Zeta functions | |
---|---|
ask[-]: | -1/(q*t - 1) |
ask[+]: | -1/(q*t - 1) |
Graph: | |
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1 vertex: | [0] |
0 edges: | [] |
Zeta functions | |
---|---|
ask[-]: | (q - t)/((q*t - 1)*q*(t - 1)) |
ask[+]: | (q - t)/((q*t - 1)*q*(t - 1)) |
Graph: | |
---|---|
2 vertices: | [0, 1] |
1 edge: | [[0, 1]] |
Zeta functions | |
---|---|
ask[-]: | (q - t)/((q*t - 1)^2*q) |
ask[+]: | (q - t)/((q*t - 1)^2*q) |
Graph: | |
---|---|
3 vertices: | [0, 1, 2] |
2 edges: | [[0, 2], [1, 2]] |
Zeta functions | |
---|---|
ask[-]: | (q^2 - t)/((q*t - 1)*q^2*(t - 1)) |
ask[+]: | (q^3*t^2 + q^3*t - 3*q^2*t^2 + q^3 - 6*q^2*t + 6*q*t^2 - t^3 + 3*q*t - t^2 - t)/(q^3*(t - 1)^4) |
Graph: | |
---|---|
3 vertices: | [0, 1, 2] |
3 edges: | [[0, 1], [0, 2], [1, 2]] |
Zeta functions | |
---|---|
ask[-]: | (q - t)/((q^2*t - 1)*(q*t - 1)*q) |
ask[+]: | (q - t)/((q^2*t - 1)*(q*t - 1)*q) |
Graph: | |
---|---|
4 vertices: | [0, 1, 2, 3] |
3 edges: | [[0, 3], [1, 3], [2, 3]] |
Zeta functions | |
---|---|
ask[-]: | -(q^3*t^2 - 3*q^2*t^2 + q*t^3 + q^2*t - q*t^2 - q^2 + 3*q*t - t)/((q*t - 1)^3*q^2*(t - 1)) |
ask[+]: | -(q^3*t^2 - 3*q^2*t^2 + q*t^3 + q^2*t - q*t^2 - q^2 + 3*q*t - t)/((q*t - 1)^3*q^2*(t - 1)) |
Graph: | |
---|---|
4 vertices: | [0, 1, 2, 3] |
3 edges: | [[0, 3], [1, 2], [2, 3]] |
Zeta functions | |
---|---|
ask[-]: | -(q - t)^2/((q*t - 1)^2*q^2*(t - 1)) |
ask[+]: | (q^4*t^4 + q^4*t^3 - 4*q^3*t^4 - 4*q^3*t^3 + 8*q^2*t^4 - q*t^5 + 3*q^3*t^2 - 2*q^2*t^3 - 2*q*t^4 - 2*q^3*t - 2*q^2*t^2 + 3*q*t^3 - q^3 + 8*q^2*t - 4*q*t^2 - 4*q*t + t^2 + t)/((q*t^2 - 1)*(q*t - 1)*q^3*(t - 1)^3) |
Graph: | |
---|---|
4 vertices: | [0, 1, 2, 3] |
4 edges: | [[0, 3], [1, 2], [1, 3], [2, 3]] |
Zeta functions | |
---|---|
ask[-]: | -(q^3*t + q^3 - 2*q^2*t - 2*q*t + t^2 + t)/((q*t - 1)*q^3*(t - 1)^2) |
ask[+]: | -(q^3*t + q^3 - 2*q^2*t - 2*q*t + t^2 + t)/((q*t - 1)*q^3*(t - 1)^2) |
