Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [285,2,Mod(106,285)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(285, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("285.106");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 285.i (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: | |
Coefficient field: | |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
|
Coefficient ring: | |
Coefficient ring index: | |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 106.1 | ||
Root | of defining polynomial | ||
Character | 285.106 | ||
Dual form | 285.2.i.a.121.1 |
-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 .
−1.00000 | + | 1.73205i | −0.707107 | + | 1.22474i | 0.258819 | + | 0.965926i | ||
−0.965926 | + | 0.258819i | ||||||||
−0.500000 | + | 0.866025i | −0.288675 | + | 0.500000i | |||||
−1.00000 | − | 1.73205i | −0.500000 | − | 0.866025i | |||||
0.500000 | − | 0.866025i | 0.223607 | − | 0.387298i | |||||
−1.00000 | − | 1.73205i | −0.408248 | − | 0.707107i | |||||
−2.00000 | −0.755929 | −0.377964 | − | 0.925820i | ||||||
−0.377964 | + | 0.925820i | ||||||||
0 | 0 | |||||||||
−0.500000 | − | 0.866025i | −0.166667 | − | 0.288675i | |||||
1.00000 | + | 1.73205i | 0.316228 | + | 0.547723i | |||||
−3.00000 | −0.904534 | −0.452267 | − | 0.891883i | ||||||
−0.452267 | + | 0.891883i | ||||||||
2.00000 | 0.577350 | |||||||||
−3.00000 | − | 5.19615i | −0.832050 | − | 1.44115i | −0.896410 | − | 0.443227i | ||
0.0643593 | − | 0.997927i | ||||||||
2.00000 | − | 3.46410i | 0.534522 | − | 0.925820i | |||||
0.500000 | + | 0.866025i | 0.129099 | + | 0.223607i | |||||
2.00000 | − | 3.46410i | 0.500000 | − | 0.866025i | |||||
−3.00000 | + | 5.19615i | −0.727607 | + | 1.26025i | 0.230285 | + | 0.973123i | ||
−0.957892 | + | 0.287129i | ||||||||
2.00000 | 0.471405 | |||||||||
−3.50000 | − | 2.59808i | −0.802955 | − | 0.596040i | |||||
−2.00000 | −0.447214 | |||||||||
1.00000 | − | 1.73205i | 0.218218 | − | 0.377964i | |||||
3.00000 | − | 5.19615i | 0.639602 | − | 1.10782i | |||||
4.00000 | + | 6.92820i | 0.834058 | + | 1.44463i | 0.894795 | + | 0.446476i | ||
−0.0607377 | + | 0.998154i | ||||||||
0 | 0 | |||||||||
−0.500000 | − | 0.866025i | −0.100000 | − | 0.173205i | |||||
12.0000 | 2.35339 | |||||||||
1.00000 | 0.192450 | |||||||||
2.00000 | + | 3.46410i | 0.377964 | + | 0.654654i | |||||
−3.50000 | − | 6.06218i | −0.649934 | − | 1.12572i | −0.983138 | − | 0.182864i | ||
0.333205 | − | 0.942855i | ||||||||
−2.00000 | −0.365148 | |||||||||
9.00000 | 1.61645 | 0.808224 | − | 0.588875i | ||||||
0.808224 | + | 0.588875i | ||||||||
4.00000 | + | 6.92820i | 0.707107 | + | 1.22474i | |||||
1.50000 | − | 2.59808i | 0.261116 | − | 0.452267i | |||||
−6.00000 | − | 10.3923i | −1.02899 | − | 1.78227i | |||||
−1.00000 | + | 1.73205i | −0.169031 | + | 0.292770i | |||||
−1.00000 | + | 1.73205i | −0.166667 | + | 0.288675i | |||||
−2.00000 | −0.328798 | −0.164399 | − | 0.986394i | ||||||
−0.164399 | + | 0.986394i | ||||||||
8.00000 | − | 3.46410i | 1.29777 | − | 0.561951i | |||||
6.00000 | 0.960769 | |||||||||
0 | 0 | |||||||||
−3.00000 | + | 5.19615i | −0.468521 | + | 0.811503i | −0.999353 | − | 0.0359748i | ||
0.530831 | + | 0.847477i | ||||||||
2.00000 | + | 3.46410i | 0.308607 | + | 0.534522i | |||||
−5.00000 | + | 8.66025i | −0.762493 | + | 1.32068i | 0.179069 | + | 0.983836i | ||
−0.941562 | + | 0.336840i | ||||||||
3.00000 | + | 5.19615i | 0.452267 | + | 0.783349i | |||||
−1.00000 | −0.149071 | |||||||||
−16.0000 | −2.35907 | |||||||||
−2.00000 | − | 3.46410i | −0.291730 | − | 0.505291i | 0.682489 | − | 0.730896i | ||
−0.974219 | + | 0.225605i | ||||||||
2.00000 | + | 3.46410i | 0.288675 | + | 0.500000i | |||||
−3.00000 | −0.428571 | |||||||||
2.00000 | 0.282843 | |||||||||
−3.00000 | − | 5.19615i | −0.420084 | − | 0.727607i | |||||
−6.00000 | + | 10.3923i | −0.832050 | + | 1.44115i | |||||
−7.00000 | − | 12.1244i | −0.961524 | − | 1.66541i | −0.718677 | − | 0.695344i | ||
−0.242846 | − | 0.970065i | ||||||||
−1.00000 | + | 1.73205i | −0.136083 | + | 0.235702i | |||||
−1.50000 | + | 2.59808i | −0.202260 | + | 0.350325i | |||||
0 | 0 | |||||||||
4.00000 | − | 1.73205i | 0.529813 | − | 0.229416i | |||||
14.0000 | 1.83829 | |||||||||
−1.50000 | + | 2.59808i | −0.195283 | + | 0.338241i | −0.946993 | − | 0.321253i | ||
0.751710 | + | 0.659494i | ||||||||
1.00000 | − | 1.73205i | 0.129099 | − | 0.223607i | |||||
3.50000 | + | 6.06218i | 0.448129 | + | 0.776182i | 0.998264 | − | 0.0588933i | ||
−0.550135 | + | 0.835076i | ||||||||
−9.00000 | + | 15.5885i | −1.14300 | + | 1.97974i | |||||
1.00000 | + | 1.73205i | 0.125988 | + | 0.218218i | |||||
−8.00000 | −1.00000 | |||||||||
−6.00000 | −0.744208 | |||||||||
3.00000 | + | 5.19615i | 0.369274 | + | 0.639602i | |||||
−2.00000 | − | 3.46410i | −0.244339 | − | 0.423207i | 0.717607 | − | 0.696449i | ||
−0.961946 | + | 0.273241i | ||||||||
12.0000 | 1.45521 | |||||||||
−8.00000 | −0.963087 | |||||||||
−2.00000 | − | 3.46410i | −0.239046 | − | 0.414039i | |||||
−3.50000 | + | 6.06218i | −0.415374 | + | 0.719448i | −0.995468 | − | 0.0951014i | ||
0.580094 | + | 0.814550i | ||||||||
0 | 0 | |||||||||
−1.00000 | + | 1.73205i | −0.117041 | + | 0.202721i | −0.918594 | − | 0.395203i | ||
0.801553 | + | 0.597924i | ||||||||
2.00000 | − | 3.46410i | 0.232495 | − | 0.402694i | |||||
1.00000 | 0.115470 | |||||||||
−1.00000 | + | 8.66025i | −0.114708 | + | 0.993399i | |||||
6.00000 | 0.683763 | |||||||||
−6.00000 | + | 10.3923i | −0.679366 | + | 1.17670i | |||||
−2.50000 | + | 4.33013i | −0.281272 | + | 0.487177i | −0.971698 | − | 0.236225i | ||
0.690426 | + | 0.723403i | ||||||||
−2.00000 | − | 3.46410i | −0.223607 | − | 0.387298i | |||||
−0.500000 | + | 0.866025i | −0.0555556 | + | 0.0962250i | |||||
−6.00000 | − | 10.3923i | −0.662589 | − | 1.14764i | |||||
−6.00000 | −0.658586 | −0.329293 | − | 0.944228i | ||||||
−0.329293 | + | 0.944228i | ||||||||
−4.00000 | −0.436436 | |||||||||
3.00000 | + | 5.19615i | 0.325396 | + | 0.563602i | |||||
−10.0000 | − | 17.3205i | −1.07833 | − | 1.86772i | |||||
7.00000 | 0.750479 | |||||||||
0 | 0 | |||||||||
−1.50000 | − | 2.59808i | −0.159000 | − | 0.275396i | 0.775509 | − | 0.631337i | ||
−0.934508 | + | 0.355942i | ||||||||
1.00000 | − | 1.73205i | 0.105409 | − | 0.182574i | |||||
6.00000 | + | 10.3923i | 0.628971 | + | 1.08941i | |||||
8.00000 | − | 13.8564i | 0.834058 | − | 1.44463i | |||||
−4.50000 | + | 7.79423i | −0.466628 | + | 0.808224i | |||||
8.00000 | 0.825137 | |||||||||
−4.00000 | + | 1.73205i | −0.410391 | + | 0.177705i | |||||
−8.00000 | −0.816497 | |||||||||
6.00000 | − | 10.3923i | 0.609208 | − | 1.05518i | −0.382164 | − | 0.924095i | ||
0.991371 | − | 0.131084i | ||||||||
3.00000 | − | 5.19615i | 0.303046 | − | 0.524891i | |||||
1.50000 | + | 2.59808i | 0.150756 | + | 0.261116i | |||||
−1.00000 | + | 1.73205i | −0.100000 | + | 0.173205i | |||||
1.50000 | + | 2.59808i | 0.149256 | + | 0.258518i | 0.930953 | − | 0.365140i | ||
−0.781697 | + | 0.623658i | ||||||||
12.0000 | 1.18818 | |||||||||
−8.00000 | −0.788263 | −0.394132 | − | 0.919054i | ||||||
−0.394132 | + | 0.919054i | ||||||||
0 | 0 | |||||||||
−1.00000 | − | 1.73205i | −0.0975900 | − | 0.169031i | |||||
28.0000 | 2.71960 | |||||||||
12.0000 | 1.16008 | 0.580042 | − | 0.814587i | ||||||
0.580042 | + | 0.814587i | ||||||||
−1.00000 | − | 1.73205i | −0.0962250 | − | 0.166667i | |||||
−1.50000 | + | 2.59808i | −0.143674 | + | 0.248851i | −0.928877 | − | 0.370387i | ||
