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 | 85.1 | ||
Root | of defining polynomial | ||
Character | 252.85 | ||
Dual form | 252.2.j.a.169.1 |
-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
0 | 0 | |||||||||
−1.71053 | − | 0.272169i | −0.987577 | − | 0.157137i | |||||
0 | 0 | |||||||||
−0.119562 | + | 0.207087i | −0.0534696 | + | 0.0926120i | −0.891521 | − | 0.452979i | ||
0.838052 | + | 0.545591i | ||||||||
0 | 0 | |||||||||
0.500000 | + | 0.866025i | 0.188982 | + | 0.327327i | |||||
0 | 0 | |||||||||
2.85185 | + | 0.931107i | 0.950616 | + | 0.310369i | |||||
0 | 0 | |||||||||
2.56238 | + | 4.43818i | 0.772587 | + | 1.33816i | 0.936141 | + | 0.351626i | ||
−0.163554 | + | 0.986534i | ||||||||
0 | 0 | |||||||||
2.44282 | − | 4.23109i | 0.677516 | − | 1.17349i | −0.298210 | − | 0.954500i | ||
0.975727 | − | 0.218993i | ||||||||
0 | 0 | |||||||||
0.260877 | − | 0.321688i | 0.0673581 | − | 0.0830595i | |||||
0 | 0 | |||||||||
3.70370 | 0.898278 | 0.449139 | − | 0.893462i | ||||||
0.449139 | + | 0.893462i | ||||||||
0 | 0 | |||||||||
3.66019 | 0.839705 | 0.419853 | − | 0.907592i | ||||||
0.419853 | + | 0.907592i | ||||||||
0 | 0 | |||||||||
−0.619562 | − | 1.61745i | −0.135199 | − | 0.352956i | |||||
0 | 0 | |||||||||
−3.71053 | + | 6.42683i | −0.773700 | + | 1.34009i | 0.161823 | + | 0.986820i | ||
−0.935522 | + | 0.353267i | ||||||||
0 | 0 | |||||||||
2.47141 | + | 4.28061i | 0.494282 | + | 0.856122i | |||||
0 | 0 | |||||||||
−4.62476 | − | 2.36887i | −0.890036 | − | 0.455890i | |||||
0 | 0 | |||||||||
−1.73229 | − | 3.00041i | −0.321678 | − | 0.557162i | 0.659157 | − | 0.752006i | ||
−0.980834 | + | 0.194844i | ||||||||
0 | 0 | |||||||||
0.358685 | − | 0.621261i | 0.0644217 | − | 0.111582i | −0.832016 | − | 0.554752i | ||
0.896437 | + | 0.443171i | ||||||||
0 | 0 | |||||||||
−3.17511 | − | 8.28905i | −0.552715 | − | 1.44294i | |||||
0 | 0 | |||||||||
−0.239123 | −0.0404192 | |||||||||
0 | 0 | |||||||||
4.60301 | 0.756730 | 0.378365 | − | 0.925656i | ||||||
0.378365 | + | 0.925656i | ||||||||
0 | 0 | |||||||||
−5.33009 | + | 6.57256i | −0.853498 | + | 1.05245i | |||||
0 | 0 | |||||||||
−2.80150 | + | 4.85235i | −0.437522 | + | 0.757810i | −0.997498 | − | 0.0706992i | ||
0.559976 | + | 0.828509i | ||||||||
0 | 0 | |||||||||
−6.24433 | − | 10.8155i | −0.952251 | − | 1.64935i | −0.740538 | − | 0.672015i | ||
−0.211713 | − | 0.977332i | ||||||||
0 | 0 | |||||||||
−0.533792 | + | 0.479256i | −0.0795730 | + | 0.0714432i | |||||
0 | 0 | |||||||||
−2.16991 | − | 3.75839i | −0.316513 | − | 0.548217i | 0.663245 | − | 0.748403i | ||
−0.979758 | + | 0.200186i | ||||||||
0 | 0 | |||||||||
−0.500000 | + | 0.866025i | −0.0714286 | + | 0.123718i | |||||
0 | 0 | |||||||||
−6.33530 | − | 1.00803i | −0.887119 | − | 0.141152i | |||||
0 | 0 | |||||||||
−0.942820 | −0.129506 | −0.0647531 | − | 0.997901i | ||||||
−0.0647531 | + | 0.997901i | ||||||||
0 | 0 | |||||||||
−1.22545 | −0.165240 | |||||||||
0 | 0 | |||||||||
−6.26088 | − | 0.996189i | −0.829273 | − | 0.131948i | |||||
0 | 0 | |||||||||
−3.78947 | + | 6.56355i | −0.493347 | + | 0.854501i | −0.999971 | − | 0.00766579i | ||
0.506624 | + | 0.862167i | ||||||||
0 | 0 | |||||||||
−2.75404 | − | 4.77014i | −0.352619 | − | 0.610754i | 0.634089 | − | 0.773260i | ||
−0.986707 | + | 0.162507i | ||||||||
0 | 0 | |||||||||
0.619562 | + | 2.93533i | 0.0780574 | + | 0.369816i | |||||
0 | 0 | |||||||||
0.584135 | + | 1.01175i | 0.0724530 | + | 0.125492i | |||||
0 | 0 | |||||||||
0.330095 | − | 0.571741i | 0.0403275 | − | 0.0698493i | −0.845157 | − | 0.534518i | ||
0.885485 | + | 0.464669i | ||||||||
0 | 0 | |||||||||
8.09617 | − | 9.98342i | 0.974665 | − | 1.20186i | |||||
0 | 0 | |||||||||
13.7414 | 1.63081 | 0.815405 | − | 0.578891i | ||||||
0.815405 | + | 0.578891i | ||||||||
0 | 0 | |||||||||
−3.66019 | −0.428393 | −0.214196 | − | 0.976791i | ||||||
−0.214196 | + | 0.976791i | ||||||||
0 | 0 | |||||||||
−3.06238 | − | 7.99476i | −0.353613 | − | 0.923156i | |||||
0 | 0 | |||||||||
−2.56238 | + | 4.43818i | −0.292010 | + | 0.505777i | |||||
0 | 0 | |||||||||
3.11273 | + | 5.39140i | 0.350209 | + | 0.606580i | 0.986286 | − | 0.165046i | ||
−0.636077 | + | 0.771626i | ||||||||
0 | 0 | |||||||||
7.26608 | + | 5.31075i | 0.807342 | + | 0.590084i | |||||
0 | 0 | |||||||||
−4.85185 | − | 8.40365i | −0.532560 | − | 0.922420i | −0.999277 | − | 0.0380138i | ||
0.466718 | − | 0.884406i | ||||||||
0 | 0 | |||||||||
−0.442820 | + | 0.766987i | −0.0480306 | + | 0.0831914i | |||||
0 | 0 | |||||||||
2.14652 | + | 5.60377i | 0.230131 | + | 0.600788i | |||||
0 | 0 | |||||||||
−7.48865 | −0.793795 | −0.396898 | − | 0.917863i | ||||||
−0.396898 | + | 0.917863i | ||||||||
0 | 0 | |||||||||
4.88564 | 0.512154 | |||||||||
0 | 0 | |||||||||
−0.782630 | + | 0.965064i | −0.0811550 | + | 0.100072i | |||||
0 | 0 | |||||||||
−0.437618 | + | 0.757977i | −0.0448987 | + | 0.0777668i | |||||
0 | 0 | |||||||||
8.57442 | + | 14.8513i | 0.870600 | + | 1.50792i | 0.861377 | + | 0.507967i | ||
0.00922376 | + | 0.999957i | ||||||||
0 | 0 | |||||||||
3.17511 | + | 15.0429i | 0.319110 | + | 1.51186i | |||||
0 | 0 | |||||||||
−3.59097 | − | 6.21975i | −0.357315 | − | 0.618888i | 0.630196 | − | 0.776436i | ||
−0.987511 | + | 0.157548i | ||||||||
0 | 0 | |||||||||
6.41423 | − | 11.1098i | 0.632013 | − | 1.09468i | −0.355127 | − | 0.934818i | ||
0.987140 | − | 0.159860i | ||||||||
0 | 0 | |||||||||
0.409028 | + | 0.0650819i | 0.0399171 | + | 0.00635134i | |||||
0 | 0 | |||||||||
7.56526 | 0.731361 | 0.365681 | − | 0.930740i | ||||||
0.365681 | + | 0.930740i | ||||||||
0 | 0 | |||||||||
−6.98057 | −0.668617 | −0.334309 | − | 0.942464i | ||||||
−0.334309 | + | 0.942464i | ||||||||
0 | 0 | |||||||||
−7.87360 | − | 1.25280i | −0.747329 | − | 0.118910i | |||||
