Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [588,2,Mod(263,588)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(588, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("588.263");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 588.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: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 263.3 | ||
Character | 588.263 | ||
Dual form | 588.2.n.h.275.3 |
-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 .
−1.34296 | − | 0.443234i | −0.949617 | − | 0.313414i | |||||
−1.66143 | − | 0.489533i | −0.959228 | − | 0.282632i | |||||
1.60709 | + | 1.19049i | 0.803544 | + | 0.595246i | |||||
1.08570 | − | 0.626827i | 0.485538 | − | 0.280326i | −0.237183 | − | 0.971465i | ||
0.722722 | + | 0.691139i | ||||||||
2.01426 | + | 1.39383i | 0.822319 | + | 0.569027i | |||||
0 | 0 | |||||||||
−1.63059 | − | 2.31110i | −0.576500 | − | 0.817097i | |||||
2.52072 | + | 1.62665i | 0.840238 | + | 0.542217i | |||||
−1.73588 | + | 0.360587i | −0.548933 | + | 0.114028i | |||||
−2.52914 | + | 4.38059i | −0.762563 | + | 1.32080i | 0.178962 | + | 0.983856i | ||
−0.941525 | + | 0.336942i | ||||||||
−2.08728 | − | 2.76464i | −0.602547 | − | 0.798084i | |||||
4.41798 | 1.22533 | 0.612664 | − | 0.790344i | ||||||
0.612664 | + | 0.790344i | ||||||||
0 | 0 | |||||||||
−2.11066 | + | 0.509947i | −0.544971 | + | 0.131668i | |||||
1.16546 | + | 3.82645i | 0.291365 | + | 0.956612i | |||||
−5.06920 | − | 2.92671i | −1.22946 | − | 0.709831i | −0.262545 | − | 0.964920i | ||
−0.966918 | + | 0.255089i | ||||||||
−2.66423 | − | 3.30180i | −0.627966 | − | 0.778241i | |||||
−1.32654 | + | 0.765881i | −0.304330 | + | 0.175705i | −0.644386 | − | 0.764700i | ||
0.340056 | + | 0.940405i | ||||||||
2.49104 | + | 0.285146i | 0.557014 | + | 0.0637607i | |||||
0 | 0 | |||||||||
5.33816 | − | 4.76197i | 1.13810 | − | 1.01525i | |||||
−0.156785 | − | 0.271560i | −0.0326920 | − | 0.0566242i | 0.849217 | − | 0.528045i | ||
−0.881908 | + | 0.471421i | ||||||||
1.57776 | + | 4.63796i | 0.322058 | + | 0.946720i | |||||
−1.71417 | + | 2.96904i | −0.342835 | + | 0.593808i | |||||
−5.93317 | − | 1.95820i | −1.16359 | − | 0.384034i | |||||
−3.39170 | − | 3.93654i | −0.652733 | − | 0.757588i | |||||
0 | 0 | |||||||||
5.53862i | 1.02850i | 0.857642 | + | 0.514248i | ||||||
−0.857642 | + | 0.514248i | ||||||||
3.06057 | + | 0.250679i | 0.558780 | + | 0.0457675i | |||||
4.24264 | + | 2.44949i | 0.762001 | + | 0.439941i | 0.830014 | − | 0.557743i | ||
−0.0680129 | + | 0.997684i | ||||||||
0.130843 | − | 5.65534i | 0.0231301 | − | 0.999732i | |||||
6.34643 | − | 6.03996i | 1.10477 | − | 1.05142i | |||||
5.51053 | + | 6.17729i | 0.945048 | + | 1.05940i | |||||
0 | 0 | |||||||||
2.11450 | + | 5.61506i | 0.352416 | + | 0.935843i | |||||
2.66908 | + | 4.62298i | 0.438794 | + | 0.760013i | 0.997597 | − | 0.0692872i | ||
−0.558803 | + | 0.829301i | ||||||||
2.12096 | − | 0.440578i | 0.344065 | − | 0.0714713i | |||||
−7.34017 | − | 2.16275i | −1.17537 | − | 0.346317i | |||||
−3.21899 | − | 1.48705i | −0.508966 | − | 0.235124i | |||||
1.97938i | 0.309127i | 0.987983 | + | 0.154564i | ||||||
−0.987983 | + | 0.154564i | ||||||||
0 | 0 | |||||||||
− | 3.18613i | − | 0.485881i | −0.970041 | − | 0.242940i | ||||
0.970041 | − | 0.242940i | ||||||||
−9.27960 | + | 4.02908i | −1.39895 | + | 0.607407i | |||||
3.75636 | + | 0.185997i | 0.559965 | + | 0.0277268i | |||||
0.0901918 | + | 0.434187i | 0.0132981 | + | 0.0640174i | |||||
5.74813 | + | 9.95606i | 0.838451 | + | 1.45224i | 0.891189 | + | 0.453632i | ||
−0.0527378 | + | 0.998608i | ||||||||
−0.0631619 | − | 6.92792i | −0.00911663 | − | 0.999958i | |||||
0 | 0 | |||||||||
3.61805 | − | 3.22752i | 0.511669 | − | 0.456440i | |||||
6.98942 | + | 7.34407i | 0.978715 | + | 1.02838i | |||||
7.10008 | + | 5.25957i | 0.984604 | + | 0.729371i | |||||
11.0767 | + | 6.39513i | 1.52150 | + | 0.878439i | 0.999678 | + | 0.0253856i | ||
0.521823 | + | 0.853054i | ||||||||
2.81011 | + | 6.78994i | 0.382407 | + | 0.923994i | |||||
6.34133i | 0.855064i | |||||||||
0 | 0 | |||||||||
2.57889 | − | 0.623072i | 0.341582 | − | 0.0825279i | |||||
2.45490 | − | 7.43815i | 0.322345 | − | 0.976677i | |||||
3.98351 | − | 6.89964i | 0.518608 | − | 0.898256i | −0.481158 | − | 0.876634i | ||
0.999766 | − | 0.0216222i | ||||||||
−3.99911 | − | 1.69320i | −0.516283 | − | 0.218591i | |||||
0.151445 | + | 0.262310i | 0.0193905 | + | 0.0335853i | 0.875558 | − | 0.483113i | ||
−0.856167 | + | 0.516699i | ||||||||
−4.61200 | − | 5.17005i | −0.585725 | − | 0.656597i | |||||
0 | 0 | |||||||||
−2.68236 | + | 7.53691i | −0.335295 | + | 0.942113i | |||||
4.79659 | − | 2.76931i | 0.594943 | − | 0.343491i | |||||
−11.2001 | + | 5.29848i | −1.37864 | + | 0.652198i | |||||
9.13122 | + | 5.27191i | 1.11556 | + | 0.644067i | 0.940263 | − | 0.340450i | ||
0.175293 | + | 0.984516i | ||||||||
−4.66244 | − | 10.7383i | −0.565403 | − | 1.30221i | |||||
0.127550 | + | 0.527930i | 0.0153553 | + | 0.0635553i | |||||
0 | 0 | |||||||||
4.53490 | 0.538194 | 0.269097 | − | 0.963113i | ||||||
0.269097 | + | 0.963113i | ||||||||
−0.350899 | − | 8.47802i | −0.0413539 | − | 0.999145i | |||||
−0.707107 | + | 1.22474i | −0.0827606 | + | 0.143346i | −0.904435 | − | 0.426612i | ||
0.821674 | + | 0.569958i | ||||||||
−1.53541 | − | 7.39151i | −0.178487 | − | 0.859245i | |||||
4.30143 | − | 4.09371i | 0.496686 | − | 0.472701i | |||||
−3.04365 | − | 0.348402i | −0.349130 | − | 0.0399645i | |||||
0 | 0 | |||||||||
8.89896 | + | 6.15790i | 1.00761 | + | 0.697245i | |||||
−6.00000 | + | 3.46410i | −0.675053 | + | 0.389742i | −0.797988 | − | 0.602673i | ||
0.122936 | + | 0.992415i | ||||||||
3.66386 | + | 3.42382i | 0.409632 | + | 0.382795i | |||||
3.70801 | + | 8.20065i | 0.412001 | + | 0.911183i | |||||
0.877328 | − | 2.65823i | 0.0968847 | − | 0.293552i | |||||
6.78340 | 0.744575 | 0.372287 | − | 0.928118i | ||||||
0.372287 | + | 0.928118i | ||||||||
0 | 0 | |||||||||
−7.33816 | −0.795935 | |||||||||
−1.41220 | + | 4.27885i | −0.152282 | + | 0.461400i | |||||
2.71134 | − | 9.20204i | 0.290686 | − | 0.986563i | |||||
14.2480 | − | 1.29786i | 1.51884 | − | 0.138353i | |||||
−4.15480 | + | 2.39878i | −0.440408 | + | 0.254270i | −0.703771 | − | 0.710427i | ||
0.263363 | + | 0.964697i | ||||||||
−4.96221 | − | 1.91473i | −0.523063 | − | 0.201831i | |||||
0 | 0 | |||||||||
0.0713222 | − | 0.623072i | 0.00743586 | − | 0.0649597i | |||||
−5.84975 | − | 6.14657i | −0.606591 | − | 0.637370i | |||||
−3.30666 | − | 15.9184i | −0.341055 | − | 1.64185i | |||||
−0.960150 | + | 1.66303i | −0.0985093 | + | 0.170623i | |||||
−2.98586 | + | 9.33191i | −0.304743 | + | 0.952435i | |||||
−13.6844 | −1.38944 | −0.694719 | − | 0.719281i | ||||||
−0.694719 | + | 0.719281i | ||||||||
0 | 0 | |||||||||
−13.5009 | + | 6.92820i | −1.35689 | + | 0.696311i | |||||
−6.28944 | + | 2.73079i | −0.628944 | + | 0.273079i | |||||
−3.52631 | − | 2.03591i | −0.350881 | − | 0.202581i | 0.314192 | − | 0.949359i | ||
−0.665073 | + | 0.746778i | ||||||||
−6.13138 | − | 12.9607i | −0.607097 | − | 1.28330i | |||||
−11.3239 | + | 6.53788i | −1.11578 | + | 0.644197i | −0.940321 | − | 0.340290i | ||
−0.175461 | + | 0.984486i | ||||||||
−7.20391 | − | 10.2104i | −0.706402 | − | 1.00121i | |||||
0 | 0 | |||||||||
−12.0410 | − | 13.4980i | −1.16953 | − | 1.31104i | |||||
−1.95388 | − | 3.38422i | −0.188889 | − | 0.327165i | 0.755991 | − | 0.654582i | ||
−0.944880 | + | 0.327417i | ||||||||
−0.764334 | − | 10.3642i | −0.0735481 | − | 0.997292i | |||||
4.12398 | − | 7.14295i | 0.395006 | − | 0.684170i | −0.598096 | − | 0.801424i | ||
0.993102 | + | 0.117254i | ||||||||
2.81069 | − | 8.51615i | 0.267989 | − | 0.811983i | |||||
−2.17139 | − | 8.98737i | −0.206100 | − | 0.853044i | |||||
0 | 0 | |||||||||
6.72485i | 0.632621i | 0.948656 | + | 0.316311i | ||||||
−0.948656 | + | 0.316311i | ||||||||
−3.73951 | − | 0.306289i | −0.350237 | − | 0.0286866i | |||||
−0.340442 | − | 0.196554i | −0.0317464 | − | 0.0183288i | |||||
