;Non-Edges;Multidegree
1;{12, 23, 57, 14, 34, 56, 13, 67, 24};5*s^4*t^6 + 16*s^3*t^7 + 15*s^2*t^8 + 5*s*t^9 + t^10
2;{12, 23, 14, 34, 56, 13, 24};5*s^4*t^7 + 16*s^3*t^8 + 18*s^2*t^9 + 7*s*t^10 + t^11
3;{12, 23, 14, 34, 13, 24};5*s^4*t^7 + 16*s^3*t^8 + 18*s^2*t^9 + 8*s*t^10 + t^11
4;{12, 23, 45, 34, 56, 13, 67, 16, 24};5*s^4*t^7 + 13*s^3*t^8 + 10*s^2*t^9 + 4*s*t^10 + t^11
5;{12, 23, 45, 34, 56, 13, 16, 24};5*s^4*t^7 + 15*s^3*t^8 + 14*s^2*t^9 + 6*s*t^10 + t^11
6;{12, 23, 45, 17, 34, 56, 13, 67, 24};5*s^4*t^7 + 15*s^3*t^8 + 12*s^2*t^9 + 5*s*t^10 + t^11
7;{12, 23, 45, 34, 56, 13, 67, 24};5*s^4*t^7 + 18*s^3*t^8 + 16*s^2*t^9 + 6*s*t^10 + t^11
8;{12, 23, 45, 57, 34, 56, 13, 24};5*s^4*t^7 + 16*s^3*t^8 + 13*s^2*t^9 + 5*s*t^10 + t^11
9;{12, 23, 45, 17, 34, 56, 13, 24};5*s^4*t^7 + 15*s^3*t^8 + 15*s^2*t^9 + 6*s*t^10 + t^11
10;{12, 23, 45, 34, 56, 13, 24};5*s^4*t^7 + 18*s^3*t^8 + 18*s^2*t^9 + 7*s*t^10 + t^11
11;{12, 23, 45, 34, 13, 16, 24};5*s^4*t^7 + 15*s^3*t^8 + 16*s^2*t^9 + 7*s*t^10 + t^11
12;{12, 23, 45, 34, 13, 24};5*s^4*t^7 + 18*s^3*t^8 + 20*s^2*t^9 + 8*s*t^10 + t^11
13;{12, 23, 34, 56, 13, 67, 24};10*s^4*t^7 + 29*s^3*t^8 + 21*s^2*t^9 + 7*s*t^10 + t^11
14;{12, 23, 34, 56, 13, 47, 24};5*s^4*t^7 + 18*s^3*t^8 + 20*s^2*t^9 + 7*s*t^10 + t^11
15;{12, 23, 34, 56, 13, 24};10*s^4*t^7 + 29*s^3*t^8 + 25*s^2*t^9 + 8*s*t^10 + t^11
16;{12, 23, 34, 13, 24};10*s^4*t^7 + 29*s^3*t^8 + 27*s^2*t^9 + 9*s*t^10 + t^11
17;{12, 23, 45, 25, 34, 56, 13, 16, 46};5*s^4*t^7 + 10*s^3*t^8 + 10*s^2*t^9 + 5*s*t^10 + t^11
18;{12, 23, 45, 25, 34, 56, 13, 67, 46};5*s^4*t^7 + 13*s^3*t^8 + 12*s^2*t^9 + 5*s*t^10 + t^11
19;{12, 23, 45, 25, 34, 56, 13, 46};5*s^4*t^7 + 14*s^3*t^8 + 14*s^2*t^9 + 6*s*t^10 + t^11
20;{12, 23, 45, 25, 34, 56, 13, 67, 16};5*s^4*t^7 + 12*s^3*t^8 + 11*s^2*t^9 + 5*s*t^10 + t^11
21;{12, 23, 45, 25, 34, 56, 13, 16};5*s^4*t^7 + 13*s^3*t^8 + 13*s^2*t^9 + 6*s*t^10 + t^11
22;{12, 23, 45, 25, 34, 56, 13, 67};5*s^4*t^7 + 17*s^3*t^8 + 16*s^2*t^9 + 6*s*t^10 + t^11
23;{12, 23, 45, 25, 34, 56, 13, 47};5*s^4*t^7 + 14*s^3*t^8 + 14*s^2*t^9 + 6*s*t^10 + t^11
24;{12, 23, 45, 25, 17, 34, 56, 13};5*s^4*t^7 + 15*s^3*t^8 + 14*s^2*t^9 + 6*s*t^10 + t^11
