# Viable graphs with <=12 edges for the apex/symmetric determinant
# version of the Kontsevich conjecture. gr[n,k] is the list of connected
# graphs with n vertices, k edges, no vertex of degree < 2, and no pair
# of vertices such that N(u) contains N(v).

gr[4,4]:=[{{2,3},{1,2},{1,4},{3,4}}]:

gr[5,5]:=[{{2,3},{1,2},{3,4},{1,5},{4,5}}]:

gr[5,6]:=[{{1,3},{2,3},{1,4},{2,4},{1,5},{2,5}}]:

gr[6,6]:=[{{2,3},{1,2},{3,4},{1,6},{4,5},{5,6}}]:

gr[6,7]:=[{{1,2},{2,6},{3,6},{1,5},{3,5},{4,5},{4,6}},
{{1,2},{3,4},{2,6},{1,5},{3,5},{4,6},{5,6}}]:

gr[7,7]:=[{{2,3},{1,2},{3,4},{4,5},{6,7},{1,7},{5,6}}]:

gr[6,8]:=[{{1,3},{2,3},{1,4},{2,4},{1,6},{2,6},{3,5},{4,5}},
{{2,3},{1,4},{2,4},{3,4},{1,6},{2,6},{1,5},{3,5}},{{1,3},{2,3},
{1,4},{2,4},{1,6},{2,6},{1,5},{2,5}}]:

gr[7,8]:=[{{1,3},{1,2},{2,6},{4,5},{5,7},{6,7},{4,6},{3,7}},{
{1,2},{3,4},{1,6},{3,6},{5,7},{2,7},{5,6},{4,7}},{{1,3},{1,2
},{2,6},{5,7},{4,6},{5,6},{3,7},{4,7}},{{1,3},{1,4},{2,6},{2
,5},{5,7},{6,7},{3,7},{4,7}}]:

gr[8,8]:=[{{2,3},{1,2},{3,4},{4,5},{7,8},{6,7},{5,6},{1,8}}]:

gr[6,9]:=[{{2,3},{1,4},{3,4},{1,6},{2,6},{3,6},{1,5},{2,5},{4,5}},
{{1,4},{2,4},{3,4},{1,6},{2,6},{3,6},{1,5},{2,5},{3,5}}]:

gr[7,9]:=[{{1,4},{2,4},{2,6},{1,5}
,{3,5},{6,7},{5,6},{3,7},{4,7}},{{1,4},{2,4},{2,6},{3,6},{1
,5},{3,5},{5,7},{6,7},{4,7}},{{1,2},{1,4},{3,4},{3,6},{2,5}
,{5,7},{6,7},{5,6},{4,7}},{{1,2},{1,4},{3,6},{2,5},{5,7},{4
,6},{5,6},{3,7},{4,7}},{{1,4},{2,4},{3,4},{2,6},{1,5},{5,7}
,{6,7},{5,6},{3,7}},{{1,3},{2,4},{2,6},{1,5},{5,7},{6,7},{5
,6},{3,7},{4,7}},{{3,6},{1,5},{2,5},{2,7},{1,7},{4,6},{5,6}
,{3,7},{4,7}},{{1,2},{1,6},{3,6},{5,7},{2,7},{4,6},{5,6},{3
,7},{4,7}},{{1,2},{1,6},{3,5},{4,5},{6,7},{2,7},{5,6},{3,7}
,{4,7}}]:

gr[8,9]:=[{{1,3},{1,4},{2,6},{2,5},{4,8},{7,8},{6,8},{5
,7},{3,7}},{{1,3},{1,2},{2,4},{4,8},{7,8},{6,8},{5,7},{5,6}
,{3,7}},{{1,3},{1,2},{2,4},{4,8},{5,8},{6,8},{5,7},{6,7},{3
,7}},{{1,3},{1,4},{2,6},{2,5},{5,8},{7,8},{6,8},{3,7},{4,7}}
,{{1,3},{1,2},{3,8},{5,8},{4,5},{6,8},{6,7},{2,7},{4,7}},{{1
,2},{3,5},{5,8},{6,8},{1,7},{4,6},{2,8},{3,7},{4,7}},{{1,2}
,{1,4},{3,6},{2,5},{4,8},{5,8},{7,8},{6,8},{3,7}}]:

gr[9,9]:=[{{2,3},{1,2},{3,4},{4,5},{1,9},{8,9},{7,8},{6,7},{5,6}}]:

gr[7,10]:=[{{1,3},{1,2},{2,4},{3,4},{3,6},{2,5},{5,7}
,{6,7},{5,6},{4,7}},{{1,3},{1,2},{2,4},{3,6},{2,5},{4,5},{5
,7},{6,7},{4,6},{3,7}},{{1,3},{1,2},{2,4},{3,6},{2,5},{5,7}
,{4,6},{5,6},{3,7},{4,7}},{{1,3},{2,4},{3,4},{3,5},{5,7},{6
,7},{2,7},{1,7},{4,6},{5,6}},{{1,3},{2,4},{3,6},{3,5},{4,5}
,{5,7},{6,7},{2,7},{1,7},{4,6}},{{2,3},{1,4},{3,4},{3,6},{1
,5},{5,7},{6,7},{2,7},{5,6},{4,7}},{{1,4},{2,6},{3,6},{1,5}
,{5,7},{2,7},{4,6},{5,6},{3,7},{4,7}},{{1,4},{1,6},{2,6},{3
,6},{4,5},{5,7},{2,7},{5,6},{3,7},{4,7}},{{2,3},{1,4},{2,6}
,{1,5},{5,7},{6,7},{4,6},{5,6},{3,7},{4,7}},{{1,3},{1,4},{2
,6},{2,5},{3,5},{5,7},{6,7},{4,6},{3,7},{4,7}},{{1,6},{2,6}
,{3,6},{5,7},{2,7},{1,7},{4,6},{5,6},{3,7},{4,7}}]:

gr[8,10]:=[{{1,2},
{2,6},{1,5},{3,5},{5,8},{7,8},{6,8},{4,6},{3,7},{4,7}},
{{1,2},{3,6},{1,5},{3,5},{4,8},{5,8},{7,8},{6,7},{2,7},{4,6}
},{{1,2},{2,6},{1,5},{3,5},{4,8},{4,5},{7,8},{6,8},{6,7},{3
,7}},{{1,3},{2,4},{3,6},{1,5},{2,5},{5,8},{7,8},{6,8},{6,7}
,{4,7}},{{1,2},{3,4},{3,6},{1,5},{7,8},{6,8},{5,7},{5,6},{2
,8},{4,7}},{{1,6},{3,6},{1,5},{2,5},{4,8},{4,5},{7,8},{6,8}
,{2,7},{3,7}},{{1,6},{3,6},{1,5},{2,5},{3,8},{4,8},{5,8},{6
,7},{2,7},{4,7}},{{1,3},{1,2},{3,6},{2,5},{5,8},{4,5},{7,8}
,{6,8},{6,7},{4,7}},{{1,3},{1,2},{3,6},{2,5},{4,8},{5,8},{6
,8},{5,7},{6,7},{4,7}},{{1,2},{3,4},{2,6},{1,5},{4,8},{7,8}
,{6,8},{5,7},{5,6},{3,7}},{{1,2},{3,6},{3,5},{4,5},{7,8},{6
,8},{5,7},{1,7},{4,6},{2,8}},{{1,6},{2,6},{1,5},{2,5},{3,8}
,{4,8},{6,8},{5,7},{3,7},{4,7}},{{1,2},{2,6},{1,5},{3,5},{3
,8},{7,8},{6,8},{5,7},{4,6},{4,7}},{{1,2},{1,4},{2,6},{3,5}
,{4,8},{5,8},{7,8},{6,8},{6,7},{3,7}},{{1,4},{1,6},{3,6},{2
,5},{4,8},{5,8},{7,8},{6,8},{2,7},{3,7}},{{2,3},{1,4},{2,6}
,{1,5},{4,8},{5,8},{7,8},{6,8},{6,7},{3,7}},{{1,2},{3,5},{5
,8},{7,8},{6,8},{1,7},{4,6},{2,8},{3,7},{4,7}},{{1,4},{2,6}
,{3,6},{1,5},{4,8},{5,8},{7,8},{6,8},{2,7},{3,7}},{{1,3},{1
,2},{3,8},{4,8},{5,8},{7,8},{6,7},{2,7},{4,6},{5,6}},{{1,3}
,{2,6},{3,8},{4,8},{5,8},{7,8},{2,7},{1,7},{4,6},{5,6}},{{1
,6},{2,6},{3,6},{3,8},{4,8},{5,8},{5,7},{1,7},{2,8},{4,7}},
{{1,2},{1,6},{3,6},{3,8},{4,8},{5,8},{5,7},{6,7},{2,8},{4,7}
},{{1,3},{2,4},{1,6},{3,8},{4,8},{5,8},{7,8},{6,7},{2,7},{5
,6}},{{1,3},{1,2},{3,8},{4,8},{5,8},{6,8},{5,7},{6,7},{2,7}
,{4,7}},{{1,2},{3,4},{4,8},{5,8},{6,8},{5,7},{6,7},{1,7},{2
,8},{3,7}},{{1,3},{1,2},{3,8},{4,8},{5,8},{6,8},{5,7},{6,7}
,{2,8},{4,7}}]:

gr[9,10]:=[{{1,2},
{1,4},{3,6},{2,5},{4,8},{5,8},{6,9},{7,9},{8,9},{3,7}},{{1,3
},{1,2},{2,4},{3,5},{4,8},{5,9},{7,9},{8,9},{6,8},{6,7}},{{1
,2},{1,4},{3,6},{2,5},{4,8},{5,9},{7,9},{8,9},{6,8},{3,7}},
{{1,3},{1,4},{2,6},{2,5},{3,8},{5,8},{4,9},{6,9},{7,9},{7,8}
},{{1,3},{1,2},{2,4},{3,5},{4,8},{5,9},{6,9},{7,9},{7,8},{6
,8}},{{1,3},{1,2},{2,4},{3,8},{5,8},{4,9},{6,9},{7,9},{7,8}
,{5,6}},{{1,3},{1,4},{2,6},{2,5},{3,8},{4,8},{5,9},{6,9},{7
,9},{7,8}},{{1,3},{1,2},{4,8},{5,8},{3,9},{6,9},{7,9},{5,7}
,{4,6},{2,8}},{{1,3},{1,2},{3,6},{2,5},{4,8},{5,9},{6,9},{7
,9},{8,9},{4,7}},{{1,2},{3,4},{2,6},{1,5},{4,8},{5,9},{6,9}
,{7,9},{8,9},{3,7}}]:

gr[10,10]:=[{{2,3},{1,2},{3,4},{4,5},{8,9},{7,8},{6,7},
{5,6},{1,10},{9,10}}]:

gr[7,11]:=[{{1,4},{1,5},
{3,5},{3,4},{2,3},{5,6},{2,6},{1,6},{1,7},{2,7},{4,7}},
{{1,4},{1,5},{2,5},{4,5},{3,4},{3,6},{2,6},{1,6},{1,7},{2,7}
,{3,7}},{{1,4},{1,5},{2,5},{3,5},{2,4},{3,4},{3,6},{2,6},{1
,6},{1,7},{2,7}},{{1,4},{1,5},{2,5},{4,5},{3,4},{2,3},{3,6}
,{2,6},{1,6},{1,7},{2,7}},{{1,4},{1,5},{2,5},{3,5},{2,4},{3
,4},{2,3},{3,6},{1,6},{1,7},{2,7}},{{1,5},{2,5},{4,5},{1,2}
,{3,4},{2,3},{4,6},{2,6},{1,6},{1,7},{3,7}},{{1,5},{3,5},{1
,2},{2,4},{3,4},{1,3},{2,3},{5,6},{2,6},{1,7},{4,7}}]:

gr[8,11]:=[{{3,5},{4,5},{1,2},{5,8},{2,4},{1,3},{3,6},{7,8},
{6,8},{4,7},{6,7}},{{1,4},{2,5},{3,5},{5,8},{1,3},{4,6},{2,6},
{7,8},{6,8},{3,7},{4,7}},{{1,4},{2,5},{3,5},{4,8},{5,8},{1,3},
{4,6},{2,6},{7,8},{3,7},{6,7}},{{5,7},{3,5},{1,2},{4,8},{5,8},
{2,4},{1,3},{3,6},{6,8},{4,7},{6,7}},{{5,7},{1,4},{2,5},{5,8}
,{1,3},{2,3},{4,6},{3,6},{7,8},{6,8},{4,7}},{{1,4},{1,5},{3
,5},{5,8},{3,4},{2,3},{2,6},{7,8},{6,8},{4,7},{6,7}},{{5,7}
,{3,5},{1,2},{4,8},{2,4},{1,3},{5,6},{3,6},{7,8},{6,8},{4,7
}},{{5,7},{1,4},{2,5},{3,5},{4,8},{1,3},{4,6},{2,6},{7,8},{6
,8},{3,7}},{{5,7},{1,4},{2,5},{3,8},{1,3},{2,3},{5,6},{4,6}
,{7,8},{6,8},{4,7}},{{5,7},{1,5},{4,8},{5,8},{2,4},{3,4},{1
,3},{2,6},{6,8},{3,7},{6,7}},{{1,4},{2,5},{4,5},{5,8},{1,3}
,{2,3},{3,6},{7,8},{6,8},{4,7},{6,7}},{{1,4},{1,5},{3,5},{4
,8},{5,8},{2,4},{2,6},{7,8},{6,8},{3,7},{6,7}},{{5,7},{1,4}
,{2,5},{1,2},{4,8},{5,8},{4,6},{3,6},{7,8},{6,8},{3,7}},{{5
,7},{4,5},{1,2},{2,8},{4,8},{5,6},{3,6},{7,8},{6,8},{1,7},{
3,7}},{{5,7},{1,4},{3,5},{4,5},{1,2},{2,8},{3,8},{4,6},{7,8}
,{6,8},{6,7}},{{1,5},{4,5},{3,8},{5,8},{2,3},{1,6},{7,8},{6
,8},{2,7},{4,7},{6,7}},{{1,4},{2,5},{4,5},{3,8},{5,8},{3,4}
,{1,6},{7,8},{6,8},{2,7},{6,7}},{{3,5},{1,2},{2,8},{5,8},{5
,6},{4,6},{7,8},{6,8},{1,7},{3,7},{4,7}},{{5,7},{1,4},{1,5}
,{3,5},{2,8},{3,8},{2,4},{4,6},{7,8},{6,8},{6,7}},{{1,4},{2
,5},{4,5},{3,8},{5,8},{1,3},{2,6},{7,8},{6,8},{4,7},{6,7}},
{{5,7},{1,5},{1,2},{4,8},{5,8},{3,4},{2,6},{7,8},{6,8},{3,7}
,{6,7}},{{1,5},{4,5},{1,2},{3,8},{5,8},{3,4},{2,6},{7,8},{6
,8},{4,7},{6,7}},{{5,7},{1,4},{2,5},{4,5},{2,8},{3,8},{4,6}
,{3,6},{7,8},{6,7},{1,8}},{{5,7},{4,5},{1,2},{2,8},{3,8},{3
,4},{5,6},{1,6},{7,8},{6,8},{4,7}},{{1,5},{2,5},{3,8},{4,8}
,{5,8},{4,6},{3,6},{7,8},{1,7},{2,7},{6,7}},{{5,7},{1,4},{3
,5},{4,5},{2,8},{3,8},{2,4},{1,6},{7,8},{6,8},{6,7}},{{5,7}
,{1,4},{3,5},{2,8},{3,8},{2,4},{5,6},{4,6},{7,8},{6,7},{1,8
}},{{5,7},{1,4},{3,5},{2,8},{3,8},{2,4},{5,6},{1,6},{7,8},{6
,8},{4,7}},{{5,7},{4,5},{2,8},{3,8},{2,4},{3,4},{5,6},{1,6}
,{7,8},{6,8},{1,7}},{{5,7},{1,4},{3,5},{1,2},{2,8},{3,8},{5
,6},{4,6},{7,8},{6,8},{4,7}},{{1,5},{2,5},{3,8},{5,8},{3,4}
,{4,6},{1,6},{7,8},{6,8},{2,7},{4,7}},{{1,5},{2,5},{2,8},{3
,8},{4,8},{5,6},{6,8},{1,7},{3,7},{4,7},{6,7}},{{3,5},{4,5}
,{1,2},{2,8},{4,8},{5,6},{7,8},{6,8},{1,7},{3,7},{6,7}},{{1
,5},{4,5},{3,8},{5,8},{2,4},{1,3},{2,6},{7,8},{6,8},{4,7},{
6,7}},{{5,7},{3,5},{4,5},{2,8},{3,8},{2,4},{4,6},{1,6},{7,8}
,{6,8},{1,7}},{{1,5},{3,8},{4,8},{5,8},{5,6},{2,6},{6,8},{1
,7},{2,7},{3,7},{4,7}},{{3,5},{4,5},{1,2},{2,8},{5,8},{1,6}
,{7,8},{6,8},{3,7},{4,7},{6,7}},{{1,4},{1,5},{2,5},{3,8},{5
,8},{3,4},{2,6},{7,8},{6,8},{4,7},{6,7}},{{5,7},{1,5},{4,5}
,{2,8},{3,8},{2,4},{3,4},{1,6},{7,8},{6,8},{6,7}},{{5,7},{1
,5},{4,8},{5,8},{2,4},{1,3},{2,6},{7,8},{6,8},{3,7},{6,7}},
{{1,5},{4,5},{3,8},{5,8},{1,3},{4,6},{2,6},{7,8},{6,8},{2,7}
,{4,7}},{{5,7},{1,4},{2,5},{4,8},{5,8},{1,3},{2,6},{7,8},{6
,8},{3,7},{6,7}},{{1,5},{1,2},{3,8},{4,8},{5,8},{5,6},{6,8}
,{2,7},{3,7},{4,7},{6,7}},{{1,5},{2,8},{3,8},{4,8},{5,8},{5
,6},{2,6},{1,7},{3,7},{4,7},{6,7}},{{3,5},{1,2},{2,8},{4,8}
,{5,8},{5,6},{6,8},{1,7},{3,7},{4,7},{6,7}},{{1,5},{2,5},{3
,8},{4,8},{5,8},{1,6},{6,8},{2,7},{3,7},{4,7},{6,7}},{{5,7}
,{1,5},{1,2},{3,8},{4,8},{5,8},{2,6},{6,8},{3,7},{4,7},{6,7
}},{{5,7},{1,5},{3,8},{4,8},{5,8},{2,3},{1,6},{6,8},{2,7},{4
,7},{6,7}},{{5,7},{3,5},{4,5},{1,2},{2,8},{3,8},{4,8},{1,6}
,{7,8},{6,8},{6,7}},{{5,7},{1,2},{2,8},{3,8},{4,8},{5,8},{1
,6},{6,8},{3,7},{4,7},{6,7}},{{5,7},{1,5},{2,5},{2,8},{3,8}
,{4,8},{4,6},{3,6},{7,8},{6,7},{1,8}},{{5,7},{2,8},{3,8},{4
,8},{5,8},{2,6},{1,6},{3,7},{4,7},{6,7},{1,8}},{{5,7},{1,2}
,{2,8},{3,8},{4,8},{5,8},{6,8},{1,7},{3,7},{4,7},{6,7}}]:

gr[9,11]:=[{{4,5},{1,2},{5,8},{6,9},{7,9},{8,9},{1,3},
{3,6},{2,6},{7,8},{4,7}},{{1,4},{3,5},{1,2},{5,8},{6,9}
,{7,9},{8,9},{3,6},{2,6},{7,8},{4,7}},{{5,7},{1,2},{4,8},{5
,8},{6,9},{7,9},{8,9},{1,3},{3,6},{2,6},{4,7}},{{1,2},{5,8}
,{6,9},{7,9},{8,9},{2,4},{1,3},{5,6},{3,6},{7,8},{4,7}},{{5
,7},{1,2},{4,8},{5,8},{6,9},{7,9},{8,9},{1,3},{4,6},{2,6},{
3,7}},{{5,7},{1,2},{3,8},{5,9},{6,9},{8,9},{1,3},{4,6},{2,6}
,{7,8},{4,7}},{{1,2},{4,8},{5,8},{3,9},{5,9},{7,9},{3,6},{1
,6},{6,8},{2,7},{4,7}},{{5,7},{4,8},{3,9},{7,9},{8,9},{2,4}
,{1,3},{5,6},{1,6},{6,8},{2,7}},{{5,7},{1,2},{4,8},{5,8},{7
,9},{8,9},{2,9},{4,6},{3,6},{1,6},{3,7}},{{5,7},{4,8},{5,9}
,{6,9},{8,9},{2,4},{1,3},{2,6},{1,6},{7,8},{3,7}},{{5,7},{1
,2},{5,8},{4,9},{7,9},{8,9},{1,3},{4,6},{2,6},{6,8},{3,7}},
{{5,7},{3,8},{4,9},{7,9},{8,9},{2,4},{1,3},{5,6},{1,6},{6,8}
,{2,7}},{{5,7},{1,2},{3,8},{4,9},{7,9},{8,9},{3,4},{5,6},{1
,6},{6,8},{2,7}},{{1,2},{2,8},{4,8},{5,9},{7,9},{8,9},{5,6}
,{4,6},{3,6},{1,7},{3,7}},{{4,8},{5,9},{7,9},{8,9},{2,4},{1
,3},{5,6},{2,6},{1,6},{7,8},{3,7}},{{1,2},{4,8},{5,9},{7,9}
,{8,9},{1,3},{5,6},{4,6},{2,6},{7,8},{3,7}},{{4,5},{1,2},{4
,8},{5,9},{7,9},{8,9},{1,3},{2,6},{6,8},{3,7},{6,7}},{{4,5}
,{1,2},{4,8},{5,9},{6,9},{7,9},{1,3},{2,6},{7,8},{6,8},{3,7
}},{{1,2},{3,8},{4,8},{5,9},{7,9},{8,9},{5,6},{3,6},{1,6},{2
,7},{4,7}},{{1,2},{4,8},{5,8},{7,9},{8,9},{2,9},{5,6},{4,6}
,{3,6},{1,7},{3,7}},{{1,2},{5,8},{5,9},{6,9},{7,9},{2,4},{1
,3},{3,6},{7,8},{6,8},{4,7}},{{5,7},{2,8},{3,8},{4,9},{5,9}
,{8,9},{3,6},{2,6},{1,6},{1,7},{4,7}},{{1,2},{4,8},{5,8},{4
,9},{5,9},{7,9},{3,6},{1,6},{6,8},{2,7},{3,7}},{{5,7},{4,8}
,{5,8},{6,9},{7,9},{8,9},{2,4},{1,3},{2,6},{1,6},{3,7}},{{5
,7},{1,2},{2,8},{3,9},{7,9},{8,9},{1,3},{5,6},{4,6},{6,8},{
4,7}},{{5,7},{2,8},{3,8},{4,9},{5,9},{8,9},{4,6},{2,6},{1,6}
,{1,7},{3,7}},{{1,5},{1,2},{4,8},{5,9},{6,9},{7,9},{8,9},{3
,4},{2,6},{7,8},{3,7}},{{1,5},{3,8},{4,8},{5,9},{6,9},{7,9}
,{8,9},{2,3},{1,6},{2,7},{4,7}},{{1,4},{2,5},{4,8},{5,9},{6
,9},{7,9},{8,9},{1,3},{2,6},{7,8},{3,7}},{{1,5},{1,2},{3,8}
,{4,8},{5,9},{6,9},{7,9},{8,9},{2,6},{3,7},{4,7}},{{1,5},{1
,2},{3,8},{4,8},{5,9},{6,9},{7,9},{8,9},{3,6},{2,7},{4,7}},
{{1,5},{4,8},{5,9},{6,9},{7,9},{8,9},{2,4},{1,3},{2,6},{7,8}
,{3,7}},{{3,5},{1,2},{2,8},{4,8},{5,9},{6,9},{7,9},{8,9},{4
,6},{1,7},{3,7}},{{2,5},{1,2},{4,8},{5,9},{6,9},{7,9},{8,9}
,{1,3},{4,6},{7,8},{3,7}},{{1,4},{3,5},{1,2},{3,8},{4,9},{5
,9},{6,9},{8,9},{7,8},{2,7},{6,7}},{{5,7},{1,2},{2,8},{3,8}
,{4,9},{5,9},{6,9},{8,9},{1,3},{4,7},{6,7}},{{5,7},{1,2},{2
,8},{3,8},{4,9},{5,9},{6,9},{8,9},{3,4},{1,7},{6,7}},{{5,7}
,{2,8},{3,9},{4,9},{5,9},{6,9},{2,4},{1,3},{7,8},{6,8},{1,7
}},{{1,4},{2,5},{3,8},{4,9},{5,9},{6,9},{8,9},{1,3},{7,8},{2
,7},{6,7}},{{1,4},{2,5},{2,8},{3,8},{4,9},{5,9},{6,9},{8,9}
,{1,7},{3,7},{6,7}},{{1,4},{1,5},{2,8},{3,8},{4,9},{5,9},{6
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,{3,9},{4,9},{5,9},{6,9},{1,3},{6,8},{1,7},{2,7},{4,7}},{{5
,7},{1,4},{1,2},{2,8},{3,8},{4,9},{5,9},{6,9},{8,9},{3,7},{
6,7}},{{5,7},{1,2},{3,8},{4,9},{5,9},{6,9},{8,9},{2,4},{1,3}
,{7,8},{6,7}},{{5,8},{3,9},{4,9},{5,9},{6,9},{2,4},{1,3},{7
,8},{6,8},{1,7},{2,7}},{{1,4},{2,5},{3,8},{4,9},{5,9},{6,9}
,{8,9},{3,6},{7,8},{1,7},{2,7}},{{1,4},{1,5},{3,8},{4,9},{5
,9},{6,9},{8,9},{2,3},{7,8},{2,7},{6,7}},{{1,2},{2,8},{5,8}
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,2},{3,8},{4,8},{5,9},{6,9},{7,9},{2,9},{4,6},{7,8},{1,8}},
{{4,5},{1,2},{2,8},{4,8},{3,9},{5,9},{6,9},{7,9},{1,3},{7,8}
,{6,8}},{{1,2},{3,8},{5,8},{4,9},{5,9},{6,9},{7,9},{2,4},{1
,3},{7,8},{6,8}},{{1,4},{1,5},{2,8},{3,8},{4,9},{5,9},{6,9}
,{7,9},{8,9},{2,6},{3,7}},{{1,4},{2,5},{2,8},{3,9},{4,9},{5
,9},{6,9},{7,9},{1,3},{7,8},{6,8}},{{1,2},{5,8},{3,9},{4,9}
,{5,9},{6,9},{7,9},{2,4},{1,3},{7,8},{6,8}}]:

gr[10,11]:=[{{2,5},{1,2},{4,8},{5,9},{6,9},{1,3},{3,6},
{4,7},{7,10},{8,10},{9,10}},{{3,5},{1,2},{5,9},{7,9},{2,4}
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{5,9},{6,9},{3,4},{2,6},{3,7},{7,10},{8,10},{9,10}},{{1,5},{1
,2},{4,8},{5,9},{7,9},{3,4},{2,6},{3,7},{6,10},{8,10},{9,10}
},{{2,5},{1,2},{4,8},{5,9},{7,9},{1,3},{3,6},{4,7},{6,10},{8
,10},{9,10}},{{1,4},{2,5},{3,9},{5,9},{7,9},{1,3},{2,6},{7,8
},{6,10},{4,10},{8,10}},{{1,4},{2,5},{3,9},{4,9},{7,9},{1,3}
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{8,9},{2,4},{1,3},{4,6},{6,10},{7,10},{8,10}},{{1,4},{2,5},{1
,2},{4,9},{6,9},{8,9},{3,6},{3,7},{5,10},{7,10},{8,10}},{{3,
5},{1,2},{4,9},{6,9},{8,9},{2,4},{1,3},{6,7},{5,10},{7,10},{
8,10}},{{1,4},{2,5},{1,2},{4,9},{5,9},{8,9},{3,6},{3,7},{6,
10},{7,10},{8,10}},{{5,7},{1,2},{3,9},{5,9},{6,9},{2,4},{1,3}
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{2,6},{3,7},{6,10},{7,10},{8,10},{9,10}},{{1,2},{5,8},{5,9},{
2,4},{1,3},{3,6},{4,7},{6,10},{7,10},{8,10},{9,10}}]:

gr[11,11]:=[{{6,7},{4,5},{1,2},{3,4},{2,3},{9,10},{10,11},
{1,11},{5,6},{8,9},{7,8}}]:

gr[6,12]:=[{{1,4},{1,5},{2,5},{3,5},{4,5},{2,4},{1,3},{2,3},
{1,6},{2,6},{3,6},{4,6}}]:

gr[7,12]:=[{{1,4},{3,7},{1,7},{2,7},{1,5},{2,5},{3,5},{2,4},
{3,4},{1,6},{2,6},{3,6}},{{1,4},{3,7},{1,7},{2,7},{1,5},{2,5},
{4,5},{3,4},{2,3},{1,6},{2,6},{3,6}},{{4,7},{1,7},{2,7},{2,5}
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4,6}},{{1,4},{1,7},{2,7},{2,5},{4,5},{2,4},{3,4},{1,3},{2,3}
,{1,6},{3,6},{5,6}},{{1,4},{1,7},{2,7},{1,5},{2,5},{3,5},{4
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gr[8,12]:=[{{1,4},{4,8},{5,8},{3,7},{6,7},{2,5},{3,5}
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}},{{1,4},{6,8},{4,8},{5,8},{4,7},{5,7},{6,7},{2,5},{1,2},{1
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gr[9,12]:=[{{1,5},{2,5},{5,6},{6,7},{7,8},{3,6},{1,8},{4,7},{2
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