Zeta functions | |
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ask[#]: | \(\displaystyle -\frac{q^{6} t^{5} + 57 \, q^{6} t^{4} - 12 \, q^{5} t^{5} + 302 \, q^{6} t^{3} - 492 \, q^{5} t^{4} + 60 \, q^{4} t^{5} + 302 \, q^{6} t^{2} - 2052 \, q^{5} t^{3} + 1740 \, q^{4} t^{4} - 160 \, q^{3} t^{5} + 57 \, q^{6} t - 1572 \, q^{5} t^{2} + 5580 \, q^{4} t^{3} - 3200 \, q^{3} t^{4} + 240 \, q^{2} t^{5} + q^{6} - 192 \, q^{5} t + 3180 \, q^{4} t^{2} - 7680 \, q^{3} t^{3} + 3180 \, q^{2} t^{4} - 192 \, q t^{5} + t^{6} + 240 \, q^{4} t - 3200 \, q^{3} t^{2} + 5580 \, q^{2} t^{3} - 1572 \, q t^{4} + 57 \, t^{5} - 160 \, q^{3} t + 1740 \, q^{2} t^{2} - 2052 \, q t^{3} + 302 \, t^{4} + 60 \, q^{2} t - 492 \, q t^{2} + 302 \, t^{3} - 12 \, q t + 57 \, t^{2} + t}{q^{6} {\left(t - 1\right)}^{7}}\) |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
0 edges: | [] |
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ask[#]: | \(\displaystyle \frac{q^{6} t^{4} + 26 \, q^{6} t^{3} - 8 \, q^{5} t^{4} + 66 \, q^{6} t^{2} - 144 \, q^{5} t^{3} + 22 \, q^{4} t^{4} + 26 \, q^{6} t - 264 \, q^{5} t^{2} + 252 \, q^{4} t^{3} - 16 \, q^{3} t^{4} + q^{6} - 64 \, q^{5} t + 294 \, q^{4} t^{2} - 48 \, q^{3} t^{3} - 32 \, q^{2} t^{4} + 32 \, q^{4} t + 48 \, q^{3} t^{2} - 294 \, q^{2} t^{3} + 64 \, q t^{4} - t^{5} + 16 \, q^{3} t - 252 \, q^{2} t^{2} + 264 \, q t^{3} - 26 \, t^{4} - 22 \, q^{2} t + 144 \, q t^{2} - 66 \, t^{3} + 8 \, q t - 26 \, t^{2} - t}{q^{6} {\left(t - 1\right)}^{6}}\) |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
1 edge: | [[4, 5]] |
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ask[#]: | \(\displaystyle -\frac{q^{10} t^{3} - 4 \, q^{9} t^{4} + 4 \, q^{8} t^{5} - 12 \, q^{7} t^{6} - q^{6} t^{7} + 11 \, q^{10} t^{2} - 46 \, q^{9} t^{3} + 84 \, q^{8} t^{4} - 16 \, q^{7} t^{5} + 53 \, q^{6} t^{6} + 10 \, q^{5} t^{7} + 11 \, q^{10} t - 58 \, q^{9} t^{2} + 88 \, q^{8} t^{3} - 152 \, q^{7} t^{4} - 157 \, q^{6} t^{5} - 30 \, q^{5} t^{6} - 38 \, q^{4} t^{7} + q^{10} - 12 \, q^{9} t - 12 \, q^{8} t^{2} + 358 \, q^{7} t^{3} - 329 \, q^{6} t^{4} + 760 \, q^{5} t^{5} - 160 \, q^{4} t^{6} + 66 \, q^{3} t^{7} - 44 \, q^{8} t + 236 \, q^{7} t^{2} - 1048 \, q^{6} t^{3} + 872 \, q^{5} t^{4} - 1048 \, q^{4} t^{5} + 236 \, q^{3} t^{6} - 44 \, q^{2} t^{7} + 66 \, q^{7} t - 160 \, q^{6} t^{2} + 760 \, q^{5} t^{3} - 329 \, q^{4} t^{4} + 358 \, q^{3} t^{5} - 12 \, q^{2} t^{6} - 12 \, q t^{7} + t^{8} - 38 \, q^{6} t - 30 \, q^{5} t^{2} - 157 \, q^{4} t^{3} - 152 \, q^{3} t^{4} + 88 \, q^{2} t^{5} - 58 \, q t^{6} + 11 \, t^{7} + 10 \, q^{5} t + 53 \, q^{4} t^{2} - 16 \, q^{3} t^{3} + 84 \, q^{2} t^{4} - 46 \, q t^{5} + 11 \, t^{6} - q^{4} t - 12 \, q^{3} t^{2} + 4 \, q^{2} t^{3} - 4 \, q t^{4} + t^{5}}{{\left(q - t\right)}^{4} q^{6} {\left(t - 1\right)}^{5}}\) |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
2 edges: | [[3, 5], [4, 5]] |
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ask[#]: | \(\displaystyle \frac{q^{10} t^{2} - 4 \, q^{9} t^{3} + 18 \, q^{8} t^{4} + 20 \, q^{7} t^{5} + q^{6} t^{6} + 4 \, q^{10} t - 8 \, q^{9} t^{2} - 56 \, q^{8} t^{3} - 58 \, q^{7} t^{4} - 124 \, q^{6} t^{5} - 10 \, q^{5} t^{6} + q^{10} + 12 \, q^{9} t - 18 \, q^{8} t^{2} + 346 \, q^{7} t^{3} + 105 \, q^{6} t^{4} + 270 \, q^{5} t^{5} + 40 \, q^{4} t^{6} - 70 \, q^{8} t - 2 \, q^{7} t^{2} - 576 \, q^{6} t^{3} - 320 \, q^{5} t^{4} - 214 \, q^{4} t^{5} - 78 \, q^{3} t^{6} + 78 \, q^{7} t + 214 \, q^{6} t^{2} + 320 \, q^{5} t^{3} + 576 \, q^{4} t^{4} + 2 \, q^{3} t^{5} + 70 \, q^{2} t^{6} - 40 \, q^{6} t - 270 \, q^{5} t^{2} - 105 \, q^{4} t^{3} - 346 \, q^{3} t^{4} + 18 \, q^{2} t^{5} - 12 \, q t^{6} - t^{7} + 10 \, q^{5} t + 124 \, q^{4} t^{2} + 58 \, q^{3} t^{3} + 56 \, q^{2} t^{4} + 8 \, q t^{5} - 4 \, t^{6} - q^{4} t - 20 \, q^{3} t^{2} - 18 \, q^{2} t^{3} + 4 \, q t^{4} - t^{5}}{{\left(q - t\right)}^{4} q^{6} {\left(t - 1\right)}^{4}}\) |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
3 edges: | [[2, 5], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle -\frac{q^{10} t - 4 \, q^{9} t^{2} - 44 \, q^{8} t^{3} - 24 \, q^{7} t^{4} - q^{6} t^{5} + q^{10} + 22 \, q^{9} t + 38 \, q^{8} t^{2} + 200 \, q^{7} t^{3} + 161 \, q^{6} t^{4} + 10 \, q^{5} t^{5} - 78 \, q^{8} t - 212 \, q^{7} t^{2} - 342 \, q^{6} t^{3} - 408 \, q^{5} t^{4} - 40 \, q^{4} t^{5} + 80 \, q^{7} t + 464 \, q^{6} t^{2} + 352 \, q^{5} t^{3} + 464 \, q^{4} t^{4} + 80 \, q^{3} t^{5} - 40 \, q^{6} t - 408 \, q^{5} t^{2} - 342 \, q^{4} t^{3} - 212 \, q^{3} t^{4} - 78 \, q^{2} t^{5} + 10 \, q^{5} t + 161 \, q^{4} t^{2} + 200 \, q^{3} t^{3} + 38 \, q^{2} t^{4} + 22 \, q t^{5} + t^{6} - q^{4} t - 24 \, q^{3} t^{2} - 44 \, q^{2} t^{3} - 4 \, q t^{4} + t^{5}}{{\left(q - t\right)}^{4} q^{6} {\left(t - 1\right)}^{3}}\) |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
4 edges: | [[1, 5], [2, 5], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{10} + 26 \, q^{9} t + 66 \, q^{8} t^{2} + 26 \, q^{7} t^{3} + q^{6} t^{4} - 80 \, q^{8} t - 330 \, q^{7} t^{2} - 180 \, q^{6} t^{3} - 10 \, q^{5} t^{4} + 80 \, q^{7} t + 600 \, q^{6} t^{2} + 480 \, q^{5} t^{3} + 40 \, q^{4} t^{4} - 40 \, q^{6} t - 480 \, q^{5} t^{2} - 600 \, q^{4} t^{3} - 80 \, q^{3} t^{4} + 10 \, q^{5} t + 180 \, q^{4} t^{2} + 330 \, q^{3} t^{3} + 80 \, q^{2} t^{4} - q^{4} t - 26 \, q^{3} t^{2} - 66 \, q^{2} t^{3} - 26 \, q t^{4} - t^{5}}{{\left(q - t\right)}^{4} q^{6} {\left(t - 1\right)}^{2}}\) |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
5 edges: | [[0, 5], [1, 5], [2, 5], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle -\frac{q^{6} t^{3} + 11 \, q^{6} t^{2} - 6 \, q^{5} t^{3} + 11 \, q^{6} t - 42 \, q^{5} t^{2} + 12 \, q^{4} t^{3} + q^{6} - 24 \, q^{5} t + 48 \, q^{4} t^{2} - 10 \, q^{3} t^{3} + 12 \, q^{4} t - 28 \, q^{3} t^{2} + 12 \, q^{2} t^{3} - 10 \, q^{3} t + 48 \, q^{2} t^{2} - 24 \, q t^{3} + t^{4} + 12 \, q^{2} t - 42 \, q t^{2} + 11 \, t^{3} - 6 \, q t + 11 \, t^{2} + t}{q^{6} {\left(t - 1\right)}^{5}}\) |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
3 edges: | [[3, 4], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle -\frac{q^{6} t^{3} + 11 \, q^{6} t^{2} - 4 \, q^{5} t^{3} + 11 \, q^{6} t - 28 \, q^{5} t^{2} + q^{6} - 16 \, q^{5} t - 12 \, q^{4} t^{2} + 16 \, q^{3} t^{3} - 12 \, q^{4} t + 64 \, q^{3} t^{2} - 12 \, q^{2} t^{3} + 16 \, q^{3} t - 12 \, q^{2} t^{2} - 16 \, q t^{3} + t^{4} - 28 \, q t^{2} + 11 \, t^{3} - 4 \, q t + 11 \, t^{2} + t}{q^{6} {\left(t - 1\right)}^{5}}\) |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
2 edges: | [[2, 5], [3, 4]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{10} t^{2} - 4 \, q^{9} t^{3} + 12 \, q^{8} t^{4} + 4 \, q^{7} t^{5} - q^{6} t^{6} + 4 \, q^{10} t - 12 \, q^{9} t^{2} - 16 \, q^{8} t^{3} - 20 \, q^{7} t^{4} - 44 \, q^{6} t^{5} + 4 \, q^{5} t^{6} + q^{10} + 4 \, q^{9} t - 12 \, q^{8} t^{2} + 168 \, q^{7} t^{3} - 31 \, q^{6} t^{4} + 120 \, q^{5} t^{5} + 2 \, q^{4} t^{6} - 38 \, q^{8} t + 36 \, q^{7} t^{2} - 262 \, q^{6} t^{3} - 40 \, q^{5} t^{4} - 88 \, q^{4} t^{5} - 28 \, q^{3} t^{6} + 28 \, q^{7} t + 88 \, q^{6} t^{2} + 40 \, q^{5} t^{3} + 262 \, q^{4} t^{4} - 36 \, q^{3} t^{5} + 38 \, q^{2} t^{6} - 2 \, q^{6} t - 120 \, q^{5} t^{2} + 31 \, q^{4} t^{3} - 168 \, q^{3} t^{4} + 12 \, q^{2} t^{5} - 4 \, q t^{6} - t^{7} - 4 \, q^{5} t + 44 \, q^{4} t^{2} + 20 \, q^{3} t^{3} + 16 \, q^{2} t^{4} + 12 \, q t^{5} - 4 \, t^{6} + q^{4} t - 4 \, q^{3} t^{2} - 12 \, q^{2} t^{3} + 4 \, q t^{4} - t^{5}}{{\left(q - t\right)}^{4} q^{6} {\left(t - 1\right)}^{4}}\) |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
3 edges: | [[2, 5], [3, 4], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{9} t^{2} - 3 \, q^{8} t^{3} + 5 \, q^{7} t^{4} + q^{6} t^{5} + 4 \, q^{9} t - 12 \, q^{8} t^{2} + 4 \, q^{7} t^{3} - 10 \, q^{6} t^{4} - 6 \, q^{5} t^{5} + q^{9} - 3 \, q^{8} t + 5 \, q^{7} t^{2} + 35 \, q^{6} t^{3} - 12 \, q^{5} t^{4} + 10 \, q^{4} t^{5} - 14 \, q^{7} t + 20 \, q^{6} t^{2} - 46 \, q^{5} t^{3} + 18 \, q^{4} t^{4} + 2 \, q^{3} t^{5} + 2 \, q^{6} t + 18 \, q^{5} t^{2} - 46 \, q^{4} t^{3} + 20 \, q^{3} t^{4} - 14 \, q^{2} t^{5} + 10 \, q^{5} t - 12 \, q^{4} t^{2} + 35 \, q^{3} t^{3} + 5 \, q^{2} t^{4} - 3 \, q t^{5} + t^{6} - 6 \, q^{4} t - 10 \, q^{3} t^{2} + 4 \, q^{2} t^{3} - 12 \, q t^{4} + 4 \, t^{5} + q^{3} t + 5 \, q^{2} t^{2} - 3 \, q t^{3} + t^{4}}{{\left(q - t\right)}^{3} q^{6} {\left(t - 1\right)}^{4}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
4 edges: | [[2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle -\frac{q^{10} t - 4 \, q^{9} t^{2} - 14 \, q^{8} t^{3} + 4 \, q^{7} t^{4} + q^{6} t^{5} + q^{10} + 10 \, q^{9} t + 2 \, q^{8} t^{2} + 60 \, q^{7} t^{3} + 5 \, q^{6} t^{4} - 6 \, q^{5} t^{5} - 32 \, q^{8} t - 32 \, q^{7} t^{2} - 52 \, q^{6} t^{3} - 72 \, q^{5} t^{4} + 8 \, q^{4} t^{5} + 12 \, q^{7} t + 112 \, q^{6} t^{2} - 8 \, q^{5} t^{3} + 112 \, q^{4} t^{4} + 12 \, q^{3} t^{5} + 8 \, q^{6} t - 72 \, q^{5} t^{2} - 52 \, q^{4} t^{3} - 32 \, q^{3} t^{4} - 32 \, q^{2} t^{5} - 6 \, q^{5} t + 5 \, q^{4} t^{2} + 60 \, q^{3} t^{3} + 2 \, q^{2} t^{4} + 10 \, q t^{5} + t^{6} + q^{4} t + 4 \, q^{3} t^{2} - 14 \, q^{2} t^{3} - 4 \, q t^{4} + t^{5}}{{\left(q - t\right)}^{4} q^{6} {\left(t - 1\right)}^{3}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
4 edges: | [[1, 5], [2, 5], [3, 4], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle -\frac{q^{9} t - 3 \, q^{8} t^{2} - 9 \, q^{7} t^{3} - q^{6} t^{4} + q^{9} + 7 \, q^{8} t + 3 \, q^{7} t^{2} + 31 \, q^{6} t^{3} + 6 \, q^{5} t^{4} - 22 \, q^{7} t - 10 \, q^{6} t^{2} - 18 \, q^{5} t^{3} - 10 \, q^{4} t^{4} + 4 \, q^{6} t + 24 \, q^{5} t^{2} - 24 \, q^{4} t^{3} - 4 \, q^{3} t^{4} + 10 \, q^{5} t + 18 \, q^{4} t^{2} + 10 \, q^{3} t^{3} + 22 \, q^{2} t^{4} - 6 \, q^{4} t - 31 \, q^{3} t^{2} - 3 \, q^{2} t^{3} - 7 \, q t^{4} - t^{5} + q^{3} t + 9 \, q^{2} t^{2} + 3 \, q t^{3} - t^{4}}{{\left(q - t\right)}^{3} q^{6} {\left(t - 1\right)}^{3}}\) |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
5 edges: | [[1, 5], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{10} + 12 \, q^{9} t + 8 \, q^{8} t^{2} - 8 \, q^{7} t^{3} - q^{6} t^{4} - 28 \, q^{8} t - 58 \, q^{7} t^{2} + 20 \, q^{6} t^{3} + 6 \, q^{5} t^{4} + 6 \, q^{7} t + 98 \, q^{6} t^{2} + 26 \, q^{5} t^{3} - 10 \, q^{4} t^{4} + 10 \, q^{6} t - 26 \, q^{5} t^{2} - 98 \, q^{4} t^{3} - 6 \, q^{3} t^{4} - 6 \, q^{5} t - 20 \, q^{4} t^{2} + 58 \, q^{3} t^{3} + 28 \, q^{2} t^{4} + q^{4} t + 8 \, q^{3} t^{2} - 8 \, q^{2} t^{3} - 12 \, q t^{4} - t^{5}}{{\left(q - t\right)}^{4} q^{6} {\left(t - 1\right)}^{2}}\) |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