25;{12, 23, 45, 25, 34, 56, 13};5*s^4*t^7 + 17*s^3*t^8 + 17*s^2*t^9 + 7*s*t^10 + t^11
26;{12, 23, 45, 25, 34, 13, 67, 16};5*s^4*t^7 + 16*s^3*t^8 + 16*s^2*t^9 + 6*s*t^10 + t^11
27;{12, 23, 45, 25, 34, 13, 16};5*s^4*t^7 + 16*s^3*t^8 + 17*s^2*t^9 + 7*s*t^10 + t^11
28;{12, 23, 45, 25, 34, 13, 67};5*s^4*t^7 + 20*s^3*t^8 + 21*s^2*t^9 + 7*s*t^10 + t^11
29;{12, 23, 45, 25, 34, 13};5*s^4*t^7 + 20*s^3*t^8 + 21*s^2*t^9 + 8*s*t^10 + t^11
30;{12, 23, 45, 34, 56, 13, 67, 46};10*s^4*t^7 + 22*s^3*t^8 + 17*s^2*t^9 + 6*s*t^10 + t^11
31;{12, 23, 45, 34, 56, 13, 46};10*s^4*t^7 + 26*s^3*t^8 + 21*s^2*t^9 + 7*s*t^10 + t^11
32;{12, 23, 45, 34, 56, 13, 67, 47};10*s^4*t^7 + 22*s^3*t^8 + 17*s^2*t^9 + 6*s*t^10 + t^11
33;{12, 23, 45, 34, 56, 13, 67};15*s^4*t^7 + 33*s^3*t^8 + 22*s^2*t^9 + 7*s*t^10 + t^11
34;{12, 23, 45, 57, 34, 56, 13};15*s^4*t^7 + 30*s^3*t^8 + 20*s^2*t^9 + 7*s*t^10 + t^11
35;{12, 23, 45, 34, 56, 13};15*s^4*t^7 + 36*s^3*t^8 + 26*s^2*t^9 + 8*s*t^10 + t^11
36;{12, 23, 45, 34, 13, 67, 46};10*s^4*t^7 + 26*s^3*t^8 + 21*s^2*t^9 + 7*s*t^10 + t^11
37;{12, 23, 45, 34, 13, 46};10*s^4*t^7 + 29*s^3*t^8 + 24*s^2*t^9 + 8*s*t^10 + t^11
38;{12, 23, 45, 34, 13};15*s^4*t^7 + 39*s^3*t^8 + 30*s^2*t^9 + 9*s*t^10 + t^11
39;{12, 23, 57, 25, 34, 56, 13, 67, 46};10*s^4*t^7 + 18*s^3*t^8 + 13*s^2*t^9 + 5*s*t^10 + t^11
40;{12, 23, 25, 17, 34, 56, 13, 67, 46};5*s^4*t^7 + 16*s^3*t^8 + 11*s^2*t^9 + 5*s*t^10 + t^11
41;{12, 23, 57, 25, 17, 34, 56, 13, 46};5*s^4*t^7 + 15*s^3*t^8 + 12*s^2*t^9 + 5*s*t^10 + t^11
42;{12, 23, 25, 34, 56, 13, 67, 46};10*s^4*t^7 + 22*s^3*t^8 + 15*s^2*t^9 + 6*s*t^10 + t^11
43;{12, 23, 57, 25, 34, 56, 13, 46};10*s^4*t^7 + 21*s^3*t^8 + 16*s^2*t^9 + 6*s*t^10 + t^11
44;{12, 23, 25, 17, 34, 56, 13, 46};5*s^4*t^7 + 19*s^3*t^8 + 16*s^2*t^9 + 6*s*t^10 + t^11
45;{12, 23, 25, 34, 56, 13, 46};10*s^4*t^7 + 25*s^3*t^8 + 20*s^2*t^9 + 7*s*t^10 + t^11
46;{12, 23, 25, 34, 56, 13, 67};10*s^4*t^7 + 28*s^3*t^8 + 21*s^2*t^9 + 7*s*t^10 + t^11
47;{12, 23, 57, 25, 34, 56, 13};10*s^4*t^7 + 24*s^3*t^8 + 19*s^2*t^9 + 7*s*t^10 + t^11
48;{12, 23, 25, 34, 56, 13, 47};10*s^4*t^7 + 25*s^3*t^8 + 21*s^2*t^9 + 7*s*t^10 + t^11
49;{12, 23, 25, 34, 56, 13};10*s^4*t^7 + 28*s^3*t^8 + 24*s^2*t^9 + 8*s*t^10 + t^11
