Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [234,2,Mod(55,234)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(234, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("234.55");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 234.h (of order , degree , minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Coefficient field: | |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
|
Coefficient ring: | |
Coefficient ring index: | |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 55.2 | ||
Root | of defining polynomial | ||
Character | 234.55 | ||
Dual form | 234.2.h.d.217.2 |
-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 .
−0.500000 | − | 0.866025i | −0.353553 | − | 0.612372i | |||||
0 | 0 | |||||||||
−0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | |||||
4.16228 | 1.86143 | 0.930714 | − | 0.365749i | ||||||
0.930714 | + | 0.365749i | ||||||||
0 | 0 | |||||||||
−1.58114 | + | 2.73861i | −0.597614 | + | 1.03510i | 0.395558 | + | 0.918441i | ||
−0.993172 | + | 0.116657i | ||||||||
1.00000 | 0.353553 | |||||||||
0 | 0 | |||||||||
−2.08114 | − | 3.60464i | −0.658114 | − | 1.13989i | |||||
0.581139 | + | 1.00656i | 0.175220 | + | 0.303490i | 0.940237 | − | 0.340520i | ||
−0.765017 | + | 0.644010i | ||||||||
0 | 0 | |||||||||
0.0811388 | + | 3.60464i | 0.0225039 | + | 0.999747i | |||||
3.16228 | 0.845154 | |||||||||
0 | 0 | |||||||||
−0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | |||||
1.50000 | − | 2.59808i | 0.363803 | − | 0.630126i | −0.624780 | − | 0.780801i | ||
0.988583 | + | 0.150675i | ||||||||
0 | 0 | |||||||||
2.58114 | − | 4.47066i | 0.592154 | − | 1.02564i | −0.401788 | − | 0.915733i | ||
0.993942 | − | 0.109908i | ||||||||
−2.08114 | + | 3.60464i | −0.465357 | + | 0.806022i | |||||
0 | 0 | |||||||||
0.581139 | − | 1.00656i | 0.123899 | − | 0.214600i | |||||
−3.58114 | − | 6.20271i | −0.746719 | − | 1.29336i | −0.949387 | − | 0.314108i | ||
0.202668 | − | 0.979247i | ||||||||
0 | 0 | |||||||||
12.3246 | 2.46491 | |||||||||
3.08114 | − | 1.87259i | 0.604261 | − | 0.367245i | |||||
0 | 0 | |||||||||
−1.58114 | − | 2.73861i | −0.298807 | − | 0.517549i | |||||
0.918861 | + | 1.59151i | 0.170628 | + | 0.295537i | 0.938640 | − | 0.344899i | ||
−0.768011 | + | 0.640436i | ||||||||
0 | 0 | |||||||||
−6.32456 | −1.13592 | −0.567962 | − | 0.823055i | ||||||
−0.567962 | + | 0.823055i | ||||||||
−0.500000 | + | 0.866025i | −0.0883883 | + | 0.153093i | |||||
0 | 0 | |||||||||
−3.00000 | −0.514496 | |||||||||
−6.58114 | + | 11.3989i | −1.11242 | + | 1.92676i | |||||
0 | 0 | |||||||||
−1.91886 | − | 3.32357i | −0.315459 | − | 0.546391i | 0.664076 | − | 0.747665i | ||
−0.979535 | + | 0.201274i | ||||||||
−5.16228 | −0.837432 | |||||||||
0 | 0 | |||||||||
4.16228 | 0.658114 | |||||||||
−1.50000 | − | 2.59808i | −0.234261 | − | 0.405751i | 0.724797 | − | 0.688963i | ||
−0.959058 | + | 0.283211i | ||||||||
0 | 0 | |||||||||
−4.58114 | + | 7.93477i | −0.698617 | + | 1.21004i | 0.270329 | + | 0.962768i | ||
−0.968946 | + | 0.247272i | ||||||||
−1.16228 | −0.175220 | |||||||||
0 | 0 | |||||||||
−3.58114 | + | 6.20271i | −0.528010 | + | 0.914540i | |||||
4.83772 | 0.705654 | 0.352827 | − | 0.935689i | ||||||
0.352827 | + | 0.935689i | ||||||||
0 | 0 | |||||||||
−1.50000 | − | 2.59808i | −0.214286 | − | 0.371154i | |||||
−6.16228 | − | 10.6734i | −0.871478 | − | 1.50944i | |||||
0 | 0 | |||||||||
−3.16228 | − | 1.73205i | −0.438529 | − | 0.240192i | |||||
−12.4868 | −1.71520 | −0.857599 | − | 0.514319i | ||||||
−0.857599 | + | 0.514319i | ||||||||
0 | 0 | |||||||||
2.41886 | + | 4.18959i | 0.326159 | + | 0.564924i | |||||
−1.58114 | + | 2.73861i | −0.211289 | + | 0.365963i | |||||
0 | 0 | |||||||||
0.918861 | − | 1.59151i | 0.120652 | − | 0.208976i | |||||
1.16228 | − | 2.01312i | 0.151316 | − | 0.262086i | −0.780396 | − | 0.625286i | ||
0.931711 | + | 0.363200i | ||||||||
0 | 0 | |||||||||
−0.0811388 | + | 0.140537i | −0.0103888 | + | 0.0179939i | −0.871173 | − | 0.490976i | ||
0.860784 | + | 0.508970i | ||||||||
3.16228 | + | 5.47723i | 0.401610 | + | 0.695608i | |||||
0 | 0 | |||||||||
1.00000 | 0.125000 | |||||||||
0.337722 | + | 15.0035i | 0.0418893 | + | 1.86096i | |||||
0 | 0 | |||||||||
1.41886 | + | 2.45754i | 0.173341 | + | 0.300236i | 0.939586 | − | 0.342313i | ||
−0.766245 | + | 0.642549i | ||||||||
1.50000 | + | 2.59808i | 0.181902 | + | 0.315063i | |||||
0 | 0 | |||||||||
13.1623 | 1.57319 | |||||||||
3.58114 | − | 6.20271i | 0.425003 | − | 0.736127i | −0.571418 | − | 0.820659i | ||
0.996421 | + | 0.0845326i | ||||||||
0 | 0 | |||||||||
−1.00000 | −0.117041 | −0.0585206 | − | 0.998286i | ||||||
−0.0585206 | + | 0.998286i | ||||||||
−1.91886 | + | 3.32357i | −0.223063 | + | 0.386357i | |||||
0 | 0 | |||||||||
2.58114 | + | 4.47066i | 0.296077 | + | 0.512820i | |||||
−3.67544 | −0.418856 | |||||||||
0 | 0 | |||||||||
−4.00000 | −0.450035 | −0.225018 | − | 0.974355i | ||||||
−0.225018 | + | 0.974355i | ||||||||
−2.08114 | − | 3.60464i | −0.232678 | − | 0.403011i | |||||
0 | 0 | |||||||||
−1.50000 | + | 2.59808i | −0.165647 | + | 0.286910i | |||||
−3.48683 | −0.382730 | −0.191365 | − | 0.981519i | ||||||
−0.191365 | + | 0.981519i | ||||||||
0 | 0 | |||||||||
6.24342 | − | 10.8139i | 0.677194 | − | 1.17293i | |||||
9.16228 | 0.987994 | |||||||||
0 | 0 | |||||||||
0.581139 | + | 1.00656i | 0.0619496 | + | 0.107300i | |||||
−6.00000 | − | 10.3923i | −0.635999 | − | 1.10158i | −0.986303 | − | 0.164946i | ||
0.350304 | − | 0.936636i | ||||||||
0 | 0 | |||||||||
−10.0000 | − | 5.47723i | −1.04828 | − | 0.574169i | |||||
7.16228 | 0.746719 | |||||||||
0 | 0 | |||||||||
−2.41886 | − | 4.18959i | −0.249486 | − | 0.432123i | |||||
10.7434 | − | 18.6081i | 1.10225 | − | 1.90916i | |||||
0 | 0 | |||||||||
2.00000 | − | 3.46410i | 0.203069 | − | 0.351726i | −0.746447 | − | 0.665445i | ||
0.949516 | + | 0.313719i | ||||||||
−1.50000 | + | 2.59808i | −0.151523 | + | 0.262445i | |||||
0 | 0 | |||||||||
−6.16228 | + | 10.6734i | −0.616228 | + | 1.06734i | |||||
−3.91886 | − | 6.78767i | −0.389941 | − | 0.675398i | 0.602500 | − | 0.798119i | ||
−0.992441 | + | 0.122721i | ||||||||
0 | 0 | |||||||||
−15.8114 | −1.55794 | −0.778971 | − | 0.627060i | ||||||
−0.778971 | + | 0.627060i | ||||||||
0.0811388 | + | 3.60464i | 0.00795632 | + | 0.353464i | |||||
0 | 0 | |||||||||
6.24342 | + | 10.8139i | 0.606414 | + | 1.05034i | |||||
8.90569 | + | 15.4251i | 0.860946 | + | 1.49120i | 0.871017 | + | 0.491253i | ||
−0.0100711 | + | 0.999949i | ||||||||
0 | 0 | |||||||||