5 edges: | [[0, 5], [1, 5], [2, 5], [3, 4], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{9} + 11 \, q^{8} t + 11 \, q^{7} t^{2} + q^{6} t^{3} - 24 \, q^{7} t - 42 \, q^{6} t^{2} - 6 \, q^{5} t^{3} + 4 \, q^{6} t + 34 \, q^{5} t^{2} + 10 \, q^{4} t^{3} + 10 \, q^{5} t + 34 \, q^{4} t^{2} + 4 \, q^{3} t^{3} - 6 \, q^{4} t - 42 \, q^{3} t^{2} - 24 \, q^{2} t^{3} + q^{3} t + 11 \, q^{2} t^{2} + 11 \, q t^{3} + t^{4}}{{\left(q - t\right)}^{3} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
6 edges: | [[0, 5], [1, 5], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{12} t^{2} + 4 \, q^{12} t - 4 \, q^{11} t^{2} - 3 \, q^{10} t^{3} + q^{12} - 8 \, q^{11} t + 12 \, q^{9} t^{3} + 7 \, q^{8} t^{4} + 15 \, q^{10} t - 24 \, q^{9} t^{2} - 36 \, q^{8} t^{3} - 20 \, q^{7} t^{4} + 3 \, q^{6} t^{5} - 48 \, q^{9} t + 71 \, q^{8} t^{2} + 144 \, q^{7} t^{3} + 16 \, q^{6} t^{4} - 20 \, q^{5} t^{5} + 48 \, q^{8} t - 32 \, q^{7} t^{2} - 254 \, q^{6} t^{3} - 32 \, q^{5} t^{4} + 48 \, q^{4} t^{5} - 20 \, q^{7} t + 16 \, q^{6} t^{2} + 144 \, q^{5} t^{3} + 71 \, q^{4} t^{4} - 48 \, q^{3} t^{5} + 3 \, q^{6} t - 20 \, q^{5} t^{2} - 36 \, q^{4} t^{3} - 24 \, q^{3} t^{4} + 15 \, q^{2} t^{5} + 7 \, q^{4} t^{2} + 12 \, q^{3} t^{3} - 8 \, q t^{5} + t^{6} - 3 \, q^{2} t^{3} - 4 \, q t^{4} + 4 \, t^{5} + t^{4}}{{\left(q^{2} - t\right)}^{3} q^{6} {\left(t - 1\right)}^{4}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
4 edges: | [[2, 4], [2, 5], [3, 4], [3, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{12} t^{2} + 4 \, q^{12} t - 4 \, q^{11} t^{2} - 3 \, q^{10} t^{3} + q^{12} - 8 \, q^{11} t - 4 \, q^{10} t^{2} + 12 \, q^{9} t^{3} + 5 \, q^{8} t^{4} + 7 \, q^{10} t - 18 \, q^{8} t^{3} - 16 \, q^{7} t^{4} + q^{6} t^{5} - 24 \, q^{9} t + 33 \, q^{8} t^{2} + 60 \, q^{7} t^{3} + 12 \, q^{6} t^{4} - 8 \, q^{5} t^{5} + 22 \, q^{8} t - 12 \, q^{7} t^{2} - 122 \, q^{6} t^{3} - 12 \, q^{5} t^{4} + 22 \, q^{4} t^{5} - 8 \, q^{7} t + 12 \, q^{6} t^{2} + 60 \, q^{5} t^{3} + 33 \, q^{4} t^{4} - 24 \, q^{3} t^{5} + q^{6} t - 16 \, q^{5} t^{2} - 18 \, q^{4} t^{3} + 7 \, q^{2} t^{5} + 5 \, q^{4} t^{2} + 12 \, q^{3} t^{3} - 4 \, q^{2} t^{4} - 8 \, q t^{5} + t^{6} - 3 \, q^{2} t^{3} - 4 \, q t^{4} + 4 \, t^{5} + t^{4}}{{\left(q^{2} - t\right)}^{3} q^{6} {\left(t - 1\right)}^{4}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
5 edges: | [[2, 4], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle -\frac{q^{14} t - 4 \, q^{13} t^{2} - 6 \, q^{12} t^{3} + 4 \, q^{11} t^{4} - q^{10} t^{5} + q^{14} + 6 \, q^{13} t - 6 \, q^{12} t^{2} + 44 \, q^{11} t^{3} + 11 \, q^{10} t^{4} - 10 \, q^{9} t^{5} + 2 \, q^{8} t^{6} - 20 \, q^{12} t - 18 \, q^{11} t^{2} - 25 \, q^{10} t^{3} - 120 \, q^{9} t^{4} + 12 \, q^{8} t^{5} + 2 \, q^{7} t^{6} + q^{6} t^{7} - 6 \, q^{11} t + 113 \, q^{10} t^{2} + 12 \, q^{9} t^{3} + 112 \, q^{8} t^{4} + 122 \, q^{7} t^{5} - 9 \, q^{6} t^{6} - 8 \, q^{5} t^{7} + 18 \, q^{10} t - 52 \, q^{9} t^{2} - 204 \, q^{8} t^{3} + 56 \, q^{7} t^{4} - 204 \, q^{6} t^{5} - 52 \, q^{5} t^{6} + 18 \, q^{4} t^{7} - 8 \, q^{9} t - 9 \, q^{8} t^{2} + 122 \, q^{7} t^{3} + 112 \, q^{6} t^{4} + 12 \, q^{5} t^{5} + 113 \, q^{4} t^{6} - 6 \, q^{3} t^{7} + q^{8} t + 2 \, q^{7} t^{2} + 12 \, q^{6} t^{3} - 120 \, q^{5} t^{4} - 25 \, q^{4} t^{5} - 18 \, q^{3} t^{6} - 20 \, q^{2} t^{7} + 2 \, q^{6} t^{2} - 10 \, q^{5} t^{3} + 11 \, q^{4} t^{4} + 44 \, q^{3} t^{5} - 6 \, q^{2} t^{6} + 6 \, q t^{7} + t^{8} - q^{4} t^{3} + 4 \, q^{3} t^{4} - 6 \, q^{2} t^{5} - 4 \, q t^{6} + t^{7}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{4} q^{6} {\left(t - 1\right)}^{3}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
4 edges: | [[1, 5], [2, 4], [3, 4], [3, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle -\frac{q^{13} t - 3 \, q^{12} t^{2} - 3 \, q^{11} t^{3} + q^{10} t^{4} + q^{13} + 3 \, q^{12} t - 3 \, q^{11} t^{2} + 17 \, q^{10} t^{3} + 8 \, q^{9} t^{4} - 2 \, q^{8} t^{5} - 10 \, q^{11} t - 4 \, q^{10} t^{2} + q^{9} t^{3} - 39 \, q^{8} t^{4} - 3 \, q^{7} t^{5} - q^{6} t^{6} - 14 \, q^{10} t + 39 \, q^{9} t^{2} - 9 \, q^{8} t^{3} + 3 \, q^{7} t^{4} + 29 \, q^{6} t^{5} + 8 \, q^{5} t^{6} + 20 \, q^{9} t + 16 \, q^{8} t^{2} - 68 \, q^{7} t^{3} + 68 \, q^{6} t^{4} - 16 \, q^{5} t^{5} - 20 \, q^{4} t^{6} - 8 \, q^{8} t - 29 \, q^{7} t^{2} - 3 \, q^{6} t^{3} + 9 \, q^{5} t^{4} - 39 \, q^{4} t^{5} + 14 \, q^{3} t^{6} + q^{7} t + 3 \, q^{6} t^{2} + 39 \, q^{5} t^{3} - q^{4} t^{4} + 4 \, q^{3} t^{5} + 10 \, q^{2} t^{6} + 2 \, q^{5} t^{2} - 8 \, q^{4} t^{3} - 17 \, q^{3} t^{4} + 3 \, q^{2} t^{5} - 3 \, q t^{6} - t^{7} - q^{3} t^{3} + 3 \, q^{2} t^{4} + 3 \, q t^{5} - t^{6}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{3} q^{6} {\left(t - 1\right)}^{3}}\) |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
5 edges: | [[1, 5], [2, 4], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle -\frac{q^{14} t - 2 \, q^{13} t^{2} - q^{12} t^{3} + q^{14} - 2 \, q^{12} t^{2} + 6 \, q^{11} t^{3} + 3 \, q^{10} t^{4} - q^{12} t - 4 \, q^{11} t^{2} + 10 \, q^{10} t^{3} - 2 \, q^{9} t^{4} - 5 \, q^{8} t^{5} - 22 \, q^{11} t + 29 \, q^{10} t^{2} - 18 \, q^{9} t^{3} - 44 \, q^{8} t^{4} + 14 \, q^{7} t^{5} - q^{6} t^{6} + 22 \, q^{10} t + 10 \, q^{9} t^{2} - 9 \, q^{8} t^{3} + 66 \, q^{7} t^{4} + q^{6} t^{5} + 8 \, q^{5} t^{6} - 8 \, q^{9} t - q^{8} t^{2} - 66 \, q^{7} t^{3} + 9 \, q^{6} t^{4} - 10 \, q^{5} t^{5} - 22 \, q^{4} t^{6} + q^{8} t - 14 \, q^{7} t^{2} + 44 \, q^{6} t^{3} + 18 \, q^{5} t^{4} - 29 \, q^{4} t^{5} + 22 \, q^{3} t^{6} + 5 \, q^{6} t^{2} + 2 \, q^{5} t^{3} - 10 \, q^{4} t^{4} + 4 \, q^{3} t^{5} + q^{2} t^{6} - 3 \, q^{4} t^{3} - 6 \, q^{3} t^{4} + 2 \, q^{2} t^{5} - t^{7} + q^{2} t^{4} + 2 \, q t^{5} - t^{6}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{2} q^{6} {\left(t - 1\right)}^{3}}\) |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
6 edges: | [[1, 5], [2, 4], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle -\frac{q^{10} t - 2 \, q^{9} t^{2} - 3 \, q^{8} t^{3} + q^{10} + 6 \, q^{9} t + 2 \, q^{7} t^{3} - q^{6} t^{4} - 13 \, q^{8} t - 6 \, q^{7} t^{2} + 27 \, q^{6} t^{3} + 8 \, q^{5} t^{4} - 12 \, q^{7} t + 8 \, q^{6} t^{2} - 36 \, q^{5} t^{3} - 20 \, q^{4} t^{4} + 20 \, q^{6} t + 36 \, q^{5} t^{2} - 8 \, q^{4} t^{3} + 12 \, q^{3} t^{4} - 8 \, q^{5} t - 27 \, q^{4} t^{2} + 6 \, q^{3} t^{3} + 13 \, q^{2} t^{4} + q^{4} t - 2 \, q^{3} t^{2} - 6 \, q t^{4} - t^{5} + 3 \, q^{2} t^{2} + 2 \, q t^{3} - t^{4}}{{\left(q^{2} - t\right)} {\left(q - t\right)}^{2} q^{6} {\left(t - 1\right)}^{3}}\) |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
4 edges: | [[0, 5], [1, 5], [2, 4], [3, 4]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{12} + 8 \, q^{11} t - 4 \, q^{9} t^{3} + 3 \, q^{8} t^{4} - 15 \, q^{10} t - 36 \, q^{9} t^{2} + 6 \, q^{8} t^{3} - 4 \, q^{7} t^{4} + q^{6} t^{5} - 12 \, q^{9} t + 78 \, q^{8} t^{2} + 72 \, q^{7} t^{3} - 10 \, q^{6} t^{4} - 8 \, q^{5} t^{5} + 20 \, q^{8} t - 16 \, q^{7} t^{2} - 168 \, q^{6} t^{3} - 16 \, q^{5} t^{4} + 20 \, q^{4} t^{5} - 8 \, q^{7} t - 10 \, q^{6} t^{2} + 72 \, q^{5} t^{3} + 78 \, q^{4} t^{4} - 12 \, q^{3} t^{5} + q^{6} t - 4 \, q^{5} t^{2} + 6 \, q^{4} t^{3} - 36 \, q^{3} t^{4} - 15 \, q^{2} t^{5} + 3 \, q^{4} t^{2} - 4 \, q^{3} t^{3} + 8 \, q t^{5} + t^{6}}{{\left(q^{2} - t\right)} {\left(q - t\right)}^{4} q^{6} {\left(t - 1\right)}^{2}}\) |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
5 edges: | [[0, 5], [1, 5], [2, 4], [3, 4], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{13} + 5 \, q^{12} t - q^{11} t^{2} - q^{10} t^{3} - 6 \, q^{11} t - 14 \, q^{10} t^{2} - 4 \, q^{9} t^{3} + 4 \, q^{8} t^{4} - 20 \, q^{10} t + 17 \, q^{9} t^{2} + 45 \, q^{8} t^{3} - 7 \, q^{7} t^{4} + q^{6} t^{5} + 22 \, q^{9} t + 38 \, q^{8} t^{2} - 50 \, q^{7} t^{3} - 22 \, q^{6} t^{4} - 8 \, q^{5} t^{5} - 8 \, q^{8} t - 22 \, q^{7} t^{2} - 50 \, q^{6} t^{3} + 38 \, q^{5} t^{4} + 22 \, q^{4} t^{5} + q^{7} t - 7 \, q^{6} t^{2} + 45 \, q^{5} t^{3} + 17 \, q^{4} t^{4} - 20 \, q^{3} t^{5} + 4 \, q^{5} t^{2} - 4 \, q^{4} t^{3} - 14 \, q^{3} t^{4} - 6 \, q^{2} t^{5} - q^{3} t^{3} - q^{2} t^{4} + 5 \, q t^{5} + t^{6}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{3} q^{6} {\left(t - 1\right)}^{2}}\) |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
6 edges: | [[0, 5], [1, 5], [2, 4], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{14} + 4 \, q^{13} t + q^{12} t^{2} - 3 \, q^{12} t - 12 \, q^{11} t^{2} - 3 \, q^{10} t^{3} - 22 \, q^{11} t + q^{10} t^{2} + 4 \, q^{9} t^{3} + 5 \, q^{8} t^{4} + 22 \, q^{10} t + 48 \, q^{9} t^{2} + 55 \, q^{8} t^{3} - 12 \, q^{7} t^{4} + q^{6} t^{5} - 8 \, q^{9} t - 16 \, q^{8} t^{2} - 132 \, q^{7} t^{3} - 16 \, q^{6} t^{4} - 8 \, q^{5} t^{5} + q^{8} t - 12 \, q^{7} t^{2} + 55 \, q^{6} t^{3} + 48 \, q^{5} t^{4} + 22 \, q^{4} t^{5} + 5 \, q^{6} t^{2} + 4 \, q^{5} t^{3} + q^{4} t^{4} - 22 \, q^{3} t^{5} - 3 \, q^{4} t^{3} - 12 \, q^{3} t^{4} - 3 \, q^{2} t^{5} + q^{2} t^{4} + 4 \, q t^{5} + t^{6}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{2} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
7 edges: | [[0, 5], [1, 5], [2, 4], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle -\frac{q^{18} t + q^{18} - 2 \, q^{17} t - 3 \, q^{16} t^{2} + 9 \, q^{16} t - 2 \, q^{15} t^{2} - 9 \, q^{14} t^{3} - 28 \, q^{15} t + 17 \, q^{14} t^{2} + 48 \, q^{13} t^{3} - q^{12} t^{4} + 14 \, q^{14} t - 56 \, q^{13} t^{2} - 56 \, q^{12} t^{3} + 26 \, q^{11} t^{4} + 148 \, q^{12} t^{2} + 6 \, q^{11} t^{3} - 111 \, q^{10} t^{4} + 2 \, q^{9} t^{5} - q^{12} t - 110 \, q^{11} t^{2} + 26 \, q^{10} t^{3} + 136 \, q^{9} t^{4} - 29 \, q^{8} t^{5} + 29 \, q^{10} t^{2} - 136 \, q^{9} t^{3} - 26 \, q^{8} t^{4} + 110 \, q^{7} t^{5} + q^{6} t^{6} - 2 \, q^{9} t^{2} + 111 \, q^{8} t^{3} - 6 \, q^{7} t^{4} - 148 \, q^{6} t^{5} - 26 \, q^{7} t^{3} + 56 \, q^{6} t^{4} + 56 \, q^{5} t^{5} - 14 \, q^{4} t^{6} + q^{6} t^{3} - 48 \, q^{5} t^{4} - 17 \, q^{4} t^{5} + 28 \, q^{3} t^{6} + 9 \, q^{4} t^{4} + 2 \, q^{3} t^{5} - 9 \, q^{2} t^{6} + 3 \, q^{2} t^{5} + 2 \, q t^{6} - t^{7} - t^{6}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{3} q^{6} {\left(t - 1\right)}^{3}}\) |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
6 edges: | [[1, 4], [1, 5], [2, 4], [2, 5], [3, 4], [3, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle -\frac{q^{12} t + q^{12} - 2 \, q^{11} t - 3 \, q^{10} t^{2} + 9 \, q^{10} t - 9 \, q^{8} t^{3} - 30 \, q^{9} t + 15 \, q^{8} t^{2} + 42 \, q^{7} t^{3} - q^{6} t^{4} + 24 \, q^{8} t - 30 \, q^{7} t^{2} - 61 \, q^{6} t^{3} + 8 \, q^{5} t^{4} - 8 \, q^{7} t + 61 \, q^{6} t^{2} + 30 \, q^{5} t^{3} - 24 \, q^{4} t^{4} + q^{6} t - 42 \, q^{5} t^{2} - 15 \, q^{4} t^{3} + 30 \, q^{3} t^{4} + 9 \, q^{4} t^{2} - 9 \, q^{2} t^{4} + 3 \, q^{2} t^{3} + 2 \, q t^{4} - t^{5} - t^{4}}{{\left(q^{2} - t\right)}^{3} q^{6} {\left(t - 1\right)}^{3}}\) |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
