Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [450,2,Mod(91,450)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(450, base_ring=CyclotomicField(10))
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("450.91");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 450.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: | 8.0.58140625.2 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
|
Coefficient ring: | |
Coefficient ring index: | |
Twist minimal: | no (minimal twist has level 50) |
Sato-Tate group: |
Embedding invariants
Embedding label | 361.1 | ||
Root | of defining polynomial | ||
Character | 450.361 | ||
Dual form | 450.2.h.e.91.1 |
-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
0.809017 | − | 0.587785i | 0.572061 | − | 0.415627i | |||||
0 | 0 | |||||||||
0.309017 | − | 0.951057i | 0.154508 | − | 0.475528i | |||||
−2.02373 | − | 0.951057i | −0.905040 | − | 0.425325i | |||||
0 | 0 | |||||||||
−2.77447 | −1.04865 | −0.524325 | − | 0.851518i | ||||||
−0.524325 | + | 0.851518i | ||||||||
−0.309017 | − | 0.951057i | −0.109254 | − | 0.336249i | |||||
0 | 0 | |||||||||
−2.19625 | + | 0.420099i | −0.694515 | + | 0.132847i | |||||
2.24459 | − | 1.63079i | 0.676770 | − | 0.491702i | −0.195515 | − | 0.980701i | ||
0.872284 | + | 0.488999i | ||||||||
0 | 0 | |||||||||
−4.59343 | − | 3.33732i | −1.27399 | − | 0.925606i | −0.274633 | − | 0.961549i | ||
−0.999354 | + | 0.0359433i | ||||||||
−2.24459 | + | 1.63079i | −0.599892 | + | 0.435847i | |||||
0 | 0 | |||||||||
−0.809017 | − | 0.587785i | −0.202254 | − | 0.146946i | |||||
−1.59343 | − | 4.90406i | −0.386462 | − | 1.18941i | −0.935414 | − | 0.353555i | ||
0.548951 | − | 0.835854i | ||||||||
0 | 0 | |||||||||
0.436451 | + | 1.34326i | 0.100129 | + | 0.308164i | 0.988556 | − | 0.150852i | ||
−0.888428 | + | 0.459017i | ||||||||
−1.52988 | + | 1.63079i | −0.342091 | + | 0.364656i | |||||
0 | 0 | |||||||||
0.857358 | − | 2.63868i | 0.182789 | − | 0.562567i | |||||
−0.529876 | + | 0.384978i | −0.110487 | + | 0.0802734i | −0.641657 | − | 0.766992i | ||
0.531170 | + | 0.847265i | ||||||||
0 | 0 | |||||||||
3.19098 | + | 3.84937i | 0.638197 | + | 0.769873i | |||||
−5.67779 | −1.11351 | |||||||||
0 | 0 | |||||||||
−0.857358 | + | 2.63868i | −0.162025 | + | 0.498663i | |||||
−1.26594 | + | 3.89618i | −0.235080 | + | 0.723502i | 0.762031 | + | 0.647541i | ||
−0.997111 | + | 0.0759609i | ||||||||
0 | 0 | |||||||||
−2.20239 | − | 6.77827i | −0.395562 | − | 1.21741i | −0.928523 | − | 0.371274i | ||
0.532961 | − | 0.846140i | ||||||||
−1.00000 | −0.176777 | |||||||||
0 | 0 | |||||||||
−4.17164 | − | 3.03088i | −0.715431 | − | 0.519791i | |||||
5.61478 | + | 2.63868i | 0.949071 | + | 0.446018i | |||||
0 | 0 | |||||||||
0.847416 | + | 0.615684i | 0.139314 | + | 0.101218i | 0.655260 | − | 0.755404i | ||
−0.515945 | + | 0.856622i | ||||||||
1.14264 | + | 0.830178i | 0.185361 | + | 0.134673i | |||||
0 | 0 | |||||||||
−0.279141 | + | 2.21858i | −0.0441361 | + | 0.350788i | |||||
7.36789 | + | 5.35309i | 1.15067 | + | 0.836012i | 0.988570 | − | 0.150762i | ||
0.162101 | + | 0.986774i | ||||||||
0 | 0 | |||||||||
9.24660 | 1.41009 | 0.705047 | − | 0.709161i | ||||||
0.705047 | + | 0.709161i | ||||||||
−0.857358 | − | 2.63868i | −0.129252 | − | 0.397795i | |||||
0 | 0 | |||||||||
−0.202395 | + | 0.622907i | −0.0298415 | + | 0.0918426i | |||||
0.857358 | − | 2.63868i | 0.125058 | − | 0.384890i | −0.868853 | − | 0.495070i | ||
0.993912 | + | 0.110179i | ||||||||
0 | 0 | |||||||||
0.697669 | 0.0996670 | |||||||||
4.84416 | + | 1.23859i | 0.685068 | + | 0.175163i | |||||
0 | 0 | |||||||||
−4.59343 | + | 3.33732i | −0.636994 | + | 0.462803i | |||||
0.162577 | − | 0.500362i | 0.0223317 | − | 0.0687299i | −0.939270 | − | 0.343180i | ||
0.961601 | + | 0.274450i | ||||||||
0 | 0 | |||||||||
−6.09343 | + | 1.16555i | −0.821637 | + | 0.157163i | |||||
0.857358 | + | 2.63868i | 0.114569 | + | 0.352608i | |||||
0 | 0 | |||||||||
1.26594 | + | 3.89618i | 0.166227 | + | 0.511593i | |||||
−3.05975 | − | 2.22304i | −0.398346 | − | 0.289415i | 0.370521 | − | 0.928824i | ||
−0.768867 | + | 0.639409i | ||||||||
0 | 0 | |||||||||
8.76365 | − | 6.36716i | 1.12207 | − | 0.815232i | 0.137549 | − | 0.990495i | ||
0.984522 | + | 0.175263i | ||||||||
−5.76594 | − | 4.18920i | −0.732276 | − | 0.532029i | |||||
0 | 0 | |||||||||
−0.809017 | + | 0.587785i | −0.101127 | + | 0.0734732i | |||||
6.12188 | + | 11.1224i | 0.759326 | + | 1.37957i | |||||
0 | 0 | |||||||||
−1.33600 | − | 4.11180i | −0.163219 | − | 0.502336i | 0.835682 | − | 0.549214i | ||
−0.998901 | + | 0.0468778i | ||||||||
−5.15643 | −0.625309 | |||||||||
0 | 0 | |||||||||
6.09343 | − | 1.16555i | 0.728304 | − | 0.139310i | |||||
4.09343 | − | 12.5983i | 0.485800 | − | 1.49514i | −0.345018 | − | 0.938596i | ||
0.830819 | − | 0.556543i | ||||||||
0 | 0 | |||||||||
−3.40859 | + | 2.47648i | −0.398945 | + | 0.289850i | −0.769111 | − | 0.639115i | ||
0.370166 | + | 0.928966i | ||||||||
1.04746 | 0.121765 | |||||||||
0 | 0 | |||||||||
1.41238 | 0.162012 | |||||||||
−6.22754 | + | 4.52458i | −0.709695 | + | 0.515623i | |||||
0 | 0 | |||||||||
−3.05975 | + | 9.41695i | −0.344249 | + | 1.05949i | 0.617736 | + | 0.786386i | ||
−0.961985 | + | 0.273104i | ||||||||
1.07822 | + | 1.95894i | 0.120548 | + | 0.219016i | |||||
0 | 0 | |||||||||
9.10722 | 1.00572 | |||||||||
−1.44497 | − | 4.44717i | −0.158606 | − | 0.488141i | 0.839902 | − | 0.542738i | ||
−0.998508 | + | 0.0545976i | ||||||||
0 | 0 | |||||||||
−1.43937 | + | 11.4399i | −0.156122 | + | 1.24084i | |||||
7.48066 | − | 5.43502i | 0.806660 | − | 0.586073i | |||||
0 | 0 | |||||||||
−2.24459 | − | 1.63079i | −0.239274 | − | 0.173843i | |||||
−7.43002 | + | 5.39823i | −0.787581 | + | 0.572211i | −0.907245 | − | 0.420603i | ||
0.119664 | + | 0.992814i | ||||||||
0 | 0 | |||||||||
12.7443 | + | 9.25928i | 1.33597 | + | 0.970637i | |||||
0.202395 | + | 0.622907i | 0.0211011 | + | 0.0649425i | |||||
0 | 0 | |||||||||
−0.857358 | − | 2.63868i | −0.0884297 | − | 0.272159i | |||||
0.394254 | − | 3.13348i | 0.0404496 | − | 0.321488i | |||||
0 | 0 | |||||||||
−0.0278640 | + | 0.0857567i | −0.00282917 | + | 0.00870727i | −0.952461 | − | 0.304660i | ||
0.949632 | + | 0.313367i | ||||||||
0.564426 | − | 0.410079i | 0.0570156 | − | 0.0414243i | |||||
0 | 0 | |||||||||
4.64703 | − | 1.84529i | 0.464703 | − | 0.184529i | |||||
7.90632 | 0.786709 | 0.393354 | − | 0.919387i | ||||||
0.393354 | + | 0.919387i | ||||||||
0 | 0 | |||||||||
2.42091 | − | 7.45079i | 0.238539 | − | 0.734148i | −0.758093 | − | 0.652146i | ||
0.996632 | − | 0.0820014i | ||||||||
−1.75453 | + | 5.39990i | −0.172046 | + | 0.529503i | |||||
0 | 0 | |||||||||
−0.162577 | − | 0.500362i | −0.0157909 | − | 0.0485994i | |||||
10.2220 | 0.988194 | 0.494097 | − | 0.869407i | ||||||
0.494097 | + | 0.869407i | ||||||||
0 | 0 | |||||||||
−3.16400 | − | 2.29878i | −0.303056 | − | 0.220183i | 0.425855 | − | 0.904791i | ||