Graph: | |
---|---|
4 vertices: | [0, 1, 2, 3] |
4 edges: | [[0, 2], [0, 3], [1, 2], [1, 3]] |
Zeta functions | |
---|---|
ask[-]: | -(q^2 - t)*(q - t)/((q*t - 1)*q^3*(t - 1)^2) |
ask[+]: | -(q^4*t^3 + 2*q^4*t^2 - 3*q^3*t^3 + 3*q^4*t - 7*q^3*t^2 + 3*q^2*t^3 + q^4 - 4*q^3*t + 4*q*t^3 - t^4 - 3*q^2*t + 7*q*t^2 - 3*t^3 + 3*q*t - 2*t^2 - t)/((q*t^2 - 1)*(q - t)*q^3*(t - 1)^2) |
Graph: | |
---|---|
4 vertices: | [0, 1, 2, 3] |
5 edges: | [[0, 2], [0, 3], [1, 2], [1, 3], [2, 3]] |
Zeta functions | |
---|---|
ask[-]: | (q^3 - t)/((q*t - 1)*q^3*(t - 1)) |
ask[+]: | -(3*q^5*t^2 + 3*q^4*t^3 + q^6 + 5*q^5*t - 8*q^4*t^2 - 10*q^3*t^3 - 14*q^4*t + 14*q^2*t^3 + 10*q^3*t + 8*q^2*t^2 - 5*q*t^3 - t^4 - 3*q^2*t - 3*q*t^2)/((t^2 - q)*(q - t)*q^4*(t - 1)^2) |
Graph: | |
---|---|
4 vertices: | [0, 1, 2, 3] |
6 edges: | [[0, 1], [0, 2], [0, 3], [1, 2], [1, 3], [2, 3]] |
Zeta functions | |
---|---|
ask[-]: | (q - t)/((q^3*t - 1)*(q*t - 1)*q) |
ask[+]: | (q - t)/((q^3*t - 1)*(q*t - 1)*q) |
Graph: | |
---|---|
5 vertices: | [0, 1, 2, 3, 4] |
4 edges: | [[0, 4], [1, 4], [2, 4], [3, 4]] |
Zeta functions | |
---|---|
ask[-]: | -(q^3*t - 2*q^2*t + q*t^2 + q^2 - 2*q*t + t)/((q^2*t - 1)*(q*t - 1)^2*q^2) |
ask[+]: | -(q^3*t - 2*q^2*t + q*t^2 + q^2 - 2*q*t + t)/((q^2*t - 1)*(q*t - 1)^2*q^2) |
Graph: | |
---|---|
5 vertices: | [0, 1, 2, 3, 4] |
4 edges: | [[0, 4], [1, 4], [2, 3], [3, 4]] |
Zeta functions | |
---|---|
ask[-]: | (q - t)*(t - 1)/((q^2*t - 1)*(q*t - 1)^2*q) |
ask[+]: | (q^6*t^5 + q^6*t^4 - 4*q^5*t^5 - 4*q^5*t^4 + 7*q^4*t^5 - q^3*t^6 + 2*q^4*t^4 + 6*q^4*t^3 - 9*q^3*t^4 - 5*q^4*t^2 + 5*q^2*t^4 + 9*q^3*t^2 - 6*q^2*t^3 - 2*q^2*t^2 + q^3 - 7*q^2*t + 4*q*t^2 + 4*q*t - t^2 - t)/((q^2*t - 1)*(q*t + 1)*(q*t - 1)^2*q^3*(t - 1)^3) |
Graph: | |
---|---|
5 vertices: | [0, 1, 2, 3, 4] |
5 edges: | [[0, 4], [1, 4], [2, 3], [2, 4], [3, 4]] |
Zeta functions | |
