Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [525,2,Mod(151,525)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(525, 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("525.151");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 525.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: | no (minimal twist has level 105) |
Sato-Tate group: |
Embedding invariants
Embedding label | 226.1 | ||
Root | of defining polynomial | ||
Character | 525.226 | ||
Dual form | 525.2.i.a.151.1 |
-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 | 0 | |||||||||
−2.00000 | −0.816497 | |||||||||
0.500000 | + | 2.59808i | 0.188982 | + | 0.981981i | |||||
0 | 0 | |||||||||
−0.500000 | + | 0.866025i | −0.166667 | + | 0.288675i | |||||
0 | 0 | |||||||||
3.00000 | + | 5.19615i | 0.904534 | + | 1.56670i | 0.821541 | + | 0.570149i | ||
0.0829925 | + | 0.996550i | ||||||||
1.00000 | − | 1.73205i | 0.288675 | − | 0.500000i | |||||
3.00000 | 0.832050 | 0.416025 | − | 0.909353i | ||||||
0.416025 | + | 0.909353i | ||||||||
−5.00000 | − | 1.73205i | −1.33631 | − | 0.462910i | |||||
0 | 0 | |||||||||
2.00000 | − | 3.46410i | 0.500000 | − | 0.866025i | |||||
−2.00000 | − | 3.46410i | −0.485071 | − | 0.840168i | 0.514782 | − | 0.857321i | ||
−0.999853 | + | 0.0171533i | ||||||||
−1.00000 | − | 1.73205i | −0.235702 | − | 0.408248i | |||||
−0.500000 | + | 0.866025i | −0.114708 | + | 0.198680i | −0.917663 | − | 0.397360i | ||
0.802955 | + | 0.596040i | ||||||||
0 | 0 | |||||||||
−2.00000 | + | 1.73205i | −0.436436 | + | 0.377964i | |||||
−12.0000 | −2.55841 | |||||||||
−2.00000 | + | 3.46410i | −0.417029 | + | 0.722315i | −0.995639 | − | 0.0932891i | ||
0.578610 | + | 0.815604i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−3.00000 | + | 5.19615i | −0.588348 | + | 1.01905i | |||||
−1.00000 | −0.192450 | |||||||||
4.00000 | − | 3.46410i | 0.755929 | − | 0.654654i | |||||
−8.00000 | −1.48556 | −0.742781 | − | 0.669534i | ||||||
−0.742781 | + | 0.669534i | ||||||||
0 | 0 | |||||||||
−0.500000 | − | 0.866025i | −0.0898027 | − | 0.155543i | 0.817625 | − | 0.575751i | ||
−0.907428 | + | 0.420208i | ||||||||
4.00000 | + | 6.92820i | 0.707107 | + | 1.22474i | |||||
−3.00000 | + | 5.19615i | −0.522233 | + | 0.904534i | |||||
8.00000 | 1.37199 | |||||||||
0 | 0 | |||||||||
2.00000 | 0.333333 | |||||||||
3.50000 | − | 6.06218i | 0.575396 | − | 0.996616i | −0.420602 | − | 0.907245i | ||
0.995998 | − | 0.0893706i | ||||||||
−1.00000 | − | 1.73205i | −0.162221 | − | 0.280976i | |||||
1.50000 | + | 2.59808i | 0.240192 | + | 0.416025i | |||||
0 | 0 | |||||||||
−6.00000 | −0.937043 | −0.468521 | − | 0.883452i | ||||||
−0.468521 | + | 0.883452i | ||||||||
−1.00000 | − | 5.19615i | −0.154303 | − | 0.801784i | |||||
−1.00000 | −0.152499 | −0.0762493 | − | 0.997089i | ||||||
−0.0762493 | + | 0.997089i | ||||||||
6.00000 | − | 10.3923i | 0.904534 | − | 1.56670i | |||||
0 | 0 | |||||||||
−4.00000 | − | 6.92820i | −0.589768 | − | 1.02151i | |||||
1.00000 | − | 1.73205i | 0.145865 | − | 0.252646i | −0.783830 | − | 0.620975i | ||
0.929695 | + | 0.368329i | ||||||||
4.00000 | 0.577350 | |||||||||
−6.50000 | + | 2.59808i | −0.928571 | + | 0.371154i | |||||
0 | 0 | |||||||||
2.00000 | − | 3.46410i | 0.280056 | − | 0.485071i | |||||
−3.00000 | − | 5.19615i | −0.416025 | − | 0.720577i | |||||
2.00000 | + | 3.46410i | 0.274721 | + | 0.475831i | 0.970065 | − | 0.242846i | ||
−0.695344 | + | 0.718677i | ||||||||
1.00000 | − | 1.73205i | 0.136083 | − | 0.235702i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−1.00000 | −0.132453 | |||||||||
8.00000 | − | 13.8564i | 1.05045 | − | 1.81944i | |||||
4.00000 | + | 6.92820i | 0.520756 | + | 0.901975i | 0.999709 | + | 0.0241347i | ||
−0.478953 | + | 0.877841i | ||||||||
0 | 0 | |||||||||
7.00000 | − | 12.1244i | 0.896258 | − | 1.55236i | 0.0640184 | − | 0.997949i | ||
0.832240 | − | 0.554416i | ||||||||
2.00000 | 0.254000 | |||||||||
−2.50000 | − | 0.866025i | −0.314970 | − | 0.109109i | |||||
−8.00000 | −1.00000 | |||||||||
0 | 0 | |||||||||
−6.00000 | − | 10.3923i | −0.738549 | − | 1.27920i | |||||
3.50000 | + | 6.06218i | 0.427593 | + | 0.740613i | 0.996659 | − | 0.0816792i | ||
−0.569066 | + | 0.822292i | ||||||||
−4.00000 | + | 6.92820i | −0.485071 | + | 0.840168i | |||||
−4.00000 | −0.481543 | |||||||||
0 | 0 | |||||||||
6.00000 | 0.712069 | 0.356034 | − | 0.934473i | ||||||
0.356034 | + | 0.934473i | ||||||||
0 | 0 | |||||||||
0.500000 | + | 0.866025i | 0.0585206 | + | 0.101361i | 0.893801 | − | 0.448463i | ||
−0.835281 | + | 0.549823i | ||||||||
7.00000 | + | 12.1244i | 0.813733 | + | 1.40943i | |||||
0 | 0 | |||||||||
2.00000 | 0.229416 | |||||||||
−12.0000 | + | 10.3923i | −1.36753 | + | 1.18431i | |||||
−6.00000 | −0.679366 | |||||||||
0.500000 | − | 0.866025i | 0.0562544 | − | 0.0974355i | −0.836527 | − | 0.547926i | ||
0.892781 | + | 0.450490i | ||||||||
0 | 0 | |||||||||
−0.500000 | − | 0.866025i | −0.0555556 | − | 0.0962250i | |||||
6.00000 | − | 10.3923i | 0.662589 | − | 1.14764i | |||||
−2.00000 | −0.219529 | −0.109764 | − | 0.993958i | ||||||
−0.109764 | + | 0.993958i | ||||||||
5.00000 | + | 1.73205i | 0.545545 | + | 0.188982i | |||||
0 | 0 | |||||||||
1.00000 | − | 1.73205i | 0.107833 | − | 0.186772i | |||||
−4.00000 | − | 6.92820i | −0.428845 | − | 0.742781i | |||||
0 | 0 | |||||||||
6.00000 | − | 10.3923i | 0.635999 | − | 1.10158i | −0.350304 | − | 0.936636i | ||
0.986303 | − | 0.164946i | ||||||||
0 | 0 | |||||||||
1.50000 | + | 7.79423i | 0.157243 | + | 0.817057i | |||||
8.00000 | 0.834058 | |||||||||
0.500000 | − | 0.866025i | 0.0518476 | − | 0.0898027i | |||||
2.00000 | + | 3.46410i | 0.206284 | + | 0.357295i | |||||
0 | 0 | |||||||||
−4.00000 | + | 6.92820i | −0.408248 | + | 0.707107i | |||||
6.00000 | 0.609208 | 0.304604 | − | 0.952479i | ||||||
0.304604 | + | 0.952479i | ||||||||
2.00000 | − | 13.8564i | 0.202031 | − | 1.39971i | |||||
−6.00000 | −0.603023 | |||||||||
0 | 0 | |||||||||
5.00000 | + | 8.66025i | 0.497519 | + | 0.861727i | 0.999996 | − | 0.00286291i | ||
−0.502477 | + | 0.864590i | ||||||||
4.00000 | + | 6.92820i | 0.396059 | + | 0.685994i | |||||
−9.50000 | + | 16.4545i | −0.936063 | + | 1.62131i | −0.163335 | + | 0.986571i | ||
−0.772728 | + | 0.634738i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−8.00000 | −0.777029 | |||||||||
6.00000 | − | 10.3923i | 0.580042 | − | 1.00466i | −0.415432 | − | 0.909624i | ||
0.995474 | − | 0.0950377i | ||||||||
1.00000 | + | 1.73205i | 0.0962250 | + | 0.166667i | |||||
7.50000 | + | 12.9904i | 0.718370 | + | 1.24425i | 0.961645 | + | 0.274296i | ||
−0.243276 | + | 0.969957i | ||||||||
0 | 0 | |||||||||
7.00000 | 0.664411 | |||||||||
10.0000 | + | 3.46410i | 0.944911 | + | 0.327327i | |||||
6.00000 | 0.564433 | 0.282216 | − | 0.959351i | ||||||
0.282216 | + | 0.959351i | ||||||||
1.00000 | − | 1.73205i | 0.0936586 | − | 0.162221i | |||||
0 | 0 | |||||||||
