Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [252,2,Mod(85,252)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(252, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("252.85");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 252.j (of order , degree , minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Coefficient field: | 6.0.309123.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
|
Coefficient ring: | |
Coefficient ring index: | |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 169.2 | ||
Root | of defining polynomial | ||
Character | 252.169 | ||
Dual form | 252.2.j.a.85.2 |
-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 | |||||||||
−0.933463 | − | 1.45899i | −0.538935 | − | 0.842347i | |||||
0 | 0 | |||||||||
−1.23025 | − | 2.13086i | −0.550186 | − | 0.952949i | −0.998261 | − | 0.0589535i | ||
0.448075 | − | 0.893996i | ||||||||
0 | 0 | |||||||||
0.500000 | − | 0.866025i | 0.188982 | − | 0.327327i | |||||
0 | 0 | |||||||||
−1.25729 | + | 2.72382i | −0.419098 | + | 0.907941i | |||||
0 | 0 | |||||||||
−2.32383 | + | 4.02499i | −0.700662 | + | 1.21358i | 0.267573 | + | 0.963538i | ||
−0.968234 | + | 0.250044i | ||||||||
0 | 0 | |||||||||
−3.55408 | − | 6.15585i | −0.985726 | − | 1.70733i | −0.638667 | − | 0.769484i | ||
−0.347059 | − | 0.937843i | ||||||||
0 | 0 | |||||||||
−1.96050 | + | 3.78400i | −0.506200 | + | 0.977025i | |||||
0 | 0 | |||||||||
−4.51459 | −1.09495 | −0.547474 | − | 0.836822i | ||||||
−0.547474 | + | 0.836822i | ||||||||
0 | 0 | |||||||||
4.32743 | 0.992781 | 0.496390 | − | 0.868099i | ||||||
0.496390 | + | 0.868099i | ||||||||
0 | 0 | |||||||||
−1.73025 | + | 0.0789082i | −0.377572 | + | 0.0172192i | |||||
0 | 0 | |||||||||
−2.93346 | − | 5.08091i | −0.611669 | − | 1.05944i | −0.990959 | − | 0.134164i | ||
0.379290 | − | 0.925278i | ||||||||
0 | 0 | |||||||||
−0.527042 | + | 0.912864i | −0.105408 | + | 0.182573i | |||||
0 | 0 | |||||||||
5.14766 | − | 0.708209i | 0.990668 | − | 0.136295i | |||||
0 | 0 | |||||||||
3.48755 | − | 6.04061i | 0.647621 | − | 1.12171i | −0.336068 | − | 0.941838i | ||
0.983689 | − | 0.179875i | ||||||||
0 | 0 | |||||||||
3.69076 | + | 6.39258i | 0.662880 | + | 1.14814i | 0.979856 | + | 0.199708i | ||
−0.316976 | + | 0.948434i | ||||||||
0 | 0 | |||||||||
8.04163 | − | 0.366739i | 1.39987 | − | 0.0638411i | |||||
0 | 0 | |||||||||
−2.46050 | −0.415901 | |||||||||
0 | 0 | |||||||||
−0.726654 | −0.119461 | −0.0597306 | − | 0.998215i | ||||||
−0.0597306 | + | 0.998215i | ||||||||
0 | 0 | |||||||||
−5.66372 | + | 10.9316i | −0.906920 | + | 1.75046i | |||||
0 | 0 | |||||||||
−0.136673 | − | 0.236725i | −0.0213448 | − | 0.0369702i | 0.855156 | − | 0.518371i | ||
−0.876500 | + | 0.481401i | ||||||||
0 | 0 | |||||||||
2.41741 | − | 4.18708i | 0.368652 | − | 0.638524i | −0.620703 | − | 0.784046i | ||
0.989355 | + | 0.145522i | ||||||||
0 | 0 | |||||||||
7.35087 | − | 0.671871i | 1.09580 | − | 0.100157i | |||||
0 | 0 | |||||||||
−1.83628 | + | 3.18054i | −0.267850 | + | 0.463929i | −0.968306 | − | 0.249766i | ||
0.700457 | + | 0.713695i | ||||||||
0 | 0 | |||||||||
−0.500000 | − | 0.866025i | −0.0714286 | − | 0.123718i | |||||
0 | 0 | |||||||||
4.21420 | + | 6.58673i | 0.590106 | + | 0.922327i | |||||
0 | 0 | |||||||||
5.05408 | 0.694232 | 0.347116 | − | 0.937822i | ||||||
0.347116 | + | 0.937822i | ||||||||
0 | 0 | |||||||||
11.4356 | 1.54198 | |||||||||
0 | 0 | |||||||||
−4.03950 | − | 6.31367i | −0.535044 | − | 0.836266i | |||||
0 | 0 | |||||||||
−4.56654 | − | 7.90947i | −0.594513 | − | 1.02973i | −0.993615 | − | 0.112820i | ||
0.399103 | − | 0.916906i | ||||||||
0 | 0 | |||||||||
6.90856 | − | 11.9660i | 0.884550 | − | 1.53209i | 0.0383215 | − | 0.999265i | ||
0.846228 | − | 0.532820i | ||||||||
0 | 0 | |||||||||
1.73025 | + | 2.45076i | 0.217991 | + | 0.308767i | |||||
0 | 0 | |||||||||
−8.74484 | + | 15.1465i | −1.08466 | + | 1.87869i | |||||
0 | 0 | |||||||||
0.663715 | + | 1.14959i | 0.0810857 | + | 0.140445i | 0.903717 | − | 0.428131i | ||
−0.822631 | + | 0.568576i | ||||||||
0 | 0 | |||||||||
−4.67471 | + | 9.02273i | −0.562768 | + | 1.08621i | |||||
0 | 0 | |||||||||
13.5218 | 1.60474 | 0.802370 | − | 0.596826i | ||||||
0.802370 | + | 0.596826i | ||||||||
0 | 0 | |||||||||
−4.32743 | −0.506487 | −0.253244 | − | 0.967403i | ||||||
−0.253244 | + | 0.967403i | ||||||||
0 | 0 | |||||||||
1.82383 | − | 0.0831759i | 0.210598 | − | 0.00960433i | |||||
0 | 0 | |||||||||
2.32383 | + | 4.02499i | 0.264825 | + | 0.458691i | |||||
0 | 0 | |||||||||
−3.21780 | + | 5.57339i | −0.362031 | + | 0.627056i | −0.988295 | − | 0.152555i | ||
0.626264 | + | 0.779611i | ||||||||
0 | 0 | |||||||||
−5.83842 | − | 6.84929i | −0.648713 | − | 0.761033i | |||||
0 | 0 | |||||||||
−0.742705 | + | 1.28640i | −0.0815225 | + | 0.141201i | −0.903904 | − | 0.427735i | ||
0.822382 | + | 0.568936i | ||||||||
0 | 0 | |||||||||
5.55408 | + | 9.61996i | 0.602425 | + | 1.04343i | |||||
0 | 0 | |||||||||
−12.0687 | + | 0.550392i | −1.29390 | + | 0.0590083i | |||||
0 | 0 | |||||||||
9.83482 | 1.04249 | 0.521245 | − | 0.853407i | ||||||
0.521245 | + | 0.853407i | ||||||||
0 | 0 | |||||||||
−7.10817 | −0.745139 | |||||||||
0 | 0 | |||||||||
5.88151 | − | 11.3520i | 0.609885 | − | 1.17715i | |||||
0 | 0 | |||||||||
−5.32383 | − | 9.22115i | −0.546214 | − | 0.946070i | |||||
0 | 0 | |||||||||
0.246304 | − | 0.426611i | 0.0250084 | − | 0.0433158i | −0.853250 | − | 0.521502i | ||
0.878259 | + | 0.478186i | ||||||||
0 | 0 | |||||||||
−8.04163 | − | 11.3903i | −0.808214 | − | 1.14477i | |||||
0 | 0 | |||||||||
−1.70321 | + | 2.95005i | −0.169476 | + | 0.293541i | −0.938236 | − | 0.345997i | ||
0.768760 | + | 0.639537i | ||||||||
0 | 0 | |||||||||
−2.58113 | − | 4.47064i | −0.254326 | − | 0.440505i | 0.710386 | − | 0.703812i | ||