---|---|
ask[-]: | -(2*q^3*t^2 - q^3*t - 4*q^2*t^2 + q*t^3 + 2*q^2*t - 2*q*t^2 - q^2 + 4*q*t + t^2 - 2*t)/((q*t - 1)^4*q^2) |
ask[+]: | -(2*q^3*t^2 - q^3*t - 4*q^2*t^2 + q*t^3 + 2*q^2*t - 2*q*t^2 - q^2 + 4*q*t + t^2 - 2*t)/((q*t - 1)^4*q^2) |
Graph: | |
---|---|
5 vertices: | [0, 1, 2, 3, 4] |
4 edges: | [[0, 4], [1, 3], [2, 3], [2, 4]] |
Zeta functions | |
---|---|
ask[-]: | -(q^3*t^2 - 3*q^2*t^2 + q*t^3 + q^2*t - q*t^2 - q^2 + 3*q*t - t)/((q*t - 1)^4*q^2) |
ask[+]: | (q^6*t^5 + q^6*t^4 - 5*q^5*t^5 - 2*q^5*t^4 + 9*q^4*t^5 - q^3*t^6 - q^5*t^3 - 2*q^4*t^4 - q^3*t^5 + 8*q^4*t^3 - 7*q^3*t^4 - 5*q^4*t^2 + 5*q^2*t^4 + 7*q^3*t^2 - 8*q^2*t^3 + q^3*t + 2*q^2*t^2 + q*t^3 + q^3 - 9*q^2*t + 2*q*t^2 + 5*q*t - t^2 - t)/((q*t + 1)*(q*t - 1)^4*q^3*(t - 1)^2) |
Graph: | |
---|---|
5 vertices: | [0, 1, 2, 3, 4] |
5 edges: | [[0, 4], [1, 3], [2, 3], [2, 4], [3, 4]] |
Zeta functions | |
---|---|
ask[-]: | -(q - t)^2/((q*t - 1)^3*q^2) |
ask[+]: | -(q^6*t^5 + q^6*t^4 - 3*q^5*t^5 - 3*q^5*t^4 + 2*q^4*t^5 + q^5*t^3 - q^4*t^4 + 5*q^3*t^5 - q^2*t^6 - 3*q^5*t^2 + 6*q^4*t^3 - 4*q^3*t^4 - q^2*t^5 + q^4*t^2 - q^2*t^4 + q^4*t + 4*q^3*t^2 - 6*q^2*t^3 + 3*q*t^4 + q^4 - 5*q^3*t + q^2*t^2 - q*t^3 - 2*q^2*t + 3*q*t^2 + 3*q*t - t^2 - t)/((q*t + 1)*(q*t - 1)^3*(q - t)*q^3*(t - 1)^2) |
Graph: | |
---|---|
5 vertices: | [0, 1, 2, 3, 4] |
6 edges: | [[0, 4], [1, 3], [1, 4], [2, 3], [2, 4], [3, 4]] |
Zeta functions | |
---|---|
ask[-]: | (q^4*t + q^4 - q^3*t - 2*q^2*t - q*t + t^2 + t)/((q*t - 1)^2*(q - t)*q^3) |
ask[+]: | (q^4*t + q^4 - q^3*t - 2*q^2*t - q*t + t^2 + t)/((q*t - 1)^2*(q - t)*q^3) |
Graph: | |
---|---|
5 vertices: | [0, 1, 2, 3, 4] |
6 edges: | [[0, 3], [0, 4], [1, 3], [1, 4], [2, 3], [2, 4]] |
Zeta functions | |
---|---|
ask[-]: | -(q^2 - t)*(q - t)/((q*t - 1)^2*q^3*(t - 1)) |
