0
NonEdges:
{}
Dimension of saturated ideal:
12
Multidegree:
T_0^9+9*T_0^8*T_1+26*T_0^7*T_1^2+24*T_0^6*T_1^3
Betti table:
new BettiTally from {(0,{0, 0},0) => 1, (1,{1, 0},1) => 6, (1,{1, 2},3) => 1, (1,{1, 3},4) => 1, (1,{1, 4},5) => 1}
Degree of generators:
new Tally from {{1, 0} => 6, {1, 2} => 1, {1, 3} => 1, {1, 4} => 1}
IsPrime:
true
Computational time:
118906.214473327
Saturation s_ij:
true

1
NonEdges:
{{1, 2}}
Dimension of saturated ideal:
11
Multidegree:
T_0^9+8*T_0^8*T_1+21*T_0^7*T_1^2+16*T_0^6*T_1^3
Betti table:
new BettiTally from {(0,{0, 0},0) => 1, (1,{1, 0},1) => 6, (1,{1, 2},3) => 1, (1,{1, 3},4) => 2, (1,{3, 5},8) => 1, (1,{5, 4},9) => 1}
Degree of generators:
new Tally from {{1, 0} => 6, {1, 2} => 1, {1, 3} => 2, {3, 5} => 1, {5, 4} => 1}
IsPrime:
true
Computational time:
8489.410946131014
Saturation s_ij:
true

2
NonEdges:
{{1, 2}, {3, 4}}
Dimension of saturated ideal:
10
Multidegree:
T_0^9+7*T_0^8*T_1+17*T_0^7*T_1^2+12*T_0^6*T_1^3
Betti table:
new BettiTally from {(0,{0, 0},0) => 1, (1,{1, 0},1) => 6, (1,{1, 2},3) => 1, (1,{1, 3},4) => 3, (1,{3, 4},7) => 2}
Degree of generators:
new Tally from {{1, 0} => 6, {1, 2} => 1, {1, 3} => 3, {3, 4} => 2}
IsPrime:
true
Computational time:
14.104
Saturation s_ij:
false

3
NonEdges:
{{1, 2}, {2, 3}}
Dimension of saturated ideal:
10
Multidegree:
T_0^9+7*T_0^8*T_1+15*T_0^7*T_1^2+8*T_0^6*T_1^3
Betti table:
new BettiTally from {(0,{0, 0},0) => 1, (1,{1, 0},1) => 6, (1,{1, 2},3) => 2, (1,{1, 3},4) => 1, (1,{2, 3},5) => 1, (1,{4, 2},6) => 1}
Degree of generators:
new Tally from {{1, 0} => 6, {1, 2} => 2, {1, 3} => 1, {2, 3} => 1, {4, 2} => 1}
IsPrime:
true
Computational time:
34.6843
Saturation s_ij:
false

4
NonEdges:
{{1, 2}, {3, 4}, {4, 5}}
Dimension of saturated ideal:
9
Multidegree:
T_0^9+6*T_0^8*T_1+13*T_0^7*T_1^2+8*T_0^6*T_1^3
Betti table:
new BettiTally from {(0,{0, 0},0) => 1, (1,{1, 0},1) => 6, (1,{1, 2},3) => 2, (1,{1, 3},4) => 2, (1,{3, 2},5) => 1}
Degree of generators:
new Tally from {{1, 0} => 6, {1, 2} => 2, {1, 3} => 2, {3, 2} => 1}
IsPrime:
true
Computational time:
2.48602
Saturation s_ij:
false

5
NonEdges:
{{1, 2}, {3, 4}, {5, 6}}
Dimension of saturated ideal:
9
Multidegree:
T_0^9+6*T_0^8*T_1+14*T_0^7*T_1^2+8*T_0^6*T_1^3
Betti table:
new BettiTally from {(0,{0, 0},0) => 1, (1,{1, 0},1) => 6, (1,{1, 2},3) => 1, (1,{1, 3},4) => 4, (1,{2, 2},4) => 2}
Degree of generators:
new Tally from {{1, 0} => 6, {1, 2} => 1, {1, 3} => 4, {2, 2} => 2}
IsPrime:
true
Computational time:
4.44894
Saturation s_ij:
false

6
NonEdges:
{{1, 2}, {3, 4}, {4, 5}, {5, 6}}
Dimension of saturated ideal:
8
Multidegree:
T_0^9+5*T_0^8*T_1+10*T_0^7*T_1^2+4*T_0^6*T_1^3
Betti table:
new BettiTally from {(0,{0, 0},0) => 1, (1,{1, 0},1) => 6, (1,{1, 2},3) => 3, (1,{1, 3},4) => 1, (1,{2, 2},4) => 2, (1,{3, 2},5) => 1}
Degree of generators:
new Tally from {{1, 0} => 6, {1, 2} => 3, {1, 3} => 1, {2, 2} => 2, {3, 2} => 1}
IsPrime:
true
Computational time:
2.59306
Saturation s_ij:
false