50;{12, 23, 25, 34, 13, 67, 16};5*s^4*t^7 + 19*s^3*t^8 + 19*s^2*t^9 + 7*s*t^10 + t^11
51;{12, 23, 25, 34, 13, 16};5*s^4*t^7 + 19*s^3*t^8 + 21*s^2*t^9 + 8*s*t^10 + t^11
52;{12, 23, 25, 34, 13};10*s^4*t^7 + 31*s^3*t^8 + 28*s^2*t^9 + 9*s*t^10 + t^11
53;{12, 23, 34, 56, 13, 67};20*s^4*t^7 + 43*s^3*t^8 + 27*s^2*t^9 + 8*s*t^10 + t^11
54;{12, 23, 34, 56, 13, 47};15*s^4*t^7 + 36*s^3*t^8 + 27*s^2*t^9 + 8*s*t^10 + t^11
55;{12, 23, 34, 56, 13, 27};10*s^4*t^7 + 31*s^3*t^8 + 26*s^2*t^9 + 8*s*t^10 + t^11
56;{12, 23, 34, 56, 13};20*s^4*t^7 + 46*s^3*t^8 + 32*s^2*t^9 + 9*s*t^10 + t^11
57;{12, 13, 23, 34};20*s^4*t^7 + 49*s^3*t^8 + 36*s^2*t^9 + 10*s*t^10 + t^11
58;{12, 23, 45, 56, 13, 37, 67, 46};15*s^4*t^7 + 26*s^3*t^8 + 18*s^2*t^9 + 6*s*t^10 + t^11
59;{12, 23, 45, 56, 13, 67, 46};20*s^4*t^7 + 37*s^3*t^8 + 23*s^2*t^9 + 7*s*t^10 + t^11
60;{12, 23, 45, 56, 13, 46};25*s^4*t^7 + 47*s^3*t^8 + 28*s^2*t^9 + 8*s*t^10 + t^11
61;{12, 23, 45, 56, 13, 67, 47};20*s^4*t^7 + 37*s^3*t^8 + 23*s^2*t^9 + 7*s*t^10 + t^11
62;{12, 23, 45, 56, 13, 67};25*s^4*t^7 + 47*s^3*t^8 + 28*s^2*t^9 + 8*s*t^10 + t^11
63;{12, 23, 45, 57, 56, 13};25*s^4*t^7 + 44*s^3*t^8 + 26*s^2*t^9 + 8*s*t^10 + t^11
64;{12, 23, 45, 56, 13};30*s^4*t^7 + 56*s^3*t^8 + 33*s^2*t^9 + 9*s*t^10 + t^11
65;{12, 23, 45, 13, 67};30*s^4*t^7 + 56*s^3*t^8 + 34*s^2*t^9 + 9*s*t^10 + t^11
66;{12, 13, 23, 45};35*s^4*t^7 + 65*s^3*t^8 + 39*s^2*t^9 + 10*s*t^10 + t^11
67;{12, 13, 23};40*s^4*t^7 + 74*s^3*t^8 + 45*s^2*t^9 + 11*s*t^10 + t^11
68;{12, 23, 45, 57, 14, 34, 56, 67, 36};5*s^4*t^7 + 13*s^3*t^8 + 12*s^2*t^9 + 5*s*t^10 + t^11
69;{12, 23, 45, 14, 34, 56, 67, 36};5*s^4*t^7 + 15*s^3*t^8 + 14*s^2*t^9 + 6*s*t^10 + t^11
70;{12, 23, 45, 14, 34, 56, 36};5*s^4*t^7 + 16*s^3*t^8 + 17*s^2*t^9 + 7*s*t^10 + t^11
71;{12, 23, 45, 26, 57, 14, 34, 56, 67};10*s^4*t^7 + 16*s^3*t^8 + 12*s^2*t^9 + 4*s*t^10 + t^11
72;{12, 23, 45, 26, 14, 34, 56, 37, 67};5*s^4*t^7 + 14*s^3*t^8 + 11*s^2*t^9 + 5*s*t^10 + t^11
73;{12, 23, 45, 26, 14, 34, 56, 67};10*s^4*t^7 + 20*s^3*t^8 + 15*s^2*t^9 + 6*s*t^10 + t^11
74;{12, 23, 45, 26, 14, 34, 56, 37};5*s^4*t^7 + 17*s^3*t^8 + 15*s^2*t^9 + 6*s*t^10 + t^11
75;{12, 23, 45, 26, 14, 34, 56};10*s^4*t^7 + 23*s^3*t^8 + 19*s^2*t^9 + 7*s*t^10 + t^11