7 edges: | [[1, 4], [1, 5], [2, 4], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{14} + 2 \, q^{13} t - q^{12} t^{2} + 5 \, q^{12} t - 6 \, q^{11} t^{2} - 3 \, q^{10} t^{3} - 32 \, q^{11} t - 5 \, q^{10} t^{2} + 14 \, q^{9} t^{3} + 7 \, q^{8} t^{4} + 26 \, q^{10} t + 40 \, q^{9} t^{2} + 27 \, q^{8} t^{3} - 26 \, q^{7} t^{4} + q^{6} t^{5} - 8 \, q^{9} t + 6 \, q^{8} t^{2} - 96 \, q^{7} t^{3} + 6 \, q^{6} t^{4} - 8 \, q^{5} t^{5} + q^{8} t - 26 \, q^{7} t^{2} + 27 \, q^{6} t^{3} + 40 \, q^{5} t^{4} + 26 \, q^{4} t^{5} + 7 \, q^{6} t^{2} + 14 \, q^{5} t^{3} - 5 \, q^{4} t^{4} - 32 \, q^{3} t^{5} - 3 \, q^{4} t^{3} - 6 \, q^{3} t^{4} + 5 \, q^{2} t^{5} - q^{2} t^{4} + 2 \, q t^{5} + t^{6}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{2} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
6 edges: | [[0, 5], [1, 4], [2, 4], [2, 5], [3, 4], [3, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{14} + 2 \, q^{13} t - q^{12} t^{2} + 3 \, q^{12} t - 6 \, q^{11} t^{2} - 3 \, q^{10} t^{3} - 28 \, q^{11} t + 3 \, q^{10} t^{2} + 14 \, q^{9} t^{3} + 7 \, q^{8} t^{4} + 24 \, q^{10} t + 24 \, q^{9} t^{2} + 15 \, q^{8} t^{3} - 26 \, q^{7} t^{4} + q^{6} t^{5} - 8 \, q^{9} t + 14 \, q^{8} t^{2} - 72 \, q^{7} t^{3} + 14 \, q^{6} t^{4} - 8 \, q^{5} t^{5} + q^{8} t - 26 \, q^{7} t^{2} + 15 \, q^{6} t^{3} + 24 \, q^{5} t^{4} + 24 \, q^{4} t^{5} + 7 \, q^{6} t^{2} + 14 \, q^{5} t^{3} + 3 \, q^{4} t^{4} - 28 \, q^{3} t^{5} - 3 \, q^{4} t^{3} - 6 \, q^{3} t^{4} + 3 \, q^{2} t^{5} - q^{2} t^{4} + 2 \, q t^{5} + t^{6}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{2} q^{6} {\left(t - 1\right)}^{2}}\) |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
7 edges: | [[0, 5], [1, 4], [2, 4], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{16} + q^{15} t + 7 \, q^{14} t - 3 \, q^{13} t^{2} - 29 \, q^{13} t + 2 \, q^{12} t^{2} - 9 \, q^{11} t^{3} + 20 \, q^{12} t - 27 \, q^{11} t^{2} + 44 \, q^{10} t^{3} - q^{9} t^{4} - 6 \, q^{11} t + 100 \, q^{10} t^{2} - 45 \, q^{9} t^{3} + 17 \, q^{8} t^{4} + q^{10} t - 73 \, q^{9} t^{2} - 73 \, q^{7} t^{4} + q^{6} t^{5} + 17 \, q^{8} t^{2} - 45 \, q^{7} t^{3} + 100 \, q^{6} t^{4} - 6 \, q^{5} t^{5} - q^{7} t^{2} + 44 \, q^{6} t^{3} - 27 \, q^{5} t^{4} + 20 \, q^{4} t^{5} - 9 \, q^{5} t^{3} + 2 \, q^{4} t^{4} - 29 \, q^{3} t^{5} - 3 \, q^{3} t^{4} + 7 \, q^{2} t^{5} + q t^{5} + t^{6}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{3} {\left(q - t\right)} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
7 edges: | [[0, 5], [1, 4], [1, 5], [2, 4], [2, 5], [3, 4], [3, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{13} + q^{12} t + 7 \, q^{11} t - 3 \, q^{10} t^{2} - 30 \, q^{10} t + 3 \, q^{9} t^{2} - 9 \, q^{8} t^{3} + 24 \, q^{9} t - 12 \, q^{8} t^{2} + 41 \, q^{7} t^{3} - q^{6} t^{4} - 8 \, q^{8} t + 54 \, q^{7} t^{2} - 54 \, q^{6} t^{3} + 8 \, q^{5} t^{4} + q^{7} t - 41 \, q^{6} t^{2} + 12 \, q^{5} t^{3} - 24 \, q^{4} t^{4} + 9 \, q^{5} t^{2} - 3 \, q^{4} t^{3} + 30 \, q^{3} t^{4} + 3 \, q^{3} t^{3} - 7 \, q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)} q^{6} {\left(t - 1\right)}^{2}}\) |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
8 edges: | [[0, 5], [1, 4], [1, 5], [2, 4], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{16} + 11 \, q^{14} t - 32 \, q^{13} t + 11 \, q^{12} t^{2} + 25 \, q^{12} t - 56 \, q^{11} t^{2} + q^{10} t^{3} - 12 \, q^{11} t + 79 \, q^{10} t^{2} - 8 \, q^{9} t^{3} + 3 \, q^{10} t - 12 \, q^{9} t^{2} + 19 \, q^{8} t^{3} - 19 \, q^{8} t^{2} + 12 \, q^{7} t^{3} - 3 \, q^{6} t^{4} + 8 \, q^{7} t^{2} - 79 \, q^{6} t^{3} + 12 \, q^{5} t^{4} - q^{6} t^{2} + 56 \, q^{5} t^{3} - 25 \, q^{4} t^{4} - 11 \, q^{4} t^{3} + 32 \, q^{3} t^{4} - 11 \, q^{2} t^{4} - t^{5}}{{\left(q^{4} - t\right)} {\left(q^{2} - t\right)}^{3} q^{6} {\left(t - 1\right)}^{2}}\) |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
8 edges: | [[0, 4], [0, 5], [1, 4], [1, 5], [2, 4], [2, 5], [3, 4], [3, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{12} + 11 \, q^{10} t - 32 \, q^{9} t + 11 \, q^{8} t^{2} + 24 \, q^{8} t - 56 \, q^{7} t^{2} + q^{6} t^{3} - 8 \, q^{7} t + 96 \, q^{6} t^{2} - 8 \, q^{5} t^{3} + q^{6} t - 56 \, q^{5} t^{2} + 24 \, q^{4} t^{3} + 11 \, q^{4} t^{2} - 32 \, q^{3} t^{3} + 11 \, q^{2} t^{3} + t^{4}}{{\left(q^{2} - t\right)}^{3} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
9 edges: | [[0, 4], [0, 5], [1, 4], [1, 5], [2, 4], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{14} + 6 \, q^{13} t - 4 \, q^{12} t^{2} + q^{10} t^{4} - 10 \, q^{12} t - 26 \, q^{11} t^{2} + 4 \, q^{10} t^{3} + 8 \, q^{9} t^{4} - 4 \, q^{8} t^{5} - 18 \, q^{11} t + 69 \, q^{10} t^{2} + 72 \, q^{9} t^{3} - 46 \, q^{8} t^{4} + 8 \, q^{7} t^{5} - q^{6} t^{6} + 22 \, q^{10} t - 2 \, q^{9} t^{2} - 164 \, q^{8} t^{3} - 16 \, q^{7} t^{4} + 12 \, q^{6} t^{5} + 8 \, q^{5} t^{6} - 8 \, q^{9} t - 12 \, q^{8} t^{2} + 16 \, q^{7} t^{3} + 164 \, q^{6} t^{4} + 2 \, q^{5} t^{5} - 22 \, q^{4} t^{6} + q^{8} t - 8 \, q^{7} t^{2} + 46 \, q^{6} t^{3} - 72 \, q^{5} t^{4} - 69 \, q^{4} t^{5} + 18 \, q^{3} t^{6} + 4 \, q^{6} t^{2} - 8 \, q^{5} t^{3} - 4 \, q^{4} t^{4} + 26 \, q^{3} t^{5} + 10 \, q^{2} t^{6} - q^{4} t^{3} + 4 \, q^{2} t^{5} - 6 \, q t^{6} - t^{7}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{4} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
5 edges: | [[0, 5], [1, 5], [2, 3], [3, 4], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle -\frac{q^{14} t - 2 \, q^{13} t^{2} - q^{12} t^{3} + q^{14} - 2 \, q^{12} t^{2} + 4 \, q^{11} t^{3} + 3 \, q^{10} t^{4} + 3 \, q^{12} t - 8 \, q^{11} t^{2} + 18 \, q^{10} t^{3} + 4 \, q^{9} t^{4} - 5 \, q^{8} t^{5} - 32 \, q^{11} t + 25 \, q^{10} t^{2} - 16 \, q^{9} t^{3} - 68 \, q^{8} t^{4} + 8 \, q^{7} t^{5} - q^{6} t^{6} + 30 \, q^{10} t + 36 \, q^{9} t^{2} - 17 \, q^{8} t^{3} + 84 \, q^{7} t^{4} + 25 \, q^{6} t^{5} + 10 \, q^{5} t^{6} - 10 \, q^{9} t - 25 \, q^{8} t^{2} - 84 \, q^{7} t^{3} + 17 \, q^{6} t^{4} - 36 \, q^{5} t^{5} - 30 \, q^{4} t^{6} + q^{8} t - 8 \, q^{7} t^{2} + 68 \, q^{6} t^{3} + 16 \, q^{5} t^{4} - 25 \, q^{4} t^{5} + 32 \, q^{3} t^{6} + 5 \, q^{6} t^{2} - 4 \, q^{5} t^{3} - 18 \, q^{4} t^{4} + 8 \, q^{3} t^{5} - 3 \, q^{2} t^{6} - 3 \, q^{4} t^{3} - 4 \, q^{3} t^{4} + 2 \, q^{2} t^{5} - t^{7} + q^{2} t^{4} + 2 \, q t^{5} - t^{6}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{2} q^{6} {\left(t - 1\right)}^{3}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
5 edges: | [[1, 5], [2, 3], [2, 4], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{14} + 4 \, q^{13} t + q^{12} t^{2} - q^{12} t - 10 \, q^{11} t^{2} - 3 \, q^{10} t^{3} - 26 \, q^{11} t - 15 \, q^{10} t^{2} + 5 \, q^{8} t^{4} + 24 \, q^{10} t + 76 \, q^{9} t^{2} + 83 \, q^{8} t^{3} - 10 \, q^{7} t^{4} + q^{6} t^{5} - 8 \, q^{9} t - 32 \, q^{8} t^{2} - 180 \, q^{7} t^{3} - 32 \, q^{6} t^{4} - 8 \, q^{5} t^{5} + q^{8} t - 10 \, q^{7} t^{2} + 83 \, q^{6} t^{3} + 76 \, q^{5} t^{4} + 24 \, q^{4} t^{5} + 5 \, q^{6} t^{2} - 15 \, q^{4} t^{4} - 26 \, q^{3} t^{5} - 3 \, q^{4} t^{3} - 10 \, q^{3} t^{4} - q^{2} t^{5} + q^{2} t^{4} + 4 \, q t^{5} + t^{6}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{2} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
6 edges: | [[0, 5], [1, 5], [2, 3], [2, 4], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{6} t^{2} + 4 \, q^{6} t - 4 \, q^{5} t^{2} + q^{6} - 8 \, q^{5} t + 4 \, q^{4} t^{2} + 2 \, q^{4} t - 2 \, q^{2} t^{2} - 4 \, q^{2} t + 8 \, q t^{2} - t^{3} + 4 \, q t - 4 \, t^{2} - t}{q^{6} {\left(t - 1\right)}^{4}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
6 edges: | [[2, 3], [2, 4], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle -\frac{q^{8} t - 2 \, q^{7} t^{2} - q^{6} t^{3} + q^{8} + q^{6} t^{2} + 2 \, q^{5} t^{3} - 2 \, q^{6} t + 4 \, q^{4} t^{3} - 8 \, q^{5} t + 8 \, q^{4} t^{2} - 8 \, q^{3} t^{3} + 4 \, q^{4} t - 2 \, q^{2} t^{3} + 2 \, q^{3} t + q^{2} t^{2} + t^{4} - q^{2} t - 2 \, q t^{2} + t^{3}}{{\left(q - t\right)}^{2} q^{6} {\left(t - 1\right)}^{3}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
6 edges: | [[1, 5], [2, 3], [2, 4], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle -\frac{q^{8} t - 2 \, q^{7} t^{2} - q^{6} t^{3} + q^{8} + q^{6} t^{2} + 4 \, q^{5} t^{3} - 6 \, q^{6} t + 4 \, q^{5} t^{2} - 4 \, q^{4} t^{3} + 2 \, q^{5} t + 2 \, q^{3} t^{3} - 4 \, q^{4} t + 4 \, q^{3} t^{2} - 6 \, q^{2} t^{3} + 4 \, q^{3} t + q^{2} t^{2} + t^{4} - q^{2} t - 2 \, q t^{2} + t^{3}}{{\left(q - t\right)}^{2} q^{6} {\left(t - 1\right)}^{3}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
7 edges: | [[1, 5], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle -\frac{q^{8} t - 2 \, q^{7} t^{2} - q^{6} t^{3} + q^{8} + 2 \, q^{7} t - q^{6} t^{2} + 4 \, q^{5} t^{3} - 8 \, q^{6} t + 4 \, q^{5} t^{2} - 2 \, q^{4} t^{3} + 4 \, q^{4} t^{2} - 2 \, q^{4} t + 4 \, q^{3} t^{2} - 8 \, q^{2} t^{3} + 4 \, q^{3} t - q^{2} t^{2} + 2 \, q t^{3} + t^{4} - q^{2} t - 2 \, q t^{2} + t^{3}}{{\left(q - t\right)}^{2} q^{6} {\left(t - 1\right)}^{3}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
5 edges: | [[0, 5], [1, 5], [2, 3], [2, 4], [3, 4]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{10} + 4 \, q^{9} t + q^{8} t^{2} - 7 \, q^{8} t - 6 \, q^{7} t^{2} - q^{6} t^{3} - 2 \, q^{7} t + 4 \, q^{5} t^{3} - 2 \, q^{6} t + 16 \, q^{5} t^{2} - 2 \, q^{4} t^{3} + 4 \, q^{5} t - 2 \, q^{3} t^{3} - q^{4} t - 6 \, q^{3} t^{2} - 7 \, q^{2} t^{3} + q^{2} t^{2} + 4 \, q t^{3} + t^{4}}{{\left(q^{2} - t\right)} {\left(q - t\right)}^{2} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
7 edges: | [[0, 5], [1, 5], [2, 3], [2, 4], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{8} + 4 \, q^{7} t + q^{6} t^{2} - 8 \, q^{6} t - 4 \, q^{5} t^{2} + 2 \, q^{5} t + 4 \, q^{4} t^{2} - 4 \, q^{4} t - 2 \, q^{3} t^{2} + 4 \, q^{3} t + 8 \, q^{2} t^{2} - q^{2} t - 4 \, q t^{2} - t^{3}}{{\left(q - t\right)}^{2} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
8 edges: | [[0, 5], [1, 5], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle -\frac{q^{9} t - 3 \, q^{8} t^{2} - 3 \, q^{7} t^{3} + q^{6} t^{4} + q^{9} + 3 \, q^{8} t - q^{7} t^{2} + 15 \, q^{6} t^{3} - 2 \, q^{5} t^{4} - 12 \, q^{7} t + 4 \, q^{6} t^{2} - 10 \, q^{5} t^{3} - 2 \, q^{4} t^{4} + 12 \, q^{5} t^{2} - 12 \, q^{4} t^{3} + 2 \, q^{5} t + 10 \, q^{4} t^{2} - 4 \, q^{3} t^{3} + 12 \, q^{2} t^{4} + 2 \, q^{4} t - 15 \, q^{3} t^{2} + q^{2} t^{3} - 3 \, q t^{4} - t^{5} - q^{3} t + 3 \, q^{2} t^{2} + 3 \, q t^{3} - t^{4}}{{\left(q - t\right)}^{3} q^{6} {\left(t - 1\right)}^{3}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
5 edges: | [[1, 4], [2, 3], [2, 5], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle -\frac{q^{8} t - 2 \, q^{7} t^{2} - q^{6} t^{3} + q^{8} + q^{6} t^{2} + 2 \, q^{5} t^{3} - 2 \, q^{6} t + 4 \, q^{4} t^{3} - 8 \, q^{5} t + 8 \, q^{4} t^{2} - 8 \, q^{3} t^{3} + 4 \, q^{4} t - 2 \, q^{2} t^{3} + 2 \, q^{3} t + q^{2} t^{2} + t^{4} - q^{2} t - 2 \, q t^{2} + t^{3}}{{\left(q - t\right)}^{2} q^{6} {\left(t - 1\right)}^{3}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