6.64911 | 0.636869 | 0.318435 | − | 0.947945i | ||||||
0.318435 | + | 0.947945i | ||||||||
2.41886 | − | 4.18959i | 0.230629 | − | 0.399462i | |||||
0 | 0 | |||||||||
3.16228 | 0.298807 | |||||||||
−3.33772 | + | 5.78110i | −0.313987 | + | 0.543841i | −0.979222 | − | 0.202793i | ||
0.665235 | + | 0.746634i | ||||||||
0 | 0 | |||||||||
−14.9057 | − | 25.8174i | −1.38996 | − | 2.40749i | |||||
−1.83772 | −0.170628 | |||||||||
0 | 0 | |||||||||
−2.32456 | −0.213993 | |||||||||
4.74342 | + | 8.21584i | 0.434828 | + | 0.753145i | |||||
0 | 0 | |||||||||
4.82456 | − | 8.35637i | 0.438596 | − | 0.759670i | |||||
0.162278 | 0.0146919 | |||||||||
0 | 0 | |||||||||
3.16228 | − | 5.47723i | 0.283981 | − | 0.491869i | |||||
30.4868 | 2.72683 | |||||||||
0 | 0 | |||||||||
9.16228 | + | 15.8695i | 0.813021 | + | 1.40819i | 0.910740 | + | 0.412979i | ||
−0.0977198 | + | 0.995214i | ||||||||
−0.500000 | − | 0.866025i | −0.0441942 | − | 0.0765466i | |||||
0 | 0 | |||||||||
12.8246 | − | 7.79423i | 1.12479 | − | 0.683599i | |||||
16.6491 | 1.45464 | 0.727320 | − | 0.686299i | ||||||
0.727320 | + | 0.686299i | ||||||||
0 | 0 | |||||||||
8.16228 | + | 14.1375i | 0.707759 | + | 1.22587i | |||||
1.41886 | − | 2.45754i | 0.122571 | − | 0.212299i | |||||
0 | 0 | |||||||||
1.50000 | − | 2.59808i | 0.128624 | − | 0.222783i | |||||
1.50000 | − | 2.59808i | 0.128154 | − | 0.221969i | −0.794808 | − | 0.606861i | ||
0.922961 | + | 0.384893i | ||||||||
0 | 0 | |||||||||
3.16228 | − | 5.47723i | 0.268221 | − | 0.464572i | −0.700182 | − | 0.713965i | ||
0.968402 | + | 0.249393i | ||||||||
−6.58114 | − | 11.3989i | −0.556208 | − | 0.963380i | |||||
0 | 0 | |||||||||
−7.16228 | −0.601045 | |||||||||
−3.58114 | + | 2.17647i | −0.299470 | + | 0.182005i | |||||
0 | 0 | |||||||||
3.82456 | + | 6.62432i | 0.317612 | + | 0.550120i | |||||
0.500000 | + | 0.866025i | 0.0413803 | + | 0.0716728i | |||||
0 | 0 | |||||||||
3.83772 | 0.315459 | |||||||||
−0.243416 | + | 0.421610i | −0.0199415 | + | 0.0345396i | −0.875824 | − | 0.482631i | ||
0.855882 | + | 0.517170i | ||||||||
0 | 0 | |||||||||
0.837722 | 0.0681729 | 0.0340864 | − | 0.999419i | ||||||
0.0340864 | + | 0.999419i | ||||||||
2.58114 | − | 4.47066i | 0.209358 | − | 0.362619i | |||||
0 | 0 | |||||||||
1.83772 | + | 3.18303i | 0.148088 | + | 0.256496i | |||||
−26.3246 | −2.11444 | |||||||||
0 | 0 | |||||||||
−10.4868 | −0.836940 | −0.418470 | − | 0.908231i | ||||||
−0.418470 | + | 0.908231i | ||||||||
2.00000 | + | 3.46410i | 0.159111 | + | 0.275589i | |||||
0 | 0 | |||||||||
−2.08114 | + | 3.60464i | −0.164528 | + | 0.284972i | |||||
22.6491 | 1.78500 | |||||||||
0 | 0 | |||||||||
8.00000 | − | 13.8564i | 0.626608 | − | 1.08532i | −0.361619 | − | 0.932326i | ||
0.988227 | − | 0.152992i | ||||||||
3.00000 | 0.234261 | |||||||||
0 | 0 | |||||||||
1.74342 | + | 3.01969i | 0.135315 | + | 0.234373i | |||||
−6.00000 | − | 10.3923i | −0.464294 | − | 0.804181i | 0.534875 | − | 0.844931i | ||
−0.999169 | + | 0.0407502i | ||||||||
0 | 0 | |||||||||
−12.9868 | + | 0.584952i | −0.998987 | + | 0.0449963i | |||||
−12.4868 | −0.957696 | |||||||||
0 | 0 | |||||||||
−4.58114 | − | 7.93477i | −0.349309 | − | 0.605020i | |||||
−11.3246 | + | 19.6147i | −0.860990 | + | 1.49128i | 0.00998448 | + | 0.999950i | ||
−0.870974 | + | 0.491328i | ||||||||
0 | 0 | |||||||||
−19.4868 | + | 33.7522i | −1.47307 | + | 2.55143i | |||||
0.581139 | − | 1.00656i | 0.0438050 | − | 0.0758725i | |||||
0 | 0 | |||||||||
−6.00000 | + | 10.3923i | −0.449719 | + | 0.778936i | |||||
−7.74342 | − | 13.4120i | −0.578770 | − | 1.00246i | −0.995621 | − | 0.0934843i | ||
0.416851 | − | 0.908975i | ||||||||
0 | 0 | |||||||||
3.83772 | 0.285256 | 0.142628 | − | 0.989776i | ||||||
0.142628 | + | 0.989776i | ||||||||
0.256584 | + | 11.3989i | 0.0190192 | + | 0.844940i | |||||
0 | 0 | |||||||||
−3.58114 | − | 6.20271i | −0.264005 | − | 0.457270i | |||||
−7.98683 | − | 13.8336i | −0.587204 | − | 1.01707i | |||||
0 | 0 | |||||||||
3.48683 | 0.254982 | |||||||||
−2.41886 | + | 4.18959i | −0.176414 | + | 0.305557i | |||||
0 | 0 | |||||||||
−21.4868 | −1.55882 | |||||||||
−7.16228 | + | 12.4054i | −0.518244 | + | 0.897625i | 0.481531 | + | 0.876429i | ||
−0.999775 | + | 0.0211963i | ||||||||
0 | 0 | |||||||||
9.98683 | + | 17.2977i | 0.718868 | + | 1.24512i | 0.961449 | + | 0.274985i | ||
−0.242581 | + | 0.970131i | ||||||||
−4.00000 | −0.287183 | |||||||||
0 | 0 | |||||||||
3.00000 | 0.214286 | |||||||||
−9.48683 | − | 16.4317i | −0.675909 | − | 1.17071i | −0.976202 | − | 0.216862i | ||
0.300293 | − | 0.953847i | ||||||||
0 | 0 | |||||||||
3.25658 | − | 5.64057i | 0.230853 | − | 0.399849i | −0.727206 | − | 0.686419i | ||
0.958059 | + | 0.286570i | ||||||||
12.3246 | 0.871478 | |||||||||
0 | 0 | |||||||||
−3.91886 | + | 6.78767i | −0.275730 | + | 0.477579i | |||||
−5.81139 | −0.407879 | |||||||||
0 | 0 | |||||||||
−6.24342 | − | 10.8139i | −0.436059 | − | 0.755277i | |||||
7.90569 | + | 13.6931i | 0.550816 | + | 0.954041i | |||||
0 | 0 | |||||||||
3.08114 | − | 1.87259i | 0.213639 | − | 0.129841i | |||||
6.00000 | 0.415029 | |||||||||
0 | 0 | |||||||||
2.00000 | + | 3.46410i | 0.137686 | + | 0.238479i | 0.926620 | − | 0.375999i | ||
−0.788935 | + | 0.614477i | ||||||||
6.24342 | − | 10.8139i | 0.428800 | − | 0.742703i | |||||
0 | 0 | |||||||||
8.90569 | − | 15.4251i | 0.608781 | − | 1.05444i | |||||
−19.0680 | + | 33.0267i | −1.30042 | + | 2.25240i | |||||
0 | 0 | |||||||||
10.0000 | − | 17.3205i | 0.678844 | − | 1.17579i | |||||
−3.32456 | − | 5.75830i | −0.225167 | − | 0.390001i | |||||
0 | 0 | |||||||||
−4.83772 | −0.326159 | |||||||||
9.48683 | + | 5.19615i | 0.638153 | + | 0.349531i | |||||
0 | 0 | |||||||||
0.837722 | + | 1.45098i | 0.0560980 | + | 0.0971647i | 0.892711 | − | 0.450630i | ||
−0.836613 | + | 0.547795i | ||||||||
−1.58114 | − | 2.73861i | −0.105644 | − | 0.182981i | |||||
0 | 0 | |||||||||
6.67544 | 0.444044 | |||||||||
7.74342 | − | 13.4120i | 0.513949 | − | 0.890185i | −0.485920 | − | 0.874003i | ||
0.999869 | − | 0.0161821i | ||||||||
0 | 0 | |||||||||
22.3246 | 1.47525 | 0.737624 | − | 0.675212i | ||||||
0.737624 | + | 0.675212i | ||||||||
−14.9057 | + | 25.8174i | −0.982852 | + | 1.70235i | |||||
0 | 0 | |||||||||
0.918861 | + | 1.59151i | 0.0603262 | + | 0.104488i | |||||
−16.6491 | −1.09072 | −0.545360 | − | 0.838202i | ||||||
−0.545360 | + | 0.838202i | ||||||||
0 | 0 | |||||||||
20.1359 | 1.31352 | |||||||||
1.16228 | + | 2.01312i | 0.0756578 | + | 0.131043i | |||||
0 | 0 | |||||||||