−0.728911 | + | 0.684608i | ||||||||
−4.24459 | + | 4.52458i | −0.404706 | + | 0.431401i | |||||
0 | 0 | |||||||||
2.24459 | + | 1.63079i | 0.212094 | + | 0.154095i | |||||
−5.15785 | − | 3.74740i | −0.485210 | − | 0.352526i | 0.318129 | − | 0.948047i | ||
−0.803339 | + | 0.595522i | ||||||||
0 | 0 | |||||||||
1.43846 | − | 0.275149i | 0.134137 | − | 0.0256578i | |||||
3.31428 | + | 2.40797i | 0.307724 | + | 0.223574i | |||||
0 | 0 | |||||||||
−3.78206 | −0.348167 | |||||||||
4.42091 | + | 13.6062i | 0.405264 | + | 1.24727i | |||||
0 | 0 | |||||||||
−1.02048 | + | 3.14070i | −0.0927706 | + | 0.285519i | |||||
3.34742 | − | 10.3023i | 0.303061 | − | 0.932725i | |||||
0 | 0 | |||||||||
−7.12710 | −0.640032 | |||||||||
−2.79673 | − | 10.8249i | −0.250147 | − | 0.968208i | |||||
0 | 0 | |||||||||
−7.72525 | + | 5.61272i | −0.685505 | + | 0.498049i | −0.875179 | − | 0.483798i | ||
0.189674 | + | 0.981847i | ||||||||
−0.309017 | + | 0.951057i | −0.0273135 | + | 0.0840623i | |||||
0 | 0 | |||||||||
11.4903 | + | 5.39990i | 1.00777 | + | 0.473602i | |||||
−1.73026 | − | 5.32519i | −0.151173 | − | 0.465264i | 0.846580 | − | 0.532262i | ||
−0.997753 | + | 0.0669981i | ||||||||
0 | 0 | |||||||||
−1.21092 | − | 3.72682i | −0.105000 | − | 0.323156i | |||||
−3.49771 | − | 2.54123i | −0.302156 | − | 0.219529i | |||||
0 | 0 | |||||||||
−4.17164 | + | 3.03088i | −0.357715 | + | 0.259895i | |||||
6.45931 | + | 4.69296i | 0.551856 | + | 0.400947i | 0.828469 | − | 0.560035i | ||
−0.276613 | + | 0.960981i | ||||||||
0 | 0 | |||||||||
17.8699 | − | 12.9832i | 1.51571 | − | 1.10122i | 0.552140 | − | 0.833751i | ||
0.963565 | − | 0.267473i | ||||||||
4.24459 | − | 4.52458i | 0.358733 | − | 0.382396i | |||||
0 | 0 | |||||||||
−4.09343 | − | 12.5983i | −0.343513 | − | 1.05722i | |||||
−15.7528 | −1.31732 | |||||||||
0 | 0 | |||||||||
6.26741 | − | 6.68083i | 0.520480 | − | 0.554813i | |||||
−1.30196 | + | 4.00703i | −0.107751 | + | 0.331624i | |||||
0 | 0 | |||||||||
0.847416 | − | 0.615684i | 0.0696572 | − | 0.0506089i | |||||
−4.18401 | −0.342768 | −0.171384 | − | 0.985204i | ||||||
−0.171384 | + | 0.985204i | ||||||||
0 | 0 | |||||||||
−0.331561 | −0.0269821 | −0.0134910 | − | 0.999909i | ||||||
−0.0134910 | + | 0.999909i | ||||||||
1.14264 | − | 0.830178i | 0.0926805 | − | 0.0673364i | |||||
0 | 0 | |||||||||
−2.37871 | + | 7.32092i | −0.191682 | + | 0.589936i | |||||
−1.98946 | + | 15.8120i | −0.159798 | + | 1.27005i | |||||
0 | 0 | |||||||||
3.60750 | 0.287910 | 0.143955 | − | 0.989584i | ||||||
0.143955 | + | 0.989584i | ||||||||
3.05975 | + | 9.41695i | 0.243421 | + | 0.749172i | |||||
0 | 0 | |||||||||
2.02373 | + | 0.951057i | 0.159990 | + | 0.0751876i | |||||
1.47012 | − | 1.06811i | 0.115862 | − | 0.0841787i | |||||
0 | 0 | |||||||||
−4.12101 | − | 2.99409i | −0.322782 | − | 0.234515i | 0.414580 | − | 0.910013i | ||
−0.737362 | + | 0.675498i | ||||||||
7.36789 | − | 5.35309i | 0.575336 | − | 0.418006i | |||||
0 | 0 | |||||||||
−3.78299 | − | 2.74850i | −0.293617 | − | 0.213325i | |||||
−6.44699 | − | 19.8418i | −0.498883 | − | 1.53540i | −0.810817 | − | 0.585300i | ||
0.311934 | − | 0.950104i | ||||||||
0 | 0 | |||||||||
5.94464 | + | 18.2957i | 0.457280 | + | 1.40736i | |||||
5.55975 | + | 10.1011i | 0.426414 | + | 0.774723i | |||||
0 | 0 | |||||||||
2.85736 | − | 8.79404i | 0.217871 | − | 0.670539i | |||||
−9.69826 | + | 7.04620i | −0.737345 | + | 0.535713i | −0.891879 | − | 0.452275i | ||
0.154533 | + | 0.987988i | ||||||||
0 | 0 | |||||||||
−8.85328 | − | 10.6799i | −0.669245 | − | 0.807328i | |||||
−2.77447 | −0.209133 | |||||||||
0 | 0 | |||||||||
−2.83802 | + | 8.73452i | −0.212718 | + | 0.654680i | |||||
2.63942 | − | 8.12330i | 0.197279 | − | 0.607164i | −0.802663 | − | 0.596433i | ||
0.999942 | − | 0.0107309i | ||||||||
0 | 0 | |||||||||
2.41912 | + | 7.44529i | 0.179812 | + | 0.553404i | 0.999820 | − | 0.0189471i | ||
−0.820009 | + | 0.572351i | ||||||||
15.7528 | 1.16768 | |||||||||
0 | 0 | |||||||||
0.529876 | + | 0.384978i | 0.0390630 | + | 0.0283809i | |||||
−1.12939 | − | 2.05192i | −0.0830346 | − | 0.150860i | |||||
0 | 0 | |||||||||
−11.5741 | − | 8.40906i | −0.846381 | − | 0.614932i | |||||
−2.24459 | − | 1.63079i | −0.163704 | − | 0.118938i | |||||
0 | 0 | |||||||||
−1.52286 | − | 2.76678i | −0.110480 | − | 0.200723i | |||||
2.72324 | + | 1.97855i | 0.197047 | + | 0.143163i | 0.681934 | − | 0.731414i | ||
−0.484887 | + | 0.874577i | ||||||||
0 | 0 | |||||||||
−15.4211 | −1.11004 | −0.555018 | − | 0.831839i | ||||||
−0.555018 | + | 0.831839i | ||||||||
0.0278640 | + | 0.0857567i | 0.00200052 | + | 0.00615697i | |||||
0 | 0 | |||||||||
0.215591 | − | 0.663522i | 0.0153994 | − | 0.0473945i | |||||
−2.72086 | + | 8.37394i | −0.193853 | + | 0.596619i | 0.806135 | + | 0.591732i | ||
−0.999988 | + | 0.00488692i | ||||||||
0 | 0 | |||||||||
−17.6222 | −1.24920 | −0.624601 | − | 0.780944i | ||||||
−0.624601 | + | 0.780944i | ||||||||
2.67490 | − | 4.22433i | 0.189144 | − | 0.298705i | |||||
0 | 0 | |||||||||
6.39635 | − | 4.64722i | 0.450046 | − | 0.326977i | |||||
3.51232 | − | 10.8098i | 0.246517 | − | 0.758700i | |||||
0 | 0 | |||||||||
−9.81955 | − | 17.8405i | −0.685827 | − | 1.24603i | |||||
−2.42091 | − | 7.45079i | −0.168673 | − | 0.519121i | |||||
0 | 0 | |||||||||
1.75453 | + | 5.39990i | 0.121655 | + | 0.374415i | |||||
3.17022 | + | 2.30330i | 0.219289 | + | 0.159323i | |||||
0 | 0 | |||||||||
−4.93617 | + | 3.58634i | −0.339820 | + | 0.246894i | −0.744586 | − | 0.667527i | ||
0.404766 | + | 0.914420i | ||||||||
−0.425633 | − | 0.309240i | −0.0292326 | − | 0.0212387i | |||||
0 | 0 | |||||||||
8.26974 | − | 6.00832i | 0.565308 | − | 0.410720i | |||||
−18.7126 | − | 8.79404i | −1.27619 | − | 0.599749i | |||||
0 | 0 | |||||||||
6.11047 | + | 18.8061i | 0.414806 | + | 1.27664i | |||||
−3.91091 | −0.264880 | |||||||||
0 | 0 | |||||||||
−0.774467 | + | 6.15537i | −0.0522146 | + | 0.414995i | |||||
−9.04713 | + | 27.8442i | −0.608576 | + | 1.87300i | |||||
0 | 0 | |||||||||
4.06828 | − | 2.95578i | 0.272432 | − | 0.197933i | −0.443178 | − | 0.896434i | ||
0.715610 | + | 0.698500i | ||||||||
2.77447 | 0.185377 | |||||||||
0 | 0 | |||||||||
−6.37545 | −0.424089 | |||||||||
−14.4314 | + | 10.4851i | −0.957848 | + | 0.695918i | −0.952650 | − | 0.304069i | ||
−0.00519840 | + | 0.999986i | ||||||||
0 | 0 | |||||||||
−6.66137 | + | 20.5016i | −0.440195 | + | 1.35478i | 0.447472 | + | 0.894298i | ||
−0.887668 | + | 0.460485i | ||||||||
1.00201 | − | 1.06811i | 0.0660707 | − | 0.0704289i | |||||
0 | 0 | |||||||||
4.09668 | 0.268960 | |||||||||
−4.54454 | − | 13.9867i | −0.297723 | − | 0.916297i | −0.982293 | − | 0.187350i | ||
0.684570 | − | 0.728947i | ||||||||
0 | 0 | |||||||||
−4.24459 | + | 4.52458i | −0.276887 | + | 0.295151i | |||||
−3.05975 | + | 2.22304i | −0.199173 | + | 0.144708i | |||||
0 | 0 | |||||||||
11.5741 | + | 8.40906i | 0.750236 | + | 0.545079i | |||||
