Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [308,2,Mod(43,308)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(308, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("308.43");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 308.d (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 | 43.4 | ||
Root | of defining polynomial | ||
Character | 308.43 | ||
Dual form | 308.2.d.a.43.3 |
-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 .
−1.35077 | + | 0.418821i | −0.955141 | + | 0.296151i | |||||
1.57463i | 0.909111i | 0.890718 | + | 0.454556i | ||||||
−0.890718 | + | 0.454556i | ||||||||
1.64918 | − | 1.13146i | 0.824589 | − | 0.565732i | |||||
1.58188 | 0.707437 | 0.353719 | − | 0.935352i | ||||||
0.353719 | + | 0.935352i | ||||||||
−0.659487 | − | 2.12696i | −0.269235 | − | 0.868330i | |||||
1.00000 | 0.377964 | |||||||||
−1.75378 | + | 2.21906i | −0.620056 | + | 0.784557i | |||||
0.520549 | 0.173516 | |||||||||
−2.13676 | + | 0.662524i | −0.675703 | + | 0.209509i | |||||
3.03811 | − | 1.33037i | 0.916025 | − | 0.401121i | |||||
1.78164 | + | 2.59684i | 0.514314 | + | 0.749643i | |||||
− | 2.62307i | − | 0.727509i | −0.931495 | − | 0.363755i | ||||
0.931495 | − | 0.363755i | ||||||||
−1.35077 | + | 0.418821i | −0.361009 | + | 0.111935i | |||||
2.49087i | 0.643139i | |||||||||
1.43957 | − | 3.73197i | 0.359894 | − | 0.932993i | |||||
− | 0.750224i | − | 0.181956i | −0.995853 | − | 0.0909781i | ||||
0.995853 | − | 0.0909781i | ||||||||
−0.703144 | + | 0.218017i | −0.165733 | + | 0.0513871i | |||||
1.14137 | 0.261849 | 0.130924 | − | 0.991392i | ||||||
0.130924 | + | 0.991392i | ||||||||
2.60880 | − | 1.78984i | 0.583345 | − | 0.400220i | |||||
1.57463i | 0.343612i | |||||||||
−3.54662 | + | 3.06945i | −0.756141 | + | 0.654409i | |||||
3.83223i | 0.799075i | 0.916717 | + | 0.399537i | ||||||
−0.916717 | + | 0.399537i | ||||||||
−3.49420 | − | 2.76156i | −0.713250 | − | 0.563700i | |||||
−2.49766 | −0.499532 | |||||||||
1.09860 | + | 3.54318i | 0.215453 | + | 0.694874i | |||||
5.54355i | 1.06686i | |||||||||
1.64918 | − | 1.13146i | 0.311665 | − | 0.213827i | |||||
9.02097i | 1.67515i | 0.546321 | + | 0.837576i | ||||||
−0.546321 | + | 0.837576i | ||||||||
−1.04323 | − | 3.36460i | −0.190467 | − | 0.614289i | |||||
− | 4.41685i | − | 0.793290i | −0.917972 | − | 0.396645i | ||||
0.917972 | − | 0.396645i | ||||||||
−0.381509 | + | 5.64397i | −0.0674419 | + | 0.997723i | |||||
2.09483 | + | 4.78389i | 0.364663 | + | 0.832769i | |||||
0.314210 | + | 1.01338i | 0.0538865 | + | 0.173794i | |||||
1.58188 | 0.267386 | |||||||||
0.858478 | − | 0.588983i | 0.143080 | − | 0.0981639i | |||||
−2.80558 | −0.461234 | −0.230617 | − | 0.973045i | ||||||
−0.230617 | + | 0.973045i | ||||||||
−1.54174 | + | 0.478031i | −0.250103 | + | 0.0775469i | |||||
4.13036 | 0.661387 | |||||||||
−2.77427 | + | 3.51029i | −0.438651 | + | 0.555025i | |||||
0.250697i | 0.0391523i | 0.999808 | + | 0.0195761i | ||||||
−0.999808 | + | 0.0195761i | ||||||||
−0.659487 | − | 2.12696i | −0.101761 | − | 0.328198i | |||||
1.82459 | 0.278248 | 0.139124 | − | 0.990275i | ||||||
0.139124 | + | 0.990275i | ||||||||
3.50512 | − | 5.63153i | 0.528417 | − | 0.848985i | |||||
0.823446 | 0.122752 | |||||||||
−1.60502 | − | 5.17647i | −0.236647 | − | 0.763229i | |||||
4.73143i | 0.690150i | 0.938575 | + | 0.345075i | ||||||
−0.938575 | + | 0.345075i | ||||||||
5.87647 | + | 2.26679i | 0.848195 | + | 0.327183i | |||||
1.00000 | 0.142857 | |||||||||
3.37377 | − | 1.04607i | 0.477124 | − | 0.147937i | |||||
1.18132 | 0.165418 | |||||||||
−2.96791 | − | 4.32591i | −0.411576 | − | 0.599896i | |||||
−9.11425 | −1.25194 | −0.625969 | − | 0.779848i | ||||||
−0.625969 | + | 0.779848i | ||||||||
−2.32176 | − | 7.48808i | −0.315951 | − | 1.01900i | |||||
4.80592 | − | 2.10448i | 0.648031 | − | 0.283768i | |||||
−1.75378 | + | 2.21906i | −0.234359 | + | 0.296535i | |||||
1.79724i | 0.238050i | |||||||||
−3.77817 | − | 12.1853i | −0.496098 | − | 1.60001i | |||||
− | 14.5290i | − | 1.89152i | −0.324869 | − | 0.945759i | ||||
0.324869 | − | 0.945759i | ||||||||
2.81833 | + | 4.10788i | 0.363845 | + | 0.530326i | |||||
− | 7.65849i | − | 0.980569i | −0.871562 | − | 0.490284i | ||||
0.871562 | − | 0.490284i | ||||||||
1.84987 | + | 5.96616i | 0.234934 | + | 0.757704i | |||||
0.520549 | 0.0655830 | |||||||||
−1.84848 | − | 7.78352i | −0.231060 | − | 0.972939i | |||||
− | 4.14938i | − | 0.514667i | |||||||
−4.83324 | − | 5.58460i | −0.594931 | − | 0.687416i | |||||
− | 8.00407i | − | 0.977853i | −0.872325 | − | 0.488926i | ||||
0.872325 | − | 0.488926i | ||||||||
−0.848852 | − | 1.23725i | −0.102938 | − | 0.150039i | |||||
−6.03433 | −0.726448 | |||||||||
−2.13676 | + | 0.662524i | −0.255392 | + | 0.0791868i | |||||
11.4380i | 1.35744i | 0.734398 | + | 0.678719i | ||||||
−0.734398 | + | 0.678719i | ||||||||
−0.912931 | + | 1.15513i | −0.107590 | + | 0.136134i | |||||
0.267868i | 0.0313516i | 0.999877 | + | 0.0156758i | ||||||
−0.999877 | + | 0.0156758i | ||||||||
3.78970 | − | 1.17503i | 0.440543 | − | 0.136595i | |||||
− | 3.93289i | − | 0.454130i | |||||||
1.88233 | − | 1.29142i | 0.215918 | − | 0.148136i | |||||
3.03811 | − | 1.33037i | 0.346225 | − | 0.151609i | |||||
−5.57918 | + | 1.72988i | −0.631718 | + | 0.195871i | |||||
−6.72244 | −0.756334 | −0.378167 | − | 0.925737i | ||||||
−0.378167 | + | 0.925737i | ||||||||
2.27723 | − | 5.90353i | 0.254602 | − | 0.660034i | |||||
−7.16738 | −0.796376 | |||||||||
−0.104997 | − | 0.338635i | −0.0115950 | − | 0.0373960i | |||||
1.20081 | 0.131806 | 0.0659029 | − | 0.997826i | ||||||
0.0659029 | + | 0.997826i | ||||||||
1.78164 | + | 2.59684i | 0.194392 | + | 0.283338i | |||||
− | 1.18676i | − | 0.128723i | |||||||
−2.46461 | + | 0.764178i | −0.265766 | + | 0.0824035i | |||||
−14.2047 | −1.52290 | |||||||||
−2.37602 | + | 9.07494i | −0.253285 | + | 0.967392i | |||||
10.6509 | 1.12899 | 0.564494 | − | 0.825437i | ||||||
0.564494 | + | 0.825437i | ||||||||
−1.11229 | + | 0.344876i | −0.117245 | + | 0.0363532i | |||||
− | 2.62307i | − | 0.274973i | |||||||
4.33603 | + | 6.32002i | 0.452063 | + | 0.658908i | |||||
6.95489 | 0.721189 | |||||||||
−1.98162 | − | 6.39109i | −0.204389 | − | 0.659190i | |||||
1.80551 | 0.185242 | |||||||||
−8.88716 | − | 0.600735i | −0.907042 | − | 0.0613122i | |||||
−12.3457 | −1.25352 | −0.626758 | − | 0.779214i | ||||||
−0.626758 | + | 0.779214i | ||||||||
−1.35077 | + | 0.418821i | −0.136449 | + | 0.0423073i | |||||
1.58149 | − | 0.692521i | 0.158945 | − | 0.0696010i | |||||
−4.11909 | + | 2.82602i | −0.411909 | + | 0.282602i | |||||
− | 18.5310i | − | 1.84390i | −0.387307 | − | 0.921951i | ||||
0.387307 | − | 0.921951i | ||||||||
−1.59570 | + | 0.494763i | −0.157998 | + | 0.0489889i | |||||
3.44171i | 0.339122i | 0.985520 | + | 0.169561i | ||||||
−0.985520 | + | 0.169561i | ||||||||
5.82076 | + | 4.60030i | 0.570773 | + | 0.451097i | |||||
2.49087i | 0.243084i | |||||||||
12.3113 | − | 3.81724i | 1.19578 | − | 0.370763i | |||||
−13.6088 | −1.31561 | −0.657807 | − | 0.753186i | ||||||
−0.657807 | + | 0.753186i | ||||||||
6.27234 | + | 9.14230i | 0.603556 | + | 0.879719i | |||||
− | 4.90234i | − | 0.469559i | −0.972049 | − | 0.234779i | ||||
0.972049 | − | 0.234779i | ||||||||
−5.61031 | + | 4.85550i | −0.534922 | + | 0.462953i | |||||
− | 4.41773i | − | 0.419313i | |||||||
