Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [54,9,Mod(17,54)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(54, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([5]))
N = Newforms(chi, 9, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("54.17");
S:= CuspForms(chi, 9);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 54.d (of order , degree , not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Coefficient field: | |
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 18) |
Sato-Tate group: |
Embedding invariants
Embedding label | 17.1 | ||
Root | of defining polynomial | ||
Character | 54.17 | ||
Dual form | 54.9.d.a.35.1 |
-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 .
−9.79796 | + | 5.65685i | −0.612372 | + | 0.353553i | |||||
0 | 0 | |||||||||
64.0000 | − | 110.851i | 0.250000 | − | 0.433013i | |||||
−935.250 | − | 539.967i | −1.49640 | − | 0.863947i | −0.496408 | − | 0.868089i | ||
−0.999991 | + | 0.00414227i | ||||||||
0 | 0 | |||||||||
−2056.09 | − | 3561.25i | −0.856347 | − | 1.48324i | −0.875389 | − | 0.483419i | ||
0.0190419 | − | 0.999819i | ||||||||
1448.15i | 0.353553i | |||||||||
0 | 0 | |||||||||
12218.1 | 1.22181 | |||||||||
−8419.53 | + | 4861.02i | −0.575065 | + | 0.332014i | −0.759170 | − | 0.650893i | ||
0.184105 | + | 0.982907i | ||||||||
0 | 0 | |||||||||
−4116.02 | + | 7129.16i | −0.144113 | + | 0.249612i | −0.929042 | − | 0.369975i | ||
0.784928 | + | 0.619586i | ||||||||
40291.0 | + | 23262.0i | 1.04881 | + | 0.605529i | |||||
0 | 0 | |||||||||
−8192.00 | − | 14189.0i | −0.125000 | − | 0.216506i | |||||
− | 87809.9i | − | 1.05135i | −0.850685 | − | 0.525676i | ||||
0.850685 | − | 0.525676i | ||||||||
0 | 0 | |||||||||
123643. | 0.948754 | 0.474377 | − | 0.880322i | ||||||
0.474377 | + | 0.880322i | ||||||||
−119712. | + | 69115.7i | −0.748200 | + | 0.431973i | |||||
0 | 0 | |||||||||
54996.1 | − | 95256.1i | 0.234769 | − | 0.406632i | |||||
−92029.4 | − | 53133.2i | −0.328863 | − | 0.189869i | 0.326473 | − | 0.945206i | ||
−0.655336 | + | 0.755337i | ||||||||
0 | 0 | |||||||||
387816. | + | 671717.i | 0.992808 | + | 1.71959i | |||||
− | 93134.9i | − | 0.203807i | |||||||
0 | 0 | |||||||||
−526359. | −0.856347 | |||||||||
−430885. | + | 248772.i | −0.609213 | + | 0.351729i | −0.772657 | − | 0.634823i | ||
0.163444 | + | 0.986553i | ||||||||
0 | 0 | |||||||||
−577977. | + | 1.00109e6i | −0.625841 | + | 1.08399i | 0.362536 | + | 0.931970i | ||
−0.988378 | + | 0.152019i | ||||||||
160530. | + | 92681.9i | 0.153093 | + | 0.0883883i | |||||
0 | 0 | |||||||||
496728. | + | 860358.i | 0.371709 | + | 0.643819i | |||||
4.44088e6i | 2.95935i | |||||||||
0 | 0 | |||||||||
1.20145e6 | 0.641061 | 0.320531 | − | 0.947238i | ||||||
0.320531 | + | 0.947238i | ||||||||
−1.21145e6 | + | 699428.i | −0.580991 | + | 0.335435i | |||||
0 | 0 | |||||||||
781955. | − | 1.35439e6i | 0.305451 | − | 0.529057i | |||||
−1.53952e6 | − | 888843.i | −0.544816 | − | 0.314550i | 0.202212 | − | 0.979342i | ||
−0.747029 | + | 0.664792i | ||||||||
0 | 0 | |||||||||
−528726. | − | 915780.i | −0.154652 | − | 0.267866i | 0.778280 | − | 0.627917i | ||
−0.932932 | + | 0.360052i | ||||||||
1.24442e6i | 0.332014i | |||||||||
0 | 0 | |||||||||
1.20227e6 | 0.268516 | |||||||||
3.80689e6 | − | 2.19791e6i | 0.780151 | − | 0.450420i | −0.0563327 | − | 0.998412i | ||
0.836484 | + | 0.547992i | ||||||||
0 | 0 | |||||||||
−5.57261e6 | + | 9.65205e6i | −0.966662 | + | 1.67431i | |||||
−7.59961e6 | − | 4.38763e6i | −1.21594 | − | 0.702021i | |||||
0 | 0 | |||||||||
526851. | + | 912532.i | 0.0720567 | + | 0.124806i | |||||
1.04810e6i | 0.132831i | 0.997792 | + | 0.0664157i | ||||||
−0.997792 | + | 0.0664157i | ||||||||
0 | 0 | |||||||||
1.04991e7 | 1.14737 | |||||||||
5.15724e6 | − | 2.97754e6i | 0.524404 | − | 0.302765i | |||||
0 | 0 | |||||||||
2.81453e6 | − | 4.87491e6i | 0.248710 | − | 0.430779i | |||||
8.70048e6 | + | 5.02323e6i | 0.718018 | + | 0.414548i | 0.814023 | − | 0.580833i | ||
−0.0960047 | + | 0.995381i | ||||||||
0 | 0 | |||||||||
−4.15770e6 | − | 7.20135e6i | −0.300285 | − | 0.520109i | 0.675915 | − | 0.736979i | ||
−0.976200 | + | 0.216870i | ||||||||
− | 1.30781e7i | − | 0.885073i | |||||||
0 | 0 | |||||||||
−2.09715e6 | −0.125000 | |||||||||
7.69902e6 | − | 4.44503e6i | 0.431302 | − | 0.249013i | |||||
0 | 0 | |||||||||
6.19183e6 | − | 1.07246e7i | 0.307270 | − | 0.532207i | −0.670494 | − | 0.741915i | ||
0.977764 | + | 0.209708i | ||||||||
−9.73384e6 | − | 5.61983e6i | −0.455248 | − | 0.262838i | |||||
0 | 0 | |||||||||
−2.51214e7 | − | 4.35116e7i | −1.04629 | − | 1.81223i | |||||
− | 1.69579e7i | − | 0.667328i | −0.942692 | − | 0.333664i | ||||
0.942692 | − | 0.333664i | ||||||||
0 | 0 | |||||||||
−2.42736e7 | −0.854757 | −0.427378 | − | 0.904073i | ||||||
−0.427378 | + | 0.904073i | ||||||||
−1.17718e7 | + | 6.79644e6i | −0.392568 | + | 0.226649i | |||||
0 | 0 | |||||||||
7.91313e6 | − | 1.37059e7i | 0.237189 | − | 0.410823i | |||||
3.46226e7 | + | 1.99894e7i | 0.984911 | + | 0.568639i | |||||
0 | 0 | |||||||||
6.39004e6 | + | 1.10679e7i | 0.164057 | + | 0.284155i | 0.936320 | − | 0.351148i | ||
−0.772263 | + | 0.635303i | ||||||||
1.76936e7i | 0.431973i | |||||||||
0 | 0 | |||||||||
2.01122e7 | 0.444841 | |||||||||
2.79188e7 | − | 1.61189e7i | 0.588281 | − | 0.339644i | −0.176136 | − | 0.984366i | ||
0.764418 | + | 0.644722i | ||||||||
0 | 0 | |||||||||
−4.74144e7 | + | 8.21242e7i | −0.908312 | + | 1.57324i | |||||
1.03609e7 | + | 5.98185e6i | 0.189410 | + | 0.109356i | |||||
0 | 0 | |||||||||
−7.03950e6 | − | 1.21928e7i | −0.117385 | − | 0.203316i | |||||
2.10088e7i | 0.334843i | 0.985885 | + | 0.167422i | ||||||
−0.985885 | + | 0.167422i | ||||||||
0 | 0 | |||||||||
3.38516e7 | 0.493644 | |||||||||
−1.17798e7 | + | 6.80105e6i | −0.164432 | + | 0.0949346i | |||||
0 | 0 | |||||||||
−2.48665e7 | + | 4.30700e7i | −0.318495 | + | 0.551650i | |||||
−1.15637e8 | − | 6.67629e7i | −1.41972 | − | 0.819673i | |||||
0 | 0 | |||||||||
−4.46651e7 | − | 7.73622e7i | −0.504523 | − | 0.873860i | −0.999986 | − | 0.00523116i | ||
0.495463 | − | 0.868629i | ||||||||
− | 1.26094e8i | − | 1.36707i | |||||||
0 | 0 | |||||||||
9.92808e7 | 0.992808 | |||||||||
3.08430e7 | − | 1.78072e7i | 0.296395 | − | 0.171124i | −0.344427 | − | 0.938813i | ||
0.640822 | + | 0.767689i | ||||||||
0 | 0 | |||||||||
−4.35300e6 | + | 7.53962e6i | −0.0386759 | + | 0.0669886i | −0.884715 | − | 0.466132i | ||
0.846040 | + | 0.533120i | ||||||||
−1.03241e7 | − | 5.96064e6i | −0.0882510 | − | 0.0509518i | |||||
0 | 0 | |||||||||
−5.92897e6 | − | 1.02693e7i | −0.0469630 | − | 0.0813422i | |||||
2.34341e8i | 1.78778i | 0.448290 | + | 0.893888i | ||||||
−0.448290 | + | 0.893888i | ||||||||
0 | 0 | |||||||||
2.66492e8 | 1.88789 | 0.943947 | − | 0.330098i | ||||||