6 edges: | [[1, 4], [1, 5], [2, 3], [2, 5], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{6} t^{2} + 4 \, q^{6} t + q^{6} - 6 \, q^{4} t^{2} - 12 \, q^{4} t + 12 \, q^{2} t^{2} + 6 \, q^{2} t - t^{3} - 4 \, t^{2} - t}{q^{6} {\left(t - 1\right)}^{4}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
3 edges: | [[0, 5], [1, 4], [2, 3]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{10} + 6 \, q^{9} t - 4 \, q^{8} t^{2} - 2 \, q^{7} t^{3} + q^{6} t^{4} - 10 \, q^{8} t - 12 \, q^{7} t^{2} + 12 \, q^{6} t^{3} - 10 \, q^{7} t + 38 \, q^{6} t^{2} + 2 \, q^{5} t^{3} - 10 \, q^{4} t^{4} + 10 \, q^{6} t - 2 \, q^{5} t^{2} - 38 \, q^{4} t^{3} + 10 \, q^{3} t^{4} - 12 \, q^{4} t^{2} + 12 \, q^{3} t^{3} + 10 \, q^{2} t^{4} - q^{4} t + 2 \, q^{3} t^{2} + 4 \, q^{2} t^{3} - 6 \, q t^{4} - t^{5}}{{\left(q - t\right)}^{4} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
5 edges: | [[0, 5], [1, 4], [2, 3], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{8} + 4 \, q^{7} t + q^{6} t^{2} - 4 \, q^{6} t - 2 \, q^{5} t^{2} - 8 \, q^{5} t - 4 \, q^{4} t^{2} + 4 \, q^{4} t + 8 \, q^{3} t^{2} + 2 \, q^{3} t + 4 \, q^{2} t^{2} - q^{2} t - 4 \, q t^{2} - t^{3}}{{\left(q - t\right)}^{2} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
7 edges: | [[0, 5], [1, 4], [1, 5], [2, 3], [2, 5], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle -\frac{q^{12} t + q^{12} - 2 \, q^{11} t - 3 \, q^{10} t^{2} + 17 \, q^{10} t - 4 \, q^{9} t^{2} - 17 \, q^{8} t^{3} - 50 \, q^{9} t + 23 \, q^{8} t^{2} + 74 \, q^{7} t^{3} - q^{6} t^{4} + 40 \, q^{8} t - 50 \, q^{7} t^{2} - 101 \, q^{6} t^{3} + 12 \, q^{5} t^{4} - 12 \, q^{7} t + 101 \, q^{6} t^{2} + 50 \, q^{5} t^{3} - 40 \, q^{4} t^{4} + q^{6} t - 74 \, q^{5} t^{2} - 23 \, q^{4} t^{3} + 50 \, q^{3} t^{4} + 17 \, q^{4} t^{2} + 4 \, q^{3} t^{3} - 17 \, q^{2} t^{4} + 3 \, q^{2} t^{3} + 2 \, q t^{4} - t^{5} - t^{4}}{{\left(q^{2} - t\right)}^{3} q^{6} {\left(t - 1\right)}^{3}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
5 edges: | [[1, 4], [1, 5], [2, 3], [2, 5], [3, 4]] |
Zeta functions | |
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ask[#]: | \(\displaystyle -\frac{q^{12} t + q^{12} - 2 \, q^{11} t - 3 \, q^{10} t^{2} + 5 \, q^{10} t + 2 \, q^{9} t^{2} - 3 \, q^{8} t^{3} - 16 \, q^{9} t + 3 \, q^{8} t^{2} + 18 \, q^{7} t^{3} + q^{6} t^{4} + 6 \, q^{8} t - 23 \, q^{6} t^{3} - 2 \, q^{5} t^{4} + 2 \, q^{7} t + 23 \, q^{6} t^{2} - 6 \, q^{4} t^{4} - q^{6} t - 18 \, q^{5} t^{2} - 3 \, q^{4} t^{3} + 16 \, q^{3} t^{4} + 3 \, q^{4} t^{2} - 2 \, q^{3} t^{3} - 5 \, q^{2} t^{4} + 3 \, q^{2} t^{3} + 2 \, q t^{4} - t^{5} - t^{4}}{{\left(q^{2} - t\right)}^{3} q^{6} {\left(t - 1\right)}^{3}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
7 edges: | [[1, 4], [1, 5], [2, 3], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{8} + 4 \, q^{7} t + q^{6} t^{2} - 18 \, q^{5} t - 12 \, q^{4} t^{2} + 12 \, q^{4} t + 18 \, q^{3} t^{2} - q^{2} t - 4 \, q t^{2} - t^{3}}{{\left(q - t\right)}^{2} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
6 edges: | [[0, 5], [1, 4], [2, 3], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle \frac{q^{13} + q^{12} t + 3 \, q^{11} t - 3 \, q^{10} t^{2} - 16 \, q^{10} t - q^{9} t^{2} - 3 \, q^{8} t^{3} + 6 \, q^{9} t + 6 \, q^{8} t^{2} + 19 \, q^{7} t^{3} + q^{6} t^{4} + 2 \, q^{8} t + 24 \, q^{7} t^{2} - 24 \, q^{6} t^{3} - 2 \, q^{5} t^{4} - q^{7} t - 19 \, q^{6} t^{2} - 6 \, q^{5} t^{3} - 6 \, q^{4} t^{4} + 3 \, q^{5} t^{2} + q^{4} t^{3} + 16 \, q^{3} t^{4} + 3 \, q^{3} t^{3} - 3 \, q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
8 edges: | [[0, 5], [1, 4], [1, 5], [2, 3], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{14} + 4 \, q^{13} t - 6 \, q^{12} t^{2} + 4 \, q^{11} t^{3} - q^{10} t^{4} - 6 \, q^{12} t - 16 \, q^{11} t^{2} + 4 \, q^{10} t^{3} + 8 \, q^{9} t^{4} - 4 \, q^{8} t^{5} - 16 \, q^{11} t + 55 \, q^{10} t^{2} + 36 \, q^{9} t^{3} - 46 \, q^{8} t^{4} + 12 \, q^{7} t^{5} + q^{6} t^{6} + 12 \, q^{10} t - 102 \, q^{8} t^{3} + 16 \, q^{7} t^{4} + 4 \, q^{6} t^{5} - 4 \, q^{8} t^{2} - 16 \, q^{7} t^{3} + 102 \, q^{6} t^{4} - 12 \, q^{4} t^{6} - q^{8} t - 12 \, q^{7} t^{2} + 46 \, q^{6} t^{3} - 36 \, q^{5} t^{4} - 55 \, q^{4} t^{5} + 16 \, q^{3} t^{6} + 4 \, q^{6} t^{2} - 8 \, q^{5} t^{3} - 4 \, q^{4} t^{4} + 16 \, q^{3} t^{5} + 6 \, q^{2} t^{6} + q^{4} t^{3} - 4 \, q^{3} t^{4} + 6 \, q^{2} t^{5} - 4 \, q t^{6} - t^{7}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{4} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
5 edges: | [[0, 5], [1, 4], [2, 3], [2, 4], [3, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{12} + 2 \, q^{11} t - q^{10} t^{2} + 4 \, q^{10} t - 4 \, q^{9} t^{2} - 4 \, q^{8} t^{3} - 24 \, q^{9} t - 3 \, q^{8} t^{2} + 18 \, q^{7} t^{3} + q^{6} t^{4} + 14 \, q^{8} t + 24 \, q^{7} t^{2} - 8 \, q^{6} t^{3} + 8 \, q^{6} t^{2} - 24 \, q^{5} t^{3} - 14 \, q^{4} t^{4} - q^{6} t - 18 \, q^{5} t^{2} + 3 \, q^{4} t^{3} + 24 \, q^{3} t^{4} + 4 \, q^{4} t^{2} + 4 \, q^{3} t^{3} - 4 \, q^{2} t^{4} + q^{2} t^{3} - 2 \, q t^{4} - t^{5}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{2} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
6 edges: | [[0, 5], [1, 4], [2, 3], [2, 4], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle -\frac{q^{16} t + q^{16} - 2 \, q^{15} t - 2 \, q^{14} t^{2} + 2 \, q^{14} t - q^{12} t^{3} - 4 \, q^{13} t + 3 \, q^{12} t^{2} + 8 \, q^{11} t^{3} - 12 \, q^{12} t - 4 \, q^{11} t^{2} - 3 \, q^{10} t^{3} + 2 \, q^{9} t^{4} + 12 \, q^{11} t + 30 \, q^{10} t^{2} - 6 \, q^{9} t^{3} - 8 \, q^{8} t^{4} - 3 \, q^{10} t - 6 \, q^{9} t^{2} - 16 \, q^{8} t^{3} - 6 \, q^{7} t^{4} - 3 \, q^{6} t^{5} - 8 \, q^{8} t^{2} - 6 \, q^{7} t^{3} + 30 \, q^{6} t^{4} + 12 \, q^{5} t^{5} + 2 \, q^{7} t^{2} - 3 \, q^{6} t^{3} - 4 \, q^{5} t^{4} - 12 \, q^{4} t^{5} + 8 \, q^{5} t^{3} + 3 \, q^{4} t^{4} - 4 \, q^{3} t^{5} - q^{4} t^{3} + 2 \, q^{2} t^{5} - 2 \, q^{2} t^{4} - 2 \, q t^{5} + t^{6} + t^{5}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} q^{6} {\left(t - 1\right)}^{3}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
7 edges: | [[1, 4], [1, 5], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle -\frac{q^{10} t + q^{10} - 2 \, q^{9} t - 2 \, q^{8} t^{2} + 2 \, q^{8} t + 2 \, q^{7} t^{2} - q^{6} t^{3} - 6 \, q^{7} t + q^{6} t^{2} + 4 \, q^{5} t^{3} - 2 \, q^{6} t + 4 \, q^{5} t^{2} - 2 \, q^{4} t^{3} + 4 \, q^{5} t + q^{4} t^{2} - 6 \, q^{3} t^{3} - q^{4} t + 2 \, q^{3} t^{2} + 2 \, q^{2} t^{3} - 2 \, q^{2} t^{2} - 2 \, q t^{3} + t^{4} + t^{3}}{{\left(q^{2} - t\right)}^{2} q^{6} {\left(t - 1\right)}^{3}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
8 edges: | [[1, 4], [1, 5], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{10} + 2 \, q^{9} t - q^{8} t^{2} - q^{8} t - 2 \, q^{7} t^{2} - q^{6} t^{3} - 8 \, q^{7} t + 2 \, q^{6} t^{2} + 4 \, q^{5} t^{3} + 8 \, q^{5} t^{2} + 4 \, q^{5} t + 2 \, q^{4} t^{2} - 8 \, q^{3} t^{3} - q^{4} t - 2 \, q^{3} t^{2} - q^{2} t^{3} - q^{2} t^{2} + 2 \, q t^{3} + t^{4}}{{\left(q^{2} - t\right)} {\left(q - t\right)}^{2} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
7 edges: | [[0, 5], [1, 4], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle \frac{q^{10} + 2 \, q^{9} t - q^{8} t^{2} - 3 \, q^{8} t - 2 \, q^{7} t^{2} - q^{6} t^{3} - 4 \, q^{7} t + 6 \, q^{6} t^{2} + 4 \, q^{5} t^{3} - 2 \, q^{6} t - 2 \, q^{4} t^{3} + 4 \, q^{5} t + 6 \, q^{4} t^{2} - 4 \, q^{3} t^{3} - q^{4} t - 2 \, q^{3} t^{2} - 3 \, q^{2} t^{3} - q^{2} t^{2} + 2 \, q t^{3} + t^{4}}{{\left(q^{2} - t\right)} {\left(q - t\right)}^{2} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
8 edges: | [[0, 5], [1, 4], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle \frac{q^{13} + q^{12} t + q^{11} t - 3 \, q^{10} t^{2} - 10 \, q^{10} t - q^{9} t^{2} - q^{8} t^{3} + 8 \, q^{8} t^{2} + 13 \, q^{7} t^{3} + q^{6} t^{4} + 4 \, q^{8} t + 18 \, q^{7} t^{2} - 18 \, q^{6} t^{3} - 4 \, q^{5} t^{4} - q^{7} t - 13 \, q^{6} t^{2} - 8 \, q^{5} t^{3} + q^{5} t^{2} + q^{4} t^{3} + 10 \, q^{3} t^{4} + 3 \, q^{3} t^{3} - q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
8 edges: | [[0, 5], [1, 4], [1, 5], [2, 3], [2, 4], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{14} + q^{13} t - 2 \, q^{11} t^{2} - 5 \, q^{11} t - q^{9} t^{3} - 6 \, q^{10} t - 2 \, q^{9} t^{2} + 6 \, q^{8} t^{3} + 6 \, q^{9} t + 22 \, q^{8} t^{2} + 3 \, q^{7} t^{3} + q^{6} t^{4} - q^{8} t - 3 \, q^{7} t^{2} - 22 \, q^{6} t^{3} - 6 \, q^{5} t^{4} - 6 \, q^{6} t^{2} + 2 \, q^{5} t^{3} + 6 \, q^{4} t^{4} + q^{5} t^{2} + 5 \, q^{3} t^{4} + 2 \, q^{3} t^{3} - q t^{4} - t^{5}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
8 edges: | [[0, 5], [1, 4], [1, 5], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle \frac{q^{11} + q^{10} t - 2 \, q^{8} t^{2} - 6 \, q^{8} t + q^{7} t^{2} - q^{6} t^{3} - 2 \, q^{7} t + 4 \, q^{6} t^{2} + 4 \, q^{5} t^{3} + 4 \, q^{6} t + 4 \, q^{5} t^{2} - 2 \, q^{4} t^{3} - q^{5} t + q^{4} t^{2} - 6 \, q^{3} t^{3} - 2 \, q^{3} t^{2} + q t^{3} + t^{4}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
9 edges: | [[0, 5], [1, 4], [1, 5], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle \frac{q^{9} + 5 \, q^{8} t - q^{7} t^{2} - q^{6} t^{3} - 8 \, q^{7} t - 6 \, q^{6} t^{2} + 2 \, q^{5} t^{3} - 6 \, q^{6} t + 10 \, q^{5} t^{2} + 4 \, q^{4} t^{3} + 4 \, q^{5} t + 10 \, q^{4} t^{2} - 6 \, q^{3} t^{3} + 2 \, q^{4} t - 6 \, q^{3} t^{2} - 8 \, q^{2} t^{3} - q^{3} t - q^{2} t^{2} + 5 \, q t^{3} + t^{4}}{{\left(q - t\right)}^{3} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
6 edges: | [[0, 4], [1, 5], [2, 3], [2, 5], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{9} + 5 \, q^{8} t - q^{7} t^{2} - q^{6} t^{3} - 10 \, q^{7} t - 6 \, q^{6} t^{2} + 4 \, q^{5} t^{3} + 10 \, q^{5} t^{2} - 2 \, q^{4} t^{3} - 2 \, q^{5} t + 10 \, q^{4} t^{2} + 4 \, q^{4} t - 6 \, q^{3} t^{2} - 10 \, q^{2} t^{3} - q^{3} t - q^{2} t^{2} + 5 \, q t^{3} + t^{4}}{{\left(q - t\right)}^{3} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
6 edges: | [[0, 4], [1, 4], [2, 3], [2, 5], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{12} + 5 \, q^{10} t - 12 \, q^{9} t - q^{8} t^{2} - 8 \, q^{7} t^{2} - q^{6} t^{3} + 4 \, q^{7} t + 24 \, q^{6} t^{2} + 4 \, q^{5} t^{3} - q^{6} t - 8 \, q^{5} t^{2} - q^{4} t^{2} - 12 \, q^{3} t^{3} + 5 \, q^{2} t^{3} + t^{4}}{{\left(q^{2} - t\right)}^{3} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
9 edges: | [[0, 4], [0, 5], [1, 4], [1, 5], [2, 3], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{14} + 4 \, q^{12} t - 8 \, q^{11} t + q^{10} t^{2} - q^{10} t - 4 \, q^{9} t^{2} - 6 \, q^{8} t^{2} + q^{8} t + 24 \, q^{7} t^{2} + q^{6} t^{3} - 6 \, q^{6} t^{2} - 4 \, q^{5} t^{2} - q^{4} t^{3} + q^{4} t^{2} - 8 \, q^{3} t^{3} + 4 \, q^{2} t^{3} + t^{4}}{{\left(q^{4} - t\right)} {\left(q^{2} - t\right)}^{2} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