1.43957 | − | 3.73197i | 0.136027 | − | 0.352638i | |||||
18.6980 | 1.75896 | 0.879480 | − | 0.475936i | ||||||
0.879480 | + | 0.475936i | ||||||||
−0.752721 | − | 2.42766i | −0.0704987 | − | 0.227371i | |||||
6.06212i | 0.565295i | |||||||||
10.2069 | + | 14.8772i | 0.947688 | + | 1.38131i | |||||
− | 1.36544i | − | 0.126235i | |||||||
6.08506 | + | 19.6254i | 0.560175 | + | 1.80667i | |||||
− | 0.750224i | − | 0.0687729i | |||||||
−5.52739 | − | 4.36845i | −0.504580 | − | 0.398783i | |||||
7.46025 | − | 8.08361i | 0.678204 | − | 0.734873i | |||||
3.20754 | + | 10.3449i | 0.290397 | + | 0.936582i | |||||
−0.394754 | −0.0355938 | |||||||||
−4.99751 | − | 7.28417i | −0.448790 | − | 0.654138i | |||||
−11.8604 | −1.06083 | |||||||||
−0.703144 | + | 0.218017i | −0.0626411 | + | 0.0194225i | |||||
0.249900 | 0.0221751 | 0.0110875 | − | 0.999939i | ||||||
0.0110875 | + | 0.999939i | ||||||||
5.75678 | + | 9.73958i | 0.508833 | + | 0.860866i | |||||
2.87305i | 0.252958i | |||||||||
1.73785 | + | 5.60487i | 0.152419 | + | 0.491580i | |||||
−16.9727 | −1.48292 | −0.741458 | − | 0.671000i | ||||||
−0.741458 | + | 0.671000i | ||||||||
8.86756 | + | 5.51926i | 0.771822 | + | 0.480390i | |||||
1.14137 | 0.0989696 | |||||||||
3.35227 | + | 10.8117i | 0.289592 | + | 0.933987i | |||||
8.76923i | 0.754735i | |||||||||
1.66480 | + | 1.31573i | 0.142755 | + | 0.112823i | |||||
8.45260 | 0.722155 | 0.361077 | − | 0.932536i | ||||||
0.361077 | + | 0.932536i | ||||||||
8.15101 | − | 2.52730i | 0.693860 | − | 0.215138i | |||||
10.4874 | 0.889533 | 0.444766 | − | 0.895647i | ||||||
0.444766 | + | 0.895647i | ||||||||
2.60880 | − | 1.78984i | 0.220484 | − | 0.151269i | |||||
−7.45024 | −0.627423 | |||||||||
−4.79046 | − | 15.4501i | −0.402007 | − | 1.29654i | |||||
−3.48965 | − | 7.96919i | −0.291819 | − | 0.666417i | |||||
0.749369 | − | 1.94268i | 0.0624474 | − | 0.161890i | |||||
14.2701i | 1.18506i | |||||||||
−0.112189 | − | 0.361829i | −0.00928482 | − | 0.0299452i | |||||
1.57463i | 0.129873i | |||||||||
−4.62689 | + | 3.17441i | −0.380328 | + | 0.260935i | |||||
17.5806i | 1.44026i | 0.693841 | + | 0.720128i | ||||||
−0.693841 | + | 0.720128i | ||||||||
1.64718 | + | 5.31244i | 0.134491 | + | 0.433759i | |||||
1.11949 | 0.0911028 | 0.0455514 | − | 0.998962i | ||||||
0.0455514 | + | 0.998962i | ||||||||
−2.00172 | + | 2.53278i | −0.162361 | + | 0.205435i | |||||
− | 0.390529i | − | 0.0315724i | |||||||
−3.54662 | + | 3.06945i | −0.285794 | + | 0.247343i | |||||
− | 6.98692i | − | 0.561203i | |||||||
6.81170 | − | 4.67336i | 0.545372 | − | 0.374168i | |||||
8.38807 | 0.669441 | 0.334720 | − | 0.942318i | ||||||
0.334720 | + | 0.942318i | ||||||||
9.08050 | − | 2.81550i | 0.722406 | − | 0.223989i | |||||
− | 14.3515i | − | 1.13815i | |||||||
−0.603501 | + | 8.92808i | −0.0477110 | + | 0.705827i | |||||
3.83223i | 0.302022i | |||||||||
9.68151 | − | 3.00185i | 0.760651 | − | 0.235848i | |||||
4.32454i | 0.338725i | 0.985554 | + | 0.169362i | ||||||
−0.985554 | + | 0.169362i | ||||||||
0.283655 | + | 0.413444i | 0.0221497 | + | 0.0322845i | |||||
3.31377 | + | 7.56754i | 0.257977 | + | 0.589132i | |||||
−1.62202 | + | 0.502924i | −0.125893 | + | 0.0390345i | |||||
−21.2610 | −1.64523 | −0.822614 | − | 0.568600i | ||||||
−0.822614 | + | 0.568600i | ||||||||
−3.49420 | − | 2.76156i | −0.269583 | − | 0.213059i | |||||
6.11949 | 0.470730 | |||||||||
0.497042 | + | 1.60305i | 0.0381214 | + | 0.122948i | |||||
0.594141 | 0.0454351 | |||||||||
3.00908 | − | 2.06446i | 0.229440 | − | 0.157414i | |||||
− | 2.41069i | − | 0.183282i | −0.995792 | − | 0.0916408i | ||||
0.995792 | − | 0.0916408i | ||||||||
19.1873 | − | 5.94921i | 1.45458 | − | 0.451009i | |||||
−2.49766 | −0.188805 | |||||||||
−0.591305 | − | 13.2533i | −0.0445713 | − | 0.999006i | |||||
22.8778 | 1.71960 | |||||||||
−14.3869 | + | 4.46080i | −1.07834 | + | 0.334351i | |||||
12.5187i | 0.935689i | 0.883811 | + | 0.467844i | ||||||
−0.883811 | + | 0.467844i | ||||||||
1.35801 | − | 0.931700i | 0.101220 | − | 0.0694448i | |||||
−24.6700 | −1.83371 | −0.916854 | − | 0.399223i | ||||||
−0.916854 | + | 0.399223i | ||||||||
1.09860 | + | 3.54318i | 0.0814335 | + | 0.262638i | |||||
12.0593 | 0.891446 | |||||||||
−8.50396 | − | 6.72090i | −0.626920 | − | 0.495471i | |||||
−4.43808 | −0.326294 | |||||||||
−9.39448 | + | 2.91286i | −0.688837 | + | 0.213581i | |||||
−0.998073 | − | 2.27927i | −0.0729863 | − | 0.166676i | |||||
5.35345 | + | 7.80297i | 0.390440 | + | 0.569090i | |||||
5.54355i | 0.403234i | |||||||||
−2.43884 | + | 0.756187i | −0.176932 | + | 0.0548596i | |||||
− | 11.8677i | − | 0.858720i | −0.903133 | − | 0.429360i | ||||
0.903133 | − | 0.429360i | ||||||||
12.2561 | − | 2.91067i | 0.884510 | − | 0.210060i | |||||
8.28858i | 0.596625i | 0.954468 | + | 0.298312i | ||||||
−0.954468 | + | 0.298312i | ||||||||
16.6762 | − | 5.17064i | 1.19728 | − | 0.371230i | |||||
6.53373 | 0.467890 | |||||||||
1.64918 | − | 1.13146i | 0.117798 | − | 0.0808189i | |||||
− | 19.0013i | − | 1.35379i | −0.736081 | − | 0.676893i | ||||
0.736081 | − | 0.676893i | ||||||||
−1.84619 | + | 1.59780i | −0.131203 | + | 0.113551i | |||||
16.0120i | 1.13506i | 0.823351 | + | 0.567532i | ||||||
−0.823351 | + | 0.567532i | ||||||||
4.38036 | − | 5.54247i | 0.309738 | − | 0.391912i | |||||
12.6034 | 0.888977 | |||||||||
7.76117 | + | 25.0312i | 0.546074 | + | 1.76119i | |||||
9.02097i | 0.633148i | |||||||||
1.94821 | − | 1.33663i | 0.136402 | − | 0.0935825i | |||||
0.396572i | 0.0276978i | |||||||||
−1.44146 | − | 4.64897i | −0.100431 | − | 0.323909i | |||||
1.99486i | 0.138653i | |||||||||
−9.78924 | − | 3.77611i | −0.678761 | − | 0.261826i | |||||
3.46762 | − | 1.51844i | 0.239860 | − | 0.105033i | |||||
−1.04323 | − | 3.36460i | −0.0719896 | − | 0.232179i | |||||
0.980150 | 0.0674763 | 0.0337381 | − | 0.999431i | ||||||
0.0337381 | + | 0.999431i | ||||||||
−15.0310 | + | 10.3125i | −1.03233 | + | 0.708262i | |||||
−18.0105 | −1.23406 | |||||||||
18.3824 | − | 5.69966i | 1.25660 | − | 0.389621i | |||||
2.88628 | 0.196843 | |||||||||
−12.3015 | − | 9.72219i | −0.837011 | − | 0.661511i | |||||
− | 4.41685i | − | 0.299835i | |||||||
2.05320 | + | 6.62195i | 0.139060 | + | 0.448495i | |||||
−0.421793 | −0.0285021 | |||||||||
5.54468 | − | 8.90839i | 0.373822 | − | 0.600604i | |||||
−1.96789 | −0.132375 | |||||||||
1.85024 | + | 5.96736i | 0.124180 | + | 0.400503i | |||||
− | 7.90537i | − | 0.529383i | −0.964333 | − | 0.264691i | ||||
0.964333 | − | 0.264691i | ||||||||
−0.381509 | + | 5.64397i | −0.0254907 | + | 0.377104i | |||||
−1.30016 | −0.0866770 | |||||||||
−25.2568 | + | 7.83112i | −1.68005 | + | 0.520918i | |||||
−8.91322 | −0.591591 | −0.295796 | − | 0.955251i | ||||||
−0.295796 | + | 0.955251i | ||||||||
2.03351 | + | 2.96396i | 0.134672 | + | 0.196293i | |||||
−20.0551 | −1.32528 | −0.662639 | − | 0.748939i | ||||||
−0.662639 | + | 0.748939i | ||||||||
−2.53894 | − | 8.18855i | −0.167413 | − | 0.539937i | |||||
2.09483 | + | 4.78389i | 0.137830 | + | 0.314757i | |||||
−20.0181 | − | 15.8208i | −1.31425 | − | 1.03869i | |||||
7.48274i | 0.490210i | 0.969496 | + | 0.245105i | ||||||
−0.969496 | + | 0.245105i | ||||||||
0.571874 | + | 1.84440i | 0.0373846 | + | 0.120572i | |||||
7.48454i | 0.488238i | |||||||||
−16.4391 | − | 23.9609i | −1.07009 | − | 1.55972i | |||||
− | 10.5853i | − | 0.687592i | |||||||