−6.59368 | + | 8.90105i | −0.612208 | + | 0.826442i | |||||
11.1365 | + | 7.18651i | 1.02957 | + | 0.664393i | |||||
−8.40785 | + | 7.50032i | −0.774005 | + | 0.690460i | |||||
0 | 0 | |||||||||
4.62016 | + | 4.04644i | 0.421761 | + | 0.369388i | |||||
−7.29306 | − | 12.6320i | −0.663006 | − | 1.14836i | |||||
−0.0871196 | − | 0.419397i | −0.00788744 | − | 0.0379704i | |||||
0.968971 | − | 3.28861i | 0.0873692 | − | 0.296524i | |||||
3.90220 | + | 8.98737i | 0.350428 | + | 0.807090i | |||||
10.5662i | 0.945073i | |||||||||
0 | 0 | |||||||||
− | 8.50404i | − | 0.754611i | −0.926089 | − | 0.377306i | ||||
0.926089 | − | 0.377306i | ||||||||
6.94291 | − | 8.93286i | 0.613672 | − | 0.789561i | |||||
−1.55972 | + | 5.29354i | −0.137325 | + | 0.466070i | |||||
−7.66908 | + | 1.59307i | −0.672623 | + | 0.139721i | |||||
4.20524 | + | 7.28368i | 0.367413 | + | 0.636378i | 0.989160 | − | 0.146840i | ||
−0.621747 | + | 0.783218i | ||||||||
17.3898 | − | 2.15138i | 1.51359 | − | 0.187253i | |||||
0 | 0 | |||||||||
−9.92618 | − | 11.1272i | −0.857491 | − | 0.961247i | |||||
−6.14989 | − | 2.14788i | −0.529298 | − | 0.184860i | |||||
1.50188 | + | 16.4877i | 0.128785 | + | 1.41381i | |||||
−11.9136 | − | 6.87834i | −1.01785 | − | 0.587657i | −0.104370 | − | 0.994539i | ||
−0.913481 | + | 0.406882i | ||||||||
0.0627011 | − | 0.765524i | 0.00533747 | − | 0.0651657i | |||||
13.1652i | 1.11666i | 0.829620 | + | 0.558328i | ||||||
−0.829620 | + | 0.558328i | ||||||||
0 | 0 | |||||||||
−4.67632 | − | 19.3552i | −0.393817 | − | 1.63000i | |||||
−6.09019 | − | 2.01002i | −0.511078 | − | 0.168677i | |||||
−11.1737 | + | 19.3534i | −0.934389 | + | 1.61841i | |||||
−3.28650 | + | 11.5412i | −0.273875 | + | 0.961765i | |||||
3.47176 | + | 6.01326i | 0.288314 | + | 0.499374i | |||||
1.49247 | − | 1.33137i | 0.123517 | − | 0.110185i | |||||
0 | 0 | |||||||||
−1.21417 | + | 10.6071i | −0.0998046 | + | 0.871894i | |||||
9.78354 | − | 5.64853i | 0.801499 | − | 0.462745i | −0.0424963 | − | 0.999097i | ||
0.843995 | + | 0.536351i | ||||||||
−7.59112 | + | 3.59116i | −0.619812 | + | 0.293217i | |||||
−9.61268 | − | 5.54988i | −0.782269 | − | 0.451643i | 0.0549650 | − | 0.998488i | ||
−0.837234 | + | 0.546845i | ||||||||
3.93307 | + | 1.81694i | 0.319015 | + | 0.147373i | |||||
−8.01729 | − | 15.6232i | −0.648159 | − | 1.26306i | |||||
0 | 0 | |||||||||
6.14163 | 0.493307 | |||||||||
−9.22157 | − | 12.2141i | −0.738317 | − | 0.977914i | |||||
7.39785 | − | 12.8135i | 0.590413 | − | 1.02262i | −0.403764 | − | 0.914863i | ||
0.994177 | − | 0.107762i | ||||||||
9.59317 | − | 1.99275i | 0.763192 | − | 0.158535i | |||||
−15.2726 | − | 16.0475i | −1.21119 | − | 1.27265i | |||||
−3.40287 | − | 6.22200i | −0.269020 | − | 0.491892i | |||||
0 | 0 | |||||||||
−1.34491 | − | 12.6567i | −0.105666 | − | 0.994402i | |||||
11.4887 | − | 6.63300i | 0.899864 | − | 0.519537i | 0.0227080 | − | 0.999742i | ||
0.877156 | + | 0.480205i | ||||||||
−2.35643 | + | 3.18104i | −0.184007 | + | 0.248397i | |||||
3.10429 | − | 10.5357i | 0.241668 | − | 0.820202i | |||||
−9.10984 | − | 3.00663i | −0.707060 | − | 0.233360i | |||||
4.78624 | 0.370371 | 0.185185 | − | 0.982704i | ||||||
0.185185 | + | 0.982704i | ||||||||
0 | 0 | |||||||||
6.51854 | 0.501426 | |||||||||
9.85486 | + | 3.25252i | 0.755833 | + | 0.249457i | |||||
−4.58966 | − | 0.227258i | −0.350980 | − | 0.0173789i | |||||
3.79306 | − | 5.12039i | 0.289218 | − | 0.390426i | |||||
−12.4811 | + | 7.20596i | −0.948920 | + | 0.547859i | −0.892745 | − | 0.450562i | ||
−0.0561749 | + | 0.998421i | ||||||||
−7.71988 | + | 11.1562i | −0.585242 | + | 0.845751i | |||||
0 | 0 | |||||||||
−19.7097 | − | 4.57220i | −1.48568 | − | 0.344643i | |||||
−9.99593 | + | 9.51322i | −0.751340 | + | 0.715058i | |||||
6.64296 | − | 1.37991i | 0.497911 | − | 0.103429i | |||||
−0.347150 | + | 0.601281i | −0.0259472 | + | 0.0449419i | −0.878707 | − | 0.477361i | ||
0.852760 | + | 0.522303i | ||||||||
5.81537 | + | 4.77083i | 0.433452 | + | 0.355597i | |||||
6.31042 | 0.469050 | 0.234525 | − | 0.972110i | ||||||
0.234525 | + | 0.972110i | ||||||||
0 | 0 | |||||||||
−0.123206 | − | 0.509947i | −0.00910763 | − | 0.0376964i | |||||
−0.371950 | + | 0.805149i | −0.0274205 | + | 0.0593564i | |||||
5.79562 | + | 3.34610i | 0.426103 | + | 0.246010i | |||||
5.13162 | + | 10.8474i | 0.376269 | + | 0.795371i | |||||
25.6414 | − | 14.8041i | 1.87509 | − | 1.08258i | |||||
−2.61485 | + | 22.8434i | −0.190707 | + | 1.66602i | |||||
0 | 0 | |||||||||
2.02655 | − | 1.80781i | 0.147022 | − | 0.131152i | |||||
−1.95388 | − | 3.38422i | −0.141378 | − | 0.244873i | 0.786638 | − | 0.617415i | ||
−0.928016 | + | 0.372541i | ||||||||
8.14612 | − | 11.2090i | 0.587895 | − | 0.808937i | |||||
−0.785825 | + | 1.36109i | −0.0565649 | + | 0.0979733i | −0.892921 | − | 0.450213i | ||
0.836356 | + | 0.548186i | ||||||||
18.3776 | + | 6.06538i | 1.31943 | + | 0.435469i | |||||
−9.32487 | + | 2.25294i | −0.667768 | + | 0.161336i | |||||
0 | 0 | |||||||||
1.83285i | 0.130585i | 0.997866 | + | 0.0652924i | ||||||
−0.997866 | + | 0.0652924i | ||||||||
21.2020 | − | 3.32024i | 1.50676 | − | 0.235959i | |||||
3.17910 | + | 1.83546i | 0.225361 | + | 0.130112i | 0.608430 | − | 0.793608i | ||
−0.383069 | + | 0.923720i | ||||||||
9.65686 | − | 0.879654i | 0.682843 | − | 0.0622010i | |||||
−12.5901 | − | 13.2290i | −0.888039 | − | 0.933099i | |||||
3.83331 | + | 4.29713i | 0.269710 | + | 0.302345i | |||||
0 | 0 | |||||||||
2.48956 | + | 20.1234i | 0.174304 | + | 1.40892i | |||||
1.24073 | + | 2.14901i | 0.0866563 | + | 0.150093i | |||||
18.1054 | − | 3.76096i | 1.26146 | − | 0.262039i | |||||
0.0465225 | − | 0.939560i | 0.00323354 | − | 0.0653039i | |||||
5.14898 | + | 16.9052i | 0.357018 | + | 1.17216i | |||||
− | 7.74807i | − | 0.535945i | |||||||
0 | 0 | |||||||||
14.8763i | 1.02413i | 0.858948 | + | 0.512063i | ||||||
−0.858948 | + | 0.512063i | ||||||||
10.1879 | + | 23.4642i | 0.699706 | + | 1.61153i | |||||
−7.53443 | − | 2.21998i | −0.516251 | − | 0.152111i | |||||
1.12398 | + | 5.41090i | 0.0768339 | + | 0.369881i | |||||
−1.99715 | − | 3.45917i | −0.136205 | − | 0.235914i | |||||
−3.56728 | + | 14.2574i | −0.242722 | + | 0.970096i | |||||
0 | 0 | |||||||||
−8.70434 | + | 7.76481i | −0.589533 | + | 0.525899i | |||||
1.77436 | − | 1.68868i | 0.119900 | − | 0.114110i | |||||
−7.54930 | + | 10.1911i | −0.508973 | + | 0.687082i | |||||
−22.3956 | − | 12.9301i | −1.50649 | − | 0.869775i | |||||
−1.06741 | + | 13.0321i | −0.0716399 | + | 0.874659i | |||||
− | 19.4171i | − | 1.30026i | −0.759821 | − | 0.650132i | ||||
0.759821 | − | 0.650132i | ||||||||
0 | 0 | |||||||||
−9.15054 | + | 4.69573i | −0.610036 | + | 0.313049i | |||||
2.98068 | − | 9.03122i | 0.198272 | − | 0.600748i | |||||
−5.34136 | + | 9.25151i | −0.354519 | + | 0.614045i | −0.987035 | − | 0.160502i | ||
0.632517 | + | 0.774547i | ||||||||
4.88626 | + | 2.06881i | 0.323600 | + | 0.137010i | |||||
−3.75075 | − | 6.49650i | −0.247857 | − | 0.429301i | 0.715074 | − | 0.699049i | ||
−0.962931 | + | 0.269748i | ||||||||
0.370081 | + | 0.414861i | 0.0244024 | + | 0.0273551i | |||||
0 | 0 | |||||||||
12.8003 | − | 9.03122i | 0.840381 | − | 0.592928i | |||||
−2.42423 | + | 1.39963i | −0.158817 | + | 0.0916930i | −0.577302 | − | 0.816531i | ||
0.418485 | + | 0.908224i | ||||||||
−11.7705 | − | 14.5873i | −0.769464 | − | 0.953599i | |||||
12.4815 | + | 7.20617i | 0.814201 | + | 0.470079i | |||||
14.6158 | − | 6.34599i | 0.951408 | − | 0.413089i | |||||
11.6644 | − | 2.81817i | 0.757683 | − | 0.183060i | |||||
0 | 0 | |||||||||
20.5467 | 1.32905 | 0.664527 | − | 0.747265i | ||||||
0.664527 | + | 0.747265i | ||||||||
−4.41118 | − | 7.48202i | −0.284741 | − | 0.482963i | |||||
−9.02728 | + | 15.6357i | −0.581499 | + | 1.00718i | 0.413804 | + | 0.910366i | ||
−0.995302 | + | 0.0968188i | ||||||||
4.19539 | + | 20.1968i | 0.269690 | + | 1.29830i | |||||
−2.14612 | − | 15.4400i | −0.137674 | − | 0.990478i | |||||
−0.0688928 | + | 0.601848i | −0.00441041 | + | 0.0385294i | |||||