0.785203 | + | 0.619238i | ||||||||
−3.00000 | − | 5.19615i | −0.286039 | − | 0.495434i | |||||
1.00000 | − | 1.73205i | 0.0949158 | − | 0.164399i | |||||
−4.00000 | + | 6.92820i | −0.377964 | + | 0.654654i | |||||
6.00000 | 0.564433 | 0.282216 | − | 0.959351i | ||||||
0.282216 | + | 0.959351i | ||||||||
−1.00000 | + | 8.66025i | −0.0936586 | + | 0.811107i | |||||
8.00000 | 0.746004 | |||||||||
−7.00000 | + | 12.1244i | −0.649934 | + | 1.12572i | |||||
−3.00000 | + | 5.19615i | −0.277350 | + | 0.480384i | |||||
−3.00000 | − | 5.19615i | −0.276172 | − | 0.478345i | |||||
6.00000 | − | 10.3923i | 0.550019 | − | 0.952661i | |||||
0 | 0 | |||||||||
−2.00000 | −0.181818 | |||||||||
−14.0000 | −1.26750 | |||||||||
−3.00000 | − | 5.19615i | −0.270501 | − | 0.468521i | |||||
−9.00000 | − | 15.5885i | −0.808224 | − | 1.39988i | |||||
−1.00000 | −0.0894427 | |||||||||
−4.00000 | −0.356348 | |||||||||
4.00000 | + | 6.92820i | 0.354943 | + | 0.614779i | 0.987108 | − | 0.160055i | ||
−0.632166 | + | 0.774833i | ||||||||
0 | 0 | |||||||||
−5.00000 | − | 8.66025i | −0.440225 | − | 0.762493i | |||||
6.00000 | − | 10.3923i | 0.526235 | − | 0.911465i | |||||
4.00000 | − | 6.92820i | 0.349482 | − | 0.605320i | −0.636676 | − | 0.771132i | ||
0.986157 | + | 0.165812i | ||||||||
−6.00000 | −0.522233 | |||||||||
7.00000 | + | 5.19615i | 0.606977 | + | 0.450564i | |||||
8.00000 | 0.691095 | |||||||||
0.500000 | − | 0.866025i | 0.0430331 | − | 0.0745356i | |||||
0 | 0 | |||||||||
−1.00000 | − | 1.73205i | −0.0854358 | − | 0.147979i | 0.820141 | − | 0.572161i | ||
−0.905577 | + | 0.424182i | ||||||||
8.00000 | − | 13.8564i | 0.681005 | − | 1.17954i | |||||
2.00000 | + | 3.46410i | 0.169638 | + | 0.293821i | 0.938293 | − | 0.345843i | ||
−0.768655 | + | 0.639664i | ||||||||
4.00000 | 0.338062 | |||||||||
4.00000 | 0.336861 | |||||||||
−7.00000 | − | 12.1244i | −0.587427 | − | 1.01745i | |||||
9.00000 | + | 15.5885i | 0.752618 | + | 1.30357i | |||||
−4.00000 | −0.333333 | |||||||||
−7.00000 | −0.581318 | |||||||||
−2.00000 | − | 3.46410i | −0.165521 | − | 0.286691i | |||||
1.50000 | − | 2.59808i | 0.123718 | − | 0.214286i | |||||
2.00000 | + | 3.46410i | 0.164399 | + | 0.284747i | |||||
1.50000 | − | 2.59808i | 0.122885 | − | 0.212843i | −0.798019 | − | 0.602632i | ||
0.920904 | + | 0.389789i | ||||||||
−1.00000 | + | 1.73205i | −0.0816497 | + | 0.141421i | |||||
5.00000 | 0.406894 | 0.203447 | − | 0.979086i | ||||||
0.203447 | + | 0.979086i | ||||||||
0 | 0 | |||||||||
6.00000 | 0.485071 | |||||||||
−6.00000 | + | 10.3923i | −0.483494 | + | 0.837436i | |||||
4.50000 | − | 7.79423i | 0.361449 | − | 0.626048i | |||||
−6.00000 | − | 10.3923i | −0.480384 | − | 0.832050i | |||||
10.0000 | − | 17.3205i | 0.798087 | − | 1.38233i | −0.122774 | − | 0.992435i | ||
0.920860 | − | 0.389892i | ||||||||
−5.00000 | − | 8.66025i | −0.397779 | − | 0.688973i | |||||
14.0000 | 1.11027 | |||||||||
8.00000 | 0.632456 | |||||||||
−8.00000 | − | 13.8564i | −0.630488 | − | 1.09204i | |||||
−1.00000 | − | 1.73205i | −0.0785674 | − | 0.136083i | |||||
−10.0000 | −0.783260 | −0.391630 | − | 0.920123i | ||||||
−0.391630 | + | 0.920123i | ||||||||
12.0000 | 0.937043 | |||||||||
−1.50000 | − | 2.59808i | −0.116775 | − | 0.202260i | |||||
6.00000 | − | 10.3923i | 0.465690 | − | 0.806599i | |||||
−11.0000 | − | 19.0526i | −0.851206 | − | 1.47433i | −0.880121 | − | 0.474749i | ||
0.0289155 | − | 0.999582i | ||||||||
0 | 0 | |||||||||
−11.5000 | + | 19.9186i | −0.884615 | + | 1.53220i | |||||
−12.0000 | −0.920358 | |||||||||
−0.500000 | + | 4.33013i | −0.0382360 | + | 0.331133i | |||||
20.0000 | 1.52499 | |||||||||
−3.00000 | + | 5.19615i | −0.228086 | + | 0.395056i | −0.957241 | − | 0.289292i | ||
0.729155 | + | 0.684349i | ||||||||
−7.00000 | + | 12.1244i | −0.530669 | + | 0.919145i | |||||
1.00000 | + | 1.73205i | 0.0755929 | + | 0.130931i | |||||
−6.00000 | + | 10.3923i | −0.452267 | + | 0.783349i | |||||
−1.50000 | − | 2.59808i | −0.112747 | − | 0.195283i | |||||
6.00000 | 0.449719 | |||||||||
1.00000 | 0.0747435 | 0.0373718 | − | 0.999301i | ||||||
0.0373718 | + | 0.999301i | ||||||||
1.00000 | + | 1.73205i | 0.0745356 | + | 0.129099i | |||||
7.00000 | + | 12.1244i | 0.520306 | + | 0.901196i | 0.999721 | + | 0.0236082i | ||
−0.479415 | + | 0.877588i | ||||||||
−24.0000 | −1.77900 | |||||||||
−7.00000 | −0.517455 | |||||||||
0 | 0 | |||||||||
−1.00000 | + | 1.73205i | −0.0735215 | + | 0.127343i | |||||
−9.00000 | − | 15.5885i | −0.659912 | − | 1.14300i | |||||
9.00000 | − | 15.5885i | 0.658145 | − | 1.13994i | |||||
−4.00000 | + | 6.92820i | −0.291730 | + | 0.505291i | |||||
−2.00000 | −0.145479 | |||||||||
1.00000 | − | 8.66025i | 0.0725476 | − | 0.628281i | |||||
−5.00000 | −0.361787 | −0.180894 | − | 0.983503i | ||||||
−0.180894 | + | 0.983503i | ||||||||
4.00000 | − | 6.92820i | 0.288675 | − | 0.500000i | |||||
9.00000 | − | 15.5885i | 0.647834 | − | 1.12208i | −0.335805 | − | 0.941932i | ||
0.983639 | − | 0.180150i | ||||||||
12.0000 | + | 20.7846i | 0.861550 | + | 1.49225i | |||||
3.00000 | − | 5.19615i | 0.214834 | − | 0.372104i | |||||
3.00000 | + | 5.19615i | 0.214286 | + | 0.371154i | |||||
−18.0000 | −1.28245 | −0.641223 | − | 0.767354i | ||||||
−0.641223 | + | 0.767354i | ||||||||
−6.00000 | −0.426401 | |||||||||
5.50000 | + | 9.52628i | 0.389885 | + | 0.675300i | 0.992434 | − | 0.122782i | ||
−0.602549 | + | 0.798082i | ||||||||
0 | 0 | |||||||||
4.00000 | 0.282138 | |||||||||
−6.00000 | −0.422159 | |||||||||
7.00000 | + | 12.1244i | 0.491304 | + | 0.850963i | |||||
−6.00000 | + | 10.3923i | −0.420084 | + | 0.727607i | |||||
3.00000 | + | 5.19615i | 0.209529 | + | 0.362915i | |||||
8.00000 | − | 13.8564i | 0.557386 | − | 0.965422i | |||||
4.00000 | − | 6.92820i | 0.278019 | − | 0.481543i | |||||
−24.0000 | −1.66410 | |||||||||
10.5000 | + | 7.79423i | 0.726300 | + | 0.539138i | |||||
4.00000 | 0.276026 | |||||||||
−6.50000 | + | 11.2583i | −0.447478 | + | 0.775055i | −0.998221 | − | 0.0596196i | ||
0.550743 | + | 0.834675i | ||||||||
−14.0000 | + | 24.2487i | −0.961524 | + | 1.66541i | |||||
−3.50000 | − | 6.06218i | −0.239816 | − | 0.415374i | |||||
−12.0000 | + | 20.7846i | −0.820303 | + | 1.42081i | |||||
5.00000 | + | 8.66025i | 0.340997 | + | 0.590624i | |||||
0 | 0 | |||||||||
−18.0000 | −1.22192 | |||||||||
−3.00000 | − | 5.19615i | −0.203186 | − | 0.351928i | |||||
−1.00000 | − | 1.73205i | −0.0675737 | − | 0.117041i | |||||
6.00000 | 0.404520 | |||||||||
36.0000 | 2.42162 | |||||||||
2.00000 | + | 3.46410i | 0.134231 | + | 0.232495i | |||||
−4.00000 | + | 6.92820i | −0.267860 | + | 0.463947i | −0.968309 | − | 0.249756i | ||
0.700449 | + | 0.713702i | ||||||||
−8.00000 | − | 13.8564i | −0.534522 | − | 0.925820i | |||||
−0.500000 | + | 0.866025i | −0.0333333 | + | 0.0577350i | |||||
−6.00000 | + | 10.3923i | −0.399114 | + | 0.691286i | |||||
14.0000 | 0.929213 | 0.464606 | − | 0.885517i | ||||||
0.464606 | + | 0.885517i | ||||||||
−7.00000 | − | 5.19615i | −0.463586 | − | 0.344124i | |||||
29.0000 | 1.91637 | 0.958187 | − | 0.286143i | ||||||
0.958187 | + | 0.286143i | ||||||||
−8.00000 | + | 13.8564i | −0.527504 | + | 0.913664i | |||||
−3.00000 | + | 5.19615i | −0.197386 | + | 0.341882i | |||||
0 | 0 | |||||||||
−8.00000 | + | 13.8564i | −0.524097 | + | 0.907763i | 0.475509 | + | 0.879711i | ||
−0.999606 | + | 0.0280525i | ||||||||
−6.00000 | − | 10.3923i | −0.392232 | − | 0.679366i | |||||
