Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1638,2,Mod(127,1638)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1638, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1638.127");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 1638.bj (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: | |
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 | 1135.1 | ||
Root | of defining polynomial | ||
Character | 1638.1135 | ||
Dual form | 1638.2.bj.h.127.4 |
-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
−0.866025 | − | 0.500000i | −0.612372 | − | 0.353553i | |||||
0 | 0 | |||||||||
0.500000 | + | 0.866025i | 0.250000 | + | 0.433013i | |||||
− | 2.19147i | − | 0.980055i | −0.871707 | − | 0.490027i | ||||
0.871707 | − | 0.490027i | ||||||||
0 | 0 | |||||||||
0.866025 | − | 0.500000i | 0.327327 | − | 0.188982i | |||||
− | 1.00000i | − | 0.353553i | |||||||
0 | 0 | |||||||||
−1.09573 | + | 1.89787i | −0.346502 | + | 0.600159i | |||||
−3.54195 | − | 2.04495i | −1.06794 | − | 0.616574i | −0.140321 | − | 0.990106i | ||
−0.927617 | + | 0.373532i | ||||||||
0 | 0 | |||||||||
3.53557 | + | 0.706919i | 0.980591 | + | 0.196064i | |||||
−1.00000 | −0.267261 | |||||||||
0 | 0 | |||||||||
−0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | |||||
2.85204 | + | 4.93987i | 0.691720 | + | 1.19809i | 0.971274 | + | 0.237965i | ||
−0.279553 | + | 0.960130i | ||||||||
0 | 0 | |||||||||
6.69612 | − | 3.86601i | 1.53620 | − | 0.886923i | 0.537139 | − | 0.843494i | ||
0.999057 | − | 0.0434286i | ||||||||
1.89787 | − | 1.09573i | 0.424376 | − | 0.245014i | |||||
0 | 0 | |||||||||
2.04495 | + | 3.54195i | 0.435984 | + | 0.755146i | |||||
−1.23791 | + | 2.14412i | −0.258122 | + | 0.447080i | −0.965739 | − | 0.259516i | ||
0.707617 | + | 0.706596i | ||||||||
0 | 0 | |||||||||
0.197462 | 0.0394923 | |||||||||
−2.70844 | − | 2.38000i | −0.531168 | − | 0.466755i | |||||
0 | 0 | |||||||||
0.866025 | + | 0.500000i | 0.163663 | + | 0.0944911i | |||||
4.90888 | − | 8.50243i | 0.911556 | − | 1.57886i | 0.0996903 | − | 0.995019i | ||
0.811866 | − | 0.583844i | ||||||||
0 | 0 | |||||||||
7.19507i | 1.29227i | 0.763222 | + | 0.646137i | ||||||
−0.763222 | + | 0.646137i | ||||||||
0.866025 | − | 0.500000i | 0.153093 | − | 0.0883883i | |||||
0 | 0 | |||||||||
− | 5.70407i | − | 0.978240i | |||||||
−1.09573 | − | 1.89787i | −0.185213 | − | 0.320798i | |||||
0 | 0 | |||||||||
−8.79425 | − | 5.07736i | −1.44577 | − | 0.834713i | −0.447540 | − | 0.894264i | ||
−0.998225 | + | 0.0595505i | ||||||||
−7.73201 | −1.25430 | |||||||||
0 | 0 | |||||||||
−2.19147 | −0.346502 | |||||||||
−3.14093 | − | 1.81341i | −0.490530 | − | 0.283208i | 0.234264 | − | 0.972173i | ||
−0.724794 | + | 0.688965i | ||||||||
0 | 0 | |||||||||
−1.37769 | − | 2.38624i | −0.210096 | − | 0.363897i | 0.741648 | − | 0.670789i | ||
−0.951744 | + | 0.306892i | ||||||||
− | 4.08989i | − | 0.616574i | |||||||
0 | 0 | |||||||||
2.14412 | − | 1.23791i | 0.316133 | − | 0.182520i | |||||
− | 7.70008i | − | 1.12317i | −0.827418 | − | 0.561586i | ||||
0.827418 | − | 0.561586i | ||||||||
0 | 0 | |||||||||
0.500000 | − | 0.866025i | 0.0714286 | − | 0.123718i | |||||
−0.171007 | − | 0.0987308i | −0.0241840 | − | 0.0139626i | |||||
0 | 0 | |||||||||
1.15558 | + | 3.41535i | 0.160250 | + | 0.473624i | |||||
6.31111 | 0.866898 | 0.433449 | − | 0.901178i | ||||||
0.433449 | + | 0.901178i | ||||||||
0 | 0 | |||||||||
−4.48144 | + | 7.76207i | −0.604277 | + | 1.04664i | |||||
−0.500000 | − | 0.866025i | −0.0668153 | − | 0.115728i | |||||
0 | 0 | |||||||||
−8.50243 | + | 4.90888i | −1.11642 | + | 0.644568i | |||||
4.20781 | − | 2.42938i | 0.547810 | − | 0.316278i | −0.200428 | − | 0.979708i | ||
0.748238 | + | 0.663430i | ||||||||
0 | 0 | |||||||||
5.63434 | + | 9.75896i | 0.721403 | + | 1.24951i | 0.960438 | + | 0.278496i | ||
−0.239035 | + | 0.971011i | ||||||||
3.59754 | − | 6.23112i | 0.456888 | − | 0.791353i | |||||
0 | 0 | |||||||||
−1.00000 | −0.125000 | |||||||||
1.54919 | − | 7.74810i | 0.192153 | − | 0.961033i | |||||
0 | 0 | |||||||||
−5.49094 | − | 3.17020i | −0.670825 | − | 0.387301i | 0.125564 | − | 0.992086i | ||
−0.796389 | + | 0.604784i | ||||||||
−2.85204 | + | 4.93987i | −0.345860 | + | 0.599047i | |||||
0 | 0 | |||||||||
2.19147i | 0.261931i | |||||||||
−7.21341 | + | 4.16466i | −0.856074 | + | 0.494255i | −0.862696 | − | 0.505723i | ||
0.00662155 | + | 0.999978i | ||||||||
0 | 0 | |||||||||
− | 7.37805i | − | 0.863536i | −0.901985 | − | 0.431768i | ||||
0.901985 | − | 0.431768i | ||||||||
5.07736 | + | 8.79425i | 0.590231 | + | 1.02231i | |||||
0 | 0 | |||||||||
6.69612 | + | 3.86601i | 0.768098 | + | 0.443461i | |||||
−4.08989 | −0.466086 | |||||||||
0 | 0 | |||||||||
3.45834 | 0.389094 | 0.194547 | − | 0.980893i | ||||||
0.194547 | + | 0.980893i | ||||||||
1.89787 | + | 1.09573i | 0.212188 | + | 0.122507i | |||||
0 | 0 | |||||||||
1.81341 | + | 3.14093i | 0.200258 | + | 0.346857i | |||||
0.332783i | 0.0365277i | 0.999833 | + | 0.0182638i | ||||||
−0.999833 | + | 0.0182638i | ||||||||
0 | 0 | |||||||||
10.8256 | − | 6.25015i | 1.17420 | − | 0.677924i | |||||
2.75539i | 0.297121i | |||||||||
0 | 0 | |||||||||
−2.04495 | + | 3.54195i | −0.217992 | + | 0.377573i | |||||
−11.7151 | − | 6.76374i | −1.24180 | − | 0.716956i | −0.272342 | − | 0.962200i | ||
−0.969461 | + | 0.245245i | ||||||||
0 | 0 | |||||||||
3.41535 | − | 1.15558i | 0.358026 | − | 0.121137i | |||||
−2.47582 | −0.258122 | |||||||||
0 | 0 | |||||||||
−3.85004 | + | 6.66847i | −0.397101 | + | 0.687800i | |||||
−8.47223 | − | 14.6743i | −0.869233 | − | 1.50556i | |||||
0 | 0 | |||||||||
10.0600 | − | 5.80816i | 1.02144 | − | 0.589729i | 0.106920 | − | 0.994268i | ||
0.914521 | + | 0.404539i | ||||||||
−0.866025 | + | 0.500000i | −0.0874818 | + | 0.0505076i | |||||
0 | 0 | |||||||||
0.0987308 | + | 0.171007i | 0.00987308 | + | 0.0171007i | |||||
1.12692 | − | 1.95189i | 0.112133 | − | 0.194220i | −0.804497 | − | 0.593957i | ||
0.916630 | + | 0.399737i | ||||||||
0 | 0 | |||||||||
−16.0325 | −1.57973 | −0.789867 | − | 0.613278i | ||||||
−0.789867 | + | 0.613278i | ||||||||
0.706919 | − | 3.53557i | 0.0693191 | − | 0.346691i | |||||
0 | 0 | |||||||||
−5.46559 | − | 3.15556i | −0.530865 | − | 0.306495i | |||||
4.30793 | − | 7.46156i | 0.416464 | − | 0.721336i | −0.579117 | − | 0.815244i | ||
0.995581 | + | 0.0939082i | ||||||||
0 | 0 | |||||||||
− | 10.0318i | − | 0.960870i | −0.877030 | − | 0.480435i | ||||