4.74342 | − | 8.21584i | 0.307470 | − | 0.532554i | |||||
−21.4868 | −1.38987 | −0.694934 | − | 0.719074i | ||||||
−0.694934 | + | 0.719074i | ||||||||
0 | 0 | |||||||||
−6.66228 | + | 11.5394i | −0.429155 | + | 0.743318i | −0.996798 | − | 0.0799563i | ||
0.567643 | + | 0.823275i | ||||||||
−9.64911 | −0.620268 | |||||||||
0 | 0 | |||||||||
−0.0811388 | − | 0.140537i | −0.00519438 | − | 0.00899693i | |||||
−6.24342 | − | 10.8139i | −0.398877 | − | 0.690876i | |||||
0 | 0 | |||||||||
16.3246 | + | 8.94133i | 1.03871 | + | 0.568923i | |||||
−6.32456 | −0.401610 | |||||||||
0 | 0 | |||||||||
−15.2434 | − | 26.4024i | −0.964078 | − | 1.66983i | |||||
6.00000 | − | 10.3923i | 0.378717 | − | 0.655956i | −0.612159 | − | 0.790735i | ||
0.990876 | + | 0.134778i | ||||||||
0 | 0 | |||||||||
4.16228 | − | 7.20928i | 0.261680 | − | 0.453243i | |||||
9.16228 | − | 15.8695i | 0.574892 | − | 0.995743i | |||||
0 | 0 | |||||||||
−0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | |||||
10.9868 | + | 19.0298i | 0.685340 | + | 1.18704i | 0.973330 | + | 0.229410i | ||
−0.287990 | + | 0.957633i | ||||||||
0 | 0 | |||||||||
12.1359 | 0.754091 | |||||||||
−13.1623 | − | 7.20928i | −0.816290 | − | 0.447100i | |||||
0 | 0 | |||||||||
−8.32456 | − | 14.4186i | −0.514293 | − | 0.890781i | |||||
1.25658 | + | 2.17647i | 0.0774843 | + | 0.134207i | 0.902164 | − | 0.431393i | ||
−0.824680 | + | 0.565600i | ||||||||
0 | 0 | |||||||||
−51.9737 | −3.19272 | |||||||||
8.16228 | − | 14.1375i | 0.500461 | − | 0.866824i | |||||
0 | 0 | |||||||||
−2.83772 | −0.173341 | |||||||||
−3.00000 | + | 5.19615i | −0.182913 | + | 0.316815i | −0.942871 | − | 0.333157i | ||
0.759958 | + | 0.649972i | ||||||||
0 | 0 | |||||||||
3.16228 | + | 5.47723i | 0.192095 | + | 0.332718i | 0.945944 | − | 0.324329i | ||
−0.753850 | + | 0.657047i | ||||||||
−3.00000 | −0.181902 | |||||||||
0 | 0 | |||||||||
−3.00000 | −0.181237 | |||||||||
7.16228 | + | 12.4054i | 0.431902 | + | 0.748076i | |||||
0 | 0 | |||||||||
−5.40569 | + | 9.36294i | −0.324797 | + | 0.562564i | −0.981471 | − | 0.191610i | ||
0.656675 | + | 0.754174i | ||||||||
−6.32456 | −0.379322 | |||||||||
0 | 0 | |||||||||
−6.58114 | + | 11.3989i | −0.393298 | + | 0.681213i | |||||
−0.675445 | −0.0402937 | −0.0201468 | − | 0.999797i | ||||||
−0.0201468 | + | 0.999797i | ||||||||
0 | 0 | |||||||||
1.41886 | + | 2.45754i | 0.0843425 | + | 0.146086i | 0.905111 | − | 0.425176i | ||
−0.820768 | + | 0.571261i | ||||||||
3.58114 | + | 6.20271i | 0.212501 | + | 0.368063i | |||||
0 | 0 | |||||||||
3.67544 | + | 2.01312i | 0.217334 | + | 0.119039i | |||||
9.48683 | 0.559990 | |||||||||
0 | 0 | |||||||||
4.00000 | + | 6.92820i | 0.235294 | + | 0.407541i | |||||
3.82456 | − | 6.62432i | 0.224586 | − | 0.388994i | |||||
0 | 0 | |||||||||
0.500000 | − | 0.866025i | 0.0292603 | − | 0.0506803i | |||||
−0.918861 | + | 1.59151i | −0.0536804 | + | 0.0929773i | −0.891617 | − | 0.452790i | ||
0.837937 | + | 0.545768i | ||||||||
0 | 0 | |||||||||
4.83772 | − | 8.37918i | 0.281663 | − | 0.487855i | |||||
−1.91886 | − | 3.32357i | −0.111532 | − | 0.193178i | |||||
0 | 0 | |||||||||
0.486833 | 0.0282015 | |||||||||
22.0680 | − | 13.4120i | 1.27622 | − | 0.775635i | |||||
0 | 0 | |||||||||
−14.4868 | − | 25.0919i | −0.835007 | − | 1.44627i | |||||
−0.418861 | − | 0.725489i | −0.0241028 | − | 0.0417472i | |||||
0 | 0 | |||||||||
−5.16228 | −0.296077 | |||||||||
−0.337722 | + | 0.584952i | −0.0193379 | + | 0.0334943i | |||||
0 | 0 | |||||||||
11.4868 | 0.655588 | 0.327794 | − | 0.944749i | ||||||
0.327794 | + | 0.944749i | ||||||||
1.83772 | − | 3.18303i | 0.104714 | − | 0.181370i | |||||
0 | 0 | |||||||||
13.1623 | + | 22.7977i | 0.747567 | + | 1.29482i | |||||
21.4868 | 1.21841 | 0.609203 | − | 0.793014i | ||||||
0.609203 | + | 0.793014i | ||||||||
0 | 0 | |||||||||
−4.00000 | −0.226093 | −0.113047 | − | 0.993590i | ||||||
−0.113047 | + | 0.993590i | ||||||||
5.24342 | + | 9.08186i | 0.295903 | + | 0.512519i | |||||
0 | 0 | |||||||||
2.00000 | − | 3.46410i | 0.112509 | − | 0.194871i | |||||
12.4868 | 0.701330 | 0.350665 | − | 0.936501i | ||||||
0.350665 | + | 0.936501i | ||||||||
0 | 0 | |||||||||
−1.06797 | + | 1.84978i | −0.0597949 | + | 0.103568i | |||||
4.16228 | 0.232678 | |||||||||
0 | 0 | |||||||||
−11.3246 | − | 19.6147i | −0.631093 | − | 1.09308i | |||||
−7.74342 | − | 13.4120i | −0.430855 | − | 0.746263i | |||||
0 | 0 | |||||||||
1.00000 | + | 44.4256i | 0.0554700 | + | 2.46429i | |||||
−16.0000 | −0.886158 | |||||||||
0 | 0 | |||||||||
−1.50000 | − | 2.59808i | −0.0828236 | − | 0.143455i | |||||
−7.64911 | + | 13.2486i | −0.421709 | + | 0.730422i | |||||
0 | 0 | |||||||||
5.48683 | − | 9.50347i | 0.301584 | − | 0.522358i | −0.674911 | − | 0.737899i | ||
0.976495 | + | 0.215541i | ||||||||
1.74342 | − | 3.01969i | 0.0956824 | − | 0.165727i | |||||
0 | 0 | |||||||||
−6.00000 | + | 10.3923i | −0.328305 | + | 0.568642i | |||||
5.90569 | + | 10.2290i | 0.322663 | + | 0.558868i | |||||
0 | 0 | |||||||||
11.0000 | 0.599208 | 0.299604 | − | 0.954064i | ||||||
0.299604 | + | 0.954064i | ||||||||
7.00000 | + | 10.9545i | 0.380750 | + | 0.595844i | |||||
0 | 0 | |||||||||
6.24342 | + | 10.8139i | 0.338597 | + | 0.586467i | |||||
−3.67544 | − | 6.36606i | −0.199036 | − | 0.344741i | |||||
0 | 0 | |||||||||
−12.6491 | −0.682988 | |||||||||
−4.58114 | + | 7.93477i | −0.246998 | + | 0.427814i | |||||
0 | 0 | |||||||||
22.6491 | 1.21762 | |||||||||
7.74342 | − | 13.4120i | 0.415688 | − | 0.719993i | −0.579812 | − | 0.814750i | ||
0.995500 | + | 0.0947569i | ||||||||
0 | 0 | |||||||||
2.67544 | + | 4.63401i | 0.143213 | + | 0.248053i | 0.928705 | − | 0.370820i | ||
−0.785492 | + | 0.618872i | ||||||||
38.9737 | 2.08323 | |||||||||
0 | 0 | |||||||||
−1.16228 | −0.0619496 | |||||||||
−14.6623 | − | 25.3958i | −0.780394 | − | 1.35168i | −0.931712 | − | 0.363197i | ||
0.151318 | − | 0.988485i | ||||||||
0 | 0 | |||||||||
14.9057 | − | 25.8174i | 0.791112 | − | 1.37025i | |||||
12.0000 | 0.635999 | |||||||||
0 | 0 | |||||||||
−7.74342 | + | 13.4120i | −0.409252 | + | 0.708846i | |||||
28.4605 | 1.50209 | 0.751044 | − | 0.660252i | ||||||
0.751044 | + | 0.660252i | ||||||||
0 | 0 | |||||||||
−3.82456 | − | 6.62432i | −0.201292 | − | 0.348649i | |||||
−1.91886 | − | 3.32357i | −0.100853 | − | 0.174683i | |||||
0 | 0 | |||||||||
9.74342 | − | 5.92164i | 0.510694 | − | 0.310378i | |||||
−4.16228 | −0.217864 | |||||||||
0 | 0 | |||||||||
12.7434 | + | 22.0722i | 0.665201 | + | 1.15216i | 0.979231 | + | 0.202749i | ||
−0.314030 | + | 0.949413i | ||||||||