−4.00000 | −0.260931 | |||||||||
6.00000 | 0.390567 | |||||||||
−2.50000 | − | 4.33013i | −0.162392 | − | 0.281272i | |||||
12.0000 | + | 20.7846i | 0.777844 | + | 1.34727i | |||||
−9.00000 | −0.582162 | −0.291081 | − | 0.956698i | ||||||
−0.291081 | + | 0.956698i | ||||||||
4.00000 | 0.258199 | |||||||||
−10.5000 | − | 18.1865i | −0.676364 | − | 1.17150i | −0.976068 | − | 0.217465i | ||
0.299704 | − | 0.954032i | ||||||||
2.00000 | − | 3.46410i | 0.128565 | − | 0.222681i | |||||
−0.500000 | − | 0.866025i | −0.0320750 | − | 0.0555556i | |||||
7.00000 | − | 12.1244i | 0.448129 | − | 0.776182i | |||||
−1.50000 | + | 2.59808i | −0.0958315 | + | 0.165985i | |||||
12.0000 | 0.765092 | |||||||||
−3.00000 | + | 25.9808i | −0.190885 | + | 1.65312i | |||||
0 | 0 | |||||||||
3.00000 | − | 5.19615i | 0.190117 | − | 0.329293i | |||||
1.00000 | − | 1.73205i | 0.0632456 | − | 0.109545i | |||||
−1.50000 | − | 2.59808i | −0.0946792 | − | 0.163989i | 0.814795 | − | 0.579748i | ||
−0.909475 | + | 0.415759i | ||||||||
2.00000 | − | 3.46410i | 0.125988 | − | 0.218218i | |||||
−12.0000 | − | 20.7846i | −0.754434 | − | 1.30672i | |||||
−16.0000 | −1.00393 | |||||||||
−6.00000 | −0.375735 | |||||||||
−8.00000 | − | 13.8564i | −0.500000 | − | 0.866025i | |||||
−1.00000 | − | 1.73205i | −0.0623783 | − | 0.108042i | 0.833150 | − | 0.553047i | ||
−0.895528 | + | 0.445005i | ||||||||
20.0000 | 1.24515 | |||||||||
4.00000 | 0.248548 | |||||||||
6.00000 | + | 10.3923i | 0.372104 | + | 0.644503i | |||||
−3.50000 | + | 6.06218i | −0.216645 | + | 0.375239i | |||||
8.00000 | + | 13.8564i | 0.494242 | + | 0.856052i | |||||
−6.00000 | + | 10.3923i | −0.369976 | + | 0.640817i | −0.989561 | − | 0.144112i | ||
0.619586 | + | 0.784929i | ||||||||
0 | 0 | |||||||||
−14.0000 | −0.860013 | |||||||||
−16.0000 | + | 6.92820i | −0.981023 | + | 0.424795i | |||||
3.00000 | 0.183597 | |||||||||
−4.00000 | + | 6.92820i | −0.244339 | + | 0.423207i | |||||
−10.5000 | + | 18.1865i | −0.640196 | + | 1.10885i | 0.345192 | + | 0.938532i | ||
−0.985389 | + | 0.170321i | ||||||||
1.00000 | + | 1.73205i | 0.0608581 | + | 0.105409i | |||||
2.50000 | − | 4.33013i | 0.151864 | − | 0.263036i | −0.780049 | − | 0.625719i | ||
0.931913 | + | 0.362682i | ||||||||
12.0000 | + | 20.7846i | 0.727607 | + | 1.26025i | |||||
−12.0000 | −0.726273 | |||||||||
4.00000 | 0.241649 | |||||||||
1.50000 | + | 2.59808i | 0.0904534 | + | 0.156670i | |||||
8.00000 | + | 13.8564i | 0.481543 | + | 0.834058i | |||||
16.0000 | 0.961347 | 0.480673 | − | 0.876900i | ||||||
0.480673 | + | 0.876900i | ||||||||
−8.00000 | −0.479808 | |||||||||
−4.50000 | − | 7.79423i | −0.269408 | − | 0.466628i | |||||
0 | 0 | |||||||||
−7.00000 | − | 12.1244i | −0.417585 | − | 0.723278i | 0.578111 | − | 0.815958i | ||
−0.995696 | + | 0.0926797i | ||||||||
−4.00000 | + | 6.92820i | −0.238197 | + | 0.412568i | |||||
13.0000 | − | 22.5167i | 0.772770 | − | 1.33848i | −0.163270 | − | 0.986581i | ||
0.936039 | − | 0.351895i | ||||||||
14.0000 | 0.830747 | |||||||||
0.500000 | − | 4.33013i | 0.0296174 | − | 0.256495i | |||||
−36.0000 | −2.12872 | |||||||||
6.00000 | − | 10.3923i | 0.354169 | − | 0.613438i | |||||
4.00000 | − | 6.92820i | 0.235702 | − | 0.408248i | |||||
−9.50000 | − | 16.4545i | −0.558824 | − | 0.967911i | |||||
7.00000 | − | 12.1244i | 0.411054 | − | 0.711967i | |||||
6.00000 | + | 10.3923i | 0.351726 | + | 0.609208i | |||||
4.00000 | 0.234082 | |||||||||
−12.0000 | −0.701047 | −0.350524 | − | 0.936554i | ||||||
−0.350524 | + | 0.936554i | ||||||||
3.00000 | + | 5.19615i | 0.174964 | + | 0.303046i | |||||
1.50000 | + | 2.59808i | 0.0873334 | + | 0.151266i | |||||
0 | 0 | |||||||||
−3.00000 | −0.174078 | |||||||||
3.00000 | + | 5.19615i | 0.173785 | + | 0.301005i | |||||
24.0000 | − | 41.5692i | 1.38796 | − | 2.40401i | |||||
−1.00000 | − | 1.73205i | −0.0577350 | − | 0.100000i | |||||
10.0000 | − | 17.3205i | 0.576390 | − | 0.998337i | |||||
−5.00000 | + | 8.66025i | −0.287718 | + | 0.498342i | |||||
−3.00000 | −0.172345 | |||||||||
−16.0000 | + | 6.92820i | −0.917663 | + | 0.397360i | |||||
7.00000 | 0.400819 | |||||||||
−6.00000 | + | 10.3923i | −0.342997 | + | 0.594089i | |||||
−8.00000 | + | 13.8564i | −0.456584 | + | 0.790827i | −0.998778 | − | 0.0494267i | ||
0.542194 | + | 0.840254i | ||||||||
−6.00000 | − | 10.3923i | −0.341882 | − | 0.592157i | |||||
4.00000 | − | 6.92820i | 0.227552 | − | 0.394132i | |||||
9.00000 | + | 15.5885i | 0.511166 | + | 0.885365i | |||||
−8.00000 | −0.453638 | −0.226819 | − | 0.973937i | ||||||
−0.226819 | + | 0.973937i | ||||||||
0 | 0 | |||||||||
4.00000 | + | 6.92820i | 0.226093 | + | 0.391605i | 0.956647 | − | 0.291250i | ||
−0.730554 | + | 0.682855i | ||||||||
20.0000 | + | 34.6410i | 1.12867 | + | 1.95491i | |||||
2.00000 | 0.112687 | |||||||||
10.0000 | 0.562544 | |||||||||
−6.00000 | − | 10.3923i | −0.336994 | − | 0.583690i | 0.646872 | − | 0.762598i | ||
−0.983866 | + | 0.178908i | ||||||||
−14.0000 | + | 24.2487i | −0.785081 | + | 1.35980i | |||||
10.5000 | + | 18.1865i | 0.587887 | + | 1.01825i | |||||
−4.00000 | + | 6.92820i | −0.223607 | + | 0.387298i | |||||
−6.00000 | + | 10.3923i | −0.334887 | + | 0.580042i | |||||
32.0000 | 1.78329 | |||||||||
24.0000 | − | 10.3923i | 1.33540 | − | 0.578243i | |||||
2.00000 | 0.111111 | |||||||||
−3.00000 | + | 5.19615i | −0.166410 | + | 0.288231i | |||||
10.0000 | − | 17.3205i | 0.553849 | − | 0.959294i | |||||
−1.50000 | − | 2.59808i | −0.0829502 | − | 0.143674i | |||||
0 | 0 | |||||||||
4.00000 | + | 6.92820i | 0.220527 | + | 0.381964i | |||||
6.00000 | 0.330289 | |||||||||
−8.00000 | −0.439720 | −0.219860 | − | 0.975531i | ||||||
−0.219860 | + | 0.975531i | ||||||||
6.00000 | + | 10.3923i | 0.329293 | + | 0.570352i | |||||
1.00000 | + | 1.73205i | 0.0547997 | + | 0.0949158i | |||||
44.0000 | 2.40757 | |||||||||
−4.00000 | −0.218543 | |||||||||
−4.00000 | − | 6.92820i | −0.218218 | − | 0.377964i | |||||
6.00000 | − | 10.3923i | 0.326841 | − | 0.566105i | −0.655042 | − | 0.755592i | ||
0.981883 | + | 0.189487i | ||||||||
−23.0000 | − | 39.8372i | −1.25104 | − | 2.16686i | |||||
−3.00000 | + | 5.19615i | −0.162938 | + | 0.282216i | |||||
6.00000 | − | 10.3923i | 0.325396 | − | 0.563602i | |||||
−27.0000 | −1.46213 | |||||||||
−7.00000 | − | 5.19615i | −0.378517 | − | 0.280976i | |||||
20.0000 | 1.07990 | |||||||||
0 | 0 | |||||||||
−4.00000 | + | 6.92820i | −0.215353 | + | 0.373002i | |||||
−6.00000 | − | 10.3923i | −0.322562 | − | 0.558694i | |||||
−1.00000 | + | 1.73205i | −0.0536828 | + | 0.0929814i | −0.891618 | − | 0.452788i | ||
0.837935 | + | 0.545770i | ||||||||
−7.00000 | − | 12.1244i | −0.375239 | − | 0.649934i | |||||
−2.00000 | −0.107058 | −0.0535288 | − | 0.998566i | ||||||
−0.0535288 | + | 0.998566i | ||||||||
−4.00000 | −0.213809 | |||||||||
−3.00000 | − | 5.19615i | −0.160128 | − | 0.277350i | |||||
−12.0000 | − | 20.7846i | −0.639602 | − | 1.10782i | |||||
2.00000 | 0.106449 | 0.0532246 | − | 0.998583i | ||||||
0.0532246 | + | 0.998583i | ||||||||
6.00000 | 0.318896 | |||||||||
3.50000 | + | 6.06218i | 0.185761 | + | 0.321747i | |||||
−3.00000 | + | 5.19615i | −0.159000 | + | 0.275396i | |||||
6.00000 | + | 10.3923i | 0.317554 | + | 0.550019i | |||||
−1.00000 | + | 1.73205i | −0.0528516 | + | 0.0915417i | |||||
16.0000 | − | 27.7128i | 0.844448 | − | 1.46263i | −0.0416523 | − | 0.999132i | ||
0.886100 | − | 0.463494i | ||||||||
0 | 0 | |||||||||
5.50000 | + | 18.1865i | 0.289474 | + | 0.957186i | |||||