0.314210 | + | 1.01338i | 0.0203672 | + | 0.0656879i | |||||
−14.2237 | −0.920057 | −0.460029 | − | 0.887904i | ||||||
−0.460029 | + | 0.887904i | ||||||||
9.29586 | + | 3.58579i | 0.600045 | + | 0.231462i | |||||
− | 13.7418i | − | 0.885184i | −0.896723 | − | 0.442592i | ||||
0.896723 | − | 0.442592i | ||||||||
−6.69152 | + | 14.0436i | −0.430147 | + | 0.902759i | |||||
5.34471i | 0.342863i | |||||||||
−8.66531 | − | 12.6302i | −0.554740 | − | 0.808566i | |||||
1.58188 | 0.101062 | |||||||||
0.533224 | − | 0.165331i | 0.0339971 | − | 0.0105411i | |||||
− | 2.99390i | − | 0.190498i | |||||||
9.80127 | + | 7.74620i | 0.622381 | + | 0.491884i | |||||
1.89083i | 0.119826i | |||||||||
16.0207 | − | 4.96738i | 1.01324 | − | 0.314165i | |||||
− | 23.6620i | − | 1.49353i | −0.665086 | − | 0.746767i | ||||
0.665086 | − | 0.746767i | ||||||||
0.858478 | − | 0.588983i | 0.0540790 | − | 0.0371025i | |||||
5.09827 | + | 11.6427i | 0.320525 | + | 0.731973i | |||||
−0.337559 | + | 0.104664i | −0.0211803 | + | 0.00656718i | |||||
1.86871 | 0.117023 | |||||||||
−11.8553 | − | 10.7449i | −0.740953 | − | 0.671557i | |||||
13.6739 | 0.852952 | 0.426476 | − | 0.904499i | ||||||
0.426476 | + | 0.904499i | ||||||||
−1.20330 | − | 3.88085i | −0.0749139 | − | 0.241611i | |||||
−2.80558 | −0.174330 | |||||||||
−4.69488 | − | 6.84307i | −0.291164 | − | 0.424389i | |||||
4.69586i | 0.290666i | |||||||||
22.9263 | − | 7.10854i | 1.41639 | − | 0.439167i | |||||
−1.54709 | −0.0953978 | −0.0476989 | − | 0.998862i | ||||||
−0.0476989 | + | 0.998862i | ||||||||
−14.2896 | − | 3.74135i | −0.879467 | − | 0.230264i | |||||
−14.4176 | −0.885668 | |||||||||
−1.54174 | + | 0.478031i | −0.0945299 | + | 0.0293100i | |||||
16.7711i | 1.02638i | |||||||||
−9.05632 | − | 13.2001i | −0.553203 | − | 0.806326i | |||||
−11.1137 | −0.677617 | −0.338808 | − | 0.940855i | ||||||
−0.338808 | + | 0.940855i | ||||||||
−3.67274 | − | 11.8452i | −0.223516 | − | 0.720878i | |||||
12.4657 | 0.757235 | 0.378617 | − | 0.925553i | ||||||
0.378617 | + | 0.925553i | ||||||||
−2.79982 | − | 1.08000i | −0.169764 | − | 0.0654848i | |||||
4.13036 | 0.249981 | |||||||||
−11.4176 | + | 3.54013i | −0.689760 | + | 0.213867i | |||||
−7.58817 | + | 3.32281i | −0.457584 | + | 0.200373i | |||||
−9.95168 | + | 6.82763i | −0.599021 | + | 0.410975i | |||||
− | 21.0155i | − | 1.26270i | −0.775498 | − | 0.631350i | ||||
0.775498 | − | 0.631350i | ||||||||
−14.1662 | + | 4.39236i | −0.849629 | + | 0.263436i | |||||
− | 2.29919i | − | 0.137649i | |||||||
−2.77427 | + | 3.51029i | −0.165795 | + | 0.209780i | |||||
17.7260i | 1.05744i | 0.848795 | + | 0.528721i | ||||||
−0.848795 | + | 0.528721i | ||||||||
10.0636 | − | 3.12032i | 0.599278 | − | 0.185812i | |||||
32.9128 | 1.95646 | 0.978232 | − | 0.207513i | ||||||
0.978232 | + | 0.207513i | ||||||||
12.9417 | + | 18.8632i | 0.767946 | + | 1.11933i | |||||
2.84301i | 0.168405i | |||||||||
8.05139 | + | 9.30303i | 0.476089 | + | 0.550100i | |||||
0.250697i | 0.0147982i | |||||||||
−0.198594 | + | 2.93797i | −0.0117023 | + | 0.173121i | |||||
16.4372 | 0.966892 | |||||||||
−5.97661 | − | 19.2756i | −0.350958 | − | 1.13190i | |||||
− | 19.4399i | − | 1.13958i | |||||||
0.303084 | + | 0.441762i | 0.0177366 | + | 0.0258522i | |||||
− | 29.4803i | − | 1.72226i | −0.508386 | − | 0.861130i | ||||
0.508386 | − | 0.861130i | ||||||||
−0.659487 | − | 2.12696i | −0.0384621 | − | 0.124047i | |||||
− | 22.9831i | − | 1.33813i | |||||||
4.92037 | − | 6.22575i | 0.285991 | − | 0.361864i | |||||
7.37496 | + | 16.8419i | 0.427938 | + | 0.977268i | |||||
−7.36311 | − | 23.7474i | −0.426534 | − | 1.37565i | |||||
10.0522 | 0.581334 | |||||||||
−4.44992 | − | 6.48603i | −0.256916 | − | 0.374471i | |||||
1.82459 | 0.105168 | |||||||||
−1.51218 | + | 0.468866i | −0.0870160 | + | 0.0269802i | |||||
29.1794 | 1.67631 | |||||||||
1.64309 | − | 4.25957i | 0.0942377 | − | 0.244303i | |||||
− | 12.1148i | − | 0.693691i | |||||||
0.163562 | + | 0.527516i | 0.00935020 | + | 0.0301561i | |||||
22.5952 | 1.28958 | 0.644789 | − | 0.764361i | ||||||
0.644789 | + | 0.764361i | ||||||||
3.50512 | − | 5.63153i | 0.199723 | − | 0.320886i | |||||
−5.41941 | −0.308299 | |||||||||
2.92627 | + | 9.43774i | 0.166201 | + | 0.536028i | |||||
− | 8.11720i | − | 0.460284i | −0.973157 | − | 0.230142i | ||||
0.973157 | − | 0.230142i | ||||||||
−7.24376 | + | 9.16553i | −0.410097 | + | 0.518896i | |||||
−22.3289 | −1.26210 | −0.631052 | − | 0.775741i | ||||||
−0.631052 | + | 0.775741i | ||||||||
−11.3304 | + | 3.51310i | −0.639410 | + | 0.198256i | |||||
0.823446 | 0.0463959 | |||||||||
−11.0865 | + | 7.60621i | −0.623665 | + | 0.427883i | |||||
−4.24834 | −0.238611 | −0.119305 | − | 0.992858i | ||||||
−0.119305 | + | 0.992858i | ||||||||
6.01073 | + | 19.3857i | 0.337065 | + | 1.08710i | |||||
12.0012 | + | 27.4067i | 0.671938 | + | 1.53448i | |||||
−2.92408 | − | 12.3126i | −0.163461 | − | 0.688294i | |||||
− | 21.4288i | − | 1.19604i | |||||||
−1.60502 | − | 5.17647i | −0.0894442 | − | 0.288473i | |||||
− | 0.856286i | − | 0.0476450i | |||||||
−11.8203 | + | 8.10964i | −0.656682 | + | 0.450536i | |||||
6.55155i | 0.363414i | |||||||||
−1.81121 | − | 5.84148i | −0.100314 | − | 0.323530i | |||||
7.71935 | 0.426881 | |||||||||
−0.556313 | − | 0.439668i | −0.0307172 | − | 0.0242766i | |||||
4.73143i | 0.260852i | |||||||||
−7.64559 | − | 8.83415i | −0.420876 | − | 0.486304i | |||||
− | 0.144143i | − | 0.00792284i | −0.999992 | − | 0.00396142i | ||||
0.999992 | − | 0.00396142i | ||||||||
1.98035 | − | 1.35867i | 0.108686 | − | 0.0745669i | |||||
−1.46044 | −0.0800316 | |||||||||
28.7188 | − | 8.90457i | 1.57142 | − | 0.487236i | |||||
− | 12.6615i | − | 0.691770i | |||||||
5.87647 | + | 2.26679i | 0.320588 | + | 0.123664i | |||||
28.5950i | 1.55767i | 0.627230 | + | 0.778834i | ||||||
−0.627230 | + | 0.778834i | ||||||||
−8.26604 | + | 2.56297i | −0.449614 | + | 0.139407i | |||||
29.4424i | 1.59909i | |||||||||
−1.34278 | − | 1.95718i | −0.0728225 | − | 0.106143i | |||||
−5.87603 | − | 13.4189i | −0.318205 | − | 0.726673i | |||||
−0.802549 | + | 0.248839i | −0.0433969 | + | 0.0134557i | |||||
1.00000 | 0.0539949 | |||||||||
−3.19994 | + | 4.04889i | −0.172529 | + | 0.218301i | |||||
−9.54558 | −0.513917 | |||||||||
1.00965 | + | 3.25630i | 0.0542791 | + | 0.175060i | |||||
−23.0033 | −1.23488 | −0.617442 | − | 0.786616i | ||||||
−0.617442 | + | 0.786616i | ||||||||
−23.4260 | + | 16.0721i | −1.25577 | + | 0.861554i | |||||
23.7790i | 1.27286i | 0.771334 | + | 0.636430i | ||||||
−0.771334 | + | 0.636430i | ||||||||
3.37377 | − | 1.04607i | 0.180336 | − | 0.0559150i | |||||
14.5411 | 0.776149 | |||||||||
6.34949 | + | 17.6546i | 0.338429 | + | 0.940992i | |||||
−1.29117 | −0.0687220 | −0.0343610 | − | 0.999409i | ||||||
−0.0343610 | + | 0.999409i | ||||||||
−30.9027 | + | 9.58170i | −1.64246 | + | 0.509262i | |||||
18.0935i | 0.960302i | |||||||||
17.5652 | − | 12.0511i | 0.930951 | − | 0.638705i | |||||
1.18132 | 0.0625223 | |||||||||
−5.24308 | − | 16.9099i | −0.277105 | − | 0.893715i | |||||
25.2115 | 1.33061 | 0.665306 | − | 0.746571i | ||||||
0.665306 | + | 0.746571i | ||||||||
−1.44415 | + | 1.82728i | −0.0761132 | + | 0.0963060i | |||||
−17.6973 | −0.931435 | |||||||||
33.3236 | − | 10.3323i | 1.75145 | − | 0.543055i | |||||
12.7287 | + | 11.7471i | 0.668082 | + | 0.616563i | |||||
