Cases with m==4
Case {m,n,p,q}={4,0,0,4}
Case {m,n,p,q}={4,0,1,5}
Case {m,n,p,q}={4,0,2,4}
Case {m,n,p,q}={4,0,3,5}
Case {m,n,p,q}={4,1,2,4}
Case {m,n,p,q}={4,1,4,4}
Case {m,n,p,q}={4,2,3,5}