0 | 0 | |||||||||
−2.75891 | + | 3.98699i | −0.175902 | + | 0.254201i | |||||
−5.86064 | + | 3.38364i | −0.372904 | + | 0.215296i | |||||
−1.25699 | − | 13.7993i | −0.0798191 | − | 0.876255i | |||||
−11.2702 | − | 3.32070i | −0.714217 | − | 0.210441i | |||||
4.68332 | − | 14.1900i | 0.296199 | − | 0.897457i | |||||
−10.4810 | −0.661555 | −0.330777 | − | 0.943709i | ||||||
−0.330777 | + | 0.943709i | ||||||||
0 | 0 | |||||||||
1.58612 | 0.0997188 | |||||||||
−3.76928 | + | 11.4206i | −0.236505 | + | 0.716591i | |||||
12.1919 | + | 3.59227i | 0.763483 | + | 0.224957i | |||||
−13.2834 | + | 8.91915i | −0.830213 | + | 0.557447i | |||||
−7.24060 | + | 4.18036i | −0.451656 | + | 0.260764i | −0.708529 | − | 0.705681i | ||
0.256873 | + | 0.966445i | ||||||||
4.44091 | − | 6.41770i | 0.276479 | − | 0.399549i | |||||
0 | 0 | |||||||||
11.0054 | + | 1.25977i | 0.682524 | + | 0.0781277i | |||||
−9.00941 | + | 13.9613i | −0.557668 | + | 0.864182i | |||||
−2.41909 | − | 11.6456i | −0.149452 | − | 0.719468i | |||||
14.6850 | − | 25.4352i | 0.905517 | − | 1.56840i | 0.0852962 | − | 0.996356i | ||
0.820221 | − | 0.572046i | ||||||||
−24.3074 | − | 4.81853i | −1.49602 | − | 0.296560i | |||||
16.0346 | 0.984996 | |||||||||
0 | 0 | |||||||||
8.07720 | − | 1.95149i | 0.494317 | − | 0.119429i | |||||
8.39850 | + | 19.3431i | 0.513020 | + | 1.18157i | |||||
17.6649 | + | 10.1988i | 1.07705 | + | 0.621834i | 0.930099 | − | 0.367310i | ||
0.146950 | + | 0.989144i | ||||||||
7.30705 | + | 5.61036i | 0.444693 | + | 0.341436i | |||||
−17.8370 | + | 10.2982i | −1.08352 | + | 0.625572i | −0.931844 | − | 0.362858i | ||
−0.151678 | + | 0.988430i | ||||||||
5.29093 | − | 22.8080i | 0.320810 | − | 1.38294i | |||||
0 | 0 | |||||||||
12.9508 | + | 14.5179i | 0.782389 | + | 0.877057i | |||||
−8.67076 | − | 15.0182i | −0.522867 | − | 0.905632i | |||||
−0.423511 | + | 1.00028i | −0.0254924 | + | 0.0602096i | |||||
1.97345 | − | 3.41811i | 0.118573 | − | 0.205374i | −0.800629 | − | 0.599160i | ||
0.919202 | + | 0.393786i | ||||||||
5.83525 | − | 17.6803i | 0.349975 | − | 1.06039i | |||||
6.71002 | + | 13.0758i | 0.401719 | + | 0.782825i | |||||
0 | 0 | |||||||||
1.18623i | 0.0707648i | 0.999374 | + | 0.0353824i | ||||||
−0.999374 | + | 0.0353824i | ||||||||
−2.29878 | + | 28.0660i | −0.136890 | + | 1.67131i | |||||
−23.9744 | − | 13.8416i | −1.42513 | − | 0.822800i | −0.428401 | − | 0.903589i | ||
−0.996731 | + | 0.0807885i | ||||||||
7.28798 | + | 5.39876i | 0.432462 | + | 0.320357i | |||||
2.40933 | − | 2.29298i | 0.142716 | − | 0.135825i | |||||
23.5839 | − | 21.0383i | 1.39454 | − | 1.24402i | |||||
0 | 0 | |||||||||
9.52909 | − | 14.0427i | 0.561507 | − | 0.827472i | |||||
8.63122 | + | 14.9497i | 0.507719 | + | 0.879395i | |||||
−1.99715 | − | 9.61438i | −0.117277 | − | 0.564576i | |||||
22.7357 | + | 6.69895i | 1.33279 | + | 0.392700i | |||||
−2.59443 | + | 1.12647i | −0.151828 | + | 0.0659215i | |||||
0.197795i | 0.0115553i | 0.999983 | + | 0.00577765i | ||||||
−0.999983 | + | 0.00577765i | ||||||||
0 | 0 | |||||||||
− | 9.98789i | − | 0.581517i | |||||||
6.33199 | − | 13.7067i | 0.368040 | − | 0.796685i | |||||
25.8225 | − | 4.90159i | 1.49837 | − | 0.284419i | |||||
−15.6425 | + | 3.24936i | −0.906147 | + | 0.188230i | |||||
−0.692674 | − | 1.19975i | −0.0400584 | − | 0.0693831i | |||||
11.7863 | − | 1.45814i | 0.680482 | − | 0.0841857i | |||||
0 | 0 | |||||||||
10.4496 | + | 11.7139i | 0.601304 | + | 0.674061i | |||||
4.86207 | + | 5.10878i | 0.279319 | + | 0.293492i | |||||
−4.47664 | − | 4.18335i | −0.256753 | − | 0.239931i | |||||
0.328846 | + | 0.189859i | 0.0188297 | + | 0.0108713i | |||||
3.84216 | + | 24.5349i | 0.219642 | + | 1.40257i | |||||
− | 16.6218i | − | 0.948657i | −0.880348 | − | 0.474328i | ||||
0.880348 | − | 0.474328i | ||||||||
0 | 0 | |||||||||
22.0145 | − | 5.31881i | 1.25236 | − | 0.302576i | |||||
−8.24797 | − | 2.72218i | −0.468453 | − | 0.154609i | |||||
5.37805 | − | 9.31506i | 0.304961 | − | 0.528209i | −0.672291 | − | 0.740287i | ||
0.977253 | + | 0.212078i | ||||||||
6.97049 | + | 20.4904i | 0.394626 | + | 1.16004i | |||||
−2.47200 | − | 4.28163i | −0.139726 | − | 0.242012i | 0.787667 | − | 0.616101i | ||
−0.927393 | + | 0.374089i | ||||||||
−15.6144 | + | 13.9290i | −0.881170 | + | 0.786058i | |||||
0 | 0 | |||||||||
−13.7665 | − | 1.57583i | −0.774427 | − | 0.0886476i | |||||
−18.9960 | + | 10.9673i | −1.06692 | + | 0.615987i | −0.927338 | − | 0.374224i | ||
−0.139582 | + | 0.990211i | ||||||||
13.3977 | + | 28.3205i | 0.751303 | + | 1.58813i | |||||
−24.2624 | − | 14.0079i | −1.35844 | − | 0.784293i | |||||
1.81211 | + | 9.86417i | 0.101300 | + | 0.551424i | |||||
1.58955 | + | 6.57914i | 0.0887202 | + | 0.367212i | |||||
0 | 0 | |||||||||
8.96603 | 0.498883 | |||||||||
−3.80371 | + | 17.5935i | −0.211317 | + | 0.977418i | |||||
−7.57319 | + | 13.1171i | −0.420085 | + | 0.727609i | |||||
−18.3688 | + | 3.81568i | −1.01736 | + | 0.211331i | |||||
−10.3484 | + | 9.84870i | −0.572269 | + | 0.544634i | |||||
4.57454 | − | 3.22756i | 0.252587 | − | 0.178212i | |||||
0 | 0 | |||||||||
−8.83871 | + | 12.7731i | −0.486555 | + | 0.703135i | |||||
−3.24073 | + | 1.87104i | −0.178127 | + | 0.102841i | −0.586412 | − | 0.810013i | ||
0.408286 | + | 0.912854i | ||||||||
10.9015 | + | 8.07558i | 0.598298 | + | 0.443205i | |||||
−0.791990 | + | 15.9949i | −0.0434008 | + | 0.876514i | |||||
−6.42774 | − | 2.12142i | −0.351710 | − | 0.116079i | |||||
13.2183 | 0.722194 | |||||||||
0 | 0 | |||||||||
22.9774 | 1.25166 | 0.625829 | − | 0.779960i | ||||||
0.625829 | + | 0.779960i | ||||||||
−8.75415 | − | 2.88924i | −0.476163 | − | 0.157154i | |||||
3.29204 | − | 11.1729i | 0.178799 | − | 0.606828i | |||||
−11.7931 | − | 8.73601i | −0.639569 | − | 0.473777i | |||||
−21.4604 | + | 12.3902i | −1.16215 | + | 0.670966i | |||||
6.06301 | + | 2.33949i | 0.327850 | + | 0.126505i | |||||
0 | 0 | |||||||||
−7.36347 | + | 5.19527i | −0.397011 | + | 0.280110i | |||||
0.469402 | + | 0.493220i | 0.0252718 | + | 0.0265541i | |||||
19.9556 | − | 4.14528i | 1.07282 | − | 0.222852i | |||||
1.06505 | − | 1.84472i | 0.0571750 | − | 0.0990299i | −0.836021 | − | 0.548697i | ||
0.893196 | + | 0.449667i | ||||||||
15.3123 | − | 11.5607i | 0.820826 | − | 0.619717i | |||||
−3.55710 | −0.190407 | −0.0952036 | − | 0.995458i | ||||||
−0.0952036 | + | 0.995458i | ||||||||
0 | 0 | |||||||||
−14.9845 | − | 17.3916i | −0.799811 | − | 0.928293i | |||||
24.4428 | + | 14.8763i | 1.30281 | + | 0.792909i | |||||
−16.3912 | − | 9.46348i | −0.872417 | − | 0.503690i | −0.00426642 | − | 0.999991i | ||
−0.868151 | + | 0.496301i | ||||||||
17.6407 | − | 8.34535i | 0.937594 | − | 0.443550i | |||||
4.92353 | − | 2.84260i | 0.261314 | − | 0.150869i | |||||
−9.53285 | − | 1.09121i | −0.505240 | − | 0.0578342i | |||||
0 | 0 | |||||||||
0.732717 | − | 0.653628i | 0.0387253 | − | 0.0345453i | |||||
0.613000 | + | 1.06175i | 0.0323529 | + | 0.0560369i | 0.881748 | − | 0.471720i | ||
−0.849396 | + | 0.527757i | ||||||||
−5.69523 | − | 8.98461i | −0.300165 | − | 0.473530i | |||||
−8.32685 | + | 14.4225i | −0.438255 | + | 0.759081i | |||||
−8.47465 | − | 2.79699i | −0.445418 | − | 0.147007i | |||||
5.93317 | + | 24.5573i | 0.311411 | + | 1.28893i | |||||
0 | 0 | |||||||||
1.77294i | 0.0927997i | |||||||||
−0.0605653 | + | 0.739448i | −0.00316580 | + | 0.0386516i | |||||
17.4966 | + | 10.1017i | 0.913314 | + | 0.527302i | 0.881496 | − | 0.472192i | ||
0.0318180 | + | 0.999494i | ||||||||
0.856383 | − | 0.916423i | 0.0446420 | − | 0.0477718i | |||||
−3.21976 | + | 4.98945i | −0.167614 | + | 0.259740i | |||||
−6.30019 | − | 7.06250i | −0.327531 | − | 0.367162i | |||||
0 | 0 | |||||||||
−2.08363 | − | 16.8422i | −0.108031 | − | 0.873226i | |||||
4.09019 | + | 7.08442i | 0.211782 | + | 0.366817i | 0.952272 | − | 0.305250i | ||
−0.740490 | + | 0.672067i | ||||||||
−40.9971 | + | 8.51615i | −2.11991 | + | 0.440360i | |||||
5.17252 | − | 17.5551i | 0.267108 | − | 0.906541i | |||||