0.877030 | − | 0.480435i | ||||||||
7.76207 | − | 4.48144i | 0.740085 | − | 0.427288i | |||||
0 | 0 | |||||||||
1.00000i | 0.0944911i | |||||||||
9.27760 | + | 16.0693i | 0.872763 | + | 1.51167i | 0.859127 | + | 0.511763i | ||
0.0136363 | + | 0.999907i | ||||||||
0 | 0 | |||||||||
4.69878 | + | 2.71284i | 0.438163 | + | 0.252974i | |||||
9.81776 | 0.911556 | |||||||||
0 | 0 | |||||||||
−4.85876 | −0.447285 | |||||||||
4.93987 | + | 2.85204i | 0.452837 | + | 0.261446i | |||||
0 | 0 | |||||||||
2.86360 | + | 4.95991i | 0.260328 | + | 0.450901i | |||||
− | 11.2687i | − | 1.02022i | |||||||
0 | 0 | |||||||||
−6.23112 | + | 3.59754i | −0.559571 | + | 0.323068i | |||||
− | 11.3901i | − | 1.01876i | |||||||
0 | 0 | |||||||||
−0.132439 | + | 0.229390i | −0.0117520 | + | 0.0203551i | −0.871842 | − | 0.489788i | ||
0.860090 | + | 0.510143i | ||||||||
0.866025 | + | 0.500000i | 0.0765466 | + | 0.0441942i | |||||
0 | 0 | |||||||||
−5.21569 | + | 5.93545i | −0.457446 | + | 0.520574i | |||||
5.10237 | 0.445796 | 0.222898 | − | 0.974842i | ||||||
0.222898 | + | 0.974842i | ||||||||
0 | 0 | |||||||||
3.86601 | − | 6.69612i | 0.335225 | − | 0.580627i | |||||
3.17020 | + | 5.49094i | 0.273863 | + | 0.474345i | |||||
0 | 0 | |||||||||
4.93987 | − | 2.85204i | 0.423591 | − | 0.244560i | |||||
−18.8812 | + | 10.9011i | −1.61313 | + | 0.931342i | −0.624493 | + | 0.781030i | ||
−0.988639 | + | 0.150312i | ||||||||
0 | 0 | |||||||||
−8.22455 | − | 14.2453i | −0.697597 | − | 1.20827i | −0.969297 | − | 0.245892i | ||
0.271700 | − | 0.962382i | ||||||||
1.09573 | − | 1.89787i | 0.0926065 | − | 0.160399i | |||||
0 | 0 | |||||||||
8.32933 | 0.698982 | |||||||||
−11.0772 | − | 9.73392i | −0.926322 | − | 0.813991i | |||||
0 | 0 | |||||||||
−18.6328 | − | 10.7577i | −1.54737 | − | 0.893375i | |||||
−3.68903 | + | 6.38958i | −0.305306 | + | 0.528806i | |||||
0 | 0 | |||||||||
− | 10.1547i | − | 0.834713i | |||||||
12.8023 | − | 7.39139i | 1.04880 | − | 0.605526i | 0.126489 | − | 0.991968i | ||
0.922314 | + | 0.386442i | ||||||||
0 | 0 | |||||||||
− | 18.9896i | − | 1.54535i | −0.634803 | − | 0.772674i | ||||
0.634803 | − | 0.772674i | ||||||||
−3.86601 | − | 6.69612i | −0.313575 | − | 0.543127i | |||||
0 | 0 | |||||||||
3.54195 | + | 2.04495i | 0.285418 | + | 0.164786i | |||||
15.7678 | 1.26650 | |||||||||
0 | 0 | |||||||||
−13.5474 | −1.08120 | −0.540601 | − | 0.841279i | ||||||
−0.540601 | + | 0.841279i | ||||||||
−2.99501 | − | 1.72917i | −0.238270 | − | 0.137565i | |||||
0 | 0 | |||||||||
−1.09573 | − | 1.89787i | −0.0866254 | − | 0.150040i | |||||
2.47582i | 0.195122i | |||||||||
0 | 0 | |||||||||
−3.86502 | + | 2.23147i | −0.302732 | + | 0.174782i | −0.643670 | − | 0.765304i | ||
0.340938 | + | 0.940086i | ||||||||
− | 3.62683i | − | 0.283208i | |||||||
0 | 0 | |||||||||
0.166392 | − | 0.288199i | 0.0129145 | − | 0.0223685i | |||||
2.86448 | + | 1.65381i | 0.221660 | + | 0.127976i | 0.606719 | − | 0.794917i | ||
−0.385059 | + | 0.922892i | ||||||||
0 | 0 | |||||||||
12.0005 | + | 4.99872i | 0.923118 | + | 0.384517i | |||||
−12.5003 | −0.958729 | |||||||||
0 | 0 | |||||||||
1.37769 | − | 2.38624i | 0.105048 | − | 0.181949i | |||||
−5.06107 | − | 8.76603i | −0.384786 | − | 0.666469i | 0.606953 | − | 0.794737i | ||
−0.991740 | + | 0.128268i | ||||||||
0 | 0 | |||||||||
0.171007 | − | 0.0987308i | 0.0129269 | − | 0.00746335i | |||||
3.54195 | − | 2.04495i | 0.266984 | − | 0.154144i | |||||
0 | 0 | |||||||||
6.76374 | + | 11.7151i | 0.506964 | + | 0.878088i | |||||
−4.62579 | + | 8.01210i | −0.345748 | + | 0.598853i | −0.985489 | − | 0.169737i | ||
0.639742 | + | 0.768590i | ||||||||
0 | 0 | |||||||||
23.2645 | 1.72923 | 0.864617 | − | 0.502431i | ||||||
0.864617 | + | 0.502431i | ||||||||
−3.53557 | − | 0.706919i | −0.262074 | − | 0.0524003i | |||||
0 | 0 | |||||||||
2.14412 | + | 1.23791i | 0.158067 | + | 0.0912598i | |||||
−11.1269 | + | 19.2723i | −0.818065 | + | 1.41693i | |||||
0 | 0 | |||||||||
− | 23.3290i | − | 1.70599i | |||||||
6.66847 | − | 3.85004i | 0.486348 | − | 0.280793i | |||||
0 | 0 | |||||||||
16.9445i | 1.22928i | |||||||||
−4.45096 | − | 7.70929i | −0.322060 | − | 0.557825i | 0.658853 | − | 0.752272i | ||
−0.980913 | + | 0.194447i | ||||||||
0 | 0 | |||||||||
7.69754 | + | 4.44417i | 0.554081 | + | 0.319899i | 0.750766 | − | 0.660568i | ||
−0.196685 | + | 0.980467i | ||||||||
−11.6163 | −0.834003 | |||||||||
0 | 0 | |||||||||
1.00000 | 0.0714286 | |||||||||
20.2586 | + | 11.6963i | 1.44336 | + | 0.833326i | 0.998072 | − | 0.0620596i | ||
0.445291 | + | 0.895386i | ||||||||
0 | 0 | |||||||||
−1.96804 | − | 3.40875i | −0.139511 | − | 0.241640i | 0.787801 | − | 0.615930i | ||
−0.927312 | + | 0.374290i | ||||||||
− | 0.197462i | − | 0.0139626i | |||||||
0 | 0 | |||||||||
−1.95189 | + | 1.12692i | −0.137334 | + | 0.0792900i | |||||
− | 9.81776i | − | 0.689072i | |||||||
0 | 0 | |||||||||
−3.97404 | + | 6.88324i | −0.277559 | + | 0.480747i | |||||
13.8846 | + | 8.01627i | 0.967385 | + | 0.558520i | |||||
0 | 0 | |||||||||
−2.38000 | + | 2.70844i | −0.165023 | + | 0.187796i | |||||
−31.6231 | −2.18741 | |||||||||
0 | 0 | |||||||||
−6.40104 | + | 11.0869i | −0.440666 | + | 0.763256i | −0.997739 | − | 0.0672076i | ||
0.557073 | + | 0.830464i | ||||||||
3.15556 | + | 5.46559i | 0.216725 | + | 0.375378i | |||||
0 | 0 | |||||||||
−7.46156 | + | 4.30793i | −0.510062 | + | 0.294484i | |||||
−5.22936 | + | 3.01917i | −0.356639 | + | 0.205906i | |||||
0 | 0 | |||||||||
3.59754 | + | 6.23112i | 0.244217 | + | 0.422996i | |||||
−5.01589 | + | 8.68777i | −0.339719 | + | 0.588410i | |||||
0 | 0 | |||||||||
−8.96287 | −0.604277 | |||||||||
6.59149 | + | 19.4814i | 0.443392 | + | 1.31046i | |||||
0 | 0 | |||||||||
16.3236 | + | 9.42444i | 1.09311 | + | 0.631107i | 0.934403 | − | 0.356218i | ||
0.158707 | + | 0.987326i | ||||||||
0.500000 | − | 0.866025i | 0.0334077 | − | 0.0578638i | |||||
0 | 0 | |||||||||
− | 18.5552i | − | 1.23427i | |||||||
1.14246 | − | 0.659599i | 0.0758276 | − | 0.0437791i | −0.461607 | − | 0.887085i | ||
0.537434 | + | 0.843306i | ||||||||
0 | 0 | |||||||||
4.34109i | 0.286867i | 0.989660 | + | 0.143434i | ||||||
−0.989660 | + | 0.143434i | ||||||||
−2.71284 | − | 4.69878i | −0.178879 | − | 0.309828i | |||||
0 | 0 | |||||||||
−8.50243 | − | 4.90888i | −0.558212 | − | 0.322284i | |||||
5.76422 | 0.377627 | 0.188813 | − | 0.982013i | ||||||
0.188813 | + | 0.982013i | ||||||||
0 | 0 | |||||||||
