Special: 5 6 11 27 and d=60, 2*d-s=71 gives h11=5, p_g=2 and dimension 5.
Here are the monomials for f: 
[0, 0, 3, 1]
[0, 1, 0, 2]
[0, 10, 0, 0]
[1, 0, 5, 0]
[1, 1, 2, 1]
[2, 1, 4, 0]
[2, 2, 1, 1]
[3, 2, 3, 0]
[3, 3, 0, 1]
[4, 3, 2, 0]
[5, 4, 1, 0]
[6, 5, 0, 0]
[12, 0, 0, 0]
Here are the monomials for p_g: 
[0, 0, 1, 0]
[1, 1, 0, 0]
Here are the monomials that may occur for h11: 
[0, 0, 4, 1]
[0, 1, 1, 2]
[0, 10, 1, 0]
[1, 0, 6, 0]
[1, 1, 3, 1]
[1, 2, 0, 2]
[1, 11, 0, 0]
[2, 1, 5, 0]
[2, 2, 2, 1]
[3, 2, 4, 0]
[3, 3, 1, 1]
[4, 3, 3, 0]
[4, 4, 0, 1]
[5, 4, 2, 0]
[6, 5, 1, 0]
[7, 6, 0, 0]
[12, 0, 1, 0]
[13, 1, 0, 0]
Special: 5 8 18 31 and d=80, 2*d-s=98 gives h11=5, p_g=2 and dimension 5.
Here are the monomials for f: 
[0, 0, 1, 2]
[0, 1, 4, 0]
[0, 10, 0, 0]
[1, 1, 2, 1]
[2, 1, 0, 2]
[2, 2, 3, 0]
[3, 2, 1, 1]
[4, 3, 2, 0]
[5, 3, 0, 1]
[6, 4, 1, 0]
[8, 5, 0, 0]
[16, 0, 0, 0]
Here are the monomials for p_g: 
[0, 0, 1, 0]
[2, 1, 0, 0]
Here are the monomials that may occur for h11: 
[0, 0, 2, 2]
[0, 1, 5, 0]
[0, 10, 1, 0]
[1, 0, 0, 3]
[1, 1, 3, 1]
[2, 1, 1, 2]
[2, 2, 4, 0]
[2, 11, 0, 0]
[3, 2, 2, 1]
[4, 2, 0, 2]
[4, 3, 3, 0]
[5, 3, 1, 1]
[6, 4, 2, 0]
[7, 4, 0, 1]
[8, 5, 1, 0]
[10, 6, 0, 0]
[16, 0, 1, 0]
[18, 1, 0, 0]
Special: 5 8 18 41 and d=90, 2*d-s=108 gives h11=5, p_g=2 and dimension 5.
Here are the monomials for f: 
[0, 0, 5, 0]
[0, 1, 0, 2]
[0, 9, 1, 0]
[1, 1, 2, 1]
[2, 1, 4, 0]
[2, 10, 0, 0]
[3, 2, 1, 1]
[4, 2, 3, 0]
[5, 3, 0, 1]
[6, 3, 2, 0]
[8, 4, 1, 0]
[10, 5, 0, 0]
[18, 0, 0, 0]
Here are the monomials for p_g: 
[0, 0, 1, 0]
[2, 1, 0, 0]
Here are the monomials that may occur for h11: 
[0, 0, 6, 0]
[0, 1, 1, 2]
[0, 9, 2, 0]
[1, 1, 3, 1]
[2, 1, 5, 0]
[2, 2, 0, 2]
[2, 10, 1, 0]
[3, 2, 2, 1]
[4, 2, 4, 0]
[4, 11, 0, 0]
[5, 3, 1, 1]
[6, 3, 3, 0]
[7, 4, 0, 1]
[8, 4, 2, 0]
[10, 5, 1, 0]
[12, 6, 0, 0]
[18, 0, 1, 0]
[20, 1, 0, 0]
Special: 5 9 19 43 and d=95, 2*d-s=114 gives h11=4, p_g=2 and dimension 4.