ask[+]: | -(q^6*t^4 + 2*q^6*t^3 - 3*q^5*t^4 + 3*q^6*t^2 - 7*q^5*t^3 + 3*q^4*t^4 - 5*q^5*t^2 + 4*q^4*t^3 - 2*q^5*t + 7*q^4*t^2 - 6*q^3*t^3 + 4*q^2*t^4 - q*t^5 - q^5 + 4*q^4*t - 6*q^3*t^2 + 7*q^2*t^3 - 2*q*t^4 + 4*q^2*t^2 - 5*q*t^3 + 3*q^2*t - 7*q*t^2 + 3*t^3 - 3*q*t + 2*t^2 + t)/((q^2 - t)*(q*t + 1)*(q*t - 1)^2*q^3*(t - 1)^2) |
Graph: | |
---|---|
5 vertices: | [0, 1, 2, 3, 4] |
7 edges: | [[0, 3], [0, 4], [1, 3], [1, 4], [2, 3], [2, 4], [3, 4]] |
Zeta functions | |
---|---|
ask[-]: | -(q^4*t^2 - q^3*t^2 - 3*q^2*t^2 + q*t^3 - q^3 + 3*q^2*t + q*t - t)/((q*t - 1)^3*q^3*(t - 1)) |
ask[+]: | -(q^4*t^2 - q^3*t^2 - 3*q^2*t^2 + q*t^3 - q^3 + 3*q^2*t + q*t - t)/((q*t - 1)^3*q^3*(t - 1)) |
Graph: | |
---|---|
5 vertices: | [0, 1, 2, 3, 4] |
5 edges: | [[0, 4], [1, 2], [1, 3], [2, 4], [3, 4]] |
Zeta functions | |
---|---|
ask[-]: | -(q^3*t + q^3 - 2*q^2*t - 2*q*t + t^2 + t)/((q*t - 1)^2*q^3*(t - 1)) |
ask[+]: | -(4*q^6*t^7 - q^5*t^8 + 6*q^6*t^6 - 23*q^5*t^7 + 6*q^4*t^8 + q^6*t^5 - 22*q^5*t^6 + 49*q^4*t^7 - 14*q^3*t^8 + q^2*t^9 + 11*q^4*t^6 - 32*q^3*t^7 + 6*q^2*t^8 - 14*q^5*t^4 + 17*q^4*t^5 + 15*q^3*t^6 + 2*q^2*t^7 - 6*q^5*t^3 + 69*q^4*t^4 - 79*q^3*t^5 + 4*q^2*t^6 + 4*q^4*t^3 - 79*q^3*t^4 + 69*q^2*t^5 - 6*q*t^6 + 2*q^4*t^2 + 15*q^3*t^3 + 17*q^2*t^4 - 14*q*t^5 + 6*q^4*t - 32*q^3*t^2 + 11*q^2*t^3 + q^4 - 14*q^3*t + 49*q^2*t^2 - 22*q*t^3 + t^4 + 6*q^2*t - 23*q*t^2 + 6*t^3 - q*t + 4*t^2)/((q*t^2 - 1)^3*q^4*(t - 1)^4) |
Graph: | |
---|---|
5 vertices: | [0, 1, 2, 3, 4] |
6 edges: | [[0, 4], [1, 2], [1, 3], [2, 3], [2, 4], [3, 4]] |
Zeta functions | |
---|---|
ask[-]: | -(q^2 - t)*(q - t)/((q*t - 1)^2*q^3*(t - 1)) |
ask[+]: | -(q^5*t^6 + 2*q^4*t^7 - 9*q^4*t^6 - 6*q^3*t^7 - 2*q^6*t^3 + 9*q^5*t^4 - 11*q^4*t^5 + 29*q^3*t^6 + 5*q^2*t^7 - 6*q^6*t^2 + 20*q^5*t^3 - 49*q^4*t^4 + 52*q^3*t^5 - 55*q^2*t^6 + 6*q*t^7 - t^8 - 3*q^6*t + 36*q^5*t^2 - 63*q^4*t^3 + 90*q^3*t^4 - 63*q^2*t^5 + 36*q*t^6 - 3*t^7 - q^6 + 6*q^5*t - 55*q^4*t^2 + 52*q^3*t^3 - 49*q^2*t^4 + 20*q*t^5 - 6*t^6 + 5*q^4*t + 29*q^3*t^2 - 11*q^2*t^3 + 9*q*t^4 - 2*t^5 - 6*q^3*t - 9*q^2*t^2 + 2*q^2*t + q*t^2)/((q*t^2 - 1)*(t^2 - q)*(q - t)*q^4*(t - 1)^4) |