13.6366 | − | 29.5187i | 0.703253 | − | 1.52231i | |||||
24.4695i | 1.26024i | |||||||||
0 | 0 | |||||||||
31.2020i | 1.60274i | 0.598170 | + | 0.801369i | ||||||
−0.598170 | + | 0.801369i | ||||||||
−3.52287 | + | 1.52958i | −0.180719 | + | 0.0784659i | |||||
−4.16301 | + | 14.1289i | −0.213277 | + | 0.723845i | |||||
1.12398 | + | 5.41090i | 0.0575080 | + | 0.276846i | |||||
−12.2089 | − | 21.1465i | −0.623848 | − | 1.08054i | −0.988763 | − | 0.149495i | ||
0.364915 | − | 0.931041i | ||||||||
−15.9081 | + | 11.4426i | −0.811807 | + | 0.583926i | |||||
0 | 0 | |||||||||
1.65861 | − | 1.47958i | 0.0844212 | − | 0.0753089i | |||||
5.18273 | − | 8.03133i | 0.263453 | − | 0.408255i | |||||
−21.9920 | − | 16.2911i | −1.11647 | − | 0.827057i | |||||
7.86740 | + | 4.54225i | 0.398893 | + | 0.230301i | 0.686006 | − | 0.727596i | ||
−0.287113 | + | 0.957897i | ||||||||
13.5215 | + | 1.10750i | 0.684688 | + | 0.0560802i | |||||
1.83546i | 0.0928230i | |||||||||
0 | 0 | |||||||||
−3.42111 | − | 14.1599i | −0.172572 | − | 0.714275i | |||||
0.812379 | − | 2.46144i | 0.0409271 | − | 0.124006i | |||||
−4.34279 | + | 7.52193i | −0.218509 | + | 0.378469i | |||||
−29.9451 | − | 4.93851i | −1.50480 | − | 0.248170i | |||||
−11.6405 | − | 20.1619i | −0.584220 | − | 1.01190i | −0.994972 | − | 0.100151i | ||
0.410753 | − | 0.911747i | ||||||||
−3.45588 | − | 3.87403i | −0.173227 | − | 0.194188i | |||||
0 | 0 | |||||||||
−13.3587 | − | 3.09890i | −0.667934 | − | 0.154945i | |||||
6.57424 | − | 3.79564i | 0.328302 | − | 0.189545i | −0.326785 | − | 0.945099i | ||
0.655087 | + | 0.755553i | ||||||||
11.0445 | + | 23.3463i | 0.550851 | + | 1.16441i | |||||
18.7439 | + | 10.8218i | 0.933700 | + | 0.539072i | |||||
−3.24335 | − | 7.46993i | −0.161362 | − | 0.371643i | |||||
9.16617 | + | 6.57914i | 0.455470 | + | 0.326920i | |||||
0 | 0 | |||||||||
−27.0019 | −1.33843 | |||||||||
5.57599 | − | 28.1284i | 0.276053 | − | 1.39256i | |||||
3.19509 | − | 5.53406i | 0.157987 | − | 0.273642i | −0.776156 | − | 0.630541i | ||
0.934143 | + | 0.356900i | ||||||||
−0.713738 | − | 3.43596i | −0.0352490 | − | 0.169690i | |||||
16.4265 | + | 17.2600i | 0.810261 | + | 0.851374i | |||||
−25.9819 | − | 2.97411i | −1.28003 | − | 0.146524i | |||||
0 | 0 | |||||||||
−0.478923 | + | 1.24117i | −0.0235378 | + | 0.0610003i | |||||
7.36471 | − | 4.25202i | 0.361520 | − | 0.208723i | |||||
0.578064 | − | 24.9852i | 0.0283419 | − | 1.22500i | |||||
6.44479 | − | 21.8731i | 0.315603 | − | 1.07113i | |||||
−3.43421 | + | 10.4054i | −0.167972 | + | 0.508942i | |||||
29.1307 | 1.42313 | 0.711565 | − | 0.702620i | ||||||
0.711565 | + | 0.702620i | ||||||||
0 | 0 | |||||||||
−32.0821 | −1.56358 | −0.781792 | − | 0.623539i | ||||||
−0.781792 | + | 0.623539i | ||||||||
6.59368 | − | 19.9783i | 0.320975 | − | 0.972528i | |||||
−1.70563 | + | 34.4466i | −0.0829306 | + | 1.67485i | |||||
−3.28176 | − | 36.0272i | −0.159376 | − | 1.74963i | |||||
17.3790 | − | 10.0338i | 0.843006 | − | 0.486710i | |||||
9.13447 | + | 6.32086i | 0.442567 | + | 0.306247i | |||||
0 | 0 | |||||||||
0.888828 | − | 7.76481i | 0.0429631 | − | 0.375326i | |||||
28.0384 | − | 26.6844i | 1.35371 | − | 1.28834i | |||||
1.14888 | + | 5.53074i | 0.0554038 | + | 0.266716i | |||||
−9.12282 | + | 15.8012i | −0.439431 | + | 0.761116i | −0.997646 | − | 0.0685802i | ||
0.558215 | + | 0.829696i | ||||||||
11.1101 | − | 17.5660i | 0.534534 | − | 0.845147i | |||||
4.84842 | 0.233000 | 0.116500 | − | 0.993191i | ||||||
0.116500 | + | 0.993191i | ||||||||
0 | 0 | |||||||||
−2.82440 | − | 11.6902i | −0.135420 | − | 0.560501i | |||||
15.1312 | − | 6.56978i | 0.724654 | − | 0.314635i | |||||
0.415965 | + | 0.240157i | 0.0198983 | + | 0.0114883i | |||||
−3.13138 | + | 1.48137i | −0.149623 | + | 0.0707827i | |||||
17.5388 | − | 10.1260i | 0.837081 | − | 0.483289i | −0.0191902 | − | 0.999816i | ||
0.856271 | + | 0.516527i | ||||||||
14.6554 | − | 10.3401i | 0.698670 | − | 0.492945i | |||||
0 | 0 | |||||||||
24.3454 | + | 27.2912i | 1.15799 | + | 1.29811i | |||||
11.2335 | + | 19.4570i | 0.533719 | + | 0.924428i | 0.999224 | + | 0.0393830i | ||
−0.465505 | + | 0.885045i | ||||||||
7.20977 | − | 17.0285i | 0.342161 | − | 0.808138i | |||||
−3.00724 | + | 5.20869i | −0.142557 | + | 0.246915i | |||||
−8.60631 | + | 26.0764i | −0.407521 | + | 1.23475i | |||||
−19.0198 | + | 4.59528i | −0.899607 | + | 0.217349i | |||||
0 | 0 | |||||||||
− | 29.5660i | − | 1.39531i | −0.716435 | − | 0.697654i | ||||
0.716435 | − | 0.697654i | ||||||||
14.3701 | − | 2.25036i | 0.677414 | − | 0.106083i | |||||
−8.67086 | − | 5.00612i | −0.408295 | − | 0.235729i | |||||
−8.00588 | + | 10.8074i | −0.376565 | + | 0.508339i | |||||
13.2540 | + | 13.9265i | 0.622726 | + | 0.654323i | |||||
11.2738 | − | 10.0569i | 0.529107 | − | 0.471996i | |||||
0 | 0 | |||||||||
−5.64509 | − | 4.94409i | −0.264355 | − | 0.231528i | |||||
−9.09743 | − | 15.7572i | −0.425560 | − | 0.737091i | 0.570913 | − | 0.821011i | ||
−0.996473 | + | 0.0839196i | ||||||||
2.15765 | + | 10.3870i | 0.100820 | + | 0.485353i | |||||
5.67210 | + | 29.8817i | 0.264751 | + | 1.39476i | |||||
−0.313124 | − | 0.721174i | −0.0145995 | − | 0.0336249i | |||||
− | 24.9782i | − | 1.16335i | −0.813422 | − | 0.581675i | ||||
0.813422 | − | 0.581675i | ||||||||
0 | 0 | |||||||||
6.37226i | 0.296144i | 0.988977 | + | 0.148072i | ||||||
−0.988977 | + | 0.148072i | ||||||||
−21.1932 | + | 6.45504i | −0.983872 | + | 0.299668i | |||||
−10.2039 | − | 3.00653i | −0.473195 | − | 0.139424i | |||||
3.87602 | − | 0.805149i | 0.179553 | − | 0.0372978i | |||||
13.6785 | + | 23.6918i | 0.632964 | + | 1.09633i | 0.986943 | + | 0.161072i | ||
−0.353979 | + | 0.935253i | ||||||||
9.34180 | + | 24.8072i | 0.431825 | + | 1.14671i | |||||
0 | 0 | |||||||||
−13.5681 | − | 15.2098i | −0.625849 | − | 0.701576i | |||||
−18.5636 | + | 17.6672i | −0.855367 | + | 0.814061i | |||||
−22.4412 | + | 2.04420i | −1.03294 | + | 0.0940918i | |||||
13.9571 | + | 8.05816i | 0.641750 | + | 0.370515i | |||||
−16.9139 | − | 1.38535i | −0.776882 | − | 0.0636314i | |||||
− | 5.25141i | − | 0.240951i | |||||||
0 | 0 | |||||||||
17.5185 | + | 34.1382i | 0.802119 | + | 1.56308i | |||||
−27.5934 | − | 9.10698i | −1.26209 | − | 0.416543i | |||||
9.91668 | − | 17.1762i | 0.453105 | − | 0.784800i | −0.545472 | − | 0.838129i | ||
0.998577 | + | 0.0533285i | ||||||||
2.60776 | + | 12.0032i | 0.119027 | + | 0.547871i | |||||
11.7919 | + | 20.4242i | 0.537666 | + | 0.931265i | |||||
19.0536 | − | 16.9970i | 0.867866 | − | 0.774190i | |||||
0 | 0 | |||||||||
3.31764 | − | 28.9830i | 0.150802 | − | 1.31741i | |||||
−14.8571 | + | 8.57774i | −0.674625 | + | 0.389495i | |||||
−3.96138 | + | 21.6866i | −0.179692 | + | 0.983723i | |||||
−35.3792 | − | 20.4262i | −1.60318 | − | 0.925599i | −0.990845 | − | 0.135003i | ||
−0.612339 | − | 0.790595i | ||||||||
0.359280 | − | 0.777723i | 0.0162638 | − | 0.0352059i | |||||
−22.3348 | + | 5.39619i | −1.01001 | + | 0.244024i | |||||
0 | 0 | |||||||||
−20.3003 | −0.916137 | −0.458069 | − | 0.888917i | ||||||
−0.458069 | + | 0.888917i | ||||||||
5.47228 | − | 4.13152i | 0.246709 | − | 0.186263i | |||||
16.2099 | − | 28.0764i | 0.730058 | − | 1.26450i | |||||
9.37036 | − | 1.94647i | 0.421593 | − | 0.0875757i | |||||
−10.3151 | + | 15.9847i | −0.463631 | + | 0.718458i | |||||
−4.42821 | + | 19.0890i | −0.198833 | + | 0.857123i | |||||
0 | 0 | |||||||||
13.6635 | + | 9.45488i | 0.612278 | + | 0.423683i | |||||
29.6416 | − | 17.1136i | 1.32694 | − | 0.766110i | 0.342116 | − | 0.939658i | ||
0.984825 | + | 0.173548i | ||||||||
−12.5790 | + | 16.9809i | −0.562551 | + | 0.759408i | |||||
−7.95202 | − | 2.34302i | −0.355270 | − | 0.104679i | |||||
14.0756 | + | 4.64553i | 0.628223 | + | 0.207340i | |||||
−31.1279 | −1.38792 | −0.693962 | − | 0.720011i | ||||||
−0.693962 | + | 0.720011i | ||||||||
0 | 0 | |||||||||
−5.10467 | −0.227155 | |||||||||
−2.13010 | − | 0.703024i | −0.0946946 | − | 0.0312532i | |||||
−10.8301 | − | 3.19104i | −0.480982 | − | 0.141719i | |||||
