Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [224,2,Mod(47,224)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(224, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("224.47");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 224.q (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: | 12.0.144054149089536.2 |
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 56) |
Sato-Tate group: |
Embedding invariants
Embedding label | 143.3 | ||
Root | of defining polynomial | ||
Character | 224.143 | ||
Dual form | 224.2.q.a.47.3 |
-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 .
0 | 0 | |||||||||
0.416472 | + | 0.240450i | 0.240450 | + | 0.138824i | 0.615384 | − | 0.788228i | ||
−0.374933 | + | 0.927052i | ||||||||
0 | 0 | |||||||||
−1.59713 | − | 2.76632i | −0.714260 | − | 1.23714i | −0.963244 | − | 0.268628i | ||
0.248984 | − | 0.968508i | ||||||||
0 | 0 | |||||||||
0.694153 | − | 2.55307i | 0.262365 | − | 0.964969i | |||||
0 | 0 | |||||||||
−1.38437 | − | 2.39779i | −0.461456 | − | 0.799265i | |||||
0 | 0 | |||||||||
−0.800840 | + | 1.38709i | −0.241462 | + | 0.418225i | −0.961131 | − | 0.276093i | ||
0.719669 | + | 0.694318i | ||||||||
0 | 0 | |||||||||
1.38831 | 0.385047 | 0.192523 | − | 0.981292i | ||||||
0.192523 | + | 0.981292i | ||||||||
0 | 0 | |||||||||
− | 1.53613i | − | 0.396626i | |||||||
0 | 0 | |||||||||
3.48605 | + | 2.01267i | 0.845490 | + | 0.488144i | 0.859127 | − | 0.511763i | ||
−0.0136363 | + | 0.999907i | ||||||||
0 | 0 | |||||||||
4.56957 | − | 2.63824i | 1.04833 | − | 0.605255i | 0.126150 | − | 0.992011i | ||
0.922182 | + | 0.386756i | ||||||||
0 | 0 | |||||||||
0.902982 | − | 0.896373i | 0.197047 | − | 0.195605i | |||||
0 | 0 | |||||||||
−3.83044 | + | 2.21151i | −0.798702 | + | 0.461131i | −0.843017 | − | 0.537887i | ||
0.0443149 | + | 0.999018i | ||||||||
0 | 0 | |||||||||
−2.60168 | + | 4.50624i | −0.520336 | + | 0.901248i | |||||
0 | 0 | |||||||||
− | 2.77419i | − | 0.533893i | |||||||
0 | 0 | |||||||||
5.10613i | 0.948185i | 0.880475 | + | 0.474093i | ||||||
−0.880475 | + | 0.474093i | ||||||||
0 | 0 | |||||||||
−0.0579809 | + | 0.100426i | −0.0104137 | + | 0.0180370i | −0.871185 | − | 0.490954i | ||
0.860772 | + | 0.508991i | ||||||||
0 | 0 | |||||||||
−0.667055 | + | 0.385124i | −0.116119 | + | 0.0670416i | |||||
0 | 0 | |||||||||
−8.17125 | + | 2.15734i | −1.38119 | + | 0.364658i | |||||
0 | 0 | |||||||||
4.63087 | − | 2.67363i | 0.761310 | − | 0.439543i | −0.0684556 | − | 0.997654i | ||
0.829766 | + | 0.558111i | ||||||||
0 | 0 | |||||||||
0.578191 | + | 0.333819i | 0.0925847 | + | 0.0534538i | |||||
0 | 0 | |||||||||
− | 4.21689i | − | 0.658568i | −0.944231 | − | 0.329284i | ||||
0.944231 | − | 0.329284i | ||||||||
0 | 0 | |||||||||
0 | 0 | − | 1.00000i | |||||||
1.00000i | ||||||||||
0 | 0 | |||||||||
−4.42204 | + | 7.65920i | −0.659199 | + | 1.14177i | |||||
0 | 0 | |||||||||
5.05821 | + | 8.76108i | 0.737816 | + | 1.27794i | 0.953477 | + | 0.301467i | ||
−0.215660 | + | 0.976468i | ||||||||
0 | 0 | |||||||||
−6.03630 | − | 3.54444i | −0.862329 | − | 0.506348i | |||||
0 | 0 | |||||||||
0.967895 | + | 1.67644i | 0.135532 | + | 0.234749i | |||||
0 | 0 | |||||||||
−6.13514 | − | 3.54212i | −0.842726 | − | 0.486548i | 0.0154638 | − | 0.999880i | ||
−0.858190 | + | 0.513332i | ||||||||
0 | 0 | |||||||||
5.11619 | 0.689868 | |||||||||
0 | 0 | |||||||||
2.53747 | 0.336096 | |||||||||
0 | 0 | |||||||||
4.38856 | + | 2.53374i | 0.571342 | + | 0.329865i | 0.757685 | − | 0.652620i | ||
−0.186343 | + | 0.982485i | ||||||||
0 | 0 | |||||||||
4.21321 | + | 7.29750i | 0.539447 | + | 0.934349i | 0.998934 | + | 0.0461646i | ||
−0.459487 | + | 0.888184i | ||||||||
0 | 0 | |||||||||
−7.08269 | + | 1.86995i | −0.892335 | + | 0.235591i | |||||
0 | 0 | |||||||||
−2.21731 | − | 3.84050i | −0.275024 | − | 0.476355i | |||||
0 | 0 | |||||||||
−5.01815 | + | 8.69169i | −0.613065 | + | 1.06186i | 0.377656 | + | 0.925946i | ||
−0.990721 | + | 0.135913i | ||||||||
0 | 0 | |||||||||
−2.12703 | −0.256064 | |||||||||
0 | 0 | |||||||||
5.29150i | 0.627986i | 0.949425 | + | 0.313993i | ||||||
−0.949425 | + | 0.313993i | ||||||||
0 | 0 | |||||||||
9.30504 | + | 5.37227i | 1.08907 | + | 0.628776i | 0.933329 | − | 0.359021i | ||
0.155743 | + | 0.987798i | ||||||||
0 | 0 | |||||||||
−2.16706 | + | 1.25115i | −0.250230 | + | 0.144470i | |||||
0 | 0 | |||||||||
2.98544 | + | 3.00745i | 0.340223 | + | 0.342731i | |||||
0 | 0 | |||||||||
10.3349 | − | 5.96688i | 1.16277 | − | 0.671327i | 0.210805 | − | 0.977528i | ||
0.951967 | + | 0.306201i | ||||||||
0 | 0 | |||||||||
−3.48605 | + | 6.03801i | −0.387338 | + | 0.670890i | |||||
0 | 0 | |||||||||
− | 14.9789i | − | 1.64415i | −0.569382 | − | 0.822073i | ||||
0.569382 | − | 0.822073i | ||||||||
0 | 0 | |||||||||
− | 12.8580i | − | 1.39465i | |||||||
0 | 0 | |||||||||
−1.22777 | + | 2.12656i | −0.131631 | + | 0.227992i | |||||
0 | 0 | |||||||||
1.50000 | − | 0.866025i | 0.159000 | − | 0.0917985i | −0.418389 | − | 0.908268i | ||
0.577389 | + | 0.816469i | ||||||||
0 | 0 | |||||||||
0.963697 | − | 3.54444i | 0.101023 | − | 0.371558i | |||||
0 | 0 | |||||||||
−0.0482949 | + | 0.0278831i | −0.00500795 | + | 0.00289134i | |||||
0 | 0 | |||||||||
−14.5965 | − | 8.42726i | −1.49756 | − | 0.864619i | |||||
0 | 0 | |||||||||
− | 2.87198i | − | 0.291606i | −0.989314 | − | 0.145803i | ||||
0.989314 | − | 0.145803i | ||||||||
0 | 0 | |||||||||
4.43462 | 0.445696 | |||||||||
0 | 0 | |||||||||
3.40310 | − | 5.89434i | 0.338621 | − | 0.586509i | −0.645553 | − | 0.763716i | ||
0.984174 | + | 0.177207i | ||||||||
0 | 0 | |||||||||
−7.02471 | − | 12.1672i | −0.692165 | − | 1.19887i | −0.971127 | − | 0.238563i | ||