Graph: | |
---|---|
5 vertices: | [0, 1, 2, 3, 4] |
7 edges: | [[0, 4], [1, 2], [1, 3], [1, 4], [2, 3], [2, 4], [3, 4]] |
Zeta functions | |
---|---|
ask[-]: | -(q^4*t^2 - q^3*t^2 - 3*q^2*t^2 + q*t^3 - q^3 + 3*q^2*t + q*t - t)/((q*t - 1)^3*q^3*(t - 1)) |
ask[+]: | -(q^6*t^7 + 5*q^6*t^6 - 5*q^5*t^7 + 3*q^6*t^5 - 26*q^5*t^6 + 13*q^4*t^7 - 6*q^5*t^5 + 44*q^4*t^6 - 19*q^3*t^7 + q^2*t^8 - 8*q^5*t^4 - 7*q^4*t^5 - 16*q^3*t^6 + 6*q^2*t^7 - 9*q^5*t^3 + 57*q^4*t^4 - q^3*t^5 - 3*q^2*t^6 + 24*q^4*t^3 - 108*q^3*t^4 + 24*q^2*t^5 - 3*q^4*t^2 - q^3*t^3 + 57*q^2*t^4 - 9*q*t^5 + 6*q^4*t - 16*q^3*t^2 - 7*q^2*t^3 - 8*q*t^4 + q^4 - 19*q^3*t + 44*q^2*t^2 - 6*q*t^3 + 13*q^2*t - 26*q*t^2 + 3*t^3 - 5*q*t + 5*t^2 + t)/((q*t^2 - 1)^2*(q*t - 1)*q^4*(t - 1)^4) |
Graph: | |
---|---|
5 vertices: | [0, 1, 2, 3, 4] |
5 edges: | [[0, 3], [1, 2], [1, 4], [2, 4], [3, 4]] |
Zeta functions | |
---|---|
ask[-]: | -(q^3*t + q^3 - 2*q^2*t - 2*q*t + t^2 + t)/((q*t - 1)^2*q^3*(t - 1)) |
ask[+]: | (q^6*t^6 + q^5*t^7 - q^6*t^5 - 3*q^5*t^6 - 6*q^4*t^7 + q^7*t^3 - 5*q^6*t^4 + 3*q^5*t^5 + 3*q^4*t^6 + 14*q^3*t^7 - 3*q^7*t^2 + 7*q^6*t^3 + 5*q^5*t^4 + 17*q^4*t^5 - 12*q^3*t^6 - 14*q^2*t^7 - q^7*t + 24*q^6*t^2 - 58*q^5*t^3 + 45*q^4*t^4 - 83*q^3*t^5 + 46*q^2*t^6 - 2*q*t^7 + t^8 - q^7 + 2*q^6*t - 46*q^5*t^2 + 83*q^4*t^3 - 45*q^3*t^4 + 58*q^2*t^5 - 24*q*t^6 + t^7 + 14*q^5*t + 12*q^4*t^2 - 17*q^3*t^3 - 5*q^2*t^4 - 7*q*t^5 + 3*t^6 - 14*q^4*t - 3*q^3*t^2 - 3*q^2*t^3 + 5*q*t^4 - t^5 + 6*q^3*t + 3*q^2*t^2 + q*t^3 - q^2*t - q*t^2)/((q*t - 1)*(q - t)^3*q^4*(t + 1)*(t - 1)^4) |
Graph: | |
---|---|
5 vertices: | [0, 1, 2, 3, 4] |
6 edges: | [[0, 3], [0, 4], [1, 2], [1, 4], [2, 4], [3, 4]] |
Zeta functions | |
---|---|
