numVars = 5, maxDegree = 15, binomialsInEachSample = 5, sampleSize = 50, MonomialOrder = VerticalList{MonomialSize => 32, GRevLex => {1, 1, 1, 1, 1}, Position => Up}
{{0,5,1,0,4},{2,2,4,1,0}},{{2,7,0,4,2},{2,0,4,0,2}},{{4,0,5,6,0},{0,4,2,4,5}},{{2,2,9,2,0},{11,1,1,0,1}},{{6,6,3,0,0},{0,6,0,1,4}}
{{4,0,0,7,1},{2,1,1,6,1}},{{9,0,3,2,0},{3,3,1,1,3}},{{0,9,4,1,0},{3,6,2,0,2}},{{5,0,0,0,10},{3,0,2,4,0}},{{2,0,3,8,2},{2,3,3,1,2}}
{{4,3,1,3,2},{0,2,0,3,7}},{{3,1,6,2,3},{0,1,0,2,10}},{{1,5,4,2,3},{3,0,2,1,2}},{{5,1,2,5,2},{2,1,1,5,3}},{{2,8,1,4,0},{2,5,0,4,3}}
{{2,6,1,3,3},{5,1,2,2,0}},{{2,0,1,10,2},{1,1,1,9,3}},{{0,1,6,6,2},{8,1,0,2,0}},{{2,7,1,4,1},{1,3,0,0,7}},{{3,7,0,4,1},{1,4,2,3,5}}
{{1,7,1,2,1},{0,1,0,8,1}},{{1,5,1,4,2},{2,0,2,3,1}},{{9,2,1,0,3},{0,0,7,0,8}},{{1,1,6,7,0},{0,2,10,0,2}},{{4,7,4,0,0},{2,0,0,4,8}}
{{2,0,8,0,1},{1,5,0,2,1}},{{0,2,6,3,1},{4,2,5,0,0}},{{7,4,2,1,0},{2,2,0,2,1}},{{1,5,6,0,3},{1,5,2,0,7}},{{8,1,3,1,2},{5,0,3,0,4}}
{{1,0,11,0,0},{5,0,2,1,0}},{{4,6,2,0,0},{0,1,4,0,2}},{{2,2,0,10,0},{1,0,0,9,4}},{{3,1,0,10,0},{0,3,8,1,1}},{{0,2,3,7,3},{1,3,5,2,1}}
{{0,0,0,3,11},{2,2,3,0,5}},{{0,6,0,8,0},{4,3,3,3,0}},{{3,4,3,1,4},{3,6,0,1,1}},{{5,2,8,0,0},{9,0,1,3,1}},{{6,8,1,0,0},{3,5,0,0,6}}
{{0,1,0,1,11},{1,3,2,4,1}},{{3,4,0,6,0},{2,4,3,1,0}},{{3,7,2,0,2},{1,3,0,4,0}},{{0,6,3,4,1},{2,2,4,4,1}},{{6,0,1,0,8},{2,0,0,7,4}}
{{3,0,2,0,7},{4,1,0,3,3}},{{1,4,3,3,1},{0,1,4,3,2}},{{4,3,1,4,0},{5,1,1,0,2}},{{2,4,0,1,6},{0,2,0,5,5}},{{4,1,5,2,1},{1,1,3,2,2}}
{{1,1,0,4,6},{0,0,0,1,5}},{{3,5,2,0,3},{0,0,4,6,1}},{{3,0,6,3,1},{3,2,1,0,6}},{{0,3,0,3,9},{0,0,1,3,5}},{{7,0,1,1,6},{5,1,4,2,1}}
{{5,2,3,1,2},{2,2,1,3,1}},{{6,2,0,3,3},{3,3,2,2,2}},{{6,1,3,2,2},{2,3,1,2,4}},{{4,4,1,0,6},{2,0,3,3,1}},{{0,5,3,7,0},{5,1,0,2,0}}
{{0,0,11,1,0},{2,3,0,7,0}},{{3,1,1,9,0},{1,0,0,3,8}},{{9,0,0,5,0},{2,0,1,1,0}},{{1,0,1,1,12},{1,0,0,8,4}},{{6,1,3,4,1},{0,7,5,2,0}}
{{1,0,2,0,10},{6,2,0,0,0}},{{5,1,3,1,3},{1,5,0,4,0}},{{3,5,0,4,1},{0,3,1,5,4}},{{14,0,0,0,0},{1,3,1,2,1}},{{1,4,1,9,0},{3,3,1,6,2}}
{{4,1,3,0,5},{0,1,7,2,1}},{{0,4,5,3,1},{1,0,0,5,0}},{{1,0,7,3,3},{1,5,4,1,2}},{{4,5,1,1,3},{0,4,1,2,4}},{{6,0,2,0,7},{3,0,7,1,0}}
{{4,1,5,2,1},{3,2,2,1,5}},{{0,0,7,0,7},{0,1,0,4,4}},{{4,1,5,3,1},{3,5,1,3,2}},{{3,0,5,3,4},{7,2,0,2,2}},{{1,10,3,1,0},{1,0,8,2,3}}