−2.96791 | − | 4.32591i | −0.155561 | − | 0.226739i | |||||
0.423735i | 0.0221793i | |||||||||
−16.2893 | + | 5.05067i | −0.851457 | + | 0.264003i | |||||
1.10279i | 0.0575651i | 0.999586 | + | 0.0287825i | ||||||
−0.999586 | + | 0.0287825i | ||||||||
14.3018 | + | 5.51678i | 0.745531 | + | 0.287582i | |||||
0.130500i | 0.00679357i | |||||||||
5.99484 | − | 1.85876i | 0.311657 | − | 0.0966324i | |||||
−9.11425 | −0.473188 | |||||||||
11.4699 | − | 7.86922i | 0.594684 | − | 0.408000i | |||||
19.1952i | 0.993888i | 0.867783 | + | 0.496944i | ||||||
−0.867783 | + | 0.496944i | ||||||||
2.30278 | + | 2.66076i | 0.119074 | + | 0.137584i | |||||
− | 18.6757i | − | 0.964408i | |||||||
−10.4993 | − | 8.29790i | −0.541462 | − | 0.427932i | |||||
23.6627 | 1.21869 | |||||||||
−2.32176 | − | 7.48808i | −0.119418 | − | 0.385145i | |||||
− | 7.61066i | − | 0.390933i | −0.980710 | − | 0.195467i | ||||
0.980710 | − | 0.195467i | ||||||||
2.97761 | − | 2.04287i | 0.152748 | − | 0.104797i | |||||
0.393500i | 0.0201596i | |||||||||
4.97046 | + | 16.0306i | 0.254311 | + | 0.820199i | |||||
22.0885i | 1.12867i | 0.825546 | + | 0.564335i | ||||||
−0.825546 | + | 0.564335i | ||||||||
−15.3362 | + | 9.06479i | −0.782623 | + | 0.462585i | |||||
4.80592 | − | 2.10448i | 0.244933 | − | 0.107254i | |||||
−3.47143 | − | 11.1960i | −0.176691 | − | 0.569861i | |||||
0.949791 | 0.0482806 | |||||||||
−20.3602 | + | 13.9687i | −1.03363 | + | 0.709154i | |||||
−27.1911 | −1.37865 | −0.689323 | − | 0.724454i | ||||||
−0.689323 | + | 0.724454i | ||||||||
−8.82559 | + | 2.73646i | −0.446901 | + | 0.138566i | |||||
2.87503 | 0.145397 | |||||||||
−1.75378 | + | 2.21906i | −0.0885795 | + | 0.112080i | |||||
− | 26.7257i | − | 1.34814i | |||||||
7.95814 | + | 25.6664i | 0.400925 | + | 1.29306i | |||||
−10.6341 | −0.535059 | |||||||||
1.82459 | − | 2.93149i | 0.0916891 | − | 0.147313i | |||||
13.6761 | 0.686383 | 0.343192 | − | 0.939265i | ||||||
0.343192 | + | 0.939265i | ||||||||
−6.70618 | − | 21.6286i | −0.336151 | − | 1.08415i | |||||
1.79724i | 0.0899744i | |||||||||
−3.59557 | + | 9.32121i | −0.179778 | + | 0.466060i | |||||
3.77907 | 0.188718 | 0.0943588 | − | 0.995538i | ||||||
0.0943588 | + | 0.995538i | ||||||||
−17.0244 | + | 5.27858i | −0.849098 | + | 0.263272i | |||||
−11.5857 | −0.577126 | |||||||||
−20.9672 | − | 30.5609i | −1.04315 | − | 1.52046i | |||||
−11.3379 | −0.563386 | |||||||||
−3.77817 | − | 12.1853i | −0.187508 | − | 0.604745i | |||||
−8.52365 | + | 3.73244i | −0.422502 | + | 0.185010i | |||||
−2.07179 | + | 2.62143i | −0.102569 | + | 0.129780i | |||||
28.8350i | 1.42580i | 0.701267 | + | 0.712899i | ||||||
−0.701267 | + | 0.712899i | ||||||||
−0.166093 | − | 0.535679i | −0.00820274 | − | 0.0264553i | |||||
13.3097i | 0.656519i | |||||||||
3.89417 | + | 5.67599i | 0.191852 | + | 0.279636i | |||||
− | 14.5290i | − | 0.714927i | |||||||
−0.835491 | − | 2.69461i | −0.0410621 | − | 0.132433i | |||||
1.89953 | 0.0932444 | |||||||||
14.8046 | + | 1.00073i | 0.725853 | + | 0.0490646i | |||||
16.5138i | 0.808684i | |||||||||
−4.04801 | + | 3.50339i | −0.197995 | + | 0.171356i | |||||
20.7473i | 1.01357i | 0.862072 | + | 0.506786i | ||||||
−0.862072 | + | 0.506786i | ||||||||
2.81833 | + | 4.10788i | 0.137520 | + | 0.200444i | |||||
22.2373 | 1.08378 | 0.541890 | − | 0.840449i | ||||||
0.541890 | + | 0.840449i | ||||||||
−1.32396 | + | 0.410507i | −0.0644494 | + | 0.0199832i | |||||
2.46294i | 0.119752i | |||||||||
15.9844 | − | 20.2251i | 0.776272 | − | 0.982217i | |||||
1.87381i | 0.0908929i | |||||||||
24.3282 | − | 7.54319i | 1.17870 | − | 0.365469i | |||||
− | 7.65849i | − | 0.370620i | |||||||
−22.4434 | + | 15.3979i | −1.08484 | + | 0.744286i | |||||
12.5485 | − | 5.49489i | 0.605847 | − | 0.265296i | |||||
−3.89872 | + | 1.20884i | −0.188013 | + | 0.0582953i | |||||
−12.3696 | −0.595823 | −0.297912 | − | 0.954593i | ||||||
−0.297912 | + | 0.954593i | ||||||||
20.6884 | + | 7.98036i | 0.995371 | + | 0.383955i | |||||
14.3230 | 0.688318 | 0.344159 | − | 0.938911i | ||||||
0.344159 | + | 0.938911i | ||||||||
1.84987 | + | 5.96616i | 0.0887966 | + | 0.286385i | |||||
−22.4700 | −1.07736 | |||||||||
−5.54682 | − | 8.08483i | −0.265645 | − | 0.387193i | |||||
4.37400i | 0.209237i | |||||||||
0.569746 | − | 0.176656i | 0.0272235 | − | 0.00844093i | |||||
−6.33190 | −0.302205 | −0.151103 | − | 0.988518i | ||||||
−0.151103 | + | 0.988518i | ||||||||
−3.75858 | + | 14.3554i | −0.179183 | + | 0.684369i | |||||
0.520549 | 0.0247881 | |||||||||
2.65818 | − | 0.824195i | 0.126437 | − | 0.0392030i | |||||
− | 25.6345i | − | 1.21793i | −0.793197 | − | 0.608965i | ||||
0.793197 | − | 0.608965i | ||||||||
−4.99851 | − | 7.28563i | −0.237219 | − | 0.345761i | |||||
16.8484 | 0.798689 | |||||||||
3.31093 | + | 10.6784i | 0.156777 | + | 0.505635i | |||||
−27.6828 | −1.30935 | |||||||||
−1.84848 | − | 7.78352i | −0.0873326 | − | 0.367737i | |||||
4.53508 | 0.214024 | 0.107012 | − | 0.994258i | ||||||
0.107012 | + | 0.994258i | ||||||||
1.75622 | − | 0.544533i | 0.0827888 | − | 0.0256695i | |||||
0.333519 | + | 0.761646i | 0.0157048 | + | 0.0358645i | |||||
30.8363 | − | 21.1561i | 1.45042 | − | 0.995101i | |||||
1.76278i | 0.0828226i | |||||||||
12.0397 | − | 3.73304i | 0.565053 | − | 0.175200i | |||||
− | 4.14938i | − | 0.194526i | |||||||
−3.98818 | − | 3.15196i | −0.186764 | − | 0.147604i | |||||
− | 17.6778i | − | 0.826932i | −0.910520 | − | 0.413466i | ||||
0.910520 | − | 0.413466i | ||||||||
27.0899 | − | 8.39949i | 1.26583 | − | 0.392483i | |||||
4.15891 | 0.194121 | |||||||||
6.85907 | + | 9.99751i | 0.319806 | + | 0.466136i | |||||
33.9977i | 1.58343i | 0.610890 | + | 0.791716i | ||||||
−0.610890 | + | 0.791716i | ||||||||
−4.83324 | − | 5.58460i | −0.224863 | − | 0.259819i | |||||
2.00783i | 0.0933117i | 0.998911 | + | 0.0466559i | ||||||
−0.998911 | + | 0.0466559i | ||||||||
33.6660 | + | 12.9864i | 1.56291 | + | 0.602876i | |||||
11.0018 | 0.510196 | |||||||||
−3.13393 | − | 10.1075i | −0.145176 | − | 0.468220i | |||||
− | 28.6605i | − | 1.32625i | −0.748508 | − | 0.663125i | ||||
0.748508 | − | 0.663125i | ||||||||
−1.54495 | − | 2.25185i | −0.0714151 | − | 0.104092i | |||||
− | 8.00407i | − | 0.369594i | |||||||
−3.13469 | − | 10.1099i | −0.144592 | − | 0.466336i | |||||
13.2081i | 0.608596i | |||||||||
32.2408 | + | 25.4808i | 1.48400 | + | 1.17285i | |||||
5.54332 | − | 2.42738i | 0.254882 | − | 0.111611i | |||||
4.43336 | + | 14.2984i | 0.203631 | + | 0.656747i | |||||
−2.85076 | −0.130802 | |||||||||
−0.848852 | − | 1.23725i | −0.0389071 | − | 0.0567094i | |||||
−4.74441 | −0.217232 | |||||||||
19.2131 | − | 5.95720i | 0.878785 | − | 0.272476i | |||||
19.7590 | 0.902811 | 0.451405 | − | 0.892319i | ||||||
0.451405 | + | 0.892319i | ||||||||
−14.0584 | − | 0.950289i | −0.641675 | − | 0.0433746i | |||||
7.35923i | 0.335552i | |||||||||
5.75534 | + | 18.5620i | 0.262149 | + | 0.845476i | |||||
−6.03433 | −0.274572 | |||||||||
3.15696 | − | 21.7723i | 0.143498 | − | 0.989651i | |||||
−19.5294 | −0.886784 | |||||||||
−2.23848 | − | 7.21949i | −0.101539 | − | 0.327483i | |||||
− | 15.3754i | − | 0.696727i | −0.937359 | − | 0.348364i | ||||
0.937359 | − | 0.348364i | ||||||||
16.9947 | + | 13.4313i | 0.769313 | + | 0.608008i | |||||
−6.80955 | −0.307938 | |||||||||
−2.13676 | + | 0.662524i | −0.0965289 | + | 0.0299298i | |||||