−28.0000 | −1.47165 | |||||||||
1.00000 | − | 1.73205i | 0.0524864 | − | 0.0909091i | |||||
12.0000 | − | 20.7846i | 0.628971 | − | 1.08941i | |||||
1.00000 | + | 1.73205i | 0.0523424 | + | 0.0906597i | |||||
7.00000 | − | 12.1244i | 0.365896 | − | 0.633750i | |||||
10.0000 | + | 17.3205i | 0.521996 | + | 0.904123i | 0.999673 | + | 0.0255875i | ||
−0.477677 | + | 0.878536i | ||||||||
32.0000 | 1.66812 | |||||||||
6.00000 | 0.312348 | |||||||||
−2.00000 | − | 3.46410i | −0.103975 | − | 0.180090i | |||||
14.0000 | + | 24.2487i | 0.726844 | + | 1.25893i | |||||
18.0000 | 0.933257 | |||||||||
−24.0000 | −1.24267 | −0.621336 | − | 0.783544i | ||||||
−0.621336 | + | 0.783544i | ||||||||
18.0000 | + | 31.1769i | 0.930758 | + | 1.61212i | |||||
0.500000 | − | 0.866025i | 0.0258199 | − | 0.0447214i | |||||
0 | 0 | |||||||||
−21.0000 | + | 36.3731i | −1.08156 | + | 1.87331i | |||||
2.00000 | − | 3.46410i | 0.102869 | − | 0.178174i | |||||
−25.0000 | −1.28416 | −0.642082 | − | 0.766636i | ||||||
−0.642082 | + | 0.766636i | ||||||||
7.00000 | + | 5.19615i | 0.359092 | + | 0.266557i | |||||
−8.00000 | −0.409852 | |||||||||
5.00000 | − | 8.66025i | 0.255822 | − | 0.443097i | |||||
17.0000 | − | 29.4449i | 0.868659 | − | 1.50456i | 0.00529229 | − | 0.999986i | ||
0.863367 | − | 0.504576i | ||||||||
0 | 0 | |||||||||
3.00000 | − | 5.19615i | 0.152894 | − | 0.264820i | |||||
18.0000 | + | 31.1769i | 0.916176 | + | 1.58686i | |||||
10.0000 | 0.508329 | |||||||||
−24.0000 | −1.21842 | |||||||||
−18.5000 | − | 32.0429i | −0.937987 | − | 1.62464i | −0.769218 | − | 0.638986i | ||
−0.168769 | − | 0.985656i | ||||||||
6.00000 | + | 10.3923i | 0.303822 | + | 0.526235i | |||||
−48.0000 | −2.42746 | |||||||||
0 | 0 | |||||||||
4.00000 | + | 6.92820i | 0.201773 | + | 0.349482i | |||||
18.0000 | − | 31.1769i | 0.906827 | − | 1.57067i | |||||
2.50000 | + | 4.33013i | 0.125789 | + | 0.217872i | |||||
3.00000 | − | 5.19615i | 0.150756 | − | 0.261116i | |||||
−6.00000 | + | 10.3923i | −0.301131 | + | 0.521575i | −0.976392 | − | 0.216004i | ||
0.675261 | + | 0.737579i | ||||||||
−22.0000 | −1.10276 | |||||||||
−8.00000 | + | 3.46410i | −0.400501 | + | 0.173422i | |||||
−4.00000 | −0.200000 | |||||||||
11.5000 | − | 19.9186i | 0.574283 | − | 0.994687i | −0.421837 | − | 0.906672i | ||
0.996119 | − | 0.0880147i | ||||||||
−4.00000 | + | 6.92820i | −0.199502 | + | 0.345547i | |||||
−27.0000 | − | 46.7654i | −1.34497 | − | 2.32955i | |||||
3.00000 | − | 5.19615i | 0.149256 | − | 0.258518i | |||||
0.500000 | + | 0.866025i | 0.0248452 | + | 0.0430331i | |||||
−28.0000 | −1.38962 | |||||||||
6.00000 | 0.297409 | |||||||||
0 | 0 | |||||||||
−5.50000 | − | 9.52628i | −0.271957 | − | 0.471044i | 0.697406 | − | 0.716677i | ||
−0.969363 | + | 0.245633i | ||||||||
−12.0000 | −0.592638 | |||||||||
2.00000 | 0.0986527 | |||||||||
8.00000 | + | 13.8564i | 0.394132 | + | 0.682656i | |||||
3.00000 | − | 5.19615i | 0.147620 | − | 0.255686i | |||||
8.00000 | + | 13.8564i | 0.393179 | + | 0.681005i | |||||
−3.00000 | + | 5.19615i | −0.147264 | + | 0.255069i | |||||
24.0000 | − | 41.5692i | 1.17670 | − | 2.03810i | |||||
−4.00000 | −0.195881 | |||||||||
−24.0000 | + | 10.3923i | −1.17388 | + | 0.508304i | |||||
−9.00000 | −0.439679 | −0.219839 | − | 0.975536i | ||||||
−0.219839 | + | 0.975536i | ||||||||
−2.00000 | + | 3.46410i | −0.0975900 | + | 0.169031i | |||||
−4.50000 | + | 7.79423i | −0.219317 | + | 0.379867i | −0.954599 | − | 0.297893i | ||
0.735283 | + | 0.677761i | ||||||||
−13.0000 | − | 22.5167i | −0.632830 | − | 1.09609i | |||||
−2.00000 | + | 3.46410i | −0.0972433 | + | 0.168430i | |||||
0 | 0 | |||||||||
6.00000 | 0.291043 | |||||||||
14.0000 | 0.678302 | |||||||||
−7.00000 | − | 12.1244i | −0.338754 | − | 0.586739i | |||||
−12.0000 | − | 20.7846i | −0.580042 | − | 1.00466i | |||||
−18.0000 | −0.869048 | |||||||||
−20.0000 | −0.964486 | |||||||||
10.5000 | + | 18.1865i | 0.505767 | + | 0.876014i | 0.999978 | + | 0.00667224i | ||
−0.494211 | + | 0.869342i | ||||||||
2.00000 | − | 3.46410i | 0.0962250 | − | 0.166667i | |||||
5.00000 | + | 8.66025i | 0.240285 | + | 0.416185i | 0.960795 | − | 0.277259i | ||
−0.720511 | + | 0.693444i | ||||||||
18.0000 | − | 31.1769i | 0.864028 | − | 1.49654i | |||||
3.50000 | − | 6.06218i | 0.167812 | − | 0.290659i | |||||
6.00000 | 0.287348 | |||||||||
4.00000 | − | 34.6410i | 0.191346 | − | 1.65710i | |||||
4.00000 | 0.191127 | |||||||||
4.50000 | − | 7.79423i | 0.214773 | − | 0.371998i | −0.738429 | − | 0.674331i | ||
0.953202 | + | 0.302333i | ||||||||
0 | 0 | |||||||||
1.50000 | + | 2.59808i | 0.0714286 | + | 0.123718i | |||||
−36.0000 | + | 62.3538i | −1.71235 | + | 2.96587i | |||||
0 | 0 | 0.866025 | − | 0.500000i | ||||||
−0.866025 | + | 0.500000i | ||||||||
−4.00000 | −0.189832 | |||||||||
−3.00000 | −0.142214 | |||||||||
−8.00000 | − | 13.8564i | −0.378811 | − | 0.656120i | |||||
1.50000 | + | 2.59808i | 0.0709476 | + | 0.122885i | |||||
16.0000 | 0.755929 | |||||||||
13.0000 | 0.613508 | 0.306754 | − | 0.951789i | ||||||
0.306754 | + | 0.951789i | ||||||||
−1.00000 | − | 1.73205i | −0.0471405 | − | 0.0816497i | |||||
9.00000 | − | 15.5885i | 0.423793 | − | 0.734032i | |||||
−6.00000 | − | 10.3923i | −0.282216 | − | 0.488813i | |||||
−2.50000 | + | 4.33013i | −0.117460 | + | 0.203447i | |||||
−14.0000 | + | 24.2487i | −0.657053 | + | 1.13805i | |||||
12.0000 | 0.562569 | |||||||||
0 | 0 | |||||||||
12.0000 | 0.561336 | 0.280668 | − | 0.959805i | ||||||
0.280668 | + | 0.959805i | ||||||||
−29.0000 | + | 50.2295i | −1.35508 | + | 2.34707i | |||||
−3.00000 | + | 5.19615i | −0.140028 | + | 0.242536i | |||||
−8.00000 | − | 13.8564i | −0.373002 | − | 0.646058i | |||||
−16.5000 | + | 28.5788i | −0.768482 | + | 1.33105i | 0.169904 | + | 0.985461i | ||
−0.938386 | + | 0.345589i | ||||||||
−6.00000 | − | 10.3923i | −0.279145 | − | 0.483494i | |||||
−26.0000 | −1.20832 | −0.604161 | − | 0.796862i | ||||||
−0.604161 | + | 0.796862i | ||||||||
−28.0000 | −1.29987 | |||||||||
4.50000 | + | 7.79423i | 0.208683 | + | 0.361449i | |||||
−16.0000 | − | 27.7128i | −0.741186 | − | 1.28377i | |||||
−18.0000 | −0.832941 | −0.416470 | − | 0.909149i | ||||||
−0.416470 | + | 0.909149i | ||||||||
12.0000 | 0.554700 | |||||||||
4.00000 | + | 6.92820i | 0.184703 | + | 0.319915i | |||||
4.00000 | − | 6.92820i | 0.184506 | − | 0.319574i | |||||
10.0000 | + | 17.3205i | 0.460776 | + | 0.798087i | |||||
0 | 0 | |||||||||
15.0000 | − | 25.9808i | 0.689701 | − | 1.19460i | |||||
10.0000 | 0.459315 | |||||||||
−0.500000 | + | 4.33013i | −0.0229416 | + | 0.198680i | |||||
−24.0000 | −1.10004 | |||||||||
−7.00000 | + | 12.1244i | −0.320508 | + | 0.555136i | |||||
9.00000 | − | 15.5885i | 0.411650 | − | 0.712999i | |||||
7.50000 | + | 12.9904i | 0.342684 | + | 0.593546i | 0.984930 | − | 0.172953i | ||
−0.642246 | + | 0.766498i | ||||||||
−4.00000 | + | 6.92820i | −0.182574 | + | 0.316228i | |||||
6.00000 | + | 10.3923i | 0.273576 | + | 0.473848i | |||||
42.0000 | 1.91305 | |||||||||
16.0000 | 0.728025 | |||||||||
2.00000 | + | 3.46410i | 0.0909091 | + | 0.157459i | |||||
−6.00000 | − | 10.3923i | −0.272446 | − | 0.471890i | |||||
2.00000 | 0.0907218 | |||||||||
−22.0000 | −0.996915 | −0.498458 | − | 0.866914i | ||||||
−0.498458 | + | 0.866914i | ||||||||
0 | 0 | |||||||||
5.00000 | − | 8.66025i | 0.226108 | − | 0.391630i | |||||
−3.00000 | − | 5.19615i | −0.135526 | − | 0.234738i | |||||