−3.58114 | + | 6.20271i | −0.186680 | + | 0.323339i | |||||
0 | 0 | |||||||||
−7.98683 | + | 13.8336i | −0.415216 | + | 0.719175i | |||||
19.7434 | − | 34.1966i | 1.02503 | − | 1.77540i | |||||
0 | 0 | |||||||||
8.24342 | − | 14.2780i | 0.426828 | − | 0.739288i | −0.569761 | − | 0.821810i | ||
0.996589 | + | 0.0825226i | ||||||||
−1.74342 | − | 3.01969i | −0.0901499 | − | 0.156144i | |||||
0 | 0 | |||||||||
4.83772 | 0.249486 | |||||||||
−5.66228 | + | 3.44130i | −0.291622 | + | 0.177236i | |||||
0 | 0 | |||||||||
−8.83772 | − | 15.3074i | −0.453963 | − | 0.786288i | 0.544665 | − | 0.838654i | ||
−0.998628 | + | 0.0523664i | ||||||||
10.7434 | + | 18.6081i | 0.551126 | + | 0.954578i | |||||
0 | 0 | |||||||||
14.3246 | 0.732908 | |||||||||
−15.4868 | + | 26.8240i | −0.791340 | + | 1.37064i | 0.133797 | + | 0.991009i | ||
−0.925137 | + | 0.379633i | ||||||||
0 | 0 | |||||||||
−15.2982 | −0.779670 | |||||||||
9.98683 | − | 17.2977i | 0.508316 | − | 0.880430i | |||||
0 | 0 | |||||||||
2.00000 | + | 3.46410i | 0.101535 | + | 0.175863i | |||||
12.4868 | 0.633108 | 0.316554 | − | 0.948575i | ||||||
0.316554 | + | 0.948575i | ||||||||
0 | 0 | |||||||||
−21.4868 | −1.08664 | |||||||||
−1.50000 | − | 2.59808i | −0.0757614 | − | 0.131223i | |||||
0 | 0 | |||||||||
−9.48683 | + | 16.4317i | −0.477940 | + | 0.827816i | |||||
−16.6491 | −0.837708 | |||||||||
0 | 0 | |||||||||
−13.0000 | + | 22.5167i | −0.652451 | + | 1.13008i | 0.330075 | + | 0.943955i | ||
−0.982526 | + | 0.186124i | ||||||||
−6.51317 | −0.326476 | |||||||||
0 | 0 | |||||||||
−6.16228 | − | 10.6734i | −0.308114 | − | 0.533669i | |||||
7.50000 | + | 12.9904i | 0.374532 | + | 0.648709i | 0.990257 | − | 0.139253i | ||
−0.615725 | + | 0.787961i | ||||||||
0 | 0 | |||||||||
−0.513167 | − | 22.7977i | −0.0255627 | − | 1.13564i | |||||
7.83772 | 0.389941 | |||||||||
0 | 0 | |||||||||
2.90569 | + | 5.03281i | 0.144207 | + | 0.249774i | |||||
2.23025 | − | 3.86291i | 0.110549 | − | 0.191477i | |||||
0 | 0 | |||||||||
−7.33772 | + | 12.7093i | −0.362827 | + | 0.628435i | −0.988425 | − | 0.151711i | ||
0.625598 | + | 0.780146i | ||||||||
−6.24342 | + | 10.8139i | −0.308340 | + | 0.534061i | |||||
0 | 0 | |||||||||
7.90569 | − | 13.6931i | 0.389486 | − | 0.674609i | |||||
3.67544 | + | 6.36606i | 0.180857 | + | 0.313253i | |||||
0 | 0 | |||||||||
−14.5132 | −0.712423 | |||||||||
−3.16228 | − | 1.73205i | −0.155043 | − | 0.0849208i | |||||
0 | 0 | |||||||||
−3.00000 | − | 5.19615i | −0.146735 | − | 0.254152i | |||||
15.4868 | + | 26.8240i | 0.756581 | + | 1.31044i | 0.944584 | + | 0.328269i | ||
−0.188003 | + | 0.982168i | ||||||||
0 | 0 | |||||||||
−23.8377 | −1.16178 | −0.580890 | − | 0.813982i | ||||||
−0.580890 | + | 0.813982i | ||||||||
2.00000 | − | 3.46410i | 0.0973585 | − | 0.168630i | |||||
0 | 0 | |||||||||
−12.4868 | −0.606414 | |||||||||
18.4868 | − | 32.0201i | 0.896743 | − | 1.55320i | |||||
0 | 0 | |||||||||
−0.256584 | − | 0.444416i | −0.0124169 | − | 0.0215068i | |||||
−17.8114 | −0.860946 | |||||||||
0 | 0 | |||||||||
38.1359 | 1.83908 | |||||||||
4.74342 | + | 8.21584i | 0.228482 | + | 0.395743i | 0.957359 | − | 0.288903i | ||
−0.728876 | + | 0.684646i | ||||||||
0 | 0 | |||||||||
4.66228 | − | 8.07530i | 0.224055 | − | 0.388074i | −0.731981 | − | 0.681325i | ||
0.956035 | + | 0.293251i | ||||||||
−20.0000 | −0.960031 | |||||||||
0 | 0 | |||||||||
−3.32456 | + | 5.75830i | −0.159217 | + | 0.275772i | |||||
−36.9737 | −1.76869 | |||||||||
0 | 0 | |||||||||
12.7434 | + | 22.0722i | 0.608210 | + | 1.05345i | 0.991535 | + | 0.129837i | ||
−0.383325 | + | 0.923613i | ||||||||
2.41886 | + | 4.18959i | 0.115315 | + | 0.199731i | |||||
0 | 0 | |||||||||
−0.243416 | − | 10.8139i | −0.0115781 | − | 0.514365i | |||||
0 | 0 | − | 1.00000i | |||||||
1.00000i | ||||||||||
0 | 0 | |||||||||
−24.9737 | − | 43.2557i | −1.18387 | − | 2.05051i | |||||
0.837722 | − | 1.45098i | 0.0396673 | − | 0.0687058i | |||||
0 | 0 | |||||||||
−1.58114 | + | 2.73861i | −0.0747018 | + | 0.129387i | |||||
−3.67544 | + | 6.36606i | −0.173455 | + | 0.300433i | −0.939625 | − | 0.342205i | ||
0.766171 | + | 0.642637i | ||||||||
0 | 0 | |||||||||
1.74342 | − | 3.01969i | 0.0820943 | − | 0.142191i | |||||
−3.33772 | − | 5.78110i | −0.156993 | − | 0.271920i | |||||
0 | 0 | |||||||||
−15.4868 | −0.726833 | |||||||||
−41.6228 | − | 22.7977i | −1.95131 | − | 1.06877i | |||||
0 | 0 | |||||||||
1.66228 | + | 2.87915i | 0.0777581 | + | 0.134681i | 0.902282 | − | 0.431146i | ||
−0.824524 | + | 0.565827i | ||||||||
−11.1623 | − | 19.3336i | −0.521579 | − | 0.903401i | |||||
0 | 0 | |||||||||
29.8114 | 1.38996 | |||||||||
−9.24342 | + | 16.0101i | −0.430509 | + | 0.745663i | −0.996917 | − | 0.0784616i | ||
0.566408 | + | 0.824125i | ||||||||
0 | 0 | |||||||||
15.1623 | 0.704651 | 0.352325 | − | 0.935878i | ||||||
0.352325 | + | 0.935878i | ||||||||
0.918861 | − | 1.59151i | 0.0426571 | − | 0.0738842i | |||||
0 | 0 | |||||||||
8.32456 | + | 14.4186i | 0.385628 | + | 0.667927i | |||||
6.18861 | 0.286375 | 0.143187 | − | 0.989696i | ||||||
0.143187 | + | 0.989696i | ||||||||
0 | 0 | |||||||||
−8.97367 | −0.414365 | |||||||||
−10.0680 | − | 17.4382i | −0.464401 | − | 0.804366i | |||||
0 | 0 | |||||||||
1.16228 | − | 2.01312i | 0.0534982 | − | 0.0926615i | |||||
−10.6491 | −0.489647 | |||||||||
0 | 0 | |||||||||
31.8114 | − | 55.0989i | 1.45961 | − | 2.52811i | |||||
−9.48683 | −0.434828 | |||||||||
0 | 0 | |||||||||
10.7434 | + | 18.6081i | 0.491392 | + | 0.851117i | |||||
12.0000 | + | 20.7846i | 0.548294 | + | 0.949673i | 0.998392 | + | 0.0566937i | ||
−0.450098 | + | 0.892979i | ||||||||
0 | 0 | |||||||||
11.8246 | − | 7.18647i | 0.539153 | − | 0.327675i | |||||
13.3246 | 0.606917 | |||||||||
0 | 0 | |||||||||
4.82456 | + | 8.35637i | 0.219298 | + | 0.379835i | |||||
8.32456 | − | 14.4186i | 0.377999 | − | 0.654713i | |||||
0 | 0 | |||||||||
6.74342 | − | 11.6799i | 0.305573 | − | 0.529269i | −0.671815 | − | 0.740719i | ||
0.977389 | + | 0.211450i | ||||||||
−0.0811388 | + | 0.140537i | −0.00367298 | + | 0.00636179i | |||||
0 | 0 | |||||||||
−6.24342 | + | 10.8139i | −0.282049 | + | 0.488523i | |||||
−2.90569 | − | 5.03281i | −0.131132 | − | 0.227128i | 0.792981 | − | 0.609246i | ||
−0.924113 | + | 0.382119i | ||||||||
0 | 0 | |||||||||
5.51317 | 0.248301 | |||||||||
−0.418861 | − | 18.6081i | −0.0188455 | − | 0.837220i | |||||
0 | 0 | |||||||||
3.16228 | + | 5.47723i | 0.141990 | + | 0.245935i | |||||
11.3246 | + | 19.6147i | 0.507976 | + | 0.879840i | |||||