8.00000 | + | 13.8564i | 0.742781 | + | 1.28654i | |||||
−1.50000 | + | 2.59808i | −0.138675 | + | 0.240192i | |||||
−16.0000 | −1.47292 | |||||||||
8.00000 | − | 6.92820i | 0.733359 | − | 0.635107i | |||||
0 | 0 | |||||||||
−12.5000 | + | 21.6506i | −1.13636 | + | 1.96824i | |||||
14.0000 | + | 24.2487i | 1.26750 | + | 2.19538i | |||||
−3.00000 | − | 5.19615i | −0.270501 | − | 0.468521i | |||||
−1.00000 | + | 1.73205i | −0.0898027 | + | 0.155543i | |||||
0 | 0 | |||||||||
4.00000 | − | 3.46410i | 0.356348 | − | 0.308607i | |||||
−5.00000 | −0.443678 | −0.221839 | − | 0.975083i | ||||||
−0.221839 | + | 0.975083i | ||||||||
0 | 0 | |||||||||
−0.500000 | − | 0.866025i | −0.0440225 | − | 0.0762493i | |||||
0 | 0 | |||||||||
−1.00000 | + | 1.73205i | −0.0873704 | + | 0.151330i | −0.906399 | − | 0.422423i | ||
0.819028 | + | 0.573753i | ||||||||
12.0000 | 1.04447 | |||||||||
−2.50000 | − | 0.866025i | −0.216777 | − | 0.0750939i | |||||
−14.0000 | −1.20942 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
4.00000 | + | 6.92820i | 0.341743 | + | 0.591916i | 0.984757 | − | 0.173939i | ||
−0.643013 | + | 0.765855i | ||||||||
4.00000 | − | 6.92820i | 0.340503 | − | 0.589768i | |||||
21.0000 | 1.78120 | 0.890598 | − | 0.454791i | ||||||
0.890598 | + | 0.454791i | ||||||||
0 | 0 | |||||||||
2.00000 | 0.168430 | |||||||||
−6.00000 | + | 10.3923i | −0.503509 | + | 0.872103i | |||||
9.00000 | + | 15.5885i | 0.752618 | + | 1.30357i | |||||
2.00000 | + | 3.46410i | 0.166667 | + | 0.288675i | |||||
0 | 0 | |||||||||
−2.00000 | −0.165521 | |||||||||
−5.50000 | − | 4.33013i | −0.453632 | − | 0.357143i | |||||
−14.0000 | −1.15079 | |||||||||
2.00000 | − | 3.46410i | 0.163846 | − | 0.283790i | −0.772399 | − | 0.635138i | ||
0.936245 | + | 0.351348i | ||||||||
0 | 0 | |||||||||
−4.00000 | − | 6.92820i | −0.325515 | − | 0.563809i | 0.656101 | − | 0.754673i | ||
−0.981617 | + | 0.190864i | ||||||||
0 | 0 | |||||||||
4.00000 | 0.323381 | |||||||||
−6.00000 | − | 31.1769i | −0.483494 | − | 2.51231i | |||||
0 | 0 | |||||||||
3.00000 | − | 5.19615i | 0.240192 | − | 0.416025i | |||||
5.00000 | + | 8.66025i | 0.399043 | + | 0.691164i | 0.993608 | − | 0.112884i | ||
−0.594565 | + | 0.804048i | ||||||||
1.00000 | + | 1.73205i | 0.0795557 | + | 0.137795i | |||||
−2.00000 | + | 3.46410i | −0.158610 | + | 0.274721i | |||||
0 | 0 | |||||||||
−10.0000 | − | 3.46410i | −0.788110 | − | 0.273009i | |||||
2.00000 | 0.157135 | |||||||||
−6.00000 | + | 10.3923i | −0.469956 | + | 0.813988i | −0.999410 | − | 0.0343508i | ||
0.529454 | + | 0.848339i | ||||||||
6.00000 | + | 10.3923i | 0.468521 | + | 0.811503i | |||||
0 | 0 | |||||||||
2.00000 | − | 3.46410i | 0.155230 | − | 0.268866i | |||||
10.0000 | 0.773823 | 0.386912 | − | 0.922117i | ||||||
0.386912 | + | 0.922117i | ||||||||
0 | 0 | |||||||||
−4.00000 | −0.307692 | |||||||||
0 | 0 | |||||||||
−0.500000 | − | 0.866025i | −0.0382360 | − | 0.0662266i | |||||
1.00000 | + | 1.73205i | 0.0762493 | + | 0.132068i | |||||
12.0000 | − | 20.7846i | 0.912343 | − | 1.58022i | 0.101598 | − | 0.994826i | ||
0.810745 | − | 0.585399i | ||||||||
16.0000 | 1.21296 | |||||||||
0 | 0 | |||||||||
24.0000 | 1.80907 | |||||||||
−4.00000 | + | 6.92820i | −0.300658 | + | 0.520756i | |||||
12.0000 | + | 20.7846i | 0.899438 | + | 1.55787i | |||||
−9.00000 | − | 15.5885i | −0.672692 | − | 1.16514i | −0.977138 | − | 0.212607i | ||
0.304446 | − | 0.952529i | ||||||||
0 | 0 | |||||||||
13.0000 | 0.966282 | 0.483141 | − | 0.875542i | ||||||
0.483141 | + | 0.875542i | ||||||||
−15.0000 | − | 5.19615i | −1.11187 | − | 0.385164i | |||||
14.0000 | 1.03491 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
1.00000 | + | 1.73205i | 0.0733236 | + | 0.127000i | |||||
12.0000 | − | 20.7846i | 0.877527 | − | 1.51992i | |||||
−4.00000 | −0.291730 | |||||||||
−0.500000 | − | 2.59808i | −0.0363696 | − | 0.188982i | |||||
0 | 0 | |||||||||
−5.00000 | + | 8.66025i | −0.361787 | + | 0.626634i | −0.988255 | − | 0.152813i | ||
0.626468 | + | 0.779447i | ||||||||
−4.00000 | − | 6.92820i | −0.288675 | − | 0.500000i | |||||
−4.50000 | − | 7.79423i | −0.323917 | − | 0.561041i | 0.657376 | − | 0.753563i | ||
−0.981293 | + | 0.192522i | ||||||||
−6.00000 | + | 10.3923i | −0.430775 | + | 0.746124i | |||||
0 | 0 | |||||||||
11.0000 | + | 8.66025i | 0.785714 | + | 0.618590i | |||||
−12.0000 | −0.854965 | −0.427482 | − | 0.904024i | ||||||
−0.427482 | + | 0.904024i | ||||||||
6.00000 | − | 10.3923i | 0.426401 | − | 0.738549i | |||||
−4.00000 | − | 6.92820i | −0.283552 | − | 0.491127i | 0.688705 | − | 0.725042i | ||
−0.972257 | + | 0.233915i | ||||||||
0 | 0 | |||||||||
−3.50000 | + | 6.06218i | −0.246871 | + | 0.427593i | |||||
−20.0000 | −1.40720 | |||||||||
−4.00000 | − | 20.7846i | −0.280745 | − | 1.45879i | |||||
−8.00000 | −0.560112 | |||||||||
0 | 0 | |||||||||
−19.0000 | − | 32.9090i | −1.32379 | − | 2.29288i | |||||
−2.00000 | − | 3.46410i | −0.139010 | − | 0.240772i | |||||
6.00000 | − | 10.3923i | 0.416025 | − | 0.720577i | |||||
−6.00000 | −0.415029 | |||||||||
0 | 0 | |||||||||
−20.0000 | −1.37686 | −0.688428 | − | 0.725304i | ||||||
−0.688428 | + | 0.725304i | ||||||||
4.00000 | − | 6.92820i | 0.274721 | − | 0.475831i | |||||
3.00000 | + | 5.19615i | 0.205557 | + | 0.356034i | |||||
12.0000 | + | 20.7846i | 0.820303 | + | 1.42081i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
2.00000 | − | 1.73205i | 0.135769 | − | 0.117579i | |||||
−30.0000 | −2.03186 | |||||||||
−0.500000 | + | 0.866025i | −0.0337869 | + | 0.0585206i | |||||
0 | 0 | |||||||||
−6.00000 | − | 10.3923i | −0.403604 | − | 0.699062i | |||||
−7.00000 | + | 12.1244i | −0.469809 | + | 0.813733i | |||||
24.0000 | 1.60716 | 0.803579 | − | 0.595198i | ||||||
0.803579 | + | 0.595198i | ||||||||
−16.0000 | + | 13.8564i | −1.06904 | + | 0.925820i | |||||
0 | 0 | |||||||||
−6.00000 | + | 10.3923i | −0.399114 | + | 0.691286i | |||||
−5.00000 | − | 8.66025i | −0.331862 | − | 0.574801i | 0.651015 | − | 0.759065i | ||
−0.982877 | + | 0.184263i | ||||||||
1.00000 | + | 1.73205i | 0.0662266 | + | 0.114708i | |||||
−6.50000 | + | 11.2583i | −0.429532 | + | 0.743971i | −0.996832 | − | 0.0795401i | ||
0.567300 | + | 0.823511i | ||||||||
0 | 0 | |||||||||
−15.0000 | − | 5.19615i | −0.986928 | − | 0.341882i | |||||
0 | 0 | |||||||||
3.00000 | − | 5.19615i | 0.196537 | − | 0.340411i | −0.750867 | − | 0.660454i | ||
0.947403 | + | 0.320043i | ||||||||
−3.00000 | − | 5.19615i | −0.196116 | − | 0.339683i | |||||
0 | 0 | |||||||||
8.00000 | − | 13.8564i | 0.520756 | − | 0.901975i | |||||
1.00000 | 0.0649570 | |||||||||
4.00000 | + | 20.7846i | 0.259281 | + | 1.34727i | |||||
14.0000 | 0.905585 | 0.452792 | − | 0.891616i | ||||||
0.452792 | + | 0.891616i | ||||||||
0 | 0 | |||||||||
9.00000 | + | 15.5885i | 0.579741 | + | 1.00414i | 0.995509 | + | 0.0946700i | ||
−0.415768 | + | 0.909471i | ||||||||
−25.0000 | − | 43.3013i | −1.60706 | − | 2.78351i | |||||