0 | 0 | |||||||||
9.78495 | − | 16.9480i | 0.920491 | − | 1.59434i | 0.121834 | − | 0.992550i | ||
0.798657 | − | 0.601787i | ||||||||
0 | 0 | |||||||||
−0.887275 | − | 1.53681i | −0.0827388 | − | 0.143308i | |||||
0 | 0 | |||||||||
10.9061 | − | 9.79190i | 1.00827 | − | 0.905261i | |||||
0 | 0 | |||||||||
1.85185 | + | 3.20750i | 0.169759 | + | 0.294031i | |||||
0 | 0 | |||||||||
−7.63160 | + | 13.2183i | −0.693782 | + | 1.20167i | |||||
0 | 0 | |||||||||
6.11273 | − | 7.53762i | 0.551166 | − | 0.679645i | |||||
0 | 0 | |||||||||
−2.37756 | −0.212655 | |||||||||
0 | 0 | |||||||||
−16.8090 | −1.49156 | −0.745780 | − | 0.666192i | ||||||
−0.745780 | + | 0.666192i | ||||||||
0 | 0 | |||||||||
7.73749 | + | 20.1998i | 0.681248 | + | 1.77849i | |||||
0 | 0 | |||||||||
−2.44966 | + | 4.24293i | −0.214027 | + | 0.370706i | −0.952971 | − | 0.303061i | ||
0.738944 | + | 0.673767i | ||||||||
0 | 0 | |||||||||
1.83009 | + | 3.16982i | 0.158689 | + | 0.274858i | |||||
0 | 0 | |||||||||
1.04351 | − | 0.674501i | 0.0898108 | − | 0.0580518i | |||||
0 | 0 | |||||||||
−2.72257 | − | 4.71563i | −0.232605 | − | 0.402884i | 0.725969 | − | 0.687727i | ||
−0.958574 | + | 0.284844i | ||||||||
0 | 0 | |||||||||
−2.83009 | + | 4.90187i | −0.240046 | + | 0.415771i | −0.960727 | − | 0.277495i | ||
0.720681 | + | 0.693266i | ||||||||
0 | 0 | |||||||||
2.68878 | + | 7.01942i | 0.226436 | + | 0.591142i | |||||
0 | 0 | |||||||||
25.0377 | 2.09376 | |||||||||
0 | 0 | |||||||||
0.828460 | 0.0687999 | |||||||||
0 | 0 | |||||||||
1.09097 | − | 1.34528i | 0.0899818 | − | 0.110957i | |||||
0 | 0 | |||||||||
−1.14132 | + | 1.97682i | −0.0935002 | + | 0.161947i | −0.908982 | − | 0.416836i | ||
0.815481 | + | 0.578783i | ||||||||
0 | 0 | |||||||||
−5.63160 | − | 9.75422i | −0.458293 | − | 0.793787i | 0.540578 | − | 0.841294i | ||
−0.998871 | + | 0.0475071i | ||||||||
0 | 0 | |||||||||
10.5624 | + | 3.44854i | 0.853918 | + | 0.278798i | |||||
0 | 0 | |||||||||
0.0857699 | + | 0.148558i | 0.00688921 | + | 0.0119325i | |||||
0 | 0 | |||||||||
−2.77292 | + | 4.80283i | −0.221303 | + | 0.383308i | −0.955204 | − | 0.295949i | ||
0.733901 | + | 0.679256i | ||||||||
0 | 0 | |||||||||
1.61273 | + | 0.256606i | 0.127897 | + | 0.0203502i | |||||
0 | 0 | |||||||||
−7.42107 | −0.584862 | |||||||||
0 | 0 | |||||||||
6.66019 | 0.521666 | 0.260833 | − | 0.965384i | ||||||
0.260833 | + | 0.965384i | ||||||||
0 | 0 | |||||||||
2.09617 | + | 0.333529i | 0.163187 | + | 0.0259652i | |||||
0 | 0 | |||||||||
−2.20370 | + | 3.81691i | −0.170527 | + | 0.295362i | −0.938604 | − | 0.344996i | ||
0.768077 | + | 0.640357i | ||||||||
0 | 0 | |||||||||
−5.43474 | − | 9.41325i | −0.418057 | − | 0.724096i | |||||
0 | 0 | |||||||||
10.4383 | + | 3.40803i | 0.798237 | + | 0.260619i | |||||
0 | 0 | |||||||||
−12.6654 | − | 21.9371i | −0.962932 | − | 1.66785i | −0.715072 | − | 0.699051i | ||
−0.247860 | − | 0.968796i | ||||||||
0 | 0 | |||||||||
−2.47141 | + | 4.28061i | −0.186821 | + | 0.323584i | |||||
0 | 0 | |||||||||
8.26840 | − | 10.1958i | 0.621491 | − | 0.766363i | |||||
0 | 0 | |||||||||
9.54583 | 0.713489 | 0.356744 | − | 0.934202i | ||||||
0.356744 | + | 0.934202i | ||||||||
0 | 0 | |||||||||
12.3743 | 0.919774 | 0.459887 | − | 0.887978i | ||||||
0.459887 | + | 0.887978i | ||||||||
0 | 0 | |||||||||
3.41260 | + | 8.90904i | 0.252266 | + | 0.658575i | |||||
0 | 0 | |||||||||
−0.550343 | + | 0.953223i | −0.0404621 | + | 0.0700823i | |||||
0 | 0 | |||||||||
9.49028 | + | 16.4377i | 0.693998 | + | 1.20204i | |||||
0 | 0 | |||||||||
−0.260877 | − | 5.18960i | −0.0189760 | − | 0.377488i | |||||
0 | 0 | |||||||||
−6.58414 | − | 11.4041i | −0.476411 | − | 0.825169i | 0.523223 | − | 0.852196i | ||
−0.999635 | + | 0.0270270i | ||||||||
0 | 0 | |||||||||
−5.57442 | + | 9.65518i | −0.401256 | + | 0.694995i | −0.993878 | − | 0.110486i | ||
0.592622 | + | 0.805481i | ||||||||
0 | 0 | |||||||||
−0.723815 | − | 1.88962i | −0.0518335 | − | 0.135318i | |||||
0 | 0 | |||||||||
−0.144194 | −0.0102734 | −0.00513669 | − | 0.999987i | ||||||
−0.00513669 | + | 0.999987i | ||||||||
0 | 0 | |||||||||
−19.4692 | −1.38014 | −0.690068 | − | 0.723744i | ||||||
−0.690068 | + | 0.723744i | ||||||||
0 | 0 | |||||||||
−0.720248 | + | 0.888141i | −0.0508024 | + | 0.0626446i | |||||
0 | 0 | |||||||||
1.73229 | − | 3.00041i | 0.121583 | − | 0.210587i | |||||
0 | 0 | |||||||||
−0.669905 | − | 1.16031i | −0.0467882 | − | 0.0810395i | |||||
0 | 0 | |||||||||
−16.5659 | + | 14.8734i | −1.15141 | + | 1.03378i | |||||
0 | 0 | |||||||||
9.37880 | + | 16.2446i | 0.648745 | + | 1.12366i | |||||
0 | 0 | |||||||||
1.61436 | − | 2.79615i | 0.111137 | − | 0.192495i | −0.805092 | − | 0.593150i | ||
0.916229 | + | 0.400655i | ||||||||
0 | 0 | |||||||||
−23.5052 | − | 3.73999i | −1.61055 | − | 0.256260i | |||||
0 | 0 | |||||||||
2.98633 | 0.203666 | |||||||||
0 | 0 | |||||||||
0.717370 | 0.0486982 | |||||||||
0 | 0 | |||||||||
6.26088 | + | 0.996189i | 0.423071 | + | 0.0673162i | |||||
0 | 0 | |||||||||
9.04746 | − | 15.6707i | 0.608598 | − | 1.05412i | |||||
0 | 0 | |||||||||
−10.3856 | − | 17.9885i | −0.695474 | − | 1.20460i | −0.970021 | − | 0.243022i | ||
0.274547 | − | 0.961574i | ||||||||
0 | 0 | |||||||||
3.06238 | + | 14.5088i | 0.204159 | + | 0.967253i | |||||
0 | 0 | |||||||||
−10.9714 | − | 19.0030i | −0.728198 | − | 1.26128i | −0.957644 | − | 0.287955i | ||
0.229446 | − | 0.973321i | ||||||||
0 | 0 | |||||||||
−11.3856 | + | 19.7205i | −0.752384 | + | 1.30317i | 0.194280 | + | 0.980946i | ||
−0.946664 | + | 0.322222i | ||||||||
0 | 0 | |||||||||
5.59097 | − | 6.89425i | 0.367859 | − | 0.453608i | |||||
0 | 0 | |||||||||
−25.7817 | −1.68901 | −0.844507 | − | 0.535544i | ||||||
−0.844507 | + | 0.535544i | ||||||||
0 | 0 | |||||||||