ask[-]: | (q^4*t^2 + 3*q^4*t - 5*q^3*t^2 + q^4 - 5*q^3*t + 5*q^2*t^2 - 5*q^2*t + 5*q*t^2 - t^3 + 5*q*t - 3*t^2 - t)/((q*t - 1)*q^4*(t - 1)^3) |
ask[+]: | (q^5*t^4 + 6*q^5*t^3 - 5*q^4*t^4 + 11*q^5*t^2 - 35*q^4*t^3 + 10*q^3*t^4 + 6*q^5*t - 65*q^4*t^2 + 95*q^3*t^3 - 15*q^2*t^4 + q^5 - 20*q^4*t + 130*q^3*t^2 - 130*q^2*t^3 + 20*q*t^4 - t^5 + 15*q^3*t - 95*q^2*t^2 + 65*q*t^3 - 6*t^4 - 10*q^2*t + 35*q*t^2 - 11*t^3 + 5*q*t - 6*t^2 - t)/(q^5*(t - 1)^6) |
Graph: | |
---|---|
5 vertices: | [0, 1, 2, 3, 4] |
5 edges: | [[0, 3], [0, 4], [1, 2], [1, 4], [2, 3]] |
Zeta functions | |
---|---|
ask[-]: | -(q^3*t^2 - q^4 + q^3*t - 3*q^2*t^2 + 3*q^2*t - q*t^2 + t^3 - q*t)/((q*t - 1)*q^4*(t - 1)^3) |
ask[+]: | (q^6*t^8 - 2*q^6*t^7 - 2*q^5*t^8 - 2*q^4*t^9 + q^8*t^4 - 2*q^7*t^5 - 3*q^6*t^6 + 10*q^5*t^7 - q^4*t^8 + 8*q^3*t^9 + q^8*t^3 - 12*q^7*t^4 + 31*q^6*t^5 - 10*q^5*t^6 - 5*q^4*t^7 - 2*q^3*t^8 - 11*q^2*t^9 + 4*q^8*t^2 - 20*q^7*t^3 + 81*q^6*t^4 - 172*q^5*t^5 + 131*q^4*t^6 - 78*q^3*t^7 + 41*q^2*t^8 - 2*q*t^9 + t^10 + q^8*t - 28*q^7*t^2 + 86*q^6*t^3 - 202*q^5*t^4 + 314*q^4*t^5 - 202*q^3*t^6 + 86*q^2*t^7 - 28*q*t^8 + t^9 + q^8 - 2*q^7*t + 41*q^6*t^2 - 78*q^5*t^3 + 131*q^4*t^4 - 172*q^3*t^5 + 81*q^2*t^6 - 20*q*t^7 + 4*t^8 - 11*q^6*t - 2*q^5*t^2 - 5*q^4*t^3 - 10*q^3*t^4 + 31*q^2*t^5 - 12*q*t^6 + t^7 + 8*q^5*t - q^4*t^2 + 10*q^3*t^3 - 3*q^2*t^4 - 2*q*t^5 + t^6 - 2*q^4*t - 2*q^3*t^2 - 2*q^2*t^3 + q^2*t^2)/((q - t)^3*q^5*(t + 1)^2*(t - 1)^6) |
Graph: | |
---|---|
5 vertices: | [0, 1, 2, 3, 4] |
7 edges: | [[0, 3], [0, 4], [1, 2], [1, 4], [2, 3], [2, 4], [3, 4]] |
Zeta functions | |
---|---|
ask[-]: | (q^4*t^2 - q^5 - q^3*t^2 + 3*q^3*t - 3*q^2*t^2 + q^2*t + t^3 - q*t)/((q*t - 1)*(q - t)*q^4*(t - 1)^2) |
ask[+]: | (q^5*t^4 - 2*q^6*t^2 + 2*q^5*t^3 - 6*q^4*t^4 + 2*q^3*t^5 - q^6*t + 11*q^5*t^2 - 10*q^4*t^3 + 10*q^3*t^4 - 5*q^2*t^5 - q^6 + 2*q^5*t - 9*q^4*t^2 + 9*q^2*t^4 - 2*q*t^5 + t^6 + 5*q^4*t - 10*q^3*t^2 + 10*q^2*t^3 - 11*q*t^4 + t^5 - 2*q^3*t + 6*q^2*t^2 - 2*q*t^3 + 2*t^4 - q*t^2)/((q - t)*q^5*(t + 1)*(t - 1)^5) |