−11.0024 | −0.496532 | −0.248266 | − | 0.968692i | ||||||
−0.248266 | + | 0.968692i | ||||||||
−0.651020 | + | 0.446651i | −0.0293502 | + | 0.0201366i | |||||
6.76775 | 0.304804 | |||||||||
1.25391 | + | 4.04409i | 0.0564161 | + | 0.181952i | |||||
2.50172 | − | 1.09548i | 0.112444 | − | 0.0492384i | |||||
−16.4836 | − | 6.35838i | −0.740134 | − | 0.285500i | |||||
11.4380i | 0.513063i | |||||||||
−0.791918 | − | 2.55408i | −0.0354867 | − | 0.114451i | |||||
− | 2.31056i | − | 0.103435i | −0.998662 | − | 0.0517175i | ||||
0.998662 | − | 0.0517175i | ||||||||
−19.5599 | + | 13.4196i | −0.874745 | + | 0.600143i | |||||
− | 33.4782i | − | 1.49570i | |||||||
9.91016 | + | 31.9620i | 0.442312 | + | 1.42654i | |||||
−25.2485 | −1.12578 | −0.562888 | − | 0.826533i | ||||||
−0.562888 | + | 0.826533i | ||||||||
−0.912931 | + | 1.15513i | −0.0406652 | + | 0.0514537i | |||||
− | 29.3138i | − | 1.30444i | |||||||
−11.7628 | − | 13.5914i | −0.522922 | − | 0.604213i | |||||
9.63592i | 0.427946i | |||||||||
0.412130 | − | 0.282754i | 0.0182853 | − | 0.0125452i | |||||
33.9007 | 1.50262 | 0.751310 | − | 0.659949i | ||||||
0.751310 | + | 0.659949i | ||||||||
−2.52420 | + | 0.782655i | −0.111774 | + | 0.0346566i | |||||
0.267868i | 0.0118498i | |||||||||
20.5140 | + | 9.54870i | 0.906597 | + | 0.421997i | |||||
6.32726i | 0.279355i | |||||||||
−18.4703 | + | 5.72690i | −0.814690 | + | 0.252603i | |||||
5.44437i | 0.239907i | |||||||||
3.25076 | + | 4.73818i | 0.143107 | + | 0.208587i | |||||
6.29453 | + | 14.3746i | 0.276833 | + | 0.632195i | |||||
3.78970 | − | 1.17503i | 0.166510 | − | 0.0516280i | |||||
3.79594 | 0.166623 | |||||||||
9.20774 | + | 7.27712i | 0.403786 | + | 0.319123i | |||||
−39.3095 | −1.72218 | −0.861090 | − | 0.508453i | ||||||
−0.861090 | + | 0.508453i | ||||||||
−1.96672 | − | 6.34304i | −0.0860812 | − | 0.277627i | |||||
−21.6105 | −0.944962 | −0.472481 | − | 0.881341i | ||||||
−0.472481 | + | 0.881341i | ||||||||
−27.9911 | + | 19.2041i | −1.22280 | + | 0.838933i | |||||
− | 3.93289i | − | 0.171645i | |||||||
2.08977 | − | 0.647955i | 0.0911184 | − | 0.0282522i | |||||
−3.31363 | −0.144344 | |||||||||
20.8690 | − | 0.931085i | 0.908208 | − | 0.0405203i | |||||
8.31403 | 0.361480 | |||||||||
19.4750 | − | 6.03841i | 0.845938 | − | 0.262292i | |||||
− | 7.56307i | − | 0.328209i | |||||||
1.88233 | − | 1.29142i | 0.0816092 | − | 0.0559903i | |||||
0.657596 | 0.0284837 | |||||||||
−7.02410 | − | 22.6540i | −0.303963 | − | 0.980334i | |||||
−21.5275 | −0.930715 | |||||||||
17.7615 | + | 14.0374i | 0.767181 | + | 0.606324i | |||||
−19.7122 | −0.850645 | |||||||||
15.0121 | − | 4.65467i | 0.647220 | − | 0.200677i | |||||
3.03811 | − | 1.33037i | 0.130861 | − | 0.0573029i | |||||
9.92207 | + | 14.4620i | 0.426978 | + | 0.622346i | |||||
14.4449i | 0.621036i | 0.950568 | + | 0.310518i | ||||||
−0.950568 | + | 0.310518i | ||||||||
−16.8383 | + | 5.22088i | −0.723266 | + | 0.224256i | |||||
− | 38.8461i | − | 1.66704i | |||||||
4.23425 | + | 0.286217i | 0.181542 | + | 0.0122715i | |||||
− | 7.75490i | − | 0.332183i | |||||||
−5.57918 | + | 1.72988i | −0.238767 | + | 0.0740321i | |||||
−39.5985 | −1.69311 | −0.846555 | − | 0.532301i | ||||||
−0.846555 | + | 0.532301i | ||||||||
13.9398 | − | 9.56382i | 0.595481 | − | 0.408546i | |||||
− | 3.98662i | − | 0.170145i | |||||||
8.85824 | − | 7.66644i | 0.377717 | − | 0.326898i | |||||
10.2963i | 0.438637i | |||||||||
10.5829 | − | 13.3906i | 0.450439 | − | 0.569940i | |||||
−6.72244 | −0.285867 | |||||||||
8.80174 | + | 28.3872i | 0.373950 | + | 1.20606i | |||||
− | 6.98832i | − | 0.296638i | |||||||
17.2956 | − | 11.8662i | 0.733499 | − | 0.503238i | |||||
− | 1.26393i | − | 0.0535543i | −0.999641 | − | 0.0267771i | ||||
0.999641 | − | 0.0267771i | ||||||||
0.962949 | + | 3.10568i | 0.0407649 | + | 0.131474i | |||||
− | 4.78604i | − | 0.202428i | |||||||
2.27723 | − | 5.90353i | 0.0962306 | − | 0.249470i | |||||
3.58899 | − | 1.57159i | 0.151527 | − | 0.0663527i | |||||
−7.42401 | − | 23.9438i | −0.313163 | − | 1.01001i | |||||
38.8614 | 1.63781 | 0.818906 | − | 0.573928i | ||||||
0.818906 | + | 0.573928i | ||||||||
−12.2868 | + | 8.42968i | −0.517366 | + | 0.354954i | |||||
29.5780 | 1.24435 | |||||||||
−44.4578 | + | 13.7846i | −1.86870 | + | 0.579409i | |||||
−7.16738 | −0.301002 | |||||||||
−25.3816 | − | 20.0597i | −1.06499 | − | 0.841688i | |||||
− | 21.3750i | − | 0.896085i | −0.894012 | − | 0.448042i | ||||
0.894012 | − | 0.448042i | ||||||||
−1.19071 | − | 3.84026i | −0.0498735 | − | 0.160851i | |||||
26.0093 | 1.08846 | 0.544228 | − | 0.838937i | ||||||
0.544228 | + | 0.838937i | ||||||||
−14.7719 | − | 9.19419i | −0.617644 | − | 0.384429i | |||||
18.6873 | 0.780672 | |||||||||
−0.104997 | − | 0.338635i | −0.00438250 | − | 0.0141343i | |||||
− | 9.57161i | − | 0.399164i | |||||||
−0.962227 | − | 4.05170i | −0.0400928 | − | 0.168821i | |||||
11.9433 | 0.497206 | 0.248603 | − | 0.968605i | ||||||
0.248603 | + | 0.968605i | ||||||||
−22.2029 | + | 6.88423i | −0.923518 | + | 0.286346i | |||||
−13.0514 | −0.542399 | |||||||||
16.1461 | + | 23.5339i | 0.670430 | + | 0.977191i | |||||
1.20081 | 0.0498179 | |||||||||
8.14183 | + | 26.2588i | 0.337490 | + | 1.08846i | |||||
−27.6901 | + | 12.1253i | −1.14681 | + | 0.502178i | |||||
−0.594417 | − | 0.469783i | −0.0245971 | − | 0.0194398i | |||||
− | 2.15996i | − | 0.0893032i | |||||||
12.3470 | + | 39.8212i | 0.510049 | + | 1.64500i | |||||
16.6576i | 0.687533i | 0.939055 | + | 0.343767i | ||||||
−0.939055 | + | 0.343767i | ||||||||
1.78164 | + | 2.59684i | 0.0734734 | + | 0.107092i | |||||
− | 5.04127i | − | 0.207722i | |||||||
9.62583 | + | 31.0450i | 0.396289 | + | 1.27810i | |||||
29.9200 | 1.23074 | |||||||||
−4.03883 | + | 10.4703i | −0.165995 | + | 0.430328i | |||||
25.5783i | 1.05037i | 0.850987 | + | 0.525187i | ||||||
−0.850987 | + | 0.525187i | ||||||||
−17.0157 | − | 19.6608i | −0.698161 | − | 0.806694i | |||||
− | 1.18676i | − | 0.0486526i | |||||||
19.8918 | + | 28.9935i | 0.814800 | + | 1.18762i | |||||
−25.2130 | −1.03190 | |||||||||
−13.5783 | + | 4.21008i | −0.555256 | + | 0.172163i | |||||
9.69854i | 0.396272i | 0.980175 | + | 0.198136i | ||||||
−0.980175 | + | 0.198136i | ||||||||
8.72732 | + | 6.89743i | 0.356291 | + | 0.281586i | |||||
− | 23.1097i | − | 0.942664i | −0.881956 | − | 0.471332i | ||||
0.881956 | − | 0.471332i | ||||||||
−2.46461 | + | 0.764178i | −0.100450 | + | 0.0311456i | |||||
− | 4.16651i | − | 0.169673i | |||||||
1.84624 | − | 1.26666i | 0.0751224 | − | 0.0515398i | |||||
11.8012 | − | 12.7873i | 0.479787 | − | 0.519877i | |||||
−39.4147 | + | 12.2209i | −1.60111 | + | 0.496442i | |||||
3.90145 | 0.158355 | 0.0791775 | − | 0.996861i | ||||||
0.0791775 | + | 0.996861i | ||||||||
−0.435444 | + | 6.44188i | −0.0176596 | + | 0.261253i | |||||
−14.2047 | −0.575602 | |||||||||
5.07393 | + | 16.3643i | 0.205438 | + | 0.662573i | |||||
12.4109 | 0.502090 | |||||||||
−0.441869 | − | 0.644051i | −0.0178615 | − | 0.0260342i | |||||
26.4674i | 1.06901i | 0.845165 | + | 0.534505i | ||||||
−0.845165 | + | 0.534505i | ||||||||
−30.5210 | + | 9.46336i | −1.23173 | + | 0.381910i | |||||
−0.624453 | −0.0251804 | |||||||||
−2.37602 | + | 9.07494i | −0.0957328 | + | 0.365640i | |||||
3.74920 | 0.150937 | 0.0754685 | − | 0.997148i | ||||||
0.0754685 | + | 0.997148i | ||||||||
7.32040 | − | 2.26976i | 0.294469 | − | 0.0913033i | |||||