−0.964712 | + | 0.263307i | ||||||||
0 | 0 | |||||||||
2.29679 | + | 3.58985i | 0.224144 | + | 0.350333i | |||||
0 | 0 | |||||||||
−5.76303 | −0.557133 | −0.278567 | − | 0.960417i | ||||||
−0.278567 | + | 0.960417i | ||||||||
0 | 0 | |||||||||
−8.98229 | −0.860347 | −0.430174 | − | 0.902746i | ||||||
−0.430174 | + | 0.902746i | ||||||||
0 | 0 | |||||||||
0.678304 | + | 1.06018i | 0.0643818 | + | 0.100628i | |||||
0 | 0 | |||||||||
0.679767 | + | 1.17739i | 0.0639471 | + | 0.110760i | 0.896226 | − | 0.443597i | ||
−0.832279 | + | 0.554356i | ||||||||
0 | 0 | |||||||||
−7.21780 | + | 12.5016i | −0.673063 | + | 1.16578i | |||||
0 | 0 | |||||||||
21.2360 | − | 1.94097i | 1.96327 | − | 0.179443i | |||||
0 | 0 | |||||||||
−2.25729 | + | 3.90975i | −0.206926 | + | 0.358406i | |||||
0 | 0 | |||||||||
−5.30039 | − | 9.18054i | −0.481853 | − | 0.834595i | |||||
0 | 0 | |||||||||
−0.217799 | + | 0.420378i | −0.0196383 | + | 0.0379042i | |||||
0 | 0 | |||||||||
−9.70895 | −0.868394 | |||||||||
0 | 0 | |||||||||
−0.820039 | −0.0727667 | −0.0363833 | − | 0.999338i | ||||||
−0.0363833 | + | 0.999338i | ||||||||
0 | 0 | |||||||||
−8.36546 | + | 0.381507i | −0.736538 | + | 0.0335898i | |||||
0 | 0 | |||||||||
−3.89397 | − | 6.74455i | −0.340218 | − | 0.589274i | 0.644255 | − | 0.764810i | ||
−0.984473 | + | 0.175536i | ||||||||
0 | 0 | |||||||||
2.16372 | − | 3.74766i | 0.187618 | − | 0.324964i | |||||
0 | 0 | |||||||||
−7.84202 | − | 10.0977i | −0.674934 | − | 0.869069i | |||||
0 | 0 | |||||||||
1.49640 | − | 2.59184i | 0.127846 | − | 0.221436i | −0.794996 | − | 0.606615i | ||
0.922842 | + | 0.385179i | ||||||||
0 | 0 | |||||||||
−3.16372 | − | 5.47972i | −0.268343 | − | 0.464783i | 0.700091 | − | 0.714053i | ||
−0.968434 | + | 0.249270i | ||||||||
0 | 0 | |||||||||
6.35447 | − | 0.289796i | 0.535143 | − | 0.0244052i | |||||
0 | 0 | |||||||||
33.0364 | 2.76264 | |||||||||
0 | 0 | |||||||||
−17.1623 | −1.42525 | |||||||||
0 | 0 | |||||||||
−0.796790 | + | 1.53790i | −0.0657181 | + | 0.126844i | |||||
0 | 0 | |||||||||
2.19076 | + | 3.79450i | 0.179474 | + | 0.310858i | 0.941700 | − | 0.336452i | ||
−0.762227 | + | 0.647310i | ||||||||
0 | 0 | |||||||||
−3.30039 | + | 5.71644i | −0.268582 | + | 0.465197i | −0.968496 | − | 0.249030i | ||
0.699914 | + | 0.714227i | ||||||||
0 | 0 | |||||||||
5.67617 | − | 12.2969i | 0.458891 | − | 0.994149i | |||||
0 | 0 | |||||||||
9.08113 | − | 15.7290i | 0.729414 | − | 1.26338i | |||||
0 | 0 | |||||||||
2.89037 | + | 5.00627i | 0.230677 | + | 0.399544i | 0.958007 | − | 0.286743i | ||
−0.727331 | + | 0.686287i | ||||||||
0 | 0 | |||||||||
−4.71780 | − | 7.37385i | −0.374146 | − | 0.584784i | |||||
0 | 0 | |||||||||
−5.86693 | −0.462379 | |||||||||
0 | 0 | |||||||||
7.32743 | 0.573929 | 0.286964 | − | 0.957941i | ||||||
0.286964 | + | 0.957941i | ||||||||
0 | 0 | |||||||||
−10.6747 | − | 16.6844i | −0.831025 | − | 1.29888i | |||||
0 | 0 | |||||||||
6.01459 | + | 10.4176i | 0.465423 | + | 0.806136i | 0.999221 | − | 0.0394762i | ||
−0.533798 | + | 0.845612i | ||||||||
0 | 0 | |||||||||
−18.7630 | + | 32.4985i | −1.44331 | + | 2.49989i | |||||
0 | 0 | |||||||||
−5.44085 | + | 11.7872i | −0.416073 | + | 0.901386i | |||||
0 | 0 | |||||||||
−2.44951 | + | 4.24268i | −0.186233 | + | 0.322565i | −0.943991 | − | 0.329970i | ||
0.757758 | + | 0.652535i | ||||||||
0 | 0 | |||||||||
0.527042 | + | 0.912864i | 0.0398406 | + | 0.0690060i | |||||
0 | 0 | |||||||||
−7.27714 | + | 14.0457i | −0.546983 | + | 1.05574i | |||||
0 | 0 | |||||||||
−1.78074 | −0.133099 | −0.0665493 | − | 0.997783i | ||||||
−0.0665493 | + | 0.997783i | ||||||||
0 | 0 | |||||||||
−16.9430 | −1.25936 | −0.629681 | − | 0.776854i | ||||||
−0.629681 | + | 0.776854i | ||||||||
0 | 0 | |||||||||
−23.9071 | + | 1.09028i | −1.76726 | + | 0.0805961i | |||||
0 | 0 | |||||||||
0.893968 | + | 1.54840i | 0.0657258 | + | 0.113840i | |||||
0 | 0 | |||||||||
10.4911 | − | 18.1712i | 0.767189 | − | 1.32881i | |||||
0 | 0 | |||||||||
1.96050 | − | 4.81211i | 0.142606 | − | 0.350030i | |||||
0 | 0 | |||||||||
2.74484 | − | 4.75420i | 0.198610 | − | 0.344002i | −0.749468 | − | 0.662040i | ||
0.948078 | + | 0.318038i | ||||||||
0 | 0 | |||||||||
2.75370 | + | 4.76954i | 0.198215 | + | 0.343319i | 0.947950 | − | 0.318420i | ||
−0.749734 | + | 0.661739i | ||||||||
0 | 0 | |||||||||
30.2616 | − | 1.38008i | 2.16708 | − | 0.0988296i | |||||
0 | 0 | |||||||||
11.6300 | 0.828600 | 0.414300 | − | 0.910140i | ||||||
0.414300 | + | 0.910140i | ||||||||
0 | 0 | |||||||||
−4.14747 | −0.294006 | −0.147003 | − | 0.989136i | ||||||
−0.147003 | + | 0.989136i | ||||||||
0 | 0 | |||||||||
1.05768 | − | 2.04145i | 0.0746032 | − | 0.143993i | |||||
0 | 0 | |||||||||
−3.48755 | − | 6.04061i | −0.244778 | − | 0.423968i | |||||
0 | 0 | |||||||||
−0.336285 | + | 0.582462i | −0.0234871 | + | 0.0406809i | |||||
0 | 0 | |||||||||
17.5277 | − | 1.60204i | 1.21826 | − | 0.111349i | |||||
0 | 0 | |||||||||
−10.0562 | + | 17.4179i | −0.695603 | + | 1.20482i | |||||
0 | 0 | |||||||||
13.6082 | + | 23.5700i | 0.936825 | + | 1.62263i | 0.771347 | + | 0.636415i | ||
0.165478 | + | 0.986213i | ||||||||
0 | 0 | |||||||||
−12.6221 | − | 19.7281i | −0.864851 | − | 1.35175i | |||||
0 | 0 | |||||||||
−11.8961 | −0.811308 | |||||||||
0 | 0 | |||||||||
7.38151 | 0.501090 | |||||||||
0 | 0 | |||||||||
4.03950 | + | 6.31367i | 0.272964 | + | 0.426638i | |||||
0 | 0 | |||||||||
16.0452 | + | 27.7912i | 1.07932 | + | 1.86944i | |||||
0 | 0 | |||||||||
1.60817 | − | 2.78543i | 0.107691 | − | 0.186526i | −0.807144 | − | 0.590355i | ||
0.914834 | + | 0.403829i | ||||||||
0 | 0 | |||||||||
−1.82383 | − | 2.58331i | −0.121589 | − | 0.172221i | |||||
0 | 0 | |||||||||
−7.97296 | + | 13.8096i | −0.529184 | + | 0.916573i | 0.470237 | + | 0.882540i | ||
−0.999421 | + | 0.0340330i | ||||||||