Graph: | |
---|---|
5 vertices: | [0, 1, 2, 3, 4] |
7 edges: | [[0, 3], [0, 4], [1, 2], [1, 3], [1, 4], [2, 3], [2, 4]] |
Zeta functions | |
---|---|
ask[-]: | -(q^2 - t)^2/((q*t - 1)*q^4*(t - 1)^2) |
ask[+]: | (2*q^9*t^7 - q^9*t^6 - 6*q^8*t^7 - 2*q^7*t^8 - 4*q^6*t^9 + q^5*t^10 - 7*q^9*t^5 + 5*q^8*t^6 + 8*q^7*t^7 + 6*q^6*t^8 + 15*q^5*t^9 - q^4*t^10 - q^11*t^2 + 3*q^10*t^3 - 7*q^9*t^4 + 34*q^8*t^5 + 2*q^7*t^6 - 15*q^6*t^7 - 5*q^5*t^8 - 22*q^4*t^9 - 5*q^3*t^10 + 10*q^10*t^2 - 6*q^9*t^3 - 8*q^8*t^4 - 23*q^7*t^5 - 47*q^6*t^6 - 2*q^5*t^7 + 32*q^4*t^8 + 3*q^3*t^9 + 13*q^2*t^10 - q^11 - 3*q^10*t - 8*q^9*t^2 - 33*q^8*t^3 + 50*q^7*t^4 + 23*q^6*t^5 + 23*q^5*t^6 + 50*q^4*t^7 - 33*q^3*t^8 - 8*q^2*t^9 - 3*q*t^10 - t^11 + 13*q^9*t + 3*q^8*t^2 + 32*q^7*t^3 - 2*q^6*t^4 - 47*q^5*t^5 - 23*q^4*t^6 - 8*q^3*t^7 - 6*q^2*t^8 + 10*q*t^9 - 5*q^8*t - 22*q^7*t^2 - 5*q^6*t^3 - 15*q^5*t^4 + 2*q^4*t^5 + 34*q^3*t^6 - 7*q^2*t^7 + 3*q*t^8 - t^9 - q^7*t + 15*q^6*t^2 + 6*q^5*t^3 + 8*q^4*t^4 + 5*q^3*t^5 - 7*q^2*t^6 + q^6*t - 4*q^5*t^2 - 2*q^4*t^3 - 6*q^3*t^4 - q^2*t^5 + 2*q^2*t^4)/((q^2 - t)*(q + t)*(q - t)^3*q^5*(t + 1)^2*(t - 1)^5) |
Graph: | |
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5 vertices: | [0, 1, 2, 3, 4] |
8 edges: | [[0, 3], [0, 4], [1, 2], [1, 3], [1, 4], [2, 3], [2, 4], [3, 4]] |
Zeta functions | |
---|---|
ask[-]: | (q^5 + q^4*t - 2*q^3*t - 2*q^2*t + q*t + t^2)/((q*t - 1)*(q - t)*q^4*(t - 1)) |
ask[+]: | (q^5*t^5 + q^7*t^2 - q^6*t^3 - 3*q^4*t^5 - 6*q^6*t^2 + 5*q^5*t^3 + q^4*t^4 + q^3*t^5 + q^7 + q^6*t + 2*q^5*t^2 + 4*q^4*t^3 - 9*q^3*t^4 + 6*q^2*t^5 - 6*q^5*t + 9*q^4*t^2 - 4*q^3*t^3 - 2*q^2*t^4 - q*t^5 - t^6 - q^4*t - q^3*t^2 - 5*q^2*t^3 + 6*q*t^4 + 3*q^3*t + q*t^3 - t^4 - q^2*t)/((q - t)^2*q^5*(t + 1)*(t - 1)^4) |
Graph: | |
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5 vertices: | [0, 1, 2, 3, 4] |