0.943947 | + | 0.330098i | ||||||||
−1.02870e8 | + | 5.93921e7i | −0.702617 | + | 0.405656i | |||||
0 | 0 | |||||||||
−3.36870e7 | + | 5.83476e7i | −0.214087 | + | 0.370809i | |||||
2.47560e8 | + | 1.42929e8i | 1.51833 | + | 0.876610i | 0.999767 | + | 0.0215714i | ||
0.518565 | + | 0.855038i | ||||||||
0 | 0 | |||||||||
5.73803e7 | + | 9.93856e7i | 0.328074 | + | 0.568241i | |||||
6.36855e7i | 0.351729i | |||||||||
0 | 0 | |||||||||
−1.13663e8 | −0.586259 | |||||||||
−3.12713e8 | + | 1.80545e8i | −1.55940 | + | 0.900322i | |||||
0 | 0 | |||||||||
−5.99205e7 | + | 1.03785e8i | −0.279534 | + | 0.484166i | |||||
8.14740e7 | + | 4.70390e7i | 0.367773 | + | 0.212334i | |||||
0 | 0 | |||||||||
7.39811e7 | + | 1.28139e8i | 0.312921 | + | 0.541994i | |||||
− | 4.15781e8i | − | 1.70304i | |||||||
0 | 0 | |||||||||
−8.18752e7 | −0.314730 | −0.157365 | − | 0.987541i | ||||||
−0.157365 | + | 0.987541i | ||||||||
2.05478e7 | − | 1.18633e7i | 0.0765466 | − | 0.0441942i | |||||
0 | 0 | |||||||||
−5.02898e7 | + | 8.71044e7i | −0.176078 | + | 0.304977i | |||||
−3.27800e8 | − | 1.89256e8i | −1.11308 | − | 0.642634i | −0.173451 | − | 0.984843i | ||
−0.939624 | + | 0.342208i | ||||||||
0 | 0 | |||||||||
−2.54220e8 | − | 4.40322e8i | −0.812463 | − | 1.40723i | |||||
1.40105e8i | 0.434545i | |||||||||
0 | 0 | |||||||||
1.27162e8 | 0.371709 | |||||||||
−8.36881e7 | + | 4.83174e7i | −0.237565 | + | 0.137158i | −0.614057 | − | 0.789262i | ||
0.376492 | + | 0.926420i | ||||||||
0 | 0 | |||||||||
−2.13230e8 | + | 3.69325e8i | −0.571200 | + | 0.989348i | 0.425243 | + | 0.905079i | ||
−0.996443 | + | 0.0842686i | ||||||||
4.92277e8 | + | 2.84216e8i | 1.28144 | + | 0.739839i | |||||
0 | 0 | |||||||||
9.59286e7 | + | 1.66153e8i | 0.235936 | + | 0.408653i | |||||
− | 8.00322e7i | − | 0.191391i | |||||||
0 | 0 | |||||||||
5.37313e8 | 1.21550 | |||||||||
2.37832e8 | − | 1.37312e8i | 0.523429 | − | 0.302202i | |||||
0 | 0 | |||||||||
7.68929e7 | − | 1.33182e8i | 0.160265 | − | 0.277588i | |||||
−3.73436e8 | − | 2.15603e8i | −0.757653 | − | 0.437431i | 0.0707992 | − | 0.997491i | ||
−0.828453 | + | 0.560059i | ||||||||
0 | 0 | |||||||||
−4.20280e8 | − | 7.27947e8i | −0.808409 | − | 1.40021i | −0.913965 | − | 0.405793i | ||
0.105556 | − | 0.994413i | ||||||||
1.79054e8i | 0.335435i | |||||||||
0 | 0 | |||||||||
−4.52308e8 | −0.804176 | |||||||||
1.08111e9 | − | 6.24177e8i | 1.87302 | − | 1.08139i | |||||
0 | 0 | |||||||||
2.10919e8 | − | 3.65323e8i | 0.347150 | − | 0.601282i | −0.638592 | − | 0.769546i | ||
0.985742 | + | 0.168264i | ||||||||
−1.25219e8 | − | 7.22951e7i | −0.200928 | − | 0.116006i | |||||
0 | 0 | |||||||||
−1.00090e8 | − | 1.73361e8i | −0.152726 | − | 0.264529i | |||||
4.36987e8i | 0.650376i | |||||||||
0 | 0 | |||||||||
−5.50818e8 | −0.780293 | −0.390146 | − | 0.920753i | ||||||
−0.390146 | + | 0.920753i | ||||||||
−1.97059e8 | + | 1.13772e8i | −0.272408 | + | 0.157275i | |||||
0 | 0 | |||||||||
−1.82365e8 | + | 3.15866e8i | −0.240165 | + | 0.415978i | |||||
−5.25550e8 | − | 3.03427e8i | −0.675691 | − | 0.390111i | 0.122538 | − | 0.992464i | ||
−0.798230 | + | 0.602353i | ||||||||
0 | 0 | |||||||||
3.73982e8 | + | 6.47756e8i | 0.458463 | + | 0.794081i | |||||
− | 1.07287e9i | − | 1.28455i | |||||||
0 | 0 | |||||||||
−1.35354e8 | −0.154652 | |||||||||
8.26617e8 | − | 4.77248e8i | 0.922826 | − | 0.532794i | 0.0382907 | − | 0.999267i | ||
0.884536 | + | 0.466473i | ||||||||
0 | 0 | |||||||||
1.59477e9 | − | 2.76222e9i | 1.70038 | − | 2.94514i | |||||
1.37946e8 | + | 7.96429e7i | 0.143766 | + | 0.0830035i | |||||
0 | 0 | |||||||||
−1.18844e8 | − | 2.05844e8i | −0.118385 | − | 0.205049i | |||||
9.44019e8i | 0.919536i | 0.888039 | + | 0.459768i | ||||||
−0.888039 | + | 0.459768i | ||||||||
0 | 0 | |||||||||
−8.68230e8 | −0.808948 | −0.404474 | − | 0.914550i | ||||||
−0.404474 | + | 0.914550i | ||||||||
−3.31677e8 | + | 1.91494e8i | −0.302294 | + | 0.174530i | |||||
0 | 0 | |||||||||
7.69451e7 | − | 1.33273e8i | 0.0671289 | − | 0.116271i | |||||
−1.12366e9 | − | 6.48744e8i | −0.959284 | − | 0.553843i | |||||
0 | 0 | |||||||||
4.26845e8 | + | 7.39318e8i | 0.349063 | + | 0.604595i | |||||
− | 5.62665e8i | − | 0.450420i | |||||||
0 | 0 | |||||||||
1.51067e9 | 1.15919 | |||||||||
6.09956e7 | − | 3.52159e7i | 0.0458316 | − | 0.0264609i | −0.476909 | − | 0.878953i | ||
0.522741 | + | 0.852492i | ||||||||
0 | 0 | |||||||||
−1.36871e9 | + | 2.37068e9i | −0.986467 | + | 1.70861i | −0.351242 | + | 0.936285i | ||
−0.635225 | + | 0.772327i | ||||||||
8.75254e8 | + | 5.05328e8i | 0.617913 | + | 0.356752i | |||||
0 | 0 | |||||||||
7.13294e8 | + | 1.23546e9i | 0.483331 | + | 0.837154i | |||||
5.47276e8i | 0.363364i | 0.983357 | + | 0.181682i | ||||||
−0.983357 | + | 0.181682i | ||||||||
0 | 0 | |||||||||
−2.66467e9 | −1.69915 | −0.849574 | − | 0.527469i | ||||||
−0.849574 | + | 0.527469i | ||||||||
−9.72749e8 | + | 5.61617e8i | −0.607968 | + | 0.351011i | |||||
0 | 0 | |||||||||
−2.01465e8 | + | 3.48948e8i | −0.121003 | + | 0.209583i | |||||
1.77188e9 | + | 1.02299e9i | 1.04340 | + | 0.602405i | |||||
0 | 0 | |||||||||
9.59891e8 | + | 1.66258e9i | 0.543509 | + | 0.941385i | |||||
− | 9.84972e7i | − | 0.0546959i | |||||||
0 | 0 | |||||||||
1.34874e8 | 0.0720567 | |||||||||
−1.04101e9 | + | 6.01029e8i | −0.545595 | + | 0.315000i | |||||
0 | 0 | |||||||||
−9.39137e8 | + | 1.62663e9i | −0.473804 | + | 0.820653i | −0.999550 | − | 0.0299884i | ||
0.525746 | + | 0.850642i | ||||||||
1.16184e8 | + | 6.70786e7i | 0.0575176 | + | 0.0332078i | |||||
0 | 0 | |||||||||
−1.32563e9 | − | 2.29606e9i | −0.632074 | − | 1.09478i | |||||
1.14198e9i | 0.534446i | |||||||||
0 | 0 | |||||||||
4.75349e9 | 2.14375 | |||||||||
−2.61107e9 | + | 1.50750e9i | −1.15609 | + | 0.667471i | |||||
0 | 0 | |||||||||
6.71945e8 | − | 1.16384e9i | 0.286842 | − | 0.496826i | |||||
6.26011e8 | + | 3.61427e8i | 0.262430 | + | 0.151514i | |||||
0 | 0 | |||||||||
1.45052e9 | + | 2.51237e9i | 0.586548 | + | 1.01593i | 0.994680 | + | 0.103009i | ||
−0.408132 | + | 0.912923i | ||||||||
− | 7.62249e8i | − | 0.302765i | |||||||
0 | 0 | |||||||||
−3.23411e9 | −1.23971 | |||||||||
−3.60966e9 | + | 2.08404e9i | −1.35945 | + | 0.784877i | −0.989549 | − | 0.144195i | ||
−0.369898 | + | 0.929072i | ||||||||
0 | 0 | |||||||||
1.80018e9 | − | 3.11801e9i | 0.654599 | − | 1.13380i | −0.327396 | − | 0.944887i | ||
0.981994 | − | 0.188911i | ||||||||
−1.12442e9 | − | 6.49184e8i | −0.401807 | − | 0.231983i | |||||
0 | 0 | |||||||||
−3.60260e8 | − | 6.23988e8i | −0.124355 | − | 0.215389i | |||||
2.86365e9i | 0.971618i | 0.874065 | + | 0.485809i | ||||||
−0.874065 | + | 0.485809i | ||||||||
0 | 0 | |||||||||
−4.74719e9 | −1.55656 | |||||||||
1.11366e9 | − | 6.42973e8i | 0.359009 | − | 0.207274i | |||||
0 | 0 | |||||||||
2.04263e9 | − | 3.53795e9i | 0.636624 | − | 1.10266i | |||||