0 | 0 | |||||||||
0.608168 | + | 1.05338i | 0.0401889 | + | 0.0696092i | 0.885420 | − | 0.464791i | ||
−0.845231 | + | 0.534401i | ||||||||
0 | 0 | |||||||||
3.70321 | − | 7.14763i | 0.243653 | − | 0.470279i | |||||
0 | 0 | |||||||||
19.9722 | 1.30842 | 0.654210 | − | 0.756313i | ||||||
0.654210 | + | 0.756313i | ||||||||
0 | 0 | |||||||||
9.03638 | 0.589468 | |||||||||
0 | 0 | |||||||||
11.1352 | − | 0.507822i | 0.723310 | − | 0.0329866i | |||||
0 | 0 | |||||||||
−3.00739 | − | 5.20896i | −0.194532 | − | 0.336939i | 0.752215 | − | 0.658918i | ||
−0.946747 | + | 0.321978i | ||||||||
0 | 0 | |||||||||
9.30778 | − | 16.1215i | 0.599567 | − | 1.03848i | −0.393318 | − | 0.919402i | ||
0.992885 | − | 0.119078i | ||||||||
0 | 0 | |||||||||
−4.54309 | + | 14.9118i | −0.291440 | + | 0.956589i | |||||
0 | 0 | |||||||||
−1.23025 | + | 2.13086i | −0.0785979 | + | 0.136136i | |||||
0 | 0 | |||||||||
−15.3801 | − | 26.6390i | −0.978609 | − | 1.69500i | |||||
0 | 0 | |||||||||
2.57014 | − | 0.117211i | 0.162876 | − | 0.00742796i | |||||
0 | 0 | |||||||||
6.99707 | 0.441651 | 0.220826 | − | 0.975313i | ||||||
0.220826 | + | 0.975313i | ||||||||
0 | 0 | |||||||||
27.2675 | 1.71429 | |||||||||
0 | 0 | |||||||||
8.85087 | − | 17.0832i | 0.554263 | − | 1.06979i | |||||
0 | 0 | |||||||||
8.88891 | + | 15.3960i | 0.554475 | + | 0.960378i | 0.997944 | + | 0.0640889i | ||
−0.443469 | + | 0.896289i | ||||||||
0 | 0 | |||||||||
−0.363327 | + | 0.629301i | −0.0225760 | + | 0.0391028i | |||||
0 | 0 | |||||||||
12.0687 | + | 17.0943i | 0.747032 | + | 1.05811i | |||||
0 | 0 | |||||||||
13.5993 | − | 23.5547i | 0.838570 | − | 1.45245i | −0.0525210 | − | 0.998620i | ||
0.891091 | − | 0.453825i | ||||||||
0 | 0 | |||||||||
−6.21780 | − | 10.7695i | −0.381956 | − | 0.661568i | |||||
0 | 0 | |||||||||
−9.18044 | − | 14.3489i | −0.561834 | − | 0.878138i | |||||
0 | 0 | |||||||||
23.8961 | 1.45697 | 0.728486 | − | 0.685061i | ||||||
0.728486 | + | 0.685061i | ||||||||
0 | 0 | |||||||||
12.2733 | 0.745553 | 0.372776 | − | 0.927921i | ||||||
0.372776 | + | 0.927921i | ||||||||
0 | 0 | |||||||||
6.63521 | + | 10.3707i | 0.401581 | + | 0.627665i | |||||
0 | 0 | |||||||||
−2.44951 | − | 4.24268i | −0.147711 | − | 0.255843i | |||||
0 | 0 | |||||||||
−6.39037 | + | 11.0684i | −0.383960 | + | 0.665038i | −0.991624 | − | 0.129156i | ||
0.607664 | + | 0.794194i | ||||||||
0 | 0 | |||||||||
−22.0526 | + | 2.01561i | −1.32026 | + | 0.120672i | |||||
0 | 0 | |||||||||
14.2573 | − | 24.6944i | 0.850519 | − | 1.47314i | −0.0302219 | − | 0.999543i | ||
0.880741 | − | 0.473599i | ||||||||
0 | 0 | |||||||||
−0.363327 | − | 0.629301i | −0.0215975 | − | 0.0374080i | 0.855025 | − | 0.518587i | ||
−0.876622 | + | 0.481179i | ||||||||
0 | 0 | |||||||||
−8.48395 | + | 16.3750i | −0.502546 | + | 0.969972i | |||||
0 | 0 | |||||||||
−0.273346 | −0.0161351 | |||||||||
0 | 0 | |||||||||
3.38151 | 0.198913 | |||||||||
0 | 0 | |||||||||
−0.852336 | + | 0.0388708i | −0.0499648 | + | 0.00227865i | |||||
0 | 0 | |||||||||
−12.7901 | − | 22.1531i | −0.747204 | − | 1.29420i | −0.949158 | − | 0.314800i | ||
0.201954 | − | 0.979395i | ||||||||
0 | 0 | |||||||||
−11.2360 | + | 19.4613i | −0.654184 | + | 1.13308i | |||||
0 | 0 | |||||||||
−9.11177 | + | 22.3651i | −0.528718 | + | 1.29775i | |||||
0 | 0 | |||||||||
−20.8515 | + | 36.1159i | −1.20588 | + | 2.08864i | |||||
0 | 0 | |||||||||
−2.41741 | − | 4.18708i | −0.139337 | − | 0.241339i | |||||
0 | 0 | |||||||||
5.89397 | − | 0.268795i | 0.338600 | − | 0.0154419i | |||||
0 | 0 | |||||||||
−33.9971 | −1.94667 | |||||||||
0 | 0 | |||||||||
−6.23405 | −0.355796 | −0.177898 | − | 0.984049i | ||||||
−0.177898 | + | 0.984049i | ||||||||
0 | 0 | |||||||||
−4.11323 | + | 7.93901i | −0.233993 | + | 0.451635i | |||||
0 | 0 | |||||||||
−14.6192 | − | 25.3211i | −0.828976 | − | 1.43583i | −0.898842 | − | 0.438273i | ||
0.0698655 | − | 0.997556i | ||||||||
0 | 0 | |||||||||
−14.2434 | + | 24.6703i | −0.805083 | + | 1.39445i | 0.111151 | + | 0.993803i | ||
−0.916235 | + | 0.400642i | ||||||||
0 | 0 | |||||||||
3.09358 | − | 6.70198i | 0.174303 | − | 0.377614i | |||||
0 | 0 | |||||||||
−0.809243 | + | 1.40165i | −0.0454516 | + | 0.0787245i | −0.887856 | − | 0.460121i | ||
0.842405 | + | 0.538846i | ||||||||
0 | 0 | |||||||||
16.2089 | + | 28.0747i | 0.907527 | + | 1.57188i | |||||
0 | 0 | |||||||||
5.37957 | + | 8.40819i | 0.300258 | + | 0.469300i | |||||
0 | 0 | |||||||||
−19.5366 | −1.08704 | |||||||||
0 | 0 | |||||||||
7.49261 | 0.415615 | |||||||||
0 | 0 | |||||||||
8.38463 | + | 13.1051i | 0.463671 | + | 0.724711i | |||||
0 | 0 | |||||||||
1.83628 | + | 3.18054i | 0.101238 | + | 0.175349i | |||||
0 | 0 | |||||||||
6.99115 | − | 12.1090i | 0.384268 | − | 0.665572i | −0.607399 | − | 0.794397i | ||
0.991667 | + | 0.128825i | ||||||||
0 | 0 | |||||||||
0.913618 | − | 1.97928i | 0.0500660 | − | 0.108464i | |||||
0 | 0 | |||||||||
1.63307 | − | 2.82857i | 0.0892244 | − | 0.154541i | |||||
0 | 0 | |||||||||
−13.8619 | − | 24.0095i | −0.755104 | − | 1.30788i | −0.945323 | − | 0.326137i | ||
0.190219 | − | 0.981742i | ||||||||
0 | 0 | |||||||||
1.08326 | − | 2.09082i | 0.0588347 | − | 0.113558i | |||||
0 | 0 | |||||||||
−34.3068 | −1.85782 | |||||||||
0 | 0 | |||||||||
−1.00000 | −0.0539949 | |||||||||
0 | 0 | |||||||||
24.9772 | − | 1.13909i | 1.34473 | − | 0.0613264i | |||||
0 | 0 | |||||||||
−3.76449 | − | 6.52029i | −0.202089 | − | 0.350028i | 0.747113 | − | 0.664697i | ||
−0.949201 | + | 0.314670i | ||||||||
0 | 0 | |||||||||
15.0541 | − | 26.0744i | 0.805827 | − | 1.39573i | −0.109905 | − | 0.993942i | ||
0.915732 | − | 0.401791i | ||||||||
0 | 0 | |||||||||
−22.6549 | − | 29.1712i | −1.20923 | − | 1.55705i | |||||
0 | 0 | |||||||||
10.1819 | − | 17.6356i | 0.541928 | − | 0.938647i | −0.456865 | − | 0.889536i | ||