0.278962 | − | 0.960302i | ||||||||
0 | 0 | |||||||||
−3.92184 | − | 1.06631i | −0.382732 | − | 0.104061i | |||||
0 | 0 | |||||||||
−2.56957 | − | 4.45063i | −0.248410 | − | 0.430259i | 0.714675 | − | 0.699457i | ||
−0.963085 | + | 0.269198i | ||||||||
0 | 0 | |||||||||
2.45182 | + | 1.41556i | 0.234842 | + | 0.135586i | 0.612804 | − | 0.790235i | ||
−0.377962 | + | 0.925821i | ||||||||
0 | 0 | |||||||||
2.57151 | 0.244077 | |||||||||
0 | 0 | |||||||||
−1.43695 | −0.135177 | −0.0675887 | − | 0.997713i | ||||||
−0.0675887 | + | 0.997713i | ||||||||
0 | 0 | |||||||||
12.2355 | + | 7.06415i | 1.14096 | + | 0.658735i | |||||
0 | 0 | |||||||||
−1.92193 | − | 3.32887i | −0.177682 | − | 0.307754i | |||||
0 | 0 | |||||||||
7.55833 | − | 7.50301i | 0.692871 | − | 0.687800i | |||||
0 | 0 | |||||||||
4.21731 | + | 7.30460i | 0.383392 | + | 0.664054i | |||||
0 | 0 | |||||||||
1.01395 | − | 1.75622i | 0.0914251 | − | 0.158353i | |||||
0 | 0 | |||||||||
0.649581 | 0.0581003 | |||||||||
0 | 0 | |||||||||
− | 4.92077i | − | 0.436647i | −0.975876 | − | 0.218324i | ||||
0.975876 | − | 0.218324i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
3.41647 | − | 1.97250i | 0.298499 | − | 0.172338i | −0.343270 | − | 0.939237i | ||
0.641768 | + | 0.766899i | ||||||||
0 | 0 | |||||||||
−3.56363 | − | 13.4978i | −0.309006 | − | 1.17041i | |||||
0 | 0 | |||||||||
−7.67429 | + | 4.43075i | −0.660498 | + | 0.381339i | |||||
0 | 0 | |||||||||
0.0514223 | − | 0.0890661i | 0.00439331 | − | 0.00760943i | −0.863820 | − | 0.503800i | ||
0.868214 | + | 0.496190i | ||||||||
0 | 0 | |||||||||
14.9789i | 1.27049i | 0.772310 | + | 0.635246i | ||||||
−0.772310 | + | 0.635246i | ||||||||
0 | 0 | |||||||||
4.86500i | 0.409707i | |||||||||
0 | 0 | |||||||||
−1.11181 | + | 1.92571i | −0.0929743 | + | 0.161036i | |||||
0 | 0 | |||||||||
14.1252 | − | 8.15518i | 1.17303 | − | 0.677251i | |||||
0 | 0 | |||||||||
−1.66169 | − | 2.92759i | −0.137054 | − | 0.241464i | |||||
0 | 0 | |||||||||
−9.79164 | + | 5.65320i | −0.802162 | + | 0.463129i | −0.844227 | − | 0.535986i | ||
0.0420645 | + | 0.999115i | ||||||||
0 | 0 | |||||||||
12.8351 | + | 7.41032i | 1.04450 | + | 0.603044i | 0.921105 | − | 0.389314i | ||
0.123397 | + | 0.992357i | ||||||||
0 | 0 | |||||||||
− | 11.1451i | − | 0.901028i | |||||||
0 | 0 | |||||||||
0.370413 | 0.0297523 | |||||||||
0 | 0 | |||||||||
0.369362 | − | 0.639755i | 0.0294783 | − | 0.0510580i | −0.850910 | − | 0.525312i | ||
0.880388 | + | 0.474254i | ||||||||
0 | 0 | |||||||||
−1.70341 | − | 2.95039i | −0.135089 | − | 0.233981i | |||||
0 | 0 | |||||||||
2.98721 | + | 11.3145i | 0.235425 | + | 0.891707i | |||||
0 | 0 | |||||||||
−4.35226 | − | 7.53834i | −0.340895 | − | 0.590448i | 0.643704 | − | 0.765275i | ||
−0.984599 | + | 0.174826i | ||||||||
0 | 0 | |||||||||
2.13075 | + | 1.23019i | 0.165879 | + | 0.0957703i | |||||
0 | 0 | |||||||||
−1.38831 | −0.107430 | −0.0537152 | − | 0.998556i | ||||||
−0.0537152 | + | 0.998556i | ||||||||
0 | 0 | |||||||||
−11.0726 | −0.851739 | |||||||||
0 | 0 | |||||||||
−12.6519 | − | 7.30460i | −0.967518 | − | 0.558597i | |||||
0 | 0 | |||||||||
−0.485324 | − | 0.840606i | −0.0368985 | − | 0.0639101i | 0.846986 | − | 0.531615i | ||
−0.883885 | + | 0.467704i | ||||||||
0 | 0 | |||||||||
9.69877 | + | 9.77028i | 0.733158 | + | 0.738564i | |||||
0 | 0 | |||||||||
1.21848 | + | 2.11046i | 0.0915864 | + | 0.158632i | |||||
0 | 0 | |||||||||
−7.13495 | + | 12.3581i | −0.533291 | + | 0.923687i | 0.465953 | + | 0.884810i | ||
−0.999244 | + | 0.0388779i | ||||||||
0 | 0 | |||||||||
15.3218 | 1.13886 | 0.569429 | − | 0.822041i | ||||||
0.569429 | + | 0.822041i | ||||||||
0 | 0 | |||||||||
4.05228i | 0.299553i | |||||||||
0 | 0 | |||||||||
−14.7922 | − | 8.54031i | −1.08755 | − | 0.627896i | |||||
0 | 0 | |||||||||
−5.58353 | + | 3.22365i | −0.408308 | + | 0.235737i | |||||
0 | 0 | |||||||||
−7.08269 | − | 1.92571i | −0.515190 | − | 0.140075i | |||||
0 | 0 | |||||||||
2.16564 | − | 1.25033i | 0.156700 | − | 0.0904709i | −0.419599 | − | 0.907709i | ||
0.576300 | + | 0.817238i | ||||||||
0 | 0 | |||||||||
1.55026 | − | 2.68512i | 0.111590 | − | 0.193279i | −0.804822 | − | 0.593517i | ||
0.916411 | + | 0.400237i | ||||||||
0 | 0 | |||||||||
− | 2.13261i | − | 0.152720i | |||||||
0 | 0 | |||||||||
15.6891i | 1.11780i | 0.829233 | + | 0.558902i | ||||||
−0.829233 | + | 0.558902i | ||||||||
0 | 0 | |||||||||
−5.91290 | + | 10.2414i | −0.419154 | + | 0.725997i | −0.995855 | − | 0.0909591i | ||
0.576700 | + | 0.816956i | ||||||||
0 | 0 | |||||||||
−4.17984 | + | 2.41323i | −0.294823 | + | 0.170216i | |||||
0 | 0 | |||||||||
13.0363 | + | 3.54444i | 0.914969 | + | 0.248771i | |||||
0 | 0 | |||||||||
−11.6653 | + | 6.73495i | −0.814738 | + | 0.470389i | |||||
0 | 0 | |||||||||
10.6055 | + | 6.12307i | 0.737131 | + | 0.425583i | |||||
0 | 0 | |||||||||
8.45124i | 0.584585i | |||||||||
0 | 0 | |||||||||
−10.0726 | −0.693427 | −0.346713 | − | 0.937971i | ||||||
−0.346713 | + | 0.937971i | ||||||||
0 | 0 | |||||||||
−1.27234 | + | 2.20376i | −0.0871796 | + | 0.150999i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0.216146 | + | 0.217740i | 0.0146730 | + | 0.0147812i | |||||
0 | 0 | |||||||||
2.58353 | + | 4.47480i | 0.174579 | + | 0.302379i | |||||
0 | 0 | |||||||||
4.83970 | + | 2.79420i | 0.325553 | + | 0.187958i | |||||
0 | 0 | |||||||||
−24.3086 | −1.62783 | −0.813913 | − | 0.580987i | ||||||
−0.813913 | + | 0.580987i | ||||||||
0 | 0 | |||||||||
14.4067 | 0.960448 | |||||||||
0 | 0 | |||||||||
12.4048 | + | 7.16194i | 0.823339 | + | 0.475355i | 0.851566 | − | 0.524247i | ||
−0.0282277 | + | 0.999602i | ||||||||
0 | 0 | |||||||||
