.13717 | − | 9.65521i | 0.102106 | − | 0.314250i | |||||
0 | 0 | |||||||||
−5.87331 | − | 2.72991i | −0.190958 | − | 0.0887570i | |||||
−1.82612 | + | 3.16292i | −0.0593408 | + | 0.102781i | −0.894170 | − | 0.447728i | ||
0.834829 | + | 0.550510i | ||||||||
0 | 0 | |||||||||
−6.10253 | − | 2.71702i | −0.198096 | − | 0.0881982i | |||||
−0.657159 | + | 6.25245i | −0.0213211 | + | 0.202856i | |||||
0 | 0 | |||||||||
16.6177 | + | 3.53220i | 0.538583 | + | 0.114479i | |||||
−11.6292 | − | 8.44909i | −0.376706 | − | 0.273693i | 0.383280 | − | 0.923632i | ||
−0.759986 | + | 0.649939i | ||||||||
0 | 0 | |||||||||
3.13522 | − | 9.64922i | 0.101453 | − | 0.312241i | |||||
14.7738 | − | 25.5890i | 0.477819 | − | 0.827607i | |||||
0 | 0 | |||||||||
13.6001 | + | 23.5560i | 0.439399 | + | 0.761061i | |||||
8.85163 | − | 1.88147i | 0.285834 | − | 0.0607559i | |||||
0 | 0 | |||||||||
41.9039 | − | 18.6568i | 1.35174 | − | 0.601832i | |||||
1.58388 | + | 4.87469i | 0.0510665 | + | 0.157166i | |||||
0 | 0 | |||||||||
−22.4327 | − | 16.2983i | −0.722508 | − | 0.524933i | |||||
−0.406220 | − | 3.86492i | −0.0130767 | − | 0.124416i | |||||
0 | 0 | |||||||||
−17.6955 | − | 30.6496i | −0.569050 | − | 0.985623i | −0.996660 | − | 0.0816600i | ||
0.427610 | − | 0.903963i | ||||||||
−20.6554 | − | 16.0554i | −0.663889 | − | 0.516041i | |||||
0 | 0 | |||||||||
−2.75062 | − | 3.05488i | −0.0883172 | − | 0.0980862i | |||||
0.118477 | − | 0.0860787i | 0.00380211 | − | 0.00276240i | −0.585883 | − | 0.810396i | ||
0.589685 | + | 0.807634i | ||||||||
0 | 0 | |||||||||
8.02293 | + | 24.6920i | 0.257203 | + | 0.791591i | |||||
9.69691 | + | 2.06114i | 0.310709 | + | 0.0660432i | |||||
0 | 0 | |||||||||
−14.3021 | − | 6.36769i | −0.457798 | − | 0.203825i | |||||
39.1373 | − | 8.31889i | 1.25211 | − | 0.266145i | 0.466310 | − | 0.884622i | ||
0.785803 | + | 0.618477i | ||||||||
0 | 0 | |||||||||
−28.2578 | − | 21.2389i | −0.903122 | − | 0.678798i | |||||
20.2401 | 0.646545 | |||||||||
0 | 0 | |||||||||
21.3896 | − | 15.5404i | 0.682568 | − | 0.495915i | |||||
−13.9510 | + | 6.21137i | −0.444967 | + | 0.198112i | −0.616974 | − | 0.786984i | ||
0.172007 | + | 0.985096i | ||||||||
0 | 0 | |||||||||
6.27092 | − | 6.96456i | 0.199808 | − | 0.221909i | |||||
2.60005 | − | 24.7378i | 0.0828025 | − | 0.787813i | |||||
0 | 0 | |||||||||
5.47590 | + | 6.08160i | 0.174212 | + | 0.193482i | |||||
−6.10940 | −0.194268 | |||||||||
0 | 0 | |||||||||
21.5067 | 0.683184 | 0.341592 | − | 0.939848i | ||||||
0.341592 | + | 0.939848i | ||||||||
33.8394 | + | 37.5825i | 1.07440 | + | 1.19325i | |||||
0 | 0 | |||||||||
−1.14419 | + | 10.8862i | −0.0362915 | + | 0.345290i | |||||
13.6612 | − | 15.1723i | 0.433088 | − | 0.480993i | |||||
0 | 0 | |||||||||
−20.1502 | + | 8.97143i | −0.638162 | + | 0.284128i | −0.700201 | − | 0.713946i | ||
0.0620390 | + | 0.998074i | ||||||||
−1.72106 | + | 1.25042i | −0.0544791 | + | 0.0395814i | |||||
0 | 0 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 891.2.n.g.460.2 | 32 | ||
3.2 | odd | 2 | inner | 891.2.n.g.460.3 | 32 | ||
9.2 | odd | 6 | 297.2.f.c.163.3 | yes | 16 | ||
9.4 | even | 3 | inner | 891.2.n.g.757.3 | 32 | ||
9.5 | odd | 6 | inner | 891.2.n.g.757.2 | 32 | ||
9.7 | even | 3 | 297.2.f.c.163.2 | yes | 16 | ||
11.5 | even | 5 | inner | 891.2.n.g.379.3 | 32 | ||
33.5 | odd | 10 | inner | 891.2.n.g.379.2 | 32 | ||
99.5 | odd | 30 | inner | 891.2.n.g.676.3 | 32 | ||
99.7 | odd | 30 | 3267.2.a.bh.1.5 | 8 | |||
99.16 | even | 15 | 297.2.f.c.82.2 | ✓ | 16 | ||
99.29 | even | 30 | 3267.2.a.bh.1.4 | 8 | |||
99.38 | odd | 30 | 297.2.f.c.82.3 | yes | 16 | ||
99.49 | even | 15 | inner | 891.2.n.g.676.2 | 32 | ||
99.70 | even | 15 | 3267.2.a.bg.1.4 | 8 | |||
99.92 | odd | 30 | 3267.2.a.bg.1.5 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
297.2.f.c.82.2 | ✓ | 16 | 99.16 | even | 15 | ||
297.2.f.c.82.3 | yes | 16 | 99.38 | odd | 30 | ||
297.2.f.c.163.2 | yes | 16 | 9.7 | even | 3 | ||
297.2.f.c.163.3 | yes | 16 | 9.2 | odd | 6 | ||
891.2.n.g.379.2 | 32 | 33.5 | odd | 10 | inner | ||
891.2.n.g.379.3 | 32 | 11.5 | even | 5 | inner | ||
891.2.n.g.460.2 | 32 | 1.1 | even | 1 | trivial | ||
891.2.n.g.460.3 | 32 | 3.2 | odd | 2 | inner | ||
891.2.n.g.676.2 | 32 | 99.49 | even | 15 | inner | ||
891.2.n.g.676.3 | 32 | 99.5 | odd | 30 | inner | ||
891.2.n.g.757.2 | 32 | 9.5 | odd | 6 | inner | ||
891.2.n.g.757.3 | 32 | 9.4 | even | 3 | inner | ||
3267.2.a.bg.1.4 | 8 | 99.70 | even | 15 | |||
3267.2.a.bg.1.5 | 8 | 99.92 | odd | 30 | |||
3267.2.a.bh.1.4 | 8 | 99.29 | even | 30 | |||
3267.2.a.bh.1.5 | 8 | 99.7 | odd | 30 |