0.500000 | − | 0.866025i | 0.0320750 | − | 0.0555556i | |||||
−28.0000 | −1.79252 | |||||||||
0 | 0 | |||||||||
12.0000 | 0.765092 | |||||||||
−1.50000 | + | 2.59808i | −0.0954427 | + | 0.165312i | |||||
0 | 0 | |||||||||
−1.00000 | − | 1.73205i | −0.0633724 | − | 0.109764i | |||||
0 | 0 | |||||||||
12.0000 | 0.757433 | 0.378717 | − | 0.925513i | ||||||
0.378717 | + | 0.925513i | ||||||||
1.00000 | + | 5.19615i | 0.0629941 | + | 0.327327i | |||||
−24.0000 | −1.50887 | |||||||||
5.00000 | − | 8.66025i | 0.313728 | − | 0.543393i | |||||
0 | 0 | |||||||||
−8.00000 | − | 13.8564i | −0.500000 | − | 0.866025i | |||||
−9.00000 | + | 15.5885i | −0.561405 | + | 0.972381i | 0.435970 | + | 0.899961i | ||
−0.997374 | + | 0.0724199i | ||||||||
2.00000 | 0.124515 | |||||||||
17.5000 | + | 6.06218i | 1.08740 | + | 0.376685i | |||||
0 | 0 | |||||||||
4.00000 | − | 6.92820i | 0.247594 | − | 0.428845i | |||||
−2.00000 | − | 3.46410i | −0.123560 | − | 0.214013i | |||||
2.00000 | + | 3.46410i | 0.123325 | + | 0.213606i | 0.921077 | − | 0.389380i | ||
−0.797752 | + | 0.602986i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
4.00000 | − | 3.46410i | 0.245256 | − | 0.212398i | |||||
12.0000 | 0.734388 | |||||||||
7.00000 | − | 12.1244i | 0.427593 | − | 0.740613i | |||||
5.00000 | + | 8.66025i | 0.304855 | + | 0.528025i | 0.977229 | − | 0.212187i | ||
−0.672374 | + | 0.740212i | ||||||||
0 | 0 | |||||||||
12.0000 | − | 20.7846i | 0.728948 | − | 1.26258i | −0.228380 | − | 0.973572i | ||
0.957328 | − | 0.289003i | ||||||||
−16.0000 | −0.970143 | |||||||||
−6.00000 | + | 5.19615i | −0.363137 | + | 0.314485i | |||||
−16.0000 | −0.966595 | |||||||||
0 | 0 | |||||||||
4.00000 | + | 6.92820i | 0.240772 | + | 0.417029i | |||||
−3.50000 | − | 6.06218i | −0.210295 | − | 0.364241i | 0.741512 | − | 0.670940i | ||
−0.951807 | + | 0.306699i | ||||||||
−21.0000 | + | 36.3731i | −1.25950 | + | 2.18151i | |||||
1.00000 | 0.0598684 | |||||||||
0 | 0 | |||||||||
−12.0000 | −0.715860 | −0.357930 | − | 0.933748i | ||||||
−0.357930 | + | 0.933748i | ||||||||
−2.00000 | + | 3.46410i | −0.119098 | + | 0.206284i | |||||
−3.50000 | − | 6.06218i | −0.208053 | − | 0.360359i | 0.743048 | − | 0.669238i | ||
−0.951101 | + | 0.308879i | ||||||||
−6.00000 | − | 10.3923i | −0.356034 | − | 0.616670i | |||||
0 | 0 | |||||||||
−36.0000 | −2.12872 | |||||||||
−3.00000 | − | 15.5885i | −0.177084 | − | 0.920158i | |||||
−8.00000 | −0.471405 | |||||||||
0.500000 | − | 0.866025i | 0.0294118 | − | 0.0509427i | |||||
0 | 0 | |||||||||
3.00000 | + | 5.19615i | 0.175863 | + | 0.304604i | |||||
1.00000 | − | 1.73205i | 0.0585206 | − | 0.101361i | |||||
16.0000 | 0.934730 | 0.467365 | − | 0.884064i | ||||||
0.467365 | + | 0.884064i | ||||||||
13.0000 | − | 5.19615i | 0.758175 | − | 0.303046i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−3.00000 | − | 5.19615i | −0.174078 | − | 0.301511i | |||||
4.00000 | + | 6.92820i | 0.231714 | + | 0.401340i | |||||
−6.00000 | + | 10.3923i | −0.346989 | + | 0.601003i | |||||
0 | 0 | |||||||||
−0.500000 | − | 2.59808i | −0.0288195 | − | 0.149751i | |||||
16.0000 | 0.920697 | |||||||||
−5.00000 | + | 8.66025i | −0.287242 | + | 0.497519i | |||||
2.00000 | + | 3.46410i | 0.114708 | + | 0.198680i | |||||
0 | 0 | |||||||||
−4.00000 | + | 6.92820i | −0.228665 | + | 0.396059i | |||||
−3.00000 | −0.171219 | −0.0856095 | − | 0.996329i | ||||||
−0.0856095 | + | 0.996329i | ||||||||
30.0000 | + | 10.3923i | 1.70941 | + | 0.592157i | |||||
−19.0000 | −1.08087 | |||||||||
0 | 0 | |||||||||
−3.00000 | − | 5.19615i | −0.170114 | − | 0.294647i | 0.768345 | − | 0.640036i | ||
−0.938460 | + | 0.345389i | ||||||||
0 | 0 | |||||||||
5.50000 | − | 9.52628i | 0.310878 | − | 0.538457i | −0.667674 | − | 0.744453i | ||
0.978553 | + | 0.205996i | ||||||||
−20.0000 | −1.12867 | |||||||||
0 | 0 | |||||||||
−2.00000 | −0.112509 | |||||||||
10.0000 | − | 17.3205i | 0.561656 | − | 0.972817i | −0.435696 | − | 0.900094i | ||
0.997352 | − | 0.0727229i | ||||||||
−4.00000 | − | 6.92820i | −0.224309 | − | 0.388514i | |||||
−24.0000 | − | 41.5692i | −1.34374 | − | 2.32743i | |||||
0 | 0 | |||||||||
12.0000 | 0.669775 | |||||||||
16.0000 | − | 13.8564i | 0.891645 | − | 0.772187i | |||||
4.00000 | 0.222566 | |||||||||
−1.00000 | + | 1.73205i | −0.0555556 | + | 0.0962250i | |||||
0 | 0 | |||||||||
−12.0000 | − | 20.7846i | −0.664619 | − | 1.15115i | |||||
−7.50000 | + | 12.9904i | −0.414751 | + | 0.718370i | |||||
0 | 0 | |||||||||
5.00000 | + | 1.73205i | 0.275659 | + | 0.0954911i | |||||
0 | 0 | |||||||||
4.50000 | − | 7.79423i | 0.247342 | − | 0.428410i | −0.715445 | − | 0.698669i | ||
0.962788 | + | 0.270259i | ||||||||
2.00000 | + | 3.46410i | 0.109764 | + | 0.190117i | |||||
3.50000 | + | 6.06218i | 0.191799 | + | 0.332205i | |||||
−10.0000 | + | 17.3205i | −0.547176 | + | 0.947736i | |||||
0 | 0 | |||||||||
2.00000 | + | 10.3923i | 0.109109 | + | 0.566947i | |||||
−25.0000 | −1.36184 | −0.680918 | − | 0.732359i | ||||||
−0.680918 | + | 0.732359i | ||||||||
4.00000 | − | 6.92820i | 0.217571 | − | 0.376845i | |||||
3.00000 | + | 5.19615i | 0.162938 | + | 0.282216i | |||||
0 | 0 | |||||||||
3.00000 | − | 5.19615i | 0.162459 | − | 0.281387i | |||||
2.00000 | 0.108148 | |||||||||
−10.0000 | − | 15.5885i | −0.539949 | − | 0.841698i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
24.0000 | + | 41.5692i | 1.29025 | + | 2.23478i | |||||
8.00000 | + | 13.8564i | 0.429463 | + | 0.743851i | 0.996826 | − | 0.0796169i | ||
−0.567363 | + | 0.823468i | ||||||||
−8.00000 | + | 13.8564i | −0.428845 | + | 0.742781i | |||||
2.00000 | 0.107058 | 0.0535288 | − | 0.998566i | ||||||
0.0535288 | + | 0.998566i | ||||||||
0 | 0 | |||||||||
−3.00000 | −0.160128 | |||||||||
−24.0000 | + | 41.5692i | −1.27920 | + | 2.21565i | |||||
−9.00000 | − | 15.5885i | −0.479022 | − | 0.829690i | 0.520689 | − | 0.853746i | ||
−0.999711 | + | 0.0240566i | ||||||||
−8.00000 | − | 13.8564i | −0.425195 | − | 0.736460i | |||||
0 | 0 | |||||||||
−24.0000 | −1.27200 | |||||||||
10.0000 | + | 3.46410i | 0.529256 | + | 0.183340i | |||||
36.0000 | 1.90266 | |||||||||
12.0000 | − | 20.7846i | 0.633336 | − | 1.09697i | −0.353529 | − | 0.935423i | ||
0.986865 | − | 0.161546i | ||||||||
0 | 0 | |||||||||
9.00000 | + | 15.5885i | 0.473684 | + | 0.820445i | |||||
−13.0000 | + | 22.5167i | −0.683265 | + | 1.18345i | |||||
−25.0000 | −1.31216 | |||||||||
12.0000 | − | 10.3923i | 0.628971 | − | 0.544705i | |||||
0 | 0 | |||||||||
−14.0000 | + | 24.2487i | −0.731792 | + | 1.26750i | |||||
9.50000 | + | 16.4545i | 0.495896 | + | 0.858917i | 0.999989 | − | 0.00473247i | ||
−0.504093 | + | 0.863649i | ||||||||
8.00000 | + | 13.8564i | 0.417029 | + | 0.722315i | |||||
3.00000 | − | 5.19615i | 0.156174 | − | 0.270501i | |||||
0 | 0 | |||||||||
−8.00000 | + | 6.92820i | −0.415339 | + | 0.359694i | |||||
−2.00000 | −0.103695 | |||||||||
5.50000 | − | 9.52628i | 0.284779 | − | 0.493252i | −0.687776 | − | 0.725923i | ||