5.32502 | + | 9.22321i | 0.351887 | + | 0.609487i | 0.986580 | − | 0.163278i | ||
−0.634693 | + | 0.772765i | ||||||||
0 | 0 | |||||||||
0.520210 | + | 1.97037i | 0.0342273 | + | 0.129641i | |||||
0 | 0 | |||||||||
0.318991 | + | 0.552509i | 0.0208978 | + | 0.0361961i | 0.876285 | − | 0.481793i | ||
−0.855387 | + | 0.517989i | ||||||||
0 | 0 | |||||||||
16.1573 | − | 27.9853i | 1.05399 | − | 1.82556i | |||||
0 | 0 | |||||||||
5.73896 | 0.372785 | |||||||||
0 | 0 | |||||||||
4.73540i | 0.306307i | 0.988202 | + | 0.153154i | ||||||
−0.988202 | + | 0.153154i | ||||||||
0 | 0 | |||||||||
−10.1380 | − | 5.85317i | −0.653045 | − | 0.377036i | 0.136577 | − | 0.990629i | ||
−0.789622 | + | 0.613594i | ||||||||
0 | 0 | |||||||||
−10.1112 | + | 5.83773i | −0.648636 | + | 0.374490i | |||||
0 | 0 | |||||||||
−0.164257 | + | 22.3593i | −0.0104940 | + | 1.42848i | |||||
0 | 0 | |||||||||
6.34397 | − | 3.66269i | 0.403657 | − | 0.233051i | |||||
0 | 0 | |||||||||
3.60168 | − | 6.23829i | 0.228247 | − | 0.395336i | |||||
0 | 0 | |||||||||
11.5631i | 0.729858i | 0.931035 | + | 0.364929i | ||||||
−0.931035 | + | 0.364929i | ||||||||
0 | 0 | |||||||||
− | 7.08425i | − | 0.445383i | |||||||
0 | 0 | |||||||||
3.09172 | − | 5.35501i | 0.193611 | − | 0.335344i | |||||
0 | 0 | |||||||||
−20.4302 | + | 11.7954i | −1.27440 | + | 0.735777i | −0.975813 | − | 0.218605i | ||
−0.298589 | + | 0.954382i | ||||||||
0 | 0 | |||||||||
−3.61144 | − | 13.6788i | −0.224404 | − | 0.849961i | |||||
0 | 0 | |||||||||
12.2435 | − | 7.06876i | 0.757851 | − | 0.437546i | |||||
0 | 0 | |||||||||
−9.24833 | − | 5.33953i | −0.570277 | − | 0.329249i | 0.186983 | − | 0.982363i | ||
−0.757260 | + | 0.653114i | ||||||||
0 | 0 | |||||||||
22.6290i | 1.39009i | |||||||||
0 | 0 | |||||||||
0.832945 | 0.0509754 | |||||||||
0 | 0 | |||||||||
11.6690 | − | 20.2113i | 0.711471 | − | 1.23230i | −0.252834 | − | 0.967510i | ||
0.964305 | − | 0.264794i | ||||||||
0 | 0 | |||||||||
6.81961 | + | 11.8119i | 0.414262 | + | 0.717522i | 0.995351 | − | 0.0963179i | ||
−0.581089 | + | 0.813840i | ||||||||
0 | 0 | |||||||||
1.25362 | − | 1.24444i | 0.0758722 | − | 0.0753169i | |||||
0 | 0 | |||||||||
−4.16706 | − | 7.21755i | −0.251283 | − | 0.435235i | |||||
0 | 0 | |||||||||
0.396180 | + | 0.228735i | 0.0238042 | + | 0.0137433i | 0.511855 | − | 0.859072i | ||
−0.488051 | + | 0.872815i | ||||||||
0 | 0 | |||||||||
0.321068 | 0.0192218 | |||||||||
0 | 0 | |||||||||
1.43695 | 0.0857215 | 0.0428608 | − | 0.999081i | ||||||
0.0428608 | + | 0.999081i | ||||||||
0 | 0 | |||||||||
−27.0428 | − | 15.6132i | −1.60753 | − | 0.928108i | −0.989921 | − | 0.141622i | ||
−0.617609 | − | 0.786486i | ||||||||
0 | 0 | |||||||||
−4.05268 | − | 7.01945i | −0.240060 | − | 0.415796i | |||||
0 | 0 | |||||||||
−10.7660 | − | 2.92717i | −0.635497 | − | 0.172785i | |||||
0 | 0 | |||||||||
−0.398321 | − | 0.689912i | −0.0234306 | − | 0.0405831i | |||||
0 | 0 | |||||||||
0.690570 | − | 1.19610i | 0.0404819 | − | 0.0701168i | |||||
0 | 0 | |||||||||
−31.3006 | −1.82860 | −0.914299 | − | 0.405040i | ||||||
−0.914299 | + | 0.405040i | ||||||||
0 | 0 | |||||||||
− | 16.1869i | − | 0.942437i | |||||||
0 | 0 | |||||||||
3.84806 | + | 2.22168i | 0.223287 | + | 0.128915i | |||||
0 | 0 | |||||||||
−5.31783 | + | 3.07025i | −0.307538 | + | 0.177557i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
2.83459 | − | 1.63655i | 0.162843 | − | 0.0940175i | |||||
0 | 0 | |||||||||
13.4581 | − | 23.3102i | 0.770611 | − | 1.33474i | |||||
0 | 0 | |||||||||
14.7215i | 0.840202i | 0.907477 | + | 0.420101i | ||||||
−0.907477 | + | 0.420101i | ||||||||
0 | 0 | |||||||||
− | 6.75638i | − | 0.384357i | |||||||
0 | 0 | |||||||||
7.79025 | − | 13.4931i | 0.441745 | − | 0.765124i | −0.556074 | − | 0.831133i | ||
0.997819 | + | 0.0660082i | ||||||||
0 | 0 | |||||||||
11.3329 | − | 6.54308i | 0.640576 | − | 0.369837i | −0.144260 | − | 0.989540i | ||
0.784836 | + | 0.619703i | ||||||||
0 | 0 | |||||||||
16.4849 | + | 16.6064i | 0.928818 | + | 0.935666i | |||||
0 | 0 | |||||||||
20.3971 | − | 11.7763i | 1.14562 | − | 0.661422i | 0.197801 | − | 0.980242i | ||
0.947815 | + | 0.318821i | ||||||||
0 | 0 | |||||||||
−7.08269 | − | 4.08919i | −0.396555 | − | 0.228951i | |||||
0 | 0 | |||||||||
− | 2.47142i | − | 0.137941i | |||||||
0 | 0 | |||||||||
21.2397 | 1.18181 | |||||||||
0 | 0 | |||||||||
−3.61193 | + | 6.25604i | −0.200354 | + | 0.347023i | |||||
0 | 0 | |||||||||
0.680744 | + | 1.17908i | 0.0376452 | + | 0.0652035i | |||||
0 | 0 | |||||||||
25.8788 | − | 6.83243i | 1.42674 | − | 0.376684i | |||||
0 | 0 | |||||||||
16.5277 | + | 28.6268i | 0.908445 | + | 1.57347i | 0.816225 | + | 0.577735i | ||
0.0922207 | + | 0.995739i | ||||||||
0 | 0 | |||||||||
−12.8217 | − | 7.40258i | −0.702622 | − | 0.405659i | |||||
0 | 0 | |||||||||
32.0587 | 1.75155 | |||||||||
0 | 0 | |||||||||
−15.5096 | −0.844860 | −0.422430 | − | 0.906396i | ||||||
−0.422430 | + | 0.906396i | ||||||||
0 | 0 | |||||||||
−0.598452 | − | 0.345516i | −0.0325035 | − | 0.0187659i | |||||
0 | 0 | |||||||||
−0.0928668 | − | 0.160850i | −0.00502902 | − | 0.00871052i | |||||
0 | 0 | |||||||||
−13.2393 | + | 12.9507i | −0.714855 | + | 0.699272i | |||||
0 | 0 | |||||||||
3.39716 | + | 5.88405i | 0.182897 | + | 0.316786i | |||||
0 | 0 | |||||||||
11.2494 | − | 19.4846i | 0.603900 | − | 1.04599i | −0.388324 | − | 0.921523i | ||
0.992224 | − | 0.124463i | ||||||||
0 | 0 | |||||||||
−28.4735 | −1.52415 | −0.762077 | − | 0.647486i | ||||||
−0.762077 | + | 0.647486i | ||||||||
0 | 0 | |||||||||
− | 3.85142i | − | 0.205574i | |||||||
0 | 0 | |||||||||
−8.29108 | − | 4.78686i | −0.441290 | − | 0.254779i | 0.262855 | − | 0.964835i | ||