9 edges: | [[0, 4], [0, 5], [1, 4], [1, 5], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{10} + 4 \, q^{8} t - 8 \, q^{7} t + q^{6} t^{2} - 2 \, q^{6} t - 4 \, q^{5} t^{2} + 4 \, q^{5} t + 2 \, q^{4} t^{2} - q^{4} t + 8 \, q^{3} t^{2} - 4 \, q^{2} t^{2} - t^{3}}{{\left(q^{2} - t\right)}^{2} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
10 edges: | [[0, 4], [0, 5], [1, 4], [1, 5], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{12} + 2 \, q^{11} t - q^{10} t^{2} - 4 \, q^{9} t^{2} - 2 \, q^{8} t^{3} - 14 \, q^{9} t + 3 \, q^{8} t^{2} + 12 \, q^{7} t^{3} + q^{6} t^{4} + 6 \, q^{8} t + 14 \, q^{7} t^{2} - 8 \, q^{6} t^{3} - 2 \, q^{5} t^{4} + 2 \, q^{7} t + 8 \, q^{6} t^{2} - 14 \, q^{5} t^{3} - 6 \, q^{4} t^{4} - q^{6} t - 12 \, q^{5} t^{2} - 3 \, q^{4} t^{3} + 14 \, q^{3} t^{4} + 2 \, q^{4} t^{2} + 4 \, q^{3} t^{3} + q^{2} t^{3} - 2 \, q t^{4} - t^{5}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{2} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
7 edges: | [[0, 5], [1, 3], [2, 4], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{13} + q^{12} t + 3 \, q^{11} t - 3 \, q^{10} t^{2} - 14 \, q^{10} t - 5 \, q^{9} t^{2} - q^{8} t^{3} + 2 \, q^{9} t + 14 \, q^{8} t^{2} + 15 \, q^{7} t^{3} + q^{6} t^{4} + 4 \, q^{8} t + 18 \, q^{7} t^{2} - 18 \, q^{6} t^{3} - 4 \, q^{5} t^{4} - q^{7} t - 15 \, q^{6} t^{2} - 14 \, q^{5} t^{3} - 2 \, q^{4} t^{4} + q^{5} t^{2} + 5 \, q^{4} t^{3} + 14 \, q^{3} t^{4} + 3 \, q^{3} t^{3} - 3 \, q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
7 edges: | [[0, 5], [1, 3], [1, 4], [2, 4], [2, 5], [3, 4], [3, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle -\frac{q^{12} t + q^{12} - 2 \, q^{11} t - 2 \, q^{9} t^{2} + 6 \, q^{9} t - 20 \, q^{8} t + 8 \, q^{7} t^{2} - 3 \, q^{6} t^{3} + 14 \, q^{7} t - 6 \, q^{6} t^{2} + 14 \, q^{5} t^{3} - 3 \, q^{6} t + 8 \, q^{5} t^{2} - 20 \, q^{4} t^{3} + 6 \, q^{3} t^{3} - 2 \, q^{3} t^{2} - 2 \, q t^{3} + t^{4} + t^{3}}{{\left(q^{3} - t\right)}^{2} q^{6} {\left(t - 1\right)}^{3}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
8 edges: | [[1, 3], [1, 4], [1, 5], [2, 3], [2, 4], [2, 5], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{17} + q^{16} t + 2 \, q^{15} t - 2 \, q^{14} t^{2} - 8 \, q^{14} t - 3 \, q^{13} t^{2} - q^{12} t^{3} - 10 \, q^{13} t - 8 \, q^{12} t^{2} + 8 \, q^{11} t^{3} + 12 \, q^{12} t + 49 \, q^{11} t^{2} + 9 \, q^{10} t^{3} + 2 \, q^{9} t^{4} - 3 \, q^{11} t - 15 \, q^{10} t^{2} - 26 \, q^{9} t^{3} - 8 \, q^{8} t^{4} - 8 \, q^{9} t^{2} - 26 \, q^{8} t^{3} - 15 \, q^{7} t^{4} - 3 \, q^{6} t^{5} + 2 \, q^{8} t^{2} + 9 \, q^{7} t^{3} + 49 \, q^{6} t^{4} + 12 \, q^{5} t^{5} + 8 \, q^{6} t^{3} - 8 \, q^{5} t^{4} - 10 \, q^{4} t^{5} - q^{5} t^{3} - 3 \, q^{4} t^{4} - 8 \, q^{3} t^{5} - 2 \, q^{3} t^{4} + 2 \, q^{2} t^{5} + q t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
7 edges: | [[0, 5], [1, 3], [1, 4], [2, 3], [2, 4], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{15} + q^{14} t - q^{13} t - q^{12} t^{2} + 2 \, q^{12} t - 2 \, q^{11} t^{2} - 18 \, q^{11} t - 2 \, q^{10} t^{2} + 14 \, q^{10} t + 17 \, q^{9} t^{2} + 7 \, q^{8} t^{3} - 3 \, q^{9} t + 5 \, q^{8} t^{2} - 5 \, q^{7} t^{3} + 3 \, q^{6} t^{4} - 7 \, q^{7} t^{2} - 17 \, q^{6} t^{3} - 14 \, q^{5} t^{4} + 2 \, q^{5} t^{3} + 18 \, q^{4} t^{4} + 2 \, q^{4} t^{3} - 2 \, q^{3} t^{4} + q^{3} t^{3} + q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} {\left(q - t\right)} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
8 edges: | [[0, 5], [1, 3], [1, 4], [2, 3], [2, 4], [2, 5], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{13} + q^{12} t - 2 \, q^{11} t + 6 \, q^{10} t - 2 \, q^{9} t^{2} - 20 \, q^{9} t + 14 \, q^{8} t + 5 \, q^{7} t^{2} - 3 \, q^{6} t^{3} - 3 \, q^{7} t + 5 \, q^{6} t^{2} + 14 \, q^{5} t^{3} - 20 \, q^{4} t^{3} - 2 \, q^{4} t^{2} + 6 \, q^{3} t^{3} - 2 \, q^{2} t^{3} + q t^{3} + t^{4}}{{\left(q^{3} - t\right)}^{2} {\left(q - t\right)} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
9 edges: | [[0, 5], [1, 3], [1, 4], [1, 5], [2, 3], [2, 4], [2, 5], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle -\frac{q^{12} t + q^{12} - 2 \, q^{11} t - 2 \, q^{9} t^{2} + 2 \, q^{9} t + 2 \, q^{8} t^{2} - 10 \, q^{8} t + 4 \, q^{7} t^{2} - q^{6} t^{3} + 6 \, q^{7} t - 2 \, q^{6} t^{2} + 6 \, q^{5} t^{3} - q^{6} t + 4 \, q^{5} t^{2} - 10 \, q^{4} t^{3} + 2 \, q^{4} t^{2} + 2 \, q^{3} t^{3} - 2 \, q^{3} t^{2} - 2 \, q t^{3} + t^{4} + t^{3}}{{\left(q^{3} - t\right)}^{2} q^{6} {\left(t - 1\right)}^{3}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
9 edges: | [[1, 3], [1, 4], [1, 5], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{12} + q^{11} t - q^{10} t - q^{9} t^{2} - q^{9} t - q^{8} t^{2} - 8 \, q^{8} t + 3 \, q^{7} t^{2} - q^{6} t^{3} + 6 \, q^{7} t + 4 \, q^{6} t^{2} + 6 \, q^{5} t^{3} - q^{6} t + 3 \, q^{5} t^{2} - 8 \, q^{4} t^{3} - q^{4} t^{2} - q^{3} t^{3} - q^{3} t^{2} - q^{2} t^{3} + q t^{3} + t^{4}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)} {\left(q - t\right)} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
9 edges: | [[0, 5], [1, 3], [1, 4], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{13} + q^{12} t - 2 \, q^{11} t + 2 \, q^{10} t - 2 \, q^{9} t^{2} - 10 \, q^{9} t + 2 \, q^{8} t^{2} + 6 \, q^{8} t + 3 \, q^{7} t^{2} - q^{6} t^{3} - q^{7} t + 3 \, q^{6} t^{2} + 6 \, q^{5} t^{3} + 2 \, q^{5} t^{2} - 10 \, q^{4} t^{3} - 2 \, q^{4} t^{2} + 2 \, q^{3} t^{3} - 2 \, q^{2} t^{3} + q t^{3} + t^{4}}{{\left(q^{3} - t\right)}^{2} {\left(q - t\right)} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
10 edges: | [[0, 5], [1, 3], [1, 4], [1, 5], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle \frac{q^{10} + q^{9} t + 2 \, q^{8} t - 5 \, q^{7} t + q^{6} t^{2} - 6 \, q^{6} t - 6 \, q^{5} t^{2} + 6 \, q^{5} t + 6 \, q^{4} t^{2} - q^{4} t + 5 \, q^{3} t^{2} - 2 \, q^{2} t^{2} - q t^{2} - t^{3}}{{\left(q^{3} - t\right)} {\left(q - t\right)} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
8 edges: | [[0, 4], [1, 3], [1, 5], [2, 3], [2, 4], [2, 5], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{12} + 5 \, q^{10} t - 10 \, q^{9} t - 3 \, q^{8} t^{2} - 4 \, q^{8} t - 4 \, q^{7} t^{2} - q^{6} t^{3} + 6 \, q^{7} t + 20 \, q^{6} t^{2} + 6 \, q^{5} t^{3} - q^{6} t - 4 \, q^{5} t^{2} - 4 \, q^{4} t^{3} - 3 \, q^{4} t^{2} - 10 \, q^{3} t^{3} + 5 \, q^{2} t^{3} + t^{4}}{{\left(q^{2} - t\right)}^{3} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
8 edges: | [[0, 4], [0, 5], [1, 3], [1, 5], [2, 3], [2, 4], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{15} + 3 \, q^{13} t - 7 \, q^{12} t - 3 \, q^{11} t^{2} - 6 \, q^{11} t - 5 \, q^{10} t^{2} + q^{9} t^{3} + 6 \, q^{10} t + 26 \, q^{9} t^{2} + q^{8} t^{3} - q^{9} t - 6 \, q^{8} t^{2} + 6 \, q^{7} t^{3} + q^{6} t^{4} - q^{7} t^{2} - 26 \, q^{6} t^{3} - 6 \, q^{5} t^{4} - q^{6} t^{2} + 5 \, q^{5} t^{3} + 6 \, q^{4} t^{4} + 3 \, q^{4} t^{3} + 7 \, q^{3} t^{4} - 3 \, q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{3} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
9 edges: | [[0, 4], [0, 5], [1, 3], [1, 5], [2, 3], [2, 4], [2, 5], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{10} + 4 \, q^{8} t - 6 \, q^{7} t + q^{6} t^{2} - 6 \, q^{6} t - 6 \, q^{5} t^{2} + 6 \, q^{5} t + 6 \, q^{4} t^{2} - q^{4} t + 6 \, q^{3} t^{2} - 4 \, q^{2} t^{2} - t^{3}}{{\left(q^{2} - t\right)}^{2} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
9 edges: | [[0, 4], [0, 5], [1, 3], [1, 5], [2, 3], [2, 4], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{16} + 2 \, q^{14} t + 2 \, q^{13} t - q^{12} t^{2} - 22 \, q^{12} t - 12 \, q^{11} t^{2} + 16 \, q^{11} t + 23 \, q^{10} t^{2} + 2 \, q^{9} t^{3} - 3 \, q^{10} t + 8 \, q^{9} t^{2} + 6 \, q^{8} t^{3} - 6 \, q^{8} t^{2} - 8 \, q^{7} t^{3} + 3 \, q^{6} t^{4} - 2 \, q^{7} t^{2} - 23 \, q^{6} t^{3} - 16 \, q^{5} t^{4} + 12 \, q^{5} t^{3} + 22 \, q^{4} t^{4} + q^{4} t^{3} - 2 \, q^{3} t^{4} - 2 \, q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
8 edges: | [[0, 4], [0, 5], [1, 3], [1, 5], [2, 3], [2, 4], [2, 5], [3, 4]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{13} + 2 \, q^{11} t - 3 \, q^{10} t - q^{9} t^{2} - 8 \, q^{9} t - 2 \, q^{8} t^{2} + 6 \, q^{8} t + 6 \, q^{7} t^{2} - q^{6} t^{3} - q^{7} t + 6 \, q^{6} t^{2} + 6 \, q^{5} t^{3} - 2 \, q^{5} t^{2} - 8 \, q^{4} t^{3} - q^{4} t^{2} - 3 \, q^{3} t^{3} + 2 \, q^{2} t^{3} + t^{4}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{2} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
10 edges: | [[0, 4], [0, 5], [1, 3], [1, 5], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{18} + q^{16} t - 9 \, q^{14} t - 2 \, q^{13} t^{2} + 2 \, q^{13} t - 2 \, q^{12} t^{2} + q^{12} t + 8 \, q^{11} t^{2} - q^{10} t^{3} + 17 \, q^{10} t^{2} + 12 \, q^{9} t^{3} - 12 \, q^{9} t^{2} - 17 \, q^{8} t^{3} + q^{8} t^{2} - 8 \, q^{7} t^{3} - q^{6} t^{4} + 2 \, q^{6} t^{3} - 2 \, q^{5} t^{4} + 2 \, q^{5} t^{3} + 9 \, q^{4} t^{4} - q^{2} t^{4} - t^{5}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
10 edges: | [[0, 4], [0, 5], [1, 3], [1, 4], [1, 5], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{14} + q^{12} t - 10 \, q^{10} t - 2 \, q^{9} t^{2} + 6 \, q^{9} t + q^{8} t^{2} - q^{8} t + 8 \, q^{7} t^{2} - q^{6} t^{3} + q^{6} t^{2} + 6 \, q^{5} t^{3} - 2 \, q^{5} t^{2} - 10 \, q^{4} t^{3} + q^{2} t^{3} + t^{4}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
11 edges: | [[0, 4], [0, 5], [1, 3], [1, 4], [1, 5], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle \frac{q^{12} + 2 \, q^{11} t - q^{10} t^{2} - 2 \, q^{10} t - 4 \, q^{9} t^{2} + 2 \, q^{8} t^{3} - 8 \, q^{9} t + q^{8} t^{2} - 2 \, q^{7} t^{3} + q^{6} t^{4} + 24 \, q^{7} t^{2} + 10 \, q^{6} t^{3} - 4 \, q^{5} t^{4} + 4 \, q^{7} t - 10 \, q^{6} t^{2} - 24 \, q^{5} t^{3} - q^{6} t + 2 \, q^{5} t^{2} - q^{4} t^{3} + 8 \, q^{3} t^{4} - 2 \, q^{4} t^{2} + 4 \, q^{3} t^{3} + 2 \, q^{2} t^{4} + q^{2} t^{3} - 2 \, q t^{4} - t^{5}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{2} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
7 edges: | [[0, 3], [1, 4], [1, 5], [2, 4], [2, 5], [3, 5], [4, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle \frac{q^{11} + q^{10} t + 2 \, q^{9} t - 2 \, q^{8} t^{2} - 10 \, q^{8} t - q^{7} t^{2} - q^{6} t^{3} + 6 \, q^{6} t^{2} + 4 \, q^{5} t^{3} + 4 \, q^{6} t + 6 \, q^{5} t^{2} - q^{5} t - q^{4} t^{2} - 10 \, q^{3} t^{3} - 2 \, q^{3} t^{2} + 2 \, q^{2} t^{3} + q t^{3} + t^{4}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
8 edges: | [[0, 3], [1, 4], [1, 5], [2, 4], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle \frac{q^{12} + 5 \, q^{10} t - 10 \, q^{9} t - q^{8} t^{2} - 4 \, q^{8} t - 12 \, q^{7} t^{2} - q^{6} t^{3} + 6 \, q^{7} t + 32 \, q^{6} t^{2} + 6 \, q^{5} t^{3} - q^{6} t - 12 \, q^{5} t^{2} - 4 \, q^{4} t^{3} - q^{4} t^{2} - 10 \, q^{3} t^{3} + 5 \, q^{2} t^{3} + t^{4}}{{\left(q^{2} - t\right)}^{3} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