{{0,1,3,4,4},{2,2,0,5,2}},{{4,2,2,2,2},{4,5,0,1,0}},{{2,2,1,2,8},{0,3,1,2,4}},{{1,0,1,11,2},{6,0,1,7,0}},{{0,3,0,12,0},{0,7,3,4,1}}
{{3,3,0,3,3},{0,2,4,3,2}},{{2,4,3,3,2},{4,0,1,2,3}},{{6,3,4,0,1},{0,0,1,3,9}},{{0,7,3,5,0},{0,1,2,1,10}},{{8,1,4,2,0},{0,6,4,0,1}}
{{4,1,5,2,0},{1,2,0,5,0}},{{0,1,1,10,1},{1,1,1,2,1}},{{2,4,2,2,5},{0,0,8,4,0}},{{4,4,1,4,2},{1,0,3,1,8}},{{1,0,6,8,0},{2,6,1,2,3}}
{{0,2,1,7,1},{1,1,2,1,1}},{{0,1,0,4,9},{2,1,0,2,3}},{{4,0,4,4,3},{4,0,6,1,0}},{{4,3,5,0,3},{2,0,5,0,7}},{{9,0,1,3,2},{0,0,0,4,6}}
{{5,5,3,0,0},{0,2,1,6,0}},{{3,5,0,0,6},{1,1,5,4,2}},{{6,0,2,1,5},{0,3,3,3,5}},{{9,3,0,2,1},{0,4,0,2,0}},{{0,7,3,5,0},{2,6,0,0,0}}
{{1,3,2,2,7},{1,2,0,6,3}},{{6,0,2,1,6},{4,1,2,1,1}},{{0,2,6,3,4},{8,1,1,2,1}},{{2,6,1,6,0},{5,2,2,4,2}},{{9,1,3,2,0},{0,7,1,0,1}}
{{3,1,3,0,5},{1,0,5,1,2}},{{0,1,0,9,4},{3,1,0,1,9}},{{0,2,5,2,6},{1,2,1,2,9}},{{1,3,5,3,3},{5,1,5,0,4}},{{4,2,6,0,3},{5,1,2,3,3}}
{{0,4,0,1,8},{3,2,0,6,1}},{{4,2,0,5,3},{0,4,0,4,0}},{{6,6,2,0,0},{8,1,3,2,0}},{{0,0,11,0,4},{3,0,5,5,1}},{{2,5,3,2,3},{2,1,9,0,1}}
{{0,0,9,0,2},{3,1,3,3,0}},{{0,1,1,4,6},{3,1,1,0,7}},{{2,2,1,2,6},{5,1,1,1,0}},{{11,1,0,0,2},{2,1,0,0,10}},{{4,2,0,8,0},{2,3,3,0,4}}
{{5,2,5,1,0},{0,8,3,1,1}},{{2,0,3,5,4},{3,5,0,5,0}},{{2,3,0,1,9},{3,3,0,1,5}},{{0,7,1,3,4},{3,3,0,2,6}},{{5,3,1,4,2},{1,1,0,5,1}}
{{3,6,2,1,1},{0,1,0,3,6}},{{1,6,1,0,7},{5,3,0,0,1}},{{2,1,6,0,6},{2,2,8,0,1}},{{3,5,1,5,1},{0,0,4,3,4}},{{6,3,1,5,0},{5,3,1,1,5}}
{{4,6,2,2,0},{3,0,4,0,4}},{{1,0,8,1,5},{0,0,7,0,4}},{{2,7,2,0,4},{4,1,0,0,7}},{{4,1,0,10,0},{0,1,6,0,8}},{{2,8,3,2,0},{3,5,0,1,0}}
{{0,1,7,0,3},{0,0,4,0,5}},{{3,4,1,2,2},{1,5,0,1,1}},{{8,0,4,1,1},{0,2,5,6,1}},{{8,4,1,0,1},{0,0,7,0,7}},{{1,2,0,9,3},{3,3,3,0,3}}
{{2,2,8,0,0},{4,0,2,1,3}},{{2,0,5,3,3},{0,0,3,8,1}},{{0,0,3,1,11},{0,2,4,2,0}},{{1,4,1,4,5},{0,5,0,1,0}},{{4,6,2,3,0},{2,1,3,3,5}}
{{4,4,0,3,2},{2,1,0,2,2}},{{1,6,1,0,6},{3,2,6,0,2}},{{5,2,1,0,6},{2,5,0,6,0}},{{0,2,1,6,6},{0,6,1,1,6}},{{7,4,3,1,0},{8,5,0,1,0}}
{{2,4,1,4,1},{2,2,5,0,3}},{{2,2,0,6,3},{2,1,0,1,3}},{{8,3,0,1,2},{4,2,0,2,6}},{{1,5,0,0,9},{5,0,1,1,1}},{{0,5,10,0,0},{3,0,1,5,2}}
{{0,3,2,0,6},{0,1,1,5,0}},{{2,2,0,1,7},{1,2,6,1,0}},{{6,1,1,3,1},{0,3,2,0,1}},{{0,0,11,1,2},{3,3,0,5,2}},{{0,5,0,7,3},{3,0,0,2,7}}
