total num of chars: 10
total num of families: 6

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:
    1.11 = 31111                 in family 1.11 = 31111                

| 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.
| 1 rationally smooth elements where some polynomial has strictly negative coeffs.
    1.11 = 31111                 in family 1.11 = 31111                
      #14 [ 1, 2, 1 ]