Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1156,2,Mod(733,1156)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1156, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([0, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1156.733");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 1156.h (of order , degree , not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Coefficient field: | 16.0.229607785695641627262976.1 |
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 68) |
Sato-Tate group: |
Embedding invariants
Embedding label | 757.4 | ||
Root | of defining polynomial | ||
Character | 1156.757 | ||
Dual form | 1156.2.h.e.733.4 |
-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
0 | 0 | |||||||||
3.00872 | + | 1.24625i | 1.73709 | + | 0.719525i | 0.998995 | + | 0.0448236i | ||
0.738091 | + | 0.674701i | ||||||||
0 | 0 | |||||||||
0.541196 | − | 1.30656i | 0.242030 | − | 0.584313i | −0.755454 | − | 0.655202i | ||
0.997484 | + | 0.0708890i | ||||||||
0 | 0 | |||||||||
−1.24625 | − | 3.00872i | −0.471039 | − | 1.13719i | −0.963705 | − | 0.266971i | ||
0.492665 | − | 0.870219i | ||||||||
0 | 0 | |||||||||
5.37794 | + | 5.37794i | 1.79265 | + | 1.79265i | |||||
0 | 0 | |||||||||
−0.395595 | + | 0.163861i | −0.119277 | + | 0.0494059i | −0.441524 | − | 0.897250i | ||
0.322247 | + | 0.946656i | ||||||||
0 | 0 | |||||||||
− | 2.60555i | − | 0.722650i | −0.932440 | − | 0.361325i | ||||
0.932440 | − | 0.361325i | ||||||||
0 | 0 | |||||||||
3.25662 | − | 3.25662i | 0.840855 | − | 0.840855i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0.428189 | − | 0.428189i | 0.0982334 | − | 0.0982334i | −0.656282 | − | 0.754516i | ||
0.754516 | + | 0.656282i | ||||||||
0 | 0 | |||||||||
− | 10.6056i | − | 2.31432i | |||||||
0 | 0 | |||||||||
5.62185 | − | 2.32865i | 1.17224 | − | 0.485556i | 0.290305 | − | 0.956934i | ||
0.881931 | + | 0.471378i | ||||||||
0 | 0 | |||||||||
2.12132 | + | 2.12132i | 0.424264 | + | 0.424264i | |||||
0 | 0 | |||||||||
5.73968 | + | 13.8568i | 1.10460 | + | 2.66675i | |||||
0 | 0 | |||||||||
−0.868918 | + | 2.09775i | −0.161354 | + | 0.389543i | −0.983792 | − | 0.179311i | ||
0.822438 | + | 0.568854i | ||||||||
0 | 0 | |||||||||
5.62185 | + | 2.32865i | 1.00971 | + | 0.418237i | 0.825350 | − | 0.564621i | ||
0.184363 | + | 0.982858i | ||||||||
0 | 0 | |||||||||
−1.39445 | −0.242742 | |||||||||
0 | 0 | |||||||||
−4.60555 | −0.778480 | |||||||||
0 | 0 | |||||||||
−3.91969 | − | 1.62359i | −0.644393 | − | 0.266916i | 0.0364615 | − | 0.999335i | ||
−0.680854 | + | 0.732419i | ||||||||
0 | 0 | |||||||||
3.24718 | − | 7.83938i | 0.519964 | − | 1.25531i | |||||
0 | 0 | |||||||||
−0.541196 | − | 1.30656i | −0.0845206 | − | 0.204051i | 0.875969 | − | 0.482368i | ||
−0.960489 | + | 0.278317i | ||||||||
0 | 0 | |||||||||
2.40024 | + | 2.40024i | 0.366033 | + | 0.366033i | 0.866028 | − | 0.499995i | ||
−0.499995 | + | 0.866028i | ||||||||
0 | 0 | |||||||||
9.93713 | − | 4.11609i | 1.48134 | − | 0.613591i | |||||
0 | 0 | |||||||||
4.00000i | 0.583460i | 0.956501 | + | 0.291730i | ||||||
−0.956501 | + | 0.291730i | ||||||||
0 | 0 | |||||||||
−2.54951 | + | 2.54951i | −0.364216 | + | 0.364216i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−3.68481 | + | 3.68481i | −0.506147 | + | 0.506147i | −0.913341 | − | 0.407194i | ||
0.407194 | + | 0.913341i | ||||||||
0 | 0 | |||||||||
0.605551i | 0.0816525i | |||||||||
0 | 0 | |||||||||
1.82194 | − | 0.754670i | 0.241321 | − | 0.0999585i | |||||
0 | 0 | |||||||||
−6.08504 | − | 6.08504i | −0.792205 | − | 0.792205i | 0.189647 | − | 0.981852i | ||
−0.981852 | + | 0.189647i | ||||||||
0 | 0 | |||||||||
−3.36142 | − | 8.11520i | −0.430386 | − | 1.03904i | −0.979163 | − | 0.203076i | ||
0.548777 | − | 0.835969i | ||||||||
0 | 0 | |||||||||
9.47844 | − | 22.8830i | 1.19417 | − | 2.88299i | |||||
0 | 0 | |||||||||
−3.40432 | − | 1.41011i | −0.422254 | − | 0.174903i | |||||
0 | 0 | |||||||||
−9.21110 | −1.12532 | −0.562658 | − | 0.826690i | ||||||
−0.562658 | + | 0.826690i | ||||||||
0 | 0 | |||||||||
19.8167 | 2.38564 | |||||||||
0 | 0 | |||||||||
−3.79991 | − | 1.57398i | −0.450967 | − | 0.186796i | 0.145628 | − | 0.989339i | ||
−0.596594 | + | 0.802543i | ||||||||
0 | 0 | |||||||||
3.78837 | − | 9.14594i | 0.443395 | − | 1.07045i | −0.531354 | − | 0.847150i | ||
0.974749 | − | 0.223301i | ||||||||
0 | 0 | |||||||||
3.73876 | + | 9.02616i | 0.431715 | + | 1.04225i | |||||
0 | 0 | |||||||||
0.986024 | + | 0.986024i | 0.112368 | + | 0.112368i | |||||
0 | 0 | |||||||||
−0.395595 | + | 0.163861i | −0.0445080 | + | 0.0184358i | −0.404826 | − | 0.914394i | ||
0.360318 | + | 0.932829i | ||||||||
0 | 0 | |||||||||
26.0278i | 2.89197i | |||||||||
0 | 0 | |||||||||
−12.5983 | + | 12.5983i | −1.38284 | + | 1.38284i | −0.543305 | + | 0.839535i | ||
−0.839535 | + | 0.543305i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−5.22866 | + | 5.22866i | −0.560572 | + | 0.560572i | |||||
0 | 0 | |||||||||
7.81665i | 0.828564i | 0.910149 | + | 0.414282i | ||||||
−0.910149 | + | 0.414282i | ||||||||
0 | 0 | |||||||||
−7.83938 | + | 3.24718i | −0.821790 | + | 0.340397i | |||||
0 | 0 | |||||||||
14.0125 | + | 14.0125i | 1.45303 | + | 1.45303i | |||||
0 | 0 | |||||||||
−0.327722 | − | 0.791191i | −0.0336236 | − | 0.0811745i | |||||
0 | 0 | |||||||||
−4.11609 | + | 9.93713i | −0.417926 | + | 1.00896i | 0.565021 | + | 0.825076i | ||
−0.982947 | + | 0.183887i | ||||||||
0 | 0 | |||||||||
−3.00872 | − | 1.24625i | −0.302388 | − | 0.125253i | |||||
0 | 0 | |||||||||
−10.6056 | −1.05529 | −0.527646 | − | 0.849464i | ||||||
−0.527646 | + | 0.849464i | ||||||||