0 | 0 | |||||||||
12.6491 | 0.566252 | 0.283126 | − | 0.959083i | ||||||
0.283126 | + | 0.959083i | ||||||||
−15.2434 | + | 26.4024i | −0.681706 | + | 1.18075i | |||||
0 | 0 | |||||||||
−12.0000 | −0.535586 | |||||||||
0.0943058 | − | 0.163343i | 0.00420489 | − | 0.00728308i | −0.863915 | − | 0.503637i | ||
0.868120 | + | 0.496354i | ||||||||
0 | 0 | |||||||||
−16.3114 | − | 28.2522i | −0.725847 | − | 1.25720i | |||||
−8.32456 | −0.370072 | |||||||||
0 | 0 | |||||||||
−18.3246 | −0.813021 | |||||||||
14.0811 | + | 24.3892i | 0.624136 | + | 1.08103i | 0.988707 | + | 0.149859i | ||
−0.364572 | + | 0.931175i | ||||||||
0 | 0 | |||||||||
1.58114 | − | 2.73861i | 0.0699455 | − | 0.121149i | |||||
1.00000 | 0.0441942 | |||||||||
0 | 0 | |||||||||
10.9868 | − | 19.0298i | 0.484608 | − | 0.839366i | |||||
−65.8114 | −2.90000 | |||||||||
0 | 0 | |||||||||
2.81139 | + | 4.86947i | 0.123645 | + | 0.214159i | |||||
−6.06797 | − | 10.5100i | −0.266611 | − | 0.461784i | |||||
0 | 0 | |||||||||
0.337722 | + | 15.0035i | 0.0148101 | + | 0.657947i | |||||
−27.0000 | −1.18289 | −0.591446 | − | 0.806345i | ||||||
−0.591446 | + | 0.806345i | ||||||||
0 | 0 | |||||||||
2.58114 | + | 4.47066i | 0.112865 | + | 0.195488i | 0.916924 | − | 0.399061i | ||
−0.804059 | + | 0.594549i | ||||||||
−8.32456 | + | 14.4186i | −0.363660 | + | 0.629877i | |||||
0 | 0 | |||||||||
1.25658 | − | 2.17647i | 0.0547896 | − | 0.0948984i | |||||
−9.48683 | + | 16.4317i | −0.413253 | + | 0.715775i | |||||
0 | 0 | |||||||||
−14.1491 | + | 24.5070i | −0.615179 | + | 1.06552i | |||||
25.9868 | + | 45.0105i | 1.12880 | + | 1.95513i | |||||
0 | 0 | |||||||||
−16.3246 | −0.707759 | |||||||||
9.24342 | − | 5.61776i | 0.400377 | − | 0.243332i | |||||
0 | 0 | |||||||||
37.0680 | + | 64.2036i | 1.60259 | + | 2.77576i | |||||
1.41886 | + | 2.45754i | 0.0612855 | + | 0.106150i | |||||
0 | 0 | |||||||||
6.00000 | 0.258678 | |||||||||
1.74342 | − | 3.01969i | 0.0750943 | − | 0.130067i | |||||
0 | 0 | |||||||||
−15.5132 | −0.666963 | −0.333482 | − | 0.942757i | ||||||
−0.333482 | + | 0.942757i | ||||||||
3.16228 | − | 5.47723i | 0.135831 | − | 0.235267i | |||||
0 | 0 | |||||||||
1.50000 | + | 2.59808i | 0.0643120 | + | 0.111392i | |||||
27.6754 | 1.18549 | |||||||||
0 | 0 | |||||||||
−33.8114 | −1.44567 | −0.722835 | − | 0.691020i | ||||||
−0.722835 | + | 0.691020i | ||||||||
1.50000 | + | 2.59808i | 0.0640768 | + | 0.110984i | |||||
0 | 0 | |||||||||
7.16228 | − | 12.4054i | 0.305401 | − | 0.528969i | |||||
9.48683 | 0.404153 | |||||||||
0 | 0 | |||||||||
6.32456 | − | 10.9545i | 0.268947 | − | 0.465831i | |||||
10.8114 | 0.459332 | |||||||||
0 | 0 | |||||||||
3.16228 | + | 5.47723i | 0.134110 | + | 0.232286i | |||||
9.24342 | + | 16.0101i | 0.391656 | + | 0.678368i | 0.992668 | − | 0.120872i | ||
−0.601012 | + | 0.799240i | ||||||||
0 | 0 | |||||||||
−28.9737 | − | 15.8695i | −1.22546 | − | 0.671210i | |||||
13.1623 | 0.556208 | |||||||||
0 | 0 | |||||||||
0.337722 | + | 0.584952i | 0.0142460 | + | 0.0246747i | |||||
−20.3246 | + | 35.2032i | −0.856578 | + | 1.48364i | 0.0185956 | + | 0.999827i | ||
−0.875173 | + | 0.483809i | ||||||||
0 | 0 | |||||||||
−13.8925 | + | 24.0626i | −0.584463 | + | 1.01232i | |||||
1.41886 | − | 2.45754i | 0.0596392 | − | 0.103298i | |||||
0 | 0 | |||||||||
3.58114 | − | 6.20271i | 0.150261 | − | 0.260260i | |||||
−13.6491 | − | 23.6410i | −0.572200 | − | 0.991080i | −0.996340 | − | 0.0854833i | ||
0.424139 | − | 0.905597i | ||||||||
0 | 0 | |||||||||
−36.1359 | −1.51224 | −0.756121 | − | 0.654432i | ||||||
−0.756121 | + | 0.654432i | ||||||||
−0.0943058 | − | 4.18959i | −0.00394313 | − | 0.175176i | |||||
0 | 0 | |||||||||
−4.74342 | − | 8.21584i | −0.197986 | − | 0.342922i | |||||
−44.1359 | − | 76.4457i | −1.84060 | − | 3.18801i | |||||
0 | 0 | |||||||||
0.350889 | 0.0146077 | 0.00730386 | − | 0.999973i | ||||||
0.00730386 | + | 0.999973i | ||||||||
4.00000 | − | 6.92820i | 0.166378 | − | 0.288175i | |||||
0 | 0 | |||||||||
−7.64911 | −0.317612 | |||||||||
5.51317 | − | 9.54909i | 0.228725 | − | 0.396163i | |||||
0 | 0 | |||||||||
−7.25658 | − | 12.5688i | −0.300537 | − | 0.520545i | |||||
−1.00000 | −0.0413803 | |||||||||
0 | 0 | |||||||||
1.83772 | 0.0759156 | |||||||||
−14.3246 | − | 24.8109i | −0.591238 | − | 1.02405i | −0.994066 | − | 0.108778i | ||
0.402828 | − | 0.915276i | ||||||||
0 | 0 | |||||||||
−16.3246 | + | 28.2750i | −0.672642 | + | 1.16505i | |||||
−9.67544 | −0.398332 | |||||||||
0 | 0 | |||||||||
−1.91886 | + | 3.32357i | −0.0788647 | + | 0.136598i | |||||
0.675445 | 0.0277372 | 0.0138686 | − | 0.999904i | ||||||
0.0138686 | + | 0.999904i | ||||||||
0 | 0 | |||||||||
19.7434 | + | 34.1966i | 0.809401 | + | 1.40192i | |||||
−0.243416 | − | 0.421610i | −0.00997073 | − | 0.0172698i | |||||
0 | 0 | |||||||||
−22.6491 | − | 12.4054i | −0.926191 | − | 0.507296i | |||||
−23.6228 | −0.965200 | −0.482600 | − | 0.875841i | ||||||
−0.482600 | + | 0.875841i | ||||||||
0 | 0 | |||||||||
17.1491 | + | 29.7031i | 0.699527 | + | 1.21162i | 0.968631 | + | 0.248505i | ||
−0.269104 | + | 0.963111i | ||||||||
−14.4868 | + | 25.0919i | −0.590439 | + | 1.02267i | |||||
0 | 0 | |||||||||
−0.418861 | + | 0.725489i | −0.0170432 | + | 0.0295197i | |||||
20.0811 | − | 34.7816i | 0.816414 | − | 1.41407i | |||||
0 | 0 | |||||||||
−8.64911 | + | 14.9807i | −0.351057 | + | 0.608048i | −0.986435 | − | 0.164153i | ||
0.635378 | + | 0.772201i | ||||||||
2.58114 | + | 4.47066i | 0.104679 | + | 0.181309i | |||||
0 | 0 | |||||||||
0.675445 | 0.0273480 | |||||||||
0.392527 | + | 17.4382i | 0.0158799 | + | 0.705476i | |||||
0 | 0 | |||||||||
−10.2434 | − | 17.7421i | −0.413728 | − | 0.716597i | 0.581566 | − | 0.813499i | ||
−0.995294 | + | 0.0969016i | ||||||||
−5.74342 | − | 9.94789i | −0.231785 | − | 0.401464i | |||||
0 | 0 | |||||||||
−3.67544 | −0.148088 | |||||||||
13.3114 | − | 23.0560i | 0.535896 | − | 0.928200i | −0.463223 | − | 0.886242i | ||
0.999119 | − | 0.0419579i | ||||||||
0 | 0 | |||||||||
24.6491 | 0.990731 | 0.495366 | − | 0.868685i | ||||||
0.495366 | + | 0.868685i | ||||||||
13.1623 | − | 22.7977i | 0.528610 | − | 0.915579i | |||||
0 | 0 | |||||||||
−10.7434 | − | 18.6081i | −0.430772 | − | 0.746119i | |||||
37.9473 | 1.52033 | |||||||||
0 | 0 | |||||||||
65.2719 | 2.61088 | |||||||||
2.00000 | + | 3.46410i | 0.0799361 | + | 0.138453i | |||||
0 | 0 | |||||||||
5.24342 | − | 9.08186i | 0.209235 | − | 0.362406i | |||||
−11.5132 | −0.459060 | |||||||||
0 | 0 | |||||||||
12.6491 | − | 21.9089i | 0.503553 | − | 0.872180i | −0.496438 | − | 0.868072i | ||