−1.21500e9 | − | 7.01479e8i | −0.372378 | − | 0.214992i | 0.302119 | − | 0.953270i | ||
−0.674497 | + | 0.738278i | ||||||||
0 | 0 | |||||||||
2.21808e9 | + | 3.84182e9i | 0.657519 | + | 1.13886i | 0.981256 | + | 0.192709i | ||
−0.323737 | + | 0.946147i | ||||||||
− | 1.35585e9i | − | 0.395320i | |||||||
0 | 0 | |||||||||
−1.06437e9 | −0.300285 | |||||||||
1.04236e10 | − | 6.01805e9i | 2.89303 | − | 1.67029i | |||||
0 | 0 | |||||||||
−5.08916e8 | + | 8.81468e8i | −0.136728 | + | 0.236820i | |||||
−1.44973e9 | − | 8.37001e8i | −0.383248 | − | 0.221268i | |||||
0 | 0 | |||||||||
2.35201e9 | + | 4.07381e9i | 0.602116 | + | 1.04290i | |||||
− | 2.42084e9i | − | 0.609916i | −0.952366 | − | 0.304958i | ||||
0.952366 | − | 0.304958i | ||||||||
0 | 0 | |||||||||
1.03313e9 | 0.252157 | |||||||||
8.02210e8 | − | 4.63156e8i | 0.192732 | − | 0.111274i | |||||
0 | 0 | |||||||||
−1.34218e8 | + | 2.32472e8i | −0.0312500 | + | 0.0541266i | |||||
2.08915e9 | + | 1.20617e9i | 0.478891 | + | 0.276488i | 0.719954 | − | 0.694022i | ||
−0.241063 | + | 0.970509i | ||||||||
0 | 0 | |||||||||
−2.47029e9 | − | 4.27867e9i | −0.548971 | − | 0.950846i | |||||
− | 1.13793e9i | − | 0.249013i | |||||||
0 | 0 | |||||||||
4.28237e9 | 0.908822 | |||||||||
−5.65030e9 | + | 3.26220e9i | −1.18100 | + | 0.681849i | −0.956245 | − | 0.292567i | ||
−0.224752 | + | 0.974416i | ||||||||
0 | 0 | |||||||||
5.65941e8 | − | 9.80238e8i | 0.114759 | − | 0.198769i | |||||
4.98168e9 | + | 2.87617e9i | 0.995060 | + | 0.574498i | |||||
0 | 0 | |||||||||
−7.92554e8 | − | 1.37274e9i | −0.153635 | − | 0.266103i | |||||
− | 6.64127e9i | − | 1.26836i | −0.773186 | − | 0.634180i | ||||
0.773186 | − | 0.634180i | ||||||||
0 | 0 | |||||||||
−2.72229e9 | −0.504728 | −0.252364 | − | 0.967632i | ||||||
−0.252364 | + | 0.967632i | ||||||||
−1.24593e9 | + | 7.19339e8i | −0.227624 | + | 0.131419i | |||||
0 | 0 | |||||||||
5.46649e8 | − | 9.46823e8i | 0.0969853 | − | 0.167983i | |||||
−6.53045e9 | − | 3.77036e9i | −1.14186 | − | 0.659252i | |||||
0 | 0 | |||||||||
−5.00946e9 | − | 8.67663e9i | −0.850886 | − | 1.47378i | −0.880410 | − | 0.474214i | ||
0.0295233 | − | 0.999564i | ||||||||
− | 4.82484e9i | − | 0.807799i | |||||||
0 | 0 | |||||||||
−6.43108e9 | −1.04629 | |||||||||
6.83019e9 | − | 3.94341e9i | 1.09549 | − | 0.632480i | 0.160456 | − | 0.987043i | ||
0.935032 | + | 0.354563i | ||||||||
0 | 0 | |||||||||
4.86855e8 | − | 8.43258e8i | 0.0759021 | − | 0.131466i | −0.825576 | − | 0.564291i | ||
0.901478 | + | 0.432824i | ||||||||
−1.87981e9 | − | 1.08531e9i | −0.288962 | − | 0.166832i | |||||
0 | 0 | |||||||||
4.52730e8 | + | 7.84152e8i | 0.0676668 | + | 0.117202i | |||||
7.31016e9i | 1.07746i | |||||||||
0 | 0 | |||||||||
−7.34822e8 | −0.105339 | |||||||||
−5.26458e9 | + | 3.03950e9i | −0.744340 | + | 0.429745i | |||||
0 | 0 | |||||||||
−1.55351e9 | + | 2.69076e9i | −0.213689 | + | 0.370121i | |||||
4.59420e9 | + | 2.65246e9i | 0.623361 | + | 0.359898i | 0.778176 | − | 0.628046i | ||
−0.154815 | + | 0.987943i | ||||||||
0 | 0 | |||||||||
−5.42475e9 | − | 9.39595e9i | −0.716295 | − | 1.24066i | |||||
1.73989e9i | 0.226649i | |||||||||
0 | 0 | |||||||||
4.87854e9 | 0.618621 | |||||||||
7.57590e8 | − | 4.37395e8i | 0.0947871 | − | 0.0547254i | |||||
0 | 0 | |||||||||
−2.17422e9 | + | 3.76585e9i | −0.264872 | + | 0.458772i | |||||
8.23578e9 | + | 4.75493e9i | 0.990095 | + | 0.571632i | |||||
0 | 0 | |||||||||
−1.01288e9 | − | 1.75436e9i | −0.118594 | − | 0.205411i | |||||
8.98008e9i | 1.03772i | |||||||||
0 | 0 | |||||||||
1.34241e10 | 1.51124 | 0.755618 | − | 0.655013i | ||||||
0.755618 | + | 0.655013i | ||||||||
4.43169e9 | − | 2.55864e9i | 0.492455 | − | 0.284319i | |||||
0 | 0 | |||||||||
−7.06176e9 | + | 1.22313e10i | −0.764656 | + | 1.32442i | |||||
−1.98291e9 | − | 1.14483e9i | −0.211964 | − | 0.122377i | 0.390260 | − | 0.920705i | ||
−0.602224 | + | 0.798327i | ||||||||
0 | 0 | |||||||||
8.94161e9 | + | 1.54873e10i | 0.931619 | + | 1.61361i | 0.780555 | + | 0.625088i | ||
0.151065 | + | 0.988524i | ||||||||
4.77256e9i | 0.490945i | |||||||||
0 | 0 | |||||||||
1.63585e9 | 0.164057 | |||||||||
−5.77404e9 | + | 3.33364e9i | −0.571798 | + | 0.330128i | −0.757867 | − | 0.652409i | ||
0.186069 | + | 0.982537i | ||||||||
0 | 0 | |||||||||
2.41856e9 | − | 4.18908e9i | 0.233558 | − | 0.404535i | |||||
1.96136e9 | + | 1.13239e9i | 0.187050 | + | 0.107993i | |||||
0 | 0 | |||||||||
−2.47197e9 | − | 4.28158e9i | −0.229943 | − | 0.398272i | |||||
− | 1.08570e10i | − | 0.997474i | |||||||
0 | 0 | |||||||||
−6.38503e9 | −0.572308 | |||||||||
5.39689e9 | − | 3.11590e9i | 0.477830 | − | 0.275875i | |||||
0 | 0 | |||||||||
1.28718e9 | − | 2.22946e9i | 0.111210 | − | 0.192622i | |||||
−1.56546e10 | − | 9.03820e9i | −1.33616 | − | 0.771433i | |||||
0 | 0 | |||||||||
−7.84292e9 | − | 1.35843e10i | −0.653380 | − | 1.13169i | −0.982297 | − | 0.187328i | ||
0.328918 | − | 0.944359i | ||||||||
− | 4.12645e9i | − | 0.339644i | |||||||
0 | 0 | |||||||||
6.86576e9 | 0.551700 | |||||||||
−1.15818e10 | + | 6.68676e9i | −0.919597 | + | 0.530929i | |||||
0 | 0 | |||||||||
−1.29188e9 | + | 2.23761e9i | −0.100162 | + | 0.173486i | −0.911751 | − | 0.410743i | ||
0.811589 | + | 0.584229i | ||||||||
−7.32852e9 | − | 4.23112e9i | −0.561500 | − | 0.324182i | |||||
0 | 0 | |||||||||
6.06905e9 | + | 1.05119e10i | 0.454156 | + | 0.786621i | |||||
− | 1.12382e10i | − | 0.831152i | |||||||
0 | 0 | |||||||||
2.21253e10 | 1.59850 | |||||||||
1.32619e9 | − | 7.65677e8i | 0.0947049 | − | 0.0546779i | |||||
0 | 0 | |||||||||
−5.39944e9 | + | 9.35211e9i | −0.376742 | + | 0.652537i | |||||
−1.45626e10 | − | 8.40775e9i | −1.00444 | − | 0.579912i | −0.0948784 | − | 0.995489i | ||
−0.909558 | + | 0.415577i | ||||||||
0 | 0 | |||||||||
1.22366e10 | + | 2.11945e10i | 0.824822 | + | 1.42863i | 0.902055 | + | 0.431620i | ||
−0.0772336 | + | 0.997013i | ||||||||
3.60855e10i | 2.40470i | |||||||||
0 | 0 | |||||||||
−1.80211e9 | −0.117385 | |||||||||
9.05088e9 | − | 5.22553e9i | 0.582897 | − | 0.336536i | −0.179387 | − | 0.983779i | ||
0.762284 | + | 0.647243i | ||||||||
0 | 0 | |||||||||
−9.15672e9 | + | 1.58599e10i | −0.576536 | + | 0.998590i | |||||
2.32885e9 | + | 1.34456e9i | 0.144991 | + | 0.0837108i | |||||
0 | 0 | |||||||||
−5.34018e9 | − | 9.24946e9i | −0.325105 | − | 0.563098i | |||||
2.37497e10i | 1.42982i | 0.699219 | + | 0.714908i | ||||||
−0.699219 | + | 0.714908i | ||||||||
0 | 0 | |||||||||
−1.69607e9 | −0.0998656 | |||||||||
8.50688e9 | − | 4.91145e9i | 0.495377 | − | 0.286006i | |||||
0 | 0 | |||||||||
2.16651e9 | − | 3.75250e9i | 0.123411 | − | 0.213754i | |||||
2.27019e10 | + | 1.31069e10i | 1.27906 | + | 0.738464i | |||||
0 | 0 | |||||||||
−5.17433e9 | − | 8.96220e9i | −0.285226 | − | 0.494027i | 0.687438 | − | 0.726243i | ||