2.50000 | − | 4.33013i | 0.112823 | − | 0.195416i | −0.804084 | − | 0.594515i | ||
0.916908 | + | 0.399100i | ||||||||
−6.00000 | + | 10.3923i | −0.270501 | + | 0.468521i | |||||
42.0000 | 1.89158 | |||||||||
−42.0000 | − | 31.1769i | −1.88967 | − | 1.40272i | |||||
3.00000 | 0.134840 | |||||||||
18.0000 | − | 31.1769i | 0.808224 | − | 1.39988i | |||||
7.00000 | − | 12.1244i | 0.313993 | − | 0.543852i | |||||
6.00000 | + | 10.3923i | 0.268866 | + | 0.465690i | |||||
−6.00000 | + | 10.3923i | −0.268597 | + | 0.465223i | −0.968500 | − | 0.249015i | ||
0.699903 | + | 0.714238i | ||||||||
1.00000 | + | 1.73205i | 0.0447214 | + | 0.0774597i | |||||
22.0000 | 0.982888 | |||||||||
6.00000 | 0.267793 | |||||||||
12.0000 | + | 20.7846i | 0.535054 | + | 0.926740i | 0.999161 | + | 0.0409609i | ||
−0.464107 | + | 0.885779i | ||||||||
0 | 0 | |||||||||
3.00000 | 0.133498 | |||||||||
48.0000 | 2.13386 | |||||||||
−11.5000 | − | 19.9186i | −0.510733 | − | 0.884615i | |||||
8.00000 | − | 13.8564i | 0.354943 | − | 0.614779i | |||||
15.0000 | + | 25.9808i | 0.664863 | + | 1.15158i | 0.979322 | + | 0.202306i | ||
−0.314459 | + | 0.949271i | ||||||||
6.00000 | − | 10.3923i | 0.265684 | − | 0.460179i | |||||
2.00000 | − | 3.46410i | 0.0884748 | − | 0.153243i | |||||
32.0000 | 1.41421 | |||||||||
−3.50000 | − | 2.59808i | −0.154529 | − | 0.114708i | |||||
4.00000 | 0.176432 | |||||||||
−4.00000 | + | 6.92820i | −0.176261 | + | 0.305293i | |||||
−10.0000 | + | 17.3205i | −0.440225 | + | 0.762493i | |||||
6.00000 | + | 10.3923i | 0.263880 | + | 0.457053i | |||||
−4.00000 | + | 6.92820i | −0.175750 | + | 0.304408i | |||||
−3.00000 | − | 5.19615i | −0.131685 | − | 0.228086i | |||||
0 | 0 | |||||||||
−7.00000 | −0.306676 | −0.153338 | − | 0.988174i | ||||||
−0.153338 | + | 0.988174i | ||||||||
−7.00000 | − | 12.1244i | −0.306382 | − | 0.530669i | |||||
11.0000 | + | 19.0526i | 0.480996 | + | 0.833110i | 0.999762 | − | 0.0218062i | ||
−0.518766 | + | 0.854916i | ||||||||
−16.0000 | −0.698963 | |||||||||
−2.00000 | −0.0872872 | |||||||||
−12.0000 | − | 20.7846i | −0.523225 | − | 0.906252i | |||||
−27.0000 | + | 46.7654i | −1.17614 | + | 2.03713i | |||||
−6.00000 | − | 10.3923i | −0.261116 | − | 0.452267i | |||||
−20.5000 | + | 35.5070i | −0.891304 | + | 1.54378i | |||||
14.0000 | − | 24.2487i | 0.608121 | − | 1.05330i | |||||
3.00000 | 0.130189 | |||||||||
2.00000 | − | 17.3205i | 0.0867110 | − | 0.750939i | |||||
36.0000 | 1.55933 | |||||||||
−3.00000 | + | 5.19615i | −0.129823 | + | 0.224860i | |||||
6.00000 | − | 10.3923i | 0.259403 | − | 0.449299i | |||||
0 | 0 | |||||||||
−0.500000 | + | 0.866025i | −0.0215766 | + | 0.0373718i | |||||
−21.0000 | − | 36.3731i | −0.905374 | − | 1.56815i | |||||
9.00000 | 0.387657 | |||||||||
−2.00000 | −0.0860663 | |||||||||
4.50000 | + | 7.79423i | 0.193470 | + | 0.335100i | 0.946398 | − | 0.323003i | ||
−0.752928 | + | 0.658103i | ||||||||
5.00000 | + | 8.66025i | 0.214768 | + | 0.371990i | |||||
−14.0000 | −0.600798 | |||||||||
−48.0000 | −2.05798 | |||||||||
1.50000 | + | 2.59808i | 0.0642529 | + | 0.111289i | |||||
12.0000 | − | 20.7846i | 0.513553 | − | 0.889499i | |||||
−14.0000 | − | 24.2487i | −0.598597 | − | 1.03680i | −0.993028 | − | 0.117875i | ||
0.394432 | − | 0.918925i | ||||||||
−2.00000 | + | 3.46410i | −0.0854358 | + | 0.147979i | |||||
3.50000 | − | 6.06218i | 0.149376 | − | 0.258727i | |||||
−6.00000 | −0.255841 | |||||||||
−3.50000 | + | 30.3109i | −0.149105 | + | 1.29129i | |||||
0 | 0 | |||||||||
5.00000 | − | 8.66025i | 0.212622 | − | 0.368271i | |||||
−16.0000 | + | 27.7128i | −0.679775 | + | 1.17740i | |||||
−1.00000 | − | 1.73205i | −0.0424476 | − | 0.0735215i | |||||
4.00000 | − | 6.92820i | 0.169638 | − | 0.293821i | |||||
−6.00000 | − | 10.3923i | −0.254228 | − | 0.440336i | 0.710457 | − | 0.703740i | ||
−0.964686 | + | 0.263404i | ||||||||
18.0000 | 0.762001 | |||||||||
60.0000 | 2.53773 | |||||||||
4.00000 | + | 6.92820i | 0.169031 | + | 0.292770i | |||||
9.00000 | + | 15.5885i | 0.379980 | + | 0.658145i | |||||
28.0000 | 1.18111 | |||||||||
−18.0000 | −0.758610 | −0.379305 | − | 0.925272i | ||||||
−0.379305 | + | 0.925272i | ||||||||
−4.00000 | − | 6.92820i | −0.168430 | − | 0.291730i | |||||
3.00000 | − | 5.19615i | 0.126211 | − | 0.218604i | |||||
26.0000 | + | 45.0333i | 1.09286 | + | 1.89289i | |||||
1.00000 | − | 1.73205i | 0.0419961 | − | 0.0727393i | |||||
0 | 0 | |||||||||
−11.0000 | −0.461144 | −0.230572 | − | 0.973055i | ||||||
−0.230572 | + | 0.973055i | ||||||||
7.00000 | + | 5.19615i | 0.293198 | + | 0.217643i | |||||
−15.0000 | −0.627730 | −0.313865 | − | 0.949468i | ||||||
−0.313865 | + | 0.949468i | ||||||||
18.0000 | − | 31.1769i | 0.752618 | − | 1.30357i | |||||
2.50000 | − | 4.33013i | 0.104439 | − | 0.180894i | |||||
12.0000 | + | 20.7846i | 0.500870 | + | 0.867533i | |||||
4.00000 | − | 6.92820i | 0.166812 | − | 0.288926i | |||||
4.00000 | + | 6.92820i | 0.166667 | + | 0.288675i | |||||
32.0000 | 1.33218 | 0.666089 | − | 0.745873i | ||||||
0.666089 | + | 0.745873i | ||||||||
38.0000 | 1.58059 | |||||||||
9.00000 | + | 15.5885i | 0.374027 | + | 0.647834i | |||||
7.00000 | + | 12.1244i | 0.290659 | + | 0.503436i | |||||
12.0000 | 0.497844 | |||||||||
−24.0000 | −0.994832 | |||||||||
21.0000 | + | 36.3731i | 0.869731 | + | 1.50642i | |||||
0 | 0 | |||||||||
3.00000 | + | 5.19615i | 0.124035 | + | 0.214834i | |||||
12.0000 | − | 20.7846i | 0.495715 | − | 0.858604i | |||||
−11.0000 | + | 19.0526i | −0.454019 | + | 0.786383i | −0.998631 | − | 0.0523045i | ||
0.544613 | + | 0.838688i | ||||||||
−6.00000 | −0.247436 | |||||||||
−31.5000 | − | 23.3827i | −1.29793 | − | 0.963467i | |||||
−6.00000 | −0.247016 | |||||||||
9.00000 | − | 15.5885i | 0.370211 | − | 0.641223i | |||||
−4.00000 | + | 6.92820i | −0.164399 | + | 0.284747i | |||||
5.00000 | + | 8.66025i | 0.205325 | + | 0.355634i | 0.950236 | − | 0.311530i | ||
−0.744911 | + | 0.667164i | ||||||||
3.00000 | − | 5.19615i | 0.123091 | − | 0.213201i | |||||
−6.00000 | − | 10.3923i | −0.245976 | − | 0.426043i | |||||
−6.00000 | −0.245770 | |||||||||
−11.0000 | −0.450200 | |||||||||
48.0000 | + | 83.1384i | 1.96287 | + | 3.39978i | |||||
−2.00000 | − | 3.46410i | −0.0817178 | − | 0.141539i | 0.822270 | − | 0.569097i | ||
−0.903988 | + | 0.427558i | ||||||||
0 | 0 | |||||||||
1.00000 | 0.0407909 | 0.0203954 | − | 0.999792i | ||||||
0.0203954 | + | 0.999792i | ||||||||
20.0000 | + | 34.6410i | 0.815139 | + | 1.41186i | |||||
−2.00000 | + | 3.46410i | −0.0814463 | + | 0.141069i | |||||
−5.00000 | − | 8.66025i | −0.203447 | − | 0.352381i | |||||
−1.00000 | + | 1.73205i | −0.0406558 | + | 0.0704179i | |||||
3.00000 | − | 5.19615i | 0.121867 | − | 0.211079i | |||||
−14.0000 | −0.568242 | −0.284121 | − | 0.958788i | ||||||
−0.284121 | + | 0.958788i | ||||||||
4.00000 | − | 34.6410i | 0.162221 | − | 1.40488i | |||||
−14.0000 | −0.567309 | |||||||||
−7.00000 | + | 12.1244i | −0.283422 | + | 0.490901i | |||||
−12.0000 | + | 20.7846i | −0.485468 | + | 0.840855i | |||||
−6.00000 | − | 10.3923i | −0.242536 | − | 0.420084i | |||||
19.0000 | − | 32.9090i | 0.767403 | − | 1.32918i | −0.171564 | − | 0.985173i | ||
0.938967 | − | 0.344008i | ||||||||
−16.0000 | − | 27.7128i | −0.645707 | − | 1.11840i | |||||
−6.00000 | −0.241943 | |||||||||
0 | 0 | |||||||||
−14.0000 | − | 24.2487i | −0.563619 | − | 0.976216i | −0.997177 | − | 0.0750907i | ||
0.433558 | − | 0.901126i | ||||||||
8.00000 | + | 13.8564i | 0.321807 | + | 0.557386i | |||||