0 | 0 | |||||||||
−13.2111 | −1.30173 | −0.650864 | − | 0.759194i | ||||||
−0.650864 | + | 0.759194i | ||||||||
0 | 0 | |||||||||
−13.8568 | − | 5.73968i | −1.35229 | − | 0.560136i | |||||
0 | 0 | |||||||||
−3.08332 | + | 7.44378i | −0.298075 | + | 0.719618i | 0.701898 | + | 0.712278i | ||
−0.999973 | + | 0.00733983i | ||||||||
0 | 0 | |||||||||
3.36142 | + | 8.11520i | 0.321966 | + | 0.777295i | 0.999140 | + | 0.0414716i | ||
−0.677174 | + | 0.735823i | ||||||||
0 | 0 | |||||||||
−9.76985 | − | 9.76985i | −0.927313 | − | 0.927313i | |||||
0 | 0 | |||||||||
12.5503 | − | 5.19849i | 1.18063 | − | 0.489033i | 0.295936 | − | 0.955208i | ||
0.884692 | + | 0.466175i | ||||||||
0 | 0 | |||||||||
− | 8.60555i | − | 0.802472i | |||||||
0 | 0 | |||||||||
14.0125 | − | 14.0125i | 1.29546 | − | 1.29546i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−7.64853 | + | 7.64853i | −0.695321 | + | 0.695321i | |||||
0 | 0 | |||||||||
− | 4.60555i | − | 0.415269i | |||||||
0 | 0 | |||||||||
10.4525 | − | 4.32957i | 0.934900 | − | 0.387248i | |||||
0 | 0 | |||||||||
−0.428189 | − | 0.428189i | −0.0379957 | − | 0.0379957i | 0.687854 | − | 0.725849i | ||
−0.725849 | + | 0.687854i | ||||||||
0 | 0 | |||||||||
4.23034 | + | 10.2130i | 0.372461 | + | 0.899200i | |||||
0 | 0 | |||||||||
−3.41104 | + | 8.23497i | −0.298024 | + | 0.719493i | 0.701950 | + | 0.712226i | ||
−0.999974 | + | 0.00726659i | ||||||||
0 | 0 | |||||||||
−1.82194 | − | 0.754670i | −0.157982 | − | 0.0654382i | |||||
0 | 0 | |||||||||
21.2111 | 1.82556 | |||||||||
0 | 0 | |||||||||
−2.60555 | −0.222607 | −0.111304 | − | 0.993786i | ||||||
−0.111304 | + | 0.993786i | ||||||||
0 | 0 | |||||||||
−0.395595 | − | 0.163861i | −0.0335540 | − | 0.0138985i | 0.365843 | − | 0.930676i | ||
−0.399397 | + | 0.916778i | ||||||||
0 | 0 | |||||||||
−4.98501 | + | 12.0349i | −0.419814 | + | 1.01352i | |||||
0 | 0 | |||||||||
0.426948 | + | 1.03074i | 0.0357032 | + | 0.0861952i | |||||
0 | 0 | |||||||||
2.27059 | + | 2.27059i | 0.188562 | + | 0.188562i | |||||
0 | 0 | |||||||||
−10.8481 | + | 4.49343i | −0.894736 | + | 0.370612i | |||||
0 | 0 | |||||||||
− | 8.42221i | − | 0.689974i | −0.938607 | − | 0.344987i | ||||
0.938607 | − | 0.344987i | ||||||||
0 | 0 | |||||||||
−3.25662 | + | 3.25662i | −0.265020 | + | 0.265020i | −0.827090 | − | 0.562070i | ||
0.562070 | + | 0.827090i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
6.08504 | − | 6.08504i | 0.488762 | − | 0.488762i | |||||
0 | 0 | |||||||||
− | 8.42221i | − | 0.672165i | −0.941833 | − | 0.336083i | ||||
0.941833 | − | 0.336083i | ||||||||
0 | 0 | |||||||||
−15.6788 | + | 6.49435i | −1.24341 | + | 0.515036i | |||||
0 | 0 | |||||||||
−14.0125 | − | 14.0125i | −1.10434 | − | 1.10434i | |||||
0 | 0 | |||||||||
−2.32865 | − | 5.62185i | −0.182394 | − | 0.440337i | 0.806065 | − | 0.591827i | ||
−0.988459 | + | 0.151490i | ||||||||
0 | 0 | |||||||||
−0.754670 | + | 1.82194i | −0.0587510 | + | 0.141837i | |||||
0 | 0 | |||||||||
19.4787 | + | 8.06833i | 1.50730 | + | 0.624346i | 0.975000 | − | 0.222207i | ||
0.532305 | + | 0.846553i | ||||||||
0 | 0 | |||||||||
6.21110 | 0.477777 | |||||||||
0 | 0 | |||||||||
4.60555 | 0.352195 | |||||||||
0 | 0 | |||||||||
19.3589 | + | 8.01872i | 1.47183 | + | 0.609652i | 0.967275 | − | 0.253729i | ||
0.504554 | + | 0.863380i | ||||||||
0 | 0 | |||||||||
3.73876 | − | 9.02616i | 0.282624 | − | 0.682314i | |||||
0 | 0 | |||||||||
−10.7247 | − | 25.8917i | −0.806117 | − | 1.94614i | |||||
0 | 0 | |||||||||
10.6262 | + | 10.6262i | 0.794242 | + | 0.794242i | 0.982181 | − | 0.187939i | ||
−0.187939 | + | 0.982181i | ||||||||
0 | 0 | |||||||||
−16.9853 | + | 7.03555i | −1.26251 | + | 0.522948i | −0.910679 | − | 0.413116i | ||
−0.351830 | + | 0.936064i | ||||||||
0 | 0 | |||||||||
− | 28.6056i | − | 2.11458i | |||||||
0 | 0 | |||||||||
−4.24264 | + | 4.24264i | −0.311925 | + | 0.311925i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
34.5382 | − | 34.5382i | 2.51229 | − | 2.51229i | |||||
0 | 0 | |||||||||
6.78890i | 0.491227i | 0.969368 | + | 0.245614i | ||||||
−0.969368 | + | 0.245614i | ||||||||
0 | 0 | |||||||||
10.7283 | − | 4.44382i | 0.772242 | − | 0.319873i | 0.0384615 | − | 0.999260i | ||
0.733780 | + | 0.679387i | ||||||||
0 | 0 | |||||||||
−8.48528 | − | 8.48528i | −0.607644 | − | 0.607644i | |||||
0 | 0 | |||||||||
−9.52806 | − | 23.0028i | −0.678846 | − | 1.63888i | −0.766122 | − | 0.642695i | ||
0.0872765 | − | 0.996184i | ||||||||
0 | 0 | |||||||||
−5.47660 | + | 13.2217i | −0.388226 | + | 0.937259i | 0.602090 | + | 0.798428i | ||
−0.990316 | + | 0.138832i | ||||||||
0 | 0 | |||||||||
−27.7136 | − | 11.4794i | −1.95477 | − | 0.809692i | |||||
0 | 0 | |||||||||
7.39445 | 0.518989 | |||||||||
0 | 0 | |||||||||
−2.00000 | −0.139686 | |||||||||
0 | 0 | |||||||||
42.7572 | + | 17.7106i | 2.97183 | + | 1.23097i | |||||
0 | 0 | |||||||||
−0.0992262 | + | 0.239553i | −0.00686362 | + | 0.0165702i | |||||
0 | 0 | |||||||||
−8.39605 | − | 20.2699i | −0.578008 | − | 1.39543i | −0.894598 | − | 0.446872i | ||
0.316590 | − | 0.948563i | ||||||||
0 | 0 | |||||||||
−9.47131 | − | 9.47131i | −0.648963 | − | 0.648963i | |||||
0 | 0 | |||||||||
4.43506 | − | 1.83706i | 0.302469 | − | 0.125287i | |||||
0 | 0 | |||||||||
− | 19.8167i | − | 1.34524i | |||||||
0 | 0 | |||||||||
22.7963 | − | 22.7963i | 1.54043 | − | 1.54043i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−12.5983 | + | 12.5983i | −0.843643 | + | 0.843643i | −0.989331 | − | 0.145688i | ||
0.145688 | + | 0.989331i | ||||||||
0 | 0 | |||||||||
22.8167i | 1.52111i | |||||||||
0 | 0 | |||||||||