1.03775 | 0.0676953 | |||||||||
0 | 0 | |||||||||
−3.85705 | − | 10.0694i | −0.250542 | − | 0.654075i | |||||
0 | 0 | |||||||||
13.6488 | − | 23.6405i | 0.882870 | − | 1.52918i | 0.0347345 | − | 0.999397i | ||
0.848136 | − | 0.529779i | ||||||||
0 | 0 | |||||||||
−5.01724 | − | 8.69011i | −0.323189 | − | 0.559779i | 0.657955 | − | 0.753057i | ||
−0.981144 | + | 0.193277i | ||||||||
0 | 0 | |||||||||
−10.9834 | − | 11.0618i | −0.704589 | − | 0.709616i | |||||
0 | 0 | |||||||||
−0.119562 | − | 0.207087i | −0.00763851 | − | 0.0132303i | |||||
0 | 0 | |||||||||
8.94119 | − | 15.4866i | 0.568914 | − | 0.985388i | |||||
0 | 0 | |||||||||
6.01204 | + | 15.6952i | 0.380997 | + | 0.994645i | |||||
0 | 0 | |||||||||
−28.3171 | −1.78736 | −0.893680 | − | 0.448705i | ||||||
−0.893680 | + | 0.448705i | ||||||||
0 | 0 | |||||||||
−38.0312 | −2.39100 | |||||||||
0 | 0 | |||||||||
0.966208 | − | 1.19143i | 0.0605063 | − | 0.0746105i | |||||
0 | 0 | |||||||||
−14.4315 | + | 24.9960i | −0.900210 | + | 1.55921i | −0.0729899 | + | 0.997333i | ||
−0.827221 | + | 0.561877i | ||||||||
0 | 0 | |||||||||
2.30150 | + | 3.98632i | 0.143009 | + | 0.247698i | |||||
0 | 0 | |||||||||
−2.14652 | − | 10.1697i | −0.132866 | − | 0.629486i | |||||
0 | 0 | |||||||||
0.604645 | + | 1.04728i | 0.0372840 | + | 0.0645778i | 0.884065 | − | 0.467363i | ||
−0.846781 | + | 0.531941i | ||||||||
0 | 0 | |||||||||
0.112725 | − | 0.195246i | 0.00692465 | − | 0.0119938i | |||||
0 | 0 | |||||||||
12.8096 | + | 2.03818i | 0.783934 | + | 0.124734i | |||||
0 | 0 | |||||||||
9.01367 | 0.549573 | 0.274787 | − | 0.961505i | ||||||
0.274787 | + | 0.961505i | ||||||||
0 | 0 | |||||||||
17.6030 | 1.06931 | 0.534653 | − | 0.845071i | ||||||
0.534653 | + | 0.845071i | ||||||||
0 | 0 | |||||||||
−8.35705 | − | 1.32972i | −0.505792 | − | 0.0804782i | |||||
0 | 0 | |||||||||
−12.6654 | + | 21.9371i | −0.763752 | + | 1.32286i | |||||
0 | 0 | |||||||||
−0.727085 | − | 1.25935i | −0.0436863 | − | 0.0756669i | 0.843355 | − | 0.537356i | ||
−0.887042 | + | 0.461689i | ||||||||
0 | 0 | |||||||||
1.60138 | − | 1.43777i | 0.0958718 | − | 0.0860768i | |||||
0 | 0 | |||||||||
10.1482 | + | 17.5771i | 0.605388 | + | 1.04856i | 0.991990 | + | 0.126316i | ||
−0.386602 | + | 0.922247i | ||||||||
0 | 0 | |||||||||
2.30150 | − | 3.98632i | 0.136810 | − | 0.236962i | −0.789477 | − | 0.613780i | ||
0.926288 | + | 0.376817i | ||||||||
0 | 0 | |||||||||
0.954858 | − | 1.17744i | 0.0565609 | − | 0.0697455i | |||||
0 | 0 | |||||||||
−5.60301 | −0.330735 | |||||||||
0 | 0 | |||||||||
−3.28263 | −0.193096 | |||||||||
0 | 0 | |||||||||
−10.6248 | − | 27.7374i | −0.622835 | − | 1.62599i | |||||
0 | 0 | |||||||||
3.53667 | − | 6.12569i | 0.206614 | − | 0.357867i | −0.744031 | − | 0.668145i | ||
0.950646 | + | 0.310278i | ||||||||
0 | 0 | |||||||||
−0.906150 | − | 1.56950i | −0.0527581 | − | 0.0913797i | |||||
0 | 0 | |||||||||
−1.33693 | − | 26.5955i | −0.0775766 | − | 1.54323i | |||||
0 | 0 | |||||||||
18.1283 | + | 31.3992i | 1.04839 | + | 1.81586i | |||||
0 | 0 | |||||||||
6.24433 | − | 10.8155i | 0.359917 | − | 0.623394i | |||||
0 | 0 | |||||||||
4.44966 | + | 11.6164i | 0.255626 | + | 0.667347i | |||||
0 | 0 | |||||||||
1.31711 | 0.0754175 | |||||||||
0 | 0 | |||||||||
15.7518 | 0.899006 | 0.449503 | − | 0.893279i | ||||||
0.449503 | + | 0.893279i | ||||||||
0 | 0 | |||||||||
−13.9955 | + | 17.2579i | −0.796175 | + | 0.981767i | |||||
0 | 0 | |||||||||
9.81191 | − | 16.9947i | 0.556382 | − | 0.963682i | −0.441412 | − | 0.897304i | ||
0.997795 | − | 0.0663780i | ||||||||
0 | 0 | |||||||||
12.7427 | + | 22.0710i | 0.720259 | + | 1.24753i | 0.960896 | + | 0.276911i | ||
−0.240636 | + | 0.970615i | ||||||||
0 | 0 | |||||||||
−0.681943 | − | 0.222649i | −0.0384232 | − | 0.0125449i | |||||
0 | 0 | |||||||||
−4.14132 | − | 7.17297i | −0.232599 | − | 0.402874i | 0.725973 | − | 0.687723i | ||
−0.958572 | + | 0.284849i | ||||||||
0 | 0 | |||||||||
8.87756 | − | 15.3764i | 0.497048 | − | 0.860912i | |||||
0 | 0 | |||||||||
−12.9406 | − | 2.05903i | −0.722276 | − | 0.114924i | |||||
0 | 0 | |||||||||
13.5562 | 0.754289 | |||||||||
0 | 0 | |||||||||
24.1488 | 1.33954 | |||||||||
0 | 0 | |||||||||
11.9405 | + | 1.89989i | 0.660311 | + | 0.105064i | |||||
0 | 0 | |||||||||
2.16991 | − | 3.75839i | 0.119631 | − | 0.207207i | |||||
0 | 0 | |||||||||
5.99028 | + | 10.3755i | 0.329256 | + | 0.570288i | 0.982364 | − | 0.186976i | ||
−0.653109 | + | 0.757264i | ||||||||
0 | 0 | |||||||||
13.1271 | + | 4.28590i | 0.719360 | + | 0.234866i | |||||
0 | 0 | |||||||||
0.0789334 | + | 0.136717i | 0.00431259 | + | 0.00746963i | |||||
0 | 0 | |||||||||
6.46006 | − | 11.1892i | 0.351902 | − | 0.609512i | −0.634681 | − | 0.772774i | ||
0.986583 | + | 0.163262i | ||||||||
0 | 0 | |||||||||
−21.3502 | + | 26.3270i | −1.15958 | + | 1.42989i | |||||
0 | 0 | |||||||||
3.67635 | 0.199086 | |||||||||
0 | 0 | |||||||||
−1.00000 | −0.0539949 | |||||||||
0 | 0 | |||||||||
1.09944 | + | 2.87024i | 0.0591920 | + | 0.154529i | |||||
0 | 0 | |||||||||
−8.09329 | + | 14.0180i | −0.434471 | + | 0.752526i | −0.997252 | − | 0.0740802i | ||
0.562781 | + | 0.826606i | ||||||||
0 | 0 | |||||||||
9.05718 | + | 15.6875i | 0.484820 | + | 0.839732i | 0.999848 | − | 0.0174409i | ||
−0.515028 | + | 0.857173i | ||||||||
0 | 0 | |||||||||
−21.3204 | + | 13.7811i | −1.13800 | + | 0.735578i | |||||
0 | 0 | |||||||||
5.84897 | + | 10.1307i | 0.311309 | + | 0.539203i | 0.978646 | − | 0.205553i | ||
−0.667337 | + | 0.744756i | ||||||||
0 | 0 | |||||||||
−1.64295 | + | 2.84567i | −0.0871987 | + | 0.151033i | |||||
0 | 0 | |||||||||
−2.29467 | − | 5.99054i | −0.121447 | − | 0.317053i | |||||
0 | 0 | |||||||||
35.7245 | 1.88547 | 0.942734 | − | 0.333547i | ||||||
0.942734 | + | 0.333547i | ||||||||