Here are the monomials for f: 
[0, 0, 5, 0]
[0, 1, 0, 2]
[1, 1, 2, 1]
[1, 10, 0, 0]
[2, 1, 4, 0]
[3, 2, 1, 1]
[4, 2, 3, 0]
[5, 3, 0, 1]
[6, 3, 2, 0]
[8, 4, 1, 0]
[10, 5, 0, 0]
[19, 0, 0, 0]
Here are the monomials for p_g: 
[0, 0, 1, 0]
[2, 1, 0, 0]
Here are the monomials that may occur for h11: 
[0, 0, 6, 0]
[0, 1, 1, 2]
[1, 1, 3, 1]
[1, 10, 1, 0]
[2, 1, 5, 0]
[2, 2, 0, 2]
[3, 2, 2, 1]
[3, 11, 0, 0]
[4, 2, 4, 0]
[5, 3, 1, 1]
[6, 3, 3, 0]
[7, 4, 0, 1]
[8, 4, 2, 0]
[10, 5, 1, 0]
[12, 6, 0, 0]
[19, 0, 1, 0]
[21, 1, 0, 0]
Special: 5 11 12 16 and d=60, 2*d-s=76 gives h11=5, p_g=2 and dimension 5.
Here are the monomials for f: 
[0, 0, 1, 3]
[0, 0, 5, 0]
[0, 4, 0, 1]
[1, 1, 1, 2]
[1, 5, 0, 0]
[2, 2, 1, 1]
[3, 3, 1, 0]
[4, 0, 2, 1]
[5, 1, 2, 0]
[12, 0, 0, 0]
Here are the monomials for p_g: 
[0, 0, 0, 1]
[1, 1, 0, 0]
Here are the monomials that may occur for h11: 
[0, 0, 1, 4]
[0, 0, 5, 1]
[0, 4, 0, 2]
[1, 1, 1, 3]
[1, 1, 5, 0]
[1, 5, 0, 1]
[2, 2, 1, 2]
[2, 6, 0, 0]
[3, 3, 1, 1]
[4, 0, 2, 2]
[4, 4, 1, 0]
[5, 1, 2, 1]
[6, 2, 2, 0]
[8, 0, 3, 0]
[12, 0, 0, 1]
[13, 1, 0, 0]
Special: 5 13 14 19 and d=70, 2*d-s=89 gives h11=4, p_g=2 and dimension 4.
Here are the monomials for f: 
[0, 0, 5, 0]
[0, 1, 0, 3]
[1, 1, 1, 2]
[1, 5, 0, 0]
[2, 1, 2, 1]
[3, 1, 3, 0]
[5, 2, 0, 1]
[6, 2, 1, 0]
[14, 0, 0, 0]
Here are the monomials for p_g: 
[0, 0, 0, 1]
[1, 0, 1, 0]
Here are the monomials that may occur for h11: 
[0, 0, 5, 1]
[0, 1, 0, 4]
[1, 0, 6, 0]
[1, 1, 1, 3]
[1, 5, 0, 1]
[2, 1, 2, 2]
[2, 5, 1, 0]
[3, 1, 3, 1]
[4, 1, 4, 0]
[5, 2, 0, 2]
[6, 2, 1, 1]
[7, 2, 2, 0]
[10, 3, 0, 0]
[14, 0, 0, 1]
[15, 0, 1, 0]
Special: 6 7 13 16 and d=55, 2*d-s=68 gives h11=5, p_g=2 and dimension 4.
Here are the monomials for f: 
[0, 0, 3, 1]
[0, 1, 0, 3]
[0, 6, 1, 0]
[1, 1, 2, 1]
[1, 7, 0, 0]
[2, 2, 1, 1]
[3, 3, 0, 1]
[7, 0, 1, 0]
[8, 1, 0, 0]
Here are the monomials for p_g: 
[0, 0, 1, 0]
[1, 1, 0, 0]
Here are the monomials that may occur for h11: 
[0, 0, 4, 1]
[0, 1, 1, 3]
[0, 6, 2, 0]
[1, 1, 3, 1]
[1, 2, 0, 3]
[1, 7, 1, 0]
[2, 2, 2, 1]
[2, 8, 0, 0]
[3, 3, 1, 1]
[4, 4, 0, 1]
[6, 0, 0, 2]
[7, 0, 2, 0]
[8, 1, 1, 0]
[9, 2, 0, 0]
Special: 6 7 13 39 and d=84, 2*d-s=103 gives h11=5, p_g=2 and dimension 5.