0.999992 | − | 0.00410769i | ||||||||
−4.00000 | −0.159111 | |||||||||
0 | 0 | |||||||||
−6.24342 | − | 10.8139i | −0.247958 | − | 0.429475i | |||||
38.1359 | + | 66.0534i | 1.51338 | + | 2.62125i | |||||
0 | 0 | |||||||||
9.24342 | − | 5.61776i | 0.366237 | − | 0.222584i | |||||
2.13594 | 0.0845628 | |||||||||
0 | 0 | |||||||||
−2.08114 | − | 3.60464i | −0.0822642 | − | 0.142486i | |||||
−8.17544 | + | 14.1603i | −0.322911 | + | 0.559298i | −0.981087 | − | 0.193566i | ||
0.658177 | + | 0.752864i | ||||||||
0 | 0 | |||||||||
−10.0000 | + | 17.3205i | −0.394362 | + | 0.683054i | −0.993019 | − | 0.117951i | ||
0.598658 | + | 0.801005i | ||||||||
−11.3246 | + | 19.6147i | −0.446250 | + | 0.772928i | |||||
0 | 0 | |||||||||
−7.74342 | + | 13.4120i | −0.304661 | + | 0.527688i | |||||
20.3246 | + | 35.2032i | 0.799041 | + | 1.38398i | 0.920241 | + | 0.391351i | ||
−0.121201 | + | 0.992628i | ||||||||
0 | 0 | |||||||||
2.70178 | 0.106054 | |||||||||
37.9737 | − | 23.0788i | 1.48945 | − | 0.905225i | |||||
0 | 0 | |||||||||
8.00000 | + | 13.8564i | 0.313304 | + | 0.542659i | |||||
−15.0000 | − | 25.9808i | −0.586995 | − | 1.01671i | −0.994623 | − | 0.103558i | ||
0.407628 | − | 0.913148i | ||||||||
0 | 0 | |||||||||
69.2982 | 2.70771 | |||||||||
−1.50000 | + | 2.59808i | −0.0585652 | + | 0.101438i | |||||
0 | 0 | |||||||||
15.2982 | 0.596387 | |||||||||
2.51317 | − | 4.35293i | 0.0978991 | − | 0.169566i | −0.812916 | − | 0.582381i | ||
0.910815 | + | 0.412815i | ||||||||
0 | 0 | |||||||||
−13.2434 | − | 22.9383i | −0.515109 | − | 0.892195i | −0.999846 | − | 0.0175354i | ||
0.484737 | − | 0.874660i | ||||||||
−10.9737 | −0.426504 | |||||||||
0 | 0 | |||||||||
−3.48683 | −0.135315 | |||||||||
33.9737 | + | 58.8441i | 1.31744 | + | 2.28188i | |||||
0 | 0 | |||||||||
6.58114 | − | 11.3989i | 0.254823 | − | 0.441366i | |||||
12.0000 | 0.464294 | |||||||||
0 | 0 | |||||||||
5.90569 | − | 10.2290i | 0.228157 | − | 0.395179i | |||||
−0.188612 | −0.00728127 | |||||||||
0 | 0 | |||||||||
−7.33772 | − | 12.7093i | −0.282848 | − | 0.489908i | 0.689237 | − | 0.724536i | ||
−0.972085 | + | 0.234628i | ||||||||
−5.50000 | − | 9.52628i | −0.211852 | − | 0.366939i | |||||
0 | 0 | |||||||||
5.98683 | − | 11.5394i | 0.230263 | − | 0.443823i | |||||
18.0000 | 0.691796 | 0.345898 | − | 0.938272i | ||||||
0.345898 | + | 0.938272i | ||||||||
0 | 0 | |||||||||
6.32456 | + | 10.9545i | 0.242714 | + | 0.420393i | |||||
6.24342 | − | 10.8139i | 0.239424 | − | 0.414695i | |||||
0 | 0 | |||||||||
−3.67544 | + | 6.36606i | −0.140740 | + | 0.243769i | |||||
17.8114 | − | 30.8502i | 0.681534 | − | 1.18045i | −0.292979 | − | 0.956119i | ||
0.974513 | − | 0.224332i | ||||||||
0 | 0 | |||||||||
6.24342 | − | 10.8139i | 0.238549 | − | 0.413178i | |||||
6.32456 | + | 10.9545i | 0.241473 | + | 0.418243i | |||||
0 | 0 | |||||||||
9.16228 | 0.349309 | |||||||||
−1.01317 | − | 45.0105i | −0.0385986 | − | 1.71476i | |||||
0 | 0 | |||||||||
−4.58114 | − | 7.93477i | −0.174275 | − | 0.301853i | 0.765635 | − | 0.643275i | ||
−0.939910 | + | 0.341422i | ||||||||
−11.3246 | − | 19.6147i | −0.430495 | − | 0.745639i | |||||
0 | 0 | |||||||||
−15.4868 | −0.587872 | |||||||||
13.1623 | − | 22.7977i | 0.499274 | − | 0.864767i | |||||
0 | 0 | |||||||||
−9.00000 | −0.340899 | |||||||||
2.67544 | − | 4.63401i | 0.101267 | − | 0.175400i | |||||
0 | 0 | |||||||||
−19.4868 | − | 33.7522i | −0.736533 | − | 1.27571i | |||||
18.0000 | 0.679851 | 0.339925 | − | 0.940452i | ||||||
0.339925 | + | 0.940452i | ||||||||
0 | 0 | |||||||||
−19.8114 | −0.747201 | |||||||||
0.581139 | + | 1.00656i | 0.0219025 | + | 0.0379362i | |||||
0 | 0 | |||||||||
−14.6623 | + | 25.3958i | −0.551822 | + | 0.955784i | |||||
24.7851 | 0.932138 | |||||||||
0 | 0 | |||||||||
−22.7302 | + | 39.3699i | −0.853652 | + | 1.47857i | 0.0242371 | + | 0.999706i | ||
−0.877890 | + | 0.478863i | ||||||||
−29.8114 | −1.11880 | |||||||||
0 | 0 | |||||||||
−6.00000 | − | 10.3923i | −0.224860 | − | 0.389468i | |||||
22.6491 | + | 39.2294i | 0.848216 | + | 1.46915i | |||||
0 | 0 | |||||||||
−14.9057 | + | 9.05906i | −0.557441 | + | 0.338790i | |||||
15.4868 | 0.578770 | |||||||||
0 | 0 | |||||||||
−14.2302 | − | 24.6475i | −0.531068 | − | 0.919837i | |||||
19.1623 | − | 33.1900i | 0.714632 | − | 1.23778i | −0.248469 | − | 0.968640i | ||
0.963101 | − | 0.269140i | ||||||||
0 | 0 | |||||||||
25.0000 | − | 43.3013i | 0.931049 | − | 1.61262i | |||||
−3.82456 | + | 6.62432i | −0.142335 | + | 0.246532i | |||||
0 | 0 | |||||||||
−1.91886 | + | 3.32357i | −0.0713139 | + | 0.123519i | |||||
11.3246 | + | 19.6147i | 0.420583 | + | 0.728472i | |||||
0 | 0 | |||||||||
−8.83772 | −0.327773 | −0.163886 | − | 0.986479i | ||||||
−0.163886 | + | 0.986479i | ||||||||
−10.0000 | − | 5.47723i | −0.370625 | − | 0.202999i | |||||
0 | 0 | |||||||||
2.08114 | + | 3.60464i | 0.0770264 | + | 0.133414i | |||||
13.7434 | + | 23.8043i | 0.508319 | + | 0.880434i | |||||
0 | 0 | |||||||||
21.4605 | 0.792662 | 0.396331 | − | 0.918108i | ||||||
0.396331 | + | 0.918108i | ||||||||
12.7434 | − | 22.0722i | 0.470368 | − | 0.814701i | |||||
0 | 0 | |||||||||
7.16228 | 0.264005 | |||||||||
−1.64911 | + | 2.85634i | −0.0607458 | + | 0.105215i | |||||
0 | 0 | |||||||||
19.8114 | + | 34.3143i | 0.728774 | + | 1.26227i | 0.957402 | + | 0.288759i | ||
−0.228628 | + | 0.973514i | ||||||||
15.9737 | 0.587204 | |||||||||
0 | 0 | |||||||||
−39.4868 | −1.44961 | |||||||||
−1.16228 | − | 2.01312i | −0.0426398 | − | 0.0738544i | 0.843918 | − | 0.536472i | ||
−0.886558 | + | 0.462618i | ||||||||
0 | 0 | |||||||||
−1.01317 | + | 1.75486i | −0.0371196 | + | 0.0642930i | |||||
−16.4868 | −0.603626 | |||||||||
0 | 0 | |||||||||
−1.74342 | + | 3.01969i | −0.0637456 | + | 0.110411i | |||||
−56.3246 | −2.05805 | |||||||||
0 | 0 | |||||||||
−19.3925 | − | 33.5888i | −0.707643 | − | 1.22567i | −0.965729 | − | 0.259552i | ||
0.258086 | − | 0.966122i | ||||||||
−2.41886 | − | 4.18959i | −0.0882068 | − | 0.152779i | |||||
0 | 0 | |||||||||
5.81139 | + | 3.18303i | 0.211638 | + | 0.115919i | |||||
3.48683 | 0.126899 | |||||||||
0 | 0 | |||||||||
13.3246 | + | 23.0788i | 0.484289 | + | 0.838814i | 0.999837 | − | 0.0180472i | ||
−0.515548 | + | 0.856861i | ||||||||
−8.83772 | + | 15.3074i | −0.321001 | + | 0.555989i | |||||
0 | 0 | |||||||||
10.7434 | − | 18.6081i | 0.389705 | − | 0.674988i | |||||
6.00000 | − | 10.3923i | 0.217500 | − | 0.376721i | −0.736543 | − | 0.676391i | ||
0.954043 | + | 0.299670i | ||||||||