−0.972664 | + | 0.232217i | ||||||||
1.74107e9i | 0.0949346i | |||||||||
0 | 0 | |||||||||
1.46794e10 | 0.783252 | |||||||||
3.73256e9 | − | 2.15499e9i | 0.197020 | − | 0.113750i | |||||
0 | 0 | |||||||||
4.02672e9 | − | 6.97448e9i | 0.208025 | − | 0.360310i | −0.743067 | − | 0.669217i | ||
0.951092 | + | 0.308907i | ||||||||
−8.36443e9 | − | 4.82920e9i | −0.427513 | − | 0.246825i | |||||
0 | 0 | |||||||||
3.18291e9 | + | 5.51296e9i | 0.159248 | + | 0.275825i | |||||
− | 4.09580e9i | − | 0.202756i | |||||||
0 | 0 | |||||||||
−2.63218e10 | −1.27573 | −0.637864 | − | 0.770149i | ||||||
−0.637864 | + | 0.770149i | ||||||||
−1.48015e10 | + | 8.54565e9i | −0.709858 | + | 0.409837i | |||||
0 | 0 | |||||||||
−3.98422e8 | + | 6.90087e8i | −0.0187107 | + | 0.0324079i | |||||
2.64941e10 | + | 1.52964e10i | 1.23127 | + | 0.710876i | 0.967295 | − | 0.253653i | ||
0.263978 | + | 0.964529i | ||||||||
0 | 0 | |||||||||
−2.15872e10 | − | 3.73901e10i | −0.982547 | − | 1.70182i | |||||
− | 3.09704e10i | − | 1.39508i | |||||||
0 | 0 | |||||||||
−1.14343e10 | −0.504523 | |||||||||
−3.76791e10 | + | 2.17540e10i | −1.64552 | + | 0.950039i | −0.666691 | + | 0.745334i | ||
−0.978824 | + | 0.204704i | ||||||||
0 | 0 | |||||||||
−4.66562e9 | + | 8.08109e9i | −0.199619 | + | 0.345751i | |||||
−1.39777e10 | − | 8.07001e9i | −0.591957 | − | 0.341767i | |||||
0 | 0 | |||||||||
−3.09586e9 | − | 5.36219e9i | −0.128468 | − | 0.222514i | |||||
− | 1.38016e10i | − | 0.566947i | |||||||
0 | 0 | |||||||||
4.31419e10 | 1.73675 | 0.868375 | − | 0.495908i | ||||||
0.868375 | + | 0.495908i | ||||||||
2.61083e10 | − | 1.50737e10i | 1.04051 | − | 0.600740i | |||||
0 | 0 | |||||||||
6.35397e9 | − | 1.10054e10i | 0.248202 | − | 0.429899i | |||||
1.57455e10 | + | 9.09069e9i | 0.608948 | + | 0.351576i | 0.772554 | − | 0.634950i | ||
−0.163606 | + | 0.986526i | ||||||||
0 | 0 | |||||||||
−4.75794e9 | − | 8.24099e9i | −0.180384 | − | 0.312434i | |||||
− | 4.55864e9i | − | 0.171124i | |||||||
0 | 0 | |||||||||
−2.31477e10 | −0.851930 | |||||||||
−1.01157e10 | + | 5.84028e9i | −0.368652 | + | 0.212841i | |||||
0 | 0 | |||||||||
3.23724e9 | − | 5.60707e9i | 0.115686 | − | 0.200374i | −0.802368 | − | 0.596830i | ||
0.918054 | + | 0.396456i | ||||||||
−1.88099e10 | − | 1.08599e10i | −0.665659 | − | 0.384319i | |||||
0 | 0 | |||||||||
5.57184e8 | + | 9.65071e8i | 0.0193379 | + | 0.0334943i | |||||
− | 4.13128e10i | − | 1.41999i | |||||||
0 | 0 | |||||||||
−3.48148e10 | −1.17374 | |||||||||
−1.32149e9 | + | 7.62961e8i | −0.0441255 | + | 0.0254759i | |||||
0 | 0 | |||||||||
6.79986e9 | − | 1.17777e10i | 0.222738 | − | 0.385794i | |||||
3.28096e10 | + | 1.89427e10i | 1.06450 | + | 0.614589i | 0.926673 | − | 0.375868i | ||
0.137826 | + | 0.990456i | ||||||||
0 | 0 | |||||||||
2.38781e10 | + | 4.13581e10i | 0.760102 | + | 1.31654i | 0.942798 | + | 0.333366i | ||
−0.182696 | + | 0.983170i | ||||||||
− | 2.12502e10i | − | 0.670061i | |||||||
0 | 0 | |||||||||
−1.51782e9 | −0.0469630 | |||||||||
5.89834e10 | − | 3.40541e10i | 1.80790 | − | 1.04379i | |||||
0 | 0 | |||||||||
−1.70972e10 | + | 2.96133e10i | −0.514297 | + | 0.890789i | |||||
2.59770e10 | + | 1.49978e10i | 0.774130 | + | 0.446944i | |||||
0 | 0 | |||||||||
−6.46000e9 | − | 1.11890e10i | −0.188955 | − | 0.327280i | |||||
− | 2.73395e10i | − | 0.792285i | −0.918189 | − | 0.396143i | ||||
0.918189 | − | 0.396143i | ||||||||
0 | 0 | |||||||||
−6.96958e9 | −0.198269 | −0.0991345 | − | 0.995074i | ||||||
−0.0991345 | + | 0.995074i | ||||||||
−4.65745e10 | + | 2.68898e10i | −1.31277 | + | 0.757930i | |||||
0 | 0 | |||||||||
1.70555e10 | − | 2.95409e10i | 0.471973 | − | 0.817482i | |||||
−1.13788e10 | − | 6.56953e9i | −0.312010 | − | 0.180139i | |||||
0 | 0 | |||||||||
4.26214e9 | + | 7.38223e9i | 0.114754 | + | 0.198760i | 0.917682 | − | 0.397317i | ||
−0.802927 | + | 0.596077i | ||||||||
1.52044e10i | 0.405656i | |||||||||
0 | 0 | |||||||||
−8.17817e9 | −0.214273 | |||||||||
1.77214e10 | − | 1.02315e10i | 0.460134 | − | 0.265658i | −0.251967 | − | 0.967736i | ||
0.712101 | + | 0.702077i | ||||||||
0 | 0 | |||||||||
1.13441e10 | − | 1.96485e10i | 0.289287 | − | 0.501060i | |||||
−2.84242e10 | − | 1.64107e10i | −0.718372 | − | 0.414752i | |||||
0 | 0 | |||||||||
4.31193e9 | + | 7.46849e9i | 0.107043 | + | 0.185405i | |||||
1.52992e10i | 0.376430i | 0.982128 | + | 0.188215i | ||||||
−0.982128 | + | 0.188215i | ||||||||
0 | 0 | |||||||||
1.72827e10 | 0.417740 | |||||||||
3.16877e10 | − | 1.82949e10i | 0.759166 | − | 0.438305i | |||||
0 | 0 | |||||||||
2.35782e10 | − | 4.08386e10i | 0.554992 | − | 0.961274i | |||||
−3.16597e10 | − | 1.82788e10i | −0.738689 | − | 0.426483i | |||||
0 | 0 | |||||||||
−1.20106e10 | − | 2.08029e10i | −0.275359 | − | 0.476935i | 0.694867 | − | 0.719138i | ||
−0.970226 | + | 0.242203i | ||||||||
4.07335e10i | 0.925742i | |||||||||
0 | 0 | |||||||||
1.46894e10 | 0.328074 | |||||||||
−4.96796e10 | + | 2.86825e10i | −1.09995 | + | 0.635058i | −0.936209 | − | 0.351445i | ||
−0.163744 | + | 0.986503i | ||||||||
0 | 0 | |||||||||
3.03202e10 | − | 5.25162e10i | 0.659795 | − | 1.14280i | −0.320874 | − | 0.947122i | ||
0.980669 | − | 0.195676i | ||||||||
7.05962e9 | + | 4.07587e9i | 0.152303 | + | 0.0879324i | |||||
0 | 0 | |||||||||
−1.61992e10 | − | 2.80579e10i | −0.343519 | − | 0.594992i | |||||
1.01091e10i | 0.212543i | 0.994337 | + | 0.106271i | ||||||
−0.994337 | + | 0.106271i | ||||||||
0 | 0 | |||||||||
−5.09238e10 | −1.05252 | |||||||||
4.65128e10 | − | 2.68542e10i | 0.953193 | − | 0.550326i | |||||
0 | 0 | |||||||||
−7.27441e9 | + | 1.25996e10i | −0.146565 | + | 0.253858i | |||||
8.90324e9 | + | 5.14029e9i | 0.177870 | + | 0.102693i | |||||
0 | 0 | |||||||||
4.79505e10 | + | 8.30528e10i | 0.941931 | + | 1.63147i | |||||
4.62195e10i | 0.900322i | |||||||||
0 | 0 | |||||||||
1.58727e10 | 0.304045 | |||||||||
−1.87971e10 | + | 1.08525e10i | −0.357067 | + | 0.206153i | −0.667793 | − | 0.744347i | ||
0.310727 | + | 0.950499i | ||||||||
0 | 0 | |||||||||
−4.94520e9 | + | 8.56534e9i | −0.0923855 | + | 0.160016i | |||||
−4.34652e10 | − | 2.50947e10i | −0.805293 | − | 0.464936i | |||||
0 | 0 | |||||||||
7.66982e9 | + | 1.32845e10i | 0.139767 | + | 0.242083i | |||||
9.64707e10i | 1.74353i | |||||||||
0 | 0 | |||||||||
−5.82792e9 | −0.103609 | −0.0518045 | − | 0.998657i | ||||||
−0.0518045 | + | 0.998657i | ||||||||
1.04287e10 | − | 6.02100e9i | 0.183886 | − | 0.106167i | |||||
0 | 0 | |||||||||
−6.80865e10 | + | 1.17929e11i | −1.18107 | + | 2.04568i | |||||
2.15718e10 | + | 1.24545e10i | 0.371159 | + | 0.214288i | 0.673964 | − | 0.738764i | ||
−0.302806 | + | 0.953052i | ||||||||
0 | 0 | |||||||||
2.18446e10 | + | 3.78360e10i | 0.369791 | + | 0.640497i | |||||
− | 1.15154e10i | − | 0.193363i | |||||||
0 | 0 | |||||||||
1.89392e10 | 0.312921 | |||||||||