0.972556 | + | 0.232671i | ||||||||
24.0000 | + | 41.5692i | 1.24101 | + | 2.14949i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−24.0000 | −1.23606 | |||||||||
5.00000 | + | 1.73205i | 0.257172 | + | 0.0890871i | |||||
11.0000 | 0.565032 | 0.282516 | − | 0.959263i | ||||||
0.282516 | + | 0.959263i | ||||||||
0 | 0 | |||||||||
−2.50000 | − | 4.33013i | −0.128079 | − | 0.221839i | |||||
−10.0000 | − | 17.3205i | −0.511645 | − | 0.886194i | |||||
14.0000 | − | 24.2487i | 0.715367 | − | 1.23905i | −0.247451 | − | 0.968900i | ||
0.962818 | − | 0.270151i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
18.0000 | 0.916176 | |||||||||
0.500000 | − | 0.866025i | 0.0254164 | − | 0.0440225i | |||||
−6.00000 | − | 10.3923i | −0.304604 | − | 0.527589i | |||||
−3.00000 | − | 5.19615i | −0.152106 | − | 0.263455i | 0.779895 | − | 0.625910i | ||
−0.932002 | + | 0.362454i | ||||||||
0 | 0 | |||||||||
16.0000 | 0.809155 | |||||||||
0 | 0 | |||||||||
−2.00000 | −0.100887 | |||||||||
12.0000 | − | 20.7846i | 0.604551 | − | 1.04711i | |||||
0 | 0 | |||||||||
6.00000 | + | 10.3923i | 0.301511 | + | 0.522233i | |||||
−18.5000 | + | 32.0429i | −0.928488 | + | 1.60819i | −0.142636 | + | 0.989775i | ||
−0.785853 | + | 0.618414i | ||||||||
16.0000 | 0.802008 | |||||||||
−0.500000 | − | 2.59808i | −0.0250313 | − | 0.130066i | |||||
0 | 0 | |||||||||
6.00000 | − | 10.3923i | 0.299626 | − | 0.518967i | −0.676425 | − | 0.736512i | ||
0.976050 | + | 0.217545i | ||||||||
−7.00000 | − | 12.1244i | −0.349128 | − | 0.604708i | |||||
−1.50000 | − | 2.59808i | −0.0747203 | − | 0.129419i | |||||
10.0000 | − | 17.3205i | 0.497519 | − | 0.861727i | |||||
0 | 0 | |||||||||
40.0000 | + | 13.8564i | 1.98517 | + | 0.687682i | |||||
42.0000 | 2.08186 | |||||||||
0 | 0 | |||||||||
−2.50000 | − | 4.33013i | −0.123617 | − | 0.214111i | 0.797574 | − | 0.603220i | ||
−0.921192 | + | 0.389109i | ||||||||
0 | 0 | |||||||||
−4.00000 | + | 6.92820i | −0.197305 | + | 0.341743i | |||||
38.0000 | 1.87213 | |||||||||
−16.0000 | + | 13.8564i | −0.787309 | + | 0.681829i | |||||
8.00000 | 0.393179 | |||||||||
0 | 0 | |||||||||
12.0000 | + | 20.7846i | 0.588348 | + | 1.01905i | |||||
10.5000 | + | 18.1865i | 0.514187 | + | 0.890598i | |||||
6.00000 | − | 10.3923i | 0.293470 | − | 0.508304i | |||||
6.00000 | 0.293119 | 0.146560 | − | 0.989202i | ||||||
0.146560 | + | 0.989202i | ||||||||
0 | 0 | |||||||||
1.00000 | 0.0487370 | 0.0243685 | − | 0.999703i | ||||||
0.0243685 | + | 0.999703i | ||||||||
20.0000 | − | 34.6410i | 0.973585 | − | 1.68630i | |||||
1.00000 | + | 1.73205i | 0.0486217 | + | 0.0842152i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−12.0000 | −0.581402 | |||||||||
35.0000 | + | 12.1244i | 1.69377 | + | 0.586739i | |||||
−24.0000 | −1.16008 | |||||||||
−9.00000 | + | 15.5885i | −0.434524 | + | 0.752618i | |||||
0 | 0 | |||||||||
1.00000 | + | 1.73205i | 0.0481683 | + | 0.0834300i | 0.889104 | − | 0.457705i | ||
−0.840936 | + | 0.541135i | ||||||||
−2.00000 | + | 3.46410i | −0.0962250 | + | 0.166667i | |||||
5.00000 | 0.240285 | 0.120142 | − | 0.992757i | ||||||
0.120142 | + | 0.992757i | ||||||||
1.00000 | + | 5.19615i | 0.0480015 | + | 0.249423i | |||||
0 | 0 | |||||||||
15.0000 | − | 25.9808i | 0.718370 | − | 1.24425i | |||||
−2.00000 | − | 3.46410i | −0.0956730 | − | 0.165710i | |||||
−1.00000 | − | 1.73205i | −0.0477818 | − | 0.0827606i | |||||
−8.00000 | + | 13.8564i | −0.381819 | + | 0.661330i | −0.991322 | − | 0.131453i | ||
0.609503 | + | 0.792784i | ||||||||
0 | 0 | |||||||||
1.00000 | − | 6.92820i | 0.0476190 | − | 0.329914i | |||||
24.0000 | 1.14156 | |||||||||
−18.0000 | + | 31.1769i | −0.855206 | + | 1.48126i | 0.0212481 | + | 0.999774i | ||
−0.876454 | + | 0.481486i | ||||||||
−7.00000 | − | 12.1244i | −0.332205 | − | 0.575396i | |||||
0 | 0 | |||||||||
−24.0000 | + | 41.5692i | −1.13643 | + | 1.96836i | |||||
4.00000 | 0.189194 | |||||||||
−4.00000 | − | 20.7846i | −0.188982 | − | 0.981981i | |||||
30.0000 | 1.41579 | 0.707894 | − | 0.706319i | ||||||
0.707894 | + | 0.706319i | ||||||||
0 | 0 | |||||||||
−18.0000 | − | 31.1769i | −0.847587 | − | 1.46806i | |||||
−6.00000 | − | 10.3923i | −0.282216 | − | 0.488813i | |||||
4.00000 | − | 6.92820i | 0.187936 | − | 0.325515i | |||||
20.0000 | 0.938647 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−7.50000 | + | 12.9904i | −0.350835 | + | 0.607664i | −0.986396 | − | 0.164386i | ||
0.635561 | + | 0.772051i | ||||||||
−13.0000 | − | 22.5167i | −0.607450 | − | 1.05213i | |||||
2.00000 | + | 3.46410i | 0.0933520 | + | 0.161690i | |||||
0 | 0 | |||||||||
−8.00000 | −0.372597 | −0.186299 | − | 0.982493i | ||||||
−0.186299 | + | 0.982493i | ||||||||
24.0000 | − | 20.7846i | 1.11658 | − | 0.966988i | |||||
−3.00000 | −0.139422 | −0.0697109 | − | 0.997567i | ||||||
−0.0697109 | + | 0.997567i | ||||||||
−16.0000 | + | 27.7128i | −0.742781 | + | 1.28654i | |||||
0 | 0 | |||||||||
6.00000 | + | 10.3923i | 0.277945 | + | 0.481414i | |||||
11.0000 | − | 19.0526i | 0.509019 | − | 0.881647i | −0.490926 | − | 0.871201i | ||
0.999945 | − | 0.0104461i | ||||||||
6.00000 | 0.277350 | |||||||||
−14.0000 | + | 12.1244i | −0.646460 | + | 0.559851i | |||||
0 | 0 | |||||||||
−5.00000 | + | 8.66025i | −0.230388 | + | 0.399043i | |||||
0 | 0 | |||||||||
−3.00000 | − | 5.19615i | −0.137940 | − | 0.238919i | |||||
−1.00000 | + | 1.73205i | −0.0459315 | + | 0.0795557i | |||||
0 | 0 | |||||||||
−20.0000 | − | 6.92820i | −0.916698 | − | 0.317554i | |||||
−4.00000 | −0.183147 | |||||||||
−14.0000 | + | 24.2487i | −0.640345 | + | 1.10911i | |||||
2.00000 | + | 3.46410i | 0.0913823 | + | 0.158279i | 0.908093 | − | 0.418769i | ||
−0.816711 | + | 0.577047i | ||||||||
0 | 0 | |||||||||
10.5000 | − | 18.1865i | 0.478759 | − | 0.829235i | |||||
−36.0000 | −1.63976 | |||||||||
−2.00000 | − | 10.3923i | −0.0910032 | − | 0.472866i | |||||
50.0000 | 2.27273 | |||||||||
0 | 0 | |||||||||
1.00000 | + | 1.73205i | 0.0453609 | + | 0.0785674i | |||||
−6.50000 | − | 11.2583i | −0.294543 | − | 0.510164i | 0.680335 | − | 0.732901i | ||
−0.974879 | + | 0.222737i | ||||||||
0 | 0 | |||||||||
−12.0000 | −0.542659 | |||||||||
0 | 0 | |||||||||
−12.0000 | −0.541552 | −0.270776 | − | 0.962642i | ||||||
−0.270776 | + | 0.962642i | ||||||||
−6.00000 | + | 10.3923i | −0.270501 | + | 0.468521i | |||||
16.0000 | + | 27.7128i | 0.720604 | + | 1.24812i | |||||
−3.00000 | − | 5.19615i | −0.134976 | − | 0.233786i | |||||
0 | 0 | |||||||||
−4.00000 | −0.179605 | |||||||||
3.00000 | + | 15.5885i | 0.134568 | + | 0.699238i | |||||
4.00000 | 0.179244 | |||||||||
−14.5000 | + | 25.1147i | −0.649109 | + | 1.12429i | 0.334227 | + | 0.942493i | ||
−0.983336 | + | 0.181797i | ||||||||
0 | 0 | |||||||||
5.00000 | + | 8.66025i | 0.223384 | + | 0.386912i | |||||
−12.0000 | + | 20.7846i | −0.535586 | + | 0.927663i | |||||
2.00000 | 0.0891756 | 0.0445878 | − | 0.999005i | ||||||