−16.0000 | −0.643094 | −0.321547 | − | 0.946894i | ||||||
−0.321547 | + | 0.946894i | ||||||||
−18.0000 | −0.722897 | |||||||||
4.00000 | + | 6.92820i | 0.160514 | + | 0.278019i | |||||
8.00000 | − | 13.8564i | 0.320771 | − | 0.555591i | |||||
3.00000 | + | 5.19615i | 0.120192 | + | 0.208179i | |||||
12.0000 | − | 20.7846i | 0.480384 | − | 0.832050i | |||||
−0.500000 | + | 0.866025i | −0.0200000 | + | 0.0346410i | |||||
−16.0000 | −0.639489 | |||||||||
−12.0000 | + | 5.19615i | −0.479234 | + | 0.207514i | |||||
−40.0000 | −1.59617 | |||||||||
6.00000 | − | 10.3923i | 0.239236 | − | 0.414368i | |||||
−2.00000 | + | 3.46410i | −0.0796819 | + | 0.138013i | |||||
−14.5000 | − | 25.1147i | −0.577236 | − | 0.999802i | −0.995795 | − | 0.0916122i | ||
0.418559 | − | 0.908190i | ||||||||
0 | 0 | |||||||||
−6.50000 | − | 11.2583i | −0.258352 | − | 0.447478i | |||||
24.0000 | 0.953162 | |||||||||
8.00000 | 0.317470 | |||||||||
−14.0000 | − | 24.2487i | −0.555136 | − | 0.961524i | |||||
9.00000 | + | 15.5885i | 0.356593 | + | 0.617637i | |||||
−42.0000 | −1.66280 | |||||||||
7.00000 | 0.276916 | |||||||||
0 | 0 | |||||||||
−9.50000 | + | 16.4545i | −0.375227 | + | 0.649913i | −0.990361 | − | 0.138510i | ||
0.615134 | + | 0.788423i | ||||||||
−12.0000 | − | 20.7846i | −0.473602 | − | 0.820303i | |||||
−16.0000 | + | 27.7128i | −0.630978 | + | 1.09289i | 0.356374 | + | 0.934344i | ||
−0.987352 | + | 0.158543i | ||||||||
−16.0000 | + | 27.7128i | −0.630488 | + | 1.09204i | |||||
−10.0000 | −0.393750 | |||||||||
−6.00000 | + | 51.9615i | −0.236067 | + | 2.04440i | |||||
2.00000 | 0.0786281 | 0.0393141 | − | 0.999227i | ||||||
0.0393141 | + | 0.999227i | ||||||||
0 | 0 | |||||||||
4.50000 | − | 7.79423i | 0.176640 | − | 0.305950i | |||||
−6.00000 | − | 10.3923i | −0.235339 | − | 0.407620i | |||||
9.00000 | − | 15.5885i | 0.352738 | − | 0.610960i | |||||
10.0000 | + | 17.3205i | 0.391630 | + | 0.678323i | |||||
−18.0000 | −0.704394 | −0.352197 | − | 0.935926i | ||||||
−0.352197 | + | 0.935926i | ||||||||
6.00000 | 0.234619 | |||||||||
−4.00000 | − | 6.92820i | −0.156293 | − | 0.270707i | |||||
12.0000 | + | 20.7846i | 0.468521 | + | 0.811503i | |||||
2.00000 | 0.0780274 | |||||||||
−16.0000 | −0.623745 | |||||||||
0 | 0 | 0.866025 | − | 0.500000i | ||||||
−0.866025 | + | 0.500000i | ||||||||
−3.00000 | + | 5.19615i | −0.116775 | + | 0.202260i | |||||
−8.50000 | − | 14.7224i | −0.330612 | − | 0.572636i | 0.652020 | − | 0.758202i | ||
−0.982632 | + | 0.185565i | ||||||||
8.00000 | − | 13.8564i | 0.310929 | − | 0.538545i | |||||
−18.0000 | + | 31.1769i | −0.699062 | + | 1.21081i | |||||
0 | 0 | |||||||||
8.00000 | − | 3.46410i | 0.310227 | − | 0.134332i | |||||
−4.00000 | −0.154997 | |||||||||
28.0000 | − | 48.4974i | 1.08416 | − | 1.87783i | |||||
−22.0000 | + | 38.1051i | −0.851206 | + | 1.47433i | |||||
−4.00000 | − | 6.92820i | −0.154649 | − | 0.267860i | |||||
4.00000 | − | 6.92820i | 0.154533 | − | 0.267660i | |||||
−10.5000 | − | 18.1865i | −0.405348 | − | 0.702083i | |||||
16.0000 | 0.617213 | |||||||||
−36.0000 | −1.38770 | −0.693849 | − | 0.720121i | ||||||
−0.693849 | + | 0.720121i | ||||||||
12.0000 | + | 20.7846i | 0.462223 | + | 0.800593i | |||||
−0.500000 | − | 0.866025i | −0.0192450 | − | 0.0333333i | |||||
46.0000 | 1.76923 | |||||||||
30.0000 | 1.15299 | 0.576497 | − | 0.817099i | ||||||
0.576497 | + | 0.817099i | ||||||||
−6.00000 | − | 10.3923i | −0.230429 | − | 0.399114i | |||||
−12.0000 | + | 20.7846i | −0.460518 | + | 0.797640i | |||||
0 | 0 | |||||||||
−7.00000 | + | 12.1244i | −0.268241 | + | 0.464606i | |||||
27.0000 | − | 46.7654i | 1.03388 | − | 1.79074i | |||||
−36.0000 | −1.37750 | −0.688751 | − | 0.724998i | ||||||
−0.688751 | + | 0.724998i | ||||||||
8.00000 | − | 3.46410i | 0.305888 | − | 0.132453i | |||||
−2.00000 | −0.0764161 | |||||||||
−20.0000 | + | 34.6410i | −0.763604 | + | 1.32260i | |||||
−14.5000 | + | 25.1147i | −0.553210 | + | 0.958187i | |||||
20.0000 | + | 34.6410i | 0.762493 | + | 1.32068i | |||||
−42.0000 | + | 72.7461i | −1.60007 | + | 2.77141i | |||||
−8.00000 | − | 13.8564i | −0.304555 | − | 0.527504i | |||||
−1.00000 | −0.0380418 | −0.0190209 | − | 0.999819i | ||||||
−0.0190209 | + | 0.999819i | ||||||||
12.0000 | 0.456172 | |||||||||
−3.00000 | − | 5.19615i | −0.113961 | − | 0.197386i | |||||
−2.00000 | − | 3.46410i | −0.0759190 | − | 0.131495i | |||||
4.00000 | 0.151729 | |||||||||
0 | 0 | |||||||||
−18.0000 | − | 31.1769i | −0.681799 | − | 1.18091i | |||||
2.00000 | − | 3.46410i | 0.0757011 | − | 0.131118i | |||||
−8.00000 | − | 13.8564i | −0.302588 | − | 0.524097i | |||||
2.00000 | − | 3.46410i | 0.0755929 | − | 0.130931i | |||||
−9.00000 | + | 15.5885i | −0.339925 | + | 0.588768i | −0.984418 | − | 0.175842i | ||
0.644493 | + | 0.764610i | ||||||||
12.0000 | 0.452911 | |||||||||
7.00000 | + | 5.19615i | 0.264010 | + | 0.195977i | |||||
24.0000 | 0.904534 | |||||||||
2.00000 | − | 3.46410i | 0.0753244 | − | 0.130466i | |||||
−2.00000 | + | 3.46410i | −0.0752710 | + | 0.130373i | |||||
−3.00000 | − | 5.19615i | −0.112827 | − | 0.195421i | |||||
−3.00000 | + | 5.19615i | −0.112747 | + | 0.195283i | |||||
17.5000 | + | 30.3109i | 0.657226 | + | 1.13835i | 0.981331 | + | 0.192328i | ||
−0.324104 | + | 0.946021i | ||||||||
−14.0000 | −0.525411 | |||||||||
5.00000 | 0.187515 | |||||||||
0 | 0 | |||||||||
36.0000 | + | 62.3538i | 1.34821 | + | 2.33517i | |||||
−24.0000 | −0.898177 | |||||||||
18.0000 | 0.673162 | |||||||||
−1.00000 | − | 1.73205i | −0.0373718 | − | 0.0647298i | |||||
4.50000 | − | 7.79423i | 0.168056 | − | 0.291081i | |||||
32.0000 | + | 55.4256i | 1.19423 | + | 2.06847i | |||||
−16.5000 | + | 28.5788i | −0.615346 | + | 1.06581i | 0.374978 | + | 0.927034i | ||
−0.990324 | + | 0.138777i | ||||||||
−2.00000 | + | 3.46410i | −0.0745356 | + | 0.129099i | |||||
16.0000 | 0.595871 | |||||||||
−37.0000 | − | 8.66025i | −1.37700 | − | 0.322301i | |||||
21.0000 | 0.780998 | |||||||||
14.0000 | − | 24.2487i | 0.520306 | − | 0.901196i | |||||
−3.50000 | + | 6.06218i | −0.129987 | + | 0.225144i | |||||
2.00000 | + | 3.46410i | 0.0742270 | + | 0.128565i | |||||
−7.00000 | + | 12.1244i | −0.259616 | + | 0.449667i | −0.966139 | − | 0.258022i | ||
0.706523 | + | 0.707690i | ||||||||
0 | 0 | |||||||||
1.00000 | 0.0370370 | |||||||||
−4.00000 | −0.148047 | |||||||||
−30.0000 | − | 51.9615i | −1.10959 | − | 1.92187i | |||||
7.00000 | + | 12.1244i | 0.258727 | + | 0.448129i | |||||
14.0000 | 0.517102 | 0.258551 | − | 0.965998i | ||||||
0.258551 | + | 0.965998i | ||||||||
−40.0000 | −1.47643 | |||||||||
−1.50000 | − | 2.59808i | −0.0553283 | − | 0.0958315i | |||||
−32.0000 | + | 55.4256i | −1.17954 | + | 2.04302i | |||||
6.00000 | + | 10.3923i | 0.221013 | + | 0.382805i | |||||
−6.00000 | + | 10.3923i | −0.220863 | + | 0.382546i | |||||
14.5000 | − | 25.1147i | 0.533391 | − | 0.923861i | −0.465848 | − | 0.884865i | ||
0.999239 | − | 0.0389959i | ||||||||
4.00000 | 0.147043 | |||||||||
−21.0000 | − | 15.5885i | −0.771454 | − | 0.572656i | |||||
−56.0000 | −2.05582 | |||||||||
3.00000 | − | 5.19615i | 0.110059 | − | 0.190628i | −0.805735 | − | 0.592277i | ||
0.915794 | + | 0.401648i | ||||||||
0 | 0 | |||||||||
−1.50000 | − | 2.59808i | −0.0549557 | − | 0.0951861i | |||||
24.0000 | − | 41.5692i | 0.878702 | − | 1.52196i | |||||
3.00000 | + | 5.19615i | 0.109764 | + | 0.190117i | |||||
−36.0000 | −1.31629 | |||||||||
−24.0000 | −0.876941 | |||||||||