5.61478 | − | 4.07938i | 0.363190 | − | 0.263873i | −0.391192 | − | 0.920309i | ||
0.754381 | + | 0.656436i | ||||||||
0 | 0 | |||||||||
−2.67787 | − | 1.94559i | −0.172497 | − | 0.125326i | 0.498187 | − | 0.867070i | ||
−0.670684 | + | 0.741743i | ||||||||
1.02048 | + | 3.14070i | 0.0655987 | + | 0.201892i | |||||
0 | 0 | |||||||||
−3.34742 | − | 10.3023i | −0.214296 | − | 0.659536i | |||||
−1.41189 | − | 0.663522i | −0.0902026 | − | 0.0423909i | |||||
0 | 0 | |||||||||
2.47807 | − | 7.62672i | 0.157676 | − | 0.485277i | |||||
−5.76594 | + | 4.18920i | −0.366138 | + | 0.266015i | |||||
0 | 0 | |||||||||
−8.62531 | − | 7.11365i | −0.545513 | − | 0.449906i | |||||
9.46454 | 0.597397 | 0.298698 | − | 0.954348i | ||||||
0.298698 | + | 0.954348i | ||||||||
0 | 0 | |||||||||
−0.561537 | + | 1.72823i | −0.0353036 | + | 0.108653i | |||||
−2.95078 | + | 9.08158i | −0.185149 | + | 0.569829i | |||||
0 | 0 | |||||||||
0.309017 | + | 0.951057i | 0.0193136 | + | 0.0594410i | |||||
7.07963 | 0.441615 | 0.220808 | − | 0.975317i | ||||||
0.220808 | + | 0.975317i | ||||||||
0 | 0 | |||||||||
−2.35113 | − | 1.70820i | −0.146092 | − | 0.106142i | |||||
12.4698 | − | 2.38523i | 0.773347 | − | 0.147926i | |||||
0 | 0 | |||||||||
−4.52988 | − | 3.29115i | −0.279857 | − | 0.203328i | |||||
1.15969 | + | 0.842563i | 0.0715095 | + | 0.0519547i | 0.622966 | − | 0.782249i | ||
−0.551456 | + | 0.834204i | ||||||||
0 | 0 | |||||||||
−0.804885 | + | 0.857977i | −0.0494437 | + | 0.0527051i | |||||
−3.17022 | − | 2.30330i | −0.194379 | − | 0.141225i | |||||
0 | 0 | |||||||||
−4.32340 | −0.264094 | |||||||||
4.41368 | + | 13.5839i | 0.269107 | + | 0.828226i | 0.990719 | + | 0.135928i | ||
−0.721612 | + | 0.692298i | ||||||||
0 | 0 | |||||||||
9.51325 | − | 29.2788i | 0.577889 | − | 1.77856i | −0.0482363 | − | 0.998836i | ||
0.626125 | − | 0.779723i | ||||||||
−1.59343 | + | 4.90406i | −0.0966156 | + | 0.297352i | |||||
0 | 0 | |||||||||
7.98414 | 0.482340 | |||||||||
13.4400 | + | 3.43643i | 0.810460 | + | 0.207224i | |||||
0 | 0 | |||||||||
−2.58051 | + | 1.87485i | −0.155048 | + | 0.112649i | −0.662604 | − | 0.748970i | ||
0.507556 | + | 0.861619i | ||||||||
6.82570 | − | 21.0073i | 0.409378 | − | 1.25994i | |||||
0 | 0 | |||||||||
0.774467 | − | 6.15537i | 0.0462833 | − | 0.367854i | |||||
−6.30053 | − | 19.3910i | −0.375858 | − | 1.15677i | −0.942898 | − | 0.333081i | ||
0.567040 | − | 0.823690i | ||||||||
0 | 0 | |||||||||
−4.10897 | − | 12.6461i | −0.244253 | − | 0.751733i | −0.995758 | − | 0.0920063i | ||
0.751506 | − | 0.659727i | ||||||||
−10.7167 | − | 7.78616i | −0.635921 | − | 0.462023i | |||||
0 | 0 | |||||||||
−12.7443 | + | 9.25928i | −0.753587 | + | 0.547513i | |||||
−20.4420 | − | 14.8520i | −1.20665 | − | 0.876684i | |||||
0 | 0 | |||||||||
−7.75751 | + | 5.63616i | −0.456324 | + | 0.331539i | |||||
1.14355 | − | 9.08880i | 0.0671516 | − | 0.533713i | |||||
0 | 0 | |||||||||
1.30196 | + | 4.00703i | 0.0761917 | + | 0.234494i | |||||
26.0420 | 1.52139 | 0.760696 | − | 0.649108i | ||||||
0.760696 | + | 0.649108i | ||||||||
0 | 0 | |||||||||
4.07788 | + | 7.40883i | 0.237423 | + | 0.431359i | |||||
0.323684 | − | 0.996198i | 0.0188138 | − | 0.0579028i | |||||
0 | 0 | |||||||||
−3.38494 | + | 2.45930i | −0.196084 | + | 0.142464i | |||||
3.71874 | 0.215060 | |||||||||
0 | 0 | |||||||||
−25.6544 | −1.47869 | |||||||||
−0.268239 | + | 0.194887i | −0.0154354 | + | 0.0112145i | |||||
0 | 0 | |||||||||
0.436451 | − | 1.34326i | 0.0250322 | − | 0.0770411i | |||||
−23.7908 | + | 4.55071i | −1.36226 | + | 0.260573i | |||||
0 | 0 | |||||||||
25.1000 | 1.43253 | 0.716267 | − | 0.697826i | ||||||
0.716267 | + | 0.697826i | ||||||||
2.37871 | + | 7.32092i | 0.135540 | + | 0.417148i | |||||
0 | 0 | |||||||||
7.68456 | + | 13.9616i | 0.436453 | + | 0.792964i | |||||
0.585185 | − | 0.425162i | 0.0331828 | − | 0.0241087i | −0.571070 | − | 0.820901i | ||
0.604253 | + | 0.796792i | ||||||||
0 | 0 | |||||||||
−17.4879 | − | 12.7057i | −0.988477 | − | 0.718170i | −0.0288898 | − | 0.999583i | ||
−0.959587 | + | 0.281412i | ||||||||
2.91853 | − | 2.12043i | 0.164702 | − | 0.119663i | |||||
0 | 0 | |||||||||
8.01054 | + | 5.81999i | 0.450628 | + | 0.327400i | |||||
5.81992 | + | 17.9119i | 0.326879 | + | 1.00603i | 0.970585 | + | 0.240758i | ||
−0.643706 | + | 0.765273i | ||||||||
0 | 0 | |||||||||
3.51232 | + | 10.8098i | 0.196652 | + | 0.605233i | |||||
2.19625 | − | 0.420099i | 0.122774 | − | 0.0234842i | |||||
0 | 0 | |||||||||
0.561537 | − | 1.72823i | 0.0312933 | − | 0.0963107i | |||||
5.89196 | − | 4.28076i | 0.327837 | − | 0.238188i | |||||
0 | 0 | |||||||||
−1.81098 | − | 28.3311i | −0.100455 | − | 1.57153i | |||||
−5.09385 | −0.282122 | |||||||||
0 | 0 | |||||||||
2.81428 | − | 8.66148i | 0.155393 | − | 0.478250i | |||||
−2.37871 | + | 7.32092i | −0.131143 | + | 0.403615i | |||||
0 | 0 | |||||||||
5.21494 | + | 16.0499i | 0.286639 | + | 0.882185i | 0.985903 | + | 0.167320i | ||
−0.699263 | + | 0.714864i | ||||||||
−4.67603 | −0.256631 | |||||||||
0 | 0 | |||||||||
−16.8784 | − | 12.2629i | −0.923546 | − | 0.670996i | |||||
−1.20684 | + | 9.59180i | −0.0659366 | + | 0.524056i | |||||
0 | 0 | |||||||||
−15.6562 | − | 11.3749i | −0.852845 | − | 0.619628i | 0.0730841 | − | 0.997326i | ||
−0.925929 | + | 0.377698i | ||||||||
15.5633 | + | 11.3074i | 0.846530 | + | 0.615040i | |||||
0 | 0 | |||||||||
10.4352 | + | 4.90406i | 0.565930 | + | 0.265960i | |||||
−15.9974 | − | 11.6228i | −0.866309 | − | 0.629410i | |||||
0 | 0 | |||||||||
17.4856 | 0.944134 | |||||||||
−2.85736 | − | 8.79404i | −0.154058 | − | 0.474143i | |||||
0 | 0 | |||||||||
−3.70441 | + | 11.4010i | −0.199150 | + | 0.612921i | |||||
2.79311 | − | 8.59630i | 0.149942 | − | 0.461473i | −0.847672 | − | 0.530521i | ||
0.997613 | + | 0.0690480i | ||||||||
0 | 0 | |||||||||
36.7305 | 1.96614 | 0.983068 | − | 0.183240i | ||||||
0.983068 | + | 0.183240i | ||||||||
−13.4400 | − | 3.43643i | −0.718396 | − | 0.183685i | |||||
0 | 0 | |||||||||
−2.24459 | + | 1.63079i | −0.119637 | + | 0.0869214i | |||||
−5.67779 | + | 17.4744i | −0.302198 | + | 0.930070i | 0.678510 | + | 0.734591i | ||
−0.980708 | + | 0.195479i | ||||||||
0 | 0 | |||||||||
−20.2657 | + | 21.6024i | −1.07559 | + | 1.14654i | |||||
2.83802 | + | 8.73452i | 0.150415 | + | 0.462928i | |||||
0 | 0 | |||||||||
−2.63942 | − | 8.12330i | −0.139498 | − | 0.429330i | |||||
−19.7609 | − | 14.3572i | −1.04294 | − | 0.757742i | −0.0720846 | − | 0.997399i | ||
−0.970858 | + | 0.239657i | ||||||||
0 | 0 | |||||||||
13.7575 | − | 9.99539i | 0.724078 | − | 0.526073i | |||||
6.33334 | + | 4.60144i | 0.332873 | + | 0.241846i | |||||
0 | 0 | |||||||||
12.7443 | − | 9.25928i | 0.667983 | − | 0.485318i | |||||
9.25334 | − | 1.76998i | 0.484342 | − | 0.0926450i | |||||
0 | 0 | |||||||||
4.48768 | + | 13.8117i | 0.234255 | + | 0.720963i | 0.997219 | + | 0.0745221i | ||