8 edges: | [[0, 3], [0, 5], [1, 3], [1, 5], [2, 4], [2, 5], [3, 4], [4, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle \frac{q^{12} + 10 \, q^{9} t - 24 \, q^{8} t + 12 \, q^{7} t + q^{6} t^{2} - q^{6} t - 12 \, q^{5} t^{2} + 24 \, q^{4} t^{2} - 10 \, q^{3} t^{2} - t^{3}}{{\left(q^{3} - t\right)}^{2} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
9 edges: | [[0, 3], [0, 4], [0, 5], [1, 3], [1, 4], [1, 5], [2, 3], [2, 4], [2, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle \frac{q^{16} + 4 \, q^{13} t - 11 \, q^{12} t + 2 \, q^{11} t + q^{10} t^{2} + q^{10} t - 14 \, q^{9} t^{2} + 32 \, q^{8} t^{2} - 14 \, q^{7} t^{2} + q^{6} t^{3} + q^{6} t^{2} + 2 \, q^{5} t^{3} - 11 \, q^{4} t^{3} + 4 \, q^{3} t^{3} + t^{4}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{2} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
11 edges: | [[0, 3], [0, 4], [0, 5], [1, 3], [1, 4], [1, 5], [2, 3], [2, 4], [2, 5], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{12} + 4 \, q^{9} t - 12 \, q^{8} t + 6 \, q^{7} t + q^{6} t^{2} - q^{6} t - 6 \, q^{5} t^{2} + 12 \, q^{4} t^{2} - 4 \, q^{3} t^{2} - t^{3}}{{\left(q^{3} - t\right)}^{2} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
12 edges: | [[0, 3], [0, 4], [0, 5], [1, 3], [1, 4], [1, 5], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{9} t^{2} - 3 \, q^{8} t^{3} + 5 \, q^{7} t^{4} + q^{6} t^{5} + 4 \, q^{9} t - 10 \, q^{8} t^{2} - 2 \, q^{7} t^{3} - 6 \, q^{6} t^{4} - 6 \, q^{5} t^{5} + q^{9} + q^{8} t - 9 \, q^{7} t^{2} + 59 \, q^{6} t^{3} - 24 \, q^{5} t^{4} + 8 \, q^{4} t^{5} - 24 \, q^{7} t + 38 \, q^{6} t^{2} - 64 \, q^{5} t^{3} + 20 \, q^{4} t^{4} + 10 \, q^{3} t^{5} + 10 \, q^{6} t + 20 \, q^{5} t^{2} - 64 \, q^{4} t^{3} + 38 \, q^{3} t^{4} - 24 \, q^{2} t^{5} + 8 \, q^{5} t - 24 \, q^{4} t^{2} + 59 \, q^{3} t^{3} - 9 \, q^{2} t^{4} + q t^{5} + t^{6} - 6 \, q^{4} t - 6 \, q^{3} t^{2} - 2 \, q^{2} t^{3} - 10 \, q t^{4} + 4 \, t^{5} + q^{3} t + 5 \, q^{2} t^{2} - 3 \, q t^{3} + t^{4}}{{\left(q - t\right)}^{3} q^{6} {\left(t - 1\right)}^{4}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
3 edges: | [[1, 2], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{6} t^{2} + 4 \, q^{6} t - 2 \, q^{5} t^{2} + q^{6} - 4 \, q^{5} t - 2 \, q^{4} t^{2} - 4 \, q^{4} t + 2 \, q^{3} t^{2} - 2 \, q^{3} t + 4 \, q^{2} t^{2} + 2 \, q^{2} t + 4 \, q t^{2} - t^{3} + 2 \, q t - 4 \, t^{2} - t}{q^{6} {\left(t - 1\right)}^{4}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
4 edges: | [[1, 2], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle -\frac{q^{12} t + q^{12} - 2 \, q^{11} t - 3 \, q^{10} t^{2} + 9 \, q^{10} t - 7 \, q^{8} t^{3} - 26 \, q^{9} t + 7 \, q^{8} t^{2} + 34 \, q^{7} t^{3} + q^{6} t^{4} + 14 \, q^{8} t - 10 \, q^{7} t^{2} - 43 \, q^{6} t^{3} + 43 \, q^{6} t^{2} + 10 \, q^{5} t^{3} - 14 \, q^{4} t^{4} - q^{6} t - 34 \, q^{5} t^{2} - 7 \, q^{4} t^{3} + 26 \, q^{3} t^{4} + 7 \, q^{4} t^{2} - 9 \, q^{2} t^{4} + 3 \, q^{2} t^{3} + 2 \, q t^{4} - t^{5} - t^{4}}{{\left(q^{2} - t\right)}^{3} q^{6} {\left(t - 1\right)}^{3}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
6 edges: | [[1, 2], [1, 5], [2, 4], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{13} + q^{12} t + 5 \, q^{11} t - 3 \, q^{10} t^{2} - 20 \, q^{10} t - 3 \, q^{9} t^{2} - 5 \, q^{8} t^{3} + 8 \, q^{9} t + 4 \, q^{8} t^{2} + 29 \, q^{7} t^{3} + q^{6} t^{4} + 2 \, q^{8} t + 36 \, q^{7} t^{2} - 36 \, q^{6} t^{3} - 2 \, q^{5} t^{4} - q^{7} t - 29 \, q^{6} t^{2} - 4 \, q^{5} t^{3} - 8 \, q^{4} t^{4} + 5 \, q^{5} t^{2} + 3 \, q^{4} t^{3} + 20 \, q^{3} t^{4} + 3 \, q^{3} t^{3} - 5 \, q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
7 edges: | [[0, 5], [1, 2], [1, 5], [2, 4], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{13} + 3 \, q^{12} t - 3 \, q^{11} t^{2} + q^{10} t^{3} - 4 \, q^{11} t - 8 \, q^{10} t^{2} + 2 \, q^{8} t^{4} - 12 \, q^{10} t + 19 \, q^{9} t^{2} + 21 \, q^{8} t^{3} - 9 \, q^{7} t^{4} - q^{6} t^{5} + 6 \, q^{9} t + 18 \, q^{8} t^{2} - 32 \, q^{7} t^{3} - 4 \, q^{6} t^{4} + 2 \, q^{5} t^{5} + 2 \, q^{8} t - 4 \, q^{7} t^{2} - 32 \, q^{6} t^{3} + 18 \, q^{5} t^{4} + 6 \, q^{4} t^{5} - q^{7} t - 9 \, q^{6} t^{2} + 21 \, q^{5} t^{3} + 19 \, q^{4} t^{4} - 12 \, q^{3} t^{5} + 2 \, q^{5} t^{2} - 8 \, q^{3} t^{4} - 4 \, q^{2} t^{5} + q^{3} t^{3} - 3 \, q^{2} t^{4} + 3 \, q t^{5} + t^{6}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{3} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
6 edges: | [[0, 4], [1, 2], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle \frac{q^{11} + 3 \, q^{10} t - 3 \, q^{9} t^{2} + q^{8} t^{3} - 5 \, q^{9} t - 5 \, q^{8} t^{2} + q^{7} t^{3} + q^{6} t^{4} - 6 \, q^{8} t + 16 \, q^{7} t^{2} + 4 \, q^{6} t^{3} - 4 \, q^{5} t^{4} + 8 \, q^{6} t^{2} - 8 \, q^{5} t^{3} + 4 \, q^{6} t - 4 \, q^{5} t^{2} - 16 \, q^{4} t^{3} + 6 \, q^{3} t^{4} - q^{5} t - q^{4} t^{2} + 5 \, q^{3} t^{3} + 5 \, q^{2} t^{4} - q^{3} t^{2} + 3 \, q^{2} t^{3} - 3 \, q t^{4} - t^{5}}{{\left(q^{2} - t\right)} {\left(q - t\right)}^{3} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
6 edges: | [[0, 4], [1, 2], [1, 5], [2, 5], [3, 4], [3, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle \frac{q^{10} + 2 \, q^{9} t - q^{8} t^{2} - q^{8} t - 2 \, q^{7} t^{2} - q^{6} t^{3} - 8 \, q^{7} t + 2 \, q^{6} t^{2} + 4 \, q^{5} t^{3} + 8 \, q^{5} t^{2} + 4 \, q^{5} t + 2 \, q^{4} t^{2} - 8 \, q^{3} t^{3} - q^{4} t - 2 \, q^{3} t^{2} - q^{2} t^{3} - q^{2} t^{2} + 2 \, q t^{3} + t^{4}}{{\left(q^{2} - t\right)} {\left(q - t\right)}^{2} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
7 edges: | [[0, 4], [1, 2], [1, 5], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle \frac{q^{13} + q^{12} t + 9 \, q^{11} t - 3 \, q^{10} t^{2} - 30 \, q^{10} t - 7 \, q^{9} t^{2} - 7 \, q^{8} t^{3} + 16 \, q^{9} t + 8 \, q^{8} t^{2} + 37 \, q^{7} t^{3} + q^{6} t^{4} + 42 \, q^{7} t^{2} - 42 \, q^{6} t^{3} - q^{7} t - 37 \, q^{6} t^{2} - 8 \, q^{5} t^{3} - 16 \, q^{4} t^{4} + 7 \, q^{5} t^{2} + 7 \, q^{4} t^{3} + 30 \, q^{3} t^{4} + 3 \, q^{3} t^{3} - 9 \, q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
6 edges: | [[0, 5], [1, 2], [1, 4], [2, 3], [3, 5], [4, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle \frac{q^{10} + q^{9} t + 4 \, q^{8} t - 7 \, q^{7} t + 3 \, q^{6} t^{2} - 10 \, q^{6} t - 12 \, q^{5} t^{2} + 12 \, q^{5} t + 10 \, q^{4} t^{2} - 3 \, q^{4} t + 7 \, q^{3} t^{2} - 4 \, q^{2} t^{2} - q t^{2} - t^{3}}{{\left(q^{3} - t\right)} {\left(q - t\right)} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
7 edges: | [[0, 5], [1, 2], [1, 4], [2, 3], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle \frac{q^{13} + 2 \, q^{11} t - q^{10} t - q^{9} t^{2} - 12 \, q^{9} t - 4 \, q^{8} t^{2} + 8 \, q^{8} t + 8 \, q^{7} t^{2} - q^{6} t^{3} - q^{7} t + 8 \, q^{6} t^{2} + 8 \, q^{5} t^{3} - 4 \, q^{5} t^{2} - 12 \, q^{4} t^{3} - q^{4} t^{2} - q^{3} t^{3} + 2 \, q^{2} t^{3} + t^{4}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{2} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
9 edges: | [[0, 4], [0, 5], [1, 2], [1, 5], [2, 3], [2, 4], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle \frac{q^{13} + q^{12} t - 2 \, q^{11} t + 4 \, q^{10} t - 2 \, q^{9} t^{2} - 14 \, q^{9} t + 8 \, q^{8} t + 5 \, q^{7} t^{2} - q^{6} t^{3} - q^{7} t + 5 \, q^{6} t^{2} + 8 \, q^{5} t^{3} - 14 \, q^{4} t^{3} - 2 \, q^{4} t^{2} + 4 \, q^{3} t^{3} - 2 \, q^{2} t^{3} + q t^{3} + t^{4}}{{\left(q^{3} - t\right)}^{2} {\left(q - t\right)} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
9 edges: | [[0, 5], [1, 2], [1, 3], [1, 4], [2, 4], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle \frac{q^{15} + 2 \, q^{14} t - q^{13} t^{2} - 4 \, q^{12} t^{2} + 2 \, q^{11} t^{3} - 11 \, q^{12} t - 9 \, q^{11} t^{2} - q^{10} t^{3} + q^{9} t^{4} - 4 \, q^{11} t + 40 \, q^{10} t^{2} + 20 \, q^{9} t^{3} - 4 \, q^{8} t^{4} + 10 \, q^{10} t - 4 \, q^{9} t^{2} - 31 \, q^{8} t^{3} - 4 \, q^{7} t^{4} - 3 \, q^{6} t^{5} - 3 \, q^{9} t - 4 \, q^{8} t^{2} - 31 \, q^{7} t^{3} - 4 \, q^{6} t^{4} + 10 \, q^{5} t^{5} - 4 \, q^{7} t^{2} + 20 \, q^{6} t^{3} + 40 \, q^{5} t^{4} - 4 \, q^{4} t^{5} + q^{6} t^{2} - q^{5} t^{3} - 9 \, q^{4} t^{4} - 11 \, q^{3} t^{5} + 2 \, q^{4} t^{3} - 4 \, q^{3} t^{4} - q^{2} t^{4} + 2 \, q t^{5} + t^{6}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{2} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
6 edges: | [[0, 4], [1, 2], [1, 3], [2, 5], [3, 5], [4, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle \frac{q^{12} + 15 \, q^{10} t - 36 \, q^{9} t + 9 \, q^{8} t^{2} + 18 \, q^{8} t - 60 \, q^{7} t^{2} - q^{6} t^{3} + 108 \, q^{6} t^{2} - q^{6} t - 60 \, q^{5} t^{2} + 18 \, q^{4} t^{3} + 9 \, q^{4} t^{2} - 36 \, q^{3} t^{3} + 15 \, q^{2} t^{3} + t^{4}}{{\left(q^{2} - t\right)}^{3} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
6 edges: | [[0, 4], [0, 5], [1, 2], [1, 3], [2, 5], [3, 4]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle \frac{q^{16} + 2 \, q^{14} t + 2 \, q^{13} t - q^{12} t^{2} - 22 \, q^{12} t - 12 \, q^{11} t^{2} + 16 \, q^{11} t + 23 \, q^{10} t^{2} + 2 \, q^{9} t^{3} - 3 \, q^{10} t + 8 \, q^{9} t^{2} + 6 \, q^{8} t^{3} - 6 \, q^{8} t^{2} - 8 \, q^{7} t^{3} + 3 \, q^{6} t^{4} - 2 \, q^{7} t^{2} - 23 \, q^{6} t^{3} - 16 \, q^{5} t^{4} + 12 \, q^{5} t^{3} + 22 \, q^{4} t^{4} + q^{4} t^{3} - 2 \, q^{3} t^{4} - 2 \, q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
8 edges: | [[0, 4], [0, 5], [1, 2], [1, 3], [2, 4], [2, 5], [3, 4], [3, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle \frac{q^{16} + 2 \, q^{14} t - 2 \, q^{13} t - q^{12} t^{2} - 12 \, q^{12} t - 8 \, q^{11} t^{2} + 8 \, q^{11} t + 17 \, q^{10} t^{2} + 2 \, q^{9} t^{3} - q^{10} t + 8 \, q^{9} t^{2} + 4 \, q^{8} t^{3} - 4 \, q^{8} t^{2} - 8 \, q^{7} t^{3} + q^{6} t^{4} - 2 \, q^{7} t^{2} - 17 \, q^{6} t^{3} - 8 \, q^{5} t^{4} + 8 \, q^{5} t^{3} + 12 \, q^{4} t^{4} + q^{4} t^{3} + 2 \, q^{3} t^{4} - 2 \, q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
9 edges: | [[0, 4], [0, 5], [1, 2], [1, 3], [2, 4], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{14} + q^{12} t + 4 \, q^{11} t - 18 \, q^{10} t - 4 \, q^{9} t^{2} + 10 \, q^{9} t + q^{8} t^{2} - q^{8} t + 12 \, q^{7} t^{2} - q^{6} t^{3} + q^{6} t^{2} + 10 \, q^{5} t^{3} - 4 \, q^{5} t^{2} - 18 \, q^{4} t^{3} + 4 \, q^{3} t^{3} + q^{2} t^{3} + t^{4}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
9 edges: | [[0, 4], [0, 5], [1, 2], [1, 3], [1, 5], [2, 4], [2, 5], [3, 4], [3, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle \frac{q^{14} + q^{12} t + 2 \, q^{11} t - 14 \, q^{10} t - 2 \, q^{9} t^{2} + 8 \, q^{9} t - 3 \, q^{8} t^{2} - q^{8} t + 16 \, q^{7} t^{2} - q^{6} t^{3} - 3 \, q^{6} t^{2} + 8 \, q^{5} t^{3} - 2 \, q^{5} t^{2} - 14 \, q^{4} t^{3} + 2 \, q^{3} t^{3} + q^{2} t^{3} + t^{4}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