−6.03915e10 | + | 3.48670e10i | −0.989806 | + | 0.571465i | |||||
0 | 0 | |||||||||
−8.19755e9 | + | 1.41986e10i | −0.132215 | + | 0.229004i | −0.924530 | − | 0.381109i | ||
0.792315 | + | 0.610112i | ||||||||
−4.60899e10 | − | 2.66100e10i | −0.737438 | − | 0.425760i | |||||
0 | 0 | |||||||||
1.36943e10 | + | 2.37192e10i | 0.215638 | + | 0.373496i | |||||
− | 4.61285e10i | − | 0.720606i | −0.932835 | − | 0.360303i | ||||
0.932835 | − | 0.360303i | ||||||||
0 | 0 | |||||||||
−3.84612e10 | −0.591367 | |||||||||
−1.01225e10 | + | 5.84424e9i | −0.154414 | + | 0.0891509i | |||||
0 | 0 | |||||||||
−5.24001e9 | + | 9.07597e9i | −0.0786824 | + | 0.136282i | |||||
6.69443e9 | + | 3.86503e9i | 0.0997339 | + | 0.0575814i | 0.549037 | − | 0.835798i | ||
−0.449303 | + | 0.893379i | ||||||||
0 | 0 | |||||||||
4.99087e10 | + | 8.64444e10i | 0.731969 | + | 1.26781i | |||||
− | 3.03700e9i | − | 0.0441942i | |||||||
0 | 0 | |||||||||
−2.72925e10 | −0.391013 | |||||||||
8.14229e9 | − | 4.70095e9i | 0.115749 | − | 0.0668278i | |||||
0 | 0 | |||||||||
−2.13681e10 | + | 3.70107e10i | −0.299092 | + | 0.518042i | |||||
4.84077e10 | + | 2.79482e10i | 0.672349 | + | 0.388181i | |||||
0 | 0 | |||||||||
6.43709e9 | + | 1.11494e10i | 0.0880392 | + | 0.152488i | |||||
3.97902e10i | 0.540039i | 0.962855 | + | 0.270019i | ||||||
−0.962855 | + | 0.270019i | ||||||||
0 | 0 | |||||||||
−3.49978e10 | −0.467772 | −0.233886 | − | 0.972264i | ||||||
−0.233886 | + | 0.972264i | ||||||||
−4.19585e10 | + | 2.42247e10i | −0.556538 | + | 0.321317i | |||||
0 | 0 | |||||||||
3.69076e10 | − | 6.39259e10i | 0.482140 | − | 0.835091i | |||||
8.79053e10 | + | 5.07521e10i | 1.13965 | + | 0.657979i | |||||
0 | 0 | |||||||||
−3.35092e10 | − | 5.80397e10i | −0.427899 | − | 0.741143i | |||||
1.28058e10i | 0.162294i | |||||||||
0 | 0 | |||||||||
−6.50804e10 | −0.812463 | |||||||||
1.26734e10 | − | 7.31699e9i | 0.157031 | − | 0.0906617i | |||||
0 | 0 | |||||||||
1.26536e11 | − | 2.19167e11i | 1.54454 | − | 2.67523i | |||||
1.55308e10 | + | 8.96673e9i | 0.188163 | + | 0.108636i | |||||
0 | 0 | |||||||||
3.75687e10 | + | 6.50709e10i | 0.448433 | + | 0.776708i | |||||
− | 1.08354e11i | − | 1.28378i | |||||||
0 | 0 | |||||||||
2.34001e10 | 0.273168 | 0.136584 | − | 0.990629i | ||||||
0.136584 | + | 0.990629i | ||||||||
2.66729e10 | − | 1.53996e10i | 0.309081 | − | 0.178448i | |||||
0 | 0 | |||||||||
8.13839e9 | − | 1.40961e10i | 0.0929272 | − | 0.160955i | |||||
−2.49236e11 | − | 1.43897e11i | −2.82504 | − | 1.63104i | |||||
0 | 0 | |||||||||
−1.16091e10 | − | 2.01075e10i | −0.129673 | − | 0.224600i | 0.793877 | − | 0.608078i | ||
−0.923550 | + | 0.383478i | ||||||||
1.23692e10i | 0.137158i | |||||||||
0 | 0 | |||||||||
8.53134e10 | 0.932324 | |||||||||
−5.32757e10 | + | 3.07588e10i | −0.577994 | + | 0.333705i | |||||
0 | 0 | |||||||||
2.62770e10 | − | 4.55131e10i | 0.280980 | − | 0.486671i | |||||
9.81649e10 | + | 5.66755e10i | 1.04212 | + | 0.601667i | |||||
0 | 0 | |||||||||
2.72934e10 | + | 4.72735e10i | 0.285600 | + | 0.494674i | |||||
− | 3.65617e10i | − | 0.379844i | −0.981799 | − | 0.189922i | ||||
0.981799 | − | 0.189922i | ||||||||
0 | 0 | |||||||||
8.70499e9 | 0.0891499 | |||||||||
6.30115e10 | − | 3.63797e10i | 0.640719 | − | 0.369919i | |||||
0 | 0 | |||||||||
−4.46146e10 | + | 7.72748e10i | −0.447231 | + | 0.774627i | |||||
1.15433e11 | + | 6.66450e10i | 1.14893 | + | 0.663337i | 0.948627 | − | 0.316397i | ||
0.200306 | + | 0.979733i | ||||||||
0 | 0 | |||||||||
−1.54354e11 | − | 2.67348e11i | −1.51469 | − | 2.62352i | |||||
1.10163e10i | 0.107342i | |||||||||
0 | 0 | |||||||||
2.45577e10 | 0.235936 | |||||||||
1.42643e11 | − | 8.23549e10i | 1.36082 | − | 0.785670i | 0.371087 | − | 0.928598i | ||
0.989733 | + | 0.142928i | ||||||||
0 | 0 | |||||||||
−6.84597e10 | + | 1.18576e11i | −0.644007 | + | 1.11545i | 0.340523 | + | 0.940236i | ||
−0.984530 | + | 0.175216i | ||||||||
−8.87167e9 | − | 5.12206e9i | −0.0828745 | − | 0.0478476i | |||||
0 | 0 | |||||||||
−4.13525e10 | − | 7.16247e10i | −0.380938 | − | 0.659804i | |||||
− | 8.24235e10i | − | 0.754015i | |||||||
0 | 0 | |||||||||
−1.01555e11 | −0.916218 | −0.458109 | − | 0.888896i | ||||||
−0.458109 | + | 0.888896i | ||||||||
7.19976e9 | − | 4.15678e9i | 0.0645070 | − | 0.0372431i | |||||
0 | 0 | |||||||||
3.43881e10 | − | 5.95619e10i | 0.303876 | − | 0.526328i | |||||
−1.14807e11 | − | 6.62840e10i | −1.00755 | − | 0.581707i | |||||
0 | 0 | |||||||||
−5.09485e9 | − | 8.82453e9i | −0.0441018 | − | 0.0763866i | |||||
− | 3.51519e10i | − | 0.302202i | |||||||
0 | 0 | |||||||||
−6.00184e10 | −0.508972 | |||||||||
3.25669e10 | − | 1.88025e10i | 0.274299 | − | 0.158367i | −0.356541 | − | 0.934280i | ||
0.630840 | + | 0.775913i | ||||||||
0 | 0 | |||||||||
−7.14626e10 | + | 1.23777e11i | −0.593769 | + | 1.02844i | |||||
1.06303e11 | + | 6.13741e10i | 0.877278 | + | 0.506497i | |||||
0 | 0 | |||||||||
−9.84229e9 | − | 1.70474e10i | −0.0801326 | − | 0.138794i | |||||
1.30215e11i | 1.05304i | 0.850163 | + | 0.526519i | ||||||
−0.850163 | + | 0.526519i | ||||||||
0 | 0 | |||||||||
3.89953e11 | 3.11132 | |||||||||
−4.77998e10 | + | 2.75972e10i | −0.378827 | + | 0.218716i | |||||
0 | 0 | |||||||||
−4.94856e9 | + | 8.57115e9i | −0.0386967 | + | 0.0670246i | |||||
−1.13848e11 | − | 6.57304e10i | −0.884341 | − | 0.510575i | −0.0122537 | − | 0.999925i | ||
−0.872087 | + | 0.489350i | ||||||||
0 | 0 | |||||||||
2.15092e10 | + | 3.72550e10i | 0.164864 | + | 0.285553i | 0.936607 | − | 0.350382i | ||
−0.771743 | + | 0.635935i | ||||||||
− | 4.91969e10i | − | 0.374586i | |||||||
0 | 0 | |||||||||
−1.07592e11 | −0.808409 | |||||||||
1.12081e11 | − | 6.47102e10i | 0.836588 | − | 0.483004i | |||||
0 | 0 | |||||||||
−1.29606e10 | + | 2.24485e10i | −0.0954710 | + | 0.165361i | −0.909805 | − | 0.415036i | ||
0.814334 | + | 0.580396i | ||||||||
1.98483e10 | + | 1.14594e10i | 0.145248 | + | 0.0838588i | |||||
0 | 0 | |||||||||
−5.07990e10 | − | 8.79865e10i | −0.366890 | − | 0.635472i | |||||
3.61866e10i | 0.259646i | |||||||||
0 | 0 | |||||||||
1.28485e11 | 0.909933 | 0.454967 | − | 0.890508i | ||||||
0.454967 | + | 0.890508i | ||||||||
−1.31529e11 | + | 7.59383e10i | −0.925439 | + | 0.534303i | |||||
0 | 0 | |||||||||
−2.89477e10 | + | 5.01389e10i | −0.201044 | + | 0.348219i | |||||
1.02289e11 | + | 5.90563e10i | 0.705808 | + | 0.407498i | 0.809507 | − | 0.587110i | ||
−0.103699 | + | 0.994609i | ||||||||
0 | 0 | |||||||||
−6.40218e10 | − | 1.10889e11i | −0.436079 | − | 0.755312i | 0.561304 | − | 0.827610i | ||
−0.997383 | + | 0.0722982i | ||||||||
− | 1.59789e11i | − | 1.08139i | |||||||
0 | 0 | |||||||||
2.59046e10 | 0.173068 | |||||||||
7.48177e10 | − | 4.31960e10i | 0.496652 | − | 0.286742i | |||||
0 | 0 | |||||||||
−7.30176e10 | + | 1.26470e11i | −0.478528 | + | 0.828835i | |||||