0 | 0 | |||||||||
−5.60301 | −0.294895 | |||||||||
0 | 0 | |||||||||
16.6517 | − | 20.5333i | 0.873989 | − | 1.07772i | |||||
0 | 0 | |||||||||
0.437618 | − | 0.757977i | 0.0229060 | − | 0.0396743i | |||||
0 | 0 | |||||||||
−8.52696 | − | 14.7691i | −0.445103 | − | 0.770942i | 0.552956 | − | 0.833210i | ||
−0.998059 | + | 0.0622687i | ||||||||
0 | 0 | |||||||||
−12.5075 | + | 11.2297i | −0.651116 | + | 0.584593i | |||||
0 | 0 | |||||||||
−0.471410 | − | 0.816506i | −0.0244744 | − | 0.0423909i | |||||
0 | 0 | |||||||||
12.9617 | − | 22.4503i | 0.671131 | − | 1.16243i | −0.306453 | − | 0.951886i | ||
0.977584 | − | 0.210547i | ||||||||
0 | 0 | |||||||||
4.06690 | + | 0.647097i | 0.210014 | + | 0.0334160i | |||||
0 | 0 | |||||||||
−16.9267 | −0.871767 | |||||||||
0 | 0 | |||||||||
26.8446 | 1.37892 | 0.689458 | − | 0.724326i | ||||||
0.689458 | + | 0.724326i | ||||||||
0 | 0 | |||||||||
28.7524 | + | 4.57489i | 1.47303 | + | 0.234379i | |||||
0 | 0 | |||||||||
−12.4263 | + | 21.5229i | −0.634953 | + | 1.09977i | 0.351573 | + | 0.936161i | ||
−0.986525 | + | 0.163610i | ||||||||
0 | 0 | |||||||||
−0.612725 | − | 1.06127i | −0.0312274 | − | 0.0540874i | |||||
0 | 0 | |||||||||
−7.73749 | − | 36.6583i | −0.393319 | − | 1.86344i | |||||
0 | 0 | |||||||||
9.12640 | + | 15.8074i | 0.462727 | + | 0.801466i | 0.999096 | − | 0.0425174i | ||
−0.536369 | + | 0.843984i | ||||||||
0 | 0 | |||||||||
−13.7427 | + | 23.8030i | −0.694998 | + | 1.20377i | |||||
0 | 0 | |||||||||
5.34501 | − | 6.59095i | 0.269620 | − | 0.332470i | |||||
0 | 0 | |||||||||
−1.48865 | −0.0749021 | |||||||||
0 | 0 | |||||||||
12.3743 | 0.621048 | 0.310524 | − | 0.950566i | ||||||
0.310524 | + | 0.950566i | ||||||||
0 | 0 | |||||||||
−2.26771 | − | 5.92017i | −0.113528 | − | 0.296379i | |||||
0 | 0 | |||||||||
5.48113 | − | 9.49359i | 0.273714 | − | 0.474087i | −0.696096 | − | 0.717949i | ||
0.969810 | + | 0.243862i | ||||||||
0 | 0 | |||||||||
−1.75241 | − | 3.03526i | −0.0872935 | − | 0.151197i | |||||
0 | 0 | |||||||||
−1.96853 | + | 0.869747i | −0.0978171 | + | 0.0432181i | |||||
0 | 0 | |||||||||
11.7947 | + | 20.4290i | 0.584640 | + | 1.01263i | |||||
0 | 0 | |||||||||
6.66019 | − | 11.5358i | 0.329325 | − | 0.570408i | −0.653053 | − | 0.757312i | ||
0.982378 | + | 0.186904i | ||||||||
0 | 0 | |||||||||
3.37360 | + | 8.80724i | 0.166408 | + | 0.434429i | |||||
0 | 0 | |||||||||
−7.57893 | −0.372935 | |||||||||
0 | 0 | |||||||||
2.32038 | 0.113903 | |||||||||
0 | 0 | |||||||||
6.17511 | − | 7.61455i | 0.302396 | − | 0.372886i | |||||
0 | 0 | |||||||||
−2.35705 | + | 4.08253i | −0.115149 | + | 0.199445i | −0.917839 | − | 0.396952i | ||
0.802690 | + | 0.596396i | ||||||||
0 | 0 | |||||||||
−9.65856 | − | 16.7291i | −0.470729 | − | 0.815327i | 0.528710 | − | 0.848802i | ||
−0.999440 | + | 0.0334755i | ||||||||
0 | 0 | |||||||||
−2.68878 | − | 12.7388i | −0.130733 | − | 0.619380i | |||||
0 | 0 | |||||||||
9.15335 | + | 15.8541i | 0.444003 | + | 0.769036i | |||||
0 | 0 | |||||||||
2.75404 | − | 4.77014i | 0.133277 | − | 0.230843i | |||||
0 | 0 | |||||||||
−42.8279 | − | 6.81449i | −2.06775 | − | 0.329007i | |||||
0 | 0 | |||||||||
−30.2794 | −1.45851 | −0.729253 | − | 0.684244i | ||||||
−0.729253 | + | 0.684244i | ||||||||
0 | 0 | |||||||||
34.2060 | 1.64384 | 0.821918 | − | 0.569606i | ||||||
0.821918 | + | 0.569606i | ||||||||
0 | 0 | |||||||||
−1.41711 | − | 0.225481i | −0.0679452 | − | 0.0108110i | |||||
0 | 0 | |||||||||
−13.5813 | + | 23.5234i | −0.649680 | + | 1.12528i | |||||
0 | 0 | |||||||||
0.311220 | + | 0.539049i | 0.0148537 | + | 0.0257274i | 0.873357 | − | 0.487081i | ||
−0.858503 | + | 0.512809i | ||||||||
0 | 0 | |||||||||
−2.23229 | + | 2.00422i | −0.106299 | + | 0.0954390i | |||||
0 | 0 | |||||||||
2.58934 | + | 4.48486i | 0.123023 | + | 0.213082i | 0.920958 | − | 0.389661i | ||
−0.797935 | + | 0.602743i | ||||||||
0 | 0 | |||||||||
0.895355 | − | 1.55080i | 0.0424439 | − | 0.0735150i | |||||
0 | 0 | |||||||||
2.49028 | − | 3.07078i | 0.117786 | − | 0.145243i | |||||
0 | 0 | |||||||||
−10.4977 | −0.495416 | −0.247708 | − | 0.968835i | ||||||
−0.247708 | + | 0.968835i | ||||||||
0 | 0 | |||||||||
−28.7141 | −1.35209 | |||||||||
0 | 0 | |||||||||
6.97825 | + | 18.2177i | 0.327867 | + | 0.855940i | |||||
0 | 0 | |||||||||
−0.584135 | + | 1.01175i | −0.0273847 | + | 0.0474317i | |||||
0 | 0 | |||||||||
1.60464 | + | 2.77933i | 0.0750621 | + | 0.130011i | 0.901113 | − | 0.433584i | ||
−0.826051 | + | 0.563595i | ||||||||
0 | 0 | |||||||||
−17.1287 | − | 8.77359i | −0.799500 | − | 0.409516i | |||||
0 | 0 | |||||||||
18.1150 | + | 31.3762i | 0.843702 | + | 1.46133i | 0.886744 | + | 0.462261i | ||
−0.0430418 | + | 0.999073i | ||||||||
0 | 0 | |||||||||
−14.5253 | + | 25.1586i | −0.675049 | + | 1.16922i | 0.301406 | + | 0.953496i | ||
−0.976455 | + | 0.215723i | ||||||||
0 | 0 | |||||||||
−0.106279 | − | 0.277457i | −0.00492859 | − | 0.0128668i | |||||
0 | 0 | |||||||||
−37.4933 | −1.73498 | −0.867491 | − | 0.497452i | ||||||
−0.867491 | + | 0.497452i | ||||||||
0 | 0 | |||||||||
0.660190 | 0.0304847 | |||||||||
0 | 0 | |||||||||
6.05034 | − | 7.46070i | 0.278785 | − | 0.343771i | |||||
0 | 0 | |||||||||
32.0007 | − | 55.4268i | 1.47139 | − | 2.54853i | |||||
0 | 0 | |||||||||
9.04583 | + | 15.6678i | 0.415051 | + | 0.718890i | |||||
0 | 0 | |||||||||
−2.68878 | − | 0.877867i | −0.123111 | − | 0.0401948i | |||||
0 | 0 | |||||||||
−14.9549 | − | 25.9026i | −0.683305 | − | 1.18352i | −0.973966 | − | 0.226693i | ||
0.290661 | − | 0.956826i | ||||||||
0 | 0 | |||||||||
11.2443 | − | 19.4757i | 0.512697 | − | 0.888017i | |||||
0 | 0 | |||||||||
12.6940 | + | 2.01978i | 0.577596 | + | 0.0919033i | |||||
0 | 0 | |||||||||
−4.10069 | −0.186203 | |||||||||
0 | 0 | |||||||||