0.395595 | − | 0.163861i | 0.0262566 | − | 0.0108758i | −0.369516 | − | 0.929224i | ||
0.395773 | + | 0.918348i | ||||||||
0 | 0 | |||||||||
3.25662 | + | 3.25662i | 0.215203 | + | 0.215203i | 0.806474 | − | 0.591270i | ||
−0.591270 | + | 0.806474i | ||||||||
0 | 0 | |||||||||
1.73784 | + | 4.19551i | 0.114341 | + | 0.276044i | |||||
0 | 0 | |||||||||
3.03370 | − | 7.32401i | 0.198744 | − | 0.479812i | −0.792815 | − | 0.609462i | ||
0.991560 | + | 0.129650i | ||||||||
0 | 0 | |||||||||
5.22625 | + | 2.16478i | 0.340923 | + | 0.141215i | |||||
0 | 0 | |||||||||
−1.39445 | −0.0905792 | |||||||||
0 | 0 | |||||||||
−14.7889 | −0.956614 | −0.478307 | − | 0.878193i | ||||||
−0.478307 | + | 0.878193i | ||||||||
0 | 0 | |||||||||
−11.7591 | − | 4.87076i | −0.757468 | − | 0.313754i | −0.0296835 | − | 0.999559i | ||
−0.727785 | + | 0.685806i | ||||||||
0 | 0 | |||||||||
−15.2181 | + | 36.7398i | −0.976243 | + | 2.35686i | |||||
0 | 0 | |||||||||
1.95131 | + | 4.71088i | 0.124665 | + | 0.300967i | |||||
0 | 0 | |||||||||
−1.11567 | − | 1.11567i | −0.0709883 | − | 0.0709883i | |||||
0 | 0 | |||||||||
−53.6053 | + | 22.2041i | −3.39710 | + | 1.40713i | |||||
0 | 0 | |||||||||
12.0000i | 0.757433i | 0.925513 | + | 0.378717i | ||||||
−0.925513 | + | 0.378717i | ||||||||
0 | 0 | |||||||||
−1.84240 | + | 1.84240i | −0.115831 | + | 0.115831i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
13.7139 | − | 13.7139i | 0.855452 | − | 0.855452i | −0.135346 | − | 0.990798i | ||
0.990798 | + | 0.135346i | ||||||||
0 | 0 | |||||||||
13.8167i | 0.858525i | |||||||||
0 | 0 | |||||||||
−15.9546 | + | 6.60860i | −0.987563 | + | 0.409062i | |||||
0 | 0 | |||||||||
16.2831 | + | 16.2831i | 1.00406 | + | 1.00406i | 0.999992 | + | 0.00406616i | ||
0.00406616 | + | 0.999992i | ||||||||
0 | 0 | |||||||||
2.82023 | + | 6.80863i | 0.173245 | + | 0.418251i | |||||
0 | 0 | |||||||||
−9.74153 | + | 23.5181i | −0.596172 | + | 1.43929i | |||||
0 | 0 | |||||||||
22.7632 | + | 9.42883i | 1.38790 | + | 0.574886i | 0.946581 | − | 0.322466i | ||
0.441316 | + | 0.897352i | ||||||||
0 | 0 | |||||||||
−1.21110 | −0.0735692 | −0.0367846 | − | 0.999323i | ||||||
−0.0367846 | + | 0.999323i | ||||||||
0 | 0 | |||||||||
−27.6333 | −1.67244 | |||||||||
0 | 0 | |||||||||
−1.18679 | − | 0.491583i | −0.0715659 | − | 0.0296436i | |||||
0 | 0 | |||||||||
−1.95131 | + | 4.71088i | −0.117243 | + | 0.283049i | −0.971597 | − | 0.236642i | ||
0.854354 | + | 0.519691i | ||||||||
0 | 0 | |||||||||
17.7106 | + | 42.7572i | 1.06031 | + | 2.55981i | |||||
0 | 0 | |||||||||
−13.0265 | − | 13.0265i | −0.777094 | − | 0.777094i | 0.202242 | − | 0.979336i | ||
−0.979336 | + | 0.202242i | ||||||||
0 | 0 | |||||||||
2.76917 | − | 1.14703i | 0.164610 | − | 0.0681837i | −0.298857 | − | 0.954298i | ||
0.463467 | + | 0.886114i | ||||||||
0 | 0 | |||||||||
− | 2.78890i | − | 0.165200i | |||||||
0 | 0 | |||||||||
−3.25662 | + | 3.25662i | −0.192232 | + | 0.192232i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−24.7684 | + | 24.7684i | −1.45195 | + | 1.45195i | |||||
0 | 0 | |||||||||
− | 21.6333i | − | 1.26383i | −0.775037 | − | 0.631916i | ||||
0.775037 | − | 0.631916i | ||||||||
0 | 0 | |||||||||
−11.2437 | + | 4.65729i | −0.654633 | + | 0.271158i | |||||
0 | 0 | |||||||||
−4.54118 | − | 4.54118i | −0.263506 | − | 0.263506i | |||||
0 | 0 | |||||||||
−6.06740 | − | 14.6480i | −0.350887 | − | 0.847116i | |||||
0 | 0 | |||||||||
4.23034 | − | 10.2130i | 0.243833 | − | 0.588665i | |||||
0 | 0 | |||||||||
−31.9091 | − | 13.2172i | −1.83313 | − | 0.759308i | |||||
0 | 0 | |||||||||
−12.4222 | −0.711293 | |||||||||
0 | 0 | |||||||||
21.2111 | 1.21058 | 0.605291 | − | 0.796004i | ||||||
0.605291 | + | 0.796004i | ||||||||
0 | 0 | |||||||||
−39.7485 | − | 16.4644i | −2.26121 | − | 0.936626i | |||||
0 | 0 | |||||||||
−10.2331 | + | 24.7049i | −0.580267 | + | 1.40089i | 0.312305 | + | 0.949982i | ||
−0.892572 | + | 0.450906i | ||||||||
0 | 0 | |||||||||
−3.36142 | − | 8.11520i | −0.189999 | − | 0.458698i | 0.799960 | − | 0.600053i | ||
−0.989959 | + | 0.141355i | ||||||||
0 | 0 | |||||||||
−24.7684 | − | 24.7684i | −1.39554 | − | 1.39554i | |||||
0 | 0 | |||||||||
25.6159 | − | 10.6104i | 1.43873 | − | 0.595942i | 0.479241 | − | 0.877683i | ||
0.959490 | + | 0.281741i | ||||||||
0 | 0 | |||||||||
− | 0.972244i | − | 0.0544352i | |||||||
0 | 0 | |||||||||
−18.5537 | + | 18.5537i | −1.03557 | + | 1.03557i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
5.52721 | − | 5.52721i | 0.306594 | − | 0.306594i | |||||
0 | 0 | |||||||||
28.6056i | 1.58189i | |||||||||
0 | 0 | |||||||||
12.0349 | − | 4.98501i | 0.663505 | − | 0.274833i | |||||
0 | 0 | |||||||||
−2.40024 | − | 2.40024i | −0.131929 | − | 0.131929i | 0.638059 | − | 0.769988i | ||
−0.769988 | + | 0.638059i | ||||||||
0 | 0 | |||||||||
−12.3483 | − | 29.8114i | −0.676682 | − | 1.63365i | |||||
0 | 0 | |||||||||
−4.98501 | + | 12.0349i | −0.272360 | + | 0.657536i | |||||
0 | 0 | |||||||||
−21.1808 | − | 8.77339i | −1.15379 | − | 0.477917i | −0.277989 | − | 0.960584i | ||
−0.875804 | + | 0.482667i | ||||||||
0 | 0 | |||||||||
44.2389 | 2.40273 | |||||||||
0 | 0 | |||||||||
−2.60555 | −0.141099 | |||||||||
0 | 0 | |||||||||
−10.2130 | − | 4.23034i | −0.551447 | − | 0.228417i | |||||
0 | 0 | |||||||||
10.7247 | − | 25.8917i | 0.577398 | − | 1.39396i | |||||
0 | 0 | |||||||||
2.98409 | + | 7.20423i | 0.160194 | + | 0.386743i | 0.983513 | − | 0.180836i | ||
−0.823319 | + | 0.567579i | ||||||||
0 | 0 | |||||||||
−16.7113 | − | 16.7113i | −0.894534 | − | 0.894534i | 0.100412 | − | 0.994946i | ||
−0.994946 | + | 0.100412i | ||||||||
0 | 0 | |||||||||