0.0445878 | + | 0.999005i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
24.0000 | − | 41.5692i | 1.06693 | − | 1.84798i | |||||
−2.00000 | − | 3.46410i | −0.0888231 | − | 0.153846i | |||||
5.00000 | + | 8.66025i | 0.221839 | + | 0.384237i | |||||
−5.00000 | + | 8.66025i | −0.221621 | + | 0.383859i | −0.955300 | − | 0.295637i | ||
0.733679 | + | 0.679496i | ||||||||
0 | 0 | |||||||||
−2.00000 | + | 1.73205i | −0.0884748 | + | 0.0766214i | |||||
32.0000 | 1.41421 | |||||||||
0.500000 | − | 0.866025i | 0.0220755 | − | 0.0382360i | |||||
−18.0000 | − | 31.1769i | −0.793946 | − | 1.37515i | |||||
0 | 0 | |||||||||
−1.00000 | + | 1.73205i | −0.0440225 | + | 0.0762493i | |||||
12.0000 | 0.527759 | |||||||||
−28.0000 | + | 24.2487i | −1.23025 | + | 1.06543i | |||||
24.0000 | 1.05348 | |||||||||
0 | 0 | |||||||||
−2.00000 | − | 3.46410i | −0.0876216 | − | 0.151765i | 0.818884 | − | 0.573959i | ||
−0.906505 | + | 0.422194i | ||||||||
8.00000 | + | 13.8564i | 0.350150 | + | 0.606478i | |||||
5.50000 | − | 9.52628i | 0.240498 | − | 0.416555i | −0.720358 | − | 0.693602i | ||
0.960856 | + | 0.277047i | ||||||||
4.00000 | 0.174741 | |||||||||
0 | 0 | |||||||||
−8.00000 | −0.348817 | |||||||||
−2.00000 | + | 3.46410i | −0.0871214 | + | 0.150899i | |||||
12.0000 | + | 20.7846i | 0.522233 | + | 0.904534i | |||||
3.50000 | + | 6.06218i | 0.152174 | + | 0.263573i | |||||
0 | 0 | |||||||||
−8.00000 | −0.347170 | |||||||||
1.00000 | + | 5.19615i | 0.0433555 | + | 0.225282i | |||||
−18.0000 | −0.779667 | |||||||||
−12.0000 | + | 20.7846i | −0.519291 | + | 0.899438i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
9.00000 | − | 15.5885i | 0.388379 | − | 0.672692i | |||||
−20.0000 | −0.862261 | |||||||||
−33.0000 | − | 25.9808i | −1.42141 | − | 1.11907i | |||||
0 | 0 | |||||||||
1.50000 | − | 2.59808i | 0.0644900 | − | 0.111700i | −0.831978 | − | 0.554809i | ||
0.896468 | + | 0.443109i | ||||||||
24.0000 | + | 41.5692i | 1.03089 | + | 1.78555i | |||||
6.50000 | + | 11.2583i | 0.278942 | + | 0.483141i | |||||
16.0000 | − | 27.7128i | 0.685994 | − | 1.18818i | |||||
0 | 0 | |||||||||
−3.00000 | − | 15.5885i | −0.128388 | − | 0.667124i | |||||
−36.0000 | −1.53925 | −0.769624 | − | 0.638497i | ||||||
−0.769624 | + | 0.638497i | ||||||||
8.00000 | − | 13.8564i | 0.341743 | − | 0.591916i | |||||
7.00000 | + | 12.1244i | 0.298753 | + | 0.517455i | |||||
0 | 0 | |||||||||
4.00000 | − | 6.92820i | 0.170406 | − | 0.295151i | |||||
0 | 0 | |||||||||
2.50000 | + | 0.866025i | 0.106311 | + | 0.0368271i | |||||
14.0000 | 0.594803 | |||||||||
0 | 0 | |||||||||
−21.0000 | − | 36.3731i | −0.890598 | − | 1.54256i | |||||
−5.00000 | − | 8.66025i | −0.211857 | − | 0.366947i | 0.740439 | − | 0.672124i | ||
−0.952296 | + | 0.305177i | ||||||||
−1.00000 | + | 1.73205i | −0.0423334 | + | 0.0733236i | |||||
−3.00000 | −0.126886 | |||||||||
0 | 0 | |||||||||
24.0000 | 1.01328 | |||||||||
12.0000 | − | 20.7846i | 0.506189 | − | 0.876746i | |||||
−13.0000 | − | 22.5167i | −0.547885 | − | 0.948964i | −0.998419 | − | 0.0562051i | ||
0.450535 | − | 0.892759i | ||||||||
−2.00000 | − | 3.46410i | −0.0842152 | − | 0.145865i | |||||
0 | 0 | |||||||||
14.0000 | 0.588464 | |||||||||
2.00000 | − | 1.73205i | 0.0839921 | − | 0.0727393i | |||||
0 | 0 | |||||||||
−9.00000 | + | 15.5885i | −0.377300 | + | 0.653502i | −0.990668 | − | 0.136295i | ||
0.613369 | + | 0.789797i | ||||||||
0 | 0 | |||||||||
1.50000 | + | 2.59808i | 0.0627730 | + | 0.108726i | 0.895704 | − | 0.444651i | ||
−0.832931 | + | 0.553377i | ||||||||
18.0000 | − | 31.1769i | 0.752618 | − | 1.30357i | |||||
−10.0000 | −0.417756 | |||||||||
30.0000 | + | 10.3923i | 1.25218 | + | 0.433766i | |||||
0 | 0 | |||||||||
4.00000 | − | 6.92820i | 0.166667 | − | 0.288675i | |||||
−14.5000 | − | 25.1147i | −0.603643 | − | 1.04554i | −0.992264 | − | 0.124143i | ||
0.388621 | − | 0.921397i | ||||||||
1.00000 | + | 1.73205i | 0.0415945 | + | 0.0720438i | |||||
4.50000 | − | 7.79423i | 0.187014 | − | 0.323917i | |||||
0 | 0 | |||||||||
−1.00000 | − | 5.19615i | −0.0414870 | − | 0.215573i | |||||
−12.0000 | −0.497416 | |||||||||
−12.0000 | + | 20.7846i | −0.496989 | + | 0.860811i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−16.0000 | + | 27.7128i | −0.660954 | + | 1.14481i | |||||
−12.0000 | −0.495293 | −0.247647 | − | 0.968850i | ||||||
−0.247647 | + | 0.968850i | ||||||||
−2.00000 | + | 13.8564i | −0.0824786 | + | 0.571429i | |||||
1.00000 | 0.0412043 | |||||||||
0 | 0 | |||||||||
−6.00000 | − | 10.3923i | −0.246807 | − | 0.427482i | |||||
−14.0000 | − | 24.2487i | −0.575396 | − | 0.996616i | |||||
−9.00000 | + | 15.5885i | −0.369586 | + | 0.640141i | −0.989501 | − | 0.144528i | ||
0.619915 | + | 0.784669i | ||||||||
12.0000 | 0.492366 | |||||||||
0 | 0 | |||||||||
−8.00000 | −0.327693 | |||||||||
4.00000 | − | 6.92820i | 0.163709 | − | 0.283552i | |||||
−12.0000 | − | 20.7846i | −0.490716 | − | 0.849946i | |||||
2.00000 | + | 3.46410i | 0.0817178 | + | 0.141539i | 0.903988 | − | 0.427558i | ||
−0.822270 | + | 0.569097i | ||||||||
0 | 0 | |||||||||
−33.0000 | −1.34610 | −0.673049 | − | 0.739598i | ||||||
−0.673049 | + | 0.739598i | ||||||||
5.00000 | + | 1.73205i | 0.203785 | + | 0.0705931i | |||||
−7.00000 | −0.285062 | |||||||||
−8.00000 | + | 13.8564i | −0.325515 | + | 0.563809i | |||||
0 | 0 | |||||||||
−10.0000 | − | 17.3205i | −0.406222 | − | 0.703598i | |||||
17.5000 | − | 30.3109i | 0.710303 | − | 1.23028i | −0.254440 | − | 0.967088i | ||
0.964743 | − | 0.263193i | ||||||||
−8.00000 | −0.324443 | |||||||||
16.0000 | − | 13.8564i | 0.648353 | − | 0.561490i | |||||
0 | 0 | |||||||||
3.00000 | − | 5.19615i | 0.121367 | − | 0.210214i | |||||
−4.00000 | − | 6.92820i | −0.161690 | − | 0.280056i | |||||
−15.0000 | − | 25.9808i | −0.605844 | − | 1.04935i | −0.991917 | − | 0.126885i | ||
0.386073 | − | 0.922468i | ||||||||
3.00000 | − | 5.19615i | 0.121070 | − | 0.209700i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−18.0000 | −0.724653 | −0.362326 | − | 0.932051i | ||||||
−0.362326 | + | 0.932051i | ||||||||
19.0000 | − | 32.9090i | 0.764292 | − | 1.32379i | |||||
−1.50000 | − | 2.59808i | −0.0602901 | − | 0.104425i | 0.834305 | − | 0.551303i | ||
−0.894595 | + | 0.446878i | ||||||||
0 | 0 | |||||||||
2.00000 | − | 3.46410i | 0.0802572 | − | 0.139010i | |||||
12.0000 | 0.481156 | |||||||||
30.0000 | + | 10.3923i | 1.20192 | + | 0.416359i | |||||
12.0000 | 0.480384 | |||||||||
0 | 0 | |||||||||
11.0000 | + | 19.0526i | 0.439648 | + | 0.761493i | |||||
−3.00000 | − | 5.19615i | −0.119808 | − | 0.207514i | |||||
10.0000 | − | 17.3205i | 0.399043 | − | 0.691164i | |||||
−28.0000 | −1.11643 | |||||||||
0 | 0 | |||||||||
24.0000 | 0.955425 | 0.477712 | − | 0.878516i | ||||||
0.477712 | + | 0.878516i | ||||||||
0 | 0 | |||||||||
−10.0000 | − | 17.3205i | −0.397464 | − | 0.688428i | |||||
20.0000 | + | 34.6410i | 0.794301 | + | 1.37577i | |||||
0 | 0 | |||||||||