−0.762964 | + | 0.646441i | ||||||||
0.654963 | 0.0341423 | |||||||||
0 | 0 | |||||||||
−2.11979 | − | 0.996198i | −0.110202 | − | 0.0517898i | |||||
−0.451065 | + | 1.38824i | −0.0234182 | + | 0.0720737i | |||||
0 | 0 | |||||||||
18.8410 | − | 13.6888i | 0.975549 | − | 0.708778i | 0.0188399 | − | 0.999823i | ||
0.956710 | + | 0.291044i | ||||||||
−14.3064 | −0.739764 | |||||||||
0 | 0 | |||||||||
−2.77447 | −0.143082 | |||||||||
18.8178 | − | 13.6719i | 0.969166 | − | 0.704140i | |||||
0 | 0 | |||||||||
8.84332 | − | 27.2169i | 0.454251 | − | 1.39804i | −0.417762 | − | 0.908556i | ||
0.872013 | − | 0.489483i | ||||||||
−2.85829 | − | 1.34326i | −0.146627 | − | 0.0689076i | |||||
0 | 0 | |||||||||
3.36611 | 0.172225 | |||||||||
5.13454 | + | 15.8025i | 0.262363 | + | 0.807469i | 0.992289 | + | 0.123944i | ||
−0.729927 | + | 0.683526i | ||||||||
0 | 0 | |||||||||
16.9060 | − | 3.23378i | 0.861610 | − | 0.164809i | |||||
−12.4759 | + | 9.06430i | −0.635008 | + | 0.461361i | |||||
0 | 0 | |||||||||
0.0729490 | + | 0.0530006i | 0.00370343 | + | 0.00269070i | |||||
21.3392 | − | 15.5039i | 1.08194 | − | 0.786077i | 0.103922 | − | 0.994585i | ||
0.978021 | + | 0.208508i | ||||||||
0 | 0 | |||||||||
2.73227 | + | 1.98511i | 0.138177 | + | 0.100391i | |||||
−0.215591 | − | 0.663522i | −0.0108890 | − | 0.0335129i | |||||
0 | 0 | |||||||||
2.72086 | + | 8.37394i | 0.137075 | + | 0.421873i | |||||
15.1482 | − | 16.1474i | 0.762187 | − | 0.812463i | |||||
0 | 0 | |||||||||
−5.53406 | + | 17.0321i | −0.277747 | + | 0.854816i | 0.710733 | + | 0.703462i | ||
−0.988480 | + | 0.151354i | ||||||||
−14.2566 | + | 10.3580i | −0.714620 | + | 0.519202i | |||||
0 | 0 | |||||||||
−0.318958 | − | 4.98982i | −0.0159479 | − | 0.249491i | |||||
−32.0164 | −1.59882 | −0.799411 | − | 0.600785i | ||||||
−0.799411 | + | 0.600785i | ||||||||
0 | 0 | |||||||||
−12.5047 | + | 38.4856i | −0.622905 | + | 1.91710i | |||||
2.44319 | − | 7.51936i | 0.121553 | − | 0.374102i | |||||
0 | 0 | |||||||||
−3.51232 | − | 10.8098i | −0.174314 | − | 0.536482i | |||||
2.90615 | 0.144053 | |||||||||
0 | 0 | |||||||||
−14.5901 | − | 10.6003i | −0.721435 | − | 0.524153i | 0.165407 | − | 0.986225i | ||
−0.886842 | + | 0.462072i | ||||||||
−18.4306 | − | 8.66148i | −0.910221 | − | 0.427760i | |||||
0 | 0 | |||||||||
−6.33802 | − | 4.60484i | −0.312252 | − | 0.226864i | |||||
8.48918 | + | 6.16775i | 0.417725 | + | 0.303495i | |||||
0 | 0 | |||||||||
−1.30527 | + | 10.3741i | −0.0640733 | + | 0.509246i | |||||
4.59343 | + | 3.33732i | 0.225211 | + | 0.163626i | |||||
0 | 0 | |||||||||
3.91861 | 0.191666 | |||||||||
6.03511 | + | 18.5742i | 0.294834 | + | 0.907407i | 0.983277 | + | 0.182116i | ||
−0.688443 | + | 0.725291i | ||||||||
0 | 0 | |||||||||
−6.04242 | + | 18.5967i | −0.294490 | + | 0.906346i | 0.688903 | + | 0.724854i | ||
−0.983392 | + | 0.181492i | ||||||||
−1.88545 | + | 5.80281i | −0.0917822 | + | 0.282477i | |||||
0 | 0 | |||||||||
−0.526111 | −0.0255502 | |||||||||
13.7929 | − | 21.7825i | 0.669055 | − | 1.05660i | |||||
0 | 0 | |||||||||
−24.3145 | + | 17.6655i | −1.17666 | + | 0.854893i | |||||
3.15876 | − | 9.72166i | 0.152684 | − | 0.469914i | |||||
0 | 0 | |||||||||
−20.3079 | + | 3.88449i | −0.979332 | + | 0.187327i | |||||
6.55002 | + | 20.1589i | 0.315503 | + | 0.971019i | 0.975547 | + | 0.219792i | ||
−0.660044 | + | 0.751227i | ||||||||
0 | 0 | |||||||||
2.64199 | + | 8.13122i | 0.126966 | + | 0.390761i | 0.994254 | − | 0.107045i | ||
−0.867288 | + | 0.497807i | ||||||||
15.9974 | + | 11.6228i | 0.767901 | + | 0.557913i | |||||
0 | 0 | |||||||||
−3.16400 | + | 2.29878i | −0.151528 | + | 0.110091i | |||||
−0.748388 | − | 0.543736i | −0.0358003 | − | 0.0260104i | |||||
0 | 0 | |||||||||
22.7102 | − | 16.4999i | 1.08390 | − | 0.787499i | 0.105541 | − | 0.994415i | ||
0.978359 | + | 0.206916i | ||||||||
2.99148 | + | 5.43502i | 0.142613 | + | 0.259104i | |||||
0 | 0 | |||||||||
9.04713 | + | 27.8442i | 0.430328 | + | 1.32441i | |||||
33.0546 | 1.57047 | 0.785236 | − | 0.619197i | ||||||
0.785236 | + | 0.619197i | ||||||||
0 | 0 | |||||||||
20.1704 | − | 3.85820i | 0.956169 | − | 0.182896i | |||||
1.55394 | − | 4.78254i | 0.0735813 | − | 0.226460i | |||||
0 | 0 | |||||||||
2.24459 | − | 1.63079i | 0.106047 | − | 0.0770476i | |||||
37.1628 | 1.75382 | 0.876911 | − | 0.480652i | ||||||
0.876911 | + | 0.480652i | ||||||||
0 | 0 | |||||||||
25.2677 | 1.18981 | |||||||||
−5.15785 | + | 3.74740i | −0.242605 | + | 0.176263i | |||||
0 | 0 | |||||||||
−5.51232 | + | 16.9652i | −0.258706 | + | 0.796215i | |||||
−16.9850 | − | 30.8589i | −0.796267 | − | 1.44669i | |||||
0 | 0 | |||||||||
29.3139 | 1.37125 | 0.685624 | − | 0.727956i | ||||||
0.685624 | + | 0.727956i | ||||||||
6.66137 | + | 20.5016i | 0.311265 | + | 0.957976i | |||||
0 | 0 | |||||||||
0.182827 | − | 1.45309i | 0.00852435 | − | 0.0677504i | |||||
7.20624 | − | 5.23564i | 0.335628 | − | 0.243848i | −0.407187 | − | 0.913345i | ||
0.742815 | + | 0.669497i | ||||||||
0 | 0 | |||||||||
14.7865 | + | 10.7430i | 0.687187 | + | 0.499271i | 0.875734 | − | 0.482793i | ||
−0.188547 | + | 0.982064i | ||||||||
3.31428 | − | 2.40797i | 0.153862 | − | 0.111787i | |||||
0 | 0 | |||||||||
−11.8978 | − | 8.64424i | −0.551154 | − | 0.400436i | |||||
11.3360 | + | 34.8886i | 0.524568 | + | 1.61445i | 0.765169 | + | 0.643829i | ||
−0.240601 | + | 0.970624i | ||||||||
0 | 0 | |||||||||
3.70670 | + | 11.4081i | 0.171160 | + | 0.526775i | |||||
−0.774467 | + | 6.15537i | −0.0357235 | + | 0.283926i | |||||
0 | 0 | |||||||||
−1.16872 | + | 3.59695i | −0.0537948 | + | 0.165563i | |||||
20.7548 | − | 15.0793i | 0.954309 | − | 0.693346i | |||||
0 | 0 | |||||||||
−3.77798 | + | 5.96637i | −0.173346 | + | 0.273756i | |||||
14.3064 | 0.655731 | |||||||||
0 | 0 | |||||||||
2.14465 | − | 6.60057i | 0.0980942 | − | 0.301903i | |||||
3.89046 | − | 11.9736i | 0.177760 | − | 0.547088i | −0.821989 | − | 0.569503i | ||
0.999749 | + | 0.0224155i | ||||||||
0 | 0 | |||||||||
−1.83781 | − | 5.65620i | −0.0837969 | − | 0.257900i | |||||
−3.31003 | −0.150768 | |||||||||
0 | 0 | |||||||||
2.67164 | + | 1.94106i | 0.121438 | + | 0.0882301i | |||||
0.137949 | − | 0.147048i | 0.00626393 | − | 0.00667712i | |||||
0 | 0 | |||||||||
14.8257 | + | 10.7715i | 0.671816 | + | 0.488103i | 0.870633 | − | 0.491934i | ||
−0.198816 | + | 0.980037i | ||||||||
−8.76365 | − | 6.36716i | −0.396712 | − | 0.288228i | |||||
0 | 0 | |||||||||
−1.53226 | + | 0.293090i | −0.0692202 | + | 0.0132405i | |||||
17.5595 | + | 12.7577i | 0.792448 | + | 0.575747i | 0.908689 | − | 0.417474i | ||
−0.116241 | + | 0.993221i | ||||||||
0 | 0 | |||||||||
21.1243 | 0.951389 | |||||||||
−2.47807 | − | 7.62672i | −0.111494 | − | 0.343143i | |||||
0 | 0 | |||||||||
−2.20239 | + | 6.77827i | −0.0988904 | + | 0.304353i | |||||
−11.3571 | + | 34.9535i | −0.509434 | + | 1.56788i | |||||
0 | 0 | |||||||||
15.8391 | 0.709055 | 0.354527 | − | 0.935046i | ||||||