−0.704145 | + | 0.710057i | ||||||||
0 | 0 | |||||||||
14.6380 | − | 8.45124i | 0.776903 | − | 0.448545i | |||||
0 | 0 | |||||||||
4.95194 | − | 1.30739i | 0.262084 | − | 0.0691945i | |||||
0 | 0 | |||||||||
3.25225 | − | 1.87769i | 0.171647 | − | 0.0991006i | −0.411715 | − | 0.911313i | ||
0.583362 | + | 0.812212i | ||||||||
0 | 0 | |||||||||
4.42067 | − | 7.65683i | 0.232667 | − | 0.402991i | |||||
0 | 0 | |||||||||
4.05622i | 0.212896i | |||||||||
0 | 0 | |||||||||
− | 34.3209i | − | 1.79644i | |||||||
0 | 0 | |||||||||
8.41302 | − | 14.5718i | 0.439156 | − | 0.760640i | −0.558469 | − | 0.829526i | ||
0.997625 | + | 0.0688852i | ||||||||
0 | 0 | |||||||||
−10.1112 | + | 5.83773i | −0.526370 | + | 0.303900i | |||||
0 | 0 | |||||||||
−13.3020 | + | 13.2046i | −0.690606 | + | 0.685551i | |||||
0 | 0 | |||||||||
−11.1354 | + | 6.42901i | −0.576568 | + | 0.332882i | −0.759768 | − | 0.650194i | ||
0.183200 | + | 0.983076i | ||||||||
0 | 0 | |||||||||
0.270533 | + | 0.156192i | 0.0139702 | + | 0.00806572i | |||||
0 | 0 | |||||||||
7.08888i | 0.365096i | |||||||||
0 | 0 | |||||||||
−25.5822 | −1.31407 | −0.657034 | − | 0.753861i | ||||||
−0.657034 | + | 0.753861i | ||||||||
0 | 0 | |||||||||
1.18320 | − | 2.04936i | 0.0606172 | − | 0.104992i | |||||
0 | 0 | |||||||||
−13.4846 | − | 23.3561i | −0.689033 | − | 1.19344i | −0.972151 | − | 0.234355i | ||
0.283118 | − | 0.959085i | ||||||||
0 | 0 | |||||||||
3.55142 | − | 13.0620i | 0.180997 | − | 0.665701i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
27.7043 | + | 15.9951i | 1.40466 | + | 0.810983i | 0.994867 | − | 0.101195i | ||
0.409796 | + | 0.912177i | ||||||||
0 | 0 | |||||||||
−17.8041 | −0.900394 | |||||||||
0 | 0 | |||||||||
1.89716 | 0.0956988 | |||||||||
0 | 0 | |||||||||
−33.0126 | − | 19.0598i | −1.66104 | − | 0.959004i | |||||
0 | 0 | |||||||||
−8.51929 | − | 14.7558i | −0.427571 | − | 0.740575i | 0.569086 | − | 0.822278i | ||
−0.996657 | + | 0.0817035i | ||||||||
0 | 0 | |||||||||
1.76139 | − | 6.47833i | 0.0881799 | − | 0.324322i | |||||
0 | 0 | |||||||||
2.94858 | + | 5.10709i | 0.147245 | + | 0.255036i | 0.930208 | − | 0.367032i | ||
−0.782963 | + | 0.622068i | ||||||||
0 | 0 | |||||||||
−0.0804953 | + | 0.139422i | −0.00400976 | + | 0.00694510i | |||||
0 | 0 | |||||||||
22.2707 | 1.10664 | |||||||||
0 | 0 | |||||||||
8.56461i | 0.424532i | |||||||||
0 | 0 | |||||||||
−0.207751 | − | 0.119945i | −0.0102726 | − | 0.00593090i | 0.494855 | − | 0.868976i | ||
−0.505128 | + | 0.863045i | ||||||||
0 | 0 | |||||||||
0.0428320 | − | 0.0247290i | 0.00211274 | − | 0.00121979i | |||||
0 | 0 | |||||||||
9.51514 | − | 9.44550i | 0.468210 | − | 0.464783i | |||||
0 | 0 | |||||||||
−41.4364 | + | 23.9233i | −2.03403 | + | 1.17435i | |||||
0 | 0 | |||||||||
−3.60168 | + | 6.23829i | −0.176375 | + | 0.305490i | |||||
0 | 0 | |||||||||
− | 29.4140i | − | 1.43697i | −0.695544 | − | 0.718484i | ||||
0.695544 | − | 0.718484i | ||||||||
0 | 0 | |||||||||
32.1265i | 1.56575i | 0.622180 | + | 0.782874i | ||||||
−0.622180 | + | 0.782874i | ||||||||
0 | 0 | |||||||||
14.0049 | − | 24.2571i | 0.680939 | − | 1.17942i | |||||
0 | 0 | |||||||||
−18.1391 | + | 10.4726i | −0.879878 | + | 0.507998i | |||||
0 | 0 | |||||||||
21.5556 | − | 5.69103i | 1.04315 | − | 0.275408i | |||||
0 | 0 | |||||||||
−0.926077 | + | 0.534671i | −0.0447114 | + | 0.0258141i | |||||
0 | 0 | |||||||||
32.7662 | + | 18.9176i | 1.57829 | + | 0.911228i | 0.995098 | + | 0.0988962i | ||
0.583196 | + | 0.812332i | ||||||||
0 | 0 | |||||||||
25.4835i | 1.22466i | 0.790602 | + | 0.612330i | ||||||
−0.790602 | + | 0.612330i | ||||||||
0 | 0 | |||||||||
7.84367 | 0.376075 | |||||||||
0 | 0 | |||||||||
−11.6690 | + | 20.2113i | −0.558204 | + | 0.966837i | |||||
0 | 0 | |||||||||
11.9804 | + | 20.7506i | 0.571792 | + | 0.990373i | 0.996382 | + | 0.0849871i | ||
−0.424590 | + | 0.905386i | ||||||||
0 | 0 | |||||||||
−0.142375 | + | 19.3806i | −0.00677975 | + | 0.922887i | |||||
0 | 0 | |||||||||
5.13495 | + | 8.89399i | 0.243969 | + | 0.422566i | 0.961841 | − | 0.273608i | ||
−0.717872 | + | 0.696175i | ||||||||
0 | 0 | |||||||||
−4.79140 | − | 2.76632i | −0.227134 | − | 0.131136i | |||||
0 | 0 | |||||||||
−5.43726 | −0.257174 | |||||||||
0 | 0 | |||||||||
11.5096 | 0.543170 | 0.271585 | − | 0.962414i | ||||||
0.271585 | + | 0.962414i | ||||||||
0 | 0 | |||||||||
5.84923 | + | 3.37705i | 0.275429 | + | 0.159019i | |||||
0 | 0 | |||||||||
3.56363 | + | 6.17239i | 0.167434 | + | 0.290004i | |||||
0 | 0 | |||||||||
−11.3442 | + | 2.99505i | −0.531824 | + | 0.140410i | |||||
0 | 0 | |||||||||
−15.3050 | − | 26.5091i | −0.715939 | − | 1.24004i | −0.962596 | − | 0.270941i | ||
0.246657 | − | 0.969103i | ||||||||
0 | 0 | |||||||||
5.58353 | − | 9.67095i | 0.260617 | − | 0.451401i | |||||
0 | 0 | |||||||||
17.3671 | 0.808866 | 0.404433 | − | 0.914568i | ||||||
0.404433 | + | 0.914568i | ||||||||
0 | 0 | |||||||||
21.7288i | 1.00983i | 0.863171 | + | 0.504913i | ||||||
−0.863171 | + | 0.504913i | ||||||||
0 | 0 | |||||||||
0.154267 | + | 0.0890661i | 0.00715396 | + | 0.00413034i | |||||
0 | 0 | |||||||||
0.585859 | − | 0.338246i | 0.0271103 | − | 0.0156521i | −0.486384 | − | 0.873745i | ||
0.513494 | + | 0.858093i | ||||||||
0 | 0 | |||||||||
18.7071 | + | 18.8450i | 0.863814 | + | 0.870183i | |||||
0 | 0 | |||||||||
0.307659 | − | 0.177627i | 0.0141762 | − | 0.00818461i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
27.4555i | 1.25974i | |||||||||
0 | 0 | |||||||||
19.6144i | 0.898082i | |||||||||
0 | 0 | |||||||||
−14.3839 | + | 24.9136i | −0.657217 | + | 1.13833i | 0.324116 | + | 0.946017i | ||
−0.981333 | + | 0.192316i | ||||||||
0 | 0 | |||||||||