1.06345i | 0.0427436i | 0.999772 | + | 0.0213718i | ||||||
−0.999772 | + | 0.0213718i | ||||||||
−7.90545 | − | 11.5227i | −0.317491 | − | 0.462762i | |||||
−21.2442 | −0.852499 | |||||||||
3.39966 | + | 10.9645i | 0.136314 | + | 0.439636i | |||||
10.6509 | 0.426717 | |||||||||
5.94596 | − | 15.4144i | 0.238029 | − | 0.617070i | |||||
−6.27338 | −0.250935 | |||||||||
30.1613 | − | 9.35181i | 1.20549 | − | 0.373773i | |||||
2.39098 | + | 5.46021i | 0.0954867 | + | 0.218060i | |||||
13.8334 | − | 9.49080i | 0.552013 | − | 0.378724i | |||||
2.10481i | 0.0839243i | |||||||||
−1.11229 | + | 0.344876i | −0.0443146 | + | 0.0137402i | |||||
45.3102i | 1.80377i | 0.431975 | + | 0.901885i | ||||||
−0.431975 | + | 0.901885i | ||||||||
11.7897 | − | 14.9175i | 0.468970 | − | 0.593387i | |||||
1.54337i | 0.0613435i | |||||||||
5.73855 | − | 1.77930i | 0.227907 | − | 0.0706649i | |||||
0.395312 | 0.0156875 | |||||||||
−16.2383 | − | 23.6682i | −0.643889 | − | 0.938507i | |||||
− | 2.62307i | − | 0.103930i | |||||||
−27.6894 | − | 31.9939i | −1.09623 | − | 1.26665i | |||||
5.95403i | 0.235538i | |||||||||
9.10653 | + | 15.4068i | 0.359967 | + | 0.609009i | |||||
−11.3560 | −0.448535 | −0.224268 | − | 0.974528i | ||||||
−0.224268 | + | 0.974528i | ||||||||
8.97484 | + | 28.9455i | 0.354209 | + | 1.14239i | |||||
24.4202i | 0.963040i | 0.876435 | + | 0.481520i | ||||||
−0.876435 | + | 0.481520i | ||||||||
4.33603 | + | 6.32002i | 0.170864 | + | 0.249044i | |||||
4.54482i | 0.178952i | |||||||||
0.358630 | + | 1.15665i | 0.0141101 | + | 0.0455077i | |||||
− | 41.2607i | − | 1.62213i | −0.584959 | − | 0.811063i | ||||
0.584959 | − | 0.811063i | ||||||||
12.5700 | − | 15.9049i | 0.493798 | − | 0.624802i | |||||
−19.3289 | − | 44.1408i | −0.758727 | − | 1.73268i | |||||
−2.74393 | − | 8.84965i | −0.107626 | − | 0.347112i | |||||
6.95489 | 0.272584 | |||||||||
4.89307 | + | 7.13194i | 0.191627 | + | 0.279308i | |||||
−39.0128 | −1.52669 | −0.763345 | − | 0.645991i | ||||||
−0.763345 | + | 0.645991i | ||||||||
−10.4271 | + | 3.23303i | −0.407732 | + | 0.126421i | |||||
−26.8488 | −1.04907 | |||||||||
0.935595 | + | 0.360897i | 0.0365288 | + | 0.0140907i | |||||
0.139439i | 0.00544002i | |||||||||
−1.98162 | − | 6.39109i | −0.0772517 | − | 0.249151i | |||||
19.6952 | 0.767217 | 0.383609 | − | 0.923496i | ||||||
0.383609 | + | 0.923496i | ||||||||
14.0274 | + | 8.73080i | 0.546016 | + | 0.339846i | |||||
2.52788 | 0.0983233 | 0.0491616 | − | 0.998791i | ||||||
0.0491616 | + | 0.998791i | ||||||||
0.0603703 | + | 0.194705i | 0.00234636 | + | 0.00756743i | |||||
− | 3.09870i | − | 0.120343i | |||||||
−2.10596 | + | 2.66467i | −0.0817271 | + | 0.103409i | |||||
1.80551 | 0.0700148 | |||||||||
1.97272 | − | 0.611663i | 0.0764415 | − | 0.0237015i | |||||
−34.5704 | −1.33857 | |||||||||
−35.0632 | + | 24.0561i | −1.35664 | + | 0.930759i | |||||
12.4480 | 0.481268 | |||||||||
5.30289 | + | 17.1028i | 0.204868 | + | 0.660737i | |||||
−10.1886 | − | 23.2673i | −0.393326 | − | 0.898226i | |||||
−8.88716 | − | 0.600735i | −0.342829 | − | 0.0231738i | |||||
− | 46.2104i | − | 1.78128i | −0.454708 | − | 0.890640i | ||||
0.454708 | − | 0.890640i | ||||||||
−11.9762 | − | 38.6253i | −0.461305 | − | 1.48779i | |||||
− | 13.8459i | − | 0.532930i | |||||||
10.0921 | − | 6.92399i | 0.388159 | − | 0.266307i | |||||
21.2646i | 0.817263i | 0.912699 | + | 0.408632i | ||||||
−0.912699 | + | 0.408632i | ||||||||
−12.3311 | − | 39.7700i | −0.473573 | − | 1.52736i | |||||
−12.3457 | −0.473784 | |||||||||
2.63350 | + | 2.08133i | 0.100990 | + | 0.0798152i | |||||
− | 14.0350i | − | 0.537822i | |||||||
13.5573 | + | 15.6649i | 0.519136 | + | 0.599839i | |||||
5.77734i | 0.221064i | 0.993873 | + | 0.110532i | ||||||
−0.993873 | + | 0.110532i | ||||||||
0.979844 | − | 0.672249i | 0.0374653 | − | 0.0257041i | |||||
13.3710 | 0.510879 | |||||||||
−1.35077 | + | 0.418821i | −0.0515728 | + | 0.0159907i | |||||
− | 31.5793i | − | 1.20482i | |||||||
2.62664 | − | 6.80933i | 0.100140 | − | 0.259603i | |||||
23.9073i | 0.910797i | |||||||||
12.8939 | − | 3.99789i | 0.490863 | − | 0.152197i | |||||
− | 45.1630i | − | 1.71808i | −0.511907 | − | 0.859041i | ||||
0.511907 | − | 0.859041i | ||||||||
−2.72762 | − | 3.97566i | −0.103688 | − | 0.151132i | |||||
1.58149 | − | 0.692521i | 0.0600757 | − | 0.0263067i | |||||
31.0723 | − | 9.63429i | 1.17949 | − | 0.365713i | |||||
16.5899 | 0.629289 | |||||||||
24.9119 | − | 31.5210i | 0.944283 | − | 1.19480i | |||||
0.188079 | 0.00712400 | |||||||||
−9.95914 | − | 32.1200i | −0.376959 | − | 1.21576i | |||||
−11.7825 | −0.445656 | |||||||||
−4.11909 | + | 2.82602i | −0.155687 | + | 0.106813i | |||||
4.89016i | 0.184699i | 0.995727 | + | 0.0923494i | ||||||
−0.995727 | + | 0.0923494i | ||||||||
−19.6418 | + | 6.09014i | −0.741331 | + | 0.229857i | |||||
−3.20221 | −0.120774 | |||||||||
−15.9708 | − | 21.1880i | −0.601923 | − | 0.798554i | |||||
−11.7854 | −0.443863 | |||||||||
1.74408 | − | 0.540769i | 0.0656392 | − | 0.0203521i | |||||
− | 18.5310i | − | 0.696929i | |||||||
37.7296 | − | 25.8854i | 1.41796 | − | 0.972834i | |||||
15.6950 | 0.589436 | 0.294718 | − | 0.955584i | ||||||
0.294718 | + | 0.955584i | ||||||||
−7.57793 | − | 24.4402i | −0.284395 | − | 0.917224i | |||||
−3.49936 | −0.131236 | |||||||||
−18.6793 | + | 23.6349i | −0.700036 | + | 0.885756i | |||||
16.9264 | 0.633898 | |||||||||
−1.59570 | + | 0.494763i | −0.0597176 | + | 0.0185160i | |||||
−5.52020 | − | 12.6063i | −0.206444 | − | 0.471448i | |||||
14.1644 | + | 20.6455i | 0.529349 | + | 0.771558i | |||||
− | 22.3971i | − | 0.836435i | |||||||
−34.0550 | + | 10.5591i | −1.27092 | + | 0.394062i | |||||
11.7761i | 0.439176i | 0.975593 | + | 0.219588i | ||||||
−0.975593 | + | 0.219588i | ||||||||
1.18541 | − | 3.07308i | 0.0441777 | − | 0.114527i | |||||
3.44171i | 0.128176i | |||||||||
23.9050 | − | 7.41199i | 0.889652 | − | 0.275846i | |||||
21.6381 | 0.804731 | |||||||||
−40.6852 | + | 27.9133i | −1.51206 | + | 1.03739i | |||||
− | 22.5313i | − | 0.836792i | |||||||
−22.1135 | − | 10.5367i | −0.820708 | − | 0.391052i | |||||
− | 10.6509i | − | 0.395019i | −0.980301 | − | 0.197509i | ||||
0.980301 | − | 0.197509i | ||||||||
5.82076 | + | 4.60030i | 0.215732 | + | 0.170499i | |||||
−29.9181 | −1.10808 | |||||||||
−0.177469 | − | 0.572370i | −0.00656843 | − | 0.0211844i | |||||
− | 1.36885i | − | 0.0506289i | |||||||
19.8879 | − | 13.6446i | 0.735077 | − | 0.504320i | |||||
− | 27.9850i | − | 1.03365i | −0.856091 | − | 0.516824i | ||||
0.856091 | − | 0.516824i | ||||||||
−0.461871 | − | 1.48962i | −0.0170480 | − | 0.0549828i | |||||
2.49087i | 0.0918771i | |||||||||
−21.6290 | − | 1.46203i | −0.797255 | − | 0.0538911i | |||||
−10.6483 | − | 24.3173i | −0.392237 | − | 0.895738i | |||||
−0.0546562 | − | 0.176276i | −0.00201192 | − | 0.00648881i | |||||
25.9409 | 0.954252 | 0.477126 | − | 0.878835i | ||||||
0.477126 | + | 0.878835i | ||||||||
−7.31918 | + | 5.02153i | −0.269058 | + | 0.184595i | |||||
4.71428 | 0.173183 | |||||||||
12.3113 | − | 3.81724i | 0.451961 | − | 0.140135i | |||||
12.3792 | 0.454147 | 0.227074 | − | 0.973878i | ||||||
0.227074 | + | 0.973878i | ||||||||
−12.1974 | + | 15.4333i | −0.447178 | + | 0.565814i | |||||
27.8103i | 1.01889i | |||||||||
−8.03934 | − | 25.9283i | −0.294341 | − | 0.949304i | |||||
0.625080 | 0.0228705 | |||||||||