−1.75219e11 | − | 1.01163e11i | −1.14100 | − | 0.658754i | |||||
0 | 0 | |||||||||
−2.69977e10 | − | 4.67613e10i | −0.173575 | − | 0.300641i | |||||
− | 1.05499e11i | − | 0.673980i | |||||||
0 | 0 | |||||||||
−2.40613e11 | −1.51775 | −0.758877 | − | 0.651233i | ||||||
−0.758877 | + | 0.651233i | ||||||||
−1.60280e10 | + | 9.25377e9i | −0.100464 | + | 0.0580030i | |||||
0 | 0 | |||||||||
3.77159e10 | − | 6.53258e10i | 0.233436 | − | 0.404322i | |||||
7.65738e10 | + | 4.42099e10i | 0.470961 | + | 0.271910i | |||||
0 | 0 | |||||||||
−4.58740e10 | − | 7.94561e10i | −0.278618 | − | 0.482580i | |||||
5.47259e10i | 0.330301i | |||||||||
0 | 0 | |||||||||
−2.56231e10 | −0.152726 | |||||||||
−1.87111e11 | + | 1.08029e11i | −1.10833 | + | 0.639893i | −0.938396 | − | 0.345563i | ||
−0.169932 | + | 0.985456i | ||||||||
0 | 0 | |||||||||
−1.85669e10 | + | 3.21588e10i | −0.108616 | + | 0.188129i | −0.915210 | − | 0.402977i | ||
0.806594 | + | 0.591106i | ||||||||
4.84405e10 | + | 2.79671e10i | 0.281621 | + | 0.162594i | |||||
0 | 0 | |||||||||
6.14167e10 | + | 1.06377e11i | 0.352660 | + | 0.610825i | |||||
5.88598e10i | 0.335894i | 0.985796 | + | 0.167947i | ||||||
−0.985796 | + | 0.167947i | ||||||||
0 | 0 | |||||||||
−9.76719e10 | −0.550543 | |||||||||
6.25603e10 | − | 3.61192e10i | 0.350465 | − | 0.202341i | |||||
0 | 0 | |||||||||
−3.52523e10 | + | 6.10588e10i | −0.195073 | + | 0.337877i | |||||
1.48938e11 | + | 8.59893e10i | 0.819129 | + | 0.472925i | 0.850116 | − | 0.526595i | ||
−0.0309867 | + | 0.999520i | ||||||||
0 | 0 | |||||||||
2.04384e11 | + | 3.54003e11i | 1.11040 | + | 1.92328i | |||||
2.91256e10i | 0.157275i | |||||||||
0 | 0 | |||||||||
2.04511e11 | 1.09097 | |||||||||
−2.34850e11 | + | 1.35591e11i | −1.24523 | + | 0.718934i | −0.970154 | − | 0.242489i | ||
−0.275075 | + | 0.961423i | ||||||||
0 | 0 | |||||||||
1.21597e11 | − | 2.10613e11i | 0.636968 | − | 1.10326i | −0.349126 | − | 0.937076i | ||
0.986095 | − | 0.166185i | ||||||||
1.53689e11 | + | 8.87325e10i | 0.800223 | + | 0.462009i | |||||
0 | 0 | |||||||||
2.33427e10 | + | 4.04308e10i | 0.120082 | + | 0.207989i | |||||
5.49082e11i | 2.80770i | |||||||||
0 | 0 | |||||||||
5.28721e10 | 0.267130 | |||||||||
−6.72704e10 | + | 3.88386e10i | −0.337846 | + | 0.195055i | |||||
0 | 0 | |||||||||
7.56521e10 | − | 1.31033e11i | 0.375424 | − | 0.650253i | |||||
7.00118e10 | + | 4.04213e10i | 0.345367 | + | 0.199398i | |||||
0 | 0 | |||||||||
1.44609e10 | + | 2.50471e10i | 0.0704914 | + | 0.122095i | 0.899117 | − | 0.437709i | ||
−0.828625 | + | 0.559804i | ||||||||
− | 2.92320e10i | − | 0.141651i | |||||||
0 | 0 | |||||||||
9.57394e10 | 0.458463 | |||||||||
−1.58076e11 | + | 9.12654e10i | −0.752509 | + | 0.434462i | −0.826600 | − | 0.562790i | ||
0.0740905 | + | 0.997252i | ||||||||
0 | 0 | |||||||||
−1.83671e11 | + | 3.18127e11i | −0.864095 | + | 1.49666i | |||||
−1.18929e11 | − | 6.86634e10i | −0.556225 | − | 0.321137i | |||||
0 | 0 | |||||||||
6.35730e10 | + | 1.10112e11i | 0.293857 | + | 0.508974i | |||||
− | 3.71514e11i | − | 1.70723i | −0.520903 | − | 0.853616i | ||||
0.520903 | − | 0.853616i | ||||||||
0 | 0 | |||||||||
1.04359e11 | 0.473989 | |||||||||
−2.16783e11 | + | 1.25159e11i | −0.978876 | + | 0.565155i | |||||
0 | 0 | |||||||||
−8.66264e9 | + | 1.50041e10i | −0.0386631 | + | 0.0669665i | |||||
−7.47209e9 | − | 4.31401e9i | −0.0331562 | − | 0.0191428i | |||||
0 | 0 | |||||||||
−9.88238e10 | − | 1.71168e11i | −0.433460 | − | 0.750775i | 0.563708 | − | 0.825974i | ||
−0.997169 | + | 0.0751987i | ||||||||
− | 1.22175e11i | − | 0.532794i | |||||||
0 | 0 | |||||||||
1.90246e11 | 0.820119 | |||||||||
3.98846e11 | − | 2.30274e11i | 1.70949 | − | 0.986973i | |||||
0 | 0 | |||||||||
−7.80492e10 | + | 1.35185e11i | −0.330702 | + | 0.572793i | |||||
−2.39788e11 | − | 1.38442e11i | −1.01020 | − | 0.583237i | |||||
0 | 0 | |||||||||
−2.04130e11 | − | 3.53564e11i | −0.850189 | − | 1.47257i | |||||
− | 6.70096e10i | − | 0.277501i | −0.990327 | − | 0.138751i | ||||
0.990327 | − | 0.138751i | ||||||||
0 | 0 | |||||||||
1.48551e11 | 0.608209 | |||||||||
1.76570e10 | − | 1.01943e10i | 0.0718831 | − | 0.0415017i | |||||
0 | 0 | |||||||||
−5.91201e10 | + | 1.02399e11i | −0.237967 | + | 0.412170i | |||||
−1.26832e11 | − | 7.32264e10i | −0.507634 | − | 0.293083i | |||||
0 | 0 | |||||||||
5.70291e10 | + | 9.87774e10i | 0.225690 | + | 0.390906i | 0.956526 | − | 0.291647i | ||
−0.730836 | + | 0.682553i | ||||||||
− | 2.07193e11i | − | 0.815345i | |||||||
0 | 0 | |||||||||
−3.04240e10 | −0.118385 | |||||||||
1.06382e11 | − | 6.14196e10i | 0.411632 | − | 0.237656i | |||||
0 | 0 | |||||||||
−4.32147e10 | + | 7.48501e10i | −0.165351 | + | 0.286397i | |||||
1.04646e11 | + | 6.04172e10i | 0.398171 | + | 0.229884i | |||||
0 | 0 | |||||||||
−1.34348e11 | − | 2.32698e11i | −0.505516 | − | 0.875580i | |||||
2.31072e11i | 0.864633i | 0.901722 | + | 0.432317i | ||||||
−0.901722 | + | 0.432317i | ||||||||
0 | 0 | |||||||||
3.58007e10 | 0.132480 | |||||||||
1.66181e10 | − | 9.59444e9i | 0.0611549 | − | 0.0353078i | |||||
0 | 0 | |||||||||
−5.55667e10 | + | 9.62444e10i | −0.202237 | + | 0.350285i | |||||
−3.34208e11 | − | 1.92955e11i | −1.20966 | − | 0.698400i | |||||
0 | 0 | |||||||||
1.70637e11 | + | 2.95551e11i | 0.610850 | + | 1.05802i | 0.991097 | + | 0.133138i | ||
−0.380248 | + | 0.924885i | ||||||||
4.90224e10i | 0.174530i | |||||||||
0 | 0 | |||||||||
−2.96576e11 | −1.04435 | |||||||||
−8.04145e10 | + | 4.64274e10i | −0.281621 | + | 0.162594i | |||||
0 | 0 | |||||||||
2.07203e11 | − | 3.58887e11i | 0.717763 | − | 1.24320i | −0.244122 | − | 0.969745i | ||
0.961884 | − | 0.273457i | ||||||||
1.01396e11 | + | 5.85408e10i | 0.349330 | + | 0.201685i | |||||
0 | 0 | |||||||||
−9.84897e9 | − | 1.70589e10i | −0.0335645 | − | 0.0581353i | |||||
1.20394e11i | 0.408071i | |||||||||
0 | 0 | |||||||||
2.71838e11 | 0.911449 | 0.455725 | − | 0.890121i | ||||||
0.455725 | + | 0.890121i | ||||||||
−1.43828e11 | + | 8.30392e10i | −0.479642 | + | 0.276921i | |||||
0 | 0 | |||||||||
−2.43810e10 | + | 4.22291e10i | −0.0804332 | + | 0.139314i | |||||
2.96676e11 | + | 1.71286e11i | 0.973479 | + | 0.562039i | 0.900295 | − | 0.435280i | ||
0.0731842 | + | 0.997318i | ||||||||
0 | 0 | |||||||||
2.32837e11 | + | 4.03286e11i | 0.755835 | + | 1.30914i | |||||
9.11142e10i | 0.294192i | |||||||||
0 | 0 | |||||||||
1.09272e11 | 0.349063 | |||||||||
8.34547e11 | − | 4.81826e11i | 2.65170 | − | 1.53096i | |||||
0 | 0 | |||||||||
−5.25839e10 | + | 9.10780e10i | −0.165308 | + | 0.286321i | −0.936765 | − | 0.349960i | ||
0.771457 | + | 0.636282i | ||||||||
−6.23721e10 | − | 3.60105e10i | −0.195038 | − | 0.112605i | |||||
0 | 0 | |||||||||
2.31693e10 | + | 4.01304e10i | 0.0716849 | + | 0.124162i | |||||
9.07750e11i | 2.79369i | |||||||||
0 | 0 | |||||||||