8.00000 | 0.317221 | |||||||||
−19.5000 | + | 7.79423i | −0.772618 | + | 0.308819i | |||||
96.0000 | 3.80068 | |||||||||
−3.00000 | + | 5.19615i | −0.118678 | + | 0.205557i | |||||
0 | 0 | |||||||||
−6.00000 | − | 10.3923i | −0.236986 | − | 0.410471i | 0.722862 | − | 0.690992i | ||
−0.959848 | + | 0.280521i | ||||||||
−12.0000 | + | 20.7846i | −0.473602 | + | 0.820303i | |||||
−1.00000 | −0.0394362 | −0.0197181 | − | 0.999806i | ||||||
−0.0197181 | + | 0.999806i | ||||||||
4.00000 | + | 20.7846i | 0.157622 | + | 0.819028i | |||||
0 | 0 | |||||||||
−4.00000 | + | 6.92820i | −0.157378 | + | 0.272587i | |||||
15.0000 | + | 25.9808i | 0.589711 | + | 1.02141i | 0.994270 | + | 0.106897i | ||
−0.404559 | + | 0.914512i | ||||||||
0 | 0 | |||||||||
−24.0000 | + | 41.5692i | −0.942082 | + | 1.63173i | |||||
0 | 0 | |||||||||
2.50000 | + | 0.866025i | 0.0979827 | + | 0.0339422i | |||||
24.0000 | 0.939913 | |||||||||
7.00000 | − | 12.1244i | 0.273931 | − | 0.474463i | −0.695934 | − | 0.718106i | ||
0.969865 | + | 0.243643i | ||||||||
−15.0000 | − | 25.9808i | −0.586546 | − | 1.01593i | |||||
0 | 0 | |||||||||
−12.0000 | + | 20.7846i | −0.468521 | + | 0.811503i | |||||
−1.00000 | −0.0390137 | |||||||||
−8.00000 | + | 6.92820i | −0.311872 | + | 0.270089i | |||||
−12.0000 | −0.467454 | −0.233727 | − | 0.972302i | ||||||
−0.233727 | + | 0.972302i | ||||||||
0 | 0 | |||||||||
−11.5000 | − | 19.9186i | −0.447298 | − | 0.774743i | 0.550911 | − | 0.834564i | ||
−0.998209 | + | 0.0598209i | ||||||||
9.00000 | + | 15.5885i | 0.349795 | + | 0.605863i | |||||
6.00000 | − | 10.3923i | 0.233021 | − | 0.403604i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−14.0000 | −0.542489 | |||||||||
16.0000 | − | 27.7128i | 0.619522 | − | 1.07304i | |||||
−10.0000 | − | 17.3205i | −0.386912 | − | 0.670151i | |||||
12.0000 | + | 20.7846i | 0.463947 | + | 0.803579i | |||||
0 | 0 | |||||||||
84.0000 | 3.24278 | |||||||||
−20.0000 | − | 6.92820i | −0.771517 | − | 0.267261i | |||||
37.0000 | 1.42625 | 0.713123 | − | 0.701039i | ||||||
0.713123 | + | 0.701039i | ||||||||
25.0000 | − | 43.3013i | 0.962964 | − | 1.66790i | |||||
0 | 0 | |||||||||
4.00000 | + | 6.92820i | 0.153846 | + | 0.266469i | |||||
8.00000 | − | 13.8564i | 0.307465 | − | 0.532545i | −0.670342 | − | 0.742052i | ||
0.977807 | + | 0.209507i | ||||||||
−12.0000 | −0.460857 | |||||||||
3.00000 | + | 15.5885i | 0.115129 | + | 0.598230i | |||||
0 | 0 | |||||||||
5.00000 | − | 8.66025i | 0.191600 | − | 0.331862i | |||||
6.00000 | + | 10.3923i | 0.229752 | + | 0.397942i | |||||
−24.0000 | − | 41.5692i | −0.918334 | − | 1.59060i | −0.801945 | − | 0.597398i | ||
−0.116390 | − | 0.993204i | ||||||||
−1.00000 | + | 1.73205i | −0.0382360 | + | 0.0662266i | |||||
0 | 0 | |||||||||
37.0000 | − | 1.73205i | 1.41267 | − | 0.0661300i | |||||
−13.0000 | −0.495981 | |||||||||
−2.00000 | + | 3.46410i | −0.0762493 | + | 0.132068i | |||||
6.00000 | + | 10.3923i | 0.228582 | + | 0.395915i | |||||
0 | 0 | |||||||||
−13.5000 | + | 23.3827i | −0.513564 | + | 0.889519i | 0.486312 | + | 0.873785i | ||
−0.999876 | + | 0.0157341i | ||||||||
−48.0000 | −1.82469 | |||||||||
−3.00000 | − | 15.5885i | −0.113961 | − | 0.592157i | |||||
−32.0000 | −1.21470 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
12.0000 | + | 20.7846i | 0.454532 | + | 0.787273i | |||||
−2.00000 | + | 3.46410i | −0.0757011 | + | 0.131118i | |||||
6.00000 | 0.226941 | |||||||||
0 | 0 | |||||||||
−44.0000 | −1.66186 | −0.830929 | − | 0.556379i | ||||||
−0.830929 | + | 0.556379i | ||||||||
3.00000 | − | 5.19615i | 0.113228 | − | 0.196116i | |||||
3.50000 | + | 6.06218i | 0.132005 | + | 0.228639i | |||||
−24.0000 | − | 41.5692i | −0.904534 | − | 1.56670i | |||||
0 | 0 | |||||||||
36.0000 | 1.35488 | |||||||||
−20.0000 | + | 17.3205i | −0.752177 | + | 0.651405i | |||||
16.0000 | 0.601317 | |||||||||
13.0000 | − | 22.5167i | 0.488225 | − | 0.845631i | −0.511683 | − | 0.859174i | ||
0.999908 | + | 0.0135434i | ||||||||
0 | 0 | |||||||||
0.500000 | + | 0.866025i | 0.0187515 | + | 0.0324785i | |||||
0 | 0 | |||||||||
4.00000 | 0.149801 | |||||||||
−16.0000 | + | 13.8564i | −0.598785 | + | 0.518563i | |||||
0 | 0 | |||||||||
−18.0000 | + | 31.1769i | −0.672692 | + | 1.16514i | |||||
7.00000 | + | 12.1244i | 0.261420 | + | 0.452792i | |||||
24.0000 | + | 41.5692i | 0.895672 | + | 1.55135i | |||||
17.0000 | − | 29.4449i | 0.633993 | − | 1.09811i | −0.352735 | − | 0.935723i | ||
0.986728 | − | 0.162385i | ||||||||
0 | 0 | |||||||||
−47.5000 | − | 16.4545i | −1.76899 | − | 0.612797i | |||||
−36.0000 | −1.33978 | |||||||||
−9.00000 | + | 15.5885i | −0.334714 | + | 0.579741i | |||||
−13.0000 | − | 22.5167i | −0.483141 | − | 0.836825i | |||||
0 | 0 | |||||||||
25.0000 | − | 43.3013i | 0.927837 | − | 1.60706i | |||||
−7.00000 | −0.259616 | −0.129808 | − | 0.991539i | ||||||
−0.129808 | + | 0.991539i | ||||||||
0 | 0 | |||||||||
1.00000 | 0.0370370 | |||||||||
0 | 0 | |||||||||
2.00000 | + | 3.46410i | 0.0739727 | + | 0.128124i | |||||
−14.0000 | − | 24.2487i | −0.517455 | − | 0.896258i | |||||
−21.5000 | + | 37.2391i | −0.794121 | + | 1.37546i | 0.129275 | + | 0.991609i | ||
−0.923396 | + | 0.383849i | ||||||||
−38.0000 | −1.40261 | |||||||||
0 | 0 | |||||||||
−32.0000 | −1.17954 | |||||||||
−21.0000 | + | 36.3731i | −0.773545 | + | 1.33982i | |||||
6.00000 | + | 10.3923i | 0.220863 | + | 0.382546i | |||||
−20.5000 | − | 35.5070i | −0.754105 | − | 1.30615i | −0.945818 | − | 0.324697i | ||
0.191714 | − | 0.981451i | ||||||||
0 | 0 | |||||||||
−3.00000 | −0.110208 | |||||||||
−4.00000 | − | 20.7846i | −0.146845 | − | 0.763027i | |||||
−6.00000 | −0.220119 | −0.110059 | − | 0.993925i | ||||||
−0.110059 | + | 0.993925i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
11.0000 | + | 19.0526i | 0.402739 | + | 0.697564i | |||||
1.00000 | − | 1.73205i | 0.0365881 | − | 0.0633724i | |||||
−48.0000 | −1.75505 | |||||||||
30.0000 | + | 10.3923i | 1.09618 | + | 0.379727i | |||||
0 | 0 | |||||||||
−14.5000 | + | 25.1147i | −0.529113 | + | 0.916450i | 0.470311 | + | 0.882501i | ||
−0.999424 | + | 0.0339490i | ||||||||
−4.00000 | − | 6.92820i | −0.145865 | − | 0.252646i | |||||
6.00000 | + | 10.3923i | 0.218652 | + | 0.378717i | |||||
24.0000 | − | 41.5692i | 0.874028 | − | 1.51386i | |||||
0 | 0 | |||||||||
−4.00000 | + | 3.46410i | −0.145479 | + | 0.125988i | |||||
22.0000 | 0.799604 | 0.399802 | − | 0.916602i | ||||||
0.399802 | + | 0.916602i | ||||||||
−11.0000 | + | 19.0526i | −0.399538 | + | 0.692020i | |||||
−12.0000 | − | 20.7846i | −0.435572 | − | 0.754434i | |||||
0 | 0 | |||||||||
6.00000 | − | 10.3923i | 0.217500 | − | 0.376721i | −0.736543 | − | 0.676391i | ||
0.954043 | + | 0.299670i | ||||||||
10.0000 | 0.362262 | |||||||||
−30.0000 | + | 25.9808i | −1.08607 | + | 0.940567i | |||||
20.0000 | 0.723575 | |||||||||
0 | 0 | |||||||||
28.0000 | + | 48.4974i | 1.01168 | + | 1.75228i | |||||
12.0000 | + | 20.7846i | 0.433295 | + | 0.750489i | |||||
