m=3: 14 classes (mu != 0, depends on all, not parity)
mu=-0.750 l1=[-0.25 -0.25 -0.25] J=[0, 1, 2] classes=[0, 0, 0] | L0 works (s^L nontrivial at infinity) | g^-1(+1)=[(-1, -1, -1)]
mu=-0.750 l1=[-0.25 -0.25  0.25] J=[0, 1, 2] classes=[0, 0, 1] | L0 works (s^L nontrivial at infinity) | g^-1(+1)=[(-1, -1, 1)]
mu=-0.500 l1=[-0.5  0.   0. ] J=[0] classes=[0] | TRIVIAL(s^U trivial) | g^-1(+1)=[(-1, 1, -1), (-1, -1, 1)]
mu=-0.250 l1=[-0.75 -0.25 -0.25] J=[0, 1, 2] classes=[0, 1, 1] | L0 works (s^L nontrivial at infinity) | g^-1(+1)=[(-1, 1, -1), (-1, -1, 1), (-1, -1, -1)]
mu=-0.500 l1=[-0.5  0.   0. ] J=[0] classes=[0] | TRIVIAL(s^U trivial) | g^-1(+1)=[(-1, 1, 1), (-1, -1, -1)]
mu=-0.250 l1=[-0.75 -0.25  0.25] J=[0, 1, 2] classes=[0, 1, 2] | L0 works (s^L nontrivial at infinity) | g^-1(+1)=[(-1, 1, 1), (-1, -1, 1), (-1, -1, -1)]
mu=-0.250 l1=[-0.75  0.25  0.25] J=[0, 1, 2] classes=[0, 1, 1] | L0 works (s^L nontrivial at infinity) | g^-1(+1)=[(-1, 1, 1), (-1, 1, -1), (-1, -1, 1)]
mu=-0.250 l1=[-0.25 -0.25 -0.25] J=[0, 1, 2] classes=[0, 0, 0] | labels k=1 work (val 1.0000) | g^-1(+1)=[(1, -1, -1), (-1, 1, -1), (-1, -1, 1)]
mu=-0.500 l1=[0. 0. 0.] J=[] classes=[] | TRIVIAL(s^U trivial) | g^-1(+1)=[(1, -1, -1), (-1, 1, 1)]
mu=-0.250 l1=[-0.25 -0.25 -0.25] J=[0, 1, 2] classes=[0, 0, 0] | L0 works (s^L nontrivial at infinity) | g^-1(+1)=[(1, -1, -1), (-1, 1, 1), (-1, -1, -1)]
mu=-0.250 l1=[-0.25 -0.25  0.25] J=[0, 1, 2] classes=[0, 0, 1] | L0 works (s^L nontrivial at infinity) | g^-1(+1)=[(1, -1, -1), (-1, 1, 1), (-1, -1, 1)]
mu=-0.250 l1=[-0.25 -0.25  0.25] J=[0, 1, 2] classes=[0, 0, 1] | L0 works (s^L nontrivial at infinity) | g^-1(+1)=[(1, -1, 1), (-1, 1, 1), (-1, -1, -1)]
mu=+0.250 l1=[-0.25 -0.25  0.25] J=[0, 1, 2] classes=[0, 0, 1] | L0 works (s^L nontrivial at infinity) | g^-1(+1)=[(1, -1, 1), (1, -1, -1), (-1, 1, 1), (-1, 1, -1), (-1, -1, 1)]
mu=+0.500 l1=[0. 0. 0.] J=[] classes=[] | TRIVIAL(s^U trivial) | g^-1(+1)=[(1, 1, -1), (1, -1, 1), (1, -1, -1), (-1, 1, 1), (-1, 1, -1), (-1, -1, 1)]
hard cases: 0