6.42907 | − | 3.71182i | 0.293140 | − | 0.169245i | |||||
0 | 0 | |||||||||
−1.47649 | + | 5.43045i | −0.0671824 | + | 0.247094i | |||||
0 | 0 | |||||||||
−7.94483 | + | 4.58695i | −0.360756 | + | 0.208283i | |||||
0 | 0 | |||||||||
1.58745 | + | 0.916514i | 0.0719342 | + | 0.0415312i | 0.535536 | − | 0.844513i | ||
−0.463602 | + | 0.886044i | ||||||||
0 | 0 | |||||||||
− | 4.18601i | − | 0.189298i | |||||||
0 | 0 | |||||||||
−13.4370 | −0.606401 | −0.303201 | − | 0.952927i | ||||||
−0.303201 | + | 0.952927i | ||||||||
0 | 0 | |||||||||
−10.2770 | + | 17.8002i | −0.462851 | + | 0.801682i | |||||
0 | 0 | |||||||||
−7.08269 | − | 12.2676i | −0.318343 | − | 0.551387i | |||||
0 | 0 | |||||||||
13.5096 | + | 3.67311i | 0.605987 | + | 0.164762i | |||||
0 | 0 | |||||||||
−5.68404 | − | 9.84505i | −0.254453 | − | 0.440725i | 0.710294 | − | 0.703905i | ||
−0.964747 | + | 0.263180i | ||||||||
0 | 0 | |||||||||
−0.578191 | − | 0.333819i | −0.0258317 | − | 0.0149139i | |||||
0 | 0 | |||||||||
13.2022 | 0.588656 | 0.294328 | − | 0.955704i | ||||||
0.294328 | + | 0.955704i | ||||||||
0 | 0 | |||||||||
−21.7408 | −0.967454 | |||||||||
0 | 0 | |||||||||
−4.61144 | − | 2.66241i | −0.204801 | − | 0.118242i | |||||
0 | 0 | |||||||||
−13.2178 | − | 22.8940i | −0.585870 | − | 1.01476i | −0.994766 | − | 0.102176i | ||
0.408896 | − | 0.912581i | ||||||||
0 | 0 | |||||||||
20.1749 | − | 20.0272i | 0.892484 | − | 0.885952i | |||||
0 | 0 | |||||||||
−7.31899 | − | 12.6769i | −0.323141 | − | 0.559697i | |||||
0 | 0 | |||||||||
−22.4388 | + | 38.8652i | −0.988773 | + | 1.71260i | |||||
0 | 0 | |||||||||
−16.2033 | −0.712619 | |||||||||
0 | 0 | |||||||||
− | 0.466786i | − | 0.0204896i | |||||||
0 | 0 | |||||||||
−10.4163 | − | 6.01384i | −0.456345 | − | 0.263471i | 0.254161 | − | 0.967162i | ||
−0.710506 | + | 0.703691i | ||||||||
0 | 0 | |||||||||
−2.43276 | + | 1.40455i | −0.106377 | + | 0.0614168i | −0.552245 | − | 0.833682i | ||
0.445868 | + | 0.895099i | ||||||||
0 | 0 | |||||||||
1.69000 | + | 6.40113i | 0.0737577 | + | 0.279368i | |||||
0 | 0 | |||||||||
−0.404248 | + | 0.233393i | −0.0176093 | + | 0.0101668i | |||||
0 | 0 | |||||||||
−1.71848 | + | 2.97649i | −0.0747164 | + | 0.129413i | |||||
0 | 0 | |||||||||
− | 14.0305i | − | 0.608872i | |||||||
0 | 0 | |||||||||
− | 5.85434i | − | 0.253580i | |||||||
0 | 0 | |||||||||
−8.20791 | + | 14.2165i | −0.354859 | + | 0.614634i | |||||
0 | 0 | |||||||||
−5.94302 | + | 3.43120i | −0.256460 | + | 0.148067i | |||||
0 | 0 | |||||||||
9.75058 | − | 5.53440i | 0.419987 | − | 0.238383i | |||||
0 | 0 | |||||||||
1.68628 | − | 0.973573i | 0.0724988 | − | 0.0418572i | −0.463312 | − | 0.886195i | ||
0.535811 | + | 0.844338i | ||||||||
0 | 0 | |||||||||
6.38109 | + | 3.68413i | 0.273839 | + | 0.158101i | |||||
0 | 0 | |||||||||
− | 9.04336i | − | 0.387375i | |||||||
0 | 0 | |||||||||
−28.4561 | −1.21669 | −0.608347 | − | 0.793671i | ||||||
−0.608347 | + | 0.793671i | ||||||||
0 | 0 | |||||||||
11.6653 | − | 20.2048i | 0.497862 | − | 0.862321i | |||||
0 | 0 | |||||||||
13.4712 | + | 23.3329i | 0.573894 | + | 0.994013i | |||||
0 | 0 | |||||||||
−8.05982 | − | 30.5277i | −0.342738 | − | 1.29817i | |||||
0 | 0 | |||||||||
−4.10704 | − | 7.11361i | −0.174334 | − | 0.301956i | |||||
0 | 0 | |||||||||
7.96630 | + | 4.59935i | 0.337543 | + | 0.194881i | 0.659185 | − | 0.751981i | ||
−0.321642 | + | 0.946861i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−3.10051 | −0.130904 | |||||||||
0 | 0 | |||||||||
23.5533 | + | 13.5985i | 0.992653 | + | 0.573108i | 0.906066 | − | 0.423136i | ||
0.0865866 | + | 0.996244i | ||||||||
0 | 0 | |||||||||
2.29501 | + | 3.97508i | 0.0965518 | + | 0.167233i | |||||
0 | 0 | |||||||||
12.9956 | + | 13.0914i | 0.545764 | + | 0.549788i | |||||
0 | 0 | |||||||||
11.7699 | + | 20.3861i | 0.493420 | + | 0.854628i | 0.999971 | − | 0.00758149i | ||
−0.506551 | + | 0.862210i | ||||||||
0 | 0 | |||||||||
15.1713 | − | 26.2774i | 0.634897 | − | 1.09967i | −0.351640 | − | 0.936135i | ||
0.986537 | − | 0.163539i | ||||||||
0 | 0 | |||||||||
1.20257 | 0.0502382 | |||||||||
0 | 0 | |||||||||
− | 23.0145i | − | 0.959772i | |||||||
0 | 0 | |||||||||
24.7760 | + | 14.3044i | 1.03144 | + | 0.595500i | 0.917396 | − | 0.397976i | ||
0.114041 | + | 0.993476i | ||||||||
0 | 0 | |||||||||
1.29128 | − | 0.745520i | 0.0536637 | − | 0.0309828i | |||||
0 | 0 | |||||||||
−38.2421 | − | 10.3976i | −1.58655 | − | 0.431367i | |||||
0 | 0 | |||||||||
9.82652 | − | 5.67335i | 0.406973 | − | 0.234966i | |||||
0 | 0 | |||||||||
−6.13915 | + | 10.6333i | −0.253823 | + | 0.439634i | |||||
0 | 0 | |||||||||
15.2362i | 0.628867i | 0.949280 | + | 0.314433i | ||||||
−0.949280 | + | 0.314433i | ||||||||
0 | 0 | |||||||||
0.611872i | 0.0252117i | |||||||||
0 | 0 | |||||||||
−3.77246 | + | 6.53409i | −0.155178 | + | 0.268777i | |||||
0 | 0 | |||||||||
18.2934 | − | 10.5617i | 0.751221 | − | 0.433717i | −0.0749142 | − | 0.997190i | ||
0.826135 | + | 0.563473i | ||||||||
0 | 0 | |||||||||
−32.8274 | − | 8.92543i | −1.34579 | − | 0.365907i | |||||
0 | 0 | |||||||||
−4.92512 | + | 2.84352i | −0.201572 | + | 0.116378i | |||||
0 | 0 | |||||||||
−29.1795 | − | 16.8468i | −1.19224 | − | 0.688341i | −0.233427 | − | 0.972374i | ||
−0.958814 | + | 0.284033i | ||||||||
0 | 0 | |||||||||
− | 24.3960i | − | 0.995132i | −0.867426 | − | 0.497566i | ||||
0.867426 | − | 0.497566i | ||||||||
0 | 0 | |||||||||
27.7879 | 1.13161 | |||||||||
0 | 0 | |||||||||
13.4712 | − | 23.3329i | 0.547683 | − | 0.948616i | |||||
0 | 0 | |||||||||
−4.08757 | − | 7.07987i | −0.165909 | − | 0.287363i | 0.771069 | − | 0.636752i | ||
−0.936978 | + | 0.349389i | ||||||||
0 | 0 | |||||||||