8.00000 | − | 13.8564i | 0.288675 | − | 0.500000i | |||||
−49.0000 | −1.76699 | −0.883493 | − | 0.468445i | ||||||
−0.883493 | + | 0.468445i | ||||||||
0 | 0 | |||||||||
−18.0000 | −0.648254 | |||||||||
−9.00000 | + | 15.5885i | −0.323917 | + | 0.561041i | |||||
9.00000 | + | 15.5885i | 0.323708 | + | 0.560678i | 0.981250 | − | 0.192740i | ||
−0.657542 | + | 0.753418i | ||||||||
1.00000 | + | 1.73205i | 0.0359443 | + | 0.0622573i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
3.50000 | + | 18.1865i | 0.125562 | + | 0.652438i | |||||
12.0000 | 0.430221 | |||||||||
3.00000 | − | 5.19615i | 0.107486 | − | 0.186171i | |||||
0 | 0 | |||||||||
18.0000 | + | 31.1769i | 0.644091 | + | 1.11560i | |||||
−16.0000 | + | 27.7128i | −0.572159 | + | 0.991008i | |||||
8.00000 | 0.285897 | |||||||||
−4.00000 | + | 27.7128i | −0.142857 | + | 0.989743i | |||||
0 | 0 | |||||||||
2.00000 | − | 3.46410i | 0.0713376 | − | 0.123560i | |||||
−16.0000 | − | 27.7128i | −0.570338 | − | 0.987855i | −0.996531 | − | 0.0832226i | ||
0.426193 | − | 0.904632i | ||||||||
12.0000 | + | 20.7846i | 0.427482 | + | 0.740421i | |||||
−2.00000 | + | 3.46410i | −0.0712019 | + | 0.123325i | |||||
0 | 0 | |||||||||
3.00000 | + | 15.5885i | 0.106668 | + | 0.554262i | |||||
0 | 0 | |||||||||
21.0000 | − | 36.3731i | 0.745732 | − | 1.29165i | |||||
−37.0000 | − | 64.0859i | −1.31308 | − | 2.27432i | |||||
0 | 0 | |||||||||
−8.00000 | + | 13.8564i | −0.283552 | + | 0.491127i | |||||
36.0000 | 1.27519 | 0.637593 | − | 0.770374i | ||||||
0.637593 | + | 0.770374i | ||||||||
5.00000 | + | 1.73205i | 0.176998 | + | 0.0613139i | |||||
−8.00000 | −0.283020 | |||||||||
0 | 0 | |||||||||
6.00000 | + | 10.3923i | 0.212000 | + | 0.367194i | |||||
12.0000 | + | 20.7846i | 0.423735 | + | 0.733930i | |||||
−3.00000 | + | 5.19615i | −0.105868 | + | 0.183368i | |||||
14.0000 | 0.493742 | |||||||||
0 | 0 | |||||||||
6.00000 | 0.211341 | |||||||||
−5.00000 | + | 8.66025i | −0.176008 | + | 0.304855i | |||||
0 | 0 | |||||||||
21.0000 | + | 36.3731i | 0.738321 | + | 1.27881i | 0.953251 | + | 0.302180i | ||
−0.214930 | + | 0.976629i | ||||||||
0 | 0 | |||||||||
−48.0000 | −1.68551 | −0.842754 | − | 0.538299i | ||||||
−0.842754 | + | 0.538299i | ||||||||
−32.0000 | + | 27.7128i | −1.12298 | + | 0.972529i | |||||
24.0000 | 0.841717 | |||||||||
−42.0000 | + | 72.7461i | −1.47210 | + | 2.54975i | |||||
0 | 0 | |||||||||
−8.00000 | − | 13.8564i | −0.280056 | − | 0.485071i | |||||
0.500000 | − | 0.866025i | 0.0174928 | − | 0.0302984i | |||||
10.0000 | 0.349642 | |||||||||
−7.50000 | − | 2.59808i | −0.262071 | − | 0.0907841i | |||||
0 | 0 | |||||||||
−27.0000 | + | 46.7654i | −0.942306 | + | 1.63212i | −0.181250 | + | 0.983437i | ||
−0.761056 | + | 0.648686i | ||||||||
−8.00000 | − | 13.8564i | −0.279032 | − | 0.483298i | |||||
4.00000 | + | 6.92820i | 0.139431 | + | 0.241502i | 0.927281 | − | 0.374365i | ||
−0.787850 | + | 0.615867i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−8.00000 | − | 41.5692i | −0.278356 | − | 1.44638i | |||||
30.0000 | 1.04320 | 0.521601 | − | 0.853189i | ||||||
0.521601 | + | 0.853189i | ||||||||
−4.00000 | + | 6.92820i | −0.139010 | + | 0.240772i | |||||
−28.5000 | − | 49.3634i | −0.989846 | − | 1.71446i | −0.618024 | − | 0.786159i | ||
−0.371822 | − | 0.928304i | ||||||||
0 | 0 | |||||||||
3.50000 | − | 6.06218i | 0.121414 | − | 0.210295i | |||||
−24.0000 | −0.832050 | |||||||||
22.0000 | + | 17.3205i | 0.762255 | + | 0.600120i | |||||
−42.0000 | −1.45434 | |||||||||
0 | 0 | |||||||||
6.00000 | + | 10.3923i | 0.207514 | + | 0.359425i | |||||
0.500000 | + | 0.866025i | 0.0172825 | + | 0.0299342i | |||||
−6.00000 | + | 10.3923i | −0.207267 | + | 0.358996i | |||||
24.0000 | 0.828572 | 0.414286 | − | 0.910147i | ||||||
0.414286 | + | 0.910147i | ||||||||
0 | 0 | |||||||||
35.0000 | 1.20690 | |||||||||
−1.00000 | + | 1.73205i | −0.0344623 | + | 0.0596904i | |||||
−6.00000 | − | 10.3923i | −0.206651 | − | 0.357930i | |||||
20.0000 | + | 34.6410i | 0.688428 | + | 1.19239i | |||||
0 | 0 | |||||||||
−4.00000 | −0.137523 | |||||||||
−62.5000 | − | 21.6506i | −2.14753 | − | 0.743925i | |||||
16.0000 | 0.549442 | |||||||||
3.50000 | − | 6.06218i | 0.120120 | − | 0.208053i | |||||
0 | 0 | |||||||||
14.0000 | + | 24.2487i | 0.479914 | + | 0.831235i | |||||
6.00000 | − | 10.3923i | 0.205557 | − | 0.356034i | |||||
9.00000 | 0.308154 | 0.154077 | − | 0.988059i | ||||||
0.154077 | + | 0.988059i | ||||||||
−56.0000 | + | 48.4974i | −1.91628 | + | 1.65955i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−6.00000 | − | 10.3923i | −0.204956 | − | 0.354994i | 0.745163 | − | 0.666883i | ||
−0.950119 | + | 0.311888i | ||||||||
−18.0000 | − | 31.1769i | −0.614510 | − | 1.06436i | |||||
20.0000 | − | 34.6410i | 0.682391 | − | 1.18194i | −0.291858 | − | 0.956462i | ||
0.974249 | − | 0.225475i | ||||||||
0 | 0 | |||||||||
12.0000 | − | 10.3923i | 0.408959 | − | 0.354169i | |||||
−4.00000 | −0.136241 | |||||||||
−3.00000 | + | 5.19615i | −0.102121 | + | 0.176879i | −0.912558 | − | 0.408946i | ||
0.810437 | + | 0.585826i | ||||||||
−4.00000 | − | 6.92820i | −0.136083 | − | 0.235702i | |||||
0 | 0 | |||||||||
−5.00000 | + | 8.66025i | −0.169907 | + | 0.294287i | |||||
1.00000 | 0.0339618 | |||||||||
−5.00000 | − | 1.73205i | −0.169711 | − | 0.0587896i | |||||
6.00000 | 0.203536 | |||||||||
0 | 0 | |||||||||
10.5000 | + | 18.1865i | 0.355779 | + | 0.616227i | |||||
0 | 0 | |||||||||
−3.00000 | + | 5.19615i | −0.101535 | + | 0.175863i | |||||
8.00000 | 0.270604 | |||||||||
0 | 0 | |||||||||
2.00000 | 0.0675737 | |||||||||
−11.0000 | + | 19.0526i | −0.371444 | + | 0.643359i | −0.989788 | − | 0.142548i | ||
0.618344 | + | 0.785907i | ||||||||
−16.0000 | − | 27.7128i | −0.539974 | − | 0.935262i | |||||
8.00000 | + | 13.8564i | 0.269833 | + | 0.467365i | |||||
0 | 0 | |||||||||
0 | 0 | − | 1.00000i | |||||||
1.00000i | ||||||||||
11.0000 | + | 8.66025i | 0.370389 | + | 0.291606i | |||||
−7.00000 | −0.235569 | −0.117784 | − | 0.993039i | ||||||
−0.117784 | + | 0.993039i | ||||||||
−12.0000 | + | 20.7846i | −0.403604 | + | 0.699062i | |||||
0 | 0 | |||||||||
−36.0000 | − | 62.3538i | −1.20944 | − | 2.09482i | |||||
5.00000 | − | 8.66025i | 0.167884 | − | 0.290783i | −0.769792 | − | 0.638295i | ||
0.937676 | + | 0.347512i | ||||||||
0 | 0 | |||||||||
−2.50000 | − | 12.9904i | −0.0838473 | − | 0.435683i | |||||
0 | 0 | |||||||||
3.00000 | − | 5.19615i | 0.100504 | − | 0.174078i | |||||
−24.0000 | − | 41.5692i | −0.803579 | − | 1.39184i | |||||
1.00000 | + | 1.73205i | 0.0334637 | + | 0.0579609i | |||||
−4.00000 | + | 6.92820i | −0.133780 | + | 0.231714i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−12.0000 | −0.400668 | |||||||||
−30.0000 | + | 51.9615i | −1.00111 | + | 1.73398i | |||||
4.00000 | + | 6.92820i | 0.133407 | + | 0.231069i | |||||
0 | 0 | |||||||||
8.00000 | − | 13.8564i | 0.266519 | − | 0.461624i | |||||
