total num of chars: 6
total num of families: 3

chars where some sequence of nonzero coeffs is not unimodal in abs value:
    none
chars where some polynomial has both positive and negative coeffs:
    none
chars where some polynomial has strictly negative coeffs:
    phi{2,1} = G2(a1)            in family phi{2,1} = G2(a1)           
    phi{2,2} = ~A1               in family phi{2,1} = G2(a1)           

| 0 rationally smooth elements where some sequence of nonzero coeffs is not unimodal in abs value.
| 0 rationally smooth elements where some polynomial has both positive and negative coeffs.
| 7 rationally smooth elements where some polynomial has strictly negative coeffs.
    phi{2,1} = G2(a1)            in family phi{2,1} = G2(a1)           
      #4 [ 2, 1 ]
      #5 [ 1, 2 ]
      #6 [ 2, 1, 2 ]
      #7 [ 1, 2, 1 ]
      #8 [ 2, 1, 2, 1 ]
      #9 [ 1, 2, 1, 2 ]
    phi{2,2} = ~A1               in family phi{2,1} = G2(a1)           
      #11 [ 1, 2, 1, 2, 1 ]