10.1240 | − | 13.6667i | 0.449179 | − | 0.606363i | |||||
34.2107 | − | 19.7516i | 1.51636 | − | 0.875474i | 0.516549 | − | 0.856257i | ||
0.999815 | − | 0.0192162i | ||||||||
−14.7810 | − | 10.2281i | −0.654512 | − | 0.452909i | |||||
0 | 0 | |||||||||
21.7924 | − | 6.09041i | 0.963095 | − | 0.269161i | |||||
7.51416 | + | 2.62436i | 0.331758 | + | 0.115868i | |||||
11.5767 | − | 2.40478i | 0.510627 | − | 0.106070i | |||||
−8.19625 | + | 14.1963i | −0.361170 | + | 0.625564i | |||||
−8.80852 | + | 6.65036i | −0.387773 | + | 0.292766i | |||||
−58.1512 | −2.55749 | |||||||||
0 | 0 | |||||||||
24.2641 | − | 5.86232i | 1.06507 | − | 0.257327i | |||||
−14.2214 | − | 6.56978i | −0.623650 | − | 0.288104i | |||||
−20.8808 | − | 12.0555i | −0.914803 | − | 0.528162i | −0.0328296 | − | 0.999461i | ||
−0.881973 | + | 0.471299i | ||||||||
18.2874 | − | 14.7562i | 0.800417 | − | 0.645861i | |||||
8.02520 | − | 4.63335i | 0.350917 | − | 0.202602i | −0.314172 | − | 0.949366i | ||
0.665089 | + | 0.746764i | ||||||||
−1.91298 | + | 16.7118i | −0.0835689 | + | 0.730059i | |||||
0 | 0 | |||||||||
−30.9952 | + | 27.6496i | −1.35145 | + | 1.20558i | |||||
−14.3379 | − | 24.8339i | −0.624568 | − | 1.08178i | |||||
30.5081 | + | 17.2450i | 1.32770 | + | 0.750490i | |||||
11.4508 | − | 19.8334i | 0.497862 | − | 0.862323i | |||||
−21.5338 | − | 7.10707i | −0.935369 | − | 0.308711i | |||||
21.2646 | − | 10.9122i | 0.922805 | − | 0.473551i | |||||
0 | 0 | |||||||||
8.74486i | 0.378782i | |||||||||
−11.7123 | − | 0.959312i | −0.506842 | − | 0.0415135i | |||||
−4.24264 | − | 2.44949i | −0.183425 | − | 0.105901i | |||||
−2.70536 | − | 29.6995i | −0.116854 | − | 1.28282i | |||||
0.871113 | − | 0.829047i | 0.0375913 | − | 0.0357760i | |||||
−19.2028 | − | 21.5263i | −0.827892 | − | 0.928066i | |||||
0 | 0 | |||||||||
−7.32637 | − | 10.7732i | −0.315277 | − | 0.463606i | |||||
−12.9508 | − | 22.4315i | −0.556800 | − | 0.964406i | −0.997761 | − | 0.0668796i | ||
0.440961 | − | 0.897526i | ||||||||
28.5189 | − | 5.92412i | 1.22499 | − | 0.254463i | |||||
−10.4843 | − | 3.08916i | −0.449926 | − | 0.132568i | |||||
−17.2148 | + | 28.2851i | −0.738078 | + | 1.21272i | |||||
− | 10.3401i | − | 0.442921i | |||||||
0 | 0 | |||||||||
− | 32.9387i | − | 1.40836i | −0.710022 | − | 0.704179i | ||||
0.710022 | − | 0.704179i | ||||||||
−10.9577 | − | 25.2372i | −0.468088 | − | 1.07808i | |||||
−0.0449378 | + | 0.907556i | −0.00191790 | + | 0.0387335i | |||||
4.98792 | + | 24.0120i | 0.212686 | + | 1.02388i | |||||
−4.24192 | − | 7.34722i | −0.180712 | − | 0.313002i | |||||
1.01212 | − | 1.15562i | 0.0430785 | − | 0.0491864i | |||||
0 | 0 | |||||||||
−4.16528 | + | 3.71569i | −0.176966 | + | 0.157864i | |||||
−7.99101 | − | 8.39647i | −0.339199 | − | 0.356410i | |||||
−15.6730 | + | 21.1576i | −0.664685 | + | 0.897282i | |||||
25.8991 | + | 14.9528i | 1.09738 | + | 0.633572i | 0.935531 | − | 0.353244i | ||
0.161847 | + | 0.986816i | ||||||||
−3.21568 | − | 20.5343i | −0.136130 | − | 0.869288i | |||||
− | 14.0763i | − | 0.595363i | |||||||
0 | 0 | |||||||||
−49.8486 | + | 12.0437i | −2.10461 | + | 0.508484i | |||||
0.525779 | − | 1.59307i | 0.0221787 | − | 0.0671994i | |||||
15.5531 | − | 26.9388i | 0.655487 | − | 1.13534i | −0.326284 | − | 0.945272i | ||
0.981771 | − | 0.190065i | ||||||||
15.5270 | − | 36.6726i | 0.653803 | − | 1.54420i | |||||
4.21532 | + | 7.30115i | 0.177340 | + | 0.307162i | |||||
26.0616 | + | 29.2151i | 1.09545 | + | 1.22800i | |||||
0 | 0 | |||||||||
−7.39456 | − | 10.4806i | −0.310269 | − | 0.439756i | |||||
15.3022 | − | 8.83472i | 0.641501 | − | 0.370371i | −0.143691 | − | 0.989623i | ||
0.785193 | + | 0.619252i | ||||||||
−4.25197 | + | 2.01149i | −0.178095 | + | 0.0842521i | |||||
−6.51130 | − | 3.75930i | −0.272490 | − | 0.157322i | 0.357529 | − | 0.933902i | ||
−0.630018 | + | 0.776580i | ||||||||
−40.9971 | + | 17.8004i | −1.71417 | + | 0.744272i | |||||
1.58955 | + | 6.57914i | 0.0664045 | + | 0.274847i | |||||
0 | 0 | |||||||||
1.07503 | 0.0448318 | |||||||||
−19.0214 | + | 14.6351i | −0.792557 | + | 0.609797i | |||||
2.13156 | − | 3.69196i | 0.0887378 | − | 0.153698i | −0.818240 | − | 0.574877i | ||
0.906978 | + | 0.421178i | ||||||||
−4.96517 | − | 23.9025i | −0.206524 | − | 0.994214i | |||||
1.97189 | − | 1.87667i | 0.0819491 | − | 0.0779917i | |||||
−1.57932 | + | 13.7969i | −0.0655776 | + | 0.572887i | |||||
0 | 0 | |||||||||
−27.5639 | − | 19.0736i | −1.14256 | − | 0.790628i | |||||
−56.0289 | + | 32.3483i | −2.32048 | + | 1.33973i | |||||
3.98351 | − | 0.362862i | 0.164839 | − | 0.0150154i | |||||
16.5955 | + | 0.821731i | 0.686141 | + | 0.0339744i | |||||
0.0876693 | − | 0.265631i | 0.00362159 | − | 0.0109731i | |||||
−43.2909 | −1.78681 | −0.893404 | − | 0.449253i | ||||||
−0.893404 | + | 0.449253i | ||||||||
0 | 0 | |||||||||
−7.50407 | −0.309200 | |||||||||
−4.42697 | + | 13.4133i | −0.182255 | + | 0.552218i | |||||
0.897238 | − | 3.04515i | 0.0369074 | − | 0.125261i | |||||
−14.5789 | + | 15.6010i | −0.599189 | + | 0.641197i | |||||
−4.99583 | + | 2.88434i | −0.205154 | + | 0.118446i | −0.599057 | − | 0.800706i | ||
0.393903 | + | 0.919152i | ||||||||
−36.8511 | − | 4.86274i | −1.51202 | − | 0.199521i | |||||
0 | 0 | |||||||||
22.4475 | + | 2.56954i | 0.919486 | + | 0.105252i | |||||
−4.38335 | − | 4.60576i | −0.179399 | − | 0.188501i | |||||
0.398466 | + | 1.91823i | 0.0162945 | + | 0.0784422i | |||||
−17.8985 | + | 31.0011i | −0.731312 | + | 1.26667i | 0.225010 | + | 0.974356i | ||
−0.956323 | + | 0.292313i | ||||||||
−16.4748 | − | 3.26586i | −0.672582 | − | 0.133328i | |||||
42.3193 | 1.72624 | 0.863121 | − | 0.504998i | ||||||
0.863121 | + | 0.504998i | ||||||||
0 | 0 | |||||||||
14.4416 | + | 28.1423i | 0.588109 | + | 1.14604i | |||||
−8.84133 | − | 20.3630i | −0.359749 | − | 0.828557i | |||||
−15.8361 | − | 9.14298i | −0.643829 | − | 0.371715i | |||||
−4.26519 | − | 9.01592i | −0.173262 | − | 0.366247i | |||||
−41.0224 | + | 23.6843i | −1.66505 | + | 0.961316i | −0.694801 | + | 0.719202i | ||
−0.970248 | + | 0.242115i | ||||||||
4.15775 | + | 7.60227i | 0.168619 | + | 0.308313i | |||||
0 | 0 | |||||||||
−0.357475 | − | 0.400729i | −0.0144737 | − | 0.0162250i | |||||
25.3951 | + | 43.9857i | 1.02738 | + | 1.77947i | |||||
5.71483 | − | 34.6524i | 0.231008 | − | 1.40074i | |||||
−1.39456 | + | 2.41545i | −0.0563257 | + | 0.0975590i | −0.892813 | − | 0.450427i | ||
0.836488 | + | 0.547986i | ||||||||
−7.36735 | + | 22.3224i | −0.297322 | + | 0.900860i | |||||
−1.00938 | − | 4.17781i | −0.0407021 | − | 0.168465i | |||||
0 | 0 | |||||||||
21.6549i | 0.871795i | 0.899996 | + | 0.435898i | ||||||
−0.899996 | + | 0.435898i | ||||||||
−31.9221 | − | 2.61461i | −1.28409 | − | 0.105175i | |||||
4.88830 | + | 2.82226i | 0.196477 | + | 0.113436i | 0.595011 | − | 0.803717i | ||
−0.398534 | + | 0.917154i | ||||||||
9.87013 | + | 7.31156i | 0.396394 | + | 0.293639i | |||||
−0.537240 | + | 1.53824i | −0.0215587 | + | 0.0617275i | |||||
−11.3513 | + | 10.1260i | −0.455144 | + | 0.406017i | |||||
0 | 0 | |||||||||
−0.279048 | − | 30.6074i | −0.0111709 | − | 1.22528i | |||||
−1.94767 | − | 3.37346i | −0.0779067 | − | 0.134938i | |||||
1.42203 | + | 6.84573i | 0.0568359 | + | 0.273610i | |||||
−3.79293 | + | 12.8729i | −0.151475 | + | 0.514094i | |||||
27.1433 | − | 11.7853i | 1.08314 | − | 0.470283i | |||||
− | 31.2464i | − | 1.24588i | |||||||
0 | 0 | |||||||||
6.37226i | 0.253676i | 0.991923 | + | 0.126838i | ||||||
−0.991923 | + | 0.126838i | ||||||||
17.7894 | + | 8.21807i | 0.707625 | + | 0.326897i | |||||
7.28244 | − | 24.7160i | 0.289451 | − | 0.982372i | |||||
30.3719 | − | 6.30904i | 1.20622 | − | 0.250564i | |||||
−5.33056 | − | 9.23281i | −0.211537 | − | 0.366393i | |||||
−5.43993 | − | 43.9716i | −0.215707 | − | 1.74359i | |||||
0 | 0 | |||||||||
26.3747 | + | 29.5660i | 1.04419 | + | 1.17053i | |||||
11.4312 | + | 7.37670i | 0.452211 | + | 0.291818i | |||||
1.93854 | − | 14.0504i | 0.0766274 | − | 0.555390i | |||||