−16.8745 | −1.10077 | |||||||||
4.20781 | + | 2.42938i | 0.273905 | + | 0.158139i | |||||
0 | 0 | |||||||||
−2.85204 | − | 4.93987i | −0.184870 | − | 0.320204i | |||||
13.0951i | 0.847049i | 0.905885 | + | 0.423525i | ||||||
−0.905885 | + | 0.423525i | ||||||||
0 | 0 | |||||||||
−0.389769 | + | 0.225033i | −0.0251072 | + | 0.0144957i | −0.512501 | − | 0.858687i | ||
0.487394 | + | 0.873182i | ||||||||
− | 5.72721i | − | 0.368159i | |||||||
0 | 0 | |||||||||
−5.63434 | + | 9.75896i | −0.360701 | + | 0.624753i | |||||
−1.89787 | − | 1.09573i | −0.121250 | − | 0.0700039i | |||||
0 | 0 | |||||||||
26.4076 | − | 8.93493i | 1.68027 | − | 0.568516i | |||||
7.19507 | 0.456888 | |||||||||
0 | 0 | |||||||||
−5.69504 | + | 9.86410i | −0.360186 | + | 0.623860i | |||||
−9.35111 | − | 16.1966i | −0.590237 | − | 1.02232i | −0.994200 | − | 0.107545i | ||
0.403963 | − | 0.914775i | ||||||||
0 | 0 | |||||||||
8.76922 | − | 5.06291i | 0.551316 | − | 0.318303i | |||||
0.229390 | − | 0.132439i | 0.0143932 | − | 0.00830994i | |||||
0 | 0 | |||||||||
−0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | |||||
−9.88929 | + | 17.1287i | −0.616877 | + | 1.06846i | 0.373175 | + | 0.927761i | ||
−0.990052 | + | 0.140701i | ||||||||
0 | 0 | |||||||||
−10.1547 | −0.630984 | |||||||||
7.48464 | − | 2.53241i | 0.464178 | − | 0.157053i | |||||
0 | 0 | |||||||||
−4.41878 | − | 2.55119i | −0.272993 | − | 0.157613i | |||||
11.7723 | − | 20.3903i | 0.725914 | − | 1.25732i | −0.232683 | − | 0.972553i | ||
0.958597 | − | 0.284767i | ||||||||
0 | 0 | |||||||||
− | 13.8306i | − | 0.849608i | |||||||
−6.69612 | + | 3.86601i | −0.410565 | + | 0.237040i | |||||
0 | 0 | |||||||||
− | 6.34039i | − | 0.387301i | |||||||
11.4216 | + | 19.7827i | 0.696384 | + | 1.20617i | 0.969712 | + | 0.244252i | ||
−0.273327 | + | 0.961921i | ||||||||
0 | 0 | |||||||||
−11.2562 | − | 6.49877i | −0.683766 | − | 0.394772i | 0.117507 | − | 0.993072i | ||
−0.801272 | + | 0.598300i | ||||||||
−5.70407 | −0.345860 | |||||||||
0 | 0 | |||||||||
21.8022 | 1.31712 | |||||||||
−0.699399 | − | 0.403798i | −0.0421753 | − | 0.0243499i | |||||
0 | 0 | |||||||||
−13.4753 | − | 23.3399i | −0.809652 | − | 1.40236i | −0.913105 | − | 0.407724i | ||
0.103453 | − | 0.994634i | ||||||||
16.4491i | 0.986551i | |||||||||
0 | 0 | |||||||||
−1.89787 | + | 1.09573i | −0.113419 | + | 0.0654827i | |||||
0.0773961i | 0.00461706i | 0.999997 | + | 0.00230853i | ||||||
−0.999997 | + | 0.00230853i | ||||||||
0 | 0 | |||||||||
11.1534 | − | 19.3183i | 0.663002 | − | 1.14835i | −0.316821 | − | 0.948485i | ||
0.979823 | − | 0.199867i | ||||||||
−7.21341 | − | 4.16466i | −0.428037 | − | 0.247127i | |||||
0 | 0 | |||||||||
4.72618 | + | 13.9684i | 0.279465 | + | 0.825970i | |||||
−3.62683 | −0.214085 | |||||||||
0 | 0 | |||||||||
−7.76822 | + | 13.4550i | −0.456954 | + | 0.791468i | |||||
10.7577 | + | 18.6328i | 0.631712 | + | 1.09416i | |||||
0 | 0 | |||||||||
6.38958 | − | 3.68903i | 0.373922 | − | 0.215884i | |||||
−5.16126 | + | 2.97986i | −0.301524 | + | 0.174085i | −0.643127 | − | 0.765759i | ||
0.341603 | + | 0.939844i | ||||||||
0 | 0 | |||||||||
−5.32391 | − | 9.22128i | −0.309970 | − | 0.536884i | |||||
−5.07736 | + | 8.79425i | −0.295116 | + | 0.511155i | |||||
0 | 0 | |||||||||
−14.7828 | −0.856344 | |||||||||
−5.89243 | + | 6.70559i | −0.340768 | + | 0.387794i | |||||
0 | 0 | |||||||||
−2.38624 | − | 1.37769i | −0.137540 | − | 0.0794089i | |||||
−9.49478 | + | 16.4454i | −0.546363 | + | 0.946329i | |||||
0 | 0 | |||||||||
7.73201i | 0.443461i | |||||||||
21.3865 | − | 12.3475i | 1.22459 | − | 0.707015i | |||||
0 | 0 | |||||||||
31.1089i | 1.77548i | 0.460349 | + | 0.887738i | ||||||
−0.460349 | + | 0.887738i | ||||||||
−2.04495 | − | 3.54195i | −0.116522 | − | 0.201821i | |||||
0 | 0 | |||||||||
−13.6553 | − | 7.88389i | −0.775569 | − | 0.447775i | |||||
−3.48435 | −0.197579 | −0.0987896 | − | 0.995108i | ||||||
−0.0987896 | + | 0.995108i | ||||||||
0 | 0 | |||||||||
10.2750 | 0.580779 | 0.290389 | − | 0.956909i | ||||||
0.290389 | + | 0.956909i | ||||||||
11.7324 | + | 6.77371i | 0.662098 | + | 0.382262i | |||||
0 | 0 | |||||||||
1.72917 | + | 2.99501i | 0.0972734 | + | 0.168483i | |||||
26.5282i | 1.48997i | 0.667080 | + | 0.744986i | ||||||
−0.667080 | + | 0.744986i | ||||||||
0 | 0 | |||||||||
−34.7740 | + | 20.0768i | −1.94697 | + | 1.12408i | |||||
2.19147i | 0.122507i | |||||||||
0 | 0 | |||||||||
1.23791 | − | 2.14412i | 0.0689860 | − | 0.119487i | |||||
38.1951 | + | 22.0520i | 2.12523 | + | 1.22700i | |||||
0 | 0 | |||||||||
0.698140 | + | 0.139589i | 0.0387258 | + | 0.00774302i | |||||
4.46294 | 0.247180 | |||||||||
0 | 0 | |||||||||
−1.81341 | + | 3.14093i | −0.100129 | + | 0.173429i | |||||
−3.85004 | − | 6.66847i | −0.212260 | − | 0.367645i | |||||
0 | 0 | |||||||||
−24.8329 | + | 14.3373i | −1.36494 | + | 0.788048i | −0.990277 | − | 0.139113i | ||
−0.374663 | + | 0.927161i | ||||||||
−0.288199 | + | 0.166392i | −0.0158170 | + | 0.00913192i | |||||
0 | 0 | |||||||||
−1.65381 | − | 2.86448i | −0.0904924 | − | 0.156737i | |||||
−6.94739 | + | 12.0332i | −0.379576 | + | 0.657445i | |||||
0 | 0 | |||||||||
4.82923 | 0.263065 | 0.131532 | − | 0.991312i | ||||||
0.131532 | + | 0.991312i | ||||||||
−7.89340 | − | 10.3293i | −0.429345 | − | 0.561839i | |||||
0 | 0 | |||||||||
10.8256 | + | 6.25015i | 0.587099 | + | 0.338962i | |||||
14.7135 | − | 25.4846i | 0.796783 | − | 1.38007i | |||||
0 | 0 | |||||||||
− | 1.00000i | − | 0.0539949i | |||||||
−2.38624 | + | 1.37769i | −0.128657 | + | 0.0742803i | |||||
0 | 0 | |||||||||
10.1221i | 0.544170i | |||||||||
15.2594 | + | 26.4300i | 0.819167 | + | 1.41884i | 0.906297 | + | 0.422642i | ||
−0.0871296 | + | 0.996197i | ||||||||
0 | 0 | |||||||||
−4.60570 | − | 2.65910i | −0.246537 | − | 0.142338i | 0.371640 | − | 0.928377i | ||
−0.618178 | + | 0.786038i | ||||||||
−0.197462 | −0.0105548 | |||||||||
0 | 0 | |||||||||
−4.08989 | −0.217992 | |||||||||
24.4457 | + | 14.1137i | 1.30111 | + | 0.751199i | 0.980595 | − | 0.196043i | ||
0.320519 | + | 0.947242i | ||||||||
0 | 0 | |||||||||
9.12673 | + | 15.8080i | 0.484397 | + | 0.839000i | |||||
− | 13.5275i | − | 0.716956i | |||||||
0 | 0 | |||||||||
8.01210 | − | 4.62579i | 0.423453 | − | 0.244481i | |||||
7.58573i | 0.400359i | 0.979759 | + | 0.200180i | ||||||
−0.979759 | + | 0.200180i | ||||||||
0 | 0 | |||||||||
20.3920 | − | 35.3200i | 1.07326 | − | 1.85895i | |||||