4.57700 | + | 4.61075i | 0.185469 | + | 0.186837i | |||||
0 | 0 | |||||||||
7.02235 | + | 12.1631i | 0.284094 | + | 0.492065i | |||||
0 | 0 | |||||||||
−14.7221 | − | 8.49981i | −0.594620 | − | 0.343304i | 0.172302 | − | 0.985044i | ||
−0.766922 | + | 0.641740i | ||||||||
0 | 0 | |||||||||
−6.47768 | −0.261205 | |||||||||
0 | 0 | |||||||||
39.6548 | 1.59644 | 0.798221 | − | 0.602365i | ||||||
0.798221 | + | 0.602365i | ||||||||
0 | 0 | |||||||||
12.4719 | + | 7.20065i | 0.501288 | + | 0.289419i | 0.729245 | − | 0.684252i | ||
−0.227957 | + | 0.973671i | ||||||||
0 | 0 | |||||||||
6.13514 | + | 10.6264i | 0.246195 | + | 0.426422i | |||||
0 | 0 | |||||||||
−1.16979 | − | 4.43075i | −0.0468667 | − | 0.177514i | |||||
0 | 0 | |||||||||
11.9709 | + | 20.7343i | 0.478837 | + | 0.829370i | |||||
0 | 0 | |||||||||
−2.03211 | + | 3.51971i | −0.0811545 | + | 0.140564i | |||||
0 | 0 | |||||||||
21.5246 | 0.858241 | |||||||||
0 | 0 | |||||||||
− | 36.6698i | − | 1.45980i | −0.683553 | − | 0.729900i | ||||
0.683553 | − | 0.729900i | ||||||||
0 | 0 | |||||||||
−4.19496 | − | 2.42196i | −0.166735 | − | 0.0962644i | |||||
0 | 0 | |||||||||
−13.6124 | + | 7.85913i | −0.540192 | + | 0.311880i | |||||
0 | 0 | |||||||||
−8.38024 | − | 4.92077i | −0.332037 | − | 0.194968i | |||||
0 | 0 | |||||||||
12.6879 | − | 7.32538i | 0.501927 | − | 0.289788i | |||||
0 | 0 | |||||||||
−9.13798 | + | 15.8274i | −0.360929 | + | 0.625147i | −0.988114 | − | 0.153723i | ||
0.627185 | + | 0.778870i | ||||||||
0 | 0 | |||||||||
− | 13.6340i | − | 0.537671i | −0.963186 | − | 0.268836i | ||||
0.963186 | − | 0.268836i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−8.74153 | + | 15.1408i | −0.343665 | + | 0.595245i | −0.985110 | − | 0.171923i | ||
0.641445 | + | 0.767169i | ||||||||
0 | 0 | |||||||||
−7.02907 | + | 4.05824i | −0.275915 | + | 0.159300i | |||||
0 | 0 | |||||||||
0.0376633 | + | 0.142655i | 0.00147614 | + | 0.00559110i | |||||
0 | 0 | |||||||||
8.40495 | − | 4.85260i | 0.328911 | − | 0.189897i | −0.326446 | − | 0.945216i | ||
0.655358 | + | 0.755319i | ||||||||
0 | 0 | |||||||||
−10.9131 | − | 6.30070i | −0.426411 | − | 0.246189i | |||||
0 | 0 | |||||||||
− | 29.7488i | − | 1.16061i | |||||||
0 | 0 | |||||||||
28.9465 | 1.12760 | 0.563798 | − | 0.825913i | ||||||
0.563798 | + | 0.825913i | ||||||||
0 | 0 | |||||||||
6.43683 | − | 11.1489i | 0.250364 | − | 0.433643i | −0.713262 | − | 0.700897i | ||
0.963626 | + | 0.267254i | ||||||||
0 | 0 | |||||||||
1.34373 | + | 2.32742i | 0.0521863 | + | 0.0903893i | |||||
0 | 0 | |||||||||
−31.6475 | + | 31.4159i | −1.22724 | + | 1.21826i | |||||
0 | 0 | |||||||||
−11.2922 | − | 19.5587i | −0.437238 | − | 0.757318i | |||||
0 | 0 | |||||||||
−10.1239 | − | 5.84502i | −0.391412 | − | 0.225982i | |||||
0 | 0 | |||||||||
−13.4964 | −0.521024 | |||||||||
0 | 0 | |||||||||
−23.6548 | −0.911825 | −0.455912 | − | 0.890025i | ||||||
−0.455912 | + | 0.890025i | ||||||||
0 | 0 | |||||||||
12.5012 | + | 7.21755i | 0.481170 | + | 0.277804i | |||||
0 | 0 | |||||||||
1.80224 | + | 3.12157i | 0.0692657 | + | 0.119972i | 0.898578 | − | 0.438813i | ||
−0.829313 | + | 0.558785i | ||||||||
0 | 0 | |||||||||
−7.33237 | − | 1.99360i | −0.281391 | − | 0.0765072i | |||||
0 | 0 | |||||||||
3.44419 | + | 5.96550i | 0.131981 | + | 0.228599i | |||||
0 | 0 | |||||||||
−3.80924 | + | 6.59779i | −0.145756 | + | 0.252457i | −0.929655 | − | 0.368432i | ||
0.783899 | + | 0.620889i | ||||||||
0 | 0 | |||||||||
−0.328514 | −0.0125519 | |||||||||
0 | 0 | |||||||||
5.12162i | 0.195402i | |||||||||
0 | 0 | |||||||||
−8.51745 | − | 4.91755i | −0.324489 | − | 0.187344i | |||||
0 | 0 | |||||||||
44.9707 | − | 25.9639i | 1.71077 | − | 0.987712i | 0.777241 | − | 0.629203i | ||
0.933526 | − | 0.358509i | ||||||||
0 | 0 | |||||||||
3.07831 | − | 11.3219i | 0.116935 | − | 0.430083i | |||||
0 | 0 | |||||||||
41.4364 | − | 23.9233i | 1.57177 | − | 0.907462i | |||||
0 | 0 | |||||||||
8.48721 | − | 14.7003i | 0.321476 | − | 0.556813i | |||||
0 | 0 | |||||||||
0.306806i | 0.0116045i | |||||||||
0 | 0 | |||||||||
− | 0.741474i | − | 0.0280051i | −0.999902 | − | 0.0140025i | ||||
0.999902 | − | 0.0140025i | ||||||||
0 | 0 | |||||||||
14.1074 | − | 24.4347i | 0.532071 | − | 0.921574i | |||||
0 | 0 | |||||||||
13.4581 | − | 7.77006i | 0.506863 | − | 0.292637i | |||||
0 | 0 | |||||||||
−12.6864 | − | 12.7799i | −0.477120 | − | 0.480638i | |||||
0 | 0 | |||||||||
35.6491 | − | 20.5820i | 1.33883 | − | 0.772974i | 0.352196 | − | 0.935926i | ||
0.986634 | + | 0.162952i | ||||||||
0 | 0 | |||||||||
−28.6147 | − | 16.5207i | −1.07314 | − | 0.619575i | |||||
0 | 0 | |||||||||
− | 0.512901i | − | 0.0192083i | |||||||
0 | 0 | |||||||||
7.10284 | 0.265631 | |||||||||
0 | 0 | |||||||||
−1.13863 | + | 1.97216i | −0.0425229 | + | 0.0736518i | |||||
0 | 0 | |||||||||
−7.02471 | − | 12.1672i | −0.261978 | − | 0.453758i | 0.704790 | − | 0.709416i | ||
−0.966767 | + | 0.255658i | ||||||||
0 | 0 | |||||||||
−35.9398 | + | 9.48869i | −1.33847 | + | 0.353377i | |||||
0 | 0 | |||||||||
−2.81479 | − | 4.87536i | −0.104683 | − | 0.181317i | |||||
0 | 0 | |||||||||
−23.0095 | − | 13.2845i | −0.854550 | − | 0.493375i | |||||
0 | 0 | |||||||||
−13.2022 | −0.489642 | −0.244821 | − | 0.969568i | ||||||
−0.244821 | + | 0.969568i | ||||||||
0 | 0 | |||||||||
15.3015 | 0.566724 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
24.9797 | + | 43.2661i | 0.922646 | + | 1.59807i | 0.795304 | + | 0.606211i | ||
0.127342 | + | 0.991859i | ||||||||
0 | 0 | |||||||||
−5.44471 | + | 9.27253i | −0.200831 | + | 0.342022i | |||||
0 | 0 | |||||||||
−8.03747 | − | 13.9213i | −0.296064 | − | 0.512798i | |||||
0 | 0 | |||||||||