0.998793 | − | 0.0491110i | ||||||||
0 | 0 | |||||||||
−16.6352 | − | 28.8130i | −0.882905 | − | 1.52924i | |||||
0 | 0 | |||||||||
7.81138 | − | 0.356238i | 0.413422 | − | 0.0188541i | |||||
0 | 0 | |||||||||
−16.0263 | −0.845833 | −0.422917 | − | 0.906169i | ||||||
−0.422917 | + | 0.906169i | ||||||||
0 | 0 | |||||||||
−0.273346 | −0.0143866 | |||||||||
0 | 0 | |||||||||
−8.44659 | + | 16.3029i | −0.443331 | + | 0.855680i | |||||
0 | 0 | |||||||||
5.32383 | + | 9.22115i | 0.278662 | + | 0.482657i | |||||
0 | 0 | |||||||||
6.79893 | − | 11.7761i | 0.354901 | − | 0.614707i | −0.632200 | − | 0.774805i | ||
0.987101 | + | 0.160099i | ||||||||
0 | 0 | |||||||||
0.816635 | − | 0.0746406i | 0.0425123 | − | 0.00388563i | |||||
0 | 0 | |||||||||
2.52704 | − | 4.37697i | 0.131197 | − | 0.227241i | |||||
0 | 0 | |||||||||
10.9641 | + | 18.9904i | 0.567700 | + | 0.983285i | 0.996793 | + | 0.0800246i | ||
−0.429093 | + | 0.903260i | ||||||||
0 | 0 | |||||||||
9.06294 | + | 14.1652i | 0.468008 | + | 0.731490i | |||||
0 | 0 | |||||||||
−49.5801 | −2.55351 | |||||||||
0 | 0 | |||||||||
−29.7965 | −1.53054 | −0.765271 | − | 0.643708i | ||||||
−0.765271 | + | 0.643708i | ||||||||
0 | 0 | |||||||||
0.765475 | + | 1.19643i | 0.0392165 | + | 0.0612948i | |||||
0 | 0 | |||||||||
0.0109905 | + | 0.0190361i | 0.000561587 | + | 0.000972697i | 0.866306 | − | 0.499514i | ||
−0.865744 | + | 0.500486i | ||||||||
0 | 0 | |||||||||
5.71780 | − | 9.90352i | 0.291406 | − | 0.504730i | |||||
0 | 0 | |||||||||
8.36546 | + | 11.8490i | 0.425240 | + | 0.602318i | |||||
0 | 0 | |||||||||
17.6783 | − | 30.6197i | 0.896326 | − | 1.55248i | 0.0641702 | − | 0.997939i | ||
0.832155 | − | 0.554543i | ||||||||
0 | 0 | |||||||||
13.2434 | + | 22.9382i | 0.669746 | + | 1.16003i | |||||
0 | 0 | |||||||||
−6.20535 | + | 11.9770i | −0.313018 | + | 0.604162i | |||||
0 | 0 | |||||||||
15.8348 | 0.796736 | |||||||||
0 | 0 | |||||||||
−16.9430 | −0.850344 | −0.425172 | − | 0.905112i | ||||||
−0.425172 | + | 0.905112i | ||||||||
0 | 0 | |||||||||
−7.48755 | + | 0.341470i | −0.374846 | + | 0.0170949i | |||||
0 | 0 | |||||||||
1.48181 | + | 2.56657i | 0.0739982 | + | 0.128169i | 0.900650 | − | 0.434545i | ||
−0.826652 | + | 0.562713i | ||||||||
0 | 0 | |||||||||
26.2345 | − | 45.4395i | 1.30683 | − | 2.26350i | |||||
0 | 0 | |||||||||
−7.41216 | + | 20.8672i | −0.368313 | + | 1.03690i | |||||
0 | 0 | |||||||||
1.68862 | − | 2.92478i | 0.0837018 | − | 0.144976i | |||||
0 | 0 | |||||||||
7.32743 | + | 12.6915i | 0.362318 | + | 0.627553i | 0.988342 | − | 0.152251i | ||
−0.626024 | + | 0.779804i | ||||||||
0 | 0 | |||||||||
−5.17830 | + | 0.236157i | −0.255427 | + | 0.0116488i | |||||
0 | 0 | |||||||||
−9.13307 | −0.449409 | |||||||||
0 | 0 | |||||||||
3.65486 | 0.179410 | |||||||||
0 | 0 | |||||||||
−5.04163 | + | 9.73093i | −0.246890 | + | 0.476526i | |||||
0 | 0 | |||||||||
12.6352 | + | 21.8848i | 0.617270 | + | 1.06914i | 0.989982 | + | 0.141196i | ||
−0.372711 | + | 0.927947i | ||||||||
0 | 0 | |||||||||
7.99854 | − | 13.8539i | 0.389825 | − | 0.675196i | −0.602601 | − | 0.798043i | ||
0.992426 | + | 0.122846i | ||||||||
0 | 0 | |||||||||
−6.35447 | − | 9.00059i | −0.308965 | − | 0.437624i | |||||
0 | 0 | |||||||||
2.37938 | − | 4.12120i | 0.115417 | − | 0.199908i | |||||
0 | 0 | |||||||||
−6.90856 | − | 11.9660i | −0.334328 | − | 0.579074i | |||||
0 | 0 | |||||||||
−30.8382 | − | 48.1997i | −1.48888 | − | 2.32710i | |||||
0 | 0 | |||||||||
13.0335 | 0.627799 | 0.313900 | − | 0.949456i | ||||||
0.313900 | + | 0.949456i | ||||||||
0 | 0 | |||||||||
23.5467 | 1.13158 | 0.565791 | − | 0.824549i | ||||||
0.565791 | + | 0.824549i | ||||||||
0 | 0 | |||||||||
16.0203 | + | 25.0395i | 0.768116 | + | 1.20055i | |||||
0 | 0 | |||||||||
−12.6944 | − | 21.9873i | −0.607253 | − | 1.05179i | |||||
0 | 0 | |||||||||
−3.35447 | + | 5.81012i | −0.160100 | + | 0.277302i | −0.934904 | − | 0.354900i | ||
0.774804 | + | 0.632201i | ||||||||
0 | 0 | |||||||||
2.98755 | − | 0.273062i | 0.142264 | − | 0.0130030i | |||||
0 | 0 | |||||||||
−17.6228 | + | 30.5235i | −0.837282 | + | 1.45022i | 0.0548760 | + | 0.998493i | ||
−0.892158 | + | 0.451723i | ||||||||
0 | 0 | |||||||||
−12.0993 | − | 20.9566i | −0.573562 | − | 0.993439i | |||||
0 | 0 | |||||||||
3.49115 | − | 6.73832i | 0.165126 | − | 0.318711i | |||||
0 | 0 | |||||||||
−12.9387 | −0.610616 | −0.305308 | − | 0.952254i | ||||||
−0.305308 | + | 0.952254i | ||||||||
0 | 0 | |||||||||
1.27042 | 0.0598218 | |||||||||
0 | 0 | |||||||||
11.4210 | − | 0.520856i | 0.536606 | − | 0.0244719i | |||||
0 | 0 | |||||||||
8.74484 | + | 15.1465i | 0.409964 | + | 0.710079i | |||||
0 | 0 | |||||||||
14.5993 | − | 25.2868i | 0.682927 | − | 1.18286i | −0.291156 | − | 0.956675i | ||
0.974083 | − | 0.226189i | ||||||||
0 | 0 | |||||||||
−23.2396 | + | 3.19727i | −1.08473 | + | 0.149236i | |||||
0 | 0 | |||||||||
9.34348 | − | 16.1834i | 0.435169 | − | 0.753735i | −0.562140 | − | 0.827042i | ||
0.997309 | + | 0.0733066i | ||||||||
0 | 0 | |||||||||
19.1249 | + | 33.1253i | 0.888809 | + | 1.53946i | 0.841285 | + | 0.540593i | ||
0.0475247 | + | 0.998870i | ||||||||
0 | 0 | |||||||||
−31.4253 | + | 1.43315i | −1.45731 | + | 0.0664608i | |||||
0 | 0 | |||||||||
−15.2877 | −0.707432 | −0.353716 | − | 0.935353i | ||||||
−0.353716 | + | 0.935353i | ||||||||
0 | 0 | |||||||||
1.32743 | 0.0612950 | |||||||||
0 | 0 | |||||||||
4.60603 | − | 8.89018i | 0.212235 | − | 0.409638i | |||||
0 | 0 | |||||||||
11.2353 | + | 19.4601i | 0.516600 | + | 0.894778i | |||||
0 | 0 | |||||||||
−2.28074 | + | 3.95035i | −0.104647 | + | 0.181255i | |||||
0 | 0 | |||||||||
−6.35447 | + | 13.7664i | −0.290951 | + | 0.630322i | |||||
0 | 0 | |||||||||
−5.51605 | + | 9.55408i | −0.252035 | + | 0.436537i | −0.964086 | − | 0.265591i | ||