10 edges: | [[0, 4], [0, 5], [1, 2], [1, 3], [1, 5], [2, 4], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle \frac{q^{13} + q^{12} t - 2 \, q^{9} t^{2} - 12 \, q^{9} t - 2 \, q^{8} t^{2} + 8 \, q^{8} t + 7 \, q^{7} t^{2} - q^{6} t^{3} - q^{7} t + 7 \, q^{6} t^{2} + 8 \, q^{5} t^{3} - 2 \, q^{5} t^{2} - 12 \, q^{4} t^{3} - 2 \, q^{4} t^{2} + q t^{3} + t^{4}}{{\left(q^{3} - t\right)}^{2} {\left(q - t\right)} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
8 edges: | [[0, 5], [1, 2], [1, 3], [1, 4], [2, 3], [2, 4], [3, 5], [4, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle -\frac{q^{6} t + q^{6} - 2 \, q^{5} t - 2 \, q t + t^{2} + t}{q^{6} {\left(t - 1\right)}^{3}}\) |
Graph: | |
---|---|
6 vertices: | [0, 1, 2, 3, 4, 5] |
10 edges: | [[1, 2], [1, 3], [1, 4], [1, 5], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle \frac{q^{10} + q^{9} t - 2 \, q^{8} t + q^{7} t - q^{6} t^{2} - 4 \, q^{6} t + 4 \, q^{4} t^{2} + q^{4} t - q^{3} t^{2} + 2 \, q^{2} t^{2} - q t^{2} - t^{3}}{{\left(q^{3} - t\right)} {\left(q - t\right)} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
10 edges: | [[0, 5], [1, 2], [1, 3], [1, 4], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle \frac{q^{7} + q^{6} t - 2 \, q^{5} t - 2 \, q^{2} t + q t + t^{2}}{{\left(q - t\right)} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
11 edges: | [[0, 5], [1, 2], [1, 3], [1, 4], [1, 5], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle -\frac{q^{6} t + q^{6} - 4 \, q^{3} t + t^{2} + t}{q^{6} {\left(t - 1\right)}^{3}}\) |
Graph: | |
---|---|
6 vertices: | [0, 1, 2, 3, 4, 5] |
6 edges: | [[0, 4], [0, 5], [1, 2], [1, 3], [2, 3], [4, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle \frac{q^{12} + 5 \, q^{10} t - 12 \, q^{9} t - 3 \, q^{8} t^{2} + 2 \, q^{8} t - 4 \, q^{7} t^{2} + q^{6} t^{3} + 20 \, q^{6} t^{2} + q^{6} t - 4 \, q^{5} t^{2} + 2 \, q^{4} t^{3} - 3 \, q^{4} t^{2} - 12 \, q^{3} t^{3} + 5 \, q^{2} t^{3} + t^{4}}{{\left(q^{2} - t\right)}^{3} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
8 edges: | [[0, 4], [0, 5], [1, 2], [1, 3], [2, 3], [2, 5], [3, 4], [4, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle \frac{q^{10} + 2 \, q^{8} t - 4 \, q^{7} t - q^{6} t^{2} - 2 \, q^{6} t + 2 \, q^{4} t^{2} + q^{4} t + 4 \, q^{3} t^{2} - 2 \, q^{2} t^{2} - t^{3}}{{\left(q^{2} - t\right)}^{2} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
10 edges: | [[0, 4], [0, 5], [1, 2], [1, 3], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle \frac{q^{8} + q^{6} t + 2 \, q^{5} t - 8 \, q^{4} t + 2 \, q^{3} t + q^{2} t + t^{2}}{{\left(q^{2} - t\right)} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
10 edges: | [[0, 4], [0, 5], [1, 2], [1, 3], [1, 5], [2, 3], [2, 4], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle \frac{q^{8} + q^{6} t - 4 \, q^{4} t + q^{2} t + t^{2}}{{\left(q^{2} - t\right)} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
11 edges: | [[0, 4], [0, 5], [1, 2], [1, 3], [1, 5], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle \frac{q^{10} + 2 \, q^{8} t - 2 \, q^{7} t - q^{6} t^{2} - 6 \, q^{6} t - 2 \, q^{5} t^{2} + 2 \, q^{5} t + 6 \, q^{4} t^{2} + q^{4} t + 2 \, q^{3} t^{2} - 2 \, q^{2} t^{2} - t^{3}}{{\left(q^{2} - t\right)}^{2} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
9 edges: | [[0, 4], [0, 5], [1, 2], [1, 3], [1, 4], [2, 3], [2, 5], [3, 5], [4, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle \frac{q^{12} + q^{10} t - 2 \, q^{9} t + q^{8} t - 6 \, q^{7} t - 3 \, q^{6} t^{2} + 3 \, q^{6} t + 6 \, q^{5} t^{2} - q^{4} t^{2} + 2 \, q^{3} t^{2} - q^{2} t^{2} - t^{3}}{{\left(q^{4} - t\right)} {\left(q^{2} - t\right)} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
11 edges: | [[0, 4], [0, 5], [1, 2], [1, 3], [1, 4], [1, 5], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle \frac{q^{8} + q^{6} t - 2 \, q^{5} t - 2 \, q^{3} t + q^{2} t + t^{2}}{{\left(q^{2} - t\right)} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
---|---|
6 vertices: | [0, 1, 2, 3, 4, 5] |
12 edges: | [[0, 4], [0, 5], [1, 2], [1, 3], [1, 4], [1, 5], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle \frac{q^{15} + 7 \, q^{13} t - 13 \, q^{12} t - q^{11} t^{2} - 8 \, q^{11} t - 27 \, q^{10} t^{2} + q^{9} t^{3} + 12 \, q^{10} t + 68 \, q^{9} t^{2} - 3 \, q^{8} t^{3} - 3 \, q^{9} t - 32 \, q^{8} t^{2} + 32 \, q^{7} t^{3} + 3 \, q^{6} t^{4} + 3 \, q^{7} t^{2} - 68 \, q^{6} t^{3} - 12 \, q^{5} t^{4} - q^{6} t^{2} + 27 \, q^{5} t^{3} + 8 \, q^{4} t^{4} + q^{4} t^{3} + 13 \, q^{3} t^{4} - 7 \, q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{3} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
7 edges: | [[0, 3], [0, 5], [1, 2], [1, 5], [2, 4], [3, 4], [4, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle \frac{q^{7} + q^{6} t - 2 \, q^{4} t - 2 \, q^{3} t + q t + t^{2}}{{\left(q - t\right)} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
---|---|
6 vertices: | [0, 1, 2, 3, 4, 5] |
9 edges: | [[0, 3], [1, 2], [1, 4], [1, 5], [2, 4], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle \frac{q^{10} + 2 \, q^{8} t - 4 \, q^{7} t - q^{6} t^{2} - 2 \, q^{6} t + 2 \, q^{4} t^{2} + q^{4} t + 4 \, q^{3} t^{2} - 2 \, q^{2} t^{2} - t^{3}}{{\left(q^{2} - t\right)}^{2} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
---|---|
6 vertices: | [0, 1, 2, 3, 4, 5] |
10 edges: | [[0, 3], [0, 5], [1, 2], [1, 4], [1, 5], [2, 4], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle \frac{q^{11} + q^{10} t + 4 \, q^{9} t - 2 \, q^{8} t^{2} - 14 \, q^{8} t - 3 \, q^{7} t^{2} - q^{6} t^{3} + 2 \, q^{7} t + 8 \, q^{6} t^{2} + 4 \, q^{5} t^{3} + 4 \, q^{6} t + 8 \, q^{5} t^{2} + 2 \, q^{4} t^{3} - q^{5} t - 3 \, q^{4} t^{2} - 14 \, q^{3} t^{3} - 2 \, q^{3} t^{2} + 4 \, q^{2} t^{3} + q t^{3} + t^{4}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
---|---|
6 vertices: | [0, 1, 2, 3, 4, 5] |
7 edges: | [[0, 3], [0, 4], [1, 2], [1, 5], [2, 5], [3, 5], [4, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle \frac{q^{12} + 3 \, q^{10} t - 8 \, q^{9} t - 3 \, q^{8} t^{2} + q^{6} t^{3} + 12 \, q^{6} t^{2} + q^{6} t - 3 \, q^{4} t^{2} - 8 \, q^{3} t^{3} + 3 \, q^{2} t^{3} + t^{4}}{{\left(q^{2} - t\right)}^{3} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
---|---|
6 vertices: | [0, 1, 2, 3, 4, 5] |
9 edges: | [[0, 3], [0, 4], [1, 2], [1, 5], [2, 4], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle \frac{q^{12} + q^{10} t - 3 \, q^{8} t - 4 \, q^{7} t - 3 \, q^{6} t^{2} + 3 \, q^{6} t + 4 \, q^{5} t^{2} + 3 \, q^{4} t^{2} - q^{2} t^{2} - t^{3}}{{\left(q^{4} - t\right)} {\left(q^{2} - t\right)} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
---|---|
6 vertices: | [0, 1, 2, 3, 4, 5] |
10 edges: | [[0, 3], [0, 4], [0, 5], [1, 2], [1, 4], [1, 5], [2, 4], [2, 5], [3, 4], [3, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle \frac{q^{8} + q^{6} t - 4 \, q^{4} t + q^{2} t + t^{2}}{{\left(q^{2} - t\right)} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
---|---|
6 vertices: | [0, 1, 2, 3, 4, 5] |
11 edges: | [[0, 3], [0, 4], [0, 5], [1, 2], [1, 4], [1, 5], [2, 4], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle \frac{q^{14} + q^{12} t + 4 \, q^{11} t - 18 \, q^{10} t - 6 \, q^{9} t^{2} + 10 \, q^{9} t + 9 \, q^{8} t^{2} - q^{8} t - q^{6} t^{3} + 9 \, q^{6} t^{2} + 10 \, q^{5} t^{3} - 6 \, q^{5} t^{2} - 18 \, q^{4} t^{3} + 4 \, q^{3} t^{3} + q^{2} t^{3} + t^{4}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
---|---|
6 vertices: | [0, 1, 2, 3, 4, 5] |
9 edges: | [[0, 3], [0, 4], [1, 2], [1, 4], [1, 5], [2, 3], [2, 5], [3, 5], [4, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle \frac{q^{12} + 8 \, q^{9} t - 20 \, q^{8} t + 10 \, q^{7} t + q^{6} t^{2} - q^{6} t - 10 \, q^{5} t^{2} + 20 \, q^{4} t^{2} - 8 \, q^{3} t^{2} - t^{3}}{{\left(q^{3} - t\right)}^{2} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
---|---|
6 vertices: | [0, 1, 2, 3, 4, 5] |
10 edges: | [[0, 3], [0, 4], [0, 5], [1, 2], [1, 4], [1, 5], [2, 3], [2, 5], [3, 5], [4, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle \frac{q^{12} + 10 \, q^{9} t - 24 \, q^{8} t + 12 \, q^{7} t + q^{6} t^{2} - q^{6} t - 12 \, q^{5} t^{2} + 24 \, q^{4} t^{2} - 10 \, q^{3} t^{2} - t^{3}}{{\left(q^{3} - t\right)}^{2} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
---|---|
6 vertices: | [0, 1, 2, 3, 4, 5] |
9 edges: | [[0, 3], [0, 4], [0, 5], [1, 2], [1, 4], [1, 5], [2, 3], [2, 5], [3, 4]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle \frac{q^{16} + 2 \, q^{13} t - 5 \, q^{12} t - 4 \, q^{11} t - q^{10} t^{2} + 3 \, q^{10} t - 6 \, q^{9} t^{2} + 20 \, q^{8} t^{2} - 6 \, q^{7} t^{2} + 3 \, q^{6} t^{3} - q^{6} t^{2} - 4 \, q^{5} t^{3} - 5 \, q^{4} t^{3} + 2 \, q^{3} t^{3} + t^{4}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{2} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
---|---|
6 vertices: | [0, 1, 2, 3, 4, 5] |
11 edges: | [[0, 3], [0, 4], [0, 5], [1, 2], [1, 4], [1, 5], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle \frac{q^{12} + 2 \, q^{9} t - 6 \, q^{8} t - q^{6} t^{2} + q^{6} t + 6 \, q^{4} t^{2} - 2 \, q^{3} t^{2} - t^{3}}{{\left(q^{3} - t\right)}^{2} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
---|---|
6 vertices: | [0, 1, 2, 3, 4, 5] |
12 edges: | [[0, 3], [0, 4], [0, 5], [1, 2], [1, 4], [1, 5], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle \frac{q^{13} + q^{10} t - q^{9} t - 6 \, q^{8} t + 3 \, q^{7} t - 3 \, q^{6} t^{2} + 6 \, q^{5} t^{2} + q^{4} t^{2} - q^{3} t^{2} - t^{3}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
---|---|
6 vertices: | [0, 1, 2, 3, 4, 5] |
12 edges: | [[0, 3], [0, 4], [0, 5], [1, 2], [1, 3], [1, 4], [1, 5], [2, 3], [2, 4], [2, 5], [3, 5], [4, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle \frac{q^{9} + q^{6} t - 2 \, q^{5} t - 2 \, q^{4} t + q^{3} t + t^{2}}{{\left(q^{3} - t\right)} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
---|---|
6 vertices: | [0, 1, 2, 3, 4, 5] |
13 edges: | [[0, 3], [0, 4], [0, 5], [1, 2], [1, 3], [1, 4], [1, 5], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle \frac{q^{13} + 2 \, q^{12} t - q^{11} t^{2} - 3 \, q^{11} t - 2 \, q^{10} t^{2} + q^{9} t^{3} - 3 \, q^{10} t - 2 \, q^{9} t^{2} + q^{8} t^{3} - 6 \, q^{9} t + 17 \, q^{8} t^{2} + q^{6} t^{4} + 6 \, q^{8} t - 6 \, q^{5} t^{4} - q^{7} t - 17 \, q^{5} t^{3} + 6 \, q^{4} t^{4} - q^{5} t^{2} + 2 \, q^{4} t^{3} + 3 \, q^{3} t^{4} - q^{4} t^{2} + 2 \, q^{3} t^{3} + 3 \, q^{2} t^{4} + q^{2} t^{3} - 2 \, q t^{4} - t^{5}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)} {\left(q - t\right)}^{2} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
---|---|
6 vertices: | [0, 1, 2, 3, 4, 5] |
7 edges: | [[0, 2], [1, 4], [1, 5], [2, 3], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle \frac{q^{14} + q^{12} t - 8 \, q^{10} t - 4 \, q^{9} t^{2} + 2 \, q^{9} t + 5 \, q^{8} t^{2} + q^{8} t + 4 \, q^{7} t^{2} + q^{6} t^{3} + 5 \, q^{6} t^{2} + 2 \, q^{5} t^{3} - 4 \, q^{5} t^{2} - 8 \, q^{4} t^{3} + q^{2} t^{3} + t^{4}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