0.354527 | + | 0.935046i | ||||||||
−11.1593 | − | 0.685229i | −0.499060 | − | 0.0306444i | |||||
0 | 0 | |||||||||
7.65697 | − | 5.56312i | 0.341748 | − | 0.248294i | |||||
−8.51433 | + | 26.2044i | −0.379635 | + | 1.16840i | 0.560662 | + | 0.828044i | ||
−0.940298 | + | 0.340353i | ||||||||
0 | 0 | |||||||||
−16.0003 | − | 7.51936i | −0.712003 | − | 0.334607i | |||||
0.561537 | + | 1.72823i | 0.0249634 | + | 0.0768294i | |||||
0 | 0 | |||||||||
2.95078 | + | 9.08158i | 0.130920 | + | 0.402930i | |||||
−22.3386 | − | 16.2300i | −0.990142 | − | 0.719380i | −0.0301894 | − | 0.999544i | ||
−0.959952 | + | 0.280164i | ||||||||
0 | 0 | |||||||||
9.45701 | − | 6.87092i | 0.418354 | − | 0.303952i | |||||
0.809017 | + | 0.587785i | 0.0357538 | + | 0.0259767i | |||||
0 | 0 | |||||||||
5.72754 | − | 4.16130i | 0.252631 | − | 0.183547i | |||||
−11.9854 | + | 12.7760i | −0.528139 | + | 0.562977i | |||||
0 | 0 | |||||||||
−2.37871 | − | 7.32092i | −0.104616 | − | 0.321974i | |||||
−2.90615 | −0.127689 | |||||||||
0 | 0 | |||||||||
8.68631 | − | 9.25928i | 0.380920 | − | 0.406046i | |||||
−5.28084 | + | 16.2527i | −0.231358 | + | 0.712046i | 0.766226 | + | 0.642571i | ||
−0.997584 | + | 0.0694747i | ||||||||
0 | 0 | |||||||||
−29.3796 | + | 21.3456i | −1.28468 | + | 0.933376i | −0.999684 | − | 0.0251516i | ||
−0.284999 | + | 0.958528i | ||||||||
−5.59923 | −0.244604 | |||||||||
0 | 0 | |||||||||
1.43345 | 0.0625016 | |||||||||
−29.7317 | + | 21.6013i | −1.29513 | + | 0.940970i | |||||
0 | 0 | |||||||||
−6.97483 | + | 21.4663i | −0.303253 | + | 0.933318i | |||||
−0.146859 | + | 1.16722i | −0.00637915 | + | 0.0507007i | |||||
0 | 0 | |||||||||
−3.91861 | −0.169893 | |||||||||
−15.9789 | − | 49.1780i | −0.692123 | − | 2.13014i | |||||
0 | 0 | |||||||||
−20.6865 | − | 9.72166i | −0.894356 | − | 0.420304i | |||||
−3.49771 | + | 2.54123i | −0.151078 | + | 0.109764i | |||||
0 | 0 | |||||||||
11.5552 | + | 8.39532i | 0.498178 | + | 0.361948i | |||||
1.56598 | − | 1.13775i | 0.0674516 | − | 0.0490064i | |||||
0 | 0 | |||||||||
−20.1742 | − | 14.6574i | −0.867355 | − | 0.630170i | 0.0625209 | − | 0.998044i | ||
−0.929876 | + | 0.367873i | ||||||||
−9.51325 | − | 29.2788i | −0.408629 | − | 1.25763i | |||||
0 | 0 | |||||||||
1.59343 | + | 4.90406i | 0.0683176 | + | 0.210260i | |||||
4.21681 | + | 7.66125i | 0.180628 | + | 0.328172i | |||||
0 | 0 | |||||||||
2.06176 | − | 6.34546i | 0.0881547 | − | 0.271312i | −0.897255 | − | 0.441513i | ||
0.985409 | + | 0.170201i | ||||||||
6.45931 | − | 4.69296i | 0.275928 | − | 0.200473i | |||||
0 | 0 | |||||||||
12.8930 | − | 5.11968i | 0.549761 | − | 0.218304i | |||||
−5.78609 | −0.246496 | |||||||||
0 | 0 | |||||||||
8.48918 | − | 26.1270i | 0.360997 | − | 1.11103i | |||||
−0.985668 | + | 3.03357i | −0.0418770 | + | 0.128884i | |||||
0 | 0 | |||||||||
−6.82570 | − | 21.0073i | −0.289474 | − | 0.890909i | |||||
20.4328 | 0.865765 | 0.432882 | − | 0.901450i | ||||||
0.432882 | + | 0.901450i | ||||||||
0 | 0 | |||||||||
−42.4736 | − | 30.8589i | −1.79644 | − | 1.30519i | |||||
−2.99148 | − | 5.43502i | −0.126413 | − | 0.229671i | |||||
0 | 0 | |||||||||
−16.4950 | − | 11.9843i | −0.695799 | − | 0.505528i | |||||
−0.487680 | − | 0.354320i | −0.0205532 | − | 0.0149328i | 0.577461 | − | 0.816418i | ||
−0.598014 | + | 0.801485i | ||||||||
0 | 0 | |||||||||
6.87412 | + | 12.4891i | 0.289196 | + | 0.525422i | |||||
−10.7574 | − | 7.81572i | −0.452168 | − | 0.328519i | |||||
0 | 0 | |||||||||
−13.2466 | −0.555815 | |||||||||
−10.4688 | − | 32.2195i | −0.438873 | − | 1.35071i | −0.889065 | − | 0.457781i | ||
0.450192 | − | 0.892932i | ||||||||
0 | 0 | |||||||||
−1.92521 | + | 5.92520i | −0.0805677 | + | 0.247962i | −0.983225 | − | 0.182399i | ||
0.902657 | + | 0.430361i | ||||||||
−4.86789 | + | 14.9818i | −0.203537 | + | 0.626422i | |||||
0 | 0 | |||||||||
−25.2677 | −1.05465 | |||||||||
−3.17275 | − | 0.811231i | −0.132313 | − | 0.0338307i | |||||
0 | 0 | |||||||||
−3.05893 | + | 2.22244i | −0.127345 | + | 0.0925214i | −0.649634 | − | 0.760247i | ||
0.522290 | + | 0.852768i | ||||||||
−2.96310 | + | 9.11949i | −0.123249 | + | 0.379321i | |||||
0 | 0 | |||||||||
−4.41711 | − | 8.02516i | −0.183410 | − | 0.333226i | |||||
4.00903 | + | 12.3385i | 0.166323 | + | 0.511889i | |||||
0 | 0 | |||||||||
−0.451065 | − | 1.38824i | −0.0186812 | − | 0.0574949i | |||||
3.40859 | + | 2.47648i | 0.141048 | + | 0.102478i | |||||
0 | 0 | |||||||||
21.0684 | − | 15.3071i | 0.870330 | − | 0.632332i | |||||
13.2296 | + | 9.61184i | 0.546042 | + | 0.396723i | 0.826324 | − | 0.563195i | ||
−0.280282 | + | 0.959918i | ||||||||
0 | 0 | |||||||||
8.14373 | − | 5.91676i | 0.335556 | − | 0.243796i | |||||
7.65388 | + | 3.59695i | 0.315105 | + | 0.148084i | |||||
0 | 0 | |||||||||
−0.323684 | − | 0.996198i | −0.0133033 | − | 0.0409435i | |||||
−9.53314 | −0.391479 | −0.195740 | − | 0.980656i | ||||||
−0.195740 | + | 0.980656i | ||||||||
0 | 0 | |||||||||
3.99349 | − | 31.7397i | 0.163717 | − | 1.30120i | |||||
−1.29293 | + | 3.97923i | −0.0529605 | + | 0.162996i | |||||
0 | 0 | |||||||||
3.00852 | − | 2.18582i | 0.123028 | − | 0.0893848i | |||||
16.0682 | 0.656528 | 0.328264 | − | 0.944586i | ||||||
0.328264 | + | 0.944586i | ||||||||
0 | 0 | |||||||||
15.0380 | 0.613413 | 0.306707 | − | 0.951804i | ||||||
0.306707 | + | 0.951804i | ||||||||
−20.7548 | + | 15.0793i | −0.845904 | + | 0.614585i | |||||
0 | 0 | |||||||||
−0.102458 | + | 0.315333i | −0.00416896 | + | 0.0128307i | |||||
5.05216 | − | 5.38541i | 0.205399 | − | 0.218948i | |||||
0 | 0 | |||||||||
−44.8348 | −1.81979 | −0.909894 | − | 0.414840i | ||||||
−0.909894 | + | 0.414840i | ||||||||
−0.436451 | − | 1.34326i | −0.0177004 | − | 0.0544763i | |||||
0 | 0 | |||||||||
−16.5723 | + | 17.6655i | −0.670994 | + | 0.715255i | |||||
−12.7443 | + | 9.25928i | −0.515580 | + | 0.374590i | |||||
0 | 0 | |||||||||
12.5793 | + | 9.13937i | 0.508072 | + | 0.369136i | 0.812092 | − | 0.583530i | ||
−0.304020 | + | 0.952666i | ||||||||
20.3064 | − | 14.7534i | 0.819498 | − | 0.595400i | |||||
0 | 0 | |||||||||
6.22754 | + | 4.52458i | 0.250915 | + | 0.182300i | |||||
−5.43852 | − | 16.7380i | −0.218946 | − | 0.673848i | −0.998850 | − | 0.0479478i | ||
0.779903 | − | 0.625900i | ||||||||
0 | 0 | |||||||||
−11.5229 | − | 35.4637i | −0.463143 | − | 1.42541i | −0.861303 | − | 0.508091i | ||
0.398161 | − | 0.917316i | ||||||||
14.4233 | + | 6.77827i | 0.579255 | + | 0.272222i | |||||
0 | 0 | |||||||||
0.223521 | − | 0.687926i | 0.00896236 | − | 0.0275833i | |||||
20.6144 | − | 14.9772i | 0.825897 | − | 0.600049i | |||||
0 | 0 | |||||||||
−4.63525 | + | 24.5665i | −0.185410 | + | 0.982661i | |||||
−21.6163 | −0.863960 | |||||||||
0 | 0 | |||||||||
1.11478 | − | 3.43094i | 0.0444845 | − | 0.136909i | |||||
1.66906 | − | 5.13683i | 0.0665496 | − | 0.204819i | |||||
0 | 0 | |||||||||
2.64380 | + | 8.13677i | 0.105248 | + | 0.323920i | 0.989789 | − | 0.142543i | ||