0.712051 | + | 0.702128i | ||||||||
0 | 0 | |||||||||
2.58259 | + | 4.47318i | 0.117756 | + | 0.203959i | |||||
0 | 0 | |||||||||
5.47656 | + | 8.55978i | 0.249192 | + | 0.389483i | |||||
0 | 0 | |||||||||
−1.21206 | −0.0550370 | |||||||||
0 | 0 | |||||||||
16.6008 | 0.752253 | 0.376126 | − | 0.926568i | ||||||
0.376126 | + | 0.926568i | ||||||||
0 | 0 | |||||||||
−6.83988 | − | 10.6906i | −0.309310 | − | 0.483447i | |||||
0 | 0 | |||||||||
13.3633 | + | 23.1460i | 0.603079 | + | 1.04456i | 0.992352 | + | 0.123440i | ||
−0.389273 | + | 0.921122i | ||||||||
0 | 0 | |||||||||
−15.7448 | + | 27.2709i | −0.709112 | + | 1.22822i | |||||
0 | 0 | |||||||||
−14.3779 | + | 31.1485i | −0.646239 | + | 1.40002i | |||||
0 | 0 | |||||||||
6.76089 | − | 11.7102i | 0.303268 | − | 0.525275i | |||||
0 | 0 | |||||||||
−0.618485 | − | 1.07125i | −0.0276872 | − | 0.0479557i | 0.851850 | − | 0.523786i | ||
−0.879537 | + | 0.475830i | ||||||||
0 | 0 | |||||||||
9.58472 | − | 18.4996i | 0.428214 | − | 0.826503i | |||||
0 | 0 | |||||||||
−1.07179 | −0.0477889 | −0.0238944 | − | 0.999714i | ||||||
−0.0238944 | + | 0.999714i | ||||||||
0 | 0 | |||||||||
8.38151 | 0.372973 | |||||||||
0 | 0 | |||||||||
64.9296 | − | 2.96112i | 2.88362 | − | 0.131508i | |||||
0 | 0 | |||||||||
−10.0344 | − | 17.3801i | −0.444768 | − | 0.770362i | 0.553268 | − | 0.833004i | ||
−0.998036 | + | 0.0626420i | ||||||||
0 | 0 | |||||||||
−2.16372 | + | 3.74766i | −0.0957171 | + | 0.165787i | |||||
0 | 0 | |||||||||
22.2762 | − | 3.06472i | 0.983516 | − | 0.135311i | |||||
0 | 0 | |||||||||
−6.35087 | + | 11.0000i | −0.279853 | + | 0.484720i | |||||
0 | 0 | |||||||||
−8.53443 | − | 14.7821i | −0.375344 | − | 0.650115i | |||||
0 | 0 | |||||||||
8.47656 | − | 0.386574i | 0.372080 | − | 0.0169687i | |||||
0 | 0 | |||||||||
−30.8860 | −1.35314 | −0.676570 | − | 0.736379i | ||||||
−0.676570 | + | 0.736379i | ||||||||
0 | 0 | |||||||||
−7.39922 | −0.323545 | −0.161773 | − | 0.986828i | ||||||
−0.161773 | + | 0.986828i | ||||||||
0 | 0 | |||||||||
0.839883 | − | 1.62107i | 0.0366555 | − | 0.0707494i | |||||
0 | 0 | |||||||||
−16.6623 | − | 28.8599i | −0.725819 | − | 1.25716i | |||||
0 | 0 | |||||||||
−5.71041 | + | 9.89072i | −0.248279 | + | 0.430031i | |||||
0 | 0 | |||||||||
27.2855 | − | 2.49390i | 1.18409 | − | 0.108226i | |||||
0 | 0 | |||||||||
−0.971495 | + | 1.68268i | −0.0420801 | + | 0.0728849i | |||||
0 | 0 | |||||||||
7.08998 | + | 12.2802i | 0.306527 | + | 0.530920i | |||||
0 | 0 | |||||||||
1.66225 | + | 2.59808i | 0.0717315 | + | 0.112115i | |||||
0 | 0 | |||||||||
4.64766 | 0.200189 | |||||||||
0 | 0 | |||||||||
22.6696 | 0.974644 | 0.487322 | − | 0.873222i | ||||||
0.487322 | + | 0.873222i | ||||||||
0 | 0 | |||||||||
15.8157 | + | 24.7196i | 0.678715 | + | 1.06082i | |||||
0 | 0 | |||||||||
11.0505 | + | 19.1400i | 0.473351 | + | 0.819868i | |||||
0 | 0 | |||||||||
3.07373 | − | 5.32386i | 0.131423 | − | 0.227632i | −0.792802 | − | 0.609479i | ||
0.924225 | + | 0.381847i | ||||||||
0 | 0 | |||||||||
23.9071 | + | 33.8624i | 1.02033 | + | 1.44521i | |||||
0 | 0 | |||||||||
15.0921 | − | 26.1403i | 0.642946 | − | 1.11361i | |||||
0 | 0 | |||||||||
3.21780 | + | 5.57339i | 0.136835 | + | 0.237005i | |||||
0 | 0 | |||||||||
1.42461 | − | 2.74966i | 0.0604713 | − | 0.116717i | |||||
0 | 0 | |||||||||
29.6739 | 1.25732 | 0.628662 | − | 0.777679i | ||||||
0.628662 | + | 0.777679i | ||||||||
0 | 0 | |||||||||
−34.3667 | −1.45356 | |||||||||
0 | 0 | |||||||||
−36.3047 | + | 1.65568i | −1.53278 | + | 0.0699027i | |||||
0 | 0 | |||||||||
14.6555 | + | 25.3841i | 0.617657 | + | 1.06981i | 0.989912 | + | 0.141683i | ||
−0.372255 | + | 0.928131i | ||||||||
0 | 0 | |||||||||
1.67257 | − | 2.89698i | 0.0703655 | − | 0.121877i | |||||
0 | 0 | |||||||||
−8.85087 | + | 1.63157i | −0.371702 | + | 0.0685196i | |||||
0 | 0 | |||||||||
18.4430 | − | 31.9442i | 0.773170 | − | 1.33917i | −0.162647 | − | 0.986684i | ||
0.935817 | − | 0.352486i | ||||||||
0 | 0 | |||||||||
−16.1893 | − | 28.0407i | −0.677501 | − | 1.17347i | −0.975731 | − | 0.218972i | ||
0.298230 | − | 0.954494i | ||||||||
0 | 0 | |||||||||
−9.49854 | + | 0.433181i | −0.396807 | + | 0.0180964i | |||||
0 | 0 | |||||||||
6.18423 | 0.257900 | |||||||||
0 | 0 | |||||||||
23.0187 | 0.958280 | 0.479140 | − | 0.877739i | ||||||
0.479140 | + | 0.877739i | ||||||||
0 | 0 | |||||||||
4.38823 | − | 8.46980i | 0.182369 | − | 0.351993i | |||||
0 | 0 | |||||||||
0.742705 | + | 1.28640i | 0.0308126 | + | 0.0533690i | |||||
0 | 0 | |||||||||
−11.7448 | + | 20.3427i | −0.486422 | + | 0.842507i | |||||
0 | 0 | |||||||||
−30.2616 | − | 42.8630i | −1.25116 | − | 1.77217i | |||||
0 | 0 | |||||||||
−2.87052 | + | 4.97189i | −0.118479 | + | 0.205212i | −0.919165 | − | 0.393872i | ||
0.800686 | + | 0.599084i | ||||||||
0 | 0 | |||||||||
15.9715 | + | 27.6634i | 0.658094 | + | 1.13985i | |||||
0 | 0 | |||||||||
−10.8561 | − | 16.9680i | −0.446562 | − | 0.697969i | |||||
0 | 0 | |||||||||
27.7453 | 1.13936 | 0.569682 | − | 0.821865i | ||||||
0.569682 | + | 0.821865i | ||||||||
0 | 0 | |||||||||
11.1082 | 0.455391 | |||||||||
0 | 0 | |||||||||
3.87151 | + | 6.05111i | 0.158450 | + | 0.247655i | |||||
0 | 0 | |||||||||
−2.05408 | − | 3.55778i | −0.0839276 | − | 0.145367i | 0.821006 | − | 0.570919i | ||
−0.904934 | + | 0.425552i | ||||||||
0 | 0 | |||||||||
−7.80924 | + | 13.5260i | −0.318546 | + | 0.551737i | −0.980185 | − | 0.198085i | ||
0.661639 | + | 0.749822i | ||||||||
0 | 0 | |||||||||
−3.96576 | + | 0.362471i | −0.161498 | + | 0.0147610i | |||||
0 | 0 | |||||||||
−13.0416 | + | 22.5888i | −0.530218 | + | 0.918364i | |||||
0 | 0 | |||||||||
0.280738 | + | 0.486253i | 0.0113948 | + | 0.0197364i | 0.871667 | − | 0.490099i | ||
−0.860272 | + | 0.509836i | ||||||||
0 | 0 | |||||||||
−5.55768 | + | 10.7270i | −0.225209 | + | 0.434679i | |||||