8 edges: | [[0, 2], [0, 3], [0, 4], [1, 2], [1, 3], [1, 4], [2, 4], [3, 4]] |
Zeta functions | |
---|---|
ask[-]: | (q^3 - t)*(q^2 - t)/((q*t - 1)*(q - t)*q^4*(t - 1)) |
ask[+]: | (3*q^8*t^4 + q^9*t^2 + 3*q^8*t^3 - 10*q^7*t^4 - 3*q^5*t^6 - q^10 - 3*q^9*t - q^8*t^2 - 6*q^7*t^3 + 8*q^6*t^4 - 3*q^5*t^5 + 9*q^4*t^6 + 4*q^8*t + 12*q^7*t^2 - 5*q^6*t^3 - 4*q^5*t^4 + 16*q^4*t^5 - 8*q^3*t^6 + 8*q^7*t - 16*q^6*t^2 + 4*q^5*t^3 + 5*q^4*t^4 - 12*q^3*t^5 - 4*q^2*t^6 - 9*q^6*t + 3*q^5*t^2 - 8*q^4*t^3 + 6*q^3*t^4 + q^2*t^5 + 3*q*t^6 + t^7 + 3*q^5*t + 10*q^3*t^3 - 3*q^2*t^4 - q*t^5 - 3*q^2*t^3)/((q^2 - t)*(q + t)*(q - t)^2*q^5*(t + 1)*(t - 1)^3) |
Graph: | |
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5 vertices: | [0, 1, 2, 3, 4] |
9 edges: | [[0, 2], [0, 3], [0, 4], [1, 2], [1, 3], [1, 4], [2, 3], [2, 4], [3, 4]] |
Zeta functions | |
---|---|
ask[-]: | (q^4*t - 2*q^3*t^2 + q^4 - 2*q^3*t + 4*q^2*t^2 - 4*q^2*t + 2*q*t^2 - t^3 + 2*q*t - t^2)/((q*t - 1)*q^4*(t - 1)^3) |
ask[+]: | (q^5*t^4 + 3*q^5*t^3 - 7*q^4*t^4 - q^3*t^5 + 6*q^5*t^2 - 22*q^4*t^3 + 27*q^3*t^4 + 3*q^5*t - 33*q^4*t^2 + 61*q^3*t^3 - 53*q^2*t^4 + 8*q*t^5 - t^6 + q^5 - 8*q^4*t + 53*q^3*t^2 - 61*q^2*t^3 + 33*q*t^4 - 3*t^5 - 27*q^2*t^2 + 22*q*t^3 - 6*t^4 + q^2*t + 7*q*t^2 - 3*t^3 - t^2)/(q^5*(t + 1)*(t - 1)^6) |
Graph: | |
---|---|
5 vertices: | [0, 1, 2, 3, 4] |
6 edges: | [[0, 1], [0, 4], [1, 3], [2, 3], [2, 4], [3, 4]] |
Zeta functions | |
---|---|
ask[-]: | (q^4 - t)/((q*t - 1)*q^4*(t - 1)) |
ask[+]: | (q^9 + 4*q^7*t^2 + 9*q^7*t - 10*q^6*t^2 + 6*q^5*t^3 - 25*q^6*t + 5*q^5*t^2 - 20*q^4*t^3 + 20*q^5*t - 5*q^4*t^2 + 25*q^3*t^3 - 6*q^4*t + 10*q^3*t^2 - 9*q^2*t^3 - 4*q^2*t^2 - t^4)/((q^2 - t)*(q + t)*(q - t)*q^5*(t - 1)^2) |
Graph: | |
---|---|
5 vertices: | [0, 1, 2, 3, 4] |
10 edges: | [[0, 1], [0, 2], [0, 3], [0, 4], [1, 2], [1, 3], [1, 4], [2, 3], [2, 4], [3, 4]] |