36.1047 | − | 14.9550i | 1.92712 | − | 0.798241i | |||||
0 | 0 | |||||||||
31.2111i | 1.66120i | 0.556870 | + | 0.830600i | ||||||
−0.556870 | + | 0.830600i | ||||||||
0 | 0 | |||||||||
−4.11300 | + | 4.11300i | −0.218295 | + | 0.218295i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
11.7419 | − | 11.7419i | 0.619714 | − | 0.619714i | −0.325744 | − | 0.945458i | ||
0.945458 | + | 0.325744i | ||||||||
0 | 0 | |||||||||
18.6333i | 0.980700i | |||||||||
0 | 0 | |||||||||
−32.5443 | + | 13.4803i | −1.70813 | + | 0.707532i | |||||
0 | 0 | |||||||||
−9.89949 | − | 9.89949i | −0.518163 | − | 0.518163i | |||||
0 | 0 | |||||||||
−3.73876 | − | 9.02616i | −0.195162 | − | 0.471162i | 0.795758 | − | 0.605614i | ||
−0.990920 | + | 0.134452i | ||||||||
0 | 0 | |||||||||
4.11609 | − | 9.93713i | 0.214275 | − | 0.517306i | |||||
0 | 0 | |||||||||
15.6788 | + | 6.49435i | 0.814000 | + | 0.337170i | |||||
0 | 0 | |||||||||
−21.0278 | −1.08878 | −0.544388 | − | 0.838834i | ||||||
−0.544388 | + | 0.838834i | ||||||||
0 | 0 | |||||||||
36.8444 | 1.90264 | |||||||||
0 | 0 | |||||||||
5.46581 | + | 2.26401i | 0.281503 | + | 0.116602i | |||||
0 | 0 | |||||||||
11.2163 | − | 27.0785i | 0.576142 | − | 1.39093i | −0.320109 | − | 0.947381i | ||
0.896251 | − | 0.443548i | ||||||||
0 | 0 | |||||||||
−0.754670 | − | 1.82194i | −0.0386629 | − | 0.0933406i | |||||
0 | 0 | |||||||||
13.7139 | + | 13.7139i | 0.700750 | + | 0.700750i | 0.964571 | − | 0.263822i | ||
−0.263822 | + | 0.964571i | ||||||||
0 | 0 | |||||||||
1.82194 | − | 0.754670i | 0.0928544 | − | 0.0384616i | |||||
0 | 0 | |||||||||
25.8167i | 1.31233i | |||||||||
0 | 0 | |||||||||
−7.20071 | + | 7.20071i | −0.365091 | + | 0.365091i | −0.865683 | − | 0.500592i | ||
0.500592 | + | 0.865683i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−20.5257 | + | 20.5257i | −1.03539 | + | 1.03539i | |||||
0 | 0 | |||||||||
0.605551i | 0.0304686i | |||||||||
0 | 0 | |||||||||
11.7591 | − | 4.87076i | 0.590171 | − | 0.244457i | −0.0675534 | − | 0.997716i | ||
0.657724 | + | 0.753259i | ||||||||
0 | 0 | |||||||||
−4.54118 | − | 4.54118i | −0.227344 | − | 0.227344i | |||||
0 | 0 | |||||||||
−3.78837 | − | 9.14594i | −0.189182 | − | 0.456726i | 0.800620 | − | 0.599172i | ||
−0.989803 | + | 0.142445i | ||||||||
0 | 0 | |||||||||
6.06740 | − | 14.6480i | 0.302239 | − | 0.729669i | |||||
0 | 0 | |||||||||
34.0069 | + | 14.0861i | 1.68982 | + | 0.699945i | |||||
0 | 0 | |||||||||
1.81665 | 0.0900482 | |||||||||
0 | 0 | |||||||||
23.2111 | 1.14772 | 0.573858 | − | 0.818955i | ||||||
0.573858 | + | 0.818955i | ||||||||
0 | 0 | |||||||||
−7.83938 | − | 3.24718i | −0.386688 | − | 0.160171i | |||||
0 | 0 | |||||||||
−10.7247 | + | 25.8917i | −0.527728 | + | 1.27405i | |||||
0 | 0 | |||||||||
9.64230 | + | 23.2786i | 0.473322 | + | 1.14270i | |||||
0 | 0 | |||||||||
−0.986024 | − | 0.986024i | −0.0482858 | − | 0.0482858i | |||||
0 | 0 | |||||||||
3.00872 | − | 1.24625i | 0.146986 | − | 0.0608835i | −0.307978 | − | 0.951394i | ||
0.454964 | + | 0.890510i | ||||||||
0 | 0 | |||||||||
− | 18.6056i | − | 0.906779i | −0.891312 | − | 0.453390i | ||||
0.891312 | − | 0.453390i | ||||||||
0 | 0 | |||||||||
−21.5117 | + | 21.5117i | −1.04594 | + | 1.04594i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−20.2272 | + | 20.2272i | −0.978862 | + | 0.978862i | |||||
0 | 0 | |||||||||
3.63331i | 0.175418i | |||||||||
0 | 0 | |||||||||
2.45708 | − | 1.01776i | 0.118354 | − | 0.0490237i | −0.322721 | − | 0.946494i | ||
0.441074 | + | 0.897471i | ||||||||
0 | 0 | |||||||||
−10.6262 | − | 10.6262i | −0.510664 | − | 0.510664i | 0.404066 | − | 0.914730i | ||
−0.914730 | + | 0.404066i | ||||||||
0 | 0 | |||||||||
4.00185 | + | 9.66131i | 0.191874 | + | 0.463224i | |||||
0 | 0 | |||||||||
1.41011 | − | 3.40432i | 0.0674549 | − | 0.162851i | |||||
0 | 0 | |||||||||
−34.3662 | − | 14.2350i | −1.64021 | − | 0.679398i | −0.643891 | − | 0.765117i | ||
−0.996319 | + | 0.0857193i | ||||||||
0 | 0 | |||||||||
−27.4222 | −1.30582 | |||||||||
0 | 0 | |||||||||
−17.2111 | −0.817724 | −0.408862 | − | 0.912596i | ||||||
−0.408862 | + | 0.912596i | ||||||||
0 | 0 | |||||||||
10.2130 | + | 4.23034i | 0.484140 | + | 0.200537i | |||||
0 | 0 | |||||||||
10.4962 | − | 25.3401i | 0.496453 | − | 1.19854i | |||||
0 | 0 | |||||||||
9.10111 | + | 21.9720i | 0.429508 | + | 1.03692i | 0.979444 | + | 0.201717i | ||
−0.549936 | + | 0.835207i | ||||||||
0 | 0 | |||||||||
0.428189 | + | 0.428189i | 0.0201627 | + | 0.0201627i | |||||
0 | 0 | |||||||||
−13.8568 | + | 5.73968i | −0.651050 | + | 0.269674i | |||||
0 | 0 | |||||||||
12.0000i | 0.562569i | |||||||||
0 | 0 | |||||||||
25.8840 | − | 25.8840i | 1.21080 | − | 1.21080i | 0.240041 | − | 0.970763i | ||
0.970763 | − | 0.240041i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
20.6554 | − | 20.6554i | 0.962016 | − | 0.962016i | −0.0372881 | − | 0.999305i | ||
0.999305 | + | 0.0372881i | ||||||||
0 | 0 | |||||||||
− | 39.6333i | − | 1.84192i | −0.389662 | − | 0.920958i | ||||
0.389662 | − | 0.920958i | ||||||||
0 | 0 | |||||||||
25.8917 | − | 10.7247i | 1.20070 | − | 0.497346i | |||||
0 | 0 | |||||||||
11.4826 | + | 11.4826i | 0.531352 | + | 0.531352i | 0.920975 | − | 0.389623i | ||
−0.389623 | + | 0.920975i | ||||||||
0 | 0 | |||||||||
11.4794 | + | 27.7136i | 0.530068 | + | 1.27970i | |||||
0 | 0 | |||||||||
10.4962 | − | 25.3401i | 0.483639 | − | 1.16761i | |||||
0 | 0 | |||||||||
−1.34283 | − | 0.556218i | −0.0617433 | − | 0.0255749i | |||||
0 | 0 | |||||||||
1.81665 | 0.0833538 | |||||||||
0 | 0 | |||||||||
−39.6333 | −1.81468 | |||||||||
0 | 0 | |||||||||