21.2632 | 0.963528 | 0.481764 | − | 0.876301i | ||||||
0.481764 | + | 0.876301i | ||||||||
0 | 0 | |||||||||
−11.3925 | − | 1.81270i | −0.515186 | − | 0.0819729i | |||||
0 | 0 | |||||||||
10.6985 | − | 18.5303i | 0.482816 | − | 0.836262i | −0.516989 | − | 0.855992i | ||
0.999805 | + | 0.0197296i | ||||||||
0 | 0 | |||||||||
−6.41586 | − | 11.1126i | −0.288956 | − | 0.500487i | |||||
0 | 0 | |||||||||
−3.49480 | − | 1.14103i | −0.157079 | − | 0.0512853i | |||||
0 | 0 | |||||||||
6.87072 | + | 11.9004i | 0.308194 | + | 0.533808i | |||||
0 | 0 | |||||||||
−7.28263 | + | 12.6139i | −0.326015 | + | 0.564675i | −0.981717 | − | 0.190345i | ||
0.655702 | + | 0.755020i | ||||||||
0 | 0 | |||||||||
4.80834 | − | 5.92918i | 0.214821 | − | 0.264896i | |||||
0 | 0 | |||||||||
2.92339 | 0.130348 | 0.0651738 | − | 0.997874i | ||||||
0.0651738 | + | 0.997874i | ||||||||
0 | 0 | |||||||||
1.71737 | 0.0764220 | |||||||||
0 | 0 | |||||||||
6.73431 | + | 17.5808i | 0.299081 | + | 0.780792i | |||||
0 | 0 | |||||||||
9.62025 | − | 16.6628i | 0.426410 | − | 0.738564i | −0.570141 | − | 0.821547i | ||
0.996551 | + | 0.0829830i | ||||||||
0 | 0 | |||||||||
−1.83009 | − | 3.16982i | −0.0809586 | − | 0.140224i | |||||
0 | 0 | |||||||||
−16.9275 | − | 8.67053i | −0.747368 | − | 0.382813i | |||||
0 | 0 | |||||||||
1.53379 | + | 2.65661i | 0.0675869 | + | 0.117064i | |||||
0 | 0 | |||||||||
11.1202 | − | 19.2608i | 0.489068 | − | 0.847091i | |||||
0 | 0 | |||||||||
15.6940 | + | 40.9713i | 0.688889 | + | 1.79844i | |||||
0 | 0 | |||||||||
27.7486 | 1.21569 | 0.607844 | − | 0.794057i | ||||||
0.607844 | + | 0.794057i | ||||||||
0 | 0 | |||||||||
−2.73680 | −0.119672 | −0.0598360 | − | 0.998208i | ||||||
−0.0598360 | + | 0.998208i | ||||||||
0 | 0 | |||||||||
5.39248 | − | 6.64948i | 0.235347 | − | 0.290207i | |||||
0 | 0 | |||||||||
1.32846 | − | 2.30096i | 0.0578686 | − | 0.100231i | |||||
0 | 0 | |||||||||
−16.0361 | − | 27.7754i | −0.697222 | − | 1.20762i | |||||
0 | 0 | |||||||||
−16.9184 | + | 15.1898i | −0.734194 | + | 0.659183i | |||||
0 | 0 | |||||||||
13.6871 | + | 23.7068i | 0.592856 | + | 1.02686i | |||||
0 | 0 | |||||||||
−0.904515 | + | 1.56667i | −0.0391056 | + | 0.0677329i | |||||
0 | 0 | |||||||||
−16.3285 | − | 2.59808i | −0.704625 | − | 0.112115i | |||||
0 | 0 | |||||||||
−5.12476 | −0.220739 | |||||||||
0 | 0 | |||||||||
−11.9773 | −0.514944 | −0.257472 | − | 0.966286i | ||||||
−0.257472 | + | 0.966286i | ||||||||
0 | 0 | |||||||||
−21.1666 | − | 3.36789i | −0.908347 | − | 0.144530i | |||||
0 | 0 | |||||||||
0.834608 | − | 1.44558i | 0.0357507 | − | 0.0619220i | |||||
0 | 0 | |||||||||
10.7346 | + | 18.5929i | 0.458979 | + | 0.794975i | 0.998907 | − | 0.0467363i | ||
−0.539928 | + | 0.841711i | ||||||||
0 | 0 | |||||||||
−3.41260 | − | 16.1680i | −0.145646 | − | 0.690034i | |||||
0 | 0 | |||||||||
−6.34050 | − | 10.9821i | −0.270114 | − | 0.467852i | |||||
0 | 0 | |||||||||
−3.11273 | + | 5.39140i | −0.132367 | + | 0.229266i | |||||
0 | 0 | |||||||||
1.20082 | − | 1.48073i | 0.0509719 | − | 0.0628536i | |||||
0 | 0 | |||||||||
−31.8493 | −1.34950 | −0.674748 | − | 0.738048i | ||||||
−0.674748 | + | 0.738048i | ||||||||
0 | 0 | |||||||||
−61.0150 | −2.58066 | |||||||||
0 | 0 | |||||||||
−11.7596 | − | 30.7001i | −0.496492 | − | 1.29616i | |||||
0 | 0 | |||||||||
−17.7742 | + | 30.7857i | −0.749091 | + | 1.29746i | 0.199167 | + | 0.979966i | ||
−0.948259 | + | 0.317499i | ||||||||
0 | 0 | |||||||||
2.33981 | + | 4.05267i | 0.0984366 | + | 0.170497i | |||||
0 | 0 | |||||||||
−0.966208 | + | 8.94799i | −0.0405769 | + | 0.375780i | |||||
0 | 0 | |||||||||
−10.8743 | − | 18.8348i | −0.455874 | − | 0.789597i | 0.542864 | − | 0.839821i | ||
−0.998738 | + | 0.0502237i | ||||||||
0 | 0 | |||||||||
4.79987 | − | 8.31362i | 0.200868 | − | 0.347914i | −0.747940 | − | 0.663766i | ||
0.948808 | + | 0.315852i | ||||||||
0 | 0 | |||||||||
8.15856 | + | 21.2990i | 0.340829 | + | 0.889779i | |||||
0 | 0 | |||||||||
−36.6810 | −1.52970 | |||||||||
0 | 0 | |||||||||
13.0183 | 0.541960 | 0.270980 | − | 0.962585i | ||||||
0.270980 | + | 0.962585i | ||||||||
0 | 0 | |||||||||
12.1631 | − | 14.9983i | 0.505480 | − | 0.623309i | |||||
0 | 0 | |||||||||
4.85185 | − | 8.40365i | 0.201289 | − | 0.348642i | |||||
0 | 0 | |||||||||
−2.41586 | − | 4.18440i | −0.100055 | − | 0.173300i | |||||
0 | 0 | |||||||||
0.723815 | + | 3.42926i | 0.0299261 | + | 0.141782i | |||||
0 | 0 | |||||||||
−8.64364 | − | 14.9712i | −0.356761 | − | 0.617928i | 0.630657 | − | 0.776062i | ||
−0.987418 | + | 0.158134i | ||||||||
0 | 0 | |||||||||
1.31285 | − | 2.27393i | 0.0540952 | − | 0.0936957i | |||||
0 | 0 | |||||||||
0.246648 | + | 0.0392450i | 0.0101457 | + | 0.00161432i | |||||
0 | 0 | |||||||||
12.4153 | 0.509836 | 0.254918 | − | 0.966963i | ||||||
0.254918 | + | 0.966963i | ||||||||
0 | 0 | |||||||||
−0.885640 | −0.0363077 | |||||||||
0 | 0 | |||||||||
33.3027 | + | 5.29891i | 1.36299 | + | 0.216870i | |||||
0 | 0 | |||||||||
3.94282 | − | 6.82916i | 0.161099 | − | 0.279032i | −0.774164 | − | 0.632985i | ||
0.935263 | + | 0.353953i | ||||||||
0 | 0 | |||||||||
−11.1413 | − | 19.2973i | −0.454464 | − | 0.787154i | 0.544193 | − | 0.838960i | ||
−0.998657 | + | 0.0518055i | ||||||||
0 | 0 | |||||||||
1.47373 | − | 1.32317i | 0.0600151 | − | 0.0538835i | |||||
0 | 0 | |||||||||
−1.82489 | − | 3.16081i | −0.0741925 | − | 0.128505i | |||||
0 | 0 | |||||||||
−11.0458 | + | 19.1319i | −0.448336 | + | 0.776541i | −0.998278 | − | 0.0586617i | ||
0.549942 | + | 0.835203i | ||||||||
0 | 0 | |||||||||
−3.77975 | + | 4.66082i | −0.153163 | + | 0.188866i | |||||
0 | 0 | |||||||||
−21.2028 | −0.857771 | |||||||||
0 | 0 | |||||||||
−29.5264 | −1.19256 | −0.596280 | − | 0.802777i | ||||||
−0.596280 | + | 0.802777i | ||||||||