−20.1476 | − | 11.6322i | −1.05894 | − | 0.611377i | |||||
0 | 0 | |||||||||
2.70844 | + | 2.38000i | 0.141961 | + | 0.124746i | |||||
−16.1688 | −0.846313 | |||||||||
0 | 0 | |||||||||
5.92558 | − | 10.2634i | 0.309313 | − | 0.535746i | −0.668899 | − | 0.743353i | ||
0.978212 | + | 0.207607i | ||||||||
−1.23791 | − | 2.14412i | −0.0645305 | − | 0.111770i | |||||
0 | 0 | |||||||||
19.2723 | − | 11.1269i | 1.00192 | − | 0.578459i | |||||
5.46559 | − | 3.15556i | 0.283759 | − | 0.163828i | |||||
0 | 0 | |||||||||
14.9133 | + | 25.8306i | 0.772182 | + | 1.33746i | 0.936365 | + | 0.351028i | ||
−0.164183 | + | 0.986430i | ||||||||
−11.6645 | + | 20.2035i | −0.603158 | + | 1.04470i | |||||
0 | 0 | |||||||||
−7.70008 | −0.397101 | |||||||||
23.3662 | − | 26.5908i | 1.20342 | − | 1.36949i | |||||
0 | 0 | |||||||||
−1.55298 | − | 0.896611i | −0.0797711 | − | 0.0460558i | 0.459584 | − | 0.888134i | ||
−0.539355 | + | 0.842079i | ||||||||
8.47223 | − | 14.6743i | 0.434616 | − | 0.752778i | |||||
0 | 0 | |||||||||
8.90192i | 0.455462i | |||||||||
−14.4611 | + | 8.34912i | −0.738927 | + | 0.426620i | −0.821679 | − | 0.569950i | ||
0.0827518 | + | 0.996570i | ||||||||
0 | 0 | |||||||||
8.96287i | 0.456790i | |||||||||
−4.44417 | − | 7.69754i | −0.226203 | − | 0.391794i | |||||
0 | 0 | |||||||||
10.0600 | + | 5.80816i | 0.510720 | + | 0.294864i | |||||
−15.6288 | −0.792413 | −0.396207 | − | 0.918161i | ||||||
−0.396207 | + | 0.918161i | ||||||||
0 | 0 | |||||||||
−14.1222 | −0.714192 | |||||||||
−0.866025 | − | 0.500000i | −0.0437409 | − | 0.0252538i | |||||
0 | 0 | |||||||||
−11.6963 | − | 20.2586i | −0.589251 | − | 1.02061i | |||||
− | 7.57885i | − | 0.381333i | |||||||
0 | 0 | |||||||||
4.86182 | − | 2.80697i | 0.244008 | − | 0.140878i | −0.373010 | − | 0.927827i | ||
0.617017 | + | 0.786950i | ||||||||
3.93608i | 0.197298i | |||||||||
0 | 0 | |||||||||
−0.0987308 | + | 0.171007i | −0.00493654 | + | 0.00855034i | |||||
−21.8559 | − | 12.6185i | −1.09143 | − | 0.630139i | −0.157475 | − | 0.987523i | ||
−0.933957 | + | 0.357384i | ||||||||
0 | 0 | |||||||||
−5.08633 | + | 25.4387i | −0.253368 | + | 1.26719i | |||||
2.25385 | 0.112133 | |||||||||
0 | 0 | |||||||||
−4.90888 | + | 8.50243i | −0.243624 | + | 0.421969i | |||||
20.7659 | + | 35.9675i | 1.02933 | + | 1.78284i | |||||
0 | 0 | |||||||||
25.0467 | − | 14.4607i | 1.23848 | − | 0.715037i | 0.269697 | − | 0.962945i | ||
0.968784 | + | 0.247908i | ||||||||
6.88324 | − | 3.97404i | 0.339939 | − | 0.196264i | |||||
0 | 0 | |||||||||
−8.01627 | − | 13.8846i | −0.394933 | − | 0.684045i | |||||
2.42938 | − | 4.20781i | 0.119542 | − | 0.207053i | |||||
0 | 0 | |||||||||
0.729284 | 0.0357991 | |||||||||
3.41535 | − | 1.15558i | 0.167452 | − | 0.0566568i | |||||
0 | 0 | |||||||||
27.3864 | + | 15.8115i | 1.33951 | + | 0.773368i | |||||
−16.0468 | + | 27.7939i | −0.783938 | + | 1.35782i | 0.145693 | + | 0.989330i | ||
−0.929631 | + | 0.368491i | ||||||||
0 | 0 | |||||||||
1.02963i | 0.0501810i | 0.999685 | + | 0.0250905i | ||||||
−0.999685 | + | 0.0250905i | ||||||||
11.0869 | − | 6.40104i | 0.539703 | − | 0.311598i | |||||
0 | 0 | |||||||||
− | 6.31111i | − | 0.306495i | |||||||
0.563168 | + | 0.975435i | 0.0273176 | + | 0.0473155i | |||||
0 | 0 | |||||||||
9.75896 | + | 5.63434i | 0.472269 | + | 0.272665i | |||||
8.61586 | 0.416464 | |||||||||
0 | 0 | |||||||||
6.03835 | 0.291195 | |||||||||
30.5908 | + | 17.6616i | 1.47350 | + | 0.850728i | 0.999555 | − | 0.0298236i | ||
0.473950 | + | 0.880552i | ||||||||
0 | 0 | |||||||||
10.0469 | + | 17.4018i | 0.482824 | + | 0.836276i | 0.999806 | − | 0.0197204i | ||
−0.516981 | + | 0.855997i | ||||||||
− | 7.19507i | − | 0.345375i | |||||||
0 | 0 | |||||||||
8.68777 | − | 5.01589i | 0.416069 | − | 0.240217i | |||||
19.1431i | 0.915736i | |||||||||
0 | 0 | |||||||||
6.52940 | − | 11.3093i | 0.311631 | − | 0.539761i | −0.667084 | − | 0.744982i | ||
0.978716 | + | 0.205221i | ||||||||
7.76207 | + | 4.48144i | 0.370042 | + | 0.213644i | |||||
0 | 0 | |||||||||
4.03232 | − | 20.1672i | 0.191798 | − | 0.959254i | |||||
−7.46148 | −0.354506 | −0.177253 | − | 0.984165i | ||||||
−0.177253 | + | 0.984165i | ||||||||
0 | 0 | |||||||||
−14.8225 | + | 25.6734i | −0.702656 | + | 1.21704i | |||||
−9.42444 | − | 16.3236i | −0.446260 | − | 0.772945i | |||||
0 | 0 | |||||||||
−0.866025 | + | 0.500000i | −0.0409159 | + | 0.0236228i | |||||
8.28796 | − | 4.78506i | 0.391133 | − | 0.225821i | −0.291518 | − | 0.956565i | ||
0.682651 | + | 0.730745i | ||||||||
0 | 0 | |||||||||
7.41667 | + | 12.8460i | 0.349237 | + | 0.604897i | |||||
−9.27760 | + | 16.0693i | −0.436382 | + | 0.755835i | |||||
0 | 0 | |||||||||
−1.31920 | −0.0619130 | |||||||||
−2.53241 | − | 7.48464i | −0.118721 | − | 0.350886i | |||||
0 | 0 | |||||||||
22.3679 | + | 12.9141i | 1.04633 | + | 0.604097i | 0.921619 | − | 0.388097i | ||
0.124708 | + | 0.992194i | ||||||||
2.17054 | − | 3.75949i | 0.101423 | − | 0.175670i | |||||
0 | 0 | |||||||||
5.42568i | 0.252974i | |||||||||
1.35535 | − | 0.782512i | 0.0631250 | − | 0.0364452i | −0.468105 | − | 0.883673i | ||
0.531230 | + | 0.847227i | ||||||||
0 | 0 | |||||||||
20.4863i | 0.952080i | 0.879424 | + | 0.476040i | ||||||
−0.879424 | + | 0.476040i | ||||||||
4.90888 | + | 8.50243i | 0.227889 | + | 0.394716i | |||||
0 | 0 | |||||||||
−4.99196 | − | 2.88211i | −0.231248 | − | 0.133511i | |||||
3.80822 | 0.176224 | 0.0881118 | − | 0.996111i | ||||||
0.0881118 | + | 0.996111i | ||||||||
0 | 0 | |||||||||
−6.34039 | −0.292772 | |||||||||
14.6137 | + | 8.43725i | 0.674082 | + | 0.389181i | |||||
0 | 0 | |||||||||
−2.42938 | − | 4.20781i | −0.111821 | − | 0.193680i | |||||
11.2692i | 0.518160i | |||||||||
0 | 0 | |||||||||
1.32223 | − | 0.763388i | 0.0606679 | − | 0.0350266i | |||||
5.70407i | 0.261446i | |||||||||
0 | 0 | |||||||||
6.54753 | − | 11.3407i | 0.299477 | − | 0.518710i | |||||
20.8886 | + | 12.0600i | 0.954425 | + | 0.551037i | 0.894453 | − | 0.447163i | ||
0.0599720 | + | 0.998200i | ||||||||
0 | 0 | |||||||||
−27.5034 | − | 24.1682i | −1.25405 | − | 1.10197i | |||||
0.450067 | 0.0205000 | |||||||||
0 | 0 | |||||||||
−2.86360 | + | 4.95991i | −0.130164 | + | 0.225450i | |||||
−12.7284 | − | 22.0462i | −0.577967 | − | 1.00107i | |||||
0 | 0 | |||||||||
−6.65422 | + | 3.84182i | −0.301532 | + | 0.174089i | −0.643131 | − | 0.765756i | ||
0.341599 | + | 0.939846i | ||||||||
9.75896 | − | 5.63434i | 0.441767 | − | 0.255054i | |||||
0 | 0 | |||||||||