1.00000 | + | 1.73205i | 0.0365148 | + | 0.0632456i | |||||
−14.5000 | − | 25.1147i | −0.529113 | − | 0.916450i | −0.999424 | − | 0.0339490i | ||
0.470311 | − | 0.882501i | ||||||||
−16.0000 | −0.583460 | |||||||||
3.00000 | 0.109326 | |||||||||
−42.0000 | − | 72.7461i | −1.52955 | − | 2.64926i | |||||
2.50000 | − | 4.33013i | 0.0909843 | − | 0.157589i | |||||
2.00000 | + | 3.46410i | 0.0727393 | + | 0.125988i | |||||
−23.0000 | + | 39.8372i | −0.835949 | + | 1.44791i | 0.0573060 | + | 0.998357i | ||
−0.893255 | + | 0.449550i | ||||||||
25.0000 | − | 43.3013i | 0.908041 | − | 1.57277i | |||||
24.0000 | 0.871145 | |||||||||
0 | 0 | |||||||||
−30.0000 | −1.08750 | −0.543750 | − | 0.839248i | ||||||
−0.543750 | + | 0.839248i | ||||||||
8.00000 | − | 13.8564i | 0.289809 | − | 0.501965i | |||||
3.00000 | − | 5.19615i | 0.108607 | − | 0.188113i | |||||
5.00000 | + | 8.66025i | 0.180894 | + | 0.313317i | |||||
3.00000 | − | 5.19615i | 0.108465 | − | 0.187867i | |||||
34.0000 | + | 58.8897i | 1.22847 | + | 2.12777i | |||||
18.0000 | 0.649942 | |||||||||
16.0000 | 0.577350 | |||||||||
−6.50000 | − | 11.2583i | −0.234396 | − | 0.405986i | 0.724701 | − | 0.689063i | ||
−0.959097 | + | 0.283078i | ||||||||
6.00000 | + | 10.3923i | 0.216225 | + | 0.374513i | |||||
2.00000 | 0.0720282 | |||||||||
−36.0000 | −1.29567 | |||||||||
0 | 0 | 0.866025 | − | 0.500000i | ||||||
−0.866025 | + | 0.500000i | ||||||||
−10.0000 | + | 17.3205i | −0.359443 | + | 0.622573i | |||||
−4.50000 | − | 7.79423i | −0.161645 | − | 0.279977i | |||||
0 | 0 | |||||||||
−2.00000 | + | 3.46410i | −0.0717496 | + | 0.124274i | |||||
74.0000 | 2.65303 | |||||||||
24.0000 | − | 10.3923i | 0.859889 | − | 0.372343i | |||||
−12.0000 | −0.429669 | |||||||||
10.5000 | − | 18.1865i | 0.375720 | − | 0.650765i | |||||
48.0000 | − | 83.1384i | 1.71648 | − | 2.97302i | |||||
−3.50000 | − | 6.06218i | −0.125080 | − | 0.216645i | |||||
−6.00000 | + | 10.3923i | −0.214286 | + | 0.371154i | |||||
−10.0000 | − | 17.3205i | −0.356915 | − | 0.618195i | |||||
−16.0000 | −0.570701 | |||||||||
−28.0000 | −0.998092 | −0.499046 | − | 0.866575i | ||||||
−0.499046 | + | 0.866575i | ||||||||
18.0000 | + | 31.1769i | 0.641223 | + | 1.11063i | |||||
−6.00000 | − | 10.3923i | −0.213606 | − | 0.369976i | |||||
−10.0000 | −0.355784 | |||||||||
−12.0000 | −0.426671 | |||||||||
0 | 0 | |||||||||
21.0000 | − | 36.3731i | 0.745732 | − | 1.29165i | |||||
−12.0000 | − | 20.7846i | −0.425864 | − | 0.737618i | |||||
7.00000 | − | 12.1244i | 0.248264 | − | 0.430007i | |||||
11.0000 | − | 19.0526i | 0.389885 | − | 0.675300i | |||||
34.0000 | 1.20434 | 0.602171 | − | 0.798367i | ||||||
0.602171 | + | 0.798367i | ||||||||
2.00000 | − | 17.3205i | 0.0707992 | − | 0.613139i | |||||
24.0000 | 0.849059 | |||||||||
4.00000 | − | 6.92820i | 0.141421 | − | 0.244949i | |||||
−1.50000 | + | 2.59808i | −0.0529999 | + | 0.0917985i | |||||
23.0000 | + | 39.8372i | 0.812158 | + | 1.40670i | |||||
3.00000 | − | 5.19615i | 0.105868 | − | 0.183368i | |||||
−4.00000 | − | 6.92820i | −0.141069 | − | 0.244339i | |||||
−16.0000 | −0.563926 | |||||||||
108.000 | 3.80414 | |||||||||
−10.5000 | − | 18.1865i | −0.369618 | − | 0.640196i | |||||
0 | 0 | |||||||||
−37.0000 | −1.30085 | −0.650425 | − | 0.759570i | ||||||
−0.650425 | + | 0.759570i | ||||||||
−2.00000 | −0.0702728 | |||||||||
3.50000 | + | 6.06218i | 0.122902 | + | 0.212872i | 0.920911 | − | 0.389774i | ||
−0.798009 | + | 0.602645i | ||||||||
14.0000 | − | 24.2487i | 0.491304 | − | 0.850963i | |||||
2.50000 | + | 4.33013i | 0.0876788 | + | 0.151864i | |||||
−6.00000 | + | 10.3923i | −0.210300 | + | 0.364250i | |||||
−5.00000 | + | 8.66025i | −0.175142 | + | 0.303355i | |||||
−24.0000 | −0.840168 | |||||||||
40.0000 | − | 17.3205i | 1.39942 | − | 0.605968i | |||||
22.0000 | 0.769212 | |||||||||
6.00000 | − | 10.3923i | 0.209657 | − | 0.363137i | |||||
6.00000 | − | 10.3923i | 0.209529 | − | 0.362915i | |||||
−7.50000 | − | 12.9904i | −0.261752 | − | 0.453367i | 0.704956 | − | 0.709251i | ||
−0.966708 | + | 0.255884i | ||||||||
−2.00000 | + | 3.46410i | −0.0697580 | + | 0.120824i | |||||
−8.00000 | − | 13.8564i | −0.278862 | − | 0.483004i | 0.692240 | − | 0.721668i | ||
−0.971102 | + | 0.238664i | ||||||||
0 | 0 | |||||||||
−3.00000 | −0.104447 | |||||||||
6.00000 | + | 10.3923i | 0.208767 | + | 0.361595i | |||||
−24.0000 | − | 41.5692i | −0.834562 | − | 1.44550i | −0.894387 | − | 0.447295i | ||
0.0598250 | − | 0.998209i | ||||||||
−16.0000 | −0.556038 | |||||||||
−6.00000 | −0.208389 | −0.104194 | − | 0.994557i | ||||||
−0.104194 | + | 0.994557i | ||||||||
−6.00000 | − | 10.3923i | −0.208263 | − | 0.360722i | |||||
−8.00000 | + | 13.8564i | −0.277517 | + | 0.480673i | |||||
24.0000 | + | 41.5692i | 0.832050 | + | 1.44115i | |||||
9.00000 | − | 15.5885i | 0.311832 | − | 0.540108i | |||||
4.00000 | − | 6.92820i | 0.138509 | − | 0.239904i | |||||
−22.0000 | −0.761341 | |||||||||
3.00000 | − | 25.9808i | 0.103757 | − | 0.898563i | |||||
9.00000 | 0.311086 | |||||||||
9.00000 | − | 15.5885i | 0.310900 | − | 0.538494i | |||||
8.00000 | − | 13.8564i | 0.276191 | − | 0.478376i | −0.694244 | − | 0.719740i | ||
0.970435 | + | 0.241363i | ||||||||
0 | 0 | |||||||||
−10.0000 | + | 17.3205i | −0.344828 | + | 0.597259i | |||||
−9.00000 | − | 15.5885i | −0.310160 | − | 0.537214i | |||||
14.0000 | 0.482186 | |||||||||
26.0000 | 0.894957 | |||||||||
11.5000 | + | 19.9186i | 0.395612 | + | 0.685220i | |||||
−4.00000 | − | 6.92820i | −0.137523 | − | 0.238197i | |||||
4.00000 | 0.137442 | |||||||||
−56.0000 | −1.92305 | |||||||||
13.0000 | + | 22.5167i | 0.446159 | + | 0.772770i | |||||
−6.00000 | + | 10.3923i | −0.205798 | + | 0.356453i | |||||
−8.00000 | − | 13.8564i | −0.274236 | − | 0.474991i | |||||
−7.00000 | + | 12.1244i | −0.239816 | + | 0.415374i | |||||
17.0000 | − | 29.4449i | 0.582069 | − | 1.00817i | −0.413165 | − | 0.910656i | ||
0.995234 | − | 0.0975167i | ||||||||
28.0000 | 0.958140 | |||||||||
3.50000 | + | 2.59808i | 0.119697 | + | 0.0888523i | |||||
0 | 0 | |||||||||
13.0000 | − | 22.5167i | 0.444072 | − | 0.769154i | −0.553915 | − | 0.832573i | ||
0.997987 | + | 0.0634184i | ||||||||
18.0000 | − | 31.1769i | 0.614510 | − | 1.06436i | |||||
−2.50000 | − | 4.33013i | −0.0852989 | − | 0.147742i | 0.820220 | − | 0.572049i | ||
−0.905519 | + | 0.424307i | ||||||||
10.0000 | − | 17.3205i | 0.340997 | − | 0.590624i | |||||
6.00000 | + | 10.3923i | 0.204479 | + | 0.354169i | |||||
−42.0000 | −1.43053 | |||||||||
−6.00000 | −0.204242 | −0.102121 | − | 0.994772i | ||||||
−0.102121 | + | 0.994772i | ||||||||
4.00000 | + | 6.92820i | 0.136083 | + | 0.235702i | |||||
3.00000 | + | 5.19615i | 0.102003 | + | 0.176674i | |||||
−20.0000 | −0.679628 | |||||||||
19.0000 | 0.645274 | |||||||||
18.0000 | + | 31.1769i | 0.610960 | + | 1.05821i | |||||
7.50000 | − | 12.9904i | 0.254420 | − | 0.440668i | |||||
7.00000 | + | 12.1244i | 0.237322 | + | 0.411054i | |||||
−12.0000 | + | 20.7846i | −0.406604 | + | 0.704260i | |||||
0 | 0 | |||||||||
−12.0000 | −0.406138 | |||||||||
56.0000 | + | 41.5692i | 1.89423 | + | 1.40610i | |||||
2.00000 | 0.0676123 | |||||||||
−2.00000 | + | 3.46410i | −0.0675737 | + | 0.117041i | |||||
−6.00000 | + | 10.3923i | −0.202606 | + | 0.350923i | −0.949367 | − | 0.314169i | ||
0.746762 | + | 0.665092i | ||||||||
9.00000 | + | 15.5885i | 0.303735 | + | 0.526085i | |||||
6.00000 | − | 10.3923i | 0.202375 | − | 0.350524i | |||||