−4.23531e11 | −1.28974 | −0.644869 | − | 0.764293i | ||||||
−0.644869 | + | 0.764293i | ||||||||
2.57900e11 | − | 1.48898e11i | 0.781221 | − | 0.451038i | |||||
0 | 0 | |||||||||
9.66830e10 | − | 1.67460e11i | 0.289798 | − | 0.501945i | |||||
−4.62418e11 | − | 2.66977e11i | −1.37878 | − | 0.796041i | −0.386770 | − | 0.922176i | ||
−0.992013 | + | 0.126135i | ||||||||
0 | 0 | |||||||||
−5.47931e11 | − | 9.49044e11i | −1.61669 | − | 2.80019i | |||||
− | 9.01526e9i | − | 0.0264609i | |||||||
0 | 0 | |||||||||
−3.46118e11 | −1.00533 | |||||||||
−7.16228e10 | + | 4.13514e10i | −0.206952 | + | 0.119484i | |||||
0 | 0 | |||||||||
−5.66789e10 | + | 9.81707e10i | −0.162075 | + | 0.280722i | −0.935613 | − | 0.353028i | ||
0.773538 | + | 0.633750i | ||||||||
4.23021e11 | + | 2.44231e11i | 1.20337 | + | 0.694766i | |||||
0 | 0 | |||||||||
1.75195e11 | + | 3.03447e11i | 0.493234 | + | 0.854306i | |||||
− | 2.83942e11i | − | 0.795265i | −0.917545 | − | 0.397632i | ||||
0.917545 | − | 0.397632i | ||||||||
0 | 0 | |||||||||
−8.96595e11 | −2.48536 | |||||||||
1.12032e11 | − | 6.46820e10i | 0.308956 | − | 0.178376i | |||||
0 | 0 | |||||||||
2.46119e11 | − | 4.26290e11i | 0.671779 | − | 1.16355i | |||||
−1.90350e11 | − | 1.09899e11i | −0.516897 | − | 0.298430i | |||||
0 | 0 | |||||||||
8.24328e10 | + | 1.42778e11i | 0.221562 | + | 0.383757i | |||||
− | 1.05571e11i | − | 0.282304i | |||||||
0 | 0 | |||||||||
1.82603e11 | 0.483331 | |||||||||
−3.94524e11 | + | 2.27779e11i | −1.03895 | + | 0.599839i | |||||
0 | 0 | |||||||||
3.25568e11 | − | 5.63900e11i | 0.848678 | − | 1.46995i | −0.0337110 | − | 0.999432i | ||
0.882389 | − | 0.470521i | ||||||||
6.06662e10 | + | 3.50257e10i | 0.157341 | + | 0.0908409i | |||||
0 | 0 | |||||||||
7.80739e10 | + | 1.35228e11i | 0.200446 | + | 0.347183i | |||||
− | 1.17550e12i | − | 3.00273i | |||||||
0 | 0 | |||||||||
6.84528e10 | 0.173100 | |||||||||
−4.22703e11 | + | 2.44047e11i | −1.06354 | + | 0.614034i | |||||
0 | 0 | |||||||||
−1.70539e11 | + | 2.95382e11i | −0.424787 | + | 0.735753i | |||||
−4.16469e11 | − | 2.40448e11i | −1.03216 | − | 0.595921i | −0.114561 | − | 0.993416i | ||
−0.917604 | + | 0.397496i | ||||||||
0 | 0 | |||||||||
−1.92998e11 | − | 3.34283e11i | −0.473550 | − | 0.820213i | |||||
1.43774e11i | 0.351011i | |||||||||
0 | 0 | |||||||||
−2.05699e11 | −0.497204 | |||||||||
2.04372e11 | − | 1.17994e11i | 0.491541 | − | 0.283791i | |||||
0 | 0 | |||||||||
2.35958e11 | − | 4.08692e11i | 0.561890 | − | 0.973223i | |||||
9.32361e10 | + | 5.38299e10i | 0.220925 | + | 0.127551i | |||||
0 | 0 | |||||||||
2.57876e10 | + | 4.46654e10i | 0.0605013 | + | 0.104791i | |||||
1.97505e11i | 0.461089i | 0.973062 | + | 0.230545i | ||||||
−0.973062 | + | 0.230545i | ||||||||
0 | 0 | |||||||||
−1.30697e11 | −0.302121 | −0.151061 | − | 0.988524i | ||||||
−0.151061 | + | 0.988524i | ||||||||
2.26800e11 | − | 1.30943e11i | 0.521698 | − | 0.301203i | |||||
0 | 0 | |||||||||
6.60752e10 | − | 1.14446e11i | 0.150501 | − | 0.260676i | |||||
5.15152e11 | + | 2.97423e11i | 1.16763 | + | 0.674131i | |||||
0 | 0 | |||||||||
−6.53730e10 | − | 1.13229e11i | −0.146727 | − | 0.254139i | |||||
7.32504e10i | 0.163605i | |||||||||
0 | 0 | |||||||||
2.45732e11 | 0.543509 | |||||||||
−2.25465e10 | + | 1.30172e10i | −0.0496256 | + | 0.0286514i | −0.524608 | − | 0.851344i | ||
0.474982 | + | 0.879996i | ||||||||
0 | 0 | |||||||||
1.02310e11 | − | 1.77206e11i | 0.223007 | − | 0.386260i | −0.732712 | − | 0.680539i | ||
0.955720 | + | 0.294278i | ||||||||
−1.09185e10 | − | 6.30382e9i | −0.0236840 | − | 0.0136740i | |||||
0 | 0 | |||||||||
2.33701e11 | + | 4.04781e11i | 0.502042 | + | 0.869562i | |||||
− | 2.31574e11i | − | 0.495072i | −0.968879 | − | 0.247536i | ||||
0.968879 | − | 0.247536i | ||||||||
0 | 0 | |||||||||
7.98205e11 | 1.69004 | 0.845019 | − | 0.534736i | ||||||
0.845019 | + | 0.534736i | ||||||||
3.41114e11 | − | 1.96942e11i | 0.718765 | − | 0.414979i | |||||
0 | 0 | |||||||||
8.63192e9 | − | 1.49509e10i | 0.0180142 | − | 0.0312015i | |||||
8.47545e11 | + | 4.89331e11i | 1.76029 | + | 1.01630i | |||||
0 | 0 | |||||||||
3.27681e11 | + | 5.67559e11i | 0.674070 | + | 1.16752i | |||||
1.53863e11i | 0.315000i | |||||||||
0 | 0 | |||||||||
−4.28623e11 | −0.869160 | |||||||||
−5.56790e11 | + | 3.21463e11i | −1.12368 | + | 0.648758i | −0.942338 | − | 0.334662i | ||
−0.181343 | + | 0.983420i | ||||||||
0 | 0 | |||||||||
−1.26349e11 | + | 2.18842e11i | −0.252573 | + | 0.437469i | |||||
−4.67914e11 | − | 2.70150e11i | −0.930931 | − | 0.537473i | |||||
0 | 0 | |||||||||
1.20210e11 | + | 2.08209e11i | 0.236902 | + | 0.410327i | |||||
− | 8.07752e11i | − | 1.58435i | |||||||
0 | 0 | |||||||||
4.92808e11 | 0.957511 | |||||||||
1.48715e10 | − | 8.58606e9i | 0.0287588 | − | 0.0166039i | |||||
0 | 0 | |||||||||
−3.85278e11 | + | 6.67321e11i | −0.738071 | + | 1.27838i | |||||
−1.10569e11 | − | 6.38370e10i | −0.210821 | − | 0.121718i | |||||
0 | 0 | |||||||||
9.75384e10 | + | 1.68942e11i | 0.184238 | + | 0.319110i | 0.943320 | − | 0.331886i | ||
−0.759081 | + | 0.650996i | ||||||||
− | 3.86866e11i | − | 0.727326i | |||||||
0 | 0 | |||||||||
−3.39362e11 | −0.632074 | |||||||||
3.84904e10 | − | 2.22224e10i | 0.0713557 | − | 0.0411972i | −0.463898 | − | 0.885889i | ||
0.535253 | + | 0.844692i | ||||||||
0 | 0 | |||||||||
−1.25294e11 | + | 2.17015e11i | −0.230122 | + | 0.398582i | −0.957844 | − | 0.287290i | ||
0.727722 | + | 0.685872i | ||||||||
1.26590e11 | + | 7.30866e10i | 0.231422 | + | 0.133611i | |||||
0 | 0 | |||||||||
1.54656e11 | + | 2.67871e11i | 0.280115 | + | 0.485174i | |||||
3.91558e11i | 0.705915i | 0.935639 | + | 0.352958i | ||||||
−0.935639 | + | 0.352958i | ||||||||
0 | 0 | |||||||||
−1.03079e12 | −1.84122 | |||||||||
6.82876e10 | − | 3.94259e10i | 0.121415 | − | 0.0700987i | |||||
0 | 0 | |||||||||
3.04224e11 | − | 5.26931e11i | 0.535937 | − | 0.928271i | |||||
−1.07602e11 | − | 6.21242e10i | −0.188687 | − | 0.108939i | |||||
0 | 0 | |||||||||
5.09714e10 | + | 8.82851e10i | 0.0885633 | + | 0.153396i | |||||
3.85921e11i | 0.667471i | |||||||||
0 | 0 | |||||||||
1.48651e11 | 0.254755 | |||||||||
−1.48070e12 | + | 8.54884e11i | −2.52601 | + | 1.45839i | |||||
0 | 0 | |||||||||
3.99055e10 | − | 6.91184e10i | 0.0674582 | − | 0.116841i | −0.830324 | − | 0.557282i | ||
0.897782 | + | 0.440441i | ||||||||
−8.35204e10 | − | 4.82206e10i | −0.140545 | − | 0.0811436i | |||||
0 | 0 | |||||||||
−8.60090e10 | − | 1.48972e11i | −0.143421 | − | 0.248413i | |||||
5.84453e11i | 0.970166i | 0.874468 | + | 0.485083i | ||||||
−0.874468 | + | 0.485083i | ||||||||
0 | 0 | |||||||||
7.52384e10 | 0.123765 | 0.0618823 | − | 0.998083i | ||||||
0.0618823 | + | 0.998083i | ||||||||
8.01294e10 | − | 4.62627e10i | 0.131215 | − | 0.0757569i | |||||
0 | 0 | |||||||||
−1.15756e11 | + | 2.00495e11i | −0.187849 | + | 0.325364i | |||||