1.09573 | + | 1.89787i | 0.0495002 | + | 0.0857369i | |||||
−16.2767 | + | 28.1921i | −0.734557 | + | 1.27229i | 0.220360 | + | 0.975419i | ||
−0.954917 | + | 0.296872i | ||||||||
0 | 0 | |||||||||
56.0012 | 2.52217 | |||||||||
−27.3371 | − | 5.46590i | −1.22995 | − | 0.245923i | |||||
0 | 0 | |||||||||
−6.23112 | − | 3.59754i | −0.279785 | − | 0.161534i | |||||
−4.16466 | + | 7.21341i | −0.186811 | + | 0.323566i | |||||
0 | 0 | |||||||||
5.87524i | 0.263012i | 0.991315 | + | 0.131506i | ||||||
−0.991315 | + | 0.131506i | ||||||||
9.86410 | − | 5.69504i | 0.441136 | − | 0.254690i | |||||
0 | 0 | |||||||||
18.7022i | 0.834721i | |||||||||
11.0238 | + | 19.0939i | 0.491529 | + | 0.851353i | 0.999952 | − | 0.00975426i | ||
−0.508424 | + | 0.861107i | ||||||||
0 | 0 | |||||||||
−4.27750 | − | 2.46962i | −0.190346 | − | 0.109897i | |||||
−10.1258 | −0.450148 | |||||||||
0 | 0 | |||||||||
−0.264877 | −0.0117520 | |||||||||
5.86940 | + | 3.38870i | 0.260156 | + | 0.150201i | 0.624406 | − | 0.781100i | ||
−0.364249 | + | 0.931301i | ||||||||
0 | 0 | |||||||||
−3.68903 | − | 6.38958i | −0.163193 | − | 0.282658i | |||||
1.00000i | 0.0441942i | |||||||||
0 | 0 | |||||||||
17.1287 | − | 9.88929i | 0.755517 | − | 0.436198i | |||||
35.1348i | 1.54823i | |||||||||
0 | 0 | |||||||||
−15.7463 | + | 27.2733i | −0.692519 | + | 1.19948i | |||||
8.79425 | + | 5.07736i | 0.386397 | + | 0.223086i | |||||
0 | 0 | |||||||||
−7.74810 | − | 1.54919i | −0.339777 | − | 0.0679365i | |||||
2.61232 | 0.114448 | 0.0572240 | − | 0.998361i | ||||||
0.0572240 | + | 0.998361i | ||||||||
0 | 0 | |||||||||
−4.02060 | + | 6.96388i | −0.175809 | + | 0.304509i | −0.940441 | − | 0.339957i | ||
0.764632 | + | 0.644467i | ||||||||
2.55119 | + | 4.41878i | 0.111449 | + | 0.193035i | |||||
0 | 0 | |||||||||
−20.3903 | + | 11.7723i | −0.889059 | + | 0.513299i | |||||
−35.5427 | + | 20.5206i | −1.54827 | + | 0.893892i | |||||
0 | 0 | |||||||||
8.43516 | + | 14.6101i | 0.366746 | + | 0.635223i | |||||
−6.91531 | + | 11.9777i | −0.300382 | + | 0.520276i | |||||
0 | 0 | |||||||||
7.73201 | 0.335225 | |||||||||
−9.82303 | − | 8.63184i | −0.425483 | − | 0.373886i | |||||
0 | 0 | |||||||||
−16.3518 | − | 9.44070i | −0.706949 | − | 0.408157i | |||||
−3.17020 | + | 5.49094i | −0.136932 | + | 0.237172i | |||||
0 | 0 | |||||||||
− | 22.8431i | − | 0.984836i | |||||||
−3.54195 | + | 2.04495i | −0.152563 | + | 0.0880820i | |||||
0 | 0 | |||||||||
− | 21.6552i | − | 0.931029i | −0.885040 | − | 0.465514i | ||||
0.885040 | − | 0.465514i | ||||||||
6.49877 | + | 11.2562i | 0.279146 | + | 0.483495i | |||||
0 | 0 | |||||||||
4.93987 | + | 2.85204i | 0.211795 | + | 0.122280i | |||||
−21.9843 | −0.941705 | |||||||||
0 | 0 | |||||||||
−32.9495 | −1.40882 | −0.704409 | − | 0.709795i | ||||||
−0.704409 | + | 0.709795i | ||||||||
−18.8812 | − | 10.9011i | −0.806566 | − | 0.465671i | |||||
0 | 0 | |||||||||
0.403798 | + | 0.699399i | 0.0172180 | + | 0.0298225i | |||||
− | 75.9111i | − | 3.23392i | |||||||
0 | 0 | |||||||||
2.99501 | − | 1.72917i | 0.127361 | − | 0.0735318i | |||||
26.9506i | 1.14502i | |||||||||
0 | 0 | |||||||||
8.22455 | − | 14.2453i | 0.348799 | − | 0.604137i | |||||
0.280535 | + | 0.161967i | 0.0118866 | + | 0.00686276i | 0.505932 | − | 0.862574i | ||
−0.494045 | + | 0.869436i | ||||||||
0 | 0 | |||||||||
−3.18406 | − | 9.41062i | −0.134671 | − | 0.398027i | |||||
2.19147 | 0.0926065 | |||||||||
0 | 0 | |||||||||
0.0386980 | − | 0.0670270i | 0.00163238 | − | 0.00282736i | |||||
−18.3668 | − | 31.8123i | −0.774070 | − | 1.34073i | −0.935316 | − | 0.353815i | ||
0.161245 | − | 0.986914i | ||||||||
0 | 0 | |||||||||
35.2153 | − | 20.3316i | 1.48152 | − | 0.855356i | |||||
−19.3183 | + | 11.1534i | −0.812008 | + | 0.468813i | |||||
0 | 0 | |||||||||
4.16466 | + | 7.21341i | 0.174745 | + | 0.302668i | |||||
1.32995 | − | 2.30354i | 0.0557544 | − | 0.0965695i | −0.836801 | − | 0.547507i | ||
0.892556 | + | 0.450937i | ||||||||
0 | 0 | |||||||||
4.29994 | 0.179947 | 0.0899735 | − | 0.995944i | ||||||
0.0899735 | + | 0.995944i | ||||||||
2.89122 | − | 14.4601i | 0.120888 | − | 0.604607i | |||||
0 | 0 | |||||||||
3.14093 | + | 1.81341i | 0.131100 | + | 0.0756905i | |||||
−0.244439 | + | 0.423381i | −0.0101938 | + | 0.0176562i | |||||
0 | 0 | |||||||||
− | 2.08429i | − | 0.0867702i | −0.999058 | − | 0.0433851i | ||||
0.999058 | − | 0.0433851i | ||||||||
13.4550 | − | 7.76822i | 0.559652 | − | 0.323115i | |||||
0 | 0 | |||||||||
− | 21.5153i | − | 0.893375i | |||||||
0.166392 | + | 0.288199i | 0.00690308 | + | 0.0119565i | |||||
0 | 0 | |||||||||
−22.3536 | − | 12.9059i | −0.925793 | − | 0.534507i | |||||
−7.37805 | −0.305306 | |||||||||
0 | 0 | |||||||||
5.95971 | 0.246193 | |||||||||
−12.9028 | − | 7.44945i | −0.532556 | − | 0.307472i | 0.209500 | − | 0.977809i | ||
−0.742057 | + | 0.670337i | ||||||||
0 | 0 | |||||||||
27.8162 | + | 48.1791i | 1.14615 | + | 1.98518i | |||||
10.6478i | 0.438364i | |||||||||
0 | 0 | |||||||||
8.79425 | − | 5.07736i | 0.361441 | − | 0.208678i | |||||
− | 1.36361i | − | 0.0559968i | −0.999608 | − | 0.0279984i | ||||
0.999608 | − | 0.0279984i | ||||||||
0 | 0 | |||||||||
6.25015 | − | 10.8256i | 0.256231 | − | 0.443805i | |||||
12.8023 | + | 7.39139i | 0.524401 | + | 0.302763i | |||||
0 | 0 | |||||||||
8.45579 | − | 2.86100i | 0.345783 | − | 0.116995i | |||||
−18.0030 | −0.735581 | −0.367790 | − | 0.929909i | ||||||
−0.367790 | + | 0.929909i | ||||||||
0 | 0 | |||||||||
6.76892 | − | 11.7241i | 0.276110 | − | 0.478237i | −0.694305 | − | 0.719681i | ||
0.970415 | + | 0.241445i | ||||||||
1.37769 | + | 2.38624i | 0.0561506 | + | 0.0972557i | |||||
0 | 0 | |||||||||
16.4454 | − | 9.49478i | 0.669155 | − | 0.386337i | |||||
10.8695 | − | 6.27550i | 0.441907 | − | 0.255135i | |||||
0 | 0 | |||||||||
1.10556 | + | 1.91489i | 0.0448733 | + | 0.0777228i | 0.887590 | − | 0.460635i | ||
−0.842716 | + | 0.538358i | ||||||||
3.86601 | − | 6.69612i | 0.156787 | − | 0.271563i | |||||
0 | 0 | |||||||||
−24.6950 | −0.999870 | |||||||||
5.44333 | − | 27.2242i | 0.220214 | − | 1.10137i | |||||
0 | 0 | |||||||||
22.5849 | + | 13.0394i | 0.912195 | + | 0.526656i | 0.881137 | − | 0.472862i | ||
0.0310579 | + | 0.999518i | ||||||||
15.5544 | − | 26.9411i | 0.627726 | − | 1.08725i | |||||
0 | 0 | |||||||||
4.08989i | 0.164786i | |||||||||
24.5921 | − | 14.1983i | 0.990042 | − | 0.571601i | 0.0847549 | − | 0.996402i | ||
0.905287 | + | 0.424801i | ||||||||
0 | 0 | |||||||||