−0.884541 | + | 0.466463i | ||||||||
9.90157 | 0.393863 | |||||||||
0 | 0 | |||||||||
15.2367 | + | 11.0701i | 0.605129 | + | 0.439652i | |||||
20.9719 | − | 4.01150i | 0.832243 | − | 0.159191i | |||||
0 | 0 | |||||||||
−3.20469 | − | 2.32834i | −0.126974 | − | 0.0922523i | |||||
9.19537 | + | 6.68083i | 0.364048 | + | 0.264497i | |||||
0 | 0 | |||||||||
1.52988 | − | 1.63079i | 0.0604737 | − | 0.0644627i | |||||
−18.4582 | − | 13.4107i | −0.729055 | − | 0.529690i | 0.160209 | − | 0.987083i | ||
−0.889264 | + | 0.457394i | ||||||||
0 | 0 | |||||||||
34.7745 | 1.37137 | 0.685686 | − | 0.727898i | ||||||
0.685686 | + | 0.727898i | ||||||||
−0.561537 | − | 1.72823i | −0.0221277 | − | 0.0681020i | |||||
0 | 0 | |||||||||
2.25053 | − | 6.92641i | 0.0885459 | − | 0.272516i | |||||
5.08583 | − | 15.6526i | 0.199945 | − | 0.615366i | −0.799939 | − | 0.600082i | ||
0.999883 | − | 0.0152844i | ||||||||
0 | 0 | |||||||||
−10.4932 | −0.411894 | |||||||||
−18.1177 | − | 21.8559i | −0.710635 | − | 0.857258i | |||||
0 | 0 | |||||||||
−4.12101 | + | 2.99409i | −0.161391 | + | 0.117257i | |||||
−9.33515 | + | 28.7306i | −0.365313 | + | 1.12432i | 0.584473 | + | 0.811414i | ||
−0.949785 | + | 0.312903i | ||||||||
0 | 0 | |||||||||
−1.56298 | + | 12.4223i | −0.0610705 | + | 0.485381i | |||||
−2.81428 | − | 8.66148i | −0.109879 | − | 0.338174i | |||||
0 | 0 | |||||||||
2.37871 | + | 7.32092i | 0.0927318 | + | 0.285399i | |||||
−23.0523 | − | 16.7485i | −0.897991 | − | 0.652428i | 0.0399585 | − | 0.999201i | ||
−0.937949 | + | 0.346773i | ||||||||
0 | 0 | |||||||||
−41.0448 | + | 29.8208i | −1.59646 | + | 1.15990i | −0.702562 | + | 0.711622i | ||
−0.893897 | + | 0.448273i | ||||||||
13.6529 | + | 9.91941i | 0.530635 | + | 0.385529i | |||||
0 | 0 | |||||||||
−3.78299 | + | 2.74850i | −0.146809 | + | 0.106663i | |||||
−1.09385 | + | 8.69374i | −0.0424175 | + | 0.337129i | |||||
0 | 0 | |||||||||
−0.829146 | − | 2.55185i | −0.0321047 | − | 0.0988080i | |||||
−20.8629 | −0.807209 | |||||||||
0 | 0 | |||||||||
4.66156 | + | 8.46929i | 0.180092 | + | 0.327197i | |||||
9.28730 | − | 28.5834i | 0.358532 | − | 1.10345i | |||||
0 | 0 | |||||||||
16.5401 | − | 12.0171i | 0.637573 | − | 0.463224i | −0.221442 | − | 0.975173i | ||
0.859016 | + | 0.511949i | ||||||||
−19.3521 | −0.745414 | |||||||||
0 | 0 | |||||||||
19.2373 | 0.739894 | |||||||||
6.90383 | − | 5.01592i | 0.265336 | − | 0.192778i | −0.447160 | − | 0.894454i | ||
0.712496 | + | 0.701676i | ||||||||
0 | 0 | |||||||||
0.0773079 | − | 0.237929i | 0.00296680 | − | 0.00913088i | |||||
11.3248 | − | 2.16621i | 0.434287 | − | 0.0830705i | |||||
0 | 0 | |||||||||
−19.7739 | −0.757182 | |||||||||
15.0085 | + | 46.1913i | 0.574283 | + | 1.76746i | 0.638608 | + | 0.769532i | ||
−0.0643246 | + | 0.997929i | ||||||||
0 | 0 | |||||||||
−8.60863 | − | 15.6405i | −0.328919 | − | 0.597591i | |||||
14.1462 | − | 10.2778i | 0.540103 | − | 0.392408i | |||||
0 | 0 | |||||||||
−7.48066 | − | 5.43502i | −0.285197 | − | 0.207208i | |||||
−2.41665 | + | 1.75580i | −0.0920671 | + | 0.0668907i | |||||
0 | 0 | |||||||||
−36.2501 | − | 26.3373i | −1.37902 | − | 1.00192i | −0.996971 | − | 0.0777740i | ||
−0.382048 | − | 0.924142i | ||||||||
3.70441 | + | 11.4010i | 0.140820 | + | 0.433401i | |||||
0 | 0 | |||||||||
−2.79311 | − | 8.59630i | −0.106025 | − | 0.326311i | |||||
−48.5117 | + | 9.27932i | −1.84015 | + | 0.351985i | |||||
0 | 0 | |||||||||
14.5117 | − | 44.6623i | 0.549669 | − | 1.69171i | |||||
29.7156 | − | 21.5896i | 1.12475 | − | 0.817179i | |||||
0 | 0 | |||||||||
−12.8930 | + | 5.11968i | −0.487311 | + | 0.193506i | |||||
−2.21913 | −0.0838152 | −0.0419076 | − | 0.999121i | ||||||
−0.0419076 | + | 0.999121i | ||||||||
0 | 0 | |||||||||
−0.457166 | + | 1.40701i | −0.0172424 | + | 0.0530665i | |||||
−0.857358 | + | 2.63868i | −0.0323129 | + | 0.0994488i | |||||
0 | 0 | |||||||||
5.67779 | + | 17.4744i | 0.213686 | + | 0.657659i | |||||
−21.9358 | −0.824982 | |||||||||
0 | 0 | |||||||||
−27.7968 | − | 20.1955i | −1.04393 | − | 0.758459i | −0.0728805 | − | 0.997341i | ||
−0.971049 | + | 0.238882i | ||||||||
−3.69767 | + | 29.3886i | −0.138771 | + | 1.10293i | |||||
0 | 0 | |||||||||
7.43002 | + | 5.39823i | 0.278452 | + | 0.202307i | |||||
3.77648 | + | 2.74377i | 0.141430 | + | 0.102755i | |||||
0 | 0 | |||||||||
31.8795 | + | 14.9818i | 1.19223 | + | 0.560289i | |||||
−6.91009 | − | 5.02047i | −0.258242 | − | 0.187624i | |||||
0 | 0 | |||||||||
−24.4259 | −0.911565 | |||||||||
−3.70511 | − | 11.4032i | −0.138177 | − | 0.425266i | 0.857893 | − | 0.513828i | ||
−0.996071 | + | 0.0885618i | ||||||||
0 | 0 | |||||||||
−6.71673 | + | 20.6720i | −0.250144 | + | 0.769864i | |||||
5.25489 | − | 16.1729i | 0.195567 | − | 0.601892i | |||||
0 | 0 | |||||||||
7.82844 | 0.290942 | |||||||||
−19.0374 | + | 7.55955i | −0.707032 | + | 0.280754i | |||||
0 | 0 | |||||||||
−34.1265 | + | 24.7944i | −1.26568 | + | 0.919573i | −0.999022 | − | 0.0442177i | ||
−0.266661 | + | 0.963790i | ||||||||
4.86789 | − | 14.9818i | 0.180416 | − | 0.555264i | |||||
0 | 0 | |||||||||
6.44574 | − | 6.87092i | 0.238568 | − | 0.254304i | |||||
−14.7338 | − | 45.3459i | −0.544948 | − | 1.67718i | |||||
0 | 0 | |||||||||
−0.0996219 | − | 0.306605i | −0.00367962 | − | 0.0113247i | 0.949200 | − | 0.314674i | ||
−0.952879 | + | 0.303349i | ||||||||
11.7489 | + | 8.53607i | 0.433660 | + | 0.315072i | |||||
0 | 0 | |||||||||
0.529876 | − | 0.384978i | 0.0195315 | − | 0.0141905i | |||||
−9.70427 | − | 7.05056i | −0.357461 | − | 0.259711i | |||||
0 | 0 | |||||||||
4.44942 | − | 3.23269i | 0.163674 | − | 0.118916i | −0.502933 | − | 0.864325i | ||
0.666607 | + | 0.745409i | ||||||||
−2.30049 | + | 0.440039i | −0.0845678 | + | 0.0161761i | |||||
0 | 0 | |||||||||
0.451065 | + | 1.38824i | 0.0165591 | + | 0.0509638i | |||||
6.03812 | 0.221517 | 0.110759 | − | 0.993847i | ||||||
0.110759 | + | 0.993847i | ||||||||
0 | 0 | |||||||||
8.46733 | + | 3.97923i | 0.310219 | + | 0.145788i | |||||
7.19662 | − | 22.1489i | 0.263487 | − | 0.810929i | |||||
0 | 0 | |||||||||
−11.5741 | + | 8.40906i | −0.423190 | + | 0.307466i | |||||
−28.3605 | −1.03627 | |||||||||
0 | 0 | |||||||||
−13.5719 | −0.495244 | −0.247622 | − | 0.968857i | ||||||
−0.247622 | + | 0.968857i | ||||||||
−2.24459 | + | 1.63079i | −0.0818518 | + | 0.0594688i | |||||
0 | 0 | |||||||||
7.18776 | − | 22.1216i | 0.261763 | − | 0.805623i | |||||
0.670991 | + | 0.315333i | 0.0244199 | + | 0.0114762i | |||||
0 | 0 | |||||||||
33.0661 | 1.20181 | 0.600904 | − | 0.799321i | ||||||
0.600904 | + | 0.799321i | ||||||||
−8.84332 | − | 27.2169i | −0.321204 | − | 0.988563i | |||||
0 | 0 | |||||||||
−3.10195 | + | 0.593341i | −0.112520 | + | 0.0215227i | |||||
4.19767 | − | 3.04978i | 0.152165 | − | 0.110555i | −0.509098 | − | 0.860709i | ||
0.661263 | + | 0.750154i | ||||||||
0 | 0 | |||||||||
8.77840 | + | 6.37788i | 0.317799 | + | 0.230895i | |||||