{{1,7,3,0,0},{0,0,0,3,2}},{{2,3,2,3,3},{2,0,1,1,3}},{{3,0,3,1,8},{0,7,0,7,0}},{{5,2,2,0,6},{1,5,2,5,1}},{{2,0,2,9,2},{1,0,1,4,3}}
{{0,0,5,1,8},{0,5,3,1,3}},{{1,4,4,3,2},{4,3,0,0,5}},{{3,2,0,1,9},{1,2,2,4,1}},{{3,1,2,0,9},{2,1,4,0,0}},{{9,0,0,6,0},{2,2,5,0,5}}
{{10,1,0,1,0},{9,1,1,0,0}},{{1,12,0,0,0},{0,1,9,2,0}},{{6,0,0,8,0},{3,3,2,3,1}},{{0,3,1,8,3},{0,1,4,4,1}},{{1,4,1,7,2},{7,0,2,0,0}}
{{2,0,4,5,1},{0,6,3,0,3}},{{2,0,0,10,2},{1,8,2,1,0}},{{0,3,2,5,5},{1,4,3,3,2}},{{0,1,6,3,5},{4,3,1,2,2}},{{0,1,10,0,4},{2,1,1,4,2}}
{{1,6,2,0,1},{1,1,2,1,5}},{{0,9,0,1,3},{3,1,1,1,1}},{{6,2,2,0,3},{6,0,0,3,1}},{{1,4,5,4,0},{2,4,3,2,3}},{{1,1,3,9,1},{0,7,0,1,5}}
{{1,1,1,9,2},{3,6,0,2,2}},{{1,7,4,0,2},{0,2,0,0,11}},{{1,10,2,1,0},{2,3,3,6,0}},{{3,3,3,4,2},{0,6,1,5,2}},{{1,3,4,7,0},{1,1,0,1,10}}
{{0,3,2,6,2},{0,1,1,0,0}},{{4,5,2,3,0},{1,5,1,0,7}},{{3,2,7,2,0},{1,7,0,0,0}},{{5,3,0,2,5},{0,9,1,0,0}},{{0,2,11,2,0},{0,2,1,4,1}}
{{0,1,1,6,4},{10,0,1,0,0}},{{2,1,2,0,9},{1,0,2,9,1}},{{2,2,8,2,0},{6,0,2,0,4}},{{1,2,2,6,4},{9,1,0,4,0}},{{3,3,1,4,4},{3,7,1,2,0}}
{{0,1,2,8,0},{2,1,0,2,6}},{{0,0,5,7,0},{0,0,2,0,6}},{{0,1,11,0,1},{0,0,6,3,0}},{{1,8,2,0,4},{0,1,1,6,5}},{{0,1,5,8,1},{2,0,5,2,0}}
{{3,0,4,1,5},{0,2,2,7,0}},{{0,3,4,4,3},{3,1,5,1,0}},{{4,4,3,0,3},{0,4,0,5,3}},{{7,0,6,1,1},{6,0,2,2,5}},{{6,6,1,2,0},{2,4,1,1,0}}
{{1,9,1,0,2},{3,0,0,0,9}},{{3,1,1,8,0},{2,4,1,0,1}},{{1,6,1,3,3},{1,3,2,1,4}},{{3,4,1,6,0},{3,7,0,1,3}},{{5,0,4,3,3},{3,5,0,2,0}}
{{5,0,1,2,4},{3,0,4,2,2}},{{2,0,0,10,0},{5,1,1,1,0}},{{0,2,4,4,3},{0,2,5,0,5}},{{3,2,0,7,2},{0,2,4,3,4}},{{3,7,3,1,0},{3,2,4,0,5}}
{{2,2,4,2,2},{1,5,0,1,5}},{{3,2,3,5,0},{0,0,0,3,8}},{{3,3,2,4,3},{1,7,0,5,0}},{{5,5,1,2,2},{1,1,1,3,1}},{{9,2,0,4,0},{4,1,0,2,0}}
{{6,0,0,4,2},{1,0,1,4,6}},{{1,3,1,6,4},{7,0,2,0,1}},{{1,2,7,2,3},{2,1,1,6,0}},{{6,5,2,0,2},{0,5,0,5,4}},{{0,6,0,8,1},{4,2,0,4,4}}
{{4,0,3,3,3},{2,1,6,1,0}},{{2,6,0,4,2},{1,1,5,2,2}},{{4,3,0,5,3},{6,3,2,1,2}},{{1,6,2,5,1},{0,1,7,3,4}},{{4,4,7,0,0},{0,2,1,4,5}}
{{0,9,2,2,0},{1,6,0,1,5}},{{2,0,2,8,2},{1,0,6,1,4}},{{0,2,4,7,1},{1,1,1,5,0}},{{2,0,4,3,6},{5,4,0,4,1}},{{1,0,2,9,3},{3,0,1,0,4}}
{{3,5,1,1,0},{0,3,1,3,1}},{{5,0,4,4,0},{0,3,9,0,0}},{{5,0,2,5,2},{2,3,3,2,2}},{{1,5,0,4,5},{1,1,1,4,5}},{{0,12,3,0,0},{0,3,2,0,9}}