−16.0744 | − | 6.65821i | −0.734456 | − | 0.304222i | −0.0160742 | − | 0.999871i | ||
−0.718382 | + | 0.695649i | ||||||||
0 | 0 | |||||||||
−4.23034 | + | 10.2130i | −0.192887 | + | 0.465670i | |||||
0 | 0 | |||||||||
−24.6966 | − | 59.6228i | −1.12373 | − | 2.71293i | |||||
0 | 0 | |||||||||
10.7559 | + | 10.7559i | 0.488399 | + | 0.488399i | |||||
0 | 0 | |||||||||
−22.6434 | + | 9.37922i | −1.02607 | + | 0.425013i | −0.831293 | − | 0.555834i | ||
−0.194779 | + | 0.980847i | ||||||||
0 | 0 | |||||||||
− | 19.8167i | − | 0.896140i | |||||||
0 | 0 | |||||||||
6.94142 | − | 6.94142i | 0.313262 | − | 0.313262i | −0.532910 | − | 0.846172i | ||
0.846172 | + | 0.532910i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−3.25662 | + | 3.25662i | −0.146374 | + | 0.146374i | |||||
0 | 0 | |||||||||
13.3944i | 0.600823i | |||||||||
0 | 0 | |||||||||
−13.4612 | + | 5.57582i | −0.602607 | + | 0.249608i | −0.663064 | − | 0.748563i | ||
0.0604568 | + | 0.998171i | ||||||||
0 | 0 | |||||||||
48.5507 | + | 48.5507i | 2.16909 | + | 2.16909i | |||||
0 | 0 | |||||||||
14.8904 | + | 35.9486i | 0.663930 | + | 1.60287i | 0.791591 | + | 0.611052i | ||
−0.127661 | + | 0.991818i | ||||||||
0 | 0 | |||||||||
−5.73968 | + | 13.8568i | −0.255413 | + | 0.616620i | |||||
0 | 0 | |||||||||
18.6875 | + | 7.74061i | 0.829940 | + | 0.343772i | |||||
0 | 0 | |||||||||
3.21110 | 0.142330 | 0.0711648 | − | 0.997465i | ||||||
0.0711648 | + | 0.997465i | ||||||||
0 | 0 | |||||||||
−32.2389 | −1.42616 | |||||||||
0 | 0 | |||||||||
8.39102 | + | 3.47567i | 0.370472 | + | 0.153455i | |||||
0 | 0 | |||||||||
−7.14980 | + | 17.2611i | −0.315058 | + | 0.760617i | |||||
0 | 0 | |||||||||
−0.655444 | − | 1.58238i | −0.0288264 | − | 0.0695931i | |||||
0 | 0 | |||||||||
48.2522 | + | 48.2522i | 2.11803 | + | 2.11803i | |||||
0 | 0 | |||||||||
16.9853 | − | 7.03555i | 0.744140 | − | 0.308233i | 0.0217921 | − | 0.999763i | ||
0.722348 | + | 0.691530i | ||||||||
0 | 0 | |||||||||
12.0000i | 0.524723i | 0.964970 | + | 0.262362i | ||||||
−0.964970 | + | 0.262362i | ||||||||
0 | 0 | |||||||||
22.4978 | − | 22.4978i | 0.981883 | − | 0.981883i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
9.91912 | − | 9.91912i | 0.431266 | − | 0.431266i | |||||
0 | 0 | |||||||||
− | 65.4500i | − | 2.84029i | |||||||
0 | 0 | |||||||||
−3.40432 | + | 1.41011i | −0.147457 | + | 0.0610788i | |||||
0 | 0 | |||||||||
8.05709 | + | 8.05709i | 0.348338 | + | 0.348338i | |||||
0 | 0 | |||||||||
18.7284 | + | 45.2143i | 0.808190 | + | 1.95114i | |||||
0 | 0 | |||||||||
0.590809 | − | 1.42634i | 0.0254480 | − | 0.0614368i | |||||
0 | 0 | |||||||||
3.91969 | + | 1.62359i | 0.168521 | + | 0.0698035i | 0.465349 | − | 0.885127i | ||
−0.296828 | + | 0.954931i | ||||||||
0 | 0 | |||||||||
−59.8722 | −2.56936 | |||||||||
0 | 0 | |||||||||
12.4222 | 0.532109 | |||||||||
0 | 0 | |||||||||
15.0436 | + | 6.23127i | 0.643218 | + | 0.266430i | 0.680357 | − | 0.732880i | ||
−0.0371393 | + | 0.999310i | ||||||||
0 | 0 | |||||||||
25.5655 | − | 61.7205i | 1.09111 | − | 2.63417i | |||||
0 | 0 | |||||||||
0.526174 | + | 1.27030i | 0.0224158 | + | 0.0541165i | |||||
0 | 0 | |||||||||
0.986024 | + | 0.986024i | 0.0419300 | + | 0.0419300i | |||||
0 | 0 | |||||||||
−18.0523 | + | 7.47752i | −0.766279 | + | 0.317403i | |||||
0 | 0 | |||||||||
21.3944i | 0.906512i | 0.891380 | + | 0.453256i | ||||||
−0.891380 | + | 0.453256i | ||||||||
0 | 0 | |||||||||
6.25394 | − | 6.25394i | 0.264514 | − | 0.264514i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
14.5703 | − | 14.5703i | 0.614066 | − | 0.614066i | −0.329937 | − | 0.944003i | ||
0.944003 | + | 0.329937i | ||||||||
0 | 0 | |||||||||
− | 19.2111i | − | 0.808217i | |||||||
0 | 0 | |||||||||
78.3103 | − | 32.4372i | 3.28872 | − | 1.36223i | |||||
0 | 0 | |||||||||
−21.5117 | − | 21.5117i | −0.901819 | − | 0.901819i | 0.0937741 | − | 0.995593i | ||
−0.995593 | + | 0.0937741i | ||||||||
0 | 0 | |||||||||
1.24625 | + | 3.00872i | 0.0521541 | + | 0.125911i | 0.947809 | − | 0.318838i | ||
−0.895655 | + | 0.444749i | ||||||||
0 | 0 | |||||||||
−8.46069 | + | 20.4259i | −0.353450 | + | 0.853304i | |||||
0 | 0 | |||||||||
16.8655 | + | 6.98594i | 0.703342 | + | 0.291334i | |||||
0 | 0 | |||||||||
31.4500 | 1.30928 | 0.654640 | − | 0.755941i | ||||||
0.654640 | + | 0.755941i | ||||||||
0 | 0 | |||||||||
37.8167 | 1.57161 | |||||||||
0 | 0 | |||||||||
53.6053 | + | 22.2041i | 2.22392 | + | 0.921180i | |||||
0 | 0 | |||||||||
0.853896 | − | 2.06149i | 0.0353648 | − | 0.0853781i | |||||
0 | 0 | |||||||||
−10.7247 | − | 25.8917i | −0.443412 | − | 1.07049i | |||||
0 | 0 | |||||||||
3.25662 | + | 3.25662i | 0.134415 | + | 0.134415i | 0.771113 | − | 0.636698i | ||
−0.636698 | + | 0.771113i | ||||||||
0 | 0 | |||||||||
3.40432 | − | 1.41011i | 0.140272 | − | 0.0581027i | |||||
0 | 0 | |||||||||
− | 81.0833i | − | 3.33532i | |||||||
0 | 0 | |||||||||
−1.11567 | + | 1.11567i | −0.0458151 | + | 0.0458151i | −0.729643 | − | 0.683828i | ||
0.683828 | + | 0.729643i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−32.9551 | + | 32.9551i | −1.34876 | + | 1.34876i | |||||
0 | 0 | |||||||||
26.0555i | 1.06460i | 0.846556 | + | 0.532300i | ||||||
−0.846556 | + | 0.532300i | ||||||||
0 | 0 | |||||||||
5.50207 | − | 2.27903i | 0.224434 | − | 0.0929637i | −0.267633 | − | 0.963521i | ||
0.492067 | + | 0.870557i | ||||||||
0 | 0 | |||||||||
−49.5367 | − | 49.5367i | −2.01729 | − | 2.01729i | |||||
0 | 0 | |||||||||
5.85393 | + | 14.1326i | 0.237996 | + | 0.574573i | |||||
0 | 0 | |||||||||
5.14887 | − | 12.4305i | 0.208986 | − | 0.504538i | −0.784278 | − | 0.620410i | ||
0.993264 | + | 0.115872i | ||||||||