76;{12, 23, 45, 14, 34, 56, 37, 67};5*s^4*t^7 + 20*s^3*t^8 + 16*s^2*t^9 + 6*s*t^10 + t^11
77;{12, 23, 45, 14, 34, 56, 67};10*s^4*t^7 + 29*s^3*t^8 + 21*s^2*t^9 + 7*s*t^10 + t^11
78;{12, 23, 45, 57, 14, 34, 56};10*s^4*t^7 + 24*s^3*t^8 + 19*s^2*t^9 + 7*s*t^10 + t^11
79;{12, 23, 45, 14, 34, 56};10*s^4*t^7 + 29*s^3*t^8 + 24*s^2*t^9 + 8*s*t^10 + t^11
80;{12, 23, 45, 14, 34, 67, 36};5*s^4*t^7 + 20*s^3*t^8 + 19*s^2*t^9 + 7*s*t^10 + t^11
81;{12, 23, 45, 14, 34, 36};5*s^4*t^7 + 20*s^3*t^8 + 21*s^2*t^9 + 8*s*t^10 + t^11
82;{12, 23, 45, 26, 14, 34, 67};10*s^4*t^7 + 25*s^3*t^8 + 20*s^2*t^9 + 7*s*t^10 + t^11
83;{12, 23, 45, 26, 14, 34, 37};5*s^4*t^7 + 17*s^3*t^8 + 17*s^2*t^9 + 7*s*t^10 + t^11
84;{12, 23, 45, 26, 14, 34};10*s^4*t^7 + 27*s^3*t^8 + 23*s^2*t^9 + 8*s*t^10 + t^11
85;{12, 23, 45, 14, 34};10*s^4*t^7 + 33*s^3*t^8 + 28*s^2*t^9 + 9*s*t^10 + t^11
86;{12, 23, 14, 34, 56, 67};20*s^4*t^7 + 44*s^3*t^8 + 27*s^2*t^9 + 8*s*t^10 + t^11
87;{12, 23, 14, 34, 56, 47};10*s^4*t^7 + 33*s^3*t^8 + 26*s^2*t^9 + 8*s*t^10 + t^11
88;{12, 23, 14, 34, 56};20*s^4*t^7 + 48*s^3*t^8 + 32*s^2*t^9 + 9*s*t^10 + t^11
89;{12, 23, 34, 14};20*s^4*t^7 + 52*s^3*t^8 + 36*s^2*t^9 + 10*s*t^10 + t^11
90;{12, 23, 15, 45, 34, 56, 67};10*s^4*t^7 + 28*s^3*t^8 + 21*s^2*t^9 + 7*s*t^10 + t^11
91;{12, 23, 15, 45, 34, 56, 47};10*s^4*t^7 + 26*s^3*t^8 + 20*s^2*t^9 + 7*s*t^10 + t^11
92;{12, 23, 15, 45, 34, 56, 37};15*s^4*t^7 + 28*s^3*t^8 + 20*s^2*t^9 + 7*s*t^10 + t^11
93;{12, 23, 15, 45, 34, 56};15*s^4*t^7 + 34*s^3*t^8 + 25*s^2*t^9 + 8*s*t^10 + t^11
94;{12, 23, 15, 45, 34, 67};15*s^4*t^7 + 38*s^3*t^8 + 27*s^2*t^9 + 8*s*t^10 + t^11
95;{12, 23, 15, 45, 34};20*s^4*t^7 + 44*s^3*t^8 + 31*s^2*t^9 + 9*s*t^10 + t^11
96;{12, 23, 45, 57, 34, 56, 67, 16};10*s^4*t^7 + 25*s^3*t^8 + 17*s^2*t^9 + 6*s*t^10 + t^11
97;{12, 23, 45, 34, 56, 67, 16, 47};10*s^4*t^7 + 23*s^3*t^8 + 16*s^2*t^9 + 6*s*t^10 + t^11
98;{12, 23, 45, 34, 56, 37, 67, 16};10*s^4*t^7 + 22*s^3*t^8 + 16*s^2*t^9 + 6*s*t^10 + t^11
99;{12, 23, 45, 34, 56, 67, 16};15*s^4*t^7 + 32*s^3*t^8 + 21*s^2*t^9 + 7*s*t^10 + t^11
100;{12, 23, 45, 34, 56, 16};20*s^4*t^7 + 41*s^3*t^8 + 26*s^2*t^9 + 8*s*t^10 + t^11
101;{12, 23, 45, 17, 34, 56, 67};15*s^4*t^7 + 35*s^3*t^8 + 22*s^2*t^9 + 7*s*t^10 + t^11