−18.2718 | + | 31.6476i | −0.672138 | + | 1.16418i | 0.305159 | + | 0.952301i | ||
−0.977297 | + | 0.211875i | ||||||||
0 | 0 | |||||||||
3.52278 | 0.129413 | |||||||||
0 | 0 | |||||||||
15.1330i | 0.555177i | 0.960700 | + | 0.277589i | ||||||
−0.960700 | + | 0.277589i | ||||||||
0 | 0 | |||||||||
31.2771 | + | 18.0579i | 1.14591 | + | 0.661589i | |||||
0 | 0 | |||||||||
−35.9163 | + | 20.7363i | −1.31411 | + | 0.758701i | |||||
0 | 0 | |||||||||
−13.1464 | + | 3.47087i | −0.480360 | + | 0.126823i | |||||
0 | 0 | |||||||||
−11.9997 | + | 6.92806i | −0.437877 | + | 0.252808i | −0.702697 | − | 0.711490i | ||
0.264820 | + | 0.964298i | ||||||||
0 | 0 | |||||||||
−2.78036 | + | 4.81572i | −0.101322 | + | 0.175495i | |||||
0 | 0 | |||||||||
− | 47.3412i | − | 1.72292i | |||||||
0 | 0 | |||||||||
− | 46.6967i | − | 1.69722i | −0.529019 | − | 0.848610i | ||||
0.529019 | − | 0.848610i | ||||||||
0 | 0 | |||||||||
1.70341 | − | 2.95039i | 0.0618299 | − | 0.107093i | |||||
0 | 0 | |||||||||
40.7899 | − | 23.5501i | 1.47863 | − | 0.853689i | 0.478925 | − | 0.877856i | ||
0.999708 | + | 0.0241662i | ||||||||
0 | 0 | |||||||||
5.31596 | − | 5.27705i | 0.192451 | − | 0.191042i | |||||
0 | 0 | |||||||||
−30.8309 | + | 17.8002i | −1.11469 | + | 0.643568i | |||||
0 | 0 | |||||||||
6.09267 | + | 3.51761i | 0.219994 | + | 0.127013i | |||||
0 | 0 | |||||||||
17.3071i | 0.624110i | 0.950064 | + | 0.312055i | ||||||
−0.950064 | + | 0.312055i | ||||||||
0 | 0 | |||||||||
−11.3448 | −0.408574 | |||||||||
0 | 0 | |||||||||
−13.5389 | + | 23.4501i | −0.486960 | + | 0.843440i | −0.999888 | − | 0.0149920i | ||
0.512927 | + | 0.858432i | ||||||||
0 | 0 | |||||||||
−0.301696 | − | 0.522552i | −0.0108372 | − | 0.0187706i | |||||
0 | 0 | |||||||||
1.78502 | − | 6.56523i | 0.0640372 | − | 0.235526i | |||||
0 | 0 | |||||||||
−11.1252 | − | 19.2694i | −0.398601 | − | 0.690398i | |||||
0 | 0 | |||||||||
−7.33982 | − | 4.23764i | −0.262639 | − | 0.151635i | |||||
0 | 0 | |||||||||
14.1654 | 0.506230 | |||||||||
0 | 0 | |||||||||
−2.35969 | −0.0842208 | |||||||||
0 | 0 | |||||||||
46.9684 | + | 27.1172i | 1.67424 | + | 0.966624i | 0.965220 | + | 0.261439i | ||
0.709023 | + | 0.705186i | ||||||||
0 | 0 | |||||||||
−2.56778 | − | 4.44753i | −0.0914155 | − | 0.158336i | |||||
0 | 0 | |||||||||
−0.997467 | + | 3.66864i | −0.0354658 | + | 0.130442i | |||||
0 | 0 | |||||||||
5.84923 | + | 10.1312i | 0.207712 | + | 0.359768i | |||||
0 | 0 | |||||||||
−5.44115 | + | 9.42435i | −0.192978 | + | 0.334247i | |||||
0 | 0 | |||||||||
20.1437 | 0.713527 | 0.356763 | − | 0.934195i | ||||||
0.356763 | + | 0.934195i | ||||||||
0 | 0 | |||||||||
40.7221i | 1.44064i | |||||||||
0 | 0 | |||||||||
−4.15310 | − | 2.39779i | −0.146743 | − | 0.0847219i | |||||
0 | 0 | |||||||||
−14.9037 | + | 8.60465i | −0.525940 | + | 0.303651i | |||||
0 | 0 | |||||||||
26.5285 | − | 26.3344i | 0.935008 | − | 0.928164i | |||||
0 | 0 | |||||||||
9.71963 | − | 5.61163i | 0.342147 | − | 0.197539i | |||||
0 | 0 | |||||||||
−17.2771 | + | 29.9249i | −0.607432 | + | 1.05210i | 0.384231 | + | 0.923237i | ||
−0.991662 | + | 0.128865i | ||||||||
0 | 0 | |||||||||
13.6340i | 0.478754i | 0.970927 | + | 0.239377i | ||||||
−0.970927 | + | 0.239377i | ||||||||
0 | 0 | |||||||||
6.55911i | 0.230038i | |||||||||
0 | 0 | |||||||||
−13.9023 | + | 24.0795i | −0.486976 | + | 0.843468i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−9.83294 | + | 2.59606i | −0.343591 | + | 0.0907136i | |||||
0 | 0 | |||||||||
−27.7311 | + | 16.0106i | −0.967822 | + | 0.558772i | −0.898572 | − | 0.438827i | ||
−0.0692505 | + | 0.997599i | ||||||||
0 | 0 | |||||||||
26.8399 | + | 15.4960i | 0.935580 | + | 0.540158i | 0.888572 | − | 0.458737i | ||
0.0470083 | + | 0.998894i | ||||||||
0 | 0 | |||||||||
− | 4.00788i | − | 0.139537i | |||||||
0 | 0 | |||||||||
11.0191 | 0.383172 | 0.191586 | − | 0.981476i | ||||||
0.191586 | + | 0.981476i | ||||||||
0 | 0 | |||||||||
−18.9836 | + | 32.8806i | −0.659328 | + | 1.14199i | 0.321462 | + | 0.946922i | ||
−0.980790 | + | 0.195067i | ||||||||
0 | 0 | |||||||||
0.109999 | + | 0.190524i | 0.00381582 | + | 0.00660919i | |||||
0 | 0 | |||||||||
−13.9090 | − | 24.5052i | −0.481920 | − | 0.849054i | |||||
0 | 0 | |||||||||
2.21731 | + | 3.84050i | 0.0767332 | + | 0.132906i | |||||
0 | 0 | |||||||||
0.278601 | + | 0.160850i | 0.00962984 | + | 0.00555979i | |||||
0 | 0 | |||||||||
8.32984 | 0.287578 | 0.143789 | − | 0.989608i | ||||||
0.143789 | + | 0.989608i | ||||||||
0 | 0 | |||||||||
2.92739 | 0.100945 | |||||||||
0 | 0 | |||||||||
0.598452 | + | 0.345516i | 0.0206118 | + | 0.0119002i | |||||
0 | 0 | |||||||||
17.6844 | + | 30.6304i | 0.608363 | + | 1.05372i | |||||
0 | 0 | |||||||||
21.5766 | − | 5.69657i | 0.741380 | − | 0.195736i | |||||
0 | 0 | |||||||||
−7.50840 | − | 13.0049i | −0.257687 | − | 0.446328i | |||||
0 | 0 | |||||||||
−11.8255 | + | 20.4824i | −0.405374 | + | 0.702128i | |||||
0 | 0 | |||||||||
−6.94153 | −0.237673 | −0.118837 | − | 0.992914i | ||||||
−0.118837 | + | 0.992914i | ||||||||
0 | 0 | |||||||||
46.6657i | 1.59593i | |||||||||
0 | 0 | |||||||||
1.91744 | + | 1.10704i | 0.0654986 | + | 0.0378156i | 0.532392 | − | 0.846498i | ||
−0.466893 | + | 0.884314i | ||||||||
0 | 0 | |||||||||
−5.26337 | + | 3.03881i | −0.179584 | + | 0.103683i | −0.587097 | − | 0.809516i | ||
0.407513 | + | 0.913199i | ||||||||
0 | 0 | |||||||||
−3.77991 | − | 3.80778i | −0.128819 | − | 0.129769i | |||||
0 | 0 | |||||||||
7.64747 | − | 4.41527i | 0.260323 | − | 0.150298i | −0.364159 | − | 0.931337i | ||
0.624482 | + | 0.781039i | ||||||||
0 | 0 | |||||||||
−1.55026 | + | 2.68512i | −0.0527103 | + | 0.0912969i | |||||
0 | 0 | |||||||||