14.7197i | 0.591633i | 0.955245 | + | 0.295817i | ||||||
−0.955245 | + | 0.295817i | ||||||||
7.88389 | + | 13.6553i | 0.316625 | + | 0.548410i | |||||
0 | 0 | |||||||||
3.01753 | + | 1.74217i | 0.120992 | + | 0.0698548i | |||||
−13.5275 | −0.541967 | |||||||||
0 | 0 | |||||||||
−23.9737 | −0.958948 | |||||||||
−8.89843 | − | 5.13751i | −0.355653 | − | 0.205336i | |||||
0 | 0 | |||||||||
−6.77371 | − | 11.7324i | −0.270300 | − | 0.468174i | |||||
− | 57.9233i | − | 2.30955i | |||||||
0 | 0 | |||||||||
−24.3684 | + | 14.0691i | −0.970090 | + | 0.560082i | −0.899264 | − | 0.437407i | ||
−0.0708262 | + | 0.997489i | ||||||||
− | 3.45834i | − | 0.137565i | |||||||
0 | 0 | |||||||||
13.2641 | − | 22.9741i | 0.526785 | − | 0.912418i | |||||
0.502702 | + | 0.290235i | 0.0199491 | + | 0.0115176i | |||||
0 | 0 | |||||||||
2.38000 | − | 2.70844i | 0.0942988 | − | 0.107312i | |||||
40.1536 | 1.58970 | |||||||||
0 | 0 | |||||||||
1.09573 | − | 1.89787i | 0.0433127 | − | 0.0750198i | |||||
−3.89572 | − | 6.74758i | −0.153872 | − | 0.266513i | 0.778776 | − | 0.627302i | ||
−0.932648 | + | 0.360789i | ||||||||
0 | 0 | |||||||||
−29.3656 | + | 16.9542i | −1.15807 | + | 0.668610i | −0.950840 | − | 0.309683i | ||
−0.207227 | + | 0.978293i | ||||||||
−2.14412 | + | 1.23791i | −0.0844902 | + | 0.0487804i | |||||
0 | 0 | |||||||||
−22.0520 | − | 38.1951i | −0.867624 | − | 1.50277i | |||||
−2.20290 | + | 3.81554i | −0.0866050 | + | 0.150004i | −0.906074 | − | 0.423119i | ||
0.819469 | + | 0.573123i | ||||||||
0 | 0 | |||||||||
−19.8718 | −0.780036 | |||||||||
−0.534812 | − | 0.469958i | −0.0209771 | − | 0.0184333i | |||||
0 | 0 | |||||||||
−3.86502 | − | 2.23147i | −0.151366 | − | 0.0873912i | |||||
13.8081 | − | 23.9163i | 0.540352 | − | 0.935916i | −0.458532 | − | 0.888678i | ||
0.998884 | − | 0.0472385i | ||||||||
0 | 0 | |||||||||
− | 11.1817i | − | 0.436905i | |||||||
3.14093 | − | 1.81341i | 0.122633 | − | 0.0708019i | |||||
0 | 0 | |||||||||
7.70008i | 0.300181i | |||||||||
3.72022 | + | 6.44362i | 0.144919 | + | 0.251008i | 0.929343 | − | 0.369218i | ||
−0.784423 | + | 0.620226i | ||||||||
0 | 0 | |||||||||
1.02781 | + | 0.593407i | 0.0399772 | + | 0.0230809i | 0.519855 | − | 0.854254i | ||
−0.479878 | + | 0.877335i | ||||||||
28.6746 | 1.11447 | |||||||||
0 | 0 | |||||||||
0.332783 | 0.0129145 | |||||||||
−14.6743 | − | 8.47223i | −0.569047 | − | 0.328539i | |||||
0 | 0 | |||||||||
12.1535 | + | 21.0505i | 0.470585 | + | 0.815077i | |||||
3.30762i | 0.127976i | |||||||||
0 | 0 | |||||||||
12.0332 | − | 6.94739i | 0.464884 | − | 0.268401i | |||||
− | 46.0876i | − | 1.77919i | |||||||
0 | 0 | |||||||||
−1.14981 | + | 1.99153i | −0.0443219 | + | 0.0767678i | −0.887335 | − | 0.461125i | ||
0.843013 | + | 0.537893i | ||||||||
−4.18223 | − | 2.41461i | −0.161094 | − | 0.0930074i | |||||
0 | 0 | |||||||||
1.67124 | + | 12.8921i | 0.0642786 | + | 0.495851i | |||||
−6.12752 | −0.235500 | −0.117750 | − | 0.993043i | ||||||
−0.117750 | + | 0.993043i | ||||||||
0 | 0 | |||||||||
5.80816 | − | 10.0600i | 0.222897 | − | 0.386068i | |||||
−6.25015 | − | 10.8256i | −0.239682 | − | 0.415142i | |||||
0 | 0 | |||||||||
−25.4846 | + | 14.7135i | −0.975855 | + | 0.563410i | |||||
8.69462 | − | 5.01984i | 0.332691 | − | 0.192079i | −0.324344 | − | 0.945939i | ||
0.657035 | + | 0.753860i | ||||||||
0 | 0 | |||||||||
23.8894 | + | 41.3776i | 0.912766 | + | 1.58096i | |||||
−0.500000 | + | 0.866025i | −0.0190901 | + | 0.0330650i | |||||
0 | 0 | |||||||||
2.75539 | 0.105048 | |||||||||
22.3134 | + | 4.46144i | 0.850073 | + | 0.169967i | |||||
0 | 0 | |||||||||
−19.2007 | − | 11.0855i | −0.730428 | − | 0.421713i | 0.0881509 | − | 0.996107i | ||
−0.818579 | + | 0.574394i | ||||||||
5.06107 | − | 8.76603i | 0.192393 | − | 0.333235i | |||||
0 | 0 | |||||||||
− | 30.5188i | − | 1.15848i | |||||||
−31.2182 | + | 18.0238i | −1.18417 | + | 0.683684i | |||||
0 | 0 | |||||||||
− | 20.6877i | − | 0.783602i | |||||||
2.65910 | + | 4.60570i | 0.100648 | + | 0.174328i | |||||
0 | 0 | |||||||||
0.171007 | + | 0.0987308i | 0.00646345 | + | 0.00373167i | |||||
−21.3510 | −0.806416 | −0.403208 | − | 0.915108i | ||||||
−0.403208 | + | 0.915108i | ||||||||
0 | 0 | |||||||||
−78.5165 | −2.96130 | |||||||||
3.54195 | + | 2.04495i | 0.133492 | + | 0.0770718i | |||||
0 | 0 | |||||||||
−14.1137 | − | 24.4457i | −0.531178 | − | 0.920027i | |||||
− | 2.25385i | − | 0.0847646i | |||||||
0 | 0 | |||||||||
21.5442 | − | 12.4385i | 0.809109 | − | 0.467139i | −0.0375376 | − | 0.999295i | ||
0.846646 | + | 0.532156i | ||||||||
− | 18.2535i | − | 0.685040i | |||||||
0 | 0 | |||||||||
−6.76374 | + | 11.7151i | −0.253482 | + | 0.439044i | |||||
−15.4271 | − | 8.90685i | −0.577750 | − | 0.333564i | |||||
0 | 0 | |||||||||
−21.3316 | + | 24.2754i | −0.797756 | + | 0.907847i | |||||
−9.25158 | −0.345748 | |||||||||
0 | 0 | |||||||||
3.79286 | − | 6.56943i | 0.141548 | − | 0.245169i | |||||
−11.5010 | − | 19.9203i | −0.428914 | − | 0.742901i | 0.567863 | − | 0.823123i | ||
−0.996777 | + | 0.0802222i | ||||||||
0 | 0 | |||||||||
−13.8846 | + | 8.01627i | −0.517089 | + | 0.298542i | |||||
−35.3200 | + | 20.3920i | −1.31447 | + | 0.758912i | |||||
0 | 0 | |||||||||
11.6322 | + | 20.1476i | 0.432309 | + | 0.748781i | |||||
0.969316 | − | 1.67890i | 0.0359995 | − | 0.0623529i | |||||
0 | 0 | |||||||||
−3.42508 | −0.127029 | −0.0635146 | − | 0.997981i | ||||||
−0.0635146 | + | 0.997981i | ||||||||
−1.15558 | − | 3.41535i | −0.0428285 | − | 0.126581i | |||||
0 | 0 | |||||||||
14.0026 | + | 8.08439i | 0.518258 | + | 0.299217i | |||||
7.85846 | − | 13.6113i | 0.290656 | − | 0.503431i | |||||
0 | 0 | |||||||||
21.6929i | 0.801247i | 0.916243 | + | 0.400624i | ||||||
−0.916243 | + | 0.400624i | ||||||||
−10.2634 | + | 5.92558i | −0.378829 | + | 0.218717i | |||||
0 | 0 | |||||||||
2.47582i | 0.0912598i | |||||||||
12.9658 | + | 22.4573i | 0.477600 | + | 0.827227i | |||||
0 | 0 | |||||||||
−44.6284 | − | 25.7662i | −1.64168 | − | 0.947826i | −0.980236 | − | 0.197833i | ||
−0.661447 | − | 0.749992i | ||||||||
−22.2538 | −0.818065 | |||||||||
0 | 0 | |||||||||
−6.31111 | −0.231688 | |||||||||
41.6540 | + | 24.0489i | 1.52814 | + | 0.882270i | 0.999440 | + | 0.0334593i | ||
0.528697 | + | 0.848811i | ||||||||
0 | 0 | |||||||||
−16.1980 | − | 28.0558i | −0.593449 | − | 1.02788i | |||||
− | 29.8266i | − | 1.09203i | |||||||
0 | 0 | |||||||||
20.2035 | − | 11.6645i | 0.738714 | − | 0.426497i | |||||