0 | 0 | |||||||||
22.2478 | + | 9.21536i | 0.901528 | + | 0.373425i | |||||
0 | 0 | |||||||||
10.4222 | 0.421637 | |||||||||
0 | 0 | |||||||||
40.4222 | 1.63264 | 0.816319 | − | 0.577602i | ||||||
0.816319 | + | 0.577602i | ||||||||
0 | 0 | |||||||||
−6.01744 | − | 2.49251i | −0.242647 | − | 0.100508i | |||||
0 | 0 | |||||||||
−0.868918 | + | 2.09775i | −0.0349813 | + | 0.0844524i | −0.940405 | − | 0.340057i | ||
0.905423 | + | 0.424510i | ||||||||
0 | 0 | |||||||||
−7.83983 | − | 18.9270i | −0.315109 | − | 0.760742i | −0.999500 | − | 0.0316257i | ||
0.684390 | − | 0.729116i | ||||||||
0 | 0 | |||||||||
64.5352 | + | 64.5352i | 2.58971 | + | 2.58971i | |||||
0 | 0 | |||||||||
23.5181 | − | 9.74153i | 0.942234 | − | 0.390286i | |||||
0 | 0 | |||||||||
− | 1.00000i | − | 0.0400000i | |||||||
0 | 0 | |||||||||
−0.597088 | + | 0.597088i | −0.0238454 | + | 0.0238454i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
17.1395 | − | 17.1395i | 0.682311 | − | 0.682311i | −0.278209 | − | 0.960520i | ||
0.960520 | + | 0.278209i | ||||||||
0 | 0 | |||||||||
− | 71.4500i | − | 2.83988i | |||||||
0 | 0 | |||||||||
−0.791191 | + | 0.327722i | −0.0313975 | + | 0.0130053i | |||||
0 | 0 | |||||||||
6.64288 | + | 6.64288i | 0.263200 | + | 0.263200i | |||||
0 | 0 | |||||||||
−11.9709 | − | 28.9004i | −0.473563 | − | 1.14328i | |||||
0 | 0 | |||||||||
16.6779 | − | 40.2639i | 0.658736 | − | 1.59033i | −0.141023 | − | 0.990006i | ||
0.799758 | − | 0.600322i | ||||||||
0 | 0 | |||||||||
5.38229 | + | 2.22942i | 0.212257 | + | 0.0879197i | 0.486279 | − | 0.873804i | ||
−0.274022 | + | 0.961724i | ||||||||
0 | 0 | |||||||||
15.6333 | 0.615561 | |||||||||
0 | 0 | |||||||||
−17.2111 | −0.676638 | −0.338319 | − | 0.941031i | ||||||
−0.338319 | + | 0.941031i | ||||||||
0 | 0 | |||||||||
3.40432 | + | 1.41011i | 0.133631 | + | 0.0553518i | |||||
0 | 0 | |||||||||
24.6966 | − | 59.6228i | 0.967935 | − | 2.33680i | |||||
0 | 0 | |||||||||
−13.4307 | − | 32.4245i | −0.525583 | − | 1.26887i | −0.934391 | − | 0.356249i | ||
0.408808 | − | 0.912620i | ||||||||
0 | 0 | |||||||||
8.91347 | + | 8.91347i | 0.348278 | + | 0.348278i | |||||
0 | 0 | |||||||||
69.5599 | − | 28.8127i | 2.71379 | − | 1.12409i | |||||
0 | 0 | |||||||||
32.0000i | 1.24654i | 0.782006 | + | 0.623272i | ||||||
−0.782006 | + | 0.623272i | ||||||||
0 | 0 | |||||||||
0.856379 | − | 0.856379i | 0.0333093 | − | 0.0333093i | −0.690256 | − | 0.723565i | ||
0.723565 | + | 0.690256i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−1.97205 | + | 1.97205i | −0.0764728 | + | 0.0764728i | |||||
0 | 0 | |||||||||
13.8167i | 0.534983i | |||||||||
0 | 0 | |||||||||
−53.6053 | + | 22.2041i | −2.07250 | + | 0.858459i | |||||
0 | 0 | |||||||||
2.65953 | + | 2.65953i | 0.102670 | + | 0.102670i | |||||
0 | 0 | |||||||||
3.03370 | + | 7.32401i | 0.116941 | + | 0.282320i | 0.971502 | − | 0.237030i | ||
−0.854562 | + | 0.519350i | ||||||||
0 | 0 | |||||||||
−17.2190 | + | 41.5705i | −0.662762 | + | 1.60005i | |||||
0 | 0 | |||||||||
−20.9413 | − | 8.67416i | −0.804838 | − | 0.333375i | −0.0579459 | − | 0.998320i | ||
−0.746893 | + | 0.664945i | ||||||||
0 | 0 | |||||||||
35.0278 | 1.34424 | |||||||||
0 | 0 | |||||||||
1.39445 | 0.0534354 | |||||||||
0 | 0 | |||||||||
0.947233 | + | 0.392357i | 0.0362449 | + | 0.0150131i | 0.400732 | − | 0.916195i | ||
−0.364487 | + | 0.931208i | ||||||||
0 | 0 | |||||||||
−1.41011 | + | 3.40432i | −0.0538777 | + | 0.130072i | |||||
0 | 0 | |||||||||
5.73968 | + | 13.8568i | 0.218983 | + | 0.528671i | |||||
0 | 0 | |||||||||
9.60095 | + | 9.60095i | 0.365767 | + | 0.365767i | |||||
0 | 0 | |||||||||
−7.20423 | + | 2.98409i | −0.274062 | + | 0.113520i | −0.515482 | − | 0.856901i | ||
0.241420 | + | 0.970421i | ||||||||
0 | 0 | |||||||||
10.6056i | 0.402872i | |||||||||
0 | 0 | |||||||||
−0.428189 | + | 0.428189i | −0.0162422 | + | 0.0162422i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
18.2551 | − | 18.2551i | 0.690472 | − | 0.690472i | |||||
0 | 0 | |||||||||
− | 7.81665i | − | 0.295231i | −0.989045 | − | 0.147615i | ||||
0.989045 | − | 0.147615i | ||||||||
0 | 0 | |||||||||
−2.37357 | + | 0.983166i | −0.0895210 | + | 0.0370808i | |||||
0 | 0 | |||||||||
13.0265 | + | 13.0265i | 0.490605 | + | 0.490605i | |||||
0 | 0 | |||||||||
13.2172 | + | 31.9091i | 0.497084 | + | 1.20007i | |||||
0 | 0 | |||||||||
7.79022 | − | 18.8073i | 0.292568 | − | 0.706321i | −0.707432 | − | 0.706781i | ||
1.00000 | 0.000460118i | |||||||||
0 | 0 | |||||||||
−3.00872 | − | 1.24625i | −0.112836 | − | 0.0467381i | |||||
0 | 0 | |||||||||
37.0278 | 1.38670 | |||||||||
0 | 0 | |||||||||
1.57779 | 0.0590062 | |||||||||
0 | 0 | |||||||||
−44.4957 | − | 18.4307i | −1.66172 | − | 0.688308i | |||||
0 | 0 | |||||||||
2.55714 | − | 6.17348i | 0.0953653 | − | 0.230232i | −0.868997 | − | 0.494817i | ||
0.964362 | + | 0.264585i | ||||||||
0 | 0 | |||||||||
16.4644 | + | 39.7485i | 0.613166 | + | 1.48031i | |||||
0 | 0 | |||||||||
−29.3095 | − | 29.3095i | −1.09003 | − | 1.09003i | |||||
0 | 0 | |||||||||
−6.29326 | + | 2.60675i | −0.233726 | + | 0.0968124i | |||||
0 | 0 | |||||||||
6.42221i | 0.238186i | 0.992883 | + | 0.119093i | ||||||
−0.992883 | + | 0.119093i | ||||||||
0 | 0 | |||||||||
−36.3610 | + | 36.3610i | −1.34670 | + | 1.34670i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−32.5662 | + | 32.5662i | −1.20286 | + | 1.20286i | −0.229566 | + | 0.973293i | ||
−0.973293 | + | 0.229566i | ||||||||
0 | 0 | |||||||||
16.6056i | 0.612505i | |||||||||
0 | 0 | |||||||||
3.64387 | − | 1.50934i | 0.134224 | − | 0.0555973i | |||||
0 | 0 | |||||||||