14.2860 | + | 8.24802i | 0.564263 | + | 0.325777i | 0.754855 | − | 0.655892i | ||
−0.190592 | + | 0.981669i | ||||||||
0.781390 | − | 9.54007i | 0.0308390 | − | 0.376516i | |||||
2.36672i | 0.0933343i | 0.998910 | + | 0.0466671i | ||||||
−0.998910 | + | 0.0466671i | ||||||||
0 | 0 | |||||||||
1.62476 | + | 6.72485i | 0.0639748 | + | 0.264791i | |||||
−12.0410 | − | 3.97405i | −0.473748 | − | 0.156357i | |||||
5.67476 | − | 9.82897i | 0.223098 | − | 0.386417i | −0.732649 | − | 0.680606i | ||
0.955747 | + | 0.294190i | ||||||||
12.9063 | − | 21.9415i | 0.507006 | − | 0.861942i | |||||
20.1497 | + | 34.9002i | 0.790944 | + | 1.36995i | |||||
15.9845 | − | 14.2591i | 0.626962 | − | 0.559289i | |||||
0 | 0 | |||||||||
26.3599 | + | 3.01738i | 1.03233 | + | 0.118170i | |||||
38.5978 | − | 22.2844i | 1.51045 | − | 0.872057i | 0.510522 | − | 0.859865i | ||
0.999926 | − | 0.0121923i | ||||||||
18.2628 | − | 8.63965i | 0.714132 | − | 0.337837i | |||||
9.13122 | + | 5.27191i | 0.356786 | + | 0.205991i | |||||
−7.57399 | + | 2.30689i | −0.295715 | + | 0.0900689i | |||||
−3.77465 | + | 1.93702i | −0.147263 | + | 0.0755702i | |||||
0 | 0 | |||||||||
0.590533 | 0.0230039 | 0.0115019 | − | 0.999934i | ||||||
0.0115019 | + | 0.999934i | ||||||||
17.5315 | − | 13.2361i | 0.682413 | − | 0.515216i | |||||
−21.5502 | + | 37.3261i | −0.838206 | + | 1.45182i | 0.0531863 | + | 0.998585i | ||
−0.891393 | + | 0.453232i | ||||||||
5.18148 | − | 1.07633i | 0.201384 | − | 0.0418326i | |||||
30.8791 | + | 32.4459i | 1.19925 | + | 1.26010i | |||||
−11.0609 | − | 15.6771i | −0.429248 | − | 0.608390i | |||||
0 | 0 | |||||||||
8.15308 | − | 21.1295i | 0.315926 | − | 0.818750i | |||||
1.50407 | − | 0.868374i | 0.0582377 | − | 0.0336236i | |||||
7.69191 | + | 5.69798i | 0.297609 | + | 0.220461i | |||||
−9.50530 | + | 32.2602i | −0.367496 | + | 1.24725i | |||||
−17.7517 | − | 5.85880i | −0.685807 | − | 0.226345i | |||||
−1.53210 | −0.0591459 | |||||||||
0 | 0 | |||||||||
15.2706 | 0.588637 | 0.294319 | − | 0.955707i | ||||||
0.294319 | + | 0.955707i | ||||||||
−30.8577 | − | 10.1844i | −1.18860 | − | 0.392287i | |||||
17.5017 | − | 3.32216i | 0.673641 | − | 0.127870i | |||||
10.4759 | + | 7.76027i | 0.402918 | + | 0.298472i | |||||
35.8437 | − | 20.6944i | 1.37759 | − | 0.795349i | 0.385717 | − | 0.922617i | ||
0.991868 | + | 0.127268i | ||||||||
−9.37328 | + | 13.5456i | −0.359979 | + | 0.520216i | |||||
0 | 0 | |||||||||
11.9655 | + | 16.9592i | 0.458857 | + | 0.650356i | |||||
13.4032 | − | 12.7560i | 0.513613 | − | 0.488811i | |||||
34.3123 | − | 7.12755i | 1.31388 | − | 0.272928i | |||||
2.26745 | − | 3.92734i | 0.0867615 | − | 0.150275i | −0.819379 | − | 0.573252i | ||
0.906140 | + | 0.422977i | ||||||||
−7.10544 | − | 5.82918i | −0.271683 | − | 0.222884i | |||||
−17.2461 | −0.658941 | |||||||||
0 | 0 | |||||||||
3.05138 | + | 12.6296i | 0.116417 | + | 0.481850i | |||||
12.1916 | − | 3.71331i | 0.464799 | − | 0.141569i | |||||
48.9366 | + | 28.2536i | 1.86434 | + | 1.07638i | |||||
−0.411777 | − | 0.870430i | −0.0156761 | − | 0.0331367i | |||||
23.6340 | − | 13.6451i | 0.899079 | − | 0.519084i | 0.0221779 | − | 0.999754i | ||
0.876901 | + | 0.480670i | ||||||||
−28.6369 | − | 3.27802i | −1.08861 | − | 0.124612i | |||||
0 | 0 | |||||||||
−2.24797 | + | 2.00532i | −0.0853316 | + | 0.0761211i | |||||
8.25229 | + | 14.2934i | 0.313027 | + | 0.542179i | |||||
−25.6879 | + | 8.73859i | −0.973698 | + | 0.331235i | |||||
5.79306 | − | 10.0339i | 0.219428 | − | 0.380060i | |||||
4.77705 | + | 1.57663i | 0.180814 | + | 0.0596762i | |||||
4.71287 | − | 1.13865i | 0.178257 | − | 0.0430678i | |||||
0 | 0 | |||||||||
− | 9.20431i | − | 0.347642i | −0.984777 | − | 0.173821i | ||||
0.984777 | − | 0.173821i | ||||||||
12.4150 | + | 29.9978i | 0.468574 | + | 1.13219i | |||||
−7.08130 | − | 4.08839i | −0.267076 | − | 0.154197i | |||||
−26.2321 | − | 30.8122i | −0.988659 | − | 1.16128i | |||||
−17.2094 | − | 18.0827i | −0.648145 | − | 0.681032i | |||||
17.8182 | + | 19.9742i | 0.670598 | + | 0.751740i | |||||
0 | 0 | |||||||||
−27.3897 | + | 3.38852i | −1.02937 | + | 0.127348i | |||||
14.8003 | + | 25.6349i | 0.555837 | + | 0.962738i | 0.997838 | + | 0.0657232i | ||
−0.442001 | + | 0.897015i | ||||||||
−7.87204 | + | 1.63523i | −0.295432 | + | 0.0613689i | |||||
−20.7592 | − | 1.02790i | −0.778530 | − | 0.0385491i | |||||
12.3186 | + | 5.69074i | 0.461659 | + | 0.213270i | |||||
− | 1.53617i | − | 0.0575302i | |||||||
0 | 0 | |||||||||
28.0159i | 1.04773i | |||||||||
−1.27372 | + | 0.553033i | −0.0476012 | + | 0.0206678i | |||||
−34.1369 | − | 10.0583i | −1.27487 | − | 0.375633i | |||||
−0.352633 | − | 1.69759i | −0.0131601 | − | 0.0633534i | |||||
1.35786 | + | 2.35188i | 0.0506395 | + | 0.0877102i | 0.890234 | − | 0.455503i | ||
−0.839595 | + | 0.543214i | ||||||||
3.66618 | + | 14.5903i | 0.136631 | + | 0.543748i | |||||
0 | 0 | |||||||||
17.5752 | − | 15.6782i | 0.654081 | − | 0.583480i | |||||
22.6524 | − | 21.5585i | 0.842453 | − | 0.801770i | |||||
10.1414 | + | 7.51250i | 0.376902 | + | 0.279200i | |||||
−16.4444 | − | 9.49416i | −0.610729 | − | 0.352604i | |||||
2.91662 | − | 35.6093i | 0.108246 | − | 1.32159i | |||||
18.9752i | 0.703753i | 0.936046 | + | 0.351876i | ||||||
−0.936046 | + | 0.351876i | ||||||||
0 | 0 | |||||||||
−3.99276 | + | 26.7031i | −0.147880 | + | 0.989005i | |||||
0.785825 | − | 2.38098i | 0.0290847 | − | 0.0881241i | |||||
−9.32487 | + | 16.1512i | −0.344893 | + | 0.597372i | |||||
0.409085 | − | 0.966205i | 0.0151202 | − | 0.0357120i | |||||
−7.65295 | − | 13.2553i | −0.282668 | − | 0.489596i | 0.689373 | − | 0.724407i | ||
−0.972041 | + | 0.234811i | ||||||||
−19.0198 | − | 21.3212i | −0.702035 | − | 0.786980i | |||||
0 | 0 | |||||||||
−1.55628 | + | 0.851142i | −0.0573652 | + | 0.0313735i | |||||
−46.1882 | + | 26.6668i | −1.70136 | + | 0.982283i | |||||
6.53551 | − | 5.27353i | 0.240575 | − | 0.194121i | |||||
23.2697 | + | 13.4348i | 0.855989 | + | 0.494205i | 0.862667 | − | 0.505772i | ||
−0.00667810 | + | 0.999978i | ||||||||
5.33056 | + | 12.2771i | 0.195955 | + | 0.451316i | |||||
11.3935 | − | 2.75272i | 0.418550 | − | 0.101124i | |||||
0 | 0 | |||||||||
−23.4748 | −0.861208 | −0.430604 | − | 0.902541i | ||||||
−0.430604 | + | 0.902541i | ||||||||
−4.66679 | + | 23.5419i | −0.171093 | + | 0.863088i | |||||
7.08130 | − | 12.2652i | 0.259439 | − | 0.449361i | |||||
−2.35291 | − | 11.3270i | −0.0861462 | − | 0.414711i | |||||
17.0990 | + | 11.0342i | 0.625620 | + | 0.403721i | |||||
58.8321 | + | 6.73444i | 2.15112 | + | 0.246235i | |||||
0 | 0 | |||||||||
−14.7275 | + | 21.2832i | −0.537772 | + | 0.777151i | |||||
31.1457 | − | 17.9820i | 1.13652 | − | 0.656172i | 0.190955 | − | 0.981599i | ||
0.945567 | + | 0.325427i | ||||||||
−31.3971 | + | 33.5983i | −1.14493 | + | 1.22520i | |||||
17.4135 | + | 5.13079i | 0.634582 | + | 0.186977i | |||||
10.8457 | − | 32.8616i | 0.394978 | − | 1.19675i | |||||
−13.9153 | −0.506429 | |||||||||
0 | 0 | |||||||||
23.4202 | 0.851222 | 0.425611 | − | 0.904906i | ||||||
0.425611 | + | 0.904906i | ||||||||
13.8298 | − | 41.9030i | 0.502320 | − | 1.52199i | |||||
−2.63524 | − | 0.776460i | −0.0956531 | − | 0.0281837i | |||||
5.40903 | − | 0.492715i | 0.196206 | − | 0.0178727i | |||||
34.9126 | − | 20.1568i | 1.26558 | − | 0.730684i | 0.291433 | − | 0.956591i | ||
0.974149 | + | 0.225908i | ||||||||
11.8532 | − | 17.1294i | 0.429394 | − | 0.620531i | |||||
0 | 0 | |||||||||
0.888828 | − | 7.76481i | 0.0321567 | − | 0.280921i | |||||
−18.4974 | − | 11.9366i | −0.668775 | − | 0.431570i | |||||
7.02328 | + | 33.8103i | 0.253761 | + | 1.22162i | |||||
17.5991 | − | 30.4825i | 0.635465 | − | 1.10066i | |||||
26.4357 | − | 8.31590i | 0.953916 | − | 0.300074i | |||||
20.6279 | 0.743861 | 0.371930 | − | 0.928261i | ||||||
0.371930 | + | 0.928261i | ||||||||
0 | 0 | |||||||||
14.0762 | − | 3.40088i | 0.506942 | − | 0.122480i | |||||
−2.88325 | + | 1.25187i | −0.103771 | + | 0.0450558i | |||||
