| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{7} t^{6} + 120 \, q^{7} t^{5} - 14 \, q^{6} t^{6} + 1191 \, q^{7} t^{4} - 1232 \, q^{6} t^{5} + 84 \, q^{5} t^{6} + 2416 \, q^{7} t^{3} - 10052 \, q^{6} t^{4} + 5376 \, q^{5} t^{5} - 280 \, q^{4} t^{6} + 1191 \, q^{7} t^{2} - 16912 \, q^{6} t^{3} + 35616 \, q^{5} t^{4} - 12880 \, q^{4} t^{5} + 560 \, q^{3} t^{6} + 120 \, q^{7} t - 6622 \, q^{6} t^{2} + 49056 \, q^{5} t^{3} - 68320 \, q^{4} t^{4} + 18200 \, q^{3} t^{5} - 672 \, q^{2} t^{6} + q^{7} - 448 \, q^{6} t + 15036 \, q^{5} t^{2} - 76160 \, q^{4} t^{3} + 76160 \, q^{3} t^{4} - 15036 \, q^{2} t^{5} + 448 \, q t^{6} - t^{7} + 672 \, q^{5} t - 18200 \, q^{4} t^{2} + 68320 \, q^{3} t^{3} - 49056 \, q^{2} t^{4} + 6622 \, q t^{5} - 120 \, t^{6} - 560 \, q^{4} t + 12880 \, q^{3} t^{2} - 35616 \, q^{2} t^{3} + 16912 \, q t^{4} - 1191 \, t^{5} + 280 \, q^{3} t - 5376 \, q^{2} t^{2} + 10052 \, q t^{3} - 2416 \, t^{4} - 84 \, q^{2} t + 1232 \, q t^{2} - 1191 \, t^{3} + 14 \, q t - 120 \, t^{2} - t}{q^{7} {\left(t - 1\right)}^{8}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 0 edges: | [] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{7} t^{5} + 57 \, q^{7} t^{4} - 10 \, q^{6} t^{5} + 302 \, q^{7} t^{3} - 410 \, q^{6} t^{4} + 38 \, q^{5} t^{5} + 302 \, q^{7} t^{2} - 1710 \, q^{6} t^{3} + 1078 \, q^{5} t^{4} - 60 \, q^{4} t^{5} + 57 \, q^{7} t - 1310 \, q^{6} t^{2} + 3378 \, q^{5} t^{3} - 1020 \, q^{4} t^{4} + q^{7} - 160 \, q^{6} t + 1858 \, q^{5} t^{2} - 1980 \, q^{4} t^{3} - 540 \, q^{3} t^{4} + 128 \, q^{2} t^{5} + 128 \, q^{5} t - 540 \, q^{4} t^{2} - 1980 \, q^{3} t^{3} + 1858 \, q^{2} t^{4} - 160 \, q t^{5} + t^{6} - 1020 \, q^{3} t^{2} + 3378 \, q^{2} t^{3} - 1310 \, q t^{4} + 57 \, t^{5} - 60 \, q^{3} t + 1078 \, q^{2} t^{2} - 1710 \, q t^{3} + 302 \, t^{4} + 38 \, q^{2} t - 410 \, q t^{2} + 302 \, t^{3} - 10 \, q t + 57 \, t^{2} + t}{q^{7} {\left(t - 1\right)}^{7}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 1 edge: | [[5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{12} t^{4} - 5 \, q^{11} t^{5} + 12 \, q^{10} t^{6} + 12 \, q^{9} t^{7} + 27 \, q^{8} t^{8} + q^{7} t^{9} + 26 \, q^{12} t^{3} - 134 \, q^{11} t^{4} + 268 \, q^{10} t^{5} - 432 \, q^{9} t^{6} - 26 \, q^{8} t^{7} - 170 \, q^{7} t^{8} - 12 \, q^{6} t^{9} + 66 \, q^{12} t^{2} - 402 \, q^{11} t^{3} + 1040 \, q^{10} t^{4} - 1000 \, q^{9} t^{5} + 1664 \, q^{8} t^{6} + 424 \, q^{7} t^{7} + 310 \, q^{6} t^{8} + 58 \, q^{5} t^{9} + 26 \, q^{12} t - 262 \, q^{11} t^{2} + 732 \, q^{10} t^{3} - 1202 \, q^{9} t^{4} - 1820 \, q^{8} t^{5} - 434 \, q^{7} t^{6} - 2796 \, q^{6} t^{7} + 138 \, q^{5} t^{8} - 142 \, q^{4} t^{9} + q^{12} - 37 \, q^{11} t - 52 \, q^{10} t^{2} + 1992 \, q^{9} t^{3} - 4389 \, q^{8} t^{4} + 13391 \, q^{7} t^{5} - 6702 \, q^{6} t^{6} + 6766 \, q^{5} t^{7} - 1066 \, q^{4} t^{8} + 176 \, q^{3} t^{9} - 80 \, q^{10} t + 1054 \, q^{9} t^{2} - 6848 \, q^{8} t^{3} + 10786 \, q^{7} t^{4} - 21920 \, q^{6} t^{5} + 10786 \, q^{5} t^{6} - 6848 \, q^{4} t^{7} + 1054 \, q^{3} t^{8} - 80 \, q^{2} t^{9} + 176 \, q^{9} t - 1066 \, q^{8} t^{2} + 6766 \, q^{7} t^{3} - 6702 \, q^{6} t^{4} + 13391 \, q^{5} t^{5} - 4389 \, q^{4} t^{6} + 1992 \, q^{3} t^{7} - 52 \, q^{2} t^{8} - 37 \, q t^{9} + t^{10} - 142 \, q^{8} t + 138 \, q^{7} t^{2} - 2796 \, q^{6} t^{3} - 434 \, q^{5} t^{4} - 1820 \, q^{4} t^{5} - 1202 \, q^{3} t^{6} + 732 \, q^{2} t^{7} - 262 \, q t^{8} + 26 \, t^{9} + 58 \, q^{7} t + 310 \, q^{6} t^{2} + 424 \, q^{5} t^{3} + 1664 \, q^{4} t^{4} - 1000 \, q^{3} t^{5} + 1040 \, q^{2} t^{6} - 402 \, q t^{7} + 66 \, t^{8} - 12 \, q^{6} t - 170 \, q^{5} t^{2} - 26 \, q^{4} t^{3} - 432 \, q^{3} t^{4} + 268 \, q^{2} t^{5} - 134 \, q t^{6} + 26 \, t^{7} + q^{5} t + 27 \, q^{4} t^{2} + 12 \, q^{3} t^{3} + 12 \, q^{2} t^{4} - 5 \, q t^{5} + t^{6}}{{\left(q - t\right)}^{5} q^{7} {\left(t - 1\right)}^{6}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 2 edges: | [[4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{12} t^{3} - 5 \, q^{11} t^{4} - 2 \, q^{10} t^{5} - 94 \, q^{9} t^{6} - 43 \, q^{8} t^{7} - q^{7} t^{8} + 11 \, q^{12} t^{2} - 49 \, q^{11} t^{3} + 140 \, q^{10} t^{4} + 364 \, q^{9} t^{5} + 481 \, q^{8} t^{6} + 337 \, q^{7} t^{7} + 12 \, q^{6} t^{8} + 11 \, q^{12} t - 13 \, q^{11} t^{2} - 268 \, q^{10} t^{3} - 260 \, q^{9} t^{4} - 2555 \, q^{8} t^{5} - 1019 \, q^{7} t^{6} - 1020 \, q^{6} t^{7} - 60 \, q^{5} t^{8} + q^{12} + 19 \, q^{11} t - 194 \, q^{10} t^{2} + 2088 \, q^{9} t^{3} + 369 \, q^{8} t^{4} + 6489 \, q^{7} t^{5} + 1754 \, q^{6} t^{6} + 1412 \, q^{5} t^{7} + 158 \, q^{4} t^{8} - 156 \, q^{10} t + 220 \, q^{9} t^{2} - 4048 \, q^{8} t^{3} - 2872 \, q^{7} t^{4} - 7050 \, q^{6} t^{5} - 3314 \, q^{5} t^{6} - 698 \, q^{4} t^{7} - 226 \, q^{3} t^{8} + 226 \, q^{9} t + 698 \, q^{8} t^{2} + 3314 \, q^{7} t^{3} + 7050 \, q^{6} t^{4} + 2872 \, q^{5} t^{5} + 4048 \, q^{4} t^{6} - 220 \, q^{3} t^{7} + 156 \, q^{2} t^{8} - 158 \, q^{8} t - 1412 \, q^{7} t^{2} - 1754 \, q^{6} t^{3} - 6489 \, q^{5} t^{4} - 369 \, q^{4} t^{5} - 2088 \, q^{3} t^{6} + 194 \, q^{2} t^{7} - 19 \, q t^{8} - t^{9} + 60 \, q^{7} t + 1020 \, q^{6} t^{2} + 1019 \, q^{5} t^{3} + 2555 \, q^{4} t^{4} + 260 \, q^{3} t^{5} + 268 \, q^{2} t^{6} + 13 \, q t^{7} - 11 \, t^{8} - 12 \, q^{6} t - 337 \, q^{5} t^{2} - 481 \, q^{4} t^{3} - 364 \, q^{3} t^{4} - 140 \, q^{2} t^{5} + 49 \, q t^{6} - 11 \, t^{7} + q^{5} t + 43 \, q^{4} t^{2} + 94 \, q^{3} t^{3} + 2 \, q^{2} t^{4} + 5 \, q t^{5} - t^{6}}{{\left(q - t\right)}^{5} q^{7} {\left(t - 1\right)}^{5}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 3 edges: | [[3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{12} t^{2} - 5 \, q^{11} t^{3} + 60 \, q^{10} t^{4} + 180 \, q^{9} t^{5} + 51 \, q^{8} t^{6} + q^{7} t^{7} + 4 \, q^{12} t + 4 \, q^{11} t^{2} - 280 \, q^{10} t^{3} - 492 \, q^{9} t^{4} - 1104 \, q^{8} t^{5} - 424 \, q^{7} t^{6} - 12 \, q^{6} t^{7} + q^{12} + 43 \, q^{11} t + 48 \, q^{10} t^{2} + 1462 \, q^{9} t^{3} + 2325 \, q^{8} t^{4} + 2707 \, q^{7} t^{5} + 1418 \, q^{6} t^{6} + 60 \, q^{5} t^{7} - 182 \, q^{10} t - 698 \, q^{9} t^{2} - 2912 \, q^{8} t^{3} - 6152 \, q^{7} t^{4} - 3642 \, q^{6} t^{5} - 2382 \, q^{5} t^{6} - 160 \, q^{4} t^{7} + 238 \, q^{9} t + 2010 \, q^{8} t^{2} + 3538 \, q^{7} t^{3} + 8588 \, q^{6} t^{4} + 3538 \, q^{5} t^{5} + 2010 \, q^{4} t^{6} + 238 \, q^{3} t^{7} - 160 \, q^{8} t - 2382 \, q^{7} t^{2} - 3642 \, q^{6} t^{3} - 6152 \, q^{5} t^{4} - 2912 \, q^{4} t^{5} - 698 \, q^{3} t^{6} - 182 \, q^{2} t^{7} + 60 \, q^{7} t + 1418 \, q^{6} t^{2} + 2707 \, q^{5} t^{3} + 2325 \, q^{4} t^{4} + 1462 \, q^{3} t^{5} + 48 \, q^{2} t^{6} + 43 \, q t^{7} + t^{8} - 12 \, q^{6} t - 424 \, q^{5} t^{2} - 1104 \, q^{4} t^{3} - 492 \, q^{3} t^{4} - 280 \, q^{2} t^{5} + 4 \, q t^{6} + 4 \, t^{7} + q^{5} t + 51 \, q^{4} t^{2} + 180 \, q^{3} t^{3} + 60 \, q^{2} t^{4} - 5 \, q t^{5} + t^{6}}{{\left(q - t\right)}^{5} q^{7} {\left(t - 1\right)}^{4}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 4 edges: | [[2, 6], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{12} t - 5 \, q^{11} t^{2} - 170 \, q^{10} t^{3} - 250 \, q^{9} t^{4} - 55 \, q^{8} t^{5} - q^{7} t^{6} + q^{12} + 53 \, q^{11} t + 230 \, q^{10} t^{2} + 950 \, q^{9} t^{3} + 1645 \, q^{8} t^{4} + 469 \, q^{7} t^{5} + 12 \, q^{6} t^{6} - 190 \, q^{10} t - 1280 \, q^{9} t^{2} - 2580 \, q^{8} t^{3} - 4340 \, q^{7} t^{4} - 1630 \, q^{6} t^{5} - 60 \, q^{5} t^{6} + 240 \, q^{9} t + 2780 \, q^{8} t^{2} + 4760 \, q^{7} t^{3} + 5940 \, q^{6} t^{4} + 2920 \, q^{5} t^{5} + 160 \, q^{4} t^{6} - 160 \, q^{8} t - 2920 \, q^{7} t^{2} - 5940 \, q^{6} t^{3} - 4760 \, q^{5} t^{4} - 2780 \, q^{4} t^{5} - 240 \, q^{3} t^{6} + 60 \, q^{7} t + 1630 \, q^{6} t^{2} + 4340 \, q^{5} t^{3} + 2580 \, q^{4} t^{4} + 1280 \, q^{3} t^{5} + 190 \, q^{2} t^{6} - 12 \, q^{6} t - 469 \, q^{5} t^{2} - 1645 \, q^{4} t^{3} - 950 \, q^{3} t^{4} - 230 \, q^{2} t^{5} - 53 \, q t^{6} - t^{7} + q^{5} t + 55 \, q^{4} t^{2} + 250 \, q^{3} t^{3} + 170 \, q^{2} t^{4} + 5 \, q t^{5} - t^{6}}{{\left(q - t\right)}^{5} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 5 edges: | [[1, 6], [2, 6], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{12} + 57 \, q^{11} t + 302 \, q^{10} t^{2} + 302 \, q^{9} t^{3} + 57 \, q^{8} t^{4} + q^{7} t^{5} - 192 \, q^{10} t - 1572 \, q^{9} t^{2} - 2052 \, q^{8} t^{3} - 492 \, q^{7} t^{4} - 12 \, q^{6} t^{5} + 240 \, q^{9} t + 3180 \, q^{8} t^{2} + 5580 \, q^{7} t^{3} + 1740 \, q^{6} t^{4} + 60 \, q^{5} t^{5} - 160 \, q^{8} t - 3200 \, q^{7} t^{2} - 7680 \, q^{6} t^{3} - 3200 \, q^{5} t^{4} - 160 \, q^{4} t^{5} + 60 \, q^{7} t + 1740 \, q^{6} t^{2} + 5580 \, q^{5} t^{3} + 3180 \, q^{4} t^{4} + 240 \, q^{3} t^{5} - 12 \, q^{6} t - 492 \, q^{5} t^{2} - 2052 \, q^{4} t^{3} - 1572 \, q^{3} t^{4} - 192 \, q^{2} t^{5} + q^{5} t + 57 \, q^{4} t^{2} + 302 \, q^{3} t^{3} + 302 \, q^{2} t^{4} + 57 \, q t^{5} + t^{6}}{{\left(q - t\right)}^{5} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 6 edges: | [[0, 6], [1, 6], [2, 6], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{7} t^{4} + 26 \, q^{7} t^{3} - 8 \, q^{6} t^{4} + 66 \, q^{7} t^{2} - 144 \, q^{6} t^{3} + 24 \, q^{5} t^{4} + 26 \, q^{7} t - 264 \, q^{6} t^{2} + 288 \, q^{5} t^{3} - 34 \, q^{4} t^{4} + q^{7} - 64 \, q^{6} t + 360 \, q^{5} t^{2} - 276 \, q^{4} t^{3} + 32 \, q^{3} t^{4} + 48 \, q^{5} t - 258 \, q^{4} t^{2} + 258 \, q^{3} t^{3} - 48 \, q^{2} t^{4} - 32 \, q^{4} t + 276 \, q^{3} t^{2} - 360 \, q^{2} t^{3} + 64 \, q t^{4} - t^{5} + 34 \, q^{3} t - 288 \, q^{2} t^{2} + 264 \, q t^{3} - 26 \, t^{4} - 24 \, q^{2} t + 144 \, q t^{2} - 66 \, t^{3} + 8 \, q t - 26 \, t^{2} - t}{q^{7} {\left(t - 1\right)}^{6}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 3 edges: | [[4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{7} t^{4} + 26 \, q^{7} t^{3} - 6 \, q^{6} t^{4} + 66 \, q^{7} t^{2} - 108 \, q^{6} t^{3} + 8 \, q^{5} t^{4} + 26 \, q^{7} t - 198 \, q^{6} t^{2} + 72 \, q^{5} t^{3} + 16 \, q^{4} t^{4} + q^{7} - 48 \, q^{6} t + 48 \, q^{5} t^{2} + 228 \, q^{4} t^{3} - 44 \, q^{3} t^{4} - 8 \, q^{5} t + 312 \, q^{4} t^{2} - 312 \, q^{3} t^{3} + 8 \, q^{2} t^{4} + 44 \, q^{4} t - 228 \, q^{3} t^{2} - 48 \, q^{2} t^{3} + 48 \, q t^{4} - t^{5} - 16 \, q^{3} t - 72 \, q^{2} t^{2} + 198 \, q t^{3} - 26 \, t^{4} - 8 \, q^{2} t + 108 \, q t^{2} - 66 \, t^{3} + 6 \, q t - 26 \, t^{2} - t}{q^{7} {\left(t - 1\right)}^{6}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 2 edges: | [[3, 6], [4, 5]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{12} t^{3} - 5 \, q^{11} t^{4} + 4 \, q^{10} t^{5} - 44 \, q^{9} t^{6} - 5 \, q^{8} t^{7} + q^{7} t^{8} + 11 \, q^{12} t^{2} - 53 \, q^{11} t^{3} + 130 \, q^{10} t^{4} + 76 \, q^{9} t^{5} + 185 \, q^{8} t^{6} + 89 \, q^{7} t^{7} - 6 \, q^{6} t^{8} + 11 \, q^{12} t - 41 \, q^{11} t^{2} - 50 \, q^{10} t^{3} - 140 \, q^{9} t^{4} - 985 \, q^{8} t^{5} - 145 \, q^{7} t^{6} - 384 \, q^{6} t^{7} + 6 \, q^{5} t^{8} + q^{12} + 3 \, q^{11} t - 96 \, q^{10} t^{2} + 1048 \, q^{9} t^{3} - 479 \, q^{8} t^{4} + 2899 \, q^{7} t^{5} - 2 \, q^{6} t^{6} + 626 \, q^{5} t^{7} + 32 \, q^{4} t^{8} - 84 \, q^{10} t + 214 \, q^{9} t^{2} - 1910 \, q^{8} t^{3} - 206 \, q^{7} t^{4} - 2820 \, q^{6} t^{5} - 874 \, q^{5} t^{6} - 274 \, q^{4} t^{7} - 94 \, q^{3} t^{8} + 94 \, q^{9} t + 274 \, q^{8} t^{2} + 874 \, q^{7} t^{3} + 2820 \, q^{6} t^{4} + 206 \, q^{5} t^{5} + 1910 \, q^{4} t^{6} - 214 \, q^{3} t^{7} + 84 \, q^{2} t^{8} - 32 \, q^{8} t - 626 \, q^{7} t^{2} + 2 \, q^{6} t^{3} - 2899 \, q^{5} t^{4} + 479 \, q^{4} t^{5} - 1048 \, q^{3} t^{6} + 96 \, q^{2} t^{7} - 3 \, q t^{8} - t^{9} - 6 \, q^{7} t + 384 \, q^{6} t^{2} + 145 \, q^{5} t^{3} + 985 \, q^{4} t^{4} + 140 \, q^{3} t^{5} + 50 \, q^{2} t^{6} + 41 \, q t^{7} - 11 \, t^{8} + 6 \, q^{6} t - 89 \, q^{5} t^{2} - 185 \, q^{4} t^{3} - 76 \, q^{3} t^{4} - 130 \, q^{2} t^{5} + 53 \, q t^{6} - 11 \, t^{7} - q^{5} t + 5 \, q^{4} t^{2} + 44 \, q^{3} t^{3} - 4 \, q^{2} t^{4} + 5 \, q t^{5} - t^{6}}{{\left(q - t\right)}^{5} q^{7} {\left(t - 1\right)}^{5}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 3 edges: | [[3, 6], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{11} t^{3} - 4 \, q^{10} t^{4} + 4 \, q^{9} t^{5} - 12 \, q^{8} t^{6} - q^{7} t^{7} + 11 \, q^{11} t^{2} - 46 \, q^{10} t^{3} + 84 \, q^{9} t^{4} - 18 \, q^{8} t^{5} + 45 \, q^{7} t^{6} + 8 \, q^{6} t^{7} + 11 \, q^{11} t - 58 \, q^{10} t^{2} + 92 \, q^{9} t^{3} - 158 \, q^{8} t^{4} - 93 \, q^{7} t^{5} - 12 \, q^{6} t^{6} - 22 \, q^{5} t^{7} + q^{11} - 12 \, q^{10} t + 16 \, q^{9} t^{2} + 202 \, q^{8} t^{3} - 145 \, q^{7} t^{4} + 364 \, q^{6} t^{5} - 108 \, q^{5} t^{6} + 18 \, q^{4} t^{7} - 28 \, q^{9} t + 88 \, q^{8} t^{2} - 410 \, q^{7} t^{3} + 258 \, q^{6} t^{4} - 152 \, q^{5} t^{5} + 58 \, q^{4} t^{6} + 18 \, q^{3} t^{7} + 18 \, q^{8} t + 58 \, q^{7} t^{2} - 152 \, q^{6} t^{3} + 258 \, q^{5} t^{4} - 410 \, q^{4} t^{5} + 88 \, q^{3} t^{6} - 28 \, q^{2} t^{7} + 18 \, q^{7} t - 108 \, q^{6} t^{2} + 364 \, q^{5} t^{3} - 145 \, q^{4} t^{4} + 202 \, q^{3} t^{5} + 16 \, q^{2} t^{6} - 12 \, q t^{7} + t^{8} - 22 \, q^{6} t - 12 \, q^{5} t^{2} - 93 \, q^{4} t^{3} - 158 \, q^{3} t^{4} + 92 \, q^{2} t^{5} - 58 \, q t^{6} + 11 \, t^{7} + 8 \, q^{5} t + 45 \, q^{4} t^{2} - 18 \, q^{3} t^{3} + 84 \, q^{2} t^{4} - 46 \, q t^{5} + 11 \, t^{6} - q^{4} t - 12 \, q^{3} t^{2} + 4 \, q^{2} t^{3} - 4 \, q t^{4} + t^{5}}{{\left(q - t\right)}^{4} q^{7} {\left(t - 1\right)}^{5}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 4 edges: | [[3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{12} t^{2} - 5 \, q^{11} t^{3} + 30 \, q^{10} t^{4} + 34 \, q^{9} t^{5} - 11 \, q^{8} t^{6} - q^{7} t^{7} + 4 \, q^{12} t - 8 \, q^{11} t^{2} - 100 \, q^{10} t^{3} - 68 \, q^{9} t^{4} - 240 \, q^{8} t^{5} + 20 \, q^{7} t^{6} + 8 \, q^{6} t^{7} + q^{12} + 19 \, q^{11} t - 14 \, q^{10} t^{2} + 510 \, q^{9} t^{3} + 213 \, q^{8} t^{4} + 499 \, q^{7} t^{5} + 136 \, q^{6} t^{6} - 20 \, q^{5} t^{7} - 78 \, q^{10} t - 118 \, q^{9} t^{2} - 644 \, q^{8} t^{3} - 1040 \, q^{7} t^{4} - 330 \, q^{6} t^{5} - 482 \, q^{5} t^{6} + 4 \, q^{4} t^{7} + 56 \, q^{9} t + 504 \, q^{8} t^{2} + 220 \, q^{7} t^{3} + 1800 \, q^{6} t^{4} + 220 \, q^{5} t^{5} + 504 \, q^{4} t^{6} + 56 \, q^{3} t^{7} + 4 \, q^{8} t - 482 \, q^{7} t^{2} - 330 \, q^{6} t^{3} - 1040 \, q^{5} t^{4} - 644 \, q^{4} t^{5} - 118 \, q^{3} t^{6} - 78 \, q^{2} t^{7} - 20 \, q^{7} t + 136 \, q^{6} t^{2} + 499 \, q^{5} t^{3} + 213 \, q^{4} t^{4} + 510 \, q^{3} t^{5} - 14 \, q^{2} t^{6} + 19 \, q t^{7} + t^{8} + 8 \, q^{6} t + 20 \, q^{5} t^{2} - 240 \, q^{4} t^{3} - 68 \, q^{3} t^{4} - 100 \, q^{2} t^{5} - 8 \, q t^{6} + 4 \, t^{7} - q^{5} t - 11 \, q^{4} t^{2} + 34 \, q^{3} t^{3} + 30 \, q^{2} t^{4} - 5 \, q t^{5} + t^{6}}{{\left(q - t\right)}^{5} q^{7} {\left(t - 1\right)}^{4}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 4 edges: | [[2, 6], [3, 6], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{11} t^{2} - 4 \, q^{10} t^{3} + 18 \, q^{9} t^{4} + 20 \, q^{8} t^{5} + q^{7} t^{6} + 4 \, q^{11} t - 8 \, q^{10} t^{2} - 56 \, q^{9} t^{3} - 48 \, q^{8} t^{4} - 100 \, q^{7} t^{5} - 8 \, q^{6} t^{6} + q^{11} + 12 \, q^{10} t - 10 \, q^{9} t^{2} + 274 \, q^{8} t^{3} + 63 \, q^{7} t^{4} + 142 \, q^{6} t^{5} + 22 \, q^{5} t^{6} - 54 \, q^{9} t - 24 \, q^{8} t^{2} - 284 \, q^{7} t^{3} - 144 \, q^{6} t^{4} + 18 \, q^{5} t^{5} - 16 \, q^{4} t^{6} + 30 \, q^{8} t + 142 \, q^{7} t^{2} - 76 \, q^{6} t^{3} + 76 \, q^{5} t^{4} - 142 \, q^{4} t^{5} - 30 \, q^{3} t^{6} + 16 \, q^{7} t - 18 \, q^{6} t^{2} + 144 \, q^{5} t^{3} + 284 \, q^{4} t^{4} + 24 \, q^{3} t^{5} + 54 \, q^{2} t^{6} - 22 \, q^{6} t - 142 \, q^{5} t^{2} - 63 \, q^{4} t^{3} - 274 \, q^{3} t^{4} + 10 \, q^{2} t^{5} - 12 \, q t^{6} - t^{7} + 8 \, q^{5} t + 100 \, q^{4} t^{2} + 48 \, q^{3} t^{3} + 56 \, q^{2} t^{4} + 8 \, q t^{5} - 4 \, t^{6} - q^{4} t - 20 \, q^{3} t^{2} - 18 \, q^{2} t^{3} + 4 \, q t^{4} - t^{5}}{{\left(q - t\right)}^{4} q^{7} {\left(t - 1\right)}^{4}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 5 edges: | [[2, 6], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{12} t - 5 \, q^{11} t^{2} - 56 \, q^{10} t^{3} - 8 \, q^{9} t^{4} + 19 \, q^{8} t^{5} + q^{7} t^{6} + q^{12} + 25 \, q^{11} t + 42 \, q^{10} t^{2} + 206 \, q^{9} t^{3} + 153 \, q^{8} t^{4} - 83 \, q^{7} t^{5} - 8 \, q^{6} t^{6} - 72 \, q^{10} t - 254 \, q^{9} t^{2} - 232 \, q^{8} t^{3} - 516 \, q^{7} t^{4} + 44 \, q^{6} t^{5} + 22 \, q^{5} t^{6} + 40 \, q^{9} t + 500 \, q^{8} t^{2} + 274 \, q^{7} t^{3} + 598 \, q^{6} t^{4} + 282 \, q^{5} t^{5} - 14 \, q^{4} t^{6} + 14 \, q^{8} t - 282 \, q^{7} t^{2} - 598 \, q^{6} t^{3} - 274 \, q^{5} t^{4} - 500 \, q^{4} t^{5} - 40 \, q^{3} t^{6} - 22 \, q^{7} t - 44 \, q^{6} t^{2} + 516 \, q^{5} t^{3} + 232 \, q^{4} t^{4} + 254 \, q^{3} t^{5} + 72 \, q^{2} t^{6} + 8 \, q^{6} t + 83 \, q^{5} t^{2} - 153 \, q^{4} t^{3} - 206 \, q^{3} t^{4} - 42 \, q^{2} t^{5} - 25 \, q t^{6} - t^{7} - q^{5} t - 19 \, q^{4} t^{2} + 8 \, q^{3} t^{3} + 56 \, q^{2} t^{4} + 5 \, q t^{5} - t^{6}}{{\left(q - t\right)}^{5} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 5 edges: | [[1, 6], [2, 6], [3, 6], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{11} t - 4 \, q^{10} t^{2} - 44 \, q^{9} t^{3} - 24 \, q^{8} t^{4} - q^{7} t^{5} + q^{11} + 22 \, q^{10} t + 38 \, q^{9} t^{2} + 162 \, q^{8} t^{3} + 129 \, q^{7} t^{4} + 8 \, q^{6} t^{5} - 62 \, q^{9} t - 170 \, q^{8} t^{2} - 180 \, q^{7} t^{3} - 214 \, q^{6} t^{4} - 22 \, q^{5} t^{5} + 32 \, q^{8} t + 234 \, q^{7} t^{2} + 52 \, q^{6} t^{3} + 26 \, q^{5} t^{4} + 16 \, q^{4} t^{5} + 16 \, q^{7} t + 26 \, q^{6} t^{2} + 52 \, q^{5} t^{3} + 234 \, q^{4} t^{4} + 32 \, q^{3} t^{5} - 22 \, q^{6} t - 214 \, q^{5} t^{2} - 180 \, q^{4} t^{3} - 170 \, q^{3} t^{4} - 62 \, q^{2} t^{5} + 8 \, q^{5} t + 129 \, q^{4} t^{2} + 162 \, q^{3} t^{3} + 38 \, q^{2} t^{4} + 22 \, q t^{5} + t^{6} - q^{4} t - 24 \, q^{3} t^{2} - 44 \, q^{2} t^{3} - 4 \, q t^{4} + t^{5}}{{\left(q - t\right)}^{4} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 6 edges: | [[1, 6], [2, 6], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{12} + 27 \, q^{11} t + 62 \, q^{10} t^{2} - 18 \, q^{9} t^{3} - 23 \, q^{8} t^{4} - q^{7} t^{5} - 68 \, q^{10} t - 308 \, q^{9} t^{2} - 36 \, q^{8} t^{3} + 116 \, q^{7} t^{4} + 8 \, q^{6} t^{5} + 34 \, q^{9} t + 460 \, q^{8} t^{2} + 396 \, q^{7} t^{3} - 148 \, q^{6} t^{4} - 22 \, q^{5} t^{5} + 16 \, q^{8} t - 144 \, q^{7} t^{2} - 704 \, q^{6} t^{3} - 144 \, q^{5} t^{4} + 16 \, q^{4} t^{5} - 22 \, q^{7} t - 148 \, q^{6} t^{2} + 396 \, q^{5} t^{3} + 460 \, q^{4} t^{4} + 34 \, q^{3} t^{5} + 8 \, q^{6} t + 116 \, q^{5} t^{2} - 36 \, q^{4} t^{3} - 308 \, q^{3} t^{4} - 68 \, q^{2} t^{5} - q^{5} t - 23 \, q^{4} t^{2} - 18 \, q^{3} t^{3} + 62 \, q^{2} t^{4} + 27 \, q t^{5} + t^{6}}{{\left(q - t\right)}^{5} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 6 edges: | [[0, 6], [1, 6], [2, 6], [3, 6], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{11} + 26 \, q^{10} t + 66 \, q^{9} t^{2} + 26 \, q^{8} t^{3} + q^{7} t^{4} - 64 \, q^{9} t - 264 \, q^{8} t^{2} - 144 \, q^{7} t^{3} - 8 \, q^{6} t^{4} + 32 \, q^{8} t + 294 \, q^{7} t^{2} + 252 \, q^{6} t^{3} + 22 \, q^{5} t^{4} + 16 \, q^{7} t + 48 \, q^{6} t^{2} - 48 \, q^{5} t^{3} - 16 \, q^{4} t^{4} - 22 \, q^{6} t - 252 \, q^{5} t^{2} - 294 \, q^{4} t^{3} - 32 \, q^{3} t^{4} + 8 \, q^{5} t + 144 \, q^{4} t^{2} + 264 \, q^{3} t^{3} + 64 \, q^{2} t^{4} - q^{4} t - 26 \, q^{3} t^{2} - 66 \, q^{2} t^{3} - 26 \, q t^{4} - t^{5}}{{\left(q - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[0, 6], [1, 6], [2, 6], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{15} t^{3} + 11 \, q^{15} t^{2} - 6 \, q^{14} t^{3} - 4 \, q^{13} t^{4} + 11 \, q^{15} t - 42 \, q^{14} t^{2} - 24 \, q^{13} t^{3} + 24 \, q^{12} t^{4} + 2 \, q^{11} t^{5} + q^{15} - 24 \, q^{14} t + 60 \, q^{13} t^{2} + 96 \, q^{12} t^{3} + 6 \, q^{11} t^{4} - 28 \, q^{10} t^{5} - 20 \, q^{9} t^{6} + 40 \, q^{13} t - 222 \, q^{12} t^{2} - 180 \, q^{11} t^{3} - 8 \, q^{10} t^{4} + 144 \, q^{9} t^{5} + 104 \, q^{8} t^{6} - 3 \, q^{7} t^{7} - 114 \, q^{12} t + 532 \, q^{11} t^{2} + 840 \, q^{10} t^{3} - 352 \, q^{9} t^{4} - 632 \, q^{8} t^{5} - 217 \, q^{7} t^{6} + 26 \, q^{6} t^{7} + 144 \, q^{11} t - 500 \, q^{10} t^{2} - 1872 \, q^{9} t^{3} + 369 \, q^{8} t^{4} + 1603 \, q^{7} t^{5} + 322 \, q^{6} t^{6} - 88 \, q^{5} t^{7} - 88 \, q^{10} t + 322 \, q^{9} t^{2} + 1603 \, q^{8} t^{3} + 369 \, q^{7} t^{4} - 1872 \, q^{6} t^{5} - 500 \, q^{5} t^{6} + 144 \, q^{4} t^{7} + 26 \, q^{9} t - 217 \, q^{8} t^{2} - 632 \, q^{7} t^{3} - 352 \, q^{6} t^{4} + 840 \, q^{5} t^{5} + 532 \, q^{4} t^{6} - 114 \, q^{3} t^{7} - 3 \, q^{8} t + 104 \, q^{7} t^{2} + 144 \, q^{6} t^{3} - 8 \, q^{5} t^{4} - 180 \, q^{4} t^{5} - 222 \, q^{3} t^{6} + 40 \, q^{2} t^{7} - 20 \, q^{6} t^{2} - 28 \, q^{5} t^{3} + 6 \, q^{4} t^{4} + 96 \, q^{3} t^{5} + 60 \, q^{2} t^{6} - 24 \, q t^{7} + t^{8} + 2 \, q^{4} t^{3} + 24 \, q^{3} t^{4} - 24 \, q^{2} t^{5} - 42 \, q t^{6} + 11 \, t^{7} - 4 \, q^{2} t^{4} - 6 \, q t^{5} + 11 \, t^{6} + t^{5}}{{\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{5}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 4 edges: | [[3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{15} t^{3} + 11 \, q^{15} t^{2} - 6 \, q^{14} t^{3} - 4 \, q^{13} t^{4} + 11 \, q^{15} t - 42 \, q^{14} t^{2} - 28 \, q^{13} t^{3} + 24 \, q^{12} t^{4} + 4 \, q^{11} t^{5} + q^{15} - 24 \, q^{14} t + 32 \, q^{13} t^{2} + 128 \, q^{12} t^{3} + 12 \, q^{11} t^{4} - 32 \, q^{10} t^{5} - 12 \, q^{9} t^{6} + 24 \, q^{13} t - 70 \, q^{12} t^{2} - 154 \, q^{11} t^{3} - 114 \, q^{10} t^{4} + 86 \, q^{9} t^{5} + 64 \, q^{8} t^{6} - q^{7} t^{7} - 58 \, q^{12} t + 238 \, q^{11} t^{2} + 382 \, q^{10} t^{3} - 50 \, q^{9} t^{4} - 256 \, q^{8} t^{5} - 127 \, q^{7} t^{6} + 10 \, q^{6} t^{7} + 68 \, q^{11} t - 222 \, q^{10} t^{2} - 886 \, q^{9} t^{3} + 167 \, q^{8} t^{4} + 705 \, q^{7} t^{5} + 156 \, q^{6} t^{6} - 38 \, q^{5} t^{7} - 38 \, q^{10} t + 156 \, q^{9} t^{2} + 705 \, q^{8} t^{3} + 167 \, q^{7} t^{4} - 886 \, q^{6} t^{5} - 222 \, q^{5} t^{6} + 68 \, q^{4} t^{7} + 10 \, q^{9} t - 127 \, q^{8} t^{2} - 256 \, q^{7} t^{3} - 50 \, q^{6} t^{4} + 382 \, q^{5} t^{5} + 238 \, q^{4} t^{6} - 58 \, q^{3} t^{7} - q^{8} t + 64 \, q^{7} t^{2} + 86 \, q^{6} t^{3} - 114 \, q^{5} t^{4} - 154 \, q^{4} t^{5} - 70 \, q^{3} t^{6} + 24 \, q^{2} t^{7} - 12 \, q^{6} t^{2} - 32 \, q^{5} t^{3} + 12 \, q^{4} t^{4} + 128 \, q^{3} t^{5} + 32 \, q^{2} t^{6} - 24 \, q t^{7} + t^{8} + 4 \, q^{4} t^{3} + 24 \, q^{3} t^{4} - 28 \, q^{2} t^{5} - 42 \, q t^{6} + 11 \, t^{7} - 4 \, q^{2} t^{4} - 6 \, q t^{5} + 11 \, t^{6} + t^{5}}{{\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{5}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 5 edges: | [[3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} t^{2} - 5 \, q^{17} t^{3} + 22 \, q^{16} t^{4} + 10 \, q^{15} t^{5} - 5 \, q^{14} t^{6} + q^{13} t^{7} + 4 \, q^{18} t - 12 \, q^{17} t^{2} - 51 \, q^{16} t^{3} - 5 \, q^{15} t^{4} - 202 \, q^{14} t^{5} - 10 \, q^{13} t^{6} + 15 \, q^{12} t^{7} - 3 \, q^{11} t^{8} + q^{18} + 11 \, q^{17} t - 30 \, q^{16} t^{2} + 332 \, q^{15} t^{3} + 170 \, q^{14} t^{4} + 372 \, q^{13} t^{5} + 510 \, q^{12} t^{6} - 26 \, q^{11} t^{7} - 25 \, q^{10} t^{8} + 5 \, q^{9} t^{9} - 49 \, q^{16} t - 67 \, q^{15} t^{2} - 248 \, q^{14} t^{3} - 1504 \, q^{13} t^{4} - 322 \, q^{12} t^{5} - 1302 \, q^{11} t^{6} - 584 \, q^{10} t^{7} + 122 \, q^{9} t^{8} - 7 \, q^{8} t^{9} + q^{7} t^{10} + 6 \, q^{15} t + 453 \, q^{14} t^{2} + 99 \, q^{13} t^{3} + 2004 \, q^{12} t^{4} + 2526 \, q^{11} t^{5} + 927 \, q^{10} t^{6} + 1747 \, q^{9} t^{7} + 198 \, q^{8} t^{8} - 30 \, q^{7} t^{9} - 10 \, q^{6} t^{10} + 42 \, q^{14} t - 352 \, q^{13} t^{2} - 1197 \, q^{12} t^{3} - 369 \, q^{11} t^{4} - 4790 \, q^{10} t^{5} - 2064 \, q^{9} t^{6} - 1165 \, q^{8} t^{7} - 1197 \, q^{7} t^{8} - 30 \, q^{6} t^{9} + 34 \, q^{5} t^{10} - 34 \, q^{13} t + 30 \, q^{12} t^{2} + 1197 \, q^{11} t^{3} + 1165 \, q^{10} t^{4} + 2064 \, q^{9} t^{5} + 4790 \, q^{8} t^{6} + 369 \, q^{7} t^{7} + 1197 \, q^{6} t^{8} + 352 \, q^{5} t^{9} - 42 \, q^{4} t^{10} + 10 \, q^{12} t + 30 \, q^{11} t^{2} - 198 \, q^{10} t^{3} - 1747 \, q^{9} t^{4} - 927 \, q^{8} t^{5} - 2526 \, q^{7} t^{6} - 2004 \, q^{6} t^{7} - 99 \, q^{5} t^{8} - 453 \, q^{4} t^{9} - 6 \, q^{3} t^{10} - q^{11} t + 7 \, q^{10} t^{2} - 122 \, q^{9} t^{3} + 584 \, q^{8} t^{4} + 1302 \, q^{7} t^{5} + 322 \, q^{6} t^{6} + 1504 \, q^{5} t^{7} + 248 \, q^{4} t^{8} + 67 \, q^{3} t^{9} + 49 \, q^{2} t^{10} - 5 \, q^{9} t^{2} + 25 \, q^{8} t^{3} + 26 \, q^{7} t^{4} - 510 \, q^{6} t^{5} - 372 \, q^{5} t^{6} - 170 \, q^{4} t^{7} - 332 \, q^{3} t^{8} + 30 \, q^{2} t^{9} - 11 \, q t^{10} - t^{11} + 3 \, q^{7} t^{3} - 15 \, q^{6} t^{4} + 10 \, q^{5} t^{5} + 202 \, q^{4} t^{6} + 5 \, q^{3} t^{7} + 51 \, q^{2} t^{8} + 12 \, q t^{9} - 4 \, t^{10} - q^{5} t^{4} + 5 \, q^{4} t^{5} - 10 \, q^{3} t^{6} - 22 \, q^{2} t^{7} + 5 \, q t^{8} - t^{9}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{5} q^{7} {\left(t - 1\right)}^{4}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 4 edges: | [[2, 6], [3, 5], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} t^{2} - 4 \, q^{16} t^{3} + 12 \, q^{15} t^{4} + 4 \, q^{14} t^{5} - q^{13} t^{6} + 4 \, q^{17} t - 12 \, q^{16} t^{2} - 19 \, q^{15} t^{3} - 72 \, q^{13} t^{5} - 12 \, q^{12} t^{6} + 3 \, q^{11} t^{7} + q^{17} + 4 \, q^{16} t - 16 \, q^{15} t^{2} + 140 \, q^{14} t^{3} + 38 \, q^{13} t^{4} + 88 \, q^{12} t^{5} + 150 \, q^{11} t^{6} + 20 \, q^{10} t^{7} - 5 \, q^{9} t^{8} - 25 \, q^{15} t - 16 \, q^{14} t^{2} - 2 \, q^{13} t^{3} - 474 \, q^{12} t^{4} + 40 \, q^{11} t^{5} - 240 \, q^{10} t^{6} - 188 \, q^{9} t^{7} + 6 \, q^{8} t^{8} - q^{7} t^{9} - 20 \, q^{14} t + 181 \, q^{13} t^{2} - 176 \, q^{12} t^{3} + 266 \, q^{11} t^{4} + 516 \, q^{10} t^{5} - 53 \, q^{9} t^{6} + 294 \, q^{8} t^{7} + 62 \, q^{7} t^{8} + 10 \, q^{6} t^{9} + 54 \, q^{13} t - 20 \, q^{12} t^{2} - 321 \, q^{11} t^{3} + 782 \, q^{10} t^{4} - 702 \, q^{9} t^{5} - 258 \, q^{8} t^{6} + 133 \, q^{7} t^{7} - 136 \, q^{6} t^{8} - 36 \, q^{5} t^{9} - 36 \, q^{12} t - 136 \, q^{11} t^{2} + 133 \, q^{10} t^{3} - 258 \, q^{9} t^{4} - 702 \, q^{8} t^{5} + 782 \, q^{7} t^{6} - 321 \, q^{6} t^{7} - 20 \, q^{5} t^{8} + 54 \, q^{4} t^{9} + 10 \, q^{11} t + 62 \, q^{10} t^{2} + 294 \, q^{9} t^{3} - 53 \, q^{8} t^{4} + 516 \, q^{7} t^{5} + 266 \, q^{6} t^{6} - 176 \, q^{5} t^{7} + 181 \, q^{4} t^{8} - 20 \, q^{3} t^{9} - q^{10} t + 6 \, q^{9} t^{2} - 188 \, q^{8} t^{3} - 240 \, q^{7} t^{4} + 40 \, q^{6} t^{5} - 474 \, q^{5} t^{6} - 2 \, q^{4} t^{7} - 16 \, q^{3} t^{8} - 25 \, q^{2} t^{9} - 5 \, q^{8} t^{2} + 20 \, q^{7} t^{3} + 150 \, q^{6} t^{4} + 88 \, q^{5} t^{5} + 38 \, q^{4} t^{6} + 140 \, q^{3} t^{7} - 16 \, q^{2} t^{8} + 4 \, q t^{9} + t^{10} + 3 \, q^{6} t^{3} - 12 \, q^{5} t^{4} - 72 \, q^{4} t^{5} - 19 \, q^{2} t^{7} - 12 \, q t^{8} + 4 \, t^{9} - q^{4} t^{4} + 4 \, q^{3} t^{5} + 12 \, q^{2} t^{6} - 4 \, q t^{7} + t^{8}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{4} q^{7} {\left(t - 1\right)}^{4}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 5 edges: | [[2, 6], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} t^{2} - 3 \, q^{17} t^{3} + 5 \, q^{16} t^{4} + q^{15} t^{5} + 4 \, q^{18} t - 12 \, q^{17} t^{2} + 6 \, q^{15} t^{4} - 22 \, q^{14} t^{5} - 4 \, q^{13} t^{6} + q^{18} - 3 \, q^{17} t - 3 \, q^{16} t^{2} + 43 \, q^{15} t^{3} - 10 \, q^{14} t^{4} - 12 \, q^{13} t^{5} + 44 \, q^{12} t^{6} + 4 \, q^{11} t^{7} - 2 \, q^{16} t - 28 \, q^{15} t^{2} + 94 \, q^{14} t^{3} - 98 \, q^{13} t^{4} + 82 \, q^{12} t^{5} - 16 \, q^{11} t^{6} - 12 \, q^{9} t^{8} - 46 \, q^{15} t + 166 \, q^{14} t^{2} - 226 \, q^{13} t^{3} - 326 \, q^{12} t^{4} + 278 \, q^{11} t^{5} - 161 \, q^{10} t^{6} - 163 \, q^{9} t^{7} + 59 \, q^{8} t^{8} - q^{7} t^{9} + 66 \, q^{14} t - 78 \, q^{13} t^{2} - 22 \, q^{12} t^{3} + 924 \, q^{11} t^{4} - 290 \, q^{10} t^{5} + 44 \, q^{9} t^{6} + 464 \, q^{8} t^{7} - 86 \, q^{7} t^{8} + 10 \, q^{6} t^{9} - 38 \, q^{13} t + 38 \, q^{12} t^{2} - 311 \, q^{11} t^{3} - 198 \, q^{10} t^{4} - 326 \, q^{9} t^{5} - 198 \, q^{8} t^{6} - 311 \, q^{7} t^{7} + 38 \, q^{6} t^{8} - 38 \, q^{5} t^{9} + 10 \, q^{12} t - 86 \, q^{11} t^{2} + 464 \, q^{10} t^{3} + 44 \, q^{9} t^{4} - 290 \, q^{8} t^{5} + 924 \, q^{7} t^{6} - 22 \, q^{6} t^{7} - 78 \, q^{5} t^{8} + 66 \, q^{4} t^{9} - q^{11} t + 59 \, q^{10} t^{2} - 163 \, q^{9} t^{3} - 161 \, q^{8} t^{4} + 278 \, q^{7} t^{5} - 326 \, q^{6} t^{6} - 226 \, q^{5} t^{7} + 166 \, q^{4} t^{8} - 46 \, q^{3} t^{9} - 12 \, q^{9} t^{2} - 16 \, q^{7} t^{4} + 82 \, q^{6} t^{5} - 98 \, q^{5} t^{6} + 94 \, q^{4} t^{7} - 28 \, q^{3} t^{8} - 2 \, q^{2} t^{9} + 4 \, q^{7} t^{3} + 44 \, q^{6} t^{4} - 12 \, q^{5} t^{5} - 10 \, q^{4} t^{6} + 43 \, q^{3} t^{7} - 3 \, q^{2} t^{8} - 3 \, q t^{9} + t^{10} - 4 \, q^{5} t^{4} - 22 \, q^{4} t^{5} + 6 \, q^{3} t^{6} - 12 \, q t^{8} + 4 \, t^{9} + q^{3} t^{5} + 5 \, q^{2} t^{6} - 3 \, q t^{7} + t^{8}}{{\left(q^{2} - t\right)}^{4} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{4}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 6 edges: | [[2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} t^{2} - 3 \, q^{13} t^{3} + 7 \, q^{12} t^{4} + 3 \, q^{11} t^{5} + 4 \, q^{14} t - 6 \, q^{13} t^{2} - 24 \, q^{12} t^{3} + 4 \, q^{11} t^{4} - 12 \, q^{10} t^{5} - 6 \, q^{9} t^{6} + q^{14} + 9 \, q^{13} t - 21 \, q^{12} t^{2} + 79 \, q^{11} t^{3} - 3 \, q^{10} t^{4} - 35 \, q^{9} t^{5} + 11 \, q^{8} t^{6} - q^{7} t^{7} - 34 \, q^{12} t - 14 \, q^{11} t^{2} + 130 \, q^{10} t^{3} - 96 \, q^{9} t^{4} + 102 \, q^{8} t^{5} + 62 \, q^{7} t^{6} + 10 \, q^{6} t^{7} - 12 \, q^{11} t + 109 \, q^{10} t^{2} - 327 \, q^{9} t^{3} - 153 \, q^{8} t^{4} + 35 \, q^{7} t^{5} - 176 \, q^{6} t^{6} - 36 \, q^{5} t^{7} + 52 \, q^{10} t + 68 \, q^{9} t^{2} - 4 \, q^{8} t^{3} + 552 \, q^{7} t^{4} - 4 \, q^{6} t^{5} + 68 \, q^{5} t^{6} + 52 \, q^{4} t^{7} - 36 \, q^{9} t - 176 \, q^{8} t^{2} + 35 \, q^{7} t^{3} - 153 \, q^{6} t^{4} - 327 \, q^{5} t^{5} + 109 \, q^{4} t^{6} - 12 \, q^{3} t^{7} + 10 \, q^{8} t + 62 \, q^{7} t^{2} + 102 \, q^{6} t^{3} - 96 \, q^{5} t^{4} + 130 \, q^{4} t^{5} - 14 \, q^{3} t^{6} - 34 \, q^{2} t^{7} - q^{7} t + 11 \, q^{6} t^{2} - 35 \, q^{5} t^{3} - 3 \, q^{4} t^{4} + 79 \, q^{3} t^{5} - 21 \, q^{2} t^{6} + 9 \, q t^{7} + t^{8} - 6 \, q^{5} t^{2} - 12 \, q^{4} t^{3} + 4 \, q^{3} t^{4} - 24 \, q^{2} t^{5} - 6 \, q t^{6} + 4 \, t^{7} + 3 \, q^{3} t^{3} + 7 \, q^{2} t^{4} - 3 \, q t^{5} + t^{6}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{4}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 4 edges: | [[1, 6], [2, 6], [3, 5], [4, 5]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{16} t - 5 \, q^{15} t^{2} - 32 \, q^{14} t^{3} + 8 \, q^{13} t^{4} - q^{12} t^{5} - 3 \, q^{11} t^{6} + q^{16} + 17 \, q^{15} t + 12 \, q^{14} t^{2} + 118 \, q^{13} t^{3} + 147 \, q^{12} t^{4} - 13 \, q^{11} t^{5} + 6 \, q^{9} t^{7} - 42 \, q^{14} t - 156 \, q^{13} t^{2} - 105 \, q^{12} t^{3} - 655 \, q^{11} t^{4} - 240 \, q^{10} t^{5} + 58 \, q^{9} t^{6} - 13 \, q^{8} t^{7} + q^{7} t^{8} - 10 \, q^{13} t + 359 \, q^{12} t^{2} + 427 \, q^{11} t^{3} + 768 \, q^{10} t^{4} + 1112 \, q^{9} t^{5} + 83 \, q^{8} t^{6} - 41 \, q^{7} t^{7} - 10 \, q^{6} t^{8} + 52 \, q^{12} t - 136 \, q^{11} t^{2} - 1178 \, q^{10} t^{3} - 676 \, q^{9} t^{4} - 1392 \, q^{8} t^{5} - 824 \, q^{7} t^{6} + 86 \, q^{6} t^{7} + 36 \, q^{5} t^{8} - 36 \, q^{11} t - 86 \, q^{10} t^{2} + 824 \, q^{9} t^{3} + 1392 \, q^{8} t^{4} + 676 \, q^{7} t^{5} + 1178 \, q^{6} t^{6} + 136 \, q^{5} t^{7} - 52 \, q^{4} t^{8} + 10 \, q^{10} t + 41 \, q^{9} t^{2} - 83 \, q^{8} t^{3} - 1112 \, q^{7} t^{4} - 768 \, q^{6} t^{5} - 427 \, q^{5} t^{6} - 359 \, q^{4} t^{7} + 10 \, q^{3} t^{8} - q^{9} t + 13 \, q^{8} t^{2} - 58 \, q^{7} t^{3} + 240 \, q^{6} t^{4} + 655 \, q^{5} t^{5} + 105 \, q^{4} t^{6} + 156 \, q^{3} t^{7} + 42 \, q^{2} t^{8} - 6 \, q^{7} t^{2} + 13 \, q^{5} t^{4} - 147 \, q^{4} t^{5} - 118 \, q^{3} t^{6} - 12 \, q^{2} t^{7} - 17 \, q t^{8} - t^{9} + 3 \, q^{5} t^{3} + q^{4} t^{4} - 8 \, q^{3} t^{5} + 32 \, q^{2} t^{6} + 5 \, q t^{7} - t^{8}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{5} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 5 edges: | [[1, 6], [2, 6], [3, 5], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{17} t - 4 \, q^{16} t^{2} - 14 \, q^{15} t^{3} + 4 \, q^{14} t^{4} + q^{13} t^{5} + q^{17} + 10 \, q^{16} t - q^{15} t^{2} + 44 \, q^{14} t^{3} + 59 \, q^{13} t^{4} - 14 \, q^{12} t^{5} - 3 \, q^{11} t^{6} - 19 \, q^{15} t - 50 \, q^{14} t^{2} + 13 \, q^{13} t^{3} - 190 \, q^{12} t^{4} - 83 \, q^{11} t^{5} - 4 \, q^{10} t^{6} + 9 \, q^{9} t^{7} - 36 \, q^{14} t + 91 \, q^{13} t^{2} + 96 \, q^{12} t^{3} - 53 \, q^{11} t^{4} + 340 \, q^{10} t^{5} + 169 \, q^{9} t^{6} - 32 \, q^{8} t^{7} + q^{7} t^{8} + 64 \, q^{13} t + 126 \, q^{12} t^{2} - 303 \, q^{11} t^{3} + 232 \, q^{10} t^{4} - 136 \, q^{9} t^{5} - 460 \, q^{8} t^{6} - 17 \, q^{7} t^{7} - 10 \, q^{6} t^{8} - 38 \, q^{12} t - 166 \, q^{11} t^{2} - 218 \, q^{10} t^{3} + 182 \, q^{9} t^{4} - 182 \, q^{8} t^{5} + 218 \, q^{7} t^{6} + 166 \, q^{6} t^{7} + 38 \, q^{5} t^{8} + 10 \, q^{11} t + 17 \, q^{10} t^{2} + 460 \, q^{9} t^{3} + 136 \, q^{8} t^{4} - 232 \, q^{7} t^{5} + 303 \, q^{6} t^{6} - 126 \, q^{5} t^{7} - 64 \, q^{4} t^{8} - q^{10} t + 32 \, q^{9} t^{2} - 169 \, q^{8} t^{3} - 340 \, q^{7} t^{4} + 53 \, q^{6} t^{5} - 96 \, q^{5} t^{6} - 91 \, q^{4} t^{7} + 36 \, q^{3} t^{8} - 9 \, q^{8} t^{2} + 4 \, q^{7} t^{3} + 83 \, q^{6} t^{4} + 190 \, q^{5} t^{5} - 13 \, q^{4} t^{6} + 50 \, q^{3} t^{7} + 19 \, q^{2} t^{8} + 3 \, q^{6} t^{3} + 14 \, q^{5} t^{4} - 59 \, q^{4} t^{5} - 44 \, q^{3} t^{6} + q^{2} t^{7} - 10 \, q t^{8} - t^{9} - q^{4} t^{4} - 4 \, q^{3} t^{5} + 14 \, q^{2} t^{6} + 4 \, q t^{7} - t^{8}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{4} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 6 edges: | [[1, 6], [2, 6], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{18} t - 3 \, q^{17} t^{2} - 9 \, q^{16} t^{3} - q^{15} t^{4} + q^{18} + 7 \, q^{17} t - q^{16} t^{2} + 23 \, q^{15} t^{3} + 38 \, q^{14} t^{4} + 4 \, q^{13} t^{5} - 10 \, q^{16} t - 34 \, q^{15} t^{2} + 40 \, q^{14} t^{3} - 44 \, q^{13} t^{4} - 68 \, q^{12} t^{5} - 4 \, q^{11} t^{6} - 44 \, q^{15} t + 46 \, q^{14} t^{2} - 56 \, q^{13} t^{3} - 238 \, q^{12} t^{4} + 92 \, q^{11} t^{5} + 8 \, q^{10} t^{6} + 12 \, q^{9} t^{7} + 66 \, q^{14} t + 126 \, q^{13} t^{2} + 170 \, q^{12} t^{3} + 352 \, q^{11} t^{4} + 251 \, q^{10} t^{5} + 169 \, q^{9} t^{6} - 55 \, q^{8} t^{7} + q^{7} t^{8} - 38 \, q^{13} t - 92 \, q^{12} t^{2} - 734 \, q^{11} t^{3} - 119 \, q^{10} t^{4} - 417 \, q^{9} t^{5} - 655 \, q^{8} t^{6} + 49 \, q^{7} t^{7} - 10 \, q^{6} t^{8} + 10 \, q^{12} t - 49 \, q^{11} t^{2} + 655 \, q^{10} t^{3} + 417 \, q^{9} t^{4} + 119 \, q^{8} t^{5} + 734 \, q^{7} t^{6} + 92 \, q^{6} t^{7} + 38 \, q^{5} t^{8} - q^{11} t + 55 \, q^{10} t^{2} - 169 \, q^{9} t^{3} - 251 \, q^{8} t^{4} - 352 \, q^{7} t^{5} - 170 \, q^{6} t^{6} - 126 \, q^{5} t^{7} - 66 \, q^{4} t^{8} - 12 \, q^{9} t^{2} - 8 \, q^{8} t^{3} - 92 \, q^{7} t^{4} + 238 \, q^{6} t^{5} + 56 \, q^{5} t^{6} - 46 \, q^{4} t^{7} + 44 \, q^{3} t^{8} + 4 \, q^{7} t^{3} + 68 \, q^{6} t^{4} + 44 \, q^{5} t^{5} - 40 \, q^{4} t^{6} + 34 \, q^{3} t^{7} + 10 \, q^{2} t^{8} - 4 \, q^{5} t^{4} - 38 \, q^{4} t^{5} - 23 \, q^{3} t^{6} + q^{2} t^{7} - 7 \, q t^{8} - t^{9} + q^{3} t^{5} + 9 \, q^{2} t^{6} + 3 \, q t^{7} - t^{8}}{{\left(q^{2} - t\right)}^{4} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[1, 6], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{14} t - 3 \, q^{13} t^{2} - 11 \, q^{12} t^{3} + q^{11} t^{4} + q^{14} + 13 \, q^{13} t + 7 \, q^{12} t^{2} + 5 \, q^{11} t^{3} + 12 \, q^{10} t^{4} + 10 \, q^{9} t^{5} - 22 \, q^{12} t - 44 \, q^{11} t^{2} + 91 \, q^{10} t^{3} + q^{9} t^{4} - 39 \, q^{8} t^{5} + q^{7} t^{6} - 34 \, q^{11} t - q^{10} t^{2} - 75 \, q^{9} t^{3} - 127 \, q^{8} t^{4} - 5 \, q^{7} t^{5} - 10 \, q^{6} t^{6} + 64 \, q^{10} t + 216 \, q^{9} t^{2} - 38 \, q^{8} t^{3} + 120 \, q^{7} t^{4} + 188 \, q^{6} t^{5} + 38 \, q^{5} t^{6} - 38 \, q^{9} t - 188 \, q^{8} t^{2} - 120 \, q^{7} t^{3} + 38 \, q^{6} t^{4} - 216 \, q^{5} t^{5} - 64 \, q^{4} t^{6} + 10 \, q^{8} t + 5 \, q^{7} t^{2} + 127 \, q^{6} t^{3} + 75 \, q^{5} t^{4} + q^{4} t^{5} + 34 \, q^{3} t^{6} - q^{7} t + 39 \, q^{6} t^{2} - q^{5} t^{3} - 91 \, q^{4} t^{4} + 44 \, q^{3} t^{5} + 22 \, q^{2} t^{6} - 10 \, q^{5} t^{2} - 12 \, q^{4} t^{3} - 5 \, q^{3} t^{4} - 7 \, q^{2} t^{5} - 13 \, q t^{6} - t^{7} - q^{3} t^{3} + 11 \, q^{2} t^{4} + 3 \, q t^{5} - t^{6}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 5 edges: | [[0, 6], [1, 6], [2, 6], [3, 5], [4, 5]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + 15 \, q^{15} t + 14 \, q^{14} t^{2} - 18 \, q^{13} t^{3} + 13 \, q^{12} t^{4} - q^{11} t^{5} - 24 \, q^{14} t - 130 \, q^{13} t^{2} - 40 \, q^{12} t^{3} + 4 \, q^{11} t^{4} + 8 \, q^{10} t^{5} - 10 \, q^{9} t^{6} - 34 \, q^{13} t + 197 \, q^{12} t^{2} + 539 \, q^{11} t^{3} + 18 \, q^{10} t^{4} - 88 \, q^{9} t^{5} + 41 \, q^{8} t^{6} - q^{7} t^{7} + 64 \, q^{12} t + 32 \, q^{11} t^{2} - 958 \, q^{10} t^{3} - 616 \, q^{9} t^{4} + 140 \, q^{8} t^{5} - 16 \, q^{7} t^{6} + 10 \, q^{6} t^{7} - 38 \, q^{11} t - 100 \, q^{10} t^{2} + 362 \, q^{9} t^{3} + 1232 \, q^{8} t^{4} + 362 \, q^{7} t^{5} - 100 \, q^{6} t^{6} - 38 \, q^{5} t^{7} + 10 \, q^{10} t - 16 \, q^{9} t^{2} + 140 \, q^{8} t^{3} - 616 \, q^{7} t^{4} - 958 \, q^{6} t^{5} + 32 \, q^{5} t^{6} + 64 \, q^{4} t^{7} - q^{9} t + 41 \, q^{8} t^{2} - 88 \, q^{7} t^{3} + 18 \, q^{6} t^{4} + 539 \, q^{5} t^{5} + 197 \, q^{4} t^{6} - 34 \, q^{3} t^{7} - 10 \, q^{7} t^{2} + 8 \, q^{6} t^{3} + 4 \, q^{5} t^{4} - 40 \, q^{4} t^{5} - 130 \, q^{3} t^{6} - 24 \, q^{2} t^{7} - q^{5} t^{3} + 13 \, q^{4} t^{4} - 18 \, q^{3} t^{5} + 14 \, q^{2} t^{6} + 15 \, q t^{7} + t^{8}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{5} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 6 edges: | [[0, 6], [1, 6], [2, 6], [3, 5], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 12 \, q^{16} t + 8 \, q^{15} t^{2} - 8 \, q^{14} t^{3} - q^{13} t^{4} - 15 \, q^{15} t - 66 \, q^{14} t^{2} - 38 \, q^{13} t^{3} + 34 \, q^{12} t^{4} + q^{11} t^{5} - 42 \, q^{14} t + 29 \, q^{13} t^{2} + 264 \, q^{12} t^{3} - 2 \, q^{11} t^{4} + 2 \, q^{10} t^{5} - 11 \, q^{9} t^{6} + 66 \, q^{13} t + 202 \, q^{12} t^{2} - 165 \, q^{11} t^{3} - 328 \, q^{10} t^{4} - 156 \, q^{9} t^{5} + 46 \, q^{8} t^{6} - q^{7} t^{7} - 38 \, q^{12} t - 166 \, q^{11} t^{2} - 510 \, q^{10} t^{3} + 332 \, q^{9} t^{4} + 554 \, q^{8} t^{5} - 14 \, q^{7} t^{6} + 10 \, q^{6} t^{7} + 10 \, q^{11} t - 14 \, q^{10} t^{2} + 554 \, q^{9} t^{3} + 332 \, q^{8} t^{4} - 510 \, q^{7} t^{5} - 166 \, q^{6} t^{6} - 38 \, q^{5} t^{7} - q^{10} t + 46 \, q^{9} t^{2} - 156 \, q^{8} t^{3} - 328 \, q^{7} t^{4} - 165 \, q^{6} t^{5} + 202 \, q^{5} t^{6} + 66 \, q^{4} t^{7} - 11 \, q^{8} t^{2} + 2 \, q^{7} t^{3} - 2 \, q^{6} t^{4} + 264 \, q^{5} t^{5} + 29 \, q^{4} t^{6} - 42 \, q^{3} t^{7} + q^{6} t^{3} + 34 \, q^{5} t^{4} - 38 \, q^{4} t^{5} - 66 \, q^{3} t^{6} - 15 \, q^{2} t^{7} - q^{4} t^{4} - 8 \, q^{3} t^{5} + 8 \, q^{2} t^{6} + 12 \, q t^{7} + t^{8}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[0, 6], [1, 6], [2, 6], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + 11 \, q^{17} t + 11 \, q^{16} t^{2} + q^{15} t^{3} - 10 \, q^{16} t - 50 \, q^{15} t^{2} - 44 \, q^{14} t^{3} - 4 \, q^{13} t^{4} - 48 \, q^{15} t - 58 \, q^{14} t^{2} + 48 \, q^{13} t^{3} + 78 \, q^{12} t^{4} + 4 \, q^{11} t^{5} + 68 \, q^{14} t + 316 \, q^{13} t^{2} + 534 \, q^{12} t^{3} - 80 \, q^{11} t^{4} - 10 \, q^{10} t^{5} - 12 \, q^{9} t^{6} - 38 \, q^{13} t - 216 \, q^{12} t^{2} - 1332 \, q^{11} t^{3} - 603 \, q^{10} t^{4} - 213 \, q^{9} t^{5} + 51 \, q^{8} t^{6} - q^{7} t^{7} + 10 \, q^{12} t - 14 \, q^{11} t^{2} + 956 \, q^{10} t^{3} + 1288 \, q^{9} t^{4} + 956 \, q^{8} t^{5} - 14 \, q^{7} t^{6} + 10 \, q^{6} t^{7} - q^{11} t + 51 \, q^{10} t^{2} - 213 \, q^{9} t^{3} - 603 \, q^{8} t^{4} - 1332 \, q^{7} t^{5} - 216 \, q^{6} t^{6} - 38 \, q^{5} t^{7} - 12 \, q^{9} t^{2} - 10 \, q^{8} t^{3} - 80 \, q^{7} t^{4} + 534 \, q^{6} t^{5} + 316 \, q^{5} t^{6} + 68 \, q^{4} t^{7} + 4 \, q^{7} t^{3} + 78 \, q^{6} t^{4} + 48 \, q^{5} t^{5} - 58 \, q^{4} t^{6} - 48 \, q^{3} t^{7} - 4 \, q^{5} t^{4} - 44 \, q^{4} t^{5} - 50 \, q^{3} t^{6} - 10 \, q^{2} t^{7} + q^{3} t^{5} + 11 \, q^{2} t^{6} + 11 \, q t^{7} + t^{8}}{{\left(q^{2} - t\right)}^{4} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[0, 6], [1, 6], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + 11 \, q^{17} t + 11 \, q^{16} t^{2} + q^{15} t^{3} - 12 \, q^{16} t - 58 \, q^{15} t^{2} - 46 \, q^{14} t^{3} - 4 \, q^{13} t^{4} - 44 \, q^{15} t - 12 \, q^{14} t^{2} + 88 \, q^{13} t^{3} + 84 \, q^{12} t^{4} + 4 \, q^{11} t^{5} + 66 \, q^{14} t + 236 \, q^{13} t^{2} + 358 \, q^{12} t^{3} - 152 \, q^{11} t^{4} - 16 \, q^{10} t^{5} - 12 \, q^{9} t^{6} - 38 \, q^{13} t - 160 \, q^{12} t^{2} - 1048 \, q^{11} t^{3} - 329 \, q^{10} t^{4} - 157 \, q^{9} t^{5} + 53 \, q^{8} t^{6} - q^{7} t^{7} + 10 \, q^{12} t - 30 \, q^{11} t^{2} + 760 \, q^{10} t^{3} + 872 \, q^{9} t^{4} + 760 \, q^{8} t^{5} - 30 \, q^{7} t^{6} + 10 \, q^{6} t^{7} - q^{11} t + 53 \, q^{10} t^{2} - 157 \, q^{9} t^{3} - 329 \, q^{8} t^{4} - 1048 \, q^{7} t^{5} - 160 \, q^{6} t^{6} - 38 \, q^{5} t^{7} - 12 \, q^{9} t^{2} - 16 \, q^{8} t^{3} - 152 \, q^{7} t^{4} + 358 \, q^{6} t^{5} + 236 \, q^{5} t^{6} + 66 \, q^{4} t^{7} + 4 \, q^{7} t^{3} + 84 \, q^{6} t^{4} + 88 \, q^{5} t^{5} - 12 \, q^{4} t^{6} - 44 \, q^{3} t^{7} - 4 \, q^{5} t^{4} - 46 \, q^{4} t^{5} - 58 \, q^{3} t^{6} - 12 \, q^{2} t^{7} + q^{3} t^{5} + 11 \, q^{2} t^{6} + 11 \, q t^{7} + t^{8}}{{\left(q^{2} - t\right)}^{4} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 6], [1, 6], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{24} t^{2} + 4 \, q^{24} t - 4 \, q^{23} t^{2} - 4 \, q^{22} t^{3} + q^{24} - 8 \, q^{23} t + 13 \, q^{21} t^{3} + 18 \, q^{20} t^{4} + 22 \, q^{22} t - 48 \, q^{21} t^{2} - 70 \, q^{20} t^{3} - 42 \, q^{19} t^{4} + 20 \, q^{18} t^{5} - 67 \, q^{21} t + 142 \, q^{20} t^{2} + 334 \, q^{19} t^{3} - 23 \, q^{18} t^{4} - 182 \, q^{17} t^{5} + q^{16} t^{6} + 54 \, q^{20} t - 278 \, q^{19} t^{2} - 382 \, q^{18} t^{3} + 368 \, q^{17} t^{4} + 448 \, q^{16} t^{5} - 70 \, q^{15} t^{6} - 14 \, q^{19} t + 621 \, q^{18} t^{2} - 109 \, q^{17} t^{3} - 1475 \, q^{16} t^{4} - 343 \, q^{15} t^{5} + 490 \, q^{14} t^{6} - 3 \, q^{13} t^{7} - 2 \, q^{18} t - 624 \, q^{17} t^{2} + 488 \, q^{16} t^{3} + 2112 \, q^{15} t^{4} - 428 \, q^{14} t^{5} - 1190 \, q^{13} t^{6} + 82 \, q^{12} t^{7} + q^{17} t + 292 \, q^{16} t^{2} - 1103 \, q^{15} t^{3} - 677 \, q^{14} t^{4} + 2357 \, q^{13} t^{5} + 1244 \, q^{12} t^{6} - 492 \, q^{11} t^{7} + 5 \, q^{10} t^{8} - 62 \, q^{15} t^{2} + 1126 \, q^{14} t^{3} - 546 \, q^{13} t^{4} - 3996 \, q^{12} t^{5} - 546 \, q^{11} t^{6} + 1126 \, q^{10} t^{7} - 62 \, q^{9} t^{8} + 5 \, q^{14} t^{2} - 492 \, q^{13} t^{3} + 1244 \, q^{12} t^{4} + 2357 \, q^{11} t^{5} - 677 \, q^{10} t^{6} - 1103 \, q^{9} t^{7} + 292 \, q^{8} t^{8} + q^{7} t^{9} + 82 \, q^{12} t^{3} - 1190 \, q^{11} t^{4} - 428 \, q^{10} t^{5} + 2112 \, q^{9} t^{6} + 488 \, q^{8} t^{7} - 624 \, q^{7} t^{8} - 2 \, q^{6} t^{9} - 3 \, q^{11} t^{3} + 490 \, q^{10} t^{4} - 343 \, q^{9} t^{5} - 1475 \, q^{8} t^{6} - 109 \, q^{7} t^{7} + 621 \, q^{6} t^{8} - 14 \, q^{5} t^{9} - 70 \, q^{9} t^{4} + 448 \, q^{8} t^{5} + 368 \, q^{7} t^{6} - 382 \, q^{6} t^{7} - 278 \, q^{5} t^{8} + 54 \, q^{4} t^{9} + q^{8} t^{4} - 182 \, q^{7} t^{5} - 23 \, q^{6} t^{6} + 334 \, q^{5} t^{7} + 142 \, q^{4} t^{8} - 67 \, q^{3} t^{9} + 20 \, q^{6} t^{5} - 42 \, q^{5} t^{6} - 70 \, q^{4} t^{7} - 48 \, q^{3} t^{8} + 22 \, q^{2} t^{9} + 18 \, q^{4} t^{6} + 13 \, q^{3} t^{7} - 8 \, q t^{9} + t^{10} - 4 \, q^{2} t^{7} - 4 \, q t^{8} + 4 \, t^{9} + t^{8}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{4}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 6 edges: | [[2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} t^{2} + 4 \, q^{15} t - 4 \, q^{14} t^{2} - 4 \, q^{13} t^{3} + q^{15} - 8 \, q^{14} t + 16 \, q^{12} t^{3} + 18 \, q^{11} t^{4} + 22 \, q^{13} t - 40 \, q^{12} t^{2} - 82 \, q^{11} t^{3} - 54 \, q^{10} t^{4} + 20 \, q^{9} t^{5} - 72 \, q^{12} t + 142 \, q^{11} t^{2} + 348 \, q^{10} t^{3} + 20 \, q^{9} t^{4} - 128 \, q^{8} t^{5} + q^{7} t^{6} + 78 \, q^{11} t - 224 \, q^{10} t^{2} - 586 \, q^{9} t^{3} + 122 \, q^{8} t^{4} + 306 \, q^{7} t^{5} - 10 \, q^{6} t^{6} - 40 \, q^{10} t + 344 \, q^{9} t^{2} + 379 \, q^{8} t^{3} - 379 \, q^{7} t^{4} - 344 \, q^{6} t^{5} + 40 \, q^{5} t^{6} + 10 \, q^{9} t - 306 \, q^{8} t^{2} - 122 \, q^{7} t^{3} + 586 \, q^{6} t^{4} + 224 \, q^{5} t^{5} - 78 \, q^{4} t^{6} - q^{8} t + 128 \, q^{7} t^{2} - 20 \, q^{6} t^{3} - 348 \, q^{5} t^{4} - 142 \, q^{4} t^{5} + 72 \, q^{3} t^{6} - 20 \, q^{6} t^{2} + 54 \, q^{5} t^{3} + 82 \, q^{4} t^{4} + 40 \, q^{3} t^{5} - 22 \, q^{2} t^{6} - 18 \, q^{4} t^{3} - 16 \, q^{3} t^{4} + 8 \, q t^{6} - t^{7} + 4 \, q^{2} t^{4} + 4 \, q t^{5} - 4 \, t^{6} - t^{5}}{{\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{4}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{18} t - 3 \, q^{17} t^{2} - 3 \, q^{16} t^{3} + q^{15} t^{4} + q^{18} + 3 \, q^{17} t - 5 \, q^{16} t^{2} + 3 \, q^{15} t^{3} + 22 \, q^{14} t^{4} - 4 \, q^{13} t^{5} + 8 \, q^{16} t - 20 \, q^{15} t^{2} + 58 \, q^{14} t^{3} - 8 \, q^{13} t^{4} - 40 \, q^{12} t^{5} - 2 \, q^{11} t^{6} - 72 \, q^{15} t + 30 \, q^{14} t^{2} - 8 \, q^{13} t^{3} - 272 \, q^{12} t^{4} + 78 \, q^{11} t^{5} + 24 \, q^{10} t^{6} + 16 \, q^{9} t^{7} + 84 \, q^{14} t + 94 \, q^{13} t^{2} + 30 \, q^{12} t^{3} + 300 \, q^{11} t^{4} + 207 \, q^{10} t^{5} + 69 \, q^{9} t^{6} - 89 \, q^{8} t^{7} + q^{7} t^{8} - 42 \, q^{13} t + 10 \, q^{12} t^{2} - 544 \, q^{11} t^{3} + 31 \, q^{10} t^{4} - 293 \, q^{9} t^{5} - 471 \, q^{8} t^{6} + 143 \, q^{7} t^{7} - 10 \, q^{6} t^{8} + 10 \, q^{12} t - 143 \, q^{11} t^{2} + 471 \, q^{10} t^{3} + 293 \, q^{9} t^{4} - 31 \, q^{8} t^{5} + 544 \, q^{7} t^{6} - 10 \, q^{6} t^{7} + 42 \, q^{5} t^{8} - q^{11} t + 89 \, q^{10} t^{2} - 69 \, q^{9} t^{3} - 207 \, q^{8} t^{4} - 300 \, q^{7} t^{5} - 30 \, q^{6} t^{6} - 94 \, q^{5} t^{7} - 84 \, q^{4} t^{8} - 16 \, q^{9} t^{2} - 24 \, q^{8} t^{3} - 78 \, q^{7} t^{4} + 272 \, q^{6} t^{5} + 8 \, q^{5} t^{6} - 30 \, q^{4} t^{7} + 72 \, q^{3} t^{8} + 2 \, q^{7} t^{3} + 40 \, q^{6} t^{4} + 8 \, q^{5} t^{5} - 58 \, q^{4} t^{6} + 20 \, q^{3} t^{7} - 8 \, q^{2} t^{8} + 4 \, q^{5} t^{4} - 22 \, q^{4} t^{5} - 3 \, q^{3} t^{6} + 5 \, q^{2} t^{7} - 3 \, q t^{8} - t^{9} - q^{3} t^{5} + 3 \, q^{2} t^{6} + 3 \, q t^{7} - t^{8}}{{\left(q^{2} - t\right)}^{4} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 6 edges: | [[1, 6], [2, 5], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{18} t - 3 \, q^{17} t^{2} - 3 \, q^{16} t^{3} + q^{15} t^{4} + q^{18} + 3 \, q^{17} t - 5 \, q^{16} t^{2} + 7 \, q^{15} t^{3} + 22 \, q^{14} t^{4} - 4 \, q^{13} t^{5} + 4 \, q^{16} t - 18 \, q^{15} t^{2} + 42 \, q^{14} t^{3} - 26 \, q^{13} t^{4} - 40 \, q^{12} t^{5} - 2 \, q^{11} t^{6} - 62 \, q^{15} t + 50 \, q^{14} t^{2} + 2 \, q^{13} t^{3} - 200 \, q^{12} t^{4} + 110 \, q^{11} t^{5} + 24 \, q^{10} t^{6} + 16 \, q^{9} t^{7} + 76 \, q^{14} t + 36 \, q^{13} t^{2} - 14 \, q^{12} t^{3} + 230 \, q^{11} t^{4} + 79 \, q^{10} t^{5} + 41 \, q^{9} t^{6} - 89 \, q^{8} t^{7} + q^{7} t^{8} - 40 \, q^{13} t + 58 \, q^{12} t^{2} - 414 \, q^{11} t^{3} + 91 \, q^{10} t^{4} - 153 \, q^{9} t^{5} - 359 \, q^{8} t^{6} + 155 \, q^{7} t^{7} - 10 \, q^{6} t^{8} + 10 \, q^{12} t - 155 \, q^{11} t^{2} + 359 \, q^{10} t^{3} + 153 \, q^{9} t^{4} - 91 \, q^{8} t^{5} + 414 \, q^{7} t^{6} - 58 \, q^{6} t^{7} + 40 \, q^{5} t^{8} - q^{11} t + 89 \, q^{10} t^{2} - 41 \, q^{9} t^{3} - 79 \, q^{8} t^{4} - 230 \, q^{7} t^{5} + 14 \, q^{6} t^{6} - 36 \, q^{5} t^{7} - 76 \, q^{4} t^{8} - 16 \, q^{9} t^{2} - 24 \, q^{8} t^{3} - 110 \, q^{7} t^{4} + 200 \, q^{6} t^{5} - 2 \, q^{5} t^{6} - 50 \, q^{4} t^{7} + 62 \, q^{3} t^{8} + 2 \, q^{7} t^{3} + 40 \, q^{6} t^{4} + 26 \, q^{5} t^{5} - 42 \, q^{4} t^{6} + 18 \, q^{3} t^{7} - 4 \, q^{2} t^{8} + 4 \, q^{5} t^{4} - 22 \, q^{4} t^{5} - 7 \, q^{3} t^{6} + 5 \, q^{2} t^{7} - 3 \, q t^{8} - t^{9} - q^{3} t^{5} + 3 \, q^{2} t^{6} + 3 \, q t^{7} - t^{8}}{{\left(q^{2} - t\right)}^{4} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[1, 6], [2, 5], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{23} t - 2 \, q^{22} t^{2} - q^{21} t^{3} + q^{23} - 3 \, q^{21} t^{2} + 4 \, q^{19} t^{4} + 14 \, q^{21} t - 22 \, q^{20} t^{2} + 24 \, q^{19} t^{3} + 46 \, q^{18} t^{4} - 18 \, q^{17} t^{5} - 68 \, q^{20} t + 80 \, q^{19} t^{2} + 6 \, q^{18} t^{3} - 220 \, q^{17} t^{4} + 66 \, q^{16} t^{5} - 20 \, q^{15} t^{6} + 68 \, q^{19} t - 176 \, q^{18} t^{2} + 157 \, q^{17} t^{3} + 186 \, q^{16} t^{4} - 284 \, q^{15} t^{5} + 162 \, q^{14} t^{6} - q^{13} t^{7} - 32 \, q^{18} t + 477 \, q^{17} t^{2} - 604 \, q^{16} t^{3} - 24 \, q^{15} t^{4} + 910 \, q^{14} t^{5} - 425 \, q^{13} t^{6} + 50 \, q^{12} t^{7} + 8 \, q^{17} t - 487 \, q^{16} t^{2} + 590 \, q^{15} t^{3} - 309 \, q^{14} t^{4} - 982 \, q^{13} t^{5} + 676 \, q^{12} t^{6} - 312 \, q^{11} t^{7} + 2 \, q^{10} t^{8} - q^{16} t + 216 \, q^{15} t^{2} - 749 \, q^{14} t^{3} + 1352 \, q^{13} t^{4} + 182 \, q^{12} t^{5} - 1218 \, q^{11} t^{6} + 720 \, q^{10} t^{7} - 40 \, q^{9} t^{8} - 40 \, q^{14} t^{2} + 720 \, q^{13} t^{3} - 1218 \, q^{12} t^{4} + 182 \, q^{11} t^{5} + 1352 \, q^{10} t^{6} - 749 \, q^{9} t^{7} + 216 \, q^{8} t^{8} - q^{7} t^{9} + 2 \, q^{13} t^{2} - 312 \, q^{12} t^{3} + 676 \, q^{11} t^{4} - 982 \, q^{10} t^{5} - 309 \, q^{9} t^{6} + 590 \, q^{8} t^{7} - 487 \, q^{7} t^{8} + 8 \, q^{6} t^{9} + 50 \, q^{11} t^{3} - 425 \, q^{10} t^{4} + 910 \, q^{9} t^{5} - 24 \, q^{8} t^{6} - 604 \, q^{7} t^{7} + 477 \, q^{6} t^{8} - 32 \, q^{5} t^{9} - q^{10} t^{3} + 162 \, q^{9} t^{4} - 284 \, q^{8} t^{5} + 186 \, q^{7} t^{6} + 157 \, q^{6} t^{7} - 176 \, q^{5} t^{8} + 68 \, q^{4} t^{9} - 20 \, q^{8} t^{4} + 66 \, q^{7} t^{5} - 220 \, q^{6} t^{6} + 6 \, q^{5} t^{7} + 80 \, q^{4} t^{8} - 68 \, q^{3} t^{9} - 18 \, q^{6} t^{5} + 46 \, q^{5} t^{6} + 24 \, q^{4} t^{7} - 22 \, q^{3} t^{8} + 14 \, q^{2} t^{9} + 4 \, q^{4} t^{6} - 3 \, q^{2} t^{8} + t^{10} - q^{2} t^{7} - 2 \, q t^{8} + t^{9}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{4} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[1, 6], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{17} t - 2 \, q^{16} t^{2} - q^{15} t^{3} + q^{17} - 3 \, q^{15} t^{2} + 4 \, q^{13} t^{4} + 14 \, q^{15} t - 20 \, q^{14} t^{2} + 22 \, q^{13} t^{3} + 44 \, q^{12} t^{4} - 18 \, q^{11} t^{5} - 70 \, q^{14} t + 84 \, q^{13} t^{2} - 10 \, q^{12} t^{3} - 228 \, q^{11} t^{4} + 74 \, q^{10} t^{5} - 20 \, q^{9} t^{6} + 78 \, q^{13} t - 134 \, q^{12} t^{2} + 112 \, q^{11} t^{3} + 270 \, q^{10} t^{4} - 183 \, q^{9} t^{5} + 126 \, q^{8} t^{6} - q^{7} t^{7} - 40 \, q^{12} t + 286 \, q^{11} t^{2} - 456 \, q^{10} t^{3} - 55 \, q^{9} t^{4} + 404 \, q^{8} t^{5} - 289 \, q^{7} t^{6} + 10 \, q^{6} t^{7} + 10 \, q^{11} t - 289 \, q^{10} t^{2} + 404 \, q^{9} t^{3} - 55 \, q^{8} t^{4} - 456 \, q^{7} t^{5} + 286 \, q^{6} t^{6} - 40 \, q^{5} t^{7} - q^{10} t + 126 \, q^{9} t^{2} - 183 \, q^{8} t^{3} + 270 \, q^{7} t^{4} + 112 \, q^{6} t^{5} - 134 \, q^{5} t^{6} + 78 \, q^{4} t^{7} - 20 \, q^{8} t^{2} + 74 \, q^{7} t^{3} - 228 \, q^{6} t^{4} - 10 \, q^{5} t^{5} + 84 \, q^{4} t^{6} - 70 \, q^{3} t^{7} - 18 \, q^{6} t^{3} + 44 \, q^{5} t^{4} + 22 \, q^{4} t^{5} - 20 \, q^{3} t^{6} + 14 \, q^{2} t^{7} + 4 \, q^{4} t^{4} - 3 \, q^{2} t^{6} + t^{8} - q^{2} t^{5} - 2 \, q t^{6} + t^{7}}{{\left(q^{2} - t\right)}^{4} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[1, 6], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + 9 \, q^{17} t - 4 \, q^{16} t^{2} - 2 \, q^{15} t^{3} + 7 \, q^{14} t^{4} - 3 \, q^{13} t^{5} - 5 \, q^{16} t - 65 \, q^{15} t^{2} - 36 \, q^{14} t^{3} + 58 \, q^{13} t^{4} - 27 \, q^{12} t^{5} + 3 \, q^{11} t^{6} - 58 \, q^{15} t + 127 \, q^{14} t^{2} + 395 \, q^{13} t^{3} - 222 \, q^{12} t^{4} + 48 \, q^{11} t^{5} - 17 \, q^{10} t^{6} + 15 \, q^{9} t^{7} + 76 \, q^{14} t + 16 \, q^{13} t^{2} - 593 \, q^{12} t^{3} - 287 \, q^{11} t^{4} + 38 \, q^{10} t^{5} + 158 \, q^{9} t^{6} - 81 \, q^{8} t^{7} + q^{7} t^{8} - 40 \, q^{13} t + 26 \, q^{12} t^{2} - 146 \, q^{11} t^{3} + 1058 \, q^{10} t^{4} + 432 \, q^{9} t^{5} - 442 \, q^{8} t^{6} + 130 \, q^{7} t^{7} - 10 \, q^{6} t^{8} + 10 \, q^{12} t - 130 \, q^{11} t^{2} + 442 \, q^{10} t^{3} - 432 \, q^{9} t^{4} - 1058 \, q^{8} t^{5} + 146 \, q^{7} t^{6} - 26 \, q^{6} t^{7} + 40 \, q^{5} t^{8} - q^{11} t + 81 \, q^{10} t^{2} - 158 \, q^{9} t^{3} - 38 \, q^{8} t^{4} + 287 \, q^{7} t^{5} + 593 \, q^{6} t^{6} - 16 \, q^{5} t^{7} - 76 \, q^{4} t^{8} - 15 \, q^{9} t^{2} + 17 \, q^{8} t^{3} - 48 \, q^{7} t^{4} + 222 \, q^{6} t^{5} - 395 \, q^{5} t^{6} - 127 \, q^{4} t^{7} + 58 \, q^{3} t^{8} - 3 \, q^{7} t^{3} + 27 \, q^{6} t^{4} - 58 \, q^{5} t^{5} + 36 \, q^{4} t^{6} + 65 \, q^{3} t^{7} + 5 \, q^{2} t^{8} + 3 \, q^{5} t^{4} - 7 \, q^{4} t^{5} + 2 \, q^{3} t^{6} + 4 \, q^{2} t^{7} - 9 \, q t^{8} - t^{9}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{5} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 6 edges: | [[0, 6], [1, 6], [2, 5], [3, 5], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 8 \, q^{16} t - 4 \, q^{14} t^{3} + 3 \, q^{13} t^{4} - q^{15} t - 36 \, q^{14} t^{2} - 40 \, q^{13} t^{3} + 24 \, q^{12} t^{4} - 3 \, q^{11} t^{5} - 60 \, q^{14} t + 15 \, q^{13} t^{2} + 258 \, q^{12} t^{3} - 40 \, q^{11} t^{4} + 2 \, q^{10} t^{5} - 15 \, q^{9} t^{6} + 76 \, q^{13} t + 122 \, q^{12} t^{2} - 227 \, q^{11} t^{3} - 194 \, q^{10} t^{4} - 80 \, q^{9} t^{5} + 80 \, q^{8} t^{6} - q^{7} t^{7} - 40 \, q^{12} t - 18 \, q^{11} t^{2} - 316 \, q^{10} t^{3} + 242 \, q^{9} t^{4} + 354 \, q^{8} t^{5} - 120 \, q^{7} t^{6} + 10 \, q^{6} t^{7} + 10 \, q^{11} t - 120 \, q^{10} t^{2} + 354 \, q^{9} t^{3} + 242 \, q^{8} t^{4} - 316 \, q^{7} t^{5} - 18 \, q^{6} t^{6} - 40 \, q^{5} t^{7} - q^{10} t + 80 \, q^{9} t^{2} - 80 \, q^{8} t^{3} - 194 \, q^{7} t^{4} - 227 \, q^{6} t^{5} + 122 \, q^{5} t^{6} + 76 \, q^{4} t^{7} - 15 \, q^{8} t^{2} + 2 \, q^{7} t^{3} - 40 \, q^{6} t^{4} + 258 \, q^{5} t^{5} + 15 \, q^{4} t^{6} - 60 \, q^{3} t^{7} - 3 \, q^{6} t^{3} + 24 \, q^{5} t^{4} - 40 \, q^{4} t^{5} - 36 \, q^{3} t^{6} - q^{2} t^{7} + 3 \, q^{4} t^{4} - 4 \, q^{3} t^{5} + 8 \, q t^{7} + t^{8}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[0, 6], [1, 6], [2, 5], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + 5 \, q^{17} t - q^{16} t^{2} - q^{15} t^{3} + 10 \, q^{16} t - 14 \, q^{15} t^{2} - 22 \, q^{14} t^{3} + 10 \, q^{13} t^{4} - 72 \, q^{15} t - 36 \, q^{14} t^{2} + 70 \, q^{13} t^{3} + 28 \, q^{12} t^{4} - 2 \, q^{11} t^{5} + 80 \, q^{14} t + 118 \, q^{13} t^{2} + 208 \, q^{12} t^{3} - 172 \, q^{11} t^{4} - 24 \, q^{10} t^{5} - 18 \, q^{9} t^{6} - 40 \, q^{13} t + 72 \, q^{12} t^{2} - 644 \, q^{11} t^{3} - 9 \, q^{10} t^{4} + 13 \, q^{9} t^{5} + 105 \, q^{8} t^{6} - q^{7} t^{7} + 10 \, q^{12} t - 198 \, q^{11} t^{2} + 346 \, q^{10} t^{3} + 356 \, q^{9} t^{4} + 346 \, q^{8} t^{5} - 198 \, q^{7} t^{6} + 10 \, q^{6} t^{7} - q^{11} t + 105 \, q^{10} t^{2} + 13 \, q^{9} t^{3} - 9 \, q^{8} t^{4} - 644 \, q^{7} t^{5} + 72 \, q^{6} t^{6} - 40 \, q^{5} t^{7} - 18 \, q^{9} t^{2} - 24 \, q^{8} t^{3} - 172 \, q^{7} t^{4} + 208 \, q^{6} t^{5} + 118 \, q^{5} t^{6} + 80 \, q^{4} t^{7} - 2 \, q^{7} t^{3} + 28 \, q^{6} t^{4} + 70 \, q^{5} t^{5} - 36 \, q^{4} t^{6} - 72 \, q^{3} t^{7} + 10 \, q^{5} t^{4} - 22 \, q^{4} t^{5} - 14 \, q^{3} t^{6} + 10 \, q^{2} t^{7} - q^{3} t^{5} - q^{2} t^{6} + 5 \, q t^{7} + t^{8}}{{\left(q^{2} - t\right)}^{4} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[0, 6], [1, 6], [2, 5], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + 5 \, q^{17} t - q^{16} t^{2} - q^{15} t^{3} + 8 \, q^{16} t - 16 \, q^{15} t^{2} - 22 \, q^{14} t^{3} + 10 \, q^{13} t^{4} - 68 \, q^{15} t - 16 \, q^{14} t^{2} + 78 \, q^{13} t^{3} + 28 \, q^{12} t^{4} - 2 \, q^{11} t^{5} + 78 \, q^{14} t + 82 \, q^{13} t^{2} + 146 \, q^{12} t^{3} - 184 \, q^{11} t^{4} - 24 \, q^{10} t^{5} - 18 \, q^{9} t^{6} - 40 \, q^{13} t + 92 \, q^{12} t^{2} - 536 \, q^{11} t^{3} + 79 \, q^{10} t^{4} + 21 \, q^{9} t^{5} + 105 \, q^{8} t^{6} - q^{7} t^{7} + 10 \, q^{12} t - 200 \, q^{11} t^{2} + 284 \, q^{10} t^{3} + 204 \, q^{9} t^{4} + 284 \, q^{8} t^{5} - 200 \, q^{7} t^{6} + 10 \, q^{6} t^{7} - q^{11} t + 105 \, q^{10} t^{2} + 21 \, q^{9} t^{3} + 79 \, q^{8} t^{4} - 536 \, q^{7} t^{5} + 92 \, q^{6} t^{6} - 40 \, q^{5} t^{7} - 18 \, q^{9} t^{2} - 24 \, q^{8} t^{3} - 184 \, q^{7} t^{4} + 146 \, q^{6} t^{5} + 82 \, q^{5} t^{6} + 78 \, q^{4} t^{7} - 2 \, q^{7} t^{3} + 28 \, q^{6} t^{4} + 78 \, q^{5} t^{5} - 16 \, q^{4} t^{6} - 68 \, q^{3} t^{7} + 10 \, q^{5} t^{4} - 22 \, q^{4} t^{5} - 16 \, q^{3} t^{6} + 8 \, q^{2} t^{7} - q^{3} t^{5} - q^{2} t^{6} + 5 \, q t^{7} + t^{8}}{{\left(q^{2} - t\right)}^{4} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 6], [1, 6], [2, 5], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + 4 \, q^{19} t + q^{18} t^{2} + 12 \, q^{18} t - 8 \, q^{17} t^{2} - 4 \, q^{16} t^{3} - 69 \, q^{17} t - 20 \, q^{16} t^{2} - 57 \, q^{15} t^{3} + 18 \, q^{14} t^{4} + 74 \, q^{16} t - 34 \, q^{15} t^{2} + 346 \, q^{14} t^{3} - 54 \, q^{13} t^{4} + 20 \, q^{12} t^{5} - 38 \, q^{15} t + 320 \, q^{14} t^{2} - 496 \, q^{13} t^{3} + 173 \, q^{12} t^{4} - 142 \, q^{11} t^{5} + q^{10} t^{6} + 10 \, q^{14} t - 368 \, q^{13} t^{2} + 214 \, q^{12} t^{3} - 754 \, q^{11} t^{4} + 320 \, q^{10} t^{5} - 30 \, q^{9} t^{6} - q^{13} t + 166 \, q^{12} t^{2} - 257 \, q^{11} t^{3} + 1304 \, q^{10} t^{4} - 257 \, q^{9} t^{5} + 166 \, q^{8} t^{6} - q^{7} t^{7} - 30 \, q^{11} t^{2} + 320 \, q^{10} t^{3} - 754 \, q^{9} t^{4} + 214 \, q^{8} t^{5} - 368 \, q^{7} t^{6} + 10 \, q^{6} t^{7} + q^{10} t^{2} - 142 \, q^{9} t^{3} + 173 \, q^{8} t^{4} - 496 \, q^{7} t^{5} + 320 \, q^{6} t^{6} - 38 \, q^{5} t^{7} + 20 \, q^{8} t^{3} - 54 \, q^{7} t^{4} + 346 \, q^{6} t^{5} - 34 \, q^{5} t^{6} + 74 \, q^{4} t^{7} + 18 \, q^{6} t^{4} - 57 \, q^{5} t^{5} - 20 \, q^{4} t^{6} - 69 \, q^{3} t^{7} - 4 \, q^{4} t^{5} - 8 \, q^{3} t^{6} + 12 \, q^{2} t^{7} + q^{2} t^{6} + 4 \, q t^{7} + t^{8}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{4} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 6], [1, 6], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 4 \, q^{16} t + q^{15} t^{2} + 12 \, q^{15} t - 8 \, q^{14} t^{2} - 4 \, q^{13} t^{3} - 70 \, q^{14} t - 18 \, q^{13} t^{2} - 56 \, q^{12} t^{3} + 18 \, q^{11} t^{4} + 78 \, q^{13} t - 2 \, q^{12} t^{2} + 346 \, q^{11} t^{3} - 58 \, q^{10} t^{4} + 20 \, q^{9} t^{5} - 40 \, q^{12} t + 214 \, q^{11} t^{2} - 576 \, q^{10} t^{3} + 105 \, q^{9} t^{4} - 124 \, q^{8} t^{5} + q^{7} t^{6} + 10 \, q^{11} t - 270 \, q^{10} t^{2} + 320 \, q^{9} t^{3} - 320 \, q^{8} t^{4} + 270 \, q^{7} t^{5} - 10 \, q^{6} t^{6} - q^{10} t + 124 \, q^{9} t^{2} - 105 \, q^{8} t^{3} + 576 \, q^{7} t^{4} - 214 \, q^{6} t^{5} + 40 \, q^{5} t^{6} - 20 \, q^{8} t^{2} + 58 \, q^{7} t^{3} - 346 \, q^{6} t^{4} + 2 \, q^{5} t^{5} - 78 \, q^{4} t^{6} - 18 \, q^{6} t^{3} + 56 \, q^{5} t^{4} + 18 \, q^{4} t^{5} + 70 \, q^{3} t^{6} + 4 \, q^{4} t^{4} + 8 \, q^{3} t^{5} - 12 \, q^{2} t^{6} - q^{2} t^{5} - 4 \, q t^{6} - t^{7}}{{\left(q^{2} - t\right)}^{4} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 6], [1, 6], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{23} t + q^{23} - 2 \, q^{22} t - 4 \, q^{21} t^{2} + 24 \, q^{21} t - 6 \, q^{20} t^{2} - 44 \, q^{19} t^{3} - 78 \, q^{20} t + 74 \, q^{19} t^{2} + 196 \, q^{18} t^{3} - 24 \, q^{17} t^{4} + 82 \, q^{19} t - 266 \, q^{18} t^{2} - 284 \, q^{17} t^{3} + 162 \, q^{16} t^{4} - q^{15} t^{5} - 50 \, q^{18} t + 436 \, q^{17} t^{2} + 150 \, q^{16} t^{3} - 329 \, q^{15} t^{4} + 10 \, q^{14} t^{5} + 18 \, q^{17} t - 223 \, q^{16} t^{2} - 15 \, q^{15} t^{3} + 92 \, q^{14} t^{4} + 8 \, q^{13} t^{5} - 3 \, q^{16} t - 31 \, q^{15} t^{2} + 198 \, q^{14} t^{3} + 328 \, q^{13} t^{4} - 236 \, q^{12} t^{5} + 2 \, q^{11} t^{6} + 68 \, q^{14} t^{2} - 726 \, q^{13} t^{3} - 194 \, q^{12} t^{4} + 688 \, q^{11} t^{5} - 22 \, q^{10} t^{6} - 22 \, q^{13} t^{2} + 688 \, q^{12} t^{3} - 194 \, q^{11} t^{4} - 726 \, q^{10} t^{5} + 68 \, q^{9} t^{6} + 2 \, q^{12} t^{2} - 236 \, q^{11} t^{3} + 328 \, q^{10} t^{4} + 198 \, q^{9} t^{5} - 31 \, q^{8} t^{6} - 3 \, q^{7} t^{7} + 8 \, q^{10} t^{3} + 92 \, q^{9} t^{4} - 15 \, q^{8} t^{5} - 223 \, q^{7} t^{6} + 18 \, q^{6} t^{7} + 10 \, q^{9} t^{3} - 329 \, q^{8} t^{4} + 150 \, q^{7} t^{5} + 436 \, q^{6} t^{6} - 50 \, q^{5} t^{7} - q^{8} t^{3} + 162 \, q^{7} t^{4} - 284 \, q^{6} t^{5} - 266 \, q^{5} t^{6} + 82 \, q^{4} t^{7} - 24 \, q^{6} t^{4} + 196 \, q^{5} t^{5} + 74 \, q^{4} t^{6} - 78 \, q^{3} t^{7} - 44 \, q^{4} t^{5} - 6 \, q^{3} t^{6} + 24 \, q^{2} t^{7} - 4 \, q^{2} t^{6} - 2 \, q t^{7} + t^{8} + t^{7}}{{\left(q^{4} - t\right)}^{2} {\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[1, 5], [1, 6], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{15} t + q^{15} - 2 \, q^{14} t - 4 \, q^{13} t^{2} + 24 \, q^{13} t - 6 \, q^{12} t^{2} - 44 \, q^{11} t^{3} - 78 \, q^{12} t + 76 \, q^{11} t^{2} + 196 \, q^{10} t^{3} - 24 \, q^{9} t^{4} + 80 \, q^{11} t - 268 \, q^{10} t^{2} - 292 \, q^{9} t^{3} + 162 \, q^{8} t^{4} - q^{7} t^{5} - 40 \, q^{10} t + 496 \, q^{9} t^{2} + 130 \, q^{8} t^{3} - 417 \, q^{7} t^{4} + 10 \, q^{6} t^{5} + 10 \, q^{9} t - 417 \, q^{8} t^{2} + 130 \, q^{7} t^{3} + 496 \, q^{6} t^{4} - 40 \, q^{5} t^{5} - q^{8} t + 162 \, q^{7} t^{2} - 292 \, q^{6} t^{3} - 268 \, q^{5} t^{4} + 80 \, q^{4} t^{5} - 24 \, q^{6} t^{2} + 196 \, q^{5} t^{3} + 76 \, q^{4} t^{4} - 78 \, q^{3} t^{5} - 44 \, q^{4} t^{3} - 6 \, q^{3} t^{4} + 24 \, q^{2} t^{5} - 4 \, q^{2} t^{4} - 2 \, q t^{5} + t^{6} + t^{5}}{{\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[1, 5], [1, 6], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + 2 \, q^{19} t - q^{18} t^{2} + 18 \, q^{18} t - 8 \, q^{17} t^{2} - 10 \, q^{16} t^{3} - 75 \, q^{17} t + 16 \, q^{16} t^{2} - 7 \, q^{15} t^{3} + 24 \, q^{14} t^{4} + 76 \, q^{16} t - 132 \, q^{15} t^{2} + 222 \, q^{14} t^{3} - 76 \, q^{13} t^{4} + 22 \, q^{12} t^{5} - 38 \, q^{15} t + 430 \, q^{14} t^{2} - 406 \, q^{13} t^{3} + 137 \, q^{12} t^{4} - 166 \, q^{11} t^{5} + q^{10} t^{6} + 10 \, q^{14} t - 428 \, q^{13} t^{2} + 296 \, q^{12} t^{3} - 508 \, q^{11} t^{4} + 422 \, q^{10} t^{5} - 32 \, q^{9} t^{6} - q^{13} t + 182 \, q^{12} t^{2} - 429 \, q^{11} t^{3} + 916 \, q^{10} t^{4} - 429 \, q^{9} t^{5} + 182 \, q^{8} t^{6} - q^{7} t^{7} - 32 \, q^{11} t^{2} + 422 \, q^{10} t^{3} - 508 \, q^{9} t^{4} + 296 \, q^{8} t^{5} - 428 \, q^{7} t^{6} + 10 \, q^{6} t^{7} + q^{10} t^{2} - 166 \, q^{9} t^{3} + 137 \, q^{8} t^{4} - 406 \, q^{7} t^{5} + 430 \, q^{6} t^{6} - 38 \, q^{5} t^{7} + 22 \, q^{8} t^{3} - 76 \, q^{7} t^{4} + 222 \, q^{6} t^{5} - 132 \, q^{5} t^{6} + 76 \, q^{4} t^{7} + 24 \, q^{6} t^{4} - 7 \, q^{5} t^{5} + 16 \, q^{4} t^{6} - 75 \, q^{3} t^{7} - 10 \, q^{4} t^{5} - 8 \, q^{3} t^{6} + 18 \, q^{2} t^{7} - q^{2} t^{6} + 2 \, q t^{7} + t^{8}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{4} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 6], [1, 5], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 2 \, q^{16} t - q^{15} t^{2} + 18 \, q^{15} t - 8 \, q^{14} t^{2} - 10 \, q^{13} t^{3} - 76 \, q^{14} t + 18 \, q^{13} t^{2} - 8 \, q^{12} t^{3} + 24 \, q^{11} t^{4} + 80 \, q^{13} t - 102 \, q^{12} t^{2} + 214 \, q^{11} t^{3} - 86 \, q^{10} t^{4} + 22 \, q^{9} t^{5} - 40 \, q^{12} t + 330 \, q^{11} t^{2} - 418 \, q^{10} t^{3} + 129 \, q^{9} t^{4} - 142 \, q^{8} t^{5} + q^{7} t^{6} + 10 \, q^{11} t - 336 \, q^{10} t^{2} + 254 \, q^{9} t^{3} - 254 \, q^{8} t^{4} + 336 \, q^{7} t^{5} - 10 \, q^{6} t^{6} - q^{10} t + 142 \, q^{9} t^{2} - 129 \, q^{8} t^{3} + 418 \, q^{7} t^{4} - 330 \, q^{6} t^{5} + 40 \, q^{5} t^{6} - 22 \, q^{8} t^{2} + 86 \, q^{7} t^{3} - 214 \, q^{6} t^{4} + 102 \, q^{5} t^{5} - 80 \, q^{4} t^{6} - 24 \, q^{6} t^{3} + 8 \, q^{5} t^{4} - 18 \, q^{4} t^{5} + 76 \, q^{3} t^{6} + 10 \, q^{4} t^{4} + 8 \, q^{3} t^{5} - 18 \, q^{2} t^{6} + q^{2} t^{5} - 2 \, q t^{6} - t^{7}}{{\left(q^{2} - t\right)}^{4} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 6], [1, 5], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + q^{19} t + 22 \, q^{18} t - 4 \, q^{17} t^{2} - 78 \, q^{17} t + 38 \, q^{16} t^{2} - 44 \, q^{15} t^{3} + 81 \, q^{16} t - 213 \, q^{15} t^{2} + 200 \, q^{14} t^{3} - 24 \, q^{13} t^{4} - 44 \, q^{15} t + 432 \, q^{14} t^{2} - 338 \, q^{13} t^{3} + 161 \, q^{12} t^{4} - q^{11} t^{5} + 12 \, q^{14} t - 310 \, q^{13} t^{2} + 334 \, q^{12} t^{3} - 364 \, q^{11} t^{4} + 10 \, q^{10} t^{5} - q^{13} t + 71 \, q^{12} t^{2} - 170 \, q^{11} t^{3} + 244 \, q^{10} t^{4} - 16 \, q^{9} t^{5} + 16 \, q^{11} t^{2} - 244 \, q^{10} t^{3} + 170 \, q^{9} t^{4} - 71 \, q^{8} t^{5} + q^{7} t^{6} - 10 \, q^{10} t^{2} + 364 \, q^{9} t^{3} - 334 \, q^{8} t^{4} + 310 \, q^{7} t^{5} - 12 \, q^{6} t^{6} + q^{9} t^{2} - 161 \, q^{8} t^{3} + 338 \, q^{7} t^{4} - 432 \, q^{6} t^{5} + 44 \, q^{5} t^{6} + 24 \, q^{7} t^{3} - 200 \, q^{6} t^{4} + 213 \, q^{5} t^{5} - 81 \, q^{4} t^{6} + 44 \, q^{5} t^{4} - 38 \, q^{4} t^{5} + 78 \, q^{3} t^{6} + 4 \, q^{3} t^{5} - 22 \, q^{2} t^{6} - q t^{6} - t^{7}}{{\left(q^{4} - t\right)} {\left(q^{2} - t\right)}^{4} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 6], [1, 5], [1, 6], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + q^{15} t + 22 \, q^{14} t - 4 \, q^{13} t^{2} - 78 \, q^{13} t + 38 \, q^{12} t^{2} - 44 \, q^{11} t^{3} + 80 \, q^{12} t - 212 \, q^{11} t^{2} + 200 \, q^{10} t^{3} - 24 \, q^{9} t^{4} - 40 \, q^{11} t + 464 \, q^{10} t^{2} - 342 \, q^{9} t^{3} + 161 \, q^{8} t^{4} - q^{7} t^{5} + 10 \, q^{10} t - 408 \, q^{9} t^{2} + 352 \, q^{8} t^{3} - 408 \, q^{7} t^{4} + 10 \, q^{6} t^{5} - q^{9} t + 161 \, q^{8} t^{2} - 342 \, q^{7} t^{3} + 464 \, q^{6} t^{4} - 40 \, q^{5} t^{5} - 24 \, q^{7} t^{2} + 200 \, q^{6} t^{3} - 212 \, q^{5} t^{4} + 80 \, q^{4} t^{5} - 44 \, q^{5} t^{3} + 38 \, q^{4} t^{4} - 78 \, q^{3} t^{5} - 4 \, q^{3} t^{4} + 22 \, q^{2} t^{5} + q t^{5} + t^{6}}{{\left(q^{2} - t\right)}^{4} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 6], [1, 5], [1, 6], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + 26 \, q^{18} t - 80 \, q^{17} t + 66 \, q^{16} t^{2} + 80 \, q^{16} t - 330 \, q^{15} t^{2} + 26 \, q^{14} t^{3} - 39 \, q^{15} t + 600 \, q^{14} t^{2} - 180 \, q^{13} t^{3} + q^{12} t^{4} + 6 \, q^{14} t - 514 \, q^{13} t^{2} + 480 \, q^{12} t^{3} - 10 \, q^{11} t^{4} + q^{13} t + 276 \, q^{12} t^{2} - 654 \, q^{11} t^{3} + 40 \, q^{10} t^{4} - 114 \, q^{11} t^{2} + 636 \, q^{10} t^{3} - 114 \, q^{9} t^{4} + 40 \, q^{10} t^{2} - 654 \, q^{9} t^{3} + 276 \, q^{8} t^{4} + q^{7} t^{5} - 10 \, q^{9} t^{2} + 480 \, q^{8} t^{3} - 514 \, q^{7} t^{4} + 6 \, q^{6} t^{5} + q^{8} t^{2} - 180 \, q^{7} t^{3} + 600 \, q^{6} t^{4} - 39 \, q^{5} t^{5} + 26 \, q^{6} t^{3} - 330 \, q^{5} t^{4} + 80 \, q^{4} t^{5} + 66 \, q^{4} t^{4} - 80 \, q^{3} t^{5} + 26 \, q^{2} t^{5} + t^{6}}{{\left(q^{5} - t\right)} {\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 5], [0, 6], [1, 5], [1, 6], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + 26 \, q^{13} t - 80 \, q^{12} t + 66 \, q^{11} t^{2} + 80 \, q^{11} t - 330 \, q^{10} t^{2} + 26 \, q^{9} t^{3} - 40 \, q^{10} t + 600 \, q^{9} t^{2} - 180 \, q^{8} t^{3} + q^{7} t^{4} + 10 \, q^{9} t - 480 \, q^{8} t^{2} + 480 \, q^{7} t^{3} - 10 \, q^{6} t^{4} - q^{8} t + 180 \, q^{7} t^{2} - 600 \, q^{6} t^{3} + 40 \, q^{5} t^{4} - 26 \, q^{6} t^{2} + 330 \, q^{5} t^{3} - 80 \, q^{4} t^{4} - 66 \, q^{4} t^{3} + 80 \, q^{3} t^{4} - 26 \, q^{2} t^{4} - t^{5}}{{\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 5], [0, 6], [1, 5], [1, 6], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{18} t - 5 \, q^{17} t^{2} - 20 \, q^{16} t^{3} + 12 \, q^{15} t^{4} - 3 \, q^{14} t^{5} - q^{13} t^{6} + q^{18} + 13 \, q^{17} t - 3 \, q^{16} t^{2} + 87 \, q^{15} t^{3} + 99 \, q^{14} t^{4} - 51 \, q^{13} t^{5} + 11 \, q^{12} t^{6} + 3 \, q^{11} t^{7} - 29 \, q^{16} t - 99 \, q^{15} t^{2} - 39 \, q^{14} t^{3} - 487 \, q^{13} t^{4} - 119 \, q^{12} t^{5} + 49 \, q^{11} t^{6} + 13 \, q^{10} t^{7} - 9 \, q^{9} t^{8} - 28 \, q^{15} t + 271 \, q^{14} t^{2} + 323 \, q^{13} t^{3} + 311 \, q^{12} t^{4} + 1089 \, q^{11} t^{5} + 105 \, q^{10} t^{6} - 183 \, q^{9} t^{7} + 33 \, q^{8} t^{8} - q^{7} t^{9} + 62 \, q^{14} t - 58 \, q^{13} t^{2} - 1003 \, q^{12} t^{3} - 189 \, q^{11} t^{4} - 1330 \, q^{10} t^{5} - 1136 \, q^{9} t^{6} + 281 \, q^{8} t^{7} + 3 \, q^{7} t^{8} + 10 \, q^{6} t^{9} - 38 \, q^{13} t - 88 \, q^{12} t^{2} + 418 \, q^{11} t^{3} + 1436 \, q^{10} t^{4} + 576 \, q^{9} t^{5} + 1436 \, q^{8} t^{6} + 418 \, q^{7} t^{7} - 88 \, q^{6} t^{8} - 38 \, q^{5} t^{9} + 10 \, q^{12} t + 3 \, q^{11} t^{2} + 281 \, q^{10} t^{3} - 1136 \, q^{9} t^{4} - 1330 \, q^{8} t^{5} - 189 \, q^{7} t^{6} - 1003 \, q^{6} t^{7} - 58 \, q^{5} t^{8} + 62 \, q^{4} t^{9} - q^{11} t + 33 \, q^{10} t^{2} - 183 \, q^{9} t^{3} + 105 \, q^{8} t^{4} + 1089 \, q^{7} t^{5} + 311 \, q^{6} t^{6} + 323 \, q^{5} t^{7} + 271 \, q^{4} t^{8} - 28 \, q^{3} t^{9} - 9 \, q^{9} t^{2} + 13 \, q^{8} t^{3} + 49 \, q^{7} t^{4} - 119 \, q^{6} t^{5} - 487 \, q^{5} t^{6} - 39 \, q^{4} t^{7} - 99 \, q^{3} t^{8} - 29 \, q^{2} t^{9} + 3 \, q^{7} t^{3} + 11 \, q^{6} t^{4} - 51 \, q^{5} t^{5} + 99 \, q^{4} t^{6} + 87 \, q^{3} t^{7} - 3 \, q^{2} t^{8} + 13 \, q t^{9} + t^{10} - q^{5} t^{4} - 3 \, q^{4} t^{5} + 12 \, q^{3} t^{6} - 20 \, q^{2} t^{7} - 5 \, q t^{8} + t^{9}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{5} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 5 edges: | [[1, 6], [2, 6], [3, 4], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + 13 \, q^{17} t + 4 \, q^{16} t^{2} - 14 \, q^{15} t^{3} + 7 \, q^{14} t^{4} + q^{13} t^{5} - 19 \, q^{16} t - 99 \, q^{15} t^{2} - 20 \, q^{14} t^{3} + 64 \, q^{13} t^{4} - 33 \, q^{12} t^{5} - q^{11} t^{6} - 40 \, q^{15} t + 155 \, q^{14} t^{2} + 457 \, q^{13} t^{3} - 154 \, q^{12} t^{4} + 16 \, q^{11} t^{5} - 13 \, q^{10} t^{6} + 11 \, q^{9} t^{7} + 66 \, q^{14} t + 78 \, q^{13} t^{2} - 731 \, q^{12} t^{3} - 613 \, q^{11} t^{4} + 44 \, q^{10} t^{5} + 194 \, q^{9} t^{6} - 47 \, q^{8} t^{7} + q^{7} t^{8} - 38 \, q^{13} t - 112 \, q^{12} t^{2} - 92 \, q^{11} t^{3} + 1542 \, q^{10} t^{4} + 692 \, q^{9} t^{5} - 496 \, q^{8} t^{6} + 26 \, q^{7} t^{7} - 10 \, q^{6} t^{8} + 10 \, q^{12} t - 26 \, q^{11} t^{2} + 496 \, q^{10} t^{3} - 692 \, q^{9} t^{4} - 1542 \, q^{8} t^{5} + 92 \, q^{7} t^{6} + 112 \, q^{6} t^{7} + 38 \, q^{5} t^{8} - q^{11} t + 47 \, q^{10} t^{2} - 194 \, q^{9} t^{3} - 44 \, q^{8} t^{4} + 613 \, q^{7} t^{5} + 731 \, q^{6} t^{6} - 78 \, q^{5} t^{7} - 66 \, q^{4} t^{8} - 11 \, q^{9} t^{2} + 13 \, q^{8} t^{3} - 16 \, q^{7} t^{4} + 154 \, q^{6} t^{5} - 457 \, q^{5} t^{6} - 155 \, q^{4} t^{7} + 40 \, q^{3} t^{8} + q^{7} t^{3} + 33 \, q^{6} t^{4} - 64 \, q^{5} t^{5} + 20 \, q^{4} t^{6} + 99 \, q^{3} t^{7} + 19 \, q^{2} t^{8} - q^{5} t^{4} - 7 \, q^{4} t^{5} + 14 \, q^{3} t^{6} - 4 \, q^{2} t^{7} - 13 \, q t^{8} - t^{9}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{5} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 6 edges: | [[0, 6], [1, 6], [2, 6], [3, 4], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} t^{2} - 3 \, q^{17} t^{3} + 5 \, q^{16} t^{4} + q^{15} t^{5} + 4 \, q^{18} t - 12 \, q^{17} t^{2} + 8 \, q^{15} t^{4} - 20 \, q^{14} t^{5} - 4 \, q^{13} t^{6} + q^{18} - 3 \, q^{17} t + q^{16} t^{2} + 23 \, q^{15} t^{3} - 6 \, q^{14} t^{4} - 32 \, q^{13} t^{5} + 36 \, q^{12} t^{6} + 4 \, q^{11} t^{7} + 6 \, q^{16} t - 58 \, q^{15} t^{2} + 170 \, q^{14} t^{3} - 54 \, q^{13} t^{4} + 92 \, q^{12} t^{5} + 44 \, q^{11} t^{6} + 12 \, q^{10} t^{7} - 12 \, q^{9} t^{8} - 70 \, q^{15} t + 190 \, q^{14} t^{2} - 250 \, q^{13} t^{3} - 614 \, q^{12} t^{4} + 278 \, q^{11} t^{5} - 241 \, q^{10} t^{6} - 243 \, q^{9} t^{7} + 51 \, q^{8} t^{8} - q^{7} t^{9} + 92 \, q^{14} t - 18 \, q^{13} t^{2} - 106 \, q^{12} t^{3} + 1290 \, q^{11} t^{4} + 30 \, q^{10} t^{5} + 4 \, q^{9} t^{6} + 604 \, q^{8} t^{7} - 36 \, q^{7} t^{8} + 12 \, q^{6} t^{9} - 50 \, q^{13} t - 62 \, q^{12} t^{2} - 331 \, q^{11} t^{3} - 258 \, q^{10} t^{4} - 950 \, q^{9} t^{5} - 258 \, q^{8} t^{6} - 331 \, q^{7} t^{7} - 62 \, q^{6} t^{8} - 50 \, q^{5} t^{9} + 12 \, q^{12} t - 36 \, q^{11} t^{2} + 604 \, q^{10} t^{3} + 4 \, q^{9} t^{4} + 30 \, q^{8} t^{5} + 1290 \, q^{7} t^{6} - 106 \, q^{6} t^{7} - 18 \, q^{5} t^{8} + 92 \, q^{4} t^{9} - q^{11} t + 51 \, q^{10} t^{2} - 243 \, q^{9} t^{3} - 241 \, q^{8} t^{4} + 278 \, q^{7} t^{5} - 614 \, q^{6} t^{6} - 250 \, q^{5} t^{7} + 190 \, q^{4} t^{8} - 70 \, q^{3} t^{9} - 12 \, q^{9} t^{2} + 12 \, q^{8} t^{3} + 44 \, q^{7} t^{4} + 92 \, q^{6} t^{5} - 54 \, q^{5} t^{6} + 170 \, q^{4} t^{7} - 58 \, q^{3} t^{8} + 6 \, q^{2} t^{9} + 4 \, q^{7} t^{3} + 36 \, q^{6} t^{4} - 32 \, q^{5} t^{5} - 6 \, q^{4} t^{6} + 23 \, q^{3} t^{7} + q^{2} t^{8} - 3 \, q t^{9} + t^{10} - 4 \, q^{5} t^{4} - 20 \, q^{4} t^{5} + 8 \, q^{3} t^{6} - 12 \, q t^{8} + 4 \, t^{9} + q^{3} t^{5} + 5 \, q^{2} t^{6} - 3 \, q t^{7} + t^{8}}{{\left(q^{2} - t\right)}^{4} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{4}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 5 edges: | [[2, 6], [3, 4], [3, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{18} t - 3 \, q^{17} t^{2} - 9 \, q^{16} t^{3} - q^{15} t^{4} + q^{18} + 7 \, q^{17} t - q^{16} t^{2} + 17 \, q^{15} t^{3} + 36 \, q^{14} t^{4} + 4 \, q^{13} t^{5} - 6 \, q^{16} t - 30 \, q^{15} t^{2} + 62 \, q^{14} t^{3} - 10 \, q^{13} t^{4} - 60 \, q^{12} t^{5} - 4 \, q^{11} t^{6} - 54 \, q^{15} t - 2 \, q^{14} t^{2} - 86 \, q^{13} t^{3} - 348 \, q^{12} t^{4} + 12 \, q^{11} t^{5} - 2 \, q^{10} t^{6} + 12 \, q^{9} t^{7} + 74 \, q^{14} t + 236 \, q^{13} t^{2} + 284 \, q^{12} t^{3} + 470 \, q^{11} t^{4} + 485 \, q^{10} t^{5} + 253 \, q^{9} t^{6} - 51 \, q^{8} t^{7} + q^{7} t^{8} - 40 \, q^{13} t - 188 \, q^{12} t^{2} - 994 \, q^{11} t^{3} - 249 \, q^{10} t^{4} - 669 \, q^{9} t^{5} - 889 \, q^{8} t^{6} + 15 \, q^{7} t^{7} - 10 \, q^{6} t^{8} + 10 \, q^{12} t - 15 \, q^{11} t^{2} + 889 \, q^{10} t^{3} + 669 \, q^{9} t^{4} + 249 \, q^{8} t^{5} + 994 \, q^{7} t^{6} + 188 \, q^{6} t^{7} + 40 \, q^{5} t^{8} - q^{11} t + 51 \, q^{10} t^{2} - 253 \, q^{9} t^{3} - 485 \, q^{8} t^{4} - 470 \, q^{7} t^{5} - 284 \, q^{6} t^{6} - 236 \, q^{5} t^{7} - 74 \, q^{4} t^{8} - 12 \, q^{9} t^{2} + 2 \, q^{8} t^{3} - 12 \, q^{7} t^{4} + 348 \, q^{6} t^{5} + 86 \, q^{5} t^{6} + 2 \, q^{4} t^{7} + 54 \, q^{3} t^{8} + 4 \, q^{7} t^{3} + 60 \, q^{6} t^{4} + 10 \, q^{5} t^{5} - 62 \, q^{4} t^{6} + 30 \, q^{3} t^{7} + 6 \, q^{2} t^{8} - 4 \, q^{5} t^{4} - 36 \, q^{4} t^{5} - 17 \, q^{3} t^{6} + q^{2} t^{7} - 7 \, q t^{8} - t^{9} + q^{3} t^{5} + 9 \, q^{2} t^{6} + 3 \, q t^{7} - t^{8}}{{\left(q^{2} - t\right)}^{4} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 6 edges: | [[1, 6], [2, 6], [3, 4], [3, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{7} t^{3} + 11 \, q^{7} t^{2} - 6 \, q^{6} t^{3} + 11 \, q^{7} t - 42 \, q^{6} t^{2} + 12 \, q^{5} t^{3} + q^{7} - 24 \, q^{6} t + 48 \, q^{5} t^{2} - 8 \, q^{4} t^{3} + 12 \, q^{5} t - 14 \, q^{4} t^{2} - 2 \, q^{3} t^{3} - 2 \, q^{4} t - 14 \, q^{3} t^{2} + 12 \, q^{2} t^{3} - 8 \, q^{3} t + 48 \, q^{2} t^{2} - 24 \, q t^{3} + t^{4} + 12 \, q^{2} t - 42 \, q t^{2} + 11 \, t^{3} - 6 \, q t + 11 \, t^{2} + t}{q^{7} {\left(t - 1\right)}^{5}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 6 edges: | [[3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{10} t^{2} - 3 \, q^{9} t^{3} + 5 \, q^{8} t^{4} + q^{7} t^{5} + 4 \, q^{10} t - 12 \, q^{9} t^{2} + 4 \, q^{8} t^{3} - 8 \, q^{7} t^{4} - 4 \, q^{6} t^{5} + q^{10} - 3 \, q^{9} t + 9 \, q^{8} t^{2} + 15 \, q^{7} t^{3} - 6 \, q^{6} t^{4} - 6 \, q^{8} t - 6 \, q^{7} t^{2} + 26 \, q^{6} t^{3} - 14 \, q^{5} t^{4} + 16 \, q^{4} t^{5} - 14 \, q^{7} t + 46 \, q^{6} t^{2} - 104 \, q^{5} t^{3} + 46 \, q^{4} t^{4} - 14 \, q^{3} t^{5} + 16 \, q^{6} t - 14 \, q^{5} t^{2} + 26 \, q^{4} t^{3} - 6 \, q^{3} t^{4} - 6 \, q^{2} t^{5} - 6 \, q^{4} t^{2} + 15 \, q^{3} t^{3} + 9 \, q^{2} t^{4} - 3 \, q t^{5} + t^{6} - 4 \, q^{4} t - 8 \, q^{3} t^{2} + 4 \, q^{2} t^{3} - 12 \, q t^{4} + 4 \, t^{5} + q^{3} t + 5 \, q^{2} t^{2} - 3 \, q t^{3} + t^{4}}{{\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{4}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 6 edges: | [[2, 6], [3, 4], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{10} t^{2} - 3 \, q^{9} t^{3} + 5 \, q^{8} t^{4} + q^{7} t^{5} + 4 \, q^{10} t - 12 \, q^{9} t^{2} + 4 \, q^{8} t^{3} - 10 \, q^{7} t^{4} - 6 \, q^{6} t^{5} + q^{10} - 3 \, q^{9} t + 5 \, q^{8} t^{2} + 35 \, q^{7} t^{3} - 10 \, q^{6} t^{4} + 12 \, q^{5} t^{5} - 14 \, q^{8} t + 24 \, q^{7} t^{2} - 66 \, q^{6} t^{3} + 22 \, q^{5} t^{4} - 10 \, q^{4} t^{5} + 10 \, q^{7} t - 10 \, q^{6} t^{2} + 40 \, q^{5} t^{3} - 10 \, q^{4} t^{4} + 10 \, q^{3} t^{5} - 10 \, q^{6} t + 22 \, q^{5} t^{2} - 66 \, q^{4} t^{3} + 24 \, q^{3} t^{4} - 14 \, q^{2} t^{5} + 12 \, q^{5} t - 10 \, q^{4} t^{2} + 35 \, q^{3} t^{3} + 5 \, q^{2} t^{4} - 3 \, q t^{5} + t^{6} - 6 \, q^{4} t - 10 \, q^{3} t^{2} + 4 \, q^{2} t^{3} - 12 \, q t^{4} + 4 \, t^{5} + q^{3} t + 5 \, q^{2} t^{2} - 3 \, q t^{3} + t^{4}}{{\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{4}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{10} t^{2} - 3 \, q^{9} t^{3} + 5 \, q^{8} t^{4} + q^{7} t^{5} + 4 \, q^{10} t - 10 \, q^{9} t^{2} - 2 \, q^{8} t^{3} - 6 \, q^{7} t^{4} - 6 \, q^{6} t^{5} + q^{10} + q^{9} t - 7 \, q^{8} t^{2} + 53 \, q^{7} t^{3} - 18 \, q^{6} t^{4} + 10 \, q^{5} t^{5} - 20 \, q^{8} t + 28 \, q^{7} t^{2} - 60 \, q^{6} t^{3} + 12 \, q^{5} t^{4} - 4 \, q^{4} t^{5} + 8 \, q^{7} t + 10 \, q^{6} t^{2} + 4 \, q^{5} t^{3} + 10 \, q^{4} t^{4} + 8 \, q^{3} t^{5} - 4 \, q^{6} t + 12 \, q^{5} t^{2} - 60 \, q^{4} t^{3} + 28 \, q^{3} t^{4} - 20 \, q^{2} t^{5} + 10 \, q^{5} t - 18 \, q^{4} t^{2} + 53 \, q^{3} t^{3} - 7 \, q^{2} t^{4} + q t^{5} + t^{6} - 6 \, q^{4} t - 6 \, q^{3} t^{2} - 2 \, q^{2} t^{3} - 10 \, q t^{4} + 4 \, t^{5} + q^{3} t + 5 \, q^{2} t^{2} - 3 \, q t^{3} + t^{4}}{{\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{4}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 5 edges: | [[1, 6], [2, 6], [3, 4], [3, 5], [4, 5]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{14} t - 3 \, q^{13} t^{2} - 9 \, q^{12} t^{3} - q^{11} t^{4} + q^{14} + 7 \, q^{13} t + q^{12} t^{2} + 31 \, q^{11} t^{3} + 22 \, q^{10} t^{4} + 2 \, q^{9} t^{5} - 20 \, q^{12} t - 20 \, q^{11} t^{2} - 11 \, q^{10} t^{3} - 55 \, q^{9} t^{4} - 17 \, q^{8} t^{5} - q^{7} t^{6} + 2 \, q^{11} t + 31 \, q^{10} t^{2} + 17 \, q^{9} t^{3} + 3 \, q^{8} t^{4} + 25 \, q^{7} t^{5} + 6 \, q^{6} t^{6} - 2 \, q^{10} t + 54 \, q^{9} t^{2} - 70 \, q^{8} t^{3} + 24 \, q^{7} t^{4} + 32 \, q^{6} t^{5} - 10 \, q^{5} t^{6} + 10 \, q^{9} t - 32 \, q^{8} t^{2} - 24 \, q^{7} t^{3} + 70 \, q^{6} t^{4} - 54 \, q^{5} t^{5} + 2 \, q^{4} t^{6} - 6 \, q^{8} t - 25 \, q^{7} t^{2} - 3 \, q^{6} t^{3} - 17 \, q^{5} t^{4} - 31 \, q^{4} t^{5} - 2 \, q^{3} t^{6} + q^{7} t + 17 \, q^{6} t^{2} + 55 \, q^{5} t^{3} + 11 \, q^{4} t^{4} + 20 \, q^{3} t^{5} + 20 \, q^{2} t^{6} - 2 \, q^{5} t^{2} - 22 \, q^{4} t^{3} - 31 \, q^{3} t^{4} - q^{2} t^{5} - 7 \, q t^{6} - t^{7} + q^{3} t^{3} + 9 \, q^{2} t^{4} + 3 \, q t^{5} - t^{6}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[1, 6], [2, 6], [3, 4], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{10} t - 3 \, q^{9} t^{2} - 9 \, q^{8} t^{3} - q^{7} t^{4} + q^{10} + 7 \, q^{9} t + 3 \, q^{8} t^{2} + 31 \, q^{7} t^{3} + 6 \, q^{6} t^{4} - 22 \, q^{8} t - 10 \, q^{7} t^{2} - 28 \, q^{6} t^{3} - 12 \, q^{5} t^{4} + 12 \, q^{7} t + 26 \, q^{6} t^{2} + 12 \, q^{5} t^{3} + 10 \, q^{4} t^{4} - 10 \, q^{6} t - 12 \, q^{5} t^{2} - 26 \, q^{4} t^{3} - 12 \, q^{3} t^{4} + 12 \, q^{5} t + 28 \, q^{4} t^{2} + 10 \, q^{3} t^{3} + 22 \, q^{2} t^{4} - 6 \, q^{4} t - 31 \, q^{3} t^{2} - 3 \, q^{2} t^{3} - 7 \, q t^{4} - t^{5} + q^{3} t + 9 \, q^{2} t^{2} + 3 \, q t^{3} - t^{4}}{{\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[1, 6], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{10} t - 3 \, q^{9} t^{2} - 9 \, q^{8} t^{3} - q^{7} t^{4} + q^{10} + 9 \, q^{9} t + 3 \, q^{8} t^{2} + 29 \, q^{7} t^{3} + 6 \, q^{6} t^{4} - 24 \, q^{8} t - 18 \, q^{7} t^{2} - 18 \, q^{6} t^{3} - 12 \, q^{5} t^{4} + 10 \, q^{7} t + 36 \, q^{6} t^{2} + 6 \, q^{5} t^{3} + 8 \, q^{4} t^{4} - 8 \, q^{6} t - 6 \, q^{5} t^{2} - 36 \, q^{4} t^{3} - 10 \, q^{3} t^{4} + 12 \, q^{5} t + 18 \, q^{4} t^{2} + 18 \, q^{3} t^{3} + 24 \, q^{2} t^{4} - 6 \, q^{4} t - 29 \, q^{3} t^{2} - 3 \, q^{2} t^{3} - 9 \, q t^{4} - t^{5} + q^{3} t + 9 \, q^{2} t^{2} + 3 \, q t^{3} - t^{4}}{{\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 6 edges: | [[0, 6], [1, 6], [2, 6], [3, 4], [3, 5], [4, 5]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{11} + 12 \, q^{10} t + 8 \, q^{9} t^{2} - 8 \, q^{8} t^{3} - q^{7} t^{4} - 26 \, q^{9} t - 50 \, q^{8} t^{2} + 22 \, q^{7} t^{3} + 6 \, q^{6} t^{4} + 10 \, q^{8} t + 64 \, q^{7} t^{2} - 2 \, q^{6} t^{3} - 12 \, q^{5} t^{4} - 8 \, q^{7} t + 8 \, q^{4} t^{4} + 12 \, q^{6} t + 2 \, q^{5} t^{2} - 64 \, q^{4} t^{3} - 10 \, q^{3} t^{4} - 6 \, q^{5} t - 22 \, q^{4} t^{2} + 50 \, q^{3} t^{3} + 26 \, q^{2} t^{4} + q^{4} t + 8 \, q^{3} t^{2} - 8 \, q^{2} t^{3} - 12 \, q t^{4} - t^{5}}{{\left(q - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[0, 6], [1, 6], [2, 6], [3, 4], [3, 5], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{12} + 11 \, q^{11} t + 11 \, q^{10} t^{2} + q^{9} t^{3} - 23 \, q^{10} t - 45 \, q^{9} t^{2} - 15 \, q^{8} t^{3} - q^{7} t^{4} + 8 \, q^{9} t + 32 \, q^{8} t^{2} + 38 \, q^{7} t^{3} + 6 \, q^{6} t^{4} - 8 \, q^{8} t + 28 \, q^{7} t^{2} - 8 \, q^{6} t^{3} - 12 \, q^{5} t^{4} + 12 \, q^{7} t + 8 \, q^{6} t^{2} - 28 \, q^{5} t^{3} + 8 \, q^{4} t^{4} - 6 \, q^{6} t - 38 \, q^{5} t^{2} - 32 \, q^{4} t^{3} - 8 \, q^{3} t^{4} + q^{5} t + 15 \, q^{4} t^{2} + 45 \, q^{3} t^{3} + 23 \, q^{2} t^{4} - q^{3} t^{2} - 11 \, q^{2} t^{3} - 11 \, q t^{4} - t^{5}}{{\left(q^{2} - t\right)} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 6], [1, 6], [2, 6], [3, 4], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{10} + 11 \, q^{9} t + 11 \, q^{8} t^{2} + q^{7} t^{3} - 24 \, q^{8} t - 42 \, q^{7} t^{2} - 6 \, q^{6} t^{3} + 12 \, q^{7} t + 48 \, q^{6} t^{2} + 12 \, q^{5} t^{3} - 10 \, q^{6} t - 28 \, q^{5} t^{2} - 10 \, q^{4} t^{3} + 12 \, q^{5} t + 48 \, q^{4} t^{2} + 12 \, q^{3} t^{3} - 6 \, q^{4} t - 42 \, q^{3} t^{2} - 24 \, q^{2} t^{3} + q^{3} t + 11 \, q^{2} t^{2} + 11 \, q t^{3} + t^{4}}{{\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 6], [1, 6], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{11} t^{2} - 4 \, q^{10} t^{3} + 12 \, q^{9} t^{4} + 4 \, q^{8} t^{5} - q^{7} t^{6} + 4 \, q^{11} t - 12 \, q^{10} t^{2} - 16 \, q^{9} t^{3} - 16 \, q^{8} t^{4} - 36 \, q^{7} t^{5} + 4 \, q^{6} t^{6} + q^{11} + 4 \, q^{10} t - 8 \, q^{9} t^{2} + 136 \, q^{8} t^{3} - 35 \, q^{7} t^{4} + 72 \, q^{6} t^{5} - 2 \, q^{5} t^{6} - 30 \, q^{9} t + 20 \, q^{8} t^{2} - 148 \, q^{7} t^{3} - 6 \, q^{5} t^{5} - 4 \, q^{4} t^{6} + 12 \, q^{8} t + 54 \, q^{7} t^{2} - 42 \, q^{6} t^{3} + 42 \, q^{5} t^{4} - 54 \, q^{4} t^{5} - 12 \, q^{3} t^{6} + 4 \, q^{7} t + 6 \, q^{6} t^{2} + 148 \, q^{4} t^{4} - 20 \, q^{3} t^{5} + 30 \, q^{2} t^{6} + 2 \, q^{6} t - 72 \, q^{5} t^{2} + 35 \, q^{4} t^{3} - 136 \, q^{3} t^{4} + 8 \, q^{2} t^{5} - 4 \, q t^{6} - t^{7} - 4 \, q^{5} t + 36 \, q^{4} t^{2} + 16 \, q^{3} t^{3} + 16 \, q^{2} t^{4} + 12 \, q t^{5} - 4 \, t^{6} + q^{4} t - 4 \, q^{3} t^{2} - 12 \, q^{2} t^{3} + 4 \, q t^{4} - t^{5}}{{\left(q - t\right)}^{4} q^{7} {\left(t - 1\right)}^{4}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 5 edges: | [[2, 5], [3, 4], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{10} t^{2} - 3 \, q^{9} t^{3} + 5 \, q^{8} t^{4} + q^{7} t^{5} + 4 \, q^{10} t - 12 \, q^{9} t^{2} + 4 \, q^{8} t^{3} - 8 \, q^{7} t^{4} - 4 \, q^{6} t^{5} + q^{10} - 3 \, q^{9} t + 9 \, q^{8} t^{2} + 15 \, q^{7} t^{3} - 6 \, q^{6} t^{4} - 6 \, q^{8} t - 6 \, q^{7} t^{2} + 26 \, q^{6} t^{3} - 14 \, q^{5} t^{4} + 16 \, q^{4} t^{5} - 14 \, q^{7} t + 46 \, q^{6} t^{2} - 104 \, q^{5} t^{3} + 46 \, q^{4} t^{4} - 14 \, q^{3} t^{5} + 16 \, q^{6} t - 14 \, q^{5} t^{2} + 26 \, q^{4} t^{3} - 6 \, q^{3} t^{4} - 6 \, q^{2} t^{5} - 6 \, q^{4} t^{2} + 15 \, q^{3} t^{3} + 9 \, q^{2} t^{4} - 3 \, q t^{5} + t^{6} - 4 \, q^{4} t - 8 \, q^{3} t^{2} + 4 \, q^{2} t^{3} - 12 \, q t^{4} + 4 \, t^{5} + q^{3} t + 5 \, q^{2} t^{2} - 3 \, q t^{3} + t^{4}}{{\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{4}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 6 edges: | [[2, 5], [2, 6], [3, 4], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{7} t^{3} + 11 \, q^{7} t^{2} - 2 \, q^{6} t^{3} + 11 \, q^{7} t - 14 \, q^{6} t^{2} - 6 \, q^{5} t^{3} + q^{7} - 8 \, q^{6} t - 42 \, q^{5} t^{2} + 12 \, q^{4} t^{3} - 24 \, q^{5} t + 48 \, q^{4} t^{2} + 12 \, q^{3} t^{3} + 12 \, q^{4} t + 48 \, q^{3} t^{2} - 24 \, q^{2} t^{3} + 12 \, q^{3} t - 42 \, q^{2} t^{2} - 8 \, q t^{3} + t^{4} - 6 \, q^{2} t - 14 \, q t^{2} + 11 \, t^{3} - 2 \, q t + 11 \, t^{2} + t}{q^{7} {\left(t - 1\right)}^{5}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 3 edges: | [[1, 6], [2, 5], [3, 4]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{12} t - 5 \, q^{11} t^{2} - 20 \, q^{10} t^{3} + 16 \, q^{9} t^{4} + q^{8} t^{5} - q^{7} t^{6} + q^{12} + 13 \, q^{11} t + 70 \, q^{9} t^{3} - q^{8} t^{4} - 29 \, q^{7} t^{5} + 2 \, q^{6} t^{6} - 30 \, q^{10} t - 56 \, q^{9} t^{2} + 2 \, q^{8} t^{3} - 156 \, q^{7} t^{4} + 62 \, q^{6} t^{5} + 10 \, q^{5} t^{6} - 10 \, q^{9} t + 158 \, q^{8} t^{2} - 54 \, q^{7} t^{3} + 174 \, q^{6} t^{4} + 42 \, q^{5} t^{5} - 30 \, q^{4} t^{6} + 30 \, q^{8} t - 42 \, q^{7} t^{2} - 174 \, q^{6} t^{3} + 54 \, q^{5} t^{4} - 158 \, q^{4} t^{5} + 10 \, q^{3} t^{6} - 10 \, q^{7} t - 62 \, q^{6} t^{2} + 156 \, q^{5} t^{3} - 2 \, q^{4} t^{4} + 56 \, q^{3} t^{5} + 30 \, q^{2} t^{6} - 2 \, q^{6} t + 29 \, q^{5} t^{2} + q^{4} t^{3} - 70 \, q^{3} t^{4} - 13 \, q t^{6} - t^{7} + q^{5} t - q^{4} t^{2} - 16 \, q^{3} t^{3} + 20 \, q^{2} t^{4} + 5 \, q t^{5} - t^{6}}{{\left(q - t\right)}^{5} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 5 edges: | [[1, 6], [2, 5], [3, 4], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{10} t - 3 \, q^{9} t^{2} - 9 \, q^{8} t^{3} - q^{7} t^{4} + q^{10} + 7 \, q^{9} t + 3 \, q^{8} t^{2} + 21 \, q^{7} t^{3} + 4 \, q^{6} t^{4} - 14 \, q^{8} t - 8 \, q^{7} t^{2} + 10 \, q^{6} t^{3} - 12 \, q^{7} t + 4 \, q^{6} t^{2} - 36 \, q^{5} t^{3} - 16 \, q^{4} t^{4} + 16 \, q^{6} t + 36 \, q^{5} t^{2} - 4 \, q^{4} t^{3} + 12 \, q^{3} t^{4} - 10 \, q^{4} t^{2} + 8 \, q^{3} t^{3} + 14 \, q^{2} t^{4} - 4 \, q^{4} t - 21 \, q^{3} t^{2} - 3 \, q^{2} t^{3} - 7 \, q t^{4} - t^{5} + q^{3} t + 9 \, q^{2} t^{2} + 3 \, q t^{3} - t^{4}}{{\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[1, 6], [2, 5], [2, 6], [3, 4], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + 13 \, q^{13} t + 4 \, q^{12} t^{2} - 20 \, q^{11} t^{3} + 5 \, q^{10} t^{4} + q^{9} t^{5} - 23 \, q^{12} t - 73 \, q^{11} t^{2} + 52 \, q^{10} t^{3} + 24 \, q^{9} t^{4} - 7 \, q^{8} t^{5} - q^{7} t^{6} - 14 \, q^{11} t + 108 \, q^{10} t^{2} + 110 \, q^{9} t^{3} - 106 \, q^{8} t^{4} - 18 \, q^{7} t^{5} + 4 \, q^{6} t^{6} + 22 \, q^{10} t + 58 \, q^{9} t^{2} - 288 \, q^{8} t^{3} - 34 \, q^{7} t^{4} + 100 \, q^{6} t^{5} + 2 \, q^{5} t^{6} - 2 \, q^{9} t - 100 \, q^{8} t^{2} + 34 \, q^{7} t^{3} + 288 \, q^{6} t^{4} - 58 \, q^{5} t^{5} - 22 \, q^{4} t^{6} - 4 \, q^{8} t + 18 \, q^{7} t^{2} + 106 \, q^{6} t^{3} - 110 \, q^{5} t^{4} - 108 \, q^{4} t^{5} + 14 \, q^{3} t^{6} + q^{7} t + 7 \, q^{6} t^{2} - 24 \, q^{5} t^{3} - 52 \, q^{4} t^{4} + 73 \, q^{3} t^{5} + 23 \, q^{2} t^{6} - q^{5} t^{2} - 5 \, q^{4} t^{3} + 20 \, q^{3} t^{4} - 4 \, q^{2} t^{5} - 13 \, q t^{6} - t^{7}}{{\left(q^{2} - t\right)} {\left(q - t\right)}^{5} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 6 edges: | [[0, 6], [1, 6], [2, 5], [3, 4], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{10} + 11 \, q^{9} t + 11 \, q^{8} t^{2} + q^{7} t^{3} - 16 \, q^{8} t - 28 \, q^{7} t^{2} - 4 \, q^{6} t^{3} - 12 \, q^{7} t - 12 \, q^{6} t^{2} + 16 \, q^{6} t + 64 \, q^{5} t^{2} + 16 \, q^{4} t^{3} - 12 \, q^{4} t^{2} - 12 \, q^{3} t^{3} - 4 \, q^{4} t - 28 \, q^{3} t^{2} - 16 \, q^{2} t^{3} + q^{3} t + 11 \, q^{2} t^{2} + 11 \, q t^{3} + t^{4}}{{\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 6], [1, 6], [2, 5], [2, 6], [3, 4], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} t^{2} + 4 \, q^{15} t - 4 \, q^{14} t^{2} - 4 \, q^{13} t^{3} + q^{15} - 8 \, q^{14} t + 8 \, q^{13} t^{2} + 16 \, q^{12} t^{3} + 26 \, q^{11} t^{4} + 38 \, q^{13} t - 88 \, q^{12} t^{2} - 142 \, q^{11} t^{3} - 74 \, q^{10} t^{4} + 36 \, q^{9} t^{5} - 120 \, q^{12} t + 238 \, q^{11} t^{2} + 612 \, q^{10} t^{3} + 28 \, q^{9} t^{4} - 224 \, q^{8} t^{5} + q^{7} t^{6} + 130 \, q^{11} t - 372 \, q^{10} t^{2} - 982 \, q^{9} t^{3} + 182 \, q^{8} t^{4} + 518 \, q^{7} t^{5} - 14 \, q^{6} t^{6} - 64 \, q^{10} t + 568 \, q^{9} t^{2} + 627 \, q^{8} t^{3} - 627 \, q^{7} t^{4} - 568 \, q^{6} t^{5} + 64 \, q^{5} t^{6} + 14 \, q^{9} t - 518 \, q^{8} t^{2} - 182 \, q^{7} t^{3} + 982 \, q^{6} t^{4} + 372 \, q^{5} t^{5} - 130 \, q^{4} t^{6} - q^{8} t + 224 \, q^{7} t^{2} - 28 \, q^{6} t^{3} - 612 \, q^{5} t^{4} - 238 \, q^{4} t^{5} + 120 \, q^{3} t^{6} - 36 \, q^{6} t^{2} + 74 \, q^{5} t^{3} + 142 \, q^{4} t^{4} + 88 \, q^{3} t^{5} - 38 \, q^{2} t^{6} - 26 \, q^{4} t^{3} - 16 \, q^{3} t^{4} - 8 \, q^{2} t^{5} + 8 \, q t^{6} - t^{7} + 4 \, q^{2} t^{4} + 4 \, q t^{5} - 4 \, t^{6} - t^{5}}{{\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{4}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 5 edges: | [[2, 5], [2, 6], [3, 4], [3, 6], [4, 5]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} t^{2} + 4 \, q^{15} t - 4 \, q^{14} t^{2} - 4 \, q^{13} t^{3} + q^{15} - 8 \, q^{14} t - 4 \, q^{13} t^{2} + 16 \, q^{12} t^{3} + 12 \, q^{11} t^{4} + 14 \, q^{13} t - 12 \, q^{12} t^{2} - 44 \, q^{11} t^{3} - 36 \, q^{10} t^{4} + 4 \, q^{9} t^{5} - 40 \, q^{12} t + 52 \, q^{11} t^{2} + 170 \, q^{10} t^{3} + 30 \, q^{9} t^{4} - 40 \, q^{8} t^{5} - q^{7} t^{6} + 28 \, q^{11} t - 42 \, q^{10} t^{2} - 252 \, q^{9} t^{3} - 20 \, q^{8} t^{4} + 108 \, q^{7} t^{5} + 4 \, q^{6} t^{6} - 2 \, q^{10} t + 102 \, q^{9} t^{2} + 65 \, q^{8} t^{3} - 65 \, q^{7} t^{4} - 102 \, q^{6} t^{5} + 2 \, q^{5} t^{6} - 4 \, q^{9} t - 108 \, q^{8} t^{2} + 20 \, q^{7} t^{3} + 252 \, q^{6} t^{4} + 42 \, q^{5} t^{5} - 28 \, q^{4} t^{6} + q^{8} t + 40 \, q^{7} t^{2} - 30 \, q^{6} t^{3} - 170 \, q^{5} t^{4} - 52 \, q^{4} t^{5} + 40 \, q^{3} t^{6} - 4 \, q^{6} t^{2} + 36 \, q^{5} t^{3} + 44 \, q^{4} t^{4} + 12 \, q^{3} t^{5} - 14 \, q^{2} t^{6} - 12 \, q^{4} t^{3} - 16 \, q^{3} t^{4} + 4 \, q^{2} t^{5} + 8 \, q t^{6} - t^{7} + 4 \, q^{2} t^{4} + 4 \, q t^{5} - 4 \, t^{6} - t^{5}}{{\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{4}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[2, 5], [2, 6], [3, 4], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{10} t - 3 \, q^{9} t^{2} - 9 \, q^{8} t^{3} - q^{7} t^{4} + q^{10} + 7 \, q^{9} t + 3 \, q^{8} t^{2} + 11 \, q^{7} t^{3} + 2 \, q^{6} t^{4} - 6 \, q^{8} t - 6 \, q^{7} t^{2} + 48 \, q^{6} t^{3} + 12 \, q^{5} t^{4} - 36 \, q^{7} t - 18 \, q^{6} t^{2} - 84 \, q^{5} t^{3} - 42 \, q^{4} t^{4} + 42 \, q^{6} t + 84 \, q^{5} t^{2} + 18 \, q^{4} t^{3} + 36 \, q^{3} t^{4} - 12 \, q^{5} t - 48 \, q^{4} t^{2} + 6 \, q^{3} t^{3} + 6 \, q^{2} t^{4} - 2 \, q^{4} t - 11 \, q^{3} t^{2} - 3 \, q^{2} t^{3} - 7 \, q t^{4} - t^{5} + q^{3} t + 9 \, q^{2} t^{2} + 3 \, q t^{3} - t^{4}}{{\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 6 edges: | [[1, 6], [2, 5], [3, 4], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{17} t - 2 \, q^{16} t^{2} - q^{15} t^{3} + q^{17} - 3 \, q^{15} t^{2} + 4 \, q^{14} t^{3} + 4 \, q^{13} t^{4} + 6 \, q^{15} t - 12 \, q^{14} t^{2} + 16 \, q^{13} t^{3} + 16 \, q^{12} t^{4} - 12 \, q^{11} t^{5} - 38 \, q^{14} t + 40 \, q^{13} t^{2} - 116 \, q^{11} t^{4} + 28 \, q^{10} t^{5} - 4 \, q^{9} t^{6} + 28 \, q^{13} t - 14 \, q^{12} t^{2} + 20 \, q^{11} t^{3} + 102 \, q^{10} t^{4} - 23 \, q^{9} t^{5} + 42 \, q^{8} t^{6} + q^{7} t^{7} - 2 \, q^{12} t + 94 \, q^{11} t^{2} - 212 \, q^{10} t^{3} + 29 \, q^{9} t^{4} + 124 \, q^{8} t^{5} - 113 \, q^{7} t^{6} - 4 \, q^{6} t^{7} - 4 \, q^{11} t - 113 \, q^{10} t^{2} + 124 \, q^{9} t^{3} + 29 \, q^{8} t^{4} - 212 \, q^{7} t^{5} + 94 \, q^{6} t^{6} - 2 \, q^{5} t^{7} + q^{10} t + 42 \, q^{9} t^{2} - 23 \, q^{8} t^{3} + 102 \, q^{7} t^{4} + 20 \, q^{6} t^{5} - 14 \, q^{5} t^{6} + 28 \, q^{4} t^{7} - 4 \, q^{8} t^{2} + 28 \, q^{7} t^{3} - 116 \, q^{6} t^{4} + 40 \, q^{4} t^{6} - 38 \, q^{3} t^{7} - 12 \, q^{6} t^{3} + 16 \, q^{5} t^{4} + 16 \, q^{4} t^{5} - 12 \, q^{3} t^{6} + 6 \, q^{2} t^{7} + 4 \, q^{4} t^{4} + 4 \, q^{3} t^{5} - 3 \, q^{2} t^{6} + t^{8} - q^{2} t^{5} - 2 \, q t^{6} + t^{7}}{{\left(q^{2} - t\right)}^{4} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[1, 6], [2, 5], [2, 6], [3, 4], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + 7 \, q^{13} t + 3 \, q^{12} t^{2} - 3 \, q^{11} t^{3} - 14 \, q^{11} t^{2} - 8 \, q^{10} t^{3} - 2 \, q^{9} t^{4} - 40 \, q^{11} t - 45 \, q^{10} t^{2} + 43 \, q^{9} t^{3} + 25 \, q^{8} t^{4} + q^{7} t^{5} + 34 \, q^{10} t + 136 \, q^{9} t^{2} + 34 \, q^{8} t^{3} - 48 \, q^{7} t^{4} - 4 \, q^{6} t^{5} - 4 \, q^{9} t - 40 \, q^{8} t^{2} - 152 \, q^{7} t^{3} - 40 \, q^{6} t^{4} - 4 \, q^{5} t^{5} - 4 \, q^{8} t - 48 \, q^{7} t^{2} + 34 \, q^{6} t^{3} + 136 \, q^{5} t^{4} + 34 \, q^{4} t^{5} + q^{7} t + 25 \, q^{6} t^{2} + 43 \, q^{5} t^{3} - 45 \, q^{4} t^{4} - 40 \, q^{3} t^{5} - 2 \, q^{5} t^{2} - 8 \, q^{4} t^{3} - 14 \, q^{3} t^{4} - 3 \, q^{3} t^{3} + 3 \, q^{2} t^{4} + 7 \, q t^{5} + t^{6}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[0, 6], [1, 6], [2, 5], [3, 4], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + 5 \, q^{15} t - q^{14} t^{2} - q^{13} t^{3} + 5 \, q^{14} t - 11 \, q^{13} t^{2} - 19 \, q^{12} t^{3} + 9 \, q^{11} t^{4} - 46 \, q^{13} t - 29 \, q^{12} t^{2} + 83 \, q^{11} t^{3} - 9 \, q^{10} t^{4} + 5 \, q^{9} t^{5} + 36 \, q^{12} t + 96 \, q^{11} t^{2} + 21 \, q^{10} t^{3} - 21 \, q^{9} t^{4} - 47 \, q^{8} t^{5} - q^{7} t^{6} - 4 \, q^{11} t + 32 \, q^{10} t^{2} - 238 \, q^{9} t^{3} - 98 \, q^{8} t^{4} + 108 \, q^{7} t^{5} + 4 \, q^{6} t^{6} - 4 \, q^{10} t - 108 \, q^{9} t^{2} + 98 \, q^{8} t^{3} + 238 \, q^{7} t^{4} - 32 \, q^{6} t^{5} + 4 \, q^{5} t^{6} + q^{9} t + 47 \, q^{8} t^{2} + 21 \, q^{7} t^{3} - 21 \, q^{6} t^{4} - 96 \, q^{5} t^{5} - 36 \, q^{4} t^{6} - 5 \, q^{7} t^{2} + 9 \, q^{6} t^{3} - 83 \, q^{5} t^{4} + 29 \, q^{4} t^{5} + 46 \, q^{3} t^{6} - 9 \, q^{5} t^{3} + 19 \, q^{4} t^{4} + 11 \, q^{3} t^{5} - 5 \, q^{2} t^{6} + q^{3} t^{4} + q^{2} t^{5} - 5 \, q t^{6} - t^{7}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[0, 6], [1, 6], [2, 5], [3, 4], [3, 6], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 4 \, q^{16} t + q^{15} t^{2} + 4 \, q^{15} t - 12 \, q^{14} t^{2} - 4 \, q^{13} t^{3} - 38 \, q^{14} t - 12 \, q^{13} t^{2} - 16 \, q^{12} t^{3} + 12 \, q^{11} t^{4} + 28 \, q^{13} t + 36 \, q^{12} t^{2} + 168 \, q^{11} t^{3} - 20 \, q^{10} t^{4} + 4 \, q^{9} t^{5} - 2 \, q^{12} t + 88 \, q^{11} t^{2} - 262 \, q^{10} t^{3} - 31 \, q^{9} t^{4} - 44 \, q^{8} t^{5} - q^{7} t^{6} - 4 \, q^{11} t - 120 \, q^{10} t^{2} + 40 \, q^{9} t^{3} - 40 \, q^{8} t^{4} + 120 \, q^{7} t^{5} + 4 \, q^{6} t^{6} + q^{10} t + 44 \, q^{9} t^{2} + 31 \, q^{8} t^{3} + 262 \, q^{7} t^{4} - 88 \, q^{6} t^{5} + 2 \, q^{5} t^{6} - 4 \, q^{8} t^{2} + 20 \, q^{7} t^{3} - 168 \, q^{6} t^{4} - 36 \, q^{5} t^{5} - 28 \, q^{4} t^{6} - 12 \, q^{6} t^{3} + 16 \, q^{5} t^{4} + 12 \, q^{4} t^{5} + 38 \, q^{3} t^{6} + 4 \, q^{4} t^{4} + 12 \, q^{3} t^{5} - 4 \, q^{2} t^{6} - q^{2} t^{5} - 4 \, q t^{6} - t^{7}}{{\left(q^{2} - t\right)}^{4} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 6], [1, 6], [2, 5], [2, 6], [3, 4], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{18} t - 5 \, q^{17} t^{2} - 10 \, q^{16} t^{3} + 10 \, q^{15} t^{4} - 5 \, q^{14} t^{5} + q^{13} t^{6} + q^{18} + 9 \, q^{17} t - 11 \, q^{16} t^{2} + 69 \, q^{15} t^{3} + 45 \, q^{14} t^{4} - 51 \, q^{13} t^{5} + 21 \, q^{12} t^{6} - 3 \, q^{11} t^{7} - 19 \, q^{16} t - 55 \, q^{15} t^{2} - 15 \, q^{14} t^{3} - 307 \, q^{13} t^{4} + 17 \, q^{12} t^{5} + 15 \, q^{11} t^{6} + 11 \, q^{10} t^{7} - 7 \, q^{9} t^{8} - 28 \, q^{15} t + 201 \, q^{14} t^{2} + 165 \, q^{13} t^{3} + 73 \, q^{12} t^{4} + 663 \, q^{11} t^{5} - 25 \, q^{10} t^{6} - 129 \, q^{9} t^{7} + 39 \, q^{8} t^{8} + q^{7} t^{9} + 40 \, q^{14} t - 44 \, q^{13} t^{2} - 655 \, q^{12} t^{3} + 167 \, q^{11} t^{4} - 800 \, q^{10} t^{5} - 630 \, q^{9} t^{6} + 285 \, q^{8} t^{7} - 41 \, q^{7} t^{8} - 2 \, q^{6} t^{9} - 12 \, q^{13} t - 32 \, q^{12} t^{2} + 162 \, q^{11} t^{3} + 840 \, q^{10} t^{4} + 100 \, q^{9} t^{5} + 840 \, q^{8} t^{6} + 162 \, q^{7} t^{7} - 32 \, q^{6} t^{8} - 12 \, q^{5} t^{9} - 2 \, q^{12} t - 41 \, q^{11} t^{2} + 285 \, q^{10} t^{3} - 630 \, q^{9} t^{4} - 800 \, q^{8} t^{5} + 167 \, q^{7} t^{6} - 655 \, q^{6} t^{7} - 44 \, q^{5} t^{8} + 40 \, q^{4} t^{9} + q^{11} t + 39 \, q^{10} t^{2} - 129 \, q^{9} t^{3} - 25 \, q^{8} t^{4} + 663 \, q^{7} t^{5} + 73 \, q^{6} t^{6} + 165 \, q^{5} t^{7} + 201 \, q^{4} t^{8} - 28 \, q^{3} t^{9} - 7 \, q^{9} t^{2} + 11 \, q^{8} t^{3} + 15 \, q^{7} t^{4} + 17 \, q^{6} t^{5} - 307 \, q^{5} t^{6} - 15 \, q^{4} t^{7} - 55 \, q^{3} t^{8} - 19 \, q^{2} t^{9} - 3 \, q^{7} t^{3} + 21 \, q^{6} t^{4} - 51 \, q^{5} t^{5} + 45 \, q^{4} t^{6} + 69 \, q^{3} t^{7} - 11 \, q^{2} t^{8} + 9 \, q t^{9} + t^{10} + q^{5} t^{4} - 5 \, q^{4} t^{5} + 10 \, q^{3} t^{6} - 10 \, q^{2} t^{7} - 5 \, q t^{8} + t^{9}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{5} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 5 edges: | [[1, 6], [2, 5], [3, 4], [3, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{16} t - 3 \, q^{15} t^{2} - 3 \, q^{14} t^{3} + q^{13} t^{4} + q^{16} + 3 \, q^{15} t - 4 \, q^{14} t^{2} + 4 \, q^{13} t^{3} + 19 \, q^{12} t^{4} - 3 \, q^{11} t^{5} + 5 \, q^{14} t - 15 \, q^{13} t^{2} + 40 \, q^{12} t^{3} - 28 \, q^{11} t^{4} - 15 \, q^{10} t^{5} - 7 \, q^{9} t^{6} - 54 \, q^{13} t + 21 \, q^{12} t^{2} + 25 \, q^{11} t^{3} - 142 \, q^{10} t^{4} + 20 \, q^{9} t^{5} + 49 \, q^{8} t^{6} + q^{7} t^{7} + 52 \, q^{12} t + 84 \, q^{11} t^{2} - 113 \, q^{10} t^{3} + 211 \, q^{9} t^{4} + 131 \, q^{8} t^{5} - 83 \, q^{7} t^{6} - 2 \, q^{6} t^{7} - 14 \, q^{11} t - 14 \, q^{10} t^{2} - 142 \, q^{9} t^{3} - 52 \, q^{8} t^{4} - 142 \, q^{7} t^{5} - 14 \, q^{6} t^{6} - 14 \, q^{5} t^{7} - 2 \, q^{10} t - 83 \, q^{9} t^{2} + 131 \, q^{8} t^{3} + 211 \, q^{7} t^{4} - 113 \, q^{6} t^{5} + 84 \, q^{5} t^{6} + 52 \, q^{4} t^{7} + q^{9} t + 49 \, q^{8} t^{2} + 20 \, q^{7} t^{3} - 142 \, q^{6} t^{4} + 25 \, q^{5} t^{5} + 21 \, q^{4} t^{6} - 54 \, q^{3} t^{7} - 7 \, q^{7} t^{2} - 15 \, q^{6} t^{3} - 28 \, q^{5} t^{4} + 40 \, q^{4} t^{5} - 15 \, q^{3} t^{6} + 5 \, q^{2} t^{7} - 3 \, q^{5} t^{3} + 19 \, q^{4} t^{4} + 4 \, q^{3} t^{5} - 4 \, q^{2} t^{6} + 3 \, q t^{7} + t^{8} + q^{3} t^{4} - 3 \, q^{2} t^{5} - 3 \, q t^{6} + t^{7}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 6 edges: | [[1, 6], [2, 5], [3, 4], [3, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{22} t^{2} + 4 \, q^{22} t - 4 \, q^{21} t^{2} - 3 \, q^{20} t^{3} + q^{22} - 8 \, q^{21} t - 4 \, q^{20} t^{2} + 9 \, q^{19} t^{3} + 5 \, q^{18} t^{4} + 7 \, q^{20} t - 4 \, q^{19} t^{2} - 6 \, q^{18} t^{3} - 5 \, q^{17} t^{4} + q^{16} t^{5} - 11 \, q^{19} t + 11 \, q^{18} t^{2} + 44 \, q^{17} t^{3} - 23 \, q^{16} t^{4} - 21 \, q^{15} t^{5} - 22 \, q^{18} t + 15 \, q^{17} t^{2} + 5 \, q^{16} t^{3} + 36 \, q^{15} t^{4} + 37 \, q^{14} t^{5} - 3 \, q^{13} t^{6} + 36 \, q^{17} t + 77 \, q^{16} t^{2} - 118 \, q^{15} t^{3} - 126 \, q^{14} t^{4} + 29 \, q^{13} t^{5} + 39 \, q^{12} t^{6} - 18 \, q^{16} t - 56 \, q^{15} t^{2} - 79 \, q^{14} t^{3} + 22 \, q^{13} t^{4} - 90 \, q^{12} t^{5} - 89 \, q^{11} t^{6} + q^{10} t^{7} + 3 \, q^{15} t - 12 \, q^{14} t^{2} + 65 \, q^{13} t^{3} + 454 \, q^{12} t^{4} + 281 \, q^{11} t^{5} + 54 \, q^{10} t^{6} - 13 \, q^{9} t^{7} + 13 \, q^{13} t^{2} - 54 \, q^{12} t^{3} - 281 \, q^{11} t^{4} - 454 \, q^{10} t^{5} - 65 \, q^{9} t^{6} + 12 \, q^{8} t^{7} - 3 \, q^{7} t^{8} - q^{12} t^{2} + 89 \, q^{11} t^{3} + 90 \, q^{10} t^{4} - 22 \, q^{9} t^{5} + 79 \, q^{8} t^{6} + 56 \, q^{7} t^{7} + 18 \, q^{6} t^{8} - 39 \, q^{10} t^{3} - 29 \, q^{9} t^{4} + 126 \, q^{8} t^{5} + 118 \, q^{7} t^{6} - 77 \, q^{6} t^{7} - 36 \, q^{5} t^{8} + 3 \, q^{9} t^{3} - 37 \, q^{8} t^{4} - 36 \, q^{7} t^{5} - 5 \, q^{6} t^{6} - 15 \, q^{5} t^{7} + 22 \, q^{4} t^{8} + 21 \, q^{7} t^{4} + 23 \, q^{6} t^{5} - 44 \, q^{5} t^{6} - 11 \, q^{4} t^{7} + 11 \, q^{3} t^{8} - q^{6} t^{4} + 5 \, q^{5} t^{5} + 6 \, q^{4} t^{6} + 4 \, q^{3} t^{7} - 7 \, q^{2} t^{8} - 5 \, q^{4} t^{5} - 9 \, q^{3} t^{6} + 4 \, q^{2} t^{7} + 8 \, q t^{8} - t^{9} + 3 \, q^{2} t^{6} + 4 \, q t^{7} - 4 \, t^{8} - t^{7}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{4}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{13} t^{2} + 4 \, q^{13} t - 4 \, q^{12} t^{2} - 3 \, q^{11} t^{3} + q^{13} - 8 \, q^{12} t - 4 \, q^{11} t^{2} + 12 \, q^{10} t^{3} + 5 \, q^{9} t^{4} + 7 \, q^{11} t + 4 \, q^{10} t^{2} - 18 \, q^{9} t^{3} - 14 \, q^{8} t^{4} + q^{7} t^{5} - 16 \, q^{10} t + 11 \, q^{9} t^{2} + 42 \, q^{8} t^{3} + 8 \, q^{7} t^{4} - 6 \, q^{6} t^{5} + 2 \, q^{9} t + 16 \, q^{8} t^{2} - 43 \, q^{7} t^{3} - 8 \, q^{6} t^{4} + 10 \, q^{5} t^{5} + 10 \, q^{8} t - 8 \, q^{7} t^{2} - 43 \, q^{6} t^{3} + 16 \, q^{5} t^{4} + 2 \, q^{4} t^{5} - 6 \, q^{7} t + 8 \, q^{6} t^{2} + 42 \, q^{5} t^{3} + 11 \, q^{4} t^{4} - 16 \, q^{3} t^{5} + q^{6} t - 14 \, q^{5} t^{2} - 18 \, q^{4} t^{3} + 4 \, q^{3} t^{4} + 7 \, q^{2} t^{5} + 5 \, q^{4} t^{2} + 12 \, q^{3} t^{3} - 4 \, q^{2} t^{4} - 8 \, q t^{5} + t^{6} - 3 \, q^{2} t^{3} - 4 \, q t^{4} + 4 \, t^{5} + t^{4}}{{\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{4}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{14} t - 3 \, q^{13} t^{2} - 3 \, q^{12} t^{3} + q^{11} t^{4} + q^{14} + 3 \, q^{13} t - 3 \, q^{12} t^{2} + 13 \, q^{11} t^{3} + 8 \, q^{10} t^{4} - 2 \, q^{9} t^{5} - 6 \, q^{12} t - 6 \, q^{11} t^{2} + 9 \, q^{10} t^{3} - 25 \, q^{9} t^{4} - 3 \, q^{8} t^{5} - q^{7} t^{6} - 16 \, q^{11} t + 23 \, q^{10} t^{2} - q^{9} t^{3} - 29 \, q^{8} t^{4} + 17 \, q^{7} t^{5} + 6 \, q^{6} t^{6} + 8 \, q^{10} t + 36 \, q^{9} t^{2} - 46 \, q^{8} t^{3} + 52 \, q^{7} t^{4} + 14 \, q^{6} t^{5} - 8 \, q^{5} t^{6} + 8 \, q^{9} t - 14 \, q^{8} t^{2} - 52 \, q^{7} t^{3} + 46 \, q^{6} t^{4} - 36 \, q^{5} t^{5} - 8 \, q^{4} t^{6} - 6 \, q^{8} t - 17 \, q^{7} t^{2} + 29 \, q^{6} t^{3} + q^{5} t^{4} - 23 \, q^{4} t^{5} + 16 \, q^{3} t^{6} + q^{7} t + 3 \, q^{6} t^{2} + 25 \, q^{5} t^{3} - 9 \, q^{4} t^{4} + 6 \, q^{3} t^{5} + 6 \, q^{2} t^{6} + 2 \, q^{5} t^{2} - 8 \, q^{4} t^{3} - 13 \, q^{3} t^{4} + 3 \, q^{2} t^{5} - 3 \, q t^{6} - t^{7} - q^{3} t^{3} + 3 \, q^{2} t^{4} + 3 \, q t^{5} - t^{6}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[1, 6], [2, 5], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{14} t - 3 \, q^{13} t^{2} - 3 \, q^{12} t^{3} + q^{11} t^{4} + q^{14} + 3 \, q^{13} t - 3 \, q^{12} t^{2} + 17 \, q^{11} t^{3} + 8 \, q^{10} t^{4} - 2 \, q^{9} t^{5} - 10 \, q^{12} t - 4 \, q^{11} t^{2} - 7 \, q^{10} t^{3} - 35 \, q^{9} t^{4} - 3 \, q^{8} t^{5} - q^{7} t^{6} - 6 \, q^{11} t + 35 \, q^{10} t^{2} + 13 \, q^{9} t^{3} + 11 \, q^{8} t^{4} + 25 \, q^{7} t^{5} + 6 \, q^{6} t^{6} - 2 \, q^{9} t^{2} - 62 \, q^{8} t^{3} + 8 \, q^{7} t^{4} - 18 \, q^{6} t^{5} - 10 \, q^{5} t^{6} + 10 \, q^{9} t + 18 \, q^{8} t^{2} - 8 \, q^{7} t^{3} + 62 \, q^{6} t^{4} + 2 \, q^{5} t^{5} - 6 \, q^{8} t - 25 \, q^{7} t^{2} - 11 \, q^{6} t^{3} - 13 \, q^{5} t^{4} - 35 \, q^{4} t^{5} + 6 \, q^{3} t^{6} + q^{7} t + 3 \, q^{6} t^{2} + 35 \, q^{5} t^{3} + 7 \, q^{4} t^{4} + 4 \, q^{3} t^{5} + 10 \, q^{2} t^{6} + 2 \, q^{5} t^{2} - 8 \, q^{4} t^{3} - 17 \, q^{3} t^{4} + 3 \, q^{2} t^{5} - 3 \, q t^{6} - t^{7} - q^{3} t^{3} + 3 \, q^{2} t^{4} + 3 \, q t^{5} - t^{6}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[1, 6], [2, 5], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{17} t - 2 \, q^{16} t^{2} - q^{15} t^{3} + q^{17} - 3 \, q^{15} t^{2} + 6 \, q^{14} t^{3} + 4 \, q^{13} t^{4} + 2 \, q^{15} t - 8 \, q^{14} t^{2} + 12 \, q^{13} t^{3} + 4 \, q^{12} t^{4} - 10 \, q^{11} t^{5} - 24 \, q^{14} t + 26 \, q^{13} t^{2} + 2 \, q^{12} t^{3} - 74 \, q^{11} t^{4} + 20 \, q^{10} t^{5} + 10 \, q^{13} t + 14 \, q^{12} t^{2} + 2 \, q^{11} t^{3} + 48 \, q^{10} t^{4} + 5 \, q^{9} t^{5} + 20 \, q^{8} t^{6} + q^{7} t^{7} + 8 \, q^{12} t + 50 \, q^{11} t^{2} - 158 \, q^{10} t^{3} + 53 \, q^{9} t^{4} + 66 \, q^{8} t^{5} - 69 \, q^{7} t^{6} - 6 \, q^{6} t^{7} - 6 \, q^{11} t - 69 \, q^{10} t^{2} + 66 \, q^{9} t^{3} + 53 \, q^{8} t^{4} - 158 \, q^{7} t^{5} + 50 \, q^{6} t^{6} + 8 \, q^{5} t^{7} + q^{10} t + 20 \, q^{9} t^{2} + 5 \, q^{8} t^{3} + 48 \, q^{7} t^{4} + 2 \, q^{6} t^{5} + 14 \, q^{5} t^{6} + 10 \, q^{4} t^{7} + 20 \, q^{7} t^{3} - 74 \, q^{6} t^{4} + 2 \, q^{5} t^{5} + 26 \, q^{4} t^{6} - 24 \, q^{3} t^{7} - 10 \, q^{6} t^{3} + 4 \, q^{5} t^{4} + 12 \, q^{4} t^{5} - 8 \, q^{3} t^{6} + 2 \, q^{2} t^{7} + 4 \, q^{4} t^{4} + 6 \, q^{3} t^{5} - 3 \, q^{2} t^{6} + t^{8} - q^{2} t^{5} - 2 \, q t^{6} + t^{7}}{{\left(q^{2} - t\right)}^{4} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[1, 6], [2, 5], [2, 6], [3, 4], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{21} t - 2 \, q^{20} t^{2} - q^{19} t^{3} + q^{21} - 2 \, q^{19} t^{2} + 6 \, q^{18} t^{3} + 3 \, q^{17} t^{4} - q^{19} t - 6 \, q^{18} t^{2} + 8 \, q^{17} t^{3} - 5 \, q^{15} t^{5} - 12 \, q^{18} t + 17 \, q^{17} t^{2} + 8 \, q^{16} t^{3} - 34 \, q^{15} t^{4} + 6 \, q^{14} t^{5} - q^{13} t^{6} - 8 \, q^{17} t + 6 \, q^{16} t^{2} - 28 \, q^{14} t^{4} - 2 \, q^{13} t^{5} + 16 \, q^{12} t^{6} + 18 \, q^{16} t + 71 \, q^{15} t^{2} - 76 \, q^{14} t^{3} + 68 \, q^{13} t^{4} + 82 \, q^{12} t^{5} - 29 \, q^{11} t^{6} + 2 \, q^{10} t^{7} - 8 \, q^{15} t - 39 \, q^{14} t^{2} - 99 \, q^{13} t^{3} + 23 \, q^{12} t^{4} - 30 \, q^{11} t^{5} - 4 \, q^{10} t^{6} - 17 \, q^{9} t^{7} + q^{14} t - 24 \, q^{13} t^{2} + 52 \, q^{12} t^{3} + 145 \, q^{11} t^{4} - 145 \, q^{10} t^{5} - 52 \, q^{9} t^{6} + 24 \, q^{8} t^{7} - q^{7} t^{8} + 17 \, q^{12} t^{2} + 4 \, q^{11} t^{3} + 30 \, q^{10} t^{4} - 23 \, q^{9} t^{5} + 99 \, q^{8} t^{6} + 39 \, q^{7} t^{7} + 8 \, q^{6} t^{8} - 2 \, q^{11} t^{2} + 29 \, q^{10} t^{3} - 82 \, q^{9} t^{4} - 68 \, q^{8} t^{5} + 76 \, q^{7} t^{6} - 71 \, q^{6} t^{7} - 18 \, q^{5} t^{8} - 16 \, q^{9} t^{3} + 2 \, q^{8} t^{4} + 28 \, q^{7} t^{5} - 6 \, q^{5} t^{7} + 8 \, q^{4} t^{8} + q^{8} t^{3} - 6 \, q^{7} t^{4} + 34 \, q^{6} t^{5} - 8 \, q^{5} t^{6} - 17 \, q^{4} t^{7} + 12 \, q^{3} t^{8} + 5 \, q^{6} t^{4} - 8 \, q^{4} t^{6} + 6 \, q^{3} t^{7} + q^{2} t^{8} - 3 \, q^{4} t^{5} - 6 \, q^{3} t^{6} + 2 \, q^{2} t^{7} - t^{9} + q^{2} t^{6} + 2 \, q t^{7} - t^{8}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[1, 6], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{15} t - 2 \, q^{14} t^{2} - q^{13} t^{3} + q^{15} - 2 \, q^{13} t^{2} + 6 \, q^{12} t^{3} + 3 \, q^{11} t^{4} - q^{13} t - 4 \, q^{12} t^{2} + 6 \, q^{11} t^{3} - 2 \, q^{10} t^{4} - 5 \, q^{9} t^{5} - 14 \, q^{12} t + 21 \, q^{11} t^{2} - 6 \, q^{10} t^{3} - 28 \, q^{9} t^{4} + 12 \, q^{8} t^{5} - q^{7} t^{6} + 2 \, q^{11} t + 14 \, q^{10} t^{2} - 9 \, q^{9} t^{3} + 14 \, q^{8} t^{4} + q^{7} t^{5} + 6 \, q^{6} t^{6} + 10 \, q^{10} t + 2 \, q^{9} t^{2} - 44 \, q^{8} t^{3} + 44 \, q^{7} t^{4} - 2 \, q^{6} t^{5} - 10 \, q^{5} t^{6} - 6 \, q^{9} t - q^{8} t^{2} - 14 \, q^{7} t^{3} + 9 \, q^{6} t^{4} - 14 \, q^{5} t^{5} - 2 \, q^{4} t^{6} + q^{8} t - 12 \, q^{7} t^{2} + 28 \, q^{6} t^{3} + 6 \, q^{5} t^{4} - 21 \, q^{4} t^{5} + 14 \, q^{3} t^{6} + 5 \, q^{6} t^{2} + 2 \, q^{5} t^{3} - 6 \, q^{4} t^{4} + 4 \, q^{3} t^{5} + q^{2} t^{6} - 3 \, q^{4} t^{3} - 6 \, q^{3} t^{4} + 2 \, q^{2} t^{5} - t^{7} + q^{2} t^{4} + 2 \, q t^{5} - t^{6}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[1, 6], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + 5 \, q^{13} t - q^{12} t^{2} - q^{11} t^{3} - 6 \, q^{12} t - 14 \, q^{11} t^{2} - 4 \, q^{10} t^{3} + 4 \, q^{9} t^{4} - 12 \, q^{11} t + 21 \, q^{10} t^{2} + 35 \, q^{9} t^{3} - 5 \, q^{8} t^{4} + q^{7} t^{5} + 2 \, q^{10} t + 6 \, q^{9} t^{2} - 26 \, q^{8} t^{3} - 20 \, q^{7} t^{4} - 6 \, q^{6} t^{5} + 10 \, q^{9} t + 24 \, q^{8} t^{2} - 28 \, q^{7} t^{3} + 24 \, q^{6} t^{4} + 10 \, q^{5} t^{5} - 6 \, q^{8} t - 20 \, q^{7} t^{2} - 26 \, q^{6} t^{3} + 6 \, q^{5} t^{4} + 2 \, q^{4} t^{5} + q^{7} t - 5 \, q^{6} t^{2} + 35 \, q^{5} t^{3} + 21 \, q^{4} t^{4} - 12 \, q^{3} t^{5} + 4 \, q^{5} t^{2} - 4 \, q^{4} t^{3} - 14 \, q^{3} t^{4} - 6 \, q^{2} t^{5} - q^{3} t^{3} - q^{2} t^{4} + 5 \, q t^{5} + t^{6}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 6], [1, 6], [2, 5], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 4 \, q^{16} t + q^{15} t^{2} - 12 \, q^{14} t^{2} - 4 \, q^{13} t^{3} - 22 \, q^{14} t - 18 \, q^{13} t^{2} + 10 \, q^{11} t^{4} + 6 \, q^{13} t + 60 \, q^{12} t^{2} + 112 \, q^{11} t^{3} - 16 \, q^{10} t^{4} - 2 \, q^{9} t^{5} + 10 \, q^{12} t + 36 \, q^{11} t^{2} - 172 \, q^{10} t^{3} - 59 \, q^{9} t^{4} - 10 \, q^{8} t^{5} - q^{7} t^{6} - 6 \, q^{11} t - 58 \, q^{10} t^{2} - 36 \, q^{9} t^{3} + 36 \, q^{8} t^{4} + 58 \, q^{7} t^{5} + 6 \, q^{6} t^{6} + q^{10} t + 10 \, q^{9} t^{2} + 59 \, q^{8} t^{3} + 172 \, q^{7} t^{4} - 36 \, q^{6} t^{5} - 10 \, q^{5} t^{6} + 2 \, q^{8} t^{2} + 16 \, q^{7} t^{3} - 112 \, q^{6} t^{4} - 60 \, q^{5} t^{5} - 6 \, q^{4} t^{6} - 10 \, q^{6} t^{3} + 18 \, q^{4} t^{5} + 22 \, q^{3} t^{6} + 4 \, q^{4} t^{4} + 12 \, q^{3} t^{5} - q^{2} t^{5} - 4 \, q t^{6} - t^{7}}{{\left(q^{2} - t\right)}^{4} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 6], [1, 6], [2, 5], [2, 6], [3, 4], [3, 5], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 4 \, q^{16} t + q^{15} t^{2} - 2 \, q^{15} t - 14 \, q^{14} t^{2} - 4 \, q^{13} t^{3} - 18 \, q^{14} t - 2 \, q^{13} t^{2} + 4 \, q^{12} t^{3} + 10 \, q^{11} t^{4} + 4 \, q^{13} t + 34 \, q^{12} t^{2} + 86 \, q^{11} t^{3} - 18 \, q^{10} t^{4} - 2 \, q^{9} t^{5} + 10 \, q^{12} t + 48 \, q^{11} t^{2} - 140 \, q^{10} t^{3} - 47 \, q^{9} t^{4} - 10 \, q^{8} t^{5} - q^{7} t^{6} - 6 \, q^{11} t - 58 \, q^{10} t^{2} - 36 \, q^{9} t^{3} + 36 \, q^{8} t^{4} + 58 \, q^{7} t^{5} + 6 \, q^{6} t^{6} + q^{10} t + 10 \, q^{9} t^{2} + 47 \, q^{8} t^{3} + 140 \, q^{7} t^{4} - 48 \, q^{6} t^{5} - 10 \, q^{5} t^{6} + 2 \, q^{8} t^{2} + 18 \, q^{7} t^{3} - 86 \, q^{6} t^{4} - 34 \, q^{5} t^{5} - 4 \, q^{4} t^{6} - 10 \, q^{6} t^{3} - 4 \, q^{5} t^{4} + 2 \, q^{4} t^{5} + 18 \, q^{3} t^{6} + 4 \, q^{4} t^{4} + 14 \, q^{3} t^{5} + 2 \, q^{2} t^{6} - q^{2} t^{5} - 4 \, q t^{6} - t^{7}}{{\left(q^{2} - t\right)}^{4} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 6], [1, 6], [2, 5], [2, 6], [3, 4], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + 4 \, q^{17} t + q^{16} t^{2} - 3 \, q^{16} t - 12 \, q^{15} t^{2} - 3 \, q^{14} t^{3} - 13 \, q^{15} t + 3 \, q^{14} t^{2} + 3 \, q^{13} t^{3} + 5 \, q^{12} t^{4} - 2 \, q^{14} t + 5 \, q^{13} t^{2} + 41 \, q^{12} t^{3} - 7 \, q^{11} t^{4} + q^{10} t^{5} + 12 \, q^{13} t + 64 \, q^{12} t^{2} - 7 \, q^{11} t^{3} - 10 \, q^{10} t^{4} - 11 \, q^{9} t^{5} - 6 \, q^{12} t - 32 \, q^{11} t^{2} - 142 \, q^{10} t^{3} - 61 \, q^{9} t^{4} + 18 \, q^{8} t^{5} - q^{7} t^{6} + q^{11} t - 18 \, q^{10} t^{2} + 61 \, q^{9} t^{3} + 142 \, q^{8} t^{4} + 32 \, q^{7} t^{5} + 6 \, q^{6} t^{6} + 11 \, q^{9} t^{2} + 10 \, q^{8} t^{3} + 7 \, q^{7} t^{4} - 64 \, q^{6} t^{5} - 12 \, q^{5} t^{6} - q^{8} t^{2} + 7 \, q^{7} t^{3} - 41 \, q^{6} t^{4} - 5 \, q^{5} t^{5} + 2 \, q^{4} t^{6} - 5 \, q^{6} t^{3} - 3 \, q^{5} t^{4} - 3 \, q^{4} t^{5} + 13 \, q^{3} t^{6} + 3 \, q^{4} t^{4} + 12 \, q^{3} t^{5} + 3 \, q^{2} t^{6} - q^{2} t^{5} - 4 \, q t^{6} - t^{7}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 6], [1, 6], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + 4 \, q^{14} t + q^{13} t^{2} - 3 \, q^{13} t - 12 \, q^{12} t^{2} - 3 \, q^{11} t^{3} - 14 \, q^{12} t + 5 \, q^{11} t^{2} + 4 \, q^{10} t^{3} + 5 \, q^{9} t^{4} + 2 \, q^{11} t + 20 \, q^{10} t^{2} + 35 \, q^{9} t^{3} - 10 \, q^{8} t^{4} + q^{7} t^{5} + 10 \, q^{10} t + 18 \, q^{9} t^{2} - 46 \, q^{8} t^{3} - 12 \, q^{7} t^{4} - 6 \, q^{6} t^{5} - 6 \, q^{9} t - 12 \, q^{8} t^{2} - 46 \, q^{7} t^{3} + 18 \, q^{6} t^{4} + 10 \, q^{5} t^{5} + q^{8} t - 10 \, q^{7} t^{2} + 35 \, q^{6} t^{3} + 20 \, q^{5} t^{4} + 2 \, q^{4} t^{5} + 5 \, q^{6} t^{2} + 4 \, q^{5} t^{3} + 5 \, q^{4} t^{4} - 14 \, q^{3} t^{5} - 3 \, q^{4} t^{3} - 12 \, q^{3} t^{4} - 3 \, q^{2} t^{5} + q^{2} t^{4} + 4 \, q t^{5} + t^{6}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 6], [1, 6], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{11} t - 4 \, q^{10} t^{2} - 14 \, q^{9} t^{3} + 4 \, q^{8} t^{4} + q^{7} t^{5} + q^{11} + 10 \, q^{10} t + 2 \, q^{9} t^{2} + 46 \, q^{8} t^{3} + 5 \, q^{7} t^{4} - 4 \, q^{6} t^{5} - 24 \, q^{9} t - 26 \, q^{8} t^{2} - 12 \, q^{7} t^{3} - 46 \, q^{6} t^{4} - 4 \, q^{8} t + 58 \, q^{7} t^{2} - 30 \, q^{6} t^{3} + 22 \, q^{5} t^{4} + 14 \, q^{4} t^{5} + 14 \, q^{7} t + 22 \, q^{6} t^{2} - 30 \, q^{5} t^{3} + 58 \, q^{4} t^{4} - 4 \, q^{3} t^{5} - 46 \, q^{5} t^{2} - 12 \, q^{4} t^{3} - 26 \, q^{3} t^{4} - 24 \, q^{2} t^{5} - 4 \, q^{5} t + 5 \, q^{4} t^{2} + 46 \, q^{3} t^{3} + 2 \, q^{2} t^{4} + 10 \, q t^{5} + t^{6} + q^{4} t + 4 \, q^{3} t^{2} - 14 \, q^{2} t^{3} - 4 \, q t^{4} + t^{5}}{{\left(q - t\right)}^{4} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 6 edges: | [[1, 5], [2, 6], [3, 4], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{11} t - 4 \, q^{10} t^{2} - 14 \, q^{9} t^{3} + 4 \, q^{8} t^{4} + q^{7} t^{5} + q^{11} + 10 \, q^{10} t + 2 \, q^{9} t^{2} + 52 \, q^{8} t^{3} + q^{7} t^{4} - 6 \, q^{6} t^{5} - 28 \, q^{9} t - 26 \, q^{8} t^{2} - 30 \, q^{7} t^{3} - 34 \, q^{6} t^{4} + 10 \, q^{5} t^{5} + 10 \, q^{8} t + 62 \, q^{7} t^{2} - 18 \, q^{6} t^{3} + 10 \, q^{5} t^{4} - 4 \, q^{4} t^{5} - 4 \, q^{7} t + 10 \, q^{6} t^{2} - 18 \, q^{5} t^{3} + 62 \, q^{4} t^{4} + 10 \, q^{3} t^{5} + 10 \, q^{6} t - 34 \, q^{5} t^{2} - 30 \, q^{4} t^{3} - 26 \, q^{3} t^{4} - 28 \, q^{2} t^{5} - 6 \, q^{5} t + q^{4} t^{2} + 52 \, q^{3} t^{3} + 2 \, q^{2} t^{4} + 10 \, q t^{5} + t^{6} + q^{4} t + 4 \, q^{3} t^{2} - 14 \, q^{2} t^{3} - 4 \, q t^{4} + t^{5}}{{\left(q - t\right)}^{4} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 6 edges: | [[1, 5], [2, 5], [3, 4], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + 9 \, q^{15} t - 4 \, q^{14} t^{2} - 8 \, q^{13} t^{3} + 9 \, q^{12} t^{4} - 3 \, q^{11} t^{5} - 10 \, q^{14} t - 52 \, q^{13} t^{2} + 20 \, q^{12} t^{3} + 14 \, q^{11} t^{4} - 2 \, q^{10} t^{5} - 2 \, q^{9} t^{6} - 32 \, q^{13} t + 93 \, q^{12} t^{2} + 179 \, q^{11} t^{3} - 122 \, q^{10} t^{4} - 28 \, q^{9} t^{5} + 21 \, q^{8} t^{6} + q^{7} t^{7} + 32 \, q^{12} t + 52 \, q^{11} t^{2} - 356 \, q^{10} t^{3} - 82 \, q^{9} t^{4} + 160 \, q^{8} t^{5} - 26 \, q^{7} t^{6} - 4 \, q^{6} t^{7} - 4 \, q^{11} t - 54 \, q^{10} t^{2} - 18 \, q^{9} t^{3} + 432 \, q^{8} t^{4} - 18 \, q^{7} t^{5} - 54 \, q^{6} t^{6} - 4 \, q^{5} t^{7} - 4 \, q^{10} t - 26 \, q^{9} t^{2} + 160 \, q^{8} t^{3} - 82 \, q^{7} t^{4} - 356 \, q^{6} t^{5} + 52 \, q^{5} t^{6} + 32 \, q^{4} t^{7} + q^{9} t + 21 \, q^{8} t^{2} - 28 \, q^{7} t^{3} - 122 \, q^{6} t^{4} + 179 \, q^{5} t^{5} + 93 \, q^{4} t^{6} - 32 \, q^{3} t^{7} - 2 \, q^{7} t^{2} - 2 \, q^{6} t^{3} + 14 \, q^{5} t^{4} + 20 \, q^{4} t^{5} - 52 \, q^{3} t^{6} - 10 \, q^{2} t^{7} - 3 \, q^{5} t^{3} + 9 \, q^{4} t^{4} - 8 \, q^{3} t^{5} - 4 \, q^{2} t^{6} + 9 \, q t^{7} + t^{8}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{5} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 6 edges: | [[0, 6], [1, 5], [2, 5], [3, 4], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{13} + 8 \, q^{12} t - 4 \, q^{10} t^{3} + 3 \, q^{9} t^{4} - 11 \, q^{11} t - 30 \, q^{10} t^{2} + 2 \, q^{9} t^{3} - 2 \, q^{8} t^{4} + q^{7} t^{5} - 14 \, q^{10} t + 42 \, q^{9} t^{2} + 60 \, q^{8} t^{3} - 10 \, q^{7} t^{4} - 6 \, q^{6} t^{5} + 8 \, q^{9} t + 26 \, q^{8} t^{2} - 68 \, q^{7} t^{3} - 14 \, q^{6} t^{4} + 8 \, q^{5} t^{5} + 8 \, q^{8} t - 14 \, q^{7} t^{2} - 68 \, q^{6} t^{3} + 26 \, q^{5} t^{4} + 8 \, q^{4} t^{5} - 6 \, q^{7} t - 10 \, q^{6} t^{2} + 60 \, q^{5} t^{3} + 42 \, q^{4} t^{4} - 14 \, q^{3} t^{5} + q^{6} t - 2 \, q^{5} t^{2} + 2 \, q^{4} t^{3} - 30 \, q^{3} t^{4} - 11 \, q^{2} t^{5} + 3 \, q^{4} t^{2} - 4 \, q^{3} t^{3} + 8 \, q t^{5} + t^{6}}{{\left(q^{2} - t\right)} {\left(q - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[0, 6], [1, 5], [2, 5], [3, 4], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{15} t + q^{15} - 2 \, q^{14} t - 4 \, q^{13} t^{2} + 12 \, q^{13} t - 14 \, q^{11} t^{3} - 32 \, q^{12} t + 14 \, q^{11} t^{2} + 64 \, q^{10} t^{3} + 4 \, q^{9} t^{4} + 12 \, q^{11} t - 44 \, q^{10} t^{2} - 76 \, q^{9} t^{3} + 4 \, q^{8} t^{4} + q^{7} t^{5} + 8 \, q^{10} t + 108 \, q^{9} t^{2} + 16 \, q^{8} t^{3} - 67 \, q^{7} t^{4} - 6 \, q^{6} t^{5} - 6 \, q^{9} t - 67 \, q^{8} t^{2} + 16 \, q^{7} t^{3} + 108 \, q^{6} t^{4} + 8 \, q^{5} t^{5} + q^{8} t + 4 \, q^{7} t^{2} - 76 \, q^{6} t^{3} - 44 \, q^{5} t^{4} + 12 \, q^{4} t^{5} + 4 \, q^{6} t^{2} + 64 \, q^{5} t^{3} + 14 \, q^{4} t^{4} - 32 \, q^{3} t^{5} - 14 \, q^{4} t^{3} + 12 \, q^{2} t^{5} - 4 \, q^{2} t^{4} - 2 \, q t^{5} + t^{6} + t^{5}}{{\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[1, 5], [1, 6], [2, 5], [2, 6], [3, 4], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + 5 \, q^{15} t - q^{14} t^{2} - q^{13} t^{3} - 3 \, q^{14} t - 15 \, q^{13} t^{2} - 9 \, q^{12} t^{3} + 7 \, q^{11} t^{4} - 22 \, q^{13} t - q^{12} t^{2} + 63 \, q^{11} t^{3} - 7 \, q^{10} t^{4} - q^{9} t^{5} + 10 \, q^{12} t + 62 \, q^{11} t^{2} - 21 \, q^{10} t^{3} - 37 \, q^{9} t^{4} - 13 \, q^{8} t^{5} - q^{7} t^{6} + 8 \, q^{11} t + 10 \, q^{10} t^{2} - 116 \, q^{9} t^{3} - 12 \, q^{8} t^{4} + 48 \, q^{7} t^{5} + 6 \, q^{6} t^{6} - 6 \, q^{10} t - 48 \, q^{9} t^{2} + 12 \, q^{8} t^{3} + 116 \, q^{7} t^{4} - 10 \, q^{6} t^{5} - 8 \, q^{5} t^{6} + q^{9} t + 13 \, q^{8} t^{2} + 37 \, q^{7} t^{3} + 21 \, q^{6} t^{4} - 62 \, q^{5} t^{5} - 10 \, q^{4} t^{6} + q^{7} t^{2} + 7 \, q^{6} t^{3} - 63 \, q^{5} t^{4} + q^{4} t^{5} + 22 \, q^{3} t^{6} - 7 \, q^{5} t^{3} + 9 \, q^{4} t^{4} + 15 \, q^{3} t^{5} + 3 \, q^{2} t^{6} + q^{3} t^{4} + q^{2} t^{5} - 5 \, q t^{6} - t^{7}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 6], [1, 5], [2, 5], [3, 4], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 2 \, q^{16} t - q^{15} t^{2} + 6 \, q^{15} t - 8 \, q^{14} t^{2} - 4 \, q^{13} t^{3} - 30 \, q^{14} t - 2 \, q^{13} t^{2} + 12 \, q^{12} t^{3} + 14 \, q^{11} t^{4} + 12 \, q^{13} t + 14 \, q^{12} t^{2} + 60 \, q^{11} t^{3} - 40 \, q^{10} t^{4} - 2 \, q^{9} t^{5} + 8 \, q^{12} t + 78 \, q^{11} t^{2} - 120 \, q^{10} t^{3} - 7 \, q^{9} t^{4} - 14 \, q^{8} t^{5} - q^{7} t^{6} - 6 \, q^{11} t - 76 \, q^{10} t^{2} - 16 \, q^{9} t^{3} + 16 \, q^{8} t^{4} + 76 \, q^{7} t^{5} + 6 \, q^{6} t^{6} + q^{10} t + 14 \, q^{9} t^{2} + 7 \, q^{8} t^{3} + 120 \, q^{7} t^{4} - 78 \, q^{6} t^{5} - 8 \, q^{5} t^{6} + 2 \, q^{8} t^{2} + 40 \, q^{7} t^{3} - 60 \, q^{6} t^{4} - 14 \, q^{5} t^{5} - 12 \, q^{4} t^{6} - 14 \, q^{6} t^{3} - 12 \, q^{5} t^{4} + 2 \, q^{4} t^{5} + 30 \, q^{3} t^{6} + 4 \, q^{4} t^{4} + 8 \, q^{3} t^{5} - 6 \, q^{2} t^{6} + q^{2} t^{5} - 2 \, q t^{6} - t^{7}}{{\left(q^{2} - t\right)}^{4} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 6], [1, 5], [2, 5], [2, 6], [3, 4], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + q^{15} t + 10 \, q^{14} t - 4 \, q^{13} t^{2} - 32 \, q^{13} t + 2 \, q^{12} t^{2} - 14 \, q^{11} t^{3} + 12 \, q^{12} t - 32 \, q^{11} t^{2} + 60 \, q^{10} t^{3} + 4 \, q^{9} t^{4} + 8 \, q^{11} t + 112 \, q^{10} t^{2} - 52 \, q^{9} t^{3} + 5 \, q^{8} t^{4} + q^{7} t^{5} - 6 \, q^{10} t - 72 \, q^{9} t^{2} - 8 \, q^{8} t^{3} - 72 \, q^{7} t^{4} - 6 \, q^{6} t^{5} + q^{9} t + 5 \, q^{8} t^{2} - 52 \, q^{7} t^{3} + 112 \, q^{6} t^{4} + 8 \, q^{5} t^{5} + 4 \, q^{7} t^{2} + 60 \, q^{6} t^{3} - 32 \, q^{5} t^{4} + 12 \, q^{4} t^{5} - 14 \, q^{5} t^{3} + 2 \, q^{4} t^{4} - 32 \, q^{3} t^{5} - 4 \, q^{3} t^{4} + 10 \, q^{2} t^{5} + q t^{5} + t^{6}}{{\left(q^{2} - t\right)}^{4} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 6], [1, 5], [1, 6], [2, 5], [2, 6], [3, 4], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{21} t + q^{21} - 2 \, q^{20} t - 3 \, q^{19} t^{2} + 9 \, q^{19} t - 9 \, q^{17} t^{3} - 22 \, q^{18} t + 9 \, q^{17} t^{2} + 32 \, q^{16} t^{3} - q^{15} t^{4} + 6 \, q^{17} t - 14 \, q^{16} t^{2} - 17 \, q^{15} t^{3} + 6 \, q^{14} t^{4} - 8 \, q^{15} t^{2} - 12 \, q^{14} t^{3} + 8 \, q^{13} t^{4} + 2 \, q^{15} t + 95 \, q^{14} t^{2} - 7 \, q^{13} t^{3} - 74 \, q^{12} t^{4} + 2 \, q^{11} t^{5} - q^{14} t - 65 \, q^{13} t^{2} + 3 \, q^{12} t^{3} + 79 \, q^{11} t^{4} - 10 \, q^{10} t^{5} - q^{12} t^{2} - 7 \, q^{11} t^{3} + 7 \, q^{10} t^{4} + q^{9} t^{5} + 10 \, q^{11} t^{2} - 79 \, q^{10} t^{3} - 3 \, q^{9} t^{4} + 65 \, q^{8} t^{5} + q^{7} t^{6} - 2 \, q^{10} t^{2} + 74 \, q^{9} t^{3} + 7 \, q^{8} t^{4} - 95 \, q^{7} t^{5} - 2 \, q^{6} t^{6} - 8 \, q^{8} t^{3} + 12 \, q^{7} t^{4} + 8 \, q^{6} t^{5} - 6 \, q^{7} t^{3} + 17 \, q^{6} t^{4} + 14 \, q^{5} t^{5} - 6 \, q^{4} t^{6} + q^{6} t^{3} - 32 \, q^{5} t^{4} - 9 \, q^{4} t^{5} + 22 \, q^{3} t^{6} + 9 \, q^{4} t^{4} - 9 \, q^{2} t^{6} + 3 \, q^{2} t^{5} + 2 \, q t^{6} - t^{7} - t^{6}}{{\left(q^{4} - t\right)}^{2} {\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[1, 5], [1, 6], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{13} t + q^{13} - 2 \, q^{12} t - 3 \, q^{11} t^{2} + 9 \, q^{11} t - 9 \, q^{9} t^{3} - 22 \, q^{10} t + 11 \, q^{9} t^{2} + 32 \, q^{8} t^{3} - q^{7} t^{4} + 4 \, q^{9} t - 16 \, q^{8} t^{2} - 23 \, q^{7} t^{3} + 6 \, q^{6} t^{4} + 10 \, q^{8} t + 18 \, q^{7} t^{2} - 18 \, q^{6} t^{3} - 10 \, q^{5} t^{4} - 6 \, q^{7} t + 23 \, q^{6} t^{2} + 16 \, q^{5} t^{3} - 4 \, q^{4} t^{4} + q^{6} t - 32 \, q^{5} t^{2} - 11 \, q^{4} t^{3} + 22 \, q^{3} t^{4} + 9 \, q^{4} t^{2} - 9 \, q^{2} t^{4} + 3 \, q^{2} t^{3} + 2 \, q t^{4} - t^{5} - t^{4}}{{\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[1, 5], [1, 6], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + 2 \, q^{17} t - q^{16} t^{2} + 3 \, q^{16} t - 6 \, q^{15} t^{2} - 3 \, q^{14} t^{3} - 19 \, q^{15} t + q^{14} t^{2} + 11 \, q^{13} t^{3} + 7 \, q^{12} t^{4} + q^{13} t^{2} + 23 \, q^{12} t^{3} - 17 \, q^{11} t^{4} + q^{10} t^{5} + 12 \, q^{13} t + 56 \, q^{12} t^{2} - 17 \, q^{11} t^{3} - 8 \, q^{10} t^{4} - 13 \, q^{9} t^{5} - 6 \, q^{12} t - 12 \, q^{11} t^{2} - 88 \, q^{10} t^{3} - 21 \, q^{9} t^{4} + 30 \, q^{8} t^{5} - q^{7} t^{6} + q^{11} t - 30 \, q^{10} t^{2} + 21 \, q^{9} t^{3} + 88 \, q^{8} t^{4} + 12 \, q^{7} t^{5} + 6 \, q^{6} t^{6} + 13 \, q^{9} t^{2} + 8 \, q^{8} t^{3} + 17 \, q^{7} t^{4} - 56 \, q^{6} t^{5} - 12 \, q^{5} t^{6} - q^{8} t^{2} + 17 \, q^{7} t^{3} - 23 \, q^{6} t^{4} - q^{5} t^{5} - 7 \, q^{6} t^{3} - 11 \, q^{5} t^{4} - q^{4} t^{5} + 19 \, q^{3} t^{6} + 3 \, q^{4} t^{4} + 6 \, q^{3} t^{5} - 3 \, q^{2} t^{6} + q^{2} t^{5} - 2 \, q t^{6} - t^{7}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 6], [1, 5], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + 2 \, q^{14} t - q^{13} t^{2} + 3 \, q^{13} t - 6 \, q^{12} t^{2} - 3 \, q^{11} t^{3} - 20 \, q^{12} t + 3 \, q^{11} t^{2} + 10 \, q^{10} t^{3} + 7 \, q^{9} t^{4} + 4 \, q^{11} t + 14 \, q^{10} t^{2} + 17 \, q^{9} t^{3} - 20 \, q^{8} t^{4} + q^{7} t^{5} + 10 \, q^{10} t + 16 \, q^{9} t^{2} - 34 \, q^{8} t^{3} + 2 \, q^{7} t^{4} - 6 \, q^{6} t^{5} - 6 \, q^{9} t + 2 \, q^{8} t^{2} - 34 \, q^{7} t^{3} + 16 \, q^{6} t^{4} + 10 \, q^{5} t^{5} + q^{8} t - 20 \, q^{7} t^{2} + 17 \, q^{6} t^{3} + 14 \, q^{5} t^{4} + 4 \, q^{4} t^{5} + 7 \, q^{6} t^{2} + 10 \, q^{5} t^{3} + 3 \, q^{4} t^{4} - 20 \, q^{3} t^{5} - 3 \, q^{4} t^{3} - 6 \, q^{3} t^{4} + 3 \, q^{2} t^{5} - q^{2} t^{4} + 2 \, q t^{5} + t^{6}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 6], [1, 5], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + q^{15} t + 8 \, q^{14} t - 4 \, q^{13} t^{2} - 24 \, q^{13} t - 12 \, q^{11} t^{3} + 2 \, q^{12} t - 26 \, q^{11} t^{2} + 54 \, q^{10} t^{3} + 6 \, q^{9} t^{4} + 12 \, q^{11} t + 96 \, q^{10} t^{2} - 34 \, q^{9} t^{3} - 9 \, q^{8} t^{4} + q^{7} t^{5} - 6 \, q^{10} t - 48 \, q^{9} t^{2} - 36 \, q^{8} t^{3} - 48 \, q^{7} t^{4} - 6 \, q^{6} t^{5} + q^{9} t - 9 \, q^{8} t^{2} - 34 \, q^{7} t^{3} + 96 \, q^{6} t^{4} + 12 \, q^{5} t^{5} + 6 \, q^{7} t^{2} + 54 \, q^{6} t^{3} - 26 \, q^{5} t^{4} + 2 \, q^{4} t^{5} - 12 \, q^{5} t^{3} - 24 \, q^{3} t^{5} - 4 \, q^{3} t^{4} + 8 \, q^{2} t^{5} + q t^{5} + t^{6}}{{\left(q^{2} - t\right)}^{4} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 6], [1, 5], [1, 6], [2, 5], [2, 6], [3, 4], [3, 5], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + q^{15} t + 8 \, q^{14} t - 4 \, q^{13} t^{2} - 26 \, q^{13} t - 12 \, q^{11} t^{3} + 6 \, q^{12} t - 18 \, q^{11} t^{2} + 54 \, q^{10} t^{3} + 6 \, q^{9} t^{4} + 10 \, q^{11} t + 80 \, q^{10} t^{2} - 46 \, q^{9} t^{3} - 9 \, q^{8} t^{4} + q^{7} t^{5} - 6 \, q^{10} t - 40 \, q^{9} t^{2} - 12 \, q^{8} t^{3} - 40 \, q^{7} t^{4} - 6 \, q^{6} t^{5} + q^{9} t - 9 \, q^{8} t^{2} - 46 \, q^{7} t^{3} + 80 \, q^{6} t^{4} + 10 \, q^{5} t^{5} + 6 \, q^{7} t^{2} + 54 \, q^{6} t^{3} - 18 \, q^{5} t^{4} + 6 \, q^{4} t^{5} - 12 \, q^{5} t^{3} - 26 \, q^{3} t^{5} - 4 \, q^{3} t^{4} + 8 \, q^{2} t^{5} + q t^{5} + t^{6}}{{\left(q^{2} - t\right)}^{4} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 6], [1, 5], [1, 6], [2, 5], [2, 6], [3, 4], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + q^{17} t + 7 \, q^{16} t - 3 \, q^{15} t^{2} - 22 \, q^{15} t + 3 \, q^{14} t^{2} - 9 \, q^{13} t^{3} + 5 \, q^{14} t - 11 \, q^{13} t^{2} + 31 \, q^{12} t^{3} - q^{11} t^{4} + 6 \, q^{13} t + 9 \, q^{12} t^{2} - 15 \, q^{11} t^{3} + 6 \, q^{10} t^{4} - 4 \, q^{12} t + 56 \, q^{11} t^{2} - 15 \, q^{10} t^{3} - q^{9} t^{4} + q^{11} t - 43 \, q^{10} t^{2} - 4 \, q^{9} t^{3} - 43 \, q^{8} t^{4} + q^{7} t^{5} - q^{9} t^{2} - 15 \, q^{8} t^{3} + 56 \, q^{7} t^{4} - 4 \, q^{6} t^{5} + 6 \, q^{8} t^{2} - 15 \, q^{7} t^{3} + 9 \, q^{6} t^{4} + 6 \, q^{5} t^{5} - q^{7} t^{2} + 31 \, q^{6} t^{3} - 11 \, q^{5} t^{4} + 5 \, q^{4} t^{5} - 9 \, q^{5} t^{3} + 3 \, q^{4} t^{4} - 22 \, q^{3} t^{5} - 3 \, q^{3} t^{4} + 7 \, q^{2} t^{5} + q t^{5} + t^{6}}{{\left(q^{4} - t\right)} {\left(q^{2} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 6], [1, 5], [1, 6], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + q^{13} t + 7 \, q^{12} t - 3 \, q^{11} t^{2} - 22 \, q^{11} t + 3 \, q^{10} t^{2} - 9 \, q^{9} t^{3} + 4 \, q^{10} t - 10 \, q^{9} t^{2} + 31 \, q^{8} t^{3} - q^{7} t^{4} + 10 \, q^{9} t + 24 \, q^{8} t^{2} - 18 \, q^{7} t^{3} + 6 \, q^{6} t^{4} - 6 \, q^{8} t + 18 \, q^{7} t^{2} - 24 \, q^{6} t^{3} - 10 \, q^{5} t^{4} + q^{7} t - 31 \, q^{6} t^{2} + 10 \, q^{5} t^{3} - 4 \, q^{4} t^{4} + 9 \, q^{5} t^{2} - 3 \, q^{4} t^{3} + 22 \, q^{3} t^{4} + 3 \, q^{3} t^{3} - 7 \, q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 6], [1, 5], [1, 6], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{19} + 12 \, q^{17} t - 28 \, q^{16} t + 8 \, q^{15} t^{2} + 7 \, q^{15} t - 58 \, q^{14} t^{2} - 8 \, q^{13} t^{3} + 6 \, q^{14} t + 80 \, q^{13} t^{2} + 20 \, q^{12} t^{3} - q^{11} t^{4} - 4 \, q^{13} t + 12 \, q^{12} t^{2} + 24 \, q^{11} t^{3} + 6 \, q^{10} t^{4} + q^{12} t - 28 \, q^{11} t^{2} - 46 \, q^{10} t^{3} - 4 \, q^{9} t^{4} - 4 \, q^{10} t^{2} - 46 \, q^{9} t^{3} - 28 \, q^{8} t^{4} + q^{7} t^{5} + 6 \, q^{9} t^{2} + 24 \, q^{8} t^{3} + 12 \, q^{7} t^{4} - 4 \, q^{6} t^{5} - q^{8} t^{2} + 20 \, q^{7} t^{3} + 80 \, q^{6} t^{4} + 6 \, q^{5} t^{5} - 8 \, q^{6} t^{3} - 58 \, q^{5} t^{4} + 7 \, q^{4} t^{5} + 8 \, q^{4} t^{4} - 28 \, q^{3} t^{5} + 12 \, q^{2} t^{5} + t^{6}}{{\left(q^{4} - t\right)} {\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 5], [0, 6], [1, 5], [1, 6], [2, 5], [2, 6], [3, 4], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + 12 \, q^{13} t - 28 \, q^{12} t + 8 \, q^{11} t^{2} + 6 \, q^{11} t - 58 \, q^{10} t^{2} - 8 \, q^{9} t^{3} + 10 \, q^{10} t + 98 \, q^{9} t^{2} + 20 \, q^{8} t^{3} - q^{7} t^{4} - 6 \, q^{9} t - 26 \, q^{8} t^{2} + 26 \, q^{7} t^{3} + 6 \, q^{6} t^{4} + q^{8} t - 20 \, q^{7} t^{2} - 98 \, q^{6} t^{3} - 10 \, q^{5} t^{4} + 8 \, q^{6} t^{2} + 58 \, q^{5} t^{3} - 6 \, q^{4} t^{4} - 8 \, q^{4} t^{3} + 28 \, q^{3} t^{4} - 12 \, q^{2} t^{4} - t^{5}}{{\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 5], [0, 6], [1, 5], [1, 6], [2, 5], [2, 6], [3, 4], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + 11 \, q^{16} t - 24 \, q^{15} t + 11 \, q^{14} t^{2} + 4 \, q^{14} t - 42 \, q^{13} t^{2} + q^{12} t^{3} + 11 \, q^{13} t + 34 \, q^{12} t^{2} - 6 \, q^{11} t^{3} - 10 \, q^{12} t + 17 \, q^{11} t^{2} + 10 \, q^{10} t^{3} + 3 \, q^{11} t - 6 \, q^{10} t^{2} - q^{9} t^{3} + q^{9} t^{2} + 6 \, q^{8} t^{3} - 3 \, q^{7} t^{4} - 10 \, q^{8} t^{2} - 17 \, q^{7} t^{3} + 10 \, q^{6} t^{4} + 6 \, q^{7} t^{2} - 34 \, q^{6} t^{3} - 11 \, q^{5} t^{4} - q^{6} t^{2} + 42 \, q^{5} t^{3} - 4 \, q^{4} t^{4} - 11 \, q^{4} t^{3} + 24 \, q^{3} t^{4} - 11 \, q^{2} t^{4} - t^{5}}{{\left(q^{5} - t\right)} {\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 5], [0, 6], [1, 5], [1, 6], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{13} + 11 \, q^{11} t - 24 \, q^{10} t + 11 \, q^{9} t^{2} + 4 \, q^{9} t - 42 \, q^{8} t^{2} + q^{7} t^{3} + 10 \, q^{8} t + 34 \, q^{7} t^{2} - 6 \, q^{6} t^{3} - 6 \, q^{7} t + 34 \, q^{6} t^{2} + 10 \, q^{5} t^{3} + q^{6} t - 42 \, q^{5} t^{2} + 4 \, q^{4} t^{3} + 11 \, q^{4} t^{2} - 24 \, q^{3} t^{3} + 11 \, q^{2} t^{3} + t^{4}}{{\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 5], [0, 6], [1, 5], [1, 6], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{16} t - 3 \, q^{15} t^{2} - 3 \, q^{14} t^{3} + q^{13} t^{4} + q^{16} + 3 \, q^{15} t - 4 \, q^{14} t^{2} + 12 \, q^{13} t^{3} + 15 \, q^{12} t^{4} - 3 \, q^{11} t^{5} - 3 \, q^{14} t - 11 \, q^{13} t^{2} + 18 \, q^{12} t^{3} - 40 \, q^{11} t^{4} - 13 \, q^{10} t^{5} - 3 \, q^{9} t^{6} - 30 \, q^{13} t + 33 \, q^{12} t^{2} + 21 \, q^{11} t^{3} - 62 \, q^{10} t^{4} + 40 \, q^{9} t^{5} + 29 \, q^{8} t^{6} + q^{7} t^{7} + 26 \, q^{12} t + 44 \, q^{11} t^{2} - 105 \, q^{10} t^{3} + 103 \, q^{9} t^{4} + 51 \, q^{8} t^{5} - 59 \, q^{7} t^{6} - 4 \, q^{6} t^{7} - 2 \, q^{11} t + 2 \, q^{10} t^{2} - 74 \, q^{9} t^{3} + 36 \, q^{8} t^{4} - 74 \, q^{7} t^{5} + 2 \, q^{6} t^{6} - 2 \, q^{5} t^{7} - 4 \, q^{10} t - 59 \, q^{9} t^{2} + 51 \, q^{8} t^{3} + 103 \, q^{7} t^{4} - 105 \, q^{6} t^{5} + 44 \, q^{5} t^{6} + 26 \, q^{4} t^{7} + q^{9} t + 29 \, q^{8} t^{2} + 40 \, q^{7} t^{3} - 62 \, q^{6} t^{4} + 21 \, q^{5} t^{5} + 33 \, q^{4} t^{6} - 30 \, q^{3} t^{7} - 3 \, q^{7} t^{2} - 13 \, q^{6} t^{3} - 40 \, q^{5} t^{4} + 18 \, q^{4} t^{5} - 11 \, q^{3} t^{6} - 3 \, q^{2} t^{7} - 3 \, q^{5} t^{3} + 15 \, q^{4} t^{4} + 12 \, q^{3} t^{5} - 4 \, q^{2} t^{6} + 3 \, q t^{7} + t^{8} + q^{3} t^{4} - 3 \, q^{2} t^{5} - 3 \, q t^{6} + t^{7}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[1, 6], [2, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + 5 \, q^{15} t - q^{14} t^{2} - q^{13} t^{3} + q^{14} t - 15 \, q^{13} t^{2} - 13 \, q^{12} t^{3} + 7 \, q^{11} t^{4} - 36 \, q^{13} t - q^{12} t^{2} + 69 \, q^{11} t^{3} - 3 \, q^{10} t^{4} + 3 \, q^{9} t^{5} + 28 \, q^{12} t + 52 \, q^{11} t^{2} - 5 \, q^{10} t^{3} - 39 \, q^{9} t^{4} - 35 \, q^{8} t^{5} - q^{7} t^{6} - 2 \, q^{11} t + 44 \, q^{10} t^{2} - 156 \, q^{9} t^{3} - 36 \, q^{8} t^{4} + 90 \, q^{7} t^{5} + 4 \, q^{6} t^{6} - 4 \, q^{10} t - 90 \, q^{9} t^{2} + 36 \, q^{8} t^{3} + 156 \, q^{7} t^{4} - 44 \, q^{6} t^{5} + 2 \, q^{5} t^{6} + q^{9} t + 35 \, q^{8} t^{2} + 39 \, q^{7} t^{3} + 5 \, q^{6} t^{4} - 52 \, q^{5} t^{5} - 28 \, q^{4} t^{6} - 3 \, q^{7} t^{2} + 3 \, q^{6} t^{3} - 69 \, q^{5} t^{4} + q^{4} t^{5} + 36 \, q^{3} t^{6} - 7 \, q^{5} t^{3} + 13 \, q^{4} t^{4} + 15 \, q^{3} t^{5} - q^{2} t^{6} + q^{3} t^{4} + q^{2} t^{5} - 5 \, q t^{6} - t^{7}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 6], [1, 6], [2, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{17} t - 2 \, q^{16} t^{2} - q^{15} t^{3} + q^{17} - 3 \, q^{15} t^{2} + 4 \, q^{14} t^{3} + 4 \, q^{13} t^{4} + 6 \, q^{15} t - 12 \, q^{14} t^{2} + 18 \, q^{13} t^{3} + 12 \, q^{12} t^{4} - 10 \, q^{11} t^{5} - 34 \, q^{14} t + 24 \, q^{13} t^{2} + 10 \, q^{12} t^{3} - 100 \, q^{11} t^{4} + 10 \, q^{10} t^{5} + 18 \, q^{13} t + 28 \, q^{12} t^{2} - 10 \, q^{11} t^{3} + 58 \, q^{10} t^{4} + 37 \, q^{9} t^{5} + 24 \, q^{8} t^{6} + q^{7} t^{7} + 6 \, q^{12} t + 48 \, q^{11} t^{2} - 160 \, q^{10} t^{3} + 61 \, q^{9} t^{4} + 46 \, q^{8} t^{5} - 79 \, q^{7} t^{6} - 6 \, q^{6} t^{7} - 6 \, q^{11} t - 79 \, q^{10} t^{2} + 46 \, q^{9} t^{3} + 61 \, q^{8} t^{4} - 160 \, q^{7} t^{5} + 48 \, q^{6} t^{6} + 6 \, q^{5} t^{7} + q^{10} t + 24 \, q^{9} t^{2} + 37 \, q^{8} t^{3} + 58 \, q^{7} t^{4} - 10 \, q^{6} t^{5} + 28 \, q^{5} t^{6} + 18 \, q^{4} t^{7} + 10 \, q^{7} t^{3} - 100 \, q^{6} t^{4} + 10 \, q^{5} t^{5} + 24 \, q^{4} t^{6} - 34 \, q^{3} t^{7} - 10 \, q^{6} t^{3} + 12 \, q^{5} t^{4} + 18 \, q^{4} t^{5} - 12 \, q^{3} t^{6} + 6 \, q^{2} t^{7} + 4 \, q^{4} t^{4} + 4 \, q^{3} t^{5} - 3 \, q^{2} t^{6} + t^{8} - q^{2} t^{5} - 2 \, q t^{6} + t^{7}}{{\left(q^{2} - t\right)}^{4} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[1, 6], [2, 4], [2, 5], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + 4 \, q^{14} t + q^{13} t^{2} + 5 \, q^{13} t - 4 \, q^{12} t^{2} - 7 \, q^{11} t^{3} - 34 \, q^{12} t - 35 \, q^{11} t^{2} + 8 \, q^{10} t^{3} + q^{9} t^{4} + 18 \, q^{11} t + 60 \, q^{10} t^{2} + 59 \, q^{9} t^{3} + 18 \, q^{8} t^{4} + q^{7} t^{5} + 6 \, q^{10} t + 46 \, q^{9} t^{2} - 70 \, q^{8} t^{3} - 72 \, q^{7} t^{4} - 6 \, q^{6} t^{5} - 6 \, q^{9} t - 72 \, q^{8} t^{2} - 70 \, q^{7} t^{3} + 46 \, q^{6} t^{4} + 6 \, q^{5} t^{5} + q^{8} t + 18 \, q^{7} t^{2} + 59 \, q^{6} t^{3} + 60 \, q^{5} t^{4} + 18 \, q^{4} t^{5} + q^{6} t^{2} + 8 \, q^{5} t^{3} - 35 \, q^{4} t^{4} - 34 \, q^{3} t^{5} - 7 \, q^{4} t^{3} - 4 \, q^{3} t^{4} + 5 \, q^{2} t^{5} + q^{2} t^{4} + 4 \, q t^{5} + t^{6}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 6], [1, 5], [2, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} t^{2} + 4 \, q^{16} t - 4 \, q^{15} t^{2} + q^{16} - 8 \, q^{15} t + 4 \, q^{14} t^{2} - 3 \, q^{13} t^{3} + 2 \, q^{14} t - 4 \, q^{13} t^{2} + 12 \, q^{12} t^{3} + 13 \, q^{13} t - 24 \, q^{12} t^{2} - 8 \, q^{11} t^{3} + 7 \, q^{10} t^{4} - 48 \, q^{12} t + 80 \, q^{11} t^{2} - 36 \, q^{10} t^{3} - 20 \, q^{9} t^{4} + 48 \, q^{11} t - 65 \, q^{10} t^{2} + 155 \, q^{9} t^{3} + 4 \, q^{8} t^{4} + 3 \, q^{7} t^{5} - 20 \, q^{10} t + 36 \, q^{9} t^{2} - 260 \, q^{8} t^{3} + 36 \, q^{7} t^{4} - 20 \, q^{6} t^{5} + 3 \, q^{9} t + 4 \, q^{8} t^{2} + 155 \, q^{7} t^{3} - 65 \, q^{6} t^{4} + 48 \, q^{5} t^{5} - 20 \, q^{7} t^{2} - 36 \, q^{6} t^{3} + 80 \, q^{5} t^{4} - 48 \, q^{4} t^{5} + 7 \, q^{6} t^{2} - 8 \, q^{5} t^{3} - 24 \, q^{4} t^{4} + 13 \, q^{3} t^{5} + 12 \, q^{4} t^{3} - 4 \, q^{3} t^{4} + 2 \, q^{2} t^{5} - 3 \, q^{3} t^{3} + 4 \, q^{2} t^{4} - 8 \, q t^{5} + t^{6} - 4 \, q t^{4} + 4 \, t^{5} + t^{4}}{{\left(q^{3} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{4}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{24} t - 2 \, q^{23} t^{2} - q^{22} t^{3} + q^{24} - 2 \, q^{22} t^{2} + 4 \, q^{21} t^{3} + 3 \, q^{20} t^{4} + 3 \, q^{22} t - 11 \, q^{21} t^{2} + 14 \, q^{20} t^{3} + 7 \, q^{19} t^{4} - 5 \, q^{18} t^{5} - 19 \, q^{21} t + 15 \, q^{20} t^{2} + 24 \, q^{19} t^{3} - 48 \, q^{18} t^{4} - q^{17} t^{5} - q^{16} t^{6} - 14 \, q^{20} t - q^{19} t^{2} - 2 \, q^{18} t^{3} - 60 \, q^{17} t^{4} - 16 \, q^{16} t^{5} + 21 \, q^{15} t^{6} + 34 \, q^{19} t + 149 \, q^{18} t^{2} - 99 \, q^{17} t^{3} + 66 \, q^{16} t^{4} + 170 \, q^{15} t^{5} - 13 \, q^{14} t^{6} + 3 \, q^{13} t^{7} - 18 \, q^{18} t - 119 \, q^{17} t^{2} - 119 \, q^{16} t^{3} + 55 \, q^{15} t^{4} + 4 \, q^{14} t^{5} - 28 \, q^{13} t^{6} - 39 \, q^{12} t^{7} + 3 \, q^{17} t + 4 \, q^{16} t^{2} - 37 \, q^{15} t^{3} + 171 \, q^{14} t^{4} - 259 \, q^{13} t^{5} - 216 \, q^{12} t^{6} + 49 \, q^{11} t^{7} - q^{10} t^{8} + 13 \, q^{15} t^{2} + 83 \, q^{14} t^{3} + 253 \, q^{13} t^{4} - 38 \, q^{12} t^{5} + 253 \, q^{11} t^{6} + 83 \, q^{10} t^{7} + 13 \, q^{9} t^{8} - q^{14} t^{2} + 49 \, q^{13} t^{3} - 216 \, q^{12} t^{4} - 259 \, q^{11} t^{5} + 171 \, q^{10} t^{6} - 37 \, q^{9} t^{7} + 4 \, q^{8} t^{8} + 3 \, q^{7} t^{9} - 39 \, q^{12} t^{3} - 28 \, q^{11} t^{4} + 4 \, q^{10} t^{5} + 55 \, q^{9} t^{6} - 119 \, q^{8} t^{7} - 119 \, q^{7} t^{8} - 18 \, q^{6} t^{9} + 3 \, q^{11} t^{3} - 13 \, q^{10} t^{4} + 170 \, q^{9} t^{5} + 66 \, q^{8} t^{6} - 99 \, q^{7} t^{7} + 149 \, q^{6} t^{8} + 34 \, q^{5} t^{9} + 21 \, q^{9} t^{4} - 16 \, q^{8} t^{5} - 60 \, q^{7} t^{6} - 2 \, q^{6} t^{7} - q^{5} t^{8} - 14 \, q^{4} t^{9} - q^{8} t^{4} - q^{7} t^{5} - 48 \, q^{6} t^{6} + 24 \, q^{5} t^{7} + 15 \, q^{4} t^{8} - 19 \, q^{3} t^{9} - 5 \, q^{6} t^{5} + 7 \, q^{5} t^{6} + 14 \, q^{4} t^{7} - 11 \, q^{3} t^{8} + 3 \, q^{2} t^{9} + 3 \, q^{4} t^{6} + 4 \, q^{3} t^{7} - 2 \, q^{2} t^{8} + t^{10} - q^{2} t^{7} - 2 \, q t^{8} + t^{9}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[1, 6], [2, 4], [2, 5], [3, 4], [3, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{22} t - 2 \, q^{21} t^{2} - q^{20} t^{3} + q^{22} - q^{20} t^{2} + 6 \, q^{19} t^{3} + 2 \, q^{18} t^{4} - 4 \, q^{20} t - 3 \, q^{19} t^{2} + q^{18} t^{3} - 3 \, q^{17} t^{4} - q^{16} t^{5} + 5 \, q^{19} t - 3 \, q^{18} t^{2} + 29 \, q^{17} t^{3} - 5 \, q^{16} t^{4} - 6 \, q^{15} t^{5} - 40 \, q^{18} t + 32 \, q^{17} t^{2} - 47 \, q^{16} t^{3} - 51 \, q^{15} t^{4} + 15 \, q^{14} t^{5} + 3 \, q^{13} t^{6} + 46 \, q^{17} t + 49 \, q^{16} t^{2} + 11 \, q^{15} t^{3} + 31 \, q^{14} t^{4} + q^{13} t^{5} + 8 \, q^{12} t^{6} - 20 \, q^{16} t - 29 \, q^{15} t^{2} - 118 \, q^{14} t^{3} + 78 \, q^{13} t^{4} + 123 \, q^{12} t^{5} - 27 \, q^{11} t^{6} - 3 \, q^{10} t^{7} + 3 \, q^{15} t - 10 \, q^{14} t^{2} - 16 \, q^{13} t^{3} - 3 \, q^{12} t^{4} - 209 \, q^{11} t^{5} - 35 \, q^{10} t^{6} + 35 \, q^{12} t^{3} + 209 \, q^{11} t^{4} + 3 \, q^{10} t^{5} + 16 \, q^{9} t^{6} + 10 \, q^{8} t^{7} - 3 \, q^{7} t^{8} + 3 \, q^{12} t^{2} + 27 \, q^{11} t^{3} - 123 \, q^{10} t^{4} - 78 \, q^{9} t^{5} + 118 \, q^{8} t^{6} + 29 \, q^{7} t^{7} + 20 \, q^{6} t^{8} - 8 \, q^{10} t^{3} - q^{9} t^{4} - 31 \, q^{8} t^{5} - 11 \, q^{7} t^{6} - 49 \, q^{6} t^{7} - 46 \, q^{5} t^{8} - 3 \, q^{9} t^{3} - 15 \, q^{8} t^{4} + 51 \, q^{7} t^{5} + 47 \, q^{6} t^{6} - 32 \, q^{5} t^{7} + 40 \, q^{4} t^{8} + 6 \, q^{7} t^{4} + 5 \, q^{6} t^{5} - 29 \, q^{5} t^{6} + 3 \, q^{4} t^{7} - 5 \, q^{3} t^{8} + q^{6} t^{4} + 3 \, q^{5} t^{5} - q^{4} t^{6} + 3 \, q^{3} t^{7} + 4 \, q^{2} t^{8} - 2 \, q^{4} t^{5} - 6 \, q^{3} t^{6} + q^{2} t^{7} - t^{9} + q^{2} t^{6} + 2 \, q t^{7} - t^{8}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[1, 6], [2, 4], [2, 5], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{18} t - 2 \, q^{17} t^{2} - q^{16} t^{3} + q^{18} + q^{16} t^{2} + 4 \, q^{15} t^{3} - 6 \, q^{16} t + q^{15} t^{2} - 6 \, q^{14} t^{3} + 3 \, q^{13} t^{4} + 15 \, q^{15} t - 16 \, q^{14} t^{2} + 37 \, q^{13} t^{3} - 12 \, q^{12} t^{4} - 48 \, q^{14} t + 46 \, q^{13} t^{2} - 75 \, q^{12} t^{3} + 34 \, q^{11} t^{4} - 7 \, q^{10} t^{5} + 48 \, q^{13} t - 11 \, q^{12} t^{2} + 54 \, q^{11} t^{3} - 105 \, q^{10} t^{4} + 20 \, q^{9} t^{5} - 20 \, q^{12} t + 5 \, q^{11} t^{2} - 2 \, q^{10} t^{3} + 126 \, q^{9} t^{4} - 10 \, q^{8} t^{5} - 3 \, q^{7} t^{6} + 3 \, q^{11} t + 10 \, q^{10} t^{2} - 126 \, q^{9} t^{3} + 2 \, q^{8} t^{4} - 5 \, q^{7} t^{5} + 20 \, q^{6} t^{6} - 20 \, q^{9} t^{2} + 105 \, q^{8} t^{3} - 54 \, q^{7} t^{4} + 11 \, q^{6} t^{5} - 48 \, q^{5} t^{6} + 7 \, q^{8} t^{2} - 34 \, q^{7} t^{3} + 75 \, q^{6} t^{4} - 46 \, q^{5} t^{5} + 48 \, q^{4} t^{6} + 12 \, q^{6} t^{3} - 37 \, q^{5} t^{4} + 16 \, q^{4} t^{5} - 15 \, q^{3} t^{6} - 3 \, q^{5} t^{3} + 6 \, q^{4} t^{4} - q^{3} t^{5} + 6 \, q^{2} t^{6} - 4 \, q^{3} t^{4} - q^{2} t^{5} - t^{7} + q^{2} t^{4} + 2 \, q t^{5} - t^{6}}{{\left(q^{3} - t\right)}^{3} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{16} t - 2 \, q^{15} t^{2} - q^{14} t^{3} + q^{16} + 2 \, q^{15} t - 3 \, q^{14} t^{2} + 8 \, q^{13} t^{3} + 2 \, q^{12} t^{4} - 2 \, q^{14} t - 9 \, q^{13} t^{2} - 9 \, q^{12} t^{3} - q^{11} t^{4} - 5 \, q^{10} t^{5} - 7 \, q^{13} t + 13 \, q^{12} t^{2} + 43 \, q^{11} t^{3} + 7 \, q^{10} t^{4} + 10 \, q^{9} t^{5} - 26 \, q^{12} t + 36 \, q^{11} t^{2} - 62 \, q^{10} t^{3} - 97 \, q^{9} t^{4} - 4 \, q^{8} t^{5} - 3 \, q^{7} t^{6} + 42 \, q^{11} t + 2 \, q^{10} t^{2} + 35 \, q^{9} t^{3} + 138 \, q^{8} t^{4} + 15 \, q^{7} t^{5} + 20 \, q^{6} t^{6} - 20 \, q^{10} t - 15 \, q^{9} t^{2} - 138 \, q^{8} t^{3} - 35 \, q^{7} t^{4} - 2 \, q^{6} t^{5} - 42 \, q^{5} t^{6} + 3 \, q^{9} t + 4 \, q^{8} t^{2} + 97 \, q^{7} t^{3} + 62 \, q^{6} t^{4} - 36 \, q^{5} t^{5} + 26 \, q^{4} t^{6} - 10 \, q^{7} t^{2} - 7 \, q^{6} t^{3} - 43 \, q^{5} t^{4} - 13 \, q^{4} t^{5} + 7 \, q^{3} t^{6} + 5 \, q^{6} t^{2} + q^{5} t^{3} + 9 \, q^{4} t^{4} + 9 \, q^{3} t^{5} + 2 \, q^{2} t^{6} - 2 \, q^{4} t^{3} - 8 \, q^{3} t^{4} + 3 \, q^{2} t^{5} - 2 \, q t^{6} - t^{7} + q^{2} t^{4} + 2 \, q t^{5} - t^{6}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 6 edges: | [[0, 6], [1, 6], [2, 4], [2, 5], [3, 4], [3, 5]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{22} + 4 \, q^{21} t + q^{20} t^{2} - 4 \, q^{20} t - 6 \, q^{19} t^{2} - 2 \, q^{18} t^{3} + q^{19} t - 21 \, q^{18} t^{2} + 3 \, q^{17} t^{3} + 3 \, q^{16} t^{4} - 38 \, q^{18} t + 10 \, q^{17} t^{2} + 6 \, q^{16} t^{3} - 2 \, q^{15} t^{4} + 46 \, q^{17} t + 103 \, q^{16} t^{2} + 123 \, q^{15} t^{3} - 5 \, q^{14} t^{4} - 5 \, q^{13} t^{5} - 20 \, q^{16} t - 50 \, q^{15} t^{2} - 228 \, q^{14} t^{3} - 8 \, q^{13} t^{4} - 2 \, q^{12} t^{5} + 3 \, q^{15} t - 14 \, q^{14} t^{2} - 36 \, q^{13} t^{3} - 231 \, q^{12} t^{4} + 21 \, q^{11} t^{5} + 3 \, q^{10} t^{6} + 2 \, q^{13} t^{2} + 64 \, q^{12} t^{3} + 556 \, q^{11} t^{4} + 64 \, q^{10} t^{5} + 2 \, q^{9} t^{6} + 3 \, q^{12} t^{2} + 21 \, q^{11} t^{3} - 231 \, q^{10} t^{4} - 36 \, q^{9} t^{5} - 14 \, q^{8} t^{6} + 3 \, q^{7} t^{7} - 2 \, q^{10} t^{3} - 8 \, q^{9} t^{4} - 228 \, q^{8} t^{5} - 50 \, q^{7} t^{6} - 20 \, q^{6} t^{7} - 5 \, q^{9} t^{3} - 5 \, q^{8} t^{4} + 123 \, q^{7} t^{5} + 103 \, q^{6} t^{6} + 46 \, q^{5} t^{7} - 2 \, q^{7} t^{4} + 6 \, q^{6} t^{5} + 10 \, q^{5} t^{6} - 38 \, q^{4} t^{7} + 3 \, q^{6} t^{4} + 3 \, q^{5} t^{5} - 21 \, q^{4} t^{6} + q^{3} t^{7} - 2 \, q^{4} t^{5} - 6 \, q^{3} t^{6} - 4 \, q^{2} t^{7} + q^{2} t^{6} + 4 \, q t^{7} + t^{8}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 6], [1, 6], [2, 4], [2, 5], [3, 4], [3, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + 4 \, q^{19} t + q^{18} t^{2} - 7 \, q^{18} t - 6 \, q^{17} t^{2} - q^{16} t^{3} + 11 \, q^{17} t - 4 \, q^{16} t^{2} + q^{15} t^{3} - 46 \, q^{16} t - 17 \, q^{15} t^{2} + 2 \, q^{14} t^{3} + 5 \, q^{13} t^{4} + 48 \, q^{15} t + 87 \, q^{14} t^{2} + 38 \, q^{13} t^{3} - 11 \, q^{12} t^{4} - 20 \, q^{14} t - 34 \, q^{13} t^{2} - q^{12} t^{3} + 18 \, q^{11} t^{4} - 5 \, q^{10} t^{5} + 3 \, q^{13} t - 2 \, q^{12} t^{2} - 180 \, q^{11} t^{3} - 118 \, q^{10} t^{4} + 9 \, q^{9} t^{5} - 9 \, q^{11} t^{2} + 118 \, q^{10} t^{3} + 180 \, q^{9} t^{4} + 2 \, q^{8} t^{5} - 3 \, q^{7} t^{6} + 5 \, q^{10} t^{2} - 18 \, q^{9} t^{3} + q^{8} t^{4} + 34 \, q^{7} t^{5} + 20 \, q^{6} t^{6} + 11 \, q^{8} t^{3} - 38 \, q^{7} t^{4} - 87 \, q^{6} t^{5} - 48 \, q^{5} t^{6} - 5 \, q^{7} t^{3} - 2 \, q^{6} t^{4} + 17 \, q^{5} t^{5} + 46 \, q^{4} t^{6} - q^{5} t^{4} + 4 \, q^{4} t^{5} - 11 \, q^{3} t^{6} + q^{4} t^{4} + 6 \, q^{3} t^{5} + 7 \, q^{2} t^{6} - q^{2} t^{5} - 4 \, q t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 6], [1, 6], [2, 4], [2, 5], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + 4 \, q^{17} t + q^{16} t^{2} - 8 \, q^{16} t - 4 \, q^{15} t^{2} + 15 \, q^{15} t - 3 \, q^{13} t^{3} - 48 \, q^{14} t - 24 \, q^{13} t^{2} + 12 \, q^{12} t^{3} + 48 \, q^{13} t + 71 \, q^{12} t^{2} - 36 \, q^{11} t^{3} + 7 \, q^{10} t^{4} - 20 \, q^{12} t - 32 \, q^{11} t^{2} + 144 \, q^{10} t^{3} - 20 \, q^{9} t^{4} + 3 \, q^{11} t + 16 \, q^{10} t^{2} - 254 \, q^{9} t^{3} + 16 \, q^{8} t^{4} + 3 \, q^{7} t^{5} - 20 \, q^{9} t^{2} + 144 \, q^{8} t^{3} - 32 \, q^{7} t^{4} - 20 \, q^{6} t^{5} + 7 \, q^{8} t^{2} - 36 \, q^{7} t^{3} + 71 \, q^{6} t^{4} + 48 \, q^{5} t^{5} + 12 \, q^{6} t^{3} - 24 \, q^{5} t^{4} - 48 \, q^{4} t^{5} - 3 \, q^{5} t^{3} + 15 \, q^{3} t^{5} - 4 \, q^{3} t^{4} - 8 \, q^{2} t^{5} + q^{2} t^{4} + 4 \, q t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{3} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 6], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} t^{2} + 4 \, q^{16} t - 4 \, q^{15} t^{2} + q^{16} - 8 \, q^{15} t + 4 \, q^{14} t^{2} - 3 \, q^{13} t^{3} + 2 \, q^{14} t - 8 \, q^{13} t^{2} + 12 \, q^{12} t^{3} + 5 \, q^{13} t - 10 \, q^{11} t^{3} + 5 \, q^{10} t^{4} - 24 \, q^{12} t + 36 \, q^{11} t^{2} - 12 \, q^{10} t^{3} - 16 \, q^{9} t^{4} + 22 \, q^{11} t - 27 \, q^{10} t^{2} + 65 \, q^{9} t^{3} + 8 \, q^{8} t^{4} + q^{7} t^{5} - 8 \, q^{10} t + 16 \, q^{9} t^{2} - 124 \, q^{8} t^{3} + 16 \, q^{7} t^{4} - 8 \, q^{6} t^{5} + q^{9} t + 8 \, q^{8} t^{2} + 65 \, q^{7} t^{3} - 27 \, q^{6} t^{4} + 22 \, q^{5} t^{5} - 16 \, q^{7} t^{2} - 12 \, q^{6} t^{3} + 36 \, q^{5} t^{4} - 24 \, q^{4} t^{5} + 5 \, q^{6} t^{2} - 10 \, q^{5} t^{3} + 5 \, q^{3} t^{5} + 12 \, q^{4} t^{3} - 8 \, q^{3} t^{4} + 2 \, q^{2} t^{5} - 3 \, q^{3} t^{3} + 4 \, q^{2} t^{4} - 8 \, q t^{5} + t^{6} - 4 \, q t^{4} + 4 \, t^{5} + t^{4}}{{\left(q^{3} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{4}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{19} t - 2 \, q^{18} t^{2} - q^{17} t^{3} + q^{19} - q^{17} t^{2} + 6 \, q^{16} t^{3} + 2 \, q^{15} t^{4} - 4 \, q^{17} t - 2 \, q^{16} t^{2} + 3 \, q^{15} t^{3} - 4 \, q^{14} t^{4} - q^{13} t^{5} - 2 \, q^{16} t + 5 \, q^{15} t^{2} + 8 \, q^{14} t^{3} - 7 \, q^{13} t^{4} - 4 \, q^{12} t^{5} - 16 \, q^{15} t + 30 \, q^{14} t^{2} - 31 \, q^{13} t^{3} - 22 \, q^{12} t^{4} + 17 \, q^{11} t^{5} + 2 \, q^{10} t^{6} + 20 \, q^{14} t + 5 \, q^{13} t^{2} + 6 \, q^{12} t^{3} + 33 \, q^{11} t^{4} - 2 \, q^{10} t^{5} - 8 \, q^{13} t + 5 \, q^{12} t^{2} - 84 \, q^{11} t^{3} + 33 \, q^{10} t^{4} + 27 \, q^{9} t^{5} - 14 \, q^{8} t^{6} + q^{7} t^{7} + q^{12} t - 14 \, q^{11} t^{2} + 27 \, q^{10} t^{3} + 33 \, q^{9} t^{4} - 84 \, q^{8} t^{5} + 5 \, q^{7} t^{6} - 8 \, q^{6} t^{7} - 2 \, q^{9} t^{3} + 33 \, q^{8} t^{4} + 6 \, q^{7} t^{5} + 5 \, q^{6} t^{6} + 20 \, q^{5} t^{7} + 2 \, q^{9} t^{2} + 17 \, q^{8} t^{3} - 22 \, q^{7} t^{4} - 31 \, q^{6} t^{5} + 30 \, q^{5} t^{6} - 16 \, q^{4} t^{7} - 4 \, q^{7} t^{3} - 7 \, q^{6} t^{4} + 8 \, q^{5} t^{5} + 5 \, q^{4} t^{6} - 2 \, q^{3} t^{7} - q^{6} t^{3} - 4 \, q^{5} t^{4} + 3 \, q^{4} t^{5} - 2 \, q^{3} t^{6} - 4 \, q^{2} t^{7} + 2 \, q^{4} t^{4} + 6 \, q^{3} t^{5} - q^{2} t^{6} + t^{8} - q^{2} t^{5} - 2 \, q t^{6} + t^{7}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[1, 6], [2, 4], [2, 5], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{18} t - 2 \, q^{17} t^{2} - q^{16} t^{3} + q^{18} + q^{16} t^{2} + 4 \, q^{15} t^{3} - 6 \, q^{16} t + q^{15} t^{2} - 2 \, q^{14} t^{3} + 3 \, q^{13} t^{4} + 7 \, q^{15} t - 8 \, q^{14} t^{2} + 17 \, q^{13} t^{3} - 12 \, q^{12} t^{4} - 24 \, q^{14} t + 32 \, q^{13} t^{2} - 41 \, q^{12} t^{3} + 20 \, q^{11} t^{4} - 5 \, q^{10} t^{5} + 22 \, q^{13} t - 5 \, q^{12} t^{2} + 24 \, q^{11} t^{3} - 51 \, q^{10} t^{4} + 16 \, q^{9} t^{5} - 8 \, q^{12} t + 3 \, q^{11} t^{2} - 10 \, q^{10} t^{3} + 66 \, q^{9} t^{4} - 10 \, q^{8} t^{5} - q^{7} t^{6} + q^{11} t + 10 \, q^{10} t^{2} - 66 \, q^{9} t^{3} + 10 \, q^{8} t^{4} - 3 \, q^{7} t^{5} + 8 \, q^{6} t^{6} - 16 \, q^{9} t^{2} + 51 \, q^{8} t^{3} - 24 \, q^{7} t^{4} + 5 \, q^{6} t^{5} - 22 \, q^{5} t^{6} + 5 \, q^{8} t^{2} - 20 \, q^{7} t^{3} + 41 \, q^{6} t^{4} - 32 \, q^{5} t^{5} + 24 \, q^{4} t^{6} + 12 \, q^{6} t^{3} - 17 \, q^{5} t^{4} + 8 \, q^{4} t^{5} - 7 \, q^{3} t^{6} - 3 \, q^{5} t^{3} + 2 \, q^{4} t^{4} - q^{3} t^{5} + 6 \, q^{2} t^{6} - 4 \, q^{3} t^{4} - q^{2} t^{5} - t^{7} + q^{2} t^{4} + 2 \, q t^{5} - t^{6}}{{\left(q^{3} - t\right)}^{3} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + 4 \, q^{15} t + q^{14} t^{2} - 4 \, q^{14} t - 6 \, q^{13} t^{2} - 2 \, q^{12} t^{3} - 5 \, q^{13} t - 17 \, q^{12} t^{2} + 5 \, q^{11} t^{3} + 3 \, q^{10} t^{4} - 14 \, q^{12} t + 42 \, q^{11} t^{2} + 2 \, q^{10} t^{3} - 6 \, q^{9} t^{4} + 20 \, q^{11} t + 6 \, q^{10} t^{2} + 47 \, q^{9} t^{3} - 2 \, q^{8} t^{4} + q^{7} t^{5} - 8 \, q^{10} t - 6 \, q^{9} t^{2} - 124 \, q^{8} t^{3} - 6 \, q^{7} t^{4} - 8 \, q^{6} t^{5} + q^{9} t - 2 \, q^{8} t^{2} + 47 \, q^{7} t^{3} + 6 \, q^{6} t^{4} + 20 \, q^{5} t^{5} - 6 \, q^{7} t^{2} + 2 \, q^{6} t^{3} + 42 \, q^{5} t^{4} - 14 \, q^{4} t^{5} + 3 \, q^{6} t^{2} + 5 \, q^{5} t^{3} - 17 \, q^{4} t^{4} - 5 \, q^{3} t^{5} - 2 \, q^{4} t^{3} - 6 \, q^{3} t^{4} - 4 \, q^{2} t^{5} + q^{2} t^{4} + 4 \, q t^{5} + t^{6}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 6], [1, 6], [2, 4], [2, 5], [3, 4], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + 5 \, q^{17} t - q^{16} t^{2} - q^{15} t^{3} - 9 \, q^{16} t - 9 \, q^{15} t^{2} + 5 \, q^{14} t^{3} + q^{13} t^{4} + 2 \, q^{15} t - 6 \, q^{14} t^{2} + 2 \, q^{13} t^{3} - 2 \, q^{12} t^{4} - 20 \, q^{14} t + 44 \, q^{13} t^{2} + 20 \, q^{12} t^{3} + 4 \, q^{11} t^{4} - 4 \, q^{10} t^{5} + 22 \, q^{13} t + 3 \, q^{12} t^{2} - 21 \, q^{11} t^{3} - 39 \, q^{10} t^{4} + 11 \, q^{9} t^{5} - 8 \, q^{12} t - 6 \, q^{11} t^{2} - 57 \, q^{10} t^{3} + 19 \, q^{9} t^{4} - 3 \, q^{8} t^{5} - q^{7} t^{6} + q^{11} t + 3 \, q^{10} t^{2} - 19 \, q^{9} t^{3} + 57 \, q^{8} t^{4} + 6 \, q^{7} t^{5} + 8 \, q^{6} t^{6} - 11 \, q^{9} t^{2} + 39 \, q^{8} t^{3} + 21 \, q^{7} t^{4} - 3 \, q^{6} t^{5} - 22 \, q^{5} t^{6} + 4 \, q^{8} t^{2} - 4 \, q^{7} t^{3} - 20 \, q^{6} t^{4} - 44 \, q^{5} t^{5} + 20 \, q^{4} t^{6} + 2 \, q^{6} t^{3} - 2 \, q^{5} t^{4} + 6 \, q^{4} t^{5} - 2 \, q^{3} t^{6} - q^{5} t^{3} - 5 \, q^{4} t^{4} + 9 \, q^{3} t^{5} + 9 \, q^{2} t^{6} + q^{3} t^{4} + q^{2} t^{5} - 5 \, q t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 6], [1, 6], [2, 4], [2, 5], [3, 4], [3, 5], [3, 6], [4, 5]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 4 \, q^{16} t + q^{15} t^{2} - 7 \, q^{15} t - 6 \, q^{14} t^{2} - q^{13} t^{3} + 4 \, q^{14} t - 4 \, q^{13} t^{2} + 2 \, q^{12} t^{3} - 22 \, q^{13} t + 8 \, q^{12} t^{2} + 4 \, q^{10} t^{4} + 22 \, q^{12} t + 29 \, q^{11} t^{2} + 28 \, q^{10} t^{3} - 11 \, q^{9} t^{4} - 8 \, q^{11} t - 10 \, q^{10} t^{2} - 39 \, q^{9} t^{3} + 4 \, q^{8} t^{4} + q^{7} t^{5} + q^{10} t + 4 \, q^{9} t^{2} - 39 \, q^{8} t^{3} - 10 \, q^{7} t^{4} - 8 \, q^{6} t^{5} - 11 \, q^{8} t^{2} + 28 \, q^{7} t^{3} + 29 \, q^{6} t^{4} + 22 \, q^{5} t^{5} + 4 \, q^{7} t^{2} + 8 \, q^{5} t^{4} - 22 \, q^{4} t^{5} + 2 \, q^{5} t^{3} - 4 \, q^{4} t^{4} + 4 \, q^{3} t^{5} - q^{4} t^{3} - 6 \, q^{3} t^{4} - 7 \, q^{2} t^{5} + q^{2} t^{4} + 4 \, q t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 6], [1, 6], [2, 4], [2, 5], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + 4 \, q^{17} t + q^{16} t^{2} - 8 \, q^{16} t - 4 \, q^{15} t^{2} + 7 \, q^{15} t - 4 \, q^{14} t^{2} - 3 \, q^{13} t^{3} - 24 \, q^{14} t + 12 \, q^{12} t^{3} + 22 \, q^{13} t + 33 \, q^{12} t^{2} - 18 \, q^{11} t^{3} + 5 \, q^{10} t^{4} - 8 \, q^{12} t - 12 \, q^{11} t^{2} + 60 \, q^{10} t^{3} - 16 \, q^{9} t^{4} + q^{11} t + 12 \, q^{10} t^{2} - 122 \, q^{9} t^{3} + 12 \, q^{8} t^{4} + q^{7} t^{5} - 16 \, q^{9} t^{2} + 60 \, q^{8} t^{3} - 12 \, q^{7} t^{4} - 8 \, q^{6} t^{5} + 5 \, q^{8} t^{2} - 18 \, q^{7} t^{3} + 33 \, q^{6} t^{4} + 22 \, q^{5} t^{5} + 12 \, q^{6} t^{3} - 24 \, q^{4} t^{5} - 3 \, q^{5} t^{3} - 4 \, q^{4} t^{4} + 7 \, q^{3} t^{5} - 4 \, q^{3} t^{4} - 8 \, q^{2} t^{5} + q^{2} t^{4} + 4 \, q t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{3} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 6], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{14} t - 3 \, q^{13} t^{2} - 5 \, q^{12} t^{3} + 3 \, q^{11} t^{4} + q^{14} + 9 \, q^{13} t - 3 \, q^{12} t^{2} + q^{11} t^{3} + 6 \, q^{10} t^{4} + 2 \, q^{9} t^{5} - 14 \, q^{12} t - 18 \, q^{11} t^{2} + 63 \, q^{10} t^{3} - 13 \, q^{9} t^{4} - 21 \, q^{8} t^{5} - q^{7} t^{6} - 26 \, q^{11} t + 15 \, q^{10} t^{2} - 29 \, q^{9} t^{3} - 71 \, q^{8} t^{4} + 23 \, q^{7} t^{5} + 4 \, q^{6} t^{6} + 30 \, q^{10} t + 106 \, q^{9} t^{2} - 78 \, q^{8} t^{3} + 62 \, q^{7} t^{4} + 72 \, q^{6} t^{5} + 4 \, q^{5} t^{6} - 4 \, q^{9} t - 72 \, q^{8} t^{2} - 62 \, q^{7} t^{3} + 78 \, q^{6} t^{4} - 106 \, q^{5} t^{5} - 30 \, q^{4} t^{6} - 4 \, q^{8} t - 23 \, q^{7} t^{2} + 71 \, q^{6} t^{3} + 29 \, q^{5} t^{4} - 15 \, q^{4} t^{5} + 26 \, q^{3} t^{6} + q^{7} t + 21 \, q^{6} t^{2} + 13 \, q^{5} t^{3} - 63 \, q^{4} t^{4} + 18 \, q^{3} t^{5} + 14 \, q^{2} t^{6} - 2 \, q^{5} t^{2} - 6 \, q^{4} t^{3} - q^{3} t^{4} + 3 \, q^{2} t^{5} - 9 \, q t^{6} - t^{7} - 3 \, q^{3} t^{3} + 5 \, q^{2} t^{4} + 3 \, q t^{5} - t^{6}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 5 edges: | [[0, 6], [1, 5], [2, 4], [3, 4], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{15} t - 2 \, q^{14} t^{2} - q^{13} t^{3} + q^{15} + q^{13} t^{2} + 2 \, q^{13} t - 6 \, q^{12} t^{2} + 10 \, q^{11} t^{3} + 2 \, q^{10} t^{4} - 12 \, q^{12} t + 14 \, q^{11} t^{2} - 4 \, q^{10} t^{3} + 2 \, q^{9} t^{4} - 8 \, q^{11} t - 8 \, q^{10} t^{2} - q^{9} t^{3} - 22 \, q^{8} t^{4} + q^{7} t^{5} + 18 \, q^{10} t + 23 \, q^{9} t^{2} - 14 \, q^{8} t^{3} + 11 \, q^{7} t^{4} - 8 \, q^{6} t^{5} - 8 \, q^{9} t + 11 \, q^{8} t^{2} - 14 \, q^{7} t^{3} + 23 \, q^{6} t^{4} + 18 \, q^{5} t^{5} + q^{8} t - 22 \, q^{7} t^{2} - q^{6} t^{3} - 8 \, q^{5} t^{4} - 8 \, q^{4} t^{5} + 2 \, q^{6} t^{2} - 4 \, q^{5} t^{3} + 14 \, q^{4} t^{4} - 12 \, q^{3} t^{5} + 2 \, q^{5} t^{2} + 10 \, q^{4} t^{3} - 6 \, q^{3} t^{4} + 2 \, q^{2} t^{5} + q^{2} t^{4} + t^{6} - q^{2} t^{3} - 2 \, q t^{4} + t^{5}}{{\left(q^{3} - t\right)}^{2} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[1, 5], [2, 4], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{15} t + q^{15} - 2 \, q^{14} t - 4 \, q^{13} t^{2} + 12 \, q^{13} t - 12 \, q^{11} t^{3} - 28 \, q^{12} t + 6 \, q^{11} t^{2} + 54 \, q^{10} t^{3} + 8 \, q^{9} t^{4} + 2 \, q^{11} t - 22 \, q^{10} t^{2} - 52 \, q^{9} t^{3} - 14 \, q^{8} t^{4} + q^{7} t^{5} + 16 \, q^{10} t + 78 \, q^{9} t^{2} - 37 \, q^{7} t^{4} - 8 \, q^{6} t^{5} - 8 \, q^{9} t - 37 \, q^{8} t^{2} + 78 \, q^{6} t^{4} + 16 \, q^{5} t^{5} + q^{8} t - 14 \, q^{7} t^{2} - 52 \, q^{6} t^{3} - 22 \, q^{5} t^{4} + 2 \, q^{4} t^{5} + 8 \, q^{6} t^{2} + 54 \, q^{5} t^{3} + 6 \, q^{4} t^{4} - 28 \, q^{3} t^{5} - 12 \, q^{4} t^{3} + 12 \, q^{2} t^{5} - 4 \, q^{2} t^{4} - 2 \, q t^{5} + t^{6} + t^{5}}{{\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[1, 5], [1, 6], [2, 4], [2, 6], [3, 4], [3, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{21} t + q^{21} - 2 \, q^{20} t - 4 \, q^{19} t^{2} + 8 \, q^{19} t - 6 \, q^{17} t^{3} - 20 \, q^{18} t + 4 \, q^{17} t^{2} + 40 \, q^{16} t^{3} + 4 \, q^{15} t^{4} - 6 \, q^{17} t - 22 \, q^{16} t^{2} - 25 \, q^{15} t^{3} + 12 \, q^{14} t^{4} - q^{13} t^{5} + 18 \, q^{16} t + 101 \, q^{15} t^{2} - 40 \, q^{14} t^{3} - 125 \, q^{13} t^{4} - 10 \, q^{12} t^{5} - 8 \, q^{15} t - 45 \, q^{14} t^{2} + 66 \, q^{13} t^{3} + 158 \, q^{12} t^{4} + 14 \, q^{11} t^{5} + 2 \, q^{10} t^{6} + q^{14} t - 10 \, q^{13} t^{2} - 204 \, q^{12} t^{3} - 14 \, q^{11} t^{4} + 110 \, q^{10} t^{5} + 2 \, q^{9} t^{6} + 2 \, q^{12} t^{2} + 110 \, q^{11} t^{3} - 14 \, q^{10} t^{4} - 204 \, q^{9} t^{5} - 10 \, q^{8} t^{6} + q^{7} t^{7} + 2 \, q^{11} t^{2} + 14 \, q^{10} t^{3} + 158 \, q^{9} t^{4} + 66 \, q^{8} t^{5} - 45 \, q^{7} t^{6} - 8 \, q^{6} t^{7} - 10 \, q^{9} t^{3} - 125 \, q^{8} t^{4} - 40 \, q^{7} t^{5} + 101 \, q^{6} t^{6} + 18 \, q^{5} t^{7} - q^{8} t^{3} + 12 \, q^{7} t^{4} - 25 \, q^{6} t^{5} - 22 \, q^{5} t^{6} - 6 \, q^{4} t^{7} + 4 \, q^{6} t^{4} + 40 \, q^{5} t^{5} + 4 \, q^{4} t^{6} - 20 \, q^{3} t^{7} - 6 \, q^{4} t^{5} + 8 \, q^{2} t^{7} - 4 \, q^{2} t^{6} - 2 \, q t^{7} + t^{8} + t^{7}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[1, 5], [1, 6], [2, 4], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{19} + q^{18} t + 8 \, q^{17} t - 4 \, q^{16} t^{2} - 23 \, q^{16} t - 5 \, q^{15} t^{2} - 10 \, q^{14} t^{3} - 4 \, q^{15} t - 22 \, q^{14} t^{2} + 50 \, q^{13} t^{3} + 8 \, q^{12} t^{4} + 18 \, q^{14} t + 108 \, q^{13} t^{2} - 18 \, q^{12} t^{3} - 5 \, q^{11} t^{4} - q^{10} t^{5} - 8 \, q^{13} t - 48 \, q^{12} t^{2} - 32 \, q^{11} t^{3} - 86 \, q^{10} t^{4} - 6 \, q^{9} t^{5} + q^{12} t - 15 \, q^{11} t^{2} - 108 \, q^{10} t^{3} + 108 \, q^{9} t^{4} + 15 \, q^{8} t^{5} - q^{7} t^{6} + 6 \, q^{10} t^{2} + 86 \, q^{9} t^{3} + 32 \, q^{8} t^{4} + 48 \, q^{7} t^{5} + 8 \, q^{6} t^{6} + q^{9} t^{2} + 5 \, q^{8} t^{3} + 18 \, q^{7} t^{4} - 108 \, q^{6} t^{5} - 18 \, q^{5} t^{6} - 8 \, q^{7} t^{3} - 50 \, q^{6} t^{4} + 22 \, q^{5} t^{5} + 4 \, q^{4} t^{6} + 10 \, q^{5} t^{4} + 5 \, q^{4} t^{5} + 23 \, q^{3} t^{6} + 4 \, q^{3} t^{5} - 8 \, q^{2} t^{6} - q t^{6} - t^{7}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{4} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 6], [1, 5], [1, 6], [2, 4], [2, 6], [3, 4], [3, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{22} + q^{21} t + 6 \, q^{20} t - 4 \, q^{19} t^{2} - 20 \, q^{19} t - 6 \, q^{18} t^{2} - 6 \, q^{17} t^{3} - 6 \, q^{18} t - 18 \, q^{17} t^{2} + 44 \, q^{16} t^{3} + 4 \, q^{15} t^{4} + 18 \, q^{17} t + 113 \, q^{16} t^{2} - 25 \, q^{15} t^{3} + 11 \, q^{14} t^{4} - q^{13} t^{5} - 8 \, q^{16} t - 52 \, q^{15} t^{2} + 12 \, q^{14} t^{3} - 120 \, q^{13} t^{4} - 10 \, q^{12} t^{5} + q^{15} t - 9 \, q^{14} t^{2} - 204 \, q^{13} t^{3} + 112 \, q^{12} t^{4} + 12 \, q^{11} t^{5} + 2 \, q^{10} t^{6} + 2 \, q^{13} t^{2} + 122 \, q^{12} t^{3} + 56 \, q^{11} t^{4} + 122 \, q^{10} t^{5} + 2 \, q^{9} t^{6} + 2 \, q^{12} t^{2} + 12 \, q^{11} t^{3} + 112 \, q^{10} t^{4} - 204 \, q^{9} t^{5} - 9 \, q^{8} t^{6} + q^{7} t^{7} - 10 \, q^{10} t^{3} - 120 \, q^{9} t^{4} + 12 \, q^{8} t^{5} - 52 \, q^{7} t^{6} - 8 \, q^{6} t^{7} - q^{9} t^{3} + 11 \, q^{8} t^{4} - 25 \, q^{7} t^{5} + 113 \, q^{6} t^{6} + 18 \, q^{5} t^{7} + 4 \, q^{7} t^{4} + 44 \, q^{6} t^{5} - 18 \, q^{5} t^{6} - 6 \, q^{4} t^{7} - 6 \, q^{5} t^{5} - 6 \, q^{4} t^{6} - 20 \, q^{3} t^{7} - 4 \, q^{3} t^{6} + 6 \, q^{2} t^{7} + q t^{7} + t^{8}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{4} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 6], [1, 5], [1, 6], [2, 4], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{13} t + q^{13} - 2 \, q^{12} t - 3 \, q^{11} t^{2} + 9 \, q^{11} t - 9 \, q^{9} t^{3} - 18 \, q^{10} t + 9 \, q^{9} t^{2} + 30 \, q^{8} t^{3} - q^{7} t^{4} - 6 \, q^{9} t - 18 \, q^{8} t^{2} - 13 \, q^{7} t^{3} + 8 \, q^{6} t^{4} + 18 \, q^{8} t + 30 \, q^{7} t^{2} - 30 \, q^{6} t^{3} - 18 \, q^{5} t^{4} - 8 \, q^{7} t + 13 \, q^{6} t^{2} + 18 \, q^{5} t^{3} + 6 \, q^{4} t^{4} + q^{6} t - 30 \, q^{5} t^{2} - 9 \, q^{4} t^{3} + 18 \, q^{3} t^{4} + 9 \, q^{4} t^{2} - 9 \, q^{2} t^{4} + 3 \, q^{2} t^{3} + 2 \, q t^{4} - t^{5} - t^{4}}{{\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[1, 5], [1, 6], [2, 4], [2, 6], [3, 4], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{22} t + q^{22} - 2 \, q^{21} t - 3 \, q^{20} t^{2} + 5 \, q^{20} t - q^{19} t^{2} - 3 \, q^{18} t^{3} + q^{19} t - q^{18} t^{2} + 15 \, q^{17} t^{3} + q^{16} t^{4} - 48 \, q^{18} t - 17 \, q^{17} t^{2} + 24 \, q^{16} t^{3} + 15 \, q^{15} t^{4} + 54 \, q^{17} t + 77 \, q^{16} t^{2} - 39 \, q^{15} t^{3} - 49 \, q^{14} t^{4} - 3 \, q^{13} t^{5} - 22 \, q^{16} t + q^{15} t^{2} - 29 \, q^{14} t^{3} - 88 \, q^{13} t^{4} - 39 \, q^{12} t^{5} + 3 \, q^{15} t - 28 \, q^{14} t^{2} + 16 \, q^{13} t^{3} + 283 \, q^{12} t^{4} + 179 \, q^{11} t^{5} + 7 \, q^{10} t^{6} - 7 \, q^{13} t^{2} - 177 \, q^{12} t^{3} - 254 \, q^{11} t^{4} - 177 \, q^{10} t^{5} - 7 \, q^{9} t^{6} + 7 \, q^{12} t^{2} + 179 \, q^{11} t^{3} + 283 \, q^{10} t^{4} + 16 \, q^{9} t^{5} - 28 \, q^{8} t^{6} + 3 \, q^{7} t^{7} - 39 \, q^{10} t^{3} - 88 \, q^{9} t^{4} - 29 \, q^{8} t^{5} + q^{7} t^{6} - 22 \, q^{6} t^{7} - 3 \, q^{9} t^{3} - 49 \, q^{8} t^{4} - 39 \, q^{7} t^{5} + 77 \, q^{6} t^{6} + 54 \, q^{5} t^{7} + 15 \, q^{7} t^{4} + 24 \, q^{6} t^{5} - 17 \, q^{5} t^{6} - 48 \, q^{4} t^{7} + q^{6} t^{4} + 15 \, q^{5} t^{5} - q^{4} t^{6} + q^{3} t^{7} - 3 \, q^{4} t^{5} - q^{3} t^{6} + 5 \, q^{2} t^{7} - 3 \, q^{2} t^{6} - 2 \, q t^{7} + t^{8} + t^{7}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[1, 5], [1, 6], [2, 4], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{19} t + q^{19} - 2 \, q^{18} t - 3 \, q^{17} t^{2} + 5 \, q^{17} t - 3 \, q^{15} t^{3} - 10 \, q^{16} t + 3 \, q^{15} t^{2} + 16 \, q^{14} t^{3} + q^{13} t^{4} - 14 \, q^{15} t - 2 \, q^{14} t^{2} + 4 \, q^{13} t^{3} + 8 \, q^{12} t^{4} + 20 \, q^{14} t + 25 \, q^{13} t^{2} - 42 \, q^{12} t^{3} - 41 \, q^{11} t^{4} - 2 \, q^{10} t^{5} - 8 \, q^{13} t + 23 \, q^{12} t^{2} + 31 \, q^{11} t^{3} + 16 \, q^{10} t^{4} - 3 \, q^{9} t^{5} + q^{12} t - 30 \, q^{11} t^{2} - 57 \, q^{10} t^{3} + 57 \, q^{9} t^{4} + 30 \, q^{8} t^{5} - q^{7} t^{6} + 3 \, q^{10} t^{2} - 16 \, q^{9} t^{3} - 31 \, q^{8} t^{4} - 23 \, q^{7} t^{5} + 8 \, q^{6} t^{6} + 2 \, q^{9} t^{2} + 41 \, q^{8} t^{3} + 42 \, q^{7} t^{4} - 25 \, q^{6} t^{5} - 20 \, q^{5} t^{6} - 8 \, q^{7} t^{3} - 4 \, q^{6} t^{4} + 2 \, q^{5} t^{5} + 14 \, q^{4} t^{6} - q^{6} t^{3} - 16 \, q^{5} t^{4} - 3 \, q^{4} t^{5} + 10 \, q^{3} t^{6} + 3 \, q^{4} t^{4} - 5 \, q^{2} t^{6} + 3 \, q^{2} t^{5} + 2 \, q t^{6} - t^{7} - t^{6}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[1, 5], [1, 6], [2, 4], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + 4 \, q^{13} t + q^{12} t^{2} - q^{12} t - 4 \, q^{11} t^{2} - q^{10} t^{3} - 11 \, q^{11} t - 8 \, q^{10} t^{2} - 5 \, q^{9} t^{3} - 8 \, q^{10} t + 9 \, q^{9} t^{2} + 24 \, q^{8} t^{3} - q^{7} t^{4} + 18 \, q^{9} t + 20 \, q^{8} t^{2} - 10 \, q^{7} t^{3} + 8 \, q^{6} t^{4} - 8 \, q^{8} t + 10 \, q^{7} t^{2} - 20 \, q^{6} t^{3} - 18 \, q^{5} t^{4} + q^{7} t - 24 \, q^{6} t^{2} - 9 \, q^{5} t^{3} + 8 \, q^{4} t^{4} + 5 \, q^{5} t^{2} + 8 \, q^{4} t^{3} + 11 \, q^{3} t^{4} + q^{4} t^{2} + 4 \, q^{3} t^{3} + q^{2} t^{4} - q^{2} t^{3} - 4 \, q t^{4} - t^{5}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 6], [1, 5], [2, 4], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{19} + q^{18} t + 10 \, q^{17} t - 4 \, q^{16} t^{2} - 27 \, q^{16} t - 11 \, q^{15} t^{2} - 8 \, q^{14} t^{3} - 2 \, q^{15} t - 12 \, q^{14} t^{2} + 44 \, q^{13} t^{3} + 8 \, q^{12} t^{4} + 18 \, q^{14} t + 104 \, q^{13} t^{2} + 6 \, q^{12} t^{3} - 9 \, q^{11} t^{4} - q^{10} t^{5} - 8 \, q^{13} t - 46 \, q^{12} t^{2} - 72 \, q^{11} t^{3} - 76 \, q^{10} t^{4} - 6 \, q^{9} t^{5} + q^{12} t - 17 \, q^{11} t^{2} - 82 \, q^{10} t^{3} + 82 \, q^{9} t^{4} + 17 \, q^{8} t^{5} - q^{7} t^{6} + 6 \, q^{10} t^{2} + 76 \, q^{9} t^{3} + 72 \, q^{8} t^{4} + 46 \, q^{7} t^{5} + 8 \, q^{6} t^{6} + q^{9} t^{2} + 9 \, q^{8} t^{3} - 6 \, q^{7} t^{4} - 104 \, q^{6} t^{5} - 18 \, q^{5} t^{6} - 8 \, q^{7} t^{3} - 44 \, q^{6} t^{4} + 12 \, q^{5} t^{5} + 2 \, q^{4} t^{6} + 8 \, q^{5} t^{4} + 11 \, q^{4} t^{5} + 27 \, q^{3} t^{6} + 4 \, q^{3} t^{5} - 10 \, q^{2} t^{6} - q t^{6} - t^{7}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{4} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 6], [1, 5], [1, 6], [2, 4], [2, 6], [3, 4], [3, 5], [4, 5]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{19} + q^{18} t + 6 \, q^{17} t - 4 \, q^{16} t^{2} - 17 \, q^{16} t - 7 \, q^{15} t^{2} - 6 \, q^{14} t^{3} - 10 \, q^{15} t - 8 \, q^{14} t^{2} + 36 \, q^{13} t^{3} + 8 \, q^{12} t^{4} + 20 \, q^{14} t + 78 \, q^{13} t^{2} + 4 \, q^{12} t^{3} - 15 \, q^{11} t^{4} - q^{10} t^{5} - 8 \, q^{13} t - 22 \, q^{12} t^{2} - 64 \, q^{11} t^{3} - 52 \, q^{10} t^{4} - 6 \, q^{9} t^{5} + q^{12} t - 23 \, q^{11} t^{2} - 64 \, q^{10} t^{3} + 64 \, q^{9} t^{4} + 23 \, q^{8} t^{5} - q^{7} t^{6} + 6 \, q^{10} t^{2} + 52 \, q^{9} t^{3} + 64 \, q^{8} t^{4} + 22 \, q^{7} t^{5} + 8 \, q^{6} t^{6} + q^{9} t^{2} + 15 \, q^{8} t^{3} - 4 \, q^{7} t^{4} - 78 \, q^{6} t^{5} - 20 \, q^{5} t^{6} - 8 \, q^{7} t^{3} - 36 \, q^{6} t^{4} + 8 \, q^{5} t^{5} + 10 \, q^{4} t^{6} + 6 \, q^{5} t^{4} + 7 \, q^{4} t^{5} + 17 \, q^{3} t^{6} + 4 \, q^{3} t^{5} - 6 \, q^{2} t^{6} - q t^{6} - t^{7}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{4} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 6], [1, 5], [1, 6], [2, 4], [2, 6], [3, 4], [3, 5], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + q^{16} t + 5 \, q^{15} t - 3 \, q^{14} t^{2} - 13 \, q^{14} t - 7 \, q^{12} t^{3} - 12 \, q^{13} t - 15 \, q^{12} t^{2} + 26 \, q^{11} t^{3} + q^{10} t^{4} + 20 \, q^{12} t + 46 \, q^{11} t^{2} - 3 \, q^{10} t^{3} + 7 \, q^{9} t^{4} - 8 \, q^{11} t + 12 \, q^{10} t^{2} - 26 \, q^{9} t^{3} - 33 \, q^{8} t^{4} + q^{7} t^{5} + q^{10} t - 33 \, q^{9} t^{2} - 26 \, q^{8} t^{3} + 12 \, q^{7} t^{4} - 8 \, q^{6} t^{5} + 7 \, q^{8} t^{2} - 3 \, q^{7} t^{3} + 46 \, q^{6} t^{4} + 20 \, q^{5} t^{5} + q^{7} t^{2} + 26 \, q^{6} t^{3} - 15 \, q^{5} t^{4} - 12 \, q^{4} t^{5} - 7 \, q^{5} t^{3} - 13 \, q^{3} t^{5} - 3 \, q^{3} t^{4} + 5 \, q^{2} t^{5} + q t^{5} + t^{6}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 6], [1, 5], [1, 6], [2, 4], [2, 6], [3, 4], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + q^{19} t + 3 \, q^{18} t - 3 \, q^{17} t^{2} - 4 \, q^{17} t - 3 \, q^{16} t^{2} - 3 \, q^{15} t^{3} - 28 \, q^{16} t - 20 \, q^{15} t^{2} + 13 \, q^{14} t^{3} + q^{13} t^{4} + 30 \, q^{15} t + 65 \, q^{14} t^{2} + 37 \, q^{13} t^{3} + 12 \, q^{12} t^{4} - 10 \, q^{14} t + 14 \, q^{13} t^{2} - 65 \, q^{12} t^{3} - 63 \, q^{11} t^{4} - 2 \, q^{10} t^{5} + q^{13} t - 39 \, q^{12} t^{2} - 32 \, q^{11} t^{3} + 35 \, q^{10} t^{4} - 5 \, q^{9} t^{5} + 5 \, q^{11} t^{2} - 35 \, q^{10} t^{3} + 32 \, q^{9} t^{4} + 39 \, q^{8} t^{5} - q^{7} t^{6} + 2 \, q^{10} t^{2} + 63 \, q^{9} t^{3} + 65 \, q^{8} t^{4} - 14 \, q^{7} t^{5} + 10 \, q^{6} t^{6} - 12 \, q^{8} t^{3} - 37 \, q^{7} t^{4} - 65 \, q^{6} t^{5} - 30 \, q^{5} t^{6} - q^{7} t^{3} - 13 \, q^{6} t^{4} + 20 \, q^{5} t^{5} + 28 \, q^{4} t^{6} + 3 \, q^{5} t^{4} + 3 \, q^{4} t^{5} + 4 \, q^{3} t^{6} + 3 \, q^{3} t^{5} - 3 \, q^{2} t^{6} - q t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 6], [1, 5], [1, 6], [2, 4], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + q^{19} t + 3 \, q^{18} t - 3 \, q^{17} t^{2} - 10 \, q^{17} t - 3 \, q^{16} t^{2} - 3 \, q^{15} t^{3} - 14 \, q^{16} t - 4 \, q^{15} t^{2} + 17 \, q^{14} t^{3} + q^{13} t^{4} + 20 \, q^{15} t + 39 \, q^{14} t^{2} + q^{13} t^{3} + 8 \, q^{12} t^{4} - 8 \, q^{14} t + 16 \, q^{13} t^{2} - 9 \, q^{12} t^{3} - 39 \, q^{11} t^{4} - 2 \, q^{10} t^{5} + q^{13} t - 29 \, q^{12} t^{2} - 68 \, q^{11} t^{3} + 3 \, q^{10} t^{4} - 3 \, q^{9} t^{5} + 3 \, q^{11} t^{2} - 3 \, q^{10} t^{3} + 68 \, q^{9} t^{4} + 29 \, q^{8} t^{5} - q^{7} t^{6} + 2 \, q^{10} t^{2} + 39 \, q^{9} t^{3} + 9 \, q^{8} t^{4} - 16 \, q^{7} t^{5} + 8 \, q^{6} t^{6} - 8 \, q^{8} t^{3} - q^{7} t^{4} - 39 \, q^{6} t^{5} - 20 \, q^{5} t^{6} - q^{7} t^{3} - 17 \, q^{6} t^{4} + 4 \, q^{5} t^{5} + 14 \, q^{4} t^{6} + 3 \, q^{5} t^{4} + 3 \, q^{4} t^{5} + 10 \, q^{3} t^{6} + 3 \, q^{3} t^{5} - 3 \, q^{2} t^{6} - q t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 6], [1, 5], [1, 6], [2, 4], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + 2 \, q^{19} t - q^{18} t^{2} + 2 \, q^{18} t - 8 \, q^{17} t^{2} - 2 \, q^{16} t^{3} - 17 \, q^{17} t - 4 \, q^{16} t^{2} + 17 \, q^{15} t^{3} + 10 \, q^{14} t^{4} - 6 \, q^{16} t + 18 \, q^{15} t^{2} + 32 \, q^{14} t^{3} - 30 \, q^{13} t^{4} - 6 \, q^{12} t^{5} + 18 \, q^{15} t + 78 \, q^{14} t^{2} - 52 \, q^{13} t^{3} - 23 \, q^{12} t^{4} + q^{10} t^{6} - 8 \, q^{14} t - 60 \, q^{13} t^{2} - 98 \, q^{12} t^{3} - 18 \, q^{11} t^{4} + 54 \, q^{10} t^{5} + 2 \, q^{9} t^{6} + q^{13} t + 2 \, q^{12} t^{2} - q^{11} t^{3} + 192 \, q^{10} t^{4} - q^{9} t^{5} + 2 \, q^{8} t^{6} + q^{7} t^{7} + 2 \, q^{11} t^{2} + 54 \, q^{10} t^{3} - 18 \, q^{9} t^{4} - 98 \, q^{8} t^{5} - 60 \, q^{7} t^{6} - 8 \, q^{6} t^{7} + q^{10} t^{2} - 23 \, q^{8} t^{4} - 52 \, q^{7} t^{5} + 78 \, q^{6} t^{6} + 18 \, q^{5} t^{7} - 6 \, q^{8} t^{3} - 30 \, q^{7} t^{4} + 32 \, q^{6} t^{5} + 18 \, q^{5} t^{6} - 6 \, q^{4} t^{7} + 10 \, q^{6} t^{4} + 17 \, q^{5} t^{5} - 4 \, q^{4} t^{6} - 17 \, q^{3} t^{7} - 2 \, q^{4} t^{5} - 8 \, q^{3} t^{6} + 2 \, q^{2} t^{7} - q^{2} t^{6} + 2 \, q t^{7} + t^{8}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{4} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 6], [1, 5], [2, 4], [2, 5], [3, 4], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{19} + q^{18} t + 4 \, q^{17} t - 4 \, q^{16} t^{2} - 9 \, q^{16} t - 5 \, q^{15} t^{2} - 4 \, q^{14} t^{3} - 22 \, q^{15} t - 18 \, q^{14} t^{2} + 30 \, q^{13} t^{3} + 6 \, q^{12} t^{4} + 28 \, q^{14} t + 100 \, q^{13} t^{2} + 6 \, q^{12} t^{3} - 5 \, q^{11} t^{4} - 3 \, q^{10} t^{5} - 10 \, q^{13} t - 50 \, q^{12} t^{2} - 50 \, q^{11} t^{3} - 74 \, q^{10} t^{4} + 4 \, q^{9} t^{5} + q^{12} t - q^{11} t^{2} - 90 \, q^{10} t^{3} + 90 \, q^{9} t^{4} + q^{8} t^{5} - q^{7} t^{6} - 4 \, q^{10} t^{2} + 74 \, q^{9} t^{3} + 50 \, q^{8} t^{4} + 50 \, q^{7} t^{5} + 10 \, q^{6} t^{6} + 3 \, q^{9} t^{2} + 5 \, q^{8} t^{3} - 6 \, q^{7} t^{4} - 100 \, q^{6} t^{5} - 28 \, q^{5} t^{6} - 6 \, q^{7} t^{3} - 30 \, q^{6} t^{4} + 18 \, q^{5} t^{5} + 22 \, q^{4} t^{6} + 4 \, q^{5} t^{4} + 5 \, q^{4} t^{5} + 9 \, q^{3} t^{6} + 4 \, q^{3} t^{5} - 4 \, q^{2} t^{6} - q t^{6} - t^{7}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{4} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 6], [1, 5], [1, 6], [2, 4], [2, 5], [3, 4], [3, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{28} t + q^{28} - 2 \, q^{27} t - 2 \, q^{26} t^{2} + 2 \, q^{26} t - q^{25} t^{2} - q^{24} t^{3} - q^{25} t + q^{24} t^{2} + 6 \, q^{23} t^{3} - 20 \, q^{24} t + 4 \, q^{23} t^{2} + 11 \, q^{22} t^{3} + 3 \, q^{21} t^{4} + 12 \, q^{23} t + 5 \, q^{22} t^{2} - 5 \, q^{21} t^{3} + 25 \, q^{21} t^{2} - 39 \, q^{20} t^{3} - 61 \, q^{19} t^{4} - 5 \, q^{18} t^{5} - q^{21} t + 55 \, q^{20} t^{2} + 49 \, q^{19} t^{3} + 69 \, q^{18} t^{4} + 8 \, q^{17} t^{5} - 74 \, q^{19} t^{2} - 153 \, q^{18} t^{3} - 26 \, q^{17} t^{4} + 9 \, q^{16} t^{5} - q^{15} t^{6} + 25 \, q^{18} t^{2} + 30 \, q^{17} t^{3} + 105 \, q^{16} t^{4} + 79 \, q^{15} t^{5} + 18 \, q^{14} t^{6} - 2 \, q^{17} t^{2} - 12 \, q^{16} t^{3} - 29 \, q^{15} t^{4} - 156 \, q^{14} t^{5} - 47 \, q^{13} t^{6} + 47 \, q^{15} t^{3} + 156 \, q^{14} t^{4} + 29 \, q^{13} t^{5} + 12 \, q^{12} t^{6} + 2 \, q^{11} t^{7} - 18 \, q^{14} t^{3} - 79 \, q^{13} t^{4} - 105 \, q^{12} t^{5} - 30 \, q^{11} t^{6} - 25 \, q^{10} t^{7} + q^{13} t^{3} - 9 \, q^{12} t^{4} + 26 \, q^{11} t^{5} + 153 \, q^{10} t^{6} + 74 \, q^{9} t^{7} - 8 \, q^{11} t^{4} - 69 \, q^{10} t^{5} - 49 \, q^{9} t^{6} - 55 \, q^{8} t^{7} + q^{7} t^{8} + 5 \, q^{10} t^{4} + 61 \, q^{9} t^{5} + 39 \, q^{8} t^{6} - 25 \, q^{7} t^{7} + 5 \, q^{7} t^{6} - 5 \, q^{6} t^{7} - 12 \, q^{5} t^{8} - 3 \, q^{7} t^{5} - 11 \, q^{6} t^{6} - 4 \, q^{5} t^{7} + 20 \, q^{4} t^{8} - 6 \, q^{5} t^{6} - q^{4} t^{7} + q^{3} t^{8} + q^{4} t^{6} + q^{3} t^{7} - 2 \, q^{2} t^{8} + 2 \, q^{2} t^{7} + 2 \, q t^{8} - t^{9} - t^{8}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[1, 5], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{20} t + q^{20} - 2 \, q^{19} t - 2 \, q^{18} t^{2} + 2 \, q^{18} t - q^{17} t^{2} - q^{16} t^{3} - q^{17} t + 3 \, q^{16} t^{2} + 6 \, q^{15} t^{3} - 22 \, q^{16} t + 2 \, q^{15} t^{2} + 7 \, q^{14} t^{3} + 3 \, q^{13} t^{4} + 22 \, q^{15} t + 13 \, q^{14} t^{2} - 11 \, q^{13} t^{3} - 2 \, q^{12} t^{4} - 8 \, q^{14} t + 17 \, q^{13} t^{2} - 34 \, q^{12} t^{3} - 47 \, q^{11} t^{4} - 5 \, q^{10} t^{5} + q^{13} t - 2 \, q^{12} t^{2} + 41 \, q^{11} t^{3} + 89 \, q^{10} t^{4} + 14 \, q^{9} t^{5} - 14 \, q^{11} t^{2} - 89 \, q^{10} t^{3} - 41 \, q^{9} t^{4} + 2 \, q^{8} t^{5} - q^{7} t^{6} + 5 \, q^{10} t^{2} + 47 \, q^{9} t^{3} + 34 \, q^{8} t^{4} - 17 \, q^{7} t^{5} + 8 \, q^{6} t^{6} + 2 \, q^{8} t^{3} + 11 \, q^{7} t^{4} - 13 \, q^{6} t^{5} - 22 \, q^{5} t^{6} - 3 \, q^{7} t^{3} - 7 \, q^{6} t^{4} - 2 \, q^{5} t^{5} + 22 \, q^{4} t^{6} - 6 \, q^{5} t^{4} - 3 \, q^{4} t^{5} + q^{3} t^{6} + q^{4} t^{4} + q^{3} t^{5} - 2 \, q^{2} t^{6} + 2 \, q^{2} t^{5} + 2 \, q t^{6} - t^{7} - t^{6}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[1, 5], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + 2 \, q^{19} t - q^{18} t^{2} - 3 \, q^{18} t - 2 \, q^{17} t^{2} - q^{16} t^{3} + 3 \, q^{17} t + 3 \, q^{15} t^{3} - 26 \, q^{16} t - 9 \, q^{15} t^{2} + 18 \, q^{14} t^{3} + 3 \, q^{13} t^{4} + 24 \, q^{15} t + 45 \, q^{14} t^{2} - 30 \, q^{13} t^{3} - 5 \, q^{12} t^{4} - 8 \, q^{14} t - 4 \, q^{13} t^{2} + 33 \, q^{12} t^{3} - 22 \, q^{11} t^{4} - 5 \, q^{10} t^{5} + q^{13} t + 2 \, q^{12} t^{2} - 84 \, q^{11} t^{3} - 2 \, q^{10} t^{4} + 15 \, q^{9} t^{5} - 15 \, q^{11} t^{2} + 2 \, q^{10} t^{3} + 84 \, q^{9} t^{4} - 2 \, q^{8} t^{5} - q^{7} t^{6} + 5 \, q^{10} t^{2} + 22 \, q^{9} t^{3} - 33 \, q^{8} t^{4} + 4 \, q^{7} t^{5} + 8 \, q^{6} t^{6} + 5 \, q^{8} t^{3} + 30 \, q^{7} t^{4} - 45 \, q^{6} t^{5} - 24 \, q^{5} t^{6} - 3 \, q^{7} t^{3} - 18 \, q^{6} t^{4} + 9 \, q^{5} t^{5} + 26 \, q^{4} t^{6} - 3 \, q^{5} t^{4} - 3 \, q^{3} t^{6} + q^{4} t^{4} + 2 \, q^{3} t^{5} + 3 \, q^{2} t^{6} + q^{2} t^{5} - 2 \, q t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 6], [1, 5], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + 2 \, q^{19} t - q^{18} t^{2} - 3 \, q^{18} t - 2 \, q^{17} t^{2} - q^{16} t^{3} + q^{17} t + 3 \, q^{15} t^{3} - 22 \, q^{16} t - 3 \, q^{15} t^{2} + 18 \, q^{14} t^{3} + 3 \, q^{13} t^{4} + 22 \, q^{15} t + 37 \, q^{14} t^{2} - 36 \, q^{13} t^{3} - 5 \, q^{12} t^{4} - 8 \, q^{14} t - 6 \, q^{13} t^{2} + 33 \, q^{12} t^{3} - 20 \, q^{11} t^{4} - 5 \, q^{10} t^{5} + q^{13} t + 6 \, q^{12} t^{2} - 68 \, q^{11} t^{3} + 6 \, q^{10} t^{4} + 15 \, q^{9} t^{5} - 15 \, q^{11} t^{2} - 6 \, q^{10} t^{3} + 68 \, q^{9} t^{4} - 6 \, q^{8} t^{5} - q^{7} t^{6} + 5 \, q^{10} t^{2} + 20 \, q^{9} t^{3} - 33 \, q^{8} t^{4} + 6 \, q^{7} t^{5} + 8 \, q^{6} t^{6} + 5 \, q^{8} t^{3} + 36 \, q^{7} t^{4} - 37 \, q^{6} t^{5} - 22 \, q^{5} t^{6} - 3 \, q^{7} t^{3} - 18 \, q^{6} t^{4} + 3 \, q^{5} t^{5} + 22 \, q^{4} t^{6} - 3 \, q^{5} t^{4} - q^{3} t^{6} + q^{4} t^{4} + 2 \, q^{3} t^{5} + 3 \, q^{2} t^{6} + q^{2} t^{5} - 2 \, q t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 6], [1, 5], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + q^{19} t + q^{18} t - 3 \, q^{17} t^{2} - 4 \, q^{17} t - 3 \, q^{16} t^{2} - q^{15} t^{3} - 20 \, q^{16} t - 2 \, q^{15} t^{2} + 11 \, q^{14} t^{3} + q^{13} t^{4} + 22 \, q^{15} t + 39 \, q^{14} t^{2} + 9 \, q^{13} t^{3} + 6 \, q^{12} t^{4} - 8 \, q^{14} t + 2 \, q^{13} t^{2} - 23 \, q^{12} t^{3} - 39 \, q^{11} t^{4} - 4 \, q^{10} t^{5} + q^{13} t - 7 \, q^{12} t^{2} - 46 \, q^{11} t^{3} + 17 \, q^{10} t^{4} + 9 \, q^{9} t^{5} - 9 \, q^{11} t^{2} - 17 \, q^{10} t^{3} + 46 \, q^{9} t^{4} + 7 \, q^{8} t^{5} - q^{7} t^{6} + 4 \, q^{10} t^{2} + 39 \, q^{9} t^{3} + 23 \, q^{8} t^{4} - 2 \, q^{7} t^{5} + 8 \, q^{6} t^{6} - 6 \, q^{8} t^{3} - 9 \, q^{7} t^{4} - 39 \, q^{6} t^{5} - 22 \, q^{5} t^{6} - q^{7} t^{3} - 11 \, q^{6} t^{4} + 2 \, q^{5} t^{5} + 20 \, q^{4} t^{6} + q^{5} t^{4} + 3 \, q^{4} t^{5} + 4 \, q^{3} t^{6} + 3 \, q^{3} t^{5} - q^{2} t^{6} - q t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 6], [1, 5], [1, 6], [2, 4], [2, 5], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{25} + q^{24} t - 2 \, q^{22} t^{2} - q^{22} t - 2 \, q^{21} t^{2} - q^{20} t^{3} - 21 \, q^{21} t - 5 \, q^{20} t^{2} + 6 \, q^{19} t^{3} + 18 \, q^{20} t + 23 \, q^{19} t^{2} + 12 \, q^{18} t^{3} + 3 \, q^{17} t^{4} - 6 \, q^{19} t + 17 \, q^{18} t^{2} - 10 \, q^{17} t^{3} - q^{16} t^{4} + q^{18} t + 27 \, q^{17} t^{2} + q^{16} t^{3} - 52 \, q^{15} t^{4} - 5 \, q^{14} t^{5} - 42 \, q^{16} t^{2} - 119 \, q^{15} t^{3} + 42 \, q^{14} t^{4} + 11 \, q^{13} t^{5} + 13 \, q^{15} t^{2} + 40 \, q^{14} t^{3} + 43 \, q^{13} t^{4} + 9 \, q^{12} t^{5} - q^{11} t^{6} - q^{14} t^{2} + 9 \, q^{13} t^{3} + 43 \, q^{12} t^{4} + 40 \, q^{11} t^{5} + 13 \, q^{10} t^{6} + 11 \, q^{12} t^{3} + 42 \, q^{11} t^{4} - 119 \, q^{10} t^{5} - 42 \, q^{9} t^{6} - 5 \, q^{11} t^{3} - 52 \, q^{10} t^{4} + q^{9} t^{5} + 27 \, q^{8} t^{6} + q^{7} t^{7} - q^{9} t^{4} - 10 \, q^{8} t^{5} + 17 \, q^{7} t^{6} - 6 \, q^{6} t^{7} + 3 \, q^{8} t^{4} + 12 \, q^{7} t^{5} + 23 \, q^{6} t^{6} + 18 \, q^{5} t^{7} + 6 \, q^{6} t^{5} - 5 \, q^{5} t^{6} - 21 \, q^{4} t^{7} - q^{5} t^{5} - 2 \, q^{4} t^{6} - q^{3} t^{7} - 2 \, q^{3} t^{6} + q t^{7} + t^{8}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 6], [1, 5], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{21} + q^{20} t - 2 \, q^{18} t^{2} - q^{18} t - 2 \, q^{17} t^{2} - q^{16} t^{3} - 22 \, q^{17} t - 4 \, q^{16} t^{2} + 6 \, q^{15} t^{3} + 22 \, q^{16} t + 29 \, q^{15} t^{2} + 10 \, q^{14} t^{3} + 3 \, q^{13} t^{4} - 8 \, q^{15} t + 10 \, q^{14} t^{2} - 18 \, q^{13} t^{3} - 2 \, q^{12} t^{4} + q^{14} t - q^{13} t^{2} - 9 \, q^{12} t^{3} - 44 \, q^{11} t^{4} - 5 \, q^{10} t^{5} - 14 \, q^{12} t^{2} - 66 \, q^{11} t^{3} + 66 \, q^{10} t^{4} + 14 \, q^{9} t^{5} + 5 \, q^{11} t^{2} + 44 \, q^{10} t^{3} + 9 \, q^{9} t^{4} + q^{8} t^{5} - q^{7} t^{6} + 2 \, q^{9} t^{3} + 18 \, q^{8} t^{4} - 10 \, q^{7} t^{5} + 8 \, q^{6} t^{6} - 3 \, q^{8} t^{3} - 10 \, q^{7} t^{4} - 29 \, q^{6} t^{5} - 22 \, q^{5} t^{6} - 6 \, q^{6} t^{4} + 4 \, q^{5} t^{5} + 22 \, q^{4} t^{6} + q^{5} t^{4} + 2 \, q^{4} t^{5} + q^{3} t^{6} + 2 \, q^{3} t^{5} - q t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 6], [1, 5], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{21} + 2 \, q^{20} t - q^{19} t^{2} + 3 \, q^{19} t - 6 \, q^{18} t^{2} - 3 \, q^{17} t^{3} - 18 \, q^{18} t - 5 \, q^{17} t^{2} + 18 \, q^{16} t^{3} + 3 \, q^{15} t^{4} - 6 \, q^{17} t + 4 \, q^{16} t^{2} + 11 \, q^{15} t^{3} + 6 \, q^{14} t^{4} - q^{13} t^{5} + 18 \, q^{16} t + 87 \, q^{15} t^{2} - 2 \, q^{14} t^{3} - 65 \, q^{13} t^{4} - 8 \, q^{12} t^{5} - 8 \, q^{15} t - 48 \, q^{14} t^{2} - 79 \, q^{13} t^{3} + 14 \, q^{12} t^{4} + 13 \, q^{11} t^{5} + 2 \, q^{10} t^{6} + q^{14} t - 6 \, q^{13} t^{2} - 77 \, q^{12} t^{3} + 77 \, q^{11} t^{4} + 72 \, q^{10} t^{5} + q^{9} t^{6} + q^{12} t^{2} + 72 \, q^{11} t^{3} + 77 \, q^{10} t^{4} - 77 \, q^{9} t^{5} - 6 \, q^{8} t^{6} + q^{7} t^{7} + 2 \, q^{11} t^{2} + 13 \, q^{10} t^{3} + 14 \, q^{9} t^{4} - 79 \, q^{8} t^{5} - 48 \, q^{7} t^{6} - 8 \, q^{6} t^{7} - 8 \, q^{9} t^{3} - 65 \, q^{8} t^{4} - 2 \, q^{7} t^{5} + 87 \, q^{6} t^{6} + 18 \, q^{5} t^{7} - q^{8} t^{3} + 6 \, q^{7} t^{4} + 11 \, q^{6} t^{5} + 4 \, q^{5} t^{6} - 6 \, q^{4} t^{7} + 3 \, q^{6} t^{4} + 18 \, q^{5} t^{5} - 5 \, q^{4} t^{6} - 18 \, q^{3} t^{7} - 3 \, q^{4} t^{5} - 6 \, q^{3} t^{6} + 3 \, q^{2} t^{7} - q^{2} t^{6} + 2 \, q t^{7} + t^{8}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 5], [1, 6], [2, 4], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{19} + 2 \, q^{18} t - q^{17} t^{2} + 4 \, q^{17} t - 4 \, q^{16} t^{2} - 2 \, q^{15} t^{3} - 14 \, q^{16} t - 7 \, q^{15} t^{2} + 6 \, q^{14} t^{3} + q^{13} t^{4} - 16 \, q^{15} t + 22 \, q^{13} t^{3} + 8 \, q^{12} t^{4} + 26 \, q^{14} t + 61 \, q^{13} t^{2} - 2 \, q^{12} t^{3} - 29 \, q^{11} t^{4} - 2 \, q^{10} t^{5} - 10 \, q^{13} t - 4 \, q^{12} t^{2} - 50 \, q^{11} t^{3} - 26 \, q^{10} t^{4} - 6 \, q^{9} t^{5} + q^{12} t - 32 \, q^{11} t^{2} - 55 \, q^{10} t^{3} + 55 \, q^{9} t^{4} + 32 \, q^{8} t^{5} - q^{7} t^{6} + 6 \, q^{10} t^{2} + 26 \, q^{9} t^{3} + 50 \, q^{8} t^{4} + 4 \, q^{7} t^{5} + 10 \, q^{6} t^{6} + 2 \, q^{9} t^{2} + 29 \, q^{8} t^{3} + 2 \, q^{7} t^{4} - 61 \, q^{6} t^{5} - 26 \, q^{5} t^{6} - 8 \, q^{7} t^{3} - 22 \, q^{6} t^{4} + 16 \, q^{4} t^{6} - q^{6} t^{3} - 6 \, q^{5} t^{4} + 7 \, q^{4} t^{5} + 14 \, q^{3} t^{6} + 2 \, q^{4} t^{4} + 4 \, q^{3} t^{5} - 4 \, q^{2} t^{6} + q^{2} t^{5} - 2 \, q t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 5], [1, 6], [2, 4], [2, 5], [3, 4], [3, 5], [3, 6], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{19} + 2 \, q^{18} t - q^{17} t^{2} - 4 \, q^{16} t^{2} - 2 \, q^{15} t^{3} - 4 \, q^{16} t - q^{15} t^{2} + 8 \, q^{14} t^{3} + q^{13} t^{4} - 24 \, q^{15} t - 6 \, q^{14} t^{2} + 12 \, q^{13} t^{3} + 8 \, q^{12} t^{4} + 28 \, q^{14} t + 55 \, q^{13} t^{2} + 6 \, q^{12} t^{3} - 37 \, q^{11} t^{4} - 2 \, q^{10} t^{5} - 10 \, q^{13} t - 62 \, q^{11} t^{3} + 8 \, q^{10} t^{4} - 4 \, q^{9} t^{5} + q^{12} t - 28 \, q^{11} t^{2} - 17 \, q^{10} t^{3} + 17 \, q^{9} t^{4} + 28 \, q^{8} t^{5} - q^{7} t^{6} + 4 \, q^{10} t^{2} - 8 \, q^{9} t^{3} + 62 \, q^{8} t^{4} + 10 \, q^{6} t^{6} + 2 \, q^{9} t^{2} + 37 \, q^{8} t^{3} - 6 \, q^{7} t^{4} - 55 \, q^{6} t^{5} - 28 \, q^{5} t^{6} - 8 \, q^{7} t^{3} - 12 \, q^{6} t^{4} + 6 \, q^{5} t^{5} + 24 \, q^{4} t^{6} - q^{6} t^{3} - 8 \, q^{5} t^{4} + q^{4} t^{5} + 4 \, q^{3} t^{6} + 2 \, q^{4} t^{4} + 4 \, q^{3} t^{5} + q^{2} t^{5} - 2 \, q t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 5], [1, 6], [2, 4], [2, 5], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + 2 \, q^{15} t - q^{14} t^{2} + 2 \, q^{14} t - 4 \, q^{13} t^{2} - 11 \, q^{13} t - 5 \, q^{12} t^{2} - q^{11} t^{3} + 3 \, q^{10} t^{4} - 12 \, q^{12} t + 20 \, q^{11} t^{2} + 20 \, q^{10} t^{3} - 4 \, q^{9} t^{4} + 20 \, q^{11} t + 8 \, q^{10} t^{2} - 3 \, q^{9} t^{3} - 14 \, q^{8} t^{4} + q^{7} t^{5} - 8 \, q^{10} t + 12 \, q^{9} t^{2} - 52 \, q^{8} t^{3} + 12 \, q^{7} t^{4} - 8 \, q^{6} t^{5} + q^{9} t - 14 \, q^{8} t^{2} - 3 \, q^{7} t^{3} + 8 \, q^{6} t^{4} + 20 \, q^{5} t^{5} - 4 \, q^{7} t^{2} + 20 \, q^{6} t^{3} + 20 \, q^{5} t^{4} - 12 \, q^{4} t^{5} + 3 \, q^{6} t^{2} - q^{5} t^{3} - 5 \, q^{4} t^{4} - 11 \, q^{3} t^{5} - 4 \, q^{3} t^{4} + 2 \, q^{2} t^{5} - q^{2} t^{4} + 2 \, q t^{5} + t^{6}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 5], [1, 5], [1, 6], [2, 4], [2, 6], [3, 4], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + q^{14} t + 6 \, q^{13} t - 2 \, q^{12} t^{2} - 13 \, q^{12} t - 3 \, q^{10} t^{3} - 12 \, q^{11} t - 6 \, q^{10} t^{2} + 2 \, q^{9} t^{3} + 20 \, q^{10} t + 8 \, q^{9} t^{2} + 27 \, q^{8} t^{3} - q^{7} t^{4} - 8 \, q^{9} t + 36 \, q^{8} t^{2} - 36 \, q^{7} t^{3} + 8 \, q^{6} t^{4} + q^{8} t - 27 \, q^{7} t^{2} - 8 \, q^{6} t^{3} - 20 \, q^{5} t^{4} - 2 \, q^{6} t^{2} + 6 \, q^{5} t^{3} + 12 \, q^{4} t^{4} + 3 \, q^{5} t^{2} + 13 \, q^{3} t^{4} + 2 \, q^{3} t^{3} - 6 \, q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 5], [0, 6], [1, 5], [1, 6], [2, 4], [2, 6], [3, 4], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{19} + q^{18} t + 4 \, q^{17} t - 4 \, q^{16} t^{2} - 13 \, q^{16} t - 5 \, q^{15} t^{2} - 4 \, q^{14} t^{3} - 12 \, q^{15} t - 6 \, q^{14} t^{2} + 32 \, q^{13} t^{3} + 6 \, q^{12} t^{4} + 20 \, q^{14} t + 76 \, q^{13} t^{2} - 14 \, q^{12} t^{3} - 9 \, q^{11} t^{4} - 3 \, q^{10} t^{5} - 8 \, q^{13} t - 40 \, q^{12} t^{2} - 26 \, q^{11} t^{3} - 56 \, q^{10} t^{4} + 6 \, q^{9} t^{5} + q^{12} t + 3 \, q^{11} t^{2} - 82 \, q^{10} t^{3} + 82 \, q^{9} t^{4} - 3 \, q^{8} t^{5} - q^{7} t^{6} - 6 \, q^{10} t^{2} + 56 \, q^{9} t^{3} + 26 \, q^{8} t^{4} + 40 \, q^{7} t^{5} + 8 \, q^{6} t^{6} + 3 \, q^{9} t^{2} + 9 \, q^{8} t^{3} + 14 \, q^{7} t^{4} - 76 \, q^{6} t^{5} - 20 \, q^{5} t^{6} - 6 \, q^{7} t^{3} - 32 \, q^{6} t^{4} + 6 \, q^{5} t^{5} + 12 \, q^{4} t^{6} + 4 \, q^{5} t^{4} + 5 \, q^{4} t^{5} + 13 \, q^{3} t^{6} + 4 \, q^{3} t^{5} - 4 \, q^{2} t^{6} - q t^{6} - t^{7}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{4} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 5], [1, 5], [1, 6], [2, 4], [2, 6], [3, 4], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{22} + 8 \, q^{20} t - 11 \, q^{19} t - 19 \, q^{18} t - 40 \, q^{17} t^{2} - 4 \, q^{16} t^{3} + 18 \, q^{17} t + 54 \, q^{16} t^{2} + 2 \, q^{15} t^{3} + 3 \, q^{14} t^{4} - 2 \, q^{16} t + 53 \, q^{15} t^{2} + 124 \, q^{14} t^{3} - q^{15} t - 44 \, q^{14} t^{2} - 244 \, q^{13} t^{3} - 38 \, q^{12} t^{4} + q^{11} t^{5} - 10 \, q^{13} t^{2} + 102 \, q^{12} t^{3} + 50 \, q^{11} t^{4} - 9 \, q^{10} t^{5} + 9 \, q^{12} t^{2} - 50 \, q^{11} t^{3} - 102 \, q^{10} t^{4} + 10 \, q^{9} t^{5} - q^{11} t^{2} + 38 \, q^{10} t^{3} + 244 \, q^{9} t^{4} + 44 \, q^{8} t^{5} + q^{7} t^{6} - 124 \, q^{8} t^{4} - 53 \, q^{7} t^{5} + 2 \, q^{6} t^{6} - 3 \, q^{8} t^{3} - 2 \, q^{7} t^{4} - 54 \, q^{6} t^{5} - 18 \, q^{5} t^{6} + 4 \, q^{6} t^{4} + 40 \, q^{5} t^{5} + 19 \, q^{4} t^{6} + 11 \, q^{3} t^{6} - 8 \, q^{2} t^{6} - t^{7}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 5], [0, 6], [1, 5], [1, 6], [2, 4], [2, 6], [3, 4], [3, 6], [4, 5]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + 8 \, q^{16} t - 13 \, q^{15} t - 16 \, q^{14} t - 38 \, q^{13} t^{2} - 4 \, q^{12} t^{3} + 22 \, q^{13} t + 74 \, q^{12} t^{2} + 4 \, q^{11} t^{3} + 3 \, q^{10} t^{4} - 8 \, q^{12} t + 92 \, q^{10} t^{3} - 2 \, q^{9} t^{4} + q^{11} t - 22 \, q^{10} t^{2} - 204 \, q^{9} t^{3} - 22 \, q^{8} t^{4} + q^{7} t^{5} - 2 \, q^{9} t^{2} + 92 \, q^{8} t^{3} - 8 \, q^{6} t^{5} + 3 \, q^{8} t^{2} + 4 \, q^{7} t^{3} + 74 \, q^{6} t^{4} + 22 \, q^{5} t^{5} - 4 \, q^{6} t^{3} - 38 \, q^{5} t^{4} - 16 \, q^{4} t^{5} - 13 \, q^{3} t^{5} + 8 \, q^{2} t^{5} + t^{6}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 5], [0, 6], [1, 5], [1, 6], [2, 4], [2, 6], [3, 4], [3, 6], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + 8 \, q^{16} t - 15 \, q^{15} t - 12 \, q^{14} t - 36 \, q^{13} t^{2} - 4 \, q^{12} t^{3} + 20 \, q^{13} t + 78 \, q^{12} t^{2} + 6 \, q^{11} t^{3} + 3 \, q^{10} t^{4} - 8 \, q^{12} t - 16 \, q^{11} t^{2} + 72 \, q^{10} t^{3} - 4 \, q^{9} t^{4} + q^{11} t - 10 \, q^{10} t^{2} - 168 \, q^{9} t^{3} - 10 \, q^{8} t^{4} + q^{7} t^{5} - 4 \, q^{9} t^{2} + 72 \, q^{8} t^{3} - 16 \, q^{7} t^{4} - 8 \, q^{6} t^{5} + 3 \, q^{8} t^{2} + 6 \, q^{7} t^{3} + 78 \, q^{6} t^{4} + 20 \, q^{5} t^{5} - 4 \, q^{6} t^{3} - 36 \, q^{5} t^{4} - 12 \, q^{4} t^{5} - 15 \, q^{3} t^{5} + 8 \, q^{2} t^{5} + t^{6}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 5], [0, 6], [1, 5], [1, 6], [2, 4], [2, 6], [3, 4], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{19} + 4 \, q^{18} t + q^{17} t^{2} - 6 \, q^{17} t - 8 \, q^{16} t^{2} - 2 \, q^{15} t^{3} - 9 \, q^{15} t^{2} + 8 \, q^{14} t^{3} + q^{13} t^{4} - 20 \, q^{15} t + 18 \, q^{14} t^{2} + 2 \, q^{12} t^{4} + 22 \, q^{14} t + 51 \, q^{13} t^{2} + 52 \, q^{12} t^{3} - 11 \, q^{11} t^{4} - 4 \, q^{10} t^{5} - 8 \, q^{13} t - 36 \, q^{12} t^{2} - 120 \, q^{11} t^{3} - 24 \, q^{10} t^{4} + 12 \, q^{9} t^{5} + q^{12} t + 12 \, q^{11} t^{2} - 5 \, q^{10} t^{3} + 5 \, q^{9} t^{4} - 12 \, q^{8} t^{5} - q^{7} t^{6} - 12 \, q^{10} t^{2} + 24 \, q^{9} t^{3} + 120 \, q^{8} t^{4} + 36 \, q^{7} t^{5} + 8 \, q^{6} t^{6} + 4 \, q^{9} t^{2} + 11 \, q^{8} t^{3} - 52 \, q^{7} t^{4} - 51 \, q^{6} t^{5} - 22 \, q^{5} t^{6} - 2 \, q^{7} t^{3} - 18 \, q^{5} t^{5} + 20 \, q^{4} t^{6} - q^{6} t^{3} - 8 \, q^{5} t^{4} + 9 \, q^{4} t^{5} + 2 \, q^{4} t^{4} + 8 \, q^{3} t^{5} + 6 \, q^{2} t^{6} - q^{2} t^{5} - 4 \, q t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 5], [1, 5], [2, 4], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + 8 \, q^{16} t - 13 \, q^{15} t - 2 \, q^{14} t^{2} - 16 \, q^{14} t - 30 \, q^{13} t^{2} - 6 \, q^{12} t^{3} + 22 \, q^{13} t + 62 \, q^{12} t^{2} + 20 \, q^{11} t^{3} + 3 \, q^{10} t^{4} - 8 \, q^{12} t + 8 \, q^{11} t^{2} + 46 \, q^{10} t^{3} - 2 \, q^{9} t^{4} + q^{11} t - 24 \, q^{10} t^{2} - 140 \, q^{9} t^{3} - 24 \, q^{8} t^{4} + q^{7} t^{5} - 2 \, q^{9} t^{2} + 46 \, q^{8} t^{3} + 8 \, q^{7} t^{4} - 8 \, q^{6} t^{5} + 3 \, q^{8} t^{2} + 20 \, q^{7} t^{3} + 62 \, q^{6} t^{4} + 22 \, q^{5} t^{5} - 6 \, q^{6} t^{3} - 30 \, q^{5} t^{4} - 16 \, q^{4} t^{5} - 2 \, q^{4} t^{4} - 13 \, q^{3} t^{5} + 8 \, q^{2} t^{5} + t^{6}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 5], [0, 6], [1, 5], [1, 6], [2, 4], [2, 6], [3, 4], [3, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + 7 \, q^{14} t - 9 \, q^{13} t + 3 \, q^{12} t^{2} - 18 \, q^{12} t - 23 \, q^{11} t^{2} - 3 \, q^{10} t^{3} + 22 \, q^{11} t + 16 \, q^{10} t^{2} + q^{9} t^{3} - 8 \, q^{10} t + 46 \, q^{9} t^{2} + 34 \, q^{8} t^{3} - q^{7} t^{4} + q^{9} t - 34 \, q^{8} t^{2} - 46 \, q^{7} t^{3} + 8 \, q^{6} t^{4} - q^{7} t^{2} - 16 \, q^{6} t^{3} - 22 \, q^{5} t^{4} + 3 \, q^{6} t^{2} + 23 \, q^{5} t^{3} + 18 \, q^{4} t^{4} - 3 \, q^{4} t^{3} + 9 \, q^{3} t^{4} - 7 \, q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 5], [0, 6], [1, 5], [1, 6], [2, 4], [2, 6], [3, 4], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{19} + 5 \, q^{17} t - 6 \, q^{16} t - q^{15} t^{2} - 20 \, q^{15} t - 14 \, q^{14} t^{2} - q^{13} t^{3} + 22 \, q^{14} t + 17 \, q^{13} t^{2} - 4 \, q^{12} t^{3} - 8 \, q^{13} t + 38 \, q^{12} t^{2} + 45 \, q^{11} t^{3} + 4 \, q^{10} t^{4} + q^{12} t - 22 \, q^{11} t^{2} - 50 \, q^{10} t^{3} - 7 \, q^{9} t^{4} - 7 \, q^{10} t^{2} - 50 \, q^{9} t^{3} - 22 \, q^{8} t^{4} + q^{7} t^{5} + 4 \, q^{9} t^{2} + 45 \, q^{8} t^{3} + 38 \, q^{7} t^{4} - 8 \, q^{6} t^{5} - 4 \, q^{7} t^{3} + 17 \, q^{6} t^{4} + 22 \, q^{5} t^{5} - q^{6} t^{3} - 14 \, q^{5} t^{4} - 20 \, q^{4} t^{5} - q^{4} t^{4} - 6 \, q^{3} t^{5} + 5 \, q^{2} t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 5], [0, 6], [1, 5], [1, 6], [2, 4], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{25} + 4 \, q^{23} t - 3 \, q^{22} t + q^{21} t^{2} - 22 \, q^{21} t - 12 \, q^{20} t^{2} + 23 \, q^{20} t + q^{19} t^{2} - 3 \, q^{18} t^{3} - 12 \, q^{19} t + 40 \, q^{18} t^{2} + 4 \, q^{17} t^{3} + 3 \, q^{18} t - 11 \, q^{17} t^{2} + 56 \, q^{16} t^{3} + 5 \, q^{15} t^{4} + 18 \, q^{16} t^{2} - 112 \, q^{15} t^{3} - 12 \, q^{14} t^{4} - 23 \, q^{15} t^{2} + 38 \, q^{14} t^{3} - 19 \, q^{13} t^{4} + q^{12} t^{5} + 8 \, q^{14} t^{2} - 44 \, q^{13} t^{3} + 44 \, q^{12} t^{4} - 8 \, q^{11} t^{5} - q^{13} t^{2} + 19 \, q^{12} t^{3} - 38 \, q^{11} t^{4} + 23 \, q^{10} t^{5} + 12 \, q^{11} t^{3} + 112 \, q^{10} t^{4} - 18 \, q^{9} t^{5} - 5 \, q^{10} t^{3} - 56 \, q^{9} t^{4} + 11 \, q^{8} t^{5} - 3 \, q^{7} t^{6} - 4 \, q^{8} t^{4} - 40 \, q^{7} t^{5} + 12 \, q^{6} t^{6} + 3 \, q^{7} t^{4} - q^{6} t^{5} - 23 \, q^{5} t^{6} + 12 \, q^{5} t^{5} + 22 \, q^{4} t^{6} - q^{4} t^{5} + 3 \, q^{3} t^{6} - 4 \, q^{2} t^{6} - t^{7}}{{\left(q^{5} - t\right)} {\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 5], [0, 6], [1, 5], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + 4 \, q^{18} t - 3 \, q^{17} t + q^{16} t^{2} - 22 \, q^{16} t - 12 \, q^{15} t^{2} + 22 \, q^{15} t + q^{14} t^{2} - 3 \, q^{13} t^{3} - 8 \, q^{14} t + 48 \, q^{13} t^{2} + 4 \, q^{12} t^{3} + q^{13} t - 16 \, q^{12} t^{2} + 55 \, q^{11} t^{3} + 5 \, q^{10} t^{4} - 12 \, q^{11} t^{2} - 132 \, q^{10} t^{3} - 12 \, q^{9} t^{4} + 5 \, q^{10} t^{2} + 55 \, q^{9} t^{3} - 16 \, q^{8} t^{4} + q^{7} t^{5} + 4 \, q^{8} t^{3} + 48 \, q^{7} t^{4} - 8 \, q^{6} t^{5} - 3 \, q^{7} t^{3} + q^{6} t^{4} + 22 \, q^{5} t^{5} - 12 \, q^{5} t^{4} - 22 \, q^{4} t^{5} + q^{4} t^{4} - 3 \, q^{3} t^{5} + 4 \, q^{2} t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 5], [0, 6], [1, 5], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{16} t - 3 \, q^{15} t^{2} - 3 \, q^{14} t^{3} + q^{13} t^{4} + q^{16} + 3 \, q^{15} t - 4 \, q^{14} t^{2} + 16 \, q^{13} t^{3} + 7 \, q^{12} t^{4} - 3 \, q^{11} t^{5} - 7 \, q^{14} t - 9 \, q^{13} t^{2} + 22 \, q^{12} t^{3} - 22 \, q^{11} t^{4} - 9 \, q^{10} t^{5} + 5 \, q^{9} t^{6} - 16 \, q^{13} t + 23 \, q^{12} t^{2} - 39 \, q^{11} t^{3} - 66 \, q^{10} t^{4} + 30 \, q^{9} t^{5} - 13 \, q^{8} t^{6} + q^{7} t^{7} + 8 \, q^{12} t + 80 \, q^{11} t^{2} + 9 \, q^{10} t^{3} + 85 \, q^{9} t^{4} + 81 \, q^{8} t^{5} + 23 \, q^{7} t^{6} - 6 \, q^{6} t^{7} + 8 \, q^{11} t - 74 \, q^{10} t^{2} - 160 \, q^{9} t^{3} + 60 \, q^{8} t^{4} - 160 \, q^{7} t^{5} - 74 \, q^{6} t^{6} + 8 \, q^{5} t^{7} - 6 \, q^{10} t + 23 \, q^{9} t^{2} + 81 \, q^{8} t^{3} + 85 \, q^{7} t^{4} + 9 \, q^{6} t^{5} + 80 \, q^{5} t^{6} + 8 \, q^{4} t^{7} + q^{9} t - 13 \, q^{8} t^{2} + 30 \, q^{7} t^{3} - 66 \, q^{6} t^{4} - 39 \, q^{5} t^{5} + 23 \, q^{4} t^{6} - 16 \, q^{3} t^{7} + 5 \, q^{7} t^{2} - 9 \, q^{6} t^{3} - 22 \, q^{5} t^{4} + 22 \, q^{4} t^{5} - 9 \, q^{3} t^{6} - 7 \, q^{2} t^{7} - 3 \, q^{5} t^{3} + 7 \, q^{4} t^{4} + 16 \, q^{3} t^{5} - 4 \, q^{2} t^{6} + 3 \, q t^{7} + t^{8} + q^{3} t^{4} - 3 \, q^{2} t^{5} - 3 \, q t^{6} + t^{7}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[1, 4], [2, 5], [2, 6], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{15} t - 2 \, q^{14} t^{2} - q^{13} t^{3} + q^{15} - 2 \, q^{13} t^{2} + 4 \, q^{12} t^{3} + 3 \, q^{11} t^{4} + 3 \, q^{13} t - 8 \, q^{12} t^{2} + 12 \, q^{11} t^{3} + 4 \, q^{10} t^{4} - 5 \, q^{9} t^{5} - 24 \, q^{12} t + 23 \, q^{11} t^{2} - 2 \, q^{10} t^{3} - 48 \, q^{9} t^{4} + 8 \, q^{8} t^{5} - q^{7} t^{6} + 10 \, q^{11} t + 18 \, q^{10} t^{2} - 19 \, q^{9} t^{3} + 28 \, q^{8} t^{4} + 13 \, q^{7} t^{5} + 6 \, q^{6} t^{6} + 8 \, q^{10} t + 8 \, q^{9} t^{2} - 42 \, q^{8} t^{3} + 42 \, q^{7} t^{4} - 8 \, q^{6} t^{5} - 8 \, q^{5} t^{6} - 6 \, q^{9} t - 13 \, q^{8} t^{2} - 28 \, q^{7} t^{3} + 19 \, q^{6} t^{4} - 18 \, q^{5} t^{5} - 10 \, q^{4} t^{6} + q^{8} t - 8 \, q^{7} t^{2} + 48 \, q^{6} t^{3} + 2 \, q^{5} t^{4} - 23 \, q^{4} t^{5} + 24 \, q^{3} t^{6} + 5 \, q^{6} t^{2} - 4 \, q^{5} t^{3} - 12 \, q^{4} t^{4} + 8 \, q^{3} t^{5} - 3 \, q^{2} t^{6} - 3 \, q^{4} t^{3} - 4 \, q^{3} t^{4} + 2 \, q^{2} t^{5} - t^{7} + q^{2} t^{4} + 2 \, q t^{5} - t^{6}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[1, 4], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{19} + 2 \, q^{18} t - q^{17} t^{2} + 8 \, q^{17} t - 4 \, q^{16} t^{2} - 6 \, q^{15} t^{3} - 28 \, q^{16} t + 5 \, q^{15} t^{2} + 10 \, q^{14} t^{3} - q^{13} t^{4} + 2 \, q^{15} t - 56 \, q^{14} t^{2} + 48 \, q^{13} t^{3} + 20 \, q^{12} t^{4} + 16 \, q^{14} t + 155 \, q^{13} t^{2} - 84 \, q^{12} t^{3} - 35 \, q^{11} t^{4} + 2 \, q^{10} t^{5} - 8 \, q^{13} t - 66 \, q^{12} t^{2} + 78 \, q^{11} t^{3} - 80 \, q^{10} t^{4} - 20 \, q^{9} t^{5} + q^{12} t - 30 \, q^{11} t^{2} - 177 \, q^{10} t^{3} + 177 \, q^{9} t^{4} + 30 \, q^{8} t^{5} - q^{7} t^{6} + 20 \, q^{10} t^{2} + 80 \, q^{9} t^{3} - 78 \, q^{8} t^{4} + 66 \, q^{7} t^{5} + 8 \, q^{6} t^{6} - 2 \, q^{9} t^{2} + 35 \, q^{8} t^{3} + 84 \, q^{7} t^{4} - 155 \, q^{6} t^{5} - 16 \, q^{5} t^{6} - 20 \, q^{7} t^{3} - 48 \, q^{6} t^{4} + 56 \, q^{5} t^{5} - 2 \, q^{4} t^{6} + q^{6} t^{3} - 10 \, q^{5} t^{4} - 5 \, q^{4} t^{5} + 28 \, q^{3} t^{6} + 6 \, q^{4} t^{4} + 4 \, q^{3} t^{5} - 8 \, q^{2} t^{6} + q^{2} t^{5} - 2 \, q t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 6], [1, 4], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{13} + 2 \, q^{12} t - q^{11} t^{2} + 8 \, q^{11} t - 4 \, q^{10} t^{2} - 6 \, q^{9} t^{3} - 30 \, q^{10} t + 9 \, q^{9} t^{2} + 10 \, q^{8} t^{3} - q^{7} t^{4} + 12 \, q^{9} t - 28 \, q^{8} t^{2} + 32 \, q^{7} t^{3} + 6 \, q^{6} t^{4} + 8 \, q^{8} t + 70 \, q^{7} t^{2} - 70 \, q^{6} t^{3} - 8 \, q^{5} t^{4} - 6 \, q^{7} t - 32 \, q^{6} t^{2} + 28 \, q^{5} t^{3} - 12 \, q^{4} t^{4} + q^{6} t - 10 \, q^{5} t^{2} - 9 \, q^{4} t^{3} + 30 \, q^{3} t^{4} + 6 \, q^{4} t^{2} + 4 \, q^{3} t^{3} - 8 \, q^{2} t^{4} + q^{2} t^{3} - 2 \, q t^{4} - t^{5}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 6], [1, 4], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + 2 \, q^{19} t - q^{18} t^{2} + 6 \, q^{18} t - 8 \, q^{17} t^{2} - 4 \, q^{16} t^{3} - 27 \, q^{17} t - 12 \, q^{16} t^{2} + 21 \, q^{15} t^{3} + 12 \, q^{14} t^{4} + 2 \, q^{16} t + 22 \, q^{15} t^{2} + 42 \, q^{14} t^{3} - 26 \, q^{13} t^{4} - 6 \, q^{12} t^{5} + 16 \, q^{15} t + 102 \, q^{14} t^{2} - 50 \, q^{13} t^{3} - 55 \, q^{12} t^{4} - 8 \, q^{11} t^{5} + q^{10} t^{6} - 8 \, q^{14} t - 88 \, q^{13} t^{2} - 136 \, q^{12} t^{3} + 2 \, q^{11} t^{4} + 72 \, q^{10} t^{5} + 2 \, q^{9} t^{6} + q^{13} t + 10 \, q^{12} t^{2} + 13 \, q^{11} t^{3} + 204 \, q^{10} t^{4} + 13 \, q^{9} t^{5} + 10 \, q^{8} t^{6} + q^{7} t^{7} + 2 \, q^{11} t^{2} + 72 \, q^{10} t^{3} + 2 \, q^{9} t^{4} - 136 \, q^{8} t^{5} - 88 \, q^{7} t^{6} - 8 \, q^{6} t^{7} + q^{10} t^{2} - 8 \, q^{9} t^{3} - 55 \, q^{8} t^{4} - 50 \, q^{7} t^{5} + 102 \, q^{6} t^{6} + 16 \, q^{5} t^{7} - 6 \, q^{8} t^{3} - 26 \, q^{7} t^{4} + 42 \, q^{6} t^{5} + 22 \, q^{5} t^{6} + 2 \, q^{4} t^{7} + 12 \, q^{6} t^{4} + 21 \, q^{5} t^{5} - 12 \, q^{4} t^{6} - 27 \, q^{3} t^{7} - 4 \, q^{4} t^{5} - 8 \, q^{3} t^{6} + 6 \, q^{2} t^{7} - q^{2} t^{6} + 2 \, q t^{7} + t^{8}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{4} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 6], [1, 4], [2, 5], [2, 6], [3, 4], [3, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{19} + 2 \, q^{18} t - q^{17} t^{2} - 4 \, q^{16} t^{2} - 2 \, q^{15} t^{3} - 8 \, q^{16} t - q^{15} t^{2} + 10 \, q^{14} t^{3} + q^{13} t^{4} - 14 \, q^{15} t + 6 \, q^{14} t^{2} + 4 \, q^{13} t^{3} + 6 \, q^{12} t^{4} + 20 \, q^{14} t + 31 \, q^{13} t^{2} + 4 \, q^{12} t^{3} - 31 \, q^{11} t^{4} - 2 \, q^{10} t^{5} - 8 \, q^{13} t + 10 \, q^{12} t^{2} - 48 \, q^{11} t^{3} + 8 \, q^{10} t^{4} - 2 \, q^{9} t^{5} + q^{12} t - 24 \, q^{11} t^{2} - 19 \, q^{10} t^{3} + 19 \, q^{9} t^{4} + 24 \, q^{8} t^{5} - q^{7} t^{6} + 2 \, q^{10} t^{2} - 8 \, q^{9} t^{3} + 48 \, q^{8} t^{4} - 10 \, q^{7} t^{5} + 8 \, q^{6} t^{6} + 2 \, q^{9} t^{2} + 31 \, q^{8} t^{3} - 4 \, q^{7} t^{4} - 31 \, q^{6} t^{5} - 20 \, q^{5} t^{6} - 6 \, q^{7} t^{3} - 4 \, q^{6} t^{4} - 6 \, q^{5} t^{5} + 14 \, q^{4} t^{6} - q^{6} t^{3} - 10 \, q^{5} t^{4} + q^{4} t^{5} + 8 \, q^{3} t^{6} + 2 \, q^{4} t^{4} + 4 \, q^{3} t^{5} + q^{2} t^{5} - 2 \, q t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 6], [1, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{23} + q^{22} t + q^{21} t - 3 \, q^{20} t^{2} + 3 \, q^{20} t - 4 \, q^{19} t^{2} - q^{18} t^{3} - 40 \, q^{19} t - 25 \, q^{18} t^{2} + 12 \, q^{17} t^{3} + q^{16} t^{4} + 38 \, q^{18} t + 81 \, q^{17} t^{2} + 40 \, q^{16} t^{3} + 9 \, q^{15} t^{4} - 12 \, q^{17} t + 14 \, q^{16} t^{2} - 43 \, q^{15} t^{3} - 56 \, q^{14} t^{4} - 5 \, q^{13} t^{5} + q^{16} t - 37 \, q^{15} t^{2} - 97 \, q^{14} t^{3} - 26 \, q^{13} t^{4} - 7 \, q^{12} t^{5} - 3 \, q^{14} t^{2} - 41 \, q^{13} t^{3} + 107 \, q^{12} t^{4} + 86 \, q^{11} t^{5} + 5 \, q^{10} t^{6} + 5 \, q^{13} t^{2} + 86 \, q^{12} t^{3} + 107 \, q^{11} t^{4} - 41 \, q^{10} t^{5} - 3 \, q^{9} t^{6} - 7 \, q^{11} t^{3} - 26 \, q^{10} t^{4} - 97 \, q^{9} t^{5} - 37 \, q^{8} t^{6} + q^{7} t^{7} - 5 \, q^{10} t^{3} - 56 \, q^{9} t^{4} - 43 \, q^{8} t^{5} + 14 \, q^{7} t^{6} - 12 \, q^{6} t^{7} + 9 \, q^{8} t^{4} + 40 \, q^{7} t^{5} + 81 \, q^{6} t^{6} + 38 \, q^{5} t^{7} + q^{7} t^{4} + 12 \, q^{6} t^{5} - 25 \, q^{5} t^{6} - 40 \, q^{4} t^{7} - q^{5} t^{5} - 4 \, q^{4} t^{6} + 3 \, q^{3} t^{7} - 3 \, q^{3} t^{6} + q^{2} t^{7} + q t^{7} + t^{8}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 6], [1, 4], [1, 5], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + q^{19} t + q^{18} t - 3 \, q^{17} t^{2} - 2 \, q^{17} t - 3 \, q^{16} t^{2} - q^{15} t^{3} - 24 \, q^{16} t - 8 \, q^{15} t^{2} + 11 \, q^{14} t^{3} + q^{13} t^{4} + 24 \, q^{15} t + 47 \, q^{14} t^{2} + 15 \, q^{13} t^{3} + 6 \, q^{12} t^{4} - 8 \, q^{14} t + 4 \, q^{13} t^{2} - 23 \, q^{12} t^{3} - 41 \, q^{11} t^{4} - 4 \, q^{10} t^{5} + q^{13} t - 11 \, q^{12} t^{2} - 62 \, q^{11} t^{3} + 9 \, q^{10} t^{4} + 9 \, q^{9} t^{5} - 9 \, q^{11} t^{2} - 9 \, q^{10} t^{3} + 62 \, q^{9} t^{4} + 11 \, q^{8} t^{5} - q^{7} t^{6} + 4 \, q^{10} t^{2} + 41 \, q^{9} t^{3} + 23 \, q^{8} t^{4} - 4 \, q^{7} t^{5} + 8 \, q^{6} t^{6} - 6 \, q^{8} t^{3} - 15 \, q^{7} t^{4} - 47 \, q^{6} t^{5} - 24 \, q^{5} t^{6} - q^{7} t^{3} - 11 \, q^{6} t^{4} + 8 \, q^{5} t^{5} + 24 \, q^{4} t^{6} + q^{5} t^{4} + 3 \, q^{4} t^{5} + 2 \, q^{3} t^{6} + 3 \, q^{3} t^{5} - q^{2} t^{6} - q t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 6], [1, 4], [1, 5], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{22} + q^{21} t + 4 \, q^{20} t - 4 \, q^{19} t^{2} - 12 \, q^{19} t - 10 \, q^{18} t^{2} - 16 \, q^{18} t - 6 \, q^{17} t^{2} + 26 \, q^{16} t^{3} + 2 \, q^{15} t^{4} + 22 \, q^{17} t + 95 \, q^{16} t^{2} + 17 \, q^{15} t^{3} + q^{14} t^{4} - q^{13} t^{5} - 8 \, q^{16} t - 44 \, q^{15} t^{2} - 66 \, q^{14} t^{3} - 88 \, q^{13} t^{4} - 10 \, q^{12} t^{5} + q^{15} t + 3 \, q^{14} t^{2} - 102 \, q^{13} t^{3} + 66 \, q^{12} t^{4} + 42 \, q^{11} t^{5} + 4 \, q^{10} t^{6} - 10 \, q^{13} t^{2} + 38 \, q^{12} t^{3} + 108 \, q^{11} t^{4} + 38 \, q^{10} t^{5} - 10 \, q^{9} t^{6} + 4 \, q^{12} t^{2} + 42 \, q^{11} t^{3} + 66 \, q^{10} t^{4} - 102 \, q^{9} t^{5} + 3 \, q^{8} t^{6} + q^{7} t^{7} - 10 \, q^{10} t^{3} - 88 \, q^{9} t^{4} - 66 \, q^{8} t^{5} - 44 \, q^{7} t^{6} - 8 \, q^{6} t^{7} - q^{9} t^{3} + q^{8} t^{4} + 17 \, q^{7} t^{5} + 95 \, q^{6} t^{6} + 22 \, q^{5} t^{7} + 2 \, q^{7} t^{4} + 26 \, q^{6} t^{5} - 6 \, q^{5} t^{6} - 16 \, q^{4} t^{7} - 10 \, q^{4} t^{6} - 12 \, q^{3} t^{7} - 4 \, q^{3} t^{6} + 4 \, q^{2} t^{7} + q t^{7} + t^{8}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{4} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 5], [1, 4], [1, 6], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{15} t + q^{15} - 2 \, q^{14} t - 4 \, q^{13} t^{2} + 12 \, q^{13} t - 14 \, q^{11} t^{3} - 28 \, q^{12} t + 12 \, q^{11} t^{2} + 62 \, q^{10} t^{3} + 4 \, q^{9} t^{4} + 2 \, q^{11} t - 50 \, q^{10} t^{2} - 64 \, q^{9} t^{3} + 8 \, q^{8} t^{4} + q^{7} t^{5} + 16 \, q^{10} t + 130 \, q^{9} t^{2} + 6 \, q^{8} t^{3} - 85 \, q^{7} t^{4} - 8 \, q^{6} t^{5} - 8 \, q^{9} t - 85 \, q^{8} t^{2} + 6 \, q^{7} t^{3} + 130 \, q^{6} t^{4} + 16 \, q^{5} t^{5} + q^{8} t + 8 \, q^{7} t^{2} - 64 \, q^{6} t^{3} - 50 \, q^{5} t^{4} + 2 \, q^{4} t^{5} + 4 \, q^{6} t^{2} + 62 \, q^{5} t^{3} + 12 \, q^{4} t^{4} - 28 \, q^{3} t^{5} - 14 \, q^{4} t^{3} + 12 \, q^{2} t^{5} - 4 \, q^{2} t^{4} - 2 \, q t^{5} + t^{6} + t^{5}}{{\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[1, 4], [1, 6], [2, 4], [2, 6], [3, 5], [3, 6], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 2 \, q^{16} t - q^{15} t^{2} + 8 \, q^{15} t - 8 \, q^{14} t^{2} - 4 \, q^{13} t^{3} - 34 \, q^{14} t - 8 \, q^{13} t^{2} + 10 \, q^{12} t^{3} + 14 \, q^{11} t^{4} + 14 \, q^{13} t + 20 \, q^{12} t^{2} + 76 \, q^{11} t^{3} - 36 \, q^{10} t^{4} - 2 \, q^{9} t^{5} + 8 \, q^{12} t + 86 \, q^{11} t^{2} - 132 \, q^{10} t^{3} - 29 \, q^{9} t^{4} - 16 \, q^{8} t^{5} - q^{7} t^{6} - 6 \, q^{11} t - 86 \, q^{10} t^{2} - 36 \, q^{9} t^{3} + 36 \, q^{8} t^{4} + 86 \, q^{7} t^{5} + 6 \, q^{6} t^{6} + q^{10} t + 16 \, q^{9} t^{2} + 29 \, q^{8} t^{3} + 132 \, q^{7} t^{4} - 86 \, q^{6} t^{5} - 8 \, q^{5} t^{6} + 2 \, q^{8} t^{2} + 36 \, q^{7} t^{3} - 76 \, q^{6} t^{4} - 20 \, q^{5} t^{5} - 14 \, q^{4} t^{6} - 14 \, q^{6} t^{3} - 10 \, q^{5} t^{4} + 8 \, q^{4} t^{5} + 34 \, q^{3} t^{6} + 4 \, q^{4} t^{4} + 8 \, q^{3} t^{5} - 8 \, q^{2} t^{6} + q^{2} t^{5} - 2 \, q t^{6} - t^{7}}{{\left(q^{2} - t\right)}^{4} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 6], [1, 4], [2, 4], [2, 6], [3, 5], [3, 6], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{19} + q^{18} t + 10 \, q^{17} t - 4 \, q^{16} t^{2} - 31 \, q^{16} t + q^{15} t^{2} - 14 \, q^{14} t^{3} + 8 \, q^{15} t - 48 \, q^{14} t^{2} + 62 \, q^{13} t^{3} + 4 \, q^{12} t^{4} + 10 \, q^{14} t + 150 \, q^{13} t^{2} - 38 \, q^{12} t^{3} + 23 \, q^{11} t^{4} + q^{10} t^{5} - 6 \, q^{13} t - 76 \, q^{12} t^{2} + 12 \, q^{11} t^{3} - 154 \, q^{10} t^{4} - 12 \, q^{9} t^{5} + q^{12} t - 13 \, q^{11} t^{2} - 184 \, q^{10} t^{3} + 184 \, q^{9} t^{4} + 13 \, q^{8} t^{5} - q^{7} t^{6} + 12 \, q^{10} t^{2} + 154 \, q^{9} t^{3} - 12 \, q^{8} t^{4} + 76 \, q^{7} t^{5} + 6 \, q^{6} t^{6} - q^{9} t^{2} - 23 \, q^{8} t^{3} + 38 \, q^{7} t^{4} - 150 \, q^{6} t^{5} - 10 \, q^{5} t^{6} - 4 \, q^{7} t^{3} - 62 \, q^{6} t^{4} + 48 \, q^{5} t^{5} - 8 \, q^{4} t^{6} + 14 \, q^{5} t^{4} - q^{4} t^{5} + 31 \, q^{3} t^{6} + 4 \, q^{3} t^{5} - 10 \, q^{2} t^{6} - q t^{6} - t^{7}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{4} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 6], [1, 4], [1, 6], [2, 4], [2, 6], [3, 5], [3, 6], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 3 \, q^{16} t - 3 \, q^{15} t^{2} + q^{14} t^{3} - 8 \, q^{14} t^{2} - 4 \, q^{13} t^{3} + 4 \, q^{12} t^{4} - 15 \, q^{14} t + 6 \, q^{13} t^{2} + 24 \, q^{12} t^{3} - 8 \, q^{11} t^{4} - q^{10} t^{5} - 6 \, q^{13} t + 22 \, q^{12} t^{2} + 14 \, q^{11} t^{3} - 10 \, q^{10} t^{4} - 4 \, q^{9} t^{5} + 18 \, q^{12} t + 26 \, q^{11} t^{2} - 71 \, q^{10} t^{3} - 15 \, q^{9} t^{4} + 15 \, q^{8} t^{5} - q^{7} t^{6} - 8 \, q^{11} t - 12 \, q^{10} t^{2} - 28 \, q^{9} t^{3} + 28 \, q^{8} t^{4} + 12 \, q^{7} t^{5} + 8 \, q^{6} t^{6} + q^{10} t - 15 \, q^{9} t^{2} + 15 \, q^{8} t^{3} + 71 \, q^{7} t^{4} - 26 \, q^{6} t^{5} - 18 \, q^{5} t^{6} + 4 \, q^{8} t^{2} + 10 \, q^{7} t^{3} - 14 \, q^{6} t^{4} - 22 \, q^{5} t^{5} + 6 \, q^{4} t^{6} + q^{7} t^{2} + 8 \, q^{6} t^{3} - 24 \, q^{5} t^{4} - 6 \, q^{4} t^{5} + 15 \, q^{3} t^{6} - 4 \, q^{5} t^{3} + 4 \, q^{4} t^{4} + 8 \, q^{3} t^{5} - q^{3} t^{4} + 3 \, q^{2} t^{5} - 3 \, q t^{6} - t^{7}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 5], [1, 4], [2, 4], [2, 6], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{25} + q^{24} t + 6 \, q^{23} t - 4 \, q^{22} t^{2} - 13 \, q^{22} t - 9 \, q^{21} t^{2} - 4 \, q^{20} t^{3} - 26 \, q^{21} t - 44 \, q^{20} t^{2} + 36 \, q^{19} t^{3} + 6 \, q^{18} t^{4} + 34 \, q^{20} t + 171 \, q^{19} t^{2} + 53 \, q^{18} t^{3} + 5 \, q^{17} t^{4} - 3 \, q^{16} t^{5} - 12 \, q^{19} t - 50 \, q^{18} t^{2} - 58 \, q^{17} t^{3} - 144 \, q^{16} t^{4} - 8 \, q^{15} t^{5} + q^{18} t - 41 \, q^{17} t^{2} - 301 \, q^{16} t^{3} + 23 \, q^{15} t^{4} - 9 \, q^{14} t^{5} + 5 \, q^{13} t^{6} + 10 \, q^{16} t^{2} + 158 \, q^{15} t^{3} + 212 \, q^{14} t^{4} + 290 \, q^{13} t^{5} + 16 \, q^{12} t^{6} + 3 \, q^{15} t^{2} + 53 \, q^{14} t^{3} + 294 \, q^{13} t^{4} - 294 \, q^{12} t^{5} - 53 \, q^{11} t^{6} - 3 \, q^{10} t^{7} - 16 \, q^{13} t^{3} - 290 \, q^{12} t^{4} - 212 \, q^{11} t^{5} - 158 \, q^{10} t^{6} - 10 \, q^{9} t^{7} - 5 \, q^{12} t^{3} + 9 \, q^{11} t^{4} - 23 \, q^{10} t^{5} + 301 \, q^{9} t^{6} + 41 \, q^{8} t^{7} - q^{7} t^{8} + 8 \, q^{10} t^{4} + 144 \, q^{9} t^{5} + 58 \, q^{8} t^{6} + 50 \, q^{7} t^{7} + 12 \, q^{6} t^{8} + 3 \, q^{9} t^{4} - 5 \, q^{8} t^{5} - 53 \, q^{7} t^{6} - 171 \, q^{6} t^{7} - 34 \, q^{5} t^{8} - 6 \, q^{7} t^{5} - 36 \, q^{6} t^{6} + 44 \, q^{5} t^{7} + 26 \, q^{4} t^{8} + 4 \, q^{5} t^{6} + 9 \, q^{4} t^{7} + 13 \, q^{3} t^{8} + 4 \, q^{3} t^{7} - 6 \, q^{2} t^{8} - q t^{8} - t^{9}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{4} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 6], [1, 4], [1, 6], [2, 4], [2, 5], [3, 4], [3, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{16} t + q^{16} - 2 \, q^{15} t - 3 \, q^{13} t^{2} + 21 \, q^{13} t - 6 \, q^{12} t^{2} - 60 \, q^{12} t + 24 \, q^{11} t^{2} - 21 \, q^{10} t^{3} + 48 \, q^{11} t - 9 \, q^{10} t^{2} + 90 \, q^{9} t^{3} - 14 \, q^{10} t - 47 \, q^{9} t^{2} - 120 \, q^{8} t^{3} - q^{7} t^{4} + q^{9} t + 120 \, q^{8} t^{2} + 47 \, q^{7} t^{3} + 14 \, q^{6} t^{4} - 90 \, q^{7} t^{2} + 9 \, q^{6} t^{3} - 48 \, q^{5} t^{4} + 21 \, q^{6} t^{2} - 24 \, q^{5} t^{3} + 60 \, q^{4} t^{4} + 6 \, q^{4} t^{3} - 21 \, q^{3} t^{4} + 3 \, q^{3} t^{3} + 2 \, q t^{4} - t^{5} - t^{4}}{{\left(q^{3} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[1, 4], [1, 5], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{24} t + q^{24} - 2 \, q^{23} t - 3 \, q^{21} t^{2} + 9 \, q^{21} t - 2 \, q^{20} t^{2} - 28 \, q^{20} t + 14 \, q^{19} t^{2} - 9 \, q^{18} t^{3} + 14 \, q^{19} t + q^{18} t^{2} + 48 \, q^{17} t^{3} - 55 \, q^{17} t^{2} - 55 \, q^{16} t^{3} - q^{15} t^{4} - q^{17} t + 149 \, q^{16} t^{2} - 7 \, q^{15} t^{3} + 26 \, q^{14} t^{4} - 110 \, q^{15} t^{2} + 17 \, q^{14} t^{3} - 111 \, q^{13} t^{4} + 29 \, q^{14} t^{2} + 23 \, q^{13} t^{3} + 138 \, q^{12} t^{4} + 2 \, q^{11} t^{5} - 2 \, q^{13} t^{2} - 138 \, q^{12} t^{3} - 23 \, q^{11} t^{4} - 29 \, q^{10} t^{5} + 111 \, q^{11} t^{3} - 17 \, q^{10} t^{4} + 110 \, q^{9} t^{5} - 26 \, q^{10} t^{3} + 7 \, q^{9} t^{4} - 149 \, q^{8} t^{5} + q^{7} t^{6} + q^{9} t^{3} + 55 \, q^{8} t^{4} + 55 \, q^{7} t^{5} - 48 \, q^{7} t^{4} - q^{6} t^{5} - 14 \, q^{5} t^{6} + 9 \, q^{6} t^{4} - 14 \, q^{5} t^{5} + 28 \, q^{4} t^{6} + 2 \, q^{4} t^{5} - 9 \, q^{3} t^{6} + 3 \, q^{3} t^{5} + 2 \, q t^{6} - t^{7} - t^{6}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[1, 4], [1, 5], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{26} + q^{25} t + 2 \, q^{24} t - 2 \, q^{23} t^{2} - 4 \, q^{23} t - 3 \, q^{22} t^{2} - q^{21} t^{3} - 18 \, q^{22} t - 2 \, q^{20} t^{3} + 12 \, q^{21} t - 7 \, q^{20} t^{2} + 41 \, q^{19} t^{3} + 4 \, q^{18} t^{4} + 56 \, q^{19} t^{2} - 46 \, q^{18} t^{3} - 6 \, q^{17} t^{4} - q^{19} t + 24 \, q^{18} t^{2} + 29 \, q^{17} t^{3} - 15 \, q^{16} t^{4} + q^{15} t^{5} - 60 \, q^{17} t^{2} - 92 \, q^{16} t^{3} - 52 \, q^{15} t^{4} - 16 \, q^{14} t^{5} + 22 \, q^{16} t^{2} - 21 \, q^{15} t^{3} + 134 \, q^{14} t^{4} + 39 \, q^{13} t^{5} - 2 \, q^{15} t^{2} + 12 \, q^{14} t^{3} - 60 \, q^{13} t^{4} + 12 \, q^{12} t^{5} - 2 \, q^{11} t^{6} + 39 \, q^{13} t^{3} + 134 \, q^{12} t^{4} - 21 \, q^{11} t^{5} + 22 \, q^{10} t^{6} - 16 \, q^{12} t^{3} - 52 \, q^{11} t^{4} - 92 \, q^{10} t^{5} - 60 \, q^{9} t^{6} + q^{11} t^{3} - 15 \, q^{10} t^{4} + 29 \, q^{9} t^{5} + 24 \, q^{8} t^{6} - q^{7} t^{7} - 6 \, q^{9} t^{4} - 46 \, q^{8} t^{5} + 56 \, q^{7} t^{6} + 4 \, q^{8} t^{4} + 41 \, q^{7} t^{5} - 7 \, q^{6} t^{6} + 12 \, q^{5} t^{7} - 2 \, q^{6} t^{5} - 18 \, q^{4} t^{7} - q^{5} t^{5} - 3 \, q^{4} t^{6} - 4 \, q^{3} t^{7} - 2 \, q^{3} t^{6} + 2 \, q^{2} t^{7} + q t^{7} + t^{8}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 6], [1, 4], [1, 5], [2, 4], [2, 5], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{19} + q^{18} t + q^{17} t - q^{16} t^{2} + 7 \, q^{16} t - 3 \, q^{15} t^{2} - 38 \, q^{15} t - 11 \, q^{14} t^{2} - 3 \, q^{13} t^{3} + 28 \, q^{14} t + 17 \, q^{13} t^{2} + 15 \, q^{12} t^{3} - 4 \, q^{13} t + 30 \, q^{12} t^{2} + 15 \, q^{11} t^{3} + 9 \, q^{10} t^{4} - q^{12} t + 3 \, q^{11} t^{2} - 37 \, q^{10} t^{3} - 29 \, q^{9} t^{4} - 29 \, q^{10} t^{2} - 37 \, q^{9} t^{3} + 3 \, q^{8} t^{4} - q^{7} t^{5} + 9 \, q^{9} t^{2} + 15 \, q^{8} t^{3} + 30 \, q^{7} t^{4} - 4 \, q^{6} t^{5} + 15 \, q^{7} t^{3} + 17 \, q^{6} t^{4} + 28 \, q^{5} t^{5} - 3 \, q^{6} t^{3} - 11 \, q^{5} t^{4} - 38 \, q^{4} t^{5} - 3 \, q^{4} t^{4} + 7 \, q^{3} t^{5} - q^{3} t^{4} + q^{2} t^{5} + q t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 6], [1, 4], [1, 5], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{23} + q^{22} t - q^{21} t - q^{20} t^{2} + 9 \, q^{20} t - 3 \, q^{19} t^{2} - 35 \, q^{19} t - 6 \, q^{18} t^{2} - 3 \, q^{17} t^{3} + 22 \, q^{18} t + 12 \, q^{17} t^{2} + 20 \, q^{16} t^{3} - 2 \, q^{17} t + 9 \, q^{16} t^{2} - 2 \, q^{15} t^{3} + 7 \, q^{14} t^{4} - q^{16} t + 59 \, q^{15} t^{2} - 8 \, q^{14} t^{3} - 24 \, q^{13} t^{4} - 67 \, q^{14} t^{2} - 52 \, q^{13} t^{3} - 4 \, q^{12} t^{4} + q^{11} t^{5} + 19 \, q^{13} t^{2} - 11 \, q^{12} t^{3} + 11 \, q^{11} t^{4} - 19 \, q^{10} t^{5} - q^{12} t^{2} + 4 \, q^{11} t^{3} + 52 \, q^{10} t^{4} + 67 \, q^{9} t^{5} + 24 \, q^{10} t^{3} + 8 \, q^{9} t^{4} - 59 \, q^{8} t^{5} + q^{7} t^{6} - 7 \, q^{9} t^{3} + 2 \, q^{8} t^{4} - 9 \, q^{7} t^{5} + 2 \, q^{6} t^{6} - 20 \, q^{7} t^{4} - 12 \, q^{6} t^{5} - 22 \, q^{5} t^{6} + 3 \, q^{6} t^{4} + 6 \, q^{5} t^{5} + 35 \, q^{4} t^{6} + 3 \, q^{4} t^{5} - 9 \, q^{3} t^{6} + q^{3} t^{5} + q^{2} t^{6} - q t^{6} - t^{7}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 6], [1, 4], [1, 5], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{27} + q^{26} t - q^{25} t - q^{24} t^{2} + 5 \, q^{24} t - 3 \, q^{23} t^{2} - 26 \, q^{23} t - q^{22} t^{2} - 3 \, q^{21} t^{3} + 14 \, q^{22} t + 5 \, q^{21} t^{2} + 19 \, q^{20} t^{3} - q^{19} t^{3} + 7 \, q^{18} t^{4} - q^{20} t + 96 \, q^{19} t^{2} - 4 \, q^{18} t^{3} - 21 \, q^{17} t^{4} - 93 \, q^{18} t^{2} - 52 \, q^{17} t^{3} - 18 \, q^{16} t^{4} + q^{15} t^{5} + 27 \, q^{17} t^{2} - 28 \, q^{16} t^{3} + 15 \, q^{15} t^{4} - 22 \, q^{14} t^{5} - 2 \, q^{16} t^{2} - 41 \, q^{15} t^{3} + 52 \, q^{14} t^{4} + 75 \, q^{13} t^{5} + 75 \, q^{14} t^{3} + 52 \, q^{13} t^{4} - 41 \, q^{12} t^{5} - 2 \, q^{11} t^{6} - 22 \, q^{13} t^{3} + 15 \, q^{12} t^{4} - 28 \, q^{11} t^{5} + 27 \, q^{10} t^{6} + q^{12} t^{3} - 18 \, q^{11} t^{4} - 52 \, q^{10} t^{5} - 93 \, q^{9} t^{6} - 21 \, q^{10} t^{4} - 4 \, q^{9} t^{5} + 96 \, q^{8} t^{6} - q^{7} t^{7} + 7 \, q^{9} t^{4} - q^{8} t^{5} + 19 \, q^{7} t^{5} + 5 \, q^{6} t^{6} + 14 \, q^{5} t^{7} - 3 \, q^{6} t^{5} - q^{5} t^{6} - 26 \, q^{4} t^{7} - 3 \, q^{4} t^{6} + 5 \, q^{3} t^{7} - q^{3} t^{6} - q^{2} t^{7} + q t^{7} + t^{8}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 6], [1, 4], [1, 5], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{25} + q^{24} t - 2 \, q^{23} t + 9 \, q^{22} t - 3 \, q^{21} t^{2} - 28 \, q^{21} t - 2 \, q^{20} t^{2} + 14 \, q^{20} t + 17 \, q^{19} t^{2} - 9 \, q^{18} t^{3} - 56 \, q^{18} t^{2} + 48 \, q^{17} t^{3} - q^{18} t + 148 \, q^{17} t^{2} - 56 \, q^{16} t^{3} - q^{15} t^{4} - 110 \, q^{16} t^{2} + 6 \, q^{15} t^{3} + 26 \, q^{14} t^{4} + 29 \, q^{15} t^{2} + 26 \, q^{14} t^{3} - 111 \, q^{13} t^{4} - 2 \, q^{14} t^{2} - 136 \, q^{13} t^{3} + 136 \, q^{12} t^{4} + 2 \, q^{11} t^{5} + 111 \, q^{12} t^{3} - 26 \, q^{11} t^{4} - 29 \, q^{10} t^{5} - 26 \, q^{11} t^{3} - 6 \, q^{10} t^{4} + 110 \, q^{9} t^{5} + q^{10} t^{3} + 56 \, q^{9} t^{4} - 148 \, q^{8} t^{5} + q^{7} t^{6} - 48 \, q^{8} t^{4} + 56 \, q^{7} t^{5} + 9 \, q^{7} t^{4} - 17 \, q^{6} t^{5} - 14 \, q^{5} t^{6} + 2 \, q^{5} t^{5} + 28 \, q^{4} t^{6} + 3 \, q^{4} t^{5} - 9 \, q^{3} t^{6} + 2 \, q^{2} t^{6} - q t^{6} - t^{7}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 6], [1, 4], [1, 5], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{16} t + q^{16} - 2 \, q^{15} t - 3 \, q^{13} t^{2} + 9 \, q^{13} t - 30 \, q^{12} t + 12 \, q^{11} t^{2} - 9 \, q^{10} t^{3} + 24 \, q^{11} t - 3 \, q^{10} t^{2} + 42 \, q^{9} t^{3} - 8 \, q^{10} t - 23 \, q^{9} t^{2} - 60 \, q^{8} t^{3} - q^{7} t^{4} + q^{9} t + 60 \, q^{8} t^{2} + 23 \, q^{7} t^{3} + 8 \, q^{6} t^{4} - 42 \, q^{7} t^{2} + 3 \, q^{6} t^{3} - 24 \, q^{5} t^{4} + 9 \, q^{6} t^{2} - 12 \, q^{5} t^{3} + 30 \, q^{4} t^{4} - 9 \, q^{3} t^{4} + 3 \, q^{3} t^{3} + 2 \, q t^{4} - t^{5} - t^{4}}{{\left(q^{3} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[1, 4], [1, 5], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{19} + q^{18} t - q^{17} t - q^{16} t^{2} + 5 \, q^{16} t - 3 \, q^{15} t^{2} - 28 \, q^{15} t + q^{14} t^{2} - 3 \, q^{13} t^{3} + 24 \, q^{14} t + 9 \, q^{13} t^{2} + 17 \, q^{12} t^{3} - 8 \, q^{13} t + 8 \, q^{12} t^{2} - 9 \, q^{11} t^{3} + 7 \, q^{10} t^{4} + q^{12} t + 21 \, q^{11} t^{2} - 15 \, q^{10} t^{3} - 27 \, q^{9} t^{4} - 27 \, q^{10} t^{2} - 15 \, q^{9} t^{3} + 21 \, q^{8} t^{4} + q^{7} t^{5} + 7 \, q^{9} t^{2} - 9 \, q^{8} t^{3} + 8 \, q^{7} t^{4} - 8 \, q^{6} t^{5} + 17 \, q^{7} t^{3} + 9 \, q^{6} t^{4} + 24 \, q^{5} t^{5} - 3 \, q^{6} t^{3} + q^{5} t^{4} - 28 \, q^{4} t^{5} - 3 \, q^{4} t^{4} + 5 \, q^{3} t^{5} - q^{3} t^{4} - q^{2} t^{5} + q t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 6], [1, 4], [1, 5], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + q^{16} t - 2 \, q^{15} t + 11 \, q^{14} t - 3 \, q^{13} t^{2} - 32 \, q^{13} t - 2 \, q^{12} t^{2} + 22 \, q^{12} t + 13 \, q^{11} t^{2} - 9 \, q^{10} t^{3} - 6 \, q^{11} t - 24 \, q^{10} t^{2} + 46 \, q^{9} t^{3} + q^{10} t + 63 \, q^{9} t^{2} - 63 \, q^{8} t^{3} - q^{7} t^{4} - 46 \, q^{8} t^{2} + 24 \, q^{7} t^{3} + 6 \, q^{6} t^{4} + 9 \, q^{7} t^{2} - 13 \, q^{6} t^{3} - 22 \, q^{5} t^{4} + 2 \, q^{5} t^{3} + 32 \, q^{4} t^{4} + 3 \, q^{4} t^{3} - 11 \, q^{3} t^{4} + 2 \, q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 6], [1, 4], [1, 5], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{21} + q^{20} t - 2 \, q^{19} t + 9 \, q^{18} t - 3 \, q^{17} t^{2} - 29 \, q^{17} t - q^{16} t^{2} + 20 \, q^{16} t + 15 \, q^{15} t^{2} - 9 \, q^{14} t^{3} - 6 \, q^{15} t - 41 \, q^{14} t^{2} + 45 \, q^{13} t^{3} + q^{14} t + 101 \, q^{13} t^{2} - 55 \, q^{12} t^{3} - q^{11} t^{4} - 72 \, q^{12} t^{2} + 9 \, q^{11} t^{3} + 17 \, q^{10} t^{4} + 17 \, q^{11} t^{2} + 9 \, q^{10} t^{3} - 72 \, q^{9} t^{4} - q^{10} t^{2} - 55 \, q^{9} t^{3} + 101 \, q^{8} t^{4} + q^{7} t^{5} + 45 \, q^{8} t^{3} - 41 \, q^{7} t^{4} - 6 \, q^{6} t^{5} - 9 \, q^{7} t^{3} + 15 \, q^{6} t^{4} + 20 \, q^{5} t^{5} - q^{5} t^{4} - 29 \, q^{4} t^{5} - 3 \, q^{4} t^{4} + 9 \, q^{3} t^{5} - 2 \, q^{2} t^{5} + q t^{5} + t^{6}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 6], [1, 4], [1, 5], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + q^{16} t - 2 \, q^{15} t + 9 \, q^{14} t - 3 \, q^{13} t^{2} - 30 \, q^{13} t + 24 \, q^{12} t + 15 \, q^{11} t^{2} - 9 \, q^{10} t^{3} - 8 \, q^{11} t - 30 \, q^{10} t^{2} + 42 \, q^{9} t^{3} + q^{10} t + 61 \, q^{9} t^{2} - 61 \, q^{8} t^{3} - q^{7} t^{4} - 42 \, q^{8} t^{2} + 30 \, q^{7} t^{3} + 8 \, q^{6} t^{4} + 9 \, q^{7} t^{2} - 15 \, q^{6} t^{3} - 24 \, q^{5} t^{4} + 30 \, q^{4} t^{4} + 3 \, q^{4} t^{3} - 9 \, q^{3} t^{4} + 2 \, q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 6], [1, 4], [1, 5], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{22} + q^{21} t + 4 \, q^{20} t - 2 \, q^{19} t^{2} - 6 \, q^{19} t - q^{18} t^{2} - q^{17} t^{3} - 21 \, q^{18} t - 19 \, q^{17} t^{2} - 2 \, q^{16} t^{3} + 18 \, q^{17} t + 31 \, q^{16} t^{2} + 37 \, q^{15} t^{3} + 4 \, q^{14} t^{4} - 2 \, q^{16} t + 36 \, q^{15} t^{2} - 27 \, q^{14} t^{3} - 7 \, q^{13} t^{4} - q^{15} t - 3 \, q^{14} t^{2} - 6 \, q^{13} t^{3} - 13 \, q^{12} t^{4} + q^{11} t^{5} - 34 \, q^{13} t^{2} - 79 \, q^{12} t^{3} - 27 \, q^{11} t^{4} - 14 \, q^{10} t^{5} + 14 \, q^{12} t^{2} + 27 \, q^{11} t^{3} + 79 \, q^{10} t^{4} + 34 \, q^{9} t^{5} - q^{11} t^{2} + 13 \, q^{10} t^{3} + 6 \, q^{9} t^{4} + 3 \, q^{8} t^{5} + q^{7} t^{6} + 7 \, q^{9} t^{3} + 27 \, q^{8} t^{4} - 36 \, q^{7} t^{5} + 2 \, q^{6} t^{6} - 4 \, q^{8} t^{3} - 37 \, q^{7} t^{4} - 31 \, q^{6} t^{5} - 18 \, q^{5} t^{6} + 2 \, q^{6} t^{4} + 19 \, q^{5} t^{5} + 21 \, q^{4} t^{6} + q^{5} t^{4} + q^{4} t^{5} + 6 \, q^{3} t^{6} + 2 \, q^{3} t^{5} - 4 \, q^{2} t^{6} - q t^{6} - t^{7}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 5], [1, 4], [1, 6], [2, 4], [2, 6], [3, 4], [3, 5], [3, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{19} + q^{18} t - q^{17} t - q^{16} t^{2} + 7 \, q^{16} t - 3 \, q^{15} t^{2} - 32 \, q^{15} t - q^{14} t^{2} - 3 \, q^{13} t^{3} + 26 \, q^{14} t + 7 \, q^{13} t^{2} + 17 \, q^{12} t^{3} - 8 \, q^{13} t + 18 \, q^{12} t^{2} - 3 \, q^{11} t^{3} + 7 \, q^{10} t^{4} + q^{12} t + 15 \, q^{11} t^{2} - 21 \, q^{10} t^{3} - 27 \, q^{9} t^{4} - 27 \, q^{10} t^{2} - 21 \, q^{9} t^{3} + 15 \, q^{8} t^{4} + q^{7} t^{5} + 7 \, q^{9} t^{2} - 3 \, q^{8} t^{3} + 18 \, q^{7} t^{4} - 8 \, q^{6} t^{5} + 17 \, q^{7} t^{3} + 7 \, q^{6} t^{4} + 26 \, q^{5} t^{5} - 3 \, q^{6} t^{3} - q^{5} t^{4} - 32 \, q^{4} t^{5} - 3 \, q^{4} t^{4} + 7 \, q^{3} t^{5} - q^{3} t^{4} - q^{2} t^{5} + q t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 5], [1, 4], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + 4 \, q^{18} t + 11 \, q^{17} t + q^{16} t^{2} - 56 \, q^{16} t - 16 \, q^{15} t^{2} + 48 \, q^{15} t - 21 \, q^{14} t^{2} - 7 \, q^{13} t^{3} - 14 \, q^{14} t + 100 \, q^{13} t^{2} + 18 \, q^{12} t^{3} + q^{13} t - 32 \, q^{12} t^{2} + 83 \, q^{11} t^{3} + 11 \, q^{10} t^{4} - 28 \, q^{11} t^{2} - 208 \, q^{10} t^{3} - 28 \, q^{9} t^{4} + 11 \, q^{10} t^{2} + 83 \, q^{9} t^{3} - 32 \, q^{8} t^{4} + q^{7} t^{5} + 18 \, q^{8} t^{3} + 100 \, q^{7} t^{4} - 14 \, q^{6} t^{5} - 7 \, q^{7} t^{3} - 21 \, q^{6} t^{4} + 48 \, q^{5} t^{5} - 16 \, q^{5} t^{4} - 56 \, q^{4} t^{5} + q^{4} t^{4} + 11 \, q^{3} t^{5} + 4 \, q^{2} t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 5], [0, 6], [1, 4], [1, 6], [2, 4], [2, 5], [3, 4], [3, 5], [3, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 4 \, q^{15} t + 2 \, q^{14} t + q^{13} t^{2} - 30 \, q^{13} t - 6 \, q^{12} t^{2} + 26 \, q^{12} t - 21 \, q^{11} t^{2} - 6 \, q^{10} t^{3} - 8 \, q^{11} t + 62 \, q^{10} t^{2} + 18 \, q^{9} t^{3} + q^{10} t - 14 \, q^{9} t^{2} + 14 \, q^{8} t^{3} - q^{7} t^{4} - 18 \, q^{8} t^{2} - 62 \, q^{7} t^{3} + 8 \, q^{6} t^{4} + 6 \, q^{7} t^{2} + 21 \, q^{6} t^{3} - 26 \, q^{5} t^{4} + 6 \, q^{5} t^{3} + 30 \, q^{4} t^{4} - q^{4} t^{3} - 2 \, q^{3} t^{4} - 4 \, q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 5], [0, 6], [1, 4], [1, 6], [2, 4], [2, 5], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{24} + 2 \, q^{22} t + 9 \, q^{21} t - q^{20} t^{2} - 39 \, q^{20} t - 10 \, q^{19} t^{2} + 24 \, q^{19} t - 9 \, q^{18} t^{2} - 3 \, q^{17} t^{3} - 2 \, q^{18} t + 41 \, q^{17} t^{2} + 21 \, q^{16} t^{3} - q^{17} t + 52 \, q^{16} t^{2} + 43 \, q^{15} t^{3} + 9 \, q^{14} t^{4} - 70 \, q^{15} t^{2} - 125 \, q^{14} t^{3} - 37 \, q^{13} t^{4} + 19 \, q^{14} t^{2} + 11 \, q^{13} t^{3} + 10 \, q^{12} t^{4} + q^{11} t^{5} - q^{13} t^{2} - 10 \, q^{12} t^{3} - 11 \, q^{11} t^{4} - 19 \, q^{10} t^{5} + 37 \, q^{11} t^{3} + 125 \, q^{10} t^{4} + 70 \, q^{9} t^{5} - 9 \, q^{10} t^{3} - 43 \, q^{9} t^{4} - 52 \, q^{8} t^{5} + q^{7} t^{6} - 21 \, q^{8} t^{4} - 41 \, q^{7} t^{5} + 2 \, q^{6} t^{6} + 3 \, q^{7} t^{4} + 9 \, q^{6} t^{5} - 24 \, q^{5} t^{6} + 10 \, q^{5} t^{5} + 39 \, q^{4} t^{6} + q^{4} t^{5} - 9 \, q^{3} t^{6} - 2 \, q^{2} t^{6} - t^{7}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 5], [0, 6], [1, 4], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + 2 \, q^{18} t + 5 \, q^{17} t - q^{16} t^{2} - 32 \, q^{16} t - 6 \, q^{15} t^{2} + 26 \, q^{15} t - 5 \, q^{14} t^{2} - 3 \, q^{13} t^{3} - 8 \, q^{14} t + 40 \, q^{13} t^{2} + 14 \, q^{12} t^{3} + q^{13} t + 6 \, q^{12} t^{2} + 27 \, q^{11} t^{3} + 7 \, q^{10} t^{4} - 26 \, q^{11} t^{2} - 96 \, q^{10} t^{3} - 26 \, q^{9} t^{4} + 7 \, q^{10} t^{2} + 27 \, q^{9} t^{3} + 6 \, q^{8} t^{4} + q^{7} t^{5} + 14 \, q^{8} t^{3} + 40 \, q^{7} t^{4} - 8 \, q^{6} t^{5} - 3 \, q^{7} t^{3} - 5 \, q^{6} t^{4} + 26 \, q^{5} t^{5} - 6 \, q^{5} t^{4} - 32 \, q^{4} t^{5} - q^{4} t^{4} + 5 \, q^{3} t^{5} + 2 \, q^{2} t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 5], [0, 6], [1, 4], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 4 \, q^{15} t + q^{13} t^{2} - 26 \, q^{13} t - 6 \, q^{12} t^{2} + 24 \, q^{12} t - 15 \, q^{11} t^{2} - 6 \, q^{10} t^{3} - 8 \, q^{11} t + 50 \, q^{10} t^{2} + 18 \, q^{9} t^{3} + q^{10} t - 8 \, q^{9} t^{2} + 8 \, q^{8} t^{3} - q^{7} t^{4} - 18 \, q^{8} t^{2} - 50 \, q^{7} t^{3} + 8 \, q^{6} t^{4} + 6 \, q^{7} t^{2} + 15 \, q^{6} t^{3} - 24 \, q^{5} t^{4} + 6 \, q^{5} t^{3} + 26 \, q^{4} t^{4} - q^{4} t^{3} - 4 \, q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 5], [0, 6], [1, 4], [1, 6], [2, 4], [2, 5], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{28} + 2 \, q^{26} t + 3 \, q^{25} t - q^{24} t^{2} - 24 \, q^{24} t - 6 \, q^{23} t^{2} + 10 \, q^{23} t - 9 \, q^{22} t^{2} - 3 \, q^{21} t^{3} + 2 \, q^{22} t + 16 \, q^{21} t^{2} + 18 \, q^{20} t^{3} - q^{21} t + 103 \, q^{20} t^{2} + 49 \, q^{19} t^{3} + 7 \, q^{18} t^{4} - 102 \, q^{19} t^{2} - 108 \, q^{18} t^{3} - 26 \, q^{17} t^{4} + 31 \, q^{18} t^{2} - 32 \, q^{17} t^{3} - 31 \, q^{16} t^{4} + q^{15} t^{5} - 4 \, q^{17} t^{2} - 34 \, q^{16} t^{3} + 26 \, q^{15} t^{4} - 16 \, q^{14} t^{5} + 69 \, q^{15} t^{3} + 118 \, q^{14} t^{4} + 69 \, q^{13} t^{5} - 16 \, q^{14} t^{3} + 26 \, q^{13} t^{4} - 34 \, q^{12} t^{5} - 4 \, q^{11} t^{6} + q^{13} t^{3} - 31 \, q^{12} t^{4} - 32 \, q^{11} t^{5} + 31 \, q^{10} t^{6} - 26 \, q^{11} t^{4} - 108 \, q^{10} t^{5} - 102 \, q^{9} t^{6} + 7 \, q^{10} t^{4} + 49 \, q^{9} t^{5} + 103 \, q^{8} t^{6} - q^{7} t^{7} + 18 \, q^{8} t^{5} + 16 \, q^{7} t^{6} + 2 \, q^{6} t^{7} - 3 \, q^{7} t^{5} - 9 \, q^{6} t^{6} + 10 \, q^{5} t^{7} - 6 \, q^{5} t^{6} - 24 \, q^{4} t^{7} - q^{4} t^{6} + 3 \, q^{3} t^{7} + 2 \, q^{2} t^{7} + t^{8}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 5], [0, 6], [1, 4], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{24} + 2 \, q^{22} t + 3 \, q^{21} t - q^{20} t^{2} - 27 \, q^{20} t - 6 \, q^{19} t^{2} + 20 \, q^{19} t - q^{18} t^{2} - 3 \, q^{17} t^{3} - 6 \, q^{18} t + 17 \, q^{17} t^{2} + 15 \, q^{16} t^{3} + q^{17} t + 56 \, q^{16} t^{2} + 29 \, q^{15} t^{3} + 7 \, q^{14} t^{4} - 58 \, q^{15} t^{2} - 79 \, q^{14} t^{3} - 23 \, q^{13} t^{4} + 15 \, q^{14} t^{2} - 25 \, q^{13} t^{3} - 12 \, q^{12} t^{4} + q^{11} t^{5} - q^{13} t^{2} + 12 \, q^{12} t^{3} + 25 \, q^{11} t^{4} - 15 \, q^{10} t^{5} + 23 \, q^{11} t^{3} + 79 \, q^{10} t^{4} + 58 \, q^{9} t^{5} - 7 \, q^{10} t^{3} - 29 \, q^{9} t^{4} - 56 \, q^{8} t^{5} - q^{7} t^{6} - 15 \, q^{8} t^{4} - 17 \, q^{7} t^{5} + 6 \, q^{6} t^{6} + 3 \, q^{7} t^{4} + q^{6} t^{5} - 20 \, q^{5} t^{6} + 6 \, q^{5} t^{5} + 27 \, q^{4} t^{6} + q^{4} t^{5} - 3 \, q^{3} t^{6} - 2 \, q^{2} t^{6} - t^{7}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 5], [0, 6], [1, 4], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + 2 \, q^{18} t + 3 \, q^{17} t - q^{16} t^{2} - 28 \, q^{16} t - 6 \, q^{15} t^{2} + 24 \, q^{15} t + 3 \, q^{14} t^{2} - 3 \, q^{13} t^{3} - 8 \, q^{14} t + 24 \, q^{13} t^{2} + 14 \, q^{12} t^{3} + q^{13} t + 14 \, q^{12} t^{2} + 15 \, q^{11} t^{3} + 7 \, q^{10} t^{4} - 26 \, q^{11} t^{2} - 72 \, q^{10} t^{3} - 26 \, q^{9} t^{4} + 7 \, q^{10} t^{2} + 15 \, q^{9} t^{3} + 14 \, q^{8} t^{4} + q^{7} t^{5} + 14 \, q^{8} t^{3} + 24 \, q^{7} t^{4} - 8 \, q^{6} t^{5} - 3 \, q^{7} t^{3} + 3 \, q^{6} t^{4} + 24 \, q^{5} t^{5} - 6 \, q^{5} t^{4} - 28 \, q^{4} t^{5} - q^{4} t^{4} + 3 \, q^{3} t^{5} + 2 \, q^{2} t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 5], [0, 6], [1, 4], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{26} + q^{24} t + 7 \, q^{23} t - 28 \, q^{22} t - 3 \, q^{21} t^{2} + 16 \, q^{21} t - q^{20} t^{2} - 4 \, q^{20} t - 36 \, q^{19} t^{2} - 9 \, q^{18} t^{3} + q^{19} t + 139 \, q^{18} t^{2} + 53 \, q^{17} t^{3} - 101 \, q^{17} t^{2} - 53 \, q^{16} t^{3} - q^{15} t^{4} + 27 \, q^{16} t^{2} + 23 \, q^{15} t^{3} + 20 \, q^{14} t^{4} - 4 \, q^{15} t^{2} - 137 \, q^{14} t^{3} - 107 \, q^{13} t^{4} + 107 \, q^{13} t^{3} + 137 \, q^{12} t^{4} + 4 \, q^{11} t^{5} - 20 \, q^{12} t^{3} - 23 \, q^{11} t^{4} - 27 \, q^{10} t^{5} + q^{11} t^{3} + 53 \, q^{10} t^{4} + 101 \, q^{9} t^{5} - 53 \, q^{9} t^{4} - 139 \, q^{8} t^{5} - q^{7} t^{6} + 9 \, q^{8} t^{4} + 36 \, q^{7} t^{5} + 4 \, q^{6} t^{6} + q^{6} t^{5} - 16 \, q^{5} t^{6} + 3 \, q^{5} t^{5} + 28 \, q^{4} t^{6} - 7 \, q^{3} t^{6} - q^{2} t^{6} - t^{7}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 5], [0, 6], [1, 4], [1, 5], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{22} + q^{20} t + 7 \, q^{19} t - 29 \, q^{18} t - 3 \, q^{17} t^{2} + 20 \, q^{17} t + 2 \, q^{16} t^{2} - 6 \, q^{16} t - 27 \, q^{15} t^{2} - 9 \, q^{14} t^{3} + q^{15} t + 100 \, q^{14} t^{2} + 44 \, q^{13} t^{3} - 73 \, q^{13} t^{2} - 45 \, q^{12} t^{3} - q^{11} t^{4} + 17 \, q^{12} t^{2} + 17 \, q^{10} t^{4} - q^{11} t^{2} - 45 \, q^{10} t^{3} - 73 \, q^{9} t^{4} + 44 \, q^{9} t^{3} + 100 \, q^{8} t^{4} + q^{7} t^{5} - 9 \, q^{8} t^{3} - 27 \, q^{7} t^{4} - 6 \, q^{6} t^{5} + 2 \, q^{6} t^{4} + 20 \, q^{5} t^{5} - 3 \, q^{5} t^{4} - 29 \, q^{4} t^{5} + 7 \, q^{3} t^{5} + q^{2} t^{5} + t^{6}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 5], [0, 6], [1, 4], [1, 5], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{23} + q^{21} t + 7 \, q^{20} t - 30 \, q^{19} t - 3 \, q^{18} t^{2} + 25 \, q^{18} t + 3 \, q^{17} t^{2} - 12 \, q^{17} t - 15 \, q^{16} t^{2} - 9 \, q^{15} t^{3} + 3 \, q^{16} t + 45 \, q^{15} t^{2} + 41 \, q^{14} t^{3} - q^{14} t^{2} - 45 \, q^{13} t^{3} - q^{12} t^{4} - 21 \, q^{13} t^{2} + 3 \, q^{12} t^{3} + 8 \, q^{11} t^{4} + 8 \, q^{12} t^{2} + 3 \, q^{11} t^{3} - 21 \, q^{10} t^{4} - q^{11} t^{2} - 45 \, q^{10} t^{3} - q^{9} t^{4} + 41 \, q^{9} t^{3} + 45 \, q^{8} t^{4} + 3 \, q^{7} t^{5} - 9 \, q^{8} t^{3} - 15 \, q^{7} t^{4} - 12 \, q^{6} t^{5} + 3 \, q^{6} t^{4} + 25 \, q^{5} t^{5} - 3 \, q^{5} t^{4} - 30 \, q^{4} t^{5} + 7 \, q^{3} t^{5} + q^{2} t^{5} + t^{6}}{{\left(q^{5} - t\right)} {\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 5], [0, 6], [1, 4], [1, 5], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + q^{16} t + 7 \, q^{15} t - 30 \, q^{14} t - 3 \, q^{13} t^{2} + 24 \, q^{13} t + 3 \, q^{12} t^{2} - 8 \, q^{12} t - 12 \, q^{11} t^{2} - 9 \, q^{10} t^{3} + q^{11} t + 54 \, q^{10} t^{2} + 41 \, q^{9} t^{3} - 41 \, q^{9} t^{2} - 54 \, q^{8} t^{3} - q^{7} t^{4} + 9 \, q^{8} t^{2} + 12 \, q^{7} t^{3} + 8 \, q^{6} t^{4} - 3 \, q^{6} t^{3} - 24 \, q^{5} t^{4} + 3 \, q^{5} t^{3} + 30 \, q^{4} t^{4} - 7 \, q^{3} t^{4} - q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 5], [0, 6], [1, 4], [1, 5], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + 5 \, q^{15} t - q^{14} t^{2} - q^{13} t^{3} - 3 \, q^{14} t - 17 \, q^{13} t^{2} + q^{12} t^{3} + 3 \, q^{11} t^{4} - 22 \, q^{13} t + q^{12} t^{2} + 21 \, q^{11} t^{3} + 9 \, q^{10} t^{4} - 5 \, q^{9} t^{5} + 10 \, q^{12} t + 78 \, q^{11} t^{2} + 47 \, q^{10} t^{3} - 59 \, q^{9} t^{4} + 9 \, q^{8} t^{5} - q^{7} t^{6} + 8 \, q^{11} t - 34 \, q^{10} t^{2} - 164 \, q^{9} t^{3} - 14 \, q^{8} t^{4} + 2 \, q^{7} t^{5} + 6 \, q^{6} t^{6} - 6 \, q^{10} t - 2 \, q^{9} t^{2} + 14 \, q^{8} t^{3} + 164 \, q^{7} t^{4} + 34 \, q^{6} t^{5} - 8 \, q^{5} t^{6} + q^{9} t - 9 \, q^{8} t^{2} + 59 \, q^{7} t^{3} - 47 \, q^{6} t^{4} - 78 \, q^{5} t^{5} - 10 \, q^{4} t^{6} + 5 \, q^{7} t^{2} - 9 \, q^{6} t^{3} - 21 \, q^{5} t^{4} - q^{4} t^{5} + 22 \, q^{3} t^{6} - 3 \, q^{5} t^{3} - q^{4} t^{4} + 17 \, q^{3} t^{5} + 3 \, q^{2} t^{6} + q^{3} t^{4} + q^{2} t^{5} - 5 \, q t^{6} - t^{7}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 4], [1, 6], [2, 5], [2, 6], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + 4 \, q^{14} t + q^{13} t^{2} + 9 \, q^{13} t - 7 \, q^{11} t^{3} - 44 \, q^{12} t - 57 \, q^{11} t^{2} + q^{9} t^{4} + 26 \, q^{11} t + 90 \, q^{10} t^{2} + 89 \, q^{9} t^{3} + 22 \, q^{8} t^{4} + q^{7} t^{5} + 4 \, q^{10} t + 40 \, q^{9} t^{2} - 92 \, q^{8} t^{3} - 82 \, q^{7} t^{4} - 6 \, q^{6} t^{5} - 6 \, q^{9} t - 82 \, q^{8} t^{2} - 92 \, q^{7} t^{3} + 40 \, q^{6} t^{4} + 4 \, q^{5} t^{5} + q^{8} t + 22 \, q^{7} t^{2} + 89 \, q^{6} t^{3} + 90 \, q^{5} t^{4} + 26 \, q^{4} t^{5} + q^{6} t^{2} - 57 \, q^{4} t^{4} - 44 \, q^{3} t^{5} - 7 \, q^{4} t^{3} + 9 \, q^{2} t^{5} + q^{2} t^{4} + 4 \, q t^{5} + t^{6}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[0, 4], [1, 6], [2, 5], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + 3 \, q^{13} t - 3 \, q^{12} t^{2} + q^{11} t^{3} + 6 \, q^{12} t - 8 \, q^{11} t^{2} - 8 \, q^{10} t^{3} + 6 \, q^{9} t^{4} - 30 \, q^{11} t - q^{10} t^{2} + 25 \, q^{9} t^{3} - 11 \, q^{8} t^{4} + q^{7} t^{5} + 8 \, q^{10} t + 40 \, q^{9} t^{2} + 42 \, q^{8} t^{3} - 14 \, q^{7} t^{4} - 8 \, q^{6} t^{5} + 14 \, q^{9} t + 6 \, q^{8} t^{2} - 140 \, q^{7} t^{3} + 6 \, q^{6} t^{4} + 14 \, q^{5} t^{5} - 8 \, q^{8} t - 14 \, q^{7} t^{2} + 42 \, q^{6} t^{3} + 40 \, q^{5} t^{4} + 8 \, q^{4} t^{5} + q^{7} t - 11 \, q^{6} t^{2} + 25 \, q^{5} t^{3} - q^{4} t^{4} - 30 \, q^{3} t^{5} + 6 \, q^{5} t^{2} - 8 \, q^{4} t^{3} - 8 \, q^{3} t^{4} + 6 \, q^{2} t^{5} + q^{3} t^{3} - 3 \, q^{2} t^{4} + 3 \, q t^{5} + t^{6}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[0, 4], [1, 5], [2, 5], [2, 6], [3, 5], [3, 6], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + 3 \, q^{13} t - 3 \, q^{12} t^{2} + q^{11} t^{3} + 4 \, q^{12} t - 8 \, q^{11} t^{2} - 8 \, q^{10} t^{3} + 6 \, q^{9} t^{4} - 28 \, q^{11} t + 9 \, q^{10} t^{2} + 27 \, q^{9} t^{3} - 13 \, q^{8} t^{4} + q^{7} t^{5} + 12 \, q^{10} t + 20 \, q^{9} t^{2} + 22 \, q^{8} t^{3} - 10 \, q^{7} t^{4} - 6 \, q^{6} t^{5} + 8 \, q^{9} t + 14 \, q^{8} t^{2} - 104 \, q^{7} t^{3} + 14 \, q^{6} t^{4} + 8 \, q^{5} t^{5} - 6 \, q^{8} t - 10 \, q^{7} t^{2} + 22 \, q^{6} t^{3} + 20 \, q^{5} t^{4} + 12 \, q^{4} t^{5} + q^{7} t - 13 \, q^{6} t^{2} + 27 \, q^{5} t^{3} + 9 \, q^{4} t^{4} - 28 \, q^{3} t^{5} + 6 \, q^{5} t^{2} - 8 \, q^{4} t^{3} - 8 \, q^{3} t^{4} + 4 \, q^{2} t^{5} + q^{3} t^{3} - 3 \, q^{2} t^{4} + 3 \, q t^{5} + t^{6}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 4], [1, 5], [2, 5], [2, 6], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{22} + 2 \, q^{21} t - q^{20} t^{2} + 5 \, q^{20} t - 6 \, q^{19} t^{2} + 3 \, q^{18} t^{3} - 23 \, q^{19} t - 9 \, q^{18} t^{2} - 17 \, q^{17} t^{3} + 9 \, q^{16} t^{4} + 3 \, q^{18} t + 23 \, q^{17} t^{2} + 78 \, q^{16} t^{3} - 35 \, q^{15} t^{4} + q^{14} t^{5} + 6 \, q^{17} t + 21 \, q^{16} t^{2} - 27 \, q^{15} t^{3} + 43 \, q^{14} t^{4} - 15 \, q^{13} t^{5} + 47 \, q^{15} t^{2} - 153 \, q^{14} t^{3} - 96 \, q^{13} t^{4} + 33 \, q^{12} t^{5} - q^{11} t^{6} - q^{15} t - 60 \, q^{14} t^{2} + 88 \, q^{13} t^{3} + 87 \, q^{12} t^{4} + 19 \, q^{11} t^{5} + 5 \, q^{10} t^{6} + 9 \, q^{13} t^{2} - 66 \, q^{12} t^{3} + 54 \, q^{11} t^{4} - 66 \, q^{10} t^{5} + 9 \, q^{9} t^{6} + 5 \, q^{12} t^{2} + 19 \, q^{11} t^{3} + 87 \, q^{10} t^{4} + 88 \, q^{9} t^{5} - 60 \, q^{8} t^{6} - q^{7} t^{7} - q^{11} t^{2} + 33 \, q^{10} t^{3} - 96 \, q^{9} t^{4} - 153 \, q^{8} t^{5} + 47 \, q^{7} t^{6} - 15 \, q^{9} t^{3} + 43 \, q^{8} t^{4} - 27 \, q^{7} t^{5} + 21 \, q^{6} t^{6} + 6 \, q^{5} t^{7} + q^{8} t^{3} - 35 \, q^{7} t^{4} + 78 \, q^{6} t^{5} + 23 \, q^{5} t^{6} + 3 \, q^{4} t^{7} + 9 \, q^{6} t^{4} - 17 \, q^{5} t^{5} - 9 \, q^{4} t^{6} - 23 \, q^{3} t^{7} + 3 \, q^{4} t^{5} - 6 \, q^{3} t^{6} + 5 \, q^{2} t^{7} - q^{2} t^{6} + 2 \, q t^{7} + t^{8}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 4], [1, 5], [1, 6], [2, 5], [2, 6], [3, 5], [3, 6], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + 2 \, q^{14} t - q^{13} t^{2} + 5 \, q^{13} t - 6 \, q^{12} t^{2} + 3 \, q^{11} t^{3} - 24 \, q^{12} t - 7 \, q^{11} t^{2} - 18 \, q^{10} t^{3} + 9 \, q^{9} t^{4} + 6 \, q^{11} t + 42 \, q^{10} t^{2} + 71 \, q^{9} t^{3} - 32 \, q^{8} t^{4} + q^{7} t^{5} + 10 \, q^{10} t - 18 \, q^{9} t^{2} - 66 \, q^{8} t^{3} + 28 \, q^{7} t^{4} - 6 \, q^{6} t^{5} - 6 \, q^{9} t + 28 \, q^{8} t^{2} - 66 \, q^{7} t^{3} - 18 \, q^{6} t^{4} + 10 \, q^{5} t^{5} + q^{8} t - 32 \, q^{7} t^{2} + 71 \, q^{6} t^{3} + 42 \, q^{5} t^{4} + 6 \, q^{4} t^{5} + 9 \, q^{6} t^{2} - 18 \, q^{5} t^{3} - 7 \, q^{4} t^{4} - 24 \, q^{3} t^{5} + 3 \, q^{4} t^{3} - 6 \, q^{3} t^{4} + 5 \, q^{2} t^{5} - q^{2} t^{4} + 2 \, q t^{5} + t^{6}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 4], [1, 5], [1, 6], [2, 5], [2, 6], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{22} + q^{21} t + 9 \, q^{20} t - 3 \, q^{19} t^{2} - 26 \, q^{19} t + 3 \, q^{18} t^{2} - 9 \, q^{17} t^{3} + 8 \, q^{18} t - 20 \, q^{17} t^{2} + 29 \, q^{16} t^{3} - q^{15} t^{4} + 10 \, q^{16} t^{2} + 6 \, q^{14} t^{4} + 2 \, q^{16} t + 92 \, q^{15} t^{2} - 30 \, q^{14} t^{3} + 8 \, q^{13} t^{4} - q^{15} t - 68 \, q^{14} t^{2} + 11 \, q^{13} t^{3} - 74 \, q^{12} t^{4} + 2 \, q^{11} t^{5} - q^{13} t^{2} - 34 \, q^{12} t^{3} + 63 \, q^{11} t^{4} - 10 \, q^{10} t^{5} + 10 \, q^{12} t^{2} - 63 \, q^{11} t^{3} + 34 \, q^{10} t^{4} + q^{9} t^{5} - 2 \, q^{11} t^{2} + 74 \, q^{10} t^{3} - 11 \, q^{9} t^{4} + 68 \, q^{8} t^{5} + q^{7} t^{6} - 8 \, q^{9} t^{3} + 30 \, q^{8} t^{4} - 92 \, q^{7} t^{5} - 2 \, q^{6} t^{6} - 6 \, q^{8} t^{3} - 10 \, q^{6} t^{5} + q^{7} t^{3} - 29 \, q^{6} t^{4} + 20 \, q^{5} t^{5} - 8 \, q^{4} t^{6} + 9 \, q^{5} t^{4} - 3 \, q^{4} t^{5} + 26 \, q^{3} t^{6} + 3 \, q^{3} t^{5} - 9 \, q^{2} t^{6} - q t^{6} - t^{7}}{{\left(q^{4} - t\right)}^{2} {\left(q^{2} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 4], [1, 5], [1, 6], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + q^{13} t + 9 \, q^{12} t - 3 \, q^{11} t^{2} - 26 \, q^{11} t + 3 \, q^{10} t^{2} - 9 \, q^{9} t^{3} + 6 \, q^{10} t - 18 \, q^{9} t^{2} + 29 \, q^{8} t^{3} - q^{7} t^{4} + 10 \, q^{9} t + 42 \, q^{8} t^{2} - 6 \, q^{7} t^{3} + 6 \, q^{6} t^{4} - 6 \, q^{8} t + 6 \, q^{7} t^{2} - 42 \, q^{6} t^{3} - 10 \, q^{5} t^{4} + q^{7} t - 29 \, q^{6} t^{2} + 18 \, q^{5} t^{3} - 6 \, q^{4} t^{4} + 9 \, q^{5} t^{2} - 3 \, q^{4} t^{3} + 26 \, q^{3} t^{4} + 3 \, q^{3} t^{3} - 9 \, q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 4], [1, 5], [1, 6], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{19} + q^{18} t + 6 \, q^{17} t - 4 \, q^{16} t^{2} - 17 \, q^{16} t - 7 \, q^{15} t^{2} - 4 \, q^{14} t^{3} - 10 \, q^{15} t - 12 \, q^{14} t^{2} + 30 \, q^{13} t^{3} + 6 \, q^{12} t^{4} + 20 \, q^{14} t + 96 \, q^{13} t^{2} + 8 \, q^{12} t^{3} - 7 \, q^{11} t^{4} - 3 \, q^{10} t^{5} - 8 \, q^{13} t - 54 \, q^{12} t^{2} - 58 \, q^{11} t^{3} - 66 \, q^{10} t^{4} + 6 \, q^{9} t^{5} + q^{12} t + 5 \, q^{11} t^{2} - 78 \, q^{10} t^{3} + 78 \, q^{9} t^{4} - 5 \, q^{8} t^{5} - q^{7} t^{6} - 6 \, q^{10} t^{2} + 66 \, q^{9} t^{3} + 58 \, q^{8} t^{4} + 54 \, q^{7} t^{5} + 8 \, q^{6} t^{6} + 3 \, q^{9} t^{2} + 7 \, q^{8} t^{3} - 8 \, q^{7} t^{4} - 96 \, q^{6} t^{5} - 20 \, q^{5} t^{6} - 6 \, q^{7} t^{3} - 30 \, q^{6} t^{4} + 12 \, q^{5} t^{5} + 10 \, q^{4} t^{6} + 4 \, q^{5} t^{4} + 7 \, q^{4} t^{5} + 17 \, q^{3} t^{6} + 4 \, q^{3} t^{5} - 6 \, q^{2} t^{6} - q t^{6} - t^{7}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{4} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 4], [1, 5], [1, 6], [2, 5], [2, 6], [3, 4], [3, 6], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + q^{17} t + 4 \, q^{16} t - 2 \, q^{15} t^{2} - 8 \, q^{15} t - q^{14} t^{2} - q^{13} t^{3} - 18 \, q^{14} t - 14 \, q^{13} t^{2} - 2 \, q^{12} t^{3} + 22 \, q^{13} t + 35 \, q^{12} t^{2} + 33 \, q^{11} t^{3} + 4 \, q^{10} t^{4} - 8 \, q^{12} t + 16 \, q^{11} t^{2} - 32 \, q^{10} t^{3} - 8 \, q^{9} t^{4} + q^{11} t - 15 \, q^{10} t^{2} - 16 \, q^{9} t^{3} - 15 \, q^{8} t^{4} + q^{7} t^{5} - 8 \, q^{9} t^{2} - 32 \, q^{8} t^{3} + 16 \, q^{7} t^{4} - 8 \, q^{6} t^{5} + 4 \, q^{8} t^{2} + 33 \, q^{7} t^{3} + 35 \, q^{6} t^{4} + 22 \, q^{5} t^{5} - 2 \, q^{6} t^{3} - 14 \, q^{5} t^{4} - 18 \, q^{4} t^{5} - q^{5} t^{3} - q^{4} t^{4} - 8 \, q^{3} t^{5} - 2 \, q^{3} t^{4} + 4 \, q^{2} t^{5} + q t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 4], [1, 5], [1, 6], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + q^{17} t + 2 \, q^{16} t - 2 \, q^{15} t^{2} - 4 \, q^{15} t - 3 \, q^{14} t^{2} - q^{13} t^{3} - 20 \, q^{14} t + 2 \, q^{13} t^{2} - 2 \, q^{12} t^{3} + 22 \, q^{13} t + 7 \, q^{12} t^{2} + 37 \, q^{11} t^{3} + 4 \, q^{10} t^{4} - 8 \, q^{12} t + 32 \, q^{11} t^{2} - 60 \, q^{10} t^{3} - 8 \, q^{9} t^{4} + q^{11} t - 17 \, q^{10} t^{2} + 32 \, q^{9} t^{3} - 17 \, q^{8} t^{4} + q^{7} t^{5} - 8 \, q^{9} t^{2} - 60 \, q^{8} t^{3} + 32 \, q^{7} t^{4} - 8 \, q^{6} t^{5} + 4 \, q^{8} t^{2} + 37 \, q^{7} t^{3} + 7 \, q^{6} t^{4} + 22 \, q^{5} t^{5} - 2 \, q^{6} t^{3} + 2 \, q^{5} t^{4} - 20 \, q^{4} t^{5} - q^{5} t^{3} - 3 \, q^{4} t^{4} - 4 \, q^{3} t^{5} - 2 \, q^{3} t^{4} + 2 \, q^{2} t^{5} + q t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 4], [1, 5], [1, 6], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + 4 \, q^{19} t - 6 \, q^{18} t^{2} + 4 \, q^{17} t^{3} - q^{16} t^{4} - 3 \, q^{18} t - 20 \, q^{17} t^{2} + 4 \, q^{16} t^{3} + 10 \, q^{15} t^{4} - 5 \, q^{14} t^{5} - 19 \, q^{17} t + 33 \, q^{16} t^{2} + 62 \, q^{15} t^{3} - 46 \, q^{14} t^{4} + 3 \, q^{13} t^{5} + 5 \, q^{12} t^{6} + 47 \, q^{15} t^{2} - 47 \, q^{14} t^{3} - 62 \, q^{13} t^{4} + 18 \, q^{12} t^{5} + 3 \, q^{11} t^{6} - q^{10} t^{7} + 16 \, q^{15} t + 16 \, q^{14} t^{2} - 179 \, q^{13} t^{3} + 58 \, q^{12} t^{4} + 114 \, q^{11} t^{5} - 34 \, q^{10} t^{6} - 3 \, q^{9} t^{7} - 8 \, q^{14} t - 36 \, q^{13} t^{2} + 24 \, q^{12} t^{3} + 211 \, q^{11} t^{4} - 86 \, q^{10} t^{5} - 22 \, q^{9} t^{6} + 2 \, q^{8} t^{7} - q^{7} t^{8} + q^{13} t - 2 \, q^{12} t^{2} + 22 \, q^{11} t^{3} + 86 \, q^{10} t^{4} - 211 \, q^{9} t^{5} - 24 \, q^{8} t^{6} + 36 \, q^{7} t^{7} + 8 \, q^{6} t^{8} + 3 \, q^{11} t^{2} + 34 \, q^{10} t^{3} - 114 \, q^{9} t^{4} - 58 \, q^{8} t^{5} + 179 \, q^{7} t^{6} - 16 \, q^{6} t^{7} - 16 \, q^{5} t^{8} + q^{10} t^{2} - 3 \, q^{9} t^{3} - 18 \, q^{8} t^{4} + 62 \, q^{7} t^{5} + 47 \, q^{6} t^{6} - 47 \, q^{5} t^{7} - 5 \, q^{8} t^{3} - 3 \, q^{7} t^{4} + 46 \, q^{6} t^{5} - 62 \, q^{5} t^{6} - 33 \, q^{4} t^{7} + 19 \, q^{3} t^{8} + 5 \, q^{6} t^{4} - 10 \, q^{5} t^{5} - 4 \, q^{4} t^{6} + 20 \, q^{3} t^{7} + 3 \, q^{2} t^{8} + q^{4} t^{5} - 4 \, q^{3} t^{6} + 6 \, q^{2} t^{7} - 4 \, q t^{8} - t^{9}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[0, 4], [1, 6], [2, 4], [2, 5], [3, 5], [3, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{19} + q^{18} t + q^{17} t - q^{16} t^{2} + 3 \, q^{16} t - 3 \, q^{15} t^{2} - 30 \, q^{15} t - 7 \, q^{14} t^{2} - 3 \, q^{13} t^{3} + 26 \, q^{14} t + 17 \, q^{13} t^{2} + 17 \, q^{12} t^{3} - 8 \, q^{13} t + 16 \, q^{12} t^{2} + 3 \, q^{11} t^{3} + 7 \, q^{10} t^{4} + q^{12} t + 13 \, q^{11} t^{2} - 27 \, q^{10} t^{3} - 27 \, q^{9} t^{4} - 27 \, q^{10} t^{2} - 27 \, q^{9} t^{3} + 13 \, q^{8} t^{4} + q^{7} t^{5} + 7 \, q^{9} t^{2} + 3 \, q^{8} t^{3} + 16 \, q^{7} t^{4} - 8 \, q^{6} t^{5} + 17 \, q^{7} t^{3} + 17 \, q^{6} t^{4} + 26 \, q^{5} t^{5} - 3 \, q^{6} t^{3} - 7 \, q^{5} t^{4} - 30 \, q^{4} t^{5} - 3 \, q^{4} t^{4} + 3 \, q^{3} t^{5} - q^{3} t^{4} + q^{2} t^{5} + q t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 4], [1, 5], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + 2 \, q^{18} t + 7 \, q^{17} t - q^{16} t^{2} - 36 \, q^{16} t - 8 \, q^{15} t^{2} + 28 \, q^{15} t - 5 \, q^{14} t^{2} - 3 \, q^{13} t^{3} - 8 \, q^{14} t + 44 \, q^{13} t^{2} + 18 \, q^{12} t^{3} + q^{13} t + 6 \, q^{12} t^{2} + 23 \, q^{11} t^{3} + 7 \, q^{10} t^{4} - 28 \, q^{11} t^{2} - 96 \, q^{10} t^{3} - 28 \, q^{9} t^{4} + 7 \, q^{10} t^{2} + 23 \, q^{9} t^{3} + 6 \, q^{8} t^{4} + q^{7} t^{5} + 18 \, q^{8} t^{3} + 44 \, q^{7} t^{4} - 8 \, q^{6} t^{5} - 3 \, q^{7} t^{3} - 5 \, q^{6} t^{4} + 28 \, q^{5} t^{5} - 8 \, q^{5} t^{4} - 36 \, q^{4} t^{5} - q^{4} t^{4} + 7 \, q^{3} t^{5} + 2 \, q^{2} t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 4], [0, 6], [1, 5], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 6 \, q^{16} t - 4 \, q^{15} t^{2} + q^{13} t^{4} - 7 \, q^{15} t - 28 \, q^{14} t^{2} + 14 \, q^{12} t^{4} - 7 \, q^{11} t^{5} - 20 \, q^{14} t + 43 \, q^{13} t^{2} + 96 \, q^{12} t^{3} - 48 \, q^{11} t^{4} + 8 \, q^{10} t^{5} + q^{9} t^{6} + 10 \, q^{13} t + 50 \, q^{12} t^{2} - 99 \, q^{11} t^{3} - 90 \, q^{10} t^{4} + 4 \, q^{9} t^{5} + 12 \, q^{8} t^{6} + q^{7} t^{7} + 8 \, q^{12} t - 6 \, q^{11} t^{2} - 182 \, q^{10} t^{3} + 158 \, q^{9} t^{4} + 124 \, q^{8} t^{5} - 40 \, q^{7} t^{6} - 6 \, q^{6} t^{7} - 6 \, q^{11} t - 40 \, q^{10} t^{2} + 124 \, q^{9} t^{3} + 158 \, q^{8} t^{4} - 182 \, q^{7} t^{5} - 6 \, q^{6} t^{6} + 8 \, q^{5} t^{7} + q^{10} t + 12 \, q^{9} t^{2} + 4 \, q^{8} t^{3} - 90 \, q^{7} t^{4} - 99 \, q^{6} t^{5} + 50 \, q^{5} t^{6} + 10 \, q^{4} t^{7} + q^{8} t^{2} + 8 \, q^{7} t^{3} - 48 \, q^{6} t^{4} + 96 \, q^{5} t^{5} + 43 \, q^{4} t^{6} - 20 \, q^{3} t^{7} - 7 \, q^{6} t^{3} + 14 \, q^{5} t^{4} - 28 \, q^{3} t^{6} - 7 \, q^{2} t^{7} + q^{4} t^{4} - 4 \, q^{2} t^{6} + 6 \, q t^{7} + t^{8}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[0, 4], [1, 4], [2, 5], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{16} t - 2 \, q^{15} t^{2} - q^{14} t^{3} + q^{16} + 2 \, q^{15} t - 3 \, q^{14} t^{2} + 8 \, q^{13} t^{3} + 2 \, q^{12} t^{4} - 6 \, q^{14} t - 5 \, q^{13} t^{2} - 3 \, q^{12} t^{3} - 5 \, q^{11} t^{4} - 3 \, q^{10} t^{5} - 3 \, q^{13} t + 15 \, q^{12} t^{2} + 19 \, q^{11} t^{3} + q^{10} t^{4} + 6 \, q^{9} t^{5} - 14 \, q^{12} t + 22 \, q^{11} t^{2} - 36 \, q^{10} t^{3} - 45 \, q^{9} t^{4} + 2 \, q^{8} t^{5} - q^{7} t^{6} + 20 \, q^{11} t + 4 \, q^{10} t^{2} + 3 \, q^{9} t^{3} + 72 \, q^{8} t^{4} + 5 \, q^{7} t^{5} + 8 \, q^{6} t^{6} - 8 \, q^{10} t - 5 \, q^{9} t^{2} - 72 \, q^{8} t^{3} - 3 \, q^{7} t^{4} - 4 \, q^{6} t^{5} - 20 \, q^{5} t^{6} + q^{9} t - 2 \, q^{8} t^{2} + 45 \, q^{7} t^{3} + 36 \, q^{6} t^{4} - 22 \, q^{5} t^{5} + 14 \, q^{4} t^{6} - 6 \, q^{7} t^{2} - q^{6} t^{3} - 19 \, q^{5} t^{4} - 15 \, q^{4} t^{5} + 3 \, q^{3} t^{6} + 3 \, q^{6} t^{2} + 5 \, q^{5} t^{3} + 3 \, q^{4} t^{4} + 5 \, q^{3} t^{5} + 6 \, q^{2} t^{6} - 2 \, q^{4} t^{3} - 8 \, q^{3} t^{4} + 3 \, q^{2} t^{5} - 2 \, q t^{6} - t^{7} + q^{2} t^{4} + 2 \, q t^{5} - t^{6}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[0, 4], [1, 4], [2, 5], [2, 6], [3, 5], [3, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 5 \, q^{16} t - q^{15} t^{2} - q^{14} t^{3} - 8 \, q^{15} t - 12 \, q^{14} t^{2} + 6 \, q^{13} t^{3} + 2 \, q^{12} t^{4} - 3 \, q^{14} t - 6 \, q^{13} t^{2} + 2 \, q^{12} t^{3} - 2 \, q^{11} t^{4} - 3 \, q^{10} t^{5} - 14 \, q^{13} t + 68 \, q^{12} t^{2} + 36 \, q^{11} t^{3} - 8 \, q^{10} t^{4} + 6 \, q^{9} t^{5} + 20 \, q^{12} t - 26 \, q^{11} t^{2} - 67 \, q^{10} t^{3} - 41 \, q^{9} t^{4} + 3 \, q^{8} t^{5} - q^{7} t^{6} - 8 \, q^{11} t + 4 \, q^{10} t^{2} - 60 \, q^{9} t^{3} + 60 \, q^{8} t^{4} - 4 \, q^{7} t^{5} + 8 \, q^{6} t^{6} + q^{10} t - 3 \, q^{9} t^{2} + 41 \, q^{8} t^{3} + 67 \, q^{7} t^{4} + 26 \, q^{6} t^{5} - 20 \, q^{5} t^{6} - 6 \, q^{8} t^{2} + 8 \, q^{7} t^{3} - 36 \, q^{6} t^{4} - 68 \, q^{5} t^{5} + 14 \, q^{4} t^{6} + 3 \, q^{7} t^{2} + 2 \, q^{6} t^{3} - 2 \, q^{5} t^{4} + 6 \, q^{4} t^{5} + 3 \, q^{3} t^{6} - 2 \, q^{5} t^{3} - 6 \, q^{4} t^{4} + 12 \, q^{3} t^{5} + 8 \, q^{2} t^{6} + q^{3} t^{4} + q^{2} t^{5} - 5 \, q t^{6} - t^{7}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 4], [1, 4], [2, 5], [2, 6], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 3 \, q^{16} t - 3 \, q^{15} t^{2} + q^{14} t^{3} - 2 \, q^{15} t - 8 \, q^{14} t^{2} + 4 \, q^{13} t^{3} - 9 \, q^{14} t + 2 \, q^{12} t^{3} + 4 \, q^{11} t^{4} - 3 \, q^{10} t^{5} - 12 \, q^{13} t + 52 \, q^{12} t^{2} + 22 \, q^{11} t^{3} - 22 \, q^{10} t^{4} + 4 \, q^{9} t^{5} + 20 \, q^{12} t - 26 \, q^{11} t^{2} - 43 \, q^{10} t^{3} - 21 \, q^{9} t^{4} + 15 \, q^{8} t^{5} - q^{7} t^{6} - 8 \, q^{11} t + 22 \, q^{10} t^{2} - 60 \, q^{9} t^{3} + 60 \, q^{8} t^{4} - 22 \, q^{7} t^{5} + 8 \, q^{6} t^{6} + q^{10} t - 15 \, q^{9} t^{2} + 21 \, q^{8} t^{3} + 43 \, q^{7} t^{4} + 26 \, q^{6} t^{5} - 20 \, q^{5} t^{6} - 4 \, q^{8} t^{2} + 22 \, q^{7} t^{3} - 22 \, q^{6} t^{4} - 52 \, q^{5} t^{5} + 12 \, q^{4} t^{6} + 3 \, q^{7} t^{2} - 4 \, q^{6} t^{3} - 2 \, q^{5} t^{4} + 9 \, q^{3} t^{6} - 4 \, q^{4} t^{4} + 8 \, q^{3} t^{5} + 2 \, q^{2} t^{6} - q^{3} t^{4} + 3 \, q^{2} t^{5} - 3 \, q t^{6} - t^{7}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 4], [1, 4], [1, 6], [2, 5], [2, 6], [3, 5], [3, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + 8 \, q^{16} t - 9 \, q^{15} t - 2 \, q^{14} t^{2} - 26 \, q^{14} t - 38 \, q^{13} t^{2} - 6 \, q^{12} t^{3} + 30 \, q^{13} t + 78 \, q^{12} t^{2} + 24 \, q^{11} t^{3} + 3 \, q^{10} t^{4} - 10 \, q^{12} t + 42 \, q^{10} t^{3} - 2 \, q^{9} t^{4} + q^{11} t - 24 \, q^{10} t^{2} - 140 \, q^{9} t^{3} - 24 \, q^{8} t^{4} + q^{7} t^{5} - 2 \, q^{9} t^{2} + 42 \, q^{8} t^{3} - 10 \, q^{6} t^{5} + 3 \, q^{8} t^{2} + 24 \, q^{7} t^{3} + 78 \, q^{6} t^{4} + 30 \, q^{5} t^{5} - 6 \, q^{6} t^{3} - 38 \, q^{5} t^{4} - 26 \, q^{4} t^{5} - 2 \, q^{4} t^{4} - 9 \, q^{3} t^{5} + 8 \, q^{2} t^{5} + t^{6}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 4], [0, 6], [1, 4], [1, 6], [2, 5], [2, 6], [3, 4], [3, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{23} + 5 \, q^{21} t - 6 \, q^{20} t - q^{19} t^{2} - 19 \, q^{19} t - 14 \, q^{18} t^{2} - q^{17} t^{3} + 18 \, q^{18} t + 8 \, q^{17} t^{2} - 4 \, q^{16} t^{3} - 6 \, q^{17} t + 46 \, q^{16} t^{2} + 48 \, q^{15} t^{3} + 4 \, q^{14} t^{4} + q^{16} t + 6 \, q^{15} t^{2} - 28 \, q^{14} t^{3} - 6 \, q^{13} t^{4} - 35 \, q^{14} t^{2} - 83 \, q^{13} t^{3} - 24 \, q^{12} t^{4} + q^{11} t^{5} + 12 \, q^{13} t^{2} + 7 \, q^{12} t^{3} - 7 \, q^{11} t^{4} - 12 \, q^{10} t^{5} - q^{12} t^{2} + 24 \, q^{11} t^{3} + 83 \, q^{10} t^{4} + 35 \, q^{9} t^{5} + 6 \, q^{10} t^{3} + 28 \, q^{9} t^{4} - 6 \, q^{8} t^{5} - q^{7} t^{6} - 4 \, q^{9} t^{3} - 48 \, q^{8} t^{4} - 46 \, q^{7} t^{5} + 6 \, q^{6} t^{6} + 4 \, q^{7} t^{4} - 8 \, q^{6} t^{5} - 18 \, q^{5} t^{6} + q^{6} t^{4} + 14 \, q^{5} t^{5} + 19 \, q^{4} t^{6} + q^{4} t^{5} + 6 \, q^{3} t^{6} - 5 \, q^{2} t^{6} - t^{7}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 4], [0, 6], [1, 4], [1, 6], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + 7 \, q^{14} t - 7 \, q^{13} t + 3 \, q^{12} t^{2} - 22 \, q^{12} t - 25 \, q^{11} t^{2} - 3 \, q^{10} t^{3} + 24 \, q^{11} t + 16 \, q^{10} t^{2} + q^{9} t^{3} - 8 \, q^{10} t + 52 \, q^{9} t^{2} + 38 \, q^{8} t^{3} - q^{7} t^{4} + q^{9} t - 38 \, q^{8} t^{2} - 52 \, q^{7} t^{3} + 8 \, q^{6} t^{4} - q^{7} t^{2} - 16 \, q^{6} t^{3} - 24 \, q^{5} t^{4} + 3 \, q^{6} t^{2} + 25 \, q^{5} t^{3} + 22 \, q^{4} t^{4} - 3 \, q^{4} t^{3} + 7 \, q^{3} t^{4} - 7 \, q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 4], [0, 5], [1, 4], [1, 5], [2, 5], [2, 6], [3, 4], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{24} + 11 \, q^{21} t - 28 \, q^{20} t + 12 \, q^{19} t + 11 \, q^{18} t^{2} - 2 \, q^{18} t - 96 \, q^{17} t^{2} + q^{17} t + 197 \, q^{16} t^{2} + q^{15} t^{3} - 128 \, q^{15} t^{2} - 12 \, q^{14} t^{3} + 39 \, q^{14} t^{2} + 111 \, q^{13} t^{3} - 8 \, q^{13} t^{2} - 220 \, q^{12} t^{3} - 8 \, q^{11} t^{4} + 111 \, q^{11} t^{3} + 39 \, q^{10} t^{4} - 12 \, q^{10} t^{3} - 128 \, q^{9} t^{4} + q^{9} t^{3} + 197 \, q^{8} t^{4} + q^{7} t^{5} - 96 \, q^{7} t^{4} - 2 \, q^{6} t^{5} + 11 \, q^{6} t^{4} + 12 \, q^{5} t^{5} - 28 \, q^{4} t^{5} + 11 \, q^{3} t^{5} + t^{6}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 4], [0, 5], [0, 6], [1, 4], [1, 5], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + 11 \, q^{17} t - 31 \, q^{16} t + 22 \, q^{15} t + 11 \, q^{14} t^{2} - 10 \, q^{14} t - 73 \, q^{13} t^{2} + 3 \, q^{13} t + 134 \, q^{12} t^{2} + q^{11} t^{3} - 74 \, q^{11} t^{2} - 13 \, q^{10} t^{3} + 13 \, q^{10} t^{2} + 74 \, q^{9} t^{3} - q^{9} t^{2} - 134 \, q^{8} t^{3} - 3 \, q^{7} t^{4} + 73 \, q^{7} t^{3} + 10 \, q^{6} t^{4} - 11 \, q^{6} t^{3} - 22 \, q^{5} t^{4} + 31 \, q^{4} t^{4} - 11 \, q^{3} t^{4} - t^{5}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 4], [0, 5], [0, 6], [1, 4], [1, 5], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{21} + 11 \, q^{18} t - 32 \, q^{17} t + 25 \, q^{16} t + 11 \, q^{15} t^{2} - 12 \, q^{15} t - 56 \, q^{14} t^{2} + 3 \, q^{14} t + 79 \, q^{13} t^{2} + q^{12} t^{3} - 12 \, q^{12} t^{2} - 8 \, q^{11} t^{3} - 19 \, q^{11} t^{2} + 19 \, q^{10} t^{3} + 8 \, q^{10} t^{2} + 12 \, q^{9} t^{3} - q^{9} t^{2} - 79 \, q^{8} t^{3} - 3 \, q^{7} t^{4} + 56 \, q^{7} t^{3} + 12 \, q^{6} t^{4} - 11 \, q^{6} t^{3} - 25 \, q^{5} t^{4} + 32 \, q^{4} t^{4} - 11 \, q^{3} t^{4} - t^{5}}{{\left(q^{5} - t\right)} {\left(q^{3} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 4], [0, 5], [0, 6], [1, 4], [1, 5], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + 11 \, q^{13} t - 32 \, q^{12} t + 24 \, q^{11} t + 11 \, q^{10} t^{2} - 8 \, q^{10} t - 56 \, q^{9} t^{2} + q^{9} t + 96 \, q^{8} t^{2} + q^{7} t^{3} - 56 \, q^{7} t^{2} - 8 \, q^{6} t^{3} + 11 \, q^{6} t^{2} + 24 \, q^{5} t^{3} - 32 \, q^{4} t^{3} + 11 \, q^{3} t^{3} + t^{4}}{{\left(q^{3} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 15 edges: | [[0, 4], [0, 5], [0, 6], [1, 4], [1, 5], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{11} t^{3} - 4 \, q^{10} t^{4} + 4 \, q^{9} t^{5} - 12 \, q^{8} t^{6} - q^{7} t^{7} + 11 \, q^{11} t^{2} - 44 \, q^{10} t^{3} + 76 \, q^{9} t^{4} - 4 \, q^{8} t^{5} + 37 \, q^{7} t^{6} + 8 \, q^{6} t^{7} + 11 \, q^{11} t - 44 \, q^{10} t^{2} + 30 \, q^{9} t^{3} - 60 \, q^{8} t^{4} - 185 \, q^{7} t^{5} + 28 \, q^{6} t^{6} - 20 \, q^{5} t^{7} + q^{11} - 4 \, q^{10} t - 58 \, q^{9} t^{2} + 434 \, q^{8} t^{3} - 411 \, q^{7} t^{4} + 528 \, q^{6} t^{5} - 160 \, q^{5} t^{6} + 6 \, q^{4} t^{7} - 52 \, q^{9} t + 198 \, q^{8} t^{2} - 674 \, q^{7} t^{3} + 434 \, q^{6} t^{4} - 146 \, q^{5} t^{5} + 28 \, q^{4} t^{6} + 44 \, q^{3} t^{7} + 44 \, q^{8} t + 28 \, q^{7} t^{2} - 146 \, q^{6} t^{3} + 434 \, q^{5} t^{4} - 674 \, q^{4} t^{5} + 198 \, q^{3} t^{6} - 52 \, q^{2} t^{7} + 6 \, q^{7} t - 160 \, q^{6} t^{2} + 528 \, q^{5} t^{3} - 411 \, q^{4} t^{4} + 434 \, q^{3} t^{5} - 58 \, q^{2} t^{6} - 4 \, q t^{7} + t^{8} - 20 \, q^{6} t + 28 \, q^{5} t^{2} - 185 \, q^{4} t^{3} - 60 \, q^{3} t^{4} + 30 \, q^{2} t^{5} - 44 \, q t^{6} + 11 \, t^{7} + 8 \, q^{5} t + 37 \, q^{4} t^{2} - 4 \, q^{3} t^{3} + 76 \, q^{2} t^{4} - 44 \, q t^{5} + 11 \, t^{6} - q^{4} t - 12 \, q^{3} t^{2} + 4 \, q^{2} t^{3} - 4 \, q t^{4} + t^{5}}{{\left(q - t\right)}^{4} q^{7} {\left(t - 1\right)}^{5}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 3 edges: | [[2, 3], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{7} t^{3} + 11 \, q^{7} t^{2} - 4 \, q^{6} t^{3} + 11 \, q^{7} t - 28 \, q^{6} t^{2} + 2 \, q^{5} t^{3} + q^{7} - 16 \, q^{6} t + 2 \, q^{5} t^{2} + 6 \, q^{4} t^{3} - 4 \, q^{5} t + 18 \, q^{4} t^{2} + 18 \, q^{3} t^{2} - 4 \, q^{2} t^{3} + 6 \, q^{3} t + 2 \, q^{2} t^{2} - 16 \, q t^{3} + t^{4} + 2 \, q^{2} t - 28 \, q t^{2} + 11 \, t^{3} - 4 \, q t + 11 \, t^{2} + t}{q^{7} {\left(t - 1\right)}^{5}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 4 edges: | [[2, 3], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{11} + 12 \, q^{10} t + 8 \, q^{9} t^{2} - 8 \, q^{8} t^{3} - q^{7} t^{4} - 20 \, q^{9} t - 44 \, q^{8} t^{2} + 12 \, q^{7} t^{3} + 4 \, q^{6} t^{4} - 10 \, q^{8} t + 36 \, q^{7} t^{2} + 34 \, q^{6} t^{3} + 16 \, q^{7} t + 48 \, q^{6} t^{2} - 48 \, q^{5} t^{3} - 16 \, q^{4} t^{4} - 34 \, q^{5} t^{2} - 36 \, q^{4} t^{3} + 10 \, q^{3} t^{4} - 4 \, q^{5} t - 12 \, q^{4} t^{2} + 44 \, q^{3} t^{3} + 20 \, q^{2} t^{4} + q^{4} t + 8 \, q^{3} t^{2} - 8 \, q^{2} t^{3} - 12 \, q t^{4} - t^{5}}{{\left(q - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[0, 6], [1, 6], [2, 3], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} t^{2} + 4 \, q^{15} t - 4 \, q^{14} t^{2} - 4 \, q^{13} t^{3} + q^{15} - 8 \, q^{14} t + 16 \, q^{12} t^{3} + 16 \, q^{11} t^{4} + 22 \, q^{13} t - 36 \, q^{12} t^{2} - 74 \, q^{11} t^{3} - 46 \, q^{10} t^{4} + 12 \, q^{9} t^{5} - 64 \, q^{12} t + 100 \, q^{11} t^{2} + 302 \, q^{10} t^{3} + 34 \, q^{9} t^{4} - 88 \, q^{8} t^{5} - q^{7} t^{6} + 54 \, q^{11} t - 116 \, q^{10} t^{2} - 450 \, q^{9} t^{3} + 10 \, q^{8} t^{4} + 214 \, q^{7} t^{5} + 2 \, q^{6} t^{6} - 14 \, q^{10} t + 214 \, q^{9} t^{2} + 189 \, q^{8} t^{3} - 189 \, q^{7} t^{4} - 214 \, q^{6} t^{5} + 14 \, q^{5} t^{6} - 2 \, q^{9} t - 214 \, q^{8} t^{2} - 10 \, q^{7} t^{3} + 450 \, q^{6} t^{4} + 116 \, q^{5} t^{5} - 54 \, q^{4} t^{6} + q^{8} t + 88 \, q^{7} t^{2} - 34 \, q^{6} t^{3} - 302 \, q^{5} t^{4} - 100 \, q^{4} t^{5} + 64 \, q^{3} t^{6} - 12 \, q^{6} t^{2} + 46 \, q^{5} t^{3} + 74 \, q^{4} t^{4} + 36 \, q^{3} t^{5} - 22 \, q^{2} t^{6} - 16 \, q^{4} t^{3} - 16 \, q^{3} t^{4} + 8 \, q t^{6} - t^{7} + 4 \, q^{2} t^{4} + 4 \, q t^{5} - 4 \, t^{6} - t^{5}}{{\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{4}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 6 edges: | [[2, 3], [2, 6], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{17} t - 2 \, q^{16} t^{2} - q^{15} t^{3} + q^{17} - 3 \, q^{15} t^{2} + 2 \, q^{14} t^{3} + 4 \, q^{13} t^{4} + 10 \, q^{15} t - 16 \, q^{14} t^{2} + 20 \, q^{13} t^{3} + 28 \, q^{12} t^{4} - 14 \, q^{11} t^{5} - 48 \, q^{14} t + 44 \, q^{13} t^{2} + 4 \, q^{12} t^{3} - 156 \, q^{11} t^{4} + 34 \, q^{10} t^{5} - 8 \, q^{9} t^{6} + 36 \, q^{13} t - 28 \, q^{12} t^{2} + 52 \, q^{11} t^{3} + 130 \, q^{10} t^{4} - 47 \, q^{9} t^{5} + 68 \, q^{8} t^{6} + q^{7} t^{7} - 4 \, q^{12} t + 144 \, q^{11} t^{2} - 312 \, q^{10} t^{3} + 29 \, q^{9} t^{4} + 206 \, q^{8} t^{5} - 171 \, q^{7} t^{6} - 4 \, q^{6} t^{7} - 4 \, q^{11} t - 171 \, q^{10} t^{2} + 206 \, q^{9} t^{3} + 29 \, q^{8} t^{4} - 312 \, q^{7} t^{5} + 144 \, q^{6} t^{6} - 4 \, q^{5} t^{7} + q^{10} t + 68 \, q^{9} t^{2} - 47 \, q^{8} t^{3} + 130 \, q^{7} t^{4} + 52 \, q^{6} t^{5} - 28 \, q^{5} t^{6} + 36 \, q^{4} t^{7} - 8 \, q^{8} t^{2} + 34 \, q^{7} t^{3} - 156 \, q^{6} t^{4} + 4 \, q^{5} t^{5} + 44 \, q^{4} t^{6} - 48 \, q^{3} t^{7} - 14 \, q^{6} t^{3} + 28 \, q^{5} t^{4} + 20 \, q^{4} t^{5} - 16 \, q^{3} t^{6} + 10 \, q^{2} t^{7} + 4 \, q^{4} t^{4} + 2 \, q^{3} t^{5} - 3 \, q^{2} t^{6} + t^{8} - q^{2} t^{5} - 2 \, q t^{6} + t^{7}}{{\left(q^{2} - t\right)}^{4} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[1, 6], [2, 3], [2, 6], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + 7 \, q^{17} t - 8 \, q^{16} t^{2} + 4 \, q^{15} t^{3} + q^{14} t^{4} - q^{13} t^{5} - 5 \, q^{16} t - 47 \, q^{15} t^{2} - 4 \, q^{14} t^{3} + 48 \, q^{13} t^{4} - 37 \, q^{12} t^{5} + 9 \, q^{11} t^{6} - 38 \, q^{15} t + 107 \, q^{14} t^{2} + 211 \, q^{13} t^{3} - 210 \, q^{12} t^{4} + 90 \, q^{11} t^{5} - 21 \, q^{10} t^{6} + 5 \, q^{9} t^{7} + 34 \, q^{14} t + 16 \, q^{13} t^{2} - 335 \, q^{12} t^{3} - 127 \, q^{11} t^{4} + 28 \, q^{10} t^{5} + 92 \, q^{9} t^{6} - 43 \, q^{8} t^{7} - q^{7} t^{8} - 4 \, q^{13} t + 16 \, q^{12} t^{2} - 212 \, q^{11} t^{3} + 720 \, q^{10} t^{4} + 226 \, q^{9} t^{5} - 332 \, q^{8} t^{6} + 86 \, q^{7} t^{7} + 4 \, q^{6} t^{8} - 4 \, q^{12} t - 86 \, q^{11} t^{2} + 332 \, q^{10} t^{3} - 226 \, q^{9} t^{4} - 720 \, q^{8} t^{5} + 212 \, q^{7} t^{6} - 16 \, q^{6} t^{7} + 4 \, q^{5} t^{8} + q^{11} t + 43 \, q^{10} t^{2} - 92 \, q^{9} t^{3} - 28 \, q^{8} t^{4} + 127 \, q^{7} t^{5} + 335 \, q^{6} t^{6} - 16 \, q^{5} t^{7} - 34 \, q^{4} t^{8} - 5 \, q^{9} t^{2} + 21 \, q^{8} t^{3} - 90 \, q^{7} t^{4} + 210 \, q^{6} t^{5} - 211 \, q^{5} t^{6} - 107 \, q^{4} t^{7} + 38 \, q^{3} t^{8} - 9 \, q^{7} t^{3} + 37 \, q^{6} t^{4} - 48 \, q^{5} t^{5} + 4 \, q^{4} t^{6} + 47 \, q^{3} t^{7} + 5 \, q^{2} t^{8} + q^{5} t^{4} - q^{4} t^{5} - 4 \, q^{3} t^{6} + 8 \, q^{2} t^{7} - 7 \, q t^{8} - t^{9}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{5} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 6 edges: | [[0, 6], [1, 6], [2, 3], [3, 5], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 6 \, q^{16} t - 4 \, q^{15} t^{2} + q^{13} t^{4} - 3 \, q^{15} t - 28 \, q^{14} t^{2} - 12 \, q^{13} t^{3} + 22 \, q^{12} t^{4} - 7 \, q^{11} t^{5} - 34 \, q^{14} t + 39 \, q^{13} t^{2} + 136 \, q^{12} t^{3} - 64 \, q^{11} t^{4} + 6 \, q^{10} t^{5} - 3 \, q^{9} t^{6} + 28 \, q^{13} t + 54 \, q^{12} t^{2} - 131 \, q^{11} t^{3} - 90 \, q^{10} t^{4} - 6 \, q^{9} t^{5} + 32 \, q^{8} t^{6} + q^{7} t^{7} - 2 \, q^{12} t + 10 \, q^{11} t^{2} - 204 \, q^{10} t^{3} + 166 \, q^{9} t^{4} + 162 \, q^{8} t^{5} - 72 \, q^{7} t^{6} - 4 \, q^{6} t^{7} - 4 \, q^{11} t - 72 \, q^{10} t^{2} + 162 \, q^{9} t^{3} + 166 \, q^{8} t^{4} - 204 \, q^{7} t^{5} + 10 \, q^{6} t^{6} - 2 \, q^{5} t^{7} + q^{10} t + 32 \, q^{9} t^{2} - 6 \, q^{8} t^{3} - 90 \, q^{7} t^{4} - 131 \, q^{6} t^{5} + 54 \, q^{5} t^{6} + 28 \, q^{4} t^{7} - 3 \, q^{8} t^{2} + 6 \, q^{7} t^{3} - 64 \, q^{6} t^{4} + 136 \, q^{5} t^{5} + 39 \, q^{4} t^{6} - 34 \, q^{3} t^{7} - 7 \, q^{6} t^{3} + 22 \, q^{5} t^{4} - 12 \, q^{4} t^{5} - 28 \, q^{3} t^{6} - 3 \, q^{2} t^{7} + q^{4} t^{4} - 4 \, q^{2} t^{6} + 6 \, q t^{7} + t^{8}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[0, 6], [1, 6], [2, 3], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 4 \, q^{16} t + q^{15} t^{2} + 6 \, q^{15} t - 10 \, q^{14} t^{2} - 4 \, q^{13} t^{3} - 42 \, q^{14} t - 22 \, q^{13} t^{2} - 28 \, q^{12} t^{3} + 14 \, q^{11} t^{4} + 30 \, q^{13} t + 36 \, q^{12} t^{2} + 224 \, q^{11} t^{3} - 24 \, q^{10} t^{4} + 6 \, q^{9} t^{5} - 2 \, q^{12} t + 120 \, q^{11} t^{2} - 336 \, q^{10} t^{3} - 31 \, q^{9} t^{4} - 58 \, q^{8} t^{5} - q^{7} t^{6} - 4 \, q^{11} t - 156 \, q^{10} t^{2} + 68 \, q^{9} t^{3} - 68 \, q^{8} t^{4} + 156 \, q^{7} t^{5} + 4 \, q^{6} t^{6} + q^{10} t + 58 \, q^{9} t^{2} + 31 \, q^{8} t^{3} + 336 \, q^{7} t^{4} - 120 \, q^{6} t^{5} + 2 \, q^{5} t^{6} - 6 \, q^{8} t^{2} + 24 \, q^{7} t^{3} - 224 \, q^{6} t^{4} - 36 \, q^{5} t^{5} - 30 \, q^{4} t^{6} - 14 \, q^{6} t^{3} + 28 \, q^{5} t^{4} + 22 \, q^{4} t^{5} + 42 \, q^{3} t^{6} + 4 \, q^{4} t^{4} + 10 \, q^{3} t^{5} - 6 \, q^{2} t^{6} - q^{2} t^{5} - 4 \, q t^{6} - t^{7}}{{\left(q^{2} - t\right)}^{4} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 6], [1, 6], [2, 3], [2, 6], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + 6 \, q^{14} t - 4 \, q^{13} t^{2} + q^{11} t^{4} - 8 \, q^{13} t - 24 \, q^{12} t^{2} + 4 \, q^{11} t^{3} + 8 \, q^{10} t^{4} - 4 \, q^{9} t^{5} - 14 \, q^{12} t + 47 \, q^{11} t^{2} + 52 \, q^{10} t^{3} - 34 \, q^{9} t^{4} + 6 \, q^{8} t^{5} - q^{7} t^{6} + 4 \, q^{11} t + 18 \, q^{10} t^{2} - 64 \, q^{9} t^{3} - 32 \, q^{8} t^{4} + 12 \, q^{7} t^{5} + 6 \, q^{6} t^{6} + 10 \, q^{10} t - 2 \, q^{9} t^{2} - 84 \, q^{8} t^{3} + 84 \, q^{7} t^{4} + 2 \, q^{6} t^{5} - 10 \, q^{5} t^{6} - 6 \, q^{9} t - 12 \, q^{8} t^{2} + 32 \, q^{7} t^{3} + 64 \, q^{6} t^{4} - 18 \, q^{5} t^{5} - 4 \, q^{4} t^{6} + q^{8} t - 6 \, q^{7} t^{2} + 34 \, q^{6} t^{3} - 52 \, q^{5} t^{4} - 47 \, q^{4} t^{5} + 14 \, q^{3} t^{6} + 4 \, q^{6} t^{2} - 8 \, q^{5} t^{3} - 4 \, q^{4} t^{4} + 24 \, q^{3} t^{5} + 8 \, q^{2} t^{6} - q^{4} t^{3} + 4 \, q^{2} t^{5} - 6 \, q t^{6} - t^{7}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[0, 6], [1, 6], [2, 3], [2, 5], [3, 5], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + 5 \, q^{13} t - q^{12} t^{2} - q^{11} t^{3} - 4 \, q^{12} t - 12 \, q^{11} t^{2} - 4 \, q^{10} t^{3} + 4 \, q^{9} t^{4} - 16 \, q^{11} t + 5 \, q^{10} t^{2} + 31 \, q^{9} t^{3} - 5 \, q^{8} t^{4} + q^{7} t^{5} + 4 \, q^{10} t + 34 \, q^{9} t^{2} + 2 \, q^{8} t^{3} - 18 \, q^{7} t^{4} - 6 \, q^{6} t^{5} + 10 \, q^{9} t + 8 \, q^{8} t^{2} - 76 \, q^{7} t^{3} + 8 \, q^{6} t^{4} + 10 \, q^{5} t^{5} - 6 \, q^{8} t - 18 \, q^{7} t^{2} + 2 \, q^{6} t^{3} + 34 \, q^{5} t^{4} + 4 \, q^{4} t^{5} + q^{7} t - 5 \, q^{6} t^{2} + 31 \, q^{5} t^{3} + 5 \, q^{4} t^{4} - 16 \, q^{3} t^{5} + 4 \, q^{5} t^{2} - 4 \, q^{4} t^{3} - 12 \, q^{3} t^{4} - 4 \, q^{2} t^{5} - q^{3} t^{3} - q^{2} t^{4} + 5 \, q t^{5} + t^{6}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 6], [1, 6], [2, 3], [2, 5], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{17} t - 4 \, q^{16} t^{2} - 6 \, q^{15} t^{3} + 4 \, q^{14} t^{4} - q^{13} t^{5} + q^{17} + 6 \, q^{16} t - 7 \, q^{15} t^{2} + 36 \, q^{14} t^{3} + 25 \, q^{13} t^{4} - 16 \, q^{12} t^{5} + 3 \, q^{11} t^{6} - 13 \, q^{15} t - 24 \, q^{14} t^{2} + 5 \, q^{13} t^{3} - 126 \, q^{12} t^{4} - 11 \, q^{11} t^{5} + 4 \, q^{10} t^{6} + 3 \, q^{9} t^{7} - 22 \, q^{14} t + 83 \, q^{13} t^{2} + 52 \, q^{12} t^{3} - 31 \, q^{11} t^{4} + 194 \, q^{10} t^{5} + 37 \, q^{9} t^{6} - 24 \, q^{8} t^{7} - q^{7} t^{8} + 24 \, q^{13} t + 44 \, q^{12} t^{2} - 235 \, q^{11} t^{3} + 160 \, q^{10} t^{4} - 70 \, q^{9} t^{5} - 208 \, q^{8} t^{6} + 29 \, q^{7} t^{7} + 4 \, q^{6} t^{8} - 2 \, q^{12} t - 48 \, q^{11} t^{2} - 100 \, q^{10} t^{3} + 190 \, q^{9} t^{4} - 190 \, q^{8} t^{5} + 100 \, q^{7} t^{6} + 48 \, q^{6} t^{7} + 2 \, q^{5} t^{8} - 4 \, q^{11} t - 29 \, q^{10} t^{2} + 208 \, q^{9} t^{3} + 70 \, q^{8} t^{4} - 160 \, q^{7} t^{5} + 235 \, q^{6} t^{6} - 44 \, q^{5} t^{7} - 24 \, q^{4} t^{8} + q^{10} t + 24 \, q^{9} t^{2} - 37 \, q^{8} t^{3} - 194 \, q^{7} t^{4} + 31 \, q^{6} t^{5} - 52 \, q^{5} t^{6} - 83 \, q^{4} t^{7} + 22 \, q^{3} t^{8} - 3 \, q^{8} t^{2} - 4 \, q^{7} t^{3} + 11 \, q^{6} t^{4} + 126 \, q^{5} t^{5} - 5 \, q^{4} t^{6} + 24 \, q^{3} t^{7} + 13 \, q^{2} t^{8} - 3 \, q^{6} t^{3} + 16 \, q^{5} t^{4} - 25 \, q^{4} t^{5} - 36 \, q^{3} t^{6} + 7 \, q^{2} t^{7} - 6 \, q t^{8} - t^{9} + q^{4} t^{4} - 4 \, q^{3} t^{5} + 6 \, q^{2} t^{6} + 4 \, q t^{7} - t^{8}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{4} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 6 edges: | [[1, 5], [2, 3], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{15} t - 4 \, q^{14} t^{2} - 6 \, q^{13} t^{3} + 4 \, q^{12} t^{4} - q^{11} t^{5} + q^{15} + 6 \, q^{14} t - 6 \, q^{13} t^{2} + 38 \, q^{12} t^{3} + 11 \, q^{11} t^{4} - 10 \, q^{10} t^{5} + 2 \, q^{9} t^{6} - 16 \, q^{13} t - 18 \, q^{12} t^{2} - 9 \, q^{11} t^{3} - 88 \, q^{10} t^{4} + 8 \, q^{9} t^{5} + 2 \, q^{8} t^{6} + q^{7} t^{7} - 8 \, q^{12} t + 77 \, q^{11} t^{2} + 8 \, q^{10} t^{3} + 18 \, q^{9} t^{4} + 86 \, q^{8} t^{5} - 7 \, q^{7} t^{6} - 6 \, q^{6} t^{7} + 6 \, q^{11} t + 10 \, q^{10} t^{2} - 120 \, q^{9} t^{3} + 90 \, q^{8} t^{4} - 50 \, q^{7} t^{5} - 28 \, q^{6} t^{6} + 8 \, q^{5} t^{7} + 8 \, q^{10} t - 28 \, q^{9} t^{2} - 50 \, q^{8} t^{3} + 90 \, q^{7} t^{4} - 120 \, q^{6} t^{5} + 10 \, q^{5} t^{6} + 6 \, q^{4} t^{7} - 6 \, q^{9} t - 7 \, q^{8} t^{2} + 86 \, q^{7} t^{3} + 18 \, q^{6} t^{4} + 8 \, q^{5} t^{5} + 77 \, q^{4} t^{6} - 8 \, q^{3} t^{7} + q^{8} t + 2 \, q^{7} t^{2} + 8 \, q^{6} t^{3} - 88 \, q^{5} t^{4} - 9 \, q^{4} t^{5} - 18 \, q^{3} t^{6} - 16 \, q^{2} t^{7} + 2 \, q^{6} t^{2} - 10 \, q^{5} t^{3} + 11 \, q^{4} t^{4} + 38 \, q^{3} t^{5} - 6 \, q^{2} t^{6} + 6 \, q t^{7} + t^{8} - q^{4} t^{3} + 4 \, q^{3} t^{4} - 6 \, q^{2} t^{5} - 4 \, q t^{6} + t^{7}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{4} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 6 edges: | [[1, 5], [2, 3], [2, 6], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{14} t - 3 \, q^{13} t^{2} - 3 \, q^{12} t^{3} + q^{11} t^{4} + q^{14} + 3 \, q^{13} t - 3 \, q^{12} t^{2} + 13 \, q^{11} t^{3} + 8 \, q^{10} t^{4} - 2 \, q^{9} t^{5} - 6 \, q^{12} t - 6 \, q^{11} t^{2} + 9 \, q^{10} t^{3} - 25 \, q^{9} t^{4} - 3 \, q^{8} t^{5} - q^{7} t^{6} - 16 \, q^{11} t + 23 \, q^{10} t^{2} - q^{9} t^{3} - 29 \, q^{8} t^{4} + 17 \, q^{7} t^{5} + 6 \, q^{6} t^{6} + 8 \, q^{10} t + 36 \, q^{9} t^{2} - 46 \, q^{8} t^{3} + 52 \, q^{7} t^{4} + 14 \, q^{6} t^{5} - 8 \, q^{5} t^{6} + 8 \, q^{9} t - 14 \, q^{8} t^{2} - 52 \, q^{7} t^{3} + 46 \, q^{6} t^{4} - 36 \, q^{5} t^{5} - 8 \, q^{4} t^{6} - 6 \, q^{8} t - 17 \, q^{7} t^{2} + 29 \, q^{6} t^{3} + q^{5} t^{4} - 23 \, q^{4} t^{5} + 16 \, q^{3} t^{6} + q^{7} t + 3 \, q^{6} t^{2} + 25 \, q^{5} t^{3} - 9 \, q^{4} t^{4} + 6 \, q^{3} t^{5} + 6 \, q^{2} t^{6} + 2 \, q^{5} t^{2} - 8 \, q^{4} t^{3} - 13 \, q^{3} t^{4} + 3 \, q^{2} t^{5} - 3 \, q t^{6} - t^{7} - q^{3} t^{3} + 3 \, q^{2} t^{4} + 3 \, q t^{5} - t^{6}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[1, 5], [2, 3], [2, 6], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 6 \, q^{16} t - 4 \, q^{15} t^{2} - 2 \, q^{14} t^{3} + q^{13} t^{4} - 5 \, q^{15} t - 26 \, q^{14} t^{2} + 6 \, q^{13} t^{3} + 16 \, q^{12} t^{4} - 5 \, q^{11} t^{5} - 26 \, q^{14} t + 27 \, q^{13} t^{2} + 88 \, q^{12} t^{3} - 44 \, q^{11} t^{4} - 6 \, q^{10} t^{5} + q^{9} t^{6} + 16 \, q^{13} t + 86 \, q^{12} t^{2} - 83 \, q^{11} t^{3} - 114 \, q^{10} t^{4} + 26 \, q^{9} t^{5} + 12 \, q^{8} t^{6} + q^{7} t^{7} + 6 \, q^{12} t - 38 \, q^{11} t^{2} - 204 \, q^{10} t^{3} + 176 \, q^{9} t^{4} + 124 \, q^{8} t^{5} - 30 \, q^{7} t^{6} - 6 \, q^{6} t^{7} - 6 \, q^{11} t - 30 \, q^{10} t^{2} + 124 \, q^{9} t^{3} + 176 \, q^{8} t^{4} - 204 \, q^{7} t^{5} - 38 \, q^{6} t^{6} + 6 \, q^{5} t^{7} + q^{10} t + 12 \, q^{9} t^{2} + 26 \, q^{8} t^{3} - 114 \, q^{7} t^{4} - 83 \, q^{6} t^{5} + 86 \, q^{5} t^{6} + 16 \, q^{4} t^{7} + q^{8} t^{2} - 6 \, q^{7} t^{3} - 44 \, q^{6} t^{4} + 88 \, q^{5} t^{5} + 27 \, q^{4} t^{6} - 26 \, q^{3} t^{7} - 5 \, q^{6} t^{3} + 16 \, q^{5} t^{4} + 6 \, q^{4} t^{5} - 26 \, q^{3} t^{6} - 5 \, q^{2} t^{7} + q^{4} t^{4} - 2 \, q^{3} t^{5} - 4 \, q^{2} t^{6} + 6 \, q t^{7} + t^{8}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[0, 6], [1, 5], [2, 3], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + 5 \, q^{13} t - q^{12} t^{2} - q^{11} t^{3} - 2 \, q^{12} t - 12 \, q^{11} t^{2} - 6 \, q^{10} t^{3} + 4 \, q^{9} t^{4} - 22 \, q^{11} t + 3 \, q^{10} t^{2} + 37 \, q^{9} t^{3} - 3 \, q^{8} t^{4} + q^{7} t^{5} + 10 \, q^{10} t + 38 \, q^{9} t^{2} - 4 \, q^{8} t^{3} - 22 \, q^{7} t^{4} - 6 \, q^{6} t^{5} + 8 \, q^{9} t + 8 \, q^{8} t^{2} - 72 \, q^{7} t^{3} + 8 \, q^{6} t^{4} + 8 \, q^{5} t^{5} - 6 \, q^{8} t - 22 \, q^{7} t^{2} - 4 \, q^{6} t^{3} + 38 \, q^{5} t^{4} + 10 \, q^{4} t^{5} + q^{7} t - 3 \, q^{6} t^{2} + 37 \, q^{5} t^{3} + 3 \, q^{4} t^{4} - 22 \, q^{3} t^{5} + 4 \, q^{5} t^{2} - 6 \, q^{4} t^{3} - 12 \, q^{3} t^{4} - 2 \, q^{2} t^{5} - q^{3} t^{3} - q^{2} t^{4} + 5 \, q t^{5} + t^{6}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 6], [1, 5], [2, 3], [2, 6], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 2 \, q^{16} t - q^{15} t^{2} + 14 \, q^{15} t - 8 \, q^{14} t^{2} - 6 \, q^{13} t^{3} - 50 \, q^{14} t - 14 \, q^{13} t^{2} + 4 \, q^{12} t^{3} + 18 \, q^{11} t^{4} + 28 \, q^{13} t + 10 \, q^{12} t^{2} + 130 \, q^{11} t^{3} - 42 \, q^{10} t^{4} + 2 \, q^{9} t^{5} + 4 \, q^{12} t + 146 \, q^{11} t^{2} - 212 \, q^{10} t^{3} - 31 \, q^{9} t^{4} - 46 \, q^{8} t^{5} - q^{7} t^{6} - 6 \, q^{11} t - 156 \, q^{10} t^{2} - 6 \, q^{9} t^{3} + 6 \, q^{8} t^{4} + 156 \, q^{7} t^{5} + 6 \, q^{6} t^{6} + q^{10} t + 46 \, q^{9} t^{2} + 31 \, q^{8} t^{3} + 212 \, q^{7} t^{4} - 146 \, q^{6} t^{5} - 4 \, q^{5} t^{6} - 2 \, q^{8} t^{2} + 42 \, q^{7} t^{3} - 130 \, q^{6} t^{4} - 10 \, q^{5} t^{5} - 28 \, q^{4} t^{6} - 18 \, q^{6} t^{3} - 4 \, q^{5} t^{4} + 14 \, q^{4} t^{5} + 50 \, q^{3} t^{6} + 6 \, q^{4} t^{4} + 8 \, q^{3} t^{5} - 14 \, q^{2} t^{6} + q^{2} t^{5} - 2 \, q t^{6} - t^{7}}{{\left(q^{2} - t\right)}^{4} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[0, 6], [1, 5], [2, 3], [2, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 2 \, q^{16} t - q^{15} t^{2} + 10 \, q^{15} t - 8 \, q^{14} t^{2} - 6 \, q^{13} t^{3} - 40 \, q^{14} t - 4 \, q^{13} t^{2} + 8 \, q^{12} t^{3} + 18 \, q^{11} t^{4} + 20 \, q^{13} t - 6 \, q^{12} t^{2} + 106 \, q^{11} t^{3} - 50 \, q^{10} t^{4} + 2 \, q^{9} t^{5} + 6 \, q^{12} t + 144 \, q^{11} t^{2} - 192 \, q^{10} t^{3} + q^{9} t^{4} - 42 \, q^{8} t^{5} - q^{7} t^{6} - 6 \, q^{11} t - 144 \, q^{10} t^{2} + 18 \, q^{9} t^{3} - 18 \, q^{8} t^{4} + 144 \, q^{7} t^{5} + 6 \, q^{6} t^{6} + q^{10} t + 42 \, q^{9} t^{2} - q^{8} t^{3} + 192 \, q^{7} t^{4} - 144 \, q^{6} t^{5} - 6 \, q^{5} t^{6} - 2 \, q^{8} t^{2} + 50 \, q^{7} t^{3} - 106 \, q^{6} t^{4} + 6 \, q^{5} t^{5} - 20 \, q^{4} t^{6} - 18 \, q^{6} t^{3} - 8 \, q^{5} t^{4} + 4 \, q^{4} t^{5} + 40 \, q^{3} t^{6} + 6 \, q^{4} t^{4} + 8 \, q^{3} t^{5} - 10 \, q^{2} t^{6} + q^{2} t^{5} - 2 \, q t^{6} - t^{7}}{{\left(q^{2} - t\right)}^{4} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 6], [1, 5], [2, 3], [2, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + 6 \, q^{14} t - 4 \, q^{13} t^{2} + q^{11} t^{4} - 6 \, q^{13} t - 24 \, q^{12} t^{2} + 10 \, q^{10} t^{4} - 4 \, q^{9} t^{5} - 20 \, q^{12} t + 43 \, q^{11} t^{2} + 64 \, q^{10} t^{3} - 34 \, q^{9} t^{4} + 4 \, q^{8} t^{5} - q^{7} t^{6} + 10 \, q^{11} t + 28 \, q^{10} t^{2} - 70 \, q^{9} t^{3} - 44 \, q^{8} t^{4} + 14 \, q^{7} t^{5} + 6 \, q^{6} t^{6} + 8 \, q^{10} t - 8 \, q^{9} t^{2} - 96 \, q^{8} t^{3} + 96 \, q^{7} t^{4} + 8 \, q^{6} t^{5} - 8 \, q^{5} t^{6} - 6 \, q^{9} t - 14 \, q^{8} t^{2} + 44 \, q^{7} t^{3} + 70 \, q^{6} t^{4} - 28 \, q^{5} t^{5} - 10 \, q^{4} t^{6} + q^{8} t - 4 \, q^{7} t^{2} + 34 \, q^{6} t^{3} - 64 \, q^{5} t^{4} - 43 \, q^{4} t^{5} + 20 \, q^{3} t^{6} + 4 \, q^{6} t^{2} - 10 \, q^{5} t^{3} + 24 \, q^{3} t^{5} + 6 \, q^{2} t^{6} - q^{4} t^{3} + 4 \, q^{2} t^{5} - 6 \, q t^{6} - t^{7}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[0, 5], [1, 6], [2, 3], [2, 6], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + 5 \, q^{13} t - q^{12} t^{2} - q^{11} t^{3} - 4 \, q^{12} t - 12 \, q^{11} t^{2} - 4 \, q^{10} t^{3} + 4 \, q^{9} t^{4} - 16 \, q^{11} t + 5 \, q^{10} t^{2} + 31 \, q^{9} t^{3} - 5 \, q^{8} t^{4} + q^{7} t^{5} + 4 \, q^{10} t + 34 \, q^{9} t^{2} + 2 \, q^{8} t^{3} - 18 \, q^{7} t^{4} - 6 \, q^{6} t^{5} + 10 \, q^{9} t + 8 \, q^{8} t^{2} - 76 \, q^{7} t^{3} + 8 \, q^{6} t^{4} + 10 \, q^{5} t^{5} - 6 \, q^{8} t - 18 \, q^{7} t^{2} + 2 \, q^{6} t^{3} + 34 \, q^{5} t^{4} + 4 \, q^{4} t^{5} + q^{7} t - 5 \, q^{6} t^{2} + 31 \, q^{5} t^{3} + 5 \, q^{4} t^{4} - 16 \, q^{3} t^{5} + 4 \, q^{5} t^{2} - 4 \, q^{4} t^{3} - 12 \, q^{3} t^{4} - 4 \, q^{2} t^{5} - q^{3} t^{3} - q^{2} t^{4} + 5 \, q t^{5} + t^{6}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 6], [1, 6], [2, 3], [3, 4], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{17} t - 2 \, q^{16} t^{2} - q^{15} t^{3} + q^{17} - 3 \, q^{15} t^{2} - 2 \, q^{14} t^{3} + 4 \, q^{13} t^{4} + 18 \, q^{15} t - 24 \, q^{14} t^{2} + 30 \, q^{13} t^{3} + 48 \, q^{12} t^{4} - 16 \, q^{11} t^{5} - 72 \, q^{14} t + 56 \, q^{13} t^{2} + 10 \, q^{12} t^{3} - 224 \, q^{11} t^{4} + 32 \, q^{10} t^{5} - 12 \, q^{9} t^{6} + 62 \, q^{13} t - 42 \, q^{12} t^{2} + 58 \, q^{11} t^{3} + 194 \, q^{10} t^{4} - 43 \, q^{9} t^{5} + 94 \, q^{8} t^{6} + q^{7} t^{7} - 16 \, q^{12} t + 186 \, q^{11} t^{2} - 368 \, q^{10} t^{3} + 13 \, q^{9} t^{4} + 244 \, q^{8} t^{5} - 225 \, q^{7} t^{6} - 2 \, q^{6} t^{7} - 2 \, q^{11} t - 225 \, q^{10} t^{2} + 244 \, q^{9} t^{3} + 13 \, q^{8} t^{4} - 368 \, q^{7} t^{5} + 186 \, q^{6} t^{6} - 16 \, q^{5} t^{7} + q^{10} t + 94 \, q^{9} t^{2} - 43 \, q^{8} t^{3} + 194 \, q^{7} t^{4} + 58 \, q^{6} t^{5} - 42 \, q^{5} t^{6} + 62 \, q^{4} t^{7} - 12 \, q^{8} t^{2} + 32 \, q^{7} t^{3} - 224 \, q^{6} t^{4} + 10 \, q^{5} t^{5} + 56 \, q^{4} t^{6} - 72 \, q^{3} t^{7} - 16 \, q^{6} t^{3} + 48 \, q^{5} t^{4} + 30 \, q^{4} t^{5} - 24 \, q^{3} t^{6} + 18 \, q^{2} t^{7} + 4 \, q^{4} t^{4} - 2 \, q^{3} t^{5} - 3 \, q^{2} t^{6} + t^{8} - q^{2} t^{5} - 2 \, q t^{6} + t^{7}}{{\left(q^{2} - t\right)}^{4} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 6 edges: | [[1, 6], [2, 3], [2, 5], [3, 4], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 4 \, q^{16} t + q^{15} t^{2} + 10 \, q^{15} t - 6 \, q^{14} t^{2} - 4 \, q^{13} t^{3} - 52 \, q^{14} t - 48 \, q^{13} t^{2} - 42 \, q^{12} t^{3} + 16 \, q^{11} t^{4} + 38 \, q^{13} t + 74 \, q^{12} t^{2} + 294 \, q^{11} t^{3} - 30 \, q^{10} t^{4} + 8 \, q^{9} t^{5} - 4 \, q^{12} t + 114 \, q^{11} t^{2} - 442 \, q^{10} t^{3} - 17 \, q^{9} t^{4} - 70 \, q^{8} t^{5} - q^{7} t^{6} - 4 \, q^{11} t - 176 \, q^{10} t^{2} + 128 \, q^{9} t^{3} - 128 \, q^{8} t^{4} + 176 \, q^{7} t^{5} + 4 \, q^{6} t^{6} + q^{10} t + 70 \, q^{9} t^{2} + 17 \, q^{8} t^{3} + 442 \, q^{7} t^{4} - 114 \, q^{6} t^{5} + 4 \, q^{5} t^{6} - 8 \, q^{8} t^{2} + 30 \, q^{7} t^{3} - 294 \, q^{6} t^{4} - 74 \, q^{5} t^{5} - 38 \, q^{4} t^{6} - 16 \, q^{6} t^{3} + 42 \, q^{5} t^{4} + 48 \, q^{4} t^{5} + 52 \, q^{3} t^{6} + 4 \, q^{4} t^{4} + 6 \, q^{3} t^{5} - 10 \, q^{2} t^{6} - q^{2} t^{5} - 4 \, q t^{6} - t^{7}}{{\left(q^{2} - t\right)}^{4} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[0, 6], [1, 6], [2, 3], [2, 5], [3, 4], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{15} t - 2 \, q^{14} t^{2} - q^{13} t^{3} + q^{15} + q^{13} t^{2} - 2 \, q^{12} t^{3} + 6 \, q^{13} t - 10 \, q^{12} t^{2} + 14 \, q^{11} t^{3} + 2 \, q^{10} t^{4} - 18 \, q^{12} t + 24 \, q^{11} t^{2} - 4 \, q^{10} t^{3} + 8 \, q^{9} t^{4} - 14 \, q^{11} t - 24 \, q^{10} t^{2} + q^{9} t^{3} - 38 \, q^{8} t^{4} + 3 \, q^{7} t^{5} + 34 \, q^{10} t + 37 \, q^{9} t^{2} - 18 \, q^{8} t^{3} + 17 \, q^{7} t^{4} - 18 \, q^{6} t^{5} - 18 \, q^{9} t + 17 \, q^{8} t^{2} - 18 \, q^{7} t^{3} + 37 \, q^{6} t^{4} + 34 \, q^{5} t^{5} + 3 \, q^{8} t - 38 \, q^{7} t^{2} + q^{6} t^{3} - 24 \, q^{5} t^{4} - 14 \, q^{4} t^{5} + 8 \, q^{6} t^{2} - 4 \, q^{5} t^{3} + 24 \, q^{4} t^{4} - 18 \, q^{3} t^{5} + 2 \, q^{5} t^{2} + 14 \, q^{4} t^{3} - 10 \, q^{3} t^{4} + 6 \, q^{2} t^{5} - 2 \, q^{3} t^{3} + q^{2} t^{4} + t^{6} - q^{2} t^{3} - 2 \, q t^{4} + t^{5}}{{\left(q^{3} - t\right)}^{2} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[1, 6], [2, 3], [2, 5], [3, 4], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{19} + 4 \, q^{18} t + q^{17} t^{2} - 4 \, q^{17} t - 6 \, q^{16} t^{2} - 2 \, q^{15} t^{3} + 2 \, q^{16} t - 19 \, q^{15} t^{2} + 8 \, q^{14} t^{3} + q^{13} t^{4} - 38 \, q^{15} t + 14 \, q^{14} t^{2} - 16 \, q^{13} t^{3} + 4 \, q^{12} t^{4} + 46 \, q^{14} t + 93 \, q^{13} t^{2} + 126 \, q^{12} t^{3} - 5 \, q^{11} t^{4} - 6 \, q^{10} t^{5} - 20 \, q^{13} t - 80 \, q^{12} t^{2} - 214 \, q^{11} t^{3} - 48 \, q^{10} t^{4} + 18 \, q^{9} t^{5} + 3 \, q^{12} t + 30 \, q^{11} t^{2} + 15 \, q^{10} t^{3} - 15 \, q^{9} t^{4} - 30 \, q^{8} t^{5} - 3 \, q^{7} t^{6} - 18 \, q^{10} t^{2} + 48 \, q^{9} t^{3} + 214 \, q^{8} t^{4} + 80 \, q^{7} t^{5} + 20 \, q^{6} t^{6} + 6 \, q^{9} t^{2} + 5 \, q^{8} t^{3} - 126 \, q^{7} t^{4} - 93 \, q^{6} t^{5} - 46 \, q^{5} t^{6} - 4 \, q^{7} t^{3} + 16 \, q^{6} t^{4} - 14 \, q^{5} t^{5} + 38 \, q^{4} t^{6} - q^{6} t^{3} - 8 \, q^{5} t^{4} + 19 \, q^{4} t^{5} - 2 \, q^{3} t^{6} + 2 \, q^{4} t^{4} + 6 \, q^{3} t^{5} + 4 \, q^{2} t^{6} - q^{2} t^{5} - 4 \, q t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 6], [1, 6], [2, 3], [2, 5], [3, 4], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{19} t + q^{19} - 2 \, q^{18} t - 3 \, q^{17} t^{2} + 5 \, q^{17} t - 3 \, q^{15} t^{3} - 6 \, q^{16} t + q^{15} t^{2} + 14 \, q^{14} t^{3} + q^{13} t^{4} - 24 \, q^{15} t - 4 \, q^{14} t^{2} + 14 \, q^{13} t^{3} + 10 \, q^{12} t^{4} + 28 \, q^{14} t + 29 \, q^{13} t^{2} - 50 \, q^{12} t^{3} - 45 \, q^{11} t^{4} - 2 \, q^{10} t^{5} - 10 \, q^{13} t + 33 \, q^{12} t^{2} + 37 \, q^{11} t^{3} + 6 \, q^{10} t^{4} - 7 \, q^{9} t^{5} + q^{12} t - 44 \, q^{11} t^{2} - 75 \, q^{10} t^{3} + 75 \, q^{9} t^{4} + 44 \, q^{8} t^{5} - q^{7} t^{6} + 7 \, q^{10} t^{2} - 6 \, q^{9} t^{3} - 37 \, q^{8} t^{4} - 33 \, q^{7} t^{5} + 10 \, q^{6} t^{6} + 2 \, q^{9} t^{2} + 45 \, q^{8} t^{3} + 50 \, q^{7} t^{4} - 29 \, q^{6} t^{5} - 28 \, q^{5} t^{6} - 10 \, q^{7} t^{3} - 14 \, q^{6} t^{4} + 4 \, q^{5} t^{5} + 24 \, q^{4} t^{6} - q^{6} t^{3} - 14 \, q^{5} t^{4} - q^{4} t^{5} + 6 \, q^{3} t^{6} + 3 \, q^{4} t^{4} - 5 \, q^{2} t^{6} + 3 \, q^{2} t^{5} + 2 \, q t^{6} - t^{7} - t^{6}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[1, 5], [1, 6], [2, 3], [2, 6], [3, 4], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + q^{19} t + 3 \, q^{18} t - 3 \, q^{17} t^{2} - 8 \, q^{17} t - 3 \, q^{16} t^{2} - 3 \, q^{15} t^{3} - 18 \, q^{16} t - 8 \, q^{15} t^{2} + 15 \, q^{14} t^{3} + q^{13} t^{4} + 22 \, q^{15} t + 39 \, q^{14} t^{2} + 13 \, q^{13} t^{3} + 10 \, q^{12} t^{4} - 8 \, q^{14} t + 30 \, q^{13} t^{2} - 15 \, q^{12} t^{3} - 47 \, q^{11} t^{4} - 2 \, q^{10} t^{5} + q^{13} t - 41 \, q^{12} t^{2} - 80 \, q^{11} t^{3} + q^{10} t^{4} - 5 \, q^{9} t^{5} + 5 \, q^{11} t^{2} - q^{10} t^{3} + 80 \, q^{9} t^{4} + 41 \, q^{8} t^{5} - q^{7} t^{6} + 2 \, q^{10} t^{2} + 47 \, q^{9} t^{3} + 15 \, q^{8} t^{4} - 30 \, q^{7} t^{5} + 8 \, q^{6} t^{6} - 10 \, q^{8} t^{3} - 13 \, q^{7} t^{4} - 39 \, q^{6} t^{5} - 22 \, q^{5} t^{6} - q^{7} t^{3} - 15 \, q^{6} t^{4} + 8 \, q^{5} t^{5} + 18 \, q^{4} t^{6} + 3 \, q^{5} t^{4} + 3 \, q^{4} t^{5} + 8 \, q^{3} t^{6} + 3 \, q^{3} t^{5} - 3 \, q^{2} t^{6} - q t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 6], [1, 5], [1, 6], [2, 3], [2, 6], [3, 4], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + q^{19} t + q^{18} t - 3 \, q^{17} t^{2} - 3 \, q^{16} t^{2} - q^{15} t^{3} - 30 \, q^{16} t - 10 \, q^{15} t^{2} + 9 \, q^{14} t^{3} + q^{13} t^{4} + 30 \, q^{15} t + 49 \, q^{14} t^{2} + 21 \, q^{13} t^{3} + 8 \, q^{12} t^{4} - 10 \, q^{14} t + 10 \, q^{13} t^{2} - 25 \, q^{12} t^{3} - 43 \, q^{11} t^{4} - 4 \, q^{10} t^{5} + q^{13} t - 21 \, q^{12} t^{2} - 70 \, q^{11} t^{3} + 3 \, q^{10} t^{4} + 5 \, q^{9} t^{5} - 5 \, q^{11} t^{2} - 3 \, q^{10} t^{3} + 70 \, q^{9} t^{4} + 21 \, q^{8} t^{5} - q^{7} t^{6} + 4 \, q^{10} t^{2} + 43 \, q^{9} t^{3} + 25 \, q^{8} t^{4} - 10 \, q^{7} t^{5} + 10 \, q^{6} t^{6} - 8 \, q^{8} t^{3} - 21 \, q^{7} t^{4} - 49 \, q^{6} t^{5} - 30 \, q^{5} t^{6} - q^{7} t^{3} - 9 \, q^{6} t^{4} + 10 \, q^{5} t^{5} + 30 \, q^{4} t^{6} + q^{5} t^{4} + 3 \, q^{4} t^{5} + 3 \, q^{3} t^{5} - q^{2} t^{6} - q t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 6], [1, 5], [1, 6], [2, 3], [2, 5], [3, 4], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{22} + q^{21} t + 2 \, q^{20} t - 4 \, q^{19} t^{2} - 8 \, q^{19} t - 6 \, q^{18} t^{2} - 18 \, q^{18} t - 6 \, q^{17} t^{2} + 24 \, q^{16} t^{3} + 2 \, q^{15} t^{4} + 22 \, q^{17} t + 83 \, q^{16} t^{2} + 5 \, q^{15} t^{3} + q^{14} t^{4} - q^{13} t^{5} - 8 \, q^{16} t - 36 \, q^{15} t^{2} - 48 \, q^{14} t^{3} - 80 \, q^{13} t^{4} - 10 \, q^{12} t^{5} + q^{15} t + 3 \, q^{14} t^{2} - 94 \, q^{13} t^{3} + 74 \, q^{12} t^{4} + 42 \, q^{11} t^{5} + 4 \, q^{10} t^{6} - 10 \, q^{13} t^{2} + 26 \, q^{12} t^{3} + 76 \, q^{11} t^{4} + 26 \, q^{10} t^{5} - 10 \, q^{9} t^{6} + 4 \, q^{12} t^{2} + 42 \, q^{11} t^{3} + 74 \, q^{10} t^{4} - 94 \, q^{9} t^{5} + 3 \, q^{8} t^{6} + q^{7} t^{7} - 10 \, q^{10} t^{3} - 80 \, q^{9} t^{4} - 48 \, q^{8} t^{5} - 36 \, q^{7} t^{6} - 8 \, q^{6} t^{7} - q^{9} t^{3} + q^{8} t^{4} + 5 \, q^{7} t^{5} + 83 \, q^{6} t^{6} + 22 \, q^{5} t^{7} + 2 \, q^{7} t^{4} + 24 \, q^{6} t^{5} - 6 \, q^{5} t^{6} - 18 \, q^{4} t^{7} - 6 \, q^{4} t^{6} - 8 \, q^{3} t^{7} - 4 \, q^{3} t^{6} + 2 \, q^{2} t^{7} + q t^{7} + t^{8}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{4} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 5], [1, 5], [1, 6], [2, 3], [2, 6], [3, 4], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{21} + 6 \, q^{19} t - 10 \, q^{18} t - 4 \, q^{17} t^{2} - 18 \, q^{17} t - 26 \, q^{16} t^{2} + 22 \, q^{16} t + 69 \, q^{15} t^{2} + 4 \, q^{14} t^{3} + q^{13} t^{4} - 8 \, q^{15} t - 2 \, q^{14} t^{2} + 72 \, q^{13} t^{3} + 8 \, q^{12} t^{4} + q^{14} t - 12 \, q^{13} t^{2} - 164 \, q^{12} t^{3} - 46 \, q^{11} t^{4} - 4 \, q^{10} t^{5} - 8 \, q^{12} t^{2} + 16 \, q^{11} t^{3} - 16 \, q^{10} t^{4} + 8 \, q^{9} t^{5} + 4 \, q^{11} t^{2} + 46 \, q^{10} t^{3} + 164 \, q^{9} t^{4} + 12 \, q^{8} t^{5} - q^{7} t^{6} - 8 \, q^{9} t^{3} - 72 \, q^{8} t^{4} + 2 \, q^{7} t^{5} + 8 \, q^{6} t^{6} - q^{8} t^{3} - 4 \, q^{7} t^{4} - 69 \, q^{6} t^{5} - 22 \, q^{5} t^{6} + 26 \, q^{5} t^{5} + 18 \, q^{4} t^{6} + 4 \, q^{4} t^{5} + 10 \, q^{3} t^{6} - 6 \, q^{2} t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 5], [0, 6], [1, 5], [1, 6], [2, 3], [2, 6], [3, 4], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{27} + 5 \, q^{25} t - 4 \, q^{24} t - q^{23} t^{2} - 22 \, q^{23} t - 14 \, q^{22} t^{2} - q^{21} t^{3} + 14 \, q^{22} t - 13 \, q^{21} t^{2} - 6 \, q^{20} t^{3} + 86 \, q^{20} t^{2} + 67 \, q^{19} t^{3} + 4 \, q^{18} t^{4} - q^{20} t + 7 \, q^{19} t^{2} - 36 \, q^{18} t^{3} - 5 \, q^{17} t^{4} - 55 \, q^{18} t^{2} - 81 \, q^{17} t^{3} - 30 \, q^{16} t^{4} + q^{15} t^{5} + 20 \, q^{17} t^{2} - 59 \, q^{16} t^{3} - 45 \, q^{15} t^{4} - 14 \, q^{14} t^{5} - 2 \, q^{16} t^{2} + 40 \, q^{15} t^{3} + 111 \, q^{14} t^{4} + 33 \, q^{13} t^{5} + 33 \, q^{14} t^{3} + 111 \, q^{13} t^{4} + 40 \, q^{12} t^{5} - 2 \, q^{11} t^{6} - 14 \, q^{13} t^{3} - 45 \, q^{12} t^{4} - 59 \, q^{11} t^{5} + 20 \, q^{10} t^{6} + q^{12} t^{3} - 30 \, q^{11} t^{4} - 81 \, q^{10} t^{5} - 55 \, q^{9} t^{6} - 5 \, q^{10} t^{4} - 36 \, q^{9} t^{5} + 7 \, q^{8} t^{6} - q^{7} t^{7} + 4 \, q^{9} t^{4} + 67 \, q^{8} t^{5} + 86 \, q^{7} t^{6} - 6 \, q^{7} t^{5} - 13 \, q^{6} t^{6} + 14 \, q^{5} t^{7} - q^{6} t^{5} - 14 \, q^{5} t^{6} - 22 \, q^{4} t^{7} - q^{4} t^{6} - 4 \, q^{3} t^{7} + 5 \, q^{2} t^{7} + t^{8}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 5], [0, 6], [1, 5], [1, 6], [2, 3], [2, 6], [3, 4], [3, 5], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{19} + 5 \, q^{17} t - 4 \, q^{16} t - q^{15} t^{2} - 24 \, q^{15} t - 14 \, q^{14} t^{2} - q^{13} t^{3} + 24 \, q^{14} t + 7 \, q^{13} t^{2} - 6 \, q^{12} t^{3} - 8 \, q^{13} t + 60 \, q^{12} t^{2} + 57 \, q^{11} t^{3} + 4 \, q^{10} t^{4} + q^{12} t - 36 \, q^{11} t^{2} - 60 \, q^{10} t^{3} - 5 \, q^{9} t^{4} - 5 \, q^{10} t^{2} - 60 \, q^{9} t^{3} - 36 \, q^{8} t^{4} + q^{7} t^{5} + 4 \, q^{9} t^{2} + 57 \, q^{8} t^{3} + 60 \, q^{7} t^{4} - 8 \, q^{6} t^{5} - 6 \, q^{7} t^{3} + 7 \, q^{6} t^{4} + 24 \, q^{5} t^{5} - q^{6} t^{3} - 14 \, q^{5} t^{4} - 24 \, q^{4} t^{5} - q^{4} t^{4} - 4 \, q^{3} t^{5} + 5 \, q^{2} t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 5], [0, 6], [1, 5], [1, 6], [2, 3], [2, 6], [3, 4], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + 5 \, q^{19} t - q^{18} t^{2} - q^{17} t^{3} - 6 \, q^{18} t - 10 \, q^{17} t^{2} + 6 \, q^{16} t^{3} + 2 \, q^{15} t^{4} - 2 \, q^{17} t - 31 \, q^{16} t^{2} - 3 \, q^{15} t^{3} - q^{14} t^{4} - 3 \, q^{13} t^{5} - 32 \, q^{16} t + 102 \, q^{15} t^{2} + 78 \, q^{14} t^{3} + 2 \, q^{13} t^{4} + 2 \, q^{12} t^{5} + 44 \, q^{15} t - 13 \, q^{14} t^{2} - 77 \, q^{13} t^{3} - 87 \, q^{12} t^{4} - 3 \, q^{11} t^{5} + 4 \, q^{10} t^{6} - 20 \, q^{14} t - 12 \, q^{13} t^{2} - 156 \, q^{12} t^{3} + 16 \, q^{11} t^{4} + 32 \, q^{10} t^{5} - 4 \, q^{9} t^{6} + 3 \, q^{13} t - 7 \, q^{12} t^{2} + 69 \, q^{11} t^{3} + 206 \, q^{10} t^{4} + 69 \, q^{9} t^{5} - 7 \, q^{8} t^{6} + 3 \, q^{7} t^{7} - 4 \, q^{11} t^{2} + 32 \, q^{10} t^{3} + 16 \, q^{9} t^{4} - 156 \, q^{8} t^{5} - 12 \, q^{7} t^{6} - 20 \, q^{6} t^{7} + 4 \, q^{10} t^{2} - 3 \, q^{9} t^{3} - 87 \, q^{8} t^{4} - 77 \, q^{7} t^{5} - 13 \, q^{6} t^{6} + 44 \, q^{5} t^{7} + 2 \, q^{8} t^{3} + 2 \, q^{7} t^{4} + 78 \, q^{6} t^{5} + 102 \, q^{5} t^{6} - 32 \, q^{4} t^{7} - 3 \, q^{7} t^{3} - q^{6} t^{4} - 3 \, q^{5} t^{5} - 31 \, q^{4} t^{6} - 2 \, q^{3} t^{7} + 2 \, q^{5} t^{4} + 6 \, q^{4} t^{5} - 10 \, q^{3} t^{6} - 6 \, q^{2} t^{7} - q^{3} t^{5} - q^{2} t^{6} + 5 \, q t^{7} + t^{8}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[0, 6], [1, 6], [2, 3], [2, 4], [3, 5], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{18} t - 2 \, q^{17} t^{2} - q^{16} t^{3} + q^{18} + q^{16} t^{2} + 4 \, q^{15} t^{3} - 6 \, q^{16} t + q^{15} t^{2} - 4 \, q^{14} t^{3} + 3 \, q^{13} t^{4} + 11 \, q^{15} t - 12 \, q^{14} t^{2} + 27 \, q^{13} t^{3} - 12 \, q^{12} t^{4} - 34 \, q^{14} t + 34 \, q^{13} t^{2} - 53 \, q^{12} t^{3} + 24 \, q^{11} t^{4} - 5 \, q^{10} t^{5} + 30 \, q^{13} t + q^{12} t^{2} + 32 \, q^{11} t^{3} - 71 \, q^{10} t^{4} + 14 \, q^{9} t^{5} - 10 \, q^{12} t + 3 \, q^{11} t^{2} - 8 \, q^{10} t^{3} + 88 \, q^{9} t^{4} - 4 \, q^{8} t^{5} - q^{7} t^{6} + q^{11} t + 4 \, q^{10} t^{2} - 88 \, q^{9} t^{3} + 8 \, q^{8} t^{4} - 3 \, q^{7} t^{5} + 10 \, q^{6} t^{6} - 14 \, q^{9} t^{2} + 71 \, q^{8} t^{3} - 32 \, q^{7} t^{4} - q^{6} t^{5} - 30 \, q^{5} t^{6} + 5 \, q^{8} t^{2} - 24 \, q^{7} t^{3} + 53 \, q^{6} t^{4} - 34 \, q^{5} t^{5} + 34 \, q^{4} t^{6} + 12 \, q^{6} t^{3} - 27 \, q^{5} t^{4} + 12 \, q^{4} t^{5} - 11 \, q^{3} t^{6} - 3 \, q^{5} t^{3} + 4 \, q^{4} t^{4} - q^{3} t^{5} + 6 \, q^{2} t^{6} - 4 \, q^{3} t^{4} - q^{2} t^{5} - t^{7} + q^{2} t^{4} + 2 \, q t^{5} - t^{6}}{{\left(q^{3} - t\right)}^{3} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[1, 6], [2, 3], [2, 4], [2, 5], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + 4 \, q^{17} t + q^{16} t^{2} - 8 \, q^{16} t - 4 \, q^{15} t^{2} + 9 \, q^{15} t - 2 \, q^{14} t^{2} - 3 \, q^{13} t^{3} - 28 \, q^{14} t - 12 \, q^{13} t^{2} + 12 \, q^{12} t^{3} + 24 \, q^{13} t + 49 \, q^{12} t^{2} - 20 \, q^{11} t^{3} + 5 \, q^{10} t^{4} - 8 \, q^{12} t - 16 \, q^{11} t^{2} + 80 \, q^{10} t^{3} - 16 \, q^{9} t^{4} + q^{11} t + 10 \, q^{10} t^{2} - 158 \, q^{9} t^{3} + 10 \, q^{8} t^{4} + q^{7} t^{5} - 16 \, q^{9} t^{2} + 80 \, q^{8} t^{3} - 16 \, q^{7} t^{4} - 8 \, q^{6} t^{5} + 5 \, q^{8} t^{2} - 20 \, q^{7} t^{3} + 49 \, q^{6} t^{4} + 24 \, q^{5} t^{5} + 12 \, q^{6} t^{3} - 12 \, q^{5} t^{4} - 28 \, q^{4} t^{5} - 3 \, q^{5} t^{3} - 2 \, q^{4} t^{4} + 9 \, q^{3} t^{5} - 4 \, q^{3} t^{4} - 8 \, q^{2} t^{5} + q^{2} t^{4} + 4 \, q t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{3} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 6], [1, 6], [2, 3], [2, 4], [2, 5], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{22} t - 3 \, q^{21} t^{2} - 3 \, q^{20} t^{3} + q^{19} t^{4} + q^{22} + 3 \, q^{21} t - 4 \, q^{20} t^{2} + 12 \, q^{19} t^{3} + 7 \, q^{18} t^{4} - 3 \, q^{17} t^{5} - 3 \, q^{20} t - 13 \, q^{19} t^{2} + 42 \, q^{18} t^{3} - 11 \, q^{16} t^{5} + 5 \, q^{15} t^{6} - 24 \, q^{19} t - 7 \, q^{18} t^{2} - 31 \, q^{17} t^{3} - 144 \, q^{16} t^{4} - 14 \, q^{15} t^{5} - 5 \, q^{14} t^{6} + q^{13} t^{7} + 2 \, q^{18} t + 154 \, q^{17} t^{2} + 40 \, q^{16} t^{3} + 48 \, q^{15} t^{4} + 192 \, q^{14} t^{5} + 58 \, q^{13} t^{6} - 18 \, q^{12} t^{7} + 24 \, q^{17} t - 73 \, q^{16} t^{2} - 231 \, q^{15} t^{3} + 134 \, q^{14} t^{4} - 12 \, q^{13} t^{5} - 143 \, q^{12} t^{6} + 31 \, q^{11} t^{7} - 2 \, q^{10} t^{8} - 16 \, q^{16} t - 3 \, q^{15} t^{2} - 138 \, q^{14} t^{3} + 62 \, q^{13} t^{4} - 149 \, q^{12} t^{5} - 198 \, q^{11} t^{6} - 67 \, q^{10} t^{7} + 17 \, q^{9} t^{8} + 3 \, q^{15} t - 21 \, q^{14} t^{2} + 242 \, q^{13} t^{3} + 385 \, q^{12} t^{4} - 258 \, q^{11} t^{5} + 385 \, q^{10} t^{6} + 242 \, q^{9} t^{7} - 21 \, q^{8} t^{8} + 3 \, q^{7} t^{9} + 17 \, q^{13} t^{2} - 67 \, q^{12} t^{3} - 198 \, q^{11} t^{4} - 149 \, q^{10} t^{5} + 62 \, q^{9} t^{6} - 138 \, q^{8} t^{7} - 3 \, q^{7} t^{8} - 16 \, q^{6} t^{9} - 2 \, q^{12} t^{2} + 31 \, q^{11} t^{3} - 143 \, q^{10} t^{4} - 12 \, q^{9} t^{5} + 134 \, q^{8} t^{6} - 231 \, q^{7} t^{7} - 73 \, q^{6} t^{8} + 24 \, q^{5} t^{9} - 18 \, q^{10} t^{3} + 58 \, q^{9} t^{4} + 192 \, q^{8} t^{5} + 48 \, q^{7} t^{6} + 40 \, q^{6} t^{7} + 154 \, q^{5} t^{8} + 2 \, q^{4} t^{9} + q^{9} t^{3} - 5 \, q^{8} t^{4} - 14 \, q^{7} t^{5} - 144 \, q^{6} t^{6} - 31 \, q^{5} t^{7} - 7 \, q^{4} t^{8} - 24 \, q^{3} t^{9} + 5 \, q^{7} t^{4} - 11 \, q^{6} t^{5} + 42 \, q^{4} t^{7} - 13 \, q^{3} t^{8} - 3 \, q^{2} t^{9} - 3 \, q^{5} t^{5} + 7 \, q^{4} t^{6} + 12 \, q^{3} t^{7} - 4 \, q^{2} t^{8} + 3 \, q t^{9} + t^{10} + q^{3} t^{6} - 3 \, q^{2} t^{7} - 3 \, q t^{8} + t^{9}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 6 edges: | [[1, 5], [2, 3], [2, 4], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{15} t + q^{15} - 2 \, q^{14} t - 4 \, q^{13} t^{2} + 32 \, q^{13} t - 10 \, q^{12} t^{2} - 54 \, q^{11} t^{3} - 90 \, q^{12} t + 78 \, q^{11} t^{2} + 228 \, q^{10} t^{3} - 16 \, q^{9} t^{4} + 72 \, q^{11} t - 282 \, q^{10} t^{2} - 310 \, q^{9} t^{3} + 146 \, q^{8} t^{4} + q^{7} t^{5} - 18 \, q^{10} t + 534 \, q^{9} t^{2} + 126 \, q^{8} t^{3} - 431 \, q^{7} t^{4} - 2 \, q^{6} t^{5} - 2 \, q^{9} t - 431 \, q^{8} t^{2} + 126 \, q^{7} t^{3} + 534 \, q^{6} t^{4} - 18 \, q^{5} t^{5} + q^{8} t + 146 \, q^{7} t^{2} - 310 \, q^{6} t^{3} - 282 \, q^{5} t^{4} + 72 \, q^{4} t^{5} - 16 \, q^{6} t^{2} + 228 \, q^{5} t^{3} + 78 \, q^{4} t^{4} - 90 \, q^{3} t^{5} - 54 \, q^{4} t^{3} - 10 \, q^{3} t^{4} + 32 \, q^{2} t^{5} - 4 \, q^{2} t^{4} - 2 \, q t^{5} + t^{6} + t^{5}}{{\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 6 edges: | [[1, 5], [1, 6], [2, 3], [2, 4], [3, 6], [4, 5]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{21} + 5 \, q^{20} t - 10 \, q^{19} t^{2} + 10 \, q^{18} t^{3} - 5 \, q^{17} t^{4} + q^{16} t^{5} - 3 \, q^{19} t - 35 \, q^{18} t^{2} + 10 \, q^{17} t^{3} + 34 \, q^{16} t^{4} - 33 \, q^{15} t^{5} + 9 \, q^{14} t^{6} - 29 \, q^{18} t + 84 \, q^{17} t^{2} + 117 \, q^{16} t^{3} - 178 \, q^{15} t^{4} + 89 \, q^{14} t^{5} - 10 \, q^{13} t^{6} - 3 \, q^{12} t^{7} + 12 \, q^{17} t + 27 \, q^{16} t^{2} - 172 \, q^{15} t^{3} - 59 \, q^{14} t^{4} + 10 \, q^{13} t^{5} + 57 \, q^{12} t^{6} - 26 \, q^{11} t^{7} + q^{10} t^{8} + 12 \, q^{16} t + 34 \, q^{15} t^{2} - 287 \, q^{14} t^{3} + 379 \, q^{13} t^{4} + 276 \, q^{12} t^{5} - 314 \, q^{11} t^{6} + 79 \, q^{10} t^{7} + q^{9} t^{8} - 8 \, q^{15} t - 76 \, q^{14} t^{2} + 206 \, q^{13} t^{3} + 133 \, q^{12} t^{4} - 469 \, q^{11} t^{5} + 164 \, q^{10} t^{6} - 54 \, q^{9} t^{7} + 19 \, q^{8} t^{8} + q^{7} t^{9} + q^{14} t + 19 \, q^{13} t^{2} - 54 \, q^{12} t^{3} + 164 \, q^{11} t^{4} - 469 \, q^{10} t^{5} + 133 \, q^{9} t^{6} + 206 \, q^{8} t^{7} - 76 \, q^{7} t^{8} - 8 \, q^{6} t^{9} + q^{12} t^{2} + 79 \, q^{11} t^{3} - 314 \, q^{10} t^{4} + 276 \, q^{9} t^{5} + 379 \, q^{8} t^{6} - 287 \, q^{7} t^{7} + 34 \, q^{6} t^{8} + 12 \, q^{5} t^{9} + q^{11} t^{2} - 26 \, q^{10} t^{3} + 57 \, q^{9} t^{4} + 10 \, q^{8} t^{5} - 59 \, q^{7} t^{6} - 172 \, q^{6} t^{7} + 27 \, q^{5} t^{8} + 12 \, q^{4} t^{9} - 3 \, q^{9} t^{3} - 10 \, q^{8} t^{4} + 89 \, q^{7} t^{5} - 178 \, q^{6} t^{6} + 117 \, q^{5} t^{7} + 84 \, q^{4} t^{8} - 29 \, q^{3} t^{9} + 9 \, q^{7} t^{4} - 33 \, q^{6} t^{5} + 34 \, q^{5} t^{6} + 10 \, q^{4} t^{7} - 35 \, q^{3} t^{8} - 3 \, q^{2} t^{9} + q^{5} t^{5} - 5 \, q^{4} t^{6} + 10 \, q^{3} t^{7} - 10 \, q^{2} t^{8} + 5 \, q t^{9} + t^{10}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{5} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 6 edges: | [[0, 6], [1, 5], [2, 3], [2, 4], [3, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + 2 \, q^{19} t - q^{18} t^{2} + 12 \, q^{18} t - 8 \, q^{17} t^{2} - 8 \, q^{16} t^{3} - 43 \, q^{17} t - 20 \, q^{16} t^{2} + 31 \, q^{15} t^{3} + 14 \, q^{14} t^{4} + 16 \, q^{16} t + 16 \, q^{15} t^{2} + 44 \, q^{14} t^{3} - 12 \, q^{13} t^{4} - 4 \, q^{12} t^{5} + 12 \, q^{15} t + 158 \, q^{14} t^{2} - 32 \, q^{13} t^{3} - 119 \, q^{12} t^{4} - 30 \, q^{11} t^{5} + q^{10} t^{6} - 8 \, q^{14} t - 152 \, q^{13} t^{2} - 196 \, q^{12} t^{3} + 60 \, q^{11} t^{4} + 112 \, q^{10} t^{5} + q^{13} t + 34 \, q^{12} t^{2} + 27 \, q^{11} t^{3} + 184 \, q^{10} t^{4} + 27 \, q^{9} t^{5} + 34 \, q^{8} t^{6} + q^{7} t^{7} + 112 \, q^{10} t^{3} + 60 \, q^{9} t^{4} - 196 \, q^{8} t^{5} - 152 \, q^{7} t^{6} - 8 \, q^{6} t^{7} + q^{10} t^{2} - 30 \, q^{9} t^{3} - 119 \, q^{8} t^{4} - 32 \, q^{7} t^{5} + 158 \, q^{6} t^{6} + 12 \, q^{5} t^{7} - 4 \, q^{8} t^{3} - 12 \, q^{7} t^{4} + 44 \, q^{6} t^{5} + 16 \, q^{5} t^{6} + 16 \, q^{4} t^{7} + 14 \, q^{6} t^{4} + 31 \, q^{5} t^{5} - 20 \, q^{4} t^{6} - 43 \, q^{3} t^{7} - 8 \, q^{4} t^{5} - 8 \, q^{3} t^{6} + 12 \, q^{2} t^{7} - q^{2} t^{6} + 2 \, q t^{7} + t^{8}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{4} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[0, 6], [1, 5], [2, 3], [2, 4], [3, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{22} t + q^{22} - 2 \, q^{21} t - 3 \, q^{20} t^{2} + 5 \, q^{20} t - q^{19} t^{2} - 3 \, q^{18} t^{3} + q^{19} t - q^{18} t^{2} + 15 \, q^{17} t^{3} + q^{16} t^{4} - 48 \, q^{18} t - 17 \, q^{17} t^{2} + 24 \, q^{16} t^{3} + 15 \, q^{15} t^{4} + 54 \, q^{17} t + 77 \, q^{16} t^{2} - 39 \, q^{15} t^{3} - 49 \, q^{14} t^{4} - 3 \, q^{13} t^{5} - 22 \, q^{16} t + q^{15} t^{2} - 29 \, q^{14} t^{3} - 88 \, q^{13} t^{4} - 39 \, q^{12} t^{5} + 3 \, q^{15} t - 28 \, q^{14} t^{2} + 16 \, q^{13} t^{3} + 283 \, q^{12} t^{4} + 179 \, q^{11} t^{5} + 7 \, q^{10} t^{6} - 7 \, q^{13} t^{2} - 177 \, q^{12} t^{3} - 254 \, q^{11} t^{4} - 177 \, q^{10} t^{5} - 7 \, q^{9} t^{6} + 7 \, q^{12} t^{2} + 179 \, q^{11} t^{3} + 283 \, q^{10} t^{4} + 16 \, q^{9} t^{5} - 28 \, q^{8} t^{6} + 3 \, q^{7} t^{7} - 39 \, q^{10} t^{3} - 88 \, q^{9} t^{4} - 29 \, q^{8} t^{5} + q^{7} t^{6} - 22 \, q^{6} t^{7} - 3 \, q^{9} t^{3} - 49 \, q^{8} t^{4} - 39 \, q^{7} t^{5} + 77 \, q^{6} t^{6} + 54 \, q^{5} t^{7} + 15 \, q^{7} t^{4} + 24 \, q^{6} t^{5} - 17 \, q^{5} t^{6} - 48 \, q^{4} t^{7} + q^{6} t^{4} + 15 \, q^{5} t^{5} - q^{4} t^{6} + q^{3} t^{7} - 3 \, q^{4} t^{5} - q^{3} t^{6} + 5 \, q^{2} t^{7} - 3 \, q^{2} t^{6} - 2 \, q t^{7} + t^{8} + t^{7}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[1, 5], [1, 6], [2, 3], [2, 4], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{22} t + q^{22} - 2 \, q^{21} t - 3 \, q^{20} t^{2} + 5 \, q^{20} t - q^{19} t^{2} - 3 \, q^{18} t^{3} - 7 \, q^{19} t + 3 \, q^{18} t^{2} + 19 \, q^{17} t^{3} + q^{16} t^{4} - 24 \, q^{18} t - 15 \, q^{17} t^{2} + 6 \, q^{16} t^{3} + 11 \, q^{15} t^{4} + 28 \, q^{17} t + 63 \, q^{16} t^{2} - 29 \, q^{15} t^{3} - 51 \, q^{14} t^{4} - 3 \, q^{13} t^{5} - 10 \, q^{16} t + 5 \, q^{15} t^{2} - 11 \, q^{14} t^{3} - 28 \, q^{13} t^{4} - 21 \, q^{12} t^{5} + q^{15} t - 24 \, q^{14} t^{2} - 26 \, q^{13} t^{3} + 165 \, q^{12} t^{4} + 115 \, q^{11} t^{5} + 5 \, q^{10} t^{6} - 5 \, q^{13} t^{2} - 103 \, q^{12} t^{3} - 126 \, q^{11} t^{4} - 103 \, q^{10} t^{5} - 5 \, q^{9} t^{6} + 5 \, q^{12} t^{2} + 115 \, q^{11} t^{3} + 165 \, q^{10} t^{4} - 26 \, q^{9} t^{5} - 24 \, q^{8} t^{6} + q^{7} t^{7} - 21 \, q^{10} t^{3} - 28 \, q^{9} t^{4} - 11 \, q^{8} t^{5} + 5 \, q^{7} t^{6} - 10 \, q^{6} t^{7} - 3 \, q^{9} t^{3} - 51 \, q^{8} t^{4} - 29 \, q^{7} t^{5} + 63 \, q^{6} t^{6} + 28 \, q^{5} t^{7} + 11 \, q^{7} t^{4} + 6 \, q^{6} t^{5} - 15 \, q^{5} t^{6} - 24 \, q^{4} t^{7} + q^{6} t^{4} + 19 \, q^{5} t^{5} + 3 \, q^{4} t^{6} - 7 \, q^{3} t^{7} - 3 \, q^{4} t^{5} - q^{3} t^{6} + 5 \, q^{2} t^{7} - 3 \, q^{2} t^{6} - 2 \, q t^{7} + t^{8} + t^{7}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[1, 5], [1, 6], [2, 3], [2, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{20} t + q^{20} - 2 \, q^{19} t - 2 \, q^{18} t^{2} + 2 \, q^{18} t - q^{17} t^{2} - q^{16} t^{3} + 7 \, q^{17} t - q^{16} t^{2} + 4 \, q^{15} t^{3} - 42 \, q^{16} t + 15 \, q^{14} t^{3} + 3 \, q^{13} t^{4} + 38 \, q^{15} t + 21 \, q^{14} t^{2} - 3 \, q^{13} t^{3} + 10 \, q^{12} t^{4} - 12 \, q^{14} t + 21 \, q^{13} t^{2} - 62 \, q^{12} t^{3} - 99 \, q^{11} t^{4} - 9 \, q^{10} t^{5} + q^{13} t - 2 \, q^{12} t^{2} + 79 \, q^{11} t^{3} + 153 \, q^{10} t^{4} + 24 \, q^{9} t^{5} - 24 \, q^{11} t^{2} - 153 \, q^{10} t^{3} - 79 \, q^{9} t^{4} + 2 \, q^{8} t^{5} - q^{7} t^{6} + 9 \, q^{10} t^{2} + 99 \, q^{9} t^{3} + 62 \, q^{8} t^{4} - 21 \, q^{7} t^{5} + 12 \, q^{6} t^{6} - 10 \, q^{8} t^{3} + 3 \, q^{7} t^{4} - 21 \, q^{6} t^{5} - 38 \, q^{5} t^{6} - 3 \, q^{7} t^{3} - 15 \, q^{6} t^{4} + 42 \, q^{4} t^{6} - 4 \, q^{5} t^{4} + q^{4} t^{5} - 7 \, q^{3} t^{6} + q^{4} t^{4} + q^{3} t^{5} - 2 \, q^{2} t^{6} + 2 \, q^{2} t^{5} + 2 \, q t^{6} - t^{7} - t^{6}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[1, 5], [1, 6], [2, 3], [2, 4], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{20} t + q^{20} - 2 \, q^{19} t - 2 \, q^{18} t^{2} + 2 \, q^{18} t - q^{17} t^{2} - q^{16} t^{3} + 3 \, q^{17} t + q^{16} t^{2} + 4 \, q^{15} t^{3} - 32 \, q^{16} t + 4 \, q^{15} t^{2} + 15 \, q^{14} t^{3} + 3 \, q^{13} t^{4} + 30 \, q^{15} t + 3 \, q^{14} t^{2} - 15 \, q^{13} t^{3} + 4 \, q^{12} t^{4} - 10 \, q^{14} t + 45 \, q^{13} t^{2} - 36 \, q^{12} t^{3} - 71 \, q^{11} t^{4} - 5 \, q^{10} t^{5} + q^{13} t - 26 \, q^{12} t^{2} + 47 \, q^{11} t^{3} + 113 \, q^{10} t^{4} + 8 \, q^{9} t^{5} - 8 \, q^{11} t^{2} - 113 \, q^{10} t^{3} - 47 \, q^{9} t^{4} + 26 \, q^{8} t^{5} - q^{7} t^{6} + 5 \, q^{10} t^{2} + 71 \, q^{9} t^{3} + 36 \, q^{8} t^{4} - 45 \, q^{7} t^{5} + 10 \, q^{6} t^{6} - 4 \, q^{8} t^{3} + 15 \, q^{7} t^{4} - 3 \, q^{6} t^{5} - 30 \, q^{5} t^{6} - 3 \, q^{7} t^{3} - 15 \, q^{6} t^{4} - 4 \, q^{5} t^{5} + 32 \, q^{4} t^{6} - 4 \, q^{5} t^{4} - q^{4} t^{5} - 3 \, q^{3} t^{6} + q^{4} t^{4} + q^{3} t^{5} - 2 \, q^{2} t^{6} + 2 \, q^{2} t^{5} + 2 \, q t^{6} - t^{7} - t^{6}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[1, 5], [1, 6], [2, 3], [2, 4], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{22} + 2 \, q^{21} t - q^{20} t^{2} + 2 \, q^{20} t - 4 \, q^{19} t^{2} - 2 \, q^{18} t^{3} - 7 \, q^{19} t - 7 \, q^{18} t^{2} + 7 \, q^{17} t^{3} + q^{16} t^{4} - 28 \, q^{18} t - 14 \, q^{17} t^{2} + 32 \, q^{16} t^{3} + 10 \, q^{15} t^{4} + 34 \, q^{17} t + 99 \, q^{16} t^{2} - 19 \, q^{15} t^{3} - 41 \, q^{14} t^{4} - 3 \, q^{13} t^{5} - 12 \, q^{16} t - 24 \, q^{15} t^{2} - 18 \, q^{14} t^{3} - 20 \, q^{13} t^{4} - 18 \, q^{12} t^{5} + q^{15} t - 24 \, q^{14} t^{2} - 124 \, q^{13} t^{3} - q^{12} t^{4} + 77 \, q^{11} t^{5} + 5 \, q^{10} t^{6} - 2 \, q^{13} t^{2} + 12 \, q^{12} t^{3} + 172 \, q^{11} t^{4} + 12 \, q^{10} t^{5} - 2 \, q^{9} t^{6} + 5 \, q^{12} t^{2} + 77 \, q^{11} t^{3} - q^{10} t^{4} - 124 \, q^{9} t^{5} - 24 \, q^{8} t^{6} + q^{7} t^{7} - 18 \, q^{10} t^{3} - 20 \, q^{9} t^{4} - 18 \, q^{8} t^{5} - 24 \, q^{7} t^{6} - 12 \, q^{6} t^{7} - 3 \, q^{9} t^{3} - 41 \, q^{8} t^{4} - 19 \, q^{7} t^{5} + 99 \, q^{6} t^{6} + 34 \, q^{5} t^{7} + 10 \, q^{7} t^{4} + 32 \, q^{6} t^{5} - 14 \, q^{5} t^{6} - 28 \, q^{4} t^{7} + q^{6} t^{4} + 7 \, q^{5} t^{5} - 7 \, q^{4} t^{6} - 7 \, q^{3} t^{7} - 2 \, q^{4} t^{5} - 4 \, q^{3} t^{6} + 2 \, q^{2} t^{7} - q^{2} t^{6} + 2 \, q t^{7} + t^{8}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 6], [1, 5], [2, 3], [2, 4], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{22} + 2 \, q^{21} t - q^{20} t^{2} - 2 \, q^{20} t - 4 \, q^{19} t^{2} - 2 \, q^{18} t^{3} + 3 \, q^{19} t - q^{18} t^{2} + 11 \, q^{17} t^{3} + q^{16} t^{4} - 36 \, q^{18} t - 18 \, q^{17} t^{2} + 16 \, q^{16} t^{3} + 6 \, q^{15} t^{4} + 36 \, q^{17} t + 91 \, q^{16} t^{2} - 15 \, q^{15} t^{3} - 35 \, q^{14} t^{4} - 3 \, q^{13} t^{5} - 12 \, q^{16} t - 24 \, q^{15} t^{2} - 6 \, q^{14} t^{3} - 4 \, q^{13} t^{4} - 10 \, q^{12} t^{5} + q^{15} t - 14 \, q^{14} t^{2} - 122 \, q^{13} t^{3} - 15 \, q^{12} t^{4} + 55 \, q^{11} t^{5} + 5 \, q^{10} t^{6} - 6 \, q^{13} t^{2} + 20 \, q^{12} t^{3} + 164 \, q^{11} t^{4} + 20 \, q^{10} t^{5} - 6 \, q^{9} t^{6} + 5 \, q^{12} t^{2} + 55 \, q^{11} t^{3} - 15 \, q^{10} t^{4} - 122 \, q^{9} t^{5} - 14 \, q^{8} t^{6} + q^{7} t^{7} - 10 \, q^{10} t^{3} - 4 \, q^{9} t^{4} - 6 \, q^{8} t^{5} - 24 \, q^{7} t^{6} - 12 \, q^{6} t^{7} - 3 \, q^{9} t^{3} - 35 \, q^{8} t^{4} - 15 \, q^{7} t^{5} + 91 \, q^{6} t^{6} + 36 \, q^{5} t^{7} + 6 \, q^{7} t^{4} + 16 \, q^{6} t^{5} - 18 \, q^{5} t^{6} - 36 \, q^{4} t^{7} + q^{6} t^{4} + 11 \, q^{5} t^{5} - q^{4} t^{6} + 3 \, q^{3} t^{7} - 2 \, q^{4} t^{5} - 4 \, q^{3} t^{6} - 2 \, q^{2} t^{7} - q^{2} t^{6} + 2 \, q t^{7} + t^{8}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 6], [1, 5], [2, 3], [2, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + 2 \, q^{19} t - q^{18} t^{2} - 3 \, q^{18} t - 2 \, q^{17} t^{2} - q^{16} t^{3} + 5 \, q^{17} t + q^{15} t^{3} - 32 \, q^{16} t - 11 \, q^{15} t^{2} + 26 \, q^{14} t^{3} + 3 \, q^{13} t^{4} + 30 \, q^{15} t + 47 \, q^{14} t^{2} - 42 \, q^{13} t^{3} - q^{12} t^{4} - 10 \, q^{14} t + 2 \, q^{13} t^{2} + 41 \, q^{12} t^{3} - 34 \, q^{11} t^{4} - 5 \, q^{10} t^{5} + q^{13} t - 8 \, q^{12} t^{2} - 82 \, q^{11} t^{3} + 10 \, q^{10} t^{4} + 11 \, q^{9} t^{5} - 11 \, q^{11} t^{2} - 10 \, q^{10} t^{3} + 82 \, q^{9} t^{4} + 8 \, q^{8} t^{5} - q^{7} t^{6} + 5 \, q^{10} t^{2} + 34 \, q^{9} t^{3} - 41 \, q^{8} t^{4} - 2 \, q^{7} t^{5} + 10 \, q^{6} t^{6} + q^{8} t^{3} + 42 \, q^{7} t^{4} - 47 \, q^{6} t^{5} - 30 \, q^{5} t^{6} - 3 \, q^{7} t^{3} - 26 \, q^{6} t^{4} + 11 \, q^{5} t^{5} + 32 \, q^{4} t^{6} - q^{5} t^{4} - 5 \, q^{3} t^{6} + q^{4} t^{4} + 2 \, q^{3} t^{5} + 3 \, q^{2} t^{6} + q^{2} t^{5} - 2 \, q t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 6], [1, 5], [2, 3], [2, 4], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{23} + q^{22} t + q^{21} t - 3 \, q^{20} t^{2} - q^{20} t - 4 \, q^{19} t^{2} - q^{18} t^{3} - 30 \, q^{19} t - 15 \, q^{18} t^{2} + 14 \, q^{17} t^{3} + q^{16} t^{4} + 30 \, q^{18} t + 67 \, q^{17} t^{2} + 24 \, q^{16} t^{3} + 5 \, q^{15} t^{4} - 10 \, q^{17} t + 8 \, q^{16} t^{2} - 39 \, q^{15} t^{3} - 38 \, q^{14} t^{4} - 3 \, q^{13} t^{5} + q^{16} t - 23 \, q^{15} t^{2} - 61 \, q^{14} t^{3} - 36 \, q^{13} t^{4} - 15 \, q^{12} t^{5} - 7 \, q^{14} t^{2} - 75 \, q^{13} t^{3} + 103 \, q^{12} t^{4} + 100 \, q^{11} t^{5} + 5 \, q^{10} t^{6} + 5 \, q^{13} t^{2} + 100 \, q^{12} t^{3} + 103 \, q^{11} t^{4} - 75 \, q^{10} t^{5} - 7 \, q^{9} t^{6} - 15 \, q^{11} t^{3} - 36 \, q^{10} t^{4} - 61 \, q^{9} t^{5} - 23 \, q^{8} t^{6} + q^{7} t^{7} - 3 \, q^{10} t^{3} - 38 \, q^{9} t^{4} - 39 \, q^{8} t^{5} + 8 \, q^{7} t^{6} - 10 \, q^{6} t^{7} + 5 \, q^{8} t^{4} + 24 \, q^{7} t^{5} + 67 \, q^{6} t^{6} + 30 \, q^{5} t^{7} + q^{7} t^{4} + 14 \, q^{6} t^{5} - 15 \, q^{5} t^{6} - 30 \, q^{4} t^{7} - q^{5} t^{5} - 4 \, q^{4} t^{6} - q^{3} t^{7} - 3 \, q^{3} t^{6} + q^{2} t^{7} + q t^{7} + t^{8}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 6], [1, 5], [1, 6], [2, 3], [2, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{21} + q^{20} t - 2 \, q^{18} t^{2} + 5 \, q^{18} t - 2 \, q^{17} t^{2} - q^{16} t^{3} - 36 \, q^{17} t - 14 \, q^{16} t^{2} + 4 \, q^{15} t^{3} + 32 \, q^{16} t + 37 \, q^{15} t^{2} + 22 \, q^{14} t^{3} + 3 \, q^{13} t^{4} - 10 \, q^{15} t + 24 \, q^{14} t^{2} - 18 \, q^{13} t^{3} + 6 \, q^{12} t^{4} + q^{14} t - 11 \, q^{13} t^{2} - 13 \, q^{12} t^{3} - 84 \, q^{11} t^{4} - 7 \, q^{10} t^{5} - 18 \, q^{12} t^{2} - 104 \, q^{11} t^{3} + 104 \, q^{10} t^{4} + 18 \, q^{9} t^{5} + 7 \, q^{11} t^{2} + 84 \, q^{10} t^{3} + 13 \, q^{9} t^{4} + 11 \, q^{8} t^{5} - q^{7} t^{6} - 6 \, q^{9} t^{3} + 18 \, q^{8} t^{4} - 24 \, q^{7} t^{5} + 10 \, q^{6} t^{6} - 3 \, q^{8} t^{3} - 22 \, q^{7} t^{4} - 37 \, q^{6} t^{5} - 32 \, q^{5} t^{6} - 4 \, q^{6} t^{4} + 14 \, q^{5} t^{5} + 36 \, q^{4} t^{6} + q^{5} t^{4} + 2 \, q^{4} t^{5} - 5 \, q^{3} t^{6} + 2 \, q^{3} t^{5} - q t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 6], [1, 5], [1, 6], [2, 3], [2, 4], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{21} + q^{20} t - 2 \, q^{18} t^{2} + 3 \, q^{18} t - 2 \, q^{17} t^{2} - q^{16} t^{3} - 32 \, q^{17} t - 8 \, q^{16} t^{2} + 4 \, q^{15} t^{3} + 30 \, q^{16} t + 25 \, q^{15} t^{2} + 18 \, q^{14} t^{3} + 3 \, q^{13} t^{4} - 10 \, q^{15} t + 36 \, q^{14} t^{2} - 16 \, q^{13} t^{3} + 4 \, q^{12} t^{4} + q^{14} t - 25 \, q^{13} t^{2} - 17 \, q^{12} t^{3} - 68 \, q^{11} t^{4} - 5 \, q^{10} t^{5} - 8 \, q^{12} t^{2} - 84 \, q^{11} t^{3} + 84 \, q^{10} t^{4} + 8 \, q^{9} t^{5} + 5 \, q^{11} t^{2} + 68 \, q^{10} t^{3} + 17 \, q^{9} t^{4} + 25 \, q^{8} t^{5} - q^{7} t^{6} - 4 \, q^{9} t^{3} + 16 \, q^{8} t^{4} - 36 \, q^{7} t^{5} + 10 \, q^{6} t^{6} - 3 \, q^{8} t^{3} - 18 \, q^{7} t^{4} - 25 \, q^{6} t^{5} - 30 \, q^{5} t^{6} - 4 \, q^{6} t^{4} + 8 \, q^{5} t^{5} + 32 \, q^{4} t^{6} + q^{5} t^{4} + 2 \, q^{4} t^{5} - 3 \, q^{3} t^{6} + 2 \, q^{3} t^{5} - q t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 6], [1, 5], [1, 6], [2, 3], [2, 4], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{21} + q^{20} t - 2 \, q^{18} t^{2} + 3 \, q^{18} t - 2 \, q^{17} t^{2} - q^{16} t^{3} - 30 \, q^{17} t - 12 \, q^{16} t^{2} + 4 \, q^{15} t^{3} + 26 \, q^{16} t + 33 \, q^{15} t^{2} + 26 \, q^{14} t^{3} + 3 \, q^{13} t^{4} - 8 \, q^{15} t + 26 \, q^{14} t^{2} - 32 \, q^{13} t^{3} + q^{14} t - 13 \, q^{13} t^{2} - q^{12} t^{3} - 68 \, q^{11} t^{4} - 5 \, q^{10} t^{5} - 14 \, q^{12} t^{2} - 96 \, q^{11} t^{3} + 96 \, q^{10} t^{4} + 14 \, q^{9} t^{5} + 5 \, q^{11} t^{2} + 68 \, q^{10} t^{3} + q^{9} t^{4} + 13 \, q^{8} t^{5} - q^{7} t^{6} + 32 \, q^{8} t^{4} - 26 \, q^{7} t^{5} + 8 \, q^{6} t^{6} - 3 \, q^{8} t^{3} - 26 \, q^{7} t^{4} - 33 \, q^{6} t^{5} - 26 \, q^{5} t^{6} - 4 \, q^{6} t^{4} + 12 \, q^{5} t^{5} + 30 \, q^{4} t^{6} + q^{5} t^{4} + 2 \, q^{4} t^{5} - 3 \, q^{3} t^{6} + 2 \, q^{3} t^{5} - q t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 6], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{21} + q^{20} t - 2 \, q^{18} t^{2} + q^{18} t - 2 \, q^{17} t^{2} - q^{16} t^{3} - 26 \, q^{17} t - 6 \, q^{16} t^{2} + 4 \, q^{15} t^{3} + 24 \, q^{16} t + 23 \, q^{15} t^{2} + 20 \, q^{14} t^{3} + 3 \, q^{13} t^{4} - 8 \, q^{15} t + 30 \, q^{14} t^{2} - 26 \, q^{13} t^{3} + 2 \, q^{12} t^{4} + q^{14} t - 15 \, q^{13} t^{2} - q^{12} t^{3} - 66 \, q^{11} t^{4} - 5 \, q^{10} t^{5} - 12 \, q^{12} t^{2} - 92 \, q^{11} t^{3} + 92 \, q^{10} t^{4} + 12 \, q^{9} t^{5} + 5 \, q^{11} t^{2} + 66 \, q^{10} t^{3} + q^{9} t^{4} + 15 \, q^{8} t^{5} - q^{7} t^{6} - 2 \, q^{9} t^{3} + 26 \, q^{8} t^{4} - 30 \, q^{7} t^{5} + 8 \, q^{6} t^{6} - 3 \, q^{8} t^{3} - 20 \, q^{7} t^{4} - 23 \, q^{6} t^{5} - 24 \, q^{5} t^{6} - 4 \, q^{6} t^{4} + 6 \, q^{5} t^{5} + 26 \, q^{4} t^{6} + q^{5} t^{4} + 2 \, q^{4} t^{5} - q^{3} t^{6} + 2 \, q^{3} t^{5} - q t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 6], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{19} + 5 \, q^{18} t - q^{17} t^{2} - q^{16} t^{3} - q^{17} t - 15 \, q^{16} t^{2} - q^{15} t^{3} + 3 \, q^{14} t^{4} - 25 \, q^{16} t - 22 \, q^{15} t^{2} + 24 \, q^{14} t^{3} + 14 \, q^{13} t^{4} - 5 \, q^{12} t^{5} + 6 \, q^{15} t + 103 \, q^{14} t^{2} + 94 \, q^{13} t^{3} - 66 \, q^{12} t^{4} + 4 \, q^{11} t^{5} - q^{10} t^{6} + 14 \, q^{14} t - 2 \, q^{13} t^{2} - 207 \, q^{12} t^{3} - 61 \, q^{11} t^{4} - 11 \, q^{10} t^{5} + 11 \, q^{9} t^{6} - 8 \, q^{13} t - 36 \, q^{12} t^{2} - 76 \, q^{11} t^{3} + 145 \, q^{10} t^{4} + 123 \, q^{9} t^{5} - 9 \, q^{8} t^{6} + q^{7} t^{7} + q^{12} t - 9 \, q^{11} t^{2} + 123 \, q^{10} t^{3} + 145 \, q^{9} t^{4} - 76 \, q^{8} t^{5} - 36 \, q^{7} t^{6} - 8 \, q^{6} t^{7} + 11 \, q^{10} t^{2} - 11 \, q^{9} t^{3} - 61 \, q^{8} t^{4} - 207 \, q^{7} t^{5} - 2 \, q^{6} t^{6} + 14 \, q^{5} t^{7} - q^{9} t^{2} + 4 \, q^{8} t^{3} - 66 \, q^{7} t^{4} + 94 \, q^{6} t^{5} + 103 \, q^{5} t^{6} + 6 \, q^{4} t^{7} - 5 \, q^{7} t^{3} + 14 \, q^{6} t^{4} + 24 \, q^{5} t^{5} - 22 \, q^{4} t^{6} - 25 \, q^{3} t^{7} + 3 \, q^{5} t^{4} - q^{4} t^{5} - 15 \, q^{3} t^{6} - q^{2} t^{7} - q^{3} t^{5} - q^{2} t^{6} + 5 \, q t^{7} + t^{8}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[0, 5], [1, 6], [2, 3], [2, 4], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + 2 \, q^{19} t - q^{18} t^{2} - q^{18} t - 2 \, q^{17} t^{2} - q^{16} t^{3} + q^{17} t - 4 \, q^{16} t^{2} + q^{15} t^{3} - 30 \, q^{16} t - 5 \, q^{15} t^{2} + 26 \, q^{14} t^{3} + 3 \, q^{13} t^{4} + 30 \, q^{15} t + 41 \, q^{14} t^{2} - 32 \, q^{13} t^{3} + q^{12} t^{4} - 10 \, q^{14} t + 14 \, q^{13} t^{2} + 27 \, q^{12} t^{3} - 44 \, q^{11} t^{4} - 5 \, q^{10} t^{5} + q^{13} t - 18 \, q^{12} t^{2} - 78 \, q^{11} t^{3} + 18 \, q^{10} t^{4} + 9 \, q^{9} t^{5} - 9 \, q^{11} t^{2} - 18 \, q^{10} t^{3} + 78 \, q^{9} t^{4} + 18 \, q^{8} t^{5} - q^{7} t^{6} + 5 \, q^{10} t^{2} + 44 \, q^{9} t^{3} - 27 \, q^{8} t^{4} - 14 \, q^{7} t^{5} + 10 \, q^{6} t^{6} - q^{8} t^{3} + 32 \, q^{7} t^{4} - 41 \, q^{6} t^{5} - 30 \, q^{5} t^{6} - 3 \, q^{7} t^{3} - 26 \, q^{6} t^{4} + 5 \, q^{5} t^{5} + 30 \, q^{4} t^{6} - q^{5} t^{4} + 4 \, q^{4} t^{5} - q^{3} t^{6} + q^{4} t^{4} + 2 \, q^{3} t^{5} + q^{2} t^{6} + q^{2} t^{5} - 2 \, q t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 5], [1, 6], [2, 3], [2, 4], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{30} + 5 \, q^{28} t - 5 \, q^{27} t - q^{26} t^{2} - 22 \, q^{26} t - 25 \, q^{25} t^{2} - q^{24} t^{3} + 14 \, q^{25} t + 19 \, q^{24} t^{2} + 3 \, q^{23} t^{3} + 56 \, q^{23} t^{2} + 47 \, q^{22} t^{3} + 3 \, q^{21} t^{4} - q^{23} t + 41 \, q^{22} t^{2} + 43 \, q^{21} t^{3} + 9 \, q^{20} t^{4} - 77 \, q^{21} t^{2} - 257 \, q^{20} t^{3} - 125 \, q^{19} t^{4} - 5 \, q^{18} t^{5} + 25 \, q^{20} t^{2} + 34 \, q^{19} t^{3} + 65 \, q^{18} t^{4} + 5 \, q^{17} t^{5} - 2 \, q^{19} t^{2} + 17 \, q^{18} t^{3} + 80 \, q^{17} t^{4} + 25 \, q^{16} t^{5} - q^{15} t^{6} + 47 \, q^{17} t^{3} + 272 \, q^{16} t^{4} + 153 \, q^{15} t^{5} + 18 \, q^{14} t^{6} - 18 \, q^{16} t^{3} - 153 \, q^{15} t^{4} - 272 \, q^{14} t^{5} - 47 \, q^{13} t^{6} + q^{15} t^{3} - 25 \, q^{14} t^{4} - 80 \, q^{13} t^{5} - 17 \, q^{12} t^{6} + 2 \, q^{11} t^{7} - 5 \, q^{13} t^{4} - 65 \, q^{12} t^{5} - 34 \, q^{11} t^{6} - 25 \, q^{10} t^{7} + 5 \, q^{12} t^{4} + 125 \, q^{11} t^{5} + 257 \, q^{10} t^{6} + 77 \, q^{9} t^{7} - 9 \, q^{10} t^{5} - 43 \, q^{9} t^{6} - 41 \, q^{8} t^{7} + q^{7} t^{8} - 3 \, q^{9} t^{5} - 47 \, q^{8} t^{6} - 56 \, q^{7} t^{7} - 3 \, q^{7} t^{6} - 19 \, q^{6} t^{7} - 14 \, q^{5} t^{8} + q^{6} t^{6} + 25 \, q^{5} t^{7} + 22 \, q^{4} t^{8} + q^{4} t^{7} + 5 \, q^{3} t^{8} - 5 \, q^{2} t^{8} - t^{9}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 5], [0, 6], [1, 5], [1, 6], [2, 3], [2, 4], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{22} + 5 \, q^{20} t - 5 \, q^{19} t - q^{18} t^{2} - 24 \, q^{18} t - 25 \, q^{17} t^{2} - q^{16} t^{3} + 24 \, q^{17} t + 37 \, q^{16} t^{2} + 3 \, q^{15} t^{3} - 8 \, q^{16} t + 40 \, q^{15} t^{2} + 41 \, q^{14} t^{3} + 3 \, q^{13} t^{4} + q^{15} t - 24 \, q^{14} t^{2} - 25 \, q^{13} t^{3} + 7 \, q^{12} t^{4} - 11 \, q^{13} t^{2} - 148 \, q^{12} t^{3} - 105 \, q^{11} t^{4} - 5 \, q^{10} t^{5} + 5 \, q^{12} t^{2} + 105 \, q^{11} t^{3} + 148 \, q^{10} t^{4} + 11 \, q^{9} t^{5} - 7 \, q^{10} t^{3} + 25 \, q^{9} t^{4} + 24 \, q^{8} t^{5} - q^{7} t^{6} - 3 \, q^{9} t^{3} - 41 \, q^{8} t^{4} - 40 \, q^{7} t^{5} + 8 \, q^{6} t^{6} - 3 \, q^{7} t^{4} - 37 \, q^{6} t^{5} - 24 \, q^{5} t^{6} + q^{6} t^{4} + 25 \, q^{5} t^{5} + 24 \, q^{4} t^{6} + q^{4} t^{5} + 5 \, q^{3} t^{6} - 5 \, q^{2} t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 5], [0, 6], [1, 5], [1, 6], [2, 3], [2, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + 4 \, q^{18} t - q^{17} t + q^{16} t^{2} - 24 \, q^{16} t - 10 \, q^{15} t^{2} + 20 \, q^{15} t - 19 \, q^{14} t^{2} - 3 \, q^{13} t^{3} - 6 \, q^{14} t + 80 \, q^{13} t^{2} + 2 \, q^{12} t^{3} + q^{13} t - 28 \, q^{12} t^{2} + 87 \, q^{11} t^{3} + 5 \, q^{10} t^{4} - 14 \, q^{11} t^{2} - 192 \, q^{10} t^{3} - 14 \, q^{9} t^{4} + 5 \, q^{10} t^{2} + 87 \, q^{9} t^{3} - 28 \, q^{8} t^{4} + q^{7} t^{5} + 2 \, q^{8} t^{3} + 80 \, q^{7} t^{4} - 6 \, q^{6} t^{5} - 3 \, q^{7} t^{3} - 19 \, q^{6} t^{4} + 20 \, q^{5} t^{5} - 10 \, q^{5} t^{4} - 24 \, q^{4} t^{5} + q^{4} t^{4} - q^{3} t^{5} + 4 \, q^{2} t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 5], [0, 6], [1, 5], [1, 6], [2, 3], [2, 4], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + 4 \, q^{18} t - q^{17} t + q^{16} t^{2} - 26 \, q^{16} t - 10 \, q^{15} t^{2} + 24 \, q^{15} t - 15 \, q^{14} t^{2} - 3 \, q^{13} t^{3} - 8 \, q^{14} t + 76 \, q^{13} t^{2} + q^{13} t - 32 \, q^{12} t^{2} + 83 \, q^{11} t^{3} + 5 \, q^{10} t^{4} - 10 \, q^{11} t^{2} - 180 \, q^{10} t^{3} - 10 \, q^{9} t^{4} + 5 \, q^{10} t^{2} + 83 \, q^{9} t^{3} - 32 \, q^{8} t^{4} + q^{7} t^{5} + 76 \, q^{7} t^{4} - 8 \, q^{6} t^{5} - 3 \, q^{7} t^{3} - 15 \, q^{6} t^{4} + 24 \, q^{5} t^{5} - 10 \, q^{5} t^{4} - 26 \, q^{4} t^{5} + q^{4} t^{4} - q^{3} t^{5} + 4 \, q^{2} t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 5], [0, 6], [1, 5], [1, 6], [2, 3], [2, 4], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{18} t - 2 \, q^{17} t^{2} - q^{16} t^{3} + q^{18} + q^{16} t^{2} + 2 \, q^{15} t^{3} - 2 \, q^{16} t - 3 \, q^{15} t^{2} + 4 \, q^{14} t^{3} + 3 \, q^{13} t^{4} + q^{15} t - 4 \, q^{14} t^{2} + 15 \, q^{13} t^{3} - 6 \, q^{12} t^{4} - 26 \, q^{14} t + 24 \, q^{13} t^{2} - 35 \, q^{12} t^{3} + 2 \, q^{11} t^{4} - 5 \, q^{10} t^{5} + 28 \, q^{13} t + 9 \, q^{12} t^{2} + 16 \, q^{11} t^{3} - 45 \, q^{10} t^{4} + 10 \, q^{9} t^{5} - 10 \, q^{12} t + 9 \, q^{11} t^{2} - 10 \, q^{10} t^{3} + 72 \, q^{9} t^{4} + 8 \, q^{8} t^{5} - q^{7} t^{6} + q^{11} t - 8 \, q^{10} t^{2} - 72 \, q^{9} t^{3} + 10 \, q^{8} t^{4} - 9 \, q^{7} t^{5} + 10 \, q^{6} t^{6} - 10 \, q^{9} t^{2} + 45 \, q^{8} t^{3} - 16 \, q^{7} t^{4} - 9 \, q^{6} t^{5} - 28 \, q^{5} t^{6} + 5 \, q^{8} t^{2} - 2 \, q^{7} t^{3} + 35 \, q^{6} t^{4} - 24 \, q^{5} t^{5} + 26 \, q^{4} t^{6} + 6 \, q^{6} t^{3} - 15 \, q^{5} t^{4} + 4 \, q^{4} t^{5} - q^{3} t^{6} - 3 \, q^{5} t^{3} - 4 \, q^{4} t^{4} + 3 \, q^{3} t^{5} + 2 \, q^{2} t^{6} - 2 \, q^{3} t^{4} - q^{2} t^{5} - t^{7} + q^{2} t^{4} + 2 \, q t^{5} - t^{6}}{{\left(q^{3} - t\right)}^{3} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[1, 6], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + 4 \, q^{19} t + q^{18} t^{2} - 7 \, q^{18} t - 6 \, q^{17} t^{2} - q^{16} t^{3} + 5 \, q^{17} t - 6 \, q^{16} t^{2} + q^{15} t^{3} - 26 \, q^{16} t - 5 \, q^{15} t^{2} + 12 \, q^{14} t^{3} + 3 \, q^{13} t^{4} + 24 \, q^{15} t + 71 \, q^{14} t^{2} + 10 \, q^{13} t^{3} - 7 \, q^{12} t^{4} - 8 \, q^{14} t - 38 \, q^{13} t^{2} + 7 \, q^{12} t^{3} + 2 \, q^{11} t^{4} - 5 \, q^{10} t^{5} + q^{13} t + 16 \, q^{12} t^{2} - 138 \, q^{11} t^{3} - 72 \, q^{10} t^{4} + 17 \, q^{9} t^{5} - 17 \, q^{11} t^{2} + 72 \, q^{10} t^{3} + 138 \, q^{9} t^{4} - 16 \, q^{8} t^{5} - q^{7} t^{6} + 5 \, q^{10} t^{2} - 2 \, q^{9} t^{3} - 7 \, q^{8} t^{4} + 38 \, q^{7} t^{5} + 8 \, q^{6} t^{6} + 7 \, q^{8} t^{3} - 10 \, q^{7} t^{4} - 71 \, q^{6} t^{5} - 24 \, q^{5} t^{6} - 3 \, q^{7} t^{3} - 12 \, q^{6} t^{4} + 5 \, q^{5} t^{5} + 26 \, q^{4} t^{6} - q^{5} t^{4} + 6 \, q^{4} t^{5} - 5 \, q^{3} t^{6} + q^{4} t^{4} + 6 \, q^{3} t^{5} + 7 \, q^{2} t^{6} - q^{2} t^{5} - 4 \, q t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 6], [1, 6], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{7} t^{2} + 4 \, q^{7} t - 4 \, q^{6} t^{2} + q^{7} - 8 \, q^{6} t + 4 \, q^{5} t^{2} + 2 \, q^{5} t - 2 \, q^{2} t^{2} - 4 \, q^{2} t + 8 \, q t^{2} - t^{3} + 4 \, q t - 4 \, t^{2} - t}{q^{7} {\left(t - 1\right)}^{4}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{15} t - 2 \, q^{14} t^{2} - q^{13} t^{3} + q^{15} + q^{13} t^{2} + 4 \, q^{12} t^{3} - 6 \, q^{13} t + 2 \, q^{12} t^{2} - 2 \, q^{11} t^{3} + 2 \, q^{10} t^{4} + 4 \, q^{12} t - 4 \, q^{11} t^{2} + 8 \, q^{10} t^{3} - 8 \, q^{9} t^{4} - 10 \, q^{11} t + 14 \, q^{10} t^{2} - 17 \, q^{9} t^{3} + 8 \, q^{8} t^{4} - q^{7} t^{5} + 4 \, q^{10} t + 11 \, q^{9} t^{2} - 2 \, q^{8} t^{3} - 9 \, q^{7} t^{4} + 2 \, q^{6} t^{5} + 2 \, q^{9} t - 9 \, q^{8} t^{2} - 2 \, q^{7} t^{3} + 11 \, q^{6} t^{4} + 4 \, q^{5} t^{5} - q^{8} t + 8 \, q^{7} t^{2} - 17 \, q^{6} t^{3} + 14 \, q^{5} t^{4} - 10 \, q^{4} t^{5} - 8 \, q^{6} t^{2} + 8 \, q^{5} t^{3} - 4 \, q^{4} t^{4} + 4 \, q^{3} t^{5} + 2 \, q^{5} t^{2} - 2 \, q^{4} t^{3} + 2 \, q^{3} t^{4} - 6 \, q^{2} t^{5} + 4 \, q^{3} t^{3} + q^{2} t^{4} + t^{6} - q^{2} t^{3} - 2 \, q t^{4} + t^{5}}{{\left(q^{3} - t\right)}^{2} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[1, 6], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{9} t - 2 \, q^{8} t^{2} - q^{7} t^{3} + q^{9} + q^{7} t^{2} + 4 \, q^{6} t^{3} - 6 \, q^{7} t + 4 \, q^{6} t^{2} - 4 \, q^{5} t^{3} + 2 \, q^{6} t + 2 \, q^{3} t^{3} - 4 \, q^{4} t + 4 \, q^{3} t^{2} - 6 \, q^{2} t^{3} + 4 \, q^{3} t + q^{2} t^{2} + t^{4} - q^{2} t - 2 \, q t^{2} + t^{3}}{{\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{11} + 4 \, q^{10} t + q^{9} t^{2} - 7 \, q^{9} t - 6 \, q^{8} t^{2} - q^{7} t^{3} + 2 \, q^{7} t^{2} + 4 \, q^{6} t^{3} - 2 \, q^{7} t + 6 \, q^{6} t^{2} - 2 \, q^{5} t^{3} - 2 \, q^{6} t + 6 \, q^{5} t^{2} - 2 \, q^{4} t^{3} + 4 \, q^{5} t + 2 \, q^{4} t^{2} - q^{4} t - 6 \, q^{3} t^{2} - 7 \, q^{2} t^{3} + q^{2} t^{2} + 4 \, q t^{3} + t^{4}}{{\left(q^{2} - t\right)} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 6], [1, 6], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{12} + 4 \, q^{11} t + q^{10} t^{2} - 8 \, q^{10} t - 4 \, q^{9} t^{2} + 3 \, q^{9} t + 2 \, q^{8} t^{2} - q^{7} t^{3} - 4 \, q^{8} t - 4 \, q^{7} t^{2} + 4 \, q^{6} t^{3} - 2 \, q^{7} t + 16 \, q^{6} t^{2} - 2 \, q^{5} t^{3} + 4 \, q^{6} t - 4 \, q^{5} t^{2} - 4 \, q^{4} t^{3} - q^{5} t + 2 \, q^{4} t^{2} + 3 \, q^{3} t^{3} - 4 \, q^{3} t^{2} - 8 \, q^{2} t^{3} + q^{2} t^{2} + 4 \, q t^{3} + t^{4}}{{\left(q^{3} - t\right)} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 6], [1, 6], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{9} + 4 \, q^{8} t + q^{7} t^{2} - 8 \, q^{7} t - 4 \, q^{6} t^{2} + 2 \, q^{6} t + 4 \, q^{5} t^{2} - 4 \, q^{4} t - 2 \, q^{3} t^{2} + 4 \, q^{3} t + 8 \, q^{2} t^{2} - q^{2} t - 4 \, q t^{2} - t^{3}}{{\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 6], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{7} t^{2} + 4 \, q^{7} t - 2 \, q^{6} t^{2} + q^{7} - 4 \, q^{6} t - 4 \, q^{4} t^{2} - 8 \, q^{4} t + 8 \, q^{3} t^{2} + 4 \, q^{3} t + 4 \, q t^{2} - t^{3} + 2 \, q t - 4 \, t^{2} - t}{q^{7} {\left(t - 1\right)}^{4}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 6 edges: | [[1, 5], [1, 6], [2, 3], [2, 4], [3, 4], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{10} t - 3 \, q^{9} t^{2} - 3 \, q^{8} t^{3} + q^{7} t^{4} + q^{10} + 5 \, q^{9} t - 3 \, q^{8} t^{2} + 13 \, q^{7} t^{3} - 12 \, q^{8} t - 6 \, q^{6} t^{3} - 6 \, q^{5} t^{4} - 2 \, q^{7} t + 20 \, q^{6} t^{2} + 2 \, q^{4} t^{4} - 2 \, q^{6} t - 20 \, q^{4} t^{3} + 2 \, q^{3} t^{4} + 6 \, q^{5} t + 6 \, q^{4} t^{2} + 12 \, q^{2} t^{4} - 13 \, q^{3} t^{2} + 3 \, q^{2} t^{3} - 5 \, q t^{4} - t^{5} - q^{3} t + 3 \, q^{2} t^{2} + 3 \, q t^{3} - t^{4}}{{\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 6 edges: | [[0, 6], [1, 5], [2, 3], [2, 4], [3, 4], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{15} t + q^{15} - 2 \, q^{14} t - 4 \, q^{13} t^{2} + 12 \, q^{13} t - 12 \, q^{11} t^{3} - 32 \, q^{12} t + 8 \, q^{11} t^{2} + 60 \, q^{10} t^{3} + 4 \, q^{9} t^{4} + 16 \, q^{11} t - 30 \, q^{10} t^{2} - 70 \, q^{9} t^{3} - q^{7} t^{5} - 2 \, q^{10} t + 94 \, q^{9} t^{2} + 12 \, q^{8} t^{3} - 57 \, q^{7} t^{4} + 2 \, q^{6} t^{5} + 2 \, q^{9} t - 57 \, q^{8} t^{2} + 12 \, q^{7} t^{3} + 94 \, q^{6} t^{4} - 2 \, q^{5} t^{5} - q^{8} t - 70 \, q^{6} t^{3} - 30 \, q^{5} t^{4} + 16 \, q^{4} t^{5} + 4 \, q^{6} t^{2} + 60 \, q^{5} t^{3} + 8 \, q^{4} t^{4} - 32 \, q^{3} t^{5} - 12 \, q^{4} t^{3} + 12 \, q^{2} t^{5} - 4 \, q^{2} t^{4} - 2 \, q t^{5} + t^{6} + t^{5}}{{\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[1, 5], [1, 6], [2, 3], [2, 4], [3, 4], [3, 6], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + 2 \, q^{14} t - q^{13} t^{2} + 5 \, q^{13} t - 6 \, q^{12} t^{2} - 5 \, q^{11} t^{3} - 22 \, q^{12} t - 5 \, q^{11} t^{2} + 24 \, q^{10} t^{3} + 3 \, q^{9} t^{4} + 4 \, q^{11} t + 14 \, q^{10} t^{2} - q^{9} t^{3} - q^{7} t^{5} + 6 \, q^{10} t + 52 \, q^{9} t^{2} - 28 \, q^{8} t^{3} - 42 \, q^{7} t^{4} - 42 \, q^{8} t^{2} - 28 \, q^{7} t^{3} + 52 \, q^{6} t^{4} + 6 \, q^{5} t^{5} - q^{8} t - q^{6} t^{3} + 14 \, q^{5} t^{4} + 4 \, q^{4} t^{5} + 3 \, q^{6} t^{2} + 24 \, q^{5} t^{3} - 5 \, q^{4} t^{4} - 22 \, q^{3} t^{5} - 5 \, q^{4} t^{3} - 6 \, q^{3} t^{4} + 5 \, q^{2} t^{5} - q^{2} t^{4} + 2 \, q t^{5} + t^{6}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 6], [1, 5], [2, 3], [2, 4], [3, 4], [3, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{13} t + q^{13} - 2 \, q^{12} t - 3 \, q^{11} t^{2} + 5 \, q^{11} t + 2 \, q^{10} t^{2} - 3 \, q^{9} t^{3} - 12 \, q^{10} t + q^{9} t^{2} + 14 \, q^{8} t^{3} + q^{7} t^{4} + 2 \, q^{8} t^{2} - 9 \, q^{7} t^{3} - 2 \, q^{6} t^{4} + 2 \, q^{8} t + 10 \, q^{7} t^{2} - 10 \, q^{6} t^{3} - 2 \, q^{5} t^{4} + 2 \, q^{7} t + 9 \, q^{6} t^{2} - 2 \, q^{5} t^{3} - q^{6} t - 14 \, q^{5} t^{2} - q^{4} t^{3} + 12 \, q^{3} t^{4} + 3 \, q^{4} t^{2} - 2 \, q^{3} t^{3} - 5 \, q^{2} t^{4} + 3 \, q^{2} t^{3} + 2 \, q t^{4} - t^{5} - t^{4}}{{\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[1, 5], [1, 6], [2, 3], [2, 4], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{11} t + q^{11} - 2 \, q^{10} t - 2 \, q^{9} t^{2} + 2 \, q^{9} t + 2 \, q^{8} t^{2} - q^{7} t^{3} + 2 \, q^{8} t - 3 \, q^{7} t^{2} - 18 \, q^{7} t + 6 \, q^{6} t^{2} + 12 \, q^{5} t^{3} + 12 \, q^{6} t + 6 \, q^{5} t^{2} - 18 \, q^{4} t^{3} - 3 \, q^{4} t^{2} + 2 \, q^{3} t^{3} - q^{4} t + 2 \, q^{3} t^{2} + 2 \, q^{2} t^{3} - 2 \, q^{2} t^{2} - 2 \, q t^{3} + t^{4} + t^{3}}{{\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[1, 5], [1, 6], [2, 3], [2, 4], [2, 6], [3, 4], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{11} t + q^{11} - 2 \, q^{10} t - 2 \, q^{9} t^{2} + 2 \, q^{9} t + 2 \, q^{8} t^{2} - q^{7} t^{3} - 2 \, q^{8} t - q^{7} t^{2} + 2 \, q^{6} t^{3} - 8 \, q^{7} t + 4 \, q^{6} t^{2} + 4 \, q^{5} t^{3} + 4 \, q^{6} t + 4 \, q^{5} t^{2} - 8 \, q^{4} t^{3} + 2 \, q^{5} t - q^{4} t^{2} - 2 \, q^{3} t^{3} - q^{4} t + 2 \, q^{3} t^{2} + 2 \, q^{2} t^{3} - 2 \, q^{2} t^{2} - 2 \, q t^{3} + t^{4} + t^{3}}{{\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[1, 5], [1, 6], [2, 3], [2, 4], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + 2 \, q^{15} t - q^{14} t^{2} - 2 \, q^{14} t - 4 \, q^{13} t^{2} - 2 \, q^{12} t^{3} - 3 \, q^{13} t + 3 \, q^{12} t^{2} + 13 \, q^{11} t^{3} + q^{10} t^{4} - 12 \, q^{12} t - 2 \, q^{11} t^{2} - 8 \, q^{10} t^{3} - 2 \, q^{9} t^{4} + 10 \, q^{11} t + 38 \, q^{10} t^{2} + 3 \, q^{9} t^{3} - 2 \, q^{8} t^{4} - q^{7} t^{5} - 16 \, q^{9} t^{2} - 32 \, q^{8} t^{3} - 16 \, q^{7} t^{4} - q^{9} t - 2 \, q^{8} t^{2} + 3 \, q^{7} t^{3} + 38 \, q^{6} t^{4} + 10 \, q^{5} t^{5} - 2 \, q^{7} t^{2} - 8 \, q^{6} t^{3} - 2 \, q^{5} t^{4} - 12 \, q^{4} t^{5} + q^{6} t^{2} + 13 \, q^{5} t^{3} + 3 \, q^{4} t^{4} - 3 \, q^{3} t^{5} - 2 \, q^{4} t^{3} - 4 \, q^{3} t^{4} - 2 \, q^{2} t^{5} - q^{2} t^{4} + 2 \, q t^{5} + t^{6}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 6], [1, 5], [2, 3], [2, 4], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + q^{13} t + q^{12} t - 3 \, q^{11} t^{2} - 4 \, q^{11} t - q^{10} t^{2} - q^{9} t^{3} - 10 \, q^{10} t - 2 \, q^{9} t^{2} + 9 \, q^{8} t^{3} + q^{7} t^{4} + 6 \, q^{9} t + 26 \, q^{8} t^{2} + 2 \, q^{7} t^{3} - 2 \, q^{6} t^{4} + 2 \, q^{8} t - 2 \, q^{7} t^{2} - 26 \, q^{6} t^{3} - 6 \, q^{5} t^{4} - q^{7} t - 9 \, q^{6} t^{2} + 2 \, q^{5} t^{3} + 10 \, q^{4} t^{4} + q^{5} t^{2} + q^{4} t^{3} + 4 \, q^{3} t^{4} + 3 \, q^{3} t^{3} - q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 6], [1, 5], [1, 6], [2, 3], [2, 4], [2, 6], [3, 4], [3, 5], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{12} + q^{11} t - 2 \, q^{9} t^{2} - 2 \, q^{9} t + q^{8} t^{2} - q^{7} t^{3} - 8 \, q^{8} t + 2 \, q^{6} t^{3} + 4 \, q^{7} t + 8 \, q^{6} t^{2} + 4 \, q^{5} t^{3} + 2 \, q^{6} t - 8 \, q^{4} t^{3} - q^{5} t + q^{4} t^{2} - 2 \, q^{3} t^{3} - 2 \, q^{3} t^{2} + q t^{3} + t^{4}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 6], [1, 5], [1, 6], [2, 3], [2, 4], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{13} t + q^{13} - 2 \, q^{12} t - 3 \, q^{11} t^{2} + 5 \, q^{11} t + 2 \, q^{10} t^{2} - 3 \, q^{9} t^{3} - 8 \, q^{10} t - q^{9} t^{2} + 12 \, q^{8} t^{3} + q^{7} t^{4} - 10 \, q^{9} t + q^{7} t^{3} + 10 \, q^{8} t + 22 \, q^{7} t^{2} - 22 \, q^{6} t^{3} - 10 \, q^{5} t^{4} - q^{6} t^{2} + 10 \, q^{4} t^{4} - q^{6} t - 12 \, q^{5} t^{2} + q^{4} t^{3} + 8 \, q^{3} t^{4} + 3 \, q^{4} t^{2} - 2 \, q^{3} t^{3} - 5 \, q^{2} t^{4} + 3 \, q^{2} t^{3} + 2 \, q t^{4} - t^{5} - t^{4}}{{\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [3, 4], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + q^{16} t + 3 \, q^{15} t - 3 \, q^{14} t^{2} - 11 \, q^{14} t - 2 \, q^{13} t^{2} - 3 \, q^{12} t^{3} - 4 \, q^{13} t - 3 \, q^{12} t^{2} + 16 \, q^{11} t^{3} + q^{10} t^{4} + 4 \, q^{12} t + 26 \, q^{11} t^{2} + 3 \, q^{10} t^{3} + 3 \, q^{9} t^{4} + 2 \, q^{11} t + 20 \, q^{10} t^{2} - 26 \, q^{9} t^{3} - 27 \, q^{8} t^{4} - q^{7} t^{5} - q^{10} t - 27 \, q^{9} t^{2} - 26 \, q^{8} t^{3} + 20 \, q^{7} t^{4} + 2 \, q^{6} t^{5} + 3 \, q^{8} t^{2} + 3 \, q^{7} t^{3} + 26 \, q^{6} t^{4} + 4 \, q^{5} t^{5} + q^{7} t^{2} + 16 \, q^{6} t^{3} - 3 \, q^{5} t^{4} - 4 \, q^{4} t^{5} - 3 \, q^{5} t^{3} - 2 \, q^{4} t^{4} - 11 \, q^{3} t^{5} - 3 \, q^{3} t^{4} + 3 \, q^{2} t^{5} + q t^{5} + t^{6}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 6], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [3, 4], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 2 \, q^{16} t - q^{15} t^{2} - 3 \, q^{15} t - 2 \, q^{14} t^{2} - q^{13} t^{3} + 2 \, q^{14} t + 2 \, q^{13} t^{2} + 2 \, q^{12} t^{3} - 18 \, q^{13} t - 10 \, q^{12} t^{2} + 16 \, q^{11} t^{3} + 2 \, q^{10} t^{4} + 12 \, q^{12} t + 37 \, q^{11} t^{2} - 20 \, q^{10} t^{3} - 5 \, q^{9} t^{4} - 2 \, q^{10} t^{2} - 7 \, q^{9} t^{3} - 6 \, q^{8} t^{4} - q^{7} t^{5} - q^{10} t - 6 \, q^{9} t^{2} - 7 \, q^{8} t^{3} - 2 \, q^{7} t^{4} - 5 \, q^{8} t^{2} - 20 \, q^{7} t^{3} + 37 \, q^{6} t^{4} + 12 \, q^{5} t^{5} + 2 \, q^{7} t^{2} + 16 \, q^{6} t^{3} - 10 \, q^{5} t^{4} - 18 \, q^{4} t^{5} + 2 \, q^{5} t^{3} + 2 \, q^{4} t^{4} + 2 \, q^{3} t^{5} - q^{4} t^{3} - 2 \, q^{3} t^{4} - 3 \, q^{2} t^{5} - q^{2} t^{4} + 2 \, q t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 6], [1, 5], [2, 3], [2, 4], [2, 5], [3, 4], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + q^{14} t - 2 \, q^{12} t^{2} - q^{12} t - q^{10} t^{3} - 12 \, q^{11} t - 2 \, q^{10} t^{2} + 2 \, q^{9} t^{3} + 6 \, q^{10} t + 8 \, q^{9} t^{2} + 13 \, q^{8} t^{3} + q^{7} t^{4} + 2 \, q^{9} t + 20 \, q^{8} t^{2} - 20 \, q^{7} t^{3} - 2 \, q^{6} t^{4} - q^{8} t - 13 \, q^{7} t^{2} - 8 \, q^{6} t^{3} - 6 \, q^{5} t^{4} - 2 \, q^{6} t^{2} + 2 \, q^{5} t^{3} + 12 \, q^{4} t^{4} + q^{5} t^{2} + q^{3} t^{4} + 2 \, q^{3} t^{3} - q t^{4} - t^{5}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 6], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [3, 4], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{23} + q^{22} t + 3 \, q^{21} t - 3 \, q^{20} t^{2} - 9 \, q^{20} t - 8 \, q^{19} t^{2} - q^{18} t^{3} - 14 \, q^{19} t - 9 \, q^{18} t^{2} + 20 \, q^{17} t^{3} + q^{16} t^{4} + 12 \, q^{18} t + 65 \, q^{17} t^{2} + 20 \, q^{16} t^{3} + q^{15} t^{4} + 6 \, q^{16} t^{2} - 41 \, q^{15} t^{3} - 44 \, q^{14} t^{4} - 3 \, q^{13} t^{5} - q^{16} t - 17 \, q^{15} t^{2} - 73 \, q^{14} t^{3} - 14 \, q^{13} t^{4} - 3 \, q^{12} t^{5} - 11 \, q^{14} t^{2} - 47 \, q^{13} t^{3} + 91 \, q^{12} t^{4} + 72 \, q^{11} t^{5} + 5 \, q^{10} t^{6} + 5 \, q^{13} t^{2} + 72 \, q^{12} t^{3} + 91 \, q^{11} t^{4} - 47 \, q^{10} t^{5} - 11 \, q^{9} t^{6} - 3 \, q^{11} t^{3} - 14 \, q^{10} t^{4} - 73 \, q^{9} t^{5} - 17 \, q^{8} t^{6} - q^{7} t^{7} - 3 \, q^{10} t^{3} - 44 \, q^{9} t^{4} - 41 \, q^{8} t^{5} + 6 \, q^{7} t^{6} + q^{8} t^{4} + 20 \, q^{7} t^{5} + 65 \, q^{6} t^{6} + 12 \, q^{5} t^{7} + q^{7} t^{4} + 20 \, q^{6} t^{5} - 9 \, q^{5} t^{6} - 14 \, q^{4} t^{7} - q^{5} t^{5} - 8 \, q^{4} t^{6} - 9 \, q^{3} t^{7} - 3 \, q^{3} t^{6} + 3 \, q^{2} t^{7} + q t^{7} + t^{8}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 6], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{19} t + q^{19} - 2 \, q^{18} t - 2 \, q^{17} t^{2} + 2 \, q^{17} t + 2 \, q^{16} t^{2} - q^{15} t^{3} - 6 \, q^{16} t - q^{15} t^{2} + 4 \, q^{14} t^{3} + 4 \, q^{15} t + 4 \, q^{14} t^{2} - 14 \, q^{14} t - 6 \, q^{13} t^{2} + 2 \, q^{12} t^{3} + 2 \, q^{11} t^{4} + 12 \, q^{13} t + 31 \, q^{12} t^{2} - 13 \, q^{11} t^{3} - 10 \, q^{10} t^{4} - 3 \, q^{12} t - 19 \, q^{11} t^{2} - 2 \, q^{10} t^{3} + 14 \, q^{9} t^{4} + 14 \, q^{10} t^{2} - 2 \, q^{9} t^{3} - 19 \, q^{8} t^{4} - 3 \, q^{7} t^{5} - 10 \, q^{9} t^{2} - 13 \, q^{8} t^{3} + 31 \, q^{7} t^{4} + 12 \, q^{6} t^{5} + 2 \, q^{8} t^{2} + 2 \, q^{7} t^{3} - 6 \, q^{6} t^{4} - 14 \, q^{5} t^{5} + 4 \, q^{5} t^{4} + 4 \, q^{4} t^{5} + 4 \, q^{5} t^{3} - q^{4} t^{4} - 6 \, q^{3} t^{5} - q^{4} t^{3} + 2 \, q^{3} t^{4} + 2 \, q^{2} t^{5} - 2 \, q^{2} t^{4} - 2 \, q t^{5} + t^{6} + t^{5}}{{\left(q^{4} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{11} t + q^{11} - 2 \, q^{10} t - 2 \, q^{9} t^{2} + 2 \, q^{9} t + 2 \, q^{8} t^{2} - q^{7} t^{3} - 6 \, q^{8} t + q^{7} t^{2} + 4 \, q^{6} t^{3} + 2 \, q^{7} t + 2 \, q^{6} t^{2} - 4 \, q^{5} t^{3} - 4 \, q^{6} t + 2 \, q^{5} t^{2} + 2 \, q^{4} t^{3} + 4 \, q^{5} t + q^{4} t^{2} - 6 \, q^{3} t^{3} - q^{4} t + 2 \, q^{3} t^{2} + 2 \, q^{2} t^{3} - 2 \, q^{2} t^{2} - 2 \, q t^{3} + t^{4} + t^{3}}{{\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + 2 \, q^{13} t - q^{12} t^{2} - 3 \, q^{12} t - 2 \, q^{11} t^{2} - q^{10} t^{3} - 3 \, q^{11} t + 4 \, q^{10} t^{2} + 5 \, q^{9} t^{3} - 2 \, q^{10} t - 3 \, q^{9} t^{2} - 2 \, q^{8} t^{3} + q^{7} t^{4} - 2 \, q^{9} t + 16 \, q^{8} t^{2} + 2 \, q^{7} t^{3} - 4 \, q^{6} t^{4} + 4 \, q^{8} t - 2 \, q^{7} t^{2} - 16 \, q^{6} t^{3} + 2 \, q^{5} t^{4} - q^{7} t + 2 \, q^{6} t^{2} + 3 \, q^{5} t^{3} + 2 \, q^{4} t^{4} - 5 \, q^{5} t^{2} - 4 \, q^{4} t^{3} + 3 \, q^{3} t^{4} + q^{4} t^{2} + 2 \, q^{3} t^{3} + 3 \, q^{2} t^{4} + q^{2} t^{3} - 2 \, q t^{4} - t^{5}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 6], [1, 5], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{11} + 2 \, q^{10} t - q^{9} t^{2} - 3 \, q^{9} t - 2 \, q^{8} t^{2} - q^{7} t^{3} - 4 \, q^{8} t + 6 \, q^{7} t^{2} + 4 \, q^{6} t^{3} + 2 \, q^{7} t - 4 \, q^{5} t^{3} - 4 \, q^{6} t + 2 \, q^{4} t^{3} + 4 \, q^{5} t + 6 \, q^{4} t^{2} - 4 \, q^{3} t^{3} - q^{4} t - 2 \, q^{3} t^{2} - 3 \, q^{2} t^{3} - q^{2} t^{2} + 2 \, q t^{3} + t^{4}}{{\left(q^{2} - t\right)} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 6], [1, 5], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + q^{17} t - 2 \, q^{15} t^{2} - 4 \, q^{15} t - q^{14} t^{2} - q^{13} t^{3} - 6 \, q^{14} t - 4 \, q^{13} t^{2} + 6 \, q^{12} t^{3} + 21 \, q^{12} t^{2} + 11 \, q^{11} t^{3} + 2 \, q^{10} t^{4} + 4 \, q^{12} t + 8 \, q^{11} t^{2} - 28 \, q^{10} t^{3} - 10 \, q^{9} t^{4} - q^{11} t + q^{10} t^{2} + 4 \, q^{9} t^{3} + q^{8} t^{4} - q^{7} t^{5} - 10 \, q^{9} t^{2} - 28 \, q^{8} t^{3} + 8 \, q^{7} t^{4} + 4 \, q^{6} t^{5} + 2 \, q^{8} t^{2} + 11 \, q^{7} t^{3} + 21 \, q^{6} t^{4} + 6 \, q^{6} t^{3} - 4 \, q^{5} t^{4} - 6 \, q^{4} t^{5} - q^{5} t^{3} - q^{4} t^{4} - 4 \, q^{3} t^{5} - 2 \, q^{3} t^{4} + q t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 6], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + q^{14} t - 2 \, q^{12} t^{2} - 5 \, q^{12} t - q^{10} t^{3} - 2 \, q^{11} t + 2 \, q^{10} t^{2} + 4 \, q^{9} t^{3} - 2 \, q^{10} t + 4 \, q^{9} t^{2} + 5 \, q^{8} t^{3} + q^{7} t^{4} + 4 \, q^{9} t + 14 \, q^{8} t^{2} - 14 \, q^{7} t^{3} - 4 \, q^{6} t^{4} - q^{8} t - 5 \, q^{7} t^{2} - 4 \, q^{6} t^{3} + 2 \, q^{5} t^{4} - 4 \, q^{6} t^{2} - 2 \, q^{5} t^{3} + 2 \, q^{4} t^{4} + q^{5} t^{2} + 5 \, q^{3} t^{4} + 2 \, q^{3} t^{3} - q t^{4} - t^{5}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 6], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + q^{15} t - 2 \, q^{13} t^{2} - 6 \, q^{13} t + q^{12} t^{2} - q^{11} t^{3} + 3 \, q^{12} t + 3 \, q^{11} t^{2} + 4 \, q^{10} t^{3} - 8 \, q^{11} t - 6 \, q^{10} t^{2} - 2 \, q^{9} t^{3} + 6 \, q^{10} t + 22 \, q^{9} t^{2} + 7 \, q^{8} t^{3} + q^{7} t^{4} - q^{9} t - 7 \, q^{8} t^{2} - 22 \, q^{7} t^{3} - 6 \, q^{6} t^{4} + 2 \, q^{7} t^{2} + 6 \, q^{6} t^{3} + 8 \, q^{5} t^{4} - 4 \, q^{6} t^{2} - 3 \, q^{5} t^{3} - 3 \, q^{4} t^{4} + q^{5} t^{2} - q^{4} t^{3} + 6 \, q^{3} t^{4} + 2 \, q^{3} t^{3} - q t^{4} - t^{5}}{{\left(q^{4} - t\right)} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 6], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{12} + q^{11} t - 2 \, q^{9} t^{2} - 6 \, q^{9} t + q^{8} t^{2} - q^{7} t^{3} + 2 \, q^{8} t + 4 \, q^{7} t^{2} + 4 \, q^{6} t^{3} - 4 \, q^{7} t - 4 \, q^{5} t^{3} + 4 \, q^{6} t + 4 \, q^{5} t^{2} + 2 \, q^{4} t^{3} - q^{5} t + q^{4} t^{2} - 6 \, q^{3} t^{3} - 2 \, q^{3} t^{2} + q t^{3} + t^{4}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 6], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 2 \, q^{16} t - q^{15} t^{2} - 3 \, q^{15} t - 2 \, q^{14} t^{2} - q^{13} t^{3} - 2 \, q^{14} t + 2 \, q^{13} t^{2} + 4 \, q^{12} t^{3} - 8 \, q^{13} t - 2 \, q^{12} t^{2} + 8 \, q^{11} t^{3} + 2 \, q^{10} t^{4} + 4 \, q^{12} t + 23 \, q^{11} t^{2} - 14 \, q^{10} t^{3} - 7 \, q^{9} t^{4} + 2 \, q^{11} t - 7 \, q^{9} t^{3} - q^{7} t^{5} - q^{10} t - 7 \, q^{8} t^{3} + 2 \, q^{6} t^{5} - 7 \, q^{8} t^{2} - 14 \, q^{7} t^{3} + 23 \, q^{6} t^{4} + 4 \, q^{5} t^{5} + 2 \, q^{7} t^{2} + 8 \, q^{6} t^{3} - 2 \, q^{5} t^{4} - 8 \, q^{4} t^{5} + 4 \, q^{5} t^{3} + 2 \, q^{4} t^{4} - 2 \, q^{3} t^{5} - q^{4} t^{3} - 2 \, q^{3} t^{4} - 3 \, q^{2} t^{5} - q^{2} t^{4} + 2 \, q t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 5], [1, 6], [2, 3], [2, 4], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{19} + 2 \, q^{18} t - q^{17} t^{2} - 4 \, q^{16} t^{2} - 2 \, q^{15} t^{3} - 8 \, q^{16} t - q^{15} t^{2} + 10 \, q^{14} t^{3} + q^{13} t^{4} - 10 \, q^{15} t - 4 \, q^{14} t^{2} + 12 \, q^{13} t^{3} + 4 \, q^{12} t^{4} + 10 \, q^{14} t + 53 \, q^{13} t^{2} - 10 \, q^{12} t^{3} - 29 \, q^{11} t^{4} - 2 \, q^{10} t^{5} - 6 \, q^{12} t^{2} - 38 \, q^{11} t^{3} + 4 \, q^{10} t^{4} - q^{12} t - 18 \, q^{11} t^{2} - 27 \, q^{10} t^{3} + 27 \, q^{9} t^{4} + 18 \, q^{8} t^{5} + q^{7} t^{6} - 4 \, q^{9} t^{3} + 38 \, q^{8} t^{4} + 6 \, q^{7} t^{5} + 2 \, q^{9} t^{2} + 29 \, q^{8} t^{3} + 10 \, q^{7} t^{4} - 53 \, q^{6} t^{5} - 10 \, q^{5} t^{6} - 4 \, q^{7} t^{3} - 12 \, q^{6} t^{4} + 4 \, q^{5} t^{5} + 10 \, q^{4} t^{6} - q^{6} t^{3} - 10 \, q^{5} t^{4} + q^{4} t^{5} + 8 \, q^{3} t^{6} + 2 \, q^{4} t^{4} + 4 \, q^{3} t^{5} + q^{2} t^{5} - 2 \, q t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 5], [1, 6], [2, 3], [2, 4], [2, 5], [3, 4], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{10} + 5 \, q^{9} t - q^{8} t^{2} - q^{7} t^{3} - 10 \, q^{8} t - 6 \, q^{7} t^{2} + 4 \, q^{6} t^{3} + 2 \, q^{7} t + 12 \, q^{6} t^{2} - 2 \, q^{5} t^{3} - 2 \, q^{6} t - 4 \, q^{5} t^{2} - 2 \, q^{4} t^{3} - 2 \, q^{5} t + 12 \, q^{4} t^{2} + 2 \, q^{3} t^{3} + 4 \, q^{4} t - 6 \, q^{3} t^{2} - 10 \, q^{2} t^{3} - q^{3} t - q^{2} t^{2} + 5 \, q t^{3} + t^{4}}{{\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 5], [1, 5], [2, 3], [2, 4], [2, 6], [3, 4], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{11} + 2 \, q^{10} t - q^{9} t^{2} - q^{9} t - 2 \, q^{8} t^{2} - q^{7} t^{3} - 6 \, q^{8} t + 2 \, q^{7} t^{2} + 4 \, q^{6} t^{3} + 4 \, q^{6} t^{2} - 2 \, q^{5} t^{3} - 2 \, q^{6} t + 4 \, q^{5} t^{2} + 4 \, q^{5} t + 2 \, q^{4} t^{2} - 6 \, q^{3} t^{3} - q^{4} t - 2 \, q^{3} t^{2} - q^{2} t^{3} - q^{2} t^{2} + 2 \, q t^{3} + t^{4}}{{\left(q^{2} - t\right)} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 5], [1, 5], [1, 6], [2, 3], [2, 4], [2, 6], [3, 4], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{12} + q^{11} t + 2 \, q^{10} t - 2 \, q^{9} t^{2} - 8 \, q^{9} t - q^{8} t^{2} - q^{7} t^{3} + 4 \, q^{7} t^{2} + 4 \, q^{6} t^{3} - 2 \, q^{7} t + 4 \, q^{6} t^{2} - 2 \, q^{5} t^{3} + 4 \, q^{6} t + 4 \, q^{5} t^{2} - q^{5} t - q^{4} t^{2} - 8 \, q^{3} t^{3} - 2 \, q^{3} t^{2} + 2 \, q^{2} t^{3} + q t^{3} + t^{4}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 5], [0, 6], [1, 5], [1, 6], [2, 3], [2, 4], [2, 6], [3, 4], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + q^{13} t + q^{12} t - 3 \, q^{11} t^{2} - 8 \, q^{11} t - q^{10} t^{2} - q^{9} t^{3} + 6 \, q^{9} t^{2} + 11 \, q^{8} t^{3} + q^{7} t^{4} - 2 \, q^{9} t + 8 \, q^{8} t^{2} - 10 \, q^{7} t^{3} - 4 \, q^{6} t^{4} + 4 \, q^{8} t + 10 \, q^{7} t^{2} - 8 \, q^{6} t^{3} + 2 \, q^{5} t^{4} - q^{7} t - 11 \, q^{6} t^{2} - 6 \, q^{5} t^{3} + q^{5} t^{2} + q^{4} t^{3} + 8 \, q^{3} t^{4} + 3 \, q^{3} t^{3} - q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 5], [1, 5], [1, 6], [2, 3], [2, 4], [2, 6], [3, 4], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + 8 \, q^{13} t - 18 \, q^{12} t - 2 \, q^{11} t^{2} + 4 \, q^{11} t - 24 \, q^{10} t^{2} - 2 \, q^{10} t + 58 \, q^{9} t^{2} + 6 \, q^{8} t^{3} + q^{7} t^{4} + 4 \, q^{9} t - 16 \, q^{8} t^{2} + 16 \, q^{7} t^{3} - 4 \, q^{6} t^{4} - q^{8} t - 6 \, q^{7} t^{2} - 58 \, q^{6} t^{3} + 2 \, q^{5} t^{4} + 24 \, q^{5} t^{3} - 4 \, q^{4} t^{4} + 2 \, q^{4} t^{3} + 18 \, q^{3} t^{4} - 8 \, q^{2} t^{4} - t^{5}}{{\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 5], [0, 6], [1, 5], [1, 6], [2, 3], [2, 4], [3, 4], [3, 6], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + 5 \, q^{14} t - 9 \, q^{13} t - q^{12} t^{2} - 4 \, q^{12} t - 11 \, q^{11} t^{2} - q^{10} t^{3} + 12 \, q^{10} t^{2} + 3 \, q^{9} t^{3} + 4 \, q^{10} t + 28 \, q^{9} t^{2} + 16 \, q^{8} t^{3} + q^{7} t^{4} - q^{9} t - 16 \, q^{8} t^{2} - 28 \, q^{7} t^{3} - 4 \, q^{6} t^{4} - 3 \, q^{7} t^{2} - 12 \, q^{6} t^{3} + q^{6} t^{2} + 11 \, q^{5} t^{3} + 4 \, q^{4} t^{4} + q^{4} t^{3} + 9 \, q^{3} t^{4} - 5 \, q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 5], [0, 6], [1, 5], [1, 6], [2, 3], [2, 4], [2, 6], [3, 4], [3, 6], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{13} + 5 \, q^{11} t - 10 \, q^{10} t - q^{9} t^{2} - 6 \, q^{8} t^{2} - q^{7} t^{3} - 2 \, q^{8} t + 10 \, q^{7} t^{2} + 4 \, q^{6} t^{3} + 4 \, q^{7} t + 10 \, q^{6} t^{2} - 2 \, q^{5} t^{3} - q^{6} t - 6 \, q^{5} t^{2} - q^{4} t^{2} - 10 \, q^{3} t^{3} + 5 \, q^{2} t^{3} + t^{4}}{{\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 5], [0, 6], [1, 5], [1, 6], [2, 3], [2, 4], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{22} + 4 \, q^{20} t - 5 \, q^{19} t + q^{18} t^{2} - 4 \, q^{18} t - 4 \, q^{17} t^{2} - 10 \, q^{17} t - 28 \, q^{16} t^{2} - q^{15} t^{3} + 12 \, q^{16} t + 66 \, q^{15} t^{2} + 6 \, q^{14} t^{3} - 3 \, q^{15} t - 19 \, q^{14} t^{2} - 2 \, q^{13} t^{3} + 8 \, q^{13} t^{2} + 38 \, q^{12} t^{3} + 2 \, q^{11} t^{4} - 11 \, q^{12} t^{2} - 102 \, q^{11} t^{3} - 11 \, q^{10} t^{4} + 2 \, q^{11} t^{2} + 38 \, q^{10} t^{3} + 8 \, q^{9} t^{4} - 2 \, q^{9} t^{3} - 19 \, q^{8} t^{4} - 3 \, q^{7} t^{5} + 6 \, q^{8} t^{3} + 66 \, q^{7} t^{4} + 12 \, q^{6} t^{5} - q^{7} t^{3} - 28 \, q^{6} t^{4} - 10 \, q^{5} t^{5} - 4 \, q^{5} t^{4} - 4 \, q^{4} t^{5} + q^{4} t^{4} - 5 \, q^{3} t^{5} + 4 \, q^{2} t^{5} + t^{6}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 5], [0, 6], [1, 5], [1, 6], [2, 3], [2, 4], [2, 6], [3, 4], [3, 5], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + 4 \, q^{12} t - 5 \, q^{11} t + q^{10} t^{2} - 6 \, q^{10} t - 4 \, q^{9} t^{2} - 12 \, q^{8} t^{2} - q^{7} t^{3} + 4 \, q^{8} t + 36 \, q^{7} t^{2} + 4 \, q^{6} t^{3} - q^{7} t - 12 \, q^{6} t^{2} - 4 \, q^{5} t^{2} - 6 \, q^{4} t^{3} + q^{4} t^{2} - 5 \, q^{3} t^{3} + 4 \, q^{2} t^{3} + t^{4}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 5], [0, 6], [1, 5], [1, 6], [2, 3], [2, 4], [2, 6], [3, 4], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + 4 \, q^{12} t - 7 \, q^{11} t + q^{10} t^{2} - 6 \, q^{9} t^{2} - 6 \, q^{9} t - 4 \, q^{8} t^{2} - q^{7} t^{3} + 6 \, q^{8} t + 24 \, q^{7} t^{2} + 6 \, q^{6} t^{3} - q^{7} t - 4 \, q^{6} t^{2} - 6 \, q^{5} t^{3} - 6 \, q^{5} t^{2} + q^{4} t^{2} - 7 \, q^{3} t^{3} + 4 \, q^{2} t^{3} + t^{4}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 5], [0, 6], [1, 5], [1, 6], [2, 3], [2, 4], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + 4 \, q^{12} t - 7 \, q^{11} t + q^{10} t^{2} - 2 \, q^{10} t - 6 \, q^{9} t^{2} - 2 \, q^{9} t - q^{7} t^{3} + 4 \, q^{8} t + 16 \, q^{7} t^{2} + 4 \, q^{6} t^{3} - q^{7} t - 2 \, q^{5} t^{3} - 6 \, q^{5} t^{2} - 2 \, q^{4} t^{3} + q^{4} t^{2} - 7 \, q^{3} t^{3} + 4 \, q^{2} t^{3} + t^{4}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 5], [0, 6], [1, 5], [1, 6], [2, 3], [2, 4], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + 5 \, q^{18} t - 7 \, q^{17} t - q^{16} t^{2} - 7 \, q^{16} t - 15 \, q^{15} t^{2} - q^{14} t^{3} - 4 \, q^{15} t + 9 \, q^{14} t^{2} + 5 \, q^{13} t^{3} + 10 \, q^{14} t + 49 \, q^{13} t^{2} + 19 \, q^{12} t^{3} + q^{11} t^{4} - 3 \, q^{13} t - 28 \, q^{12} t^{2} - 31 \, q^{11} t^{3} - 5 \, q^{10} t^{4} + 5 \, q^{11} t^{2} - 4 \, q^{10} t^{3} + 5 \, q^{9} t^{4} - 5 \, q^{10} t^{2} - 31 \, q^{9} t^{3} - 28 \, q^{8} t^{4} - 3 \, q^{7} t^{5} + q^{9} t^{2} + 19 \, q^{8} t^{3} + 49 \, q^{7} t^{4} + 10 \, q^{6} t^{5} + 5 \, q^{7} t^{3} + 9 \, q^{6} t^{4} - 4 \, q^{5} t^{5} - q^{6} t^{3} - 15 \, q^{5} t^{4} - 7 \, q^{4} t^{5} - q^{4} t^{4} - 7 \, q^{3} t^{5} + 5 \, q^{2} t^{5} + t^{6}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 5], [0, 6], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [3, 4], [3, 6], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + 4 \, q^{14} t - 8 \, q^{13} t + q^{12} t^{2} + 2 \, q^{12} t - 4 \, q^{11} t^{2} - 3 \, q^{11} t + 4 \, q^{10} t^{2} - 10 \, q^{9} t^{2} + q^{9} t + 24 \, q^{8} t^{2} + q^{7} t^{3} - 10 \, q^{7} t^{2} + 4 \, q^{6} t^{2} - 3 \, q^{5} t^{3} - 4 \, q^{5} t^{2} + 2 \, q^{4} t^{3} + q^{4} t^{2} - 8 \, q^{3} t^{3} + 4 \, q^{2} t^{3} + t^{4}}{{\left(q^{5} - t\right)} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 5], [0, 6], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{11} + 4 \, q^{9} t - 8 \, q^{8} t + q^{7} t^{2} + 2 \, q^{7} t - 4 \, q^{6} t^{2} - 4 \, q^{6} t + 4 \, q^{5} t^{2} + 4 \, q^{5} t - 2 \, q^{4} t^{2} - q^{4} t + 8 \, q^{3} t^{2} - 4 \, q^{2} t^{2} - t^{3}}{{\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 5], [0, 6], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + 7 \, q^{17} t - 8 \, q^{16} t^{2} + 3 \, q^{14} t^{4} - q^{13} t^{5} - 7 \, q^{16} t - 43 \, q^{15} t^{2} + 26 \, q^{14} t^{3} + 24 \, q^{13} t^{4} - 23 \, q^{12} t^{5} + 5 \, q^{11} t^{6} - 30 \, q^{15} t + 85 \, q^{14} t^{2} + 141 \, q^{13} t^{3} - 152 \, q^{12} t^{4} + 18 \, q^{11} t^{5} + 11 \, q^{10} t^{6} - q^{9} t^{7} + 22 \, q^{14} t + 70 \, q^{13} t^{2} - 291 \, q^{12} t^{3} - 143 \, q^{11} t^{4} + 194 \, q^{10} t^{5} - 6 \, q^{9} t^{6} - 13 \, q^{8} t^{7} - q^{7} t^{8} + 4 \, q^{13} t - 60 \, q^{12} t^{2} - 144 \, q^{11} t^{3} + 600 \, q^{10} t^{4} + 18 \, q^{9} t^{5} - 194 \, q^{8} t^{6} + 22 \, q^{7} t^{7} + 6 \, q^{6} t^{8} - 6 \, q^{12} t - 22 \, q^{11} t^{2} + 194 \, q^{10} t^{3} - 18 \, q^{9} t^{4} - 600 \, q^{8} t^{5} + 144 \, q^{7} t^{6} + 60 \, q^{6} t^{7} - 4 \, q^{5} t^{8} + q^{11} t + 13 \, q^{10} t^{2} + 6 \, q^{9} t^{3} - 194 \, q^{8} t^{4} + 143 \, q^{7} t^{5} + 291 \, q^{6} t^{6} - 70 \, q^{5} t^{7} - 22 \, q^{4} t^{8} + q^{9} t^{2} - 11 \, q^{8} t^{3} - 18 \, q^{7} t^{4} + 152 \, q^{6} t^{5} - 141 \, q^{5} t^{6} - 85 \, q^{4} t^{7} + 30 \, q^{3} t^{8} - 5 \, q^{7} t^{3} + 23 \, q^{6} t^{4} - 24 \, q^{5} t^{5} - 26 \, q^{4} t^{6} + 43 \, q^{3} t^{7} + 7 \, q^{2} t^{8} + q^{5} t^{4} - 3 \, q^{4} t^{5} + 8 \, q^{2} t^{7} - 7 \, q t^{8} - t^{9}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{5} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 6 edges: | [[0, 6], [1, 4], [2, 3], [3, 6], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{21} t + q^{21} - 2 \, q^{20} t - 4 \, q^{19} t^{2} + 16 \, q^{19} t - 4 \, q^{18} t^{2} - 20 \, q^{17} t^{3} - 36 \, q^{18} t + 20 \, q^{17} t^{2} + 92 \, q^{16} t^{3} - 4 \, q^{17} t - 108 \, q^{16} t^{2} - 71 \, q^{15} t^{3} + 86 \, q^{14} t^{4} - q^{13} t^{5} + 32 \, q^{16} t + 281 \, q^{15} t^{2} - 80 \, q^{14} t^{3} - 373 \, q^{13} t^{4} - 6 \, q^{12} t^{5} - 18 \, q^{15} t - 193 \, q^{14} t^{2} + 290 \, q^{13} t^{3} + 458 \, q^{12} t^{4} - 76 \, q^{11} t^{5} + 2 \, q^{10} t^{6} + 3 \, q^{14} t + 34 \, q^{13} t^{2} - 606 \, q^{12} t^{3} - 136 \, q^{11} t^{4} + 422 \, q^{10} t^{5} + 422 \, q^{11} t^{3} - 136 \, q^{10} t^{4} - 606 \, q^{9} t^{5} + 34 \, q^{8} t^{6} + 3 \, q^{7} t^{7} + 2 \, q^{11} t^{2} - 76 \, q^{10} t^{3} + 458 \, q^{9} t^{4} + 290 \, q^{8} t^{5} - 193 \, q^{7} t^{6} - 18 \, q^{6} t^{7} - 6 \, q^{9} t^{3} - 373 \, q^{8} t^{4} - 80 \, q^{7} t^{5} + 281 \, q^{6} t^{6} + 32 \, q^{5} t^{7} - q^{8} t^{3} + 86 \, q^{7} t^{4} - 71 \, q^{6} t^{5} - 108 \, q^{5} t^{6} - 4 \, q^{4} t^{7} + 92 \, q^{5} t^{5} + 20 \, q^{4} t^{6} - 36 \, q^{3} t^{7} - 20 \, q^{4} t^{5} - 4 \, q^{3} t^{6} + 16 \, q^{2} t^{7} - 4 \, q^{2} t^{6} - 2 \, q t^{7} + t^{8} + t^{7}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[1, 4], [1, 6], [2, 3], [2, 6], [3, 5], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + 5 \, q^{14} t - q^{13} t^{2} - q^{12} t^{3} + q^{13} t - 7 \, q^{12} t^{2} - 3 \, q^{11} t^{3} + q^{10} t^{4} - 25 \, q^{12} t - 15 \, q^{11} t^{2} + 15 \, q^{10} t^{3} + 5 \, q^{9} t^{4} + 6 \, q^{11} t + 49 \, q^{10} t^{2} + 27 \, q^{9} t^{3} - 15 \, q^{8} t^{4} + q^{7} t^{5} + 14 \, q^{10} t + 8 \, q^{9} t^{2} - 48 \, q^{8} t^{3} - 10 \, q^{7} t^{4} - 8 \, q^{6} t^{5} - 8 \, q^{9} t - 10 \, q^{8} t^{2} - 48 \, q^{7} t^{3} + 8 \, q^{6} t^{4} + 14 \, q^{5} t^{5} + q^{8} t - 15 \, q^{7} t^{2} + 27 \, q^{6} t^{3} + 49 \, q^{5} t^{4} + 6 \, q^{4} t^{5} + 5 \, q^{6} t^{2} + 15 \, q^{5} t^{3} - 15 \, q^{4} t^{4} - 25 \, q^{3} t^{5} + q^{5} t^{2} - 3 \, q^{4} t^{3} - 7 \, q^{3} t^{4} + q^{2} t^{5} - q^{3} t^{3} - q^{2} t^{4} + 5 \, q t^{5} + t^{6}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[0, 6], [1, 4], [2, 3], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + 4 \, q^{13} t + q^{12} t^{2} + 3 \, q^{12} t - q^{10} t^{3} - 21 \, q^{11} t - 22 \, q^{10} t^{2} - 5 \, q^{9} t^{3} + 15 \, q^{9} t^{2} + 18 \, q^{8} t^{3} - q^{7} t^{4} + 16 \, q^{9} t + 40 \, q^{8} t^{2} + 12 \, q^{7} t^{3} + 8 \, q^{6} t^{4} - 8 \, q^{8} t - 12 \, q^{7} t^{2} - 40 \, q^{6} t^{3} - 16 \, q^{5} t^{4} + q^{7} t - 18 \, q^{6} t^{2} - 15 \, q^{5} t^{3} + 5 \, q^{5} t^{2} + 22 \, q^{4} t^{3} + 21 \, q^{3} t^{4} + q^{4} t^{2} - 3 \, q^{2} t^{4} - q^{2} t^{3} - 4 \, q t^{4} - t^{5}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 6], [1, 4], [2, 3], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{22} + q^{21} t + 10 \, q^{20} t - 4 \, q^{19} t^{2} - 26 \, q^{19} t - 4 \, q^{18} t^{2} - 16 \, q^{17} t^{3} - 8 \, q^{18} t - 64 \, q^{17} t^{2} + 88 \, q^{16} t^{3} + 4 \, q^{15} t^{4} + 24 \, q^{17} t + 213 \, q^{16} t^{2} - 87 \, q^{15} t^{3} + 41 \, q^{14} t^{4} - q^{13} t^{5} - 10 \, q^{16} t - 120 \, q^{15} t^{2} + 130 \, q^{14} t^{3} - 252 \, q^{13} t^{4} - 10 \, q^{12} t^{5} + q^{15} t + q^{14} t^{2} - 416 \, q^{13} t^{3} + 290 \, q^{12} t^{4} - 24 \, q^{11} t^{5} + 2 \, q^{10} t^{6} + 4 \, q^{13} t^{2} + 280 \, q^{12} t^{3} - 96 \, q^{11} t^{4} + 280 \, q^{10} t^{5} + 4 \, q^{9} t^{6} + 2 \, q^{12} t^{2} - 24 \, q^{11} t^{3} + 290 \, q^{10} t^{4} - 416 \, q^{9} t^{5} + q^{8} t^{6} + q^{7} t^{7} - 10 \, q^{10} t^{3} - 252 \, q^{9} t^{4} + 130 \, q^{8} t^{5} - 120 \, q^{7} t^{6} - 10 \, q^{6} t^{7} - q^{9} t^{3} + 41 \, q^{8} t^{4} - 87 \, q^{7} t^{5} + 213 \, q^{6} t^{6} + 24 \, q^{5} t^{7} + 4 \, q^{7} t^{4} + 88 \, q^{6} t^{5} - 64 \, q^{5} t^{6} - 8 \, q^{4} t^{7} - 16 \, q^{5} t^{5} - 4 \, q^{4} t^{6} - 26 \, q^{3} t^{7} - 4 \, q^{3} t^{6} + 10 \, q^{2} t^{7} + q t^{7} + t^{8}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{4} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 6], [1, 4], [1, 6], [2, 3], [2, 6], [3, 5], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{21} + 2 \, q^{20} t - q^{19} t^{2} + 5 \, q^{19} t - 6 \, q^{18} t^{2} - 5 \, q^{17} t^{3} - 20 \, q^{18} t - 7 \, q^{17} t^{2} + 24 \, q^{16} t^{3} + 3 \, q^{15} t^{4} - 10 \, q^{17} t - 12 \, q^{16} t^{2} + 9 \, q^{15} t^{3} + 14 \, q^{14} t^{4} - q^{13} t^{5} + 24 \, q^{16} t + 133 \, q^{15} t^{2} + 10 \, q^{14} t^{3} - 89 \, q^{13} t^{4} - 8 \, q^{12} t^{5} - 10 \, q^{15} t - 82 \, q^{14} t^{2} - 87 \, q^{13} t^{3} + 18 \, q^{12} t^{4} - 3 \, q^{11} t^{5} + 2 \, q^{10} t^{6} + q^{14} t - 2 \, q^{13} t^{2} - 123 \, q^{12} t^{3} + 89 \, q^{11} t^{4} + 128 \, q^{10} t^{5} + 3 \, q^{9} t^{6} + 3 \, q^{12} t^{2} + 128 \, q^{11} t^{3} + 89 \, q^{10} t^{4} - 123 \, q^{9} t^{5} - 2 \, q^{8} t^{6} + q^{7} t^{7} + 2 \, q^{11} t^{2} - 3 \, q^{10} t^{3} + 18 \, q^{9} t^{4} - 87 \, q^{8} t^{5} - 82 \, q^{7} t^{6} - 10 \, q^{6} t^{7} - 8 \, q^{9} t^{3} - 89 \, q^{8} t^{4} + 10 \, q^{7} t^{5} + 133 \, q^{6} t^{6} + 24 \, q^{5} t^{7} - q^{8} t^{3} + 14 \, q^{7} t^{4} + 9 \, q^{6} t^{5} - 12 \, q^{5} t^{6} - 10 \, q^{4} t^{7} + 3 \, q^{6} t^{4} + 24 \, q^{5} t^{5} - 7 \, q^{4} t^{6} - 20 \, q^{3} t^{7} - 5 \, q^{4} t^{5} - 6 \, q^{3} t^{6} + 5 \, q^{2} t^{7} - q^{2} t^{6} + 2 \, q t^{7} + t^{8}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 6], [1, 4], [2, 3], [2, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{9} t - 2 \, q^{8} t^{2} - q^{7} t^{3} + q^{9} + q^{7} t^{2} + 2 \, q^{6} t^{3} - 2 \, q^{7} t + 2 \, q^{5} t^{3} - 4 \, q^{6} t + 4 \, q^{5} t^{2} - 2 \, q^{4} t^{3} - 2 \, q^{5} t + 4 \, q^{4} t^{2} - 4 \, q^{3} t^{3} + 2 \, q^{4} t - 2 \, q^{2} t^{3} + 2 \, q^{3} t + q^{2} t^{2} + t^{4} - q^{2} t - 2 \, q t^{2} + t^{3}}{{\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[1, 4], [2, 3], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{13} t + q^{13} - 2 \, q^{12} t - 3 \, q^{11} t^{2} + 5 \, q^{11} t + 2 \, q^{10} t^{2} - 3 \, q^{9} t^{3} - 12 \, q^{10} t + q^{9} t^{2} + 14 \, q^{8} t^{3} + q^{7} t^{4} + 2 \, q^{8} t^{2} - 9 \, q^{7} t^{3} - 2 \, q^{6} t^{4} + 2 \, q^{8} t + 10 \, q^{7} t^{2} - 10 \, q^{6} t^{3} - 2 \, q^{5} t^{4} + 2 \, q^{7} t + 9 \, q^{6} t^{2} - 2 \, q^{5} t^{3} - q^{6} t - 14 \, q^{5} t^{2} - q^{4} t^{3} + 12 \, q^{3} t^{4} + 3 \, q^{4} t^{2} - 2 \, q^{3} t^{3} - 5 \, q^{2} t^{4} + 3 \, q^{2} t^{3} + 2 \, q t^{4} - t^{5} - t^{4}}{{\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[1, 4], [1, 6], [2, 3], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + q^{13} t + 3 \, q^{12} t - 3 \, q^{11} t^{2} - 12 \, q^{11} t - q^{10} t^{2} - 3 \, q^{9} t^{3} + 4 \, q^{9} t^{2} + 15 \, q^{8} t^{3} + q^{7} t^{4} + 2 \, q^{9} t + 12 \, q^{8} t^{2} - 10 \, q^{7} t^{3} - 2 \, q^{6} t^{4} + 2 \, q^{8} t + 10 \, q^{7} t^{2} - 12 \, q^{6} t^{3} - 2 \, q^{5} t^{4} - q^{7} t - 15 \, q^{6} t^{2} - 4 \, q^{5} t^{3} + 3 \, q^{5} t^{2} + q^{4} t^{3} + 12 \, q^{3} t^{4} + 3 \, q^{3} t^{3} - 3 \, q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 6], [1, 4], [1, 6], [2, 3], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{15} t - 2 \, q^{14} t^{2} - q^{13} t^{3} + q^{15} - 2 \, q^{13} t^{2} + 2 \, q^{12} t^{3} + 3 \, q^{11} t^{4} + 7 \, q^{13} t - 12 \, q^{12} t^{2} + 18 \, q^{11} t^{3} + 10 \, q^{10} t^{4} - 5 \, q^{9} t^{5} - 34 \, q^{12} t + 25 \, q^{11} t^{2} + 2 \, q^{10} t^{3} - 68 \, q^{9} t^{4} + 4 \, q^{8} t^{5} - q^{7} t^{6} + 18 \, q^{11} t + 22 \, q^{10} t^{2} - 29 \, q^{9} t^{3} + 42 \, q^{8} t^{4} + 25 \, q^{7} t^{5} + 6 \, q^{6} t^{6} + 6 \, q^{10} t + 14 \, q^{9} t^{2} - 40 \, q^{8} t^{3} + 40 \, q^{7} t^{4} - 14 \, q^{6} t^{5} - 6 \, q^{5} t^{6} - 6 \, q^{9} t - 25 \, q^{8} t^{2} - 42 \, q^{7} t^{3} + 29 \, q^{6} t^{4} - 22 \, q^{5} t^{5} - 18 \, q^{4} t^{6} + q^{8} t - 4 \, q^{7} t^{2} + 68 \, q^{6} t^{3} - 2 \, q^{5} t^{4} - 25 \, q^{4} t^{5} + 34 \, q^{3} t^{6} + 5 \, q^{6} t^{2} - 10 \, q^{5} t^{3} - 18 \, q^{4} t^{4} + 12 \, q^{3} t^{5} - 7 \, q^{2} t^{6} - 3 \, q^{4} t^{3} - 2 \, q^{3} t^{4} + 2 \, q^{2} t^{5} - t^{7} + q^{2} t^{4} + 2 \, q t^{5} - t^{6}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[1, 4], [1, 5], [2, 3], [2, 6], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + 4 \, q^{14} t + q^{13} t^{2} + 3 \, q^{13} t - 8 \, q^{12} t^{2} - 3 \, q^{11} t^{3} - 28 \, q^{12} t - 21 \, q^{11} t^{2} - 6 \, q^{10} t^{3} + 5 \, q^{9} t^{4} + 12 \, q^{11} t + 52 \, q^{10} t^{2} + 77 \, q^{9} t^{3} - 4 \, q^{8} t^{4} + q^{7} t^{5} + 8 \, q^{10} t + 22 \, q^{9} t^{2} - 78 \, q^{8} t^{3} - 32 \, q^{7} t^{4} - 6 \, q^{6} t^{5} - 6 \, q^{9} t - 32 \, q^{8} t^{2} - 78 \, q^{7} t^{3} + 22 \, q^{6} t^{4} + 8 \, q^{5} t^{5} + q^{8} t - 4 \, q^{7} t^{2} + 77 \, q^{6} t^{3} + 52 \, q^{5} t^{4} + 12 \, q^{4} t^{5} + 5 \, q^{6} t^{2} - 6 \, q^{5} t^{3} - 21 \, q^{4} t^{4} - 28 \, q^{3} t^{5} - 3 \, q^{4} t^{3} - 8 \, q^{3} t^{4} + 3 \, q^{2} t^{5} + q^{2} t^{4} + 4 \, q t^{5} + t^{6}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 6], [1, 4], [1, 5], [2, 3], [2, 6], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{15} t + q^{15} - 2 \, q^{14} t - 4 \, q^{13} t^{2} + 8 \, q^{13} t + 2 \, q^{12} t^{2} - 6 \, q^{11} t^{3} - 22 \, q^{12} t + 2 \, q^{11} t^{2} + 36 \, q^{10} t^{3} + 4 \, q^{9} t^{4} + 8 \, q^{11} t - 8 \, q^{10} t^{2} - 40 \, q^{9} t^{3} - 8 \, q^{8} t^{4} - q^{7} t^{5} + 52 \, q^{9} t^{2} - 25 \, q^{7} t^{4} + 2 \, q^{6} t^{5} + 2 \, q^{9} t - 25 \, q^{8} t^{2} + 52 \, q^{6} t^{4} - q^{8} t - 8 \, q^{7} t^{2} - 40 \, q^{6} t^{3} - 8 \, q^{5} t^{4} + 8 \, q^{4} t^{5} + 4 \, q^{6} t^{2} + 36 \, q^{5} t^{3} + 2 \, q^{4} t^{4} - 22 \, q^{3} t^{5} - 6 \, q^{4} t^{3} + 2 \, q^{3} t^{4} + 8 \, q^{2} t^{5} - 4 \, q^{2} t^{4} - 2 \, q t^{5} + t^{6} + t^{5}}{{\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[1, 4], [1, 5], [2, 3], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{19} t + q^{19} - 2 \, q^{18} t - 2 \, q^{17} t^{2} + 2 \, q^{17} t + 2 \, q^{16} t^{2} - q^{15} t^{3} - 2 \, q^{16} t - 3 \, q^{15} t^{2} + 2 \, q^{14} t^{3} - 6 \, q^{15} t + 6 \, q^{14} t^{2} + 8 \, q^{13} t^{3} - 6 \, q^{14} t - 4 \, q^{13} t^{2} - 8 \, q^{12} t^{3} + 2 \, q^{11} t^{4} + 10 \, q^{13} t + 21 \, q^{12} t^{2} - 5 \, q^{11} t^{3} - 6 \, q^{10} t^{4} - 3 \, q^{12} t + q^{11} t^{2} - 6 \, q^{10} t^{3} - 2 \, q^{9} t^{4} - 2 \, q^{10} t^{2} - 6 \, q^{9} t^{3} + q^{8} t^{4} - 3 \, q^{7} t^{5} - 6 \, q^{9} t^{2} - 5 \, q^{8} t^{3} + 21 \, q^{7} t^{4} + 10 \, q^{6} t^{5} + 2 \, q^{8} t^{2} - 8 \, q^{7} t^{3} - 4 \, q^{6} t^{4} - 6 \, q^{5} t^{5} + 8 \, q^{6} t^{3} + 6 \, q^{5} t^{4} - 6 \, q^{4} t^{5} + 2 \, q^{5} t^{3} - 3 \, q^{4} t^{4} - 2 \, q^{3} t^{5} - q^{4} t^{3} + 2 \, q^{3} t^{4} + 2 \, q^{2} t^{5} - 2 \, q^{2} t^{4} - 2 \, q t^{5} + t^{6} + t^{5}}{{\left(q^{4} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[1, 4], [1, 5], [1, 6], [2, 3], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{11} t + q^{11} - 2 \, q^{10} t - 2 \, q^{9} t^{2} + 2 \, q^{9} t + 2 \, q^{8} t^{2} - q^{7} t^{3} - 2 \, q^{8} t - q^{7} t^{2} + 2 \, q^{6} t^{3} - 8 \, q^{7} t + 4 \, q^{6} t^{2} + 4 \, q^{5} t^{3} + 4 \, q^{6} t + 4 \, q^{5} t^{2} - 8 \, q^{4} t^{3} + 2 \, q^{5} t - q^{4} t^{2} - 2 \, q^{3} t^{3} - q^{4} t + 2 \, q^{3} t^{2} + 2 \, q^{2} t^{3} - 2 \, q^{2} t^{2} - 2 \, q t^{3} + t^{4} + t^{3}}{{\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[1, 4], [1, 5], [1, 6], [2, 3], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + q^{13} t + q^{12} t - 3 \, q^{11} t^{2} - 4 \, q^{11} t - q^{10} t^{2} - q^{9} t^{3} - 10 \, q^{10} t - 2 \, q^{9} t^{2} + 9 \, q^{8} t^{3} + q^{7} t^{4} + 6 \, q^{9} t + 26 \, q^{8} t^{2} + 2 \, q^{7} t^{3} - 2 \, q^{6} t^{4} + 2 \, q^{8} t - 2 \, q^{7} t^{2} - 26 \, q^{6} t^{3} - 6 \, q^{5} t^{4} - q^{7} t - 9 \, q^{6} t^{2} + 2 \, q^{5} t^{3} + 10 \, q^{4} t^{4} + q^{5} t^{2} + q^{4} t^{3} + 4 \, q^{3} t^{4} + 3 \, q^{3} t^{3} - q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 6], [1, 4], [1, 5], [2, 3], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + q^{13} t + q^{12} t - 3 \, q^{11} t^{2} - 6 \, q^{11} t - q^{10} t^{2} - q^{9} t^{3} - 6 \, q^{10} t + 4 \, q^{9} t^{2} + 9 \, q^{8} t^{3} + q^{7} t^{4} + 4 \, q^{9} t + 14 \, q^{8} t^{2} - 4 \, q^{7} t^{3} - 2 \, q^{6} t^{4} + 2 \, q^{8} t + 4 \, q^{7} t^{2} - 14 \, q^{6} t^{3} - 4 \, q^{5} t^{4} - q^{7} t - 9 \, q^{6} t^{2} - 4 \, q^{5} t^{3} + 6 \, q^{4} t^{4} + q^{5} t^{2} + q^{4} t^{3} + 6 \, q^{3} t^{4} + 3 \, q^{3} t^{3} - q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 6], [1, 4], [1, 5], [2, 3], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + q^{15} t - 2 \, q^{13} t^{2} - 2 \, q^{13} t + q^{12} t^{2} - q^{11} t^{3} - 7 \, q^{12} t - q^{11} t^{2} + 2 \, q^{10} t^{3} + 2 \, q^{10} t^{2} + 6 \, q^{9} t^{3} + 4 \, q^{10} t + 14 \, q^{9} t^{2} - 3 \, q^{8} t^{3} + q^{7} t^{4} - q^{9} t + 3 \, q^{8} t^{2} - 14 \, q^{7} t^{3} - 4 \, q^{6} t^{4} - 6 \, q^{7} t^{2} - 2 \, q^{6} t^{3} - 2 \, q^{6} t^{2} + q^{5} t^{3} + 7 \, q^{4} t^{4} + q^{5} t^{2} - q^{4} t^{3} + 2 \, q^{3} t^{4} + 2 \, q^{3} t^{3} - q t^{4} - t^{5}}{{\left(q^{4} - t\right)} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 6], [1, 4], [1, 5], [1, 6], [2, 3], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{12} + q^{11} t - 2 \, q^{9} t^{2} - 2 \, q^{9} t + q^{8} t^{2} - q^{7} t^{3} - 8 \, q^{8} t + 2 \, q^{6} t^{3} + 4 \, q^{7} t + 8 \, q^{6} t^{2} + 4 \, q^{5} t^{3} + 2 \, q^{6} t - 8 \, q^{4} t^{3} - q^{5} t + q^{4} t^{2} - 2 \, q^{3} t^{3} - 2 \, q^{3} t^{2} + q t^{3} + t^{4}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 6], [1, 4], [1, 5], [1, 6], [2, 3], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + 8 \, q^{15} t - 4 \, q^{13} t^{3} + q^{12} t^{4} - 7 \, q^{14} t - 32 \, q^{13} t^{2} + 6 \, q^{12} t^{3} + 4 \, q^{11} t^{4} - q^{10} t^{5} - 23 \, q^{13} t + 20 \, q^{12} t^{2} + 48 \, q^{11} t^{3} + 8 \, q^{10} t^{4} - 5 \, q^{9} t^{5} + 10 \, q^{12} t + 85 \, q^{11} t^{2} - 20 \, q^{10} t^{3} - 88 \, q^{9} t^{4} + 14 \, q^{8} t^{5} - q^{7} t^{6} + 12 \, q^{11} t - 52 \, q^{10} t^{2} - 92 \, q^{9} t^{3} + 48 \, q^{8} t^{4} - 8 \, q^{7} t^{5} + 8 \, q^{6} t^{6} - 8 \, q^{10} t + 8 \, q^{9} t^{2} - 48 \, q^{8} t^{3} + 92 \, q^{7} t^{4} + 52 \, q^{6} t^{5} - 12 \, q^{5} t^{6} + q^{9} t - 14 \, q^{8} t^{2} + 88 \, q^{7} t^{3} + 20 \, q^{6} t^{4} - 85 \, q^{5} t^{5} - 10 \, q^{4} t^{6} + 5 \, q^{7} t^{2} - 8 \, q^{6} t^{3} - 48 \, q^{5} t^{4} - 20 \, q^{4} t^{5} + 23 \, q^{3} t^{6} + q^{6} t^{2} - 4 \, q^{5} t^{3} - 6 \, q^{4} t^{4} + 32 \, q^{3} t^{5} + 7 \, q^{2} t^{6} - q^{4} t^{3} + 4 \, q^{3} t^{4} - 8 \, q t^{6} - t^{7}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)} {\left(q - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 6 edges: | [[0, 5], [1, 4], [2, 3], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{13} + 6 \, q^{12} t - 4 \, q^{11} t^{2} - 2 \, q^{10} t^{3} + q^{9} t^{4} - 7 \, q^{11} t - 16 \, q^{10} t^{2} + 10 \, q^{9} t^{3} + 4 \, q^{8} t^{4} - q^{7} t^{5} - 14 \, q^{10} t + 28 \, q^{9} t^{2} + 24 \, q^{8} t^{3} - 20 \, q^{7} t^{4} + 6 \, q^{9} t + 24 \, q^{8} t^{2} - 42 \, q^{7} t^{3} - 2 \, q^{6} t^{4} + 4 \, q^{5} t^{5} + 4 \, q^{8} t - 2 \, q^{7} t^{2} - 42 \, q^{6} t^{3} + 24 \, q^{5} t^{4} + 6 \, q^{4} t^{5} - 20 \, q^{6} t^{2} + 24 \, q^{5} t^{3} + 28 \, q^{4} t^{4} - 14 \, q^{3} t^{5} - q^{6} t + 4 \, q^{5} t^{2} + 10 \, q^{4} t^{3} - 16 \, q^{3} t^{4} - 7 \, q^{2} t^{5} + q^{4} t^{2} - 2 \, q^{3} t^{3} - 4 \, q^{2} t^{4} + 6 \, q t^{5} + t^{6}}{{\left(q^{2} - t\right)} {\left(q - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[0, 5], [1, 4], [2, 3], [2, 6], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{10} + 5 \, q^{9} t - q^{8} t^{2} - q^{7} t^{3} - 4 \, q^{8} t - 4 \, q^{7} t^{2} - 10 \, q^{7} t + 6 \, q^{5} t^{3} + 16 \, q^{5} t^{2} + 6 \, q^{5} t - 10 \, q^{3} t^{3} - 4 \, q^{3} t^{2} - 4 \, q^{2} t^{3} - q^{3} t - q^{2} t^{2} + 5 \, q t^{3} + t^{4}}{{\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 5], [1, 4], [1, 6], [2, 3], [2, 6], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{9} + 4 \, q^{8} t + q^{7} t^{2} - 12 \, q^{6} t - 6 \, q^{5} t^{2} + 6 \, q^{4} t + 12 \, q^{3} t^{2} - q^{2} t - 4 \, q t^{2} - t^{3}}{{\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 5], [0, 6], [1, 4], [1, 6], [2, 3], [2, 6], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{11} + 4 \, q^{10} t + q^{9} t^{2} + q^{9} t - 2 \, q^{8} t^{2} - q^{7} t^{3} - 16 \, q^{8} t - 14 \, q^{7} t^{2} + 2 \, q^{7} t + 18 \, q^{6} t^{2} + 6 \, q^{5} t^{3} + 6 \, q^{6} t + 18 \, q^{5} t^{2} + 2 \, q^{4} t^{3} - 14 \, q^{4} t^{2} - 16 \, q^{3} t^{3} - q^{4} t - 2 \, q^{3} t^{2} + q^{2} t^{3} + q^{2} t^{2} + 4 \, q t^{3} + t^{4}}{{\left(q^{2} - t\right)} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 5], [1, 4], [2, 3], [2, 6], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + q^{15} t + 4 \, q^{14} t - 4 \, q^{13} t^{2} - 12 \, q^{13} t - 8 \, q^{12} t^{2} - 2 \, q^{11} t^{3} - 8 \, q^{12} t + 8 \, q^{11} t^{2} + 28 \, q^{10} t^{3} + 4 \, q^{9} t^{4} + 10 \, q^{11} t + 44 \, q^{10} t^{2} - 20 \, q^{9} t^{3} - 13 \, q^{8} t^{4} - q^{7} t^{5} - 16 \, q^{9} t^{2} - 32 \, q^{8} t^{3} - 16 \, q^{7} t^{4} - q^{9} t - 13 \, q^{8} t^{2} - 20 \, q^{7} t^{3} + 44 \, q^{6} t^{4} + 10 \, q^{5} t^{5} + 4 \, q^{7} t^{2} + 28 \, q^{6} t^{3} + 8 \, q^{5} t^{4} - 8 \, q^{4} t^{5} - 2 \, q^{5} t^{3} - 8 \, q^{4} t^{4} - 12 \, q^{3} t^{5} - 4 \, q^{3} t^{4} + 4 \, q^{2} t^{5} + q t^{5} + t^{6}}{{\left(q^{2} - t\right)}^{4} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 5], [1, 4], [1, 6], [2, 3], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{19} + q^{18} t + 2 \, q^{17} t - 4 \, q^{16} t^{2} - 9 \, q^{16} t - 5 \, q^{15} t^{2} - 2 \, q^{14} t^{3} - 10 \, q^{15} t + 32 \, q^{13} t^{3} + 4 \, q^{12} t^{4} + 10 \, q^{14} t + 56 \, q^{13} t^{2} - 24 \, q^{12} t^{3} - 15 \, q^{11} t^{4} - q^{10} t^{5} - 14 \, q^{12} t^{2} - 28 \, q^{11} t^{3} - 24 \, q^{10} t^{4} - 2 \, q^{9} t^{5} - q^{12} t - 15 \, q^{11} t^{2} - 48 \, q^{10} t^{3} + 48 \, q^{9} t^{4} + 15 \, q^{8} t^{5} + q^{7} t^{6} + 2 \, q^{10} t^{2} + 24 \, q^{9} t^{3} + 28 \, q^{8} t^{4} + 14 \, q^{7} t^{5} + q^{9} t^{2} + 15 \, q^{8} t^{3} + 24 \, q^{7} t^{4} - 56 \, q^{6} t^{5} - 10 \, q^{5} t^{6} - 4 \, q^{7} t^{3} - 32 \, q^{6} t^{4} + 10 \, q^{4} t^{6} + 2 \, q^{5} t^{4} + 5 \, q^{4} t^{5} + 9 \, q^{3} t^{6} + 4 \, q^{3} t^{5} - 2 \, q^{2} t^{6} - q t^{6} - t^{7}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{4} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 5], [1, 4], [1, 6], [2, 3], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + 6 \, q^{13} t - 10 \, q^{12} t - 4 \, q^{11} t^{2} - 10 \, q^{11} t - 12 \, q^{10} t^{2} - 2 \, q^{9} t^{3} + 10 \, q^{10} t + 38 \, q^{9} t^{2} + 12 \, q^{8} t^{3} + q^{7} t^{4} - 2 \, q^{8} t^{2} + 2 \, q^{7} t^{3} - q^{8} t - 12 \, q^{7} t^{2} - 38 \, q^{6} t^{3} - 10 \, q^{5} t^{4} + 2 \, q^{6} t^{2} + 12 \, q^{5} t^{3} + 10 \, q^{4} t^{4} + 4 \, q^{4} t^{3} + 10 \, q^{3} t^{4} - 6 \, q^{2} t^{4} - t^{5}}{{\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 5], [0, 6], [1, 4], [1, 6], [2, 3], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + 4 \, q^{14} t - 6 \, q^{13} t^{2} + 4 \, q^{12} t^{3} - q^{11} t^{4} - 4 \, q^{13} t - 16 \, q^{12} t^{2} + 4 \, q^{11} t^{3} + 8 \, q^{10} t^{4} - 4 \, q^{9} t^{5} - 14 \, q^{12} t + 39 \, q^{11} t^{2} + 28 \, q^{10} t^{3} - 34 \, q^{9} t^{4} + 8 \, q^{8} t^{5} + q^{7} t^{6} + 2 \, q^{11} t + 16 \, q^{10} t^{2} - 44 \, q^{9} t^{3} - 12 \, q^{8} t^{4} + 10 \, q^{7} t^{5} + 6 \, q^{10} t + 2 \, q^{9} t^{2} - 66 \, q^{8} t^{3} + 66 \, q^{7} t^{4} - 2 \, q^{6} t^{5} - 6 \, q^{5} t^{6} - 10 \, q^{8} t^{2} + 12 \, q^{7} t^{3} + 44 \, q^{6} t^{4} - 16 \, q^{5} t^{5} - 2 \, q^{4} t^{6} - q^{8} t - 8 \, q^{7} t^{2} + 34 \, q^{6} t^{3} - 28 \, q^{5} t^{4} - 39 \, q^{4} t^{5} + 14 \, q^{3} t^{6} + 4 \, q^{6} t^{2} - 8 \, q^{5} t^{3} - 4 \, q^{4} t^{4} + 16 \, q^{3} t^{5} + 4 \, q^{2} t^{6} + q^{4} t^{3} - 4 \, q^{3} t^{4} + 6 \, q^{2} t^{5} - 4 \, q t^{6} - t^{7}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[0, 5], [1, 4], [1, 5], [2, 3], [2, 6], [3, 6], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + 6 \, q^{13} t - 10 \, q^{12} t - 4 \, q^{11} t^{2} - 8 \, q^{11} t - 14 \, q^{10} t^{2} - 2 \, q^{9} t^{3} + 6 \, q^{10} t + 38 \, q^{9} t^{2} + 16 \, q^{8} t^{3} + q^{7} t^{4} + 2 \, q^{9} t + 4 \, q^{8} t^{2} - 4 \, q^{7} t^{3} - 2 \, q^{6} t^{4} - q^{8} t - 16 \, q^{7} t^{2} - 38 \, q^{6} t^{3} - 6 \, q^{5} t^{4} + 2 \, q^{6} t^{2} + 14 \, q^{5} t^{3} + 8 \, q^{4} t^{4} + 4 \, q^{4} t^{3} + 10 \, q^{3} t^{4} - 6 \, q^{2} t^{4} - t^{5}}{{\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 5], [0, 6], [1, 4], [1, 5], [2, 3], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + 6 \, q^{13} t - 12 \, q^{12} t - 4 \, q^{11} t^{2} - 4 \, q^{11} t - 10 \, q^{10} t^{2} - 2 \, q^{9} t^{3} + 4 \, q^{10} t + 32 \, q^{9} t^{2} + 14 \, q^{8} t^{3} + q^{7} t^{4} + 2 \, q^{9} t + 4 \, q^{8} t^{2} - 4 \, q^{7} t^{3} - 2 \, q^{6} t^{4} - q^{8} t - 14 \, q^{7} t^{2} - 32 \, q^{6} t^{3} - 4 \, q^{5} t^{4} + 2 \, q^{6} t^{2} + 10 \, q^{5} t^{3} + 4 \, q^{4} t^{4} + 4 \, q^{4} t^{3} + 12 \, q^{3} t^{4} - 6 \, q^{2} t^{4} - t^{5}}{{\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 5], [0, 6], [1, 4], [1, 5], [2, 3], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + 4 \, q^{14} t - 4 \, q^{13} t + q^{12} t^{2} - 8 \, q^{12} t - 2 \, q^{11} t^{2} + 5 \, q^{11} t - 4 \, q^{10} t^{2} - 2 \, q^{10} t + q^{9} t + 16 \, q^{8} t^{2} + q^{7} t^{3} - 2 \, q^{6} t^{3} - 4 \, q^{6} t^{2} + 5 \, q^{5} t^{3} - 2 \, q^{5} t^{2} - 8 \, q^{4} t^{3} + q^{4} t^{2} - 4 \, q^{3} t^{3} + 4 \, q^{2} t^{3} + t^{4}}{{\left(q^{5} - t\right)} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 5], [0, 6], [1, 4], [1, 5], [1, 6], [2, 3], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{11} + 4 \, q^{9} t - 4 \, q^{8} t + q^{7} t^{2} - 8 \, q^{7} t - 2 \, q^{6} t^{2} + 4 \, q^{6} t - 4 \, q^{5} t^{2} + 2 \, q^{5} t + 8 \, q^{4} t^{2} - q^{4} t + 4 \, q^{3} t^{2} - 4 \, q^{2} t^{2} - t^{3}}{{\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 5], [0, 6], [1, 4], [1, 5], [1, 6], [2, 3], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + q^{15} t + 2 \, q^{14} t - 4 \, q^{13} t^{2} - 10 \, q^{13} t - 4 \, q^{12} t^{2} - 4 \, q^{12} t + 6 \, q^{11} t^{2} + 20 \, q^{10} t^{3} + 2 \, q^{9} t^{4} + 4 \, q^{11} t + 36 \, q^{10} t^{2} - 18 \, q^{9} t^{3} - 9 \, q^{8} t^{4} - q^{7} t^{5} + 2 \, q^{10} t - 12 \, q^{9} t^{2} - 24 \, q^{8} t^{3} - 12 \, q^{7} t^{4} + 2 \, q^{6} t^{5} - q^{9} t - 9 \, q^{8} t^{2} - 18 \, q^{7} t^{3} + 36 \, q^{6} t^{4} + 4 \, q^{5} t^{5} + 2 \, q^{7} t^{2} + 20 \, q^{6} t^{3} + 6 \, q^{5} t^{4} - 4 \, q^{4} t^{5} - 4 \, q^{4} t^{4} - 10 \, q^{3} t^{5} - 4 \, q^{3} t^{4} + 2 \, q^{2} t^{5} + q t^{5} + t^{6}}{{\left(q^{2} - t\right)}^{4} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 6], [1, 4], [1, 6], [2, 3], [2, 5], [3, 4], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{23} + q^{22} t + q^{21} t - 3 \, q^{20} t^{2} + 3 \, q^{20} t - 4 \, q^{19} t^{2} - q^{18} t^{3} - 40 \, q^{19} t - 27 \, q^{18} t^{2} + 12 \, q^{17} t^{3} + q^{16} t^{4} + 38 \, q^{18} t + 91 \, q^{17} t^{2} + 44 \, q^{16} t^{3} + 9 \, q^{15} t^{4} - 12 \, q^{17} t - 6 \, q^{16} t^{2} - 63 \, q^{15} t^{3} - 56 \, q^{14} t^{4} - 5 \, q^{13} t^{5} + q^{16} t - 17 \, q^{15} t^{2} - 57 \, q^{14} t^{3} - 26 \, q^{13} t^{4} - 11 \, q^{12} t^{5} - 13 \, q^{14} t^{2} - 81 \, q^{13} t^{3} + 107 \, q^{12} t^{4} + 106 \, q^{11} t^{5} + 7 \, q^{10} t^{6} + 7 \, q^{13} t^{2} + 106 \, q^{12} t^{3} + 107 \, q^{11} t^{4} - 81 \, q^{10} t^{5} - 13 \, q^{9} t^{6} - 11 \, q^{11} t^{3} - 26 \, q^{10} t^{4} - 57 \, q^{9} t^{5} - 17 \, q^{8} t^{6} + q^{7} t^{7} - 5 \, q^{10} t^{3} - 56 \, q^{9} t^{4} - 63 \, q^{8} t^{5} - 6 \, q^{7} t^{6} - 12 \, q^{6} t^{7} + 9 \, q^{8} t^{4} + 44 \, q^{7} t^{5} + 91 \, q^{6} t^{6} + 38 \, q^{5} t^{7} + q^{7} t^{4} + 12 \, q^{6} t^{5} - 27 \, q^{5} t^{6} - 40 \, q^{4} t^{7} - q^{5} t^{5} - 4 \, q^{4} t^{6} + 3 \, q^{3} t^{7} - 3 \, q^{3} t^{6} + q^{2} t^{7} + q t^{7} + t^{8}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 6], [1, 4], [1, 5], [2, 3], [2, 6], [3, 4], [3, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + q^{19} t + q^{18} t - 3 \, q^{17} t^{2} - 4 \, q^{17} t - 3 \, q^{16} t^{2} - q^{15} t^{3} - 16 \, q^{16} t - 10 \, q^{15} t^{2} + 13 \, q^{14} t^{3} + q^{13} t^{4} + 12 \, q^{15} t + 55 \, q^{14} t^{2} + 19 \, q^{13} t^{3} + 4 \, q^{12} t^{4} - 8 \, q^{13} t^{2} - 57 \, q^{12} t^{3} - 45 \, q^{11} t^{4} - 4 \, q^{10} t^{5} - q^{13} t - 3 \, q^{12} t^{2} - 6 \, q^{11} t^{3} + 43 \, q^{10} t^{4} + 11 \, q^{9} t^{5} - 11 \, q^{11} t^{2} - 43 \, q^{10} t^{3} + 6 \, q^{9} t^{4} + 3 \, q^{8} t^{5} + q^{7} t^{6} + 4 \, q^{10} t^{2} + 45 \, q^{9} t^{3} + 57 \, q^{8} t^{4} + 8 \, q^{7} t^{5} - 4 \, q^{8} t^{3} - 19 \, q^{7} t^{4} - 55 \, q^{6} t^{5} - 12 \, q^{5} t^{6} - q^{7} t^{3} - 13 \, q^{6} t^{4} + 10 \, q^{5} t^{5} + 16 \, q^{4} t^{6} + q^{5} t^{4} + 3 \, q^{4} t^{5} + 4 \, q^{3} t^{6} + 3 \, q^{3} t^{5} - q^{2} t^{6} - q t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 6], [1, 4], [1, 5], [2, 3], [2, 6], [3, 4], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{20} t + q^{20} - 2 \, q^{19} t - 2 \, q^{18} t^{2} + 2 \, q^{18} t - q^{17} t^{2} - q^{16} t^{3} + 7 \, q^{17} t - q^{16} t^{2} + 6 \, q^{15} t^{3} - 42 \, q^{16} t - 6 \, q^{15} t^{2} + 7 \, q^{14} t^{3} + 3 \, q^{13} t^{4} + 38 \, q^{15} t + 49 \, q^{14} t^{2} + 13 \, q^{13} t^{3} + 10 \, q^{12} t^{4} - 12 \, q^{14} t - 31 \, q^{13} t^{2} - 86 \, q^{12} t^{3} - 103 \, q^{11} t^{4} - 13 \, q^{10} t^{5} + q^{13} t + 46 \, q^{12} t^{2} + 105 \, q^{11} t^{3} + 169 \, q^{10} t^{4} + 46 \, q^{9} t^{5} - 46 \, q^{11} t^{2} - 169 \, q^{10} t^{3} - 105 \, q^{9} t^{4} - 46 \, q^{8} t^{5} - q^{7} t^{6} + 13 \, q^{10} t^{2} + 103 \, q^{9} t^{3} + 86 \, q^{8} t^{4} + 31 \, q^{7} t^{5} + 12 \, q^{6} t^{6} - 10 \, q^{8} t^{3} - 13 \, q^{7} t^{4} - 49 \, q^{6} t^{5} - 38 \, q^{5} t^{6} - 3 \, q^{7} t^{3} - 7 \, q^{6} t^{4} + 6 \, q^{5} t^{5} + 42 \, q^{4} t^{6} - 6 \, q^{5} t^{4} + q^{4} t^{5} - 7 \, q^{3} t^{6} + q^{4} t^{4} + q^{3} t^{5} - 2 \, q^{2} t^{6} + 2 \, q^{2} t^{5} + 2 \, q t^{6} - t^{7} - t^{6}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[1, 4], [1, 5], [2, 3], [2, 5], [2, 6], [3, 4], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{16} t + q^{16} - 2 \, q^{15} t - 3 \, q^{13} t^{2} + 17 \, q^{13} t - 4 \, q^{12} t^{2} - 50 \, q^{12} t + 20 \, q^{11} t^{2} - 17 \, q^{10} t^{3} + 40 \, q^{11} t - 7 \, q^{10} t^{2} + 74 \, q^{9} t^{3} - 12 \, q^{10} t - 39 \, q^{9} t^{2} - 100 \, q^{8} t^{3} - q^{7} t^{4} + q^{9} t + 100 \, q^{8} t^{2} + 39 \, q^{7} t^{3} + 12 \, q^{6} t^{4} - 74 \, q^{7} t^{2} + 7 \, q^{6} t^{3} - 40 \, q^{5} t^{4} + 17 \, q^{6} t^{2} - 20 \, q^{5} t^{3} + 50 \, q^{4} t^{4} + 4 \, q^{4} t^{3} - 17 \, q^{3} t^{4} + 3 \, q^{3} t^{3} + 2 \, q t^{4} - t^{5} - t^{4}}{{\left(q^{3} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[1, 4], [1, 5], [1, 6], [2, 3], [2, 5], [2, 6], [3, 4], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{21} + q^{20} t - 2 \, q^{18} t^{2} + 11 \, q^{18} t - 4 \, q^{17} t^{2} - q^{16} t^{3} - 52 \, q^{17} t - 20 \, q^{16} t^{2} + 4 \, q^{15} t^{3} + 46 \, q^{16} t + 61 \, q^{15} t^{2} + 28 \, q^{14} t^{3} + 7 \, q^{13} t^{4} - 14 \, q^{15} t - 8 \, q^{14} t^{2} - 20 \, q^{13} t^{3} - 8 \, q^{12} t^{4} + q^{14} t + 21 \, q^{13} t^{2} - 25 \, q^{12} t^{3} - 70 \, q^{11} t^{4} - 13 \, q^{10} t^{5} - 40 \, q^{12} t^{2} - 92 \, q^{11} t^{3} + 92 \, q^{10} t^{4} + 40 \, q^{9} t^{5} + 13 \, q^{11} t^{2} + 70 \, q^{10} t^{3} + 25 \, q^{9} t^{4} - 21 \, q^{8} t^{5} - q^{7} t^{6} + 8 \, q^{9} t^{3} + 20 \, q^{8} t^{4} + 8 \, q^{7} t^{5} + 14 \, q^{6} t^{6} - 7 \, q^{8} t^{3} - 28 \, q^{7} t^{4} - 61 \, q^{6} t^{5} - 46 \, q^{5} t^{6} - 4 \, q^{6} t^{4} + 20 \, q^{5} t^{5} + 52 \, q^{4} t^{6} + q^{5} t^{4} + 4 \, q^{4} t^{5} - 11 \, q^{3} t^{6} + 2 \, q^{3} t^{5} - q t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 6], [1, 4], [1, 5], [2, 3], [2, 5], [3, 4], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{19} + q^{18} t - q^{17} t - q^{16} t^{2} + 13 \, q^{16} t - 3 \, q^{15} t^{2} - 48 \, q^{15} t - 11 \, q^{14} t^{2} - 3 \, q^{13} t^{3} + 40 \, q^{14} t + 37 \, q^{13} t^{2} + 13 \, q^{12} t^{3} - 12 \, q^{13} t - 28 \, q^{12} t^{2} + 15 \, q^{11} t^{3} + 15 \, q^{10} t^{4} + q^{12} t + 65 \, q^{11} t^{2} - 35 \, q^{10} t^{3} - 59 \, q^{9} t^{4} - 59 \, q^{10} t^{2} - 35 \, q^{9} t^{3} + 65 \, q^{8} t^{4} + q^{7} t^{5} + 15 \, q^{9} t^{2} + 15 \, q^{8} t^{3} - 28 \, q^{7} t^{4} - 12 \, q^{6} t^{5} + 13 \, q^{7} t^{3} + 37 \, q^{6} t^{4} + 40 \, q^{5} t^{5} - 3 \, q^{6} t^{3} - 11 \, q^{5} t^{4} - 48 \, q^{4} t^{5} - 3 \, q^{4} t^{4} + 13 \, q^{3} t^{5} - q^{3} t^{4} - q^{2} t^{5} + q t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 6], [1, 4], [1, 5], [2, 3], [2, 5], [2, 6], [3, 4], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + q^{16} t - 2 \, q^{15} t + 17 \, q^{14} t - 3 \, q^{13} t^{2} - 50 \, q^{13} t - 4 \, q^{12} t^{2} + 40 \, q^{12} t + 23 \, q^{11} t^{2} - 17 \, q^{10} t^{3} - 12 \, q^{11} t - 50 \, q^{10} t^{2} + 74 \, q^{9} t^{3} + q^{10} t + 101 \, q^{9} t^{2} - 101 \, q^{8} t^{3} - q^{7} t^{4} - 74 \, q^{8} t^{2} + 50 \, q^{7} t^{3} + 12 \, q^{6} t^{4} + 17 \, q^{7} t^{2} - 23 \, q^{6} t^{3} - 40 \, q^{5} t^{4} + 4 \, q^{5} t^{3} + 50 \, q^{4} t^{4} + 3 \, q^{4} t^{3} - 17 \, q^{3} t^{4} + 2 \, q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 6], [1, 4], [1, 5], [1, 6], [2, 3], [2, 5], [2, 6], [3, 4], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{16} t + q^{16} - 2 \, q^{15} t - 3 \, q^{13} t^{2} + 21 \, q^{13} t - 6 \, q^{12} t^{2} - 60 \, q^{12} t + 24 \, q^{11} t^{2} - 21 \, q^{10} t^{3} + 48 \, q^{11} t - 9 \, q^{10} t^{2} + 90 \, q^{9} t^{3} - 14 \, q^{10} t - 47 \, q^{9} t^{2} - 120 \, q^{8} t^{3} - q^{7} t^{4} + q^{9} t + 120 \, q^{8} t^{2} + 47 \, q^{7} t^{3} + 14 \, q^{6} t^{4} - 90 \, q^{7} t^{2} + 9 \, q^{6} t^{3} - 48 \, q^{5} t^{4} + 21 \, q^{6} t^{2} - 24 \, q^{5} t^{3} + 60 \, q^{4} t^{4} + 6 \, q^{4} t^{3} - 21 \, q^{3} t^{4} + 3 \, q^{3} t^{3} + 2 \, q t^{4} - t^{5} - t^{4}}{{\left(q^{3} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[1, 4], [1, 5], [1, 6], [2, 3], [2, 5], [2, 6], [3, 4], [3, 6], [4, 5]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + q^{17} t - 2 \, q^{15} t^{2} + 4 \, q^{15} t - 3 \, q^{14} t^{2} - q^{13} t^{3} - 28 \, q^{14} t - 4 \, q^{13} t^{2} + 4 \, q^{12} t^{3} + 20 \, q^{13} t + 19 \, q^{12} t^{2} + 15 \, q^{11} t^{3} + 4 \, q^{10} t^{4} - 2 \, q^{12} t + 24 \, q^{11} t^{2} - 14 \, q^{10} t^{3} - 10 \, q^{9} t^{4} - q^{11} t - 13 \, q^{10} t^{2} - 28 \, q^{9} t^{3} - 13 \, q^{8} t^{4} - q^{7} t^{5} - 10 \, q^{9} t^{2} - 14 \, q^{8} t^{3} + 24 \, q^{7} t^{4} - 2 \, q^{6} t^{5} + 4 \, q^{8} t^{2} + 15 \, q^{7} t^{3} + 19 \, q^{6} t^{4} + 20 \, q^{5} t^{5} + 4 \, q^{6} t^{3} - 4 \, q^{5} t^{4} - 28 \, q^{4} t^{5} - q^{5} t^{3} - 3 \, q^{4} t^{4} + 4 \, q^{3} t^{5} - 2 \, q^{3} t^{4} + q t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 6], [1, 4], [1, 5], [2, 3], [2, 5], [3, 4], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + q^{15} t + 5 \, q^{14} t - q^{13} t^{2} - 8 \, q^{13} t + 2 \, q^{12} t^{2} - 14 \, q^{12} t - 22 \, q^{11} t^{2} - 4 \, q^{10} t^{3} + 12 \, q^{11} t + 29 \, q^{10} t^{2} + 13 \, q^{9} t^{3} + 16 \, q^{9} t^{2} + 5 \, q^{8} t^{3} + q^{7} t^{4} - q^{9} t - 5 \, q^{8} t^{2} - 16 \, q^{7} t^{3} - 13 \, q^{7} t^{2} - 29 \, q^{6} t^{3} - 12 \, q^{5} t^{4} + 4 \, q^{6} t^{2} + 22 \, q^{5} t^{3} + 14 \, q^{4} t^{4} - 2 \, q^{4} t^{3} + 8 \, q^{3} t^{4} + q^{3} t^{3} - 5 \, q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 6], [1, 4], [1, 5], [2, 3], [2, 5], [2, 6], [3, 4], [3, 6], [4, 5]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + q^{15} t - q^{14} t - q^{13} t^{2} + 6 \, q^{13} t - 2 \, q^{12} t^{2} - 24 \, q^{12} t - 4 \, q^{10} t^{3} + 14 \, q^{11} t + 3 \, q^{10} t^{2} + 17 \, q^{9} t^{3} + 14 \, q^{9} t^{2} - 9 \, q^{8} t^{3} + q^{7} t^{4} - q^{9} t + 9 \, q^{8} t^{2} - 14 \, q^{7} t^{3} - 17 \, q^{7} t^{2} - 3 \, q^{6} t^{3} - 14 \, q^{5} t^{4} + 4 \, q^{6} t^{2} + 24 \, q^{4} t^{4} + 2 \, q^{4} t^{3} - 6 \, q^{3} t^{4} + q^{3} t^{3} + q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 6], [1, 4], [1, 5], [2, 3], [2, 5], [2, 6], [3, 4], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{24} t + q^{24} - 2 \, q^{23} t - 3 \, q^{21} t^{2} + 5 \, q^{21} t - 14 \, q^{20} t + 8 \, q^{19} t^{2} - 3 \, q^{18} t^{3} - 4 \, q^{19} t + q^{18} t^{2} + 24 \, q^{17} t^{3} + 10 \, q^{18} t - 25 \, q^{17} t^{2} - 23 \, q^{16} t^{3} + q^{15} t^{4} - 3 \, q^{17} t + 85 \, q^{16} t^{2} - 17 \, q^{15} t^{3} + 4 \, q^{14} t^{4} - 50 \, q^{15} t^{2} + 17 \, q^{14} t^{3} - 45 \, q^{13} t^{4} + 3 \, q^{14} t^{2} - 19 \, q^{13} t^{3} + 54 \, q^{12} t^{4} - 2 \, q^{11} t^{5} + 2 \, q^{13} t^{2} - 54 \, q^{12} t^{3} + 19 \, q^{11} t^{4} - 3 \, q^{10} t^{5} + 45 \, q^{11} t^{3} - 17 \, q^{10} t^{4} + 50 \, q^{9} t^{5} - 4 \, q^{10} t^{3} + 17 \, q^{9} t^{4} - 85 \, q^{8} t^{5} + 3 \, q^{7} t^{6} - q^{9} t^{3} + 23 \, q^{8} t^{4} + 25 \, q^{7} t^{5} - 10 \, q^{6} t^{6} - 24 \, q^{7} t^{4} - q^{6} t^{5} + 4 \, q^{5} t^{6} + 3 \, q^{6} t^{4} - 8 \, q^{5} t^{5} + 14 \, q^{4} t^{6} - 5 \, q^{3} t^{6} + 3 \, q^{3} t^{5} + 2 \, q t^{6} - t^{7} - t^{6}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[1, 4], [1, 5], [1, 6], [2, 3], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{16} t + q^{16} - 2 \, q^{15} t - 3 \, q^{13} t^{2} + 5 \, q^{13} t + 2 \, q^{12} t^{2} - 16 \, q^{12} t + 6 \, q^{11} t^{2} - 3 \, q^{10} t^{3} + 6 \, q^{11} t - 3 \, q^{10} t^{2} + 18 \, q^{9} t^{3} + 2 \, q^{10} t - q^{9} t^{2} - 24 \, q^{8} t^{3} + q^{7} t^{4} - q^{9} t + 24 \, q^{8} t^{2} + q^{7} t^{3} - 2 \, q^{6} t^{4} - 18 \, q^{7} t^{2} + 3 \, q^{6} t^{3} - 6 \, q^{5} t^{4} + 3 \, q^{6} t^{2} - 6 \, q^{5} t^{3} + 16 \, q^{4} t^{4} - 2 \, q^{4} t^{3} - 5 \, q^{3} t^{4} + 3 \, q^{3} t^{3} + 2 \, q t^{4} - t^{5} - t^{4}}{{\left(q^{3} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[1, 4], [1, 5], [1, 6], [2, 3], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + q^{15} t - q^{14} t - q^{13} t^{2} + 4 \, q^{13} t - 2 \, q^{12} t^{2} - 18 \, q^{12} t - 2 \, q^{10} t^{3} + 8 \, q^{11} t + 3 \, q^{10} t^{2} + 11 \, q^{9} t^{3} + 2 \, q^{10} t + 16 \, q^{9} t^{2} - 3 \, q^{8} t^{3} + q^{7} t^{4} - q^{9} t + 3 \, q^{8} t^{2} - 16 \, q^{7} t^{3} - 2 \, q^{6} t^{4} - 11 \, q^{7} t^{2} - 3 \, q^{6} t^{3} - 8 \, q^{5} t^{4} + 2 \, q^{6} t^{2} + 18 \, q^{4} t^{4} + 2 \, q^{4} t^{3} - 4 \, q^{3} t^{4} + q^{3} t^{3} + q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 6], [1, 4], [1, 5], [2, 3], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + q^{15} t - q^{14} t - q^{13} t^{2} + 2 \, q^{13} t - 2 \, q^{12} t^{2} - 14 \, q^{12} t + 2 \, q^{11} t^{2} - 2 \, q^{10} t^{3} + 6 \, q^{11} t + 3 \, q^{10} t^{2} + 11 \, q^{9} t^{3} + 2 \, q^{10} t + 10 \, q^{9} t^{2} - 7 \, q^{8} t^{3} + q^{7} t^{4} - q^{9} t + 7 \, q^{8} t^{2} - 10 \, q^{7} t^{3} - 2 \, q^{6} t^{4} - 11 \, q^{7} t^{2} - 3 \, q^{6} t^{3} - 6 \, q^{5} t^{4} + 2 \, q^{6} t^{2} - 2 \, q^{5} t^{3} + 14 \, q^{4} t^{4} + 2 \, q^{4} t^{3} - 2 \, q^{3} t^{4} + q^{3} t^{3} + q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 6], [1, 4], [1, 5], [2, 3], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{21} + q^{20} t - 2 \, q^{19} t + 5 \, q^{18} t - 3 \, q^{17} t^{2} - 15 \, q^{17} t + q^{16} t^{2} + 2 \, q^{16} t + 3 \, q^{15} t^{2} - 3 \, q^{14} t^{3} + 4 \, q^{15} t - 7 \, q^{14} t^{2} + 21 \, q^{13} t^{3} - q^{14} t + 49 \, q^{13} t^{2} - 19 \, q^{12} t^{3} + q^{11} t^{4} - 30 \, q^{12} t^{2} - 9 \, q^{11} t^{3} + q^{10} t^{4} + q^{11} t^{2} - 9 \, q^{10} t^{3} - 30 \, q^{9} t^{4} + q^{10} t^{2} - 19 \, q^{9} t^{3} + 49 \, q^{8} t^{4} - q^{7} t^{5} + 21 \, q^{8} t^{3} - 7 \, q^{7} t^{4} + 4 \, q^{6} t^{5} - 3 \, q^{7} t^{3} + 3 \, q^{6} t^{4} + 2 \, q^{5} t^{5} + q^{5} t^{4} - 15 \, q^{4} t^{5} - 3 \, q^{4} t^{4} + 5 \, q^{3} t^{5} - 2 \, q^{2} t^{5} + q t^{5} + t^{6}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 6], [1, 4], [1, 5], [1, 6], [2, 3], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + q^{16} t - 2 \, q^{15} t + 5 \, q^{14} t - 3 \, q^{13} t^{2} - 16 \, q^{13} t + 2 \, q^{12} t^{2} + 6 \, q^{12} t + 3 \, q^{11} t^{2} - 3 \, q^{10} t^{3} + 2 \, q^{11} t + 18 \, q^{9} t^{3} - q^{10} t + 23 \, q^{9} t^{2} - 23 \, q^{8} t^{3} + q^{7} t^{4} - 18 \, q^{8} t^{2} - 2 \, q^{6} t^{4} + 3 \, q^{7} t^{2} - 3 \, q^{6} t^{3} - 6 \, q^{5} t^{4} - 2 \, q^{5} t^{3} + 16 \, q^{4} t^{4} + 3 \, q^{4} t^{3} - 5 \, q^{3} t^{4} + 2 \, q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 6], [1, 4], [1, 5], [1, 6], [2, 3], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + q^{14} t - 2 \, q^{12} t^{2} + q^{12} t - 2 \, q^{11} t^{2} - q^{10} t^{3} - 18 \, q^{11} t + 2 \, q^{10} t^{2} + 4 \, q^{9} t^{3} + 12 \, q^{10} t + 10 \, q^{9} t^{2} + 5 \, q^{8} t^{3} + q^{7} t^{4} + 10 \, q^{8} t^{2} - 10 \, q^{7} t^{3} - q^{8} t - 5 \, q^{7} t^{2} - 10 \, q^{6} t^{3} - 12 \, q^{5} t^{4} - 4 \, q^{6} t^{2} - 2 \, q^{5} t^{3} + 18 \, q^{4} t^{4} + q^{5} t^{2} + 2 \, q^{4} t^{3} - q^{3} t^{4} + 2 \, q^{3} t^{3} - q t^{4} - t^{5}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 5], [1, 4], [1, 6], [2, 3], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + 4 \, q^{18} t + 11 \, q^{17} t + q^{16} t^{2} - 56 \, q^{16} t - 22 \, q^{15} t^{2} + 48 \, q^{15} t + 9 \, q^{14} t^{2} - 7 \, q^{13} t^{3} - 14 \, q^{14} t + 40 \, q^{13} t^{2} + 18 \, q^{12} t^{3} + q^{13} t + 28 \, q^{12} t^{2} + 83 \, q^{11} t^{3} + 17 \, q^{10} t^{4} - 58 \, q^{11} t^{2} - 208 \, q^{10} t^{3} - 58 \, q^{9} t^{4} + 17 \, q^{10} t^{2} + 83 \, q^{9} t^{3} + 28 \, q^{8} t^{4} + q^{7} t^{5} + 18 \, q^{8} t^{3} + 40 \, q^{7} t^{4} - 14 \, q^{6} t^{5} - 7 \, q^{7} t^{3} + 9 \, q^{6} t^{4} + 48 \, q^{5} t^{5} - 22 \, q^{5} t^{4} - 56 \, q^{4} t^{5} + q^{4} t^{4} + 11 \, q^{3} t^{5} + 4 \, q^{2} t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 5], [0, 6], [1, 4], [1, 6], [2, 3], [2, 6], [3, 4], [3, 5], [4, 5]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 4 \, q^{15} t + q^{13} t^{2} - 22 \, q^{13} t - 8 \, q^{12} t^{2} + 14 \, q^{12} t - 15 \, q^{11} t^{2} - 4 \, q^{10} t^{3} + 58 \, q^{10} t^{2} + 12 \, q^{9} t^{3} - q^{10} t - 18 \, q^{9} t^{2} + 18 \, q^{8} t^{3} + q^{7} t^{4} - 12 \, q^{8} t^{2} - 58 \, q^{7} t^{3} + 4 \, q^{7} t^{2} + 15 \, q^{6} t^{3} - 14 \, q^{5} t^{4} + 8 \, q^{5} t^{3} + 22 \, q^{4} t^{4} - q^{4} t^{3} - 4 \, q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 5], [0, 6], [1, 4], [1, 6], [2, 3], [2, 6], [3, 4], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{11} + 4 \, q^{9} t + q^{7} t^{2} - 18 \, q^{7} t + 12 \, q^{6} t - 12 \, q^{5} t^{2} + 18 \, q^{4} t^{2} - q^{4} t - 4 \, q^{2} t^{2} - t^{3}}{{\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 5], [0, 6], [1, 4], [1, 6], [2, 3], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + q^{15} t - q^{14} t - q^{13} t^{2} + 6 \, q^{13} t - 2 \, q^{12} t^{2} - 24 \, q^{12} t - 2 \, q^{11} t^{2} - 4 \, q^{10} t^{3} + 14 \, q^{11} t + 11 \, q^{10} t^{2} + 19 \, q^{9} t^{3} + 2 \, q^{9} t^{2} - 17 \, q^{8} t^{3} + q^{7} t^{4} - q^{9} t + 17 \, q^{8} t^{2} - 2 \, q^{7} t^{3} - 19 \, q^{7} t^{2} - 11 \, q^{6} t^{3} - 14 \, q^{5} t^{4} + 4 \, q^{6} t^{2} + 2 \, q^{5} t^{3} + 24 \, q^{4} t^{4} + 2 \, q^{4} t^{3} - 6 \, q^{3} t^{4} + q^{3} t^{3} + q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 5], [1, 4], [1, 6], [2, 3], [2, 5], [2, 6], [3, 4], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{13} + 7 \, q^{11} t - 10 \, q^{10} t + q^{9} t^{2} - 8 \, q^{9} t - 16 \, q^{8} t^{2} - q^{7} t^{3} + 6 \, q^{8} t + 18 \, q^{7} t^{2} + 2 \, q^{6} t^{3} + 2 \, q^{7} t + 18 \, q^{6} t^{2} + 6 \, q^{5} t^{3} - q^{6} t - 16 \, q^{5} t^{2} - 8 \, q^{4} t^{3} + q^{4} t^{2} - 10 \, q^{3} t^{3} + 7 \, q^{2} t^{3} + t^{4}}{{\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 5], [0, 6], [1, 4], [1, 6], [2, 3], [2, 5], [3, 4], [3, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 4 \, q^{15} t + 4 \, q^{14} t + q^{13} t^{2} - 32 \, q^{13} t - 10 \, q^{12} t^{2} + 22 \, q^{12} t - 13 \, q^{11} t^{2} - 6 \, q^{10} t^{3} - 2 \, q^{11} t + 56 \, q^{10} t^{2} + 20 \, q^{9} t^{3} - q^{10} t - 10 \, q^{9} t^{2} + 10 \, q^{8} t^{3} + q^{7} t^{4} - 20 \, q^{8} t^{2} - 56 \, q^{7} t^{3} + 2 \, q^{6} t^{4} + 6 \, q^{7} t^{2} + 13 \, q^{6} t^{3} - 22 \, q^{5} t^{4} + 10 \, q^{5} t^{3} + 32 \, q^{4} t^{4} - q^{4} t^{3} - 4 \, q^{3} t^{4} - 4 \, q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 5], [0, 6], [1, 4], [1, 5], [2, 3], [2, 6], [3, 4], [3, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{11} + 4 \, q^{9} t - 2 \, q^{8} t + q^{7} t^{2} - 12 \, q^{7} t - 2 \, q^{6} t^{2} + 6 \, q^{6} t - 6 \, q^{5} t^{2} + 2 \, q^{5} t + 12 \, q^{4} t^{2} - q^{4} t + 2 \, q^{3} t^{2} - 4 \, q^{2} t^{2} - t^{3}}{{\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 5], [0, 6], [1, 4], [1, 5], [2, 3], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 4 \, q^{15} t + 4 \, q^{14} t + q^{13} t^{2} - 32 \, q^{13} t - 10 \, q^{12} t^{2} + 22 \, q^{12} t - 13 \, q^{11} t^{2} - 6 \, q^{10} t^{3} - 2 \, q^{11} t + 56 \, q^{10} t^{2} + 20 \, q^{9} t^{3} - q^{10} t - 10 \, q^{9} t^{2} + 10 \, q^{8} t^{3} + q^{7} t^{4} - 20 \, q^{8} t^{2} - 56 \, q^{7} t^{3} + 2 \, q^{6} t^{4} + 6 \, q^{7} t^{2} + 13 \, q^{6} t^{3} - 22 \, q^{5} t^{4} + 10 \, q^{5} t^{3} + 32 \, q^{4} t^{4} - q^{4} t^{3} - 4 \, q^{3} t^{4} - 4 \, q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 5], [0, 6], [1, 4], [1, 5], [2, 3], [2, 5], [3, 4], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 2 \, q^{15} t + 2 \, q^{14} t - q^{13} t^{2} - 18 \, q^{13} t - 4 \, q^{12} t^{2} + 8 \, q^{12} t - q^{11} t^{2} - 4 \, q^{10} t^{3} + 2 \, q^{11} t + 18 \, q^{10} t^{2} + 20 \, q^{9} t^{3} - q^{10} t + 14 \, q^{9} t^{2} - 14 \, q^{8} t^{3} + q^{7} t^{4} - 20 \, q^{8} t^{2} - 18 \, q^{7} t^{3} - 2 \, q^{6} t^{4} + 4 \, q^{7} t^{2} + q^{6} t^{3} - 8 \, q^{5} t^{4} + 4 \, q^{5} t^{3} + 18 \, q^{4} t^{4} + q^{4} t^{3} - 2 \, q^{3} t^{4} - 2 \, q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 5], [0, 6], [1, 4], [1, 5], [2, 3], [2, 5], [2, 6], [3, 4], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{23} + q^{21} t + 3 \, q^{20} t - 16 \, q^{19} t - 3 \, q^{18} t^{2} + 7 \, q^{18} t - q^{17} t^{2} - 2 \, q^{17} t + 3 \, q^{16} t^{2} - 3 \, q^{15} t^{3} + q^{16} t + 19 \, q^{15} t^{2} + 19 \, q^{14} t^{3} + 7 \, q^{14} t^{2} - 15 \, q^{13} t^{3} + q^{12} t^{4} - 9 \, q^{13} t^{2} - 11 \, q^{12} t^{3} - 2 \, q^{11} t^{4} - 2 \, q^{12} t^{2} - 11 \, q^{11} t^{3} - 9 \, q^{10} t^{4} + q^{11} t^{2} - 15 \, q^{10} t^{3} + 7 \, q^{9} t^{4} + 19 \, q^{9} t^{3} + 19 \, q^{8} t^{4} + q^{7} t^{5} - 3 \, q^{8} t^{3} + 3 \, q^{7} t^{4} - 2 \, q^{6} t^{5} - q^{6} t^{4} + 7 \, q^{5} t^{5} - 3 \, q^{5} t^{4} - 16 \, q^{4} t^{5} + 3 \, q^{3} t^{5} + q^{2} t^{5} + t^{6}}{{\left(q^{5} - t\right)} {\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 5], [0, 6], [1, 4], [1, 5], [1, 6], [2, 3], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + q^{16} t + 3 \, q^{15} t - 16 \, q^{14} t - 3 \, q^{13} t^{2} + 6 \, q^{13} t - q^{12} t^{2} + 2 \, q^{12} t + 6 \, q^{11} t^{2} - 3 \, q^{10} t^{3} - q^{11} t + 24 \, q^{10} t^{2} + 19 \, q^{9} t^{3} - 19 \, q^{9} t^{2} - 24 \, q^{8} t^{3} + q^{7} t^{4} + 3 \, q^{8} t^{2} - 6 \, q^{7} t^{3} - 2 \, q^{6} t^{4} + q^{6} t^{3} - 6 \, q^{5} t^{4} + 3 \, q^{5} t^{3} + 16 \, q^{4} t^{4} - 3 \, q^{3} t^{4} - q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 5], [0, 6], [1, 4], [1, 5], [1, 6], [2, 3], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{21} + q^{20} t - 2 \, q^{18} t^{2} + q^{18} t - 2 \, q^{17} t^{2} - q^{16} t^{3} - 22 \, q^{17} t - 14 \, q^{16} t^{2} + 6 \, q^{15} t^{3} + 14 \, q^{16} t + 41 \, q^{15} t^{2} + 24 \, q^{14} t^{3} + 3 \, q^{13} t^{4} + 14 \, q^{14} t^{2} - 36 \, q^{13} t^{3} - 8 \, q^{12} t^{4} - q^{14} t - 5 \, q^{13} t^{2} - 5 \, q^{12} t^{3} - 42 \, q^{11} t^{4} - 5 \, q^{10} t^{5} - 16 \, q^{12} t^{2} - 70 \, q^{11} t^{3} + 70 \, q^{10} t^{4} + 16 \, q^{9} t^{5} + 5 \, q^{11} t^{2} + 42 \, q^{10} t^{3} + 5 \, q^{9} t^{4} + 5 \, q^{8} t^{5} + q^{7} t^{6} + 8 \, q^{9} t^{3} + 36 \, q^{8} t^{4} - 14 \, q^{7} t^{5} - 3 \, q^{8} t^{3} - 24 \, q^{7} t^{4} - 41 \, q^{6} t^{5} - 14 \, q^{5} t^{6} - 6 \, q^{6} t^{4} + 14 \, q^{5} t^{5} + 22 \, q^{4} t^{6} + q^{5} t^{4} + 2 \, q^{4} t^{5} - q^{3} t^{6} + 2 \, q^{3} t^{5} - q t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 6], [1, 4], [1, 6], [2, 3], [2, 4], [2, 5], [3, 5], [3, 6], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + q^{17} t - 2 \, q^{15} t^{2} + 2 \, q^{15} t - 3 \, q^{14} t^{2} + q^{13} t^{3} - 22 \, q^{14} t - 4 \, q^{13} t^{2} - 4 \, q^{12} t^{3} + 14 \, q^{13} t + 23 \, q^{12} t^{2} + 29 \, q^{11} t^{3} + 4 \, q^{10} t^{4} + 12 \, q^{11} t^{2} - 30 \, q^{10} t^{3} - 14 \, q^{9} t^{4} - q^{11} t - q^{10} t^{2} - 12 \, q^{9} t^{3} - q^{8} t^{4} - q^{7} t^{5} - 14 \, q^{9} t^{2} - 30 \, q^{8} t^{3} + 12 \, q^{7} t^{4} + 4 \, q^{8} t^{2} + 29 \, q^{7} t^{3} + 23 \, q^{6} t^{4} + 14 \, q^{5} t^{5} - 4 \, q^{6} t^{3} - 4 \, q^{5} t^{4} - 22 \, q^{4} t^{5} + q^{5} t^{3} - 3 \, q^{4} t^{4} + 2 \, q^{3} t^{5} - 2 \, q^{3} t^{4} + q t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 6], [1, 4], [1, 5], [2, 3], [2, 4], [2, 6], [3, 5], [3, 6], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{19} + q^{18} t - q^{17} t - q^{16} t^{2} + 9 \, q^{16} t - 3 \, q^{15} t^{2} - 34 \, q^{15} t - 7 \, q^{14} t^{2} - 3 \, q^{13} t^{3} + 22 \, q^{14} t + 19 \, q^{13} t^{2} + 19 \, q^{12} t^{3} - 2 \, q^{13} t + 8 \, q^{12} t^{2} - 3 \, q^{11} t^{3} + 9 \, q^{10} t^{4} - q^{12} t + 25 \, q^{11} t^{2} - 23 \, q^{10} t^{3} - 35 \, q^{9} t^{4} - 35 \, q^{10} t^{2} - 23 \, q^{9} t^{3} + 25 \, q^{8} t^{4} - q^{7} t^{5} + 9 \, q^{9} t^{2} - 3 \, q^{8} t^{3} + 8 \, q^{7} t^{4} - 2 \, q^{6} t^{5} + 19 \, q^{7} t^{3} + 19 \, q^{6} t^{4} + 22 \, q^{5} t^{5} - 3 \, q^{6} t^{3} - 7 \, q^{5} t^{4} - 34 \, q^{4} t^{5} - 3 \, q^{4} t^{4} + 9 \, q^{3} t^{5} - q^{3} t^{4} - q^{2} t^{5} + q t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 6], [1, 4], [1, 5], [2, 3], [2, 4], [2, 5], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{11} + 2 \, q^{10} t - q^{9} t^{2} + q^{9} t - 2 \, q^{8} t^{2} - q^{7} t^{3} - 6 \, q^{8} t - 10 \, q^{7} t + 6 \, q^{6} t^{2} + 10 \, q^{5} t^{3} + 10 \, q^{6} t + 6 \, q^{5} t^{2} - 10 \, q^{4} t^{3} - 6 \, q^{3} t^{3} - q^{4} t - 2 \, q^{3} t^{2} + q^{2} t^{3} - q^{2} t^{2} + 2 \, q t^{3} + t^{4}}{{\left(q^{2} - t\right)} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 5], [1, 4], [2, 3], [2, 4], [2, 6], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + q^{13} t + 4 \, q^{12} t - 4 \, q^{11} t + 4 \, q^{10} t^{2} - 16 \, q^{10} t - 16 \, q^{9} t^{2} + 12 \, q^{9} t + 3 \, q^{8} t^{2} - q^{7} t^{3} + 24 \, q^{7} t^{2} - q^{7} t + 3 \, q^{6} t^{2} + 12 \, q^{5} t^{3} - 16 \, q^{5} t^{2} - 16 \, q^{4} t^{3} + 4 \, q^{4} t^{2} - 4 \, q^{3} t^{3} + 4 \, q^{2} t^{3} + q t^{3} + t^{4}}{{\left(q^{3} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 5], [1, 4], [1, 6], [2, 3], [2, 4], [2, 6], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{21} + 4 \, q^{19} t - 6 \, q^{18} t - 6 \, q^{17} t^{2} - 16 \, q^{17} t - 16 \, q^{16} t^{2} + 4 \, q^{15} t^{3} + 12 \, q^{16} t + 55 \, q^{15} t^{2} + 4 \, q^{14} t^{3} - q^{13} t^{4} + 36 \, q^{13} t^{3} + 8 \, q^{12} t^{4} - q^{14} t - 4 \, q^{13} t^{2} - 102 \, q^{12} t^{3} - 46 \, q^{11} t^{4} - 4 \, q^{10} t^{5} - 12 \, q^{12} t^{2} - 16 \, q^{11} t^{3} + 16 \, q^{10} t^{4} + 12 \, q^{9} t^{5} + 4 \, q^{11} t^{2} + 46 \, q^{10} t^{3} + 102 \, q^{9} t^{4} + 4 \, q^{8} t^{5} + q^{7} t^{6} - 8 \, q^{9} t^{3} - 36 \, q^{8} t^{4} + q^{8} t^{3} - 4 \, q^{7} t^{4} - 55 \, q^{6} t^{5} - 12 \, q^{5} t^{6} - 4 \, q^{6} t^{4} + 16 \, q^{5} t^{5} + 16 \, q^{4} t^{6} + 6 \, q^{4} t^{5} + 6 \, q^{3} t^{6} - 4 \, q^{2} t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 5], [0, 6], [1, 4], [1, 6], [2, 3], [2, 4], [2, 6], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 4 \, q^{15} t + q^{13} t^{2} - 22 \, q^{13} t - 10 \, q^{12} t^{2} + 14 \, q^{12} t - 7 \, q^{11} t^{2} - 4 \, q^{10} t^{3} + 46 \, q^{10} t^{2} + 14 \, q^{9} t^{3} - q^{10} t - 10 \, q^{9} t^{2} + 10 \, q^{8} t^{3} + q^{7} t^{4} - 14 \, q^{8} t^{2} - 46 \, q^{7} t^{3} + 4 \, q^{7} t^{2} + 7 \, q^{6} t^{3} - 14 \, q^{5} t^{4} + 10 \, q^{5} t^{3} + 22 \, q^{4} t^{4} - q^{4} t^{3} - 4 \, q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 5], [0, 6], [1, 4], [1, 6], [2, 3], [2, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{24} + 2 \, q^{22} t + 7 \, q^{21} t - q^{20} t^{2} - 31 \, q^{20} t - 10 \, q^{19} t^{2} + 12 \, q^{19} t - 9 \, q^{18} t^{2} - 3 \, q^{17} t^{3} + 6 \, q^{18} t + 43 \, q^{17} t^{2} + 25 \, q^{16} t^{3} - 3 \, q^{17} t + 44 \, q^{16} t^{2} + 27 \, q^{15} t^{3} + 9 \, q^{14} t^{4} - 58 \, q^{15} t^{2} - 101 \, q^{14} t^{3} - 37 \, q^{13} t^{4} + 11 \, q^{14} t^{2} - 5 \, q^{13} t^{3} + 6 \, q^{12} t^{4} - q^{11} t^{5} + q^{13} t^{2} - 6 \, q^{12} t^{3} + 5 \, q^{11} t^{4} - 11 \, q^{10} t^{5} + 37 \, q^{11} t^{3} + 101 \, q^{10} t^{4} + 58 \, q^{9} t^{5} - 9 \, q^{10} t^{3} - 27 \, q^{9} t^{4} - 44 \, q^{8} t^{5} + 3 \, q^{7} t^{6} - 25 \, q^{8} t^{4} - 43 \, q^{7} t^{5} - 6 \, q^{6} t^{6} + 3 \, q^{7} t^{4} + 9 \, q^{6} t^{5} - 12 \, q^{5} t^{6} + 10 \, q^{5} t^{5} + 31 \, q^{4} t^{6} + q^{4} t^{5} - 7 \, q^{3} t^{6} - 2 \, q^{2} t^{6} - t^{7}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 5], [0, 6], [1, 4], [1, 6], [2, 3], [2, 4], [2, 6], [3, 5], [3, 6], [4, 5]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 2 \, q^{15} t + 4 \, q^{14} t - q^{13} t^{2} - 24 \, q^{13} t - 4 \, q^{12} t^{2} + 14 \, q^{12} t - 3 \, q^{11} t^{2} - 4 \, q^{10} t^{3} + 24 \, q^{10} t^{2} + 18 \, q^{9} t^{3} - q^{10} t + 8 \, q^{9} t^{2} - 8 \, q^{8} t^{3} + q^{7} t^{4} - 18 \, q^{8} t^{2} - 24 \, q^{7} t^{3} + 4 \, q^{7} t^{2} + 3 \, q^{6} t^{3} - 14 \, q^{5} t^{4} + 4 \, q^{5} t^{3} + 24 \, q^{4} t^{4} + q^{4} t^{3} - 4 \, q^{3} t^{4} - 2 \, q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 5], [0, 6], [1, 4], [1, 6], [2, 3], [2, 4], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{19} + q^{18} t + q^{17} t - q^{16} t^{2} + 7 \, q^{16} t - 3 \, q^{15} t^{2} - 38 \, q^{15} t - 13 \, q^{14} t^{2} - 3 \, q^{13} t^{3} + 28 \, q^{14} t + 27 \, q^{13} t^{2} + 15 \, q^{12} t^{3} - 4 \, q^{13} t + 10 \, q^{12} t^{2} + 15 \, q^{11} t^{3} + 11 \, q^{10} t^{4} - q^{12} t + 23 \, q^{11} t^{2} - 37 \, q^{10} t^{3} - 39 \, q^{9} t^{4} - 39 \, q^{10} t^{2} - 37 \, q^{9} t^{3} + 23 \, q^{8} t^{4} - q^{7} t^{5} + 11 \, q^{9} t^{2} + 15 \, q^{8} t^{3} + 10 \, q^{7} t^{4} - 4 \, q^{6} t^{5} + 15 \, q^{7} t^{3} + 27 \, q^{6} t^{4} + 28 \, q^{5} t^{5} - 3 \, q^{6} t^{3} - 13 \, q^{5} t^{4} - 38 \, q^{4} t^{5} - 3 \, q^{4} t^{4} + 7 \, q^{3} t^{5} - q^{3} t^{4} + q^{2} t^{5} + q t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 6], [1, 4], [1, 5], [2, 3], [2, 4], [2, 5], [3, 4], [3, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{21} t + q^{21} - 2 \, q^{20} t - 2 \, q^{18} t^{2} + 2 \, q^{18} t - 4 \, q^{17} t + 4 \, q^{16} t^{2} - q^{15} t^{3} - 12 \, q^{16} t + 5 \, q^{15} t^{2} + 8 \, q^{14} t^{3} + 12 \, q^{15} t - 13 \, q^{14} t^{2} - 3 \, q^{13} t^{3} - 3 \, q^{14} t + 33 \, q^{13} t^{2} - 12 \, q^{12} t^{3} + 2 \, q^{11} t^{4} - 6 \, q^{12} t^{2} - 2 \, q^{11} t^{3} - 8 \, q^{10} t^{4} - 8 \, q^{11} t^{2} - 2 \, q^{10} t^{3} - 6 \, q^{9} t^{4} + 2 \, q^{10} t^{2} - 12 \, q^{9} t^{3} + 33 \, q^{8} t^{4} - 3 \, q^{7} t^{5} - 3 \, q^{8} t^{3} - 13 \, q^{7} t^{4} + 12 \, q^{6} t^{5} + 8 \, q^{7} t^{3} + 5 \, q^{6} t^{4} - 12 \, q^{5} t^{5} - q^{6} t^{3} + 4 \, q^{5} t^{4} - 4 \, q^{4} t^{5} + 2 \, q^{3} t^{5} - 2 \, q^{3} t^{4} - 2 \, q t^{5} + t^{6} + t^{5}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[1, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{24} + q^{23} t - q^{22} t - q^{21} t^{2} + 2 \, q^{21} t - 2 \, q^{20} t^{2} - 12 \, q^{20} t - 2 \, q^{19} t^{2} - 2 \, q^{18} t^{3} - 4 \, q^{19} t + 7 \, q^{18} t^{2} + 15 \, q^{17} t^{3} + 10 \, q^{18} t - 9 \, q^{16} t^{3} + q^{15} t^{4} - 3 \, q^{17} t + 52 \, q^{16} t^{2} + 9 \, q^{15} t^{3} + 2 \, q^{14} t^{4} - 35 \, q^{15} t^{2} - 46 \, q^{14} t^{3} - 35 \, q^{13} t^{4} + 6 \, q^{13} t^{3} + 40 \, q^{12} t^{4} - 2 \, q^{11} t^{5} + 2 \, q^{13} t^{2} - 40 \, q^{12} t^{3} - 6 \, q^{11} t^{4} + 35 \, q^{11} t^{3} + 46 \, q^{10} t^{4} + 35 \, q^{9} t^{5} - 2 \, q^{10} t^{3} - 9 \, q^{9} t^{4} - 52 \, q^{8} t^{5} + 3 \, q^{7} t^{6} - q^{9} t^{3} + 9 \, q^{8} t^{4} - 10 \, q^{6} t^{6} - 15 \, q^{7} t^{4} - 7 \, q^{6} t^{5} + 4 \, q^{5} t^{6} + 2 \, q^{6} t^{4} + 2 \, q^{5} t^{5} + 12 \, q^{4} t^{6} + 2 \, q^{4} t^{5} - 2 \, q^{3} t^{6} + q^{3} t^{5} + q^{2} t^{6} - q t^{6} - t^{7}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 6], [1, 4], [1, 5], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{21} + q^{20} t - q^{19} t - q^{18} t^{2} - q^{18} t - q^{17} t^{2} - 2 \, q^{17} t + q^{16} t^{2} - q^{15} t^{3} - 12 \, q^{16} t - 2 \, q^{15} t^{2} + 6 \, q^{14} t^{3} + 12 \, q^{15} t + 14 \, q^{14} t^{2} + 2 \, q^{13} t^{3} - 3 \, q^{14} t + 10 \, q^{13} t^{2} - 9 \, q^{12} t^{3} + 2 \, q^{11} t^{4} + q^{12} t^{2} - 8 \, q^{11} t^{3} - 9 \, q^{10} t^{4} - 9 \, q^{11} t^{2} - 8 \, q^{10} t^{3} + q^{9} t^{4} + 2 \, q^{10} t^{2} - 9 \, q^{9} t^{3} + 10 \, q^{8} t^{4} - 3 \, q^{7} t^{5} + 2 \, q^{8} t^{3} + 14 \, q^{7} t^{4} + 12 \, q^{6} t^{5} + 6 \, q^{7} t^{3} - 2 \, q^{6} t^{4} - 12 \, q^{5} t^{5} - q^{6} t^{3} + q^{5} t^{4} - 2 \, q^{4} t^{5} - q^{4} t^{4} - q^{3} t^{5} - q^{3} t^{4} - q^{2} t^{5} + q t^{5} + t^{6}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)} {\left(q^{2} - t\right)} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 6], [1, 4], [1, 5], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{22} + q^{21} t - 2 \, q^{20} t + 2 \, q^{19} t - 2 \, q^{18} t^{2} - 4 \, q^{18} t - 12 \, q^{17} t + 3 \, q^{16} t^{2} - q^{15} t^{3} + 12 \, q^{16} t - 4 \, q^{15} t^{2} + 8 \, q^{14} t^{3} - 3 \, q^{15} t + 30 \, q^{14} t^{2} - 3 \, q^{13} t^{3} - 6 \, q^{13} t^{2} - 6 \, q^{12} t^{3} + 2 \, q^{11} t^{4} - 8 \, q^{12} t^{2} - 16 \, q^{11} t^{3} - 8 \, q^{10} t^{4} + 2 \, q^{11} t^{2} - 6 \, q^{10} t^{3} - 6 \, q^{9} t^{4} - 3 \, q^{9} t^{3} + 30 \, q^{8} t^{4} - 3 \, q^{7} t^{5} + 8 \, q^{8} t^{3} - 4 \, q^{7} t^{4} + 12 \, q^{6} t^{5} - q^{7} t^{3} + 3 \, q^{6} t^{4} - 12 \, q^{5} t^{5} - 4 \, q^{4} t^{5} - 2 \, q^{4} t^{4} + 2 \, q^{3} t^{5} - 2 \, q^{2} t^{5} + q t^{5} + t^{6}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 6], [1, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{13} t + q^{13} - 2 \, q^{12} t - 2 \, q^{10} t^{2} + 2 \, q^{10} t + 2 \, q^{9} t^{2} - 6 \, q^{9} t + 2 \, q^{8} t^{2} - q^{7} t^{3} - 2 \, q^{8} t + q^{7} t^{2} + 4 \, q^{6} t^{3} + 4 \, q^{7} t + q^{6} t^{2} - 2 \, q^{5} t^{3} - q^{6} t + 2 \, q^{5} t^{2} - 6 \, q^{4} t^{3} + 2 \, q^{4} t^{2} + 2 \, q^{3} t^{3} - 2 \, q^{3} t^{2} - 2 \, q t^{3} + t^{4} + t^{3}}{{\left(q^{3} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[1, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{13} + q^{12} t - q^{11} t - q^{10} t^{2} - q^{10} t - q^{9} t^{2} - 4 \, q^{9} t + 3 \, q^{8} t^{2} - q^{7} t^{3} - 2 \, q^{8} t + 2 \, q^{7} t^{2} + 4 \, q^{6} t^{3} + 4 \, q^{7} t + 2 \, q^{6} t^{2} - 2 \, q^{5} t^{3} - q^{6} t + 3 \, q^{5} t^{2} - 4 \, q^{4} t^{3} - q^{4} t^{2} - q^{3} t^{3} - q^{3} t^{2} - q^{2} t^{3} + q t^{3} + t^{4}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 6], [1, 4], [1, 5], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + q^{16} t - 2 \, q^{15} t + 3 \, q^{14} t - 3 \, q^{13} t^{2} - 10 \, q^{13} t + 2 \, q^{12} t^{2} + 3 \, q^{11} t^{2} - q^{10} t^{3} + 4 \, q^{11} t + 2 \, q^{10} t^{2} + 12 \, q^{9} t^{3} - q^{10} t + 17 \, q^{9} t^{2} - 17 \, q^{8} t^{3} + q^{7} t^{4} - 12 \, q^{8} t^{2} - 2 \, q^{7} t^{3} - 4 \, q^{6} t^{4} + q^{7} t^{2} - 3 \, q^{6} t^{3} - 2 \, q^{5} t^{3} + 10 \, q^{4} t^{4} + 3 \, q^{4} t^{3} - 3 \, q^{3} t^{4} + 2 \, q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 6], [1, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + q^{13} t - 2 \, q^{12} t + 4 \, q^{11} t - 2 \, q^{10} t^{2} - 8 \, q^{10} t - 4 \, q^{9} t + q^{8} t^{2} - q^{7} t^{3} + 6 \, q^{8} t + 8 \, q^{7} t^{2} + 6 \, q^{6} t^{3} - q^{7} t + q^{6} t^{2} - 4 \, q^{5} t^{3} - 8 \, q^{4} t^{3} - 2 \, q^{4} t^{2} + 4 \, q^{3} t^{3} - 2 \, q^{2} t^{3} + q t^{3} + t^{4}}{{\left(q^{3} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 6], [1, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + q^{17} t - 2 \, q^{16} t + 2 \, q^{15} t - 2 \, q^{14} t^{2} - 5 \, q^{14} t + q^{13} t^{2} - 6 \, q^{13} t + q^{12} t^{2} - q^{11} t^{3} + 6 \, q^{12} t + 2 \, q^{11} t^{2} + 6 \, q^{10} t^{3} - q^{11} t + 13 \, q^{10} t^{2} - 13 \, q^{8} t^{3} + q^{7} t^{4} - 6 \, q^{8} t^{2} - 2 \, q^{7} t^{3} - 6 \, q^{6} t^{4} + q^{7} t^{2} - q^{6} t^{3} + 6 \, q^{5} t^{4} - q^{5} t^{3} + 5 \, q^{4} t^{4} + 2 \, q^{4} t^{3} - 2 \, q^{3} t^{4} + 2 \, q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 6], [1, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + q^{13} t - 2 \, q^{12} t + 2 \, q^{11} t - 2 \, q^{10} t^{2} - 6 \, q^{10} t + 2 \, q^{9} t^{2} - 2 \, q^{9} t + q^{8} t^{2} - q^{7} t^{3} + 4 \, q^{8} t + 4 \, q^{7} t^{2} + 4 \, q^{6} t^{3} - q^{7} t + q^{6} t^{2} - 2 \, q^{5} t^{3} + 2 \, q^{5} t^{2} - 6 \, q^{4} t^{3} - 2 \, q^{4} t^{2} + 2 \, q^{3} t^{3} - 2 \, q^{2} t^{3} + q t^{3} + t^{4}}{{\left(q^{3} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 6], [1, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{19} + 3 \, q^{17} t + 2 \, q^{16} t - 3 \, q^{15} t^{2} - 26 \, q^{15} t - 16 \, q^{14} t^{2} + q^{13} t^{3} + 16 \, q^{14} t + 29 \, q^{13} t^{2} + 18 \, q^{12} t^{2} + 33 \, q^{11} t^{3} + 4 \, q^{10} t^{4} - q^{12} t - 44 \, q^{10} t^{3} - 17 \, q^{9} t^{4} - 17 \, q^{10} t^{2} - 44 \, q^{9} t^{3} - q^{7} t^{5} + 4 \, q^{9} t^{2} + 33 \, q^{8} t^{3} + 18 \, q^{7} t^{4} + 29 \, q^{6} t^{4} + 16 \, q^{5} t^{5} + q^{6} t^{3} - 16 \, q^{5} t^{4} - 26 \, q^{4} t^{5} - 3 \, q^{4} t^{4} + 2 \, q^{3} t^{5} + 3 \, q^{2} t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 5], [0, 6], [1, 4], [1, 6], [2, 3], [2, 4], [2, 5], [3, 4], [3, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{13} + q^{12} t - q^{11} t - q^{10} t^{2} + q^{10} t - q^{9} t^{2} - 8 \, q^{9} t + q^{8} t^{2} - q^{7} t^{3} + 4 \, q^{7} t^{2} + 4 \, q^{6} t^{3} + 4 \, q^{7} t + 4 \, q^{6} t^{2} - q^{6} t + q^{5} t^{2} - 8 \, q^{4} t^{3} - q^{4} t^{2} + q^{3} t^{3} - q^{3} t^{2} - q^{2} t^{3} + q t^{3} + t^{4}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 5], [1, 4], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{11} + 4 \, q^{9} t - 2 \, q^{8} t + q^{7} t^{2} - 10 \, q^{7} t - 4 \, q^{6} t^{2} + 2 \, q^{6} t - 2 \, q^{5} t^{2} + 4 \, q^{5} t + 10 \, q^{4} t^{2} - q^{4} t + 2 \, q^{3} t^{2} - 4 \, q^{2} t^{2} - t^{3}}{{\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 5], [0, 6], [1, 4], [1, 6], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 2 \, q^{15} t - q^{13} t^{2} - 12 \, q^{13} t - 4 \, q^{12} t^{2} + 2 \, q^{12} t - q^{11} t^{2} - 2 \, q^{10} t^{3} + 4 \, q^{11} t + 20 \, q^{10} t^{2} + 14 \, q^{9} t^{3} - q^{10} t + 8 \, q^{9} t^{2} - 8 \, q^{8} t^{3} + q^{7} t^{4} - 14 \, q^{8} t^{2} - 20 \, q^{7} t^{3} - 4 \, q^{6} t^{4} + 2 \, q^{7} t^{2} + q^{6} t^{3} - 2 \, q^{5} t^{4} + 4 \, q^{5} t^{3} + 12 \, q^{4} t^{4} + q^{4} t^{3} - 2 \, q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 5], [0, 6], [1, 4], [1, 6], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + 2 \, q^{12} t - q^{11} t - q^{10} t^{2} - 8 \, q^{10} t - 2 \, q^{9} t^{2} + 2 \, q^{8} t^{2} - q^{7} t^{3} + 4 \, q^{8} t + 8 \, q^{7} t^{2} + 4 \, q^{6} t^{3} - q^{7} t + 2 \, q^{6} t^{2} - 2 \, q^{5} t^{2} - 8 \, q^{4} t^{3} - q^{4} t^{2} - q^{3} t^{3} + 2 \, q^{2} t^{3} + t^{4}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 5], [0, 6], [1, 4], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 2 \, q^{15} t - 2 \, q^{14} t - q^{13} t^{2} - 8 \, q^{13} t - 4 \, q^{12} t^{2} + 5 \, q^{11} t^{2} - 2 \, q^{10} t^{3} + 4 \, q^{11} t + 8 \, q^{10} t^{2} + 14 \, q^{9} t^{3} - q^{10} t + 14 \, q^{9} t^{2} - 14 \, q^{8} t^{3} + q^{7} t^{4} - 14 \, q^{8} t^{2} - 8 \, q^{7} t^{3} - 4 \, q^{6} t^{4} + 2 \, q^{7} t^{2} - 5 \, q^{6} t^{3} + 4 \, q^{5} t^{3} + 8 \, q^{4} t^{4} + q^{4} t^{3} + 2 \, q^{3} t^{4} - 2 \, q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 5], [0, 6], [1, 4], [1, 6], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{22} + 2 \, q^{20} t - 3 \, q^{19} t - q^{18} t^{2} - 2 \, q^{17} t^{2} - 16 \, q^{17} t - 6 \, q^{16} t^{2} - q^{15} t^{3} + 14 \, q^{16} t + 16 \, q^{15} t^{2} + 8 \, q^{14} t^{3} - 3 \, q^{15} t + 19 \, q^{14} t^{2} + 8 \, q^{13} t^{3} - 6 \, q^{13} t^{2} - 32 \, q^{12} t^{3} - 5 \, q^{12} t^{2} + 14 \, q^{11} t^{3} - 5 \, q^{10} t^{4} - 32 \, q^{10} t^{3} - 6 \, q^{9} t^{4} + 8 \, q^{9} t^{3} + 19 \, q^{8} t^{4} - 3 \, q^{7} t^{5} + 8 \, q^{8} t^{3} + 16 \, q^{7} t^{4} + 14 \, q^{6} t^{5} - q^{7} t^{3} - 6 \, q^{6} t^{4} - 16 \, q^{5} t^{5} - 2 \, q^{5} t^{4} - q^{4} t^{4} - 3 \, q^{3} t^{5} + 2 \, q^{2} t^{5} + t^{6}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 5], [0, 6], [1, 4], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + 2 \, q^{12} t - 3 \, q^{11} t - q^{10} t^{2} - 4 \, q^{10} t - 2 \, q^{9} t^{2} - 2 \, q^{9} t + 6 \, q^{8} t^{2} - q^{7} t^{3} + 4 \, q^{8} t + 4 \, q^{6} t^{3} - q^{7} t + 6 \, q^{6} t^{2} - 2 \, q^{5} t^{3} - 2 \, q^{5} t^{2} - 4 \, q^{4} t^{3} - q^{4} t^{2} - 3 \, q^{3} t^{3} + 2 \, q^{2} t^{3} + t^{4}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 5], [0, 6], [1, 4], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + q^{16} t + q^{15} t - 10 \, q^{14} t - 3 \, q^{13} t^{2} - q^{12} t^{2} + 4 \, q^{12} t + 8 \, q^{11} t^{2} - q^{10} t^{3} - q^{11} t + 18 \, q^{10} t^{2} + 13 \, q^{9} t^{3} - 13 \, q^{9} t^{2} - 18 \, q^{8} t^{3} + q^{7} t^{4} + q^{8} t^{2} - 8 \, q^{7} t^{3} - 4 \, q^{6} t^{4} + q^{6} t^{3} + 3 \, q^{5} t^{3} + 10 \, q^{4} t^{4} - q^{3} t^{4} - q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 5], [0, 6], [1, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{23} + q^{21} t - 4 \, q^{19} t - 2 \, q^{18} t^{2} - 10 \, q^{18} t - 3 \, q^{17} t^{2} + 8 \, q^{17} t - 2 \, q^{16} t^{2} - q^{15} t^{3} - q^{16} t + 33 \, q^{15} t^{2} + 12 \, q^{14} t^{3} - 3 \, q^{14} t^{2} - 3 \, q^{13} t^{3} - 8 \, q^{13} t^{2} - 18 \, q^{12} t^{3} - 18 \, q^{11} t^{3} - 8 \, q^{10} t^{4} - 3 \, q^{10} t^{3} - 3 \, q^{9} t^{4} + 12 \, q^{9} t^{3} + 33 \, q^{8} t^{4} - q^{7} t^{5} - q^{8} t^{3} - 2 \, q^{7} t^{4} + 8 \, q^{6} t^{5} - 3 \, q^{6} t^{4} - 10 \, q^{5} t^{5} - 2 \, q^{5} t^{4} - 4 \, q^{4} t^{5} + q^{2} t^{5} + t^{6}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 5], [0, 6], [1, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{19} + q^{17} t - 5 \, q^{15} t - 2 \, q^{14} t^{2} - 6 \, q^{14} t + 6 \, q^{13} t - 2 \, q^{12} t^{2} - q^{11} t^{3} - q^{12} t + 22 \, q^{11} t^{2} + 6 \, q^{10} t^{3} - 3 \, q^{10} t^{2} + 3 \, q^{9} t^{3} - 6 \, q^{9} t^{2} - 22 \, q^{8} t^{3} + q^{7} t^{4} + q^{8} t^{2} + 2 \, q^{7} t^{3} - 6 \, q^{6} t^{4} + 6 \, q^{5} t^{4} + 2 \, q^{5} t^{3} + 5 \, q^{4} t^{4} - q^{2} t^{4} - t^{5}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 5], [0, 6], [1, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + q^{18} t - 6 \, q^{16} t - 2 \, q^{15} t^{2} - q^{15} t + q^{14} t^{2} + q^{13} t^{2} - q^{12} t^{3} + q^{13} t + 4 \, q^{12} t^{2} + 4 \, q^{11} t^{3} + 13 \, q^{11} t^{2} + 4 \, q^{10} t^{3} - 4 \, q^{10} t^{2} - 13 \, q^{9} t^{3} - 4 \, q^{9} t^{2} - 4 \, q^{8} t^{3} - q^{7} t^{4} + q^{8} t^{2} - q^{7} t^{3} - q^{6} t^{3} + q^{5} t^{4} + 2 \, q^{5} t^{3} + 6 \, q^{4} t^{4} - q^{2} t^{4} - t^{5}}{{\left(q^{5} - t\right)} {\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 5], [0, 6], [1, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + q^{13} t - 6 \, q^{11} t - 2 \, q^{10} t^{2} - 2 \, q^{10} t + q^{9} t^{2} + 4 \, q^{9} t + 4 \, q^{8} t^{2} - q^{7} t^{3} - q^{8} t + 4 \, q^{7} t^{2} + 4 \, q^{6} t^{3} + q^{6} t^{2} - 2 \, q^{5} t^{3} - 2 \, q^{5} t^{2} - 6 \, q^{4} t^{3} + q^{2} t^{3} + t^{4}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 15 edges: | [[0, 5], [0, 6], [1, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{11} + 6 \, q^{10} t - 4 \, q^{9} t^{2} - 2 \, q^{8} t^{3} + q^{7} t^{4} - 8 \, q^{9} t - 10 \, q^{8} t^{2} + 10 \, q^{7} t^{3} - 8 \, q^{8} t + 22 \, q^{7} t^{2} + 2 \, q^{6} t^{3} - 6 \, q^{5} t^{4} + 12 \, q^{6} t^{2} - 12 \, q^{5} t^{3} + 6 \, q^{6} t - 2 \, q^{5} t^{2} - 22 \, q^{4} t^{3} + 8 \, q^{3} t^{4} - 10 \, q^{4} t^{2} + 10 \, q^{3} t^{3} + 8 \, q^{2} t^{4} - q^{4} t + 2 \, q^{3} t^{2} + 4 \, q^{2} t^{3} - 6 \, q t^{4} - t^{5}}{{\left(q - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[0, 4], [1, 6], [2, 3], [2, 5], [3, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{13} + 2 \, q^{12} t - q^{11} t^{2} - 4 \, q^{10} t^{2} - 2 \, q^{9} t^{3} - 10 \, q^{10} t + 3 \, q^{9} t^{2} + 10 \, q^{8} t^{3} + q^{7} t^{4} + 8 \, q^{8} t^{2} - 4 \, q^{7} t^{3} - 2 \, q^{6} t^{4} + 2 \, q^{8} t + 8 \, q^{7} t^{2} - 8 \, q^{6} t^{3} - 2 \, q^{5} t^{4} + 2 \, q^{7} t + 4 \, q^{6} t^{2} - 8 \, q^{5} t^{3} - q^{6} t - 10 \, q^{5} t^{2} - 3 \, q^{4} t^{3} + 10 \, q^{3} t^{4} + 2 \, q^{4} t^{2} + 4 \, q^{3} t^{3} + q^{2} t^{3} - 2 \, q t^{4} - t^{5}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 4], [1, 6], [2, 3], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + q^{13} t + 3 \, q^{12} t - 3 \, q^{11} t^{2} - 8 \, q^{11} t - 3 \, q^{10} t^{2} - q^{9} t^{3} - 10 \, q^{10} t + 2 \, q^{9} t^{2} + 7 \, q^{8} t^{3} + q^{7} t^{4} + 10 \, q^{9} t + 26 \, q^{8} t^{2} + 6 \, q^{7} t^{3} - 6 \, q^{7} t^{2} - 26 \, q^{6} t^{3} - 10 \, q^{5} t^{4} - q^{7} t - 7 \, q^{6} t^{2} - 2 \, q^{5} t^{3} + 10 \, q^{4} t^{4} + q^{5} t^{2} + 3 \, q^{4} t^{3} + 8 \, q^{3} t^{4} + 3 \, q^{3} t^{3} - 3 \, q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 4], [1, 5], [1, 6], [2, 3], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{22} + 3 \, q^{21} t - 3 \, q^{20} t^{2} + q^{19} t^{3} + 3 \, q^{20} t - 11 \, q^{19} t^{2} - 5 \, q^{18} t^{3} + 5 \, q^{17} t^{4} - 24 \, q^{19} t - 13 \, q^{18} t^{2} + 51 \, q^{17} t^{3} - 13 \, q^{16} t^{4} - 3 \, q^{15} t^{5} - 4 \, q^{18} t + 60 \, q^{17} t^{2} + 21 \, q^{16} t^{3} - q^{15} t^{4} - 19 \, q^{14} t^{5} + q^{13} t^{6} + 22 \, q^{17} t + 63 \, q^{16} t^{2} - 113 \, q^{15} t^{3} - 151 \, q^{14} t^{4} + 69 \, q^{13} t^{5} + 10 \, q^{12} t^{6} - 10 \, q^{16} t - 60 \, q^{15} t^{2} - 99 \, q^{14} t^{3} + 141 \, q^{13} t^{4} + 33 \, q^{12} t^{5} + 3 \, q^{11} t^{6} - 2 \, q^{10} t^{7} + q^{15} t - 7 \, q^{14} t^{2} - 29 \, q^{13} t^{3} + 262 \, q^{12} t^{4} + 37 \, q^{11} t^{5} - 103 \, q^{10} t^{6} - 5 \, q^{9} t^{7} + 5 \, q^{13} t^{2} + 103 \, q^{12} t^{3} - 37 \, q^{11} t^{4} - 262 \, q^{10} t^{5} + 29 \, q^{9} t^{6} + 7 \, q^{8} t^{7} - q^{7} t^{8} + 2 \, q^{12} t^{2} - 3 \, q^{11} t^{3} - 33 \, q^{10} t^{4} - 141 \, q^{9} t^{5} + 99 \, q^{8} t^{6} + 60 \, q^{7} t^{7} + 10 \, q^{6} t^{8} - 10 \, q^{10} t^{3} - 69 \, q^{9} t^{4} + 151 \, q^{8} t^{5} + 113 \, q^{7} t^{6} - 63 \, q^{6} t^{7} - 22 \, q^{5} t^{8} - q^{9} t^{3} + 19 \, q^{8} t^{4} + q^{7} t^{5} - 21 \, q^{6} t^{6} - 60 \, q^{5} t^{7} + 4 \, q^{4} t^{8} + 3 \, q^{7} t^{4} + 13 \, q^{6} t^{5} - 51 \, q^{5} t^{6} + 13 \, q^{4} t^{7} + 24 \, q^{3} t^{8} - 5 \, q^{5} t^{5} + 5 \, q^{4} t^{6} + 11 \, q^{3} t^{7} - 3 \, q^{2} t^{8} - q^{3} t^{6} + 3 \, q^{2} t^{7} - 3 \, q t^{8} - t^{9}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[0, 4], [1, 5], [2, 3], [2, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + q^{19} t + 2 \, q^{18} t - 2 \, q^{17} t^{2} - 6 \, q^{17} t - q^{16} t^{2} - q^{15} t^{3} - 4 \, q^{16} t + 2 \, q^{15} t^{2} + 2 \, q^{14} t^{3} - 6 \, q^{15} t - 10 \, q^{14} t^{2} + 8 \, q^{13} t^{3} + 10 \, q^{14} t + 40 \, q^{13} t^{2} + 4 \, q^{12} t^{3} + 2 \, q^{11} t^{4} - 3 \, q^{13} t - 8 \, q^{12} t^{2} - 33 \, q^{11} t^{3} - 6 \, q^{10} t^{4} - 2 \, q^{11} t^{2} + 20 \, q^{10} t^{3} - 2 \, q^{9} t^{4} - 6 \, q^{10} t^{2} - 33 \, q^{9} t^{3} - 8 \, q^{8} t^{4} - 3 \, q^{7} t^{5} + 2 \, q^{9} t^{2} + 4 \, q^{8} t^{3} + 40 \, q^{7} t^{4} + 10 \, q^{6} t^{5} + 8 \, q^{7} t^{3} - 10 \, q^{6} t^{4} - 6 \, q^{5} t^{5} + 2 \, q^{6} t^{3} + 2 \, q^{5} t^{4} - 4 \, q^{4} t^{5} - q^{5} t^{3} - q^{4} t^{4} - 6 \, q^{3} t^{5} - 2 \, q^{3} t^{4} + 2 \, q^{2} t^{5} + q t^{5} + t^{6}}{{\left(q^{4} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 4], [1, 5], [1, 6], [2, 3], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{12} + q^{11} t + 2 \, q^{10} t - 2 \, q^{9} t^{2} - 6 \, q^{9} t - q^{8} t^{2} - q^{7} t^{3} - 6 \, q^{8} t + 4 \, q^{7} t^{2} + 2 \, q^{6} t^{3} + 4 \, q^{7} t + 4 \, q^{6} t^{2} + 4 \, q^{5} t^{3} + 2 \, q^{6} t + 4 \, q^{5} t^{2} - 6 \, q^{4} t^{3} - q^{5} t - q^{4} t^{2} - 6 \, q^{3} t^{3} - 2 \, q^{3} t^{2} + 2 \, q^{2} t^{3} + q t^{3} + t^{4}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 4], [1, 5], [1, 6], [2, 3], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 5 \, q^{15} t - 8 \, q^{14} t - q^{13} t^{2} - 5 \, q^{13} t - 6 \, q^{12} t^{2} - q^{11} t^{3} + q^{11} t^{2} + 2 \, q^{10} t^{3} + 4 \, q^{11} t + 24 \, q^{10} t^{2} + 7 \, q^{9} t^{3} - q^{10} t + q^{7} t^{4} - 7 \, q^{8} t^{2} - 24 \, q^{7} t^{3} - 4 \, q^{6} t^{4} - 2 \, q^{7} t^{2} - q^{6} t^{3} + q^{6} t^{2} + 6 \, q^{5} t^{3} + 5 \, q^{4} t^{4} + q^{4} t^{3} + 8 \, q^{3} t^{4} - 5 \, q^{2} t^{4} - t^{5}}{{\left(q^{4} - t\right)} {\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 4], [0, 6], [1, 5], [1, 6], [2, 3], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{13} + 5 \, q^{11} t - 8 \, q^{10} t - q^{9} t^{2} - 6 \, q^{9} t - 6 \, q^{8} t^{2} - q^{7} t^{3} + 4 \, q^{8} t + 10 \, q^{7} t^{2} + 2 \, q^{6} t^{3} + 2 \, q^{7} t + 10 \, q^{6} t^{2} + 4 \, q^{5} t^{3} - q^{6} t - 6 \, q^{5} t^{2} - 6 \, q^{4} t^{3} - q^{4} t^{2} - 8 \, q^{3} t^{3} + 5 \, q^{2} t^{3} + t^{4}}{{\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 4], [0, 6], [1, 5], [1, 6], [2, 3], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + q^{15} t - q^{14} t - q^{13} t^{2} + 2 \, q^{13} t - 2 \, q^{12} t^{2} - 14 \, q^{12} t - 2 \, q^{10} t^{3} + 6 \, q^{11} t + 11 \, q^{10} t^{2} + 13 \, q^{9} t^{3} + 2 \, q^{10} t - 2 \, q^{9} t^{2} - 15 \, q^{8} t^{3} + q^{7} t^{4} - q^{9} t + 15 \, q^{8} t^{2} + 2 \, q^{7} t^{3} - 2 \, q^{6} t^{4} - 13 \, q^{7} t^{2} - 11 \, q^{6} t^{3} - 6 \, q^{5} t^{4} + 2 \, q^{6} t^{2} + 14 \, q^{4} t^{4} + 2 \, q^{4} t^{3} - 2 \, q^{3} t^{4} + q^{3} t^{3} + q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 4], [1, 5], [1, 6], [2, 3], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{21} + 2 \, q^{19} t - q^{17} t^{2} - 13 \, q^{17} t - 4 \, q^{16} t^{2} + 2 \, q^{16} t - q^{15} t^{2} - 2 \, q^{14} t^{3} + 4 \, q^{15} t + 12 \, q^{14} t^{2} + 13 \, q^{13} t^{3} - q^{14} t + 32 \, q^{13} t^{2} + 2 \, q^{12} t^{3} + q^{11} t^{4} - 24 \, q^{12} t^{2} - 23 \, q^{11} t^{3} - 23 \, q^{10} t^{3} - 24 \, q^{9} t^{4} + q^{10} t^{2} + 2 \, q^{9} t^{3} + 32 \, q^{8} t^{4} - q^{7} t^{5} + 13 \, q^{8} t^{3} + 12 \, q^{7} t^{4} + 4 \, q^{6} t^{5} - 2 \, q^{7} t^{3} - q^{6} t^{4} + 2 \, q^{5} t^{5} - 4 \, q^{5} t^{4} - 13 \, q^{4} t^{5} - q^{4} t^{4} + 2 \, q^{2} t^{5} + t^{6}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 4], [0, 6], [1, 5], [1, 6], [2, 3], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + 2 \, q^{18} t + 9 \, q^{17} t - q^{16} t^{2} - 38 \, q^{16} t - 16 \, q^{15} t^{2} + 24 \, q^{15} t + 19 \, q^{14} t^{2} - q^{13} t^{3} - 2 \, q^{14} t + 8 \, q^{13} t^{2} + 16 \, q^{12} t^{3} - q^{13} t + 42 \, q^{12} t^{2} + 25 \, q^{11} t^{3} + 11 \, q^{10} t^{4} - 48 \, q^{11} t^{2} - 100 \, q^{10} t^{3} - 48 \, q^{9} t^{4} + 11 \, q^{10} t^{2} + 25 \, q^{9} t^{3} + 42 \, q^{8} t^{4} - q^{7} t^{5} + 16 \, q^{8} t^{3} + 8 \, q^{7} t^{4} - 2 \, q^{6} t^{5} - q^{7} t^{3} + 19 \, q^{6} t^{4} + 24 \, q^{5} t^{5} - 16 \, q^{5} t^{4} - 38 \, q^{4} t^{5} - q^{4} t^{4} + 9 \, q^{3} t^{5} + 2 \, q^{2} t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 4], [0, 5], [1, 5], [1, 6], [2, 3], [2, 5], [2, 6], [3, 4], [3, 6], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + 2 \, q^{18} t + 5 \, q^{17} t - q^{16} t^{2} - 28 \, q^{16} t - 8 \, q^{15} t^{2} + 16 \, q^{15} t - 5 \, q^{14} t^{2} - 3 \, q^{13} t^{3} + 44 \, q^{13} t^{2} + 22 \, q^{12} t^{3} - q^{13} t + 6 \, q^{12} t^{2} + 7 \, q^{11} t^{3} + 7 \, q^{10} t^{4} - 28 \, q^{11} t^{2} - 72 \, q^{10} t^{3} - 28 \, q^{9} t^{4} + 7 \, q^{10} t^{2} + 7 \, q^{9} t^{3} + 6 \, q^{8} t^{4} - q^{7} t^{5} + 22 \, q^{8} t^{3} + 44 \, q^{7} t^{4} - 3 \, q^{7} t^{3} - 5 \, q^{6} t^{4} + 16 \, q^{5} t^{5} - 8 \, q^{5} t^{4} - 28 \, q^{4} t^{5} - q^{4} t^{4} + 5 \, q^{3} t^{5} + 2 \, q^{2} t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 4], [0, 6], [1, 5], [1, 6], [2, 3], [2, 4], [2, 6], [3, 5], [3, 6], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + q^{15} t + q^{14} t - q^{13} t^{2} + 2 \, q^{13} t - 2 \, q^{12} t^{2} - 22 \, q^{12} t - 4 \, q^{11} t^{2} - 4 \, q^{10} t^{3} + 14 \, q^{11} t + 9 \, q^{10} t^{2} + 17 \, q^{9} t^{3} + 14 \, q^{9} t^{2} - 7 \, q^{8} t^{3} + q^{7} t^{4} - q^{9} t + 7 \, q^{8} t^{2} - 14 \, q^{7} t^{3} - 17 \, q^{7} t^{2} - 9 \, q^{6} t^{3} - 14 \, q^{5} t^{4} + 4 \, q^{6} t^{2} + 4 \, q^{5} t^{3} + 22 \, q^{4} t^{4} + 2 \, q^{4} t^{3} - 2 \, q^{3} t^{4} + q^{3} t^{3} - q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{19} + 3 \, q^{17} t - 2 \, q^{16} t - 3 \, q^{15} t^{2} - 16 \, q^{15} t - 10 \, q^{14} t^{2} + q^{13} t^{3} + 8 \, q^{14} t + 19 \, q^{13} t^{2} - 2 \, q^{12} t^{3} + 2 \, q^{13} t + 20 \, q^{12} t^{2} + 33 \, q^{11} t^{3} + 4 \, q^{10} t^{4} - q^{12} t + 2 \, q^{11} t^{2} - 42 \, q^{10} t^{3} - 17 \, q^{9} t^{4} - 17 \, q^{10} t^{2} - 42 \, q^{9} t^{3} + 2 \, q^{8} t^{4} - q^{7} t^{5} + 4 \, q^{9} t^{2} + 33 \, q^{8} t^{3} + 20 \, q^{7} t^{4} + 2 \, q^{6} t^{5} - 2 \, q^{7} t^{3} + 19 \, q^{6} t^{4} + 8 \, q^{5} t^{5} + q^{6} t^{3} - 10 \, q^{5} t^{4} - 16 \, q^{4} t^{5} - 3 \, q^{4} t^{4} - 2 \, q^{3} t^{5} + 3 \, q^{2} t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 4], [0, 6], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 2 \, q^{15} t + 4 \, q^{14} t - q^{13} t^{2} - 22 \, q^{13} t - 6 \, q^{12} t^{2} + 10 \, q^{12} t + q^{11} t^{2} - 4 \, q^{10} t^{3} + 2 \, q^{11} t + 18 \, q^{10} t^{2} + 22 \, q^{9} t^{3} - q^{10} t + 16 \, q^{9} t^{2} - 16 \, q^{8} t^{3} + q^{7} t^{4} - 22 \, q^{8} t^{2} - 18 \, q^{7} t^{3} - 2 \, q^{6} t^{4} + 4 \, q^{7} t^{2} - q^{6} t^{3} - 10 \, q^{5} t^{4} + 6 \, q^{5} t^{3} + 22 \, q^{4} t^{4} + q^{4} t^{3} - 4 \, q^{3} t^{4} - 2 \, q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 4], [0, 6], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + 2 \, q^{18} t + 5 \, q^{17} t - q^{16} t^{2} - 28 \, q^{16} t - 10 \, q^{15} t^{2} + 16 \, q^{15} t + 3 \, q^{14} t^{2} - 3 \, q^{13} t^{3} + 32 \, q^{13} t^{2} + 26 \, q^{12} t^{3} - q^{13} t + 14 \, q^{12} t^{2} - 9 \, q^{11} t^{3} + 7 \, q^{10} t^{4} - 30 \, q^{11} t^{2} - 48 \, q^{10} t^{3} - 30 \, q^{9} t^{4} + 7 \, q^{10} t^{2} - 9 \, q^{9} t^{3} + 14 \, q^{8} t^{4} - q^{7} t^{5} + 26 \, q^{8} t^{3} + 32 \, q^{7} t^{4} - 3 \, q^{7} t^{3} + 3 \, q^{6} t^{4} + 16 \, q^{5} t^{5} - 10 \, q^{5} t^{4} - 28 \, q^{4} t^{5} - q^{4} t^{4} + 5 \, q^{3} t^{5} + 2 \, q^{2} t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 4], [0, 5], [1, 5], [1, 6], [2, 3], [2, 4], [2, 6], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + 5 \, q^{14} t - 5 \, q^{13} t - 3 \, q^{12} t^{2} - 14 \, q^{12} t - 11 \, q^{11} t^{2} - q^{10} t^{3} + 8 \, q^{11} t + 22 \, q^{10} t^{2} + 7 \, q^{9} t^{3} + 2 \, q^{10} t + 12 \, q^{9} t^{2} + 4 \, q^{8} t^{3} + q^{7} t^{4} - q^{9} t - 4 \, q^{8} t^{2} - 12 \, q^{7} t^{3} - 2 \, q^{6} t^{4} - 7 \, q^{7} t^{2} - 22 \, q^{6} t^{3} - 8 \, q^{5} t^{4} + q^{6} t^{2} + 11 \, q^{5} t^{3} + 14 \, q^{4} t^{4} + 3 \, q^{4} t^{3} + 5 \, q^{3} t^{4} - 5 \, q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 4], [0, 5], [1, 5], [1, 6], [2, 3], [2, 4], [2, 6], [3, 4], [3, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 2 \, q^{15} t - q^{13} t^{2} - 12 \, q^{13} t - 6 \, q^{12} t^{2} + 2 \, q^{12} t + 7 \, q^{11} t^{2} - 2 \, q^{10} t^{3} + 4 \, q^{11} t + 8 \, q^{10} t^{2} + 16 \, q^{9} t^{3} - q^{10} t + 16 \, q^{9} t^{2} - 16 \, q^{8} t^{3} + q^{7} t^{4} - 16 \, q^{8} t^{2} - 8 \, q^{7} t^{3} - 4 \, q^{6} t^{4} + 2 \, q^{7} t^{2} - 7 \, q^{6} t^{3} - 2 \, q^{5} t^{4} + 6 \, q^{5} t^{3} + 12 \, q^{4} t^{4} + q^{4} t^{3} - 2 \, q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 4], [0, 5], [1, 5], [1, 6], [2, 3], [2, 4], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + 2 \, q^{16} t - 3 \, q^{15} t - q^{14} t^{2} - 3 \, q^{14} t - 2 \, q^{13} t^{2} - 6 \, q^{13} t + 2 \, q^{12} t^{2} - q^{11} t^{3} + 6 \, q^{12} t + 3 \, q^{11} t^{2} + 5 \, q^{10} t^{3} - q^{11} t + 16 \, q^{10} t^{2} + 4 \, q^{9} t^{3} - 4 \, q^{9} t^{2} - 16 \, q^{8} t^{3} + q^{7} t^{4} - 5 \, q^{8} t^{2} - 3 \, q^{7} t^{3} - 6 \, q^{6} t^{4} + q^{7} t^{2} - 2 \, q^{6} t^{3} + 6 \, q^{5} t^{4} + 2 \, q^{5} t^{3} + 3 \, q^{4} t^{4} + q^{4} t^{3} + 3 \, q^{3} t^{4} - 2 \, q^{2} t^{4} - t^{5}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 4], [0, 5], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + q^{13} t + 3 \, q^{12} t - 3 \, q^{11} t^{2} - 12 \, q^{11} t - 5 \, q^{10} t^{2} - q^{9} t^{3} + 2 \, q^{10} t + 14 \, q^{9} t^{2} + 13 \, q^{8} t^{3} + q^{7} t^{4} - 2 \, q^{9} t + 2 \, q^{8} t^{2} - 14 \, q^{7} t^{3} - 4 \, q^{6} t^{4} + 4 \, q^{8} t + 14 \, q^{7} t^{2} - 2 \, q^{6} t^{3} + 2 \, q^{5} t^{4} - q^{7} t - 13 \, q^{6} t^{2} - 14 \, q^{5} t^{3} - 2 \, q^{4} t^{4} + q^{5} t^{2} + 5 \, q^{4} t^{3} + 12 \, q^{3} t^{4} + 3 \, q^{3} t^{3} - 3 \, q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 4], [1, 4], [1, 6], [2, 3], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + 6 \, q^{13} t - 14 \, q^{12} t - 4 \, q^{11} t^{2} + 2 \, q^{11} t - 10 \, q^{10} t^{2} - 2 \, q^{10} t + 34 \, q^{9} t^{2} + 8 \, q^{8} t^{3} + q^{7} t^{4} + 4 \, q^{9} t - 2 \, q^{8} t^{2} + 2 \, q^{7} t^{3} - 4 \, q^{6} t^{4} - q^{8} t - 8 \, q^{7} t^{2} - 34 \, q^{6} t^{3} + 2 \, q^{5} t^{4} + 10 \, q^{5} t^{3} - 2 \, q^{4} t^{4} + 4 \, q^{4} t^{3} + 14 \, q^{3} t^{4} - 6 \, q^{2} t^{4} - t^{5}}{{\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 4], [0, 6], [1, 4], [1, 6], [2, 3], [2, 5], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + 5 \, q^{14} t - 9 \, q^{13} t - q^{12} t^{2} - 4 \, q^{12} t - 15 \, q^{11} t^{2} - q^{10} t^{3} + 28 \, q^{10} t^{2} + 7 \, q^{9} t^{3} + 4 \, q^{10} t + 4 \, q^{9} t^{2} + q^{7} t^{4} - q^{9} t - 4 \, q^{7} t^{3} - 4 \, q^{6} t^{4} - 7 \, q^{7} t^{2} - 28 \, q^{6} t^{3} + q^{6} t^{2} + 15 \, q^{5} t^{3} + 4 \, q^{4} t^{4} + q^{4} t^{3} + 9 \, q^{3} t^{4} - 5 \, q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 4], [0, 6], [1, 4], [1, 6], [2, 3], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{13} + 5 \, q^{11} t - 10 \, q^{10} t - q^{9} t^{2} - 6 \, q^{8} t^{2} - q^{7} t^{3} - 2 \, q^{8} t + 10 \, q^{7} t^{2} + 4 \, q^{6} t^{3} + 4 \, q^{7} t + 10 \, q^{6} t^{2} - 2 \, q^{5} t^{3} - q^{6} t - 6 \, q^{5} t^{2} - q^{4} t^{2} - 10 \, q^{3} t^{3} + 5 \, q^{2} t^{3} + t^{4}}{{\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 4], [0, 6], [1, 4], [1, 6], [2, 3], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{13} + 5 \, q^{11} t - 8 \, q^{10} t - 3 \, q^{9} t^{2} - 4 \, q^{9} t - 2 \, q^{8} t^{2} - q^{7} t^{3} + 8 \, q^{7} t^{2} + 4 \, q^{6} t^{3} + 4 \, q^{7} t + 8 \, q^{6} t^{2} - q^{6} t - 2 \, q^{5} t^{2} - 4 \, q^{4} t^{3} - 3 \, q^{4} t^{2} - 8 \, q^{3} t^{3} + 5 \, q^{2} t^{3} + t^{4}}{{\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 4], [0, 6], [1, 4], [1, 5], [2, 3], [2, 5], [2, 6], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{11} + 4 \, q^{9} t - 4 \, q^{8} t + q^{7} t^{2} - 6 \, q^{7} t - 4 \, q^{6} t^{2} + 4 \, q^{5} t + 6 \, q^{4} t^{2} - q^{4} t + 4 \, q^{3} t^{2} - 4 \, q^{2} t^{2} - t^{3}}{{\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 4], [0, 6], [1, 4], [1, 5], [2, 3], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{13} + 5 \, q^{11} t - 6 \, q^{10} t - q^{9} t^{2} - 10 \, q^{9} t - 8 \, q^{8} t^{2} - q^{7} t^{3} + 6 \, q^{8} t + 12 \, q^{7} t^{2} + 2 \, q^{6} t^{3} + 2 \, q^{7} t + 12 \, q^{6} t^{2} + 6 \, q^{5} t^{3} - q^{6} t - 8 \, q^{5} t^{2} - 10 \, q^{4} t^{3} - q^{4} t^{2} - 6 \, q^{3} t^{3} + 5 \, q^{2} t^{3} + t^{4}}{{\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 4], [0, 5], [1, 4], [1, 6], [2, 3], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + q^{16} t + q^{15} t - 8 \, q^{14} t - 3 \, q^{13} t^{2} - 4 \, q^{13} t - 3 \, q^{12} t^{2} + 6 \, q^{12} t + 8 \, q^{11} t^{2} - q^{10} t^{3} - q^{11} t + 24 \, q^{10} t^{2} + 17 \, q^{9} t^{3} - 17 \, q^{9} t^{2} - 24 \, q^{8} t^{3} + q^{7} t^{4} + q^{8} t^{2} - 8 \, q^{7} t^{3} - 6 \, q^{6} t^{4} + 3 \, q^{6} t^{3} + 4 \, q^{5} t^{4} + 3 \, q^{5} t^{3} + 8 \, q^{4} t^{4} - q^{3} t^{4} - q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 4], [0, 5], [1, 4], [1, 5], [1, 6], [2, 3], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + 5 \, q^{13} t - 12 \, q^{12} t - q^{10} t^{2} + 4 \, q^{10} t - 8 \, q^{9} t^{2} - q^{9} t + 24 \, q^{8} t^{2} - q^{7} t^{3} - 8 \, q^{7} t^{2} + 4 \, q^{6} t^{3} - q^{6} t^{2} - 12 \, q^{4} t^{3} + 5 \, q^{3} t^{3} + t^{4}}{{\left(q^{3} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 15 edges: | [[0, 4], [0, 5], [0, 6], [1, 4], [1, 5], [1, 6], [2, 3], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{21} + 5 \, q^{18} t - 12 \, q^{17} t + q^{16} t - q^{15} t^{2} - 8 \, q^{14} t^{2} + q^{14} t + 13 \, q^{13} t^{2} - q^{12} t^{3} + 16 \, q^{12} t^{2} + 4 \, q^{11} t^{3} - 7 \, q^{11} t^{2} + 7 \, q^{10} t^{3} - 4 \, q^{10} t^{2} - 16 \, q^{9} t^{3} + q^{9} t^{2} - 13 \, q^{8} t^{3} - q^{7} t^{4} + 8 \, q^{7} t^{3} + q^{6} t^{3} - q^{5} t^{4} + 12 \, q^{4} t^{4} - 5 \, q^{3} t^{4} - t^{5}}{{\left(q^{5} - t\right)} {\left(q^{3} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 4], [0, 5], [0, 6], [1, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{21} + 4 \, q^{18} t - 4 \, q^{17} t - 14 \, q^{16} t + q^{15} t^{2} + 10 \, q^{15} t - 24 \, q^{14} t^{2} - q^{14} t + 43 \, q^{13} t^{2} - 6 \, q^{12} t^{2} + 4 \, q^{11} t^{3} - 4 \, q^{10} t^{2} + 6 \, q^{9} t^{3} - 43 \, q^{8} t^{3} + q^{7} t^{4} + 24 \, q^{7} t^{3} - 10 \, q^{6} t^{4} - q^{6} t^{3} + 14 \, q^{5} t^{4} + 4 \, q^{4} t^{4} - 4 \, q^{3} t^{4} - t^{5}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 4], [0, 5], [0, 6], [1, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 4 \, q^{14} t - 7 \, q^{13} t - 4 \, q^{12} t + q^{11} t^{2} + 2 \, q^{11} t - 12 \, q^{10} t^{2} + q^{10} t + 14 \, q^{9} t^{2} + 14 \, q^{8} t^{2} + q^{7} t^{3} - 12 \, q^{7} t^{2} + 2 \, q^{6} t^{3} + q^{6} t^{2} - 4 \, q^{5} t^{3} - 7 \, q^{4} t^{3} + 4 \, q^{3} t^{3} + t^{4}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 4], [0, 5], [0, 6], [1, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + 4 \, q^{15} t - 8 \, q^{14} t - q^{13} t + q^{12} t^{2} - 4 \, q^{11} t^{2} + q^{11} t - 6 \, q^{10} t^{2} + 24 \, q^{9} t^{2} - 6 \, q^{8} t^{2} + q^{7} t^{3} - 4 \, q^{7} t^{2} + q^{6} t^{2} - q^{5} t^{3} - 8 \, q^{4} t^{3} + 4 \, q^{3} t^{3} + t^{4}}{{\left(q^{5} - t\right)} {\left(q^{3} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 15 edges: | [[0, 4], [0, 5], [0, 6], [1, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{13} + 4 \, q^{10} t - 8 \, q^{9} t - 2 \, q^{8} t + q^{7} t^{2} + 4 \, q^{7} t - 4 \, q^{6} t^{2} - q^{6} t + 2 \, q^{5} t^{2} + 8 \, q^{4} t^{2} - 4 \, q^{3} t^{2} - t^{3}}{{\left(q^{3} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 16 edges: | [[0, 4], [0, 5], [0, 6], [1, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{20} t - 3 \, q^{19} t^{2} - 3 \, q^{18} t^{3} + q^{17} t^{4} + q^{20} + 3 \, q^{19} t - 3 \, q^{18} t^{2} + 17 \, q^{17} t^{3} + 4 \, q^{16} t^{4} - 2 \, q^{15} t^{5} - 10 \, q^{18} t - 6 \, q^{17} t^{2} + 9 \, q^{16} t^{3} - 17 \, q^{15} t^{4} - q^{14} t^{5} + q^{13} t^{6} - 4 \, q^{17} t + 9 \, q^{16} t^{2} + q^{15} t^{3} - 43 \, q^{14} t^{4} - 7 \, q^{13} t^{5} + 4 \, q^{12} t^{6} - 10 \, q^{16} t + 72 \, q^{15} t^{2} - 45 \, q^{14} t^{3} + 23 \, q^{13} t^{4} + 83 \, q^{12} t^{5} - 5 \, q^{11} t^{6} - 2 \, q^{10} t^{7} + 18 \, q^{15} t - 23 \, q^{14} t^{2} - 37 \, q^{13} t^{3} + 37 \, q^{12} t^{4} - 23 \, q^{11} t^{5} - 8 \, q^{10} t^{6} - 8 \, q^{14} t - 5 \, q^{13} t^{2} - 115 \, q^{12} t^{3} + 115 \, q^{11} t^{4} - 56 \, q^{10} t^{5} - 81 \, q^{9} t^{6} + 7 \, q^{8} t^{7} - q^{7} t^{8} + q^{13} t - 7 \, q^{12} t^{2} + 81 \, q^{11} t^{3} + 56 \, q^{10} t^{4} - 115 \, q^{9} t^{5} + 115 \, q^{8} t^{6} + 5 \, q^{7} t^{7} + 8 \, q^{6} t^{8} + 8 \, q^{10} t^{3} + 23 \, q^{9} t^{4} - 37 \, q^{8} t^{5} + 37 \, q^{7} t^{6} + 23 \, q^{6} t^{7} - 18 \, q^{5} t^{8} + 2 \, q^{10} t^{2} + 5 \, q^{9} t^{3} - 83 \, q^{8} t^{4} - 23 \, q^{7} t^{5} + 45 \, q^{6} t^{6} - 72 \, q^{5} t^{7} + 10 \, q^{4} t^{8} - 4 \, q^{8} t^{3} + 7 \, q^{7} t^{4} + 43 \, q^{6} t^{5} - q^{5} t^{6} - 9 \, q^{4} t^{7} + 4 \, q^{3} t^{8} - q^{7} t^{3} + q^{6} t^{4} + 17 \, q^{5} t^{5} - 9 \, q^{4} t^{6} + 6 \, q^{3} t^{7} + 10 \, q^{2} t^{8} + 2 \, q^{5} t^{4} - 4 \, q^{4} t^{5} - 17 \, q^{3} t^{6} + 3 \, q^{2} t^{7} - 3 \, q t^{8} - t^{9} - q^{3} t^{5} + 3 \, q^{2} t^{6} + 3 \, q t^{7} - t^{8}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[1, 3], [2, 5], [2, 6], [3, 4], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{22} + q^{21} t + 4 \, q^{20} t - 4 \, q^{19} t^{2} - 10 \, q^{19} t - 8 \, q^{18} t^{2} - 2 \, q^{17} t^{3} - 22 \, q^{18} t - 18 \, q^{17} t^{2} + 32 \, q^{16} t^{3} + 2 \, q^{15} t^{4} + 28 \, q^{17} t + 115 \, q^{16} t^{2} + 7 \, q^{15} t^{3} + 11 \, q^{14} t^{4} - q^{13} t^{5} - 10 \, q^{16} t - 52 \, q^{15} t^{2} - 38 \, q^{14} t^{3} - 120 \, q^{13} t^{4} - 12 \, q^{12} t^{5} + q^{15} t - 3 \, q^{14} t^{2} - 154 \, q^{13} t^{3} + 104 \, q^{12} t^{4} + 34 \, q^{11} t^{5} + 4 \, q^{10} t^{6} - 6 \, q^{13} t^{2} + 78 \, q^{12} t^{3} + 76 \, q^{11} t^{4} + 78 \, q^{10} t^{5} - 6 \, q^{9} t^{6} + 4 \, q^{12} t^{2} + 34 \, q^{11} t^{3} + 104 \, q^{10} t^{4} - 154 \, q^{9} t^{5} - 3 \, q^{8} t^{6} + q^{7} t^{7} - 12 \, q^{10} t^{3} - 120 \, q^{9} t^{4} - 38 \, q^{8} t^{5} - 52 \, q^{7} t^{6} - 10 \, q^{6} t^{7} - q^{9} t^{3} + 11 \, q^{8} t^{4} + 7 \, q^{7} t^{5} + 115 \, q^{6} t^{6} + 28 \, q^{5} t^{7} + 2 \, q^{7} t^{4} + 32 \, q^{6} t^{5} - 18 \, q^{5} t^{6} - 22 \, q^{4} t^{7} - 2 \, q^{5} t^{5} - 8 \, q^{4} t^{6} - 10 \, q^{3} t^{7} - 4 \, q^{3} t^{6} + 4 \, q^{2} t^{7} + q t^{7} + t^{8}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{4} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 6], [1, 3], [1, 5], [2, 5], [2, 6], [3, 4], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{19} + 2 \, q^{18} t - q^{17} t^{2} + 2 \, q^{17} t - 4 \, q^{16} t^{2} - 2 \, q^{15} t^{3} - 12 \, q^{16} t - 3 \, q^{15} t^{2} + 8 \, q^{14} t^{3} + q^{13} t^{4} - 12 \, q^{15} t + 14 \, q^{13} t^{3} + 6 \, q^{12} t^{4} + 20 \, q^{14} t + 51 \, q^{13} t^{2} - 4 \, q^{12} t^{3} - 27 \, q^{11} t^{4} - 2 \, q^{10} t^{5} - 8 \, q^{13} t - 4 \, q^{12} t^{2} - 40 \, q^{11} t^{3} - 14 \, q^{10} t^{4} - 2 \, q^{9} t^{5} + q^{12} t - 22 \, q^{11} t^{2} - 45 \, q^{10} t^{3} + 45 \, q^{9} t^{4} + 22 \, q^{8} t^{5} - q^{7} t^{6} + 2 \, q^{10} t^{2} + 14 \, q^{9} t^{3} + 40 \, q^{8} t^{4} + 4 \, q^{7} t^{5} + 8 \, q^{6} t^{6} + 2 \, q^{9} t^{2} + 27 \, q^{8} t^{3} + 4 \, q^{7} t^{4} - 51 \, q^{6} t^{5} - 20 \, q^{5} t^{6} - 6 \, q^{7} t^{3} - 14 \, q^{6} t^{4} + 12 \, q^{4} t^{6} - q^{6} t^{3} - 8 \, q^{5} t^{4} + 3 \, q^{4} t^{5} + 12 \, q^{3} t^{6} + 2 \, q^{4} t^{4} + 4 \, q^{3} t^{5} - 2 \, q^{2} t^{6} + q^{2} t^{5} - 2 \, q t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 5], [1, 3], [2, 5], [2, 6], [3, 4], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + q^{15} t + 4 \, q^{14} t - 4 \, q^{13} t^{2} - 16 \, q^{13} t - 4 \, q^{12} t^{2} - 4 \, q^{11} t^{3} + 2 \, q^{12} t + 4 \, q^{11} t^{2} + 34 \, q^{10} t^{3} + 4 \, q^{9} t^{4} + 2 \, q^{11} t + 40 \, q^{10} t^{2} - 38 \, q^{9} t^{3} - 13 \, q^{8} t^{4} - q^{7} t^{5} + 2 \, q^{10} t - 12 \, q^{9} t^{2} - 4 \, q^{8} t^{3} - 12 \, q^{7} t^{4} + 2 \, q^{6} t^{5} - q^{9} t - 13 \, q^{8} t^{2} - 38 \, q^{7} t^{3} + 40 \, q^{6} t^{4} + 2 \, q^{5} t^{5} + 4 \, q^{7} t^{2} + 34 \, q^{6} t^{3} + 4 \, q^{5} t^{4} + 2 \, q^{4} t^{5} - 4 \, q^{5} t^{3} - 4 \, q^{4} t^{4} - 16 \, q^{3} t^{5} - 4 \, q^{3} t^{4} + 4 \, q^{2} t^{5} + q t^{5} + t^{6}}{{\left(q^{2} - t\right)}^{4} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 6], [1, 3], [1, 6], [2, 4], [2, 5], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + 2 \, q^{17} t - q^{16} t^{2} + q^{16} t - 6 \, q^{15} t^{2} - 3 \, q^{14} t^{3} - 13 \, q^{15} t - q^{14} t^{2} + 21 \, q^{13} t^{3} + 3 \, q^{12} t^{4} - 4 \, q^{14} t + 5 \, q^{13} t^{2} - 3 \, q^{12} t^{3} - 5 \, q^{11} t^{4} - q^{10} t^{5} + 8 \, q^{13} t + 62 \, q^{12} t^{2} - 9 \, q^{11} t^{3} - 30 \, q^{10} t^{4} - q^{9} t^{5} - 36 \, q^{11} t^{2} - 56 \, q^{10} t^{3} + 17 \, q^{9} t^{4} + 4 \, q^{8} t^{5} + q^{7} t^{6} - q^{11} t - 4 \, q^{10} t^{2} - 17 \, q^{9} t^{3} + 56 \, q^{8} t^{4} + 36 \, q^{7} t^{5} + q^{9} t^{2} + 30 \, q^{8} t^{3} + 9 \, q^{7} t^{4} - 62 \, q^{6} t^{5} - 8 \, q^{5} t^{6} + q^{8} t^{2} + 5 \, q^{7} t^{3} + 3 \, q^{6} t^{4} - 5 \, q^{5} t^{5} + 4 \, q^{4} t^{6} - 3 \, q^{6} t^{3} - 21 \, q^{5} t^{4} + q^{4} t^{5} + 13 \, q^{3} t^{6} + 3 \, q^{4} t^{4} + 6 \, q^{3} t^{5} - q^{2} t^{6} + q^{2} t^{5} - 2 \, q t^{6} - t^{7}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 5], [1, 3], [2, 4], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{21} + q^{20} t - 2 \, q^{18} t^{2} - 3 \, q^{18} t - 2 \, q^{17} t^{2} - q^{16} t^{3} - 12 \, q^{17} t - 6 \, q^{16} t^{2} + 8 \, q^{15} t^{3} + 6 \, q^{16} t + 29 \, q^{15} t^{2} + 8 \, q^{14} t^{3} + 3 \, q^{13} t^{4} + 2 \, q^{15} t + 12 \, q^{14} t^{2} - 10 \, q^{13} t^{3} - 10 \, q^{12} t^{4} - q^{14} t + 3 \, q^{13} t^{2} - 29 \, q^{12} t^{3} - 26 \, q^{11} t^{4} - 5 \, q^{10} t^{5} - 18 \, q^{12} t^{2} - 44 \, q^{11} t^{3} + 44 \, q^{10} t^{4} + 18 \, q^{9} t^{5} + 5 \, q^{11} t^{2} + 26 \, q^{10} t^{3} + 29 \, q^{9} t^{4} - 3 \, q^{8} t^{5} + q^{7} t^{6} + 10 \, q^{9} t^{3} + 10 \, q^{8} t^{4} - 12 \, q^{7} t^{5} - 2 \, q^{6} t^{6} - 3 \, q^{8} t^{3} - 8 \, q^{7} t^{4} - 29 \, q^{6} t^{5} - 6 \, q^{5} t^{6} - 8 \, q^{6} t^{4} + 6 \, q^{5} t^{5} + 12 \, q^{4} t^{6} + q^{5} t^{4} + 2 \, q^{4} t^{5} + 3 \, q^{3} t^{6} + 2 \, q^{3} t^{5} - q t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 6], [1, 3], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{19} + q^{18} t - q^{17} t - q^{16} t^{2} + 5 \, q^{16} t - 3 \, q^{15} t^{2} - 24 \, q^{15} t - 3 \, q^{14} t^{2} - q^{13} t^{3} + 14 \, q^{14} t + 15 \, q^{13} t^{2} + 11 \, q^{12} t^{3} + 6 \, q^{12} t^{2} + 3 \, q^{11} t^{3} + 7 \, q^{10} t^{4} - q^{12} t + 23 \, q^{11} t^{2} - 23 \, q^{10} t^{3} - 29 \, q^{9} t^{4} - 29 \, q^{10} t^{2} - 23 \, q^{9} t^{3} + 23 \, q^{8} t^{4} - q^{7} t^{5} + 7 \, q^{9} t^{2} + 3 \, q^{8} t^{3} + 6 \, q^{7} t^{4} + 11 \, q^{7} t^{3} + 15 \, q^{6} t^{4} + 14 \, q^{5} t^{5} - q^{6} t^{3} - 3 \, q^{5} t^{4} - 24 \, q^{4} t^{5} - 3 \, q^{4} t^{4} + 5 \, q^{3} t^{5} - q^{3} t^{4} - q^{2} t^{5} + q t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 6], [1, 3], [1, 5], [2, 4], [2, 5], [2, 6], [3, 4], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + q^{19} t + 3 \, q^{18} t - 3 \, q^{17} t^{2} - 6 \, q^{17} t - 5 \, q^{16} t^{2} - q^{15} t^{3} - 20 \, q^{16} t - 14 \, q^{15} t^{2} + 11 \, q^{14} t^{3} + q^{13} t^{4} + 18 \, q^{15} t + 63 \, q^{14} t^{2} + 27 \, q^{13} t^{3} + 6 \, q^{12} t^{4} - 2 \, q^{14} t + 2 \, q^{13} t^{2} - 39 \, q^{12} t^{3} - 41 \, q^{11} t^{4} - 4 \, q^{10} t^{5} - q^{13} t - 21 \, q^{12} t^{2} - 66 \, q^{11} t^{3} + q^{10} t^{4} + 5 \, q^{9} t^{5} - 5 \, q^{11} t^{2} - q^{10} t^{3} + 66 \, q^{9} t^{4} + 21 \, q^{8} t^{5} + q^{7} t^{6} + 4 \, q^{10} t^{2} + 41 \, q^{9} t^{3} + 39 \, q^{8} t^{4} - 2 \, q^{7} t^{5} + 2 \, q^{6} t^{6} - 6 \, q^{8} t^{3} - 27 \, q^{7} t^{4} - 63 \, q^{6} t^{5} - 18 \, q^{5} t^{6} - q^{7} t^{3} - 11 \, q^{6} t^{4} + 14 \, q^{5} t^{5} + 20 \, q^{4} t^{6} + q^{5} t^{4} + 5 \, q^{4} t^{5} + 6 \, q^{3} t^{6} + 3 \, q^{3} t^{5} - 3 \, q^{2} t^{6} - q t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 5], [1, 3], [1, 6], [2, 4], [2, 6], [3, 4], [3, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + q^{17} t - 2 \, q^{15} t^{2} - 2 \, q^{15} t - 3 \, q^{14} t^{2} + q^{13} t^{3} - 12 \, q^{14} t + 2 \, q^{13} t^{2} - 2 \, q^{12} t^{3} + 6 \, q^{13} t + 13 \, q^{12} t^{2} + 21 \, q^{11} t^{3} + 2 \, q^{10} t^{4} + 2 \, q^{12} t + 16 \, q^{11} t^{2} - 28 \, q^{10} t^{3} - 8 \, q^{9} t^{4} - q^{11} t - 5 \, q^{10} t^{2} - 4 \, q^{9} t^{3} - 5 \, q^{8} t^{4} - q^{7} t^{5} - 8 \, q^{9} t^{2} - 28 \, q^{8} t^{3} + 16 \, q^{7} t^{4} + 2 \, q^{6} t^{5} + 2 \, q^{8} t^{2} + 21 \, q^{7} t^{3} + 13 \, q^{6} t^{4} + 6 \, q^{5} t^{5} - 2 \, q^{6} t^{3} + 2 \, q^{5} t^{4} - 12 \, q^{4} t^{5} + q^{5} t^{3} - 3 \, q^{4} t^{4} - 2 \, q^{3} t^{5} - 2 \, q^{3} t^{4} + q t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 5], [1, 3], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 2 \, q^{15} t - q^{13} t^{2} - 14 \, q^{13} t - 4 \, q^{12} t^{2} + 6 \, q^{12} t + 3 \, q^{11} t^{2} - 2 \, q^{10} t^{3} + 2 \, q^{11} t + 14 \, q^{10} t^{2} + 12 \, q^{9} t^{3} - q^{10} t + 8 \, q^{9} t^{2} - 8 \, q^{8} t^{3} + q^{7} t^{4} - 12 \, q^{8} t^{2} - 14 \, q^{7} t^{3} - 2 \, q^{6} t^{4} + 2 \, q^{7} t^{2} - 3 \, q^{6} t^{3} - 6 \, q^{5} t^{4} + 4 \, q^{5} t^{3} + 14 \, q^{4} t^{4} + q^{4} t^{3} - 2 \, q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 5], [0, 6], [1, 3], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{22} + q^{21} t + 4 \, q^{20} t - 4 \, q^{19} t^{2} - 14 \, q^{19} t - 10 \, q^{18} t^{2} - 8 \, q^{18} t - 4 \, q^{17} t^{2} + 28 \, q^{16} t^{3} + 2 \, q^{15} t^{4} + 10 \, q^{17} t + 87 \, q^{16} t^{2} + 15 \, q^{15} t^{3} - 3 \, q^{14} t^{4} - q^{13} t^{5} - 32 \, q^{15} t^{2} - 76 \, q^{14} t^{3} - 84 \, q^{13} t^{4} - 8 \, q^{12} t^{5} - q^{15} t - 5 \, q^{14} t^{2} - 82 \, q^{13} t^{3} + 86 \, q^{12} t^{4} + 40 \, q^{11} t^{5} + 4 \, q^{10} t^{6} - 8 \, q^{13} t^{2} + 28 \, q^{12} t^{3} + 68 \, q^{11} t^{4} + 28 \, q^{10} t^{5} - 8 \, q^{9} t^{6} + 4 \, q^{12} t^{2} + 40 \, q^{11} t^{3} + 86 \, q^{10} t^{4} - 82 \, q^{9} t^{5} - 5 \, q^{8} t^{6} - q^{7} t^{7} - 8 \, q^{10} t^{3} - 84 \, q^{9} t^{4} - 76 \, q^{8} t^{5} - 32 \, q^{7} t^{6} - q^{9} t^{3} - 3 \, q^{8} t^{4} + 15 \, q^{7} t^{5} + 87 \, q^{6} t^{6} + 10 \, q^{5} t^{7} + 2 \, q^{7} t^{4} + 28 \, q^{6} t^{5} - 4 \, q^{5} t^{6} - 8 \, q^{4} t^{7} - 10 \, q^{4} t^{6} - 14 \, q^{3} t^{7} - 4 \, q^{3} t^{6} + 4 \, q^{2} t^{7} + q t^{7} + t^{8}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{4} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 5], [1, 3], [1, 5], [2, 4], [2, 6], [3, 4], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + q^{15} t + 6 \, q^{14} t - 4 \, q^{13} t^{2} - 20 \, q^{13} t - 6 \, q^{12} t^{2} - 6 \, q^{11} t^{3} + 4 \, q^{12} t + 44 \, q^{10} t^{3} + 4 \, q^{9} t^{4} + 2 \, q^{11} t + 56 \, q^{10} t^{2} - 48 \, q^{9} t^{3} - 11 \, q^{8} t^{4} - q^{7} t^{5} + 2 \, q^{10} t - 24 \, q^{9} t^{2} - 24 \, q^{7} t^{4} + 2 \, q^{6} t^{5} - q^{9} t - 11 \, q^{8} t^{2} - 48 \, q^{7} t^{3} + 56 \, q^{6} t^{4} + 2 \, q^{5} t^{5} + 4 \, q^{7} t^{2} + 44 \, q^{6} t^{3} + 4 \, q^{4} t^{5} - 6 \, q^{5} t^{3} - 6 \, q^{4} t^{4} - 20 \, q^{3} t^{5} - 4 \, q^{3} t^{4} + 6 \, q^{2} t^{5} + q t^{5} + t^{6}}{{\left(q^{2} - t\right)}^{4} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 6], [1, 3], [1, 4], [2, 5], [2, 6], [3, 4], [3, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + q^{13} t + q^{12} t - 3 \, q^{11} t^{2} - 6 \, q^{11} t - q^{10} t^{2} - q^{9} t^{3} - 6 \, q^{10} t + 4 \, q^{9} t^{2} + 9 \, q^{8} t^{3} + q^{7} t^{4} + 4 \, q^{9} t + 14 \, q^{8} t^{2} - 4 \, q^{7} t^{3} - 2 \, q^{6} t^{4} + 2 \, q^{8} t + 4 \, q^{7} t^{2} - 14 \, q^{6} t^{3} - 4 \, q^{5} t^{4} - q^{7} t - 9 \, q^{6} t^{2} - 4 \, q^{5} t^{3} + 6 \, q^{4} t^{4} + q^{5} t^{2} + q^{4} t^{3} + 6 \, q^{3} t^{4} + 3 \, q^{3} t^{3} - q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 6], [1, 3], [1, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{11} + 2 \, q^{10} t - q^{9} t^{2} + q^{9} t - 2 \, q^{8} t^{2} - q^{7} t^{3} - 8 \, q^{8} t + 2 \, q^{6} t^{3} - 4 \, q^{7} t + 6 \, q^{6} t^{2} + 4 \, q^{5} t^{3} + 4 \, q^{6} t + 6 \, q^{5} t^{2} - 4 \, q^{4} t^{3} + 2 \, q^{5} t - 8 \, q^{3} t^{3} - q^{4} t - 2 \, q^{3} t^{2} + q^{2} t^{3} - q^{2} t^{2} + 2 \, q t^{3} + t^{4}}{{\left(q^{2} - t\right)} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 5], [1, 3], [1, 4], [2, 5], [2, 6], [3, 4], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{20} t + q^{20} - 2 \, q^{19} t - 2 \, q^{18} t^{2} + 2 \, q^{18} t - q^{17} t^{2} - q^{16} t^{3} - q^{17} t + 3 \, q^{16} t^{2} + 8 \, q^{15} t^{3} - 18 \, q^{16} t - 6 \, q^{15} t^{2} + q^{14} t^{3} + 3 \, q^{13} t^{4} + 12 \, q^{15} t + 31 \, q^{14} t^{2} + q^{13} t^{3} - 6 \, q^{12} t^{4} - q^{13} t^{2} - 34 \, q^{12} t^{3} - 35 \, q^{11} t^{4} - 7 \, q^{10} t^{5} - q^{13} t + 14 \, q^{12} t^{2} + 15 \, q^{11} t^{3} + 63 \, q^{10} t^{4} + 24 \, q^{9} t^{5} - 24 \, q^{11} t^{2} - 63 \, q^{10} t^{3} - 15 \, q^{9} t^{4} - 14 \, q^{8} t^{5} + q^{7} t^{6} + 7 \, q^{10} t^{2} + 35 \, q^{9} t^{3} + 34 \, q^{8} t^{4} + q^{7} t^{5} + 6 \, q^{8} t^{3} - q^{7} t^{4} - 31 \, q^{6} t^{5} - 12 \, q^{5} t^{6} - 3 \, q^{7} t^{3} - q^{6} t^{4} + 6 \, q^{5} t^{5} + 18 \, q^{4} t^{6} - 8 \, q^{5} t^{4} - 3 \, q^{4} t^{5} + q^{3} t^{6} + q^{4} t^{4} + q^{3} t^{5} - 2 \, q^{2} t^{6} + 2 \, q^{2} t^{5} + 2 \, q t^{6} - t^{7} - t^{6}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[1, 3], [1, 4], [2, 4], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + q^{17} t + 4 \, q^{16} t - 2 \, q^{15} t^{2} - 6 \, q^{15} t - 3 \, q^{14} t^{2} - q^{13} t^{3} - 20 \, q^{14} t - 12 \, q^{13} t^{2} + 18 \, q^{13} t + 31 \, q^{12} t^{2} + 29 \, q^{11} t^{3} + 4 \, q^{10} t^{4} - 2 \, q^{12} t + 28 \, q^{11} t^{2} - 22 \, q^{10} t^{3} - 6 \, q^{9} t^{4} - q^{11} t - 25 \, q^{10} t^{2} - 32 \, q^{9} t^{3} - 25 \, q^{8} t^{4} - q^{7} t^{5} - 6 \, q^{9} t^{2} - 22 \, q^{8} t^{3} + 28 \, q^{7} t^{4} - 2 \, q^{6} t^{5} + 4 \, q^{8} t^{2} + 29 \, q^{7} t^{3} + 31 \, q^{6} t^{4} + 18 \, q^{5} t^{5} - 12 \, q^{5} t^{4} - 20 \, q^{4} t^{5} - q^{5} t^{3} - 3 \, q^{4} t^{4} - 6 \, q^{3} t^{5} - 2 \, q^{3} t^{4} + 4 \, q^{2} t^{5} + q t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 5], [1, 3], [1, 4], [2, 4], [2, 6], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{25} + q^{24} t - 2 \, q^{23} t + 3 \, q^{22} t - 3 \, q^{21} t^{2} - 8 \, q^{21} t - 10 \, q^{20} t + 5 \, q^{19} t^{2} - q^{18} t^{3} + 12 \, q^{19} t - 12 \, q^{18} t^{2} + 18 \, q^{17} t^{3} - 3 \, q^{18} t + 64 \, q^{17} t^{2} - 16 \, q^{16} t^{3} + q^{15} t^{4} - 32 \, q^{16} t^{2} - 2 \, q^{15} t^{3} - 2 \, q^{14} t^{4} - 3 \, q^{15} t^{2} - 32 \, q^{14} t^{3} - 27 \, q^{13} t^{4} + 2 \, q^{14} t^{2} - 30 \, q^{13} t^{3} + 30 \, q^{12} t^{4} - 2 \, q^{11} t^{5} + 27 \, q^{12} t^{3} + 32 \, q^{11} t^{4} + 3 \, q^{10} t^{5} + 2 \, q^{11} t^{3} + 2 \, q^{10} t^{4} + 32 \, q^{9} t^{5} - q^{10} t^{3} + 16 \, q^{9} t^{4} - 64 \, q^{8} t^{5} + 3 \, q^{7} t^{6} - 18 \, q^{8} t^{4} + 12 \, q^{7} t^{5} - 12 \, q^{6} t^{6} + q^{7} t^{4} - 5 \, q^{6} t^{5} + 10 \, q^{5} t^{6} + 8 \, q^{4} t^{6} + 3 \, q^{4} t^{5} - 3 \, q^{3} t^{6} + 2 \, q^{2} t^{6} - q t^{6} - t^{7}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 6], [1, 3], [1, 4], [1, 5], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + q^{16} t - 2 \, q^{15} t + 5 \, q^{14} t - 3 \, q^{13} t^{2} - 14 \, q^{13} t + 2 \, q^{12} t + 5 \, q^{11} t^{2} - q^{10} t^{3} + 4 \, q^{11} t + 2 \, q^{10} t^{2} + 14 \, q^{9} t^{3} - q^{10} t + 19 \, q^{9} t^{2} - 19 \, q^{8} t^{3} + q^{7} t^{4} - 14 \, q^{8} t^{2} - 2 \, q^{7} t^{3} - 4 \, q^{6} t^{4} + q^{7} t^{2} - 5 \, q^{6} t^{3} - 2 \, q^{5} t^{4} + 14 \, q^{4} t^{4} + 3 \, q^{4} t^{3} - 5 \, q^{3} t^{4} + 2 \, q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 5], [1, 3], [1, 4], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + q^{16} t + 3 \, q^{15} t - 14 \, q^{14} t - 3 \, q^{13} t^{2} + 2 \, q^{13} t - 5 \, q^{12} t^{2} + 4 \, q^{12} t + 14 \, q^{11} t^{2} - q^{10} t^{3} - q^{11} t + 18 \, q^{10} t^{2} + 15 \, q^{9} t^{3} - 15 \, q^{9} t^{2} - 18 \, q^{8} t^{3} + q^{7} t^{4} + q^{8} t^{2} - 14 \, q^{7} t^{3} - 4 \, q^{6} t^{4} + 5 \, q^{6} t^{3} - 2 \, q^{5} t^{4} + 3 \, q^{5} t^{3} + 14 \, q^{4} t^{4} - 3 \, q^{3} t^{4} - q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 5], [0, 6], [1, 3], [1, 4], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{26} + q^{24} t + q^{23} t - 6 \, q^{22} t - 3 \, q^{21} t^{2} - 14 \, q^{21} t - 7 \, q^{20} t^{2} + 14 \, q^{20} t - 2 \, q^{19} t^{2} - q^{18} t^{3} - 3 \, q^{19} t + 69 \, q^{18} t^{2} + 29 \, q^{17} t^{3} - 35 \, q^{17} t^{2} - 19 \, q^{16} t^{3} + q^{15} t^{4} - q^{16} t^{2} - 39 \, q^{15} t^{3} - 10 \, q^{14} t^{4} - 33 \, q^{14} t^{3} - 19 \, q^{13} t^{4} + 19 \, q^{13} t^{3} + 33 \, q^{12} t^{4} + 10 \, q^{12} t^{3} + 39 \, q^{11} t^{4} + q^{10} t^{5} - q^{11} t^{3} + 19 \, q^{10} t^{4} + 35 \, q^{9} t^{5} - 29 \, q^{9} t^{4} - 69 \, q^{8} t^{5} + 3 \, q^{7} t^{6} + q^{8} t^{4} + 2 \, q^{7} t^{5} - 14 \, q^{6} t^{6} + 7 \, q^{6} t^{5} + 14 \, q^{5} t^{6} + 3 \, q^{5} t^{5} + 6 \, q^{4} t^{6} - q^{3} t^{6} - q^{2} t^{6} - t^{7}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 5], [0, 6], [1, 3], [1, 4], [1, 5], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + 3 \, q^{15} t - 3 \, q^{14} t^{2} + q^{13} t^{3} - q^{14} t - 11 \, q^{13} t^{2} - q^{12} t^{3} + 3 \, q^{11} t^{4} - 16 \, q^{13} t + 9 \, q^{12} t^{2} + 35 \, q^{11} t^{3} - 9 \, q^{10} t^{4} - 3 \, q^{9} t^{5} + 2 \, q^{12} t + 36 \, q^{11} t^{2} - 19 \, q^{10} t^{3} - 21 \, q^{9} t^{4} + q^{8} t^{5} + q^{7} t^{6} + 6 \, q^{11} t + 16 \, q^{10} t^{2} - 78 \, q^{9} t^{3} + 28 \, q^{7} t^{5} - 28 \, q^{9} t^{2} + 78 \, q^{7} t^{4} - 16 \, q^{6} t^{5} - 6 \, q^{5} t^{6} - q^{9} t - q^{8} t^{2} + 21 \, q^{7} t^{3} + 19 \, q^{6} t^{4} - 36 \, q^{5} t^{5} - 2 \, q^{4} t^{6} + 3 \, q^{7} t^{2} + 9 \, q^{6} t^{3} - 35 \, q^{5} t^{4} - 9 \, q^{4} t^{5} + 16 \, q^{3} t^{6} - 3 \, q^{5} t^{3} + q^{4} t^{4} + 11 \, q^{3} t^{5} + q^{2} t^{6} - q^{3} t^{4} + 3 \, q^{2} t^{5} - 3 \, q t^{6} - t^{7}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 4], [1, 3], [2, 5], [2, 6], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 4 \, q^{16} t - 6 \, q^{15} t^{2} + 4 \, q^{14} t^{3} - q^{13} t^{4} - 3 \, q^{15} t - 20 \, q^{14} t^{2} + 2 \, q^{13} t^{3} + 12 \, q^{12} t^{4} - 5 \, q^{11} t^{5} - 20 \, q^{14} t + 41 \, q^{13} t^{2} + 68 \, q^{12} t^{3} - 58 \, q^{11} t^{4} + 6 \, q^{10} t^{5} + 3 \, q^{9} t^{6} + 8 \, q^{13} t + 28 \, q^{12} t^{2} - 91 \, q^{11} t^{3} - 28 \, q^{10} t^{4} + 22 \, q^{9} t^{5} + 6 \, q^{8} t^{6} - q^{7} t^{7} + 4 \, q^{12} t + 20 \, q^{11} t^{2} - 122 \, q^{10} t^{3} + 110 \, q^{9} t^{4} + 60 \, q^{8} t^{5} - 44 \, q^{7} t^{6} - 44 \, q^{10} t^{2} + 60 \, q^{9} t^{3} + 110 \, q^{8} t^{4} - 122 \, q^{7} t^{5} + 20 \, q^{6} t^{6} + 4 \, q^{5} t^{7} - q^{10} t + 6 \, q^{9} t^{2} + 22 \, q^{8} t^{3} - 28 \, q^{7} t^{4} - 91 \, q^{6} t^{5} + 28 \, q^{5} t^{6} + 8 \, q^{4} t^{7} + 3 \, q^{8} t^{2} + 6 \, q^{7} t^{3} - 58 \, q^{6} t^{4} + 68 \, q^{5} t^{5} + 41 \, q^{4} t^{6} - 20 \, q^{3} t^{7} - 5 \, q^{6} t^{3} + 12 \, q^{5} t^{4} + 2 \, q^{4} t^{5} - 20 \, q^{3} t^{6} - 3 \, q^{2} t^{7} - q^{4} t^{4} + 4 \, q^{3} t^{5} - 6 \, q^{2} t^{6} + 4 \, q t^{7} + t^{8}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[0, 4], [1, 3], [2, 5], [2, 6], [3, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{13} + 2 \, q^{12} t - q^{11} t^{2} + 2 \, q^{11} t - 4 \, q^{10} t^{2} - 2 \, q^{9} t^{3} - 12 \, q^{10} t - q^{9} t^{2} + 8 \, q^{8} t^{3} + q^{7} t^{4} - 4 \, q^{9} t + 12 \, q^{8} t^{2} + 4 \, q^{7} t^{3} + 8 \, q^{8} t + 14 \, q^{7} t^{2} - 14 \, q^{6} t^{3} - 8 \, q^{5} t^{4} - 4 \, q^{6} t^{2} - 12 \, q^{5} t^{3} + 4 \, q^{4} t^{4} - q^{6} t - 8 \, q^{5} t^{2} + q^{4} t^{3} + 12 \, q^{3} t^{4} + 2 \, q^{4} t^{2} + 4 \, q^{3} t^{3} - 2 \, q^{2} t^{4} + q^{2} t^{3} - 2 \, q t^{4} - t^{5}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 4], [1, 3], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{21} + 6 \, q^{19} t - 10 \, q^{18} t - 4 \, q^{17} t^{2} - 14 \, q^{17} t - 28 \, q^{16} t^{2} - 2 \, q^{15} t^{3} + 12 \, q^{16} t + 63 \, q^{15} t^{2} + 20 \, q^{14} t^{3} + q^{13} t^{4} + 18 \, q^{14} t^{2} + 44 \, q^{13} t^{3} + 8 \, q^{12} t^{4} - q^{14} t - 26 \, q^{13} t^{2} - 136 \, q^{12} t^{3} - 58 \, q^{11} t^{4} - 4 \, q^{10} t^{5} - 6 \, q^{12} t^{2} - 10 \, q^{11} t^{3} + 10 \, q^{10} t^{4} + 6 \, q^{9} t^{5} + 4 \, q^{11} t^{2} + 58 \, q^{10} t^{3} + 136 \, q^{9} t^{4} + 26 \, q^{8} t^{5} + q^{7} t^{6} - 8 \, q^{9} t^{3} - 44 \, q^{8} t^{4} - 18 \, q^{7} t^{5} - q^{8} t^{3} - 20 \, q^{7} t^{4} - 63 \, q^{6} t^{5} - 12 \, q^{5} t^{6} + 2 \, q^{6} t^{4} + 28 \, q^{5} t^{5} + 14 \, q^{4} t^{6} + 4 \, q^{4} t^{5} + 10 \, q^{3} t^{6} - 6 \, q^{2} t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 4], [0, 6], [1, 3], [1, 6], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + 10 \, q^{13} t - 20 \, q^{12} t - 4 \, q^{11} t^{2} - 22 \, q^{10} t^{2} - 2 \, q^{9} t^{3} + 4 \, q^{10} t + 56 \, q^{9} t^{2} + 14 \, q^{8} t^{3} + q^{7} t^{4} + 2 \, q^{9} t - 8 \, q^{8} t^{2} + 8 \, q^{7} t^{3} - 2 \, q^{6} t^{4} - q^{8} t - 14 \, q^{7} t^{2} - 56 \, q^{6} t^{3} - 4 \, q^{5} t^{4} + 2 \, q^{6} t^{2} + 22 \, q^{5} t^{3} + 4 \, q^{4} t^{3} + 20 \, q^{3} t^{4} - 10 \, q^{2} t^{4} - t^{5}}{{\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 4], [0, 6], [1, 3], [1, 5], [2, 5], [2, 6], [3, 4], [3, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + 4 \, q^{18} t + 9 \, q^{17} t + q^{16} t^{2} - 48 \, q^{16} t - 18 \, q^{15} t^{2} + 36 \, q^{15} t - 11 \, q^{14} t^{2} - 7 \, q^{13} t^{3} - 6 \, q^{14} t + 80 \, q^{13} t^{2} + 22 \, q^{12} t^{3} - q^{13} t - 12 \, q^{12} t^{2} + 67 \, q^{11} t^{3} + 13 \, q^{10} t^{4} - 38 \, q^{11} t^{2} - 184 \, q^{10} t^{3} - 38 \, q^{9} t^{4} + 13 \, q^{10} t^{2} + 67 \, q^{9} t^{3} - 12 \, q^{8} t^{4} - q^{7} t^{5} + 22 \, q^{8} t^{3} + 80 \, q^{7} t^{4} - 6 \, q^{6} t^{5} - 7 \, q^{7} t^{3} - 11 \, q^{6} t^{4} + 36 \, q^{5} t^{5} - 18 \, q^{5} t^{4} - 48 \, q^{4} t^{5} + q^{4} t^{4} + 9 \, q^{3} t^{5} + 4 \, q^{2} t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 4], [0, 5], [1, 3], [1, 6], [2, 5], [2, 6], [3, 4], [3, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{11} + 4 \, q^{9} t + q^{7} t^{2} - 16 \, q^{7} t - 2 \, q^{6} t^{2} + 8 \, q^{6} t - 8 \, q^{5} t^{2} + 2 \, q^{5} t + 16 \, q^{4} t^{2} - q^{4} t - 4 \, q^{2} t^{2} - t^{3}}{{\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 4], [0, 5], [1, 3], [1, 6], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{11} + 2 \, q^{10} t - q^{9} t^{2} - q^{9} t - 2 \, q^{8} t^{2} - q^{7} t^{3} - 4 \, q^{8} t + 2 \, q^{7} t^{2} + 2 \, q^{6} t^{3} - 6 \, q^{7} t + 4 \, q^{6} t^{2} + 4 \, q^{5} t^{3} + 4 \, q^{6} t + 4 \, q^{5} t^{2} - 6 \, q^{4} t^{3} + 2 \, q^{5} t + 2 \, q^{4} t^{2} - 4 \, q^{3} t^{3} - q^{4} t - 2 \, q^{3} t^{2} - q^{2} t^{3} - q^{2} t^{2} + 2 \, q t^{3} + t^{4}}{{\left(q^{2} - t\right)} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 4], [1, 3], [2, 4], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + q^{15} t + 3 \, q^{14} t - q^{13} t^{2} - 6 \, q^{13} t - 10 \, q^{12} t - 12 \, q^{11} t^{2} - 2 \, q^{10} t^{3} + 6 \, q^{11} t + 19 \, q^{10} t^{2} + 9 \, q^{9} t^{3} + 2 \, q^{10} t + 14 \, q^{9} t^{2} + 3 \, q^{8} t^{3} + q^{7} t^{4} - q^{9} t - 3 \, q^{8} t^{2} - 14 \, q^{7} t^{3} - 2 \, q^{6} t^{4} - 9 \, q^{7} t^{2} - 19 \, q^{6} t^{3} - 6 \, q^{5} t^{4} + 2 \, q^{6} t^{2} + 12 \, q^{5} t^{3} + 10 \, q^{4} t^{4} + 6 \, q^{3} t^{4} + q^{3} t^{3} - 3 \, q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 4], [1, 3], [1, 5], [2, 4], [2, 5], [2, 6], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{28} + 2 \, q^{26} t + q^{25} t - q^{24} t^{2} - 16 \, q^{24} t - 8 \, q^{23} t^{2} - 2 \, q^{23} t - 5 \, q^{22} t^{2} - q^{21} t^{3} + 10 \, q^{22} t + 26 \, q^{21} t^{2} + 20 \, q^{20} t^{3} - 3 \, q^{21} t + 63 \, q^{20} t^{2} + 27 \, q^{19} t^{3} + 5 \, q^{18} t^{4} - 52 \, q^{19} t^{2} - 78 \, q^{18} t^{3} - 26 \, q^{17} t^{4} + 3 \, q^{18} t^{2} - 44 \, q^{17} t^{3} - 23 \, q^{16} t^{4} - q^{15} t^{5} + 2 \, q^{17} t^{2} - 28 \, q^{16} t^{3} + 26 \, q^{15} t^{4} - 6 \, q^{14} t^{5} + 55 \, q^{15} t^{3} + 106 \, q^{14} t^{4} + 55 \, q^{13} t^{5} - 6 \, q^{14} t^{3} + 26 \, q^{13} t^{4} - 28 \, q^{12} t^{5} + 2 \, q^{11} t^{6} - q^{13} t^{3} - 23 \, q^{12} t^{4} - 44 \, q^{11} t^{5} + 3 \, q^{10} t^{6} - 26 \, q^{11} t^{4} - 78 \, q^{10} t^{5} - 52 \, q^{9} t^{6} + 5 \, q^{10} t^{4} + 27 \, q^{9} t^{5} + 63 \, q^{8} t^{6} - 3 \, q^{7} t^{7} + 20 \, q^{8} t^{5} + 26 \, q^{7} t^{6} + 10 \, q^{6} t^{7} - q^{7} t^{5} - 5 \, q^{6} t^{6} - 2 \, q^{5} t^{7} - 8 \, q^{5} t^{6} - 16 \, q^{4} t^{7} - q^{4} t^{6} + q^{3} t^{7} + 2 \, q^{2} t^{7} + t^{8}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 4], [0, 6], [1, 3], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + 3 \, q^{14} t - 3 \, q^{13} t - 3 \, q^{12} t^{2} - 10 \, q^{12} t - 5 \, q^{11} t^{2} + q^{10} t^{3} + 2 \, q^{11} t + 8 \, q^{10} t^{2} - q^{9} t^{3} + 4 \, q^{10} t + 26 \, q^{9} t^{2} + 16 \, q^{8} t^{3} + q^{7} t^{4} - q^{9} t - 16 \, q^{8} t^{2} - 26 \, q^{7} t^{3} - 4 \, q^{6} t^{4} + q^{7} t^{2} - 8 \, q^{6} t^{3} - 2 \, q^{5} t^{4} - q^{6} t^{2} + 5 \, q^{5} t^{3} + 10 \, q^{4} t^{4} + 3 \, q^{4} t^{3} + 3 \, q^{3} t^{4} - 3 \, q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 4], [0, 5], [1, 3], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 6], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{28} + 2 \, q^{26} t + q^{25} t - q^{24} t^{2} - 16 \, q^{24} t - 10 \, q^{23} t^{2} - 2 \, q^{23} t + 5 \, q^{22} t^{2} + q^{21} t^{3} + 10 \, q^{22} t + 6 \, q^{21} t^{2} + 10 \, q^{20} t^{3} - 3 \, q^{21} t + 83 \, q^{20} t^{2} + 49 \, q^{19} t^{3} + 5 \, q^{18} t^{4} - 62 \, q^{19} t^{2} - 108 \, q^{18} t^{3} - 28 \, q^{17} t^{4} + 5 \, q^{18} t^{2} - 14 \, q^{17} t^{3} - 11 \, q^{16} t^{4} - q^{15} t^{5} + 2 \, q^{17} t^{2} - 50 \, q^{16} t^{3} - 4 \, q^{15} t^{4} - 8 \, q^{14} t^{5} + 65 \, q^{15} t^{3} + 146 \, q^{14} t^{4} + 65 \, q^{13} t^{5} - 8 \, q^{14} t^{3} - 4 \, q^{13} t^{4} - 50 \, q^{12} t^{5} + 2 \, q^{11} t^{6} - q^{13} t^{3} - 11 \, q^{12} t^{4} - 14 \, q^{11} t^{5} + 5 \, q^{10} t^{6} - 28 \, q^{11} t^{4} - 108 \, q^{10} t^{5} - 62 \, q^{9} t^{6} + 5 \, q^{10} t^{4} + 49 \, q^{9} t^{5} + 83 \, q^{8} t^{6} - 3 \, q^{7} t^{7} + 10 \, q^{8} t^{5} + 6 \, q^{7} t^{6} + 10 \, q^{6} t^{7} + q^{7} t^{5} + 5 \, q^{6} t^{6} - 2 \, q^{5} t^{7} - 10 \, q^{5} t^{6} - 16 \, q^{4} t^{7} - q^{4} t^{6} + q^{3} t^{7} + 2 \, q^{2} t^{7} + t^{8}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 4], [0, 5], [1, 3], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{22} + 2 \, q^{20} t - q^{19} t - q^{18} t^{2} - 6 \, q^{18} t - 2 \, q^{17} t^{2} - 10 \, q^{17} t - 6 \, q^{16} t^{2} - q^{15} t^{3} + 12 \, q^{16} t + 14 \, q^{15} t^{2} + 6 \, q^{14} t^{3} - 3 \, q^{15} t + 23 \, q^{14} t^{2} + 10 \, q^{13} t^{3} - 6 \, q^{13} t^{2} - 22 \, q^{12} t^{3} + 2 \, q^{11} t^{4} - 9 \, q^{12} t^{2} - 6 \, q^{11} t^{3} - 9 \, q^{10} t^{4} + 2 \, q^{11} t^{2} - 22 \, q^{10} t^{3} - 6 \, q^{9} t^{4} + 10 \, q^{9} t^{3} + 23 \, q^{8} t^{4} - 3 \, q^{7} t^{5} + 6 \, q^{8} t^{3} + 14 \, q^{7} t^{4} + 12 \, q^{6} t^{5} - q^{7} t^{3} - 6 \, q^{6} t^{4} - 10 \, q^{5} t^{5} - 2 \, q^{5} t^{4} - 6 \, q^{4} t^{5} - q^{4} t^{4} - q^{3} t^{5} + 2 \, q^{2} t^{5} + t^{6}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 4], [0, 5], [1, 3], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + 2 \, q^{12} t - q^{11} t - q^{10} t^{2} - 8 \, q^{10} t - 2 \, q^{9} t^{2} + 2 \, q^{8} t^{2} - q^{7} t^{3} + 4 \, q^{8} t + 8 \, q^{7} t^{2} + 4 \, q^{6} t^{3} - q^{7} t + 2 \, q^{6} t^{2} - 2 \, q^{5} t^{2} - 8 \, q^{4} t^{3} - q^{4} t^{2} - q^{3} t^{3} + 2 \, q^{2} t^{3} + t^{4}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 4], [0, 5], [1, 3], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{11} t - 2 \, q^{10} t^{2} - 3 \, q^{9} t^{3} + q^{11} + 6 \, q^{10} t - q^{7} t^{4} - 9 \, q^{9} t - 4 \, q^{8} t^{2} + 23 \, q^{7} t^{3} + 6 \, q^{6} t^{4} - 14 \, q^{8} t - 2 \, q^{7} t^{2} - 10 \, q^{6} t^{3} - 8 \, q^{5} t^{4} + 8 \, q^{7} t + 28 \, q^{6} t^{2} - 28 \, q^{5} t^{3} - 8 \, q^{4} t^{4} + 8 \, q^{6} t + 10 \, q^{5} t^{2} + 2 \, q^{4} t^{3} + 14 \, q^{3} t^{4} - 6 \, q^{5} t - 23 \, q^{4} t^{2} + 4 \, q^{3} t^{3} + 9 \, q^{2} t^{4} + q^{4} t - 6 \, q t^{4} - t^{5} + 3 \, q^{2} t^{2} + 2 \, q t^{3} - t^{4}}{{\left(q^{2} - t\right)} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 6 edges: | [[0, 6], [1, 3], [2, 3], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 4 \, q^{15} t + 6 \, q^{14} t + q^{13} t^{2} - 40 \, q^{13} t - 8 \, q^{12} t^{2} + 34 \, q^{12} t - 21 \, q^{11} t^{2} - 6 \, q^{10} t^{3} - 10 \, q^{11} t + 68 \, q^{10} t^{2} + 18 \, q^{9} t^{3} + q^{10} t - 18 \, q^{9} t^{2} + 18 \, q^{8} t^{3} - q^{7} t^{4} - 18 \, q^{8} t^{2} - 68 \, q^{7} t^{3} + 10 \, q^{6} t^{4} + 6 \, q^{7} t^{2} + 21 \, q^{6} t^{3} - 34 \, q^{5} t^{4} + 8 \, q^{5} t^{3} + 40 \, q^{4} t^{4} - q^{4} t^{3} - 6 \, q^{3} t^{4} - 4 \, q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 5], [0, 6], [1, 3], [1, 6], [2, 3], [2, 5], [3, 4], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + 4 \, q^{18} t + 3 \, q^{17} t + q^{16} t^{2} - 32 \, q^{16} t - 16 \, q^{15} t^{2} + 22 \, q^{15} t - 9 \, q^{14} t^{2} - 5 \, q^{13} t^{3} - 2 \, q^{14} t + 76 \, q^{13} t^{2} + 22 \, q^{12} t^{3} - q^{13} t - 24 \, q^{12} t^{2} + 37 \, q^{11} t^{3} + 7 \, q^{10} t^{4} - 20 \, q^{11} t^{2} - 128 \, q^{10} t^{3} - 20 \, q^{9} t^{4} + 7 \, q^{10} t^{2} + 37 \, q^{9} t^{3} - 24 \, q^{8} t^{4} - q^{7} t^{5} + 22 \, q^{8} t^{3} + 76 \, q^{7} t^{4} - 2 \, q^{6} t^{5} - 5 \, q^{7} t^{3} - 9 \, q^{6} t^{4} + 22 \, q^{5} t^{5} - 16 \, q^{5} t^{4} - 32 \, q^{4} t^{5} + q^{4} t^{4} + 3 \, q^{3} t^{5} + 4 \, q^{2} t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 5], [0, 6], [1, 3], [1, 6], [2, 3], [2, 4], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{22} + q^{20} t + q^{19} t - 9 \, q^{18} t - 3 \, q^{17} t^{2} - 4 \, q^{17} t - 2 \, q^{16} t^{2} + 6 \, q^{16} t - q^{15} t^{2} - q^{14} t^{3} - q^{15} t + 44 \, q^{14} t^{2} + 16 \, q^{13} t^{3} - 21 \, q^{13} t^{2} - 5 \, q^{12} t^{3} + q^{11} t^{4} - 3 \, q^{12} t^{2} - 40 \, q^{11} t^{3} - 3 \, q^{10} t^{4} + q^{11} t^{2} - 5 \, q^{10} t^{3} - 21 \, q^{9} t^{4} + 16 \, q^{9} t^{3} + 44 \, q^{8} t^{4} - q^{7} t^{5} - q^{8} t^{3} - q^{7} t^{4} + 6 \, q^{6} t^{5} - 2 \, q^{6} t^{4} - 4 \, q^{5} t^{5} - 3 \, q^{5} t^{4} - 9 \, q^{4} t^{5} + q^{3} t^{5} + q^{2} t^{5} + t^{6}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 5], [0, 6], [1, 3], [1, 5], [1, 6], [2, 3], [2, 4], [2, 6], [3, 4], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{19} + q^{18} t - q^{17} t - q^{16} t^{2} + 9 \, q^{16} t - 3 \, q^{15} t^{2} - 34 \, q^{15} t - 9 \, q^{14} t^{2} - q^{13} t^{3} + 22 \, q^{14} t + 27 \, q^{13} t^{2} + 11 \, q^{12} t^{3} - 2 \, q^{13} t - 4 \, q^{12} t^{2} + 9 \, q^{11} t^{3} + 9 \, q^{10} t^{4} - q^{12} t + 33 \, q^{11} t^{2} - 29 \, q^{10} t^{3} - 37 \, q^{9} t^{4} - 37 \, q^{10} t^{2} - 29 \, q^{9} t^{3} + 33 \, q^{8} t^{4} - q^{7} t^{5} + 9 \, q^{9} t^{2} + 9 \, q^{8} t^{3} - 4 \, q^{7} t^{4} - 2 \, q^{6} t^{5} + 11 \, q^{7} t^{3} + 27 \, q^{6} t^{4} + 