Here are the monomials for f: 
[0, 12, 0, 0]
[1, 0, 0, 2]
[1, 0, 3, 1]
[1, 0, 6, 0]
[2, 1, 2, 1]
[2, 1, 5, 0]
[3, 2, 1, 1]
[3, 2, 4, 0]
[4, 3, 0, 1]
[4, 3, 3, 0]
[5, 4, 2, 0]
[6, 5, 1, 0]
[7, 6, 0, 0]
[14, 0, 0, 0]
Here are the monomials for p_g: 
[1, 0, 1, 0]
[2, 1, 0, 0]
Here are the monomials that may occur for h11: 
[0, 11, 2, 0]
[1, 12, 1, 0]
[2, 0, 1, 2]
[2, 0, 4, 1]
[2, 0, 7, 0]
[2, 13, 0, 0]
[3, 1, 0, 2]
[3, 1, 3, 1]
[3, 1, 6, 0]
[4, 2, 2, 1]
[4, 2, 5, 0]
[5, 3, 1, 1]
[5, 3, 4, 0]
[6, 4, 0, 1]
[6, 4, 3, 0]
[7, 5, 2, 0]
[8, 6, 1, 0]
[9, 7, 0, 0]
[15, 0, 1, 0]
[16, 1, 0, 0]
Special: 6 11 15 17 and d=66, 2*d-s=83 gives h11=4, p_g=2 and dimension 3.
Here are the monomials for f: 
[0, 0, 1, 3]
[0, 6, 0, 0]
[1, 0, 4, 0]
[1, 1, 1, 2]
[2, 2, 1, 1]
[3, 3, 1, 0]
[6, 0, 2, 0]
[11, 0, 0, 0]
Here are the monomials for p_g: 
[0, 0, 0, 1]
[1, 1, 0, 0]
Here are the monomials that may occur for h11: 
[0, 0, 1, 4]
[0, 6, 0, 1]
[1, 0, 4, 1]
[1, 1, 1, 3]
[1, 7, 0, 0]
[2, 1, 4, 0]
[2, 2, 1, 2]
[3, 3, 1, 1]
[4, 4, 1, 0]
[6, 0, 2, 1]
[7, 1, 2, 0]
[11, 0, 0, 1]
[12, 1, 0, 0]
Special: 7 8 15 19 and d=64, 2*d-s=79 gives h11=3, p_g=2 and dimension 3.
Here are the monomials for f: 
[0, 0, 3, 1]
[0, 8, 0, 0]
[1, 0, 0, 3]
[1, 1, 2, 1]
[2, 2, 1, 1]
[3, 3, 0, 1]
[7, 0, 1, 0]
[8, 1, 0, 0]
Here are the monomials for p_g: 
[0, 0, 1, 0]
[1, 1, 0, 0]
Here are the monomials that may occur for h11: 
[0, 0, 4, 1]
[0, 8, 1, 0]
[1, 0, 1, 3]
[1, 1, 3, 1]
[1, 9, 0, 0]
[2, 1, 0, 3]
[2, 2, 2, 1]
[3, 3, 1, 1]
[4, 4, 0, 1]
[7, 0, 2, 0]
[8, 1, 1, 0]
[9, 2, 0, 0]
Special: 7 9 16 24 and d=72, 2*d-s=88 gives h11=3, p_g=2 and dimension 3.
Here are the monomials for f: 
[0, 0, 0, 3]
[0, 0, 3, 1]
[0, 8, 0, 0]
[1, 1, 2, 1]
[2, 2, 1, 1]
[3, 3, 0, 1]
[8, 0, 1, 0]
[9, 1, 0, 0]
Here are the monomials for p_g: 
[0, 0, 1, 0]
[1, 1, 0, 0]
Here are the monomials that may occur for h11: 
[0, 0, 1, 3]
[0, 0, 4, 1]
[0, 8, 1, 0]
[1, 1, 0, 3]
[1, 1, 3, 1]
[1, 9, 0, 0]
[2, 2, 2, 1]
[3, 3, 1, 1]
[4, 4, 0, 1]
[8, 0, 2, 0]
[9, 1, 1, 0]
[10, 2, 0, 0]
Special: 7 12 17 20 and d=80, 2*d-s=104 gives h11=5, p_g=2 and dimension 4.