0 | 0 | |||||||||
26.1052 | 1.05611 | |||||||||
0 | 0 | |||||||||
−20.2016 | −0.815933 | −0.407967 | − | 0.912997i | ||||||
−0.407967 | + | 0.912997i | ||||||||
0 | 0 | |||||||||
1.16372 | − | 0.0530713i | 0.0469255 | − | 0.00214004i | |||||
0 | 0 | |||||||||
11.4569 | + | 19.8439i | 0.461238 | + | 0.798887i | 0.999023 | − | 0.0441948i | ||
−0.537785 | + | 0.843082i | ||||||||
0 | 0 | |||||||||
−19.8515 | + | 34.3839i | −0.797901 | + | 1.38201i | 0.123080 | + | 0.992397i | ||
−0.920981 | + | 0.389608i | ||||||||
0 | 0 | |||||||||
−18.6988 | − | 24.0773i | −0.750358 | − | 0.966188i | |||||
0 | 0 | |||||||||
4.91741 | − | 8.51721i | 0.197012 | − | 0.341235i | |||||
0 | 0 | |||||||||
14.5797 | + | 25.2527i | 0.583187 | + | 1.01011i | |||||
0 | 0 | |||||||||
34.7996 | − | 1.58704i | 1.38976 | − | 0.0633802i | |||||
0 | 0 | |||||||||
3.28054 | 0.130804 | |||||||||
0 | 0 | |||||||||
−31.0364 | −1.23554 | −0.617769 | − | 0.786359i | ||||||
−0.617769 | + | 0.786359i | ||||||||
0 | 0 | |||||||||
21.6857 | − | 41.8559i | 0.861929 | − | 1.66362i | |||||
0 | 0 | |||||||||
1.00885 | + | 1.74739i | 0.0400352 | + | 0.0693429i | |||||
0 | 0 | |||||||||
−3.55408 | + | 6.15585i | −0.140818 | + | 0.243904i | |||||
0 | 0 | |||||||||
−17.0009 | + | 36.8309i | −0.672544 | + | 1.45701i | |||||
0 | 0 | |||||||||
14.7932 | − | 25.6226i | 0.584296 | − | 1.01203i | −0.410667 | − | 0.911785i | ||
0.994963 | − | 0.100245i | ||||||||
0 | 0 | |||||||||
−12.8442 | − | 22.2467i | −0.506524 | − | 0.877325i | −0.999972 | − | 0.00754978i | ||
0.493447 | − | 0.869776i | ||||||||
0 | 0 | |||||||||
11.1046 | + | 17.3563i | 0.437242 | + | 0.683403i | |||||
0 | 0 | |||||||||
17.0177 | 0.669035 | 0.334518 | − | 0.942390i | ||||||
0.334518 | + | 0.942390i | ||||||||
0 | 0 | |||||||||
42.4475 | 1.66621 | |||||||||
0 | 0 | |||||||||
−6.89037 | − | 10.7695i | −0.270055 | − | 0.422092i | |||||
0 | 0 | |||||||||
−0.735508 | − | 1.27394i | −0.0287827 | − | 0.0498530i | 0.851275 | − | 0.524719i | ||
−0.880058 | + | 0.474866i | ||||||||
0 | 0 | |||||||||
−9.58113 | + | 16.5950i | −0.374366 | + | 0.648420i | |||||
0 | 0 | |||||||||
5.44085 | − | 11.7872i | 0.212268 | − | 0.459861i | |||||
0 | 0 | |||||||||
20.7003 | − | 35.8539i | 0.806369 | − | 1.39667i | −0.108995 | − | 0.994042i | ||
0.915363 | − | 0.402629i | ||||||||
0 | 0 | |||||||||
−19.1352 | − | 33.1432i | −0.744273 | − | 1.28912i | −0.950533 | − | 0.310622i | ||
0.206260 | − | 0.978497i | ||||||||
0 | 0 | |||||||||
25.5693 | − | 49.3518i | 0.993031 | − | 1.91667i | |||||
0 | 0 | |||||||||
−10.6477 | −0.412899 | |||||||||
0 | 0 | |||||||||
−40.9224 | −1.58452 | |||||||||
0 | 0 | |||||||||
−5.56507 | + | 0.253795i | −0.215158 | + | 0.00981230i | |||||
0 | 0 | |||||||||
32.1086 | + | 55.6138i | 1.23954 | + | 2.14695i | |||||
0 | 0 | |||||||||
15.2448 | − | 26.4048i | 0.587645 | − | 1.01783i | −0.406894 | − | 0.913475i | ||
0.994540 | − | 0.104357i | ||||||||
0 | 0 | |||||||||
−2.06654 | + | 5.07237i | −0.0795411 | + | 0.195236i | |||||
0 | 0 | |||||||||
−22.4626 | + | 38.9064i | −0.863309 | + | 1.49530i | 0.00540665 | + | 0.999985i | ||
−0.868716 | + | 0.495310i | ||||||||
0 | 0 | |||||||||
−0.246304 | − | 0.426611i | −0.00945228 | − | 0.0163718i | |||||
0 | 0 | |||||||||
27.5905 | − | 1.25826i | 1.05727 | − | 0.0482168i | |||||
0 | 0 | |||||||||
−48.3973 | −1.85187 | −0.925935 | − | 0.377683i | ||||||
−0.925935 | + | 0.377683i | ||||||||
0 | 0 | |||||||||
−7.36381 | −0.281357 | |||||||||
0 | 0 | |||||||||
0.969165 | − | 1.87060i | 0.0369759 | − | 0.0713679i | |||||
0 | 0 | |||||||||
−17.9626 | − | 31.1122i | −0.684322 | − | 1.18528i | |||||
0 | 0 | |||||||||
−9.19076 | + | 15.9189i | −0.349633 | + | 0.605582i | −0.986184 | − | 0.165652i | ||
0.636551 | + | 0.771234i | ||||||||
0 | 0 | |||||||||
−13.8851 | + | 1.26910i | −0.527452 | + | 0.0482092i | |||||
0 | 0 | |||||||||
−7.78434 | + | 13.4829i | −0.295277 | + | 0.511434i | |||||
0 | 0 | |||||||||
0.617023 | + | 1.06871i | 0.0233714 | + | 0.0404805i | |||||
0 | 0 | |||||||||
−18.6433 | − | 29.1392i | −0.705153 | − | 1.10214i | |||||
0 | 0 | |||||||||
−27.0292 | −1.02088 | −0.510439 | − | 0.859914i | ||||||
−0.510439 | + | 0.859914i | ||||||||
0 | 0 | |||||||||
−3.14454 | −0.118599 | |||||||||
0 | 0 | |||||||||
−8.43512 | − | 13.1840i | −0.317685 | − | 0.496537i | |||||
0 | 0 | |||||||||
1.70321 | + | 2.95005i | 0.0640558 | + | 0.110948i | |||||
0 | 0 | |||||||||
−2.49261 | + | 4.31732i | −0.0936119 | + | 0.162141i | −0.909028 | − | 0.416734i | ||
0.815417 | + | 0.578875i | ||||||||
0 | 0 | |||||||||
−11.1352 | − | 15.7721i | −0.417603 | − | 0.591500i | |||||
0 | 0 | |||||||||
21.6534 | − | 37.5048i | 0.810926 | − | 1.40457i | |||||
0 | 0 | |||||||||
−40.6431 | − | 70.3959i | −1.51997 | − | 2.63266i | |||||
0 | 0 | |||||||||
−4.79252 | + | 9.25012i | −0.178980 | + | 0.345452i | |||||
0 | 0 | |||||||||
15.6942 | 0.585293 | 0.292647 | − | 0.956221i | ||||||
0.292647 | + | 0.956221i | ||||||||
0 | 0 | |||||||||
−5.16225 | −0.192252 | |||||||||
0 | 0 | |||||||||
−32.2096 | + | 1.46892i | −1.19789 | + | 0.0546298i | |||||
0 | 0 | |||||||||
3.67617 | + | 6.36731i | 0.136529 | + | 0.236476i | |||||
0 | 0 | |||||||||
−10.9071 | + | 18.8916i | −0.404522 | + | 0.700652i | −0.994266 | − | 0.106938i | ||
0.589744 | + | 0.807590i | ||||||||
0 | 0 | |||||||||
25.9969 | − | 7.29124i | 0.962847 | − | 0.270046i | |||||
0 | 0 | |||||||||
−10.9136 | + | 18.9029i | −0.403655 | + | 0.699151i | |||||
0 | 0 | |||||||||
12.0074 | + | 20.7974i | 0.443503 | + | 0.768170i | 0.997947 | − | 0.0640514i | ||
−0.554443 | + | 0.832221i | ||||||||
0 | 0 | |||||||||
4.25729 | − | 0.194154i | 0.157033 | − | 0.00716148i | |||||
0 | 0 | |||||||||
−6.16945 | −0.227255 | |||||||||
0 | 0 | |||||||||
18.7089 | 0.688220 | 0.344110 | − | 0.938929i | ||||||