102;{12, 23, 45, 34, 56, 67};20*s^4*t^7 + 43*s^3*t^8 + 27*s^2*t^9 + 8*s*t^10 + t^11
103;{12, 23, 45, 34, 56, 47};15*s^4*t^7 + 37*s^3*t^8 + 26*s^2*t^9 + 8*s*t^10 + t^11
104;{12, 23, 45, 34, 56};25*s^4*t^7 + 51*s^3*t^8 + 32*s^2*t^9 + 9*s*t^10 + t^11
105;{12, 23, 45, 34, 67, 36};10*s^4*t^7 + 31*s^3*t^8 + 25*s^2*t^9 + 8*s*t^10 + t^11
106;{12, 23, 45, 34, 36};15*s^4*t^7 + 40*s^3*t^8 + 30*s^2*t^9 + 9*s*t^10 + t^11
107;{12, 23, 34, 45};30*s^4*t^7 + 61*s^3*t^8 + 38*s^2*t^9 + 10*s*t^10 + t^11
108;{12, 23, 34, 56, 67};30*s^4*t^7 + 57*s^3*t^8 + 33*s^2*t^9 + 9*s*t^10 + t^11
109;{12, 23, 34, 56, 47};25*s^4*t^7 + 53*s^3*t^8 + 33*s^2*t^9 + 9*s*t^10 + t^11
110;{12, 56, 23, 34};35*s^4*t^7 + 67*s^3*t^8 + 39*s^2*t^9 + 10*s*t^10 + t^11
111;{12, 23, 34};40*s^4*t^7 + 77*s^3*t^8 + 45*s^2*t^9 + 11*s*t^10 + t^11
112;{12, 23, 45, 56, 67, 24};20*s^4*t^7 + 40*s^3*t^8 + 26*s^2*t^9 + 8*s*t^10 + t^11
113;{12, 23, 45, 57, 56, 24};20*s^4*t^7 + 36*s^3*t^8 + 25*s^2*t^9 + 8*s*t^10 + t^11
114;{12, 23, 45, 56, 47, 24};10*s^4*t^7 + 29*s^3*t^8 + 24*s^2*t^9 + 8*s*t^10 + t^11
115;{12, 23, 45, 56, 24};20*s^4*t^7 + 45*s^3*t^8 + 31*s^2*t^9 + 9*s*t^10 + t^11
116;{12, 23, 45, 24, 46};10*s^4*t^7 + 32*s^3*t^8 + 28*s^2*t^9 + 9*s*t^10 + t^11
117;{12, 23, 24, 45};20*s^4*t^7 + 51*s^3*t^8 + 36*s^2*t^9 + 10*s*t^10 + t^11
118;{12, 23, 24};30*s^4*t^7 + 68*s^3*t^8 + 43*s^2*t^9 + 11*s*t^10 + t^11
119;{12, 23};60*s^4*t^7 + 100*s^3*t^8 + 53*s^2*t^9 + 12*s*t^10 + t^11
120;{12, 45, 34, 67, 46};20*s^4*t^7 + 48*s^3*t^8 + 32*s^2*t^9 + 9*s*t^10 + t^11
121;{12, 45, 34, 27, 46};30*s^4*t^7 + 54*s^3*t^8 + 32*s^2*t^9 + 9*s*t^10 + t^11
122;{12, 34, 45, 46};30*s^4*t^7 + 62*s^3*t^8 + 38*s^2*t^9 + 10*s*t^10 + t^11
123;{12, 34, 45, 26};40*s^4*t^7 + 70*s^3*t^8 + 39*s^2*t^9 + 10*s*t^10 + t^11
124;{12, 34, 45};50*s^4*t^7 + 85*s^3*t^8 + 46*s^2*t^9 + 11*s*t^10 + t^11
125;{12, 56, 34, 67};40*s^4*t^7 + 72*s^3*t^8 + 40*s^2*t^9 + 10*s*t^10 + t^11
126;{12, 56, 34};55*s^4*t^7 + 90*s^3*t^8 + 47*s^2*t^9 + 11*s*t^10 + t^11
127;{12, 34};70*s^4*t^7 + 107*s^3*t^8 + 54*s^2*t^9 + 12*s*t^10 + t^11
128;{12};90*s^4*t^7 + 128*s^3*t^8 + 62*s^2*t^9 + 13*s*t^10 + t^11
129;{};120*s^4*t^7 + 154*s^3*t^8 + 71*s^2*t^9 + 14*s*t^10 + t^11