0 | 0 | |||||||||
0.830095 | + | 2.16708i | 0.0334727 | + | 0.0873849i | |||||
0 | 0 | |||||||||
5.01655 | − | 8.68892i | 0.201959 | − | 0.349803i | −0.747201 | − | 0.664598i | ||
0.949159 | + | 0.314796i | ||||||||
0 | 0 | |||||||||
19.1283 | + | 33.1312i | 0.768833 | + | 1.33166i | 0.938196 | + | 0.346103i | ||
−0.169364 | + | 0.985554i | ||||||||
0 | 0 | |||||||||
32.3847 | − | 20.9328i | 1.29955 | − | 0.840004i | |||||
0 | 0 | |||||||||
−3.74433 | − | 6.48536i | −0.150013 | − | 0.259831i | |||||
0 | 0 | |||||||||
−12.0728 | + | 20.9107i | −0.482911 | + | 0.836427i | |||||
0 | 0 | |||||||||
−11.6215 | − | 30.3395i | −0.464118 | − | 1.21164i | |||||
0 | 0 | |||||||||
17.0482 | 0.679754 | |||||||||
0 | 0 | |||||||||
−23.0377 | −0.917118 | −0.458559 | − | 0.888664i | ||||||
−0.458559 | + | 0.888664i | ||||||||
0 | 0 | |||||||||
−3.52244 | + | 4.34354i | −0.140004 | + | 0.172640i | |||||
0 | 0 | |||||||||
2.00972 | − | 3.48093i | 0.0797531 | − | 0.138136i | |||||
0 | 0 | |||||||||
2.44282 | + | 4.23109i | 0.0967881 | + | 0.167642i | |||||
0 | 0 | |||||||||
39.1885 | + | 12.7948i | 1.55027 | + | 0.506153i | |||||
0 | 0 | |||||||||
8.68646 | + | 15.0454i | 0.343094 | + | 0.594257i | 0.985006 | − | 0.172522i | ||
−0.641911 | + | 0.766779i | ||||||||
0 | 0 | |||||||||
9.47949 | − | 16.4190i | 0.373835 | − | 0.647501i | −0.616317 | − | 0.787498i | ||
0.990152 | + | 0.139997i | ||||||||
0 | 0 | |||||||||
−5.10821 | − | 0.812785i | −0.201136 | − | 0.0320034i | |||||
0 | 0 | |||||||||
19.0194 | 0.747731 | 0.373865 | − | 0.927483i | ||||||
0.373865 | + | 0.927483i | ||||||||
0 | 0 | |||||||||
−38.8402 | −1.52461 | |||||||||
0 | 0 | |||||||||
−1.22708 | − | 0.195246i | −0.0480933 | − | 0.00765228i | |||||
0 | 0 | |||||||||
3.59329 | − | 6.22377i | 0.140616 | − | 0.243555i | −0.787112 | − | 0.616810i | ||
0.927729 | + | 0.373255i | ||||||||
0 | 0 | |||||||||
−0.585770 | − | 1.01458i | −0.0228879 | − | 0.0396430i | |||||
0 | 0 | |||||||||
−10.4383 | − | 3.40803i | −0.407237 | − | 0.132960i | |||||
0 | 0 | |||||||||
−12.7261 | − | 22.0423i | −0.495740 | − | 0.858647i | 0.504248 | − | 0.863559i | ||
−0.999988 | + | 0.00491209i | ||||||||
0 | 0 | |||||||||
−4.14295 | + | 7.17580i | −0.161142 | + | 0.279106i | −0.935279 | − | 0.353912i | ||
0.774136 | + | 0.633019i | ||||||||
0 | 0 | |||||||||
−19.7411 | + | 24.3428i | −0.766679 | + | 0.945395i | |||||
0 | 0 | |||||||||
−0.875237 | −0.0339402 | |||||||||
0 | 0 | |||||||||
25.7108 | 0.995527 | |||||||||
0 | 0 | |||||||||
12.8691 | + | 33.5965i | 0.497548 | + | 1.29892i | |||||
0 | 0 | |||||||||
14.1138 | − | 24.4458i | 0.544857 | − | 0.943721i | |||||
0 | 0 | |||||||||
5.91586 | + | 10.2466i | 0.228040 | + | 0.394977i | 0.957227 | − | 0.289338i | ||
−0.729187 | + | 0.684314i | ||||||||
0 | 0 | |||||||||
−1.28947 | − | 25.6513i | −0.0496316 | − | 0.987317i | |||||
0 | 0 | |||||||||
−6.80314 | − | 11.7834i | −0.261466 | − | 0.452872i | 0.705166 | − | 0.709042i | ||
−0.966632 | + | 0.256170i | ||||||||
0 | 0 | |||||||||
−8.57442 | + | 14.8513i | −0.329056 | + | 0.569942i | |||||
0 | 0 | |||||||||
13.5949 | + | 35.4914i | 0.520959 | + | 1.36003i | |||||
0 | 0 | |||||||||
3.58142 | 0.137039 | 0.0685196 | − | 0.997650i | ||||||
0.0685196 | + | 0.997650i | ||||||||
0 | 0 | |||||||||
1.30206 | 0.0497492 | |||||||||
0 | 0 | |||||||||
24.8428 | − | 30.6338i | 0.947813 | − | 1.16875i | |||||
0 | 0 | |||||||||
−2.30314 | + | 3.98916i | −0.0877426 | + | 0.151975i | |||||
0 | 0 | |||||||||
−5.85868 | − | 10.1475i | −0.222875 | − | 0.386031i | 0.732805 | − | 0.680439i | ||
−0.955680 | + | 0.294408i | ||||||||
0 | 0 | |||||||||
−11.4399 | + | 10.2712i | −0.434567 | + | 0.390169i | |||||
0 | 0 | |||||||||
−0.676742 | − | 1.17215i | −0.0256703 | − | 0.0444622i | |||||
0 | 0 | |||||||||
−10.3759 | + | 17.9716i | −0.393016 | + | 0.680724i | |||||
0 | 0 | |||||||||
44.1004 | + | 7.01697i | 1.66803 | + | 0.265406i | |||||
0 | 0 | |||||||||
−10.5926 | −0.400077 | −0.200039 | − | 0.979788i | ||||||
−0.200039 | + | 0.979788i | ||||||||
0 | 0 | |||||||||
16.8479 | 0.635430 | |||||||||
0 | 0 | |||||||||
−1.77511 | − | 0.282443i | −0.0668543 | − | 0.0106374i | |||||
0 | 0 | |||||||||
3.59097 | − | 6.21975i | 0.135052 | − | 0.233918i | |||||
0 | 0 | |||||||||
−19.1488 | − | 33.1668i | −0.719150 | − | 1.24560i | −0.961337 | − | 0.275374i | ||
0.242187 | − | 0.970230i | ||||||||
0 | 0 | |||||||||
3.85705 | + | 18.2737i | 0.144651 | + | 0.685318i | |||||
0 | 0 | |||||||||
2.66182 | + | 4.61042i | 0.0996861 | + | 0.172661i | |||||
0 | 0 | |||||||||
−2.99355 | + | 5.18499i | −0.111953 | + | 0.193908i | |||||
0 | 0 | |||||||||
−29.7810 | + | 36.7230i | −1.11219 | + | 1.37145i | |||||
0 | 0 | |||||||||
41.6752 | 1.55422 | 0.777112 | − | 0.629362i | ||||||
0.777112 | + | 0.629362i | ||||||||
0 | 0 | |||||||||
12.8285 | 0.477757 | |||||||||
0 | 0 | |||||||||
6.21698 | + | 16.2303i | 0.231212 | + | 0.603610i | |||||
0 | 0 | |||||||||
8.56238 | − | 14.8305i | 0.317999 | − | 0.550790i | |||||
0 | 0 | |||||||||
16.4126 | + | 28.4274i | 0.608709 | + | 1.05432i | 0.991453 | + | 0.130461i | ||
−0.382744 | + | 0.923854i | ||||||||
0 | 0 | |||||||||
15.7769 | + | 21.9110i | 0.584329 | + | 0.811517i | |||||
0 | 0 | |||||||||
−23.1271 | − | 40.0573i | −0.855386 | − | 1.48157i | |||||
0 | 0 | |||||||||
−4.64884 | + | 8.05203i | −0.171709 | + | 0.297408i | −0.939017 | − | 0.343870i | ||
0.767309 | + | 0.641278i | ||||||||
0 | 0 | |||||||||
0.148152 | + | 0.386770i | 0.00546465 | + | 0.0142662i | |||||
0 | 0 | |||||||||
3.38332 | 0.124626 | |||||||||
0 | 0 | |||||||||
11.3776 | 0.418530 | 0.209265 | − | 0.977859i | ||||||
0.209265 | + | 0.977859i | ||||||||
0 | 0 | |||||||||
−19.5092 | + | 24.0568i | −0.716687 | + | 0.883749i | |||||
0 | 0 | |||||||||