0.344110 | + | 0.938929i | ||||||||
0 | 0 | |||||||||
−24.5093 | + | 47.3059i | −0.900373 | + | 1.73782i | |||||
0 | 0 | |||||||||
20.1534 | + | 34.9067i | 0.739356 | + | 1.28060i | 0.952785 | + | 0.303644i | ||
−0.213429 | + | 0.976959i | ||||||||
0 | 0 | |||||||||
5.39037 | − | 9.33639i | 0.197488 | − | 0.342059i | |||||
0 | 0 | |||||||||
−2.57014 | − | 3.64039i | −0.0940364 | − | 0.133195i | |||||
0 | 0 | |||||||||
−2.88151 | + | 4.99093i | −0.105288 | + | 0.182365i | |||||
0 | 0 | |||||||||
10.5629 | + | 18.2955i | 0.385447 | + | 0.667614i | 0.991831 | − | 0.127558i | ||
−0.606384 | + | 0.795172i | ||||||||
0 | 0 | |||||||||
−6.53151 | − | 10.2087i | −0.238021 | − | 0.372024i | |||||
0 | 0 | |||||||||
16.2412 | 0.591079 | |||||||||
0 | 0 | |||||||||
8.85934 | 0.321998 | 0.160999 | − | 0.986955i | ||||||
0.160999 | + | 0.986955i | ||||||||
0 | 0 | |||||||||
−25.4532 | − | 39.7830i | −0.923892 | − | 1.44403i | |||||
0 | 0 | |||||||||
−0.694551 | − | 1.20300i | −0.0251774 | − | 0.0436086i | 0.853162 | − | 0.521646i | ||
−0.878340 | + | 0.478037i | ||||||||
0 | 0 | |||||||||
−4.49115 | + | 7.77889i | −0.162590 | + | 0.281615i | |||||
0 | 0 | |||||||||
−33.1862 | + | 3.03322i | −1.19985 | + | 0.109666i | |||||
0 | 0 | |||||||||
−32.4597 | + | 56.2219i | −1.17205 | + | 2.03005i | |||||
0 | 0 | |||||||||
18.9626 | + | 32.8443i | 0.683810 | + | 1.18439i | 0.973809 | + | 0.227367i | ||
−0.289999 | + | 0.957027i | ||||||||
0 | 0 | |||||||||
14.1652 | − | 27.3404i | 0.510146 | − | 0.984642i | |||||
0 | 0 | |||||||||
1.31596 | 0.0473318 | 0.0236659 | − | 0.999720i | ||||||
0.0236659 | + | 0.999720i | ||||||||
0 | 0 | |||||||||
−7.78074 | −0.279492 | |||||||||
0 | 0 | |||||||||
1.25729 | − | 0.0573390i | 0.0451052 | − | 0.00205702i | |||||
0 | 0 | |||||||||
−0.591443 | − | 1.02441i | −0.0211907 | − | 0.0367033i | |||||
0 | 0 | |||||||||
−31.4224 | + | 54.4251i | −1.12438 | + | 1.94748i | |||||
0 | 0 | |||||||||
13.6747 | − | 33.5649i | 0.488694 | − | 1.19951i | |||||
0 | 0 | |||||||||
7.11177 | − | 12.3179i | 0.253830 | − | 0.439646i | |||||
0 | 0 | |||||||||
−6.12928 | − | 10.6162i | −0.218485 | − | 0.378428i | 0.735860 | − | 0.677134i | ||
−0.954345 | + | 0.298706i | ||||||||
0 | 0 | |||||||||
−47.0605 | + | 2.14620i | −1.67540 | + | 0.0764066i | |||||
0 | 0 | |||||||||
1.35953 | 0.0483395 | |||||||||
0 | 0 | |||||||||
−98.2144 | −3.48769 | |||||||||
0 | 0 | |||||||||
−9.90856 | + | 19.1247i | −0.351420 | + | 0.678282i | |||||
0 | 0 | |||||||||
−10.7178 | − | 18.5638i | −0.379644 | − | 0.657563i | 0.611366 | − | 0.791348i | ||
−0.991010 | + | 0.133785i | ||||||||
0 | 0 | |||||||||
8.29007 | − | 14.3588i | 0.293282 | − | 0.507979i | |||||
0 | 0 | |||||||||
−12.3653 | + | 26.7883i | −0.436905 | + | 0.946518i | |||||
0 | 0 | |||||||||
10.0562 | − | 17.4179i | 0.354876 | − | 0.614664i | |||||
0 | 0 | |||||||||
7.21780 | + | 12.5016i | 0.254394 | + | 0.440623i | |||||
0 | 0 | |||||||||
−22.3061 | − | 34.8641i | −0.785213 | − | 1.22728i | |||||
0 | 0 | |||||||||
26.6955 | 0.938564 | 0.469282 | − | 0.883048i | ||||||
0.469282 | + | 0.883048i | ||||||||
0 | 0 | |||||||||
38.2852 | 1.34438 | 0.672188 | − | 0.740381i | ||||||
0.672188 | + | 0.740381i | ||||||||
0 | 0 | |||||||||
−11.4567 | − | 17.9067i | −0.401804 | − | 0.628014i | |||||
0 | 0 | |||||||||
−9.01459 | − | 15.6137i | −0.315767 | − | 0.546925i | |||||
0 | 0 | |||||||||
10.4612 | − | 18.1193i | 0.365990 | − | 0.633914i | |||||
0 | 0 | |||||||||
8.93706 | − | 19.3614i | 0.312286 | − | 0.676542i | |||||
0 | 0 | |||||||||
5.24990 | − | 9.09310i | 0.183223 | − | 0.317351i | −0.759753 | − | 0.650211i | ||
0.942976 | + | 0.332860i | ||||||||
0 | 0 | |||||||||
−8.00000 | − | 13.8564i | −0.278862 | − | 0.483004i | 0.692240 | − | 0.721668i | ||
−0.971102 | + | 0.238664i | ||||||||
0 | 0 | |||||||||
−3.90350 | + | 7.53420i | −0.135902 | + | 0.262307i | |||||
0 | 0 | |||||||||
−48.7817 | −1.69631 | −0.848153 | − | 0.529752i | ||||||
−0.848153 | + | 0.529752i | ||||||||
0 | 0 | |||||||||
−6.21926 | −0.216004 | −0.108002 | − | 0.994151i | ||||||
−0.108002 | + | 0.994151i | ||||||||
0 | 0 | |||||||||
22.1139 | − | 1.00851i | 0.767123 | − | 0.0349847i | |||||
0 | 0 | |||||||||
2.25729 | + | 3.90975i | 0.0782106 | + | 0.135465i | |||||
0 | 0 | |||||||||
14.7989 | − | 25.6325i | 0.512138 | − | 0.887049i | |||||
0 | 0 | |||||||||
23.5261 | + | 30.2930i | 0.813180 | + | 1.04708i | |||||
0 | 0 | |||||||||
21.0366 | − | 36.4364i | 0.726263 | − | 1.25792i | −0.232189 | − | 0.972671i | ||
0.958452 | − | 0.285254i | ||||||||
0 | 0 | |||||||||
−9.82597 | − | 17.0191i | −0.338826 | − | 0.586865i | |||||
0 | 0 | |||||||||
−49.3374 | + | 2.25004i | −1.69927 | + | 0.0774954i | |||||
0 | 0 | |||||||||
92.3330 | 3.17635 | |||||||||
0 | 0 | |||||||||
−10.6008 | −0.364247 | |||||||||
0 | 0 | |||||||||
−0.578990 | + | 1.11752i | −0.0198709 | + | 0.0383531i | |||||
0 | 0 | |||||||||
2.13161 | + | 3.69206i | 0.0730707 | + | 0.126562i | |||||
0 | 0 | |||||||||
6.72519 | − | 11.6484i | 0.230266 | − | 0.398833i | −0.727620 | − | 0.685980i | ||
0.957886 | + | 0.287147i | ||||||||
0 | 0 | |||||||||
31.8104 | − | 2.90748i | 1.08789 | − | 0.0994336i | |||||
0 | 0 | |||||||||
−20.6893 | + | 35.8349i | −0.706733 | + | 1.22410i | 0.259330 | + | 0.965789i | ||
−0.966063 | + | 0.258308i | ||||||||
0 | 0 | |||||||||
19.8815 | + | 34.4358i | 0.678349 | + | 1.17493i | 0.975478 | + | 0.220097i | ||
−0.297129 | + | 0.954837i | ||||||||
0 | 0 | |||||||||
0.255158 | + | 0.398809i | 0.00869578 | + | 0.0135914i | |||||
0 | 0 | |||||||||
53.3858 | 1.81727 | 0.908637 | − | 0.417588i | ||||||
0.908637 | + | 0.417588i | ||||||||
0 | 0 | |||||||||
12.0541 | 0.409851 | |||||||||
0 | 0 | |||||||||
−3.15652 | − | 4.93359i | −0.107201 | − | 0.167554i | |||||
0 | 0 | |||||||||