72.0000 | 2.39734 | |||||||||
2.00000 | − | 1.73205i | 0.0665558 | − | 0.0576390i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
8.00000 | + | 13.8564i | 0.265782 | + | 0.460348i | |||||
15.5000 | + | 26.8468i | 0.514669 | + | 0.891433i | 0.999855 | + | 0.0170220i | ||
−0.485186 | + | 0.874411i | ||||||||
−10.0000 | + | 17.3205i | −0.331862 | + | 0.574801i | |||||
−10.0000 | −0.331679 | |||||||||
0 | 0 | |||||||||
12.0000 | 0.397578 | 0.198789 | − | 0.980042i | ||||||
0.198789 | + | 0.980042i | ||||||||
−2.00000 | + | 3.46410i | −0.0662266 | + | 0.114708i | |||||
−6.00000 | − | 10.3923i | −0.198571 | − | 0.343935i | |||||
−15.0000 | − | 25.9808i | −0.496156 | − | 0.859367i | |||||
0 | 0 | |||||||||
26.0000 | 0.859064 | |||||||||
−5.00000 | − | 1.73205i | −0.165115 | − | 0.0571974i | |||||
−8.00000 | −0.264039 | |||||||||
4.50000 | − | 7.79423i | 0.148441 | − | 0.257108i | −0.782210 | − | 0.623015i | ||
0.930652 | + | 0.365907i | ||||||||
0 | 0 | |||||||||
−1.50000 | − | 2.59808i | −0.0494267 | − | 0.0856095i | |||||
8.00000 | − | 13.8564i | 0.263466 | − | 0.456336i | |||||
18.0000 | 0.592477 | |||||||||
6.00000 | + | 31.1769i | 0.197386 | + | 1.02565i | |||||
0 | 0 | |||||||||
3.00000 | − | 5.19615i | 0.0985861 | − | 0.170756i | |||||
−9.50000 | − | 16.4545i | −0.312021 | − | 0.540436i | |||||
−32.0000 | − | 55.4256i | −1.05045 | − | 1.81944i | |||||
7.00000 | − | 12.1244i | 0.229663 | − | 0.397787i | −0.728046 | − | 0.685529i | ||
0.957708 | + | 0.287742i | ||||||||
0 | 0 | |||||||||
1.00000 | − | 6.92820i | 0.0327737 | − | 0.227063i | |||||
−12.0000 | −0.393073 | |||||||||
3.00000 | − | 5.19615i | 0.0982156 | − | 0.170114i | |||||
22.0000 | + | 38.1051i | 0.719862 | + | 1.24684i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
29.0000 | 0.947389 | 0.473694 | − | 0.880689i | ||||||
0.473694 | + | 0.880689i | ||||||||
−7.00000 | − | 36.3731i | −0.228558 | − | 1.18762i | |||||
11.0000 | 0.358971 | |||||||||
0 | 0 | |||||||||
0 | 0 | 0.866025 | − | 0.500000i | ||||||
−0.866025 | + | 0.500000i | ||||||||
−10.0000 | − | 17.3205i | −0.325818 | − | 0.564333i | |||||
12.0000 | − | 20.7846i | 0.390774 | − | 0.676840i | |||||
32.0000 | 1.04151 | |||||||||
0 | 0 | |||||||||
12.0000 | 0.390154 | |||||||||
13.0000 | − | 22.5167i | 0.422443 | − | 0.731693i | −0.573735 | − | 0.819041i | ||
0.996178 | + | 0.0873481i | ||||||||
−1.00000 | − | 1.73205i | −0.0324785 | − | 0.0562544i | |||||
1.50000 | + | 2.59808i | 0.0486921 | + | 0.0843371i | |||||
0 | 0 | |||||||||
20.0000 | 0.648544 | |||||||||
0 | 0 | |||||||||
−4.00000 | −0.129573 | −0.0647864 | − | 0.997899i | ||||||
−0.0647864 | + | 0.997899i | ||||||||
4.00000 | − | 6.92820i | 0.129505 | − | 0.224309i | |||||
0 | 0 | |||||||||
−14.0000 | − | 24.2487i | −0.452792 | − | 0.784259i | |||||
24.0000 | − | 41.5692i | 0.775810 | − | 1.34374i | |||||
−8.00000 | −0.258468 | |||||||||
−16.0000 | + | 13.8564i | −0.516667 | + | 0.447447i | |||||
0 | 0 | |||||||||
15.0000 | − | 25.9808i | 0.483871 | − | 0.838089i | |||||
21.0000 | + | 36.3731i | 0.677067 | + | 1.17271i | |||||
6.00000 | + | 10.3923i | 0.193347 | + | 0.334887i | |||||
18.0000 | − | 31.1769i | 0.579741 | − | 1.00414i | |||||
0 | 0 | |||||||||
20.0000 | + | 6.92820i | 0.643489 | + | 0.222911i | |||||
−55.0000 | −1.76868 | −0.884340 | − | 0.466843i | ||||||
−0.884340 | + | 0.466843i | ||||||||
0 | 0 | |||||||||
2.00000 | + | 3.46410i | 0.0642493 | + | 0.111283i | |||||
0 | 0 | |||||||||
26.0000 | − | 45.0333i | 0.834380 | − | 1.44519i | −0.0601548 | − | 0.998189i | ||
0.894534 | − | 0.446999i | ||||||||
−2.00000 | −0.0641500 | |||||||||
10.5000 | + | 54.5596i | 0.336615 | + | 1.74910i | |||||
26.0000 | 0.833094 | |||||||||
0 | 0 | |||||||||
−28.0000 | − | 48.4974i | −0.896258 | − | 1.55236i | |||||
−11.0000 | − | 19.0526i | −0.351921 | − | 0.609545i | 0.634665 | − | 0.772787i | ||
−0.986586 | + | 0.163242i | ||||||||
12.0000 | − | 20.7846i | 0.383718 | − | 0.664619i | |||||
72.0000 | 2.30113 | |||||||||
0 | 0 | |||||||||
−15.0000 | −0.478913 | |||||||||
12.0000 | − | 20.7846i | 0.382935 | − | 0.663264i | |||||
16.0000 | + | 27.7128i | 0.510321 | + | 0.883901i | 0.999928 | + | 0.0119587i | ||
−0.489608 | + | 0.871943i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−64.0000 | −2.03818 | |||||||||
1.00000 | + | 5.19615i | 0.0318304 | + | 0.165395i | |||||
6.00000 | 0.190885 | |||||||||
2.00000 | − | 3.46410i | 0.0635963 | − | 0.110152i | |||||
0 | 0 | |||||||||
7.50000 | + | 12.9904i | 0.238245 | + | 0.412653i | 0.960211 | − | 0.279276i | ||
−0.721966 | + | 0.691929i | ||||||||
4.00000 | − | 6.92820i | 0.127000 | − | 0.219971i | |||||
9.00000 | 0.285606 | |||||||||
−30.0000 | − | 10.3923i | −0.951542 | − | 0.329624i | |||||
0 | 0 | |||||||||
−2.00000 | + | 3.46410i | −0.0633724 | + | 0.109764i | |||||
−12.5000 | − | 21.6506i | −0.395879 | − | 0.685682i | 0.597334 | − | 0.801993i | ||
−0.993213 | + | 0.116310i | ||||||||
−29.0000 | − | 50.2295i | −0.917979 | − | 1.58999i | |||||
−3.50000 | + | 6.06218i | −0.110735 | + | 0.191799i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 525.2.i.a.226.1 | 2 | ||
5.2 | odd | 4 | 525.2.r.d.499.1 | 4 | |||
5.3 | odd | 4 | 525.2.r.d.499.2 | 4 | |||
5.4 | even | 2 | 105.2.i.b.16.1 | ✓ | 2 | ||
7.2 | even | 3 | 3675.2.a.o.1.1 | 1 | |||
7.4 | even | 3 | inner | 525.2.i.a.151.1 | 2 | ||
7.5 | odd | 6 | 3675.2.a.p.1.1 | 1 | |||
15.14 | odd | 2 | 315.2.j.a.226.1 | 2 | |||
20.19 | odd | 2 | 1680.2.bg.l.961.1 | 2 | |||
35.4 | even | 6 | 105.2.i.b.46.1 | yes | 2 | ||
35.9 | even | 6 | 735.2.a.b.1.1 | 1 | |||
35.18 | odd | 12 | 525.2.r.d.424.1 | 4 | |||
35.19 | odd | 6 | 735.2.a.a.1.1 | 1 | |||
35.24 | odd | 6 | 735.2.i.f.361.1 | 2 | |||
35.32 | odd | 12 | 525.2.r.d.424.2 | 4 | |||
35.34 | odd | 2 | 735.2.i.f.226.1 | 2 | |||
105.44 | odd | 6 | 2205.2.a.k.1.1 | 1 | |||
105.74 | odd | 6 | 315.2.j.a.46.1 | 2 | |||
105.89 | even | 6 | 2205.2.a.m.1.1 | 1 | |||
140.39 | odd | 6 | 1680.2.bg.l.1201.1 | 2 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
105.2.i.b.16.1 | ✓ | 2 | 5.4 | even | 2 | ||
105.2.i.b.46.1 | yes | 2 | 35.4 | even | 6 | ||
315.2.j.a.46.1 | 2 | 105.74 | odd | 6 | |||
315.2.j.a.226.1 | 2 | 15.14 | odd | 2 | |||
525.2.i.a.151.1 | 2 | 7.4 | even | 3 | inner | ||
525.2.i.a.226.1 | 2 | 1.1 | even | 1 | trivial | ||
525.2.r.d.424.1 | 4 | 35.18 | odd | 12 | |||
525.2.r.d.424.2 | 4 | 35.32 | odd | 12 | |||
525.2.r.d.499.1 | 4 | 5.2 | odd | 4 | |||
525.2.r.d.499.2 | 4 | 5.3 | odd | 4 | |||
735.2.a.a.1.1 | 1 | 35.19 | odd | 6 | |||
735.2.a.b.1.1 | 1 | 35.9 | even | 6 | |||
735.2.i.f.226.1 | 2 | 35.34 | odd | 2 | |||
735.2.i.f.361.1 | 2 | 35.24 | odd | 6 | |||
1680.2.bg.l.961.1 | 2 | 20.19 | odd | 2 | |||
1680.2.bg.l.1201.1 | 2 | 140.39 | odd | 6 | |||
2205.2.a.k.1.1 | 1 | 105.44 | odd | 6 | |||
2205.2.a.m.1.1 | 1 | 105.89 | even | 6 | |||
3675.2.a.o.1.1 | 1 | 7.2 | even | 3 | |||
3675.2.a.p.1.1 | 1 | 7.5 | odd | 6 |