2.72324 | − | 1.97855i | 0.0985233 | − | 0.0715814i | |||||
0 | 0 | |||||||||
13.4424 | + | 9.76647i | 0.485694 | + | 0.352877i | |||||
6.63575 | + | 20.4227i | 0.239603 | + | 0.737422i | |||||
0 | 0 | |||||||||
10.2191 | + | 31.4512i | 0.368511 | + | 1.13416i | 0.947753 | + | 0.319005i | ||
−0.579242 | + | 0.815156i | ||||||||
11.7765 | − | 12.5533i | 0.424395 | − | 0.452389i | |||||
0 | 0 | |||||||||
−4.76538 | + | 14.6663i | −0.171510 | + | 0.527853i | |||||
−0.914961 | + | 0.664758i | −0.0329088 | + | 0.0239097i | −0.604118 | − | 0.796895i | ||
0.571209 | + | 0.820804i | ||||||||
0 | 0 | |||||||||
19.0643 | − | 30.1072i | 0.684808 | − | 1.08148i | |||||
0.0901699 | 0.00323691 | |||||||||
0 | 0 | |||||||||
8.15086 | − | 25.0858i | 0.292223 | − | 0.899369i | |||||
−3.97485 | + | 12.2333i | −0.142414 | + | 0.438305i | |||||
0 | 0 | |||||||||
−11.3571 | − | 34.9535i | −0.406388 | − | 1.25073i | |||||
3.37727 | 0.120771 | |||||||||
0 | 0 | |||||||||
−0.564426 | − | 0.410079i | −0.0201581 | − | 0.0146457i | |||||
−7.30061 | − | 3.43094i | −0.260570 | − | 0.122455i | |||||
0 | 0 | |||||||||
−12.7509 | − | 9.26408i | −0.454521 | − | 0.330229i | 0.336857 | − | 0.941556i | ||
−0.791378 | + | 0.611327i | ||||||||
7.12330 | + | 5.17538i | 0.253757 | + | 0.184365i | |||||
0 | 0 | |||||||||
2.76393 | − | 21.9674i | 0.0983363 | − | 0.781564i | |||||
14.3103 | + | 10.3970i | 0.508815 | + | 0.369676i | |||||
0 | 0 | |||||||||
−61.5044 | −2.18409 | |||||||||
5.53406 | + | 17.0321i | 0.196396 | + | 0.604446i | |||||
0 | 0 | |||||||||
−5.44555 | + | 16.7597i | −0.193012 | + | 0.594031i | |||||
7.15055 | − | 22.0071i | 0.253285 | − | 0.779532i | −0.740877 | − | 0.671640i | ||
0.994163 | − | 0.107892i | ||||||||
0 | 0 | |||||||||
−14.3064 | −0.506122 | |||||||||
−3.19098 | − | 3.84937i | −0.112818 | − | 0.136096i | |||||
0 | 0 | |||||||||
−25.9018 | + | 18.8188i | −0.914624 | + | 0.664513i | |||||
−3.61226 | + | 11.1174i | −0.127474 | + | 0.392324i | |||||
0 | 0 | |||||||||
−3.99097 | + | 0.763393i | −0.140663 | + | 0.0269061i | |||||
12.5047 | + | 38.4856i | 0.440460 | + | 1.35560i | |||||
0 | 0 | |||||||||
−2.44319 | − | 7.51936i | −0.0859511 | − | 0.264530i | |||||
27.1345 | + | 19.7143i | 0.953997 | + | 0.693119i | 0.951749 | − | 0.306878i | ||
0.00224811 | + | 0.999997i | ||||||||
0 | 0 | |||||||||
9.67796 | − | 7.03145i | 0.339839 | − | 0.246907i | −0.404755 | − | 0.914425i | ||
0.744594 | + | 0.667518i | ||||||||
−9.19537 | − | 6.68083i | −0.322694 | − | 0.234451i | |||||
0 | 0 | |||||||||
2.35113 | − | 1.70820i | 0.0824070 | − | 0.0598722i | |||||
5.49227 | + | 9.97854i | 0.192386 | + | 0.349533i | |||||
0 | 0 | |||||||||
4.03569 | + | 12.4206i | 0.141191 | + | 0.434540i | |||||
−18.0344 | −0.630557 | |||||||||
0 | 0 | |||||||||
−20.0017 | + | 3.82593i | −0.698491 | + | 0.133607i | |||||
3.30466 | − | 10.1707i | 0.115333 | − | 0.354960i | −0.876683 | − | 0.481068i | ||
0.992016 | + | 0.126109i | ||||||||
0 | 0 | |||||||||
9.72525 | − | 7.06581i | 0.339001 | − | 0.246299i | −0.405239 | − | 0.914211i | ||
0.744240 | + | 0.667912i | ||||||||
−7.83422 | −0.272918 | |||||||||
0 | 0 | |||||||||
10.4932 | 0.365105 | |||||||||
−3.34912 | + | 2.43328i | −0.116460 | + | 0.0846133i | −0.644491 | − | 0.764612i | ||
0.528031 | + | 0.849225i | ||||||||
0 | 0 | |||||||||
−6.28859 | + | 19.3543i | −0.218412 | + | 0.672203i | 0.780482 | + | 0.625178i | ||
−0.998894 | + | 0.0470242i | ||||||||
5.04178 | + | 9.16007i | 0.175003 | + | 0.317951i | |||||
0 | 0 | |||||||||
5.67779 | 0.196842 | |||||||||
−1.11168 | − | 3.42141i | −0.0385175 | − | 0.118545i | |||||
0 | 0 | |||||||||
−5.82368 | + | 46.2859i | −0.201537 | + | 1.60179i | |||||
3.17022 | − | 2.30330i | 0.109644 | − | 0.0796614i | |||||
0 | 0 | |||||||||
15.8001 | + | 11.4795i | 0.545806 | + | 0.396552i | |||||
2.53639 | − | 1.84279i | 0.0875658 | − | 0.0636203i | −0.543141 | − | 0.839642i | ||
0.630707 | + | 0.776021i | ||||||||
0 | 0 | |||||||||
9.88393 | + | 7.18109i | 0.340825 | + | 0.247624i | |||||
6.04242 | + | 18.5967i | 0.208236 | + | 0.640883i | |||||
0 | 0 | |||||||||
1.88545 | + | 5.80281i | 0.0648998 | + | 0.199741i | |||||
5.36990 | − | 42.6793i | 0.184730 | − | 1.46821i | |||||
0 | 0 | |||||||||
2.83128 | − | 8.71378i | 0.0972839 | − | 0.299409i | |||||
−0.425633 | + | 0.309240i | −0.0146163 | + | 0.0106194i | |||||
0 | 0 | |||||||||
−1.64469 | − | 25.7297i | −0.0564123 | − | 0.882520i | |||||
−0.686050 | −0.0235175 | |||||||||
0 | 0 | |||||||||
7.21464 | − | 22.2044i | 0.247025 | − | 0.760263i | −0.748272 | − | 0.663392i | ||
0.995297 | − | 0.0968717i | ||||||||
−9.28730 | + | 28.5834i | −0.317805 | + | 0.978102i | |||||
0 | 0 | |||||||||
−3.15876 | − | 9.72166i | −0.107964 | − | 0.332280i | |||||
−15.3036 | −0.522762 | −0.261381 | − | 0.965236i | ||||||
−0.261381 | + | 0.965236i | ||||||||
0 | 0 | |||||||||
2.39576 | + | 1.74062i | 0.0817422 | + | 0.0593892i | 0.627906 | − | 0.778289i | ||
−0.546164 | + | 0.837679i | ||||||||
−14.1462 | + | 15.0793i | −0.482380 | + | 0.514199i | |||||
0 | 0 | |||||||||
17.1482 | + | 12.4589i | 0.584069 | + | 0.424351i | |||||
−30.5987 | − | 22.2312i | −1.04159 | − | 0.756760i | −0.0709954 | − | 0.997477i | ||
−0.970595 | + | 0.240717i | ||||||||
0 | 0 | |||||||||
26.3280 | − | 5.03603i | 0.895180 | − | 0.171230i | |||||
6.91683 | + | 5.02537i | 0.235043 | + | 0.170769i | |||||
0 | 0 | |||||||||
19.7739 | 0.671170 | |||||||||
8.48918 | + | 26.1270i | 0.287976 | + | 0.886298i | |||||
0 | 0 | |||||||||
−7.58555 | + | 23.3459i | −0.257027 | + | 0.791046i | |||||
−1.20854 | + | 3.71950i | −0.0409263 | + | 0.125958i | |||||
0 | 0 | |||||||||
−0.925059 | −0.0312906 | |||||||||
7.75943 | + | 30.0333i | 0.262317 | + | 1.01531i | |||||
0 | 0 | |||||||||
12.6215 | − | 9.17007i | 0.426198 | − | 0.309651i | −0.353929 | − | 0.935272i | ||
0.780127 | + | 0.625621i | ||||||||
8.67453 | − | 26.6975i | 0.292751 | − | 0.900996i | |||||
0 | 0 | |||||||||
5.61478 | + | 2.63868i | 0.189274 | + | 0.0889497i | |||||
−0.359812 | − | 1.10739i | −0.0121224 | − | 0.0373089i | 0.944812 | − | 0.327612i | ||
−0.956935 | + | 0.290303i | ||||||||
0 | 0 | |||||||||
15.1063 | + | 46.4925i | 0.508368 | + | 1.56460i | 0.795033 | + | 0.606566i | ||
−0.286665 | + | 0.958031i | ||||||||
23.6857 | + | 17.2087i | 0.796636 | + | 0.578790i | |||||
0 | 0 | |||||||||
26.7417 | − | 19.4290i | 0.898406 | − | 0.652730i | |||||
6.98094 | + | 5.07195i | 0.234397 | + | 0.170299i | 0.698783 | − | 0.715333i | ||
−0.464386 | + | 0.885633i | ||||||||
0 | 0 | |||||||||
21.4335 | − | 15.5723i | 0.718855 | − | 0.522279i | |||||
14.0504 | − | 14.9772i | 0.470971 | − | 0.502037i | |||||
0 | 0 | |||||||||
−1.55394 | − | 4.78254i | −0.0520299 | − | 0.160131i | |||||
3.91861 | 0.131131 | |||||||||
0 | 0 | |||||||||
−13.0672 | + | 13.9291i | −0.436788 | + | 0.465600i | |||||
0.857358 | − | 2.63868i | 0.0286423 | − | 0.0881520i | |||||
0 | 0 | |||||||||