− | 8.61586i | − | 0.314817i | |||||||
0 | 0 | |||||||||
−14.7133 | + | 25.4842i | −0.536896 | + | 0.929931i | 0.462173 | + | 0.886790i | ||
−0.999069 | + | 0.0431415i | ||||||||
6.66847 | + | 3.85004i | 0.243174 | + | 0.140397i | |||||
0 | 0 | |||||||||
−33.5311 | + | 11.3452i | −1.22113 | + | 0.413167i | |||||
−41.6150 | −1.51453 | |||||||||
0 | 0 | |||||||||
10.0541 | − | 17.4142i | 0.365423 | − | 0.632931i | −0.623421 | − | 0.781886i | ||
0.988844 | + | 0.148955i | ||||||||
0.896611 | + | 1.55298i | 0.0325664 | + | 0.0564067i | |||||
0 | 0 | |||||||||
−14.6743 | + | 8.47223i | −0.532294 | + | 0.307320i | |||||
−28.0939 | + | 16.2200i | −1.01840 | + | 0.587976i | −0.913642 | − | 0.406521i | ||
−0.104763 | + | 0.994497i | ||||||||
0 | 0 | |||||||||
−5.01589 | − | 8.68777i | −0.181587 | − | 0.314518i | |||||
4.45096 | − | 7.70929i | 0.161030 | − | 0.278912i | |||||
0 | 0 | |||||||||
16.6982 | 0.603332 | |||||||||
16.5944 | − | 5.61466i | 0.599188 | − | 0.202734i | |||||
0 | 0 | |||||||||
−37.1542 | − | 21.4510i | −1.33982 | − | 0.773543i | −0.353036 | − | 0.935610i | ||
−0.986780 | + | 0.162067i | ||||||||
4.48144 | − | 7.76207i | 0.161500 | − | 0.279726i | |||||
0 | 0 | |||||||||
8.88835i | 0.319899i | |||||||||
−12.8157 | + | 7.39912i | −0.460947 | + | 0.266128i | −0.712442 | − | 0.701731i | ||
0.251495 | + | 0.967858i | ||||||||
0 | 0 | |||||||||
1.42075i | 0.0510349i | |||||||||
−5.80816 | − | 10.0600i | −0.208501 | − | 0.361134i | |||||
0 | 0 | |||||||||
13.5350 | + | 7.81441i | 0.485252 | + | 0.280160i | |||||
−28.0427 | −1.00473 | |||||||||
0 | 0 | |||||||||
34.0660 | 1.21898 | |||||||||
12.2302 | + | 7.06112i | 0.437352 | + | 0.252505i | |||||
0 | 0 | |||||||||
0.500000 | + | 0.866025i | 0.0178571 | + | 0.0309295i | |||||
29.6887i | 1.05964i | |||||||||
0 | 0 | |||||||||
24.2123 | − | 13.9790i | 0.863076 | − | 0.498297i | −0.00196533 | − | 0.999998i | ||
0.865041 | + | 0.501701i | ||||||||
23.3926i | 0.833326i | |||||||||
0 | 0 | |||||||||
−3.78942 | + | 6.56347i | −0.134822 | + | 0.233518i | |||||
16.0693 | + | 9.27760i | 0.571358 | + | 0.329873i | |||||
0 | 0 | |||||||||
13.0218 | + | 38.4865i | 0.462418 | + | 1.36670i | |||||
−5.61394 | −0.199231 | |||||||||
0 | 0 | |||||||||
1.96804 | − | 3.40875i | 0.0697554 | − | 0.120820i | |||||
8.78182 | + | 15.2106i | 0.311068 | + | 0.538786i | 0.978594 | − | 0.205801i | ||
−0.667526 | + | 0.744587i | ||||||||
0 | 0 | |||||||||
38.0374 | − | 21.9609i | 1.34567 | − | 0.776921i | |||||
0.171007 | − | 0.0987308i | 0.00604600 | − | 0.00349066i | |||||
0 | 0 | |||||||||
12.6185 | + | 21.8559i | 0.445575 | + | 0.771759i | |||||
−15.0877 | + | 26.1327i | −0.532434 | + | 0.922203i | |||||
0 | 0 | |||||||||
5.42568 | 0.191230 | |||||||||
17.1242 | − | 19.4874i | 0.603176 | − | 0.686414i | |||||
0 | 0 | |||||||||
−1.95189 | − | 1.12692i | −0.0686672 | − | 0.0396450i | |||||
5.97749 | − | 10.3533i | 0.210157 | − | 0.364003i | −0.741606 | − | 0.670835i | ||
0.951764 | + | 0.306832i | ||||||||
0 | 0 | |||||||||
− | 5.88549i | − | 0.206667i | −0.994647 | − | 0.103334i | ||||
0.994647 | − | 0.103334i | ||||||||
8.50243 | − | 4.90888i | 0.298377 | − | 0.172268i | |||||
0 | 0 | |||||||||
− | 41.5317i | − | 1.45569i | |||||||
4.89020 | + | 8.47008i | 0.171296 | + | 0.296694i | |||||
0 | 0 | |||||||||
−18.4504 | − | 10.6523i | −0.645498 | − | 0.372678i | |||||
−28.9215 | −1.01122 | |||||||||
0 | 0 | |||||||||
−7.94809 | −0.277559 | |||||||||
26.2172 | + | 15.1365i | 0.914987 | + | 0.528268i | 0.882032 | − | 0.471189i | ||
0.0329546 | + | 0.999457i | ||||||||
0 | 0 | |||||||||
18.2981 | + | 31.6932i | 0.637831 | + | 1.10476i | 0.985908 | + | 0.167290i | ||
−0.348076 | + | 0.937466i | ||||||||
16.0325i | 0.558520i | |||||||||
0 | 0 | |||||||||
−4.20781 | + | 2.42938i | −0.146408 | + | 0.0845289i | |||||
− | 43.4520i | − | 1.51098i | −0.655163 | − | 0.755488i | ||||
0.655163 | − | 0.755488i | ||||||||
0 | 0 | |||||||||
−0.418633 | + | 0.725093i | −0.0145397 | + | 0.0251835i | −0.873204 | − | 0.487355i | ||
0.858664 | + | 0.512539i | ||||||||
−0.631578 | − | 0.364642i | −0.0219224 | − | 0.0126569i | |||||
0 | 0 | |||||||||
−3.53557 | − | 0.706919i | −0.122574 | − | 0.0245080i | |||||
5.70407 | 0.197634 | |||||||||
0 | 0 | |||||||||
3.62427 | − | 6.27742i | 0.125423 | − | 0.217239i | |||||
−15.8115 | − | 27.3864i | −0.546854 | − | 0.947178i | |||||
0 | 0 | |||||||||
27.7939 | − | 16.0468i | 0.960124 | − | 0.554328i | |||||
33.2964 | − | 19.2237i | 1.14952 | − | 0.663675i | 0.200749 | − | 0.979643i | ||
0.948770 | + | 0.315968i | ||||||||
0 | 0 | |||||||||
−33.6942 | − | 58.3601i | −1.16187 | − | 2.01242i | |||||
0.514814 | − | 0.891684i | 0.0177417 | − | 0.0307295i | |||||
0 | 0 | |||||||||
−12.8021 | −0.440666 | |||||||||
10.9545 | − | 26.2988i | 0.376848 | − | 0.904706i | |||||
0 | 0 | |||||||||
4.95991 | + | 2.86360i | 0.170424 | + | 0.0983946i | |||||
−3.15556 | + | 5.46559i | −0.108362 | + | 0.187689i | |||||
0 | 0 | |||||||||
− | 1.12634i | − | 0.0386330i | |||||||
21.7730 | − | 12.5706i | 0.746367 | − | 0.430915i | |||||
0 | 0 | |||||||||
32.9422i | 1.12792i | 0.825803 | + | 0.563959i | ||||||
−0.825803 | + | 0.563959i | ||||||||
−5.63434 | − | 9.75896i | −0.192803 | − | 0.333945i | |||||
0 | 0 | |||||||||
−7.46156 | − | 4.30793i | −0.255031 | − | 0.147242i | |||||
22.1242 | 0.755750 | 0.377875 | − | 0.925857i | ||||||
0.377875 | + | 0.925857i | ||||||||
0 | 0 | |||||||||
18.4476 | 0.629425 | 0.314712 | − | 0.949187i | ||||||
0.314712 | + | 0.949187i | ||||||||
−5.22936 | − | 3.01917i | −0.178320 | − | 0.102953i | |||||
0 | 0 | |||||||||
−17.6616 | − | 30.5908i | −0.601556 | − | 1.04193i | |||||
− | 45.1859i | − | 1.53814i | −0.639162 | − | 0.769072i | ||||
0.639162 | − | 0.769072i | ||||||||
0 | 0 | |||||||||
−19.2105 | + | 11.0912i | −0.653176 | + | 0.377112i | |||||
− | 20.0939i | − | 0.682817i | |||||||
0 | 0 | |||||||||
−3.59754 | + | 6.23112i | −0.122108 | + | 0.211498i | |||||
−12.2493 | − | 7.07212i | −0.415528 | − | 0.239905i | |||||
0 | 0 | |||||||||
−17.1725 | − | 15.0901i | −0.581869 | − | 0.511309i | |||||
−10.0318 | −0.339719 | |||||||||
0 | 0 | |||||||||
9.57153 | − | 16.5784i | 0.323762 | − | 0.560772i | |||||
−5.69504 | − | 9.86410i | −0.192527 | − | 0.333467i | |||||
0 | 0 | |||||||||
15.2612 | − | 8.81106i | 0.515334 | − | 0.297528i | −0.219689 | − | 0.975570i | ||
0.735024 | + | 0.678041i | ||||||||
−11.3093 | + | 6.52940i | −0.381669 | + | 0.220357i | |||||