Here are the monomials for f: 
[0, 0, 0, 4]
[0, 1, 4, 0]
[0, 5, 0, 1]
[1, 3, 1, 1]
[2, 1, 2, 1]
[4, 1, 0, 2]
[8, 2, 0, 0]
[9, 0, 1, 0]
Here are the monomials for p_g: 
[0, 2, 0, 0]
[1, 0, 1, 0]
Here are the monomials that may occur for h11: 
[0, 2, 0, 4]
[0, 3, 4, 0]
[0, 7, 0, 1]
[1, 0, 1, 4]
[1, 1, 5, 0]
[1, 5, 1, 1]
[2, 3, 2, 1]
[3, 1, 3, 1]
[4, 3, 0, 2]
[5, 1, 1, 2]
[8, 4, 0, 0]
[9, 2, 1, 0]
[10, 0, 2, 0]
[12, 0, 0, 1]
Special: 7 13 17 27 and d=98, 2*d-s=132 gives h11=5, p_g=3 and dimension 4.
Here are the monomials for f: 
[0, 0, 1, 3]
[0, 1, 5, 0]
[1, 1, 3, 1]
[1, 7, 0, 0]
[2, 1, 1, 2]
[3, 2, 3, 0]
[4, 2, 1, 1]
[6, 3, 1, 0]
[14, 0, 0, 0]
Here are the monomials for p_g: 
[0, 0, 2, 0]
[1, 0, 0, 1]
[3, 1, 0, 0]
Here are the monomials that may occur for h11: 
[0, 0, 3, 3]
[0, 1, 7, 0]
[0, 6, 0, 2]
[1, 0, 1, 4]
[1, 1, 5, 1]
[1, 7, 2, 0]
[2, 1, 3, 2]
[2, 7, 0, 1]
[3, 1, 1, 3]
[3, 2, 5, 0]
[4, 2, 3, 1]
[4, 8, 0, 0]
[5, 2, 1, 2]
[6, 3, 3, 0]
[7, 3, 1, 1]
[9, 4, 1, 0]
[14, 0, 2, 0]
[15, 0, 0, 1]
[17, 1, 0, 0]
Special: 7 15 17 23 and d=92, 2*d-s=122 gives h11=5, p_g=2 and dimension 4.
Here are the monomials for f: 
[0, 0, 0, 4]
[0, 5, 1, 0]
[1, 0, 5, 0]
[1, 3, 1, 1]
[2, 1, 1, 2]
[4, 2, 2, 0]
[5, 0, 2, 1]
[11, 1, 0, 0]
Here are the monomials for p_g: 
[0, 2, 0, 0]
[1, 0, 0, 1]
Here are the monomials that may occur for h11: 
[0, 2, 0, 4]
[0, 7, 1, 0]
[1, 0, 0, 5]
[1, 2, 5, 0]
[1, 5, 1, 1]
[2, 0, 5, 1]
[2, 3, 1, 2]
[3, 1, 1, 3]
[4, 4, 2, 0]
[5, 2, 2, 1]
[6, 0, 2, 2]
[8, 1, 3, 0]
[11, 3, 0, 0]
[12, 1, 0, 1]
[15, 0, 1, 0]
Special: 7 16 20 25 and d=100, 2*d-s=132 gives h11=5, p_g=2 and dimension 4.