−4.22491 | − | 2.62963i | −0.154478 | − | 0.0961487i | |||||
−13.6088 | −0.497255 | |||||||||
7.82177 | + | 25.2266i | 0.285611 | + | 0.921146i | |||||
11.2531i | 0.410632i | 0.978696 | + | 0.205316i | ||||||
−0.978696 | + | 0.205316i | ||||||||
17.6576 | + | 6.81124i | 0.643905 | + | 0.248380i | |||||
37.2589 | 1.35779 | |||||||||
−31.9629 | + | 9.91042i | −1.16402 | + | 0.360916i | |||||
1.77090 | 0.0644495 | |||||||||
6.27234 | + | 9.14230i | 0.228123 | + | 0.332502i | |||||
−23.9144 | −0.869184 | −0.434592 | − | 0.900627i | ||||||
−0.434592 | + | 0.900627i | ||||||||
3.18750 | + | 10.2803i | 0.115775 | + | 0.373396i | |||||
−18.3330 | + | 8.02787i | −0.665445 | + | 0.291393i | |||||
−3.16648 | + | 4.00655i | −0.114860 | + | 0.145333i | |||||
43.0293i | 1.55981i | 0.625897 | + | 0.779905i | ||||||
−0.625897 | + | 0.779905i | ||||||||
−0.164806 | − | 0.531529i | −0.00597029 | − | 0.0192553i | |||||
− | 4.90234i | − | 0.177477i | |||||||
−13.4279 | − | 19.5720i | −0.485806 | − | 0.708091i | |||||
− | 0.617769i | − | 0.0223355i | |||||||
−9.25114 | − | 29.8366i | −0.334257 | − | 1.07804i | |||||
−38.1107 | −1.37610 | |||||||||
16.9192 | − | 18.6676i | 0.610520 | − | 0.673609i | |||||
43.5881i | 1.57183i | 0.618337 | + | 0.785913i | ||||||
−0.618337 | + | 0.785913i | ||||||||
−5.61031 | + | 4.85550i | −0.202182 | + | 0.174980i | |||||
21.5312i | 0.775429i | |||||||||
9.37824 | + | 13.6693i | 0.337530 | + | 0.491970i | |||||
−34.7584 | −1.25017 | −0.625087 | − | 0.780555i | ||||||
−0.625087 | + | 0.780555i | ||||||||
−1.28295 | + | 0.397792i | −0.0461148 | + | 0.0142984i | |||||
11.0318i | 0.396274i | |||||||||
21.6517 | − | 27.3959i | 0.777250 | − | 0.983454i | |||||
− | 4.41773i | − | 0.158485i | |||||||
36.7291 | − | 11.3882i | 1.31680 | − | 0.408288i | |||||
0.286139i | 0.0102520i | |||||||||
10.7753 | − | 7.39269i | 0.385817 | − | 0.264701i | |||||
15.2167 | + | 34.7498i | 0.544496 | + | 1.24345i | |||||
−3.88351 | + | 1.20412i | −0.138874 | + | 0.0430594i | |||||
−50.0082 | −1.78715 | |||||||||
1.43957 | − | 3.73197i | 0.0514134 | − | 0.133285i | |||||
13.2689 | 0.473587 | |||||||||
11.1933 | + | 36.1004i | 0.399252 | + | 1.28766i | |||||
2.81410 | 0.100312 | 0.0501560 | − | 0.998741i | ||||||
0.0501560 | + | 0.998741i | ||||||||
−21.4993 | − | 31.3365i | −0.765881 | − | 1.11632i | |||||
− | 2.43609i | − | 0.0867273i | |||||||
14.3642 | − | 4.45378i | 0.511057 | − | 0.158458i | |||||
18.6980 | 0.664824 | |||||||||
−1.23684 | + | 4.72395i | −0.0439491 | + | 0.167858i | |||||
−20.0888 | −0.713373 | |||||||||
−18.4733 | + | 5.72784i | −0.655593 | + | 0.203273i | |||||
− | 22.7024i | − | 0.805171i | |||||||
18.1171 | + | 26.4067i | 0.642142 | + | 0.935961i | |||||
43.2960 | 1.53362 | 0.766811 | − | 0.641872i | ||||||
0.766811 | + | 0.641872i | ||||||||
−0.752721 | − | 2.42766i | −0.0266460 | − | 0.0859382i | |||||
3.54963 | 0.125577 | |||||||||
0.952881 | − | 14.0967i | 0.0336894 | − | 0.498395i | |||||
5.54429 | 0.195898 | |||||||||
−5.10467 | + | 1.58275i | −0.180252 | + | 0.0558890i | |||||
0.356363 | + | 0.813814i | 0.0125758 | + | 0.0287189i | |||||
20.7853 | − | 14.2603i | 0.733040 | − | 0.502923i | |||||
6.06212i | 0.213662i | |||||||||
15.6497 | − | 4.85234i | 0.551236 | − | 0.170917i | |||||
− | 17.5000i | − | 0.616029i | |||||||
41.1214 | + | 32.4993i | 1.44665 | + | 1.14332i | |||||
− | 3.65797i | − | 0.128607i | −0.997930 | − | 0.0643037i | ||||
0.997930 | − | 0.0643037i | ||||||||
15.3150 | − | 4.74856i | 0.538113 | − | 0.166847i | |||||
43.8841 | 1.54098 | 0.770489 | − | 0.637453i | ||||||
0.770489 | + | 0.637453i | ||||||||
10.2069 | + | 14.8772i | 0.358192 | + | 0.522087i | |||||
19.6288i | 0.688411i | |||||||||
9.95030 | − | 8.61157i | 0.348758 | − | 0.301835i | |||||
6.84090i | 0.239626i | |||||||||
1.70060 | − | 4.40867i | 0.0595330 | − | 0.154334i | |||||
2.08254 | 0.0728589 | |||||||||
−12.0767 | − | 38.9495i | −0.422252 | − | 1.36184i | |||||
− | 1.36544i | − | 0.0477123i | |||||||
0.448707 | + | 0.654018i | 0.0156695 | + | 0.0228393i | |||||
− | 4.70257i | − | 0.164121i | −0.996627 | − | 0.0820604i | ||||
0.996627 | − | 0.0820604i | ||||||||
−5.57438 | − | 17.9784i | −0.194429 | − | 0.627068i | |||||
27.6445i | 0.963627i | 0.876274 | + | 0.481814i | ||||||
−0.876274 | + | 0.481814i | ||||||||
−7.63737 | − | 6.03602i | −0.266060 | − | 0.210275i | |||||
−5.23218 | − | 11.9485i | −0.182161 | − | 0.415995i | |||||
6.08506 | + | 19.6254i | 0.211726 | + | 0.682856i | |||||
38.9620 | 1.35484 | 0.677422 | − | 0.735595i | ||||||
0.677422 | + | 0.735595i | ||||||||
2.25712 | + | 3.28988i | 0.0784403 | + | 0.114331i | |||||
45.2248 | 1.57072 | 0.785361 | − | 0.619038i | ||||||
0.785361 | + | 0.619038i | ||||||||
−2.56584 | + | 0.795565i | −0.0890616 | + | 0.0276145i | |||||
33.0916 | 1.14793 | |||||||||
−20.4167 | + | 4.84871i | −0.707823 | + | 0.168099i | |||||
− | 0.750224i | − | 0.0259937i | |||||||
−6.91633 | − | 22.3064i | −0.239493 | − | 0.772408i | |||||
−33.6324 | −1.16390 | |||||||||
4.00065 | − | 6.42767i | 0.138365 | − | 0.222306i | |||||
24.4850 | 0.846327 | |||||||||
−8.68940 | − | 28.0249i | −0.300170 | − | 0.968104i | |||||
49.5274i | 1.70987i | 0.518732 | + | 0.854937i | ||||||
−0.518732 | + | 0.854937i | ||||||||
−5.52739 | − | 4.36845i | −0.190713 | − | 0.150726i | |||||
−52.3778 | −1.80613 | |||||||||
−30.0376 | + | 9.31345i | −1.03516 | + | 0.320963i | |||||
−27.9118 | −0.961333 | |||||||||
1.61644 | − | 1.10901i | 0.0556402 | − | 0.0381735i | |||||
9.68029 | 0.333012 | |||||||||
−1.03153 | − | 3.32688i | −0.0354648 | − | 0.114380i | |||||
7.46025 | − | 8.08361i | 0.256337 | − | 0.277756i | |||||
−13.1206 | + | 34.0141i | −0.450565 | + | 1.16805i | |||||
51.8254i | 1.77864i | |||||||||
−0.784790 | − | 2.53109i | −0.0269181 | − | 0.0868156i | |||||
− | 10.7516i | − | 0.368560i | |||||||
−29.7026 | + | 20.3783i | −1.01759 | + | 0.698149i | |||||
6.05040i | 0.207162i | 0.994621 | + | 0.103581i | ||||||
−0.994621 | + | 0.103581i | ||||||||
3.20754 | + | 10.3449i | 0.109760 | + | 0.353995i | |||||
0.939858 | 0.0321425 | |||||||||
23.8669 | − | 30.1988i | 0.815755 | − | 1.03217i | |||||
− | 54.7756i | − | 1.87110i | −0.353198 | − | 0.935549i | ||||
0.353198 | − | 0.935549i | ||||||||
−14.6488 | + | 12.6779i | −0.500102 | + | 0.432818i | |||||
− | 13.9017i | − | 0.474318i | −0.971471 | − | 0.237159i | ||||
0.971471 | − | 0.237159i | ||||||||
4.76000 | − | 3.26573i | 0.162315 | − | 0.111360i | |||||
−0.394754 | −0.0134532 | |||||||||
16.7085 | − | 5.18065i | 0.569095 | − | 0.176454i | |||||
55.7602i | 1.89810i | 0.315128 | + | 0.949049i | ||||||
−0.315128 | + | 0.949049i | ||||||||
−31.2877 | − | 2.11492i | −1.06443 | − | 0.0719509i | |||||
− | 3.81342i | − | 0.129660i | |||||||
−19.3471 | + | 5.99876i | −0.657441 | + | 0.203846i | |||||
25.8824i | 0.879013i | |||||||||
−4.99751 | − | 7.28417i | −0.169627 | − | 0.247241i | |||||
−20.4235 | + | 8.94331i | −0.692821 | + | 0.303381i | |||||
30.3519 | − | 9.41093i | 1.02903 | − | 0.319060i | |||||
−20.9953 | −0.711397 | |||||||||
10.8786 | + | 8.59764i | 0.368396 | + | 0.291153i | |||||
−6.42654 | −0.217505 | |||||||||
−1.83192 | − | 5.90828i | −0.0619657 | − | 0.199851i | |||||
−11.8604 | −0.400954 | |||||||||
−0.695611 | + | 0.477244i | −0.0235025 | + | 0.0161246i | |||||
− | 11.2468i | − | 0.379777i | −0.981806 | − | 0.189888i | ||||