7
NonEdges:
{{1, 2}, {2, 3}, {3, 4}}
Dimension of saturated ideal:
9
Multidegree:
T_0^9+6*T_0^8*T_1+10*T_0^7*T_1^2+4*T_0^6*T_1^3
Betti table:
new BettiTally from {(0,{0, 0},0) => 1, (1,{1, 0},1) => 6, (1,{1, 2},3) => 3, (1,{2, 2},4) => 2, (1,{3, 2},5) => 1}
Degree of generators:
new Tally from {{1, 0} => 6, {1, 2} => 3, {2, 2} => 2, {3, 2} => 1}
IsPrime:
true
Computational time:
.734802
Saturation s_ij:
false

8
NonEdges:
{{1, 2}, {2, 3}, {3, 4}, {4, 5}}
Dimension of saturated ideal:
8
Multidegree:
T_0^9+5*T_0^8*T_1+8*T_0^7*T_1^2+4*T_0^6*T_1^3
Betti table:
new BettiTally from {(0,{0, 0},0) => 1, (1,{1, 0},1) => 6, (1,{1, 2},3) => 4, (1,{2, 2},4) => 2}
Degree of generators:
new Tally from {{1, 0} => 6, {1, 2} => 4, {2, 2} => 2}
IsPrime:
true
Computational time:
.520142
Saturation s_ij:
false

9
NonEdges:
{{1, 2}, {2, 3}, {3, 4}, {4, 5}, {5, 6}}
Dimension of saturated ideal:
7
Multidegree:
T_0^9+4*T_0^8*T_1+7*T_0^7*T_1^2+4*T_0^6*T_1^3
Betti table:
new BettiTally from {(0,{0, 0},0) => 1, (1,{1, 0},1) => 6, (1,{1, 2},3) => 5, (1,{2, 2},4) => 1}
Degree of generators:
new Tally from {{1, 0} => 6, {1, 2} => 5, {2, 2} => 1}
IsPrime:
true
Computational time:
.53407
Saturation s_ij:
false

10
NonEdges:
{{1, 2}, {2, 3}, {1, 5}, {4, 5}, {3, 4}}
Dimension of saturated ideal:
7
Multidegree:
T_0^9+4*T_0^8*T_1+6*T_0^7*T_1^2+4*T_0^6*T_1^3
Betti table:
new BettiTally from {(0,{0, 0},0) => 1, (1,{1, 0},1) => 6, (1,{1, 2},3) => 6}
Degree of generators:
new Tally from {{1, 0} => 6, {1, 2} => 6}
IsPrime:
true
Computational time:
.524443
Saturation s_ij:
false

11
NonEdges:
{{1, 2}, {1, 3}, {2, 3}}
Dimension of saturated ideal:
9
Multidegree:
T_0^9+6*T_0^8*T_1+9*T_0^7*T_1^2+4*T_0^6*T_1^3
Betti table:
new BettiTally from {(0,{0, 0},0) => 1, (1,{1, 0},1) => 6, (1,{1, 2},3) => 3, (1,{2, 2},4) => 3}
Degree of generators:
new Tally from {{1, 0} => 6, {1, 2} => 3, {2, 2} => 3}
IsPrime:
true
Computational time:
.545277
Saturation s_ij:
false

12
NonEdges:
{{1, 2}, {1, 3}, {2, 3}, {4, 5}}
Dimension of saturated ideal:
8
Multidegree:
T_0^9+5*T_0^8*T_1+9*T_0^7*T_1^2+4*T_0^6*T_1^3
Betti table:
new BettiTally from {(0,{0, 0},0) => 1, (1,{1, 0},1) => 6, (1,{1, 2},3) => 3, (1,{1, 3},4) => 1, (1,{2, 2},4) => 3}
Degree of generators:
new Tally from {{1, 0} => 6, {1, 2} => 3, {1, 3} => 1, {2, 2} => 3}
IsPrime:
true
Computational time:
.51368
Saturation s_ij:
false

13
NonEdges:
{{1, 2}, {1, 3}, {2, 3}, {4, 5}, {5, 6}, {4, 6}}
Dimension of saturated ideal:
7
Multidegree:
T_0^8+3*T_0^7*T_1+7*T_0^6*T_1^2+4*T_0^5*T_1^3
Betti table:
new BettiTally from {(0,{0, 0},0) => 1, (1,{1, 0},1) => 5, (1,{1, 2},3) => 5, (1,{2, 2},4) => 1}
Degree of generators:
new Tally from {{1, 0} => 5, {1, 2} => 5, {2, 2} => 1}
IsPrime:
true
Computational time:
.465225
Saturation s_ij:
false

14
NonEdges:
{{1, 6}, {2, 6}, {3, 5}, {4, 5}}
Dimension of saturated ideal:
8
Multidegree:
T_0^9+5*T_0^8*T_1+10*T_0^7*T_1^2+8*T_0^6*T_1^3
Betti table:
new BettiTally from {(0,{0, 0},0) => 1, (1,{1, 0},1) => 6, (1,{1, 2},3) => 3, (1,{1, 3},4) => 1}
Degree of generators:
new Tally from {{1, 0} => 6, {1, 2} => 3, {1, 3} => 1}
IsPrime:
true
Computational time:
.567215
Saturation s_ij:
false