Here are the monomials for f: 
[0, 0, 0, 4]
[0, 0, 5, 0]
[0, 5, 1, 0]
[1, 3, 1, 1]
[2, 1, 1, 2]
[4, 2, 2, 0]
[5, 0, 2, 1]
[12, 1, 0, 0]
Here are the monomials for p_g: 
[0, 2, 0, 0]
[1, 0, 0, 1]
Here are the monomials that may occur for h11: 
[0, 2, 0, 4]
[0, 2, 5, 0]
[0, 7, 1, 0]
[1, 0, 0, 5]
[1, 0, 5, 1]
[1, 5, 1, 1]
[2, 3, 1, 2]
[3, 1, 1, 3]
[4, 4, 2, 0]
[5, 2, 2, 1]
[6, 0, 2, 2]
[8, 1, 3, 0]
[12, 3, 0, 0]
[13, 1, 0, 1]
[16, 0, 1, 0]
Special: 8 9 10 35 and d=80, 2*d-s=98 gives h11=5, p_g=2 and dimension 5.
Here are the monomials for f: 
[0, 0, 1, 2]
[0, 0, 8, 0]
[0, 5, 0, 1]
[1, 3, 1, 1]
[1, 8, 0, 0]
[2, 1, 2, 1]
[2, 6, 1, 0]
[3, 4, 2, 0]
[4, 2, 3, 0]
[5, 0, 4, 0]
[10, 0, 0, 0]
Here are the monomials for p_g: 
[0, 2, 0, 0]
[1, 0, 1, 0]
Here are the monomials that may occur for h11: 
[0, 2, 1, 2]
[0, 2, 8, 0]
[0, 7, 0, 1]
[1, 0, 2, 2]
[1, 0, 9, 0]
[1, 5, 1, 1]
[1, 10, 0, 0]
[2, 3, 2, 1]
[2, 8, 1, 0]
[3, 1, 3, 1]
[3, 6, 2, 0]
[4, 4, 3, 0]
[5, 2, 4, 0]
[6, 0, 5, 0]
[10, 2, 0, 0]
[11, 0, 1, 0]
Special: 8 9 17 21 and d=72, 2*d-s=89 gives h11=2, p_g=2 and dimension 2.
Here are the monomials for f: 
[0, 0, 3, 1]
[0, 1, 0, 3]
[0, 8, 0, 0]
[1, 1, 2, 1]
[2, 2, 1, 1]
[3, 3, 0, 1]
[9, 0, 0, 0]
Here are the monomials for p_g: 
[0, 0, 1, 0]
[1, 1, 0, 0]
Here are the monomials that may occur for h11: 
[0, 0, 4, 1]
[0, 1, 1, 3]
[0, 8, 1, 0]
[1, 1, 3, 1]
[1, 2, 0, 3]
[1, 9, 0, 0]
[2, 2, 2, 1]
[3, 3, 1, 1]
[4, 4, 0, 1]
[9, 0, 1, 0]
[10, 1, 0, 0]
Special: 8 11 13 43 and d=99, 2*d-s=123 gives h11=4, p_g=2 and dimension 4.
Here are the monomials for f: 
[0, 0, 1, 2]
[0, 9, 0, 0]
[1, 0, 7, 0]
[1, 2, 2, 1]
[2, 4, 3, 0]
[4, 1, 1, 1]
[5, 3, 2, 0]
[7, 0, 0, 1]
[8, 2, 1, 0]
[11, 1, 0, 0]
Here are the monomials for p_g: 
[0, 1, 1, 0]
[3, 0, 0, 0]
Here are the monomials that may occur for h11: 
[0, 1, 2, 2]
[0, 10, 1, 0]
[1, 1, 8, 0]
[1, 3, 3, 1]
[2, 5, 4, 0]
[3, 0, 1, 2]
[3, 9, 0, 0]
[4, 0, 7, 0]
[4, 2, 2, 1]
[5, 4, 3, 0]
[7, 1, 1, 1]
[8, 3, 2, 0]
[10, 0, 0, 1]
[11, 2, 1, 0]
[14, 1, 0, 0]
Special: 8 12 19 21 and d=84, 2*d-s=108 gives h11=5, p_g=2 and dimension 4.