0 | 0 | |||||||||
−10.5132 | + | 18.2093i | −0.380602 | + | 0.659222i | |||||
−7.16228 | − | 12.4054i | −0.259122 | − | 0.448813i | |||||
0 | 0 | |||||||||
30.9737 | 1.11912 | |||||||||
7.35089 | + | 4.02625i | 0.265425 | + | 0.145379i | |||||
0 | 0 | |||||||||
−1.67544 | − | 2.90196i | −0.0604181 | − | 0.104647i | 0.834234 | − | 0.551410i | ||
−0.894652 | + | 0.446763i | ||||||||
7.64911 | + | 13.2486i | 0.275655 | + | 0.477448i | |||||
0 | 0 | |||||||||
−19.9737 | −0.718868 | |||||||||
−11.3246 | + | 19.6147i | −0.407316 | + | 0.705492i | −0.994588 | − | 0.103898i | ||
0.587272 | + | 0.809390i | ||||||||
0 | 0 | |||||||||
−77.9473 | −2.79995 | |||||||||
2.00000 | − | 3.46410i | 0.0717958 | − | 0.124354i | |||||
0 | 0 | |||||||||
−6.24342 | − | 10.8139i | −0.223837 | − | 0.387698i | |||||
−15.4868 | −0.554873 | |||||||||
0 | 0 | |||||||||
8.32456 | 0.297876 | |||||||||
10.7434 | + | 18.6081i | 0.384184 | + | 0.665426i | |||||
0 | 0 | |||||||||
−1.50000 | + | 2.59808i | −0.0535714 | + | 0.0927884i | |||||
−43.6491 | −1.55790 | |||||||||
0 | 0 | |||||||||
4.51317 | − | 7.81703i | 0.160877 | − | 0.278647i | −0.774306 | − | 0.632811i | ||
0.935183 | + | 0.354164i | ||||||||
18.9737 | 0.675909 | |||||||||
0 | 0 | |||||||||
8.32456 | + | 14.4186i | 0.296174 | + | 0.512989i | |||||
−10.5548 | − | 18.2815i | −0.375286 | − | 0.650014i | |||||
0 | 0 | |||||||||
−0.513167 | − | 0.281073i | −0.0182231 | − | 0.00998120i | |||||
26.0000 | 0.922705 | |||||||||
0 | 0 | |||||||||
3.25658 | + | 5.64057i | 0.115427 | + | 0.199925i | |||||
9.48683 | − | 16.4317i | 0.336041 | − | 0.582040i | −0.647643 | − | 0.761944i | ||
0.983684 | + | 0.179904i | ||||||||
0 | 0 | |||||||||
7.25658 | − | 12.5688i | 0.256719 | − | 0.444651i | |||||
−6.16228 | + | 10.6734i | −0.217869 | + | 0.377361i | |||||
0 | 0 | |||||||||
7.50000 | − | 12.9904i | 0.264834 | − | 0.458706i | |||||
−0.581139 | − | 1.00656i | −0.0205079 | − | 0.0355208i | |||||
0 | 0 | |||||||||
94.2719 | 3.32265 | |||||||||
−19.4868 | + | 11.8433i | −0.686394 | + | 0.417162i | |||||
0 | 0 | |||||||||
−3.91886 | − | 6.78767i | −0.137865 | − | 0.238789i | |||||
−1.50000 | − | 2.59808i | −0.0527372 | − | 0.0913435i | 0.838452 | − | 0.544976i | ||
−0.891189 | + | 0.453632i | ||||||||
0 | 0 | |||||||||
1.02633 | 0.0360395 | 0.0180197 | − | 0.999838i | ||||||
0.0180197 | + | 0.999838i | ||||||||
2.90569 | − | 5.03281i | 0.101970 | − | 0.176617i | |||||
0 | 0 | |||||||||
−4.46050 | −0.156340 | |||||||||
33.2982 | − | 57.6742i | 1.16639 | − | 2.02024i | |||||
0 | 0 | |||||||||
23.6491 | + | 40.9615i | 0.827378 | + | 1.43306i | |||||
14.6754 | 0.513115 | |||||||||
0 | 0 | |||||||||
12.4868 | 0.436059 | |||||||||
−5.32456 | − | 9.22240i | −0.185828 | − | 0.321864i | 0.758027 | − | 0.652223i | ||
−0.943855 | + | 0.330359i | ||||||||
0 | 0 | |||||||||
−26.6491 | + | 46.1576i | −0.928930 | + | 1.60895i | −0.143813 | + | 0.989605i | ||
−0.785116 | + | 0.619348i | ||||||||
−15.8114 | −0.550816 | |||||||||
0 | 0 | |||||||||
3.67544 | − | 6.36606i | 0.127885 | − | 0.221503i | |||||
−6.97367 | −0.242498 | −0.121249 | − | 0.992622i | ||||||
−0.121249 | + | 0.992622i | ||||||||
0 | 0 | |||||||||
−6.08114 | − | 10.5328i | −0.211207 | − | 0.365821i | 0.740886 | − | 0.671631i | ||
−0.952092 | + | 0.305810i | ||||||||
7.25658 | + | 12.5688i | 0.251880 | + | 0.436268i | |||||
0 | 0 | |||||||||
0.0811388 | + | 3.60464i | 0.00281298 | + | 0.124968i | |||||
−9.00000 | −0.311832 | |||||||||
0 | 0 | |||||||||
−24.9737 | − | 43.2557i | −0.864249 | − | 1.49692i | |||||
−3.00000 | + | 5.19615i | −0.103757 | + | 0.179713i | |||||
0 | 0 | |||||||||
15.4868 | − | 26.8240i | 0.534984 | − | 0.926619i | |||||
−2.32456 | + | 4.02625i | −0.0802526 | + | 0.139002i | −0.903358 | − | 0.428887i | ||
0.823106 | + | 0.567888i | ||||||||
0 | 0 | |||||||||
12.8114 | − | 22.1900i | 0.441772 | − | 0.765172i | |||||
11.9189 | + | 20.6441i | 0.410751 | + | 0.711442i | |||||
0 | 0 | |||||||||
−4.00000 | −0.137686 | |||||||||
−54.0548 | + | 2.43473i | −1.85954 | + | 0.0837574i | |||||
0 | 0 | |||||||||
15.2566 | + | 26.4252i | 0.524222 | + | 0.907980i | |||||
6.24342 | + | 10.8139i | 0.214400 | + | 0.371351i | |||||
0 | 0 | |||||||||
−36.9737 | −1.26819 | |||||||||
−13.7434 | + | 23.8043i | −0.471118 | + | 0.816001i | |||||
0 | 0 | |||||||||
55.1359 | 1.88782 | 0.943909 | − | 0.330205i | ||||||
0.943909 | + | 0.330205i | ||||||||
−0.256584 | + | 0.444416i | −0.00878011 | + | 0.0152076i | |||||
0 | 0 | |||||||||
8.90569 | + | 15.4251i | 0.304390 | + | 0.527220i | |||||
−25.6491 | −0.876157 | −0.438078 | − | 0.898937i | ||||||
−0.438078 | + | 0.898937i | ||||||||
0 | 0 | |||||||||
28.5132 | 0.972857 | 0.486428 | − | 0.873720i | ||||||
0.486428 | + | 0.873720i | ||||||||
−19.0680 | − | 33.0267i | −0.650212 | − | 1.12620i | |||||
0 | 0 | |||||||||
4.74342 | − | 8.21584i | 0.161561 | − | 0.279833i | |||||
47.8114 | 1.62752 | 0.813759 | − | 0.581202i | ||||||
0.813759 | + | 0.581202i | ||||||||
0 | 0 | |||||||||
−47.1359 | + | 81.6418i | −1.60267 | + | 2.77591i | |||||
−9.32456 | −0.316861 | |||||||||
0 | 0 | |||||||||
10.0000 | + | 17.3205i | 0.339422 | + | 0.587896i | |||||
−2.32456 | − | 4.02625i | −0.0788551 | − | 0.136581i | |||||
0 | 0 | |||||||||
−8.74342 | + | 5.31388i | −0.296259 | + | 0.180054i | |||||
6.64911 | 0.225167 | |||||||||
0 | 0 | |||||||||
18.4868 | + | 32.0201i | 0.625326 | + | 1.08310i | |||||
−48.2039 | + | 83.4916i | −1.62959 | + | 2.82253i | |||||
0 | 0 | |||||||||
22.5680 | − | 39.0889i | 0.762066 | − | 1.31994i | −0.179717 | − | 0.983718i | ||
0.941784 | − | 0.336219i | ||||||||
12.7434 | − | 22.0722i | 0.430069 | − | 0.744902i | |||||
0 | 0 | |||||||||
2.41886 | − | 4.18959i | 0.0815398 | − | 0.141231i | |||||
−4.98683 | − | 8.63745i | −0.168011 | − | 0.291003i | 0.769710 | − | 0.638394i | ||
−0.937720 | + | 0.347391i | ||||||||
0 | 0 | |||||||||
−11.3509 | −0.381988 | −0.190994 | − | 0.981591i | ||||||
−0.190994 | + | 0.981591i | ||||||||
−9.24342 | + | 5.61776i | −0.310890 | + | 0.188946i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−19.1623 | − | 33.1900i | −0.643406 | − | 1.11441i | −0.984667 | − | 0.174444i | ||
0.341261 | − | 0.939969i | ||||||||
0 | 0 | |||||||||
−57.9473 | −1.94349 | |||||||||
−24.9737 | + | 43.2557i | −0.837119 | + | 1.44993i | |||||
0 | 0 | |||||||||
−1.67544 | −0.0560980 | |||||||||
12.4868 | − | 21.6278i | 0.417856 | − | 0.723748i | |||||
0 | 0 | |||||||||
−32.2302 | − | 55.8244i | −1.07734 | − | 1.86600i | |||||
3.16228 | 0.105644 | |||||||||