24.5091 | + | 24.5091i | 0.901581 | + | 0.901581i | 0.995573 | − | 0.0939921i | ||
−0.0939921 | + | 0.995573i | ||||||||
0 | 0 | |||||||||
−1.96633 | − | 4.74715i | −0.0722350 | − | 0.174391i | |||||
0 | 0 | |||||||||
7.96910 | − | 19.2391i | 0.292358 | − | 0.705815i | −0.707642 | − | 0.706571i | ||
1.00000 | 0.000756791i | |||||||||
0 | 0 | |||||||||
−11.0041 | − | 4.55806i | −0.403161 | − | 0.166995i | |||||
0 | 0 | |||||||||
−135.505 | −4.95789 | |||||||||
0 | 0 | |||||||||
26.2389 | 0.958747 | |||||||||
0 | 0 | |||||||||
−2.21753 | − | 0.918531i | −0.0809188 | − | 0.0335177i | 0.341857 | − | 0.939752i | ||
−0.422776 | + | 0.906234i | ||||||||
0 | 0 | |||||||||
−14.9550 | + | 36.1047i | −0.544992 | + | 1.31573i | |||||
0 | 0 | |||||||||
2.49251 | + | 6.01744i | 0.0907116 | + | 0.218997i | |||||
0 | 0 | |||||||||
−27.5968 | − | 27.5968i | −1.00302 | − | 1.00302i | −0.999995 | − | 0.00302702i | ||
−0.00302702 | − | 0.999995i | ||||||||
0 | 0 | |||||||||
−7.83938 | + | 3.24718i | −0.284551 | + | 0.117865i | |||||
0 | 0 | |||||||||
31.4500i | 1.14006i | 0.821624 | + | 0.570030i | ||||||
−0.821624 | + | 0.570030i | ||||||||
0 | 0 | |||||||||
20.2272 | − | 20.2272i | 0.732273 | − | 0.732273i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−15.8549 | + | 15.8549i | −0.572487 | + | 0.572487i | |||||
0 | 0 | |||||||||
− | 18.6056i | − | 0.670933i | −0.942052 | − | 0.335467i | ||||
0.942052 | − | 0.335467i | ||||||||
0 | 0 | |||||||||
58.3525 | − | 24.1704i | 2.10151 | − | 0.870475i | |||||
0 | 0 | |||||||||
−20.2272 | − | 20.2272i | −0.727521 | − | 0.727521i | 0.242604 | − | 0.970125i | ||
−0.970125 | + | 0.242604i | ||||||||
0 | 0 | |||||||||
6.98594 | + | 16.8655i | 0.250942 | + | 0.605828i | |||||
0 | 0 | |||||||||
−17.2190 | + | 41.5705i | −0.617730 | + | 1.49133i | |||||
0 | 0 | |||||||||
−0.791191 | − | 0.327722i | −0.0283474 | − | 0.0117419i | |||||
0 | 0 | |||||||||
1.76114 | 0.0630186 | |||||||||
0 | 0 | |||||||||
−34.0555 | −1.21704 | |||||||||
0 | 0 | |||||||||
−11.0041 | − | 4.55806i | −0.392755 | − | 0.162684i | |||||
0 | 0 | |||||||||
−7.96910 | + | 19.2391i | −0.284068 | + | 0.685800i | −0.999923 | − | 0.0124489i | ||
0.715855 | + | 0.698249i | ||||||||
0 | 0 | |||||||||
28.6984 | + | 69.2841i | 1.02169 | + | 2.46658i | |||||
0 | 0 | |||||||||
−31.2816 | − | 31.2816i | −1.11225 | − | 1.11225i | |||||
0 | 0 | |||||||||
−21.1446 | + | 8.75836i | −0.750865 | + | 0.311019i | |||||
0 | 0 | |||||||||
24.0000i | 0.851192i | |||||||||
0 | 0 | |||||||||
−2.56914 | + | 2.56914i | −0.0910035 | + | 0.0910035i | −0.751143 | − | 0.660140i | ||
0.660140 | + | 0.751143i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−42.0375 | + | 42.0375i | −1.48532 | + | 1.48532i | |||||
0 | 0 | |||||||||
4.23886i | 0.149586i | |||||||||
0 | 0 | |||||||||
−25.8917 | + | 10.7247i | −0.912563 | + | 0.377996i | |||||
0 | 0 | |||||||||
56.7374 | + | 56.7374i | 1.99725 | + | 1.99725i | |||||
0 | 0 | |||||||||
−11.2659 | − | 27.1983i | −0.396088 | − | 0.956240i | −0.988585 | − | 0.150667i | ||
0.592497 | − | 0.805573i | ||||||||
0 | 0 | |||||||||
5.80432 | − | 14.0129i | 0.203817 | − | 0.492058i | −0.788610 | − | 0.614894i | ||
0.992427 | + | 0.122836i | ||||||||
0 | 0 | |||||||||
−3.64387 | − | 1.50934i | −0.127796 | − | 0.0529349i | |||||
0 | 0 | |||||||||
−8.60555 | −0.301439 | |||||||||
0 | 0 | |||||||||
2.05551 | 0.0719133 | |||||||||
0 | 0 | |||||||||
−59.6228 | − | 24.6966i | −2.08339 | − | 0.862968i | |||||
0 | 0 | |||||||||
−6.93632 | + | 16.7458i | −0.242079 | + | 0.584431i | −0.997489 | − | 0.0708216i | ||
0.755410 | + | 0.655253i | ||||||||
0 | 0 | |||||||||
−6.98594 | − | 16.8655i | −0.243514 | − | 0.587896i | 0.754113 | − | 0.656745i | ||
−0.997627 | + | 0.0688493i | ||||||||
0 | 0 | |||||||||
−2.95807 | − | 2.95807i | −0.102987 | − | 0.102987i | |||||
0 | 0 | |||||||||
8.23497 | − | 3.41104i | 0.286358 | − | 0.118613i | −0.234881 | − | 0.972024i | ||
0.521239 | + | 0.853411i | ||||||||
0 | 0 | |||||||||
18.8444i | 0.654493i | 0.944939 | + | 0.327247i | ||||||
−0.944939 | + | 0.327247i | ||||||||
0 | 0 | |||||||||
−11.7419 | + | 11.7419i | −0.407322 | + | 0.407322i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
21.0836 | − | 21.0836i | 0.729627 | − | 0.729627i | |||||
0 | 0 | |||||||||
91.2666i | 3.15464i | |||||||||
0 | 0 | |||||||||
19.4787 | − | 8.06833i | 0.672478 | − | 0.278550i | −0.0202004 | − | 0.999796i | ||
0.692679 | + | 0.721246i | ||||||||
0 | 0 | |||||||||
16.8605 | + | 16.8605i | 0.581398 | + | 0.581398i | |||||
0 | 0 | |||||||||
−22.9587 | − | 55.4273i | −0.790741 | − | 1.90902i | |||||
0 | 0 | |||||||||
3.36142 | − | 8.11520i | 0.115637 | − | 0.279171i | |||||
0 | 0 | |||||||||
32.5443 | + | 13.4803i | 1.11824 | + | 0.463188i | |||||
0 | 0 | |||||||||
9.76114 | 0.335001 | |||||||||
0 | 0 | |||||||||
−25.8167 | −0.884983 | |||||||||
0 | 0 | |||||||||
−38.4420 | − | 15.9232i | −1.31623 | − | 0.545199i | −0.389532 | − | 0.921013i | ||
−0.926695 | + | 0.375813i | ||||||||
0 | 0 | |||||||||
2.49251 | − | 6.01744i | 0.0852419 | − | 0.205792i | |||||
0 | 0 | |||||||||
10.0843 | + | 24.3456i | 0.344472 | + | 0.831630i | 0.997252 | + | 0.0740819i | ||
−0.652780 | + | 0.757548i | ||||||||
0 | 0 | |||||||||
−1.28457 | − | 1.28457i | −0.0438289 | − | 0.0438289i | 0.684853 | − | 0.728682i | ||
−0.728682 | + | 0.684853i | ||||||||
0 | 0 | |||||||||
−13.8568 | + | 5.73968i | −0.472239 | + | 0.195608i | |||||
0 | 0 | |||||||||
52.4777i | 1.78636i | 0.449697 | + | 0.893181i | ||||||
−0.449697 | + | 0.893181i | ||||||||
0 | 0 | |||||||||
20.9539 | − | 20.9539i | 0.712454 | − | 0.712454i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0.129645 | − | 0.129645i | 0.00439792 | − | 0.00439792i | |||||