---|---|
6 vertices: | [0, 1, 2, 3, 4, 5] |
10 edges: | [[0, 2], [0, 3], [1, 3], [1, 4], [1, 5], [2, 4], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle \frac{q^{10} + 5 \, q^{6} t - 12 \, q^{5} t + 5 \, q^{4} t + t^{2}}{{\left(q^{4} - t\right)} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
---|---|
6 vertices: | [0, 1, 2, 3, 4, 5] |
12 edges: | [[0, 2], [0, 3], [0, 4], [0, 5], [1, 2], [1, 3], [1, 4], [1, 5], [2, 4], [2, 5], [3, 4], [3, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle \frac{q^{10} + 3 \, q^{6} t - 8 \, q^{5} t + 3 \, q^{4} t + t^{2}}{{\left(q^{4} - t\right)} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
---|---|
6 vertices: | [0, 1, 2, 3, 4, 5] |
13 edges: | [[0, 2], [0, 3], [0, 4], [0, 5], [1, 2], [1, 3], [1, 4], [1, 5], [2, 4], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle \frac{q^{10} + q^{6} t - 4 \, q^{5} t + q^{4} t + t^{2}}{{\left(q^{4} - t\right)} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
---|---|
6 vertices: | [0, 1, 2, 3, 4, 5] |
14 edges: | [[0, 2], [0, 3], [0, 4], [0, 5], [1, 2], [1, 3], [1, 4], [1, 5], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle -\frac{q^{9} t - 3 \, q^{8} t^{2} - 9 \, q^{7} t^{3} - q^{6} t^{4} + q^{9} + 9 \, q^{8} t + 3 \, q^{7} t^{2} + 29 \, q^{6} t^{3} + 6 \, q^{5} t^{4} - 26 \, q^{7} t - 18 \, q^{6} t^{2} - 6 \, q^{5} t^{3} - 10 \, q^{4} t^{4} + 6 \, q^{6} t + 42 \, q^{5} t^{2} - 42 \, q^{4} t^{3} - 6 \, q^{3} t^{4} + 10 \, q^{5} t + 6 \, q^{4} t^{2} + 18 \, q^{3} t^{3} + 26 \, q^{2} t^{4} - 6 \, q^{4} t - 29 \, q^{3} t^{2} - 3 \, q^{2} t^{3} - 9 \, q t^{4} - t^{5} + q^{3} t + 9 \, q^{2} t^{2} + 3 \, q t^{3} - t^{4}}{{\left(q - t\right)}^{3} q^{6} {\left(t - 1\right)}^{3}}\) |
Graph: | |
---|---|
6 vertices: | [0, 1, 2, 3, 4, 5] |
4 edges: | [[0, 1], [2, 5], [3, 5], [4, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle -\frac{q^{9} t - 3 \, q^{8} t^{2} - 3 \, q^{7} t^{3} + q^{6} t^{4} + q^{9} + 5 \, q^{8} t - 3 \, q^{7} t^{2} + 13 \, q^{6} t^{3} - 14 \, q^{7} t + 2 \, q^{6} t^{2} - 8 \, q^{4} t^{4} - 4 \, q^{6} t + 24 \, q^{5} t^{2} - 24 \, q^{4} t^{3} + 4 \, q^{3} t^{4} + 8 \, q^{5} t - 2 \, q^{3} t^{3} + 14 \, q^{2} t^{4} - 13 \, q^{3} t^{2} + 3 \, q^{2} t^{3} - 5 \, q t^{4} - t^{5} - q^{3} t + 3 \, q^{2} t^{2} + 3 \, q t^{3} - t^{4}}{{\left(q - t\right)}^{3} q^{6} {\left(t - 1\right)}^{3}}\) |
Graph: | |
---|---|
6 vertices: | [0, 1, 2, 3, 4, 5] |
4 edges: | [[0, 1], [2, 5], [3, 4], [4, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle -\frac{q^{8} t - 2 \, q^{7} t^{2} - q^{6} t^{3} + q^{8} + 2 \, q^{7} t - q^{6} t^{2} + 2 \, q^{5} t^{3} - 6 \, q^{6} t + 4 \, q^{5} t^{2} + 4 \, q^{4} t^{3} - 6 \, q^{5} t + 4 \, q^{4} t^{2} - 6 \, q^{3} t^{3} + 4 \, q^{4} t + 4 \, q^{3} t^{2} - 6 \, q^{2} t^{3} + 2 \, q^{3} t - q^{2} t^{2} + 2 \, q t^{3} + t^{4} - q^{2} t - 2 \, q t^{2} + t^{3}}{{\left(q - t\right)}^{2} q^{6} {\left(t - 1\right)}^{3}}\) |
Graph: | |
---|---|
6 vertices: | [0, 1, 2, 3, 4, 5] |
5 edges: | [[0, 1], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle -\frac{q^{10} t + q^{10} - 2 \, q^{8} t^{2} + 4 \, q^{8} t - 3 \, q^{6} t^{3} - 16 \, q^{7} t - 3 \, q^{6} t^{2} + 8 \, q^{5} t^{3} + 2 \, q^{6} t + 16 \, q^{5} t^{2} + 2 \, q^{4} t^{3} + 8 \, q^{5} t - 3 \, q^{4} t^{2} - 16 \, q^{3} t^{3} - 3 \, q^{4} t + 4 \, q^{2} t^{3} - 2 \, q^{2} t^{2} + t^{4} + t^{3}}{{\left(q^{2} - t\right)}^{2} q^{6} {\left(t - 1\right)}^{3}}\) |
Graph: | |
---|---|
6 vertices: | [0, 1, 2, 3, 4, 5] |
5 edges: | [[0, 1], [2, 4], [2, 5], [3, 4], [3, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle -\frac{q^{10} t + q^{10} - 2 \, q^{8} t^{2} - q^{6} t^{3} - 8 \, q^{7} t + q^{6} t^{2} + 4 \, q^{5} t^{3} + 8 \, q^{5} t^{2} + 4 \, q^{5} t + q^{4} t^{2} - 8 \, q^{3} t^{3} - q^{4} t - 2 \, q^{2} t^{2} + t^{4} + t^{3}}{{\left(q^{2} - t\right)}^{2} q^{6} {\left(t - 1\right)}^{3}}\) |
Graph: | |
---|---|
6 vertices: | [0, 1, 2, 3, 4, 5] |
6 edges: | [[0, 1], [2, 4], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle \frac{q^{11} + q^{10} t + 2 \, q^{9} t - 2 \, q^{8} t^{2} - 10 \, q^{8} t - q^{7} t^{2} - q^{6} t^{3} + 6 \, q^{6} t^{2} + 4 \, q^{5} t^{3} + 4 \, q^{6} t + 6 \, q^{5} t^{2} - q^{5} t - q^{4} t^{2} - 10 \, q^{3} t^{3} - 2 \, q^{3} t^{2} + 2 \, q^{2} t^{3} + q t^{3} + t^{4}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
---|---|
6 vertices: | [0, 1, 2, 3, 4, 5] |
8 edges: | [[0, 1], [0, 5], [1, 5], [2, 4], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle \frac{q^{18} + 7 \, q^{16} t - 14 \, q^{15} t + q^{14} t^{2} - 8 \, q^{14} t - 42 \, q^{13} t^{2} - q^{12} t^{3} + 12 \, q^{13} t + 93 \, q^{12} t^{2} + 6 \, q^{11} t^{3} - 3 \, q^{12} t - 32 \, q^{11} t^{2} + 45 \, q^{10} t^{3} + 2 \, q^{9} t^{4} - 7 \, q^{10} t^{2} - 120 \, q^{9} t^{3} - 7 \, q^{8} t^{4} + 2 \, q^{9} t^{2} + 45 \, q^{8} t^{3} - 32 \, q^{7} t^{4} - 3 \, q^{6} t^{5} + 6 \, q^{7} t^{3} + 93 \, q^{6} t^{4} + 12 \, q^{5} t^{5} - q^{6} t^{3} - 42 \, q^{5} t^{4} - 8 \, q^{4} t^{5} + q^{4} t^{4} - 14 \, q^{3} t^{5} + 7 \, q^{2} t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{3} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
---|---|
6 vertices: | [0, 1, 2, 3, 4, 5] |
7 edges: | [[0, 1], [0, 5], [1, 4], [2, 4], [2, 5], [3, 4], [3, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle \frac{q^{12} + 7 \, q^{10} t - 16 \, q^{9} t + q^{8} t^{2} + 2 \, q^{8} t - 20 \, q^{7} t^{2} - q^{6} t^{3} + 4 \, q^{7} t + 44 \, q^{6} t^{2} + 4 \, q^{5} t^{3} - q^{6} t - 20 \, q^{5} t^{2} + 2 \, q^{4} t^{3} + q^{4} t^{2} - 16 \, q^{3} t^{3} + 7 \, q^{2} t^{3} + t^{4}}{{\left(q^{2} - t\right)}^{3} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
---|---|
6 vertices: | [0, 1, 2, 3, 4, 5] |
8 edges: | [[0, 1], [0, 5], [1, 4], [2, 4], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
---|---|
ask[#]: | \(\displaystyle -\frac{q^{6} t + q^{6} - 2 \, q^{4} t - 2 \, q^{2} t + t^{2} + t}{q^{6} {\left(t - 1\right)}^{3}}\) |
Graph: | |
---|---|
6 vertices: | [0, 1, 2, 3, 4, 5] |
7 edges: | [[0, 1], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{8} + 2 \, q^{7} t - q^{6} t^{2} - 4 \, q^{6} t + 2 \, q^{4} t^{2} - 2 \, q^{4} t + 4 \, q^{2} t^{2} + q^{2} t - 2 \, q t^{2} - t^{3}}{{\left(q - t\right)}^{2} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
8 edges: | [[0, 1], [1, 5], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{8} + 2 \, q^{7} t - q^{6} t^{2} - 2 \, q^{6} t - 4 \, q^{5} t + 4 \, q^{3} t^{2} + 2 \, q^{2} t^{2} + q^{2} t - 2 \, q t^{2} - t^{3}}{{\left(q - t\right)}^{2} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
7 edges: | [[0, 1], [0, 5], [1, 5], [2, 3], [2, 4], [3, 4], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{9} + q^{8} t + q^{7} t - q^{6} t^{2} - 6 \, q^{6} t + 6 \, q^{3} t^{2} + q^{3} t - q^{2} t^{2} - q t^{2} - t^{3}}{{\left(q^{2} - t\right)} {\left(q - t\right)} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
8 edges: | [[0, 1], [0, 5], [1, 5], [2, 3], [2, 4], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{7} + q^{6} t - 2 \, q^{4} t - 2 \, q^{3} t + q t + t^{2}}{{\left(q - t\right)} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
9 edges: | [[0, 1], [0, 5], [1, 5], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{16} + 4 \, q^{14} t - 6 \, q^{13} t - q^{12} t^{2} - 10 \, q^{12} t - 12 \, q^{11} t^{2} + 8 \, q^{11} t + 23 \, q^{10} t^{2} + 2 \, q^{9} t^{3} - q^{10} t + 8 \, q^{9} t^{2} + 6 \, q^{8} t^{3} - 6 \, q^{8} t^{2} - 8 \, q^{7} t^{3} + q^{6} t^{4} - 2 \, q^{7} t^{2} - 23 \, q^{6} t^{3} - 8 \, q^{5} t^{4} + 12 \, q^{5} t^{3} + 10 \, q^{4} t^{4} + q^{4} t^{3} + 6 \, q^{3} t^{4} - 4 \, q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
8 edges: | [[0, 1], [0, 5], [1, 4], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{10} + 4 \, q^{8} t - 8 \, q^{7} t - q^{6} t^{2} + q^{4} t + 8 \, q^{3} t^{2} - 4 \, q^{2} t^{2} - t^{3}}{{\left(q^{2} - t\right)}^{2} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
9 edges: | [[0, 1], [0, 5], [1, 4], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{15} + 5 \, q^{13} t - 11 \, q^{12} t - 3 \, q^{11} t^{2} - 4 \, q^{11} t - 11 \, q^{10} t^{2} + q^{9} t^{3} + 6 \, q^{10} t + 38 \, q^{9} t^{2} + q^{8} t^{3} - q^{9} t - 12 \, q^{8} t^{2} + 12 \, q^{7} t^{3} + q^{6} t^{4} - q^{7} t^{2} - 38 \, q^{6} t^{3} - 6 \, q^{5} t^{4} - q^{6} t^{2} + 11 \, q^{5} t^{3} + 4 \, q^{4} t^{4} + 3 \, q^{4} t^{3} + 11 \, q^{3} t^{4} - 5 \, q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{3} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
8 edges: | [[0, 1], [0, 5], [1, 3], [2, 4], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{12} + 4 \, q^{9} t - 10 \, q^{8} t + 2 \, q^{7} t - q^{6} t^{2} + q^{6} t - 2 \, q^{5} t^{2} + 10 \, q^{4} t^{2} - 4 \, q^{3} t^{2} - t^{3}}{{\left(q^{3} - t\right)}^{2} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
11 edges: | [[0, 1], [0, 4], [0, 5], [1, 3], [1, 5], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{9} + 3 \, q^{6} t - 4 \, q^{5} t - 4 \, q^{4} t + 3 \, q^{3} t + t^{2}}{{\left(q^{3} - t\right)} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
11 edges: | [[0, 1], [0, 4], [0, 5], [1, 2], [1, 3], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{12} + 6 \, q^{9} t - 14 \, q^{8} t + 4 \, q^{7} t - q^{6} t^{2} + q^{6} t - 4 \, q^{5} t^{2} + 14 \, q^{4} t^{2} - 6 \, q^{3} t^{2} - t^{3}}{{\left(q^{3} - t\right)}^{2} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
10 edges: | [[0, 1], [0, 3], [0, 4], [1, 2], [1, 5], [2, 4], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{12} + 9 \, q^{10} t - 20 \, q^{9} t - q^{8} t^{2} + 4 \, q^{8} t - 16 \, q^{7} t^{2} - q^{6} t^{3} + 4 \, q^{7} t + 40 \, q^{6} t^{2} + 4 \, q^{5} t^{3} - q^{6} t - 16 \, q^{5} t^{2} + 4 \, q^{4} t^{3} - q^{4} t^{2} - 20 \, q^{3} t^{3} + 9 \, q^{2} t^{3} + t^{4}}{{\left(q^{2} - t\right)}^{3} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
7 edges: | [[0, 1], [0, 2], [1, 5], [2, 4], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{12} + 6 \, q^{9} t - 14 \, q^{8} t + 4 \, q^{7} t - q^{6} t^{2} + q^{6} t - 4 \, q^{5} t^{2} + 14 \, q^{4} t^{2} - 6 \, q^{3} t^{2} - t^{3}}{{\left(q^{3} - t\right)}^{2} q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
10 edges: | [[0, 1], [0, 2], [0, 3], [1, 4], [1, 5], [2, 4], [2, 5], [3, 4], [3, 5], [4, 5]] |
Zeta functions | |
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ask[#]: | \(\displaystyle \frac{q^{6} - t}{q^{6} {\left(t - 1\right)}^{2}}\) |
Graph: | |
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6 vertices: | [0, 1, 2, 3, 4, 5] |
15 edges: | [[0, 1], [0, 2], [0, 3], [0, 4], [0, 5], [1, 2], [1, 3], [1, 4], [1, 5], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5], [4, 5]] |