0.981806 | − | 0.189888i | ||||||||
8.55297 | − | 2.65193i | 0.288649 | − | 0.0894985i | |||||
46.4205 | 1.56573 | |||||||||
−0.935373 | − | 20.9651i | −0.0315314 | − | 0.706734i | |||||
15.3650 | 0.517662 | 0.258831 | − | 0.965923i | ||||||
0.258831 | + | 0.965923i | ||||||||
−0.703144 | + | 0.218017i | −0.0236761 | + | 0.00734102i | |||||
− | 20.8359i | − | 0.701183i | −0.936528 | − | 0.350592i | ||||
0.936528 | − | 0.350592i | ||||||||
−3.24540 | + | 2.22660i | −0.109155 | + | 0.0748887i | |||||
36.1899 | 1.21651 | |||||||||
10.7363 | + | 34.6264i | 0.360692 | + | 1.16330i | |||||
14.5362 | 0.488079 | 0.244039 | − | 0.969765i | ||||||
0.244039 | + | 0.969765i | ||||||||
9.80323 | + | 7.74775i | 0.328975 | + | 0.259998i | |||||
0.249900 | 0.00838139 | |||||||||
−22.7583 | + | 7.05645i | −0.762860 | + | 0.236533i | |||||
−21.7753 | + | 9.53524i | −0.729500 | + | 0.319443i | |||||
−8.94465 | − | 13.0374i | −0.299489 | − | 0.436523i | |||||
5.40032i | 0.180715i | |||||||||
37.3932 | − | 11.5942i | 1.25062 | − | 0.387767i | |||||
19.8030i | 0.661941i | |||||||||
5.75678 | + | 9.73958i | 0.192321 | + | 0.325377i | |||||
15.8285i | 0.528498i | |||||||||
−6.12586 | + | 1.89939i | −0.204423 | + | 0.0633834i | |||||
39.8443 | 1.32888 | |||||||||
−2.14419 | + | 1.47108i | −0.0714729 | + | 0.0490360i | |||||
6.83773i | 0.227798i | |||||||||
−0.769502 | − | 0.889126i | −0.0256216 | − | 0.0296047i | |||||
2.87305i | 0.0956093i | |||||||||
−32.7923 | + | 41.4920i | −1.09065 | + | 1.38000i | |||||
−39.0250 | −1.29723 | |||||||||
−0.738289 | − | 2.38112i | −0.0245280 | − | 0.0791073i | |||||
53.5839i | 1.77922i | 0.456718 | + | 0.889611i | ||||||
−0.456718 | + | 0.889611i | ||||||||
−14.6995 | + | 10.0850i | −0.487819 | + | 0.334682i | |||||
− | 9.64629i | − | 0.319947i | |||||||
1.73785 | + | 5.60487i | 0.0576091 | + | 0.185800i | |||||
31.4308i | 1.04135i | 0.853755 | + | 0.520675i | ||||||
−0.853755 | + | 0.520675i | ||||||||
6.70724 | + | 2.58726i | 0.222099 | + | 0.0856726i | |||||
3.64819 | − | 1.59752i | 0.120738 | − | 0.0528701i | |||||
7.40383 | + | 23.8787i | 0.244897 | + | 0.789837i | |||||
19.0763 | 0.630643 | |||||||||
−33.0744 | + | 22.6916i | −1.09281 | + | 0.749752i | |||||
−16.9727 | −0.560489 | |||||||||
−5.61774 | + | 1.74184i | −0.185413 | + | 0.0574892i | |||||
40.2618 | 1.32811 | 0.664057 | − | 0.747682i | ||||||
0.664057 | + | 0.747682i | ||||||||
−13.4522 | − | 10.6316i | −0.443507 | − | 0.350515i | |||||
35.5791i | 1.17237i | |||||||||
−14.2390 | − | 45.9232i | −0.468935 | − | 1.51240i | |||||
30.0026 | 0.987549 | |||||||||
8.86756 | + | 5.51926i | 0.291721 | + | 0.181570i | |||||
7.00738 | 0.230401 | |||||||||
−0.840921 | − | 2.71212i | −0.0276344 | − | 0.0891258i | |||||
1.79158i | 0.0588432i | |||||||||
−50.9141 | − | 3.44158i | −1.67134 | − | 0.112975i | |||||
−7.61834 | −0.249950 | −0.124975 | − | 0.992160i | ||||||
−0.124975 | + | 0.992160i | ||||||||
−14.8609 | + | 4.60778i | −0.487309 | + | 0.151095i | |||||
1.14137 | 0.0374070 | |||||||||
8.46646 | + | 12.3404i | 0.277328 | + | 0.404222i | |||||
12.7816 | 0.418450 | |||||||||
12.0036 | + | 38.7139i | 0.392771 | + | 1.26676i | |||||
−1.57883 | − | 3.60552i | −0.0516333 | − | 0.117913i | |||||
3.02999 | + | 2.39468i | 0.0990385 | + | 0.0782727i | |||||
2.79736i | 0.0913858i | 0.998956 | + | 0.0456929i | ||||||
−0.998956 | + | 0.0456929i | ||||||||
3.35227 | + | 10.8117i | 0.109456 | + | 0.353014i | |||||
− | 35.1597i | − | 1.14739i | |||||||
8.46850 | + | 12.3433i | 0.276212 | + | 0.402595i | |||||
32.7923i | 1.06900i | 0.845169 | + | 0.534499i | ||||||
−0.845169 | + | 0.534499i | ||||||||
−5.53182 | − | 17.8411i | −0.180236 | − | 0.581295i | |||||
−0.960728 | −0.0312856 | |||||||||
−54.2219 | − | 20.9156i | −1.76477 | − | 0.680745i | |||||
8.76923i | 0.285263i | |||||||||
−6.47113 | + | 5.60050i | −0.210395 | + | 0.182088i | |||||
− | 7.15816i | − | 0.232609i | −0.993214 | − | 0.116305i | ||||
0.993214 | − | 0.116305i | ||||||||
−11.9769 | − | 17.4571i | −0.388993 | − | 0.566981i | |||||
0.702638 | 0.0228086 | |||||||||
3.85073 | − | 1.19396i | 0.124934 | − | 0.0387372i | |||||
− | 6.68956i | − | 0.216924i | |||||||
1.66480 | + | 1.31573i | 0.0539563 | + | 0.0426431i | |||||
38.2832i | 1.24011i | 0.784557 | + | 0.620057i | ||||||
−0.784557 | + | 0.620057i | ||||||||
6.40863 | − | 1.98706i | 0.207487 | − | 0.0643335i | |||||
− | 18.7733i | − | 0.607491i | |||||||
−23.4575 | + | 16.0937i | −0.758669 | + | 0.520506i | |||||
−43.1553 | + | 18.8974i | −1.39501 | + | 0.610866i | |||||
−26.6899 | + | 8.27548i | −0.862312 | + | 0.267369i | |||||
8.45260 | 0.272949 | |||||||||
19.3877 | − | 4.60433i | 0.625736 | − | 0.148604i | |||||
11.4914 | 0.370691 | |||||||||
−3.08220 | − | 9.94065i | −0.0993741 | − | 0.320499i | |||||
−7.08406 | −0.228281 | |||||||||
−15.5483 | − | 22.6626i | −0.500778 | − | 0.729913i | |||||
13.1115i | 0.422075i | |||||||||
8.15101 | − | 2.52730i | 0.262255 | − | 0.0813147i | |||||
60.3137 | 1.93956 | 0.969778 | − | 0.243988i | ||||||
0.969778 | + | 0.243988i | ||||||||
4.85437 | + | 30.7317i | 0.156025 | + | 0.987753i | |||||
1.34833 | 0.0433146 | |||||||||
26.3798 | − | 8.17932i | 0.847003 | − | 0.262622i | |||||
7.52865i | 0.241606i | 0.992676 | + | 0.120803i | ||||||
−0.992676 | + | 0.120803i | ||||||||
6.04735 | + | 8.81437i | 0.193969 | + | 0.282721i | |||||
10.4874 | 0.336212 | |||||||||
6.43955 | + | 20.7687i | 0.206337 | + | 0.665473i | |||||
−10.3162 | −0.330384 | |||||||||
−28.5813 | − | 11.0250i | −0.914864 | − | 0.352900i | |||||
36.8738 | 1.17970 | 0.589849 | − | 0.807513i | ||||||
0.589849 | + | 0.807513i | ||||||||
9.19815 | − | 2.85198i | 0.294125 | − | 0.0911963i | |||||
32.3585 | − | 14.1695i | 1.03418 | − | 0.452861i | |||||
2.60880 | − | 1.78984i | 0.0833350 | − | 0.0571743i | |||||
− | 2.55191i | − | 0.0814762i | |||||||
14.8618 | − | 4.60805i | 0.474258 | − | 0.147049i | |||||
5.97352i | 0.190526i | 0.995452 | + | 0.0952628i | ||||||
−0.995452 | + | 0.0952628i | ||||||||
0.692314 | − | 0.875985i | 0.0220702 | − | 0.0279254i | |||||
− | 30.0577i | − | 0.957719i | |||||||
−9.14169 | + | 2.83448i | −0.291131 | + | 0.0902681i | |||||
−7.45024 | −0.237144 | |||||||||
−3.38750 | − | 4.93748i | −0.107771 | − | 0.157082i | |||||
6.99226i | 0.222341i | |||||||||
−2.92044 | + | 2.52752i | −0.0928178 | + | 0.0803300i | |||||
17.3869i | 0.552312i | 0.961113 | + | 0.276156i | ||||||
−0.961113 | + | 0.276156i | ||||||||
24.9286 | + | 1.68507i | 0.791484 | + | 0.0535010i | |||||
0.226972 | 0.00720274 | |||||||||
−4.79046 | − | 15.4501i | −0.151944 | − | 0.490048i | |||||
25.3291i | 0.802987i | |||||||||
2.13940 | + | 3.11831i | 0.0677896 | + | 0.0988074i | |||||
− | 39.6637i | − | 1.25616i | −0.778148 | − | 0.628081i | ||||
0.778148 | − | 0.628081i | ||||||||
0.967713 | + | 3.12105i | 0.0306324 | + | 0.0987950i | |||||
− | 15.5529i | − | 0.492071i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 308.2.d.a.43.4 | yes | 18 | |
4.3 | odd | 2 | 308.2.d.b.43.16 | yes | 18 | ||
11.10 | odd | 2 | 308.2.d.b.43.15 | yes | 18 | ||
44.43 | even | 2 | inner | 308.2.d.a.43.3 | ✓ | 18 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
308.2.d.a.43.3 | ✓ | 18 | 44.43 | even | 2 | inner | |
308.2.d.a.43.4 | yes | 18 | 1.1 | even | 1 | trivial | |
308.2.d.b.43.15 | yes | 18 | 11.10 | odd | 2 | ||
308.2.d.b.43.16 | yes | 18 | 4.3 | odd | 2 |