0 | 0 | |||||||||
24.0000i | 0.813209i | |||||||||
0 | 0 | |||||||||
−75.5774 | + | 31.3052i | −2.55791 | + | 1.05952i | |||||
0 | 0 | |||||||||
−26.0529 | − | 26.0529i | −0.880750 | − | 0.880750i | |||||
0 | 0 | |||||||||
0.968144 | + | 2.33731i | 0.0326919 | + | 0.0789253i | 0.939382 | − | 0.342872i | ||
−0.906690 | + | 0.421797i | ||||||||
0 | 0 | |||||||||
26.9606 | − | 65.0886i | 0.909358 | − | 2.19538i | |||||
0 | 0 | |||||||||
−31.6333 | − | 13.1030i | −1.06575 | − | 0.441450i | −0.220264 | − | 0.975440i | ||
−0.845490 | + | 0.533991i | ||||||||
0 | 0 | |||||||||
−25.5778 | −0.860761 | −0.430381 | − | 0.902647i | ||||||
−0.430381 | + | 0.902647i | ||||||||
0 | 0 | |||||||||
−39.6333 | −1.33226 | |||||||||
0 | 0 | |||||||||
15.2832 | + | 6.33049i | 0.513158 | + | 0.212557i | 0.624209 | − | 0.781258i | ||
−0.111050 | + | 0.993815i | ||||||||
0 | 0 | |||||||||
−0.754670 | + | 1.82194i | −0.0253108 | + | 0.0611057i | |||||
0 | 0 | |||||||||
−4.26493 | − | 10.2965i | −0.142881 | − | 0.344944i | |||||
0 | 0 | |||||||||
1.71276 | + | 1.71276i | 0.0573152 | + | 0.0573152i | |||||
0 | 0 | |||||||||
19.6347 | − | 8.13296i | 0.656316 | − | 0.271855i | |||||
0 | 0 | |||||||||
− | 51.6333i | − | 1.72399i | |||||||
0 | 0 | |||||||||
−9.76985 | + | 9.76985i | −0.325843 | + | 0.325843i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
25.4558 | − | 25.4558i | 0.847117 | − | 0.847117i | |||||
0 | 0 | |||||||||
26.0000i | 0.864269i | |||||||||
0 | 0 | |||||||||
−32.0652 | + | 13.2818i | −1.06471 | + | 0.441016i | −0.845120 | − | 0.534577i | ||
−0.219587 | + | 0.975593i | ||||||||
0 | 0 | |||||||||
−57.0360 | − | 57.0360i | −1.89176 | − | 1.89176i | |||||
0 | 0 | |||||||||
2.55714 | + | 6.17348i | 0.0847219 | + | 0.204537i | 0.960563 | − | 0.278063i | ||
−0.875841 | + | 0.482600i | ||||||||
0 | 0 | |||||||||
2.91945 | − | 7.04819i | 0.0966198 | − | 0.233261i | |||||
0 | 0 | |||||||||
−37.3750 | − | 15.4812i | −1.23558 | − | 0.511793i | |||||
0 | 0 | |||||||||
29.0278 | 0.958581 | |||||||||
0 | 0 | |||||||||
40.8444 | 1.34733 | 0.673666 | − | 0.739036i | ||||||
0.673666 | + | 0.739036i | ||||||||
0 | 0 | |||||||||
63.8183 | + | 26.4344i | 2.10288 | + | 0.871043i | |||||
0 | 0 | |||||||||
−4.10107 | + | 9.90087i | −0.134988 | + | 0.325891i | |||||
0 | 0 | |||||||||
−4.87076 | − | 11.7591i | −0.160150 | − | 0.386636i | |||||
0 | 0 | |||||||||
−71.0485 | − | 71.0485i | −2.33354 | − | 2.33354i | |||||
0 | 0 | |||||||||
1.30656 | − | 0.541196i | 0.0428669 | − | 0.0177561i | −0.361147 | − | 0.932509i | ||
0.404014 | + | 0.914753i | ||||||||
0 | 0 | |||||||||
2.18335i | 0.0715563i | |||||||||
0 | 0 | |||||||||
−61.5772 | + | 61.5772i | −2.01595 | + | 2.01595i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
4.54118 | − | 4.54118i | 0.148354 | − | 0.148354i | −0.629028 | − | 0.777382i | ||
0.777382 | + | 0.629028i | ||||||||
0 | 0 | |||||||||
− | 28.6056i | − | 0.933507i | |||||||
0 | 0 | |||||||||
20.9413 | − | 8.67416i | 0.682666 | − | 0.282770i | −0.0142749 | − | 0.999898i | ||
0.696941 | + | 0.717129i | ||||||||
0 | 0 | |||||||||
−6.08504 | − | 6.08504i | −0.198156 | − | 0.198156i | |||||
0 | 0 | |||||||||
−26.4344 | − | 63.8183i | −0.859911 | − | 2.07601i | |||||
0 | 0 | |||||||||
−5.01960 | + | 12.1184i | −0.163115 | + | 0.393795i | −0.984212 | − | 0.176994i | ||
0.821097 | + | 0.570789i | ||||||||
0 | 0 | |||||||||
−23.8302 | − | 9.87080i | −0.773562 | − | 0.320420i | |||||
0 | 0 | |||||||||
90.2944 | 2.92800 | |||||||||
0 | 0 | |||||||||
50.2389 | 1.62740 | 0.813698 | − | 0.581288i | ||||||
0.813698 | + | 0.581288i | ||||||||
0 | 0 | |||||||||
8.87012 | + | 3.67412i | 0.287030 | + | 0.118892i | |||||
0 | 0 | |||||||||
1.21166 | − | 2.92521i | 0.0391675 | − | 0.0945586i | |||||
0 | 0 | |||||||||
3.24718 | + | 7.83938i | 0.104857 | + | 0.253147i | |||||
0 | 0 | |||||||||
4.26227 | + | 4.26227i | 0.137492 | + | 0.137492i | |||||
0 | 0 | |||||||||
−56.6141 | + | 23.4503i | −1.82436 | + | 0.755676i | |||||
0 | 0 | |||||||||
− | 16.4222i | − | 0.528649i | |||||||
0 | 0 | |||||||||
−15.4267 | + | 15.4267i | −0.496089 | + | 0.496089i | −0.910218 | − | 0.414129i | ||
0.414129 | + | 0.910218i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
38.9105 | − | 38.9105i | 1.24870 | − | 1.24870i | 0.292402 | − | 0.956296i | ||
0.956296 | − | 0.292402i | ||||||||
0 | 0 | |||||||||
1.39445i | 0.0447040i | |||||||||
0 | 0 | |||||||||
23.5181 | − | 9.74153i | 0.753183 | − | 0.311979i | |||||
0 | 0 | |||||||||
11.9108 | + | 11.9108i | 0.381060 | + | 0.381060i | 0.871484 | − | 0.490424i | ||
−0.490424 | + | 0.871484i | ||||||||
0 | 0 | |||||||||
−1.28084 | − | 3.09223i | −0.0409360 | − | 0.0988282i | |||||
0 | 0 | |||||||||
−25.5655 | + | 61.7205i | −0.816243 | + | 1.97059i | |||||
0 | 0 | |||||||||
10.6085 | + | 4.39420i | 0.338360 | + | 0.140153i | 0.545393 | − | 0.838181i | ||
−0.207033 | + | 0.978334i | ||||||||
0 | 0 | |||||||||
−35.2111 | −1.12192 | |||||||||
0 | 0 | |||||||||
42.4222 | 1.35031 | |||||||||
0 | 0 | |||||||||
19.0831 | + | 7.90447i | 0.606806 | + | 0.251347i | |||||
0 | 0 | |||||||||
12.7256 | − | 30.7224i | 0.404243 | − | 0.975928i | −0.582381 | − | 0.812916i | ||
0.986624 | − | 0.163012i | ||||||||
0 | 0 | |||||||||
−4.23034 | − | 10.2130i | −0.134246 | − | 0.324098i | |||||
0 | 0 | |||||||||
14.3110 | + | 14.3110i | 0.453690 | + | 0.453690i | |||||
0 | 0 | |||||||||
51.2680 | − | 21.2359i | 1.62368 | − | 0.672548i | 0.629173 | − | 0.777265i | ||
0.994502 | + | 0.104717i | ||||||||
0 | 0 | |||||||||
− | 63.6333i | − | 2.01327i |