−6.05896e11 | − | 3.49814e11i | −0.978822 | − | 0.565123i | −0.0769076 | − | 0.997038i | ||
−0.901914 | + | 0.431915i | ||||||||
0 | 0 | |||||||||
1.68343e11 | + | 2.91578e11i | 0.269518 | + | 0.466819i | |||||
2.56687e11i | 0.409113i | |||||||||
0 | 0 | |||||||||
3.71333e11 | 0.586548 | |||||||||
4.70694e11 | − | 2.71755e11i | 0.740172 | − | 0.427338i | |||||
0 | 0 | |||||||||
5.09739e11 | − | 8.82894e11i | 0.794430 | − | 1.37599i | |||||
−8.44963e10 | − | 4.87840e10i | −0.131101 | − | 0.0756911i | |||||
0 | 0 | |||||||||
−8.65455e10 | − | 1.49901e11i | −0.133088 | − | 0.230515i | |||||
− | 5.75137e11i | − | 0.880507i | |||||||
0 | 0 | |||||||||
9.20338e10 | 0.139652 | |||||||||
−1.69335e11 | + | 9.77658e10i | −0.255812 | + | 0.147693i | |||||
0 | 0 | |||||||||
−2.06983e11 | + | 3.58505e11i | −0.309928 | + | 0.536812i | |||||
8.12012e11 | + | 4.68815e11i | 1.21051 | + | 0.698888i | |||||
0 | 0 | |||||||||
−5.79947e10 | − | 1.00450e11i | −0.0856958 | − | 0.148429i | 0.819992 | − | 0.572375i | ||
−0.905687 | + | 0.423946i | ||||||||
5.33513e11i | 0.784877i | |||||||||
0 | 0 | |||||||||
4.13601e11 | 0.603137 | |||||||||
−9.81176e11 | + | 5.66482e11i | −1.42454 | + | 0.822456i | −0.996682 | − | 0.0813913i | ||
−0.427854 | + | 0.903848i | ||||||||
0 | 0 | |||||||||
−1.56709e11 | + | 2.71428e11i | −0.225533 | + | 0.390635i | |||||
2.35358e11 | + | 1.35884e11i | 0.337244 | + | 0.194708i | |||||
0 | 0 | |||||||||
−2.30424e11 | − | 3.99105e11i | −0.327299 | − | 0.566899i | |||||
1.55651e12i | 2.20127i | |||||||||
0 | 0 | |||||||||
−3.06256e11 | −0.429361 | −0.214680 | − | 0.976684i | ||||||
−0.214680 | + | 0.976684i | ||||||||
−1.43926e11 | + | 8.30956e10i | −0.200903 | + | 0.115992i | |||||
0 | 0 | |||||||||
3.24506e11 | − | 5.62060e11i | 0.449054 | − | 0.777784i | |||||
1.20896e11 | + | 6.97992e10i | 0.166573 | + | 0.0961709i | |||||
0 | 0 | |||||||||
4.65942e11 | + | 8.07035e11i | 0.636451 | + | 1.10237i | |||||
6.86069e11i | 0.933090i | |||||||||
0 | 0 | |||||||||
−9.22265e10 | −0.124355 | |||||||||
8.75115e11 | − | 5.05248e11i | 1.17490 | − | 0.678331i | 0.220074 | − | 0.975483i | ||
0.954830 | + | 0.297152i | ||||||||
0 | 0 | |||||||||
−6.89012e11 | + | 1.19340e12i | −0.917124 | + | 1.58851i | |||||
3.17439e11 | + | 1.83273e11i | 0.420723 | + | 0.242905i | |||||
0 | 0 | |||||||||
−5.71858e10 | − | 9.90488e10i | −0.0751452 | − | 0.130155i | |||||
− | 9.21929e11i | − | 1.20629i | |||||||
0 | 0 | |||||||||
−3.80033e11 | −0.493018 | −0.246509 | − | 0.969141i | ||||||
−0.246509 | + | 0.969141i | ||||||||
4.98950e11 | − | 2.88069e11i | 0.644533 | − | 0.372121i | |||||
0 | 0 | |||||||||
−3.03820e11 | + | 5.26232e11i | −0.389139 | + | 0.674009i | |||||
−4.20722e11 | − | 2.42904e11i | −0.536583 | − | 0.309796i | 0.207110 | − | 0.978318i | ||
−0.743693 | + | 0.668521i | ||||||||
0 | 0 | |||||||||
9.44541e10 | + | 1.63599e11i | 0.119447 | + | 0.206888i | |||||
− | 1.64601e11i | − | 0.207274i | |||||||
0 | 0 | |||||||||
−1.16311e11 | −0.145231 | |||||||||
−4.64773e9 | + | 2.68337e9i | −0.00577885 | + | 0.00333642i | −0.502887 | − | 0.864352i | ||
0.497108 | + | 0.867689i | ||||||||
0 | 0 | |||||||||
9.99106e10 | − | 1.73050e11i | 0.123182 | − | 0.213357i | |||||
−9.39635e11 | − | 5.42498e11i | −1.15363 | − | 0.666046i | |||||
0 | 0 | |||||||||
−2.61457e11 | − | 4.52857e11i | −0.318312 | − | 0.551332i | |||||
− | 2.87948e11i | − | 0.349094i | −0.984649 | − | 0.174547i | ||||
0.984649 | − | 0.174547i | ||||||||
0 | 0 | |||||||||
−7.60616e10 | −0.0914433 | |||||||||
−1.55520e11 | + | 8.97893e10i | −0.186189 | + | 0.107496i | |||||
0 | 0 | |||||||||
1.22782e11 | − | 2.12665e11i | 0.145772 | − | 0.252484i | |||||
3.44141e11 | + | 1.98690e11i | 0.406876 | + | 0.234910i | |||||
0 | 0 | |||||||||
−2.41670e11 | − | 4.18585e11i | −0.283354 | − | 0.490784i | |||||
− | 1.11897e11i | − | 0.130653i | |||||||
0 | 0 | |||||||||
5.67827e11 | 0.657519 | |||||||||
2.56017e12 | − | 1.47812e12i | 2.95230 | − | 1.70451i | |||||
0 | 0 | |||||||||
−4.51417e11 | + | 7.81877e11i | −0.516264 | + | 0.894195i | 0.483558 | + | 0.875312i | ||
−0.999822 | + | 0.0188827i | ||||||||
−1.50297e11 | − | 8.67741e10i | −0.171179 | − | 0.0988300i | |||||
0 | 0 | |||||||||
−5.45721e11 | − | 9.45216e11i | −0.616429 | − | 1.06769i | |||||
− | 8.08040e11i | − | 0.908983i | −0.890751 | − | 0.454492i | ||||
0.890751 | − | 0.454492i | ||||||||
0 | 0 | |||||||||
1.75368e12 | 1.95658 | |||||||||
5.71017e10 | − | 3.29677e10i | 0.0634473 | − | 0.0366313i | |||||
0 | 0 | |||||||||
−6.81198e10 | + | 1.17987e11i | −0.0750713 | + | 0.130027i | |||||
−1.39658e12 | − | 8.06317e11i | −1.53281 | − | 0.884968i | −0.999231 | − | 0.0392176i | ||
−0.533579 | − | 0.845750i | ||||||||
0 | 0 | |||||||||
−1.02124e11 | − | 1.76884e11i | −0.111173 | − | 0.192557i | |||||
− | 1.54062e12i | − | 1.67029i | |||||||
0 | 0 | |||||||||
−2.81812e11 | −0.303050 | |||||||||
−1.24469e12 | + | 7.18625e11i | −1.33306 | + | 0.769641i | −0.985767 | − | 0.168117i | ||
−0.347290 | + | 0.937758i | ||||||||
0 | 0 | |||||||||
2.95511e11 | − | 5.11840e11i | 0.313927 | − | 0.543737i | |||||
−4.28065e11 | − | 2.47143e11i | −0.452900 | − | 0.261482i | |||||
0 | 0 | |||||||||
6.51412e10 | + | 1.12828e11i | 0.0683641 | + | 0.118410i | |||||
1.12372e11i | 0.117455i | |||||||||
0 | 0 | |||||||||
−1.11953e12 | −1.16075 | −0.580377 | − | 0.814348i | ||||||
−0.580377 | + | 0.814348i | ||||||||
−1.85565e11 | + | 1.07136e11i | −0.191624 | + | 0.110634i | |||||
0 | 0 | |||||||||
3.94476e11 | − | 6.83252e11i | 0.404087 | − | 0.699899i | |||||
2.49213e12 | + | 1.43883e12i | 2.54261 | + | 1.46797i | |||||
0 | 0 | |||||||||
−4.45668e11 | − | 7.71920e11i | −0.451057 | − | 0.781253i | 0.547395 | − | 0.836874i | ||
−0.998452 | + | 0.0556212i | ||||||||
− | 1.85489e11i | − | 0.186981i | |||||||
0 | 0 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 54.9.d.a.17.1 | 16 | ||
3.2 | odd | 2 | 18.9.d.a.5.6 | ✓ | 16 | ||
4.3 | odd | 2 | 432.9.q.c.17.1 | 16 | |||
9.2 | odd | 6 | inner | 54.9.d.a.35.1 | 16 | ||
9.4 | even | 3 | 162.9.b.c.161.8 | 16 | |||
9.5 | odd | 6 | 162.9.b.c.161.9 | 16 | |||
9.7 | even | 3 | 18.9.d.a.11.6 | yes | 16 | ||
12.11 | even | 2 | 144.9.q.b.113.5 | 16 | |||
36.7 | odd | 6 | 144.9.q.b.65.5 | 16 | |||
36.11 | even | 6 | 432.9.q.c.305.1 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
18.9.d.a.5.6 | ✓ | 16 | 3.2 | odd | 2 | ||
18.9.d.a.11.6 | yes | 16 | 9.7 | even | 3 | ||
54.9.d.a.17.1 | 16 | 1.1 | even | 1 | trivial | ||
54.9.d.a.35.1 | 16 | 9.2 | odd | 6 | inner | ||
144.9.q.b.65.5 | 16 | 36.7 | odd | 6 | |||
144.9.q.b.113.5 | 16 | 12.11 | even | 2 | |||
162.9.b.c.161.8 | 16 | 9.4 | even | 3 | |||
162.9.b.c.161.9 | 16 | 9.5 | odd | 6 | |||
432.9.q.c.17.1 | 16 | 4.3 | odd | 2 | |||
432.9.q.c.305.1 | 16 | 36.11 | even | 6 |