−20.1789 | − | 11.6503i | −0.725784 | − | 0.419032i | 0.0910936 | − | 0.995842i | ||
−0.816878 | + | 0.576811i | ||||||||
−10.5200 | + | 8.48860i | −0.378132 | + | 0.305117i | |||||
−14.5453 | + | 8.39771i | −0.522481 | + | 0.301655i | |||||
22.3136 | + | 31.6260i | 0.801012 | + | 1.13531i | |||||
0 | 0 | |||||||||
−8.55233 | − | 9.58716i | −0.306616 | − | 0.343716i | |||||
−1.51597 | − | 2.62573i | −0.0543152 | − | 0.0940767i | |||||
−17.6680 | − | 7.48052i | −0.632615 | − | 0.267845i | |||||
−11.4694 | + | 19.8655i | −0.410407 | + | 0.710845i | |||||
0.813537 | − | 2.46495i | 0.0290920 | − | 0.0881463i | |||||
21.8030 | − | 18.7853i | 0.779177 | − | 0.671333i | |||||
0 | 0 | |||||||||
− | 18.5487i | − | 0.662032i | |||||||
−1.68175 | + | 20.5326i | −0.0599859 | + | 0.732374i | |||||
2.76123 | + | 1.59420i | 0.0984271 | + | 0.0568269i | 0.548406 | − | 0.836212i | ||
−0.449978 | + | 0.893039i | ||||||||
−2.18199 | + | 2.94554i | −0.0777301 | + | 0.104931i | |||||
−36.8495 | + | 35.0701i | −1.31188 | + | 1.24853i | |||||
9.16617 | − | 8.17678i | 0.326118 | − | 0.290917i | |||||
0 | 0 | |||||||||
38.0262 | + | 19.9049i | 1.35120 | + | 0.707291i | |||||
0.669079 | + | 1.15888i | 0.0237597 | + | 0.0411530i | |||||
6.69628 | + | 32.2361i | 0.237642 | + | 1.14402i | |||||
−26.6404 | − | 7.84945i | −0.944836 | − | 0.278391i | |||||
2.92400 | + | 6.73444i | 0.103639 | + | 0.238696i | |||||
55.9985i | 1.98357i | 0.127925 | + | 0.991784i | ||||||
−0.127925 | + | 0.991784i | ||||||||
0 | 0 | |||||||||
− | 67.2924i | − | 2.38063i | |||||||
16.5666 | + | 10.0827i | 0.585719 | + | 0.356478i | |||||
−14.3750 | − | 0.711784i | −0.507917 | − | 0.0251496i | |||||
−10.5113 | + | 2.18347i | −0.371167 | + | 0.0771010i | |||||
−3.57674 | − | 6.19509i | −0.126220 | − | 0.218620i | |||||
−4.48448 | − | 36.2485i | −0.158155 | − | 1.27839i | |||||
0 | 0 | |||||||||
−20.3757 | − | 22.8412i | −0.717705 | − | 0.804546i | |||||
−24.3564 | − | 25.5922i | −0.857385 | − | 0.900890i | |||||
1.04476 | + | 11.4694i | 0.0367545 | + | 0.403491i | |||||
18.4879 | + | 10.6740i | 0.649999 | + | 0.375277i | 0.788456 | − | 0.615091i | ||
−0.138457 | + | 0.990368i | ||||||||
−9.39371 | − | 12.8983i | −0.330061 | − | 0.453199i | |||||
52.7856i | 1.85355i | 0.375614 | + | 0.926776i | ||||||
−0.375614 | + | 0.926776i | ||||||||
0 | 0 | |||||||||
34.6763 | − | 8.37797i | 1.21615 | − | 0.293828i | |||||
36.2624 | + | 11.9681i | 1.27100 | + | 0.419483i | |||||
8.31549 | − | 14.4029i | 0.291279 | − | 0.504510i | |||||
−19.9558 | + | 35.3039i | −0.698593 | + | 1.23588i | |||||
2.44020 | + | 4.22654i | 0.0853717 | + | 0.147868i | |||||
−6.74377 | + | 6.01585i | −0.235790 | + | 0.210339i | |||||
0 | 0 | |||||||||
−0.564413 | + | 4.93072i | −0.0197101 | + | 0.172188i | |||||
−5.03883 | + | 2.90917i | −0.175857 | + | 0.101531i | −0.585344 | − | 0.810785i | ||
0.409488 | + | 0.912316i | ||||||||
−14.4100 | − | 30.4603i | −0.502605 | − | 1.06243i | |||||
8.78912 | + | 5.07440i | 0.306369 | + | 0.176882i | 0.645301 | − | 0.763929i | ||
−0.338931 | + | 0.940811i | ||||||||
33.5744 | + | 15.5102i | 1.16962 | + | 0.540322i | |||||
7.05398 | + | 29.1964i | 0.245588 | + | 1.01649i | |||||
0 | 0 | |||||||||
−53.0241 | −1.84383 | −0.921915 | − | 0.387393i | ||||||
−0.921915 | + | 0.387393i | ||||||||
1.19330 | − | 1.45457i | 0.0414702 | − | 0.0505498i | |||||
16.3511 | − | 28.3210i | 0.567898 | − | 0.983628i | −0.428876 | − | 0.903364i | ||
0.996774 | − | 0.0802647i | ||||||||
−11.7752 | + | 2.44600i | −0.408722 | + | 0.0849021i | |||||
−4.95202 | + | 4.71289i | −0.171784 | + | 0.163488i | |||||
−11.8506 | + | 33.2979i | −0.410845 | + | 1.15440i | |||||
0 | 0 | |||||||||
−18.3500 | + | 26.5181i | −0.635408 | + | 0.918247i | |||||
5.19641 | − | 3.00015i | 0.179829 | − | 0.103824i | |||||
9.22401 | − | 12.4518i | 0.319019 | − | 0.430655i | |||||
−4.74723 | − | 25.0093i | −0.164088 | − | 0.864447i | |||||
−39.1214 | − | 12.9117i | −1.35143 | − | 0.446028i | |||||
37.5962 | 1.29796 | 0.648982 | − | 0.760803i | ||||||
0.648982 | + | 0.760803i | ||||||||
0 | 0 | |||||||||
−1.67632 | −0.0578040 | |||||||||
43.0849 | + | 14.2199i | 1.48481 | + | 0.490049i | |||||
0.580701 | − | 1.97085i | 0.0200004 | − | 0.0678796i | |||||
−17.7101 | + | 23.9075i | −0.609607 | + | 0.822931i | |||||
7.07716 | − | 4.08600i | 0.243462 | − | 0.140563i | |||||
17.5585 | − | 45.5044i | 0.603673 | − | 1.56447i | |||||
0 | 0 | |||||||||
−11.5612 | + | 49.8377i | −0.397013 | + | 1.71143i | |||||
33.0560 | + | 34.7332i | 1.13448 | + | 1.19204i | |||||
−27.7866 | + | 5.77200i | −0.953074 | + | 0.197978i | |||||
0.836944 | − | 1.44963i | 0.0286901 | − | 0.0496927i | |||||
−9.46562 | − | 12.5374i | −0.324287 | − | 0.429523i | |||||
−5.68417 | −0.194622 | −0.0973112 | − | 0.995254i | ||||||
−0.0973112 | + | 0.995254i | ||||||||
0 | 0 | |||||||||
−5.12543 | + | 2.63019i | −0.175286 | + | 0.0899507i | |||||
−4.63529 | + | 10.0339i | −0.158431 | + | 0.342951i | |||||
27.4440 | + | 15.8448i | 0.937471 | + | 0.541249i | 0.889166 | − | 0.457584i | ||
0.0483040 | + | 0.998833i | ||||||||
−49.4819 | + | 23.4086i | −1.68929 | + | 0.799156i | |||||
−5.22874 | + | 3.01882i | −0.178402 | + | 0.103001i | −0.586542 | − | 0.809919i | ||
0.408139 | + | 0.912920i | ||||||||
0.908514 | − | 7.93679i | 0.0309801 | − | 0.270642i | |||||
0 | 0 | |||||||||
19.2552 | − | 17.1768i | 0.655835 | − | 0.585045i | |||||
20.0569 | + | 34.7395i | 0.682744 | + | 1.18255i | 0.974140 | + | 0.225944i | ||
−0.291396 | + | 0.956602i | ||||||||
−22.7063 | + | 18.6661i | −0.772483 | + | 0.635035i | |||||
−9.03379 | + | 15.6470i | −0.307158 | + | 0.532013i | |||||
−6.51124 | − | 2.14898i | −0.221261 | − | 0.0730254i | |||||
−7.02181 | − | 29.0632i | −0.238473 | − | 0.987038i | |||||
0 | 0 | |||||||||
− | 35.0447i | − | 1.18881i | |||||||
−1.38842 | + | 16.9513i | −0.0470717 | + | 0.574703i | |||||
40.3415 | + | 23.2912i | 1.36692 | + | 0.789192i | |||||
−23.2326 | + | 2.11628i | −0.786755 | + | 0.0716664i | |||||
−34.4944 | − | 22.2597i | −1.16746 | − | 0.753377i | |||||
−0.452179 | − | 0.506892i | −0.0152952 | − | 0.0171459i | |||||
0 | 0 | |||||||||
4.86191 | − | 0.601491i | 0.164269 | − | 0.0203225i | |||||
21.9436 | + | 38.0074i | 0.740983 | + | 1.28342i | 0.952048 | + | 0.305948i | ||
−0.211066 | + | 0.977472i | ||||||||
−28.0421 | + | 5.82507i | −0.946375 | + | 0.196587i | |||||
0.0968270 | − | 0.328623i | 0.00326590 | − | 0.0110842i | |||||
−24.2648 | + | 7.39057i | −0.817965 | + | 0.249136i | |||||
1.27293i | 0.0428860i | 0.999770 | + | 0.0214430i | ||||||
−0.999770 | + | 0.0214430i | ||||||||
0 | 0 | |||||||||
− | 19.5118i | − | 0.656625i | −0.944569 | − | 0.328312i | ||||
0.944569 | − | 0.328312i | ||||||||
−20.5985 | − | 47.4417i | −0.692804 | − | 1.59564i | |||||
−4.88940 | + | 16.5942i | −0.164355 | + | 0.557808i | |||||
−6.46214 | − | 31.1090i | −0.217100 | − | 1.04513i | |||||
−13.4459 | − | 23.2890i | −0.451470 | − | 0.781969i | 0.547007 | − | 0.837128i | ||
−0.998478 | + | 0.0551585i | ||||||||
−17.2301 | + | 19.6730i | −0.578203 | + | 0.660183i | |||||
0 | 0 | |||||||||
6.34727 | − | 5.66215i | 0.212761 | − | 0.189796i | |||||
−45.3018 | − | 4.49728i | −1.51767 | − | 0.150665i | |||||
23.1159 | − | 31.2050i | 0.773977 | − | 1.04482i | |||||
−15.2503 | − | 8.80477i | −0.510332 | − | 0.294640i | |||||
27.5797 | + | 2.25894i | 0.922402 | + | 0.0755504i | |||||
0.870412i | 0.0290947i | |||||||||
0 | 0 | |||||||||
0.563515 | + | 2.33238i | 0.0188152 | + | 0.0778760i | |||||
−13.1047 | + | 39.7060i | −0.437308 | + | 1.32501i | |||||
−13.5668 | + | 23.4984i | −0.452478 | + | 0.783715i | |||||
−20.2959 | − | 3.34718i | −0.676532 | − | 0.111573i | |||||
−37.4334 | − | 64.8365i | −1.24709 | − | 2.16002i | |||||
9.42574 | + | 10.5662i | 0.313843 | + | 0.351817i | |||||
0 | 0 | |||||||||
15.5418 | − | 10.9655i | 0.516913 | − | 0.364706i | |||||
6.85120 | − | 3.95554i | 0.227742 | − | 0.131487i | |||||
−11.6269 | − | 24.5773i | −0.386277 | − | 0.816527i | |||||