Here are the monomials for f: 
[0, 0, 0, 4]
[0, 7, 0, 0]
[1, 0, 4, 0]
[1, 3, 1, 1]
[3, 5, 0, 0]
[4, 1, 1, 1]
[6, 3, 0, 0]
[9, 1, 0, 0]
Here are the monomials for p_g: 
[0, 2, 0, 0]
[3, 0, 0, 0]
Here are the monomials that may occur for h11: 
[0, 2, 0, 4]
[0, 9, 0, 0]
[1, 2, 4, 0]
[1, 5, 1, 1]
[2, 1, 2, 2]
[3, 0, 0, 4]
[3, 7, 0, 0]
[4, 0, 4, 0]
[4, 3, 1, 1]
[6, 5, 0, 0]
[7, 1, 1, 1]
[9, 3, 0, 0]
[12, 1, 0, 0]
Special: 9 11 13 21 and d=76, 2*d-s=98 gives h11=4, p_g=2 and dimension 3.
Here are the monomials for f: 
[0, 0, 1, 3]
[0, 1, 5, 0]
[0, 5, 0, 1]
[1, 3, 1, 1]
[2, 1, 2, 1]
[6, 2, 0, 0]
[7, 0, 1, 0]
Here are the monomials for p_g: 
[0, 2, 0, 0]
[1, 0, 1, 0]
Here are the monomials that may occur for h11: 
[0, 2, 1, 3]
[0, 3, 5, 0]
[0, 7, 0, 1]
[1, 0, 2, 3]
[1, 1, 6, 0]
[1, 5, 1, 1]
[2, 3, 2, 1]
[3, 1, 3, 1]
[5, 1, 0, 2]
[6, 4, 0, 0]
[7, 2, 1, 0]
[8, 0, 2, 0]
Special: 9 13 16 17 and d=81, 2*d-s=107 gives h11=4, p_g=2 and dimension 3.
Here are the monomials for f: 
[0, 0, 4, 1]
[0, 1, 0, 4]
[0, 5, 1, 0]
[1, 3, 1, 1]
[2, 1, 1, 2]
[4, 1, 2, 0]
[9, 0, 0, 0]
Here are the monomials for p_g: 
[0, 2, 0, 0]
[1, 0, 0, 1]
Here are the monomials that may occur for h11: 
[0, 2, 4, 1]
[0, 3, 0, 4]
[0, 7, 1, 0]
[1, 0, 4, 2]
[1, 1, 0, 5]
[1, 5, 1, 1]
[2, 3, 1, 2]
[3, 0, 5, 0]
[3, 1, 1, 3]
[4, 3, 2, 0]
[5, 1, 2, 1]
[9, 2, 0, 0]
[10, 0, 0, 1]
Special: 11 12 13 30 and d=90, 2*d-s=114 gives h11=3, p_g=2 and dimension 3.
Here are the monomials for f: 
[0, 0, 0, 3]
[0, 1, 6, 0]
[0, 5, 0, 1]
[1, 3, 1, 1]
[2, 1, 2, 1]
[6, 2, 0, 0]
[7, 0, 1, 0]
Here are the monomials for p_g: 
[0, 2, 0, 0]
[1, 0, 1, 0]
Here are the monomials that may occur for h11: 
[0, 2, 0, 3]
[0, 3, 6, 0]
[0, 7, 0, 1]
[1, 0, 1, 3]
[1, 1, 7, 0]
[1, 5, 1, 1]
[2, 3, 2, 1]
[3, 1, 3, 1]
[6, 4, 0, 0]
[7, 2, 1, 0]
[8, 0, 2, 0]
Special: 11 13 15 25 and d=90, 2*d-s=116 gives h11=3, p_g=2 and dimension 2.
Here are the monomials for f: 
[0, 0, 1, 3]
[0, 0, 6, 0]
[0, 5, 0, 1]
[1, 3, 1, 1]
[2, 1, 2, 1]
[7, 1, 0, 0]
Here are the monomials for p_g: 
[0, 2, 0, 0]
[1, 0, 1, 0]
Here are the monomials that may occur for h11: 
[0, 2, 1, 3]
[0, 2, 6, 0]
[0, 7, 0, 1]
[1, 0, 2, 3]
[1, 0, 7, 0]
[1, 5, 1, 1]
[2, 3, 2, 1]
[3, 1, 3, 1]
[6, 0, 0, 2]
[7, 3, 0, 0]
[8, 1, 1, 0]
All done with total=23.