1.16182 | − | 2.01234i | 0.0426232 | − | 0.0738256i | −0.843927 | − | 0.536458i | ||
0.886550 | + | 0.462633i | ||||||||
0 | 0 | |||||||||
−0.272915 | − | 0.472703i | −0.00999883 | − | 0.0173185i | |||||
0 | 0 | |||||||||
−6.01204 | − | 28.4835i | −0.219969 | − | 1.04216i | |||||
0 | 0 | |||||||||
3.78263 | + | 6.55171i | 0.138214 | + | 0.239394i | |||||
0 | 0 | |||||||||
5.56690 | − | 9.64215i | 0.203139 | − | 0.351847i | −0.746399 | − | 0.665498i | ||
0.949538 | + | 0.313652i | ||||||||
0 | 0 | |||||||||
48.4374 | + | 7.70703i | 1.76516 | + | 0.280860i | |||||
0 | 0 | |||||||||
2.69329 | 0.0980190 | |||||||||
0 | 0 | |||||||||
52.1639 | 1.89593 | 0.947964 | − | 0.318376i | ||||||
0.947964 | + | 0.318376i | ||||||||
0 | 0 | |||||||||
65.0537 | + | 10.3509i | 2.36130 | + | 0.375714i | |||||
0 | 0 | |||||||||
23.5127 | − | 40.7252i | 0.852336 | − | 1.47629i | −0.0267592 | − | 0.999642i | ||
0.879095 | − | 0.476647i | ||||||||
0 | 0 | |||||||||
−3.49028 | − | 6.04535i | −0.126357 | − | 0.218856i | |||||
0 | 0 | |||||||||
−1.97700 | + | 1.77502i | −0.0714787 | + | 0.0641759i | |||||
0 | 0 | |||||||||
18.5140 | + | 32.0671i | 0.668501 | + | 1.15788i | |||||
0 | 0 | |||||||||
3.30314 | − | 5.72121i | 0.119114 | − | 0.206312i | −0.800303 | − | 0.599596i | ||
0.919417 | + | 0.393284i | ||||||||
0 | 0 | |||||||||
31.4887 | − | 38.8288i | 1.13404 | − | 1.39838i | |||||
0 | 0 | |||||||||
19.0870 | 0.686512 | 0.343256 | − | 0.939242i | ||||||
0.343256 | + | 0.939242i | ||||||||
0 | 0 | |||||||||
3.54583 | 0.127370 | |||||||||
0 | 0 | |||||||||
−2.85185 | − | 7.44514i | −0.102309 | − | 0.267093i | |||||
0 | 0 | |||||||||
−10.2540 | + | 17.7605i | −0.367389 | + | 0.636337i | |||||
0 | 0 | |||||||||
35.2108 | + | 60.9869i | 1.25994 | + | 2.18228i | |||||
0 | 0 | |||||||||
0.903827 | + | 17.9797i | 0.0323001 | + | 0.642544i | |||||
0 | 0 | |||||||||
−0.663069 | − | 1.14847i | −0.0236659 | − | 0.0409906i | |||||
0 | 0 | |||||||||
−25.4503 | + | 44.0813i | −0.907207 | + | 1.57133i | −0.0892796 | + | 0.996007i | ||
−0.817927 | + | 0.575322i | ||||||||
0 | 0 | |||||||||
−0.749229 | − | 1.95596i | −0.0266733 | − | 0.0696342i | |||||
0 | 0 | |||||||||
19.5699 | 0.695826 | |||||||||
0 | 0 | |||||||||
−26.9105 | −0.955620 | |||||||||
0 | 0 | |||||||||
−0.245960 | + | 0.303294i | −0.00872330 | + | 0.0107567i | |||||
0 | 0 | |||||||||
−4.38727 | + | 7.59898i | −0.155405 | + | 0.269170i | −0.933207 | − | 0.359341i | ||
0.777801 | + | 0.628510i | ||||||||
0 | 0 | |||||||||
−8.03667 | − | 13.9199i | −0.284317 | − | 0.492451i | |||||
0 | 0 | |||||||||
−21.3565 | − | 6.97274i | −0.754595 | − | 0.246370i | |||||
0 | 0 | |||||||||
−9.37880 | − | 16.2446i | −0.330971 | − | 0.573258i | |||||
0 | 0 | |||||||||
0.887275 | − | 1.53681i | 0.0312723 | − | 0.0541653i | |||||
0 | 0 | |||||||||
−15.4182 | − | 2.45324i | −0.542746 | − | 0.0863581i | |||||
0 | 0 | |||||||||
−9.51384 | −0.334489 | −0.167244 | − | 0.985915i | ||||||
−0.167244 | + | 0.985915i | ||||||||
0 | 0 | |||||||||
−25.0118 | −0.878282 | −0.439141 | − | 0.898418i | ||||||
−0.439141 | + | 0.898418i | ||||||||
0 | 0 | |||||||||
−30.1105 | − | 4.79099i | −1.05602 | − | 0.168027i | |||||
0 | 0 | |||||||||
−0.796303 | + | 1.37924i | −0.0278933 | + | 0.0483126i | |||||
0 | 0 | |||||||||
−22.8554 | − | 39.5867i | −0.799610 | − | 1.38496i | |||||
0 | 0 | |||||||||
13.9331 | + | 4.54906i | 0.486862 | + | 0.158957i | |||||
0 | 0 | |||||||||
17.7970 | + | 30.8253i | 0.621119 | + | 1.07581i | 0.989278 | + | 0.146047i | ||
−0.368158 | + | 0.929763i | ||||||||
0 | 0 | |||||||||
−8.00000 | + | 13.8564i | −0.278862 | + | 0.483004i | −0.971102 | − | 0.238664i | ||
0.692240 | + | 0.721668i | ||||||||
0 | 0 | |||||||||
27.6352 | − | 34.0770i | 0.962133 | − | 1.18641i | |||||
0 | 0 | |||||||||
−25.4531 | −0.885090 | −0.442545 | − | 0.896746i | ||||||
−0.442545 | + | 0.896746i | ||||||||
0 | 0 | |||||||||
−17.5458 | −0.609392 | −0.304696 | − | 0.952450i | ||||||
−0.304696 | + | 0.952450i | ||||||||
0 | 0 | |||||||||
0.900948 | + | 2.35205i | 0.0312535 | + | 0.0815916i | |||||
0 | 0 | |||||||||
−1.85185 | + | 3.20750i | −0.0641627 | + | 0.111133i | |||||
0 | 0 | |||||||||
−0.526955 | − | 0.912713i | −0.0182360 | − | 0.0315857i | |||||
0 | 0 | |||||||||
−3.13052 | + | 2.02350i | −0.108207 | + | 0.0699425i | |||||
0 | 0 | |||||||||
−12.0562 | − | 20.8820i | −0.416227 | − | 0.720927i | 0.579329 | − | 0.815094i | ||
−0.995556 | + | 0.0941668i | ||||||||
0 | 0 | |||||||||
8.49837 | − | 14.7196i | 0.293047 | − | 0.507572i | |||||
0 | 0 | |||||||||
−12.5748 | − | 32.8282i | −0.433099 | − | 1.13066i | |||||
0 | 0 | |||||||||
2.59915 | 0.0894133 | |||||||||
0 | 0 | |||||||||
−15.2632 | −0.524450 | |||||||||
0 | 0 | |||||||||
−5.02175 | + | 6.19234i | −0.172346 | + | 0.212521i | |||||
0 | 0 | |||||||||
−17.0796 | + | 29.5828i | −0.585482 | + | 1.01408i | |||||
0 | 0 | |||||||||
−16.2616 | − | 28.1659i | −0.556785 | − | 0.964381i | −0.997762 | − | 0.0668621i | ||
0.440977 | − | 0.897518i | ||||||||
0 | 0 | |||||||||
−1.95378 | + | 1.75417i | −0.0668178 | + | 0.0599912i | |||||
0 | 0 | |||||||||
0.299870 | + | 0.519390i | 0.0102434 | + | 0.0177420i | 0.871102 | − | 0.491103i | ||
−0.860858 | + | 0.508845i | ||||||||
0 | 0 | |||||||||
13.2174 | − | 22.8932i | 0.450971 | − | 0.781104i | −0.547476 | − | 0.836822i | ||
0.998447 | + | 0.0557171i | ||||||||
0 | 0 | |||||||||
9.58414 | + | 1.52496i | 0.326626 | + | 0.0519706i | |||||
0 | 0 | |||||||||
19.8454 | 0.675545 | 0.337773 | − | 0.941228i | ||||||
0.337773 | + | 0.941228i | ||||||||
0 | 0 | |||||||||
6.05718 | 0.205950 | |||||||||
0 | 0 | |||||||||
5.61505 | + | 0.893429i | 0.190697 | + | 0.0303424i | |||||
0 | 0 | |||||||||
−15.9520 | + | 27.6296i | −0.541134 | + | 0.937271i | |||||
0 | 0 | |||||||||