30.0654 | − | 21.8438i | 1.00329 | − | 0.728936i | |||||
29.1975 | 0.973790 | |||||||||
0 | 0 | |||||||||
−2.71286 | −0.0903784 | |||||||||
20.4420 | − | 14.8520i | 0.680643 | − | 0.494516i | |||||
0 | 0 | |||||||||
−1.97012 | + | 6.06342i | −0.0655253 | + | 0.201666i | |||||
2.18524 | − | 17.3680i | 0.0726398 | − | 0.577332i | |||||
0 | 0 | |||||||||
29.5085 | 0.979815 | 0.489907 | − | 0.871774i | ||||||
0.489907 | + | 0.871774i | ||||||||
5.51232 | + | 16.9652i | 0.182933 | + | 0.563009i | |||||
0 | 0 | |||||||||
−31.8795 | − | 14.9818i | −1.05680 | − | 0.496643i | |||||
−31.0734 | + | 22.5761i | −1.02951 | + | 0.747981i | −0.968210 | − | 0.250139i | ||
−0.0612971 | + | 0.998120i | ||||||||
0 | 0 | |||||||||
−10.4958 | − | 7.62563i | −0.347360 | − | 0.252372i | |||||
23.7155 | − | 17.2303i | 0.784438 | − | 0.569928i | |||||
0 | 0 | |||||||||
17.4397 | + | 12.6707i | 0.576223 | + | 0.418651i | |||||
4.80055 | + | 14.7746i | 0.158528 | + | 0.487899i | |||||
0 | 0 | |||||||||
12.8831 | + | 39.6500i | 0.424974 | + | 1.30793i | 0.903020 | + | 0.429600i | ||
−0.478046 | + | 0.878335i | ||||||||
−0.706192 | − | 1.28303i | −0.0232825 | − | 0.0423004i | |||||
0 | 0 | |||||||||
2.75254 | − | 8.47145i | 0.0906501 | − | 0.278992i | |||||
−60.8473 | + | 44.2081i | −2.00281 | + | 1.45513i | |||||
0 | 0 | |||||||||
0.334097 | + | 5.22665i | 0.0109851 | + | 0.171851i | |||||
18.2771 | 0.600624 | |||||||||
0 | 0 | |||||||||
1.26594 | − | 3.89618i | 0.0415567 | − | 0.127898i | |||||
−8.68484 | + | 26.7292i | −0.284940 | + | 0.876956i | 0.701476 | + | 0.712693i | ||
−0.986417 | + | 0.164263i | ||||||||
0 | 0 | |||||||||
0.304498 | + | 0.937148i | 0.00997952 | + | 0.0307138i | |||||
−14.7065 | −0.481726 | |||||||||
0 | 0 | |||||||||
29.6780 | + | 21.5624i | 0.971095 | + | 0.705542i | |||||
15.4254 | + | 28.0253i | 0.504463 | + | 0.916525i | |||||
0 | 0 | |||||||||
10.4164 | + | 7.56796i | 0.340289 | + | 0.247234i | 0.744784 | − | 0.667306i | ||
−0.404495 | + | 0.914540i | ||||||||
9.70427 | + | 7.05056i | 0.316856 | + | 0.230209i | |||||
0 | 0 | |||||||||
2.99148 | + | 5.43502i | 0.0975712 | + | 0.177271i | |||||
8.21234 | + | 5.96661i | 0.267714 | + | 0.194506i | 0.713541 | − | 0.700613i | ||
−0.445827 | + | 0.895119i | ||||||||
0 | 0 | |||||||||
−5.96489 | −0.194243 | |||||||||
1.16872 | + | 3.59695i | 0.0380386 | + | 0.117071i | |||||
0 | 0 | |||||||||
7.92764 | − | 24.3988i | 0.257750 | − | 0.793273i | |||||
17.7298 | − | 54.5669i | 0.576143 | − | 1.77318i | −0.0561124 | − | 0.998424i | ||
0.632255 | − | 0.774760i | ||||||||
0 | 0 | |||||||||
23.9219 | 0.776538 | |||||||||
0.450491 | + | 7.04754i | 0.0146159 | + | 0.228652i | |||||
0 | 0 | |||||||||
11.5741 | − | 8.40906i | 0.375118 | − | 0.272539i | |||||
−1.59843 | + | 4.91947i | −0.0517784 | + | 0.159357i | −0.973602 | − | 0.228252i | ||
0.921824 | + | 0.387609i | ||||||||
0 | 0 | |||||||||
−3.62939 | − | 6.59401i | −0.117444 | − | 0.213377i | |||||
−2.14465 | − | 6.60057i | −0.0693631 | − | 0.213478i | |||||
0 | 0 | |||||||||
−3.89046 | − | 11.9736i | −0.125695 | − | 0.386849i | |||||
−17.9211 | − | 13.0205i | −0.578704 | − | 0.420453i | |||||
0 | 0 | |||||||||
−16.0149 | + | 11.6355i | −0.516611 | + | 0.375340i | |||||
−4.81145 | − | 3.49572i | −0.155127 | − | 0.112707i | |||||
0 | 0 | |||||||||
−2.67787 | + | 1.94559i | −0.0862484 | + | 0.0626631i | |||||
31.2082 | + | 14.6663i | 1.00463 | + | 0.472126i | |||||
0 | 0 | |||||||||
−12.7927 | − | 39.3718i | −0.411384 | − | 1.26611i | −0.915445 | − | 0.402443i | ||
0.504061 | − | 0.863668i | ||||||||
3.30233 | 0.106141 | |||||||||
0 | 0 | |||||||||
0.0251701 | − | 0.200049i | 0.000808164 | − | 0.00642318i | |||||
−13.3139 | + | 40.9761i | −0.427265 | + | 1.31499i | 0.473544 | + | 0.880770i | ||
−0.900809 | + | 0.434216i | ||||||||
0 | 0 | |||||||||
−49.5795 | + | 36.0216i | −1.58944 | + | 1.15480i | |||||
18.3256 | 0.587189 | |||||||||
0 | 0 | |||||||||
−10.8325 | −0.346739 | |||||||||
32.7340 | − | 23.7826i | 1.04725 | − | 0.760874i | 0.0755652 | − | 0.997141i | ||
0.971688 | + | 0.236267i | ||||||||
0 | 0 | |||||||||
−7.87398 | + | 24.2336i | −0.251654 | + | 0.774510i | |||||
−1.06735 | + | 1.13775i | −0.0340951 | + | 0.0363441i | |||||
0 | 0 | |||||||||
21.7047 | 0.692625 | |||||||||
−12.4777 | − | 38.4023i | −0.397976 | − | 1.22484i | −0.926620 | − | 0.376000i | ||
0.528644 | − | 0.848844i | ||||||||
0 | 0 | |||||||||
13.4704 | − | 14.3589i | 0.429202 | − | 0.457513i | |||||
17.0899 | − | 12.4165i | 0.544253 | − | 0.395423i | |||||
0 | 0 | |||||||||
−6.48768 | − | 4.71358i | −0.206401 | − | 0.149959i | |||||
−4.89955 | + | 3.55973i | −0.155797 | + | 0.113193i | |||||
0 | 0 | |||||||||
47.0391 | + | 34.1759i | 1.49424 | + | 1.08563i | 0.972604 | + | 0.232467i | ||
0.521641 | + | 0.853165i | ||||||||
2.20239 | + | 6.77827i | 0.0699261 | + | 0.215210i | |||||
0 | 0 | |||||||||
11.3571 | + | 34.9535i | 0.360225 | + | 1.10866i | |||||
35.6625 | + | 16.7597i | 1.13058 | + | 0.531317i | |||||
0 | 0 | |||||||||
12.1434 | − | 37.3735i | 0.384585 | − | 1.18363i | −0.552197 | − | 0.833714i | ||
0.936781 | − | 0.349916i | ||||||||
12.8141 | − | 9.30998i | 0.405623 | − | 0.294702i | |||||
0 | 0 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 450.2.h.e.361.1 | 8 | ||
3.2 | odd | 2 | 50.2.d.b.11.2 | ✓ | 8 | ||
12.11 | even | 2 | 400.2.u.d.161.1 | 8 | |||
15.2 | even | 4 | 250.2.e.c.199.1 | 16 | |||
15.8 | even | 4 | 250.2.e.c.199.4 | 16 | |||
15.14 | odd | 2 | 250.2.d.d.51.1 | 8 | |||
25.16 | even | 5 | inner | 450.2.h.e.91.1 | 8 | ||
75.29 | odd | 10 | 1250.2.a.f.1.2 | 4 | |||
75.38 | even | 20 | 250.2.e.c.49.1 | 16 | |||
75.41 | odd | 10 | 50.2.d.b.41.2 | yes | 8 | ||
75.47 | even | 20 | 1250.2.b.e.1249.6 | 8 | |||
75.53 | even | 20 | 1250.2.b.e.1249.3 | 8 | |||
75.59 | odd | 10 | 250.2.d.d.201.1 | 8 | |||
75.62 | even | 20 | 250.2.e.c.49.4 | 16 | |||
75.71 | odd | 10 | 1250.2.a.l.1.3 | 4 | |||
300.71 | even | 10 | 10000.2.a.t.1.2 | 4 | |||
300.179 | even | 10 | 10000.2.a.x.1.3 | 4 | |||
300.191 | even | 10 | 400.2.u.d.241.1 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
50.2.d.b.11.2 | ✓ | 8 | 3.2 | odd | 2 | ||
50.2.d.b.41.2 | yes | 8 | 75.41 | odd | 10 | ||
250.2.d.d.51.1 | 8 | 15.14 | odd | 2 | |||
250.2.d.d.201.1 | 8 | 75.59 | odd | 10 | |||
250.2.e.c.49.1 | 16 | 75.38 | even | 20 | |||
250.2.e.c.49.4 | 16 | 75.62 | even | 20 | |||
250.2.e.c.199.1 | 16 | 15.2 | even | 4 | |||
250.2.e.c.199.4 | 16 | 15.8 | even | 4 | |||
400.2.u.d.161.1 | 8 | 12.11 | even | 2 | |||
400.2.u.d.241.1 | 8 | 300.191 | even | 10 | |||
450.2.h.e.91.1 | 8 | 25.16 | even | 5 | inner | ||
450.2.h.e.361.1 | 8 | 1.1 | even | 1 | trivial | ||
1250.2.a.f.1.2 | 4 | 75.29 | odd | 10 | |||
1250.2.a.l.1.3 | 4 | 75.71 | odd | 10 | |||
1250.2.b.e.1249.3 | 8 | 75.53 | even | 20 | |||
1250.2.b.e.1249.6 | 8 | 75.47 | even | 20 | |||
10000.2.a.t.1.2 | 4 | 300.71 | even | 10 | |||
10000.2.a.x.1.3 | 4 | 300.179 | even | 10 |