−14.9552 | − | 25.9033i | −0.507322 | − | 0.878708i | |||||
0 | 0 | |||||||||
4.71780 | − | 8.17147i | 0.159857 | − | 0.276880i | |||||
0 | 0 | |||||||||
0.852336 | + | 1.20726i | 0.0288472 | + | 0.0408597i | |||||
0 | 0 | |||||||||
−4.85447 | + | 8.40819i | −0.164111 | + | 0.284249i | |||||
0 | 0 | |||||||||
3.42674 | + | 5.93530i | 0.115713 | + | 0.200421i | 0.918065 | − | 0.396431i | ||
−0.802352 | + | 0.596852i | ||||||||
0 | 0 | |||||||||
−20.3820 | + | 39.3396i | −0.687468 | + | 1.32689i | |||||
0 | 0 | |||||||||
−12.5103 | −0.421483 | −0.210742 | − | 0.977542i | ||||||
−0.210742 | + | 0.977542i | ||||||||
0 | 0 | |||||||||
6.69124 | 0.225178 | 0.112589 | − | 0.993642i | ||||||
0.112589 | + | 0.993642i | ||||||||
0 | 0 | |||||||||
38.8822 | − | 1.77322i | 1.30701 | − | 0.0596063i | |||||
0 | 0 | |||||||||
−16.0708 | − | 27.8355i | −0.539605 | − | 0.934623i | −0.998925 | − | 0.0463524i | ||
0.459320 | − | 0.888271i | ||||||||
0 | 0 | |||||||||
−0.410019 | + | 0.710174i | −0.0137516 | + | 0.0238185i | |||||
0 | 0 | |||||||||
41.1359 | − | 7.58300i | 1.37810 | − | 0.254040i | |||||
0 | 0 | |||||||||
−7.94639 | + | 13.7636i | −0.265916 | + | 0.460580i | |||||
0 | 0 | |||||||||
2.19076 | + | 3.79450i | 0.0732289 | + | 0.126836i | |||||
0 | 0 | |||||||||
72.1569 | − | 3.29072i | 2.40925 | − | 0.109874i | |||||
0 | 0 | |||||||||
51.4868 | 1.71718 | |||||||||
0 | 0 | |||||||||
−22.8171 | −0.760148 | |||||||||
0 | 0 | |||||||||
−3.85234 | + | 7.43546i | −0.128198 | + | 0.247437i | |||||
0 | 0 | |||||||||
20.8442 | + | 36.1031i | 0.692883 | + | 1.20011i | |||||
0 | 0 | |||||||||
15.7016 | − | 27.1959i | 0.521362 | − | 0.903025i | −0.478330 | − | 0.878180i | ||
0.999691 | − | 0.0248444i | ||||||||
0 | 0 | |||||||||
−5.89397 | − | 8.34832i | −0.195491 | − | 0.276896i | |||||
0 | 0 | |||||||||
−22.8982 | + | 39.6609i | −0.758653 | + | 1.31402i | 0.184885 | + | 0.982760i | ||
−0.943538 | + | 0.331265i | ||||||||
0 | 0 | |||||||||
−3.45185 | − | 5.97877i | −0.114239 | − | 0.197868i | |||||
0 | 0 | |||||||||
31.7350 | + | 49.6013i | 1.04913 | + | 1.63977i | |||||
0 | 0 | |||||||||
−7.78794 | −0.257180 | |||||||||
0 | 0 | |||||||||
27.1800 | 0.896584 | 0.448292 | − | 0.893887i | ||||||
0.448292 | + | 0.893887i | ||||||||
0 | 0 | |||||||||
5.81925 | + | 9.09540i | 0.191751 | + | 0.299704i | |||||
0 | 0 | |||||||||
−48.0576 | − | 83.2381i | −1.58183 | − | 2.73982i | |||||
0 | 0 | |||||||||
0.382977 | − | 0.663336i | 0.0125922 | − | 0.0218104i | |||||
0 | 0 | |||||||||
15.4225 | − | 1.40962i | 0.506540 | − | 0.0462979i | |||||
0 | 0 | |||||||||
20.3338 | − | 35.2192i | 0.667132 | − | 1.15551i | −0.311571 | − | 0.950223i | ||
0.978703 | − | 0.205283i | ||||||||
0 | 0 | |||||||||
−2.16372 | − | 3.74766i | −0.0709129 | − | 0.122825i | |||||
0 | 0 | |||||||||
−23.2968 | + | 44.9655i | −0.762703 | + | 1.47210i | |||||
0 | 0 | |||||||||
−51.6270 | −1.68838 | |||||||||
0 | 0 | |||||||||
16.4150 | 0.536254 | 0.268127 | − | 0.963384i | ||||||
0.268127 | + | 0.963384i | ||||||||
0 | 0 | |||||||||
49.2893 | − | 2.24784i | 1.60849 | − | 0.0733555i | |||||
0 | 0 | |||||||||
−3.66878 | − | 6.35451i | −0.119599 | − | 0.207151i | 0.800010 | − | 0.599987i | ||
−0.919609 | + | 0.392836i | ||||||||
0 | 0 | |||||||||
−0.801851 | + | 1.38885i | −0.0261119 | + | 0.0452271i | |||||
0 | 0 | |||||||||
−12.6659 | + | 1.74255i | −0.412020 | + | 0.0566852i | |||||
0 | 0 | |||||||||
−29.5562 | + | 51.1929i | −0.960448 | + | 1.66354i | −0.239071 | + | 0.971002i | ||
−0.721377 | + | 0.692543i | ||||||||
0 | 0 | |||||||||
15.3801 | + | 26.6390i | 0.499258 | + | 0.864740i | |||||
0 | 0 | |||||||||
2.80039 | − | 0.127712i | 0.0908088 | − | 0.00414134i | |||||
0 | 0 | |||||||||
−16.9354 | −0.548592 | −0.274296 | − | 0.961645i | ||||||
−0.274296 | + | 0.961645i | ||||||||
0 | 0 | |||||||||
−13.5074 | −0.437089 | |||||||||
0 | 0 | |||||||||
25.8302 | − | 49.8554i | 0.834973 | − | 1.61160i | |||||
0 | 0 | |||||||||
−1.49640 | − | 2.59184i | −0.0483213 | − | 0.0836950i | |||||
0 | 0 | |||||||||
−11.7434 | + | 20.3401i | −0.378819 | + | 0.656133i | |||||
0 | 0 | |||||||||
7.24583 | − | 15.6975i | 0.233493 | − | 0.505844i | |||||
0 | 0 | |||||||||
6.77548 | − | 11.7355i | 0.218110 | − | 0.377778i | |||||
0 | 0 | |||||||||
3.55555 | + | 6.15839i | 0.114339 | + | 0.198040i | 0.917515 | − | 0.397701i | ||
−0.803177 | + | 0.595741i | ||||||||
0 | 0 | |||||||||
18.2367 | + | 28.5036i | 0.585846 | + | 0.915669i | |||||
0 | 0 | |||||||||
−1.47102 | −0.0472072 | −0.0236036 | − | 0.999721i | ||||||
−0.0236036 | + | 0.999721i | ||||||||
0 | 0 | |||||||||
−6.32743 | −0.202848 | |||||||||
0 | 0 | |||||||||
−6.99407 | − | 10.9316i | −0.223990 | − | 0.350092i | |||||
0 | 0 | |||||||||
9.71634 | + | 16.8292i | 0.310853 | + | 0.538413i | 0.978547 | − | 0.206022i | ||
−0.667694 | + | 0.744436i | ||||||||
0 | 0 | |||||||||
−22.8545 | + | 39.5851i | −0.730432 | + | 1.26515i | |||||
0 | 0 | |||||||||
11.2934 | − | 24.4662i | 0.360570 | − | 0.781145i | |||||
0 | 0 | |||||||||
−3.87218 | + | 6.70681i | −0.123503 | + | 0.213914i | −0.921147 | − | 0.389215i | ||
0.797644 | + | 0.603129i | ||||||||
0 | 0 | |||||||||
−14.3078 | − | 24.7818i | −0.455884 | − | 0.789614i | |||||
0 | 0 | |||||||||
2.92627 | − | 5.64803i | 0.0931441 | − | 0.179779i | |||||
0 | 0 | |||||||||
−28.3655 | −0.901972 | |||||||||
0 | 0 | |||||||||
−14.4710 | −0.459687 | −0.229843 | − | 0.973228i | ||||||
−0.229843 | + | 0.973228i | ||||||||
0 | 0 | |||||||||
−24.1929 | + | 1.10332i | −0.767738 | + | 0.0350127i | |||||
0 | 0 | |||||||||
5.10243 | + | 8.83767i | 0.161758 | + | 0.280173i | |||||
0 | 0 | |||||||||
27.6549 | − | 47.8996i | 0.875838 | − | 1.51700i | 0.0199711 | − | 0.999801i | ||
0.855867 | − | 0.517196i | ||||||||
0 | 0 | |||||||||
−3.74057 | + | 0.514623i | −0.118346 | + | 0.0162819i |