16.1538 | + | 9.32642i | 0.536379 | + | 0.309679i | 0.743610 | − | 0.668613i | ||
−0.207231 | + | 0.978292i | ||||||||
−19.5979 | + | 8.50914i | −0.650379 | + | 0.282386i | |||||
−5.57709 | − | 10.8680i | −0.184980 | − | 0.360470i | |||||
0 | 0 | |||||||||
8.12909 | 0.269329 | 0.134664 | − | 0.990891i | ||||||
0.134664 | + | 0.990891i | ||||||||
5.38974 | + | 9.14181i | 0.178472 | + | 0.302716i | |||||
−17.1561 | + | 29.7153i | −0.567785 | + | 0.983433i | |||||
5.23336 | + | 25.1936i | 0.173104 | + | 0.833330i | |||||
−0.453413 | − | 0.476419i | −0.0149894 | − | 0.0157499i | |||||
1.70623 | − | 14.9057i | 0.0563755 | − | 0.492497i | |||||
0 | 0 | |||||||||
5.62715 | − | 42.6440i | 0.185724 | − | 1.40746i | |||||
−15.2109 | + | 8.78201i | −0.501761 | + | 0.289692i | −0.729440 | − | 0.684044i | ||
0.227680 | + | 0.973736i | ||||||||
0.100865 | + | 1.10730i | 0.00332542 | + | 0.0365065i | |||||
−8.13692 | + | 27.6160i | −0.268121 | + | 0.909979i | |||||
−11.0712 | + | 33.5447i | −0.364610 | + | 1.10474i | |||||
20.0351 | 0.659463 | |||||||||
0 | 0 | |||||||||
−18.3011 | −0.601736 | |||||||||
2.82440 | − | 8.55770i | 0.0928156 | − | 0.281223i | |||||
−39.1793 | − | 1.93997i | −1.28682 | − | 0.0637170i | |||||
31.3228 | + | 0.724692i | 1.02822 | + | 0.0237892i | |||||
−33.7624 | + | 19.4927i | −1.10771 | + | 0.639535i | −0.938235 | − | 0.345999i | ||
−0.169473 | + | 0.985535i | ||||||||
12.3708 | + | 8.56036i | 0.405656 | + | 0.280705i | |||||
0 | 0 | |||||||||
−5.56221 | − | 0.636699i | −0.182196 | − | 0.0208558i | |||||
−13.4953 | + | 12.8436i | −0.441816 | + | 0.420481i | |||||
−7.86863 | − | 37.8799i | −0.257470 | − | 1.23947i | |||||
18.5592 | − | 32.1455i | 0.606951 | − | 1.05127i | |||||
−1.55027 | − | 37.4557i | −0.0506720 | − | 1.22428i | |||||
23.7865 | 0.777072 | 0.388536 | − | 0.921434i | ||||||
0.388536 | + | 0.921434i | ||||||||
0 | 0 | |||||||||
2.01106 | + | 8.32376i | 0.0656285 | + | 0.271636i | |||||
11.4799 | + | 26.4400i | 0.374433 | + | 0.862378i | |||||
26.5129 | + | 15.3073i | 0.864297 | + | 0.499002i | 0.865449 | − | 0.500997i | ||
−0.00115159 | + | 0.999999i | ||||||||
32.7609 | − | 15.4983i | 1.06741 | − | 0.504963i | |||||
0.537520 | − | 0.310337i | 0.0175041 | − | 0.0101060i | |||||
31.0437 | + | 7.20143i | 1.01039 | + | 0.234387i | |||||
0 | 0 | |||||||||
−15.1722 | − | 17.0081i | −0.493292 | − | 0.552980i | |||||
−7.73005 | − | 13.3888i | −0.251193 | − | 0.435079i | 0.712662 | − | 0.701508i | ||
−0.963855 | + | 0.266429i | ||||||||
22.1007 | + | 9.35730i | 0.717797 | + | 0.303911i | |||||
−3.12398 | + | 5.41090i | −0.101409 | + | 0.175645i | |||||
−2.32760 | + | 7.05244i | −0.0755175 | + | 0.228811i | |||||
36.9294 | − | 8.92233i | 1.19752 | − | 0.289326i | |||||
0 | 0 | |||||||||
− | 13.4497i | − | 0.435679i | −0.975985 | − | 0.217839i | ||||
0.975985 | − | 0.217839i | ||||||||
−8.39549 | − | 53.6111i | −0.271814 | − | 1.73572i | |||||
−4.24264 | − | 2.44949i | −0.137289 | − | 0.0792636i | |||||
33.0203 | + | 24.4606i | 1.06795 | + | 0.791113i | |||||
33.4531 | + | 35.1505i | 1.08138 | + | 1.13625i | |||||
−20.9308 | + | 18.6715i | −0.676243 | + | 0.603250i | |||||
0 | 0 | |||||||||
1.81813 | − | 17.2757i | 0.0586799 | − | 0.557572i | |||||
−3.50000 | − | 6.06218i | −0.112903 | − | 0.195554i | |||||
−6.78340 | − | 32.6555i | −0.218705 | − | 1.05286i | |||||
0.579770 | − | 11.7089i | 0.0186828 | − | 0.377315i | |||||
−33.1218 | + | 14.3811i | −1.06678 | + | 0.463183i | |||||
1.97031i | 0.0634264i | |||||||||
0 | 0 | |||||||||
41.1554i | 1.32347i | 0.749738 | + | 0.661734i | ||||||
−0.749738 | + | 0.661734i | ||||||||
−17.3017 | + | 37.4525i | −0.556098 | + | 1.20377i | |||||
−14.8965 | − | 4.38917i | −0.478543 | − | 0.141000i | |||||
23.7544 | − | 4.93441i | 0.762709 | − | 0.158434i | |||||
−14.4445 | − | 25.0186i | −0.463546 | − | 0.802886i | 0.535588 | − | 0.844479i | ||
−0.999135 | + | 0.0415934i | ||||||||
14.9322 | − | 27.3684i | 0.478951 | − | 0.877842i | |||||
0 | 0 | |||||||||
38.4593 | + | 43.1128i | 1.23232 | + | 1.38142i | |||||
19.0036 | − | 18.0859i | 0.608603 | − | 0.579213i | |||||
−0.827212 | + | 0.885206i | −0.0264784 | + | 0.0283348i | |||||
−40.6932 | − | 23.4942i | −1.30189 | − | 0.751646i | −0.321161 | − | 0.947024i | ||
−0.980728 | + | 0.195378i | ||||||||
32.3865 | + | 2.65265i | 1.03561 | + | 0.0848225i | |||||
− | 24.2673i | − | 0.775587i | |||||||
0 | 0 | |||||||||
22.0145 | − | 11.2971i | 0.702868 | − | 0.360687i | |||||
27.2624 | + | 8.99776i | 0.869979 | + | 0.287130i | |||||
−13.6677 | + | 23.6731i | −0.435931 | + | 0.755054i | −0.997371 | − | 0.0724632i | ||
0.561440 | + | 0.827517i | ||||||||
−9.18029 | + | 3.12298i | −0.292657 | + | 0.0995568i | |||||
1.14888 | + | 1.98991i | 0.0366063 | + | 0.0634039i | |||||
−34.2137 | + | 30.5207i | −1.08959 | + | 0.971978i | |||||
0 | 0 | |||||||||
−13.4468 | − | 1.53923i | −0.427799 | − | 0.0489696i | |||||
−0.865226 | + | 0.499538i | −0.0275126 | + | 0.0158844i | |||||
20.9378 | − | 16.8948i | 0.665446 | − | 0.536951i | |||||
18.0000 | + | 10.3923i | 0.571789 | + | 0.330122i | 0.757863 | − | 0.652413i | ||
−0.186075 | + | 0.982536i | ||||||||
14.4078 | − | 23.6731i | 0.457449 | − | 0.751621i | |||||
6.30019 | − | 1.52216i | 0.199930 | − | 0.0483042i | |||||
0 | 0 | |||||||||
4.60206 | 0.145895 | |||||||||
−14.1589 | − | 18.7537i | −0.448641 | − | 0.594233i | |||||
6.02119 | − | 10.4290i | 0.190693 | − | 0.330290i | −0.754787 | − | 0.655970i | ||
0.945480 | + | 0.325680i | ||||||||
−47.3929 | + | 9.84472i | −1.50020 | + | 0.311629i | |||||
9.14586 | − | 26.1867i | 0.289362 | − | 0.828511i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 588.2.n.h.263.3 | 24 | ||
3.2 | odd | 2 | inner | 588.2.n.h.263.9 | 24 | ||
4.3 | odd | 2 | 588.2.n.d.263.6 | 24 | |||
7.2 | even | 3 | 588.2.n.d.275.8 | 24 | |||
7.3 | odd | 6 | 588.2.e.f.491.17 | yes | 24 | ||
7.4 | even | 3 | 588.2.e.f.491.18 | yes | 24 | ||
7.5 | odd | 6 | 588.2.n.d.275.7 | 24 | |||
7.6 | odd | 2 | inner | 588.2.n.h.263.4 | 24 | ||
12.11 | even | 2 | 588.2.n.d.263.8 | 24 | |||
21.2 | odd | 6 | 588.2.n.d.275.6 | 24 | |||
21.5 | even | 6 | 588.2.n.d.275.5 | 24 | |||
21.11 | odd | 6 | 588.2.e.f.491.7 | yes | 24 | ||
21.17 | even | 6 | 588.2.e.f.491.8 | yes | 24 | ||
21.20 | even | 2 | inner | 588.2.n.h.263.10 | 24 | ||
28.3 | even | 6 | 588.2.e.f.491.6 | yes | 24 | ||
28.11 | odd | 6 | 588.2.e.f.491.5 | ✓ | 24 | ||
28.19 | even | 6 | inner | 588.2.n.h.275.10 | 24 | ||
28.23 | odd | 6 | inner | 588.2.n.h.275.9 | 24 | ||
28.27 | even | 2 | 588.2.n.d.263.5 | 24 | |||
84.11 | even | 6 | 588.2.e.f.491.20 | yes | 24 | ||
84.23 | even | 6 | inner | 588.2.n.h.275.3 | 24 | ||
84.47 | odd | 6 | inner | 588.2.n.h.275.4 | 24 | ||
84.59 | odd | 6 | 588.2.e.f.491.19 | yes | 24 | ||
84.83 | odd | 2 | 588.2.n.d.263.7 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
588.2.e.f.491.5 | ✓ | 24 | 28.11 | odd | 6 | ||
588.2.e.f.491.6 | yes | 24 | 28.3 | even | 6 | ||
588.2.e.f.491.7 | yes | 24 | 21.11 | odd | 6 | ||
588.2.e.f.491.8 | yes | 24 | 21.17 | even | 6 | ||
588.2.e.f.491.17 | yes | 24 | 7.3 | odd | 6 | ||
588.2.e.f.491.18 | yes | 24 | 7.4 | even | 3 | ||
588.2.e.f.491.19 | yes | 24 | 84.59 | odd | 6 | ||
588.2.e.f.491.20 | yes | 24 | 84.11 | even | 6 | ||
588.2.n.d.263.5 | 24 | 28.27 | even | 2 | |||
588.2.n.d.263.6 | 24 | 4.3 | odd | 2 | |||
588.2.n.d.263.7 | 24 | 84.83 | odd | 2 | |||
588.2.n.d.263.8 | 24 | 12.11 | even | 2 | |||
588.2.n.d.275.5 | 24 | 21.5 | even | 6 | |||
588.2.n.d.275.6 | 24 | 21.2 | odd | 6 | |||
588.2.n.d.275.7 | 24 | 7.5 | odd | 6 | |||
588.2.n.d.275.8 | 24 | 7.2 | even | 3 | |||
588.2.n.h.263.3 | 24 | 1.1 | even | 1 | trivial | ||
588.2.n.h.263.4 | 24 | 7.6 | odd | 2 | inner | ||
588.2.n.h.263.9 | 24 | 3.2 | odd | 2 | inner | ||
588.2.n.h.263.10 | 24 | 21.20 | even | 2 | inner | ||
588.2.n.h.275.3 | 24 | 84.23 | even | 6 | inner | ||
588.2.n.h.275.4 | 24 | 84.47 | odd | 6 | inner | ||
588.2.n.h.275.9 | 24 | 28.23 | odd | 6 | inner | ||
588.2.n.h.275.10 | 24 | 28.19 | even | 6 | inner |