6.00000 | + | 10.3923i | 0.202260 | + | 0.350325i | |||||
3.00000 | 0.101073 | 0.0505363 | − | 0.998722i | ||||||
0.0505363 | + | 0.998722i | ||||||||
−6.00000 | −0.202031 | |||||||||
−10.0000 | − | 17.3205i | −0.336527 | − | 0.582882i | 0.647250 | − | 0.762278i | ||
−0.983777 | + | 0.179396i | ||||||||
−36.0000 | − | 62.3538i | −1.21081 | − | 2.09719i | |||||
−3.00000 | −0.100844 | |||||||||
0 | 0 | |||||||||
6.00000 | + | 10.3923i | 0.201460 | + | 0.348939i | 0.948999 | − | 0.315279i | ||
−0.747539 | + | 0.664218i | ||||||||
0 | 0 | |||||||||
−8.00000 | − | 13.8564i | −0.268311 | − | 0.464729i | |||||
3.00000 | − | 5.19615i | 0.100560 | − | 0.174175i | |||||
1.50000 | − | 2.59808i | 0.0502519 | − | 0.0870388i | |||||
16.0000 | 0.535720 | |||||||||
−2.00000 | + | 17.3205i | −0.0669274 | + | 0.579609i | |||||
−6.00000 | −0.200670 | |||||||||
0.500000 | − | 0.866025i | 0.0167132 | − | 0.0289480i | |||||
0 | 0 | |||||||||
24.0000 | + | 41.5692i | 0.801337 | + | 1.38796i | |||||
−13.0000 | + | 22.5167i | −0.433816 | + | 0.751391i | |||||
−31.5000 | − | 54.5596i | −1.05058 | − | 1.81966i | |||||
2.00000 | 0.0666667 | |||||||||
84.0000 | 2.79845 | |||||||||
18.0000 | + | 31.1769i | 0.599334 | + | 1.03808i | |||||
10.0000 | + | 17.3205i | 0.332779 | + | 0.576390i | |||||
0 | 0 | |||||||||
14.0000 | 0.465376 | |||||||||
−5.00000 | − | 8.66025i | −0.166114 | − | 0.287718i | |||||
2.00000 | − | 3.46410i | 0.0664089 | − | 0.115024i | −0.830909 | − | 0.556408i | ||
0.897318 | + | 0.441384i | ||||||||
−14.0000 | − | 24.2487i | −0.464606 | − | 0.804722i | |||||
1.50000 | − | 2.59808i | 0.0497519 | − | 0.0861727i | |||||
−12.0000 | + | 20.7846i | −0.397796 | + | 0.689003i | |||||
−45.0000 | −1.49092 | −0.745458 | − | 0.666552i | ||||||
−0.745458 | + | 0.666552i | ||||||||
2.00000 | − | 17.3205i | 0.0662266 | − | 0.573539i | |||||
18.0000 | 0.595713 | |||||||||
−12.0000 | + | 20.7846i | −0.396925 | + | 0.687494i | |||||
−3.50000 | + | 6.06218i | −0.115706 | + | 0.200409i | |||||
−29.0000 | − | 50.2295i | −0.958187 | − | 1.65963i | |||||
−8.00000 | + | 13.8564i | −0.264183 | + | 0.457579i | |||||
−6.00000 | − | 10.3923i | −0.198030 | − | 0.342997i | |||||
−40.0000 | −1.31948 | −0.659739 | − | 0.751495i | ||||||
−0.659739 | + | 0.751495i | ||||||||
0 | 0 | |||||||||
−8.00000 | − | 13.8564i | −0.263609 | − | 0.456584i | |||||
−33.0000 | − | 57.1577i | −1.08680 | − | 1.88239i | |||||
42.0000 | 1.38245 | |||||||||
12.0000 | 0.394771 | |||||||||
1.00000 | + | 1.73205i | 0.0328798 | + | 0.0569495i | |||||
26.0000 | − | 45.0333i | 0.854413 | − | 1.47989i | |||||
4.00000 | + | 6.92820i | 0.131377 | + | 0.227552i | |||||
28.0000 | − | 48.4974i | 0.919145 | − | 1.59201i | |||||
7.50000 | − | 12.9904i | 0.246067 | − | 0.426201i | −0.716364 | − | 0.697727i | ||
0.962431 | + | 0.271526i | ||||||||
−18.0000 | −0.590243 | |||||||||
10.5000 | + | 7.79423i | 0.344124 | + | 0.255446i | |||||
32.0000 | 1.04819 | |||||||||
4.00000 | − | 6.92820i | 0.130954 | − | 0.226819i | |||||
18.0000 | − | 31.1769i | 0.588978 | − | 1.02014i | |||||
−9.00000 | − | 15.5885i | −0.294331 | − | 0.509797i | |||||
0 | 0 | |||||||||
−15.0000 | − | 25.9808i | −0.490029 | − | 0.848755i | 0.509906 | − | 0.860230i | ||
−0.999934 | + | 0.0114759i | ||||||||
−16.0000 | −0.522419 | |||||||||
−8.00000 | −0.261070 | |||||||||
4.00000 | + | 6.92820i | 0.130466 | + | 0.225973i | |||||
−8.50000 | − | 14.7224i | −0.277092 | − | 0.479938i | 0.693569 | − | 0.720390i | ||
−0.970661 | + | 0.240453i | ||||||||
−40.0000 | −1.30327 | |||||||||
−48.0000 | −1.56310 | |||||||||
6.00000 | + | 10.3923i | 0.195283 | + | 0.338241i | |||||
−1.00000 | + | 1.73205i | −0.0325300 | + | 0.0563436i | |||||
30.0000 | + | 51.9615i | 0.975384 | + | 1.68941i | |||||
12.0000 | − | 20.7846i | 0.389948 | − | 0.675409i | −0.602494 | − | 0.798123i | ||
0.992442 | + | 0.122714i | ||||||||
−5.00000 | + | 8.66025i | −0.162392 | + | 0.281272i | |||||
12.0000 | 0.389536 | |||||||||
−7.00000 | − | 5.19615i | −0.227110 | − | 0.168585i | |||||
12.0000 | 0.389127 | |||||||||
0 | 0 | |||||||||
−12.0000 | + | 20.7846i | −0.388718 | + | 0.673280i | −0.992277 | − | 0.124039i | ||
0.603559 | + | 0.797318i | ||||||||
−14.0000 | − | 24.2487i | −0.453267 | − | 0.785081i | |||||
−2.50000 | + | 4.33013i | −0.0808981 | + | 0.140120i | |||||
9.00000 | + | 15.5885i | 0.291081 | + | 0.504167i | |||||
−21.0000 | −0.678834 | |||||||||
−30.0000 | −0.969256 | |||||||||
2.00000 | + | 3.46410i | 0.0645834 | + | 0.111862i | |||||
−4.00000 | − | 6.92820i | −0.129099 | − | 0.223607i | |||||
50.0000 | 1.61290 | |||||||||
−24.0000 | −0.773791 | |||||||||
−6.00000 | − | 10.3923i | −0.193347 | − | 0.334887i | |||||
−21.0000 | + | 36.3731i | −0.676364 | + | 1.17150i | |||||
−9.00000 | − | 15.5885i | −0.289720 | − | 0.501810i | |||||
−16.0000 | + | 27.7128i | −0.514792 | + | 0.891645i | |||||
−20.0000 | + | 34.6410i | −0.643157 | + | 1.11398i | 0.341567 | + | 0.939857i | ||
−0.984724 | + | 0.174123i | ||||||||
0 | 0 | |||||||||
−3.00000 | + | 25.9808i | −0.0963739 | + | 0.834622i | |||||
24.0000 | 0.770594 | |||||||||
16.0000 | − | 27.7128i | 0.513464 | − | 0.889346i | −0.486414 | − | 0.873729i | ||
0.999878 | − | 0.0156178i | ||||||||
−1.00000 | + | 1.73205i | −0.0320750 | + | 0.0555556i | |||||
−4.00000 | − | 6.92820i | −0.128234 | − | 0.222108i | |||||
22.0000 | − | 38.1051i | 0.704925 | − | 1.22097i | |||||
−3.00000 | − | 5.19615i | −0.0960769 | − | 0.166410i | |||||
28.0000 | 0.896258 | |||||||||
42.0000 | 1.34370 | 0.671850 | − | 0.740688i | ||||||
0.671850 | + | 0.740688i | ||||||||
10.0000 | + | 17.3205i | 0.319765 | + | 0.553849i | |||||
4.50000 | + | 7.79423i | 0.143821 | + | 0.249105i | |||||
6.00000 | 0.191663 | |||||||||
3.00000 | 0.0957826 | |||||||||
5.00000 | + | 8.66025i | 0.159556 | + | 0.276360i | |||||
−13.0000 | + | 22.5167i | −0.414636 | + | 0.718170i | −0.995390 | − | 0.0959088i | ||
0.580755 | + | 0.814079i | ||||||||
0 | 0 | |||||||||
−9.00000 | + | 15.5885i | −0.286764 | + | 0.496690i | |||||
−42.0000 | + | 72.7461i | −1.33755 | + | 2.31671i | |||||
−8.00000 | −0.254643 | |||||||||
48.0000 | − | 20.7846i | 1.52708 | − | 0.661247i | |||||
−80.0000 | −2.54385 | |||||||||
−3.00000 | + | 5.19615i | −0.0953463 | + | 0.165145i | |||||
−28.0000 | + | 48.4974i | −0.889449 | + | 1.54057i | −0.0489218 | + | 0.998803i | ||
−0.840528 | + | 0.541769i | ||||||||
36.0000 | + | 62.3538i | 1.14300 | + | 1.97974i | |||||
4.00000 | − | 6.92820i | 0.126936 | − | 0.219860i | |||||
14.0000 | + | 24.2487i | 0.444053 | + | 0.769122i | |||||
11.0000 | 0.348723 | |||||||||
−12.0000 | −0.380235 | |||||||||
20.0000 | + | 34.6410i | 0.633406 | + | 1.09709i | 0.986850 | + | 0.161636i | ||
−0.353444 | + | 0.935456i | ||||||||
−12.0000 | − | 20.7846i | −0.379853 | − | 0.657925i | |||||
−2.00000 | −0.0632772 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 285.2.i.a.106.1 | ✓ | 2 | |
3.2 | odd | 2 | 855.2.k.d.676.1 | 2 | |||
19.7 | even | 3 | inner | 285.2.i.a.121.1 | yes | 2 | |
19.8 | odd | 6 | 5415.2.a.a.1.1 | 1 | |||
19.11 | even | 3 | 5415.2.a.k.1.1 | 1 | |||
57.26 | odd | 6 | 855.2.k.d.406.1 | 2 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
285.2.i.a.106.1 | ✓ | 2 | 1.1 | even | 1 | trivial | |
285.2.i.a.121.1 | yes | 2 | 19.7 | even | 3 | inner | |
855.2.k.d.406.1 | 2 | 57.26 | odd | 6 | |||
855.2.k.d.676.1 | 2 | 3.2 | odd | 2 | |||
5415.2.a.a.1.1 | 1 | 19.8 | odd | 6 | |||
5415.2.a.k.1.1 | 1 | 19.11 | even | 3 |