− | 0.383106i | − | 0.0130110i | |||||||
0 | 0 | |||||||||
19.1141i | 0.648400i | |||||||||
0 | 0 | |||||||||
−6.96673 | + | 12.0667i | −0.236059 | + | 0.408866i | |||||
0 | 0 | |||||||||
−6.88643 | + | 3.97588i | −0.233070 | + | 0.134563i | |||||
0 | 0 | |||||||||
0.450909 | − | 1.65842i | 0.0152435 | − | 0.0560650i | |||||
0 | 0 | |||||||||
−10.3059 | + | 5.95011i | −0.348005 | + | 0.200921i | −0.663806 | − | 0.747905i | ||
0.315801 | + | 0.948825i | ||||||||
0 | 0 | |||||||||
−13.0358 | − | 7.52623i | −0.439687 | − | 0.253854i | |||||
0 | 0 | |||||||||
− | 53.9142i | − | 1.81642i | −0.418519 | − | 0.908208i | ||||
0.418519 | − | 0.908208i | ||||||||
0 | 0 | |||||||||
−11.1987 | −0.376866 | −0.188433 | − | 0.982086i | ||||||
−0.188433 | + | 0.982086i | ||||||||
0 | 0 | |||||||||
3.89215 | − | 6.74139i | 0.130833 | − | 0.226609i | |||||
0 | 0 | |||||||||
−18.1832 | − | 31.4942i | −0.610531 | − | 1.05747i | −0.991151 | − | 0.132740i | ||
0.380620 | − | 0.924732i | ||||||||
0 | 0 | |||||||||
−12.5630 | − | 3.41576i | −0.421351 | − | 0.114561i | |||||
0 | 0 | |||||||||
−5.58353 | − | 9.67095i | −0.187055 | − | 0.323989i | |||||
0 | 0 | |||||||||
46.2278 | + | 26.6896i | 1.54695 | + | 0.893134i | |||||
0 | 0 | |||||||||
45.5819 | 1.52364 | |||||||||
0 | 0 | |||||||||
−2.95297 | −0.0985968 | |||||||||
0 | 0 | |||||||||
−0.512788 | − | 0.296058i | −0.0171024 | − | 0.00987410i | |||||
0 | 0 | |||||||||
−14.2583 | − | 24.6960i | −0.475011 | − | 0.822744i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−24.4709 | − | 42.3849i | −0.813441 | − | 1.40892i | |||||
0 | 0 | |||||||||
−8.92370 | + | 15.4563i | −0.296307 | + | 0.513218i | −0.975288 | − | 0.220937i | ||
0.678981 | + | 0.734156i | ||||||||
0 | 0 | |||||||||
−18.8446 | −0.625034 | |||||||||
0 | 0 | |||||||||
− | 11.1458i | − | 0.369278i | −0.982806 | − | 0.184639i | ||||
0.982806 | − | 0.184639i | ||||||||
0 | 0 | |||||||||
20.7771 | + | 11.9957i | 0.687623 | + | 0.396999i | |||||
0 | 0 | |||||||||
11.2099 | − | 6.47203i | 0.370587 | − | 0.213959i | |||||
0 | 0 | |||||||||
−2.66437 | − | 10.0917i | −0.0879854 | − | 0.333257i | |||||
0 | 0 | |||||||||
−28.2802 | + | 16.3276i | −0.932879 | + | 0.538598i | −0.887721 | − | 0.460382i | ||
−0.0451579 | + | 0.998980i | ||||||||
0 | 0 | |||||||||
−3.53980 | + | 6.13111i | −0.116640 | + | 0.202027i | |||||
0 | 0 | |||||||||
7.34623i | 0.241804i | |||||||||
0 | 0 | |||||||||
27.8238i | 0.914839i | |||||||||
0 | 0 | |||||||||
−19.4496 | + | 33.6876i | −0.638807 | + | 1.10645i | |||||
0 | 0 | |||||||||
−23.3027 | + | 13.4538i | −0.764537 | + | 0.441406i | −0.830922 | − | 0.556388i | ||
0.0663853 | + | 0.997794i | ||||||||
0 | 0 | |||||||||
−36.9344 | − | 0.271329i | −1.21048 | − | 0.00889246i | |||||
0 | 0 | |||||||||
6.48885 | − | 3.74634i | 0.212435 | − | 0.122650i | |||||
0 | 0 | |||||||||
17.8353 | + | 10.2972i | 0.583276 | + | 0.336755i | |||||
0 | 0 | |||||||||
32.6476i | 1.06655i | 0.845942 | + | 0.533275i | ||||||
−0.845942 | + | 0.533275i | ||||||||
0 | 0 | |||||||||
6.29315 | 0.205369 | |||||||||
0 | 0 | |||||||||
−6.32087 | + | 10.9481i | −0.206055 | + | 0.356897i | −0.950468 | − | 0.310822i | ||
0.744414 | + | 0.667719i | ||||||||
0 | 0 | |||||||||
9.32569 | + | 16.1526i | 0.303686 | + | 0.526000i | |||||
0 | 0 | |||||||||
5.98488 | + | 22.6686i | 0.194688 | + | 0.737410i | |||||
0 | 0 | |||||||||
−21.1271 | − | 36.5931i | −0.686537 | − | 1.18912i | −0.972951 | − | 0.231011i | ||
0.286414 | − | 0.958106i | ||||||||
0 | 0 | |||||||||
12.9182 | + | 7.45835i | 0.419344 | + | 0.242108i | |||||
0 | 0 | |||||||||
11.3264 | 0.367285 | |||||||||
0 | 0 | |||||||||
−44.4561 | −1.44007 | −0.720037 | − | 0.693936i | ||||||
−0.720037 | + | 0.693936i | ||||||||
0 | 0 | |||||||||
−6.91764 | − | 3.99390i | −0.223850 | − | 0.129240i | |||||
0 | 0 | |||||||||
−1.96650 | − | 3.40607i | −0.0635678 | − | 0.110103i | |||||
0 | 0 | |||||||||
−0.191697 | − | 0.193110i | −0.00619021 | − | 0.00623585i | |||||
0 | 0 | |||||||||
15.4933 | + | 26.8351i | 0.499783 | + | 0.865650i | |||||
0 | 0 | |||||||||
−7.11447 | + | 12.3226i | −0.229261 | + | 0.397091i | |||||
0 | 0 | |||||||||
−9.90388 | −0.318817 | |||||||||
0 | 0 | |||||||||
− | 25.7160i | − | 0.826972i | −0.910510 | − | 0.413486i | ||||
0.910510 | − | 0.413486i | ||||||||
0 | 0 | |||||||||
8.84573 | + | 5.10709i | 0.284166 | + | 0.164063i | |||||
0 | 0 | |||||||||
40.2746 | − | 23.2526i | 1.29247 | − | 0.746210i | 0.313381 | − | 0.949627i | ||
0.979092 | + | 0.203417i | ||||||||
0 | 0 | |||||||||
38.2421 | + | 10.3976i | 1.22599 | + | 0.333333i | |||||
0 | 0 | |||||||||
−3.00854 | + | 1.73698i | −0.0963503 | + | 0.0556278i | |||||
0 | 0 | |||||||||
−17.1348 | + | 29.6783i | −0.548189 | + | 0.949492i | 0.450209 | + | 0.892923i | ||
−0.998399 | + | 0.0565688i | ||||||||
0 | 0 | |||||||||
2.77419i | 0.0886635i | |||||||||
0 | 0 | |||||||||
− | 7.83862i | − | 0.250268i | |||||||
0 | 0 | |||||||||
0.777334 | − | 1.34638i | 0.0247931 | − | 0.0429429i | −0.853363 | − | 0.521318i | ||
0.878156 | + | 0.478375i | ||||||||
0 | 0 | |||||||||
43.4012 | − | 25.0577i | 1.38288 | − | 0.798404i | |||||
0 | 0 | |||||||||
12.4207 | + | 3.37705i | 0.395354 | + | 0.107493i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−22.6482 | − | 13.0759i | −0.719443 | − | 0.415371i | 0.0951047 | − | 0.995467i | ||
−0.814548 | + | 0.580097i | ||||||||
0 | 0 | |||||||||
15.8964i | 0.504457i | |||||||||
0 | 0 | |||||||||
37.7748 | 1.19754 | |||||||||
0 | 0 | |||||||||
18.1467 | − | 31.4310i | 0.574711 | − | 0.995429i | −0.421362 | − | 0.906893i | ||
0.996073 | − | 0.0885360i | ||||||||
0 | 0 | |||||||||
−7.41717 | − | 12.8469i | −0.234669 | − | 0.406458i |