0 | 0 | |||||||||
7.35089 | 0.245302 | |||||||||
−5.81139 | − | 10.0656i | −0.193821 | − | 0.335707i | |||||
0 | 0 | |||||||||
−18.7302 | + | 32.4417i | −0.623995 | + | 1.08079i | |||||
−3.48683 | −0.116099 | |||||||||
0 | 0 | |||||||||
−3.33772 | + | 5.78110i | −0.111011 | + | 0.192277i | |||||
15.9737 | 0.530983 | |||||||||
0 | 0 | |||||||||
−18.1359 | − | 31.4124i | −0.602194 | − | 1.04303i | −0.992488 | − | 0.122341i | ||
0.390294 | − | 0.920690i | ||||||||
7.74342 | + | 13.4120i | 0.256974 | + | 0.445093i | |||||
0 | 0 | |||||||||
1.06797 | + | 47.4452i | 0.0354029 | + | 1.57279i | |||||
−49.9473 | −1.65483 | −0.827414 | − | 0.561592i | ||||||
−0.827414 | + | 0.561592i | ||||||||
0 | 0 | |||||||||
−2.02633 | − | 3.50971i | −0.0670619 | − | 0.116155i | |||||
1.66228 | − | 2.87915i | 0.0549833 | − | 0.0952338i | |||||
0 | 0 | |||||||||
−11.1623 | + | 19.3336i | −0.368812 | + | 0.638801i | |||||
−26.3246 | + | 45.5955i | −0.869313 | + | 1.50569i | |||||
0 | 0 | |||||||||
−1.67544 | + | 2.90196i | −0.0552678 | + | 0.0957267i | −0.892336 | − | 0.451372i | ||
0.837068 | + | 0.547099i | ||||||||
−14.9057 | − | 25.8174i | −0.491426 | − | 0.851175i | |||||
0 | 0 | |||||||||
18.4868 | 0.608831 | |||||||||
22.6491 | + | 12.4054i | 0.745505 | + | 0.408330i | |||||
0 | 0 | |||||||||
−23.6491 | − | 40.9615i | −0.777578 | − | 1.34680i | |||||
−7.58114 | − | 13.1309i | −0.249132 | − | 0.431509i | |||||
0 | 0 | |||||||||
−1.83772 | −0.0603262 | |||||||||
−14.4737 | + | 25.0691i | −0.474866 | + | 0.822491i | −0.999586 | − | 0.0287835i | ||
0.524720 | + | 0.851275i | ||||||||
0 | 0 | |||||||||
−15.4868 | −0.507560 | |||||||||
8.32456 | − | 14.4186i | 0.272680 | − | 0.472295i | |||||
0 | 0 | |||||||||
−3.09431 | − | 5.35949i | −0.101249 | − | 0.175368i | |||||
14.5132 | 0.474631 | |||||||||
0 | 0 | |||||||||
14.2982 | 0.467103 | 0.233551 | − | 0.972344i | ||||||
0.233551 | + | 0.972344i | ||||||||
4.48683 | + | 7.77142i | 0.146500 | + | 0.253746i | |||||
0 | 0 | |||||||||
−10.0680 | + | 17.4382i | −0.328381 | + | 0.568773i | |||||
−48.5964 | −1.58420 | −0.792099 | − | 0.610392i | ||||||
−0.792099 | + | 0.610392i | ||||||||
0 | 0 | |||||||||
−10.7434 | + | 18.6081i | −0.349854 | + | 0.605965i | |||||
−2.32456 | −0.0756578 | |||||||||
0 | 0 | |||||||||
5.32456 | + | 9.22240i | 0.173116 | + | 0.299846i | |||||
−9.48683 | − | 16.4317i | −0.308281 | − | 0.533958i | 0.669706 | − | 0.742627i | ||
−0.977986 | + | 0.208669i | ||||||||
0 | 0 | |||||||||
−0.0811388 | − | 3.60464i | −0.00263388 | − | 0.117012i | |||||
−63.6228 | −2.06420 | |||||||||
0 | 0 | |||||||||
4.74342 | + | 8.21584i | 0.153735 | + | 0.266277i | |||||
13.6491 | − | 23.6410i | 0.442138 | − | 0.765806i | −0.555710 | − | 0.831376i | ||
0.997848 | + | 0.0655707i | ||||||||
0 | 0 | |||||||||
−29.8114 | + | 51.6348i | −0.964674 | + | 1.67086i | |||||
10.7434 | − | 18.6081i | 0.347467 | − | 0.601830i | |||||
0 | 0 | |||||||||
12.0000 | − | 20.7846i | 0.387702 | − | 0.671520i | |||||
4.74342 | + | 8.21584i | 0.153173 | + | 0.265303i | |||||
0 | 0 | |||||||||
9.00000 | 0.290323 | |||||||||
−12.1359 | − | 6.64713i | −0.391279 | − | 0.214312i | |||||
0 | 0 | |||||||||
−6.66228 | − | 11.5394i | −0.214578 | − | 0.371659i | |||||
41.5680 | + | 71.9978i | 1.33812 | + | 2.31769i | |||||
0 | 0 | |||||||||
34.5132 | 1.10987 | 0.554934 | − | 0.831894i | ||||||
0.554934 | + | 0.831894i | ||||||||
4.82456 | − | 8.35637i | 0.155067 | − | 0.268584i | |||||
0 | 0 | |||||||||
−16.6491 | −0.534571 | |||||||||
9.48683 | − | 16.4317i | 0.304447 | − | 0.527318i | −0.672691 | − | 0.739923i | ||
0.977138 | + | 0.212606i | ||||||||
0 | 0 | |||||||||
10.0000 | + | 17.3205i | 0.320585 | + | 0.555270i | |||||
−13.4868 | −0.432146 | |||||||||
0 | 0 | |||||||||
0.162278 | 0.00519438 | |||||||||
−10.5000 | − | 18.1865i | −0.335925 | − | 0.581839i | 0.647737 | − | 0.761864i | ||
−0.983662 | + | 0.180025i | ||||||||
0 | 0 | |||||||||
6.97367 | − | 12.0787i | 0.222879 | − | 0.386038i | |||||
12.4868 | 0.398877 | |||||||||
0 | 0 | |||||||||
−2.90569 | + | 5.03281i | −0.0927244 | + | 0.160603i | |||||
23.6228 | 0.753450 | 0.376725 | − | 0.926325i | ||||||
0.376725 | + | 0.926325i | ||||||||
0 | 0 | |||||||||
−39.4868 | − | 68.3932i | −1.25816 | − | 2.17919i | |||||
−2.75658 | − | 4.77454i | −0.0877875 | − | 0.152052i | |||||
0 | 0 | |||||||||
−15.9057 | + | 9.66682i | −0.506028 | + | 0.307542i | |||||
65.6228 | 2.08668 | |||||||||
0 | 0 | |||||||||
−13.3925 | − | 23.1965i | −0.425428 | − | 0.736862i | 0.571033 | − | 0.820927i | ||
−0.996460 | + | 0.0840651i | ||||||||
3.16228 | − | 5.47723i | 0.100402 | − | 0.173902i | |||||
0 | 0 | |||||||||
11.3246 | − | 19.6147i | 0.359193 | − | 0.622141i | |||||
13.5548 | − | 23.4776i | 0.429716 | − | 0.744290i | |||||
0 | 0 | |||||||||
29.7302 | − | 51.4943i | 0.941566 | − | 1.63084i | 0.179082 | − | 0.983834i | ||
0.762484 | − | 0.647007i | ||||||||
−6.32456 | − | 10.9545i | −0.200200 | − | 0.346757i | |||||
0 | 0 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 234.2.h.d.55.2 | ✓ | 4 | |
3.2 | odd | 2 | 234.2.h.e.55.1 | yes | 4 | ||
4.3 | odd | 2 | 1872.2.t.p.289.2 | 4 | |||
12.11 | even | 2 | 1872.2.t.n.289.1 | 4 | |||
13.2 | odd | 12 | 3042.2.b.k.1351.1 | 4 | |||
13.3 | even | 3 | 3042.2.a.w.1.2 | 2 | |||
13.9 | even | 3 | inner | 234.2.h.d.217.2 | yes | 4 | |
13.10 | even | 6 | 3042.2.a.q.1.1 | 2 | |||
13.11 | odd | 12 | 3042.2.b.k.1351.4 | 4 | |||
39.2 | even | 12 | 3042.2.b.j.1351.4 | 4 | |||
39.11 | even | 12 | 3042.2.b.j.1351.1 | 4 | |||
39.23 | odd | 6 | 3042.2.a.x.1.2 | 2 | |||
39.29 | odd | 6 | 3042.2.a.r.1.1 | 2 | |||
39.35 | odd | 6 | 234.2.h.e.217.1 | yes | 4 | ||
52.35 | odd | 6 | 1872.2.t.p.1153.2 | 4 | |||
156.35 | even | 6 | 1872.2.t.n.1153.1 | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
234.2.h.d.55.2 | ✓ | 4 | 1.1 | even | 1 | trivial | |
234.2.h.d.217.2 | yes | 4 | 13.9 | even | 3 | inner | |
234.2.h.e.55.1 | yes | 4 | 3.2 | odd | 2 | ||
234.2.h.e.217.1 | yes | 4 | 39.35 | odd | 6 | ||
1872.2.t.n.289.1 | 4 | 12.11 | even | 2 | |||
1872.2.t.n.1153.1 | 4 | 156.35 | even | 6 | |||
1872.2.t.p.289.2 | 4 | 4.3 | odd | 2 | |||
1872.2.t.p.1153.2 | 4 | 52.35 | odd | 6 | |||
3042.2.a.q.1.1 | 2 | 13.10 | even | 6 | |||
3042.2.a.r.1.1 | 2 | 39.29 | odd | 6 | |||
3042.2.a.w.1.2 | 2 | 13.3 | even | 3 | |||
3042.2.a.x.1.2 | 2 | 39.23 | odd | 6 | |||
3042.2.b.j.1351.1 | 4 | 39.11 | even | 12 | |||
3042.2.b.j.1351.4 | 4 | 39.2 | even | 12 | |||
3042.2.b.k.1351.1 | 4 | 13.2 | odd | 12 | |||
3042.2.b.k.1351.4 | 4 | 13.11 | odd | 12 |