−1.61273 | − | 2.79332i | −0.0546451 | − | 0.0946481i | |||||
0 | 0 | |||||||||
10.6248 | + | 50.3374i | 0.359594 | + | 1.70366i | |||||
0 | 0 | |||||||||
−1.18878 | − | 2.05903i | −0.0401881 | − | 0.0696078i | |||||
0 | 0 | |||||||||
−10.2352 | + | 17.7278i | −0.345617 | + | 0.598626i | −0.985466 | − | 0.169875i | ||
0.639849 | + | 0.768501i | ||||||||
0 | 0 | |||||||||
−7.71681 | + | 9.51563i | −0.260282 | + | 0.320954i | |||||
0 | 0 | |||||||||
−31.1683 | −1.05009 | −0.525043 | − | 0.851076i | ||||||
−0.525043 | + | 0.851076i | ||||||||
0 | 0 | |||||||||
−2.64187 | −0.0889060 | −0.0444530 | − | 0.999011i | ||||||
−0.0444530 | + | 0.999011i | ||||||||
0 | 0 | |||||||||
1.12283 | + | 2.93130i | 0.0377436 | + | 0.0985347i | |||||
0 | 0 | |||||||||
11.5825 | − | 20.0615i | 0.388902 | − | 0.673599i | −0.603400 | − | 0.797439i | ||
0.992302 | + | 0.123840i | ||||||||
0 | 0 | |||||||||
−8.40451 | − | 14.5570i | −0.281878 | − | 0.488228i | |||||
0 | 0 | |||||||||
−4.95159 | + | 45.8563i | −0.165884 | + | 1.53624i | |||||
0 | 0 | |||||||||
−7.94226 | − | 13.7564i | −0.265778 | − | 0.460341i | |||||
0 | 0 | |||||||||
−1.14132 | + | 1.97682i | −0.0381500 | + | 0.0660777i | |||||
0 | 0 | |||||||||
−22.4632 | − | 58.6433i | −0.750026 | − | 1.95804i | |||||
0 | 0 | |||||||||
−2.48538 | −0.0828921 | |||||||||
0 | 0 | |||||||||
−3.49192 | −0.116333 | |||||||||
0 | 0 | |||||||||
−13.6248 | + | 16.8007i | −0.453404 | + | 0.559094i | |||||
0 | 0 | |||||||||
−1.47949 | + | 2.56255i | −0.0491799 | + | 0.0851821i | |||||
0 | 0 | |||||||||
25.0264 | + | 43.3470i | 0.830988 | + | 1.43931i | 0.897256 | + | 0.441511i | ||
−0.0662676 | + | 0.997802i | ||||||||
0 | 0 | |||||||||
−4.44966 | − | 21.0814i | −0.147586 | − | 0.699224i | |||||
0 | 0 | |||||||||
5.42231 | + | 9.39172i | 0.179649 | + | 0.311161i | 0.941760 | − | 0.336285i | ||
−0.762111 | + | 0.647446i | ||||||||
0 | 0 | |||||||||
24.8646 | − | 43.0667i | 0.822897 | − | 1.42530i | |||||
0 | 0 | |||||||||
−2.25296 | − | 0.358476i | −0.0744806 | − | 0.0118509i | |||||
0 | 0 | |||||||||
−4.89931 | −0.161790 | |||||||||
0 | 0 | |||||||||
11.1910 | 0.369156 | 0.184578 | − | 0.982818i | ||||||
0.184578 | + | 0.982818i | ||||||||
0 | 0 | |||||||||
−26.9441 | − | 4.28716i | −0.887837 | − | 0.141267i | |||||
0 | 0 | |||||||||
33.5679 | − | 58.1413i | 1.10490 | − | 1.91374i | |||||
0 | 0 | |||||||||
11.3759 | + | 19.7037i | 0.374038 | + | 0.647853i | |||||
0 | 0 | |||||||||
28.6368 | − | 25.7111i | 0.940556 | − | 0.844462i | |||||
0 | 0 | |||||||||
−20.6478 | − | 35.7630i | −0.677431 | − | 1.17335i | −0.975752 | − | 0.218879i | ||
0.298321 | − | 0.954466i | ||||||||
0 | 0 | |||||||||
−1.83009 | + | 3.16982i | −0.0599789 | + | 0.103887i | |||||
0 | 0 | |||||||||
−21.4090 | + | 26.3995i | −0.700900 | + | 0.864282i | |||||
0 | 0 | |||||||||
−4.53870 | −0.148431 | |||||||||
0 | 0 | |||||||||
−33.5620 | −1.09642 | −0.548211 | − | 0.836340i | ||||||
−0.548211 | + | 0.836340i | ||||||||
0 | 0 | |||||||||
−15.7898 | − | 41.2213i | −0.515279 | − | 1.34521i | |||||
0 | 0 | |||||||||
−25.2112 | + | 43.6671i | −0.821862 | + | 1.42351i | 0.0824315 | + | 0.996597i | ||
−0.904294 | + | 0.426911i | ||||||||
0 | 0 | |||||||||
−20.7902 | − | 36.0096i | −0.677021 | − | 1.17263i | |||||
0 | 0 | |||||||||
1.10589 | + | 0.566453i | 0.0359746 | + | 0.0184267i | |||||
0 | 0 | |||||||||
−10.1212 | − | 17.5304i | −0.328895 | − | 0.569662i | 0.653398 | − | 0.757014i | ||
−0.982293 | + | 0.187352i | ||||||||
0 | 0 | |||||||||
−8.94119 | + | 15.4866i | −0.290243 | + | 0.502716i | |||||
0 | 0 | |||||||||
5.13160 | + | 13.3967i | 0.166404 | + | 0.434419i | |||||
0 | 0 | |||||||||
−29.3685 | −0.951340 | −0.475670 | − | 0.879624i | ||||||
−0.475670 | + | 0.879624i | ||||||||
0 | 0 | |||||||||
3.14884 | 0.101894 | |||||||||
0 | 0 | |||||||||
−19.3703 | + | 23.8856i | −0.626154 | + | 0.772113i | |||||
0 | 0 | |||||||||
2.72257 | − | 4.71563i | 0.0879164 | − | 0.152276i | |||||
0 | 0 | |||||||||
15.2427 | + | 26.4011i | 0.491700 | + | 0.851649i | |||||
0 | 0 | |||||||||
21.5750 | + | 7.04407i | 0.695244 | + | 0.226992i | |||||
0 | 0 | |||||||||
−1.33297 | − | 2.30878i | −0.0429099 | − | 0.0743222i | |||||
0 | 0 | |||||||||
15.2157 | − | 26.3544i | 0.489305 | − | 0.847501i | −0.510619 | − | 0.859807i | ||
0.999924 | + | 0.0123057i | ||||||||
0 | 0 | |||||||||
−23.1884 | − | 3.68958i | −0.744918 | − | 0.118526i | |||||
0 | 0 | |||||||||
7.18659 | 0.230629 | 0.115314 | − | 0.993329i | ||||||
0.115314 | + | 0.993329i | ||||||||
0 | 0 | |||||||||
−5.66019 | −0.181457 | |||||||||
0 | 0 | |||||||||
−41.3074 | − | 6.57256i | −1.32290 | − | 0.210490i | |||||
0 | 0 | |||||||||
−14.2713 | + | 24.7186i | −0.456579 | + | 0.790818i | −0.998777 | − | 0.0494328i | ||
0.542199 | + | 0.840250i | ||||||||
0 | 0 | |||||||||
−19.1888 | − | 33.2359i | −0.613276 | − | 1.06223i | |||||
0 | 0 | |||||||||
−19.9075 | − | 6.49966i | −0.635598 | − | 0.207518i | |||||
0 | 0 | |||||||||
−2.20821 | − | 3.82473i | −0.0704310 | − | 0.121990i | 0.828659 | − | 0.559753i | ||
−0.899090 | + | 0.437763i | ||||||||
0 | 0 | |||||||||
0.0172400 | − | 0.0298606i | 0.000549313 | − | 0.000951438i | |||||
0 | 0 | |||||||||
−4.73461 | + | 5.83826i | −0.150704 | + | 0.185834i | |||||
0 | 0 | |||||||||
92.6791 | 2.94702 | |||||||||
0 | 0 | |||||||||
−5.81341 | −0.184669 | −0.0923345 | − | 0.995728i | ||||||
−0.0923345 | + | 0.995728i | ||||||||
0 | 0 | |||||||||
−7.42270 | − | 19.3780i | −0.235552 | − | 0.614941i | |||||
0 | 0 | |||||||||
2.32777 | − | 4.03182i | 0.0737953 | − | 0.127817i | |||||
0 | 0 | |||||||||
26.3204 | + | 45.5882i | 0.833575 | + | 1.44379i | 0.895186 | + | 0.445694i | ||
−0.0616108 | + | 0.998100i | ||||||||
0 | 0 | |||||||||
−21.2878 | − | 10.9040i | −0.673517 | − | 0.344986i |