0 | 0 | |||||||||
−4.48144 | − | 7.76207i | −0.151069 | − | 0.261659i | |||||
−1.23560 | + | 2.14012i | −0.0416283 | + | 0.0721023i | −0.886089 | − | 0.463515i | ||
0.844461 | + | 0.535618i | ||||||||
0 | 0 | |||||||||
−3.93880 | −0.132551 | −0.0662756 | − | 0.997801i | ||||||
−0.0662756 | + | 0.997801i | ||||||||
−13.5757 | + | 15.4491i | −0.456599 | + | 0.519610i | |||||
0 | 0 | |||||||||
6.46183 | + | 3.73074i | 0.217089 | + | 0.125337i | |||||
−3.57140 | + | 6.18584i | −0.119916 | + | 0.207700i | −0.919734 | − | 0.392542i | ||
0.799818 | + | 0.600242i | ||||||||
0 | 0 | |||||||||
0.264877i | 0.00888370i | |||||||||
25.6734 | − | 14.8225i | 0.860574 | − | 0.496853i | |||||
0 | 0 | |||||||||
18.8489i | 0.631107i | |||||||||
−29.7686 | − | 51.5607i | −0.996167 | − | 1.72541i | |||||
0 | 0 | |||||||||
17.5583 | + | 10.1373i | 0.586908 | + | 0.338852i | |||||
1.00000 | 0.0334077 | |||||||||
0 | 0 | |||||||||
−9.57011 | −0.319359 | |||||||||
61.1756 | + | 35.3198i | 2.04032 | + | 1.17798i | |||||
0 | 0 | |||||||||
17.9995 | + | 31.1761i | 0.599651 | + | 1.03863i | |||||
− | 14.8333i | − | 0.493896i | |||||||
0 | 0 | |||||||||
16.0693 | − | 9.27760i | 0.534456 | − | 0.308568i | |||||
− | 50.9834i | − | 1.69474i | |||||||
0 | 0 | |||||||||
3.67909 | − | 6.37237i | 0.122162 | − | 0.211591i | −0.798458 | − | 0.602051i | ||
0.920620 | + | 0.390459i | ||||||||
1.14246 | + | 0.659599i | 0.0379138 | + | 0.0218895i | |||||
0 | 0 | |||||||||
−1.54919 | + | 7.74810i | −0.0513552 | + | 0.256847i | |||||
23.9499 | 0.793497 | 0.396748 | − | 0.917927i | ||||||
0.396748 | + | 0.917927i | ||||||||
0 | 0 | |||||||||
0.680523 | − | 1.17870i | 0.0225220 | − | 0.0390093i | |||||
−12.9141 | − | 22.3679i | −0.427161 | − | 0.739864i | |||||
0 | 0 | |||||||||
−3.75949 | + | 2.17054i | −0.124217 | + | 0.0717168i | |||||
4.41878 | − | 2.55119i | 0.145921 | − | 0.0842476i | |||||
0 | 0 | |||||||||
18.9710 | + | 32.8588i | 0.625797 | + | 1.08391i | 0.988386 | + | 0.151963i | ||
−0.362589 | + | 0.931949i | ||||||||
2.71284 | − | 4.69878i | 0.0894397 | − | 0.154914i | |||||
0 | 0 | |||||||||
−1.56502 | −0.0515413 | |||||||||
−28.4476 | + | 9.62517i | −0.936364 | + | 0.316816i | |||||
0 | 0 | |||||||||
−1.73653 | − | 1.00258i | −0.0570966 | − | 0.0329648i | |||||
10.2432 | − | 17.7417i | 0.336611 | − | 0.583027i | |||||
0 | 0 | |||||||||
− | 9.81776i | − | 0.322284i | |||||||
−5.58551 | + | 3.22479i | −0.183254 | + | 0.105802i | −0.588821 | − | 0.808264i | ||
0.405566 | + | 0.914066i | ||||||||
0 | 0 | |||||||||
− | 7.73201i | − | 0.253406i | |||||||
2.88211 | + | 4.99196i | 0.0944067 | + | 0.163517i | |||||
0 | 0 | |||||||||
−3.29802 | − | 1.90411i | −0.107914 | − | 0.0623044i | |||||
−51.1249 | −1.67196 | |||||||||
0 | 0 | |||||||||
−29.8183 | −0.974120 | −0.487060 | − | 0.873368i | ||||||
−0.487060 | + | 0.873368i | ||||||||
5.49094 | + | 3.17020i | 0.179286 | + | 0.103511i | |||||
0 | 0 | |||||||||
−8.43725 | − | 14.6137i | −0.275193 | − | 0.476648i | |||||
21.5581i | 0.702774i | 0.936230 | + | 0.351387i | ||||||
−0.936230 | + | 0.351387i | ||||||||
0 | 0 | |||||||||
7.77636 | − | 4.48968i | 0.253233 | − | 0.146204i | |||||
4.85876i | 0.158139i | |||||||||
0 | 0 | |||||||||
5.63462 | − | 9.75944i | 0.183197 | − | 0.317307i | |||||
26.4885 | + | 15.2932i | 0.860762 | + | 0.496961i | 0.864267 | − | 0.503033i | ||
−0.00350556 | + | 0.999994i | ||||||||
0 | 0 | |||||||||
5.21568 | − | 26.0856i | 0.169308 | − | 0.846776i | |||||
−1.52678 | −0.0495351 | |||||||||
0 | 0 | |||||||||
2.85204 | − | 4.93987i | 0.0924350 | − | 0.160102i | |||||
2.64767 | + | 4.58590i | 0.0857664 | + | 0.148552i | 0.905718 | − | 0.423882i | ||
−0.819951 | + | 0.572434i | ||||||||
0 | 0 | |||||||||
−16.8947 | + | 9.75414i | −0.546699 | + | 0.315637i | |||||
−11.3407 | + | 6.54753i | −0.366783 | + | 0.211762i | |||||
0 | 0 | |||||||||
−12.0600 | − | 20.8886i | −0.389642 | − | 0.674880i | |||||
−10.9011 | + | 18.8812i | −0.352014 | + | 0.609706i | |||||
0 | 0 | |||||||||
−20.7691 | −0.669971 | |||||||||
11.7346 | + | 34.6820i | 0.378337 | + | 1.11819i | |||||
0 | 0 | |||||||||
−0.389769 | − | 0.225033i | −0.0125536 | − | 0.00724784i | |||||
9.73927 | − | 16.8689i | 0.313518 | − | 0.543030i | |||||
0 | 0 | |||||||||
46.8612i | 1.50695i | 0.657474 | + | 0.753477i | ||||||
−0.657474 | + | 0.753477i | ||||||||
4.95991 | − | 2.86360i | 0.159417 | − | 0.0920397i | |||||
0 | 0 | |||||||||
25.4568i | 0.817368i | |||||||||
−23.5583 | − | 40.8042i | −0.756023 | − | 1.30947i | −0.944864 | − | 0.327463i | ||
0.188841 | − | 0.982008i | ||||||||
0 | 0 | |||||||||
−14.2453 | − | 8.22455i | −0.456685 | − | 0.263667i | |||||
7.68364 | 0.246200 | |||||||||
0 | 0 | |||||||||
−11.2687 | −0.360701 | |||||||||
4.49153 | + | 2.59319i | 0.143697 | + | 0.0829635i | 0.570125 | − | 0.821558i | ||
−0.426428 | + | 0.904522i | ||||||||
0 | 0 | |||||||||
27.6630 | + | 47.9137i | 0.884113 | + | 1.53133i | |||||
− | 2.19147i | − | 0.0700039i | |||||||
0 | 0 | |||||||||
28.1921 | − | 16.2767i | 0.899645 | − | 0.519411i | |||||
12.1664i | 0.388046i | 0.980997 | + | 0.194023i | ||||||
−0.980997 | + | 0.194023i | ||||||||
0 | 0 | |||||||||
25.6321 | − | 44.3960i | 0.816706 | − | 1.41458i | |||||
−48.4985 | − | 28.0006i | −1.54451 | − | 0.891721i | |||||
0 | 0 | |||||||||
20.9417 | + | 18.4022i | 0.666243 | + | 0.585450i | |||||
6.82184 | 0.216922 | |||||||||
0 | 0 | |||||||||
22.1272 | − | 38.3254i | 0.702894 | − | 1.21745i | −0.264553 | − | 0.964371i | ||
0.967446 | − | 0.253076i | ||||||||
3.59754 | + | 6.23112i | 0.114222 | + | 0.197838i | |||||
0 | 0 | |||||||||
7.21341 | − | 4.16466i | 0.228795 | − | 0.132095i | |||||
−7.47016 | + | 4.31290i | −0.236820 | + | 0.136728i | |||||
0 | 0 | |||||||||
−18.4175 | − | 31.9001i | −0.583289 | − | 1.01029i | −0.995086 | − | 0.0990113i | ||
0.411797 | − | 0.911276i | ||||||||
2.93762 | − | 5.08811i | 0.0929888 | − | 0.161061i | |||||
0 | 0 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 1638.2.bj.h.1135.1 | yes | 16 | |
3.2 | odd | 2 | 1638.2.bj.i.1135.8 | yes | 16 | ||
13.10 | even | 6 | inner | 1638.2.bj.h.127.4 | ✓ | 16 | |
39.23 | odd | 6 | 1638.2.bj.i.127.5 | yes | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
1638.2.bj.h.127.4 | ✓ | 16 | 13.10 | even | 6 | inner | |
1638.2.bj.h.1135.1 | yes | 16 | 1.1 | even | 1 | trivial | |
1638.2.bj.i.127.5 | yes | 16 | 39.23 | odd | 6 | ||
1638.2.bj.i.1135.8 | yes | 16 | 3.2 | odd | 2 |