22 \, q^{5} t^{5} - q^{6} t^{3} - 9 \, q^{5} t^{4} - 34 \, q^{4} t^{5} - 3 \, q^{4} t^{4} + 9 \, q^{3} t^{5} - q^{3} t^{4} - q^{2} t^{5} + q t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 6], [1, 3], [1, 4], [2, 3], [2, 5], [2, 6], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + 3 \, q^{14} t - 3 \, q^{13} t - 3 \, q^{12} t^{2} - 10 \, q^{12} t - 7 \, q^{11} t^{2} + q^{10} t^{3} + 2 \, q^{11} t + 16 \, q^{10} t^{2} + q^{9} t^{3} + 4 \, q^{10} t + 14 \, q^{9} t^{2} + 8 \, q^{8} t^{3} + q^{7} t^{4} - q^{9} t - 8 \, q^{8} t^{2} - 14 \, q^{7} t^{3} - 4 \, q^{6} t^{4} - q^{7} t^{2} - 16 \, q^{6} t^{3} - 2 \, q^{5} t^{4} - q^{6} t^{2} + 7 \, q^{5} t^{3} + 10 \, q^{4} t^{4} + 3 \, q^{4} t^{3} + 3 \, q^{3} t^{4} - 3 \, q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 5], [0, 6], [1, 3], [1, 4], [2, 3], [2, 5], [2, 6], [3, 4], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + q^{16} t - 2 \, q^{15} t + 15 \, q^{14} t - 3 \, q^{13} t^{2} - 40 \, q^{13} t - 6 \, q^{12} t^{2} + 24 \, q^{12} t + 21 \, q^{11} t^{2} - 11 \, q^{10} t^{3} - 2 \, q^{11} t - 32 \, q^{10} t^{2} + 54 \, q^{9} t^{3} - q^{10} t + 73 \, q^{9} t^{2} - 73 \, q^{8} t^{3} + q^{7} t^{4} - 54 \, q^{8} t^{2} + 32 \, q^{7} t^{3} + 2 \, q^{6} t^{4} + 11 \, q^{7} t^{2} - 21 \, q^{6} t^{3} - 24 \, q^{5} t^{4} + 6 \, q^{5} t^{3} + 40 \, q^{4} t^{4} + 3 \, q^{4} t^{3} - 15 \, q^{3} t^{4} + 2 \, q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 6], [1, 3], [1, 4], [1, 5], [2, 3], [2, 4], [2, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{15} t + q^{15} - 2 \, q^{14} t - 2 \, q^{11} t^{2} + 10 \, q^{11} t - 2 \, q^{10} t^{2} - 30 \, q^{10} t + 12 \, q^{9} t^{2} + 22 \, q^{9} t - 5 \, q^{8} t^{2} - 5 \, q^{7} t^{3} - 5 \, q^{8} t - 5 \, q^{7} t^{2} + 22 \, q^{6} t^{3} + 12 \, q^{6} t^{2} - 30 \, q^{5} t^{3} - 2 \, q^{5} t^{2} + 10 \, q^{4} t^{3} - 2 \, q^{4} t^{2} - 2 \, q t^{3} + t^{4} + t^{3}}{{\left(q^{4} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[1, 3], [1, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{15} t + q^{15} - 2 \, q^{14} t - 2 \, q^{11} t^{2} + 6 \, q^{11} t - 20 \, q^{10} t + 8 \, q^{9} t^{2} + 14 \, q^{9} t - 3 \, q^{8} t^{2} - 3 \, q^{7} t^{3} - 3 \, q^{8} t - 3 \, q^{7} t^{2} + 14 \, q^{6} t^{3} + 8 \, q^{6} t^{2} - 20 \, q^{5} t^{3} + 6 \, q^{4} t^{3} - 2 \, q^{4} t^{2} - 2 \, q t^{3} + t^{4} + t^{3}}{{\left(q^{4} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[1, 3], [1, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{19} + q^{18} t - 2 \, q^{17} t + q^{16} t - q^{15} t^{2} + 2 \, q^{15} t - 2 \, q^{14} t^{2} - 18 \, q^{14} t + 4 \, q^{13} t^{2} + 14 \, q^{13} t - 3 \, q^{12} t + 8 \, q^{11} t^{2} + 7 \, q^{10} t^{3} + 8 \, q^{10} t^{2} - 8 \, q^{9} t^{3} - 7 \, q^{9} t^{2} - 8 \, q^{8} t^{3} + 3 \, q^{7} t^{4} - 14 \, q^{6} t^{4} - 4 \, q^{6} t^{3} + 18 \, q^{5} t^{4} + 2 \, q^{5} t^{3} - 2 \, q^{4} t^{4} + q^{4} t^{3} - q^{3} t^{4} + 2 \, q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 6], [1, 3], [1, 4], [1, 5], [2, 3], [2, 4], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + q^{15} t - 2 \, q^{14} t + 6 \, q^{12} t - 2 \, q^{11} t^{2} - 20 \, q^{11} t + 14 \, q^{10} t + 8 \, q^{9} t^{2} - 3 \, q^{9} t - 6 \, q^{8} t^{2} - 3 \, q^{7} t^{3} + 8 \, q^{7} t^{2} + 14 \, q^{6} t^{3} - 20 \, q^{5} t^{3} - 2 \, q^{5} t^{2} + 6 \, q^{4} t^{3} - 2 \, q^{2} t^{3} + q t^{3} + t^{4}}{{\left(q^{4} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 6], [1, 3], [1, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{22} + q^{21} t - 2 \, q^{20} t + 4 \, q^{19} t - 2 \, q^{18} t^{2} - 8 \, q^{18} t - 4 \, q^{17} t^{2} - 10 \, q^{17} t + 15 \, q^{16} t^{2} - q^{15} t^{3} + 12 \, q^{16} t - 24 \, q^{15} t^{2} + 8 \, q^{14} t^{3} - 3 \, q^{15} t + 50 \, q^{14} t^{2} + 7 \, q^{13} t^{3} - 14 \, q^{13} t^{2} - 34 \, q^{12} t^{3} + 2 \, q^{11} t^{4} - 8 \, q^{12} t^{2} + 20 \, q^{11} t^{3} - 8 \, q^{10} t^{4} + 2 \, q^{11} t^{2} - 34 \, q^{10} t^{3} - 14 \, q^{9} t^{4} + 7 \, q^{9} t^{3} + 50 \, q^{8} t^{4} - 3 \, q^{7} t^{5} + 8 \, q^{8} t^{3} - 24 \, q^{7} t^{4} + 12 \, q^{6} t^{5} - q^{7} t^{3} + 15 \, q^{6} t^{4} - 10 \, q^{5} t^{5} - 4 \, q^{5} t^{4} - 8 \, q^{4} t^{5} - 2 \, q^{4} t^{4} + 4 \, q^{3} t^{5} - 2 \, q^{2} t^{5} + q t^{5} + t^{6}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 5], [1, 3], [1, 4], [1, 6], [2, 3], [2, 4], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + q^{16} t + 11 \, q^{15} t - 28 \, q^{14} t - 7 \, q^{13} t^{2} + 2 \, q^{13} t - q^{12} t^{2} + 14 \, q^{12} t + 2 \, q^{11} t^{2} - 7 \, q^{10} t^{3} - 5 \, q^{11} t + 52 \, q^{10} t^{2} + 43 \, q^{9} t^{3} - 43 \, q^{9} t^{2} - 52 \, q^{8} t^{3} + 5 \, q^{7} t^{4} + 7 \, q^{8} t^{2} - 2 \, q^{7} t^{3} - 14 \, q^{6} t^{4} + q^{6} t^{3} - 2 \, q^{5} t^{4} + 7 \, q^{5} t^{3} + 28 \, q^{4} t^{4} - 11 \, q^{3} t^{4} - q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 5], [0, 6], [1, 3], [1, 4], [1, 6], [2, 3], [2, 4], [2, 6], [3, 5], [4, 5]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + q^{13} t + 8 \, q^{12} t - 20 \, q^{11} t - 2 \, q^{10} t^{2} - 7 \, q^{9} t^{2} + 10 \, q^{9} t + 12 \, q^{8} t^{2} - 3 \, q^{7} t^{3} - 3 \, q^{8} t + 12 \, q^{7} t^{2} + 10 \, q^{6} t^{3} - 7 \, q^{6} t^{2} - 2 \, q^{5} t^{2} - 20 \, q^{4} t^{3} + 8 \, q^{3} t^{3} + q^{2} t^{3} + t^{4}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 5], [0, 6], [1, 3], [1, 4], [1, 6], [2, 3], [2, 4], [2, 6], [3, 5], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{23} + q^{21} t + 2 \, q^{20} t - 8 \, q^{19} t - 2 \, q^{18} t^{2} - 10 \, q^{18} t - 3 \, q^{17} t^{2} + 12 \, q^{17} t - 8 \, q^{16} t^{2} - q^{15} t^{3} - 3 \, q^{16} t + 49 \, q^{15} t^{2} + 8 \, q^{14} t^{3} - 15 \, q^{14} t^{2} + 9 \, q^{13} t^{3} - 8 \, q^{13} t^{2} - 26 \, q^{12} t^{3} + 2 \, q^{11} t^{4} + 2 \, q^{12} t^{2} - 26 \, q^{11} t^{3} - 8 \, q^{10} t^{4} + 9 \, q^{10} t^{3} - 15 \, q^{9} t^{4} + 8 \, q^{9} t^{3} + 49 \, q^{8} t^{4} - 3 \, q^{7} t^{5} - q^{8} t^{3} - 8 \, q^{7} t^{4} + 12 \, q^{6} t^{5} - 3 \, q^{6} t^{4} - 10 \, q^{5} t^{5} - 2 \, q^{5} t^{4} - 8 \, q^{4} t^{5} + 2 \, q^{3} t^{5} + q^{2} t^{5} + t^{6}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 5], [0, 6], [1, 3], [1, 4], [1, 6], [2, 3], [2, 4], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{19} + 2 \, q^{17} t - 4 \, q^{16} t - q^{15} t^{2} + 8 \, q^{15} t - 28 \, q^{14} t - 10 \, q^{13} t^{2} + 22 \, q^{13} t + 24 \, q^{12} t^{2} - 5 \, q^{12} t - 9 \, q^{11} t^{2} + 10 \, q^{10} t^{3} + 16 \, q^{10} t^{2} - 16 \, q^{9} t^{3} - 10 \, q^{9} t^{2} + 9 \, q^{8} t^{3} + 5 \, q^{7} t^{4} - 24 \, q^{7} t^{3} - 22 \, q^{6} t^{4} + 10 \, q^{6} t^{3} + 28 \, q^{5} t^{4} - 8 \, q^{4} t^{4} + q^{4} t^{3} + 4 \, q^{3} t^{4} - 2 \, q^{2} t^{4} - t^{5}}{{\left(q^{4} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 5], [0, 6], [1, 3], [1, 4], [2, 3], [2, 4], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{26} + q^{24} t + q^{23} t - 6 \, q^{22} t - 5 \, q^{21} t^{2} - 14 \, q^{21} t + q^{20} t^{2} + 14 \, q^{20} t - 12 \, q^{19} t^{2} + q^{18} t^{3} - 3 \, q^{19} t + 69 \, q^{18} t^{2} + 21 \, q^{17} t^{3} - 25 \, q^{17} t^{2} - 9 \, q^{16} t^{3} + q^{15} t^{4} - 9 \, q^{16} t^{2} - 39 \, q^{15} t^{3} - 8 \, q^{14} t^{4} + 2 \, q^{15} t^{2} - 43 \, q^{14} t^{3} - 27 \, q^{13} t^{4} + 27 \, q^{13} t^{3} + 43 \, q^{12} t^{4} - 2 \, q^{11} t^{5} + 8 \, q^{12} t^{3} + 39 \, q^{11} t^{4} + 9 \, q^{10} t^{5} - q^{11} t^{3} + 9 \, q^{10} t^{4} + 25 \, q^{9} t^{5} - 21 \, q^{9} t^{4} - 69 \, q^{8} t^{5} + 3 \, q^{7} t^{6} - q^{8} t^{4} + 12 \, q^{7} t^{5} - 14 \, q^{6} t^{6} - q^{6} t^{5} + 14 \, q^{5} t^{6} + 5 \, q^{5} t^{5} + 6 \, q^{4} t^{6} - q^{3} t^{6} - q^{2} t^{6} - t^{7}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 5], [0, 6], [1, 3], [1, 4], [1, 6], [2, 3], [2, 4], [2, 5], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{23} + q^{21} t - 2 \, q^{19} t - 2 \, q^{18} t^{2} - 16 \, q^{18} t - 3 \, q^{17} t^{2} + 14 \, q^{17} t - 4 \, q^{16} t^{2} - q^{15} t^{3} - 3 \, q^{16} t + 37 \, q^{15} t^{2} + 10 \, q^{14} t^{3} - 3 \, q^{14} t^{2} + 3 \, q^{13} t^{3} - 12 \, q^{13} t^{2} - 22 \, q^{12} t^{3} + 2 \, q^{11} t^{4} + 2 \, q^{12} t^{2} - 22 \, q^{11} t^{3} - 12 \, q^{10} t^{4} + 3 \, q^{10} t^{3} - 3 \, q^{9} t^{4} + 10 \, q^{9} t^{3} + 37 \, q^{8} t^{4} - 3 \, q^{7} t^{5} - q^{8} t^{3} - 4 \, q^{7} t^{4} + 14 \, q^{6} t^{5} - 3 \, q^{6} t^{4} - 16 \, q^{5} t^{5} - 2 \, q^{5} t^{4} - 2 \, q^{4} t^{5} + q^{2} t^{5} + t^{6}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 5], [0, 6], [1, 3], [1, 4], [1, 6], [2, 3], [2, 4], [2, 5], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + q^{18} t - q^{17} t + 4 \, q^{16} t - q^{15} t^{2} - 22 \, q^{15} t - 4 \, q^{14} t^{2} + 16 \, q^{14} t + 2 \, q^{13} t^{2} - 3 \, q^{13} t + 11 \, q^{12} t^{2} + 13 \, q^{11} t^{2} + 11 \, q^{10} t^{3} - 11 \, q^{10} t^{2} - 13 \, q^{9} t^{3} - 11 \, q^{8} t^{3} + 3 \, q^{7} t^{4} - 2 \, q^{7} t^{3} - 16 \, q^{6} t^{4} + 4 \, q^{6} t^{3} + 22 \, q^{5} t^{4} + q^{5} t^{3} - 4 \, q^{4} t^{4} + q^{3} t^{4} - q^{2} t^{4} - t^{5}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 5], [0, 6], [1, 3], [1, 4], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + q^{18} t - q^{17} t + 2 \, q^{16} t - q^{15} t^{2} - 18 \, q^{15} t - 2 \, q^{14} t^{2} + 14 \, q^{14} t - 2 \, q^{13} t^{2} - 3 \, q^{13} t + 17 \, q^{12} t^{2} + 5 \, q^{11} t^{2} + 7 \, q^{10} t^{3} - 7 \, q^{10} t^{2} - 5 \, q^{9} t^{3} - 17 \, q^{8} t^{3} + 3 \, q^{7} t^{4} + 2 \, q^{7} t^{3} - 14 \, q^{6} t^{4} + 2 \, q^{6} t^{3} + 18 \, q^{5} t^{4} + q^{5} t^{3} - 2 \, q^{4} t^{4} + q^{3} t^{4} - q^{2} t^{4} - t^{5}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 5], [0, 6], [1, 3], [1, 4], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + q^{16} t + 5 \, q^{14} t - 3 \, q^{13} t^{2} - 20 \, q^{13} t - 2 \, q^{12} t^{2} + 4 \, q^{12} t - 3 \, q^{11} t^{2} - 3 \, q^{10} t^{3} + 8 \, q^{11} t + 24 \, q^{10} t^{2} + 18 \, q^{9} t^{3} - 3 \, q^{10} t + 9 \, q^{9} t^{2} - 9 \, q^{8} t^{3} + 3 \, q^{7} t^{4} - 18 \, q^{8} t^{2} - 24 \, q^{7} t^{3} - 8 \, q^{6} t^{4} + 3 \, q^{7} t^{2} + 3 \, q^{6} t^{3} - 4 \, q^{5} t^{4} + 2 \, q^{5} t^{3} + 20 \, q^{4} t^{4} + 3 \, q^{4} t^{3} - 5 \, q^{3} t^{4} - q t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 5], [1, 3], [1, 4], [1, 5], [2, 3], [2, 4], [2, 6], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 2 \, q^{15} t + 2 \, q^{14} t - q^{13} t^{2} - 14 \, q^{13} t - 6 \, q^{12} t^{2} - 2 \, q^{12} t - 5 \, q^{11} t^{2} + 2 \, q^{10} t^{3} + 10 \, q^{11} t + 42 \, q^{10} t^{2} - 2 \, q^{9} t^{3} - 3 \, q^{10} t - 20 \, q^{9} t^{2} + 20 \, q^{8} t^{3} + 3 \, q^{7} t^{4} + 2 \, q^{8} t^{2} - 42 \, q^{7} t^{3} - 10 \, q^{6} t^{4} - 2 \, q^{7} t^{2} + 5 \, q^{6} t^{3} + 2 \, q^{5} t^{4} + 6 \, q^{5} t^{3} + 14 \, q^{4} t^{4} + q^{4} t^{3} - 2 \, q^{3} t^{4} - 2 \, q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 5], [0, 6], [1, 3], [1, 4], [1, 5], [2, 3], [2, 4], [2, 6], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{22} + q^{20} t - 2 \, q^{19} t + 6 \, q^{18} t - 19 \, q^{17} t - 2 \, q^{16} t^{2} + 10 \, q^{16} t - 3 \, q^{15} t^{2} - q^{15} t + 11 \, q^{14} t^{2} - 7 \, q^{13} t^{2} - 3 \, q^{12} t^{3} + 28 \, q^{12} t^{2} + 20 \, q^{11} t^{3} - 20 \, q^{11} t^{2} - 28 \, q^{10} t^{3} + 3 \, q^{10} t^{2} + 7 \, q^{9} t^{3} - 11 \, q^{8} t^{3} + q^{7} t^{4} + 3 \, q^{7} t^{3} - 10 \, q^{6} t^{4} + 2 \, q^{6} t^{3} + 19 \, q^{5} t^{4} - 6 \, q^{4} t^{4} + 2 \, q^{3} t^{4} - q^{2} t^{4} - t^{5}}{{\left(q^{5} - t\right)} {\left(q^{4} - t\right)}^{2} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 5], [0, 6], [1, 3], [1, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + q^{15} t - 2 \, q^{14} t + 6 \, q^{13} t - 20 \, q^{12} t - 2 \, q^{11} t^{2} + 14 \, q^{11} t - 3 \, q^{10} t + 5 \, q^{9} t^{2} + 5 \, q^{8} t^{2} - 3 \, q^{7} t^{3} + 14 \, q^{6} t^{3} - 2 \, q^{6} t^{2} - 20 \, q^{5} t^{3} + 6 \, q^{4} t^{3} - 2 \, q^{3} t^{3} + q^{2} t^{3} + t^{4}}{{\left(q^{4} - t\right)}^{2} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 15 edges: | [[0, 5], [0, 6], [1, 3], [1, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{22} + q^{21} t - 2 \, q^{20} t + 2 \, q^{19} t - 2 \, q^{18} t^{2} - 2 \, q^{18} t - 2 \, q^{17} t^{2} - 16 \, q^{17} t + 7 \, q^{16} t^{2} + q^{15} t^{3} + 14 \, q^{16} t - 10 \, q^{15} t^{2} + 2 \, q^{14} t^{3} - 3 \, q^{15} t + 38 \, q^{14} t^{2} + 9 \, q^{13} t^{3} - 12 \, q^{13} t^{2} - 20 \, q^{12} t^{3} - 4 \, q^{12} t^{2} - 4 \, q^{11} t^{3} - 4 \, q^{10} t^{4} - 20 \, q^{10} t^{3} - 12 \, q^{9} t^{4} + 9 \, q^{9} t^{3} + 38 \, q^{8} t^{4} - 3 \, q^{7} t^{5} + 2 \, q^{8} t^{3} - 10 \, q^{7} t^{4} + 14 \, q^{6} t^{5} + q^{7} t^{3} + 7 \, q^{6} t^{4} - 16 \, q^{5} t^{5} - 2 \, q^{5} t^{4} - 2 \, q^{4} t^{5} - 2 \, q^{4} t^{4} + 2 \, q^{3} t^{5} - 2 \, q^{2} t^{5} + q t^{5} + t^{6}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 6], [1, 3], [1, 4], [1, 5], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{15} t + q^{15} - 2 \, q^{14} t - 2 \, q^{11} t^{2} + 2 \, q^{11} t + 2 \, q^{10} t^{2} - 10 \, q^{10} t + 4 \, q^{9} t^{2} + 6 \, q^{9} t - q^{8} t^{2} - q^{7} t^{3} - q^{8} t - q^{7} t^{2} + 6 \, q^{6} t^{3} + 4 \, q^{6} t^{2} - 10 \, q^{5} t^{3} + 2 \, q^{5} t^{2} + 2 \, q^{4} t^{3} - 2 \, q^{4} t^{2} - 2 \, q t^{3} + t^{4} + t^{3}}{{\left(q^{4} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[1, 3], [1, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + q^{14} t - 2 \, q^{13} t + q^{12} t - q^{11} t^{2} - q^{11} t - q^{10} t^{2} - 8 \, q^{10} t + 4 \, q^{9} t^{2} + 6 \, q^{9} t + q^{8} t^{2} - q^{7} t^{3} - q^{8} t + q^{7} t^{2} + 6 \, q^{6} t^{3} + 4 \, q^{6} t^{2} - 8 \, q^{5} t^{3} - q^{5} t^{2} - q^{4} t^{3} - q^{4} t^{2} + q^{3} t^{3} - 2 \, q^{2} t^{3} + q t^{3} + t^{4}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 6], [1, 3], [1, 4], [1, 5], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + q^{15} t - 2 \, q^{14} t + 2 \, q^{12} t - 2 \, q^{11} t^{2} - 10 \, q^{11} t + 2 \, q^{10} t^{2} + 6 \, q^{10} t + 4 \, q^{9} t^{2} - q^{9} t - 2 \, q^{8} t^{2} - q^{7} t^{3} + 4 \, q^{7} t^{2} + 6 \, q^{6} t^{3} + 2 \, q^{6} t^{2} - 10 \, q^{5} t^{3} - 2 \, q^{5} t^{2} + 2 \, q^{4} t^{3} - 2 \, q^{2} t^{3} + q t^{3} + t^{4}}{{\left(q^{4} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 15 edges: | [[0, 6], [1, 3], [1, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + q^{13} t + 4 \, q^{12} t - 12 \, q^{11} t - 2 \, q^{10} t^{2} - 2 \, q^{10} t - 5 \, q^{9} t^{2} + 6 \, q^{9} t + 10 \, q^{8} t^{2} - q^{7} t^{3} - q^{8} t + 10 \, q^{7} t^{2} + 6 \, q^{6} t^{3} - 5 \, q^{6} t^{2} - 2 \, q^{5} t^{3} - 2 \, q^{5} t^{2} - 12 \, q^{4} t^{3} + 4 \, q^{3} t^{3} + q^{2} t^{3} + t^{4}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 5], [0, 6], [1, 3], [1, 4], [1, 6], [2, 3], [2, 4], [2, 6], [3, 4], [3, 5], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + 2 \, q^{13} t - q^{11} t^{2} - 7 \, q^{11} t - 4 \, q^{10} t - 4 \, q^{9} t^{2} + 6 \, q^{9} t + 8 \, q^{8} t^{2} - q^{7} t^{3} - q^{8} t + 8 \, q^{7} t^{2} + 6 \, q^{6} t^{3} - 4 \, q^{6} t^{2} - 4 \, q^{5} t^{3} - 7 \, q^{4} t^{3} - q^{4} t^{2} + 2 \, q^{2} t^{3} + t^{4}}{{\left(q^{4} - t\right)} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 5], [0, 6], [1, 3], [1, 4], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 6], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + q^{13} t + 4 \, q^{12} t - 12 \, q^{11} t - 2 \, q^{10} t^{2} - 2 \, q^{10} t - 5 \, q^{9} t^{2} + 6 \, q^{9} t + 10 \, q^{8} t^{2} - q^{7} t^{3} - q^{8} t + 10 \, q^{7} t^{2} + 6 \, q^{6} t^{3} - 5 \, q^{6} t^{2} - 2 \, q^{5} t^{3} - 2 \, q^{5} t^{2} - 12 \, q^{4} t^{3} + 4 \, q^{3} t^{3} + q^{2} t^{3} + t^{4}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 5], [0, 6], [1, 3], [1, 4], [1, 6], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{13} + q^{11} t + 2 \, q^{10} t - 3 \, q^{9} t - 10 \, q^{8} t + q^{7} t^{2} + 8 \, q^{7} t - 8 \, q^{6} t^{2} - q^{6} t + 10 \, q^{5} t^{2} + 3 \, q^{4} t^{2} - 2 \, q^{3} t^{2} - q^{2} t^{2} - t^{3}}{{\left(q^{4} - t\right)} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 5], [0, 6], [1, 3], [1, 4], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + 2 \, q^{13} t - 4 \, q^{12} t - q^{11} t^{2} + q^{11} t - 8 \, q^{10} t + 6 \, q^{9} t + 4 \, q^{8} t^{2} - q^{7} t^{3} - q^{8} t + 4 \, q^{7} t^{2} + 6 \, q^{6} t^{3} - 8 \, q^{5} t^{3} + q^{4} t^{3} - q^{4} t^{2} - 4 \, q^{3} t^{3} + 2 \, q^{2} t^{3} + t^{4}}{{\left(q^{4} - t\right)} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 5], [0, 6], [1, 3], [1, 4], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + q^{13} t - 4 \, q^{11} t - 2 \, q^{10} t^{2} - 6 \, q^{10} t - q^{9} t^{2} + 6 \, q^{9} t + 6 \, q^{8} t^{2} - q^{7} t^{3} - q^{8} t + 6 \, q^{7} t^{2} + 6 \, q^{6} t^{3} - q^{6} t^{2} - 6 \, q^{5} t^{3} - 2 \, q^{5} t^{2} - 4 \, q^{4} t^{3} + q^{2} t^{3} + t^{4}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 5], [0, 6], [1, 3], [1, 4], [1, 6], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + q^{14} t - q^{13} t - q^{12} t - q^{11} t^{2} - 8 \, q^{11} t - q^{10} t^{2} + 6 \, q^{10} t + 3 \, q^{9} t^{2} - q^{9} t + 4 \, q^{8} t^{2} - q^{7} t^{3} + 3 \, q^{7} t^{2} + 6 \, q^{6} t^{3} - q^{6} t^{2} - 8 \, q^{5} t^{3} - q^{5} t^{2} - q^{4} t^{3} - q^{3} t^{3} + q^{2} t^{3} + t^{4}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 15 edges: | [[0, 5], [0, 6], [1, 3], [1, 4], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + q^{14} t + q^{13} t - 3 \, q^{12} t - q^{11} t^{2} - 10 \, q^{11} t - 3 \, q^{10} t^{2} + 8 \, q^{10} t + 3 \, q^{9} t^{2} - q^{9} t + 8 \, q^{8} t^{2} - q^{7} t^{3} + 3 \, q^{7} t^{2} + 8 \, q^{6} t^{3} - 3 \, q^{6} t^{2} - 10 \, q^{5} t^{3} - q^{5} t^{2} - 3 \, q^{4} t^{3} + q^{3} t^{3} + q^{2} t^{3} + t^{4}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 5], [0, 6], [1, 3], [1, 4], [1, 5], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + q^{14} t - q^{13} t + q^{12} t - q^{11} t^{2} - 12 \, q^{11} t - q^{10} t^{2} + 8 \, q^{10} t - q^{9} t^{2} - q^{9} t + 12 \, q^{8} t^{2} - q^{7} t^{3} - q^{7} t^{2} + 8 \, q^{6} t^{3} - q^{6} t^{2} - 12 \, q^{5} t^{3} - q^{5} t^{2} + q^{4} t^{3} - q^{3} t^{3} + q^{2} t^{3} + t^{4}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 5], [0, 6], [1, 3], [1, 4], [1, 5], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{22} + q^{20} t - 2 \, q^{19} t + 2 \, q^{18} t - 9 \, q^{17} t - 2 \, q^{16} t^{2} + 2 \, q^{16} t - q^{15} t^{2} + q^{15} t + 9 \, q^{14} t^{2} - 5 \, q^{13} t^{2} - q^{12} t^{3} + 20 \, q^{12} t^{2} + 12 \, q^{11} t^{3} - 12 \, q^{11} t^{2} - 20 \, q^{10} t^{3} + q^{10} t^{2} + 5 \, q^{9} t^{3} - 9 \, q^{8} t^{3} - q^{7} t^{4} + q^{7} t^{3} - 2 \, q^{6} t^{4} + 2 \, q^{6} t^{3} + 9 \, q^{5} t^{4} - 2 \, q^{4} t^{4} + 2 \, q^{3} t^{4} - q^{2} t^{4} - t^{5}}{{\left(q^{5} - t\right)} {\left(q^{4} - t\right)}^{2} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 15 edges: | [[0, 5], [0, 6], [1, 3], [1, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + q^{15} t - 2 \, q^{14} t + 2 \, q^{13} t - 10 \, q^{12} t - 2 \, q^{11} t^{2} + 6 \, q^{11} t + 2 \, q^{10} t^{2} - q^{10} t + 3 \, q^{9} t^{2} + 3 \, q^{8} t^{2} - q^{7} t^{3} + 2 \, q^{7} t^{2} + 6 \, q^{6} t^{3} - 2 \, q^{6} t^{2} - 10 \, q^{5} t^{3} + 2 \, q^{4} t^{3} - 2 \, q^{3} t^{3} + q^{2} t^{3} + t^{4}}{{\left(q^{4} - t\right)}^{2} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 16 edges: | [[0, 5], [0, 6], [1, 3], [1, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{21} + 6 \, q^{19} t - 10 \, q^{18} t - 6 \, q^{17} t^{2} - 14 \, q^{17} t - 22 \, q^{16} t^{2} + 12 \, q^{16} t + 59 \, q^{15} t^{2} + 18 \, q^{14} t^{3} + q^{13} t^{4} + 14 \, q^{14} t^{2} + 36 \, q^{13} t^{3} + 4 \, q^{12} t^{4} - q^{14} t - 20 \, q^{13} t^{2} - 124 \, q^{12} t^{3} - 48 \, q^{11} t^{4} - 4 \, q^{10} t^{5} - 8 \, q^{12} t^{2} - 8 \, q^{11} t^{3} + 8 \, q^{10} t^{4} + 8 \, q^{9} t^{5} + 4 \, q^{11} t^{2} + 48 \, q^{10} t^{3} + 124 \, q^{9} t^{4} + 20 \, q^{8} t^{5} + q^{7} t^{6} - 4 \, q^{9} t^{3} - 36 \, q^{8} t^{4} - 14 \, q^{7} t^{5} - q^{8} t^{3} - 18 \, q^{7} t^{4} - 59 \, q^{6} t^{5} - 12 \, q^{5} t^{6} + 22 \, q^{5} t^{5} + 14 \, q^{4} t^{6} + 6 \, q^{4} t^{5} + 10 \, q^{3} t^{6} - 6 \, q^{2} t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 4], [0, 6], [1, 3], [1, 6], [2, 3], [2, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + q^{19} t + q^{18} t - q^{17} t^{2} - 2 \, q^{16} t^{2} - 15 \, q^{16} t - 5 \, q^{15} t^{2} - 2 \, q^{14} t^{3} + 2 \, q^{15} t + 6 \, q^{14} t^{2} + 12 \, q^{13} t^{3} + 8 \, q^{14} t + 20 \, q^{13} t^{2} - q^{12} t^{3} + q^{11} t^{4} - 3 \, q^{13} t + 17 \, q^{12} t^{2} - 4 \, q^{11} t^{3} + 2 \, q^{10} t^{4} - 23 \, q^{11} t^{2} - 30 \, q^{10} t^{3} - 23 \, q^{9} t^{4} + 2 \, q^{10} t^{2} - 4 \, q^{9} t^{3} + 17 \, q^{8} t^{4} - 3 \, q^{7} t^{5} + q^{9} t^{2} - q^{8} t^{3} + 20 \, q^{7} t^{4} + 8 \, q^{6} t^{5} + 12 \, q^{7} t^{3} + 6 \, q^{6} t^{4} + 2 \, q^{5} t^{5} - 2 \, q^{6} t^{3} - 5 \, q^{5} t^{4} - 15 \, q^{4} t^{5} - 2 \, q^{4} t^{4} - q^{3} t^{4} + q^{2} t^{5} + q t^{5} + t^{6}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 4], [1, 3], [1, 5], [2, 3], [2, 5], [2, 6], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{22} + 6 \, q^{20} t - 13 \, q^{19} t - 4 \, q^{18} t^{2} - q^{18} t - 20 \, q^{17} t^{2} - 6 \, q^{17} t + 40 \, q^{16} t^{2} + 14 \, q^{15} t^{3} + q^{14} t^{4} + 10 \, q^{16} t + 31 \, q^{15} t^{2} + 26 \, q^{14} t^{3} - 4 \, q^{13} t^{4} - 3 \, q^{15} t - 26 \, q^{14} t^{2} - 80 \, q^{13} t^{3} - 12 \, q^{12} t^{4} - q^{11} t^{5} + 2 \, q^{13} t^{2} - 12 \, q^{12} t^{3} - 2 \, q^{11} t^{4} + 3 \, q^{10} t^{5} - 3 \, q^{12} t^{2} + 2 \, q^{11} t^{3} + 12 \, q^{10} t^{4} - 2 \, q^{9} t^{5} + q^{11} t^{2} + 12 \, q^{10} t^{3} + 80 \, q^{9} t^{4} + 26 \, q^{8} t^{5} + 3 \, q^{7} t^{6} + 4 \, q^{9} t^{3} - 26 \, q^{8} t^{4} - 31 \, q^{7} t^{5} - 10 \, q^{6} t^{6} - q^{8} t^{3} - 14 \, q^{7} t^{4} - 40 \, q^{6} t^{5} + 6 \, q^{5} t^{6} + 20 \, q^{5} t^{5} + q^{4} t^{6} + 4 \, q^{4} t^{5} + 13 \, q^{3} t^{6} - 6 \, q^{2} t^{6} - t^{7}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 4], [0, 6], [1, 3], [1, 5], [2, 3], [2, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + 3 \, q^{18} t - 3 \, q^{17} t - 3 \, q^{16} t^{2} - 9 \, q^{16} t - 5 \, q^{15} t^{2} + q^{14} t^{3} - 4 \, q^{15} t + q^{14} t^{2} - q^{13} t^{3} + 10 \, q^{14} t + 41 \, q^{13} t^{2} + 21 \, q^{12} t^{3} + q^{11} t^{4} - 3 \, q^{13} t - 18 \, q^{12} t^{2} - 29 \, q^{11} t^{3} - 5 \, q^{10} t^{4} + 3 \, q^{11} t^{2} - 4 \, q^{10} t^{3} + 3 \, q^{9} t^{4} - 5 \, q^{10} t^{2} - 29 \, q^{9} t^{3} - 18 \, q^{8} t^{4} - 3 \, q^{7} t^{5} + q^{9} t^{2} + 21 \, q^{8} t^{3} + 41 \, q^{7} t^{4} + 10 \, q^{6} t^{5} - q^{7} t^{3} + q^{6} t^{4} - 4 \, q^{5} t^{5} + q^{6} t^{3} - 5 \, q^{5} t^{4} - 9 \, q^{4} t^{5} - 3 \, q^{4} t^{4} - 3 \, q^{3} t^{5} + 3 \, q^{2} t^{5} + t^{6}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 4], [0, 6], [1, 3], [1, 5], [2, 3], [2, 5], [2, 6], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{24} + 2 \, q^{22} t + 7 \, q^{21} t - q^{20} t^{2} - 31 \, q^{20} t - 14 \, q^{19} t^{2} + 12 \, q^{19} t + 9 \, q^{18} t^{2} + q^{17} t^{3} + 6 \, q^{18} t + 11 \, q^{17} t^{2} + 7 \, q^{16} t^{3} - 3 \, q^{17} t + 72 \, q^{16} t^{2} + 63 \, q^{15} t^{3} + 9 \, q^{14} t^{4} - 70 \, q^{15} t^{2} - 145 \, q^{14} t^{3} - 41 \, q^{13} t^{4} + 13 \, q^{14} t^{2} + 31 \, q^{13} t^{3} + 24 \, q^{12} t^{4} - q^{11} t^{5} + q^{13} t^{2} - 24 \, q^{12} t^{3} - 31 \, q^{11} t^{4} - 13 \, q^{10} t^{5} + 41 \, q^{11} t^{3} + 145 \, q^{10} t^{4} + 70 \, q^{9} t^{5} - 9 \, q^{10} t^{3} - 63 \, q^{9} t^{4} - 72 \, q^{8} t^{5} + 3 \, q^{7} t^{6} - 7 \, q^{8} t^{4} - 11 \, q^{7} t^{5} - 6 \, q^{6} t^{6} - q^{7} t^{4} - 9 \, q^{6} t^{5} - 12 \, q^{5} t^{6} + 14 \, q^{5} t^{5} + 31 \, q^{4} t^{6} + q^{4} t^{5} - 7 \, q^{3} t^{6} - 2 \, q^{2} t^{6} - t^{7}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 4], [0, 5], [1, 3], [1, 6], [2, 3], [2, 5], [2, 6], [3, 4], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + 2 \, q^{16} t + 3 \, q^{15} t - q^{14} t^{2} - 15 \, q^{14} t - 4 \, q^{13} t^{2} - 2 \, q^{13} t - 2 \, q^{12} t^{2} - q^{11} t^{3} + 10 \, q^{12} t + 15 \, q^{11} t^{2} + 5 \, q^{10} t^{3} - 3 \, q^{11} t + 12 \, q^{10} t^{2} + 6 \, q^{9} t^{3} - 6 \, q^{9} t^{2} - 12 \, q^{8} t^{3} + 3 \, q^{7} t^{4} - 5 \, q^{8} t^{2} - 15 \, q^{7} t^{3} - 10 \, q^{6} t^{4} + q^{7} t^{2} + 2 \, q^{6} t^{3} + 2 \, q^{5} t^{4} + 4 \, q^{5} t^{3} + 15 \, q^{4} t^{4} + q^{4} t^{3} - 3 \, q^{3} t^{4} - 2 \, q^{2} t^{4} - t^{5}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 4], [0, 5], [1, 3], [1, 6], [2, 3], [2, 5], [2, 6], [3, 4], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{19} + q^{17} t + 2 \, q^{16} t - 9 \, q^{15} t - 2 \, q^{14} t^{2} - 4 \, q^{14} t - 2 \, q^{13} t^{2} + 6 \, q^{13} t - 2 \, q^{12} t^{2} - q^{11} t^{3} - q^{12} t + 28 \, q^{11} t^{2} + 6 \, q^{10} t^{3} - 7 \, q^{10} t^{2} + 7 \, q^{9} t^{3} - 6 \, q^{9} t^{2} - 28 \, q^{8} t^{3} + q^{7} t^{4} + q^{8} t^{2} + 2 \, q^{7} t^{3} - 6 \, q^{6} t^{4} + 2 \, q^{6} t^{3} + 4 \, q^{5} t^{4} + 2 \, q^{5} t^{3} + 9 \, q^{4} t^{4} - 2 \, q^{3} t^{4} - q^{2} t^{4} - t^{5}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 4], [0, 5], [1, 3], [1, 5], [1, 6], [2, 3], [2, 5], [2, 6], [3, 4], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + q^{17} t - 2 \, q^{16} t + 2 \, q^{15} t - 2 \, q^{14} t^{2} - 5 \, q^{14} t - q^{13} t^{2} - 6 \, q^{13} t + 7 \, q^{12} t^{2} + q^{11} t^{3} + 6 \, q^{12} t - 4 \, q^{11} t^{2} - q^{11} t + 17 \, q^{10} t^{2} + 6 \, q^{9} t^{3} - 6 \, q^{9} t^{2} - 17 \, q^{8} t^{3} + q^{7} t^{4} + 4 \, q^{7} t^{3} - 6 \, q^{6} t^{4} - q^{7} t^{2} - 7 \, q^{6} t^{3} + 6 \, q^{5} t^{4} + q^{5} t^{3} + 5 \, q^{4} t^{4} + 2 \, q^{4} t^{3} - 2 \, q^{3} t^{4} + 2 \, q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 4], [1, 3], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{13} + q^{11} t + 2 \, q^{10} t - 5 \, q^{9} t - 6 \, q^{8} t + q^{7} t^{2} + 6 \, q^{7} t - 6 \, q^{6} t^{2} - q^{6} t + 6 \, q^{5} t^{2} + 5 \, q^{4} t^{2} - 2 \, q^{3} t^{2} - q^{2} t^{2} - t^{3}}{{\left(q^{4} - t\right)} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 4], [0, 6], [1, 3], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + 2 \, q^{13} t - 2 \, q^{12} t - q^{11} t^{2} - 3 \, q^{11} t - 6 \, q^{10} t - 2 \, q^{9} t^{2} + 6 \, q^{9} t + 6 \, q^{8} t^{2} - q^{7} t^{3} - q^{8} t + 6 \, q^{7} t^{2} + 6 \, q^{6} t^{3} - 2 \, q^{6} t^{2} - 6 \, q^{5} t^{3} - 3 \, q^{4} t^{3} - q^{4} t^{2} - 2 \, q^{3} t^{3} + 2 \, q^{2} t^{3} + t^{4}}{{\left(q^{4} - t\right)} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 4], [0, 5], [1, 3], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + 2 \, q^{18} t + 9 \, q^{17} t - q^{16} t^{2} - 38 \, q^{16} t - 18 \, q^{15} t^{2} + 24 \, q^{15} t + 27 \, q^{14} t^{2} + q^{13} t^{3} - 2 \, q^{14} t - 4 \, q^{13} t^{2} + 8 \, q^{12} t^{3} - q^{13} t + 50 \, q^{12} t^{2} + 39 \, q^{11} t^{3} + 11 \, q^{10} t^{4} - 50 \, q^{11} t^{2} - 116 \, q^{10} t^{3} - 50 \, q^{9} t^{4} + 11 \, q^{10} t^{2} + 39 \, q^{9} t^{3} + 50 \, q^{8} t^{4} - q^{7} t^{5} + 8 \, q^{8} t^{3} - 4 \, q^{7} t^{4} - 2 \, q^{6} t^{5} + q^{7} t^{3} + 27 \, q^{6} t^{4} + 24 \, q^{5} t^{5} - 18 \, q^{5} t^{4} - 38 \, q^{4} t^{5} - q^{4} t^{4} + 9 \, q^{3} t^{5} + 2 \, q^{2} t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 4], [0, 5], [1, 3], [1, 5], [2, 3], [2, 4], [2, 6], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + 5 \, q^{13} t - 10 \, q^{12} t - 4 \, q^{11} t - 3 \, q^{10} t^{2} + 6 \, q^{10} t - 4 \, q^{9} t^{2} - q^{9} t + 20 \, q^{8} t^{2} - q^{7} t^{3} - 4 \, q^{7} t^{2} + 6 \, q^{6} t^{3} - 3 \, q^{6} t^{2} - 4 \, q^{5} t^{3} - 10 \, q^{4} t^{3} + 5 \, q^{3} t^{3} + t^{4}}{{\left(q^{3} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 4], [0, 5], [0, 6], [1, 3], [1, 5], [1, 6], [2, 3], [2, 4], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{25} + 3 \, q^{22} t - 7 \, q^{21} t - 5 \, q^{20} t - 3 \, q^{19} t^{2} + 2 \, q^{19} t - 5 \, q^{18} t^{2} + q^{18} t + 17 \, q^{17} t^{2} + q^{16} t^{3} + 11 \, q^{16} t^{2} + q^{15} t^{3} + 3 \, q^{15} t^{2} + 15 \, q^{14} t^{3} - 9 \, q^{14} t^{2} - 27 \, q^{13} t^{3} + q^{12} t^{4} + q^{13} t^{2} - 27 \, q^{12} t^{3} - 9 \, q^{11} t^{4} + 15 \, q^{11} t^{3} + 3 \, q^{10} t^{4} + q^{10} t^{3} + 11 \, q^{9} t^{4} + q^{9} t^{3} + 17 \, q^{8} t^{4} + q^{7} t^{5} - 5 \, q^{7} t^{4} + 2 \, q^{6} t^{5} - 3 \, q^{6} t^{4} - 5 \, q^{5} t^{5} - 7 \, q^{4} t^{5} + 3 \, q^{3} t^{5} + t^{6}}{{\left(q^{5} - t\right)} {\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 4], [0, 5], [0, 6], [1, 3], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + 3 \, q^{17} t - 7 \, q^{16} t - 6 \, q^{15} t - 3 \, q^{14} t^{2} + 6 \, q^{14} t - 5 \, q^{13} t^{2} - q^{13} t + 26 \, q^{12} t^{2} + q^{11} t^{3} - 6 \, q^{11} t^{2} + q^{10} t^{3} - q^{10} t^{2} + 6 \, q^{9} t^{3} - q^{9} t^{2} - 26 \, q^{8} t^{3} + q^{7} t^{4} + 5 \, q^{7} t^{3} - 6 \, q^{6} t^{4} + 3 \, q^{6} t^{3} + 6 \, q^{5} t^{4} + 7 \, q^{4} t^{4} - 3 \, q^{3} t^{4} - t^{5}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 15 edges: | [[0, 4], [0, 5], [0, 6], [1, 3], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{13} + 4 \, q^{10} t - 6 \, q^{9} t - 6 \, q^{8} t + q^{7} t^{2} + 6 \, q^{7} t - 6 \, q^{6} t^{2} - q^{6} t + 6 \, q^{5} t^{2} + 6 \, q^{4} t^{2} - 4 \, q^{3} t^{2} - t^{3}}{{\left(q^{3} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 15 edges: | [[0, 4], [0, 5], [0, 6], [1, 3], [1, 5], [1, 6], [2, 3], [2, 4], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + q^{18} t - q^{17} t + 4 \, q^{16} t - q^{15} t^{2} - 22 \, q^{15} t - 6 \, q^{14} t^{2} + 16 \, q^{14} t + 8 \, q^{13} t^{2} - 3 \, q^{13} t + 7 \, q^{12} t^{2} + 2 \, q^{11} t^{3} + 9 \, q^{11} t^{2} + 5 \, q^{10} t^{3} - 5 \, q^{10} t^{2} - 9 \, q^{9} t^{3} - 2 \, q^{9} t^{2} - 7 \, q^{8} t^{3} + 3 \, q^{7} t^{4} - 8 \, q^{7} t^{3} - 16 \, q^{6} t^{4} + 6 \, q^{6} t^{3} + 22 \, q^{5} t^{4} + q^{5} t^{3} - 4 \, q^{4} t^{4} + q^{3} t^{4} - q^{2} t^{4} - t^{5}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 4], [0, 5], [1, 3], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{21} + 2 \, q^{18} t + 2 \, q^{17} t - 22 \, q^{16} t - q^{15} t^{2} + 16 \, q^{15} t - 12 \, q^{14} t^{2} - 3 \, q^{14} t + 23 \, q^{13} t^{2} + 8 \, q^{12} t^{2} + 2 \, q^{11} t^{3} - 6 \, q^{11} t^{2} + 6 \, q^{10} t^{3} - 2 \, q^{10} t^{2} - 8 \, q^{9} t^{3} - 23 \, q^{8} t^{3} + 3 \, q^{7} t^{4} + 12 \, q^{7} t^{3} - 16 \, q^{6} t^{4} + q^{6} t^{3} + 22 \, q^{5} t^{4} - 2 \, q^{4} t^{4} - 2 \, q^{3} t^{4} - t^{5}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 4], [0, 5], [0, 6], [1, 3], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{13} + 4 \, q^{10} t - 4 \, q^{9} t - 10 \, q^{8} t + q^{7} t^{2} + 8 \, q^{7} t - 8 \, q^{6} t^{2} - q^{6} t + 10 \, q^{5} t^{2} + 4 \, q^{4} t^{2} - 4 \, q^{3} t^{2} - t^{3}}{{\left(q^{3} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 4], [0, 5], [0, 6], [1, 3], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [3, 4], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{21} + 2 \, q^{18} t + 4 \, q^{17} t - 26 \, q^{16} t - q^{15} t^{2} + 18 \, q^{15} t - 16 \, q^{14} t^{2} - 3 \, q^{14} t + 31 \, q^{13} t^{2} + 2 \, q^{12} t^{2} + 4 \, q^{11} t^{3} - 2 \, q^{11} t^{2} + 2 \, q^{10} t^{3} - 4 \, q^{10} t^{2} - 2 \, q^{9} t^{3} - 31 \, q^{8} t^{3} + 3 \, q^{7} t^{4} + 16 \, q^{7} t^{3} - 18 \, q^{6} t^{4} + q^{6} t^{3} + 26 \, q^{5} t^{4} - 4 \, q^{4} t^{4} - 2 \, q^{3} t^{4} - t^{5}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 4], [0, 5], [0, 6], [1, 3], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 2 \, q^{14} t + q^{13} t - 16 \, q^{12} t - q^{11} t^{2} + 10 \, q^{11} t - 6 \, q^{10} t^{2} - q^{10} t + 10 \, q^{9} t^{2} + 10 \, q^{8} t^{2} - q^{7} t^{3} - 6 \, q^{7} t^{2} + 10 \, q^{6} t^{3} - q^{6} t^{2} - 16 \, q^{5} t^{3} + q^{4} t^{3} + 2 \, q^{3} t^{3} + t^{4}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 4], [0, 5], [0, 6], [1, 3], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{22} + 2 \, q^{19} t - 3 \, q^{18} t - 7 \, q^{17} t - q^{16} t^{2} + 2 \, q^{16} t - 2 \, q^{15} t^{2} + q^{15} t + 15 \, q^{13} t^{2} - q^{12} t^{3} + 6 \, q^{12} t^{2} + 9 \, q^{11} t^{3} - 9 \, q^{11} t^{2} - 6 \, q^{10} t^{3} + q^{10} t^{2} - 15 \, q^{9} t^{3} - q^{7} t^{4} + 2 \, q^{7} t^{3} - 2 \, q^{6} t^{4} + q^{6} t^{3} + 7 \, q^{5} t^{4} + 3 \, q^{4} t^{4} - 2 \, q^{3} t^{4} - t^{5}}{{\left(q^{5} - t\right)} {\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 15 edges: | [[0, 4], [0, 5], [0, 6], [1, 3], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 2 \, q^{14} t - 3 \, q^{13} t - 8 \, q^{12} t - q^{11} t^{2} + 6 \, q^{11} t - 2 \, q^{10} t^{2} - q^{10} t + 6 \, q^{9} t^{2} + 6 \, q^{8} t^{2} - q^{7} t^{3} - 2 \, q^{7} t^{2} + 6 \, q^{6} t^{3} - q^{6} t^{2} - 8 \, q^{5} t^{3} - 3 \, q^{4} t^{3} + 2 \, q^{3} t^{3} + t^{4}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 16 edges: | [[0, 4], [0, 5], [0, 6], [1, 3], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 2 \, q^{15} t + 4 \, q^{14} t - q^{13} t^{2} - 22 \, q^{13} t - 8 \, q^{12} t^{2} + 10 \, q^{12} t + 7 \, q^{11} t^{2} - 2 \, q^{10} t^{3} + 2 \, q^{11} t + 14 \, q^{10} t^{2} + 16 \, q^{9} t^{3} - q^{10} t + 12 \, q^{9} t^{2} - 12 \, q^{8} t^{3} + q^{7} t^{4} - 16 \, q^{8} t^{2} - 14 \, q^{7} t^{3} - 2 \, q^{6} t^{4} + 2 \, q^{7} t^{2} - 7 \, q^{6} t^{3} - 10 \, q^{5} t^{4} + 8 \, q^{5} t^{3} + 22 \, q^{4} t^{4} + q^{4} t^{3} - 4 \, q^{3} t^{4} - 2 \, q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 4], [0, 5], [1, 3], [1, 4], [2, 3], [2, 5], [2, 6], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + q^{13} t + 2 \, q^{12} t - 8 \, q^{11} t - 2 \, q^{10} t^{2} - 4 \, q^{10} t - 3 \, q^{9} t^{2} + 6 \, q^{9} t + 8 \, q^{8} t^{2} - q^{7} t^{3} - q^{8} t + 8 \, q^{7} t^{2} + 6 \, q^{6} t^{3} - 3 \, q^{6} t^{2} - 4 \, q^{5} t^{3} - 2 \, q^{5} t^{2} - 8 \, q^{4} t^{3} + 2 \, q^{3} t^{3} + q^{2} t^{3} + t^{4}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 4], [0, 5], [1, 3], [1, 4], [1, 6], [2, 3], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{23} + q^{20} t - 9 \, q^{18} t + 2 \, q^{17} t - 2 \, q^{16} t^{2} + q^{16} t - 2 \, q^{15} t^{2} + 8 \, q^{14} t^{2} + 17 \, q^{13} t^{2} - q^{12} t^{3} - 12 \, q^{12} t^{2} + 12 \, q^{11} t^{3} + q^{11} t^{2} - 17 \, q^{10} t^{3} - 8 \, q^{9} t^{3} + 2 \, q^{8} t^{3} - q^{7} t^{4} + 2 \, q^{7} t^{3} - 2 \, q^{6} t^{4} + 9 \, q^{5} t^{4} - q^{3} t^{4} - t^{5}}{{\left(q^{5} - t\right)} {\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 16 edges: | [[0, 4], [0, 5], [0, 6], [1, 3], [1, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + q^{15} t - 10 \, q^{13} t + 6 \, q^{12} t - 2 \, q^{11} t^{2} - q^{11} t + q^{10} t^{2} + 8 \, q^{9} t^{2} + q^{8} t^{2} - q^{7} t^{3} - 2 \, q^{7} t^{2} + 6 \, q^{6} t^{3} - 10 \, q^{5} t^{3} + q^{3} t^{3} + t^{4}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 17 edges: | [[0, 4], [0, 5], [0, 6], [1, 3], [1, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{19} + 2 \, q^{18} t - q^{17} t^{2} - 4 \, q^{16} t^{2} + 2 \, q^{15} t^{3} - 6 \, q^{16} t - 11 \, q^{15} t^{2} + q^{13} t^{4} - 18 \, q^{15} t + 36 \, q^{14} t^{2} + 6 \, q^{13} t^{3} + 2 \, q^{12} t^{4} + 22 \, q^{14} t - 5 \, q^{13} t^{2} + 42 \, q^{12} t^{3} - 29 \, q^{11} t^{4} - 4 \, q^{10} t^{5} - 8 \, q^{13} t + 26 \, q^{12} t^{2} - 124 \, q^{11} t^{3} + 30 \, q^{10} t^{4} + 8 \, q^{9} t^{5} + q^{12} t - 16 \, q^{11} t^{2} + 43 \, q^{10} t^{3} - 43 \, q^{9} t^{4} + 16 \, q^{8} t^{5} - q^{7} t^{6} - 8 \, q^{10} t^{2} - 30 \, q^{9} t^{3} + 124 \, q^{8} t^{4} - 26 \, q^{7} t^{5} + 8 \, q^{6} t^{6} + 4 \, q^{9} t^{2} + 29 \, q^{8} t^{3} - 42 \, q^{7} t^{4} + 5 \, q^{6} t^{5} - 22 \, q^{5} t^{6} - 2 \, q^{7} t^{3} - 6 \, q^{6} t^{4} - 36 \, q^{5} t^{5} + 18 \, q^{4} t^{6} - q^{6} t^{3} + 11 \, q^{4} t^{5} + 6 \, q^{3} t^{6} - 2 \, q^{4} t^{4} + 4 \, q^{3} t^{5} + q^{2} t^{5} - 2 \, q t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 3], [1, 5], [1, 6], [2, 5], [2, 6], [3, 4], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{21} + 8 \, q^{19} t - 14 \, q^{18} t - 2 \, q^{17} t^{2} - 16 \, q^{17} t - 44 \, q^{16} t^{2} + 22 \, q^{16} t + 101 \, q^{15} t^{2} - 2 \, q^{14} t^{3} + q^{13} t^{4} - 8 \, q^{15} t - 20 \, q^{14} t^{2} + 116 \, q^{13} t^{3} + 8 \, q^{12} t^{4} + q^{14} t - 10 \, q^{13} t^{2} - 240 \, q^{12} t^{3} - 40 \, q^{11} t^{4} - 4 \, q^{10} t^{5} - 8 \, q^{12} t^{2} + 60 \, q^{11} t^{3} - 60 \, q^{10} t^{4} + 8 \, q^{9} t^{5} + 4 \, q^{11} t^{2} + 40 \, q^{10} t^{3} + 240 \, q^{9} t^{4} + 10 \, q^{8} t^{5} - q^{7} t^{6} - 8 \, q^{9} t^{3} - 116 \, q^{8} t^{4} + 20 \, q^{7} t^{5} + 8 \, q^{6} t^{6} - q^{8} t^{3} + 2 \, q^{7} t^{4} - 101 \, q^{6} t^{5} - 22 \, q^{5} t^{6} + 44 \, q^{5} t^{5} + 16 \, q^{4} t^{6} + 2 \, q^{4} t^{5} + 14 \, q^{3} t^{6} - 8 \, q^{2} t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 3], [0, 6], [1, 5], [1, 6], [2, 5], [2, 6], [3, 4], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + 2 \, q^{14} t - q^{13} t^{2} + q^{13} t - 6 \, q^{12} t^{2} + 3 \, q^{11} t^{3} - 12 \, q^{12} t - 5 \, q^{11} t^{2} - 6 \, q^{10} t^{3} + 3 \, q^{9} t^{4} - 4 \, q^{11} t + 32 \, q^{10} t^{2} + 35 \, q^{9} t^{3} - 10 \, q^{8} t^{4} - q^{7} t^{5} + 8 \, q^{10} t + 6 \, q^{9} t^{2} - 42 \, q^{8} t^{3} - 4 \, q^{7} t^{4} - 4 \, q^{8} t^{2} - 42 \, q^{7} t^{3} + 6 \, q^{6} t^{4} + 8 \, q^{5} t^{5} - q^{8} t - 10 \, q^{7} t^{2} + 35 \, q^{6} t^{3} + 32 \, q^{5} t^{4} - 4 \, q^{4} t^{5} + 3 \, q^{6} t^{2} - 6 \, q^{5} t^{3} - 5 \, q^{4} t^{4} - 12 \, q^{3} t^{5} + 3 \, q^{4} t^{3} - 6 \, q^{3} t^{4} + q^{2} t^{5} - q^{2} t^{4} + 2 \, q t^{5} + t^{6}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 3], [1, 5], [1, 6], [2, 4], [2, 6], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + 2 \, q^{14} t - q^{13} t^{2} - q^{13} t - 6 \, q^{12} t^{2} + 3 \, q^{11} t^{3} - 6 \, q^{12} t - 3 \, q^{11} t^{2} - 2 \, q^{10} t^{3} + q^{9} t^{4} - 10 \, q^{11} t + 26 \, q^{10} t^{2} + 23 \, q^{9} t^{3} - 4 \, q^{8} t^{4} - q^{7} t^{5} + 10 \, q^{10} t + 14 \, q^{9} t^{2} - 34 \, q^{8} t^{3} - 12 \, q^{7} t^{4} - 12 \, q^{8} t^{2} - 34 \, q^{7} t^{3} + 14 \, q^{6} t^{4} + 10 \, q^{5} t^{5} - q^{8} t - 4 \, q^{7} t^{2} + 23 \, q^{6} t^{3} + 26 \, q^{5} t^{4} - 10 \, q^{4} t^{5} + q^{6} t^{2} - 2 \, q^{5} t^{3} - 3 \, q^{4} t^{4} - 6 \, q^{3} t^{5} + 3 \, q^{4} t^{3} - 6 \, q^{3} t^{4} - q^{2} t^{5} - q^{2} t^{4} + 2 \, q t^{5} + t^{6}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 3], [1, 5], [1, 6], [2, 4], [2, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{12} + q^{11} t + 2 \, q^{10} t - 2 \, q^{9} t^{2} - 2 \, q^{9} t - q^{8} t^{2} - q^{7} t^{3} - 16 \, q^{8} t + 12 \, q^{7} t + 12 \, q^{6} t^{2} + 12 \, q^{5} t^{3} - 16 \, q^{4} t^{3} - q^{5} t - q^{4} t^{2} - 2 \, q^{3} t^{3} - 2 \, q^{3} t^{2} + 2 \, q^{2} t^{3} + q t^{3} + t^{4}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 3], [1, 5], [1, 6], [2, 4], [2, 6], [3, 4], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + q^{15} t + q^{14} t - q^{13} t^{2} - 2 \, q^{13} t - 2 \, q^{12} t^{2} - 12 \, q^{12} t - 2 \, q^{11} t^{2} - 2 \, q^{10} t^{3} + 6 \, q^{11} t + 9 \, q^{10} t^{2} + 11 \, q^{9} t^{3} + 2 \, q^{10} t + 10 \, q^{9} t^{2} - 5 \, q^{8} t^{3} + q^{7} t^{4} - q^{9} t + 5 \, q^{8} t^{2} - 10 \, q^{7} t^{3} - 2 \, q^{6} t^{4} - 11 \, q^{7} t^{2} - 9 \, q^{6} t^{3} - 6 \, q^{5} t^{4} + 2 \, q^{6} t^{2} + 2 \, q^{5} t^{3} + 12 \, q^{4} t^{4} + 2 \, q^{4} t^{3} + 2 \, q^{3} t^{4} + q^{3} t^{3} - q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 3], [1, 5], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{21} + 2 \, q^{20} t - q^{19} t^{2} + q^{19} t - 6 \, q^{18} t^{2} + 3 \, q^{17} t^{3} - 10 \, q^{18} t - 15 \, q^{17} t^{2} + q^{15} t^{4} - 14 \, q^{17} t + 38 \, q^{16} t^{2} + 39 \, q^{15} t^{3} - 6 \, q^{14} t^{4} - q^{13} t^{5} + 16 \, q^{16} t + 31 \, q^{15} t^{2} - 10 \, q^{14} t^{3} - 19 \, q^{13} t^{4} - 8 \, q^{12} t^{5} - 2 \, q^{15} t + 2 \, q^{14} t^{2} - 127 \, q^{13} t^{3} - 52 \, q^{12} t^{4} + 37 \, q^{11} t^{5} + 4 \, q^{10} t^{6} - q^{14} t - 22 \, q^{13} t^{2} + 9 \, q^{12} t^{3} + 111 \, q^{11} t^{4} + 2 \, q^{10} t^{5} - 3 \, q^{9} t^{6} - 3 \, q^{12} t^{2} + 2 \, q^{11} t^{3} + 111 \, q^{10} t^{4} + 9 \, q^{9} t^{5} - 22 \, q^{8} t^{6} - q^{7} t^{7} + 4 \, q^{11} t^{2} + 37 \, q^{10} t^{3} - 52 \, q^{9} t^{4} - 127 \, q^{8} t^{5} + 2 \, q^{7} t^{6} - 2 \, q^{6} t^{7} - 8 \, q^{9} t^{3} - 19 \, q^{8} t^{4} - 10 \, q^{7} t^{5} + 31 \, q^{6} t^{6} + 16 \, q^{5} t^{7} - q^{8} t^{3} - 6 \, q^{7} t^{4} + 39 \, q^{6} t^{5} + 38 \, q^{5} t^{6} - 14 \, q^{4} t^{7} + q^{6} t^{4} - 15 \, q^{4} t^{6} - 10 \, q^{3} t^{7} + 3 \, q^{4} t^{5} - 6 \, q^{3} t^{6} + q^{2} t^{7} - q^{2} t^{6} + 2 \, q t^{7} + t^{8}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 3], [1, 4], [1, 5], [2, 4], [2, 6], [3, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{19} + 2 \, q^{18} t - q^{17} t^{2} - 4 \, q^{16} t^{2} + 2 \, q^{15} t^{3} - 2 \, q^{16} t - 11 \, q^{15} t^{2} + q^{13} t^{4} - 26 \, q^{15} t + 20 \, q^{14} t^{2} + 6 \, q^{13} t^{3} + 2 \, q^{12} t^{4} + 24 \, q^{14} t + 29 \, q^{13} t^{2} + 60 \, q^{12} t^{3} - 27 \, q^{11} t^{4} - 4 \, q^{10} t^{5} - 4 \, q^{13} t + 10 \, q^{12} t^{2} - 156 \, q^{11} t^{3} + 22 \, q^{10} t^{4} + 4 \, q^{9} t^{5} - q^{12} t - 22 \, q^{11} t^{2} + 51 \, q^{10} t^{3} - 51 \, q^{9} t^{4} + 22 \, q^{8} t^{5} + q^{7} t^{6} - 4 \, q^{10} t^{2} - 22 \, q^{9} t^{3} + 156 \, q^{8} t^{4} - 10 \, q^{7} t^{5} + 4 \, q^{6} t^{6} + 4 \, q^{9} t^{2} + 27 \, q^{8} t^{3} - 60 \, q^{7} t^{4} - 29 \, q^{6} t^{5} - 24 \, q^{5} t^{6} - 2 \, q^{7} t^{3} - 6 \, q^{6} t^{4} - 20 \, q^{5} t^{5} + 26 \, q^{4} t^{6} - q^{6} t^{3} + 11 \, q^{4} t^{5} + 2 \, q^{3} t^{6} - 2 \, q^{4} t^{4} + 4 \, q^{3} t^{5} + q^{2} t^{5} - 2 \, q t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 3], [1, 4], [1, 5], [2, 4], [2, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + q^{13} t - 2 \, q^{10} t^{2} - 8 \, q^{10} t + q^{8} t^{2} - q^{7} t^{3} + 4 \, q^{8} t + 8 \, q^{7} t^{2} + 4 \, q^{6} t^{3} - q^{7} t + q^{6} t^{2} - 8 \, q^{4} t^{3} - 2 \, q^{4} t^{2} + q t^{3} + t^{4}}{{\left(q^{3} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 3], [1, 4], [1, 5], [1, 6], [2, 4], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 2 \, q^{15} t - 2 \, q^{14} t - q^{13} t^{2} - 8 \, q^{13} t - 4 \, q^{12} t^{2} + q^{11} t^{2} + 2 \, q^{10} t^{3} + 4 \, q^{11} t + 24 \, q^{10} t^{2} - 2 \, q^{9} t^{3} - q^{10} t - 10 \, q^{9} t^{2} + 10 \, q^{8} t^{3} + q^{7} t^{4} + 2 \, q^{8} t^{2} - 24 \, q^{7} t^{3} - 4 \, q^{6} t^{4} - 2 \, q^{7} t^{2} - q^{6} t^{3} + 4 \, q^{5} t^{3} + 8 \, q^{4} t^{4} + q^{4} t^{3} + 2 \, q^{3} t^{4} - 2 \, q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 3], [0, 6], [1, 4], [1, 5], [1, 6], [2, 4], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{21} + 2 \, q^{19} t - 2 \, q^{18} t - q^{17} t^{2} - 7 \, q^{17} t - 4 \, q^{16} t^{2} - 4 \, q^{16} t - 3 \, q^{15} t^{2} + 2 \, q^{14} t^{3} + 6 \, q^{15} t + 24 \, q^{14} t^{2} - q^{13} t^{3} - q^{14} t + 8 \, q^{13} t^{2} + 20 \, q^{12} t^{3} + q^{11} t^{4} - 4 \, q^{12} t^{2} - 31 \, q^{11} t^{3} - 6 \, q^{10} t^{4} - 6 \, q^{11} t^{2} - 31 \, q^{10} t^{3} - 4 \, q^{9} t^{4} + q^{10} t^{2} + 20 \, q^{9} t^{3} + 8 \, q^{8} t^{4} - q^{7} t^{5} - q^{8} t^{3} + 24 \, q^{7} t^{4} + 6 \, q^{6} t^{5} + 2 \, q^{7} t^{3} - 3 \, q^{6} t^{4} - 4 \, q^{5} t^{5} - 4 \, q^{5} t^{4} - 7 \, q^{4} t^{5} - q^{4} t^{4} - 2 \, q^{3} t^{5} + 2 \, q^{2} t^{5} + t^{6}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 3], [0, 6], [1, 4], [1, 5], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 6], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{22} + q^{21} t - 2 \, q^{18} t^{2} - 6 \, q^{18} t - 2 \, q^{17} t^{2} - 10 \, q^{17} t - q^{16} t^{2} - q^{15} t^{3} + 12 \, q^{16} t + 4 \, q^{15} t^{2} + 8 \, q^{14} t^{3} - 3 \, q^{15} t + 34 \, q^{14} t^{2} + 3 \, q^{13} t^{3} - 12 \, q^{13} t^{2} - 6 \, q^{12} t^{3} + 2 \, q^{11} t^{4} - 8 \, q^{12} t^{2} - 28 \, q^{11} t^{3} - 8 \, q^{10} t^{4} + 2 \, q^{11} t^{2} - 6 \, q^{10} t^{3} - 12 \, q^{9} t^{4} + 3 \, q^{9} t^{3} + 34 \, q^{8} t^{4} - 3 \, q^{7} t^{5} + 8 \, q^{8} t^{3} + 4 \, q^{7} t^{4} + 12 \, q^{6} t^{5} - q^{7} t^{3} - q^{6} t^{4} - 10 \, q^{5} t^{5} - 2 \, q^{5} t^{4} - 6 \, q^{4} t^{5} - 2 \, q^{4} t^{4} + q t^{5} + t^{6}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 3], [1, 4], [1, 5], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{26} + q^{24} t + 3 \, q^{23} t - 12 \, q^{22} t - 5 \, q^{21} t^{2} - 8 \, q^{21} t + q^{20} t^{2} + 12 \, q^{20} t - 18 \, q^{19} t^{2} - q^{18} t^{3} - 3 \, q^{19} t + 87 \, q^{18} t^{2} + 27 \, q^{17} t^{3} - 43 \, q^{17} t^{2} - 15 \, q^{16} t^{3} + q^{15} t^{4} - 3 \, q^{16} t^{2} - 31 \, q^{15} t^{3} - 2 \, q^{14} t^{4} + 2 \, q^{15} t^{2} - 61 \, q^{14} t^{3} - 45 \, q^{13} t^{4} + 45 \, q^{13} t^{3} + 61 \, q^{12} t^{4} - 2 \, q^{11} t^{5} + 2 \, q^{12} t^{3} + 31 \, q^{11} t^{4} + 3 \, q^{10} t^{5} - q^{11} t^{3} + 15 \, q^{10} t^{4} + 43 \, q^{9} t^{5} - 27 \, q^{9} t^{4} - 87 \, q^{8} t^{5} + 3 \, q^{7} t^{6} + q^{8} t^{4} + 18 \, q^{7} t^{5} - 12 \, q^{6} t^{6} - q^{6} t^{5} + 8 \, q^{5} t^{6} + 5 \, q^{5} t^{5} + 12 \, q^{4} t^{6} - 3 \, q^{3} t^{6} - q^{2} t^{6} - t^{7}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 3], [0, 6], [1, 4], [1, 5], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + q^{13} t - 2 \, q^{12} t + 4 \, q^{11} t - 2 \, q^{10} t^{2} - 10 \, q^{10} t - 2 \, q^{9} t^{2} + 13 \, q^{8} t^{2} - q^{7} t^{3} + 4 \, q^{8} t - 12 \, q^{7} t^{2} + 4 \, q^{6} t^{3} - q^{7} t + 13 \, q^{6} t^{2} - 2 \, q^{5} t^{2} - 10 \, q^{4} t^{3} - 2 \, q^{4} t^{2} + 4 \, q^{3} t^{3} - 2 \, q^{2} t^{3} + q t^{3} + t^{4}}{{\left(q^{3} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 3], [1, 4], [1, 5], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + q^{13} t + 2 \, q^{12} t - 10 \, q^{11} t - 2 \, q^{10} t^{2} - q^{9} t^{2} + 4 \, q^{9} t + 6 \, q^{8} t^{2} - q^{7} t^{3} - q^{8} t + 6 \, q^{7} t^{2} + 4 \, q^{6} t^{3} - q^{6} t^{2} - 2 \, q^{5} t^{2} - 10 \, q^{4} t^{3} + 2 \, q^{3} t^{3} + q^{2} t^{3} + t^{4}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 3], [0, 6], [1, 4], [1, 5], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{26} + q^{24} t + 3 \, q^{23} t - 12 \, q^{22} t - 5 \, q^{21} t^{2} - 8 \, q^{21} t - q^{20} t^{2} + 12 \, q^{20} t - 10 \, q^{19} t^{2} - q^{18} t^{3} - 3 \, q^{19} t + 75 \, q^{18} t^{2} + 31 \, q^{17} t^{3} - 35 \, q^{17} t^{2} - 29 \, q^{16} t^{3} + q^{15} t^{4} - 5 \, q^{16} t^{2} - 15 \, q^{15} t^{3} - 4 \, q^{14} t^{4} + 2 \, q^{15} t^{2} - 65 \, q^{14} t^{3} - 41 \, q^{13} t^{4} + 41 \, q^{13} t^{3} + 65 \, q^{12} t^{4} - 2 \, q^{11} t^{5} + 4 \, q^{12} t^{3} + 15 \, q^{11} t^{4} + 5 \, q^{10} t^{5} - q^{11} t^{3} + 29 \, q^{10} t^{4} + 35 \, q^{9} t^{5} - 31 \, q^{9} t^{4} - 75 \, q^{8} t^{5} + 3 \, q^{7} t^{6} + q^{8} t^{4} + 10 \, q^{7} t^{5} - 12 \, q^{6} t^{6} + q^{6} t^{5} + 8 \, q^{5} t^{6} + 5 \, q^{5} t^{5} + 12 \, q^{4} t^{6} - 3 \, q^{3} t^{6} - q^{2} t^{6} - t^{7}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 3], [0, 5], [1, 4], [1, 5], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{21} + 8 \, q^{19} t - 16 \, q^{18} t - 2 \, q^{17} t^{2} - 4 \, q^{17} t - 48 \, q^{16} t^{2} + 101 \, q^{15} t^{2} + 14 \, q^{14} t^{3} + q^{13} t^{4} + 8 \, q^{15} t - 4 \, q^{14} t^{2} + 80 \, q^{13} t^{3} - 4 \, q^{12} t^{4} - 3 \, q^{14} t - 28 \, q^{13} t^{2} - 220 \, q^{12} t^{3} - 12 \, q^{11} t^{4} - 2 \, q^{10} t^{5} + 76 \, q^{11} t^{3} - 76 \, q^{10} t^{4} + 2 \, q^{11} t^{2} + 12 \, q^{10} t^{3} + 220 \, q^{9} t^{4} + 28 \, q^{8} t^{5} + 3 \, q^{7} t^{6} + 4 \, q^{9} t^{3} - 80 \, q^{8} t^{4} + 4 \, q^{7} t^{5} - 8 \, q^{6} t^{6} - q^{8} t^{3} - 14 \, q^{7} t^{4} - 101 \, q^{6} t^{5} + 48 \, q^{5} t^{5} + 4 \, q^{4} t^{6} + 2 \, q^{4} t^{5} + 16 \, q^{3} t^{6} - 8 \, q^{2} t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 3], [0, 4], [1, 5], [1, 6], [2, 5], [2, 6], [3, 4], [3, 6], [4, 5]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{21} + 5 \, q^{19} t - 10 \, q^{18} t - q^{17} t^{2} + 2 \, q^{17} t - 6 \, q^{16} t^{2} - q^{15} t^{3} - 12 \, q^{16} t - 8 \, q^{15} t^{2} + 4 \, q^{14} t^{3} + 12 \, q^{15} t + 48 \, q^{14} t^{2} + 4 \, q^{13} t^{3} - 3 \, q^{14} t - 19 \, q^{13} t^{2} + 6 \, q^{12} t^{3} + 2 \, q^{11} t^{4} + 9 \, q^{12} t^{2} - 23 \, q^{11} t^{3} - 10 \, q^{10} t^{4} - 10 \, q^{11} t^{2} - 23 \, q^{10} t^{3} + 9 \, q^{9} t^{4} + 2 \, q^{10} t^{2} + 6 \, q^{9} t^{3} - 19 \, q^{8} t^{4} - 3 \, q^{7} t^{5} + 4 \, q^{8} t^{3} + 48 \, q^{7} t^{4} + 12 \, q^{6} t^{5} + 4 \, q^{7} t^{3} - 8 \, q^{6} t^{4} - 12 \, q^{5} t^{5} - q^{6} t^{3} - 6 \, q^{5} t^{4} + 2 \, q^{4} t^{5} - q^{4} t^{4} - 10 \, q^{3} t^{5} + 5 \, q^{2} t^{5} + t^{6}}{{\left(q^{4} - t\right)}^{2} {\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 3], [0, 4], [1, 5], [1, 6], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + 2 \, q^{12} t + q^{11} t - q^{10} t^{2} - 12 \, q^{10} t - 2 \, q^{9} t^{2} + 2 \, q^{9} t - 2 \, q^{8} t^{2} - q^{7} t^{3} + 4 \, q^{8} t + 16 \, q^{7} t^{2} + 4 \, q^{6} t^{3} - q^{7} t - 2 \, q^{6} t^{2} + 2 \, q^{5} t^{3} - 2 \, q^{5} t^{2} - 12 \, q^{4} t^{3} - q^{4} t^{2} + q^{3} t^{3} + 2 \, q^{2} t^{3} + t^{4}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 3], [0, 4], [1, 5], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + q^{16} t + 3 \, q^{15} t - 14 \, q^{14} t - 5 \, q^{13} t^{2} + 2 \, q^{13} t + 3 \, q^{12} t^{2} + 4 \, q^{12} t + 2 \, q^{11} t^{2} - q^{10} t^{3} - q^{11} t + 26 \, q^{10} t^{2} + 17 \, q^{9} t^{3} - 17 \, q^{9} t^{2} - 26 \, q^{8} t^{3} + q^{7} t^{4} + q^{8} t^{2} - 2 \, q^{7} t^{3} - 4 \, q^{6} t^{4} - 3 \, q^{6} t^{3} - 2 \, q^{5} t^{4} + 5 \, q^{5} t^{3} + 14 \, q^{4} t^{4} - 3 \, q^{3} t^{4} - q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 3], [0, 4], [1, 4], [1, 5], [1, 6], [2, 4], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{19} + 3 \, q^{17} t - 2 \, q^{16} t - 3 \, q^{15} t^{2} - 16 \, q^{15} t - 10 \, q^{14} t^{2} + q^{13} t^{3} + 8 \, q^{14} t + 17 \, q^{13} t^{2} + 2 \, q^{13} t + 28 \, q^{12} t^{2} + 27 \, q^{11} t^{3} + 2 \, q^{10} t^{4} - q^{12} t - 10 \, q^{11} t^{2} - 38 \, q^{10} t^{3} - 9 \, q^{9} t^{4} - 9 \, q^{10} t^{2} - 38 \, q^{9} t^{3} - 10 \, q^{8} t^{4} - q^{7} t^{5} + 2 \, q^{9} t^{2} + 27 \, q^{8} t^{3} + 28 \, q^{7} t^{4} + 2 \, q^{6} t^{5} + 17 \, q^{6} t^{4} + 8 \, q^{5} t^{5} + q^{6} t^{3} - 10 \, q^{5} t^{4} - 16 \, q^{4} t^{5} - 3 \, q^{4} t^{4} - 2 \, q^{3} t^{5} + 3 \, q^{2} t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 3], [0, 6], [1, 4], [1, 6], [2, 3], [2, 5], [2, 6], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + 4 \, q^{16} t - 9 \, q^{15} t - 6 \, q^{14} t^{2} - 4 \, q^{14} t - 6 \, q^{13} t^{2} + 4 \, q^{12} t^{3} + 30 \, q^{12} t^{2} + 2 \, q^{11} t^{3} - q^{10} t^{4} + 4 \, q^{12} t + 12 \, q^{11} t^{2} + 16 \, q^{10} t^{3} + 2 \, q^{9} t^{4} - q^{11} t - 16 \, q^{10} t^{2} - 64 \, q^{9} t^{3} - 16 \, q^{8} t^{4} - q^{7} t^{5} + 2 \, q^{9} t^{2} + 16 \, q^{8} t^{3} + 12 \, q^{7} t^{4} + 4 \, q^{6} t^{5} - q^{8} t^{2} + 2 \, q^{7} t^{3} + 30 \, q^{6} t^{4} + 4 \, q^{6} t^{3} - 6 \, q^{5} t^{4} - 4 \, q^{4} t^{5} - 6 \, q^{4} t^{4} - 9 \, q^{3} t^{5} + 4 \, q^{2} t^{5} + t^{6}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 3], [0, 6], [1, 4], [1, 5], [2, 3], [2, 5], [2, 6], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{19} + 3 \, q^{17} t - 3 \, q^{15} t^{2} - 18 \, q^{15} t - 14 \, q^{14} t^{2} + q^{13} t^{3} + 4 \, q^{14} t + 17 \, q^{13} t^{2} + 4 \, q^{12} t^{3} + 8 \, q^{13} t + 46 \, q^{12} t^{2} + 21 \, q^{11} t^{3} - 3 \, q^{12} t - 32 \, q^{11} t^{2} - 36 \, q^{10} t^{3} + q^{9} t^{4} + q^{10} t^{2} - 36 \, q^{9} t^{3} - 32 \, q^{8} t^{4} - 3 \, q^{7} t^{5} + 21 \, q^{8} t^{3} + 46 \, q^{7} t^{4} + 8 \, q^{6} t^{5} + 4 \, q^{7} t^{3} + 17 \, q^{6} t^{4} + 4 \, q^{5} t^{5} + q^{6} t^{3} - 14 \, q^{5} t^{4} - 18 \, q^{4} t^{5} - 3 \, q^{4} t^{4} + 3 \, q^{2} t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 3], [0, 5], [1, 4], [1, 6], [2, 3], [2, 5], [2, 6], [3, 4], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + q^{16} t + 5 \, q^{15} t - 18 \, q^{14} t - 7 \, q^{13} t^{2} + 4 \, q^{13} t + 7 \, q^{12} t^{2} + 4 \, q^{12} t - 4 \, q^{11} t^{2} - q^{10} t^{3} - q^{11} t + 34 \, q^{10} t^{2} + 21 \, q^{9} t^{3} - 21 \, q^{9} t^{2} - 34 \, q^{8} t^{3} + q^{7} t^{4} + q^{8} t^{2} + 4 \, q^{7} t^{3} - 4 \, q^{6} t^{4} - 7 \, q^{6} t^{3} - 4 \, q^{5} t^{4} + 7 \, q^{5} t^{3} + 18 \, q^{4} t^{4} - 5 \, q^{3} t^{4} - q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 3], [0, 5], [1, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 6], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + 2 \, q^{18} t + 5 \, q^{17} t - q^{16} t^{2} - 28 \, q^{16} t - 12 \, q^{15} t^{2} + 16 \, q^{15} t + 11 \, q^{14} t^{2} + q^{13} t^{3} + 20 \, q^{13} t^{2} + 6 \, q^{12} t^{3} - q^{13} t + 22 \, q^{12} t^{2} + 35 \, q^{11} t^{3} + 7 \, q^{10} t^{4} - 32 \, q^{11} t^{2} - 104 \, q^{10} t^{3} - 32 \, q^{9} t^{4} + 7 \, q^{10} t^{2} + 35 \, q^{9} t^{3} + 22 \, q^{8} t^{4} - q^{7} t^{5} + 6 \, q^{8} t^{3} + 20 \, q^{7} t^{4} + q^{7} t^{3} + 11 \, q^{6} t^{4} + 16 \, q^{5} t^{5} - 12 \, q^{5} t^{4} - 28 \, q^{4} t^{5} - q^{4} t^{4} + 5 \, q^{3} t^{5} + 2 \, q^{2} t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 3], [0, 4], [1, 5], [1, 6], [2, 3], [2, 5], [2, 6], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + 6 \, q^{16} t - 13 \, q^{15} t - 6 \, q^{14} t^{2} - 2 \, q^{14} t - 14 \, q^{13} t^{2} + 4 \, q^{12} t^{3} + 46 \, q^{12} t^{2} + 2 \, q^{11} t^{3} - q^{10} t^{4} + 4 \, q^{12} t + 4 \, q^{11} t^{2} + 28 \, q^{10} t^{3} + 2 \, q^{9} t^{4} - q^{11} t - 16 \, q^{10} t^{2} - 88 \, q^{9} t^{3} - 16 \, q^{8} t^{4} - q^{7} t^{5} + 2 \, q^{9} t^{2} + 28 \, q^{8} t^{3} + 4 \, q^{7} t^{4} + 4 \, q^{6} t^{5} - q^{8} t^{2} + 2 \, q^{7} t^{3} + 46 \, q^{6} t^{4} + 4 \, q^{6} t^{3} - 14 \, q^{5} t^{4} - 2 \, q^{4} t^{5} - 6 \, q^{4} t^{4} - 13 \, q^{3} t^{5} + 6 \, q^{2} t^{5} + t^{6}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 3], [0, 4], [1, 5], [1, 6], [2, 3], [2, 5], [2, 6], [3, 4], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{19} + 3 \, q^{17} t - 3 \, q^{15} t^{2} - 18 \, q^{15} t - 14 \, q^{14} t^{2} + q^{13} t^{3} + 4 \, q^{14} t + 17 \, q^{13} t^{2} + 4 \, q^{12} t^{3} + 8 \, q^{13} t + 46 \, q^{12} t^{2} + 21 \, q^{11} t^{3} - 3 \, q^{12} t - 32 \, q^{11} t^{2} - 36 \, q^{10} t^{3} + q^{9} t^{4} + q^{10} t^{2} - 36 \, q^{9} t^{3} - 32 \, q^{8} t^{4} - 3 \, q^{7} t^{5} + 21 \, q^{8} t^{3} + 46 \, q^{7} t^{4} + 8 \, q^{6} t^{5} + 4 \, q^{7} t^{3} + 17 \, q^{6} t^{4} + 4 \, q^{5} t^{5} + q^{6} t^{3} - 14 \, q^{5} t^{4} - 18 \, q^{4} t^{5} - 3 \, q^{4} t^{4} + 3 \, q^{2} t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 3], [0, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{19} + 2 \, q^{17} t - 4 \, q^{16} t - q^{15} t^{2} + 4 \, q^{15} t - 18 \, q^{14} t - 6 \, q^{13} t^{2} + 14 \, q^{13} t + 16 \, q^{12} t^{2} - 3 \, q^{12} t - 3 \, q^{11} t^{2} + 8 \, q^{10} t^{3} + 12 \, q^{10} t^{2} - 12 \, q^{9} t^{3} - 8 \, q^{9} t^{2} + 3 \, q^{8} t^{3} + 3 \, q^{7} t^{4} - 16 \, q^{7} t^{3} - 14 \, q^{6} t^{4} + 6 \, q^{6} t^{3} + 18 \, q^{5} t^{4} - 4 \, q^{4} t^{4} + q^{4} t^{3} + 4 \, q^{3} t^{4} - 2 \, q^{2} t^{4} - t^{5}}{{\left(q^{4} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 3], [0, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + q^{16} t + 9 \, q^{15} t - 28 \, q^{14} t - 9 \, q^{13} t^{2} + 12 \, q^{13} t + 13 \, q^{12} t^{2} + 2 \, q^{12} t - 20 \, q^{11} t^{2} - 5 \, q^{10} t^{3} - q^{11} t + 60 \, q^{10} t^{2} + 39 \, q^{9} t^{3} - 39 \, q^{9} t^{2} - 60 \, q^{8} t^{3} + q^{7} t^{4} + 5 \, q^{8} t^{2} + 20 \, q^{7} t^{3} - 2 \, q^{6} t^{4} - 13 \, q^{6} t^{3} - 12 \, q^{5} t^{4} + 9 \, q^{5} t^{3} + 28 \, q^{4} t^{4} - 9 \, q^{3} t^{4} - q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 3], [0, 4], [1, 4], [1, 5], [1, 6], [2, 3], [2, 5], [2, 6], [3, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + q^{16} t + q^{15} t - 8 \, q^{14} t - 5 \, q^{13} t^{2} - 4 \, q^{13} t + 3 \, q^{12} t^{2} + 6 \, q^{12} t + 4 \, q^{11} t^{2} + q^{10} t^{3} - q^{11} t + 20 \, q^{10} t^{2} + 11 \, q^{9} t^{3} - 11 \, q^{9} t^{2} - 20 \, q^{8} t^{3} + q^{7} t^{4} - q^{8} t^{2} - 4 \, q^{7} t^{3} - 6 \, q^{6} t^{4} - 3 \, q^{6} t^{3} + 4 \, q^{5} t^{4} + 5 \, q^{5} t^{3} + 8 \, q^{4} t^{4} - q^{3} t^{4} - q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 3], [0, 4], [1, 4], [1, 5], [1, 6], [2, 3], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + 5 \, q^{13} t - 8 \, q^{12} t - 8 \, q^{11} t - 3 \, q^{10} t^{2} + 8 \, q^{10} t - 8 \, q^{9} t^{2} - q^{9} t + 28 \, q^{8} t^{2} - q^{7} t^{3} - 8 \, q^{7} t^{2} + 8 \, q^{6} t^{3} - 3 \, q^{6} t^{2} - 8 \, q^{5} t^{3} - 8 \, q^{4} t^{3} + 5 \, q^{3} t^{3} + t^{4}}{{\left(q^{3} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 3], [0, 4], [0, 6], [1, 4], [1, 5], [1, 6], [2, 3], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + q^{14} t - q^{13} t + q^{12} t - q^{11} t^{2} - 12 \, q^{11} t - 3 \, q^{10} t^{2} + 8 \, q^{10} t + 7 \, q^{9} t^{2} - q^{9} t - q^{7} t^{3} + 7 \, q^{7} t^{2} + 8 \, q^{6} t^{3} - 3 \, q^{6} t^{2} - 12 \, q^{5} t^{3} - q^{5} t^{2} + q^{4} t^{3} - q^{3} t^{3} + q^{2} t^{3} + t^{4}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 3], [0, 4], [1, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{21} + 2 \, q^{18} t - 16 \, q^{16} t - q^{15} t^{2} + 10 \, q^{15} t - 10 \, q^{14} t^{2} - q^{14} t + 17 \, q^{13} t^{2} + 14 \, q^{12} t^{2} + 2 \, q^{11} t^{3} - 8 \, q^{11} t^{2} + 8 \, q^{10} t^{3} - 2 \, q^{10} t^{2} - 14 \, q^{9} t^{3} - 17 \, q^{8} t^{3} + q^{7} t^{4} + 10 \, q^{7} t^{3} - 10 \, q^{6} t^{4} + q^{6} t^{3} + 16 \, q^{5} t^{4} - 2 \, q^{3} t^{4} - t^{5}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 3], [0, 4], [0, 5], [1, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{21} + 6 \, q^{19} t - 8 \, q^{18} t - 4 \, q^{17} t^{2} - 22 \, q^{17} t - 30 \, q^{16} t^{2} + 24 \, q^{16} t + 71 \, q^{15} t^{2} + 6 \, q^{14} t^{3} + q^{13} t^{4} - 8 \, q^{15} t + 6 \, q^{14} t^{2} + 80 \, q^{13} t^{3} + 8 \, q^{12} t^{4} + q^{14} t - 18 \, q^{13} t^{2} - 180 \, q^{12} t^{3} - 52 \, q^{11} t^{4} - 4 \, q^{10} t^{5} - 8 \, q^{12} t^{2} + 16 \, q^{11} t^{3} - 16 \, q^{10} t^{4} + 8 \, q^{9} t^{5} + 4 \, q^{11} t^{2} + 52 \, q^{10} t^{3} + 180 \, q^{9} t^{4} + 18 \, q^{8} t^{5} - q^{7} t^{6} - 8 \, q^{9} t^{3} - 80 \, q^{8} t^{4} - 6 \, q^{7} t^{5} + 8 \, q^{6} t^{6} - q^{8} t^{3} - 6 \, q^{7} t^{4} - 71 \, q^{6} t^{5} - 24 \, q^{5} t^{6} + 30 \, q^{5} t^{5} + 22 \, q^{4} t^{6} + 4 \, q^{4} t^{5} + 8 \, q^{3} t^{6} - 6 \, q^{2} t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 3], [0, 6], [1, 3], [1, 6], [2, 4], [2, 6], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{12} + q^{11} t + 4 \, q^{10} t - 2 \, q^{9} t^{2} - 12 \, q^{9} t + q^{8} t^{2} - q^{7} t^{3} + 2 \, q^{8} t - 8 \, q^{7} t^{2} + 4 \, q^{6} t^{3} - 2 \, q^{7} t + 24 \, q^{6} t^{2} - 2 \, q^{5} t^{3} + 4 \, q^{6} t - 8 \, q^{5} t^{2} + 2 \, q^{4} t^{3} - q^{5} t + q^{4} t^{2} - 12 \, q^{3} t^{3} - 2 \, q^{3} t^{2} + 4 \, q^{2} t^{3} + q t^{3} + t^{4}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 3], [0, 6], [1, 3], [1, 6], [2, 4], [2, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + 6 \, q^{13} t - 10 \, q^{12} t - 6 \, q^{11} t^{2} - 8 \, q^{11} t - 8 \, q^{10} t^{2} + 6 \, q^{10} t + 34 \, q^{9} t^{2} + 10 \, q^{8} t^{3} + q^{7} t^{4} + 2 \, q^{9} t - 2 \, q^{6} t^{4} - q^{8} t - 10 \, q^{7} t^{2} - 34 \, q^{6} t^{3} - 6 \, q^{5} t^{4} + 8 \, q^{5} t^{3} + 8 \, q^{4} t^{4} + 6 \, q^{4} t^{3} + 10 \, q^{3} t^{4} - 6 \, q^{2} t^{4} - t^{5}}{{\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 3], [0, 6], [1, 3], [1, 5], [2, 4], [2, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + 5 \, q^{13} t - 10 \, q^{12} t - 4 \, q^{11} t - q^{10} t^{2} + 6 \, q^{10} t - 12 \, q^{9} t^{2} - q^{9} t + 32 \, q^{8} t^{2} - q^{7} t^{3} - 12 \, q^{7} t^{2} + 6 \, q^{6} t^{3} - q^{6} t^{2} - 4 \, q^{5} t^{3} - 10 \, q^{4} t^{3} + 5 \, q^{3} t^{3} + t^{4}}{{\left(q^{3} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 3], [0, 5], [0, 6], [1, 3], [1, 5], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + 3 \, q^{17} t - 3 \, q^{16} t^{2} + q^{15} t^{3} - 3 \, q^{16} t - 5 \, q^{15} t^{2} + q^{14} t^{3} + q^{13} t^{4} - 6 \, q^{15} t + 8 \, q^{13} t^{3} - 4 \, q^{12} t^{4} - 10 \, q^{14} t + 26 \, q^{13} t^{2} + 10 \, q^{12} t^{3} - 4 \, q^{10} t^{5} + 10 \, q^{13} t + 11 \, q^{12} t^{2} - 23 \, q^{11} t^{3} - 21 \, q^{10} t^{4} + 11 \, q^{9} t^{5} - 43 \, q^{10} t^{3} + 13 \, q^{9} t^{4} + q^{8} t^{5} + q^{7} t^{6} - q^{11} t - q^{10} t^{2} - 13 \, q^{9} t^{3} + 43 \, q^{8} t^{4} - 11 \, q^{9} t^{2} + 21 \, q^{8} t^{3} + 23 \, q^{7} t^{4} - 11 \, q^{6} t^{5} - 10 \, q^{5} t^{6} + 4 \, q^{8} t^{2} - 10 \, q^{6} t^{4} - 26 \, q^{5} t^{5} + 10 \, q^{4} t^{6} + 4 \, q^{6} t^{3} - 8 \, q^{5} t^{4} + 6 \, q^{3} t^{6} - q^{5} t^{3} - q^{4} t^{4} + 5 \, q^{3} t^{5} + 3 \, q^{2} t^{6} - q^{3} t^{4} + 3 \, q^{2} t^{5} - 3 \, q t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 3], [1, 3], [1, 4], [2, 5], [2, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + q^{16} t + 5 \, q^{15} t - 18 \, q^{14} t - 5 \, q^{13} t^{2} + 4 \, q^{13} t - q^{12} t^{2} + 4 \, q^{12} t + 8 \, q^{11} t^{2} - q^{10} t^{3} - q^{11} t + 26 \, q^{10} t^{2} + 19 \, q^{9} t^{3} - 19 \, q^{9} t^{2} - 26 \, q^{8} t^{3} + q^{7} t^{4} + q^{8} t^{2} - 8 \, q^{7} t^{3} - 4 \, q^{6} t^{4} + q^{6} t^{3} - 4 \, q^{5} t^{4} + 5 \, q^{5} t^{3} + 18 \, q^{4} t^{4} - 5 \, q^{3} t^{4} - q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 3], [0, 6], [1, 3], [1, 4], [1, 6], [2, 4], [2, 5], [2, 6], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + q^{16} t + q^{14} t - 3 \, q^{13} t^{2} - 12 \, q^{13} t - 2 \, q^{12} t^{2} + 2 \, q^{12} t + 5 \, q^{11} t^{2} - q^{10} t^{3} + 4 \, q^{11} t + 8 \, q^{10} t^{2} + 14 \, q^{9} t^{3} - q^{10} t + 15 \, q^{9} t^{2} - 15 \, q^{8} t^{3} + q^{7} t^{4} - 14 \, q^{8} t^{2} - 8 \, q^{7} t^{3} - 4 \, q^{6} t^{4} + q^{7} t^{2} - 5 \, q^{6} t^{3} - 2 \, q^{5} t^{4} + 2 \, q^{5} t^{3} + 12 \, q^{4} t^{4} + 3 \, q^{4} t^{3} - q^{3} t^{4} - q t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 3], [1, 3], [1, 4], [1, 5], [2, 4], [2, 5], [2, 6], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 2 \, q^{15} t - 2 \, q^{14} t - q^{13} t^{2} - 6 \, q^{13} t - 6 \, q^{12} t^{2} - 4 \, q^{12} t + 5 \, q^{11} t^{2} + 2 \, q^{10} t^{3} + 6 \, q^{11} t + 18 \, q^{10} t^{2} + 2 \, q^{9} t^{3} - q^{10} t - 2 \, q^{9} t^{2} + 2 \, q^{8} t^{3} + q^{7} t^{4} - 2 \, q^{8} t^{2} - 18 \, q^{7} t^{3} - 6 \, q^{6} t^{4} - 2 \, q^{7} t^{2} - 5 \, q^{6} t^{3} + 4 \, q^{5} t^{4} + 6 \, q^{5} t^{3} + 6 \, q^{4} t^{4} + q^{4} t^{3} + 2 \, q^{3} t^{4} - 2 \, q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 3], [0, 6], [1, 3], [1, 4], [1, 5], [2, 4], [2, 5], [2, 6], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + 2 \, q^{18} t + 3 \, q^{17} t - q^{16} t^{2} - 22 \, q^{16} t - 14 \, q^{15} t^{2} + 10 \, q^{15} t + 21 \, q^{14} t^{2} + q^{13} t^{3} + 2 \, q^{14} t + 4 \, q^{13} t^{2} + 16 \, q^{12} t^{3} - q^{13} t + 30 \, q^{12} t^{2} - 5 \, q^{11} t^{3} + 5 \, q^{10} t^{4} - 30 \, q^{11} t^{2} - 44 \, q^{10} t^{3} - 30 \, q^{9} t^{4} + 5 \, q^{10} t^{2} - 5 \, q^{9} t^{3} + 30 \, q^{8} t^{4} - q^{7} t^{5} + 16 \, q^{8} t^{3} + 4 \, q^{7} t^{4} + 2 \, q^{6} t^{5} + q^{7} t^{3} + 21 \, q^{6} t^{4} + 10 \, q^{5} t^{5} - 14 \, q^{5} t^{4} - 22 \, q^{4} t^{5} - q^{4} t^{4} + 3 \, q^{3} t^{5} + 2 \, q^{2} t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 3], [0, 5], [1, 3], [1, 4], [2, 4], [2, 5], [2, 6], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{21} + 4 \, q^{18} t - 2 \, q^{17} t - 20 \, q^{16} t + q^{15} t^{2} + 16 \, q^{15} t - 22 \, q^{14} t^{2} - 3 \, q^{14} t + 33 \, q^{13} t^{2} + 12 \, q^{12} t^{2} - 14 \, q^{11} t^{2} + 14 \, q^{10} t^{3} - 12 \, q^{9} t^{3} - 33 \, q^{8} t^{3} + 3 \, q^{7} t^{4} + 22 \, q^{7} t^{3} - 16 \, q^{6} t^{4} - q^{6} t^{3} + 20 \, q^{5} t^{4} + 2 \, q^{4} t^{4} - 4 \, q^{3} t^{4} - t^{5}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 3], [0, 5], [0, 6], [1, 3], [1, 4], [1, 6], [2, 3], [2, 4], [2, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + q^{16} t + 7 \, q^{15} t - 20 \, q^{14} t - 7 \, q^{13} t^{2} + q^{12} t^{2} + 10 \, q^{12} t + 8 \, q^{11} t^{2} - q^{10} t^{3} - 3 \, q^{11} t + 28 \, q^{10} t^{2} + 21 \, q^{9} t^{3} - 21 \, q^{9} t^{2} - 28 \, q^{8} t^{3} + 3 \, q^{7} t^{4} + q^{8} t^{2} - 8 \, q^{7} t^{3} - 10 \, q^{6} t^{4} - q^{6} t^{3} + 7 \, q^{5} t^{3} + 20 \, q^{4} t^{4} - 7 \, q^{3} t^{4} - q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 3], [0, 4], [1, 3], [1, 5], [1, 6], [2, 3], [2, 5], [2, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{24} + 5 \, q^{21} t - 10 \, q^{20} t - 8 \, q^{19} t - q^{18} t^{2} + 8 \, q^{18} t - 28 \, q^{17} t^{2} - q^{17} t + 65 \, q^{16} t^{2} - q^{15} t^{3} - 12 \, q^{15} t^{2} + 14 \, q^{14} t^{3} - 9 \, q^{14} t^{2} + 13 \, q^{13} t^{3} - 72 \, q^{12} t^{3} + 13 \, q^{11} t^{3} - 9 \, q^{10} t^{4} + 14 \, q^{10} t^{3} - 12 \, q^{9} t^{4} - q^{9} t^{3} + 65 \, q^{8} t^{4} - q^{7} t^{5} - 28 \, q^{7} t^{4} + 8 \, q^{6} t^{5} - q^{6} t^{4} - 8 \, q^{5} t^{5} - 10 \, q^{4} t^{5} + 5 \, q^{3} t^{5} + t^{6}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 3], [0, 4], [0, 6], [1, 3], [1, 4], [1, 6], [2, 3], [2, 5], [2, 6], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + q^{15} t + 6 \, q^{14} t - 22 \, q^{13} t + 12 \, q^{12} t - 8 \, q^{11} t^{2} - q^{11} t + 13 \, q^{10} t^{2} - 4 \, q^{9} t^{2} + 13 \, q^{8} t^{2} - q^{7} t^{3} - 8 \, q^{7} t^{2} + 12 \, q^{6} t^{3} - 22 \, q^{5} t^{3} + 6 \, q^{4} t^{3} + q^{3} t^{3} + t^{4}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 3], [0, 4], [0, 5], [1, 3], [1, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + 10 \, q^{11} t - 24 \, q^{10} t + 12 \, q^{9} t - q^{8} t + q^{7} t^{2} - 12 \, q^{6} t^{2} + 24 \, q^{5} t^{2} - 10 \, q^{4} t^{2} - t^{3}}{{\left(q^{4} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 15 edges: | [[0, 3], [0, 4], [0, 5], [0, 6], [1, 3], [1, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + q^{15} t + 2 \, q^{14} t - 12 \, q^{13} t + 4 \, q^{12} t - 4 \, q^{11} t^{2} + q^{11} t + q^{10} t^{2} + 12 \, q^{9} t^{2} + q^{8} t^{2} + q^{7} t^{3} - 4 \, q^{7} t^{2} + 4 \, q^{6} t^{3} - 12 \, q^{5} t^{3} + 2 \, q^{4} t^{3} + q^{3} t^{3} + t^{4}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 15 edges: | [[0, 3], [0, 4], [0, 5], [1, 3], [1, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + 4 \, q^{16} t - 9 \, q^{15} t - 2 \, q^{14} t + 3 \, q^{13} t + q^{12} t^{2} - 18 \, q^{11} t^{2} + 40 \, q^{10} t^{2} - 18 \, q^{9} t^{2} + q^{8} t^{2} + 3 \, q^{7} t^{3} - 2 \, q^{6} t^{3} - 9 \, q^{5} t^{3} + 4 \, q^{4} t^{3} + t^{4}}{{\left(q^{5} - t\right)} {\left(q^{4} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 16 edges: | [[0, 3], [0, 4], [0, 5], [0, 6], [1, 3], [1, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + 4 \, q^{16} t - 11 \, q^{15} t + 2 \, q^{14} t + q^{13} t + q^{12} t^{2} - 14 \, q^{11} t^{2} + 32 \, q^{10} t^{2} - 14 \, q^{9} t^{2} + q^{8} t^{2} + q^{7} t^{3} + 2 \, q^{6} t^{3} - 11 \, q^{5} t^{3} + 4 \, q^{4} t^{3} + t^{4}}{{\left(q^{5} - t\right)} {\left(q^{4} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 17 edges: | [[0, 3], [0, 4], [0, 5], [0, 6], [1, 3], [1, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + 4 \, q^{11} t - 12 \, q^{10} t + 6 \, q^{9} t - q^{8} t + q^{7} t^{2} - 6 \, q^{6} t^{2} + 12 \, q^{5} t^{2} - 4 \, q^{4} t^{2} - t^{3}}{{\left(q^{4} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 18 edges: | [[0, 3], [0, 4], [0, 5], [0, 6], [1, 3], [1, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{11} t^{2} - 4 \, q^{10} t^{3} + 18 \, q^{9} t^{4} + 20 \, q^{8} t^{5} + q^{7} t^{6} + 4 \, q^{11} t - 6 \, q^{10} t^{2} - 64 \, q^{9} t^{3} - 46 \, q^{8} t^{4} - 96 \, q^{7} t^{5} - 8 \, q^{6} t^{6} + q^{11} + 16 \, q^{10} t - 16 \, q^{9} t^{2} + 292 \, q^{8} t^{3} + 77 \, q^{7} t^{4} + 112 \, q^{6} t^{5} + 22 \, q^{5} t^{6} - 64 \, q^{9} t - 46 \, q^{8} t^{2} - 250 \, q^{7} t^{3} - 224 \, q^{6} t^{4} + 94 \, q^{5} t^{5} - 14 \, q^{4} t^{6} + 38 \, q^{8} t + 218 \, q^{7} t^{2} - 184 \, q^{6} t^{3} + 184 \, q^{5} t^{4} - 218 \, q^{4} t^{5} - 38 \, q^{3} t^{6} + 14 \, q^{7} t - 94 \, q^{6} t^{2} + 224 \, q^{5} t^{3} + 250 \, q^{4} t^{4} + 46 \, q^{3} t^{5} + 64 \, q^{2} t^{6} - 22 \, q^{6} t - 112 \, q^{5} t^{2} - 77 \, q^{4} t^{3} - 292 \, q^{3} t^{4} + 16 \, q^{2} t^{5} - 16 \, q t^{6} - t^{7} + 8 \, q^{5} t + 96 \, q^{4} t^{2} + 46 \, q^{3} t^{3} + 64 \, q^{2} t^{4} + 6 \, q t^{5} - 4 \, t^{6} - q^{4} t - 20 \, q^{3} t^{2} - 18 \, q^{2} t^{3} + 4 \, q t^{4} - t^{5}}{{\left(q - t\right)}^{4} q^{7} {\left(t - 1\right)}^{4}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 4 edges: | [[1, 2], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{11} t^{2} - 4 \, q^{10} t^{3} + 12 \, q^{9} t^{4} + 4 \, q^{8} t^{5} - q^{7} t^{6} + 4 \, q^{11} t - 10 \, q^{10} t^{2} - 24 \, q^{9} t^{3} - 8 \, q^{8} t^{4} - 36 \, q^{7} t^{5} + 2 \, q^{6} t^{6} + q^{11} + 8 \, q^{10} t - 18 \, q^{9} t^{2} + 148 \, q^{8} t^{3} - 35 \, q^{7} t^{4} + 56 \, q^{6} t^{5} + 8 \, q^{5} t^{6} - 36 \, q^{9} t + 12 \, q^{8} t^{2} - 92 \, q^{7} t^{3} - 80 \, q^{6} t^{4} + 48 \, q^{5} t^{5} - 20 \, q^{4} t^{6} + 6 \, q^{8} t + 108 \, q^{7} t^{2} - 174 \, q^{6} t^{3} + 174 \, q^{5} t^{4} - 108 \, q^{4} t^{5} - 6 \, q^{3} t^{6} + 20 \, q^{7} t - 48 \, q^{6} t^{2} + 80 \, q^{5} t^{3} + 92 \, q^{4} t^{4} - 12 \, q^{3} t^{5} + 36 \, q^{2} t^{6} - 8 \, q^{6} t - 56 \, q^{5} t^{2} + 35 \, q^{4} t^{3} - 148 \, q^{3} t^{4} + 18 \, q^{2} t^{5} - 8 \, q t^{6} - t^{7} - 2 \, q^{5} t + 36 \, q^{4} t^{2} + 8 \, q^{3} t^{3} + 24 \, q^{2} t^{4} + 10 \, q t^{5} - 4 \, t^{6} + q^{4} t - 4 \, q^{3} t^{2} - 12 \, q^{2} t^{3} + 4 \, q t^{4} - t^{5}}{{\left(q - t\right)}^{4} q^{7} {\left(t - 1\right)}^{4}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 4 edges: | [[1, 2], [3, 6], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{10} t^{2} - 3 \, q^{9} t^{3} + 5 \, q^{8} t^{4} + q^{7} t^{5} + 4 \, q^{10} t - 10 \, q^{9} t^{2} - 2 \, q^{8} t^{3} - 4 \, q^{7} t^{4} - 4 \, q^{6} t^{5} + q^{10} + q^{9} t - 5 \, q^{8} t^{2} + 39 \, q^{7} t^{3} - 20 \, q^{6} t^{4} - 16 \, q^{8} t + 18 \, q^{7} t^{2} - 4 \, q^{6} t^{3} + 4 \, q^{5} t^{4} + 14 \, q^{4} t^{5} - 6 \, q^{7} t + 26 \, q^{6} t^{2} - 80 \, q^{5} t^{3} + 26 \, q^{4} t^{4} - 6 \, q^{3} t^{5} + 14 \, q^{6} t + 4 \, q^{5} t^{2} - 4 \, q^{4} t^{3} + 18 \, q^{3} t^{4} - 16 \, q^{2} t^{5} - 20 \, q^{4} t^{2} + 39 \, q^{3} t^{3} - 5 \, q^{2} t^{4} + q t^{5} + t^{6} - 4 \, q^{4} t - 4 \, q^{3} t^{2} - 2 \, q^{2} t^{3} - 10 \, q t^{4} + 4 \, t^{5} + q^{3} t + 5 \, q^{2} t^{2} - 3 \, q t^{3} + t^{4}}{{\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{4}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 5 edges: | [[1, 2], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{13} t^{2} + 4 \, q^{13} t - 2 \, q^{12} t^{2} - 3 \, q^{11} t^{3} + q^{13} - 4 \, q^{12} t - 6 \, q^{11} t^{2} + 6 \, q^{10} t^{3} + 7 \, q^{9} t^{4} + 9 \, q^{11} t - 16 \, q^{10} t^{2} - 22 \, q^{9} t^{3} - 14 \, q^{8} t^{4} + 3 \, q^{7} t^{5} - 38 \, q^{10} t + 25 \, q^{9} t^{2} + 108 \, q^{8} t^{3} + 10 \, q^{7} t^{4} - 14 \, q^{6} t^{5} + 20 \, q^{9} t + 54 \, q^{8} t^{2} - 99 \, q^{7} t^{3} - 44 \, q^{6} t^{4} + 14 \, q^{5} t^{5} + 14 \, q^{8} t - 44 \, q^{7} t^{2} - 99 \, q^{6} t^{3} + 54 \, q^{5} t^{4} + 20 \, q^{4} t^{5} - 14 \, q^{7} t + 10 \, q^{6} t^{2} + 108 \, q^{5} t^{3} + 25 \, q^{4} t^{4} - 38 \, q^{3} t^{5} + 3 \, q^{6} t - 14 \, q^{5} t^{2} - 22 \, q^{4} t^{3} - 16 \, q^{3} t^{4} + 9 \, q^{2} t^{5} + 7 \, q^{4} t^{2} + 6 \, q^{3} t^{3} - 6 \, q^{2} t^{4} - 4 \, q t^{5} + t^{6} - 3 \, q^{2} t^{3} - 2 \, q t^{4} + 4 \, t^{5} + t^{4}}{{\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{4}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 5 edges: | [[1, 2], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{13} t^{2} + 4 \, q^{13} t - 2 \, q^{12} t^{2} - 3 \, q^{11} t^{3} + q^{13} - 4 \, q^{12} t - 10 \, q^{11} t^{2} + 6 \, q^{10} t^{3} + 5 \, q^{9} t^{4} + q^{11} t - 2 \, q^{9} t^{3} - 10 \, q^{8} t^{4} + q^{7} t^{5} - 18 \, q^{10} t + 19 \, q^{9} t^{2} + 42 \, q^{8} t^{3} - 6 \, q^{6} t^{5} + 8 \, q^{9} t + 26 \, q^{8} t^{2} - 53 \, q^{7} t^{3} - 14 \, q^{6} t^{4} + 8 \, q^{5} t^{5} + 8 \, q^{8} t - 14 \, q^{7} t^{2} - 53 \, q^{6} t^{3} + 26 \, q^{5} t^{4} + 8 \, q^{4} t^{5} - 6 \, q^{7} t + 42 \, q^{5} t^{3} + 19 \, q^{4} t^{4} - 18 \, q^{3} t^{5} + q^{6} t - 10 \, q^{5} t^{2} - 2 \, q^{4} t^{3} + q^{2} t^{5} + 5 \, q^{4} t^{2} + 6 \, q^{3} t^{3} - 10 \, q^{2} t^{4} - 4 \, q t^{5} + t^{6} - 3 \, q^{2} t^{3} - 2 \, q t^{4} + 4 \, t^{5} + t^{4}}{{\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{4}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 6 edges: | [[1, 2], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{15} t - 2 \, q^{14} t^{2} - q^{13} t^{3} + q^{15} - 2 \, q^{13} t^{2} + 4 \, q^{12} t^{3} + 3 \, q^{11} t^{4} + 3 \, q^{13} t - 8 \, q^{12} t^{2} + 12 \, q^{11} t^{3} + 4 \, q^{10} t^{4} - 5 \, q^{9} t^{5} - 24 \, q^{12} t + 23 \, q^{11} t^{2} - 2 \, q^{10} t^{3} - 48 \, q^{9} t^{4} + 8 \, q^{8} t^{5} - q^{7} t^{6} + 10 \, q^{11} t + 18 \, q^{10} t^{2} - 19 \, q^{9} t^{3} + 28 \, q^{8} t^{4} + 13 \, q^{7} t^{5} + 6 \, q^{6} t^{6} + 8 \, q^{10} t + 8 \, q^{9} t^{2} - 42 \, q^{8} t^{3} + 42 \, q^{7} t^{4} - 8 \, q^{6} t^{5} - 8 \, q^{5} t^{6} - 6 \, q^{9} t - 13 \, q^{8} t^{2} - 28 \, q^{7} t^{3} + 19 \, q^{6} t^{4} - 18 \, q^{5} t^{5} - 10 \, q^{4} t^{6} + q^{8} t - 8 \, q^{7} t^{2} + 48 \, q^{6} t^{3} + 2 \, q^{5} t^{4} - 23 \, q^{4} t^{5} + 24 \, q^{3} t^{6} + 5 \, q^{6} t^{2} - 4 \, q^{5} t^{3} - 12 \, q^{4} t^{4} + 8 \, q^{3} t^{5} - 3 \, q^{2} t^{6} - 3 \, q^{4} t^{3} - 4 \, q^{3} t^{4} + 2 \, q^{2} t^{5} - t^{7} + q^{2} t^{4} + 2 \, q t^{5} - t^{6}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[1, 2], [1, 6], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + 4 \, q^{14} t + q^{13} t^{2} + q^{13} t - 10 \, q^{12} t^{2} - 3 \, q^{11} t^{3} - 24 \, q^{12} t - 9 \, q^{11} t^{2} - 2 \, q^{10} t^{3} + 5 \, q^{9} t^{4} + 10 \, q^{11} t + 38 \, q^{10} t^{2} + 59 \, q^{9} t^{3} - 6 \, q^{8} t^{4} + q^{7} t^{5} + 8 \, q^{10} t + 20 \, q^{9} t^{2} - 64 \, q^{8} t^{3} - 24 \, q^{7} t^{4} - 6 \, q^{6} t^{5} - 6 \, q^{9} t - 24 \, q^{8} t^{2} - 64 \, q^{7} t^{3} + 20 \, q^{6} t^{4} + 8 \, q^{5} t^{5} + q^{8} t - 6 \, q^{7} t^{2} + 59 \, q^{6} t^{3} + 38 \, q^{5} t^{4} + 10 \, q^{4} t^{5} + 5 \, q^{6} t^{2} - 2 \, q^{5} t^{3} - 9 \, q^{4} t^{4} - 24 \, q^{3} t^{5} - 3 \, q^{4} t^{3} - 10 \, q^{3} t^{4} + q^{2} t^{5} + q^{2} t^{4} + 4 \, q t^{5} + t^{6}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 6], [1, 2], [1, 6], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{24} t + q^{24} - 2 \, q^{23} t - 4 \, q^{22} t^{2} + 16 \, q^{22} t - 5 \, q^{21} t^{2} - 22 \, q^{20} t^{3} - 37 \, q^{21} t + 28 \, q^{20} t^{2} + 104 \, q^{19} t^{3} - 4 \, q^{20} t - 152 \, q^{19} t^{2} - 87 \, q^{18} t^{3} + 108 \, q^{17} t^{4} + q^{16} t^{5} + 32 \, q^{19} t + 369 \, q^{18} t^{2} - 58 \, q^{17} t^{3} - 463 \, q^{16} t^{4} - 10 \, q^{15} t^{5} - 18 \, q^{18} t - 237 \, q^{17} t^{2} + 332 \, q^{16} t^{3} + 499 \, q^{15} t^{4} - 182 \, q^{14} t^{5} - 3 \, q^{13} t^{6} + 3 \, q^{17} t + 24 \, q^{16} t^{2} - 805 \, q^{15} t^{3} + 20 \, q^{14} t^{4} + 877 \, q^{13} t^{5} + 38 \, q^{12} t^{6} + 14 \, q^{15} t^{2} + 527 \, q^{14} t^{3} - 544 \, q^{13} t^{4} - 1192 \, q^{12} t^{5} + 40 \, q^{11} t^{6} + q^{10} t^{7} - q^{14} t^{2} - 40 \, q^{13} t^{3} + 1192 \, q^{12} t^{4} + 544 \, q^{11} t^{5} - 527 \, q^{10} t^{6} - 14 \, q^{9} t^{7} - 38 \, q^{12} t^{3} - 877 \, q^{11} t^{4} - 20 \, q^{10} t^{5} + 805 \, q^{9} t^{6} - 24 \, q^{8} t^{7} - 3 \, q^{7} t^{8} + 3 \, q^{11} t^{3} + 182 \, q^{10} t^{4} - 499 \, q^{9} t^{5} - 332 \, q^{8} t^{6} + 237 \, q^{7} t^{7} + 18 \, q^{6} t^{8} + 10 \, q^{9} t^{4} + 463 \, q^{8} t^{5} + 58 \, q^{7} t^{6} - 369 \, q^{6} t^{7} - 32 \, q^{5} t^{8} - q^{8} t^{4} - 108 \, q^{7} t^{5} + 87 \, q^{6} t^{6} + 152 \, q^{5} t^{7} + 4 \, q^{4} t^{8} - 104 \, q^{5} t^{6} - 28 \, q^{4} t^{7} + 37 \, q^{3} t^{8} + 22 \, q^{4} t^{6} + 5 \, q^{3} t^{7} - 16 \, q^{2} t^{8} + 4 \, q^{2} t^{7} + 2 \, q t^{8} - t^{9} - t^{8}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[1, 2], [1, 6], [2, 5], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{15} t + q^{15} - 2 \, q^{14} t - 4 \, q^{13} t^{2} + 16 \, q^{13} t - 2 \, q^{12} t^{2} - 22 \, q^{11} t^{3} - 42 \, q^{12} t + 26 \, q^{11} t^{2} + 96 \, q^{10} t^{3} + 20 \, q^{11} t - 94 \, q^{10} t^{2} - 118 \, q^{9} t^{3} + 34 \, q^{8} t^{4} + q^{7} t^{5} + 6 \, q^{10} t + 202 \, q^{9} t^{2} + 34 \, q^{8} t^{3} - 147 \, q^{7} t^{4} - 6 \, q^{6} t^{5} - 6 \, q^{9} t - 147 \, q^{8} t^{2} + 34 \, q^{7} t^{3} + 202 \, q^{6} t^{4} + 6 \, q^{5} t^{5} + q^{8} t + 34 \, q^{7} t^{2} - 118 \, q^{6} t^{3} - 94 \, q^{5} t^{4} + 20 \, q^{4} t^{5} + 96 \, q^{5} t^{3} + 26 \, q^{4} t^{4} - 42 \, q^{3} t^{5} - 22 \, q^{4} t^{3} - 2 \, q^{3} t^{4} + 16 \, q^{2} t^{5} - 4 \, q^{2} t^{4} - 2 \, q t^{5} + t^{6} + t^{5}}{{\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[1, 2], [1, 6], [2, 5], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{22} + q^{21} t + 12 \, q^{20} t - 4 \, q^{19} t^{2} - 34 \, q^{19} t + 4 \, q^{18} t^{2} - 20 \, q^{17} t^{3} + 4 \, q^{18} t - 100 \, q^{17} t^{2} + 92 \, q^{16} t^{3} + 2 \, q^{15} t^{4} + 16 \, q^{17} t + 273 \, q^{16} t^{2} - 73 \, q^{15} t^{3} + 65 \, q^{14} t^{4} + q^{13} t^{5} - 8 \, q^{16} t - 160 \, q^{15} t^{2} + 120 \, q^{14} t^{3} - 324 \, q^{13} t^{4} - 12 \, q^{12} t^{5} + q^{15} t + q^{14} t^{2} - 454 \, q^{13} t^{3} + 394 \, q^{12} t^{4} - 46 \, q^{11} t^{5} - 2 \, q^{10} t^{6} + 16 \, q^{13} t^{2} + 336 \, q^{12} t^{3} - 204 \, q^{11} t^{4} + 336 \, q^{10} t^{5} + 16 \, q^{9} t^{6} - 2 \, q^{12} t^{2} - 46 \, q^{11} t^{3} + 394 \, q^{10} t^{4} - 454 \, q^{9} t^{5} + q^{8} t^{6} + q^{7} t^{7} - 12 \, q^{10} t^{3} - 324 \, q^{9} t^{4} + 120 \, q^{8} t^{5} - 160 \, q^{7} t^{6} - 8 \, q^{6} t^{7} + q^{9} t^{3} + 65 \, q^{8} t^{4} - 73 \, q^{7} t^{5} + 273 \, q^{6} t^{6} + 16 \, q^{5} t^{7} + 2 \, q^{7} t^{4} + 92 \, q^{6} t^{5} - 100 \, q^{5} t^{6} + 4 \, q^{4} t^{7} - 20 \, q^{5} t^{5} + 4 \, q^{4} t^{6} - 34 \, q^{3} t^{7} - 4 \, q^{3} t^{6} + 12 \, q^{2} t^{7} + q t^{7} + t^{8}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{4} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 6], [1, 2], [1, 6], [2, 5], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + q^{15} t + 12 \, q^{14} t - 4 \, q^{13} t^{2} - 36 \, q^{13} t + 6 \, q^{12} t^{2} - 20 \, q^{11} t^{3} + 14 \, q^{12} t - 62 \, q^{11} t^{2} + 86 \, q^{10} t^{3} + 2 \, q^{9} t^{4} + 8 \, q^{11} t + 172 \, q^{10} t^{2} - 90 \, q^{9} t^{3} + 21 \, q^{8} t^{4} + q^{7} t^{5} - 6 \, q^{10} t - 120 \, q^{9} t^{2} + 28 \, q^{8} t^{3} - 120 \, q^{7} t^{4} - 6 \, q^{6} t^{5} + q^{9} t + 21 \, q^{8} t^{2} - 90 \, q^{7} t^{3} + 172 \, q^{6} t^{4} + 8 \, q^{5} t^{5} + 2 \, q^{7} t^{2} + 86 \, q^{6} t^{3} - 62 \, q^{5} t^{4} + 14 \, q^{4} t^{5} - 20 \, q^{5} t^{3} + 6 \, q^{4} t^{4} - 36 \, q^{3} t^{5} - 4 \, q^{3} t^{4} + 12 \, q^{2} t^{5} + q t^{5} + t^{6}}{{\left(q^{2} - t\right)}^{4} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 6], [1, 2], [1, 6], [2, 5], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + 2 \, q^{14} t - q^{13} t^{2} + 7 \, q^{13} t - 6 \, q^{12} t^{2} - 3 \, q^{11} t^{3} - 28 \, q^{12} t - 7 \, q^{11} t^{2} + 8 \, q^{10} t^{3} + 7 \, q^{9} t^{4} + 8 \, q^{11} t + 26 \, q^{10} t^{2} + 35 \, q^{9} t^{3} - 18 \, q^{8} t^{4} + q^{7} t^{5} + 10 \, q^{10} t + 24 \, q^{9} t^{2} - 50 \, q^{8} t^{3} - 10 \, q^{7} t^{4} - 6 \, q^{6} t^{5} - 6 \, q^{9} t - 10 \, q^{8} t^{2} - 50 \, q^{7} t^{3} + 24 \, q^{6} t^{4} + 10 \, q^{5} t^{5} + q^{8} t - 18 \, q^{7} t^{2} + 35 \, q^{6} t^{3} + 26 \, q^{5} t^{4} + 8 \, q^{4} t^{5} + 7 \, q^{6} t^{2} + 8 \, q^{5} t^{3} - 7 \, q^{4} t^{4} - 28 \, q^{3} t^{5} - 3 \, q^{4} t^{3} - 6 \, q^{3} t^{4} + 7 \, q^{2} t^{5} - q^{2} t^{4} + 2 \, q t^{5} + t^{6}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 5], [1, 2], [1, 6], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + 2 \, q^{14} t - q^{13} t^{2} + 5 \, q^{13} t - 6 \, q^{12} t^{2} - 3 \, q^{11} t^{3} - 24 \, q^{12} t - q^{11} t^{2} + 8 \, q^{10} t^{3} + 7 \, q^{9} t^{4} + 6 \, q^{11} t + 16 \, q^{10} t^{2} + 29 \, q^{9} t^{3} - 18 \, q^{8} t^{4} + q^{7} t^{5} + 10 \, q^{10} t + 26 \, q^{9} t^{2} - 44 \, q^{8} t^{3} - 8 \, q^{7} t^{4} - 6 \, q^{6} t^{5} - 6 \, q^{9} t - 8 \, q^{8} t^{2} - 44 \, q^{7} t^{3} + 26 \, q^{6} t^{4} + 10 \, q^{5} t^{5} + q^{8} t - 18 \, q^{7} t^{2} + 29 \, q^{6} t^{3} + 16 \, q^{5} t^{4} + 6 \, q^{4} t^{5} + 7 \, q^{6} t^{2} + 8 \, q^{5} t^{3} - q^{4} t^{4} - 24 \, q^{3} t^{5} - 3 \, q^{4} t^{3} - 6 \, q^{3} t^{4} + 5 \, q^{2} t^{5} - q^{2} t^{4} + 2 \, q t^{5} + t^{6}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 5], [1, 2], [1, 6], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{7} t^{2} + 4 \, q^{7} t - 2 \, q^{6} t^{2} + q^{7} - 4 \, q^{6} t - 2 \, q^{5} t^{2} - 4 \, q^{5} t + 4 \, q^{4} t^{2} + 2 \, q^{4} t - 2 \, q^{3} t^{2} - 4 \, q^{3} t + 4 \, q^{2} t^{2} + 2 \, q^{2} t + 4 \, q t^{2} - t^{3} + 2 \, q t - 4 \, t^{2} - t}{q^{7} {\left(t - 1\right)}^{4}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[1, 2], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{10} t - 3 \, q^{9} t^{2} - 3 \, q^{8} t^{3} + q^{7} t^{4} + q^{10} + 3 \, q^{9} t - q^{8} t^{2} + 15 \, q^{7} t^{3} - 2 \, q^{6} t^{4} - 12 \, q^{8} t + 4 \, q^{7} t^{2} - 14 \, q^{6} t^{3} - 2 \, q^{5} t^{4} + 4 \, q^{7} t + 10 \, q^{6} t^{2} + 2 \, q^{5} t^{3} + 4 \, q^{4} t^{4} - 4 \, q^{6} t - 2 \, q^{5} t^{2} - 10 \, q^{4} t^{3} - 4 \, q^{3} t^{4} + 2 \, q^{5} t + 14 \, q^{4} t^{2} - 4 \, q^{3} t^{3} + 12 \, q^{2} t^{4} + 2 \, q^{4} t - 15 \, q^{3} t^{2} + q^{2} t^{3} - 3 \, q t^{4} - t^{5} - q^{3} t + 3 \, q^{2} t^{2} + 3 \, q t^{3} - t^{4}}{{\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[1, 2], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{10} t - 3 \, q^{9} t^{2} - 3 \, q^{8} t^{3} + q^{7} t^{4} + q^{10} + 3 \, q^{9} t - q^{8} t^{2} + 11 \, q^{7} t^{3} - 2 \, q^{6} t^{4} - 8 \, q^{8} t + 2 \, q^{7} t^{2} + 2 \, q^{6} t^{3} - 6 \, q^{7} t + 6 \, q^{6} t^{2} - 16 \, q^{5} t^{3} - 4 \, q^{4} t^{4} + 4 \, q^{6} t + 16 \, q^{5} t^{2} - 6 \, q^{4} t^{3} + 6 \, q^{3} t^{4} - 2 \, q^{4} t^{2} - 2 \, q^{3} t^{3} + 8 \, q^{2} t^{4} + 2 \, q^{4} t - 11 \, q^{3} t^{2} + q^{2} t^{3} - 3 \, q t^{4} - t^{5} - q^{3} t + 3 \, q^{2} t^{2} + 3 \, q t^{3} - t^{4}}{{\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[1, 2], [1, 6], [2, 6], [3, 4], [3, 5], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{13} t - 2 \, q^{12} t^{2} - q^{11} t^{3} + q^{13} - q^{11} t^{2} + 4 \, q^{10} t^{3} + 2 \, q^{9} t^{4} - 4 \, q^{10} t^{2} + 7 \, q^{9} t^{3} - 2 \, q^{8} t^{4} - q^{7} t^{5} - 14 \, q^{10} t + 15 \, q^{9} t^{2} - 2 \, q^{8} t^{3} - 17 \, q^{7} t^{4} + 2 \, q^{6} t^{5} + 6 \, q^{9} t + 6 \, q^{8} t^{2} - 18 \, q^{7} t^{3} + 18 \, q^{6} t^{4} + 18 \, q^{7} t^{2} - 18 \, q^{6} t^{3} + 6 \, q^{5} t^{4} + 6 \, q^{4} t^{5} + 2 \, q^{7} t - 17 \, q^{6} t^{2} - 2 \, q^{5} t^{3} + 15 \, q^{4} t^{4} - 14 \, q^{3} t^{5} - q^{6} t - 2 \, q^{5} t^{2} + 7 \, q^{4} t^{3} - 4 \, q^{3} t^{4} + 2 \, q^{4} t^{2} + 4 \, q^{3} t^{3} - q^{2} t^{4} + t^{6} - q^{2} t^{3} - 2 \, q t^{4} + t^{5}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[1, 2], [1, 6], [2, 6], [3, 4], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{9} t - 2 \, q^{8} t^{2} - q^{7} t^{3} + q^{9} + q^{7} t^{2} + 2 \, q^{6} t^{3} - 2 \, q^{7} t + 2 \, q^{5} t^{3} - 4 \, q^{6} t + 4 \, q^{5} t^{2} - 2 \, q^{4} t^{3} - 2 \, q^{5} t + 4 \, q^{4} t^{2} - 4 \, q^{3} t^{3} + 2 \, q^{4} t - 2 \, q^{2} t^{3} + 2 \, q^{3} t + q^{2} t^{2} + t^{4} - q^{2} t - 2 \, q t^{2} + t^{3}}{{\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[1, 2], [1, 6], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + 5 \, q^{14} t - q^{13} t^{2} - q^{12} t^{3} - 7 \, q^{13} t - 9 \, q^{12} t^{2} + q^{11} t^{3} + q^{10} t^{4} - 5 \, q^{12} t + q^{11} t^{2} + 15 \, q^{10} t^{3} - q^{9} t^{4} - 6 \, q^{11} t + 25 \, q^{10} t^{2} - 3 \, q^{9} t^{3} - q^{8} t^{4} - q^{7} t^{5} + 8 \, q^{10} t + 18 \, q^{9} t^{2} - 22 \, q^{8} t^{3} - 18 \, q^{7} t^{4} - 18 \, q^{8} t^{2} - 22 \, q^{7} t^{3} + 18 \, q^{6} t^{4} + 8 \, q^{5} t^{5} - q^{8} t - q^{7} t^{2} - 3 \, q^{6} t^{3} + 25 \, q^{5} t^{4} - 6 \, q^{4} t^{5} - q^{6} t^{2} + 15 \, q^{5} t^{3} + q^{4} t^{4} - 5 \, q^{3} t^{5} + q^{5} t^{2} + q^{4} t^{3} - 9 \, q^{3} t^{4} - 7 \, q^{2} t^{5} - q^{3} t^{3} - q^{2} t^{4} + 5 \, q t^{5} + t^{6}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 6], [1, 2], [2, 6], [3, 4], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{10} + 5 \, q^{9} t - q^{8} t^{2} - q^{7} t^{3} - 8 \, q^{8} t - 6 \, q^{7} t^{2} + 2 \, q^{6} t^{3} - 2 \, q^{7} t + 12 \, q^{6} t^{2} + 2 \, q^{5} t^{3} - 2 \, q^{6} t - 4 \, q^{5} t^{2} - 2 \, q^{4} t^{3} + 2 \, q^{5} t + 12 \, q^{4} t^{2} - 2 \, q^{3} t^{3} + 2 \, q^{4} t - 6 \, q^{3} t^{2} - 8 \, q^{2} t^{3} - q^{3} t - q^{2} t^{2} + 5 \, q t^{3} + t^{4}}{{\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 6], [1, 2], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{10} + 5 \, q^{9} t - q^{8} t^{2} - q^{7} t^{3} - 6 \, q^{8} t - 4 \, q^{7} t^{2} + 2 \, q^{6} t^{3} - 6 \, q^{7} t + 2 \, q^{5} t^{3} + 16 \, q^{5} t^{2} + 2 \, q^{5} t - 6 \, q^{3} t^{3} + 2 \, q^{4} t - 4 \, q^{3} t^{2} - 6 \, q^{2} t^{3} - q^{3} t - q^{2} t^{2} + 5 \, q t^{3} + t^{4}}{{\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 6], [1, 2], [1, 6], [2, 6], [3, 4], [3, 5], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{11} + 4 \, q^{10} t + q^{9} t^{2} - 3 \, q^{9} t - 4 \, q^{8} t^{2} - q^{7} t^{3} - 8 \, q^{8} t - 6 \, q^{7} t^{2} + 2 \, q^{6} t^{3} + 12 \, q^{6} t^{2} + 2 \, q^{5} t^{3} + 2 \, q^{6} t + 12 \, q^{5} t^{2} + 2 \, q^{5} t - 6 \, q^{4} t^{2} - 8 \, q^{3} t^{3} - q^{4} t - 4 \, q^{3} t^{2} - 3 \, q^{2} t^{3} + q^{2} t^{2} + 4 \, q t^{3} + t^{4}}{{\left(q^{2} - t\right)} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 6], [1, 2], [1, 6], [2, 6], [3, 4], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{9} + 4 \, q^{8} t + q^{7} t^{2} - 4 \, q^{7} t - 2 \, q^{6} t^{2} - 4 \, q^{6} t - 2 \, q^{5} t^{2} - 2 \, q^{5} t + 2 \, q^{4} t^{2} + 2 \, q^{4} t + 4 \, q^{3} t^{2} + 2 \, q^{3} t + 4 \, q^{2} t^{2} - q^{2} t - 4 \, q t^{2} - t^{3}}{{\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 6], [1, 2], [1, 6], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{22} t + q^{22} - 2 \, q^{21} t - 3 \, q^{20} t^{2} + 9 \, q^{20} t - 3 \, q^{19} t^{2} - 7 \, q^{18} t^{3} - 17 \, q^{19} t + 7 \, q^{18} t^{2} + 33 \, q^{17} t^{3} + q^{16} t^{4} - 16 \, q^{18} t - 31 \, q^{17} t^{2} - 2 \, q^{16} t^{3} + 23 \, q^{15} t^{4} + 26 \, q^{17} t + 91 \, q^{16} t^{2} - 39 \, q^{15} t^{3} - 91 \, q^{14} t^{4} - 3 \, q^{13} t^{5} - 10 \, q^{16} t - 5 \, q^{15} t^{2} + 17 \, q^{14} t^{3} - 33 \, q^{12} t^{5} + q^{15} t - 32 \, q^{14} t^{2} - 54 \, q^{13} t^{3} + 181 \, q^{12} t^{4} + 151 \, q^{11} t^{5} + 5 \, q^{10} t^{6} - q^{13} t^{2} - 119 \, q^{12} t^{3} - 158 \, q^{11} t^{4} - 119 \, q^{10} t^{5} - q^{9} t^{6} + 5 \, q^{12} t^{2} + 151 \, q^{11} t^{3} + 181 \, q^{10} t^{4} - 54 \, q^{9} t^{5} - 32 \, q^{8} t^{6} + q^{7} t^{7} - 33 \, q^{10} t^{3} + 17 \, q^{8} t^{5} - 5 \, q^{7} t^{6} - 10 \, q^{6} t^{7} - 3 \, q^{9} t^{3} - 91 \, q^{8} t^{4} - 39 \, q^{7} t^{5} + 91 \, q^{6} t^{6} + 26 \, q^{5} t^{7} + 23 \, q^{7} t^{4} - 2 \, q^{6} t^{5} - 31 \, q^{5} t^{6} - 16 \, q^{4} t^{7} + q^{6} t^{4} + 33 \, q^{5} t^{5} + 7 \, q^{4} t^{6} - 17 \, q^{3} t^{7} - 7 \, q^{4} t^{5} - 3 \, q^{3} t^{6} + 9 \, q^{2} t^{7} - 3 \, q^{2} t^{6} - 2 \, q t^{7} + t^{8} + t^{7}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[1, 2], [1, 6], [2, 5], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{13} t + q^{13} - 2 \, q^{12} t - 3 \, q^{11} t^{2} + 9 \, q^{11} t - 7 \, q^{9} t^{3} - 22 \, q^{10} t + 5 \, q^{9} t^{2} + 28 \, q^{8} t^{3} + q^{7} t^{4} + 8 \, q^{9} t - 2 \, q^{8} t^{2} - 23 \, q^{7} t^{3} - 2 \, q^{6} t^{4} + 8 \, q^{7} t^{2} - 8 \, q^{6} t^{3} + 2 \, q^{7} t + 23 \, q^{6} t^{2} + 2 \, q^{5} t^{3} - 8 \, q^{4} t^{4} - q^{6} t - 28 \, q^{5} t^{2} - 5 \, q^{4} t^{3} + 22 \, q^{3} t^{4} + 7 \, q^{4} t^{2} - 9 \, q^{2} t^{4} + 3 \, q^{2} t^{3} + 2 \, q t^{4} - t^{5} - t^{4}}{{\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[1, 2], [1, 6], [2, 5], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + 3 \, q^{13} t - 3 \, q^{12} t^{2} + q^{11} t^{3} - 2 \, q^{12} t - 8 \, q^{11} t^{2} + 2 \, q^{9} t^{4} - 10 \, q^{11} t + 9 \, q^{10} t^{2} + 15 \, q^{9} t^{3} - 5 \, q^{8} t^{4} - q^{7} t^{5} - 4 \, q^{10} t + 24 \, q^{9} t^{2} - 2 \, q^{8} t^{3} - 10 \, q^{7} t^{4} + 8 \, q^{9} t + 6 \, q^{8} t^{2} - 48 \, q^{7} t^{3} + 6 \, q^{6} t^{4} + 8 \, q^{5} t^{5} - 10 \, q^{7} t^{2} - 2 \, q^{6} t^{3} + 24 \, q^{5} t^{4} - 4 \, q^{4} t^{5} - q^{7} t - 5 \, q^{6} t^{2} + 15 \, q^{5} t^{3} + 9 \, q^{4} t^{4} - 10 \, q^{3} t^{5} + 2 \, q^{5} t^{2} - 8 \, q^{3} t^{4} - 2 \, q^{2} t^{5} + q^{3} t^{3} - 3 \, q^{2} t^{4} + 3 \, q t^{5} + t^{6}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 6], [1, 2], [2, 5], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{19} + q^{18} t + 6 \, q^{17} t - 4 \, q^{16} t^{2} - 19 \, q^{16} t - 7 \, q^{15} t^{2} - 8 \, q^{14} t^{3} - 2 \, q^{15} t - 10 \, q^{14} t^{2} + 56 \, q^{13} t^{3} + 6 \, q^{12} t^{4} + 8 \, q^{14} t + 86 \, q^{13} t^{2} - 52 \, q^{12} t^{3} - 11 \, q^{11} t^{4} - q^{10} t^{5} - 34 \, q^{12} t^{2} + 2 \, q^{11} t^{3} - 60 \, q^{10} t^{4} - 4 \, q^{9} t^{5} - q^{12} t - 15 \, q^{11} t^{2} - 98 \, q^{10} t^{3} + 98 \, q^{9} t^{4} + 15 \, q^{8} t^{5} + q^{7} t^{6} + 4 \, q^{10} t^{2} + 60 \, q^{9} t^{3} - 2 \, q^{8} t^{4} + 34 \, q^{7} t^{5} + q^{9} t^{2} + 11 \, q^{8} t^{3} + 52 \, q^{7} t^{4} - 86 \, q^{6} t^{5} - 8 \, q^{5} t^{6} - 6 \, q^{7} t^{3} - 56 \, q^{6} t^{4} + 10 \, q^{5} t^{5} + 2 \, q^{4} t^{6} + 8 \, q^{5} t^{4} + 7 \, q^{4} t^{5} + 19 \, q^{3} t^{6} + 4 \, q^{3} t^{5} - 6 \, q^{2} t^{6} - q t^{6} - t^{7}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{4} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 6], [1, 2], [1, 6], [2, 5], [3, 4], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + q^{13} t + 5 \, q^{12} t - 3 \, q^{11} t^{2} - 16 \, q^{11} t - 3 \, q^{10} t^{2} - 5 \, q^{9} t^{3} + 2 \, q^{10} t + 6 \, q^{9} t^{2} + 23 \, q^{8} t^{3} + q^{7} t^{4} + 2 \, q^{9} t + 10 \, q^{8} t^{2} - 18 \, q^{7} t^{3} - 2 \, q^{6} t^{4} + 2 \, q^{8} t + 18 \, q^{7} t^{2} - 10 \, q^{6} t^{3} - 2 \, q^{5} t^{4} - q^{7} t - 23 \, q^{6} t^{2} - 6 \, q^{5} t^{3} - 2 \, q^{4} t^{4} + 5 \, q^{5} t^{2} + 3 \, q^{4} t^{3} + 16 \, q^{3} t^{4} + 3 \, q^{3} t^{3} - 5 \, q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 6], [1, 2], [1, 6], [2, 5], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + q^{19} t + 5 \, q^{18} t - 3 \, q^{17} t^{2} - 14 \, q^{17} t - 5 \, q^{16} t^{2} - 5 \, q^{15} t^{3} - 8 \, q^{16} t - 14 \, q^{15} t^{2} + 27 \, q^{14} t^{3} + q^{13} t^{4} + 10 \, q^{15} t + 61 \, q^{14} t^{2} + 7 \, q^{13} t^{3} + 10 \, q^{12} t^{4} + 10 \, q^{13} t^{2} - 43 \, q^{12} t^{3} - 61 \, q^{11} t^{4} - 2 \, q^{10} t^{5} - q^{13} t - 33 \, q^{12} t^{2} - 30 \, q^{11} t^{3} + 41 \, q^{10} t^{4} - 3 \, q^{9} t^{5} + 3 \, q^{11} t^{2} - 41 \, q^{10} t^{3} + 30 \, q^{9} t^{4} + 33 \, q^{8} t^{5} + q^{7} t^{6} + 2 \, q^{10} t^{2} + 61 \, q^{9} t^{3} + 43 \, q^{8} t^{4} - 10 \, q^{7} t^{5} - 10 \, q^{8} t^{3} - 7 \, q^{7} t^{4} - 61 \, q^{6} t^{5} - 10 \, q^{5} t^{6} - q^{7} t^{3} - 27 \, q^{6} t^{4} + 14 \, q^{5} t^{5} + 8 \, q^{4} t^{6} + 5 \, q^{5} t^{4} + 5 \, q^{4} t^{5} + 14 \, q^{3} t^{6} + 3 \, q^{3} t^{5} - 5 \, q^{2} t^{6} - q t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 6], [1, 2], [1, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{13} + 2 \, q^{12} t - q^{11} t^{2} + 2 \, q^{11} t - 4 \, q^{10} t^{2} - 2 \, q^{9} t^{3} - 14 \, q^{10} t + q^{9} t^{2} + 8 \, q^{8} t^{3} + q^{7} t^{4} + 2 \, q^{9} t + 6 \, q^{8} t^{2} + 6 \, q^{7} t^{3} - 2 \, q^{6} t^{4} + 2 \, q^{8} t + 20 \, q^{7} t^{2} - 20 \, q^{6} t^{3} - 2 \, q^{5} t^{4} + 2 \, q^{7} t - 6 \, q^{6} t^{2} - 6 \, q^{5} t^{3} - 2 \, q^{4} t^{4} - q^{6} t - 8 \, q^{5} t^{2} - q^{4} t^{3} + 14 \, q^{3} t^{4} + 2 \, q^{4} t^{2} + 4 \, q^{3} t^{3} - 2 \, q^{2} t^{4} + q^{2} t^{3} - 2 \, q t^{4} - t^{5}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 6], [1, 2], [1, 5], [2, 5], [3, 4], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{13} + 2 \, q^{12} t - q^{11} t^{2} + 6 \, q^{11} t - 4 \, q^{10} t^{2} - 4 \, q^{9} t^{3} - 22 \, q^{10} t - 3 \, q^{9} t^{2} + 12 \, q^{8} t^{3} + q^{7} t^{4} + 4 \, q^{9} t + 10 \, q^{8} t^{2} + 8 \, q^{7} t^{3} + 6 \, q^{8} t + 24 \, q^{7} t^{2} - 24 \, q^{6} t^{3} - 6 \, q^{5} t^{4} - 8 \, q^{6} t^{2} - 10 \, q^{5} t^{3} - 4 \, q^{4} t^{4} - q^{6} t - 12 \, q^{5} t^{2} + 3 \, q^{4} t^{3} + 22 \, q^{3} t^{4} + 4 \, q^{4} t^{2} + 4 \, q^{3} t^{3} - 6 \, q^{2} t^{4} + q^{2} t^{3} - 2 \, q t^{4} - t^{5}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 5], [1, 2], [1, 6], [2, 6], [3, 4], [3, 6], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{13} + 2 \, q^{12} t - q^{11} t^{2} + 2 \, q^{11} t - 4 \, q^{10} t^{2} - 2 \, q^{9} t^{3} - 12 \, q^{10} t - q^{9} t^{2} + 8 \, q^{8} t^{3} + q^{7} t^{4} - 4 \, q^{9} t + 12 \, q^{8} t^{2} + 4 \, q^{7} t^{3} + 8 \, q^{8} t + 14 \, q^{7} t^{2} - 14 \, q^{6} t^{3} - 8 \, q^{5} t^{4} - 4 \, q^{6} t^{2} - 12 \, q^{5} t^{3} + 4 \, q^{4} t^{4} - q^{6} t - 8 \, q^{5} t^{2} + q^{4} t^{3} + 12 \, q^{3} t^{4} + 2 \, q^{4} t^{2} + 4 \, q^{3} t^{3} - 2 \, q^{2} t^{4} + q^{2} t^{3} - 2 \, q t^{4} - t^{5}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 5], [1, 2], [1, 6], [2, 6], [3, 4], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + 3 \, q^{13} t - 3 \, q^{12} t^{2} + q^{11} t^{3} - 4 \, q^{12} t - 8 \, q^{11} t^{2} + 2 \, q^{9} t^{4} - 8 \, q^{11} t + 19 \, q^{10} t^{2} + 17 \, q^{9} t^{3} - 7 \, q^{8} t^{4} - q^{7} t^{5} + 4 \, q^{9} t^{2} - 22 \, q^{8} t^{3} - 6 \, q^{7} t^{4} + 2 \, q^{6} t^{5} + 2 \, q^{9} t + 14 \, q^{8} t^{2} - 12 \, q^{7} t^{3} + 14 \, q^{6} t^{4} + 2 \, q^{5} t^{5} + 2 \, q^{8} t - 6 \, q^{7} t^{2} - 22 \, q^{6} t^{3} + 4 \, q^{5} t^{4} - q^{7} t - 7 \, q^{6} t^{2} + 17 \, q^{5} t^{3} + 19 \, q^{4} t^{4} - 8 \, q^{3} t^{5} + 2 \, q^{5} t^{2} - 8 \, q^{3} t^{4} - 4 \, q^{2} t^{5} + q^{3} t^{3} - 3 \, q^{2} t^{4} + 3 \, q t^{5} + t^{6}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 5], [1, 2], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{11} + 2 \, q^{10} t - q^{9} t^{2} + q^{9} t - 2 \, q^{8} t^{2} - q^{7} t^{3} - 8 \, q^{8} t + 2 \, q^{6} t^{3} - 4 \, q^{7} t + 6 \, q^{6} t^{2} + 4 \, q^{5} t^{3} + 4 \, q^{6} t + 6 \, q^{5} t^{2} - 4 \, q^{4} t^{3} + 2 \, q^{5} t - 8 \, q^{3} t^{3} - q^{4} t - 2 \, q^{3} t^{2} + q^{2} t^{3} - q^{2} t^{2} + 2 \, q t^{3} + t^{4}}{{\left(q^{2} - t\right)} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 5], [1, 2], [1, 6], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{11} + 2 \, q^{10} t - q^{9} t^{2} - q^{9} t - 2 \, q^{8} t^{2} - q^{7} t^{3} - 4 \, q^{8} t + 2 \, q^{7} t^{2} + 2 \, q^{6} t^{3} - 6 \, q^{7} t + 4 \, q^{6} t^{2} + 4 \, q^{5} t^{3} + 4 \, q^{6} t + 4 \, q^{5} t^{2} - 6 \, q^{4} t^{3} + 2 \, q^{5} t + 2 \, q^{4} t^{2} - 4 \, q^{3} t^{3} - q^{4} t - 2 \, q^{3} t^{2} - q^{2} t^{3} - q^{2} t^{2} + 2 \, q t^{3} + t^{4}}{{\left(q^{2} - t\right)} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 5], [1, 2], [1, 6], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{21} t + q^{21} - 2 \, q^{20} t - 4 \, q^{19} t^{2} + 12 \, q^{19} t - 2 \, q^{18} t^{2} - 12 \, q^{17} t^{3} - 30 \, q^{18} t + 10 \, q^{17} t^{2} + 64 \, q^{16} t^{3} + 4 \, q^{15} t^{4} + 2 \, q^{17} t - 52 \, q^{16} t^{2} - 51 \, q^{15} t^{3} + 32 \, q^{14} t^{4} - q^{13} t^{5} + 16 \, q^{16} t + 163 \, q^{15} t^{2} - 40 \, q^{14} t^{3} - 205 \, q^{13} t^{4} - 10 \, q^{12} t^{5} - 8 \, q^{15} t - 93 \, q^{14} t^{2} + 126 \, q^{13} t^{3} + 258 \, q^{12} t^{4} - 10 \, q^{11} t^{5} + 2 \, q^{10} t^{6} + q^{14} t + 2 \, q^{13} t^{2} - 328 \, q^{12} t^{3} - 54 \, q^{11} t^{4} + 206 \, q^{10} t^{5} + 2 \, q^{9} t^{6} + 2 \, q^{12} t^{2} + 206 \, q^{11} t^{3} - 54 \, q^{10} t^{4} - 328 \, q^{9} t^{5} + 2 \, q^{8} t^{6} + q^{7} t^{7} + 2 \, q^{11} t^{2} - 10 \, q^{10} t^{3} + 258 \, q^{9} t^{4} + 126 \, q^{8} t^{5} - 93 \, q^{7} t^{6} - 8 \, q^{6} t^{7} - 10 \, q^{9} t^{3} - 205 \, q^{8} t^{4} - 40 \, q^{7} t^{5} + 163 \, q^{6} t^{6} + 16 \, q^{5} t^{7} - q^{8} t^{3} + 32 \, q^{7} t^{4} - 51 \, q^{6} t^{5} - 52 \, q^{5} t^{6} + 2 \, q^{4} t^{7} + 4 \, q^{6} t^{4} + 64 \, q^{5} t^{5} + 10 \, q^{4} t^{6} - 30 \, q^{3} t^{7} - 12 \, q^{4} t^{5} - 2 \, q^{3} t^{6} + 12 \, q^{2} t^{7} - 4 \, q^{2} t^{6} - 2 \, q t^{7} + t^{8} + t^{7}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[1, 2], [1, 6], [2, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{22} + 3 \, q^{21} t - 3 \, q^{20} t^{2} + q^{19} t^{3} - q^{20} t - 11 \, q^{19} t^{2} - q^{18} t^{3} + 3 \, q^{17} t^{4} - 16 \, q^{19} t + q^{18} t^{2} + 41 \, q^{17} t^{3} - 11 \, q^{16} t^{4} - 3 \, q^{15} t^{5} - 6 \, q^{18} t + 44 \, q^{17} t^{2} - q^{16} t^{3} - 11 \, q^{15} t^{4} - 7 \, q^{14} t^{5} + q^{13} t^{6} + 18 \, q^{17} t + 45 \, q^{16} t^{2} - 79 \, q^{15} t^{3} - 95 \, q^{14} t^{4} + 45 \, q^{13} t^{5} + 8 \, q^{12} t^{6} - 8 \, q^{16} t - 36 \, q^{15} t^{2} - 91 \, q^{14} t^{3} + 123 \, q^{13} t^{4} + 43 \, q^{12} t^{5} - 11 \, q^{11} t^{6} - 2 \, q^{10} t^{7} + q^{15} t - 7 \, q^{14} t^{2} - 15 \, q^{13} t^{3} + 174 \, q^{12} t^{4} - 21 \, q^{11} t^{5} - 59 \, q^{10} t^{6} - q^{9} t^{7} + q^{13} t^{2} + 59 \, q^{12} t^{3} + 21 \, q^{11} t^{4} - 174 \, q^{10} t^{5} + 15 \, q^{9} t^{6} + 7 \, q^{8} t^{7} - q^{7} t^{8} + 2 \, q^{12} t^{2} + 11 \, q^{11} t^{3} - 43 \, q^{10} t^{4} - 123 \, q^{9} t^{5} + 91 \, q^{8} t^{6} + 36 \, q^{7} t^{7} + 8 \, q^{6} t^{8} - 8 \, q^{10} t^{3} - 45 \, q^{9} t^{4} + 95 \, q^{8} t^{5} + 79 \, q^{7} t^{6} - 45 \, q^{6} t^{7} - 18 \, q^{5} t^{8} - q^{9} t^{3} + 7 \, q^{8} t^{4} + 11 \, q^{7} t^{5} + q^{6} t^{6} - 44 \, q^{5} t^{7} + 6 \, q^{4} t^{8} + 3 \, q^{7} t^{4} + 11 \, q^{6} t^{5} - 41 \, q^{5} t^{6} - q^{4} t^{7} + 16 \, q^{3} t^{8} - 3 \, q^{5} t^{5} + q^{4} t^{6} + 11 \, q^{3} t^{7} + q^{2} t^{8} - q^{3} t^{6} + 3 \, q^{2} t^{7} - 3 \, q t^{8} - t^{9}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 6], [1, 2], [2, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{22} + q^{21} t + 8 \, q^{20} t - 4 \, q^{19} t^{2} - 24 \, q^{19} t - 6 \, q^{18} t^{2} - 10 \, q^{17} t^{3} - 4 \, q^{18} t - 34 \, q^{17} t^{2} + 62 \, q^{16} t^{3} + 4 \, q^{15} t^{4} + 18 \, q^{17} t + 149 \, q^{16} t^{2} - 49 \, q^{15} t^{3} + 23 \, q^{14} t^{4} - q^{13} t^{5} - 8 \, q^{16} t - 76 \, q^{15} t^{2} + 58 \, q^{14} t^{3} - 176 \, q^{13} t^{4} - 10 \, q^{12} t^{5} + q^{15} t - 5 \, q^{14} t^{2} - 288 \, q^{13} t^{3} + 188 \, q^{12} t^{4} + 2 \, q^{10} t^{6} + 2 \, q^{13} t^{2} + 182 \, q^{12} t^{3} - 8 \, q^{11} t^{4} + 182 \, q^{10} t^{5} + 2 \, q^{9} t^{6} + 2 \, q^{12} t^{2} + 188 \, q^{10} t^{4} - 288 \, q^{9} t^{5} - 5 \, q^{8} t^{6} + q^{7} t^{7} - 10 \, q^{10} t^{3} - 176 \, q^{9} t^{4} + 58 \, q^{8} t^{5} - 76 \, q^{7} t^{6} - 8 \, q^{6} t^{7} - q^{9} t^{3} + 23 \, q^{8} t^{4} - 49 \, q^{7} t^{5} + 149 \, q^{6} t^{6} + 18 \, q^{5} t^{7} + 4 \, q^{7} t^{4} + 62 \, q^{6} t^{5} - 34 \, q^{5} t^{6} - 4 \, q^{4} t^{7} - 10 \, q^{5} t^{5} - 6 \, q^{4} t^{6} - 24 \, q^{3} t^{7} - 4 \, q^{3} t^{6} + 8 \, q^{2} t^{7} + q t^{7} + t^{8}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{4} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 6], [1, 2], [1, 6], [2, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + q^{15} t + 10 \, q^{14} t - 4 \, q^{13} t^{2} - 28 \, q^{13} t - 10 \, q^{12} t^{2} - 10 \, q^{11} t^{3} + 6 \, q^{12} t - 2 \, q^{11} t^{2} + 58 \, q^{10} t^{3} + 6 \, q^{9} t^{4} + 6 \, q^{11} t + 76 \, q^{10} t^{2} - 56 \, q^{9} t^{3} - 11 \, q^{8} t^{4} - q^{7} t^{5} - 40 \, q^{9} t^{2} - 4 \, q^{8} t^{3} - 40 \, q^{7} t^{4} - q^{9} t - 11 \, q^{8} t^{2} - 56 \, q^{7} t^{3} + 76 \, q^{6} t^{4} + 6 \, q^{5} t^{5} + 6 \, q^{7} t^{2} + 58 \, q^{6} t^{3} - 2 \, q^{5} t^{4} + 6 \, q^{4} t^{5} - 10 \, q^{5} t^{3} - 10 \, q^{4} t^{4} - 28 \, q^{3} t^{5} - 4 \, q^{3} t^{4} + 10 \, q^{2} t^{5} + q t^{5} + t^{6}}{{\left(q^{2} - t\right)}^{4} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 6], [1, 2], [1, 6], [2, 4], [3, 4], [3, 5], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{23} + q^{22} t + 5 \, q^{21} t - 3 \, q^{20} t^{2} - 5 \, q^{20} t - 6 \, q^{19} t^{2} - 3 \, q^{18} t^{3} - 38 \, q^{19} t - 41 \, q^{18} t^{2} + 16 \, q^{17} t^{3} + q^{16} t^{4} + 42 \, q^{18} t + 127 \, q^{17} t^{2} + 50 \, q^{16} t^{3} + 19 \, q^{15} t^{4} - 14 \, q^{17} t - 24 \, q^{16} t^{2} - 41 \, q^{15} t^{3} - 76 \, q^{14} t^{4} - 7 \, q^{13} t^{5} + q^{16} t - 21 \, q^{15} t^{2} - 127 \, q^{14} t^{3} - 46 \, q^{13} t^{4} - 17 \, q^{12} t^{5} - 13 \, q^{14} t^{2} - 49 \, q^{13} t^{3} + 137 \, q^{12} t^{4} + 122 \, q^{11} t^{5} + 9 \, q^{10} t^{6} + 9 \, q^{13} t^{2} + 122 \, q^{12} t^{3} + 137 \, q^{11} t^{4} - 49 \, q^{10} t^{5} - 13 \, q^{9} t^{6} - 17 \, q^{11} t^{3} - 46 \, q^{10} t^{4} - 127 \, q^{9} t^{5} - 21 \, q^{8} t^{6} + q^{7} t^{7} - 7 \, q^{10} t^{3} - 76 \, q^{9} t^{4} - 41 \, q^{8} t^{5} - 24 \, q^{7} t^{6} - 14 \, q^{6} t^{7} + 19 \, q^{8} t^{4} + 50 \, q^{7} t^{5} + 127 \, q^{6} t^{6} + 42 \, q^{5} t^{7} + q^{7} t^{4} + 16 \, q^{6} t^{5} - 41 \, q^{5} t^{6} - 38 \, q^{4} t^{7} - 3 \, q^{5} t^{5} - 6 \, q^{4} t^{6} - 5 \, q^{3} t^{7} - 3 \, q^{3} t^{6} + 5 \, q^{2} t^{7} + q t^{7} + t^{8}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 6], [1, 2], [1, 5], [2, 4], [3, 4], [3, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{21} + q^{20} t + 2 \, q^{19} t - 2 \, q^{18} t^{2} + 3 \, q^{18} t - 6 \, q^{17} t^{2} + q^{16} t^{3} - 40 \, q^{17} t - 12 \, q^{16} t^{2} - 8 \, q^{15} t^{3} + 38 \, q^{16} t + 47 \, q^{15} t^{2} + 58 \, q^{14} t^{3} + 7 \, q^{13} t^{4} - 12 \, q^{15} t + 8 \, q^{14} t^{2} - 58 \, q^{13} t^{3} - 10 \, q^{12} t^{4} + q^{14} t + 7 \, q^{13} t^{2} - 3 \, q^{12} t^{3} - 64 \, q^{11} t^{4} - 11 \, q^{10} t^{5} - 32 \, q^{12} t^{2} - 92 \, q^{11} t^{3} + 92 \, q^{10} t^{4} + 32 \, q^{9} t^{5} + 11 \, q^{11} t^{2} + 64 \, q^{10} t^{3} + 3 \, q^{9} t^{4} - 7 \, q^{8} t^{5} - q^{7} t^{6} + 10 \, q^{9} t^{3} + 58 \, q^{8} t^{4} - 8 \, q^{7} t^{5} + 12 \, q^{6} t^{6} - 7 \, q^{8} t^{3} - 58 \, q^{7} t^{4} - 47 \, q^{6} t^{5} - 38 \, q^{5} t^{6} + 8 \, q^{6} t^{4} + 12 \, q^{5} t^{5} + 40 \, q^{4} t^{6} - q^{5} t^{4} + 6 \, q^{4} t^{5} - 3 \, q^{3} t^{6} + 2 \, q^{3} t^{5} - 2 \, q^{2} t^{6} - q t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 6], [1, 2], [1, 5], [2, 4], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{16} t + q^{16} - 2 \, q^{15} t - 3 \, q^{13} t^{2} + 9 \, q^{13} t - 26 \, q^{12} t + 10 \, q^{11} t^{2} - 7 \, q^{10} t^{3} + 14 \, q^{11} t - 5 \, q^{10} t^{2} + 34 \, q^{9} t^{3} - 9 \, q^{9} t^{2} - 44 \, q^{8} t^{3} + q^{7} t^{4} - q^{9} t + 44 \, q^{8} t^{2} + 9 \, q^{7} t^{3} - 34 \, q^{7} t^{2} + 5 \, q^{6} t^{3} - 14 \, q^{5} t^{4} + 7 \, q^{6} t^{2} - 10 \, q^{5} t^{3} + 26 \, q^{4} t^{4} - 9 \, q^{3} t^{4} + 3 \, q^{3} t^{3} + 2 \, q t^{4} - t^{5} - t^{4}}{{\left(q^{3} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[1, 2], [1, 5], [1, 6], [2, 4], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + q^{17} t + 2 \, q^{16} t - 2 \, q^{15} t^{2} - 4 \, q^{15} t - 5 \, q^{14} t^{2} + q^{13} t^{3} - 16 \, q^{14} t + 2 \, q^{13} t^{2} - 6 \, q^{12} t^{3} + 12 \, q^{13} t + 15 \, q^{12} t^{2} + 39 \, q^{11} t^{3} + 4 \, q^{10} t^{4} + 20 \, q^{11} t^{2} - 52 \, q^{10} t^{3} - 12 \, q^{9} t^{4} - q^{11} t - 7 \, q^{10} t^{2} + 16 \, q^{9} t^{3} - 7 \, q^{8} t^{4} - q^{7} t^{5} - 12 \, q^{9} t^{2} - 52 \, q^{8} t^{3} + 20 \, q^{7} t^{4} + 4 \, q^{8} t^{2} + 39 \, q^{7} t^{3} + 15 \, q^{6} t^{4} + 12 \, q^{5} t^{5} - 6 \, q^{6} t^{3} + 2 \, q^{5} t^{4} - 16 \, q^{4} t^{5} + q^{5} t^{3} - 5 \, q^{4} t^{4} - 4 \, q^{3} t^{5} - 2 \, q^{3} t^{4} + 2 \, q^{2} t^{5} + q t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 6], [1, 2], [1, 5], [2, 4], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + q^{16} t - 2 \, q^{15} t + 9 \, q^{14} t - 3 \, q^{13} t^{2} - 26 \, q^{13} t + 14 \, q^{12} t + 7 \, q^{11} t^{2} - 7 \, q^{10} t^{3} - 10 \, q^{10} t^{2} + 34 \, q^{9} t^{3} - q^{10} t + 43 \, q^{9} t^{2} - 43 \, q^{8} t^{3} + q^{7} t^{4} - 34 \, q^{8} t^{2} + 10 \, q^{7} t^{3} + 7 \, q^{7} t^{2} - 7 \, q^{6} t^{3} - 14 \, q^{5} t^{4} + 26 \, q^{4} t^{4} + 3 \, q^{4} t^{3} - 9 \, q^{3} t^{4} + 2 \, q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 6], [1, 2], [1, 5], [1, 6], [2, 4], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + q^{16} t - 2 \, q^{15} t + 7 \, q^{14} t - 3 \, q^{13} t^{2} - 20 \, q^{13} t + 8 \, q^{12} t + 7 \, q^{11} t^{2} - 5 \, q^{10} t^{3} + 2 \, q^{11} t - 8 \, q^{10} t^{2} + 28 \, q^{9} t^{3} - q^{10} t + 37 \, q^{9} t^{2} - 37 \, q^{8} t^{3} + q^{7} t^{4} - 28 \, q^{8} t^{2} + 8 \, q^{7} t^{3} - 2 \, q^{6} t^{4} + 5 \, q^{7} t^{2} - 7 \, q^{6} t^{3} - 8 \, q^{5} t^{4} + 20 \, q^{4} t^{4} + 3 \, q^{4} t^{3} - 7 \, q^{3} t^{4} + 2 \, q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 6], [1, 2], [1, 5], [1, 6], [2, 4], [2, 5], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + 2 \, q^{18} t + q^{17} t - q^{16} t^{2} - 18 \, q^{16} t - 8 \, q^{15} t^{2} + 8 \, q^{15} t + 5 \, q^{14} t^{2} - q^{13} t^{3} + 2 \, q^{14} t + 24 \, q^{13} t^{2} + 16 \, q^{12} t^{3} - q^{13} t + 14 \, q^{12} t^{2} + q^{11} t^{3} + 5 \, q^{10} t^{4} - 24 \, q^{11} t^{2} - 52 \, q^{10} t^{3} - 24 \, q^{9} t^{4} + 5 \, q^{10} t^{2} + q^{9} t^{3} + 14 \, q^{8} t^{4} - q^{7} t^{5} + 16 \, q^{8} t^{3} + 24 \, q^{7} t^{4} + 2 \, q^{6} t^{5} - q^{7} t^{3} + 5 \, q^{6} t^{4} + 8 \, q^{5} t^{5} - 8 \, q^{5} t^{4} - 18 \, q^{4} t^{5} - q^{4} t^{4} + q^{3} t^{5} + 2 \, q^{2} t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 5], [0, 6], [1, 2], [1, 6], [2, 4], [2, 5], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + q^{16} t + 5 \, q^{15} t - 18 \, q^{14} t - 3 \, q^{13} t^{2} + 4 \, q^{13} t - 5 \, q^{12} t^{2} + 4 \, q^{12} t + 4 \, q^{11} t^{2} - 5 \, q^{10} t^{3} - q^{11} t + 42 \, q^{10} t^{2} + 33 \, q^{9} t^{3} - 33 \, q^{9} t^{2} - 42 \, q^{8} t^{3} + q^{7} t^{4} + 5 \, q^{8} t^{2} - 4 \, q^{7} t^{3} - 4 \, q^{6} t^{4} + 5 \, q^{6} t^{3} - 4 \, q^{5} t^{4} + 3 \, q^{5} t^{3} + 18 \, q^{4} t^{4} - 5 \, q^{3} t^{4} - q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 5], [0, 6], [1, 2], [1, 5], [1, 6], [2, 4], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + q^{16} t + 5 \, q^{15} t - 20 \, q^{14} t - 3 \, q^{13} t^{2} + 8 \, q^{13} t - 3 \, q^{12} t^{2} + 2 \, q^{12} t + 4 \, q^{11} t^{2} - 5 \, q^{10} t^{3} - q^{11} t + 36 \, q^{10} t^{2} + 29 \, q^{9} t^{3} - 29 \, q^{9} t^{2} - 36 \, q^{8} t^{3} + q^{7} t^{4} + 5 \, q^{8} t^{2} - 4 \, q^{7} t^{3} - 2 \, q^{6} t^{4} + 3 \, q^{6} t^{3} - 8 \, q^{5} t^{4} + 3 \, q^{5} t^{3} + 20 \, q^{4} t^{4} - 5 \, q^{3} t^{4} - q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 5], [0, 6], [1, 2], [1, 5], [1, 6], [2, 4], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{22} + q^{21} t + 6 \, q^{20} t - 4 \, q^{19} t^{2} - 12 \, q^{19} t - 10 \, q^{18} t^{2} - 2 \, q^{17} t^{3} - 26 \, q^{18} t - 32 \, q^{17} t^{2} + 28 \, q^{16} t^{3} + 2 \, q^{15} t^{4} + 34 \, q^{17} t + 157 \, q^{16} t^{2} + 43 \, q^{15} t^{3} + 19 \, q^{14} t^{4} - q^{13} t^{5} - 12 \, q^{16} t - 88 \, q^{15} t^{2} - 88 \, q^{14} t^{3} - 148 \, q^{13} t^{4} - 18 \, q^{12} t^{5} + q^{15} t + 11 \, q^{14} t^{2} - 144 \, q^{13} t^{3} + 104 \, q^{12} t^{4} + 48 \, q^{11} t^{5} + 6 \, q^{10} t^{6} - 12 \, q^{13} t^{2} + 78 \, q^{12} t^{3} + 116 \, q^{11} t^{4} + 78 \, q^{10} t^{5} - 12 \, q^{9} t^{6} + 6 \, q^{12} t^{2} + 48 \, q^{11} t^{3} + 104 \, q^{10} t^{4} - 144 \, q^{9} t^{5} + 11 \, q^{8} t^{6} + q^{7} t^{7} - 18 \, q^{10} t^{3} - 148 \, q^{9} t^{4} - 88 \, q^{8} t^{5} - 88 \, q^{7} t^{6} - 12 \, q^{6} t^{7} - q^{9} t^{3} + 19 \, q^{8} t^{4} + 43 \, q^{7} t^{5} + 157 \, q^{6} t^{6} + 34 \, q^{5} t^{7} + 2 \, q^{7} t^{4} + 28 \, q^{6} t^{5} - 32 \, q^{5} t^{6} - 26 \, q^{4} t^{7} - 2 \, q^{5} t^{5} - 10 \, q^{4} t^{6} - 12 \, q^{3} t^{7} - 4 \, q^{3} t^{6} + 6 \, q^{2} t^{7} + q t^{7} + t^{8}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{4} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 6], [1, 2], [1, 4], [2, 5], [3, 4], [3, 6], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + q^{15} t + 5 \, q^{14} t - q^{13} t^{2} - 6 \, q^{13} t + 2 \, q^{12} t^{2} - 20 \, q^{12} t - 22 \, q^{11} t^{2} - 6 \, q^{10} t^{3} + 18 \, q^{11} t + 29 \, q^{10} t^{2} + 19 \, q^{9} t^{3} - 2 \, q^{10} t + 14 \, q^{9} t^{2} - q^{8} t^{3} + q^{7} t^{4} - q^{9} t + q^{8} t^{2} - 14 \, q^{7} t^{3} + 2 \, q^{6} t^{4} - 19 \, q^{7} t^{2} - 29 \, q^{6} t^{3} - 18 \, q^{5} t^{4} + 6 \, q^{6} t^{2} + 22 \, q^{5} t^{3} + 20 \, q^{4} t^{4} - 2 \, q^{4} t^{3} + 6 \, q^{3} t^{4} + q^{3} t^{3} - 5 \, q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 5], [1, 2], [1, 4], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + 2 \, q^{18} t + q^{17} t - q^{16} t^{2} - 18 \, q^{16} t - 10 \, q^{15} t^{2} + 8 \, q^{15} t + 13 \, q^{14} t^{2} + q^{13} t^{3} + 2 \, q^{14} t + 12 \, q^{13} t^{2} + 8 \, q^{12} t^{3} - q^{13} t + 22 \, q^{12} t^{2} + 15 \, q^{11} t^{3} + 5 \, q^{10} t^{4} - 26 \, q^{11} t^{2} - 68 \, q^{10} t^{3} - 26 \, q^{9} t^{4} + 5 \, q^{10} t^{2} + 15 \, q^{9} t^{3} + 22 \, q^{8} t^{4} - q^{7} t^{5} + 8 \, q^{8} t^{3} + 12 \, q^{7} t^{4} + 2 \, q^{6} t^{5} + q^{7} t^{3} + 13 \, q^{6} t^{4} + 8 \, q^{5} t^{5} - 10 \, q^{5} t^{4} - 18 \, q^{4} t^{5} - q^{4} t^{4} + q^{3} t^{5} + 2 \, q^{2} t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 5], [0, 6], [1, 2], [1, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + 3 \, q^{13} t - 3 \, q^{12} t^{2} + q^{11} t^{3} - 2 \, q^{12} t - 8 \, q^{11} t^{2} + 2 \, q^{9} t^{4} - 12 \, q^{11} t + 11 \, q^{10} t^{2} + 17 \, q^{9} t^{3} - 7 \, q^{8} t^{4} - q^{7} t^{5} + 2 \, q^{10} t + 20 \, q^{9} t^{2} - 10 \, q^{8} t^{3} - 6 \, q^{7} t^{4} + 2 \, q^{6} t^{5} + 2 \, q^{9} t + 6 \, q^{8} t^{2} - 36 \, q^{7} t^{3} + 6 \, q^{6} t^{4} + 2 \, q^{5} t^{5} + 2 \, q^{8} t - 6 \, q^{7} t^{2} - 10 \, q^{6} t^{3} + 20 \, q^{5} t^{4} + 2 \, q^{4} t^{5} - q^{7} t - 7 \, q^{6} t^{2} + 17 \, q^{5} t^{3} + 11 \, q^{4} t^{4} - 12 \, q^{3} t^{5} + 2 \, q^{5} t^{2} - 8 \, q^{3} t^{4} - 2 \, q^{2} t^{5} + q^{3} t^{3} - 3 \, q^{2} t^{4} + 3 \, q t^{5} + t^{6}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 6], [1, 2], [1, 4], [2, 4], [3, 5], [3, 6], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + q^{16} t - 2 \, q^{15} t + 9 \, q^{14} t - 3 \, q^{13} t^{2} - 24 \, q^{13} t - 2 \, q^{12} t^{2} + 10 \, q^{12} t + 9 \, q^{11} t^{2} - 5 \, q^{10} t^{3} + 2 \, q^{11} t - 8 \, q^{10} t^{2} + 30 \, q^{9} t^{3} - q^{10} t + 39 \, q^{9} t^{2} - 39 \, q^{8} t^{3} + q^{7} t^{4} - 30 \, q^{8} t^{2} + 8 \, q^{7} t^{3} - 2 \, q^{6} t^{4} + 5 \, q^{7} t^{2} - 9 \, q^{6} t^{3} - 10 \, q^{5} t^{4} + 2 \, q^{5} t^{3} + 24 \, q^{4} t^{4} + 3 \, q^{4} t^{3} - 9 \, q^{3} t^{4} + 2 \, q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 6], [1, 2], [1, 4], [1, 6], [2, 4], [2, 5], [3, 4], [3, 5], [3, 6], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{21} + q^{20} t - q^{19} t - q^{18} t^{2} + q^{18} t - q^{17} t^{2} - 6 \, q^{17} t - q^{16} t^{2} - q^{15} t^{3} - 10 \, q^{16} t + 6 \, q^{14} t^{3} + 12 \, q^{15} t + 12 \, q^{14} t^{2} + 4 \, q^{13} t^{3} - 3 \, q^{14} t + 16 \, q^{13} t^{2} - 9 \, q^{12} t^{3} + 2 \, q^{11} t^{4} - 3 \, q^{12} t^{2} - 10 \, q^{11} t^{3} - 9 \, q^{10} t^{4} - 9 \, q^{11} t^{2} - 10 \, q^{10} t^{3} - 3 \, q^{9} t^{4} + 2 \, q^{10} t^{2} - 9 \, q^{9} t^{3} + 16 \, q^{8} t^{4} - 3 \, q^{7} t^{5} + 4 \, q^{8} t^{3} + 12 \, q^{7} t^{4} + 12 \, q^{6} t^{5} + 6 \, q^{7} t^{3} - 10 \, q^{5} t^{5} - q^{6} t^{3} - q^{5} t^{4} - 6 \, q^{4} t^{5} - q^{4} t^{4} + q^{3} t^{5} - q^{3} t^{4} - q^{2} t^{5} + q t^{5} + t^{6}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)} {\left(q^{2} - t\right)} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 6], [1, 2], [1, 4], [1, 5], [2, 4], [2, 5], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + 2 \, q^{16} t - q^{15} t - q^{14} t^{2} - 7 \, q^{14} t - 2 \, q^{13} t^{2} - 4 \, q^{13} t - 2 \, q^{12} t^{2} - q^{11} t^{3} + 6 \, q^{12} t + 9 \, q^{11} t^{2} + 5 \, q^{10} t^{3} - q^{11} t + 16 \, q^{10} t^{2} + 6 \, q^{9} t^{3} - 6 \, q^{9} t^{2} - 16 \, q^{8} t^{3} + q^{7} t^{4} - 5 \, q^{8} t^{2} - 9 \, q^{7} t^{3} - 6 \, q^{6} t^{4} + q^{7} t^{2} + 2 \, q^{6} t^{3} + 4 \, q^{5} t^{4} + 2 \, q^{5} t^{3} + 7 \, q^{4} t^{4} + q^{4} t^{3} + q^{3} t^{4} - 2 \, q^{2} t^{4} - t^{5}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 5], [0, 6], [1, 2], [1, 4], [1, 6], [2, 4], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + q^{16} t + 3 \, q^{15} t - 14 \, q^{14} t - 3 \, q^{13} t^{2} + 2 \, q^{13} t - 3 \, q^{12} t^{2} + 4 \, q^{12} t + 6 \, q^{11} t^{2} - 3 \, q^{10} t^{3} - q^{11} t + 30 \, q^{10} t^{2} + 23 \, q^{9} t^{3} - 23 \, q^{9} t^{2} - 30 \, q^{8} t^{3} + q^{7} t^{4} + 3 \, q^{8} t^{2} - 6 \, q^{7} t^{3} - 4 \, q^{6} t^{4} + 3 \, q^{6} t^{3} - 2 \, q^{5} t^{4} + 3 \, q^{5} t^{3} + 14 \, q^{4} t^{4} - 3 \, q^{3} t^{4} - q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 5], [0, 6], [1, 2], [1, 4], [1, 6], [2, 4], [2, 5], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + q^{16} t + 5 \, q^{15} t - 18 \, q^{14} t - 3 \, q^{13} t^{2} + 4 \, q^{13} t - 7 \, q^{12} t^{2} + 4 \, q^{12} t + 12 \, q^{11} t^{2} - 3 \, q^{10} t^{3} - q^{11} t + 30 \, q^{10} t^{2} + 25 \, q^{9} t^{3} - 25 \, q^{9} t^{2} - 30 \, q^{8} t^{3} + q^{7} t^{4} + 3 \, q^{8} t^{2} - 12 \, q^{7} t^{3} - 4 \, q^{6} t^{4} + 7 \, q^{6} t^{3} - 4 \, q^{5} t^{4} + 3 \, q^{5} t^{3} + 18 \, q^{4} t^{4} - 5 \, q^{3} t^{4} - q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 5], [0, 6], [1, 2], [1, 4], [1, 5], [2, 4], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + 3 \, q^{13} t - 3 \, q^{12} t^{2} + q^{11} t^{3} - 2 \, q^{12} t - 8 \, q^{11} t^{2} + 2 \, q^{9} t^{4} - 10 \, q^{11} t + 9 \, q^{10} t^{2} + 15 \, q^{9} t^{3} - 5 \, q^{8} t^{4} - q^{7} t^{5} - 4 \, q^{10} t + 24 \, q^{9} t^{2} - 2 \, q^{8} t^{3} - 10 \, q^{7} t^{4} + 8 \, q^{9} t + 6 \, q^{8} t^{2} - 48 \, q^{7} t^{3} + 6 \, q^{6} t^{4} + 8 \, q^{5} t^{5} - 10 \, q^{7} t^{2} - 2 \, q^{6} t^{3} + 24 \, q^{5} t^{4} - 4 \, q^{4} t^{5} - q^{7} t - 5 \, q^{6} t^{2} + 15 \, q^{5} t^{3} + 9 \, q^{4} t^{4} - 10 \, q^{3} t^{5} + 2 \, q^{5} t^{2} - 8 \, q^{3} t^{4} - 2 \, q^{2} t^{5} + q^{3} t^{3} - 3 \, q^{2} t^{4} + 3 \, q t^{5} + t^{6}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 4], [1, 2], [1, 6], [2, 6], [3, 5], [3, 6], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + 2 \, q^{14} t - q^{13} t^{2} + 3 \, q^{13} t - 6 \, q^{12} t^{2} + 3 \, q^{11} t^{3} - 14 \, q^{12} t - 11 \, q^{11} t^{2} - 10 \, q^{10} t^{3} + 5 \, q^{9} t^{4} - 8 \, q^{11} t + 40 \, q^{10} t^{2} + 53 \, q^{9} t^{3} - 14 \, q^{8} t^{4} - q^{7} t^{5} + 14 \, q^{10} t + 8 \, q^{9} t^{2} - 56 \, q^{8} t^{3} - 6 \, q^{7} t^{4} - 2 \, q^{6} t^{5} - 2 \, q^{9} t - 6 \, q^{8} t^{2} - 56 \, q^{7} t^{3} + 8 \, q^{6} t^{4} + 14 \, q^{5} t^{5} - q^{8} t - 14 \, q^{7} t^{2} + 53 \, q^{6} t^{3} + 40 \, q^{5} t^{4} - 8 \, q^{4} t^{5} + 5 \, q^{6} t^{2} - 10 \, q^{5} t^{3} - 11 \, q^{4} t^{4} - 14 \, q^{3} t^{5} + 3 \, q^{4} t^{3} - 6 \, q^{3} t^{4} + 3 \, q^{2} t^{5} - q^{2} t^{4} + 2 \, q t^{5} + t^{6}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 4], [1, 2], [1, 6], [2, 5], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + q^{13} t + 5 \, q^{12} t - 3 \, q^{11} t^{2} - 10 \, q^{11} t - 3 \, q^{10} t^{2} - 3 \, q^{9} t^{3} - 14 \, q^{10} t - 6 \, q^{9} t^{2} + 11 \, q^{8} t^{3} + q^{7} t^{4} + 16 \, q^{9} t + 42 \, q^{8} t^{2} + 12 \, q^{7} t^{3} + 2 \, q^{6} t^{4} - 2 \, q^{8} t - 12 \, q^{7} t^{2} - 42 \, q^{6} t^{3} - 16 \, q^{5} t^{4} - q^{7} t - 11 \, q^{6} t^{2} + 6 \, q^{5} t^{3} + 14 \, q^{4} t^{4} + 3 \, q^{5} t^{2} + 3 \, q^{4} t^{3} + 10 \, q^{3} t^{4} + 3 \, q^{3} t^{3} - 5 \, q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 4], [1, 2], [1, 6], [2, 5], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{19} + 3 \, q^{17} t - 4 \, q^{16} t - 3 \, q^{15} t^{2} - 12 \, q^{15} t - 8 \, q^{14} t^{2} + q^{13} t^{3} + 6 \, q^{14} t + 19 \, q^{13} t^{2} + 2 \, q^{13} t + 18 \, q^{12} t^{2} + 21 \, q^{11} t^{3} + 2 \, q^{10} t^{4} - q^{12} t - 4 \, q^{11} t^{2} - 32 \, q^{10} t^{3} - 9 \, q^{9} t^{4} - 9 \, q^{10} t^{2} - 32 \, q^{9} t^{3} - 4 \, q^{8} t^{4} - q^{7} t^{5} + 2 \, q^{9} t^{2} + 21 \, q^{8} t^{3} + 18 \, q^{7} t^{4} + 2 \, q^{6} t^{5} + 19 \, q^{6} t^{4} + 6 \, q^{5} t^{5} + q^{6} t^{3} - 8 \, q^{5} t^{4} - 12 \, q^{4} t^{5} - 3 \, q^{4} t^{4} - 4 \, q^{3} t^{5} + 3 \, q^{2} t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 4], [0, 6], [1, 2], [1, 6], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{11} + q^{10} t + 2 \, q^{9} t - 3 \, q^{8} t + q^{7} t^{2} - 6 \, q^{7} t - 4 \, q^{6} t^{2} + 4 \, q^{5} t + 6 \, q^{4} t^{2} - q^{4} t + 3 \, q^{3} t^{2} - 2 \, q^{2} t^{2} - q t^{2} - t^{3}}{{\left(q^{3} - t\right)} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 4], [1, 2], [1, 5], [1, 6], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + 3 \, q^{14} t - 5 \, q^{13} t - 3 \, q^{12} t^{2} - 6 \, q^{12} t - 5 \, q^{11} t^{2} + q^{10} t^{3} + 16 \, q^{10} t^{2} + q^{9} t^{3} + 4 \, q^{10} t + 8 \, q^{9} t^{2} + 4 \, q^{8} t^{3} + q^{7} t^{4} - q^{9} t - 4 \, q^{8} t^{2} - 8 \, q^{7} t^{3} - 4 \, q^{6} t^{4} - q^{7} t^{2} - 16 \, q^{6} t^{3} - q^{6} t^{2} + 5 \, q^{5} t^{3} + 6 \, q^{4} t^{4} + 3 \, q^{4} t^{3} + 5 \, q^{3} t^{4} - 3 \, q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 4], [0, 6], [1, 2], [1, 5], [1, 6], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{13} + q^{12} t - q^{11} t - q^{10} t^{2} + q^{10} t - q^{9} t^{2} - 8 \, q^{9} t + q^{8} t^{2} - q^{7} t^{3} + 4 \, q^{7} t^{2} + 4 \, q^{6} t^{3} + 4 \, q^{7} t + 4 \, q^{6} t^{2} - q^{6} t + q^{5} t^{2} - 8 \, q^{4} t^{3} - q^{4} t^{2} + q^{3} t^{3} - q^{3} t^{2} - q^{2} t^{3} + q t^{3} + t^{4}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 4], [1, 2], [1, 5], [1, 6], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + 2 \, q^{12} t - q^{11} t - q^{10} t^{2} - 8 \, q^{10} t - 2 \, q^{9} t^{2} + 2 \, q^{8} t^{2} - q^{7} t^{3} + 4 \, q^{8} t + 8 \, q^{7} t^{2} + 4 \, q^{6} t^{3} - q^{7} t + 2 \, q^{6} t^{2} - 2 \, q^{5} t^{2} - 8 \, q^{4} t^{3} - q^{4} t^{2} - q^{3} t^{3} + 2 \, q^{2} t^{3} + t^{4}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 4], [0, 6], [1, 2], [1, 5], [1, 6], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + 3 \, q^{14} t - 5 \, q^{13} t - 3 \, q^{12} t^{2} - 6 \, q^{12} t - 3 \, q^{11} t^{2} + q^{10} t^{3} + 8 \, q^{10} t^{2} - q^{9} t^{3} + 4 \, q^{10} t + 20 \, q^{9} t^{2} + 12 \, q^{8} t^{3} + q^{7} t^{4} - q^{9} t - 12 \, q^{8} t^{2} - 20 \, q^{7} t^{3} - 4 \, q^{6} t^{4} + q^{7} t^{2} - 8 \, q^{6} t^{3} - q^{6} t^{2} + 3 \, q^{5} t^{3} + 6 \, q^{4} t^{4} + 3 \, q^{4} t^{3} + 5 \, q^{3} t^{4} - 3 \, q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 4], [0, 5], [1, 2], [1, 6], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{22} + 2 \, q^{20} t + q^{19} t - q^{18} t^{2} - 10 \, q^{18} t - 4 \, q^{17} t^{2} - 8 \, q^{17} t - 4 \, q^{16} t^{2} - q^{15} t^{3} + 12 \, q^{16} t + 14 \, q^{15} t^{2} + 8 \, q^{14} t^{3} - 3 \, q^{15} t + 23 \, q^{14} t^{2} + 8 \, q^{13} t^{3} - 4 \, q^{13} t^{2} - 20 \, q^{12} t^{3} + 2 \, q^{11} t^{4} - 11 \, q^{12} t^{2} - 10 \, q^{11} t^{3} - 11 \, q^{10} t^{4} + 2 \, q^{11} t^{2} - 20 \, q^{10} t^{3} - 4 \, q^{9} t^{4} + 8 \, q^{9} t^{3} + 23 \, q^{8} t^{4} - 3 \, q^{7} t^{5} + 8 \, q^{8} t^{3} + 14 \, q^{7} t^{4} + 12 \, q^{6} t^{5} - q^{7} t^{3} - 4 \, q^{6} t^{4} - 8 \, q^{5} t^{5} - 4 \, q^{5} t^{4} - 10 \, q^{4} t^{5} - q^{4} t^{4} + q^{3} t^{5} + 2 \, q^{2} t^{5} + t^{6}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 4], [0, 5], [1, 2], [1, 5], [1, 6], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + 2 \, q^{12} t + q^{11} t - q^{10} t^{2} - 12 \, q^{10} t - 4 \, q^{9} t^{2} + 2 \, q^{9} t + 6 \, q^{8} t^{2} - q^{7} t^{3} + 4 \, q^{8} t + 4 \, q^{7} t^{2} + 4 \, q^{6} t^{3} - q^{7} t + 6 \, q^{6} t^{2} + 2 \, q^{5} t^{3} - 4 \, q^{5} t^{2} - 12 \, q^{4} t^{3} - q^{4} t^{2} + q^{3} t^{3} + 2 \, q^{2} t^{3} + t^{4}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 4], [0, 5], [1, 2], [1, 5], [1, 6], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{26} + q^{24} t + 3 \, q^{23} t - 12 \, q^{22} t - 3 \, q^{21} t^{2} - 8 \, q^{21} t - 9 \, q^{20} t^{2} + 12 \, q^{20} t + 2 \, q^{19} t^{2} - 3 \, q^{18} t^{3} - 3 \, q^{19} t + 67 \, q^{18} t^{2} + 37 \, q^{17} t^{3} - 33 \, q^{17} t^{2} - 35 \, q^{16} t^{3} + q^{15} t^{4} - 5 \, q^{16} t^{2} - 11 \, q^{15} t^{3} - 2 \, q^{14} t^{4} + 2 \, q^{15} t^{2} - 71 \, q^{14} t^{3} - 47 \, q^{13} t^{4} + 47 \, q^{13} t^{3} + 71 \, q^{12} t^{4} - 2 \, q^{11} t^{5} + 2 \, q^{12} t^{3} + 11 \, q^{11} t^{4} + 5 \, q^{10} t^{5} - q^{11} t^{3} + 35 \, q^{10} t^{4} + 33 \, q^{9} t^{5} - 37 \, q^{9} t^{4} - 67 \, q^{8} t^{5} + 3 \, q^{7} t^{6} + 3 \, q^{8} t^{4} - 2 \, q^{7} t^{5} - 12 \, q^{6} t^{6} + 9 \, q^{6} t^{5} + 8 \, q^{5} t^{6} + 3 \, q^{5} t^{5} + 12 \, q^{4} t^{6} - 3 \, q^{3} t^{6} - q^{2} t^{6} - t^{7}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 4], [0, 5], [1, 2], [1, 5], [1, 6], [2, 4], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{22} + q^{20} t + 7 \, q^{19} t - 21 \, q^{18} t - 5 \, q^{17} t^{2} - 6 \, q^{16} t^{2} + 10 \, q^{16} t + 3 \, q^{15} t^{2} - 3 \, q^{14} t^{3} - 3 \, q^{15} t + 60 \, q^{14} t^{2} + 36 \, q^{13} t^{3} - 39 \, q^{13} t^{2} - 43 \, q^{12} t^{3} + q^{11} t^{4} + q^{12} t^{2} + q^{10} t^{4} + q^{11} t^{2} - 43 \, q^{10} t^{3} - 39 \, q^{9} t^{4} + 36 \, q^{9} t^{3} + 60 \, q^{8} t^{4} - 3 \, q^{7} t^{5} - 3 \, q^{8} t^{3} + 3 \, q^{7} t^{4} + 10 \, q^{6} t^{5} - 6 \, q^{6} t^{4} - 5 \, q^{5} t^{4} - 21 \, q^{4} t^{5} + 7 \, q^{3} t^{5} + q^{2} t^{5} + t^{6}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 4], [0, 5], [1, 2], [1, 4], [1, 6], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{13} t + q^{13} - 2 \, q^{12} t - 2 \, q^{10} t^{2} + 6 \, q^{10} t - 12 \, q^{9} t + 4 \, q^{8} t^{2} - 3 \, q^{7} t^{3} - 4 \, q^{8} t + q^{7} t^{2} + 10 \, q^{6} t^{3} + 10 \, q^{7} t + q^{6} t^{2} - 4 \, q^{5} t^{3} - 3 \, q^{6} t + 4 \, q^{5} t^{2} - 12 \, q^{4} t^{3} + 6 \, q^{3} t^{3} - 2 \, q^{3} t^{2} - 2 \, q t^{3} + t^{4} + t^{3}}{{\left(q^{3} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[1, 2], [1, 5], [1, 6], [2, 3], [2, 4], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + q^{19} t - q^{18} t - q^{17} t^{2} + 2 \, q^{17} t - 2 \, q^{16} t^{2} - 11 \, q^{16} t - 3 \, q^{15} t^{2} - 4 \, q^{15} t + 10 \, q^{14} t^{2} + 8 \, q^{13} t^{3} + 10 \, q^{14} t + 8 \, q^{13} t^{2} - 5 \, q^{12} t^{3} + q^{11} t^{4} - 3 \, q^{13} t + 17 \, q^{12} t^{2} + 4 \, q^{11} t^{3} - 2 \, q^{10} t^{4} - 13 \, q^{11} t^{2} - 34 \, q^{10} t^{3} - 13 \, q^{9} t^{4} - 2 \, q^{10} t^{2} + 4 \, q^{9} t^{3} + 17 \, q^{8} t^{4} - 3 \, q^{7} t^{5} + q^{9} t^{2} - 5 \, q^{8} t^{3} + 8 \, q^{7} t^{4} + 10 \, q^{6} t^{5} + 8 \, q^{7} t^{3} + 10 \, q^{6} t^{4} - 4 \, q^{5} t^{5} - 3 \, q^{5} t^{4} - 11 \, q^{4} t^{5} - 2 \, q^{4} t^{4} + 2 \, q^{3} t^{5} - q^{3} t^{4} - q^{2} t^{5} + q t^{5} + t^{6}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 6], [1, 2], [1, 5], [2, 3], [2, 4], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + 2 \, q^{12} t + q^{11} t - q^{10} t^{2} - 12 \, q^{10} t - 4 \, q^{9} t^{2} + 2 \, q^{9} t + 6 \, q^{8} t^{2} - q^{7} t^{3} + 4 \, q^{8} t + 4 \, q^{7} t^{2} + 4 \, q^{6} t^{3} - q^{7} t + 6 \, q^{6} t^{2} + 2 \, q^{5} t^{3} - 4 \, q^{5} t^{2} - 12 \, q^{4} t^{3} - q^{4} t^{2} + q^{3} t^{3} + 2 \, q^{2} t^{3} + t^{4}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 5], [0, 6], [1, 2], [1, 6], [2, 3], [2, 4], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + q^{16} t + 5 \, q^{15} t - 18 \, q^{14} t - 3 \, q^{13} t^{2} + 4 \, q^{13} t - 9 \, q^{12} t^{2} + 4 \, q^{12} t + 20 \, q^{11} t^{2} - q^{10} t^{3} - q^{11} t + 18 \, q^{10} t^{2} + 17 \, q^{9} t^{3} - 17 \, q^{9} t^{2} - 18 \, q^{8} t^{3} + q^{7} t^{4} + q^{8} t^{2} - 20 \, q^{7} t^{3} - 4 \, q^{6} t^{4} + 9 \, q^{6} t^{3} - 4 \, q^{5} t^{4} + 3 \, q^{5} t^{3} + 18 \, q^{4} t^{4} - 5 \, q^{3} t^{4} - q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 5], [0, 6], [1, 2], [1, 5], [1, 6], [2, 3], [2, 4], [3, 4], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + q^{13} t + 2 \, q^{12} t - 8 \, q^{11} t - 2 \, q^{10} t^{2} - 4 \, q^{10} t - 3 \, q^{9} t^{2} + 6 \, q^{9} t + 8 \, q^{8} t^{2} - q^{7} t^{3} - q^{8} t + 8 \, q^{7} t^{2} + 6 \, q^{6} t^{3} - 3 \, q^{6} t^{2} - 4 \, q^{5} t^{3} - 2 \, q^{5} t^{2} - 8 \, q^{4} t^{3} + 2 \, q^{3} t^{3} + q^{2} t^{3} + t^{4}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 5], [0, 6], [1, 2], [1, 5], [1, 6], [2, 3], [2, 4], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + q^{16} t - 2 \, q^{15} t + 11 \, q^{14} t - 3 \, q^{13} t^{2} - 30 \, q^{13} t - 2 \, q^{12} t^{2} + 16 \, q^{12} t + 11 \, q^{11} t^{2} - 9 \, q^{10} t^{3} - 18 \, q^{10} t^{2} + 44 \, q^{9} t^{3} - q^{10} t + 57 \, q^{9} t^{2} - 57 \, q^{8} t^{3} + q^{7} t^{4} - 44 \, q^{8} t^{2} + 18 \, q^{7} t^{3} + 9 \, q^{7} t^{2} - 11 \, q^{6} t^{3} - 16 \, q^{5} t^{4} + 2 \, q^{5} t^{3} + 30 \, q^{4} t^{4} + 3 \, q^{4} t^{3} - 11 \, q^{3} t^{4} + 2 \, q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 6], [1, 2], [1, 4], [1, 6], [2, 3], [2, 5], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{16} t + q^{16} - 2 \, q^{15} t - 3 \, q^{13} t^{2} + 13 \, q^{13} t - 2 \, q^{12} t^{2} - 36 \, q^{12} t + 14 \, q^{11} t^{2} - 11 \, q^{10} t^{3} + 22 \, q^{11} t - 7 \, q^{10} t^{2} + 50 \, q^{9} t^{3} - 2 \, q^{10} t - 17 \, q^{9} t^{2} - 64 \, q^{8} t^{3} + q^{7} t^{4} - q^{9} t + 64 \, q^{8} t^{2} + 17 \, q^{7} t^{3} + 2 \, q^{6} t^{4} - 50 \, q^{7} t^{2} + 7 \, q^{6} t^{3} - 22 \, q^{5} t^{4} + 11 \, q^{6} t^{2} - 14 \, q^{5} t^{3} + 36 \, q^{4} t^{4} + 2 \, q^{4} t^{3} - 13 \, q^{3} t^{4} + 3 \, q^{3} t^{3} + 2 \, q t^{4} - t^{5} - t^{4}}{{\left(q^{3} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[1, 2], [1, 4], [1, 5], [2, 3], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{21} + 2 \, q^{20} t - q^{19} t^{2} + 7 \, q^{19} t - 6 \, q^{18} t^{2} + 3 \, q^{17} t^{3} - 22 \, q^{18} t - 27 \, q^{17} t^{2} - 12 \, q^{16} t^{3} + 7 \, q^{15} t^{4} - 14 \, q^{17} t + 54 \, q^{16} t^{2} + 77 \, q^{15} t^{3} - 18 \, q^{14} t^{4} - q^{13} t^{5} + 30 \, q^{16} t + 33 \, q^{15} t^{2} - 6 \, q^{14} t^{3} + 9 \, q^{13} t^{4} - 26 \, q^{12} t^{5} - 12 \, q^{15} t + 8 \, q^{14} t^{2} - 211 \, q^{13} t^{3} - 144 \, q^{12} t^{4} + 85 \, q^{11} t^{5} + 4 \, q^{10} t^{6} + q^{14} t - 44 \, q^{13} t^{2} + 85 \, q^{12} t^{3} + 181 \, q^{11} t^{4} - 50 \, q^{10} t^{5} + 7 \, q^{9} t^{6} + 7 \, q^{12} t^{2} - 50 \, q^{11} t^{3} + 181 \, q^{10} t^{4} + 85 \, q^{9} t^{5} - 44 \, q^{8} t^{6} + q^{7} t^{7} + 4 \, q^{11} t^{2} + 85 \, q^{10} t^{3} - 144 \, q^{9} t^{4} - 211 \, q^{8} t^{5} + 8 \, q^{7} t^{6} - 12 \, q^{6} t^{7} - 26 \, q^{9} t^{3} + 9 \, q^{8} t^{4} - 6 \, q^{7} t^{5} + 33 \, q^{6} t^{6} + 30 \, q^{5} t^{7} - q^{8} t^{3} - 18 \, q^{7} t^{4} + 77 \, q^{6} t^{5} + 54 \, q^{5} t^{6} - 14 \, q^{4} t^{7} + 7 \, q^{6} t^{4} - 12 \, q^{5} t^{5} - 27 \, q^{4} t^{6} - 22 \, q^{3} t^{7} + 3 \, q^{4} t^{5} - 6 \, q^{3} t^{6} + 7 \, q^{2} t^{7} - q^{2} t^{6} + 2 \, q t^{7} + t^{8}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[0, 5], [1, 2], [1, 4], [2, 3], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + 24 \, q^{13} t - 56 \, q^{12} t + 34 \, q^{11} t^{2} + 28 \, q^{11} t - 196 \, q^{10} t^{2} - 4 \, q^{9} t^{3} + 336 \, q^{9} t^{2} - 28 \, q^{8} t^{3} + q^{7} t^{4} - 196 \, q^{8} t^{2} + 196 \, q^{7} t^{3} - q^{8} t + 28 \, q^{7} t^{2} - 336 \, q^{6} t^{3} + 4 \, q^{6} t^{2} + 196 \, q^{5} t^{3} - 28 \, q^{4} t^{4} - 34 \, q^{4} t^{3} + 56 \, q^{3} t^{4} - 24 \, q^{2} t^{4} - t^{5}}{{\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[0, 5], [0, 6], [1, 2], [1, 4], [2, 3], [3, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + q^{16} t + 7 \, q^{14} t - 3 \, q^{13} t^{2} - 28 \, q^{13} t - 4 \, q^{12} t^{2} + 16 \, q^{12} t + 9 \, q^{11} t^{2} - 7 \, q^{10} t^{3} - 4 \, q^{10} t^{2} + 36 \, q^{9} t^{3} - q^{10} t + 41 \, q^{9} t^{2} - 41 \, q^{8} t^{3} + q^{7} t^{4} - 36 \, q^{8} t^{2} + 4 \, q^{7} t^{3} + 7 \, q^{7} t^{2} - 9 \, q^{6} t^{3} - 16 \, q^{5} t^{4} + 4 \, q^{5} t^{3} + 28 \, q^{4} t^{4} + 3 \, q^{4} t^{3} - 7 \, q^{3} t^{4} - q t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 5], [1, 2], [1, 4], [1, 6], [2, 3], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + q^{16} t - 2 \, q^{15} t + 11 \, q^{14} t - 3 \, q^{13} t^{2} - 30 \, q^{13} t - 4 \, q^{12} t^{2} + 16 \, q^{12} t + 17 \, q^{11} t^{2} - 7 \, q^{10} t^{3} - 22 \, q^{10} t^{2} + 38 \, q^{9} t^{3} - q^{10} t + 53 \, q^{9} t^{2} - 53 \, q^{8} t^{3} + q^{7} t^{4} - 38 \, q^{8} t^{2} + 22 \, q^{7} t^{3} + 7 \, q^{7} t^{2} - 17 \, q^{6} t^{3} - 16 \, q^{5} t^{4} + 4 \, q^{5} t^{3} + 30 \, q^{4} t^{4} + 3 \, q^{4} t^{3} - 11 \, q^{3} t^{4} + 2 \, q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 5], [1, 2], [1, 4], [1, 6], [2, 3], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{22} + 5 \, q^{20} t - q^{19} t - 3 \, q^{18} t^{2} - 28 \, q^{18} t - 25 \, q^{17} t^{2} + q^{16} t^{3} + 16 \, q^{17} t + 25 \, q^{16} t^{2} + q^{15} t^{3} + 4 \, q^{16} t + 72 \, q^{15} t^{2} + 53 \, q^{14} t^{3} + q^{13} t^{4} - 3 \, q^{15} t - 38 \, q^{14} t^{2} - 27 \, q^{13} t^{3} + 15 \, q^{12} t^{4} - 19 \, q^{13} t^{2} - 186 \, q^{12} t^{3} - 139 \, q^{11} t^{4} - 9 \, q^{10} t^{5} + 9 \, q^{12} t^{2} + 139 \, q^{11} t^{3} + 186 \, q^{10} t^{4} + 19 \, q^{9} t^{5} - 15 \, q^{10} t^{3} + 27 \, q^{9} t^{4} + 38 \, q^{8} t^{5} + 3 \, q^{7} t^{6} - q^{9} t^{3} - 53 \, q^{8} t^{4} - 72 \, q^{7} t^{5} - 4 \, q^{6} t^{6} - q^{7} t^{4} - 25 \, q^{6} t^{5} - 16 \, q^{5} t^{6} - q^{6} t^{4} + 25 \, q^{5} t^{5} + 28 \, q^{4} t^{6} + 3 \, q^{4} t^{5} + q^{3} t^{6} - 5 \, q^{2} t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 5], [0, 6], [1, 2], [1, 4], [2, 3], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{22} + 5 \, q^{20} t - 5 \, q^{19} t - 3 \, q^{18} t^{2} - 20 \, q^{18} t - 25 \, q^{17} t^{2} + q^{16} t^{3} + 14 \, q^{17} t + 47 \, q^{16} t^{2} + 5 \, q^{15} t^{3} + 18 \, q^{15} t^{2} + 35 \, q^{14} t^{3} + q^{13} t^{4} - q^{15} t + 2 \, q^{14} t^{2} - 31 \, q^{13} t^{3} + q^{12} t^{4} - 25 \, q^{13} t^{2} - 126 \, q^{12} t^{3} - 83 \, q^{11} t^{4} - 7 \, q^{10} t^{5} + 7 \, q^{12} t^{2} + 83 \, q^{11} t^{3} + 126 \, q^{10} t^{4} + 25 \, q^{9} t^{5} - q^{10} t^{3} + 31 \, q^{9} t^{4} - 2 \, q^{8} t^{5} + q^{7} t^{6} - q^{9} t^{3} - 35 \, q^{8} t^{4} - 18 \, q^{7} t^{5} - 5 \, q^{7} t^{4} - 47 \, q^{6} t^{5} - 14 \, q^{5} t^{6} - q^{6} t^{4} + 25 \, q^{5} t^{5} + 20 \, q^{4} t^{6} + 3 \, q^{4} t^{5} + 5 \, q^{3} t^{6} - 5 \, q^{2} t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 5], [0, 6], [1, 2], [1, 4], [2, 3], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + q^{16} t + 11 \, q^{15} t - 34 \, q^{14} t - 5 \, q^{13} t^{2} + 18 \, q^{13} t - q^{12} t^{2} - 6 \, q^{11} t^{2} - 9 \, q^{10} t^{3} - q^{11} t + 62 \, q^{10} t^{2} + 49 \, q^{9} t^{3} - 49 \, q^{9} t^{2} - 62 \, q^{8} t^{3} + q^{7} t^{4} + 9 \, q^{8} t^{2} + 6 \, q^{7} t^{3} + q^{6} t^{3} - 18 \, q^{5} t^{4} + 5 \, q^{5} t^{3} + 34 \, q^{4} t^{4} - 11 \, q^{3} t^{4} - q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 5], [0, 6], [1, 2], [1, 4], [1, 6], [2, 3], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + q^{16} t + 9 \, q^{15} t - 30 \, q^{14} t - 3 \, q^{13} t^{2} + 16 \, q^{13} t - 7 \, q^{12} t^{2} + 8 \, q^{11} t^{2} - 7 \, q^{10} t^{3} - q^{11} t + 42 \, q^{10} t^{2} + 37 \, q^{9} t^{3} - 37 \, q^{9} t^{2} - 42 \, q^{8} t^{3} + q^{7} t^{4} + 7 \, q^{8} t^{2} - 8 \, q^{7} t^{3} + 7 \, q^{6} t^{3} - 16 \, q^{5} t^{4} + 3 \, q^{5} t^{3} + 30 \, q^{4} t^{4} - 9 \, q^{3} t^{4} - q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 5], [0, 6], [1, 2], [1, 4], [1, 6], [2, 3], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{26} + q^{24} t + 7 \, q^{23} t - 22 \, q^{22} t - 3 \, q^{21} t^{2} - 11 \, q^{20} t^{2} + 10 \, q^{20} t - 10 \, q^{19} t^{2} - 7 \, q^{18} t^{3} - 3 \, q^{19} t + 105 \, q^{18} t^{2} + 53 \, q^{17} t^{3} - 65 \, q^{17} t^{2} - 49 \, q^{16} t^{3} + q^{15} t^{4} + 3 \, q^{16} t^{2} + 5 \, q^{15} t^{3} + 8 \, q^{14} t^{4} + 2 \, q^{15} t^{2} - 115 \, q^{14} t^{3} - 87 \, q^{13} t^{4} + 87 \, q^{13} t^{3} + 115 \, q^{12} t^{4} - 2 \, q^{11} t^{5} - 8 \, q^{12} t^{3} - 5 \, q^{11} t^{4} - 3 \, q^{10} t^{5} - q^{11} t^{3} + 49 \, q^{10} t^{4} + 65 \, q^{9} t^{5} - 53 \, q^{9} t^{4} - 105 \, q^{8} t^{5} + 3 \, q^{7} t^{6} + 7 \, q^{8} t^{4} + 10 \, q^{7} t^{5} - 10 \, q^{6} t^{6} + 11 \, q^{6} t^{5} + 3 \, q^{5} t^{5} + 22 \, q^{4} t^{6} - 7 \, q^{3} t^{6} - q^{2} t^{6} - t^{7}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 5], [0, 6], [1, 2], [1, 4], [1, 5], [2, 3], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + q^{16} t + 7 \, q^{15} t - 24 \, q^{14} t - 3 \, q^{13} t^{2} + 10 \, q^{13} t - 5 \, q^{12} t^{2} + 2 \, q^{12} t + 2 \, q^{11} t^{2} - 7 \, q^{10} t^{3} - q^{11} t + 48 \, q^{10} t^{2} + 39 \, q^{9} t^{3} - 39 \, q^{9} t^{2} - 48 \, q^{8} t^{3} + q^{7} t^{4} + 7 \, q^{8} t^{2} - 2 \, q^{7} t^{3} - 2 \, q^{6} t^{4} + 5 \, q^{6} t^{3} - 10 \, q^{5} t^{4} + 3 \, q^{5} t^{3} + 24 \, q^{4} t^{4} - 7 \, q^{3} t^{4} - q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 5], [0, 6], [1, 2], [1, 4], [1, 5], [2, 3], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + q^{16} t - 2 \, q^{15} t + 15 \, q^{14} t - 3 \, q^{13} t^{2} - 40 \, q^{13} t - 6 \, q^{12} t^{2} + 24 \, q^{12} t + 21 \, q^{11} t^{2} - 11 \, q^{10} t^{3} - 2 \, q^{11} t - 32 \, q^{10} t^{2} + 54 \, q^{9} t^{3} - q^{10} t + 73 \, q^{9} t^{2} - 73 \, q^{8} t^{3} + q^{7} t^{4} - 54 \, q^{8} t^{2} + 32 \, q^{7} t^{3} + 2 \, q^{6} t^{4} + 11 \, q^{7} t^{2} - 21 \, q^{6} t^{3} - 24 \, q^{5} t^{4} + 6 \, q^{5} t^{3} + 40 \, q^{4} t^{4} + 3 \, q^{4} t^{3} - 15 \, q^{3} t^{4} + 2 \, q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 6], [1, 2], [1, 4], [1, 5], [2, 3], [2, 5], [3, 4], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + 8 \, q^{16} t - 15 \, q^{15} t - 4 \, q^{14} t^{2} - 4 \, q^{14} t - 32 \, q^{13} t^{2} + 4 \, q^{12} t^{3} + 74 \, q^{12} t^{2} - 6 \, q^{11} t^{3} - q^{10} t^{4} + 8 \, q^{12} t + 72 \, q^{10} t^{3} + 8 \, q^{9} t^{4} - 3 \, q^{11} t - 30 \, q^{10} t^{2} - 160 \, q^{9} t^{3} - 30 \, q^{8} t^{4} - 3 \, q^{7} t^{5} + 8 \, q^{9} t^{2} + 72 \, q^{8} t^{3} + 8 \, q^{6} t^{5} - q^{8} t^{2} - 6 \, q^{7} t^{3} + 74 \, q^{6} t^{4} + 4 \, q^{6} t^{3} - 32 \, q^{5} t^{4} - 4 \, q^{4} t^{5} - 4 \, q^{4} t^{4} - 15 \, q^{3} t^{5} + 8 \, q^{2} t^{5} + t^{6}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 5], [0, 6], [1, 2], [1, 4], [2, 3], [3, 4], [3, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + q^{17} t - 2 \, q^{16} t + 4 \, q^{15} t - 2 \, q^{14} t^{2} - 7 \, q^{14} t - 3 \, q^{13} t^{2} - 10 \, q^{13} t + 11 \, q^{12} t^{2} + q^{11} t^{3} + 12 \, q^{12} t - 12 \, q^{11} t^{2} - 2 \, q^{10} t^{3} - 3 \, q^{11} t + 31 \, q^{10} t^{2} + 16 \, q^{9} t^{3} - 16 \, q^{9} t^{2} - 31 \, q^{8} t^{3} + 3 \, q^{7} t^{4} + 2 \, q^{8} t^{2} + 12 \, q^{7} t^{3} - 12 \, q^{6} t^{4} - q^{7} t^{2} - 11 \, q^{6} t^{3} + 10 \, q^{5} t^{4} + 3 \, q^{5} t^{3} + 7 \, q^{4} t^{4} + 2 \, q^{4} t^{3} - 4 \, q^{3} t^{4} + 2 \, q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 5], [1, 2], [1, 4], [1, 6], [2, 3], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 5 \, q^{15} t - 10 \, q^{14} t - 3 \, q^{13} t^{2} + 3 \, q^{13} t - 2 \, q^{12} t^{2} + q^{11} t^{3} - 12 \, q^{12} t - q^{11} t^{2} + 12 \, q^{11} t + 30 \, q^{10} t^{2} - q^{9} t^{3} - 3 \, q^{10} t - 14 \, q^{9} t^{2} + 14 \, q^{8} t^{3} + 3 \, q^{7} t^{4} + q^{8} t^{2} - 30 \, q^{7} t^{3} - 12 \, q^{6} t^{4} + q^{6} t^{3} + 12 \, q^{5} t^{4} - q^{6} t^{2} + 2 \, q^{5} t^{3} - 3 \, q^{4} t^{4} + 3 \, q^{4} t^{3} + 10 \, q^{3} t^{4} - 5 \, q^{2} t^{4} - t^{5}}{{\left(q^{4} - t\right)} {\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 5], [0, 6], [1, 2], [1, 4], [2, 3], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + q^{16} t + 15 \, q^{15} t - 44 \, q^{14} t - 11 \, q^{13} t^{2} + 26 \, q^{13} t + 23 \, q^{12} t^{2} - 2 \, q^{12} t - 54 \, q^{11} t^{2} - 15 \, q^{10} t^{3} - q^{11} t + 116 \, q^{10} t^{2} + 79 \, q^{9} t^{3} - 79 \, q^{9} t^{2} - 116 \, q^{8} t^{3} + q^{7} t^{4} + 15 \, q^{8} t^{2} + 54 \, q^{7} t^{3} + 2 \, q^{6} t^{4} - 23 \, q^{6} t^{3} - 26 \, q^{5} t^{4} + 11 \, q^{5} t^{3} + 44 \, q^{4} t^{4} - 15 \, q^{3} t^{4} - q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 5], [0, 6], [1, 2], [1, 4], [1, 6], [2, 3], [2, 6], [3, 4], [3, 5], [4, 5]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + q^{13} t + 8 \, q^{12} t - 20 \, q^{11} t - 2 \, q^{10} t^{2} - 7 \, q^{9} t^{2} + 10 \, q^{9} t + 12 \, q^{8} t^{2} - 3 \, q^{7} t^{3} - 3 \, q^{8} t + 12 \, q^{7} t^{2} + 10 \, q^{6} t^{3} - 7 \, q^{6} t^{2} - 2 \, q^{5} t^{2} - 20 \, q^{4} t^{3} + 8 \, q^{3} t^{3} + q^{2} t^{3} + t^{4}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 5], [0, 6], [1, 2], [1, 4], [1, 6], [2, 3], [2, 6], [3, 4], [3, 5], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{13} + q^{11} t + 4 \, q^{10} t - 7 \, q^{9} t - 10 \, q^{8} t + 3 \, q^{7} t^{2} + 12 \, q^{7} t - 12 \, q^{6} t^{2} - 3 \, q^{6} t + 10 \, q^{5} t^{2} + 7 \, q^{4} t^{2} - 4 \, q^{3} t^{2} - q^{2} t^{2} - t^{3}}{{\left(q^{4} - t\right)} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 5], [0, 6], [1, 2], [1, 4], [1, 6], [2, 3], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + q^{18} t + q^{17} t + 2 \, q^{16} t - q^{15} t^{2} - 26 \, q^{15} t - 8 \, q^{14} t^{2} + 22 \, q^{14} t + 12 \, q^{13} t^{2} - 5 \, q^{13} t - 3 \, q^{12} t^{2} - 2 \, q^{11} t^{3} + 29 \, q^{11} t^{2} + 21 \, q^{10} t^{3} - 21 \, q^{10} t^{2} - 29 \, q^{9} t^{3} + 2 \, q^{9} t^{2} + 3 \, q^{8} t^{3} + 5 \, q^{7} t^{4} - 12 \, q^{7} t^{3} - 22 \, q^{6} t^{4} + 8 \, q^{6} t^{3} + 26 \, q^{5} t^{4} + q^{5} t^{3} - 2 \, q^{4} t^{4} - q^{3} t^{4} - q^{2} t^{4} - t^{5}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 5], [0, 6], [1, 2], [1, 4], [1, 5], [2, 3], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + q^{14} t + q^{13} t - q^{12} t - q^{11} t^{2} - 16 \, q^{11} t - 3 \, q^{10} t^{2} + 14 \, q^{10} t + 3 \, q^{9} t^{2} - 3 \, q^{9} t + 8 \, q^{8} t^{2} - 3 \, q^{7} t^{3} + 3 \, q^{7} t^{2} + 14 \, q^{6} t^{3} - 3 \, q^{6} t^{2} - 16 \, q^{5} t^{3} - q^{5} t^{2} - q^{4} t^{3} + q^{3} t^{3} + q^{2} t^{3} + t^{4}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 5], [0, 6], [1, 2], [1, 4], [1, 5], [2, 3], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + 2 \, q^{13} t - q^{11} t^{2} - 5 \, q^{11} t - 2 \, q^{10} t^{2} - 10 \, q^{10} t + 2 \, q^{9} t^{2} + 12 \, q^{9} t + 4 \, q^{8} t^{2} - 3 \, q^{7} t^{3} - 3 \, q^{8} t + 4 \, q^{7} t^{2} + 12 \, q^{6} t^{3} + 2 \, q^{6} t^{2} - 10 \, q^{5} t^{3} - 2 \, q^{5} t^{2} - 5 \, q^{4} t^{3} - q^{4} t^{2} + 2 \, q^{2} t^{3} + t^{4}}{{\left(q^{4} - t\right)} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 4], [0, 6], [1, 2], [1, 5], [2, 3], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 3 \, q^{15} t - 6 \, q^{14} t - 3 \, q^{13} t^{2} - q^{13} t + q^{11} t^{3} - 6 \, q^{12} t + q^{11} t^{2} + 6 \, q^{11} t + 18 \, q^{10} t^{2} + q^{9} t^{3} - q^{10} t - 4 \, q^{9} t^{2} + 4 \, q^{8} t^{3} + q^{7} t^{4} - q^{8} t^{2} - 18 \, q^{7} t^{3} - 6 \, q^{6} t^{4} - q^{6} t^{3} + 6 \, q^{5} t^{4} - q^{6} t^{2} + q^{4} t^{4} + 3 \, q^{4} t^{3} + 6 \, q^{3} t^{4} - 3 \, q^{2} t^{4} - t^{5}}{{\left(q^{4} - t\right)} {\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 4], [0, 5], [1, 2], [1, 6], [2, 3], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + q^{14} t + 3 \, q^{13} t - 9 \, q^{12} t - q^{11} t^{2} - 4 \, q^{11} t - q^{10} t^{2} + 6 \, q^{10} t - 5 \, q^{9} t^{2} - q^{9} t + 20 \, q^{8} t^{2} - q^{7} t^{3} - 5 \, q^{7} t^{2} + 6 \, q^{6} t^{3} - q^{6} t^{2} - 4 \, q^{5} t^{3} - q^{5} t^{2} - 9 \, q^{4} t^{3} + 3 \, q^{3} t^{3} + q^{2} t^{3} + t^{4}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 4], [0, 5], [1, 2], [1, 5], [1, 6], [2, 3], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 2 \, q^{14} t - q^{13} t - 12 \, q^{12} t - q^{11} t^{2} + 8 \, q^{11} t - 4 \, q^{10} t^{2} - q^{10} t + 8 \, q^{9} t^{2} + 8 \, q^{8} t^{2} - q^{7} t^{3} - 4 \, q^{7} t^{2} + 8 \, q^{6} t^{3} - q^{6} t^{2} - 12 \, q^{5} t^{3} - q^{4} t^{3} + 2 \, q^{3} t^{3} + t^{4}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 15 edges: | [[0, 4], [0, 5], [0, 6], [1, 2], [1, 4], [1, 6], [2, 3], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{15} t + q^{15} - 2 \, q^{14} t - 4 \, q^{13} t^{2} + 20 \, q^{13} t - 4 \, q^{12} t^{2} - 26 \, q^{11} t^{3} - 52 \, q^{12} t + 26 \, q^{11} t^{2} + 112 \, q^{10} t^{3} + 4 \, q^{9} t^{4} + 28 \, q^{11} t - 88 \, q^{10} t^{2} - 136 \, q^{9} t^{3} + 20 \, q^{8} t^{4} + q^{7} t^{5} + 4 \, q^{10} t + 192 \, q^{9} t^{2} + 40 \, q^{8} t^{3} - 131 \, q^{7} t^{4} - 6 \, q^{6} t^{5} - 6 \, q^{9} t - 131 \, q^{8} t^{2} + 40 \, q^{7} t^{3} + 192 \, q^{6} t^{4} + 4 \, q^{5} t^{5} + q^{8} t + 20 \, q^{7} t^{2} - 136 \, q^{6} t^{3} - 88 \, q^{5} t^{4} + 28 \, q^{4} t^{5} + 4 \, q^{6} t^{2} + 112 \, q^{5} t^{3} + 26 \, q^{4} t^{4} - 52 \, q^{3} t^{5} - 26 \, q^{4} t^{3} - 4 \, q^{3} t^{4} + 20 \, q^{2} t^{5} - 4 \, q^{2} t^{4} - 2 \, q t^{5} + t^{6} + t^{5}}{{\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[1, 2], [1, 3], [2, 6], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{19} + q^{18} t + 12 \, q^{17} t - 4 \, q^{16} t^{2} - 33 \, q^{16} t - 5 \, q^{15} t^{2} - 16 \, q^{14} t^{3} + 4 \, q^{15} t - 44 \, q^{14} t^{2} + 78 \, q^{13} t^{3} + 6 \, q^{12} t^{4} + 16 \, q^{14} t + 166 \, q^{13} t^{2} - 64 \, q^{12} t^{3} + 17 \, q^{11} t^{4} - q^{10} t^{5} - 8 \, q^{13} t - 100 \, q^{12} t^{2} + 34 \, q^{11} t^{3} - 158 \, q^{10} t^{4} - 4 \, q^{9} t^{5} + q^{12} t + 3 \, q^{11} t^{2} - 202 \, q^{10} t^{3} + 202 \, q^{9} t^{4} - 3 \, q^{8} t^{5} - q^{7} t^{6} + 4 \, q^{10} t^{2} + 158 \, q^{9} t^{3} - 34 \, q^{8} t^{4} + 100 \, q^{7} t^{5} + 8 \, q^{6} t^{6} + q^{9} t^{2} - 17 \, q^{8} t^{3} + 64 \, q^{7} t^{4} - 166 \, q^{6} t^{5} - 16 \, q^{5} t^{6} - 6 \, q^{7} t^{3} - 78 \, q^{6} t^{4} + 44 \, q^{5} t^{5} - 4 \, q^{4} t^{6} + 16 \, q^{5} t^{4} + 5 \, q^{4} t^{5} + 33 \, q^{3} t^{6} + 4 \, q^{3} t^{5} - 12 \, q^{2} t^{6} - q t^{6} - t^{7}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{4} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 6], [1, 2], [1, 3], [2, 6], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + 3 \, q^{19} t - 3 \, q^{18} t^{2} + q^{17} t^{3} - 8 \, q^{17} t^{2} + 4 \, q^{16} t^{3} - 10 \, q^{17} t - 15 \, q^{16} t^{2} + 3 \, q^{15} t^{3} + 5 \, q^{14} t^{4} - 3 \, q^{13} t^{5} - 22 \, q^{16} t + 72 \, q^{15} t^{2} + 50 \, q^{14} t^{3} - 24 \, q^{13} t^{4} + 32 \, q^{15} t - 15 \, q^{14} t^{2} - 57 \, q^{13} t^{3} - 43 \, q^{12} t^{4} + 13 \, q^{11} t^{5} + 4 \, q^{10} t^{6} - 12 \, q^{14} t + 26 \, q^{13} t^{2} - 130 \, q^{12} t^{3} + 28 \, q^{11} t^{4} + 14 \, q^{10} t^{5} + 2 \, q^{9} t^{6} + q^{13} t - 35 \, q^{12} t^{2} + 49 \, q^{11} t^{3} + 138 \, q^{10} t^{4} + 49 \, q^{9} t^{5} - 35 \, q^{8} t^{6} + q^{7} t^{7} + 2 \, q^{11} t^{2} + 14 \, q^{10} t^{3} + 28 \, q^{9} t^{4} - 130 \, q^{8} t^{5} + 26 \, q^{7} t^{6} - 12 \, q^{6} t^{7} + 4 \, q^{10} t^{2} + 13 \, q^{9} t^{3} - 43 \, q^{8} t^{4} - 57 \, q^{7} t^{5} - 15 \, q^{6} t^{6} + 32 \, q^{5} t^{7} - 24 \, q^{7} t^{4} + 50 \, q^{6} t^{5} + 72 \, q^{5} t^{6} - 22 \, q^{4} t^{7} - 3 \, q^{7} t^{3} + 5 \, q^{6} t^{4} + 3 \, q^{5} t^{5} - 15 \, q^{4} t^{6} - 10 \, q^{3} t^{7} + 4 \, q^{4} t^{5} - 8 \, q^{3} t^{6} + q^{3} t^{5} - 3 \, q^{2} t^{6} + 3 \, q t^{7} + t^{8}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[0, 5], [1, 2], [1, 3], [2, 6], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + 2 \, q^{15} t - q^{14} t^{2} + 4 \, q^{14} t - 4 \, q^{13} t^{2} - 13 \, q^{13} t - 9 \, q^{12} t^{2} - 3 \, q^{11} t^{3} + 3 \, q^{10} t^{4} - 16 \, q^{12} t + 22 \, q^{11} t^{2} + 28 \, q^{10} t^{3} - 2 \, q^{9} t^{4} + 26 \, q^{11} t + 16 \, q^{10} t^{2} - 5 \, q^{9} t^{3} - 18 \, q^{8} t^{4} + q^{7} t^{5} - 10 \, q^{10} t + 8 \, q^{9} t^{2} - 60 \, q^{8} t^{3} + 8 \, q^{7} t^{4} - 10 \, q^{6} t^{5} + q^{9} t - 18 \, q^{8} t^{2} - 5 \, q^{7} t^{3} + 16 \, q^{6} t^{4} + 26 \, q^{5} t^{5} - 2 \, q^{7} t^{2} + 28 \, q^{6} t^{3} + 22 \, q^{5} t^{4} - 16 \, q^{4} t^{5} + 3 \, q^{6} t^{2} - 3 \, q^{5} t^{3} - 9 \, q^{4} t^{4} - 13 \, q^{3} t^{5} - 4 \, q^{3} t^{4} + 4 \, q^{2} t^{5} - q^{2} t^{4} + 2 \, q t^{5} + t^{6}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 5], [1, 2], [1, 3], [2, 6], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{19} + q^{18} t + 18 \, q^{17} t - 4 \, q^{16} t^{2} - 49 \, q^{16} t - q^{15} t^{2} - 24 \, q^{14} t^{3} + 18 \, q^{15} t - 88 \, q^{14} t^{2} + 104 \, q^{13} t^{3} + 4 \, q^{12} t^{4} + 12 \, q^{14} t + 266 \, q^{13} t^{2} - 88 \, q^{12} t^{3} + 49 \, q^{11} t^{4} - q^{10} t^{5} - 8 \, q^{13} t - 186 \, q^{12} t^{2} + 76 \, q^{11} t^{3} - 256 \, q^{10} t^{4} - 2 \, q^{9} t^{5} + q^{12} t + 31 \, q^{11} t^{2} - 306 \, q^{10} t^{3} + 306 \, q^{9} t^{4} - 31 \, q^{8} t^{5} - q^{7} t^{6} + 2 \, q^{10} t^{2} + 256 \, q^{9} t^{3} - 76 \, q^{8} t^{4} + 186 \, q^{7} t^{5} + 8 \, q^{6} t^{6} + q^{9} t^{2} - 49 \, q^{8} t^{3} + 88 \, q^{7} t^{4} - 266 \, q^{6} t^{5} - 12 \, q^{5} t^{6} - 4 \, q^{7} t^{3} - 104 \, q^{6} t^{4} + 88 \, q^{5} t^{5} - 18 \, q^{4} t^{6} + 24 \, q^{5} t^{4} + q^{4} t^{5} + 49 \, q^{3} t^{6} + 4 \, q^{3} t^{5} - 18 \, q^{2} t^{6} - q t^{6} - t^{7}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{4} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[0, 6], [1, 2], [1, 3], [2, 5], [3, 4], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + q^{17} t + 8 \, q^{16} t - 2 \, q^{15} t^{2} - 12 \, q^{15} t - q^{14} t^{2} - q^{13} t^{3} - 26 \, q^{14} t - 30 \, q^{13} t^{2} - 10 \, q^{12} t^{3} + 34 \, q^{13} t + 63 \, q^{12} t^{2} + 61 \, q^{11} t^{3} + 8 \, q^{10} t^{4} - 12 \, q^{12} t + 8 \, q^{11} t^{2} - 48 \, q^{10} t^{3} - 16 \, q^{9} t^{4} + q^{11} t - 15 \, q^{10} t^{2} - 24 \, q^{9} t^{3} - 15 \, q^{8} t^{4} + q^{7} t^{5} - 16 \, q^{9} t^{2} - 48 \, q^{8} t^{3} + 8 \, q^{7} t^{4} - 12 \, q^{6} t^{5} + 8 \, q^{8} t^{2} + 61 \, q^{7} t^{3} + 63 \, q^{6} t^{4} + 34 \, q^{5} t^{5} - 10 \, q^{6} t^{3} - 30 \, q^{5} t^{4} - 26 \, q^{4} t^{5} - q^{5} t^{3} - q^{4} t^{4} - 12 \, q^{3} t^{5} - 2 \, q^{3} t^{4} + 8 \, q^{2} t^{5} + q t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 6], [1, 2], [1, 3], [2, 5], [3, 4], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{22} + 5 \, q^{20} t + q^{19} t - 3 \, q^{18} t^{2} - 36 \, q^{18} t - 29 \, q^{17} t^{2} + q^{16} t^{3} + 28 \, q^{17} t + 43 \, q^{16} t^{2} + q^{15} t^{3} - 4 \, q^{16} t + 40 \, q^{15} t^{2} + 51 \, q^{14} t^{3} + 3 \, q^{13} t^{4} - q^{15} t - 10 \, q^{14} t^{2} - 21 \, q^{13} t^{3} + 9 \, q^{12} t^{4} - 31 \, q^{13} t^{2} - 190 \, q^{12} t^{3} - 135 \, q^{11} t^{4} - 11 \, q^{10} t^{5} + 11 \, q^{12} t^{2} + 135 \, q^{11} t^{3} + 190 \, q^{10} t^{4} + 31 \, q^{9} t^{5} - 9 \, q^{10} t^{3} + 21 \, q^{9} t^{4} + 10 \, q^{8} t^{5} + q^{7} t^{6} - 3 \, q^{9} t^{3} - 51 \, q^{8} t^{4} - 40 \, q^{7} t^{5} + 4 \, q^{6} t^{6} - q^{7} t^{4} - 43 \, q^{6} t^{5} - 28 \, q^{5} t^{6} - q^{6} t^{4} + 29 \, q^{5} t^{5} + 36 \, q^{4} t^{6} + 3 \, q^{4} t^{5} - q^{3} t^{6} - 5 \, q^{2} t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 5], [0, 6], [1, 2], [1, 3], [2, 6], [3, 4], [3, 5], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + q^{13} t - 2 \, q^{12} t + 8 \, q^{11} t - 2 \, q^{10} t^{2} - 16 \, q^{10} t - 4 \, q^{9} t^{2} - 2 \, q^{9} t + 13 \, q^{8} t^{2} - 3 \, q^{7} t^{3} + 10 \, q^{8} t - 8 \, q^{7} t^{2} + 10 \, q^{6} t^{3} - 3 \, q^{7} t + 13 \, q^{6} t^{2} - 2 \, q^{5} t^{3} - 4 \, q^{5} t^{2} - 16 \, q^{4} t^{3} - 2 \, q^{4} t^{2} + 8 \, q^{3} t^{3} - 2 \, q^{2} t^{3} + q t^{3} + t^{4}}{{\left(q^{3} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 6], [1, 2], [1, 3], [1, 6], [2, 4], [2, 5], [3, 4], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{21} + 2 \, q^{19} t + 2 \, q^{18} t - q^{17} t^{2} - 15 \, q^{17} t - 8 \, q^{16} t^{2} - 2 \, q^{16} t + 3 \, q^{15} t^{2} + 2 \, q^{14} t^{3} + 10 \, q^{15} t + 18 \, q^{14} t^{2} + q^{13} t^{3} - 3 \, q^{14} t + 22 \, q^{13} t^{2} + 20 \, q^{12} t^{3} + q^{11} t^{4} - 18 \, q^{12} t^{2} - 33 \, q^{11} t^{3} - 2 \, q^{10} t^{4} - 2 \, q^{11} t^{2} - 33 \, q^{10} t^{3} - 18 \, q^{9} t^{4} + q^{10} t^{2} + 20 \, q^{9} t^{3} + 22 \, q^{8} t^{4} - 3 \, q^{7} t^{5} + q^{8} t^{3} + 18 \, q^{7} t^{4} + 10 \, q^{6} t^{5} + 2 \, q^{7} t^{3} + 3 \, q^{6} t^{4} - 2 \, q^{5} t^{5} - 8 \, q^{5} t^{4} - 15 \, q^{4} t^{5} - q^{4} t^{4} + 2 \, q^{3} t^{5} + 2 \, q^{2} t^{5} + t^{6}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 5], [0, 6], [1, 2], [1, 3], [2, 4], [2, 6], [3, 4], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{19} + q^{17} t + 4 \, q^{16} t - 11 \, q^{15} t - 2 \, q^{14} t^{2} - 8 \, q^{14} t - 6 \, q^{13} t^{2} + 12 \, q^{13} t + 4 \, q^{12} t^{2} - q^{11} t^{3} - 3 \, q^{12} t + 28 \, q^{11} t^{2} + 6 \, q^{10} t^{3} - 9 \, q^{10} t^{2} + 9 \, q^{9} t^{3} - 6 \, q^{9} t^{2} - 28 \, q^{8} t^{3} + 3 \, q^{7} t^{4} + q^{8} t^{2} - 4 \, q^{7} t^{3} - 12 \, q^{6} t^{4} + 6 \, q^{6} t^{3} + 8 \, q^{5} t^{4} + 2 \, q^{5} t^{3} + 11 \, q^{4} t^{4} - 4 \, q^{3} t^{4} - q^{2} t^{4} - t^{5}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 5], [0, 6], [1, 2], [1, 3], [1, 6], [2, 4], [2, 5], [3, 4], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{19} + q^{17} t + 4 \, q^{16} t - 11 \, q^{15} t - 2 \, q^{14} t^{2} - 8 \, q^{14} t - 6 \, q^{13} t^{2} + 12 \, q^{13} t + 4 \, q^{12} t^{2} - q^{11} t^{3} - 3 \, q^{12} t + 28 \, q^{11} t^{2} + 6 \, q^{10} t^{3} - 9 \, q^{10} t^{2} + 9 \, q^{9} t^{3} - 6 \, q^{9} t^{2} - 28 \, q^{8} t^{3} + 3 \, q^{7} t^{4} + q^{8} t^{2} - 4 \, q^{7} t^{3} - 12 \, q^{6} t^{4} + 6 \, q^{6} t^{3} + 8 \, q^{5} t^{4} + 2 \, q^{5} t^{3} + 11 \, q^{4} t^{4} - 4 \, q^{3} t^{4} - q^{2} t^{4} - t^{5}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 5], [0, 6], [1, 2], [1, 3], [1, 5], [2, 4], [2, 6], [3, 4], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{16} t + q^{16} - 2 \, q^{15} t - 3 \, q^{13} t^{2} + 13 \, q^{13} t - 2 \, q^{12} t^{2} - 36 \, q^{12} t + 14 \, q^{11} t^{2} - 11 \, q^{10} t^{3} + 22 \, q^{11} t - 7 \, q^{10} t^{2} + 50 \, q^{9} t^{3} - 2 \, q^{10} t - 17 \, q^{9} t^{2} - 64 \, q^{8} t^{3} + q^{7} t^{4} - q^{9} t + 64 \, q^{8} t^{2} + 17 \, q^{7} t^{3} + 2 \, q^{6} t^{4} - 50 \, q^{7} t^{2} + 7 \, q^{6} t^{3} - 22 \, q^{5} t^{4} + 11 \, q^{6} t^{2} - 14 \, q^{5} t^{3} + 36 \, q^{4} t^{4} + 2 \, q^{4} t^{3} - 13 \, q^{3} t^{4} + 3 \, q^{3} t^{3} + 2 \, q t^{4} - t^{5} - t^{4}}{{\left(q^{3} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[1, 2], [1, 3], [1, 4], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{21} + q^{20} t - 2 \, q^{19} t + 11 \, q^{18} t - 3 \, q^{17} t^{2} - 31 \, q^{17} t - 3 \, q^{16} t^{2} + 16 \, q^{16} t + 15 \, q^{15} t^{2} - 9 \, q^{14} t^{3} - 39 \, q^{14} t^{2} + 47 \, q^{13} t^{3} - q^{14} t + 107 \, q^{13} t^{2} - 55 \, q^{12} t^{3} - q^{11} t^{4} - 80 \, q^{12} t^{2} + 7 \, q^{11} t^{3} + 19 \, q^{10} t^{4} + 19 \, q^{11} t^{2} + 7 \, q^{10} t^{3} - 80 \, q^{9} t^{4} - q^{10} t^{2} - 55 \, q^{9} t^{3} + 107 \, q^{8} t^{4} - q^{7} t^{5} + 47 \, q^{8} t^{3} - 39 \, q^{7} t^{4} - 9 \, q^{7} t^{3} + 15 \, q^{6} t^{4} + 16 \, q^{5} t^{5} - 3 \, q^{5} t^{4} - 31 \, q^{4} t^{5} - 3 \, q^{4} t^{4} + 11 \, q^{3} t^{5} - 2 \, q^{2} t^{5} + q t^{5} + t^{6}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 6], [1, 2], [1, 3], [1, 4], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{26} + q^{24} t + 9 \, q^{23} t - 30 \, q^{22} t - 3 \, q^{21} t^{2} + 12 \, q^{21} t - 9 \, q^{20} t^{2} + 2 \, q^{20} t - 22 \, q^{19} t^{2} - 9 \, q^{18} t^{3} - q^{19} t + 133 \, q^{18} t^{2} + 61 \, q^{17} t^{3} - 97 \, q^{17} t^{2} - 65 \, q^{16} t^{3} - q^{15} t^{4} + 21 \, q^{16} t^{2} + 31 \, q^{15} t^{3} + 20 \, q^{14} t^{4} - 2 \, q^{15} t^{2} - 149 \, q^{14} t^{3} - 115 \, q^{13} t^{4} + 115 \, q^{13} t^{3} + 149 \, q^{12} t^{4} + 2 \, q^{11} t^{5} - 20 \, q^{12} t^{3} - 31 \, q^{11} t^{4} - 21 \, q^{10} t^{5} + q^{11} t^{3} + 65 \, q^{10} t^{4} + 97 \, q^{9} t^{5} - 61 \, q^{9} t^{4} - 133 \, q^{8} t^{5} + q^{7} t^{6} + 9 \, q^{8} t^{4} + 22 \, q^{7} t^{5} - 2 \, q^{6} t^{6} + 9 \, q^{6} t^{5} - 12 \, q^{5} t^{6} + 3 \, q^{5} t^{5} + 30 \, q^{4} t^{6} - 9 \, q^{3} t^{6} - q^{2} t^{6} - t^{7}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 5], [0, 6], [1, 2], [1, 3], [1, 4], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + q^{16} t + 9 \, q^{15} t - 32 \, q^{14} t - 3 \, q^{13} t^{2} + 22 \, q^{13} t - 3 \, q^{12} t^{2} - 6 \, q^{12} t - 6 \, q^{11} t^{2} - 9 \, q^{10} t^{3} + q^{11} t + 60 \, q^{10} t^{2} + 47 \, q^{9} t^{3} - 47 \, q^{9} t^{2} - 60 \, q^{8} t^{3} - q^{7} t^{4} + 9 \, q^{8} t^{2} + 6 \, q^{7} t^{3} + 6 \, q^{6} t^{4} + 3 \, q^{6} t^{3} - 22 \, q^{5} t^{4} + 3 \, q^{5} t^{3} + 32 \, q^{4} t^{4} - 9 \, q^{3} t^{4} - q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 5], [0, 6], [1, 2], [1, 3], [1, 4], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{21} + q^{20} t - 2 \, q^{19} t + 7 \, q^{18} t - 3 \, q^{17} t^{2} - 17 \, q^{17} t - 3 \, q^{16} t^{2} - 2 \, q^{16} t + 9 \, q^{15} t^{2} - q^{14} t^{3} + 10 \, q^{15} t - 9 \, q^{14} t^{2} + 17 \, q^{13} t^{3} - 3 \, q^{14} t + 51 \, q^{13} t^{2} - 13 \, q^{12} t^{3} + q^{11} t^{4} - 32 \, q^{12} t^{2} - 13 \, q^{11} t^{3} + q^{10} t^{4} + q^{11} t^{2} - 13 \, q^{10} t^{3} - 32 \, q^{9} t^{4} + q^{10} t^{2} - 13 \, q^{9} t^{3} + 51 \, q^{8} t^{4} - 3 \, q^{7} t^{5} + 17 \, q^{8} t^{3} - 9 \, q^{7} t^{4} + 10 \, q^{6} t^{5} - q^{7} t^{3} + 9 \, q^{6} t^{4} - 2 \, q^{5} t^{5} - 3 \, q^{5} t^{4} - 17 \, q^{4} t^{5} - 3 \, q^{4} t^{4} + 7 \, q^{3} t^{5} - 2 \, q^{2} t^{5} + q t^{5} + t^{6}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 6], [1, 2], [1, 3], [1, 4], [2, 5], [2, 6], [3, 4], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + q^{17} t - 2 \, q^{16} t + 4 \, q^{15} t - 2 \, q^{14} t^{2} - 7 \, q^{14} t - q^{13} t^{2} - 10 \, q^{13} t + 3 \, q^{12} t^{2} - q^{11} t^{3} + 12 \, q^{12} t + 2 \, q^{11} t^{2} + 6 \, q^{10} t^{3} - 3 \, q^{11} t + 15 \, q^{10} t^{2} + 2 \, q^{9} t^{3} - 2 \, q^{9} t^{2} - 15 \, q^{8} t^{3} + 3 \, q^{7} t^{4} - 6 \, q^{8} t^{2} - 2 \, q^{7} t^{3} - 12 \, q^{6} t^{4} + q^{7} t^{2} - 3 \, q^{6} t^{3} + 10 \, q^{5} t^{4} + q^{5} t^{3} + 7 \, q^{4} t^{4} + 2 \, q^{4} t^{3} - 4 \, q^{3} t^{4} + 2 \, q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 6], [1, 2], [1, 3], [1, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{23} + q^{21} t + 2 \, q^{20} t - 6 \, q^{19} t - 2 \, q^{18} t^{2} - 14 \, q^{18} t - 9 \, q^{17} t^{2} + 14 \, q^{17} t + 10 \, q^{16} t^{2} - q^{15} t^{3} - 3 \, q^{16} t + 23 \, q^{15} t^{2} + 14 \, q^{14} t^{3} + 7 \, q^{14} t^{2} - 3 \, q^{13} t^{3} - 16 \, q^{13} t^{2} - 20 \, q^{12} t^{3} + 2 \, q^{11} t^{4} + 2 \, q^{12} t^{2} - 20 \, q^{11} t^{3} - 16 \, q^{10} t^{4} - 3 \, q^{10} t^{3} + 7 \, q^{9} t^{4} + 14 \, q^{9} t^{3} + 23 \, q^{8} t^{4} - 3 \, q^{7} t^{5} - q^{8} t^{3} + 10 \, q^{7} t^{4} + 14 \, q^{6} t^{5} - 9 \, q^{6} t^{4} - 14 \, q^{5} t^{5} - 2 \, q^{5} t^{4} - 6 \, q^{4} t^{5} + 2 \, q^{3} t^{5} + q^{2} t^{5} + t^{6}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 5], [0, 6], [1, 2], [1, 3], [1, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + q^{15} t - 2 \, q^{14} t + 8 \, q^{12} t - 2 \, q^{11} t^{2} - 24 \, q^{11} t - 2 \, q^{10} t^{2} + 16 \, q^{10} t + 12 \, q^{9} t^{2} - 3 \, q^{9} t - 10 \, q^{8} t^{2} - 3 \, q^{7} t^{3} + 12 \, q^{7} t^{2} + 16 \, q^{6} t^{3} - 2 \, q^{6} t^{2} - 24 \, q^{5} t^{3} - 2 \, q^{5} t^{2} + 8 \, q^{4} t^{3} - 2 \, q^{2} t^{3} + q t^{3} + t^{4}}{{\left(q^{4} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 6], [1, 2], [1, 3], [1, 4], [1, 5], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + q^{15} t - 2 \, q^{14} t + 4 \, q^{12} t - 2 \, q^{11} t^{2} - 14 \, q^{11} t + 8 \, q^{10} t + 8 \, q^{9} t^{2} - q^{9} t - 6 \, q^{8} t^{2} - q^{7} t^{3} + 8 \, q^{7} t^{2} + 8 \, q^{6} t^{3} - 14 \, q^{5} t^{3} - 2 \, q^{5} t^{2} + 4 \, q^{4} t^{3} - 2 \, q^{2} t^{3} + q t^{3} + t^{4}}{{\left(q^{4} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 6], [1, 2], [1, 3], [1, 4], [1, 5], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + q^{14} t + 5 \, q^{13} t - 13 \, q^{12} t - q^{11} t^{2} - 2 \, q^{11} t - q^{10} t^{2} + 6 \, q^{10} t - 9 \, q^{9} t^{2} - q^{9} t + 28 \, q^{8} t^{2} - q^{7} t^{3} - 9 \, q^{7} t^{2} + 6 \, q^{6} t^{3} - q^{6} t^{2} - 2 \, q^{5} t^{3} - q^{5} t^{2} - 13 \, q^{4} t^{3} + 5 \, q^{3} t^{3} + q^{2} t^{3} + t^{4}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 5], [0, 6], [1, 2], [1, 3], [1, 4], [2, 4], [2, 5], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + q^{15} t - 12 \, q^{12} t - 2 \, q^{11} t^{2} + 8 \, q^{11} t - 2 \, q^{10} t^{2} - q^{10} t + 7 \, q^{9} t^{2} + 7 \, q^{8} t^{2} - q^{7} t^{3} - 2 \, q^{7} t^{2} + 8 \, q^{6} t^{3} - 2 \, q^{6} t^{2} - 12 \, q^{5} t^{3} + q^{2} t^{3} + t^{4}}{{\left(q^{4} - t\right)}^{2} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 5], [0, 6], [1, 2], [1, 3], [1, 4], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + q^{15} t - 2 \, q^{14} t + 4 \, q^{13} t - 14 \, q^{12} t - 2 \, q^{11} t^{2} + 8 \, q^{11} t - q^{10} t + 5 \, q^{9} t^{2} + 5 \, q^{8} t^{2} - q^{7} t^{3} + 8 \, q^{6} t^{3} - 2 \, q^{6} t^{2} - 14 \, q^{5} t^{3} + 4 \, q^{4} t^{3} - 2 \, q^{3} t^{3} + q^{2} t^{3} + t^{4}}{{\left(q^{4} - t\right)}^{2} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 15 edges: | [[0, 5], [0, 6], [1, 2], [1, 3], [1, 4], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + q^{13} t + 2 \, q^{12} t - 14 \, q^{10} t - 6 \, q^{9} t^{2} + 2 \, q^{9} t - q^{8} t^{2} - 3 \, q^{7} t^{3} + 8 \, q^{8} t + 20 \, q^{7} t^{2} + 8 \, q^{6} t^{3} - 3 \, q^{7} t - q^{6} t^{2} + 2 \, q^{5} t^{3} - 6 \, q^{5} t^{2} - 14 \, q^{4} t^{3} + 2 \, q^{2} t^{3} + q t^{3} + t^{4}}{{\left(q^{3} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 4], [1, 2], [1, 3], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + q^{17} t + 2 \, q^{15} t - 2 \, q^{14} t^{2} - 11 \, q^{14} t - q^{13} t^{2} - 4 \, q^{13} t - 3 \, q^{12} t^{2} - q^{11} t^{3} + 10 \, q^{12} t + 12 \, q^{11} t^{2} + 4 \, q^{10} t^{3} - 3 \, q^{11} t + 15 \, q^{10} t^{2} + 8 \, q^{9} t^{3} - 8 \, q^{9} t^{2} - 15 \, q^{8} t^{3} + 3 \, q^{7} t^{4} - 4 \, q^{8} t^{2} - 12 \, q^{7} t^{3} - 10 \, q^{6} t^{4} + q^{7} t^{2} + 3 \, q^{6} t^{3} + 4 \, q^{5} t^{4} + q^{5} t^{3} + 11 \, q^{4} t^{4} + 2 \, q^{4} t^{3} - 2 \, q^{3} t^{4} - q t^{4} - t^{5}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 4], [1, 2], [1, 3], [1, 6], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{21} + 2 \, q^{19} t - q^{17} t^{2} - 11 \, q^{17} t - 4 \, q^{16} t^{2} - 4 \, q^{16} t - 9 \, q^{15} t^{2} + 2 \, q^{14} t^{3} + 10 \, q^{15} t + 40 \, q^{14} t^{2} - q^{13} t^{3} - 3 \, q^{14} t - 4 \, q^{13} t^{2} + 20 \, q^{12} t^{3} + q^{11} t^{4} - 4 \, q^{12} t^{2} - 31 \, q^{11} t^{3} - 4 \, q^{10} t^{4} - 4 \, q^{11} t^{2} - 31 \, q^{10} t^{3} - 4 \, q^{9} t^{4} + q^{10} t^{2} + 20 \, q^{9} t^{3} - 4 \, q^{8} t^{4} - 3 \, q^{7} t^{5} - q^{8} t^{3} + 40 \, q^{7} t^{4} + 10 \, q^{6} t^{5} + 2 \, q^{7} t^{3} - 9 \, q^{6} t^{4} - 4 \, q^{5} t^{5} - 4 \, q^{5} t^{4} - 11 \, q^{4} t^{5} - q^{4} t^{4} + 2 \, q^{2} t^{5} + t^{6}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 4], [0, 6], [1, 2], [1, 3], [1, 6], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{19} + q^{18} t + 10 \, q^{17} t - 2 \, q^{16} t^{2} - 21 \, q^{16} t + 6 \, q^{15} t^{2} - 3 \, q^{14} t^{3} - 7 \, q^{15} t - 45 \, q^{14} t^{2} + 2 \, q^{13} t^{3} + 14 \, q^{14} t + 64 \, q^{13} t^{2} + 23 \, q^{12} t^{3} - q^{11} t^{4} - 2 \, q^{13} t + 13 \, q^{12} t^{2} - 6 \, q^{11} t^{3} + 13 \, q^{10} t^{4} - q^{12} t - 5 \, q^{11} t^{2} - 26 \, q^{10} t^{3} - 28 \, q^{9} t^{4} - 28 \, q^{10} t^{2} - 26 \, q^{9} t^{3} - 5 \, q^{8} t^{4} - q^{7} t^{5} + 13 \, q^{9} t^{2} - 6 \, q^{8} t^{3} + 13 \, q^{7} t^{4} - 2 \, q^{6} t^{5} - q^{8} t^{2} + 23 \, q^{7} t^{3} + 64 \, q^{6} t^{4} + 14 \, q^{5} t^{5} + 2 \, q^{6} t^{3} - 45 \, q^{5} t^{4} - 7 \, q^{4} t^{5} - 3 \, q^{5} t^{3} + 6 \, q^{4} t^{4} - 21 \, q^{3} t^{5} - 2 \, q^{3} t^{4} + 10 \, q^{2} t^{5} + q t^{5} + t^{6}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 4], [0, 5], [1, 2], [1, 3], [2, 6], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 2 \, q^{15} t + 2 \, q^{14} t - q^{13} t^{2} - 16 \, q^{13} t - 6 \, q^{12} t^{2} + 4 \, q^{12} t - 3 \, q^{11} t^{2} + 2 \, q^{10} t^{3} + 4 \, q^{11} t + 36 \, q^{10} t^{2} - q^{10} t - 14 \, q^{9} t^{2} + 14 \, q^{8} t^{3} + q^{7} t^{4} - 36 \, q^{7} t^{3} - 4 \, q^{6} t^{4} - 2 \, q^{7} t^{2} + 3 \, q^{6} t^{3} - 4 \, q^{5} t^{4} + 6 \, q^{5} t^{3} + 16 \, q^{4} t^{4} + q^{4} t^{3} - 2 \, q^{3} t^{4} - 2 \, q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 4], [0, 5], [1, 2], [1, 3], [1, 6], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 2 \, q^{15} t - q^{13} t^{2} - 12 \, q^{13} t - 4 \, q^{12} t^{2} + 2 \, q^{12} t - 5 \, q^{11} t^{2} + 2 \, q^{10} t^{3} + 4 \, q^{11} t + 36 \, q^{10} t^{2} - 2 \, q^{9} t^{3} - q^{10} t - 16 \, q^{9} t^{2} + 16 \, q^{8} t^{3} + q^{7} t^{4} + 2 \, q^{8} t^{2} - 36 \, q^{7} t^{3} - 4 \, q^{6} t^{4} - 2 \, q^{7} t^{2} + 5 \, q^{6} t^{3} - 2 \, q^{5} t^{4} + 4 \, q^{5} t^{3} + 12 \, q^{4} t^{4} + q^{4} t^{3} - 2 \, q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 4], [0, 5], [1, 2], [1, 3], [1, 6], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{24} + 2 \, q^{22} t + 7 \, q^{21} t - q^{20} t^{2} - 31 \, q^{20} t - 18 \, q^{19} t^{2} + 12 \, q^{19} t + 27 \, q^{18} t^{2} + 5 \, q^{17} t^{3} + 6 \, q^{18} t - 21 \, q^{17} t^{2} - 11 \, q^{16} t^{3} - 3 \, q^{17} t + 100 \, q^{16} t^{2} + 99 \, q^{15} t^{3} + 9 \, q^{14} t^{4} - 82 \, q^{15} t^{2} - 189 \, q^{14} t^{3} - 45 \, q^{13} t^{4} + 15 \, q^{14} t^{2} + 67 \, q^{13} t^{3} + 42 \, q^{12} t^{4} - q^{11} t^{5} + q^{13} t^{2} - 42 \, q^{12} t^{3} - 67 \, q^{11} t^{4} - 15 \, q^{10} t^{5} + 45 \, q^{11} t^{3} + 189 \, q^{10} t^{4} + 82 \, q^{9} t^{5} - 9 \, q^{10} t^{3} - 99 \, q^{9} t^{4} - 100 \, q^{8} t^{5} + 3 \, q^{7} t^{6} + 11 \, q^{8} t^{4} + 21 \, q^{7} t^{5} - 6 \, q^{6} t^{6} - 5 \, q^{7} t^{4} - 27 \, q^{6} t^{5} - 12 \, q^{5} t^{6} + 18 \, q^{5} t^{5} + 31 \, q^{4} t^{6} + q^{4} t^{5} - 7 \, q^{3} t^{6} - 2 \, q^{2} t^{6} - t^{7}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 4], [0, 5], [1, 2], [1, 3], [2, 5], [2, 6], [3, 4], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + q^{16} t + 11 \, q^{15} t - 34 \, q^{14} t - 9 \, q^{13} t^{2} + 18 \, q^{13} t + 15 \, q^{12} t^{2} - 30 \, q^{11} t^{2} - 9 \, q^{10} t^{3} - q^{11} t + 78 \, q^{10} t^{2} + 53 \, q^{9} t^{3} - 53 \, q^{9} t^{2} - 78 \, q^{8} t^{3} + q^{7} t^{4} + 9 \, q^{8} t^{2} + 30 \, q^{7} t^{3} - 15 \, q^{6} t^{3} - 18 \, q^{5} t^{4} + 9 \, q^{5} t^{3} + 34 \, q^{4} t^{4} - 11 \, q^{3} t^{4} - q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 4], [0, 5], [1, 2], [1, 3], [1, 6], [2, 5], [2, 6], [3, 4], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + 15 \, q^{13} t - 36 \, q^{12} t + 18 \, q^{11} t + 9 \, q^{10} t^{2} - 60 \, q^{9} t^{2} - q^{9} t + 108 \, q^{8} t^{2} - q^{7} t^{3} - 60 \, q^{7} t^{2} + 9 \, q^{6} t^{2} + 18 \, q^{5} t^{3} - 36 \, q^{4} t^{3} + 15 \, q^{3} t^{3} + t^{4}}{{\left(q^{3} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 4], [0, 5], [0, 6], [1, 2], [1, 3], [1, 6], [2, 5], [2, 6], [3, 4], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + q^{13} t + 6 \, q^{12} t - 18 \, q^{11} t - 2 \, q^{10} t^{2} + 4 \, q^{10} t - 5 \, q^{9} t^{2} + 4 \, q^{9} t + 10 \, q^{8} t^{2} - q^{7} t^{3} - q^{8} t + 10 \, q^{7} t^{2} + 4 \, q^{6} t^{3} - 5 \, q^{6} t^{2} + 4 \, q^{5} t^{3} - 2 \, q^{5} t^{2} - 18 \, q^{4} t^{3} + 6 \, q^{3} t^{3} + q^{2} t^{3} + t^{4}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 4], [0, 5], [1, 2], [1, 3], [1, 6], [2, 5], [2, 6], [3, 4], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{22} + q^{20} t + 7 \, q^{19} t - 21 \, q^{18} t - 5 \, q^{17} t^{2} - 6 \, q^{16} t^{2} + 10 \, q^{16} t + 3 \, q^{15} t^{2} - 3 \, q^{14} t^{3} - 3 \, q^{15} t + 60 \, q^{14} t^{2} + 36 \, q^{13} t^{3} - 39 \, q^{13} t^{2} - 43 \, q^{12} t^{3} + q^{11} t^{4} + q^{12} t^{2} + q^{10} t^{4} + q^{11} t^{2} - 43 \, q^{10} t^{3} - 39 \, q^{9} t^{4} + 36 \, q^{9} t^{3} + 60 \, q^{8} t^{4} - 3 \, q^{7} t^{5} - 3 \, q^{8} t^{3} + 3 \, q^{7} t^{4} + 10 \, q^{6} t^{5} - 6 \, q^{6} t^{4} - 5 \, q^{5} t^{4} - 21 \, q^{4} t^{5} + 7 \, q^{3} t^{5} + q^{2} t^{5} + t^{6}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 4], [0, 6], [1, 2], [1, 3], [1, 5], [2, 4], [2, 6], [3, 5], [3, 6], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 2 \, q^{15} t + 2 \, q^{14} t - q^{13} t^{2} - 16 \, q^{13} t - 8 \, q^{12} t^{2} + 4 \, q^{12} t + 5 \, q^{11} t^{2} + 2 \, q^{10} t^{3} + 4 \, q^{11} t + 24 \, q^{10} t^{2} + 2 \, q^{9} t^{3} - q^{10} t - 6 \, q^{9} t^{2} + 6 \, q^{8} t^{3} + q^{7} t^{4} - 2 \, q^{8} t^{2} - 24 \, q^{7} t^{3} - 4 \, q^{6} t^{4} - 2 \, q^{7} t^{2} - 5 \, q^{6} t^{3} - 4 \, q^{5} t^{4} + 8 \, q^{5} t^{3} + 16 \, q^{4} t^{4} + q^{4} t^{3} - 2 \, q^{3} t^{4} - 2 \, q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 4], [0, 5], [1, 2], [1, 3], [1, 6], [2, 4], [2, 6], [3, 5], [3, 6], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{22} + q^{20} t + 7 \, q^{19} t - 21 \, q^{18} t - 7 \, q^{17} t^{2} + 4 \, q^{16} t^{2} + 10 \, q^{16} t - 17 \, q^{15} t^{2} - 3 \, q^{14} t^{3} - 3 \, q^{15} t + 80 \, q^{14} t^{2} + 36 \, q^{13} t^{3} - 49 \, q^{13} t^{2} - 43 \, q^{12} t^{3} + q^{11} t^{4} + 3 \, q^{12} t^{2} + 3 \, q^{10} t^{4} + q^{11} t^{2} - 43 \, q^{10} t^{3} - 49 \, q^{9} t^{4} + 36 \, q^{9} t^{3} + 80 \, q^{8} t^{4} - 3 \, q^{7} t^{5} - 3 \, q^{8} t^{3} - 17 \, q^{7} t^{4} + 10 \, q^{6} t^{5} + 4 \, q^{6} t^{4} - 7 \, q^{5} t^{4} - 21 \, q^{4} t^{5} + 7 \, q^{3} t^{5} + q^{2} t^{5} + t^{6}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 4], [0, 5], [1, 2], [1, 3], [1, 5], [2, 4], [2, 6], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + q^{18} t - q^{17} t + 4 \, q^{16} t - q^{15} t^{2} - 22 \, q^{15} t - 6 \, q^{14} t^{2} + 16 \, q^{14} t + 8 \, q^{13} t^{2} - 3 \, q^{13} t + 7 \, q^{12} t^{2} + 2 \, q^{11} t^{3} + 9 \, q^{11} t^{2} + 5 \, q^{10} t^{3} - 5 \, q^{10} t^{2} - 9 \, q^{9} t^{3} - 2 \, q^{9} t^{2} - 7 \, q^{8} t^{3} + 3 \, q^{7} t^{4} - 8 \, q^{7} t^{3} - 16 \, q^{6} t^{4} + 6 \, q^{6} t^{3} + 22 \, q^{5} t^{4} + q^{5} t^{3} - 4 \, q^{4} t^{4} + q^{3} t^{4} - q^{2} t^{4} - t^{5}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 4], [0, 5], [1, 2], [1, 3], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{21} + 2 \, q^{18} t + 2 \, q^{17} t - 22 \, q^{16} t - q^{15} t^{2} + 16 \, q^{15} t - 12 \, q^{14} t^{2} - 3 \, q^{14} t + 23 \, q^{13} t^{2} + 8 \, q^{12} t^{2} + 2 \, q^{11} t^{3} - 6 \, q^{11} t^{2} + 6 \, q^{10} t^{3} - 2 \, q^{10} t^{2} - 8 \, q^{9} t^{3} - 23 \, q^{8} t^{3} + 3 \, q^{7} t^{4} + 12 \, q^{7} t^{3} - 16 \, q^{6} t^{4} + q^{6} t^{3} + 22 \, q^{5} t^{4} - 2 \, q^{4} t^{4} - 2 \, q^{3} t^{4} - t^{5}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 4], [0, 5], [0, 6], [1, 2], [1, 3], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{21} + 2 \, q^{18} t - 2 \, q^{17} t - 12 \, q^{16} t - q^{15} t^{2} + 8 \, q^{15} t - 8 \, q^{14} t^{2} - q^{14} t + 17 \, q^{13} t^{2} + 8 \, q^{12} t^{2} + 2 \, q^{11} t^{3} - 4 \, q^{11} t^{2} + 4 \, q^{10} t^{3} - 2 \, q^{10} t^{2} - 8 \, q^{9} t^{3} - 17 \, q^{8} t^{3} + q^{7} t^{4} + 8 \, q^{7} t^{3} - 8 \, q^{6} t^{4} + q^{6} t^{3} + 12 \, q^{5} t^{4} + 2 \, q^{4} t^{4} - 2 \, q^{3} t^{4} - t^{5}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 15 edges: | [[0, 4], [0, 5], [0, 6], [1, 2], [1, 3], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + q^{15} t - 2 \, q^{14} t + 6 \, q^{13} t - 18 \, q^{12} t - 4 \, q^{11} t^{2} + 10 \, q^{11} t + 4 \, q^{10} t^{2} - q^{10} t + 3 \, q^{9} t^{2} + 3 \, q^{8} t^{2} - q^{7} t^{3} + 4 \, q^{7} t^{2} + 10 \, q^{6} t^{3} - 4 \, q^{6} t^{2} - 18 \, q^{5} t^{3} + 6 \, q^{4} t^{3} - 2 \, q^{3} t^{3} + q^{2} t^{3} + t^{4}}{{\left(q^{4} - t\right)}^{2} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 4], [0, 5], [1, 2], [1, 3], [1, 5], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + q^{15} t + 4 \, q^{14} t - 18 \, q^{13} t + 10 \, q^{12} t - 4 \, q^{11} t^{2} - q^{11} t + q^{10} t^{2} + 12 \, q^{9} t^{2} + q^{8} t^{2} - q^{7} t^{3} - 4 \, q^{7} t^{2} + 10 \, q^{6} t^{3} - 18 \, q^{5} t^{3} + 4 \, q^{4} t^{3} + q^{3} t^{3} + t^{4}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 15 edges: | [[0, 4], [0, 5], [0, 6], [1, 2], [1, 3], [1, 5], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{23} + q^{20} t + 2 \, q^{19} t - 13 \, q^{18} t + 4 \, q^{17} t - 2 \, q^{16} t^{2} + q^{16} t - 6 \, q^{15} t^{2} + 14 \, q^{14} t^{2} + 17 \, q^{13} t^{2} - q^{12} t^{3} - 14 \, q^{12} t^{2} + 14 \, q^{11} t^{3} + q^{11} t^{2} - 17 \, q^{10} t^{3} - 14 \, q^{9} t^{3} + 6 \, q^{8} t^{3} - q^{7} t^{4} + 2 \, q^{7} t^{3} - 4 \, q^{6} t^{4} + 13 \, q^{5} t^{4} - 2 \, q^{4} t^{4} - q^{3} t^{4} - t^{5}}{{\left(q^{5} - t\right)} {\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 15 edges: | [[0, 4], [0, 5], [0, 6], [1, 2], [1, 3], [1, 5], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + q^{15} t + 2 \, q^{14} t - 14 \, q^{13} t + 8 \, q^{12} t - 2 \, q^{11} t^{2} - q^{11} t - 3 \, q^{10} t^{2} + 16 \, q^{9} t^{2} - 3 \, q^{8} t^{2} - q^{7} t^{3} - 2 \, q^{7} t^{2} + 8 \, q^{6} t^{3} - 14 \, q^{5} t^{3} + 2 \, q^{4} t^{3} + q^{3} t^{3} + t^{4}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 16 edges: | [[0, 4], [0, 5], [0, 6], [1, 2], [1, 3], [1, 5], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{22} + q^{20} t + 5 \, q^{19} t - 13 \, q^{18} t - 5 \, q^{17} t^{2} - 12 \, q^{17} t - 6 \, q^{16} t^{2} + 18 \, q^{16} t + 3 \, q^{15} t^{2} - q^{14} t^{3} - 5 \, q^{15} t + 60 \, q^{14} t^{2} + 28 \, q^{13} t^{3} - 39 \, q^{13} t^{2} - 29 \, q^{12} t^{3} + q^{11} t^{4} + q^{12} t^{2} - 16 \, q^{11} t^{3} + q^{10} t^{4} + q^{11} t^{2} - 29 \, q^{10} t^{3} - 39 \, q^{9} t^{4} + 28 \, q^{9} t^{3} + 60 \, q^{8} t^{4} - 5 \, q^{7} t^{5} - q^{8} t^{3} + 3 \, q^{7} t^{4} + 18 \, q^{6} t^{5} - 6 \, q^{6} t^{4} - 12 \, q^{5} t^{5} - 5 \, q^{5} t^{4} - 13 \, q^{4} t^{5} + 5 \, q^{3} t^{5} + q^{2} t^{5} + t^{6}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 4], [0, 5], [1, 2], [1, 3], [1, 4], [2, 5], [2, 6], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + q^{15} t + 6 \, q^{14} t - 22 \, q^{13} t + 12 \, q^{12} t - 6 \, q^{11} t^{2} - q^{11} t + 5 \, q^{10} t^{2} + 8 \, q^{9} t^{2} + 5 \, q^{8} t^{2} - q^{7} t^{3} - 6 \, q^{7} t^{2} + 12 \, q^{6} t^{3} - 22 \, q^{5} t^{3} + 6 \, q^{4} t^{3} + q^{3} t^{3} + t^{4}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 4], [0, 5], [0, 6], [1, 2], [1, 3], [1, 4], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{9} t - 2 \, q^{8} t^{2} - q^{7} t^{3} + q^{9} + 2 \, q^{8} t - q^{7} t^{2} + 2 \, q^{6} t^{3} - 4 \, q^{7} t + 2 \, q^{6} t^{2} + 2 \, q^{5} t^{3} - 6 \, q^{6} t + 4 \, q^{5} t^{2} + 4 \, q^{4} t^{2} - 6 \, q^{3} t^{3} + 2 \, q^{4} t + 2 \, q^{3} t^{2} - 4 \, q^{2} t^{3} + 2 \, q^{3} t - q^{2} t^{2} + 2 \, q t^{3} + t^{4} - q^{2} t - 2 \, q t^{2} + t^{3}}{{\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[0, 6], [1, 2], [1, 3], [2, 3], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{11} t + q^{11} - 2 \, q^{9} t^{2} + 6 \, q^{9} t - 3 \, q^{7} t^{3} - 18 \, q^{8} t - 3 \, q^{7} t^{2} + 8 \, q^{6} t^{3} + 6 \, q^{7} t + 8 \, q^{6} t^{2} - 4 \, q^{5} t^{3} - 4 \, q^{6} t + 8 \, q^{5} t^{2} + 6 \, q^{4} t^{3} + 8 \, q^{5} t - 3 \, q^{4} t^{2} - 18 \, q^{3} t^{3} - 3 \, q^{4} t + 6 \, q^{2} t^{3} - 2 \, q^{2} t^{2} + t^{4} + t^{3}}{{\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[0, 5], [0, 6], [1, 2], [1, 3], [2, 3], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + 2 \, q^{13} t - q^{12} t^{2} - q^{12} t - 2 \, q^{11} t^{2} + q^{10} t^{3} - 5 \, q^{11} t - 4 \, q^{10} t^{2} + q^{9} t^{3} - 4 \, q^{10} t + 11 \, q^{9} t^{2} + q^{7} t^{4} + 12 \, q^{8} t^{2} + 4 \, q^{7} t^{3} - 4 \, q^{6} t^{4} + 4 \, q^{8} t - 4 \, q^{7} t^{2} - 12 \, q^{6} t^{3} - q^{7} t - 11 \, q^{5} t^{3} + 4 \, q^{4} t^{4} - q^{5} t^{2} + 4 \, q^{4} t^{3} + 5 \, q^{3} t^{4} - q^{4} t^{2} + 2 \, q^{3} t^{3} + q^{2} t^{4} + q^{2} t^{3} - 2 \, q t^{4} - t^{5}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 5], [0, 6], [1, 2], [1, 3], [2, 3], [3, 4], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + q^{14} t + 2 \, q^{13} t - q^{12} t + q^{11} t^{2} - 9 \, q^{11} t - 5 \, q^{10} t^{2} - 4 \, q^{10} t - 4 \, q^{9} t^{2} + 10 \, q^{9} t + 11 \, q^{8} t^{2} - 3 \, q^{7} t^{3} - 3 \, q^{8} t + 11 \, q^{7} t^{2} + 10 \, q^{6} t^{3} - 4 \, q^{6} t^{2} - 4 \, q^{5} t^{3} - 5 \, q^{5} t^{2} - 9 \, q^{4} t^{3} + q^{4} t^{2} - q^{3} t^{3} + 2 \, q^{2} t^{3} + q t^{3} + t^{4}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 5], [1, 2], [1, 3], [1, 4], [2, 3], [2, 6], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + 3 \, q^{14} t - 3 \, q^{13} t - 3 \, q^{12} t^{2} - 10 \, q^{12} t - 7 \, q^{11} t^{2} + q^{10} t^{3} + 2 \, q^{11} t + 16 \, q^{10} t^{2} + q^{9} t^{3} + 4 \, q^{10} t + 14 \, q^{9} t^{2} + 8 \, q^{8} t^{3} + q^{7} t^{4} - q^{9} t - 8 \, q^{8} t^{2} - 14 \, q^{7} t^{3} - 4 \, q^{6} t^{4} - q^{7} t^{2} - 16 \, q^{6} t^{3} - 2 \, q^{5} t^{4} - q^{6} t^{2} + 7 \, q^{5} t^{3} + 10 \, q^{4} t^{4} + 3 \, q^{4} t^{3} + 3 \, q^{3} t^{4} - 3 \, q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 5], [0, 6], [1, 2], [1, 3], [1, 4], [2, 3], [2, 6], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + q^{16} t + 13 \, q^{15} t - 36 \, q^{14} t - 7 \, q^{13} t^{2} + 14 \, q^{13} t + q^{12} t^{2} + 6 \, q^{12} t - 6 \, q^{11} t^{2} - 9 \, q^{10} t^{3} - 3 \, q^{11} t + 64 \, q^{10} t^{2} + 51 \, q^{9} t^{3} - 51 \, q^{9} t^{2} - 64 \, q^{8} t^{3} + 3 \, q^{7} t^{4} + 9 \, q^{8} t^{2} + 6 \, q^{7} t^{3} - 6 \, q^{6} t^{4} - q^{6} t^{3} - 14 \, q^{5} t^{4} + 7 \, q^{5} t^{3} + 36 \, q^{4} t^{4} - 13 \, q^{3} t^{4} - q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 5], [0, 6], [1, 2], [1, 3], [1, 4], [2, 3], [2, 6], [3, 5], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + q^{16} t + 9 \, q^{15} t - 28 \, q^{14} t - 3 \, q^{13} t^{2} + 12 \, q^{13} t - 13 \, q^{12} t^{2} + 2 \, q^{12} t + 24 \, q^{11} t^{2} - 3 \, q^{10} t^{3} - q^{11} t + 24 \, q^{10} t^{2} + 25 \, q^{9} t^{3} - 25 \, q^{9} t^{2} - 24 \, q^{8} t^{3} + q^{7} t^{4} + 3 \, q^{8} t^{2} - 24 \, q^{7} t^{3} - 2 \, q^{6} t^{4} + 13 \, q^{6} t^{3} - 12 \, q^{5} t^{4} + 3 \, q^{5} t^{3} + 28 \, q^{4} t^{4} - 9 \, q^{3} t^{4} - q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 5], [0, 6], [1, 2], [1, 3], [1, 4], [2, 3], [2, 6], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{19} + 5 \, q^{17} t - 8 \, q^{16} t - 3 \, q^{15} t^{2} - 8 \, q^{15} t - 16 \, q^{14} t^{2} + q^{13} t^{3} + 2 \, q^{14} t + 27 \, q^{13} t^{2} + 6 \, q^{12} t^{3} + 4 \, q^{13} t + 30 \, q^{12} t^{2} + 15 \, q^{11} t^{3} - 2 \, q^{10} t^{4} - q^{12} t - 24 \, q^{11} t^{2} - 32 \, q^{10} t^{3} + 3 \, q^{9} t^{4} + 3 \, q^{10} t^{2} - 32 \, q^{9} t^{3} - 24 \, q^{8} t^{4} - q^{7} t^{5} - 2 \, q^{9} t^{2} + 15 \, q^{8} t^{3} + 30 \, q^{7} t^{4} + 4 \, q^{6} t^{5} + 6 \, q^{7} t^{3} + 27 \, q^{6} t^{4} + 2 \, q^{5} t^{5} + q^{6} t^{3} - 16 \, q^{5} t^{4} - 8 \, q^{4} t^{5} - 3 \, q^{4} t^{4} - 8 \, q^{3} t^{5} + 5 \, q^{2} t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 5], [0, 6], [1, 2], [1, 3], [1, 4], [2, 3], [2, 4], [3, 6], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{19} + q^{18} t - 2 \, q^{17} t + q^{16} t - q^{15} t^{2} - 2 \, q^{14} t^{2} - 12 \, q^{14} t + 4 \, q^{13} t^{2} + 8 \, q^{13} t + 2 \, q^{11} t^{3} - q^{12} t + 10 \, q^{11} t^{2} + q^{10} t^{3} + 2 \, q^{10} t^{2} - 2 \, q^{9} t^{3} - q^{9} t^{2} - 10 \, q^{8} t^{3} + q^{7} t^{4} - 2 \, q^{8} t^{2} - 8 \, q^{6} t^{4} - 4 \, q^{6} t^{3} + 12 \, q^{5} t^{4} + 2 \, q^{5} t^{3} + q^{4} t^{3} - q^{3} t^{4} + 2 \, q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 5], [1, 2], [1, 3], [1, 4], [1, 6], [2, 3], [2, 4], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{19} + 2 \, q^{17} t - 2 \, q^{16} t - q^{15} t^{2} - 2 \, q^{15} t - 10 \, q^{14} t - 8 \, q^{13} t^{2} + 8 \, q^{13} t + 16 \, q^{12} t^{2} + 2 \, q^{11} t^{3} - q^{12} t + 5 \, q^{11} t^{2} + 2 \, q^{10} t^{3} + 2 \, q^{10} t^{2} - 2 \, q^{9} t^{3} - 2 \, q^{9} t^{2} - 5 \, q^{8} t^{3} + q^{7} t^{4} - 2 \, q^{8} t^{2} - 16 \, q^{7} t^{3} - 8 \, q^{6} t^{4} + 8 \, q^{6} t^{3} + 10 \, q^{5} t^{4} + 2 \, q^{4} t^{4} + q^{4} t^{3} + 2 \, q^{3} t^{4} - 2 \, q^{2} t^{4} - t^{5}}{{\left(q^{4} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 5], [0, 6], [1, 2], [1, 3], [1, 4], [2, 3], [2, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + q^{18} t + q^{17} t - 4 \, q^{16} t - q^{15} t^{2} - 10 \, q^{15} t - 2 \, q^{14} t^{2} + 8 \, q^{14} t - 8 \, q^{13} t^{2} - q^{13} t + 31 \, q^{12} t^{2} + 2 \, q^{11} t^{3} - 7 \, q^{11} t^{2} + q^{10} t^{3} - q^{10} t^{2} + 7 \, q^{9} t^{3} - 2 \, q^{9} t^{2} - 31 \, q^{8} t^{3} + q^{7} t^{4} + 8 \, q^{7} t^{3} - 8 \, q^{6} t^{4} + 2 \, q^{6} t^{3} + 10 \, q^{5} t^{4} + q^{5} t^{3} + 4 \, q^{4} t^{4} - q^{3} t^{4} - q^{2} t^{4} - t^{5}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 5], [0, 6], [1, 2], [1, 3], [1, 4], [2, 3], [2, 4], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + q^{15} t - 12 \, q^{12} t - 2 \, q^{11} t^{2} + 8 \, q^{11} t - 2 \, q^{10} t^{2} - q^{10} t + 7 \, q^{9} t^{2} + 7 \, q^{8} t^{2} - q^{7} t^{3} - 2 \, q^{7} t^{2} + 8 \, q^{6} t^{3} - 2 \, q^{6} t^{2} - 12 \, q^{5} t^{3} + q^{2} t^{3} + t^{4}}{{\left(q^{4} - t\right)}^{2} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 5], [0, 6], [1, 2], [1, 3], [1, 4], [1, 6], [2, 3], [2, 4], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + q^{15} t - 2 \, q^{14} t + 10 \, q^{13} t - 28 \, q^{12} t - 6 \, q^{11} t^{2} + 18 \, q^{11} t + 8 \, q^{10} t^{2} - 3 \, q^{10} t + q^{9} t^{2} + q^{8} t^{2} - 3 \, q^{7} t^{3} + 8 \, q^{7} t^{2} + 18 \, q^{6} t^{3} - 6 \, q^{6} t^{2} - 28 \, q^{5} t^{3} + 10 \, q^{4} t^{3} - 2 \, q^{3} t^{3} + q^{2} t^{3} + t^{4}}{{\left(q^{4} - t\right)}^{2} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 5], [0, 6], [1, 2], [1, 3], [1, 4], [1, 6], [2, 3], [2, 4], [2, 5], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + q^{15} t - 2 \, q^{14} t + 6 \, q^{13} t - 18 \, q^{12} t - 2 \, q^{11} t^{2} + 10 \, q^{11} t - 2 \, q^{10} t^{2} - q^{10} t + 7 \, q^{9} t^{2} + 7 \, q^{8} t^{2} - q^{7} t^{3} - 2 \, q^{7} t^{2} + 10 \, q^{6} t^{3} - 2 \, q^{6} t^{2} - 18 \, q^{5} t^{3} + 6 \, q^{4} t^{3} - 2 \, q^{3} t^{3} + q^{2} t^{3} + t^{4}}{{\left(q^{4} - t\right)}^{2} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 5], [0, 6], [1, 2], [1, 3], [1, 4], [1, 6], [2, 3], [2, 4], [2, 5], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{7} t + q^{7} - 2 \, q^{6} t - 2 \, q t + t^{2} + t}{q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 15 edges: | [[1, 2], [1, 3], [1, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{12} + q^{11} t - 2 \, q^{10} t + q^{8} t - q^{7} t^{2} - 4 \, q^{7} t + 4 \, q^{5} t^{2} + q^{5} t - q^{4} t^{2} + 2 \, q^{2} t^{2} - q t^{2} - t^{3}}{{\left(q^{4} - t\right)} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 15 edges: | [[0, 6], [1, 2], [1, 3], [1, 4], [1, 5], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{8} + q^{7} t - 2 \, q^{6} t - 2 \, q^{2} t + q t + t^{2}}{{\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 16 edges: | [[0, 6], [1, 2], [1, 3], [1, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{9} + q^{7} t + 2 \, q^{6} t - 4 \, q^{5} t - 4 \, q^{4} t + 2 \, q^{3} t + q^{2} t + t^{2}}{{\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 5], [0, 6], [1, 2], [1, 3], [1, 4], [1, 6], [2, 3], [2, 4], [2, 6], [3, 4], [3, 5], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{9} + q^{7} t - 2 \, q^{5} t - 2 \, q^{4} t + q^{2} t + t^{2}}{{\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 15 edges: | [[0, 5], [0, 6], [1, 2], [1, 3], [1, 4], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{13} + q^{11} t - 2 \, q^{10} t + 3 \, q^{9} t - 8 \, q^{8} t - q^{7} t^{2} + 2 \, q^{7} t - 2 \, q^{6} t^{2} + q^{6} t + 8 \, q^{5} t^{2} - 3 \, q^{4} t^{2} + 2 \, q^{3} t^{2} - q^{2} t^{2} - t^{3}}{{\left(q^{4} - t\right)} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 15 edges: | [[0, 5], [0, 6], [1, 2], [1, 3], [1, 4], [1, 6], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{13} + q^{11} t - 2 \, q^{10} t + q^{9} t - 4 \, q^{8} t - q^{7} t^{2} + q^{6} t + 4 \, q^{5} t^{2} - q^{4} t^{2} + 2 \, q^{3} t^{2} - q^{2} t^{2} - t^{3}}{{\left(q^{4} - t\right)} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 16 edges: | [[0, 5], [0, 6], [1, 2], [1, 3], [1, 4], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + q^{12} t - 2 \, q^{11} t + q^{9} t - 6 \, q^{8} t - 3 \, q^{7} t^{2} + 3 \, q^{7} t + 6 \, q^{6} t^{2} - q^{5} t^{2} + 2 \, q^{3} t^{2} - q^{2} t^{2} - t^{3}}{{\left(q^{5} - t\right)} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 16 edges: | [[0, 5], [0, 6], [1, 2], [1, 3], [1, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{9} + q^{7} t - 2 \, q^{6} t - 2 \, q^{3} t + q^{2} t + t^{2}}{{\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 17 edges: | [[0, 5], [0, 6], [1, 2], [1, 3], [1, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + q^{15} t + 2 \, q^{14} t - 2 \, q^{13} t^{2} - 8 \, q^{13} t - q^{12} t^{2} + q^{11} t^{3} + q^{12} t - 3 \, q^{11} t^{2} - 6 \, q^{11} t + 16 \, q^{10} t^{2} + 2 \, q^{9} t^{3} + 6 \, q^{10} t + 2 \, q^{9} t^{2} - q^{8} t^{3} + q^{7} t^{4} - q^{9} t + q^{8} t^{2} - 2 \, q^{7} t^{3} - 6 \, q^{6} t^{4} - 2 \, q^{7} t^{2} - 16 \, q^{6} t^{3} + 6 \, q^{5} t^{4} + 3 \, q^{5} t^{3} - q^{4} t^{4} - q^{5} t^{2} + q^{4} t^{3} + 8 \, q^{3} t^{4} + 2 \, q^{3} t^{3} - 2 \, q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{4} - t\right)} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 4], [0, 5], [1, 2], [1, 3], [2, 3], [2, 6], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{10} + q^{9} t + q^{8} t - q^{7} t^{2} - 4 \, q^{7} t - 2 \, q^{6} t + 2 \, q^{4} t^{2} + 4 \, q^{3} t^{2} + q^{3} t - q^{2} t^{2} - q t^{2} - t^{3}}{{\left(q^{2} - t\right)} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 4], [0, 5], [1, 2], [1, 3], [1, 6], [2, 3], [2, 6], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{8} + q^{7} t - 4 \, q^{4} t + q t + t^{2}}{{\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 4], [0, 5], [0, 6], [1, 2], [1, 3], [1, 6], [2, 3], [2, 6], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + 3 \, q^{18} t - 5 \, q^{17} t - 3 \, q^{16} t^{2} - 5 \, q^{16} t - 5 \, q^{15} t^{2} + q^{14} t^{3} - 4 \, q^{15} t + 5 \, q^{14} t^{2} + 3 \, q^{13} t^{3} + 6 \, q^{14} t + 31 \, q^{13} t^{2} + 9 \, q^{12} t^{3} - q^{11} t^{4} - q^{13} t - 10 \, q^{12} t^{2} - 17 \, q^{11} t^{3} - q^{10} t^{4} - q^{11} t^{2} - 12 \, q^{10} t^{3} - q^{9} t^{4} - q^{10} t^{2} - 17 \, q^{9} t^{3} - 10 \, q^{8} t^{4} - q^{7} t^{5} - q^{9} t^{2} + 9 \, q^{8} t^{3} + 31 \, q^{7} t^{4} + 6 \, q^{6} t^{5} + 3 \, q^{7} t^{3} + 5 \, q^{6} t^{4} - 4 \, q^{5} t^{5} + q^{6} t^{3} - 5 \, q^{5} t^{4} - 5 \, q^{4} t^{5} - 3 \, q^{4} t^{4} - 5 \, q^{3} t^{5} + 3 \, q^{2} t^{5} + t^{6}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 4], [0, 5], [1, 2], [1, 3], [1, 6], [2, 3], [2, 6], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{12} + q^{10} t + 3 \, q^{9} t - 10 \, q^{8} t - q^{7} t^{2} + 2 \, q^{7} t - 2 \, q^{5} t^{2} + q^{5} t + 10 \, q^{4} t^{2} - 3 \, q^{3} t^{2} - q^{2} t^{2} - t^{3}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 4], [0, 5], [1, 2], [1, 3], [1, 6], [2, 3], [2, 5], [2, 6], [3, 4], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + 5 \, q^{13} t - 12 \, q^{12} t + 2 \, q^{11} t - 3 \, q^{10} t^{2} - 4 \, q^{9} t^{2} + q^{9} t + 20 \, q^{8} t^{2} + q^{7} t^{3} - 4 \, q^{7} t^{2} - 3 \, q^{6} t^{2} + 2 \, q^{5} t^{3} - 12 \, q^{4} t^{3} + 5 \, q^{3} t^{3} + t^{4}}{{\left(q^{3} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 4], [0, 5], [0, 6], [1, 2], [1, 3], [1, 6], [2, 3], [2, 5], [2, 6], [3, 4], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{13} + 2 \, q^{10} t - 4 \, q^{9} t - 2 \, q^{8} t - q^{7} t^{2} + q^{6} t + 2 \, q^{5} t^{2} + 4 \, q^{4} t^{2} - 2 \, q^{3} t^{2} - t^{3}}{{\left(q^{3} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 16 edges: | [[0, 4], [0, 5], [0, 6], [1, 2], [1, 3], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{21} + 2 \, q^{18} t - 2 \, q^{17} t - 10 \, q^{16} t - q^{15} t^{2} + 4 \, q^{15} t - 10 \, q^{14} t^{2} + q^{14} t + 19 \, q^{13} t^{2} + 8 \, q^{12} t^{2} + 4 \, q^{11} t^{3} - 2 \, q^{11} t^{2} + 2 \, q^{10} t^{3} - 4 \, q^{10} t^{2} - 8 \, q^{9} t^{3} - 19 \, q^{8} t^{3} - q^{7} t^{4} + 10 \, q^{7} t^{3} - 4 \, q^{6} t^{4} + q^{6} t^{3} + 10 \, q^{5} t^{4} + 2 \, q^{4} t^{4} - 2 \, q^{3} t^{4} - t^{5}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 4], [0, 5], [0, 6], [1, 2], [1, 3], [1, 5], [1, 6], [2, 3], [2, 4], [2, 6], [3, 4], [3, 6], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{10} + q^{7} t + 4 \, q^{6} t - 12 \, q^{5} t + 4 \, q^{4} t + q^{3} t + t^{2}}{{\left(q^{3} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 15 edges: | [[0, 4], [0, 5], [0, 6], [1, 2], [1, 3], [1, 5], [1, 6], [2, 3], [2, 4], [2, 6], [3, 4], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{10} + q^{7} t + 2 \, q^{6} t - 8 \, q^{5} t + 2 \, q^{4} t + q^{3} t + t^{2}}{{\left(q^{3} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 16 edges: | [[0, 4], [0, 5], [0, 6], [1, 2], [1, 3], [1, 5], [1, 6], [2, 3], [2, 4], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + q^{12} t - 3 \, q^{10} t - 4 \, q^{9} t + 3 \, q^{8} t - 3 \, q^{7} t^{2} + 4 \, q^{6} t^{2} + 3 \, q^{5} t^{2} - q^{3} t^{2} - t^{3}}{{\left(q^{5} - t\right)} {\left(q^{3} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 16 edges: | [[0, 4], [0, 5], [0, 6], [1, 2], [1, 3], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{10} + q^{7} t - 4 \, q^{5} t + q^{3} t + t^{2}}{{\left(q^{3} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 17 edges: | [[0, 4], [0, 5], [0, 6], [1, 2], [1, 3], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{13} + q^{11} t - q^{9} t - 6 \, q^{8} t - q^{7} t^{2} + 2 \, q^{7} t - 2 \, q^{6} t^{2} + q^{6} t + 6 \, q^{5} t^{2} + q^{4} t^{2} - q^{2} t^{2} - t^{3}}{{\left(q^{4} - t\right)} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 4], [0, 5], [1, 2], [1, 3], [1, 4], [1, 6], [2, 3], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{13} + 2 \, q^{10} t - 2 \, q^{9} t - 6 \, q^{8} t - q^{7} t^{2} + 2 \, q^{7} t - 2 \, q^{6} t^{2} + q^{6} t + 6 \, q^{5} t^{2} + 2 \, q^{4} t^{2} - 2 \, q^{3} t^{2} - t^{3}}{{\left(q^{3} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 15 edges: | [[0, 4], [0, 5], [0, 6], [1, 2], [1, 3], [1, 4], [1, 6], [2, 3], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + q^{15} t + 6 \, q^{14} t - 22 \, q^{13} t + 12 \, q^{12} t - 6 \, q^{11} t^{2} - q^{11} t + 5 \, q^{10} t^{2} + 8 \, q^{9} t^{2} + 5 \, q^{8} t^{2} - q^{7} t^{3} - 6 \, q^{7} t^{2} + 12 \, q^{6} t^{3} - 22 \, q^{5} t^{3} + 6 \, q^{4} t^{3} + q^{3} t^{3} + t^{4}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 4], [0, 5], [0, 6], [1, 2], [1, 3], [1, 4], [1, 5], [2, 3], [2, 5], [2, 6], [3, 4], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + q^{12} t - 2 \, q^{11} t + q^{10} t - 6 \, q^{9} t + 3 \, q^{8} t - 3 \, q^{7} t^{2} + 6 \, q^{6} t^{2} - q^{5} t^{2} + 2 \, q^{4} t^{2} - q^{3} t^{2} - t^{3}}{{\left(q^{5} - t\right)} {\left(q^{3} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 17 edges: | [[0, 4], [0, 5], [0, 6], [1, 2], [1, 3], [1, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{10} + q^{7} t - 2 \, q^{6} t - 2 \, q^{4} t + q^{3} t + t^{2}}{{\left(q^{3} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 18 edges: | [[0, 4], [0, 5], [0, 6], [1, 2], [1, 3], [1, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{10} t^{2} - 3 \, q^{9} t^{3} + 5 \, q^{8} t^{4} + q^{7} t^{5} + 4 \, q^{10} t - 8 \, q^{9} t^{2} - 8 \, q^{8} t^{3} - 4 \, q^{6} t^{5} + q^{10} + 5 \, q^{9} t - 15 \, q^{8} t^{2} + 53 \, q^{7} t^{3} - 26 \, q^{6} t^{4} - 2 \, q^{5} t^{5} - 24 \, q^{8} t + 22 \, q^{7} t^{2} + 6 \, q^{6} t^{3} - 6 \, q^{5} t^{4} + 18 \, q^{4} t^{5} - 4 \, q^{7} t + 42 \, q^{6} t^{2} - 116 \, q^{5} t^{3} + 42 \, q^{4} t^{4} - 4 \, q^{3} t^{5} + 18 \, q^{6} t - 6 \, q^{5} t^{2} + 6 \, q^{4} t^{3} + 22 \, q^{3} t^{4} - 24 \, q^{2} t^{5} - 2 \, q^{5} t - 26 \, q^{4} t^{2} + 53 \, q^{3} t^{3} - 15 \, q^{2} t^{4} + 5 \, q t^{5} + t^{6} - 4 \, q^{4} t - 8 \, q^{2} t^{3} - 8 \, q t^{4} + 4 \, t^{5} + q^{3} t + 5 \, q^{2} t^{2} - 3 \, q t^{3} + t^{4}}{{\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{4}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 4 edges: | [[0, 3], [1, 2], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{7} t^{2} + 4 \, q^{7} t + q^{7} - 4 \, q^{5} t^{2} - 8 \, q^{5} t - 2 \, q^{4} t^{2} - 4 \, q^{4} t + 4 \, q^{3} t^{2} + 2 \, q^{3} t + 8 \, q^{2} t^{2} + 4 \, q^{2} t - t^{3} - 4 \, t^{2} - t}{q^{7} {\left(t - 1\right)}^{4}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 5 edges: | [[0, 3], [1, 2], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{24} + 10 \, q^{22} t - 11 \, q^{21} t + 2 \, q^{20} t^{2} - 36 \, q^{20} t - 92 \, q^{19} t^{2} - 6 \, q^{18} t^{3} + 42 \, q^{19} t + 177 \, q^{18} t^{2} + 18 \, q^{17} t^{3} + q^{16} t^{4} - 14 \, q^{18} t - 20 \, q^{17} t^{2} + 188 \, q^{16} t^{3} + 28 \, q^{15} t^{4} + q^{17} t - 40 \, q^{16} t^{2} - 375 \, q^{15} t^{3} - 82 \, q^{14} t^{4} - 7 \, q^{13} t^{5} - 8 \, q^{15} t^{2} - 14 \, q^{14} t^{3} - 260 \, q^{13} t^{4} - 32 \, q^{12} t^{5} + 9 \, q^{14} t^{2} + 172 \, q^{13} t^{3} + 696 \, q^{12} t^{4} + 172 \, q^{11} t^{5} + 9 \, q^{10} t^{6} - 32 \, q^{12} t^{3} - 260 \, q^{11} t^{4} - 14 \, q^{10} t^{5} - 8 \, q^{9} t^{6} - 7 \, q^{11} t^{3} - 82 \, q^{10} t^{4} - 375 \, q^{9} t^{5} - 40 \, q^{8} t^{6} + q^{7} t^{7} + 28 \, q^{9} t^{4} + 188 \, q^{8} t^{5} - 20 \, q^{7} t^{6} - 14 \, q^{6} t^{7} + q^{8} t^{4} + 18 \, q^{7} t^{5} + 177 \, q^{6} t^{6} + 42 \, q^{5} t^{7} - 6 \, q^{6} t^{5} - 92 \, q^{5} t^{6} - 36 \, q^{4} t^{7} + 2 \, q^{4} t^{6} - 11 \, q^{3} t^{7} + 10 \, q^{2} t^{7} + t^{8}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 3], [0, 6], [1, 2], [1, 6], [2, 5], [3, 5], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + 10 \, q^{13} t - 16 \, q^{12} t + 2 \, q^{11} t^{2} - 12 \, q^{11} t - 46 \, q^{10} t^{2} - 6 \, q^{9} t^{3} + 16 \, q^{10} t + 88 \, q^{9} t^{2} + 20 \, q^{8} t^{3} + q^{7} t^{4} - 2 \, q^{9} t - 20 \, q^{8} t^{2} + 20 \, q^{7} t^{3} + 2 \, q^{6} t^{4} - q^{8} t - 20 \, q^{7} t^{2} - 88 \, q^{6} t^{3} - 16 \, q^{5} t^{4} + 6 \, q^{6} t^{2} + 46 \, q^{5} t^{3} + 12 \, q^{4} t^{4} - 2 \, q^{4} t^{3} + 16 \, q^{3} t^{4} - 10 \, q^{2} t^{4} - t^{5}}{{\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 3], [0, 6], [1, 2], [1, 6], [2, 5], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{25} + 8 \, q^{23} t - 14 \, q^{22} t - 4 \, q^{21} t^{2} - 11 \, q^{21} t - 40 \, q^{20} t^{2} + 4 \, q^{19} t^{3} + 6 \, q^{20} t + 79 \, q^{19} t^{2} - 10 \, q^{18} t^{3} - q^{17} t^{4} + 6 \, q^{19} t + 18 \, q^{18} t^{2} + 132 \, q^{17} t^{3} + 12 \, q^{16} t^{4} - 3 \, q^{18} t - 6 \, q^{17} t^{2} - 202 \, q^{16} t^{3} - 48 \, q^{15} t^{4} - 4 \, q^{14} t^{5} - 28 \, q^{16} t^{2} - 57 \, q^{15} t^{3} - 58 \, q^{14} t^{4} + 7 \, q^{13} t^{5} + 8 \, q^{15} t^{2} + 70 \, q^{14} t^{3} + 130 \, q^{13} t^{4} + 4 \, q^{12} t^{5} + q^{11} t^{6} + q^{14} t^{2} + 4 \, q^{13} t^{3} + 130 \, q^{12} t^{4} + 70 \, q^{11} t^{5} + 8 \, q^{10} t^{6} + 7 \, q^{12} t^{3} - 58 \, q^{11} t^{4} - 57 \, q^{10} t^{5} - 28 \, q^{9} t^{6} - 4 \, q^{11} t^{3} - 48 \, q^{10} t^{4} - 202 \, q^{9} t^{5} - 6 \, q^{8} t^{6} - 3 \, q^{7} t^{7} + 12 \, q^{9} t^{4} + 132 \, q^{8} t^{5} + 18 \, q^{7} t^{6} + 6 \, q^{6} t^{7} - q^{8} t^{4} - 10 \, q^{7} t^{5} + 79 \, q^{6} t^{6} + 6 \, q^{5} t^{7} + 4 \, q^{6} t^{5} - 40 \, q^{5} t^{6} - 11 \, q^{4} t^{7} - 4 \, q^{4} t^{6} - 14 \, q^{3} t^{7} + 8 \, q^{2} t^{7} + t^{8}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 3], [0, 6], [1, 2], [1, 6], [2, 4], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{19} + 2 \, q^{18} t - q^{17} t^{2} - 4 \, q^{16} t^{2} + 2 \, q^{15} t^{3} - 2 \, q^{16} t - 13 \, q^{15} t^{2} + 4 \, q^{14} t^{3} - q^{13} t^{4} - 26 \, q^{15} t + 24 \, q^{14} t^{2} - 6 \, q^{13} t^{3} + 10 \, q^{12} t^{4} + 24 \, q^{14} t + 37 \, q^{13} t^{2} + 64 \, q^{12} t^{3} - 35 \, q^{11} t^{4} - 8 \, q^{10} t^{5} - 4 \, q^{13} t - 22 \, q^{12} t^{2} - 132 \, q^{11} t^{3} + 10 \, q^{10} t^{4} + 24 \, q^{9} t^{5} - q^{12} t + 16 \, q^{11} t^{2} + 17 \, q^{10} t^{3} - 17 \, q^{9} t^{4} - 16 \, q^{8} t^{5} + q^{7} t^{6} - 24 \, q^{10} t^{2} - 10 \, q^{9} t^{3} + 132 \, q^{8} t^{4} + 22 \, q^{7} t^{5} + 4 \, q^{6} t^{6} + 8 \, q^{9} t^{2} + 35 \, q^{8} t^{3} - 64 \, q^{7} t^{4} - 37 \, q^{6} t^{5} - 24 \, q^{5} t^{6} - 10 \, q^{7} t^{3} + 6 \, q^{6} t^{4} - 24 \, q^{5} t^{5} + 26 \, q^{4} t^{6} + q^{6} t^{3} - 4 \, q^{5} t^{4} + 13 \, q^{4} t^{5} + 2 \, q^{3} t^{6} - 2 \, q^{4} t^{4} + 4 \, q^{3} t^{5} + q^{2} t^{5} - 2 \, q t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 3], [1, 2], [1, 5], [2, 4], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{24} + 2 \, q^{22} t + q^{21} t - q^{20} t^{2} - 15 \, q^{20} t - 10 \, q^{19} t^{2} - 2 \, q^{19} t + q^{18} t^{2} + q^{17} t^{3} + 10 \, q^{18} t + 33 \, q^{17} t^{2} + 17 \, q^{16} t^{3} - 3 \, q^{17} t + 24 \, q^{16} t^{2} + 11 \, q^{15} t^{3} + 3 \, q^{14} t^{4} - 28 \, q^{15} t^{2} - 71 \, q^{14} t^{3} - 25 \, q^{13} t^{4} + q^{14} t^{2} - 5 \, q^{13} t^{3} + 10 \, q^{12} t^{4} - q^{11} t^{5} + q^{13} t^{2} - 10 \, q^{12} t^{3} + 5 \, q^{11} t^{4} - q^{10} t^{5} + 25 \, q^{11} t^{3} + 71 \, q^{10} t^{4} + 28 \, q^{9} t^{5} - 3 \, q^{10} t^{3} - 11 \, q^{9} t^{4} - 24 \, q^{8} t^{5} + 3 \, q^{7} t^{6} - 17 \, q^{8} t^{4} - 33 \, q^{7} t^{5} - 10 \, q^{6} t^{6} - q^{7} t^{4} - q^{6} t^{5} + 2 \, q^{5} t^{6} + 10 \, q^{5} t^{5} + 15 \, q^{4} t^{6} + q^{4} t^{5} - q^{3} t^{6} - 2 \, q^{2} t^{6} - t^{7}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 3], [0, 6], [1, 2], [1, 6], [2, 4], [2, 5], [3, 4], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{22} + q^{20} t + 3 \, q^{19} t - 11 \, q^{18} t - 5 \, q^{17} t^{2} - 8 \, q^{17} t + 12 \, q^{16} t - 7 \, q^{15} t^{2} + q^{14} t^{3} - 3 \, q^{15} t + 64 \, q^{14} t^{2} + 16 \, q^{13} t^{3} - 43 \, q^{13} t^{2} - 11 \, q^{12} t^{3} - q^{11} t^{4} + 7 \, q^{12} t^{2} - 32 \, q^{11} t^{3} + 7 \, q^{10} t^{4} - q^{11} t^{2} - 11 \, q^{10} t^{3} - 43 \, q^{9} t^{4} + 16 \, q^{9} t^{3} + 64 \, q^{8} t^{4} - 3 \, q^{7} t^{5} + q^{8} t^{3} - 7 \, q^{7} t^{4} + 12 \, q^{6} t^{5} - 8 \, q^{5} t^{5} - 5 \, q^{5} t^{4} - 11 \, q^{4} t^{5} + 3 \, q^{3} t^{5} + q^{2} t^{5} + t^{6}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 3], [0, 6], [1, 2], [1, 5], [1, 6], [2, 4], [2, 6], [3, 4], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{19} + 4 \, q^{17} t - 10 \, q^{16} t - 6 \, q^{15} t^{2} + q^{15} t + 4 \, q^{13} t^{3} - 6 \, q^{14} t + 12 \, q^{13} t^{2} - q^{11} t^{4} + 6 \, q^{13} t + 22 \, q^{12} t^{2} + 6 \, q^{11} t^{3} - q^{12} t - 12 \, q^{11} t^{2} - 20 \, q^{10} t^{3} - 20 \, q^{9} t^{3} - 12 \, q^{8} t^{4} - q^{7} t^{5} + 6 \, q^{8} t^{3} + 22 \, q^{7} t^{4} + 6 \, q^{6} t^{5} - q^{8} t^{2} + 12 \, q^{6} t^{4} - 6 \, q^{5} t^{5} + 4 \, q^{6} t^{3} + q^{4} t^{5} - 6 \, q^{4} t^{4} - 10 \, q^{3} t^{5} + 4 \, q^{2} t^{5} + t^{6}}{{\left(q^{4} - t\right)} {\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 3], [0, 6], [1, 2], [1, 5], [2, 4], [2, 5], [3, 4], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{24} + 2 \, q^{22} t - q^{21} t - q^{20} t^{2} - 7 \, q^{20} t - 10 \, q^{19} t^{2} - 14 \, q^{19} t + 5 \, q^{18} t^{2} + 3 \, q^{17} t^{3} + 18 \, q^{18} t + 15 \, q^{17} t^{2} + 9 \, q^{16} t^{3} - 5 \, q^{17} t + 56 \, q^{16} t^{2} + 21 \, q^{15} t^{3} - q^{14} t^{4} - 56 \, q^{15} t^{2} - 67 \, q^{14} t^{3} - 7 \, q^{13} t^{4} + 13 \, q^{14} t^{2} - 31 \, q^{13} t^{3} - 22 \, q^{12} t^{4} + q^{11} t^{5} - q^{13} t^{2} + 22 \, q^{12} t^{3} + 31 \, q^{11} t^{4} - 13 \, q^{10} t^{5} + 7 \, q^{11} t^{3} + 67 \, q^{10} t^{4} + 56 \, q^{9} t^{5} + q^{10} t^{3} - 21 \, q^{9} t^{4} - 56 \, q^{8} t^{5} + 5 \, q^{7} t^{6} - 9 \, q^{8} t^{4} - 15 \, q^{7} t^{5} - 18 \, q^{6} t^{6} - 3 \, q^{7} t^{4} - 5 \, q^{6} t^{5} + 14 \, q^{5} t^{6} + 10 \, q^{5} t^{5} + 7 \, q^{4} t^{6} + q^{4} t^{5} + q^{3} t^{6} - 2 \, q^{2} t^{6} - t^{7}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 3], [0, 5], [1, 2], [1, 6], [2, 4], [2, 5], [3, 4], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{22} + q^{20} t + 3 \, q^{19} t - 11 \, q^{18} t - 5 \, q^{17} t^{2} - 8 \, q^{17} t - 2 \, q^{16} t^{2} + 12 \, q^{16} t + q^{15} t^{2} + q^{14} t^{3} - 3 \, q^{15} t + 52 \, q^{14} t^{2} + 20 \, q^{13} t^{3} - 35 \, q^{13} t^{2} - 27 \, q^{12} t^{3} - q^{11} t^{4} + 5 \, q^{12} t^{2} - 8 \, q^{11} t^{3} + 5 \, q^{10} t^{4} - q^{11} t^{2} - 27 \, q^{10} t^{3} - 35 \, q^{9} t^{4} + 20 \, q^{9} t^{3} + 52 \, q^{8} t^{4} - 3 \, q^{7} t^{5} + q^{8} t^{3} + q^{7} t^{4} + 12 \, q^{6} t^{5} - 2 \, q^{6} t^{4} - 8 \, q^{5} t^{5} - 5 \, q^{5} t^{4} - 11 \, q^{4} t^{5} + 3 \, q^{3} t^{5} + q^{2} t^{5} + t^{6}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 3], [0, 5], [1, 2], [1, 5], [1, 6], [2, 4], [2, 6], [3, 4], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + 7 \, q^{17} t - 13 \, q^{16} t - 8 \, q^{15} t - q^{14} t^{2} + 12 \, q^{14} t - 27 \, q^{13} t^{2} - 3 \, q^{13} t + 68 \, q^{12} t^{2} + q^{11} t^{3} - 32 \, q^{11} t^{2} - 3 \, q^{10} t^{3} + 3 \, q^{10} t^{2} + 32 \, q^{9} t^{3} - q^{9} t^{2} - 68 \, q^{8} t^{3} + 3 \, q^{7} t^{4} + 27 \, q^{7} t^{3} - 12 \, q^{6} t^{4} + q^{6} t^{3} + 8 \, q^{5} t^{4} + 13 \, q^{4} t^{4} - 7 \, q^{3} t^{4} - t^{5}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 3], [0, 5], [0, 6], [1, 2], [1, 5], [1, 6], [2, 4], [2, 6], [3, 4], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + 7 \, q^{17} t - 15 \, q^{16} t - 2 \, q^{15} t - q^{14} t^{2} + 6 \, q^{14} t - 25 \, q^{13} t^{2} - q^{13} t + 62 \, q^{12} t^{2} + q^{11} t^{3} - 26 \, q^{11} t^{2} - q^{10} t^{3} + q^{10} t^{2} + 26 \, q^{9} t^{3} - q^{9} t^{2} - 62 \, q^{8} t^{3} + q^{7} t^{4} + 25 \, q^{7} t^{3} - 6 \, q^{6} t^{4} + q^{6} t^{3} + 2 \, q^{5} t^{4} + 15 \, q^{4} t^{4} - 7 \, q^{3} t^{4} - t^{5}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 3], [0, 5], [0, 6], [1, 2], [1, 5], [1, 6], [2, 4], [2, 5], [3, 4], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + q^{14} t + q^{12} t - q^{11} t^{2} - 5 \, q^{11} t - q^{10} t^{2} - 10 \, q^{10} t - 2 \, q^{9} t^{2} + 12 \, q^{9} t + 7 \, q^{8} t^{2} - 3 \, q^{7} t^{3} - 3 \, q^{8} t + 7 \, q^{7} t^{2} + 12 \, q^{6} t^{3} - 2 \, q^{6} t^{2} - 10 \, q^{5} t^{3} - q^{5} t^{2} - 5 \, q^{4} t^{3} - q^{4} t^{2} + q^{3} t^{3} + q t^{3} + t^{4}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 3], [1, 2], [1, 4], [1, 6], [2, 4], [2, 5], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + 2 \, q^{16} t - q^{15} t - q^{14} t^{2} - 7 \, q^{14} t - 2 \, q^{13} t^{2} - 4 \, q^{13} t - 6 \, q^{12} t^{2} + q^{11} t^{3} + 6 \, q^{12} t + 23 \, q^{11} t^{2} + q^{10} t^{3} - q^{11} t + 2 \, q^{9} t^{3} - 2 \, q^{9} t^{2} + q^{7} t^{4} - q^{8} t^{2} - 23 \, q^{7} t^{3} - 6 \, q^{6} t^{4} - q^{7} t^{2} + 6 \, q^{6} t^{3} + 4 \, q^{5} t^{4} + 2 \, q^{5} t^{3} + 7 \, q^{4} t^{4} + q^{4} t^{3} + q^{3} t^{4} - 2 \, q^{2} t^{4} - t^{5}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 3], [0, 6], [1, 2], [1, 4], [1, 6], [2, 4], [2, 5], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{13} + 3 \, q^{11} t - 6 \, q^{10} t - 3 \, q^{9} t^{2} - 2 \, q^{9} t + q^{7} t^{3} + 6 \, q^{7} t^{2} + 6 \, q^{6} t^{2} + q^{6} t - 2 \, q^{4} t^{3} - 3 \, q^{4} t^{2} - 6 \, q^{3} t^{3} + 3 \, q^{2} t^{3} + t^{4}}{{\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 3], [0, 5], [1, 2], [1, 4], [1, 6], [2, 4], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{11} + q^{10} t - 2 \, q^{9} t + q^{8} t - q^{7} t^{2} - 2 \, q^{7} t - 2 \, q^{6} t + 2 \, q^{5} t^{2} + 2 \, q^{4} t^{2} + q^{4} t - q^{3} t^{2} + 2 \, q^{2} t^{2} - q t^{2} - t^{3}}{{\left(q^{3} - t\right)} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 3], [1, 2], [1, 4], [1, 5], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{9} + q^{7} t - 2 \, q^{5} t - 2 \, q^{4} t + q^{2} t + t^{2}}{{\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 15 edges: | [[0, 3], [0, 6], [1, 2], [1, 4], [1, 5], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + 3 \, q^{13} t - 8 \, q^{12} t - 3 \, q^{10} t^{2} + q^{9} t + 12 \, q^{8} t^{2} + q^{7} t^{3} - 3 \, q^{6} t^{2} - 8 \, q^{4} t^{3} + 3 \, q^{3} t^{3} + t^{4}}{{\left(q^{3} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 15 edges: | [[0, 3], [0, 5], [0, 6], [1, 2], [1, 4], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{13} + 2 \, q^{10} t - 4 \, q^{9} t - 2 \, q^{8} t - q^{7} t^{2} + q^{6} t + 2 \, q^{5} t^{2} + 4 \, q^{4} t^{2} - 2 \, q^{3} t^{2} - t^{3}}{{\left(q^{3} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 16 edges: | [[0, 3], [0, 5], [0, 6], [1, 2], [1, 4], [1, 5], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{21} + 12 \, q^{19} t - 20 \, q^{18} t + 2 \, q^{17} t^{2} - 16 \, q^{17} t - 80 \, q^{16} t^{2} + 22 \, q^{16} t + 155 \, q^{15} t^{2} - 22 \, q^{14} t^{3} + q^{13} t^{4} - 4 \, q^{15} t - 28 \, q^{14} t^{2} + 236 \, q^{13} t^{3} + 16 \, q^{12} t^{4} - q^{14} t - 30 \, q^{13} t^{2} - 432 \, q^{12} t^{3} - 44 \, q^{11} t^{4} - 6 \, q^{10} t^{5} - 4 \, q^{12} t^{2} + 156 \, q^{11} t^{3} - 156 \, q^{10} t^{4} + 4 \, q^{9} t^{5} + 6 \, q^{11} t^{2} + 44 \, q^{10} t^{3} + 432 \, q^{9} t^{4} + 30 \, q^{8} t^{5} + q^{7} t^{6} - 16 \, q^{9} t^{3} - 236 \, q^{8} t^{4} + 28 \, q^{7} t^{5} + 4 \, q^{6} t^{6} - q^{8} t^{3} + 22 \, q^{7} t^{4} - 155 \, q^{6} t^{5} - 22 \, q^{5} t^{6} + 80 \, q^{5} t^{5} + 16 \, q^{4} t^{6} - 2 \, q^{4} t^{5} + 20 \, q^{3} t^{6} - 12 \, q^{2} t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 3], [0, 4], [1, 2], [1, 6], [2, 5], [3, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + 2 \, q^{15} t - q^{14} t^{2} + 2 \, q^{14} t - 4 \, q^{13} t^{2} + 2 \, q^{12} t^{3} - 13 \, q^{13} t - 9 \, q^{12} t^{2} - q^{11} t^{3} + q^{10} t^{4} + 20 \, q^{11} t^{2} + 16 \, q^{10} t^{3} - 4 \, q^{9} t^{4} - 2 \, q^{11} t + 30 \, q^{10} t^{2} - 7 \, q^{9} t^{3} + 2 \, q^{8} t^{4} - 3 \, q^{7} t^{5} + 8 \, q^{10} t - 20 \, q^{9} t^{2} - 40 \, q^{8} t^{3} - 20 \, q^{7} t^{4} + 8 \, q^{6} t^{5} - 3 \, q^{9} t + 2 \, q^{8} t^{2} - 7 \, q^{7} t^{3} + 30 \, q^{6} t^{4} - 2 \, q^{5} t^{5} - 4 \, q^{7} t^{2} + 16 \, q^{6} t^{3} + 20 \, q^{5} t^{4} + q^{6} t^{2} - q^{5} t^{3} - 9 \, q^{4} t^{4} - 13 \, q^{3} t^{5} + 2 \, q^{4} t^{3} - 4 \, q^{3} t^{4} + 2 \, q^{2} t^{5} - q^{2} t^{4} + 2 \, q t^{5} + t^{6}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 3], [0, 4], [1, 2], [1, 5], [2, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{25} + 2 \, q^{23} t - q^{21} t^{2} - 10 \, q^{21} t - 8 \, q^{20} t^{2} - 8 \, q^{20} t + 3 \, q^{19} t^{2} + 2 \, q^{18} t^{3} + 12 \, q^{19} t + 12 \, q^{18} t^{2} + 4 \, q^{17} t^{3} - 3 \, q^{18} t + 39 \, q^{17} t^{2} + 26 \, q^{16} t^{3} + q^{15} t^{4} - 18 \, q^{16} t^{2} - 48 \, q^{15} t^{3} - 8 \, q^{14} t^{4} - 8 \, q^{15} t^{2} - 27 \, q^{14} t^{3} - 13 \, q^{13} t^{4} + 2 \, q^{14} t^{2} - 12 \, q^{13} t^{3} + 12 \, q^{12} t^{4} - 2 \, q^{11} t^{5} + 13 \, q^{12} t^{3} + 27 \, q^{11} t^{4} + 8 \, q^{10} t^{5} + 8 \, q^{11} t^{3} + 48 \, q^{10} t^{4} + 18 \, q^{9} t^{5} - q^{10} t^{3} - 26 \, q^{9} t^{4} - 39 \, q^{8} t^{5} + 3 \, q^{7} t^{6} - 4 \, q^{8} t^{4} - 12 \, q^{7} t^{5} - 12 \, q^{6} t^{6} - 2 \, q^{7} t^{4} - 3 \, q^{6} t^{5} + 8 \, q^{5} t^{6} + 8 \, q^{5} t^{5} + 10 \, q^{4} t^{6} + q^{4} t^{5} - 2 \, q^{2} t^{6} - t^{7}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 3], [0, 4], [1, 2], [1, 5], [1, 6], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 2 \, q^{15} t - q^{13} t^{2} - 12 \, q^{13} t - 8 \, q^{12} t^{2} + 2 \, q^{12} t + 11 \, q^{11} t^{2} + 2 \, q^{10} t^{3} + 4 \, q^{11} t + 12 \, q^{10} t^{2} + 2 \, q^{9} t^{3} - q^{10} t + q^{7} t^{4} - 2 \, q^{8} t^{2} - 12 \, q^{7} t^{3} - 4 \, q^{6} t^{4} - 2 \, q^{7} t^{2} - 11 \, q^{6} t^{3} - 2 \, q^{5} t^{4} + 8 \, q^{5} t^{3} + 12 \, q^{4} t^{4} + q^{4} t^{3} - 2 \, q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 3], [0, 4], [1, 2], [1, 5], [1, 6], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + q^{13} t + 4 \, q^{12} t - 12 \, q^{11} t - 2 \, q^{10} t^{2} - 2 \, q^{10} t - 5 \, q^{9} t^{2} + 6 \, q^{9} t + 10 \, q^{8} t^{2} - q^{7} t^{3} - q^{8} t + 10 \, q^{7} t^{2} + 6 \, q^{6} t^{3} - 5 \, q^{6} t^{2} - 2 \, q^{5} t^{3} - 2 \, q^{5} t^{2} - 12 \, q^{4} t^{3} + 4 \, q^{3} t^{3} + q^{2} t^{3} + t^{4}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 3], [0, 4], [0, 6], [1, 2], [1, 5], [1, 6], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + q^{13} t + 4 \, q^{12} t - 14 \, q^{11} t - 2 \, q^{10} t^{2} + 2 \, q^{10} t - 3 \, q^{9} t^{2} + 4 \, q^{9} t + 8 \, q^{8} t^{2} - q^{7} t^{3} - q^{8} t + 8 \, q^{7} t^{2} + 4 \, q^{6} t^{3} - 3 \, q^{6} t^{2} + 2 \, q^{5} t^{3} - 2 \, q^{5} t^{2} - 14 \, q^{4} t^{3} + 4 \, q^{3} t^{3} + q^{2} t^{3} + t^{4}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 3], [0, 4], [0, 6], [1, 2], [1, 5], [1, 6], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{13} + 5 \, q^{11} t - 10 \, q^{10} t - 3 \, q^{9} t^{2} - 2 \, q^{8} t^{2} + q^{7} t^{3} + 8 \, q^{7} t^{2} + 8 \, q^{6} t^{2} + q^{6} t - 2 \, q^{5} t^{2} - 3 \, q^{4} t^{2} - 10 \, q^{3} t^{3} + 5 \, q^{2} t^{3} + t^{4}}{{\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 3], [0, 4], [1, 2], [1, 5], [1, 6], [2, 5], [2, 6], [3, 4], [3, 6], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{11} + 2 \, q^{9} t - 2 \, q^{8} t - q^{7} t^{2} - 4 \, q^{7} t + 4 \, q^{4} t^{2} + q^{4} t + 2 \, q^{3} t^{2} - 2 \, q^{2} t^{2} - t^{3}}{{\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 3], [0, 4], [1, 2], [1, 5], [1, 6], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{12} + q^{10} t + q^{9} t - 6 \, q^{8} t - q^{7} t^{2} + q^{5} t + 6 \, q^{4} t^{2} - q^{3} t^{2} - q^{2} t^{2} - t^{3}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 3], [0, 4], [1, 2], [1, 5], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + 9 \, q^{17} t - 19 \, q^{16} t - q^{14} t^{2} + 6 \, q^{14} t - 31 \, q^{13} t^{2} - q^{13} t + 74 \, q^{12} t^{2} + q^{11} t^{3} - 32 \, q^{11} t^{2} - q^{10} t^{3} + q^{10} t^{2} + 32 \, q^{9} t^{3} - q^{9} t^{2} - 74 \, q^{8} t^{3} + q^{7} t^{4} + 31 \, q^{7} t^{3} - 6 \, q^{6} t^{4} + q^{6} t^{3} + 19 \, q^{4} t^{4} - 9 \, q^{3} t^{4} - t^{5}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 3], [0, 4], [0, 5], [1, 2], [1, 4], [1, 5], [2, 4], [2, 6], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + 2 \, q^{15} t - 4 \, q^{14} t - q^{13} t - q^{12} t^{2} - 4 \, q^{12} t + 3 \, q^{11} t - 4 \, q^{10} t^{2} + 16 \, q^{9} t^{2} - 4 \, q^{8} t^{2} + 3 \, q^{7} t^{3} - 4 \, q^{6} t^{3} - q^{6} t^{2} - q^{5} t^{3} - 4 \, q^{4} t^{3} + 2 \, q^{3} t^{3} + t^{4}}{{\left(q^{5} - t\right)} {\left(q^{3} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 15 edges: | [[0, 3], [0, 4], [0, 5], [1, 2], [1, 4], [1, 5], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + q^{15} t + 4 \, q^{14} t - 16 \, q^{13} t + 6 \, q^{12} t - 8 \, q^{11} t^{2} + q^{11} t + 13 \, q^{10} t^{2} - 4 \, q^{9} t^{2} + 13 \, q^{8} t^{2} + q^{7} t^{3} - 8 \, q^{7} t^{2} + 6 \, q^{6} t^{3} - 16 \, q^{5} t^{3} + 4 \, q^{4} t^{3} + q^{3} t^{3} + t^{4}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 3], [0, 4], [0, 5], [0, 6], [1, 2], [1, 4], [1, 5], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + q^{12} t - 3 \, q^{10} t - 4 \, q^{9} t + 3 \, q^{8} t - 3 \, q^{7} t^{2} + 4 \, q^{6} t^{2} + 3 \, q^{5} t^{2} - q^{3} t^{2} - t^{3}}{{\left(q^{5} - t\right)} {\left(q^{3} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 16 edges: | [[0, 3], [0, 4], [0, 5], [0, 6], [1, 2], [1, 4], [1, 5], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{10} + q^{7} t - 4 \, q^{5} t + q^{3} t + t^{2}}{{\left(q^{3} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 17 edges: | [[0, 3], [0, 4], [0, 5], [0, 6], [1, 2], [1, 4], [1, 5], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{24} + 3 \, q^{21} t - 4 \, q^{20} t - 14 \, q^{19} t - 3 \, q^{18} t^{2} + 10 \, q^{18} t - 20 \, q^{17} t^{2} - q^{17} t + 57 \, q^{16} t^{2} + q^{15} t^{3} - 16 \, q^{15} t^{2} + 16 \, q^{14} t^{3} + q^{14} t^{2} - 13 \, q^{13} t^{3} - 4 \, q^{13} t^{2} - 28 \, q^{12} t^{3} - 4 \, q^{11} t^{4} - 13 \, q^{11} t^{3} + q^{10} t^{4} + 16 \, q^{10} t^{3} - 16 \, q^{9} t^{4} + q^{9} t^{3} + 57 \, q^{8} t^{4} - q^{7} t^{5} - 20 \, q^{7} t^{4} + 10 \, q^{6} t^{5} - 3 \, q^{6} t^{4} - 14 \, q^{5} t^{5} - 4 \, q^{4} t^{5} + 3 \, q^{3} t^{5} + t^{6}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 3], [0, 5], [0, 6], [1, 2], [1, 4], [1, 6], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{21} + 2 \, q^{18} t - 16 \, q^{16} t - q^{15} t^{2} + 10 \, q^{15} t - 10 \, q^{14} t^{2} - q^{14} t + 17 \, q^{13} t^{2} + 14 \, q^{12} t^{2} + 2 \, q^{11} t^{3} - 8 \, q^{11} t^{2} + 8 \, q^{10} t^{3} - 2 \, q^{10} t^{2} - 14 \, q^{9} t^{3} - 17 \, q^{8} t^{3} + q^{7} t^{4} + 10 \, q^{7} t^{3} - 10 \, q^{6} t^{4} + q^{6} t^{3} + 16 \, q^{5} t^{4} - 2 \, q^{3} t^{4} - t^{5}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 3], [0, 4], [0, 6], [1, 2], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{13} + 2 \, q^{10} t - 2 \, q^{9} t - 6 \, q^{8} t - q^{7} t^{2} + 2 \, q^{7} t - 2 \, q^{6} t^{2} + q^{6} t + 6 \, q^{5} t^{2} + 2 \, q^{4} t^{2} - 2 \, q^{3} t^{2} - t^{3}}{{\left(q^{3} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 15 edges: | [[0, 3], [0, 4], [0, 6], [1, 2], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + q^{15} t - 2 \, q^{14} t + 6 \, q^{13} t - 18 \, q^{12} t - 6 \, q^{11} t^{2} + 10 \, q^{11} t + 10 \, q^{10} t^{2} - q^{10} t - q^{9} t^{2} - q^{8} t^{2} - q^{7} t^{3} + 10 \, q^{7} t^{2} + 10 \, q^{6} t^{3} - 6 \, q^{6} t^{2} - 18 \, q^{5} t^{3} + 6 \, q^{4} t^{3} - 2 \, q^{3} t^{3} + q^{2} t^{3} + t^{4}}{{\left(q^{4} - t\right)}^{2} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 3], [0, 4], [1, 2], [1, 4], [1, 5], [1, 6], [2, 3], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + q^{15} t + 4 \, q^{14} t - 18 \, q^{13} t + 10 \, q^{12} t - 6 \, q^{11} t^{2} - q^{11} t + 9 \, q^{10} t^{2} + 9 \, q^{8} t^{2} - q^{7} t^{3} - 6 \, q^{7} t^{2} + 10 \, q^{6} t^{3} - 18 \, q^{5} t^{3} + 4 \, q^{4} t^{3} + q^{3} t^{3} + t^{4}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 15 edges: | [[0, 3], [0, 4], [0, 6], [1, 2], [1, 4], [1, 5], [1, 6], [2, 3], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{21} + 2 \, q^{18} t - 16 \, q^{16} t - q^{15} t^{2} + 10 \, q^{15} t - 12 \, q^{14} t^{2} - q^{14} t + 25 \, q^{13} t^{2} + 2 \, q^{12} t^{2} + 4 \, q^{11} t^{3} - 4 \, q^{10} t^{2} - 2 \, q^{9} t^{3} - 25 \, q^{8} t^{3} + q^{7} t^{4} + 12 \, q^{7} t^{3} - 10 \, q^{6} t^{4} + q^{6} t^{3} + 16 \, q^{5} t^{4} - 2 \, q^{3} t^{4} - t^{5}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 3], [0, 4], [0, 5], [1, 2], [1, 4], [1, 6], [2, 3], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + 11 \, q^{17} t - 19 \, q^{16} t - 10 \, q^{15} t - q^{14} t^{2} + 18 \, q^{14} t - 37 \, q^{13} t^{2} - 5 \, q^{13} t + 82 \, q^{12} t^{2} - 3 \, q^{11} t^{3} - 26 \, q^{11} t^{2} + 11 \, q^{10} t^{3} - 11 \, q^{10} t^{2} + 26 \, q^{9} t^{3} + 3 \, q^{9} t^{2} - 82 \, q^{8} t^{3} + 5 \, q^{7} t^{4} + 37 \, q^{7} t^{3} - 18 \, q^{6} t^{4} + q^{6} t^{3} + 10 \, q^{5} t^{4} + 19 \, q^{4} t^{4} - 11 \, q^{3} t^{4} - t^{5}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 3], [0, 4], [0, 5], [1, 2], [1, 4], [1, 5], [2, 3], [2, 6], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + 8 \, q^{16} t - 19 \, q^{15} t + 6 \, q^{14} t + q^{13} t + q^{12} t^{2} - 22 \, q^{11} t^{2} + 48 \, q^{10} t^{2} - 22 \, q^{9} t^{2} + q^{8} t^{2} + q^{7} t^{3} + 6 \, q^{6} t^{3} - 19 \, q^{5} t^{3} + 8 \, q^{4} t^{3} + t^{4}}{{\left(q^{5} - t\right)} {\left(q^{4} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 15 edges: | [[0, 3], [0, 4], [0, 5], [0, 6], [1, 2], [1, 4], [1, 5], [1, 6], [2, 3], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + 8 \, q^{11} t - 20 \, q^{10} t + 10 \, q^{9} t - q^{8} t + q^{7} t^{2} - 10 \, q^{6} t^{2} + 20 \, q^{5} t^{2} - 8 \, q^{4} t^{2} - t^{3}}{{\left(q^{4} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 16 edges: | [[0, 3], [0, 4], [0, 5], [0, 6], [1, 2], [1, 4], [1, 5], [1, 6], [2, 3], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + q^{15} t + 6 \, q^{14} t - 22 \, q^{13} t + 12 \, q^{12} t - 8 \, q^{11} t^{2} - q^{11} t + 13 \, q^{10} t^{2} - 4 \, q^{9} t^{2} + 13 \, q^{8} t^{2} - q^{7} t^{3} - 8 \, q^{7} t^{2} + 12 \, q^{6} t^{3} - 22 \, q^{5} t^{3} + 6 \, q^{4} t^{3} + q^{3} t^{3} + t^{4}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 3], [0, 4], [0, 5], [1, 2], [1, 4], [1, 5], [1, 6], [2, 3], [2, 5], [2, 6], [3, 4], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + 10 \, q^{11} t - 24 \, q^{10} t + 12 \, q^{9} t - q^{8} t + q^{7} t^{2} - 12 \, q^{6} t^{2} + 24 \, q^{5} t^{2} - 10 \, q^{4} t^{2} - t^{3}}{{\left(q^{4} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 15 edges: | [[0, 3], [0, 4], [0, 5], [0, 6], [1, 2], [1, 4], [1, 5], [1, 6], [2, 3], [2, 5], [2, 6], [3, 4], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + 12 \, q^{11} t - 28 \, q^{10} t + 14 \, q^{9} t - q^{8} t + q^{7} t^{2} - 14 \, q^{6} t^{2} + 28 \, q^{5} t^{2} - 12 \, q^{4} t^{2} - t^{3}}{{\left(q^{4} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 3], [0, 4], [0, 5], [0, 6], [1, 2], [1, 4], [1, 5], [1, 6], [2, 3], [2, 5], [2, 6], [3, 4], [3, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + 4 \, q^{16} t - 9 \, q^{15} t - 2 \, q^{14} t + 3 \, q^{13} t - q^{12} t^{2} - 10 \, q^{11} t^{2} + 28 \, q^{10} t^{2} - 10 \, q^{9} t^{2} - q^{8} t^{2} + 3 \, q^{7} t^{3} - 2 \, q^{6} t^{3} - 9 \, q^{5} t^{3} + 4 \, q^{4} t^{3} + t^{4}}{{\left(q^{5} - t\right)} {\left(q^{4} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 16 edges: | [[0, 3], [0, 4], [0, 5], [0, 6], [1, 2], [1, 4], [1, 5], [1, 6], [2, 3], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + 2 \, q^{16} t - 5 \, q^{15} t - 4 \, q^{14} t + 3 \, q^{13} t - q^{12} t^{2} - 6 \, q^{11} t^{2} + 20 \, q^{10} t^{2} - 6 \, q^{9} t^{2} - q^{8} t^{2} + 3 \, q^{7} t^{3} - 4 \, q^{6} t^{3} - 5 \, q^{5} t^{3} + 2 \, q^{4} t^{3} + t^{4}}{{\left(q^{5} - t\right)} {\left(q^{4} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 17 edges: | [[0, 3], [0, 4], [0, 5], [0, 6], [1, 2], [1, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + 2 \, q^{11} t - 6 \, q^{10} t + q^{8} t - q^{7} t^{2} + 6 \, q^{5} t^{2} - 2 \, q^{4} t^{2} - t^{3}}{{\left(q^{4} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 18 edges: | [[0, 3], [0, 4], [0, 5], [0, 6], [1, 2], [1, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{22} + q^{20} t + 7 \, q^{19} t - 21 \, q^{18} t - 7 \, q^{17} t^{2} + 2 \, q^{16} t^{2} + 10 \, q^{16} t - 9 \, q^{15} t^{2} - q^{14} t^{3} - 3 \, q^{15} t + 68 \, q^{14} t^{2} + 28 \, q^{13} t^{3} - 41 \, q^{13} t^{2} - 29 \, q^{12} t^{3} + q^{11} t^{4} + q^{12} t^{2} - 16 \, q^{11} t^{3} + q^{10} t^{4} + q^{11} t^{2} - 29 \, q^{10} t^{3} - 41 \, q^{9} t^{4} + 28 \, q^{9} t^{3} + 68 \, q^{8} t^{4} - 3 \, q^{7} t^{5} - q^{8} t^{3} - 9 \, q^{7} t^{4} + 10 \, q^{6} t^{5} + 2 \, q^{6} t^{4} - 7 \, q^{5} t^{4} - 21 \, q^{4} t^{5} + 7 \, q^{3} t^{5} + q^{2} t^{5} + t^{6}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 3], [0, 4], [1, 2], [1, 3], [1, 5], [2, 5], [2, 6], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + q^{15} t + 2 \, q^{14} t - 12 \, q^{13} t + 4 \, q^{12} t - 4 \, q^{11} t^{2} + q^{11} t + q^{10} t^{2} + 12 \, q^{9} t^{2} + q^{8} t^{2} + q^{7} t^{3} - 4 \, q^{7} t^{2} + 4 \, q^{6} t^{3} - 12 \, q^{5} t^{3} + 2 \, q^{4} t^{3} + q^{3} t^{3} + t^{4}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 15 edges: | [[0, 3], [0, 4], [0, 5], [1, 2], [1, 3], [1, 4], [1, 6], [2, 4], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + q^{12} t + q^{11} t - 10 \, q^{10} t + 5 \, q^{9} t - 5 \, q^{7} t^{2} + 10 \, q^{6} t^{2} - q^{5} t^{2} - q^{4} t^{2} - t^{3}}{{\left(q^{5} - t\right)} {\left(q^{4} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 17 edges: | [[0, 3], [0, 4], [0, 5], [0, 6], [1, 2], [1, 3], [1, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + q^{12} t - q^{11} t - 6 \, q^{10} t + 3 \, q^{9} t - 3 \, q^{7} t^{2} + 6 \, q^{6} t^{2} + q^{5} t^{2} - q^{4} t^{2} - t^{3}}{{\left(q^{5} - t\right)} {\left(q^{4} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 18 edges: | [[0, 3], [0, 4], [0, 5], [0, 6], [1, 2], [1, 3], [1, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{11} + q^{7} t - 2 \, q^{6} t - 2 \, q^{5} t + q^{4} t + t^{2}}{{\left(q^{4} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 19 edges: | [[0, 3], [0, 4], [0, 5], [0, 6], [1, 2], [1, 3], [1, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + 2 \, q^{19} t - q^{18} t^{2} - 2 \, q^{18} t - 4 \, q^{17} t^{2} + 2 \, q^{16} t^{3} - 3 \, q^{17} t - q^{16} t^{2} - q^{15} t^{3} + q^{14} t^{4} - 9 \, q^{16} t + 4 \, q^{15} t^{2} + 11 \, q^{14} t^{3} - 4 \, q^{13} t^{4} + 30 \, q^{14} t^{2} + 13 \, q^{13} t^{3} - 4 \, q^{12} t^{4} - q^{11} t^{5} + 8 \, q^{14} t + q^{13} t^{2} - 63 \, q^{12} t^{3} - 7 \, q^{11} t^{4} + q^{10} t^{5} - 3 \, q^{13} t - 2 \, q^{12} t^{2} + 9 \, q^{11} t^{3} + 20 \, q^{10} t^{4} + 6 \, q^{9} t^{5} - 6 \, q^{11} t^{2} - 20 \, q^{10} t^{3} - 9 \, q^{9} t^{4} + 2 \, q^{8} t^{5} + 3 \, q^{7} t^{6} - q^{10} t^{2} + 7 \, q^{9} t^{3} + 63 \, q^{8} t^{4} - q^{7} t^{5} - 8 \, q^{6} t^{6} + q^{9} t^{2} + 4 \, q^{8} t^{3} - 13 \, q^{7} t^{4} - 30 \, q^{6} t^{5} + 4 \, q^{7} t^{3} - 11 \, q^{6} t^{4} - 4 \, q^{5} t^{5} + 9 \, q^{4} t^{6} - q^{6} t^{3} + q^{5} t^{4} + q^{4} t^{5} + 3 \, q^{3} t^{6} - 2 \, q^{4} t^{4} + 4 \, q^{3} t^{5} + 2 \, q^{2} t^{6} + q^{2} t^{5} - 2 \, q t^{6} - t^{7}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 2], [1, 5], [1, 6], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{13} + 2 \, q^{12} t - q^{11} t^{2} - 2 \, q^{11} t - 4 \, q^{10} t^{2} + 2 \, q^{9} t^{3} - 4 \, q^{10} t + q^{9} t^{2} - 2 \, q^{8} t^{3} + q^{7} t^{4} - 6 \, q^{9} t + 14 \, q^{8} t^{2} + 6 \, q^{7} t^{3} - 2 \, q^{6} t^{4} + 4 \, q^{8} t + 6 \, q^{7} t^{2} - 6 \, q^{6} t^{3} - 4 \, q^{5} t^{4} + 2 \, q^{7} t - 6 \, q^{6} t^{2} - 14 \, q^{5} t^{3} + 6 \, q^{4} t^{4} - q^{6} t + 2 \, q^{5} t^{2} - q^{4} t^{3} + 4 \, q^{3} t^{4} - 2 \, q^{4} t^{2} + 4 \, q^{3} t^{3} + 2 \, q^{2} t^{4} + q^{2} t^{3} - 2 \, q t^{4} - t^{5}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 2], [1, 5], [1, 6], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{19} + 2 \, q^{18} t - q^{17} t^{2} - 2 \, q^{17} t - 4 \, q^{16} t^{2} + 2 \, q^{15} t^{3} - 2 \, q^{16} t - 7 \, q^{15} t^{2} + 4 \, q^{14} t^{3} - q^{13} t^{4} - 16 \, q^{15} t + 20 \, q^{14} t^{2} + 4 \, q^{12} t^{4} + 12 \, q^{14} t + 25 \, q^{13} t^{2} + 26 \, q^{12} t^{3} - 21 \, q^{11} t^{4} - 4 \, q^{10} t^{5} - 8 \, q^{12} t^{2} - 78 \, q^{11} t^{3} + 4 \, q^{10} t^{4} + 14 \, q^{9} t^{5} - q^{12} t + 6 \, q^{11} t^{2} - 3 \, q^{10} t^{3} + 3 \, q^{9} t^{4} - 6 \, q^{8} t^{5} + q^{7} t^{6} - 14 \, q^{10} t^{2} - 4 \, q^{9} t^{3} + 78 \, q^{8} t^{4} + 8 \, q^{7} t^{5} + 4 \, q^{9} t^{2} + 21 \, q^{8} t^{3} - 26 \, q^{7} t^{4} - 25 \, q^{6} t^{5} - 12 \, q^{5} t^{6} - 4 \, q^{7} t^{3} - 20 \, q^{5} t^{5} + 16 \, q^{4} t^{6} + q^{6} t^{3} - 4 \, q^{5} t^{4} + 7 \, q^{4} t^{5} + 2 \, q^{3} t^{6} - 2 \, q^{4} t^{4} + 4 \, q^{3} t^{5} + 2 \, q^{2} t^{6} + q^{2} t^{5} - 2 \, q t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 2], [1, 5], [1, 6], [2, 4], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 2 \, q^{16} t - q^{15} t^{2} - 3 \, q^{15} t - 2 \, q^{14} t^{2} + q^{13} t^{3} - 4 \, q^{13} t^{2} + 2 \, q^{12} t^{3} - 12 \, q^{13} t + 12 \, q^{12} t^{2} - 2 \, q^{11} t^{3} + 2 \, q^{10} t^{4} + 6 \, q^{12} t + 13 \, q^{11} t^{2} + 14 \, q^{10} t^{3} - 11 \, q^{9} t^{4} + 2 \, q^{11} t - 2 \, q^{10} t^{2} - 25 \, q^{9} t^{3} + 8 \, q^{8} t^{4} - q^{7} t^{5} - q^{10} t + 8 \, q^{9} t^{2} - 25 \, q^{8} t^{3} - 2 \, q^{7} t^{4} + 2 \, q^{6} t^{5} - 11 \, q^{8} t^{2} + 14 \, q^{7} t^{3} + 13 \, q^{6} t^{4} + 6 \, q^{5} t^{5} + 2 \, q^{7} t^{2} - 2 \, q^{6} t^{3} + 12 \, q^{5} t^{4} - 12 \, q^{4} t^{5} + 2 \, q^{5} t^{3} - 4 \, q^{4} t^{4} + q^{4} t^{3} - 2 \, q^{3} t^{4} - 3 \, q^{2} t^{5} - q^{2} t^{4} + 2 \, q t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 2], [1, 5], [1, 6], [2, 4], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 2 \, q^{16} t - q^{15} t^{2} - 3 \, q^{15} t - 2 \, q^{14} t^{2} + q^{13} t^{3} + 4 \, q^{14} t - 4 \, q^{13} t^{2} + 2 \, q^{12} t^{3} - 20 \, q^{13} t - 2 \, q^{11} t^{3} + 2 \, q^{10} t^{4} + 8 \, q^{12} t + 39 \, q^{11} t^{2} + 20 \, q^{10} t^{3} - 9 \, q^{9} t^{4} + 6 \, q^{11} t - 16 \, q^{10} t^{2} - 31 \, q^{9} t^{3} + 6 \, q^{8} t^{4} - 3 \, q^{7} t^{5} - 3 \, q^{10} t + 6 \, q^{9} t^{2} - 31 \, q^{8} t^{3} - 16 \, q^{7} t^{4} + 6 \, q^{6} t^{5} - 9 \, q^{8} t^{2} + 20 \, q^{7} t^{3} + 39 \, q^{6} t^{4} + 8 \, q^{5} t^{5} + 2 \, q^{7} t^{2} - 2 \, q^{6} t^{3} - 20 \, q^{4} t^{5} + 2 \, q^{5} t^{3} - 4 \, q^{4} t^{4} + 4 \, q^{3} t^{5} + q^{4} t^{3} - 2 \, q^{3} t^{4} - 3 \, q^{2} t^{5} - q^{2} t^{4} + 2 \, q t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 2], [1, 4], [1, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{19} + 5 \, q^{17} t - 4 \, q^{16} t - 3 \, q^{15} t^{2} - 20 \, q^{15} t - 16 \, q^{14} t^{2} + q^{13} t^{3} + 14 \, q^{14} t + 25 \, q^{13} t^{2} - 4 \, q^{12} t^{3} + 30 \, q^{12} t^{2} + 45 \, q^{11} t^{3} + 4 \, q^{10} t^{4} - q^{12} t - 12 \, q^{11} t^{2} - 52 \, q^{10} t^{3} - 13 \, q^{9} t^{4} - 13 \, q^{10} t^{2} - 52 \, q^{9} t^{3} - 12 \, q^{8} t^{4} - q^{7} t^{5} + 4 \, q^{9} t^{2} + 45 \, q^{8} t^{3} + 30 \, q^{7} t^{4} - 4 \, q^{7} t^{3} + 25 \, q^{6} t^{4} + 14 \, q^{5} t^{5} + q^{6} t^{3} - 16 \, q^{5} t^{4} - 20 \, q^{4} t^{5} - 3 \, q^{4} t^{4} - 4 \, q^{3} t^{5} + 5 \, q^{2} t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 2], [0, 5], [1, 5], [1, 6], [2, 3], [3, 4], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{11} + q^{10} t + 2 \, q^{9} t - 3 \, q^{8} t + q^{7} t^{2} - 6 \, q^{7} t - 4 \, q^{6} t^{2} + 4 \, q^{5} t + 6 \, q^{4} t^{2} - q^{4} t + 3 \, q^{3} t^{2} - 2 \, q^{2} t^{2} - q t^{2} - t^{3}}{{\left(q^{3} - t\right)} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 2], [1, 5], [1, 6], [2, 3], [2, 4], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + q^{14} t - q^{12} t - q^{11} t^{2} - 3 \, q^{11} t - q^{10} t^{2} - 6 \, q^{10} t + 6 \, q^{9} t + 5 \, q^{8} t^{2} - q^{7} t^{3} - q^{8} t + 5 \, q^{7} t^{2} + 6 \, q^{6} t^{3} - 6 \, q^{5} t^{3} - q^{5} t^{2} - 3 \, q^{4} t^{3} - q^{4} t^{2} - q^{3} t^{3} + q t^{3} + t^{4}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 2], [1, 4], [1, 5], [1, 6], [2, 3], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + 2 \, q^{16} t - 3 \, q^{15} t - q^{14} t^{2} - 3 \, q^{14} t - 2 \, q^{13} t^{2} - 6 \, q^{13} t - 2 \, q^{12} t^{2} + q^{11} t^{3} + 6 \, q^{12} t + 17 \, q^{11} t^{2} + q^{10} t^{3} - q^{11} t + q^{7} t^{4} - q^{8} t^{2} - 17 \, q^{7} t^{3} - 6 \, q^{6} t^{4} - q^{7} t^{2} + 2 \, q^{6} t^{3} + 6 \, q^{5} t^{4} + 2 \, q^{5} t^{3} + 3 \, q^{4} t^{4} + q^{4} t^{3} + 3 \, q^{3} t^{4} - 2 \, q^{2} t^{4} - t^{5}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 2], [0, 6], [1, 4], [1, 5], [1, 6], [2, 3], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{26} + q^{24} t + q^{23} t - 6 \, q^{22} t - 5 \, q^{21} t^{2} - 14 \, q^{21} t - q^{20} t^{2} + 14 \, q^{20} t - 6 \, q^{19} t^{2} + 3 \, q^{18} t^{3} - 3 \, q^{19} t + 65 \, q^{18} t^{2} + 17 \, q^{17} t^{3} - 29 \, q^{17} t^{2} - 9 \, q^{16} t^{3} - q^{15} t^{4} - 3 \, q^{16} t^{2} - 37 \, q^{15} t^{3} - 4 \, q^{14} t^{4} - 41 \, q^{14} t^{3} - 27 \, q^{13} t^{4} + 27 \, q^{13} t^{3} + 41 \, q^{12} t^{4} + 4 \, q^{12} t^{3} + 37 \, q^{11} t^{4} + 3 \, q^{10} t^{5} + q^{11} t^{3} + 9 \, q^{10} t^{4} + 29 \, q^{9} t^{5} - 17 \, q^{9} t^{4} - 65 \, q^{8} t^{5} + 3 \, q^{7} t^{6} - 3 \, q^{8} t^{4} + 6 \, q^{7} t^{5} - 14 \, q^{6} t^{6} + q^{6} t^{5} + 14 \, q^{5} t^{6} + 5 \, q^{5} t^{5} + 6 \, q^{4} t^{6} - q^{3} t^{6} - q^{2} t^{6} - t^{7}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 2], [0, 4], [1, 4], [1, 5], [1, 6], [2, 3], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 4 \, q^{14} t - 5 \, q^{13} t - 10 \, q^{12} t - q^{11} t^{2} + 8 \, q^{11} t - 6 \, q^{10} t^{2} - q^{10} t + 10 \, q^{9} t^{2} + 10 \, q^{8} t^{2} - q^{7} t^{3} - 6 \, q^{7} t^{2} + 8 \, q^{6} t^{3} - q^{6} t^{2} - 10 \, q^{5} t^{3} - 5 \, q^{4} t^{3} + 4 \, q^{3} t^{3} + t^{4}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 2], [0, 4], [0, 5], [1, 4], [1, 5], [1, 6], [2, 3], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{22} + q^{20} t + q^{19} t - 9 \, q^{18} t - 5 \, q^{17} t^{2} - 4 \, q^{17} t + 2 \, q^{16} t^{2} + 6 \, q^{16} t + q^{15} t^{2} + 3 \, q^{14} t^{3} - q^{15} t + 36 \, q^{14} t^{2} + 8 \, q^{13} t^{3} - 19 \, q^{13} t^{2} - 9 \, q^{12} t^{3} - q^{11} t^{4} + q^{12} t^{2} - 24 \, q^{11} t^{3} + q^{10} t^{4} - q^{11} t^{2} - 9 \, q^{10} t^{3} - 19 \, q^{9} t^{4} + 8 \, q^{9} t^{3} + 36 \, q^{8} t^{4} - q^{7} t^{5} + 3 \, q^{8} t^{3} + q^{7} t^{4} + 6 \, q^{6} t^{5} + 2 \, q^{6} t^{4} - 4 \, q^{5} t^{5} - 5 \, q^{5} t^{4} - 9 \, q^{4} t^{5} + q^{3} t^{5} + q^{2} t^{5} + t^{6}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 2], [0, 5], [1, 3], [1, 5], [1, 6], [2, 4], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{11} + 2 \, q^{9} t - 2 \, q^{8} t - q^{7} t^{2} - 4 \, q^{7} t + 4 \, q^{4} t^{2} + q^{4} t + 2 \, q^{3} t^{2} - 2 \, q^{2} t^{2} - t^{3}}{{\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 2], [0, 5], [1, 3], [1, 4], [1, 6], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{22} + q^{20} t + q^{19} t - 9 \, q^{18} t - 5 \, q^{17} t^{2} - 4 \, q^{17} t + 6 \, q^{16} t + 9 \, q^{15} t^{2} + 3 \, q^{14} t^{3} - q^{15} t + 24 \, q^{14} t^{2} + 12 \, q^{13} t^{3} - 11 \, q^{13} t^{2} - 25 \, q^{12} t^{3} - q^{11} t^{4} - q^{12} t^{2} - q^{10} t^{4} - q^{11} t^{2} - 25 \, q^{10} t^{3} - 11 \, q^{9} t^{4} + 12 \, q^{9} t^{3} + 24 \, q^{8} t^{4} - q^{7} t^{5} + 3 \, q^{8} t^{3} + 9 \, q^{7} t^{4} + 6 \, q^{6} t^{5} - 4 \, q^{5} t^{5} - 5 \, q^{5} t^{4} - 9 \, q^{4} t^{5} + q^{3} t^{5} + q^{2} t^{5} + t^{6}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 2], [0, 4], [1, 3], [1, 5], [1, 6], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + q^{15} t - 8 \, q^{13} t + 2 \, q^{12} t - 4 \, q^{11} t^{2} + q^{11} t + 5 \, q^{10} t^{2} + 4 \, q^{9} t^{2} + 5 \, q^{8} t^{2} + q^{7} t^{3} - 4 \, q^{7} t^{2} + 2 \, q^{6} t^{3} - 8 \, q^{5} t^{3} + q^{3} t^{3} + t^{4}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 16 edges: | [[0, 2], [0, 5], [0, 6], [1, 3], [1, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{23} + 3 \, q^{21} t - 4 \, q^{20} t - 3 \, q^{19} t^{2} - 9 \, q^{19} t - 10 \, q^{18} t^{2} + q^{17} t^{3} - 4 \, q^{18} t + 12 \, q^{17} t^{2} + 6 \, q^{16} t^{3} + 10 \, q^{17} t + 38 \, q^{16} t^{2} + 10 \, q^{15} t^{3} - 2 \, q^{14} t^{4} - 3 \, q^{16} t - 6 \, q^{15} t^{2} - 6 \, q^{14} t^{3} + 4 \, q^{13} t^{4} - 9 \, q^{14} t^{2} - 59 \, q^{13} t^{3} - 30 \, q^{12} t^{4} - q^{11} t^{5} - 2 \, q^{13} t^{2} - 15 \, q^{12} t^{3} + 15 \, q^{11} t^{4} + 2 \, q^{10} t^{5} + q^{12} t^{2} + 30 \, q^{11} t^{3} + 59 \, q^{10} t^{4} + 9 \, q^{9} t^{5} - 4 \, q^{10} t^{3} + 6 \, q^{9} t^{4} + 6 \, q^{8} t^{5} + 3 \, q^{7} t^{6} + 2 \, q^{9} t^{3} - 10 \, q^{8} t^{4} - 38 \, q^{7} t^{5} - 10 \, q^{6} t^{6} - 6 \, q^{7} t^{4} - 12 \, q^{6} t^{5} + 4 \, q^{5} t^{6} - q^{6} t^{4} + 10 \, q^{5} t^{5} + 9 \, q^{4} t^{6} + 3 \, q^{4} t^{5} + 4 \, q^{3} t^{6} - 3 \, q^{2} t^{6} - t^{7}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 2], [0, 3], [1, 4], [1, 6], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + q^{16} t + 5 \, q^{15} t - 18 \, q^{14} t - 7 \, q^{13} t^{2} + 4 \, q^{13} t + 5 \, q^{12} t^{2} + 4 \, q^{12} t + 4 \, q^{11} t^{2} + q^{10} t^{3} - q^{11} t + 22 \, q^{10} t^{2} + 13 \, q^{9} t^{3} - 13 \, q^{9} t^{2} - 22 \, q^{8} t^{3} + q^{7} t^{4} - q^{8} t^{2} - 4 \, q^{7} t^{3} - 4 \, q^{6} t^{4} - 5 \, q^{6} t^{3} - 4 \, q^{5} t^{4} + 7 \, q^{5} t^{3} + 18 \, q^{4} t^{4} - 5 \, q^{3} t^{4} - q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 2], [0, 3], [1, 4], [1, 5], [1, 6], [2, 5], [2, 6], [3, 4], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{26} + q^{24} t + q^{23} t - 6 \, q^{22} t - 5 \, q^{21} t^{2} - 14 \, q^{21} t - q^{20} t^{2} + 14 \, q^{20} t - 6 \, q^{19} t^{2} + 3 \, q^{18} t^{3} - 3 \, q^{19} t + 65 \, q^{18} t^{2} + 17 \, q^{17} t^{3} - 29 \, q^{17} t^{2} - 9 \, q^{16} t^{3} - q^{15} t^{4} - 3 \, q^{16} t^{2} - 37 \, q^{15} t^{3} - 4 \, q^{14} t^{4} - 41 \, q^{14} t^{3} - 27 \, q^{13} t^{4} + 27 \, q^{13} t^{3} + 41 \, q^{12} t^{4} + 4 \, q^{12} t^{3} + 37 \, q^{11} t^{4} + 3 \, q^{10} t^{5} + q^{11} t^{3} + 9 \, q^{10} t^{4} + 29 \, q^{9} t^{5} - 17 \, q^{9} t^{4} - 65 \, q^{8} t^{5} + 3 \, q^{7} t^{6} - 3 \, q^{8} t^{4} + 6 \, q^{7} t^{5} - 14 \, q^{6} t^{6} + q^{6} t^{5} + 14 \, q^{5} t^{6} + 5 \, q^{5} t^{5} + 6 \, q^{4} t^{6} - q^{3} t^{6} - q^{2} t^{6} - t^{7}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 2], [0, 3], [1, 4], [1, 5], [1, 6], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + q^{18} t - q^{17} t - q^{15} t^{2} - 12 \, q^{15} t - 6 \, q^{14} t^{2} + 8 \, q^{14} t + 14 \, q^{13} t^{2} - q^{13} t - 5 \, q^{12} t^{2} + 2 \, q^{11} t^{3} + 15 \, q^{11} t^{2} + 5 \, q^{10} t^{3} - 5 \, q^{10} t^{2} - 15 \, q^{9} t^{3} - 2 \, q^{9} t^{2} + 5 \, q^{8} t^{3} + q^{7} t^{4} - 14 \, q^{7} t^{3} - 8 \, q^{6} t^{4} + 6 \, q^{6} t^{3} + 12 \, q^{5} t^{4} + q^{5} t^{3} + q^{3} t^{4} - q^{2} t^{4} - t^{5}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 2], [0, 3], [1, 4], [1, 5], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + 2 \, q^{12} t - q^{11} t - q^{10} t^{2} - 8 \, q^{10} t - 4 \, q^{9} t^{2} + 2 \, q^{9} t + 6 \, q^{8} t^{2} + q^{7} t^{3} + 4 \, q^{7} t^{2} + q^{7} t + 6 \, q^{6} t^{2} + 2 \, q^{5} t^{3} - 4 \, q^{5} t^{2} - 8 \, q^{4} t^{3} - q^{4} t^{2} - q^{3} t^{3} + 2 \, q^{2} t^{3} + t^{4}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 2], [0, 3], [1, 4], [1, 5], [1, 6], [2, 3], [2, 6], [3, 4], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + 3 \, q^{13} t - 6 \, q^{12} t - 4 \, q^{11} t - 3 \, q^{10} t^{2} + 2 \, q^{10} t - 4 \, q^{9} t^{2} + q^{9} t + 20 \, q^{8} t^{2} + q^{7} t^{3} - 4 \, q^{7} t^{2} + 2 \, q^{6} t^{3} - 3 \, q^{6} t^{2} - 4 \, q^{5} t^{3} - 6 \, q^{4} t^{3} + 3 \, q^{3} t^{3} + t^{4}}{{\left(q^{3} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 2], [0, 3], [0, 6], [1, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{21} + 4 \, q^{18} t - 4 \, q^{17} t - 14 \, q^{16} t - q^{15} t^{2} + 10 \, q^{15} t - 14 \, q^{14} t^{2} - q^{14} t + 23 \, q^{13} t^{2} + 14 \, q^{12} t^{2} + 2 \, q^{11} t^{3} - 10 \, q^{11} t^{2} + 10 \, q^{10} t^{3} - 2 \, q^{10} t^{2} - 14 \, q^{9} t^{3} - 23 \, q^{8} t^{3} + q^{7} t^{4} + 14 \, q^{7} t^{3} - 10 \, q^{6} t^{4} + q^{6} t^{3} + 14 \, q^{5} t^{4} + 4 \, q^{4} t^{4} - 4 \, q^{3} t^{4} - t^{5}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 2], [0, 3], [0, 6], [1, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{13} + 4 \, q^{10} t - 6 \, q^{9} t - 4 \, q^{8} t - q^{7} t^{2} + 2 \, q^{7} t - 2 \, q^{6} t^{2} + q^{6} t + 4 \, q^{5} t^{2} + 6 \, q^{4} t^{2} - 4 \, q^{3} t^{2} - t^{3}}{{\left(q^{3} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 2], [0, 3], [0, 4], [1, 4], [1, 5], [1, 6], [2, 3], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + q^{15} t - 2 \, q^{14} t + 2 \, q^{13} t - 8 \, q^{12} t - 4 \, q^{11} t^{2} + 2 \, q^{11} t + 6 \, q^{10} t^{2} + q^{10} t + q^{9} t^{2} + q^{8} t^{2} + q^{7} t^{3} + 6 \, q^{7} t^{2} + 2 \, q^{6} t^{3} - 4 \, q^{6} t^{2} - 8 \, q^{5} t^{3} + 2 \, q^{4} t^{3} - 2 \, q^{3} t^{3} + q^{2} t^{3} + t^{4}}{{\left(q^{4} - t\right)}^{2} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 15 edges: | [[0, 2], [0, 3], [1, 3], [1, 4], [1, 5], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{9} t - 2 \, q^{8} t^{2} - q^{7} t^{3} + q^{9} + 2 \, q^{8} t - q^{7} t^{2} + 4 \, q^{6} t^{3} - 8 \, q^{7} t + 4 \, q^{6} t^{2} - 2 \, q^{5} t^{3} + 2 \, q^{6} t + 2 \, q^{5} t^{2} - 2 \, q^{4} t^{3} - 2 \, q^{5} t + 2 \, q^{4} t^{2} + 2 \, q^{3} t^{3} - 2 \, q^{4} t + 4 \, q^{3} t^{2} - 8 \, q^{2} t^{3} + 4 \, q^{3} t - q^{2} t^{2} + 2 \, q t^{3} + t^{4} - q^{2} t - 2 \, q t^{2} + t^{3}}{{\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 2], [1, 2], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{12} + 3 \, q^{11} t - 3 \, q^{10} t^{2} + q^{9} t^{3} - 5 \, q^{10} t - 5 \, q^{9} t^{2} + q^{8} t^{3} + q^{7} t^{4} - 4 \, q^{9} t + 16 \, q^{8} t^{2} + 4 \, q^{7} t^{3} - 4 \, q^{6} t^{4} - 2 \, q^{7} t^{2} - 10 \, q^{6} t^{3} + 2 \, q^{5} t^{4} - 2 \, q^{7} t + 10 \, q^{6} t^{2} + 2 \, q^{5} t^{3} + 4 \, q^{6} t - 4 \, q^{5} t^{2} - 16 \, q^{4} t^{3} + 4 \, q^{3} t^{4} - q^{5} t - q^{4} t^{2} + 5 \, q^{3} t^{3} + 5 \, q^{2} t^{4} - q^{3} t^{2} + 3 \, q^{2} t^{3} - 3 \, q t^{4} - t^{5}}{{\left(q^{2} - t\right)} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 2], [1, 2], [1, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + 7 \, q^{13} t - 14 \, q^{12} t - 2 \, q^{11} t - 3 \, q^{10} t^{2} + 6 \, q^{10} t - 8 \, q^{9} t^{2} - q^{9} t + 28 \, q^{8} t^{2} - q^{7} t^{3} - 8 \, q^{7} t^{2} + 6 \, q^{6} t^{3} - 3 \, q^{6} t^{2} - 2 \, q^{5} t^{3} - 14 \, q^{4} t^{3} + 7 \, q^{3} t^{3} + t^{4}}{{\left(q^{3} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 2], [0, 5], [0, 6], [1, 2], [1, 5], [1, 6], [2, 4], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{22} + 9 \, q^{20} t - 15 \, q^{19} t - q^{18} t^{2} - 12 \, q^{18} t - 39 \, q^{17} t^{2} - q^{16} t^{3} + 12 \, q^{17} t + 57 \, q^{16} t^{2} + 3 \, q^{15} t^{3} + 44 \, q^{15} t^{2} + 69 \, q^{14} t^{3} + 3 \, q^{13} t^{4} - q^{15} t - 36 \, q^{14} t^{2} - 73 \, q^{13} t^{3} + 3 \, q^{12} t^{4} - 9 \, q^{13} t^{2} - 132 \, q^{12} t^{3} - 105 \, q^{11} t^{4} - 5 \, q^{10} t^{5} + 5 \, q^{12} t^{2} + 105 \, q^{11} t^{3} + 132 \, q^{10} t^{4} + 9 \, q^{9} t^{5} - 3 \, q^{10} t^{3} + 73 \, q^{9} t^{4} + 36 \, q^{8} t^{5} + q^{7} t^{6} - 3 \, q^{9} t^{3} - 69 \, q^{8} t^{4} - 44 \, q^{7} t^{5} - 3 \, q^{7} t^{4} - 57 \, q^{6} t^{5} - 12 \, q^{5} t^{6} + q^{6} t^{4} + 39 \, q^{5} t^{5} + 12 \, q^{4} t^{6} + q^{4} t^{5} + 15 \, q^{3} t^{6} - 9 \, q^{2} t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 2], [0, 6], [1, 2], [1, 3], [3, 4], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + 9 \, q^{17} t - 17 \, q^{16} t - 6 \, q^{15} t - q^{14} t^{2} + 12 \, q^{14} t - 31 \, q^{13} t^{2} - 3 \, q^{13} t + 72 \, q^{12} t^{2} - q^{11} t^{3} - 26 \, q^{11} t^{2} + 5 \, q^{10} t^{3} - 5 \, q^{10} t^{2} + 26 \, q^{9} t^{3} + q^{9} t^{2} - 72 \, q^{8} t^{3} + 3 \, q^{7} t^{4} + 31 \, q^{7} t^{3} - 12 \, q^{6} t^{4} + q^{6} t^{3} + 6 \, q^{5} t^{4} + 17 \, q^{4} t^{4} - 9 \, q^{3} t^{4} - t^{5}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 2], [0, 4], [0, 6], [1, 2], [1, 3], [1, 6], [2, 5], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{19} + q^{17} t + 2 \, q^{16} t - 5 \, q^{15} t - 4 \, q^{14} t^{2} - 14 \, q^{14} t - 2 \, q^{13} t^{2} + 14 \, q^{13} t + 8 \, q^{12} t^{2} + q^{11} t^{3} - 3 \, q^{12} t + 14 \, q^{11} t^{2} + 4 \, q^{10} t^{3} - q^{10} t^{2} + q^{9} t^{3} - 4 \, q^{9} t^{2} - 14 \, q^{8} t^{3} + 3 \, q^{7} t^{4} - q^{8} t^{2} - 8 \, q^{7} t^{3} - 14 \, q^{6} t^{4} + 2 \, q^{6} t^{3} + 14 \, q^{5} t^{4} + 4 \, q^{5} t^{3} + 5 \, q^{4} t^{4} - 2 \, q^{3} t^{4} - q^{2} t^{4} - t^{5}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 2], [0, 3], [1, 2], [1, 5], [1, 6], [2, 4], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + q^{15} t + 2 \, q^{14} t - 12 \, q^{13} t + 4 \, q^{12} t - 6 \, q^{11} t^{2} + q^{11} t + 9 \, q^{10} t^{2} + 9 \, q^{8} t^{2} + q^{7} t^{3} - 6 \, q^{7} t^{2} + 4 \, q^{6} t^{3} - 12 \, q^{5} t^{3} + 2 \, q^{4} t^{3} + q^{3} t^{3} + t^{4}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 15 edges: | [[0, 2], [0, 3], [0, 4], [1, 2], [1, 4], [1, 5], [1, 6], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + 8 \, q^{11} t - 18 \, q^{10} t + 6 \, q^{9} t + q^{8} t - q^{7} t^{2} - 6 \, q^{6} t^{2} + 18 \, q^{5} t^{2} - 8 \, q^{4} t^{2} - t^{3}}{{\left(q^{4} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 15 edges: | [[0, 2], [0, 3], [0, 4], [0, 6], [1, 2], [1, 3], [1, 4], [1, 5], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + 4 \, q^{11} t - 8 \, q^{10} t - 2 \, q^{9} t + 3 \, q^{8} t - 3 \, q^{7} t^{2} + 2 \, q^{6} t^{2} + 8 \, q^{5} t^{2} - 4 \, q^{4} t^{2} - t^{3}}{{\left(q^{4} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 16 edges: | [[0, 2], [0, 3], [0, 4], [0, 6], [1, 2], [1, 3], [1, 4], [1, 5], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{12} + 5 \, q^{7} t - 12 \, q^{6} t + 5 \, q^{5} t + t^{2}}{{\left(q^{5} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 18 edges: | [[0, 2], [0, 3], [0, 4], [0, 5], [0, 6], [1, 2], [1, 3], [1, 4], [1, 5], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{12} + 3 \, q^{7} t - 8 \, q^{6} t + 3 \, q^{5} t + t^{2}}{{\left(q^{5} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 19 edges: | [[0, 2], [0, 3], [0, 4], [0, 5], [0, 6], [1, 2], [1, 3], [1, 4], [1, 5], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{12} + q^{7} t - 4 \, q^{6} t + q^{5} t + t^{2}}{{\left(q^{5} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 20 edges: | [[0, 2], [0, 3], [0, 4], [0, 5], [0, 6], [1, 2], [1, 3], [1, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{11} t - 4 \, q^{10} t^{2} - 44 \, q^{9} t^{3} - 24 \, q^{8} t^{4} - q^{7} t^{5} + q^{11} + 24 \, q^{10} t + 44 \, q^{9} t^{2} + 156 \, q^{8} t^{3} + 127 \, q^{7} t^{4} + 8 \, q^{6} t^{5} - 66 \, q^{9} t - 206 \, q^{8} t^{2} - 156 \, q^{7} t^{3} - 198 \, q^{6} t^{4} - 22 \, q^{5} t^{5} + 34 \, q^{8} t + 300 \, q^{7} t^{2} + 34 \, q^{6} t^{3} - 24 \, q^{5} t^{4} + 16 \, q^{4} t^{5} + 16 \, q^{7} t - 24 \, q^{6} t^{2} + 34 \, q^{5} t^{3} + 300 \, q^{4} t^{4} + 34 \, q^{3} t^{5} - 22 \, q^{6} t - 198 \, q^{5} t^{2} - 156 \, q^{4} t^{3} - 206 \, q^{3} t^{4} - 66 \, q^{2} t^{5} + 8 \, q^{5} t + 127 \, q^{4} t^{2} + 156 \, q^{3} t^{3} + 44 \, q^{2} t^{4} + 24 \, q t^{5} + t^{6} - q^{4} t - 24 \, q^{3} t^{2} - 44 \, q^{2} t^{3} - 4 \, q t^{4} + t^{5}}{{\left(q - t\right)}^{4} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 5 edges: | [[0, 1], [2, 6], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{11} t - 4 \, q^{10} t^{2} - 14 \, q^{9} t^{3} + 4 \, q^{8} t^{4} + q^{7} t^{5} + q^{11} + 12 \, q^{10} t + 2 \, q^{9} t^{2} + 40 \, q^{8} t^{3} + 9 \, q^{7} t^{4} - 4 \, q^{6} t^{5} - 26 \, q^{9} t - 36 \, q^{8} t^{2} + 12 \, q^{7} t^{3} - 56 \, q^{6} t^{4} - 2 \, q^{5} t^{5} - 8 \, q^{8} t + 76 \, q^{7} t^{2} - 48 \, q^{6} t^{3} + 20 \, q^{5} t^{4} + 20 \, q^{4} t^{5} + 20 \, q^{7} t + 20 \, q^{6} t^{2} - 48 \, q^{5} t^{3} + 76 \, q^{4} t^{4} - 8 \, q^{3} t^{5} - 2 \, q^{6} t - 56 \, q^{5} t^{2} + 12 \, q^{4} t^{3} - 36 \, q^{3} t^{4} - 26 \, q^{2} t^{5} - 4 \, q^{5} t + 9 \, q^{4} t^{2} + 40 \, q^{3} t^{3} + 2 \, q^{2} t^{4} + 12 \, q t^{5} + t^{6} + q^{4} t + 4 \, q^{3} t^{2} - 14 \, q^{2} t^{3} - 4 \, q t^{4} + t^{5}}{{\left(q - t\right)}^{4} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 5 edges: | [[0, 1], [2, 6], [3, 6], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{10} t - 3 \, q^{9} t^{2} - 9 \, q^{8} t^{3} - q^{7} t^{4} + q^{10} + 9 \, q^{9} t + 3 \, q^{8} t^{2} + 19 \, q^{7} t^{3} + 4 \, q^{6} t^{4} - 18 \, q^{8} t - 12 \, q^{7} t^{2} + 18 \, q^{6} t^{3} - 10 \, q^{7} t + 8 \, q^{6} t^{2} - 42 \, q^{5} t^{3} - 16 \, q^{4} t^{4} + 16 \, q^{6} t + 42 \, q^{5} t^{2} - 8 \, q^{4} t^{3} + 10 \, q^{3} t^{4} - 18 \, q^{4} t^{2} + 12 \, q^{3} t^{3} + 18 \, q^{2} t^{4} - 4 \, q^{4} t - 19 \, q^{3} t^{2} - 3 \, q^{2} t^{3} - 9 \, q t^{4} - t^{5} + q^{3} t + 9 \, q^{2} t^{2} + 3 \, q t^{3} - t^{4}}{{\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 6 edges: | [[0, 1], [2, 6], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{15} t - 4 \, q^{14} t^{2} - 6 \, q^{13} t^{3} + 4 \, q^{12} t^{4} - q^{11} t^{5} + q^{15} + 8 \, q^{14} t - 8 \, q^{13} t^{2} + 32 \, q^{12} t^{3} + 19 \, q^{11} t^{4} - 12 \, q^{10} t^{5} + 2 \, q^{9} t^{6} - 16 \, q^{13} t - 26 \, q^{12} t^{2} + 15 \, q^{11} t^{3} - 96 \, q^{10} t^{4} - 2 \, q^{9} t^{5} + 4 \, q^{8} t^{6} + q^{7} t^{7} - 18 \, q^{12} t + 89 \, q^{11} t^{2} + 14 \, q^{10} t^{3} - 26 \, q^{9} t^{4} + 116 \, q^{8} t^{5} - q^{7} t^{6} - 6 \, q^{6} t^{7} + 18 \, q^{11} t + 28 \, q^{10} t^{2} - 176 \, q^{9} t^{3} + 134 \, q^{8} t^{4} - 36 \, q^{7} t^{5} - 56 \, q^{6} t^{6} + 4 \, q^{5} t^{7} + 4 \, q^{10} t - 56 \, q^{9} t^{2} - 36 \, q^{8} t^{3} + 134 \, q^{7} t^{4} - 176 \, q^{6} t^{5} + 28 \, q^{5} t^{6} + 18 \, q^{4} t^{7} - 6 \, q^{9} t - q^{8} t^{2} + 116 \, q^{7} t^{3} - 26 \, q^{6} t^{4} + 14 \, q^{5} t^{5} + 89 \, q^{4} t^{6} - 18 \, q^{3} t^{7} + q^{8} t + 4 \, q^{7} t^{2} - 2 \, q^{6} t^{3} - 96 \, q^{5} t^{4} + 15 \, q^{4} t^{5} - 26 \, q^{3} t^{6} - 16 \, q^{2} t^{7} + 2 \, q^{6} t^{2} - 12 \, q^{5} t^{3} + 19 \, q^{4} t^{4} + 32 \, q^{3} t^{5} - 8 \, q^{2} t^{6} + 8 \, q t^{7} + t^{8} - q^{4} t^{3} + 4 \, q^{3} t^{4} - 6 \, q^{2} t^{5} - 4 \, q t^{6} + t^{7}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{4} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 5 edges: | [[0, 1], [2, 6], [3, 5], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{14} t - 3 \, q^{13} t^{2} - 3 \, q^{12} t^{3} + q^{11} t^{4} + q^{14} + 5 \, q^{13} t - 5 \, q^{12} t^{2} + 11 \, q^{11} t^{3} + 10 \, q^{10} t^{4} - 2 \, q^{9} t^{5} - 8 \, q^{12} t - 8 \, q^{11} t^{2} + 17 \, q^{10} t^{3} - 27 \, q^{9} t^{4} - 5 \, q^{8} t^{5} - q^{7} t^{6} - 20 \, q^{11} t + 27 \, q^{10} t^{2} + 5 \, q^{9} t^{3} - 37 \, q^{8} t^{4} + 19 \, q^{7} t^{5} + 6 \, q^{6} t^{6} + 14 \, q^{10} t + 44 \, q^{9} t^{2} - 68 \, q^{8} t^{3} + 50 \, q^{7} t^{4} + 22 \, q^{6} t^{5} - 6 \, q^{5} t^{6} + 6 \, q^{9} t - 22 \, q^{8} t^{2} - 50 \, q^{7} t^{3} + 68 \, q^{6} t^{4} - 44 \, q^{5} t^{5} - 14 \, q^{4} t^{6} - 6 \, q^{8} t - 19 \, q^{7} t^{2} + 37 \, q^{6} t^{3} - 5 \, q^{5} t^{4} - 27 \, q^{4} t^{5} + 20 \, q^{3} t^{6} + q^{7} t + 5 \, q^{6} t^{2} + 27 \, q^{5} t^{3} - 17 \, q^{4} t^{4} + 8 \, q^{3} t^{5} + 8 \, q^{2} t^{6} + 2 \, q^{5} t^{2} - 10 \, q^{4} t^{3} - 11 \, q^{3} t^{4} + 5 \, q^{2} t^{5} - 5 \, q t^{6} - t^{7} - q^{3} t^{3} + 3 \, q^{2} t^{4} + 3 \, q t^{5} - t^{6}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 6 edges: | [[0, 1], [2, 6], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{15} t - 2 \, q^{14} t^{2} - q^{13} t^{3} + q^{15} + 2 \, q^{14} t - 4 \, q^{13} t^{2} + 2 \, q^{12} t^{3} + 3 \, q^{11} t^{4} + 3 \, q^{13} t - 8 \, q^{12} t^{2} + 18 \, q^{11} t^{3} + 10 \, q^{10} t^{4} - 5 \, q^{9} t^{5} - 30 \, q^{12} t + 7 \, q^{11} t^{2} + 8 \, q^{10} t^{3} - 58 \, q^{9} t^{4} + 2 \, q^{8} t^{5} - q^{7} t^{6} + 12 \, q^{11} t + 60 \, q^{10} t^{2} - 17 \, q^{9} t^{3} - 2 \, q^{8} t^{4} + 23 \, q^{7} t^{5} + 8 \, q^{6} t^{6} + 12 \, q^{10} t - 12 \, q^{9} t^{2} - 92 \, q^{8} t^{3} + 92 \, q^{7} t^{4} + 12 \, q^{6} t^{5} - 12 \, q^{5} t^{6} - 8 \, q^{9} t - 23 \, q^{8} t^{2} + 2 \, q^{7} t^{3} + 17 \, q^{6} t^{4} - 60 \, q^{5} t^{5} - 12 \, q^{4} t^{6} + q^{8} t - 2 \, q^{7} t^{2} + 58 \, q^{6} t^{3} - 8 \, q^{5} t^{4} - 7 \, q^{4} t^{5} + 30 \, q^{3} t^{6} + 5 \, q^{6} t^{2} - 10 \, q^{5} t^{3} - 18 \, q^{4} t^{4} + 8 \, q^{3} t^{5} - 3 \, q^{2} t^{6} - 3 \, q^{4} t^{3} - 2 \, q^{3} t^{4} + 4 \, q^{2} t^{5} - 2 \, q t^{6} - t^{7} + q^{2} t^{4} + 2 \, q t^{5} - t^{6}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 6 edges: | [[0, 1], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{15} t - 2 \, q^{14} t^{2} - q^{13} t^{3} + q^{15} + 2 \, q^{14} t - 4 \, q^{13} t^{2} + 4 \, q^{12} t^{3} + 3 \, q^{11} t^{4} - q^{13} t - 6 \, q^{12} t^{2} + 14 \, q^{11} t^{3} + 4 \, q^{10} t^{4} - 5 \, q^{9} t^{5} - 22 \, q^{12} t + 17 \, q^{11} t^{2} - 46 \, q^{9} t^{4} + 8 \, q^{8} t^{5} - q^{7} t^{6} + 10 \, q^{11} t + 34 \, q^{10} t^{2} - 15 \, q^{9} t^{3} + 10 \, q^{8} t^{4} + 11 \, q^{7} t^{5} + 6 \, q^{6} t^{6} + 8 \, q^{10} t - 4 \, q^{9} t^{2} - 66 \, q^{8} t^{3} + 66 \, q^{7} t^{4} + 4 \, q^{6} t^{5} - 8 \, q^{5} t^{6} - 6 \, q^{9} t - 11 \, q^{8} t^{2} - 10 \, q^{7} t^{3} + 15 \, q^{6} t^{4} - 34 \, q^{5} t^{5} - 10 \, q^{4} t^{6} + q^{8} t - 8 \, q^{7} t^{2} + 46 \, q^{6} t^{3} - 17 \, q^{4} t^{5} + 22 \, q^{3} t^{6} + 5 \, q^{6} t^{2} - 4 \, q^{5} t^{3} - 14 \, q^{4} t^{4} + 6 \, q^{3} t^{5} + q^{2} t^{6} - 3 \, q^{4} t^{3} - 4 \, q^{3} t^{4} + 4 \, q^{2} t^{5} - 2 \, q t^{6} - t^{7} + q^{2} t^{4} + 2 \, q t^{5} - t^{6}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[0, 1], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{19} t + q^{19} - 3 \, q^{17} t^{2} + 7 \, q^{17} t - 2 \, q^{16} t^{2} - 9 \, q^{15} t^{3} - 22 \, q^{16} t + 3 \, q^{15} t^{2} + 36 \, q^{14} t^{3} - q^{13} t^{4} - 2 \, q^{15} t - 34 \, q^{14} t^{2} - 14 \, q^{13} t^{3} + 24 \, q^{12} t^{4} + 12 \, q^{14} t + 99 \, q^{13} t^{2} - 8 \, q^{12} t^{3} - 67 \, q^{11} t^{4} + 2 \, q^{10} t^{5} - 2 \, q^{13} t - 3 \, q^{12} t^{2} - 3 \, q^{11} t^{3} - 2 \, q^{10} t^{4} - 27 \, q^{9} t^{5} - q^{12} t - 64 \, q^{11} t^{2} - 83 \, q^{10} t^{3} + 83 \, q^{9} t^{4} + 64 \, q^{8} t^{5} + q^{7} t^{6} + 27 \, q^{10} t^{2} + 2 \, q^{9} t^{3} + 3 \, q^{8} t^{4} + 3 \, q^{7} t^{5} + 2 \, q^{6} t^{6} - 2 \, q^{9} t^{2} + 67 \, q^{8} t^{3} + 8 \, q^{7} t^{4} - 99 \, q^{6} t^{5} - 12 \, q^{5} t^{6} - 24 \, q^{7} t^{3} + 14 \, q^{6} t^{4} + 34 \, q^{5} t^{5} + 2 \, q^{4} t^{6} + q^{6} t^{3} - 36 \, q^{5} t^{4} - 3 \, q^{4} t^{5} + 22 \, q^{3} t^{6} + 9 \, q^{4} t^{4} + 2 \, q^{3} t^{5} - 7 \, q^{2} t^{6} + 3 \, q^{2} t^{5} - t^{7} - t^{6}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[0, 1], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{13} t + q^{13} - 3 \, q^{11} t^{2} + 7 \, q^{11} t - 9 \, q^{9} t^{3} - 24 \, q^{10} t + 3 \, q^{9} t^{2} + 30 \, q^{8} t^{3} - q^{7} t^{4} + 6 \, q^{9} t - 6 \, q^{8} t^{2} - 13 \, q^{7} t^{3} + 6 \, q^{6} t^{4} + 10 \, q^{8} t + 24 \, q^{7} t^{2} - 24 \, q^{6} t^{3} - 10 \, q^{5} t^{4} - 6 \, q^{7} t + 13 \, q^{6} t^{2} + 6 \, q^{5} t^{3} - 6 \, q^{4} t^{4} + q^{6} t - 30 \, q^{5} t^{2} - 3 \, q^{4} t^{3} + 24 \, q^{3} t^{4} + 9 \, q^{4} t^{2} - 7 \, q^{2} t^{4} + 3 \, q^{2} t^{3} - t^{5} - t^{4}}{{\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 1], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + q^{13} t + 9 \, q^{12} t - 3 \, q^{11} t^{2} - 24 \, q^{11} t + 3 \, q^{10} t^{2} - 9 \, q^{9} t^{3} + 2 \, q^{10} t - 24 \, q^{9} t^{2} + 29 \, q^{8} t^{3} - q^{7} t^{4} + 12 \, q^{9} t + 54 \, q^{8} t^{2} + 6 \, q^{6} t^{4} - 6 \, q^{8} t - 54 \, q^{6} t^{3} - 12 \, q^{5} t^{4} + q^{7} t - 29 \, q^{6} t^{2} + 24 \, q^{5} t^{3} - 2 \, q^{4} t^{4} + 9 \, q^{5} t^{2} - 3 \, q^{4} t^{3} + 24 \, q^{3} t^{4} + 3 \, q^{3} t^{3} - 9 \, q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 1], [0, 6], [1, 6], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + q^{13} t + 9 \, q^{12} t - 3 \, q^{11} t^{2} - 26 \, q^{11} t + 3 \, q^{10} t^{2} - 9 \, q^{9} t^{3} + 6 \, q^{10} t - 18 \, q^{9} t^{2} + 29 \, q^{8} t^{3} - q^{7} t^{4} + 10 \, q^{9} t + 42 \, q^{8} t^{2} - 6 \, q^{7} t^{3} + 6 \, q^{6} t^{4} - 6 \, q^{8} t + 6 \, q^{7} t^{2} - 42 \, q^{6} t^{3} - 10 \, q^{5} t^{4} + q^{7} t - 29 \, q^{6} t^{2} + 18 \, q^{5} t^{3} - 6 \, q^{4} t^{4} + 9 \, q^{5} t^{2} - 3 \, q^{4} t^{3} + 26 \, q^{3} t^{4} + 3 \, q^{3} t^{3} - 9 \, q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 1], [0, 6], [1, 6], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{23} + 14 \, q^{21} t - 32 \, q^{20} t + 16 \, q^{19} t^{2} + 10 \, q^{19} t - 98 \, q^{18} t^{2} - 6 \, q^{17} t^{3} + 126 \, q^{17} t^{2} + 4 \, q^{16} t^{3} - q^{15} t^{4} + 2 \, q^{17} t + 16 \, q^{16} t^{2} + 56 \, q^{15} t^{3} + 6 \, q^{14} t^{4} - q^{16} t - 41 \, q^{15} t^{2} + 6 \, q^{14} t^{3} - 2 \, q^{13} t^{4} - 6 \, q^{14} t^{2} - 204 \, q^{13} t^{3} - 12 \, q^{12} t^{4} + 2 \, q^{11} t^{5} + 10 \, q^{13} t^{2} + 100 \, q^{12} t^{3} - 100 \, q^{11} t^{4} - 10 \, q^{10} t^{5} - 2 \, q^{12} t^{2} + 12 \, q^{11} t^{3} + 204 \, q^{10} t^{4} + 6 \, q^{9} t^{5} + 2 \, q^{10} t^{3} - 6 \, q^{9} t^{4} + 41 \, q^{8} t^{5} + q^{7} t^{6} - 6 \, q^{9} t^{3} - 56 \, q^{8} t^{4} - 16 \, q^{7} t^{5} - 2 \, q^{6} t^{6} + q^{8} t^{3} - 4 \, q^{7} t^{4} - 126 \, q^{6} t^{5} + 6 \, q^{6} t^{4} + 98 \, q^{5} t^{5} - 10 \, q^{4} t^{6} - 16 \, q^{4} t^{5} + 32 \, q^{3} t^{6} - 14 \, q^{2} t^{6} - t^{7}}{{\left(q^{4} - t\right)}^{2} {\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 1], [0, 6], [1, 5], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + 14 \, q^{13} t - 32 \, q^{12} t + 16 \, q^{11} t^{2} + 8 \, q^{11} t - 98 \, q^{10} t^{2} - 6 \, q^{9} t^{3} + 10 \, q^{10} t + 166 \, q^{9} t^{2} + 4 \, q^{8} t^{3} - q^{7} t^{4} - 6 \, q^{9} t - 76 \, q^{8} t^{2} + 76 \, q^{7} t^{3} + 6 \, q^{6} t^{4} + q^{8} t - 4 \, q^{7} t^{2} - 166 \, q^{6} t^{3} - 10 \, q^{5} t^{4} + 6 \, q^{6} t^{2} + 98 \, q^{5} t^{3} - 8 \, q^{4} t^{4} - 16 \, q^{4} t^{3} + 32 \, q^{3} t^{4} - 14 \, q^{2} t^{4} - t^{5}}{{\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 1], [0, 6], [1, 5], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{9} t - 2 \, q^{8} t^{2} - q^{7} t^{3} + q^{9} + 2 \, q^{8} t - q^{7} t^{2} + 2 \, q^{6} t^{3} - 6 \, q^{7} t + 4 \, q^{6} t^{2} + 2 \, q^{5} t^{3} - 2 \, q^{6} t + 2 \, q^{5} t^{2} - 2 \, q^{4} t^{3} - 2 \, q^{5} t + 2 \, q^{4} t^{2} - 2 \, q^{3} t^{3} + 2 \, q^{4} t + 4 \, q^{3} t^{2} - 6 \, q^{2} t^{3} + 2 \, q^{3} t - q^{2} t^{2} + 2 \, q t^{3} + t^{4} - q^{2} t - 2 \, q t^{2} + t^{3}}{{\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 1], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{9} t - 2 \, q^{8} t^{2} - q^{7} t^{3} + q^{9} + 2 \, q^{8} t - q^{7} t^{2} - 2 \, q^{7} t + 2 \, q^{6} t^{2} + 6 \, q^{5} t^{3} - 10 \, q^{6} t + 4 \, q^{5} t^{2} + 4 \, q^{4} t^{2} - 10 \, q^{3} t^{3} + 6 \, q^{4} t + 2 \, q^{3} t^{2} - 2 \, q^{2} t^{3} - q^{2} t^{2} + 2 \, q t^{3} + t^{4} - q^{2} t - 2 \, q t^{2} + t^{3}}{{\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[0, 1], [2, 5], [2, 6], [3, 4], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{13} t + q^{13} - 3 \, q^{11} t^{2} + 15 \, q^{11} t - 17 \, q^{9} t^{3} - 40 \, q^{10} t - q^{9} t^{2} + 50 \, q^{8} t^{3} - q^{7} t^{4} + 10 \, q^{9} t - 10 \, q^{8} t^{2} - 17 \, q^{7} t^{3} + 10 \, q^{6} t^{4} + 18 \, q^{8} t + 40 \, q^{7} t^{2} - 40 \, q^{6} t^{3} - 18 \, q^{5} t^{4} - 10 \, q^{7} t + 17 \, q^{6} t^{2} + 10 \, q^{5} t^{3} - 10 \, q^{4} t^{4} + q^{6} t - 50 \, q^{5} t^{2} + q^{4} t^{3} + 40 \, q^{3} t^{4} + 17 \, q^{4} t^{2} - 15 \, q^{2} t^{4} + 3 \, q^{2} t^{3} - t^{5} - t^{4}}{{\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 6 edges: | [[0, 1], [2, 5], [2, 6], [3, 4], [3, 6], [4, 5]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{13} t + q^{13} - 3 \, q^{11} t^{2} + 3 \, q^{11} t - 3 \, q^{9} t^{3} - 12 \, q^{10} t - q^{9} t^{2} + 12 \, q^{8} t^{3} + q^{7} t^{4} - 4 \, q^{9} t + 6 \, q^{8} t^{2} + q^{7} t^{3} + 8 \, q^{8} t + 18 \, q^{7} t^{2} - 18 \, q^{6} t^{3} - 8 \, q^{5} t^{4} - q^{6} t^{2} - 6 \, q^{5} t^{3} + 4 \, q^{4} t^{4} - q^{6} t - 12 \, q^{5} t^{2} + q^{4} t^{3} + 12 \, q^{3} t^{4} + 3 \, q^{4} t^{2} - 3 \, q^{2} t^{4} + 3 \, q^{2} t^{3} - t^{5} - t^{4}}{{\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 1], [2, 5], [2, 6], [3, 4], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + q^{13} t + 5 \, q^{12} t - 3 \, q^{11} t^{2} - 14 \, q^{11} t - 3 \, q^{10} t^{2} - 3 \, q^{9} t^{3} - 4 \, q^{10} t + 2 \, q^{9} t^{2} + 13 \, q^{8} t^{3} + q^{7} t^{4} + 8 \, q^{9} t + 24 \, q^{8} t^{2} - 24 \, q^{6} t^{3} - 8 \, q^{5} t^{4} - q^{7} t - 13 \, q^{6} t^{2} - 2 \, q^{5} t^{3} + 4 \, q^{4} t^{4} + 3 \, q^{5} t^{2} + 3 \, q^{4} t^{3} + 14 \, q^{3} t^{4} + 3 \, q^{3} t^{3} - 5 \, q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 1], [0, 6], [1, 6], [2, 5], [2, 6], [3, 4], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{17} t + q^{17} - 2 \, q^{15} t^{2} - 2 \, q^{14} t^{2} - q^{13} t^{3} - 2 \, q^{14} t + q^{13} t^{2} + 6 \, q^{12} t^{3} - 14 \, q^{13} t - 6 \, q^{12} t^{2} + 3 \, q^{11} t^{3} + 2 \, q^{10} t^{4} + 6 \, q^{12} t + 31 \, q^{11} t^{2} + 4 \, q^{10} t^{3} - 2 \, q^{9} t^{4} + 6 \, q^{11} t + 11 \, q^{10} t^{2} - 22 \, q^{9} t^{3} - 18 \, q^{8} t^{4} - 3 \, q^{7} t^{5} - 3 \, q^{10} t - 18 \, q^{9} t^{2} - 22 \, q^{8} t^{3} + 11 \, q^{7} t^{4} + 6 \, q^{6} t^{5} - 2 \, q^{8} t^{2} + 4 \, q^{7} t^{3} + 31 \, q^{6} t^{4} + 6 \, q^{5} t^{5} + 2 \, q^{7} t^{2} + 3 \, q^{6} t^{3} - 6 \, q^{5} t^{4} - 14 \, q^{4} t^{5} + 6 \, q^{5} t^{3} + q^{4} t^{4} - 2 \, q^{3} t^{5} - q^{4} t^{3} - 2 \, q^{3} t^{4} - 2 \, q^{2} t^{4} + t^{6} + t^{5}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 1], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{11} t + q^{11} - 2 \, q^{9} t^{2} - q^{7} t^{3} - 4 \, q^{8} t + q^{7} t^{2} + 2 \, q^{6} t^{3} - 6 \, q^{7} t + 4 \, q^{6} t^{2} + 4 \, q^{5} t^{3} + 4 \, q^{6} t + 4 \, q^{5} t^{2} - 6 \, q^{4} t^{3} + 2 \, q^{5} t + q^{4} t^{2} - 4 \, q^{3} t^{3} - q^{4} t - 2 \, q^{2} t^{2} + t^{4} + t^{3}}{{\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 1], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + q^{13} t + 3 \, q^{12} t - 3 \, q^{11} t^{2} - 10 \, q^{11} t - 3 \, q^{10} t^{2} - q^{9} t^{3} - 4 \, q^{10} t + 4 \, q^{9} t^{2} + 9 \, q^{8} t^{3} + q^{7} t^{4} + 4 \, q^{9} t + 20 \, q^{8} t^{2} - 2 \, q^{6} t^{4} + 2 \, q^{8} t - 20 \, q^{6} t^{3} - 4 \, q^{5} t^{4} - q^{7} t - 9 \, q^{6} t^{2} - 4 \, q^{5} t^{3} + 4 \, q^{4} t^{4} + q^{5} t^{2} + 3 \, q^{4} t^{3} + 10 \, q^{3} t^{4} + 3 \, q^{3} t^{3} - 3 \, q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 1], [0, 6], [1, 6], [2, 5], [2, 6], [3, 4], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{12} + q^{11} t + 2 \, q^{10} t - 2 \, q^{9} t^{2} - 6 \, q^{9} t - q^{8} t^{2} - q^{7} t^{3} - 6 \, q^{8} t + 4 \, q^{7} t^{2} + 2 \, q^{6} t^{3} + 4 \, q^{7} t + 4 \, q^{6} t^{2} + 4 \, q^{5} t^{3} + 2 \, q^{6} t + 4 \, q^{5} t^{2} - 6 \, q^{4} t^{3} - q^{5} t - q^{4} t^{2} - 6 \, q^{3} t^{3} - 2 \, q^{3} t^{2} + 2 \, q^{2} t^{3} + q t^{3} + t^{4}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 1], [0, 6], [1, 6], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + 8 \, q^{13} t - 14 \, q^{12} t - 2 \, q^{11} t^{2} - 8 \, q^{11} t - 24 \, q^{10} t^{2} - 4 \, q^{9} t^{3} + 10 \, q^{10} t + 54 \, q^{9} t^{2} + 18 \, q^{8} t^{3} + q^{7} t^{4} - 4 \, q^{8} t^{2} + 4 \, q^{7} t^{3} - q^{8} t - 18 \, q^{7} t^{2} - 54 \, q^{6} t^{3} - 10 \, q^{5} t^{4} + 4 \, q^{6} t^{2} + 24 \, q^{5} t^{3} + 8 \, q^{4} t^{4} + 2 \, q^{4} t^{3} + 14 \, q^{3} t^{4} - 8 \, q^{2} t^{4} - t^{5}}{{\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 1], [0, 6], [1, 5], [2, 5], [2, 6], [3, 4], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{21} + 7 \, q^{19} t - 12 \, q^{18} t + q^{17} t^{2} - 2 \, q^{17} t - 14 \, q^{16} t^{2} - q^{15} t^{3} - 6 \, q^{16} t - 6 \, q^{15} t^{2} + 2 \, q^{14} t^{3} + 10 \, q^{15} t + 58 \, q^{14} t^{2} + 6 \, q^{13} t^{3} - 3 \, q^{14} t - 19 \, q^{13} t^{2} + 18 \, q^{12} t^{3} + 2 \, q^{11} t^{4} - q^{12} t^{2} - 35 \, q^{11} t^{3} - 6 \, q^{10} t^{4} - 6 \, q^{11} t^{2} - 35 \, q^{10} t^{3} - q^{9} t^{4} + 2 \, q^{10} t^{2} + 18 \, q^{9} t^{3} - 19 \, q^{8} t^{4} - 3 \, q^{7} t^{5} + 6 \, q^{8} t^{3} + 58 \, q^{7} t^{4} + 10 \, q^{6} t^{5} + 2 \, q^{7} t^{3} - 6 \, q^{6} t^{4} - 6 \, q^{5} t^{5} - q^{6} t^{3} - 14 \, q^{5} t^{4} - 2 \, q^{4} t^{5} + q^{4} t^{4} - 12 \, q^{3} t^{5} + 7 \, q^{2} t^{5} + t^{6}}{{\left(q^{4} - t\right)}^{2} {\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 1], [0, 6], [1, 5], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{13} + 7 \, q^{11} t - 12 \, q^{10} t + q^{9} t^{2} - 4 \, q^{9} t - 14 \, q^{8} t^{2} - q^{7} t^{3} + 4 \, q^{8} t + 16 \, q^{7} t^{2} + 2 \, q^{6} t^{3} + 2 \, q^{7} t + 16 \, q^{6} t^{2} + 4 \, q^{5} t^{3} - q^{6} t - 14 \, q^{5} t^{2} - 4 \, q^{4} t^{3} + q^{4} t^{2} - 12 \, q^{3} t^{3} + 7 \, q^{2} t^{3} + t^{4}}{{\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 1], [0, 6], [1, 5], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{9} t - 2 \, q^{8} t^{2} - q^{7} t^{3} + q^{9} + 2 \, q^{8} t - q^{7} t^{2} - 2 \, q^{7} t + 2 \, q^{6} t^{2} + 6 \, q^{5} t^{3} - 10 \, q^{6} t + 4 \, q^{5} t^{2} + 4 \, q^{4} t^{2} - 10 \, q^{3} t^{3} + 6 \, q^{4} t + 2 \, q^{3} t^{2} - 2 \, q^{2} t^{3} - q^{2} t^{2} + 2 \, q t^{3} + t^{4} - q^{2} t - 2 \, q t^{2} + t^{3}}{{\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[0, 1], [2, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + q^{13} t + 5 \, q^{12} t - 3 \, q^{11} t^{2} - 14 \, q^{11} t - 5 \, q^{10} t^{2} - q^{9} t^{3} - 2 \, q^{10} t + 4 \, q^{9} t^{2} + 9 \, q^{8} t^{3} + q^{7} t^{4} + 4 \, q^{9} t + 26 \, q^{8} t^{2} + 4 \, q^{7} t^{3} - 2 \, q^{6} t^{4} + 2 \, q^{8} t - 4 \, q^{7} t^{2} - 26 \, q^{6} t^{3} - 4 \, q^{5} t^{4} - q^{7} t - 9 \, q^{6} t^{2} - 4 \, q^{5} t^{3} + 2 \, q^{4} t^{4} + q^{5} t^{2} + 5 \, q^{4} t^{3} + 14 \, q^{3} t^{4} + 3 \, q^{3} t^{3} - 5 \, q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 1], [0, 6], [1, 6], [2, 4], [2, 6], [3, 4], [3, 5], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{13} t + q^{13} - 2 \, q^{11} t - 2 \, q^{10} t^{2} + 6 \, q^{10} t - 16 \, q^{9} t - 3 \, q^{7} t^{3} + 2 \, q^{8} t + 5 \, q^{7} t^{2} + 8 \, q^{6} t^{3} + 8 \, q^{7} t + 5 \, q^{6} t^{2} + 2 \, q^{5} t^{3} - 3 \, q^{6} t - 16 \, q^{4} t^{3} + 6 \, q^{3} t^{3} - 2 \, q^{3} t^{2} - 2 \, q^{2} t^{3} + t^{4} + t^{3}}{{\left(q^{3} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 1], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + 2 \, q^{14} t - q^{13} t^{2} - 4 \, q^{13} t + 6 \, q^{12} t - 2 \, q^{11} t^{2} + 2 \, q^{10} t^{3} - 16 \, q^{11} t - 8 \, q^{10} t^{2} + 2 \, q^{10} t + 37 \, q^{9} t^{2} - 6 \, q^{8} t^{3} + 3 \, q^{7} t^{4} + 8 \, q^{9} t - 20 \, q^{8} t^{2} + 20 \, q^{7} t^{3} - 8 \, q^{6} t^{4} - 3 \, q^{8} t + 6 \, q^{7} t^{2} - 37 \, q^{6} t^{3} - 2 \, q^{5} t^{4} + 8 \, q^{5} t^{3} + 16 \, q^{4} t^{4} - 2 \, q^{5} t^{2} + 2 \, q^{4} t^{3} - 6 \, q^{3} t^{4} + 4 \, q^{2} t^{4} + q^{2} t^{3} - 2 \, q t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{2} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 1], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + q^{17} t + 4 \, q^{16} t - 2 \, q^{15} t^{2} - 10 \, q^{15} t - q^{14} t^{2} - q^{13} t^{3} - 6 \, q^{14} t - 24 \, q^{13} t^{2} + 8 \, q^{12} t^{3} + 61 \, q^{12} t^{2} - q^{11} t^{3} + 2 \, q^{10} t^{4} + 8 \, q^{12} t - 8 \, q^{11} t^{2} + 26 \, q^{10} t^{3} - 6 \, q^{9} t^{4} - 3 \, q^{11} t - 7 \, q^{10} t^{2} - 84 \, q^{9} t^{3} - 7 \, q^{8} t^{4} - 3 \, q^{7} t^{5} - 6 \, q^{9} t^{2} + 26 \, q^{8} t^{3} - 8 \, q^{7} t^{4} + 8 \, q^{6} t^{5} + 2 \, q^{8} t^{2} - q^{7} t^{3} + 61 \, q^{6} t^{4} + 8 \, q^{6} t^{3} - 24 \, q^{5} t^{4} - 6 \, q^{4} t^{5} - q^{5} t^{3} - q^{4} t^{4} - 10 \, q^{3} t^{5} - 2 \, q^{3} t^{4} + 4 \, q^{2} t^{5} + q t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 1], [0, 6], [1, 6], [2, 4], [2, 5], [3, 4], [3, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + q^{13} t + 4 \, q^{11} t - 2 \, q^{10} t^{2} - 16 \, q^{10} t + 2 \, q^{9} t - 3 \, q^{8} t^{2} - 3 \, q^{7} t^{3} + 8 \, q^{8} t + 16 \, q^{7} t^{2} + 8 \, q^{6} t^{3} - 3 \, q^{7} t - 3 \, q^{6} t^{2} + 2 \, q^{5} t^{3} - 16 \, q^{4} t^{3} - 2 \, q^{4} t^{2} + 4 \, q^{3} t^{3} + q t^{3} + t^{4}}{{\left(q^{3} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 1], [0, 6], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{13} t + q^{13} - 2 \, q^{11} t - 2 \, q^{10} t^{2} + 2 \, q^{10} t - 8 \, q^{9} t + 2 \, q^{8} t^{2} - q^{7} t^{3} + 3 \, q^{7} t^{2} + 4 \, q^{6} t^{3} + 4 \, q^{7} t + 3 \, q^{6} t^{2} - q^{6} t + 2 \, q^{5} t^{2} - 8 \, q^{4} t^{3} + 2 \, q^{3} t^{3} - 2 \, q^{3} t^{2} - 2 \, q^{2} t^{3} + t^{4} + t^{3}}{{\left(q^{3} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 1], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + 2 \, q^{14} t - q^{13} t^{2} - 4 \, q^{13} t + 2 \, q^{12} t - 2 \, q^{11} t^{2} + 2 \, q^{10} t^{3} - 8 \, q^{11} t + 19 \, q^{9} t^{2} - 4 \, q^{8} t^{3} + q^{7} t^{4} + 4 \, q^{9} t - 8 \, q^{8} t^{2} + 8 \, q^{7} t^{3} - 4 \, q^{6} t^{4} - q^{8} t + 4 \, q^{7} t^{2} - 19 \, q^{6} t^{3} + 8 \, q^{4} t^{4} - 2 \, q^{5} t^{2} + 2 \, q^{4} t^{3} - 2 \, q^{3} t^{4} + 4 \, q^{2} t^{4} + q^{2} t^{3} - 2 \, q t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{2} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 1], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{11} + q^{10} t + 2 \, q^{9} t - 3 \, q^{8} t + q^{7} t^{2} - 6 \, q^{7} t - 4 \, q^{6} t^{2} + 4 \, q^{5} t + 6 \, q^{4} t^{2} - q^{4} t + 3 \, q^{3} t^{2} - 2 \, q^{2} t^{2} - q t^{2} - t^{3}}{{\left(q^{3} - t\right)} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 1], [0, 6], [1, 6], [2, 4], [2, 5], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + q^{13} t - 2 \, q^{10} t^{2} - 8 \, q^{10} t + q^{8} t^{2} - q^{7} t^{3} + 4 \, q^{8} t + 8 \, q^{7} t^{2} + 4 \, q^{6} t^{3} - q^{7} t + q^{6} t^{2} - 8 \, q^{4} t^{3} - 2 \, q^{4} t^{2} + q t^{3} + t^{4}}{{\left(q^{3} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 1], [0, 6], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{25} + 8 \, q^{23} t - 12 \, q^{22} t - 2 \, q^{21} t^{2} - 19 \, q^{21} t - 46 \, q^{20} t^{2} + 18 \, q^{20} t + 81 \, q^{19} t^{2} - 4 \, q^{18} t^{3} + q^{17} t^{4} - 2 \, q^{19} t + 28 \, q^{18} t^{2} + 146 \, q^{17} t^{3} + 10 \, q^{16} t^{4} - q^{18} t - 16 \, q^{17} t^{2} - 240 \, q^{16} t^{3} - 52 \, q^{15} t^{4} - 4 \, q^{14} t^{5} - 30 \, q^{16} t^{2} - 25 \, q^{15} t^{3} - 54 \, q^{14} t^{4} + 5 \, q^{13} t^{5} + 14 \, q^{15} t^{2} + 56 \, q^{14} t^{3} + 130 \, q^{13} t^{4} + 10 \, q^{12} t^{5} - q^{11} t^{6} - q^{14} t^{2} + 10 \, q^{13} t^{3} + 130 \, q^{12} t^{4} + 56 \, q^{11} t^{5} + 14 \, q^{10} t^{6} + 5 \, q^{12} t^{3} - 54 \, q^{11} t^{4} - 25 \, q^{10} t^{5} - 30 \, q^{9} t^{6} - 4 \, q^{11} t^{3} - 52 \, q^{10} t^{4} - 240 \, q^{9} t^{5} - 16 \, q^{8} t^{6} - q^{7} t^{7} + 10 \, q^{9} t^{4} + 146 \, q^{8} t^{5} + 28 \, q^{7} t^{6} - 2 \, q^{6} t^{7} + q^{8} t^{4} - 4 \, q^{7} t^{5} + 81 \, q^{6} t^{6} + 18 \, q^{5} t^{7} - 46 \, q^{5} t^{6} - 19 \, q^{4} t^{7} - 2 \, q^{4} t^{6} - 12 \, q^{3} t^{7} + 8 \, q^{2} t^{7} + t^{8}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 1], [0, 6], [1, 5], [2, 4], [2, 6], [3, 4], [3, 6], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{25} + 4 \, q^{23} t - 6 \, q^{22} t - q^{21} t^{2} - 4 \, q^{21} t - 4 \, q^{20} t^{2} - 10 \, q^{20} t - 19 \, q^{19} t^{2} + 2 \, q^{18} t^{3} + 12 \, q^{19} t + 54 \, q^{18} t^{2} - 2 \, q^{17} t^{3} - 3 \, q^{18} t + 5 \, q^{17} t^{2} + 40 \, q^{16} t^{3} + q^{15} t^{4} - 8 \, q^{16} t^{2} - 40 \, q^{15} t^{3} - 8 \, q^{14} t^{4} - 8 \, q^{15} t^{2} - 75 \, q^{14} t^{3} + q^{13} t^{4} + 2 \, q^{14} t^{2} + 34 \, q^{13} t^{3} - 34 \, q^{12} t^{4} - 2 \, q^{11} t^{5} - q^{12} t^{3} + 75 \, q^{11} t^{4} + 8 \, q^{10} t^{5} + 8 \, q^{11} t^{3} + 40 \, q^{10} t^{4} + 8 \, q^{9} t^{5} - q^{10} t^{3} - 40 \, q^{9} t^{4} - 5 \, q^{8} t^{5} + 3 \, q^{7} t^{6} + 2 \, q^{8} t^{4} - 54 \, q^{7} t^{5} - 12 \, q^{6} t^{6} - 2 \, q^{7} t^{4} + 19 \, q^{6} t^{5} + 10 \, q^{5} t^{6} + 4 \, q^{5} t^{5} + 4 \, q^{4} t^{6} + q^{4} t^{5} + 6 \, q^{3} t^{6} - 4 \, q^{2} t^{6} - t^{7}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 1], [0, 6], [1, 5], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 4 \, q^{15} t - 6 \, q^{14} t - q^{13} t^{2} - 6 \, q^{13} t - 4 \, q^{12} t^{2} - 7 \, q^{11} t^{2} + 2 \, q^{10} t^{3} + 4 \, q^{11} t + 42 \, q^{10} t^{2} - 4 \, q^{9} t^{3} - q^{10} t - 22 \, q^{9} t^{2} + 22 \, q^{8} t^{3} + q^{7} t^{4} + 4 \, q^{8} t^{2} - 42 \, q^{7} t^{3} - 4 \, q^{6} t^{4} - 2 \, q^{7} t^{2} + 7 \, q^{6} t^{3} + 4 \, q^{5} t^{3} + 6 \, q^{4} t^{4} + q^{4} t^{3} + 6 \, q^{3} t^{4} - 4 \, q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 1], [0, 6], [1, 5], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + q^{18} t + 2 \, q^{17} t - 10 \, q^{16} t - 2 \, q^{15} t^{2} + q^{15} t - q^{14} t^{2} + 3 \, q^{13} t^{2} - q^{12} t^{3} + q^{13} t + 4 \, q^{12} t^{2} + 4 \, q^{11} t^{3} + 15 \, q^{11} t^{2} + 6 \, q^{10} t^{3} - 6 \, q^{10} t^{2} - 15 \, q^{9} t^{3} - 4 \, q^{9} t^{2} - 4 \, q^{8} t^{3} - q^{7} t^{4} + q^{8} t^{2} - 3 \, q^{7} t^{3} + q^{6} t^{3} - q^{5} t^{4} + 2 \, q^{5} t^{3} + 10 \, q^{4} t^{4} - 2 \, q^{3} t^{4} - q^{2} t^{4} - t^{5}}{{\left(q^{5} - t\right)} {\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 1], [0, 5], [0, 6], [1, 5], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + q^{13} t + 2 \, q^{12} t - 10 \, q^{11} t - 2 \, q^{10} t^{2} - q^{9} t^{2} + 4 \, q^{9} t + 6 \, q^{8} t^{2} - q^{7} t^{3} - q^{8} t + 6 \, q^{7} t^{2} + 4 \, q^{6} t^{3} - q^{6} t^{2} - 2 \, q^{5} t^{2} - 10 \, q^{4} t^{3} + 2 \, q^{3} t^{3} + q^{2} t^{3} + t^{4}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 1], [0, 5], [0, 6], [1, 5], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{21} + 8 \, q^{19} t - 12 \, q^{18} t - 4 \, q^{17} t^{2} - 18 \, q^{17} t - 40 \, q^{16} t^{2} - 2 \, q^{15} t^{3} + 18 \, q^{16} t + 85 \, q^{15} t^{2} + 18 \, q^{14} t^{3} + q^{13} t^{4} - 2 \, q^{15} t + 14 \, q^{14} t^{2} + 74 \, q^{13} t^{3} + 10 \, q^{12} t^{4} - q^{14} t - 36 \, q^{13} t^{2} - 192 \, q^{12} t^{3} - 60 \, q^{11} t^{4} - 4 \, q^{10} t^{5} - 2 \, q^{12} t^{2} + 18 \, q^{11} t^{3} - 18 \, q^{10} t^{4} + 2 \, q^{9} t^{5} + 4 \, q^{11} t^{2} + 60 \, q^{10} t^{3} + 192 \, q^{9} t^{4} + 36 \, q^{8} t^{5} + q^{7} t^{6} - 10 \, q^{9} t^{3} - 74 \, q^{8} t^{4} - 14 \, q^{7} t^{5} + 2 \, q^{6} t^{6} - q^{8} t^{3} - 18 \, q^{7} t^{4} - 85 \, q^{6} t^{5} - 18 \, q^{5} t^{6} + 2 \, q^{6} t^{4} + 40 \, q^{5} t^{5} + 18 \, q^{4} t^{6} + 4 \, q^{4} t^{5} + 12 \, q^{3} t^{6} - 8 \, q^{2} t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 1], [0, 6], [1, 4], [2, 5], [2, 6], [3, 4], [3, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{19} + 5 \, q^{17} t - 8 \, q^{16} t - 3 \, q^{15} t^{2} - 10 \, q^{15} t - 12 \, q^{14} t^{2} + q^{13} t^{3} + 6 \, q^{14} t + 21 \, q^{13} t^{2} - 2 \, q^{12} t^{3} + 2 \, q^{13} t + 28 \, q^{12} t^{2} + 33 \, q^{11} t^{3} + 2 \, q^{10} t^{4} - q^{12} t - 14 \, q^{11} t^{2} - 42 \, q^{10} t^{3} - 7 \, q^{9} t^{4} - 7 \, q^{10} t^{2} - 42 \, q^{9} t^{3} - 14 \, q^{8} t^{4} - q^{7} t^{5} + 2 \, q^{9} t^{2} + 33 \, q^{8} t^{3} + 28 \, q^{7} t^{4} + 2 \, q^{6} t^{5} - 2 \, q^{7} t^{3} + 21 \, q^{6} t^{4} + 6 \, q^{5} t^{5} + q^{6} t^{3} - 12 \, q^{5} t^{4} - 10 \, q^{4} t^{5} - 3 \, q^{4} t^{4} - 8 \, q^{3} t^{5} + 5 \, q^{2} t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 1], [0, 6], [1, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{21} + 8 \, q^{19} t - 12 \, q^{18} t - 2 \, q^{17} t^{2} - 18 \, q^{17} t - 48 \, q^{16} t^{2} - 4 \, q^{15} t^{3} + 18 \, q^{16} t + 97 \, q^{15} t^{2} + 24 \, q^{14} t^{3} + q^{13} t^{4} - 2 \, q^{15} t + 6 \, q^{14} t^{2} + 68 \, q^{13} t^{3} + 12 \, q^{12} t^{4} - q^{14} t - 34 \, q^{13} t^{2} - 188 \, q^{12} t^{3} - 66 \, q^{11} t^{4} - 4 \, q^{10} t^{5} - 2 \, q^{12} t^{2} + 12 \, q^{11} t^{3} - 12 \, q^{10} t^{4} + 2 \, q^{9} t^{5} + 4 \, q^{11} t^{2} + 66 \, q^{10} t^{3} + 188 \, q^{9} t^{4} + 34 \, q^{8} t^{5} + q^{7} t^{6} - 12 \, q^{9} t^{3} - 68 \, q^{8} t^{4} - 6 \, q^{7} t^{5} + 2 \, q^{6} t^{6} - q^{8} t^{3} - 24 \, q^{7} t^{4} - 97 \, q^{6} t^{5} - 18 \, q^{5} t^{6} + 4 \, q^{6} t^{4} + 48 \, q^{5} t^{5} + 18 \, q^{4} t^{6} + 2 \, q^{4} t^{5} + 12 \, q^{3} t^{6} - 8 \, q^{2} t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 1], [0, 6], [1, 4], [2, 4], [2, 6], [3, 5], [3, 6], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + 10 \, q^{13} t - 18 \, q^{12} t - 4 \, q^{11} t^{2} - 6 \, q^{11} t - 20 \, q^{10} t^{2} - 6 \, q^{9} t^{3} + 10 \, q^{10} t + 46 \, q^{9} t^{2} + 28 \, q^{8} t^{3} + q^{7} t^{4} + 10 \, q^{8} t^{2} - 10 \, q^{7} t^{3} - q^{8} t - 28 \, q^{7} t^{2} - 46 \, q^{6} t^{3} - 10 \, q^{5} t^{4} + 6 \, q^{6} t^{2} + 20 \, q^{5} t^{3} + 6 \, q^{4} t^{4} + 4 \, q^{4} t^{3} + 18 \, q^{3} t^{4} - 10 \, q^{2} t^{4} - t^{5}}{{\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 1], [0, 5], [1, 4], [2, 4], [2, 6], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{13} + 7 \, q^{11} t - 8 \, q^{10} t + q^{9} t^{2} - 14 \, q^{9} t - 16 \, q^{8} t^{2} - q^{7} t^{3} + 12 \, q^{8} t + 18 \, q^{7} t^{2} + 18 \, q^{6} t^{2} + 12 \, q^{5} t^{3} - q^{6} t - 16 \, q^{5} t^{2} - 14 \, q^{4} t^{3} + q^{4} t^{2} - 8 \, q^{3} t^{3} + 7 \, q^{2} t^{3} + t^{4}}{{\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 1], [0, 5], [1, 4], [2, 4], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{24} + 7 \, q^{21} t - 14 \, q^{20} t - 8 \, q^{19} t + q^{18} t^{2} + 12 \, q^{18} t - 42 \, q^{17} t^{2} - 3 \, q^{17} t + 93 \, q^{16} t^{2} - q^{15} t^{3} - 32 \, q^{15} t^{2} + 6 \, q^{14} t^{3} - 7 \, q^{14} t^{2} + 45 \, q^{13} t^{3} + 2 \, q^{13} t^{2} - 120 \, q^{12} t^{3} + 2 \, q^{11} t^{4} + 45 \, q^{11} t^{3} - 7 \, q^{10} t^{4} + 6 \, q^{10} t^{3} - 32 \, q^{9} t^{4} - q^{9} t^{3} + 93 \, q^{8} t^{4} - 3 \, q^{7} t^{5} - 42 \, q^{7} t^{4} + 12 \, q^{6} t^{5} + q^{6} t^{4} - 8 \, q^{5} t^{5} - 14 \, q^{4} t^{5} + 7 \, q^{3} t^{5} + t^{6}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 1], [0, 5], [0, 6], [1, 4], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + 7 \, q^{13} t - 14 \, q^{12} t - 2 \, q^{11} t + q^{10} t^{2} + 6 \, q^{10} t - 24 \, q^{9} t^{2} - q^{9} t + 52 \, q^{8} t^{2} - q^{7} t^{3} - 24 \, q^{7} t^{2} + 6 \, q^{6} t^{3} + q^{6} t^{2} - 2 \, q^{5} t^{3} - 14 \, q^{4} t^{3} + 7 \, q^{3} t^{3} + t^{4}}{{\left(q^{3} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 1], [0, 5], [0, 6], [1, 4], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + 7 \, q^{13} t - 16 \, q^{12} t + 2 \, q^{11} t + q^{10} t^{2} + 4 \, q^{10} t - 20 \, q^{9} t^{2} - q^{9} t + 44 \, q^{8} t^{2} - q^{7} t^{3} - 20 \, q^{7} t^{2} + 4 \, q^{6} t^{3} + q^{6} t^{2} + 2 \, q^{5} t^{3} - 16 \, q^{4} t^{3} + 7 \, q^{3} t^{3} + t^{4}}{{\left(q^{3} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 1], [0, 5], [0, 6], [1, 4], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{24} + 7 \, q^{21} t - 12 \, q^{20} t - 12 \, q^{19} t + q^{18} t^{2} + 14 \, q^{18} t - 48 \, q^{17} t^{2} - 3 \, q^{17} t + 105 \, q^{16} t^{2} - q^{15} t^{3} - 40 \, q^{15} t^{2} + 12 \, q^{14} t^{3} - 3 \, q^{14} t^{2} + 33 \, q^{13} t^{3} - 108 \, q^{12} t^{3} + 33 \, q^{11} t^{3} - 3 \, q^{10} t^{4} + 12 \, q^{10} t^{3} - 40 \, q^{9} t^{4} - q^{9} t^{3} + 105 \, q^{8} t^{4} - 3 \, q^{7} t^{5} - 48 \, q^{7} t^{4} + 14 \, q^{6} t^{5} + q^{6} t^{4} - 12 \, q^{5} t^{5} - 12 \, q^{4} t^{5} + 7 \, q^{3} t^{5} + t^{6}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 1], [0, 5], [0, 6], [1, 4], [1, 5], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{13} + 2 \, q^{12} t - q^{11} t^{2} - 4 \, q^{10} t^{2} + 2 \, q^{9} t^{3} - 10 \, q^{10} t - q^{9} t^{2} - 2 \, q^{8} t^{3} + q^{7} t^{4} + 2 \, q^{9} t + 14 \, q^{8} t^{2} + 10 \, q^{7} t^{3} - 4 \, q^{6} t^{4} - 2 \, q^{8} t + 12 \, q^{7} t^{2} - 12 \, q^{6} t^{3} + 2 \, q^{5} t^{4} + 4 \, q^{7} t - 10 \, q^{6} t^{2} - 14 \, q^{5} t^{3} - 2 \, q^{4} t^{4} - q^{6} t + 2 \, q^{5} t^{2} + q^{4} t^{3} + 10 \, q^{3} t^{4} - 2 \, q^{4} t^{2} + 4 \, q^{3} t^{3} + q^{2} t^{3} - 2 \, q t^{4} - t^{5}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 1], [0, 4], [1, 4], [2, 5], [2, 6], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{12} + q^{11} t + 4 \, q^{10} t - 2 \, q^{9} t^{2} - 12 \, q^{9} t + q^{8} t^{2} - q^{7} t^{3} + 2 \, q^{8} t - 8 \, q^{7} t^{2} + 4 \, q^{6} t^{3} - 2 \, q^{7} t + 24 \, q^{6} t^{2} - 2 \, q^{5} t^{3} + 4 \, q^{6} t - 8 \, q^{5} t^{2} + 2 \, q^{4} t^{3} - q^{5} t + q^{4} t^{2} - 12 \, q^{3} t^{3} - 2 \, q^{3} t^{2} + 4 \, q^{2} t^{3} + q t^{3} + t^{4}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 1], [0, 4], [1, 4], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{10} t - 3 \, q^{9} t^{2} - 3 \, q^{8} t^{3} + q^{7} t^{4} + q^{10} + 5 \, q^{9} t - 3 \, q^{8} t^{2} + 9 \, q^{7} t^{3} - 10 \, q^{8} t + 2 \, q^{7} t^{2} + 8 \, q^{6} t^{3} - 4 \, q^{5} t^{4} - 8 \, q^{7} t + 10 \, q^{6} t^{2} - 18 \, q^{5} t^{3} - 4 \, q^{4} t^{4} + 4 \, q^{6} t + 18 \, q^{5} t^{2} - 10 \, q^{4} t^{3} + 8 \, q^{3} t^{4} + 4 \, q^{5} t - 8 \, q^{4} t^{2} - 2 \, q^{3} t^{3} + 10 \, q^{2} t^{4} - 9 \, q^{3} t^{2} + 3 \, q^{2} t^{3} - 5 \, q t^{4} - t^{5} - q^{3} t + 3 \, q^{2} t^{2} + 3 \, q t^{3} - t^{4}}{{\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 6 edges: | [[0, 1], [2, 3], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{13} t + q^{13} - 3 \, q^{11} t^{2} + 7 \, q^{11} t - 7 \, q^{9} t^{3} - 20 \, q^{10} t - 3 \, q^{9} t^{2} + 22 \, q^{8} t^{3} + q^{7} t^{4} - 2 \, q^{9} t + 4 \, q^{8} t^{2} - q^{7} t^{3} + 2 \, q^{6} t^{4} + 12 \, q^{8} t + 26 \, q^{7} t^{2} - 26 \, q^{6} t^{3} - 12 \, q^{5} t^{4} - 2 \, q^{7} t + q^{6} t^{2} - 4 \, q^{5} t^{3} + 2 \, q^{4} t^{4} - q^{6} t - 22 \, q^{5} t^{2} + 3 \, q^{4} t^{3} + 20 \, q^{3} t^{4} + 7 \, q^{4} t^{2} - 7 \, q^{2} t^{4} + 3 \, q^{2} t^{3} - t^{5} - t^{4}}{{\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 7 edges: | [[0, 1], [2, 3], [2, 6], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + q^{13} t + 7 \, q^{12} t - 3 \, q^{11} t^{2} - 18 \, q^{11} t - 3 \, q^{10} t^{2} - 5 \, q^{9} t^{3} - 2 \, q^{10} t - 4 \, q^{9} t^{2} + 19 \, q^{8} t^{3} + q^{7} t^{4} + 8 \, q^{9} t + 34 \, q^{8} t^{2} - 34 \, q^{6} t^{3} - 8 \, q^{5} t^{4} - q^{7} t - 19 \, q^{6} t^{2} + 4 \, q^{5} t^{3} + 2 \, q^{4} t^{4} + 5 \, q^{5} t^{2} + 3 \, q^{4} t^{3} + 18 \, q^{3} t^{4} + 3 \, q^{3} t^{3} - 7 \, q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 1], [0, 6], [1, 6], [2, 3], [2, 6], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{12} + 3 \, q^{11} t - 3 \, q^{10} t^{2} + q^{9} t^{3} - 3 \, q^{10} t - 5 \, q^{9} t^{2} + q^{8} t^{3} + q^{7} t^{4} - 6 \, q^{9} t + 8 \, q^{8} t^{2} + 2 \, q^{7} t^{3} - 2 \, q^{6} t^{4} - 4 \, q^{8} t + 16 \, q^{7} t^{2} + 2 \, q^{6} t^{3} - 4 \, q^{5} t^{4} + 4 \, q^{7} t - 2 \, q^{6} t^{2} - 16 \, q^{5} t^{3} + 4 \, q^{4} t^{4} + 2 \, q^{6} t - 2 \, q^{5} t^{2} - 8 \, q^{4} t^{3} + 6 \, q^{3} t^{4} - q^{5} t - q^{4} t^{2} + 5 \, q^{3} t^{3} + 3 \, q^{2} t^{4} - q^{3} t^{2} + 3 \, q^{2} t^{3} - 3 \, q t^{4} - t^{5}}{{\left(q^{2} - t\right)} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 1], [0, 6], [1, 6], [2, 3], [2, 5], [3, 5], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{11} + 2 \, q^{10} t - q^{9} t^{2} + q^{9} t - 2 \, q^{8} t^{2} - q^{7} t^{3} - 8 \, q^{8} t + 2 \, q^{6} t^{3} - 4 \, q^{7} t + 6 \, q^{6} t^{2} + 4 \, q^{5} t^{3} + 4 \, q^{6} t + 6 \, q^{5} t^{2} - 4 \, q^{4} t^{3} + 2 \, q^{5} t - 8 \, q^{3} t^{3} - q^{4} t - 2 \, q^{3} t^{2} + q^{2} t^{3} - q^{2} t^{2} + 2 \, q t^{3} + t^{4}}{{\left(q^{2} - t\right)} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 1], [0, 6], [1, 6], [2, 3], [2, 5], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{12} + q^{11} t + 2 \, q^{10} t - 2 \, q^{9} t^{2} - 4 \, q^{9} t - q^{8} t^{2} - q^{7} t^{3} - 10 \, q^{8} t + 2 \, q^{6} t^{3} + 6 \, q^{7} t + 12 \, q^{6} t^{2} + 6 \, q^{5} t^{3} + 2 \, q^{6} t - 10 \, q^{4} t^{3} - q^{5} t - q^{4} t^{2} - 4 \, q^{3} t^{3} - 2 \, q^{3} t^{2} + 2 \, q^{2} t^{3} + q t^{3} + t^{4}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 1], [0, 6], [1, 6], [2, 3], [2, 6], [3, 4], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + q^{14} t + 4 \, q^{13} t - 2 \, q^{12} t^{2} - 9 \, q^{12} t - 2 \, q^{11} t^{2} + q^{10} t^{3} - 6 \, q^{11} t - 12 \, q^{10} t^{2} - 2 \, q^{9} t^{3} + 40 \, q^{9} t^{2} + 9 \, q^{8} t^{3} + 3 \, q^{7} t^{4} + 8 \, q^{9} t - 6 \, q^{8} t^{2} + 6 \, q^{7} t^{3} - 8 \, q^{6} t^{4} - 3 \, q^{8} t - 9 \, q^{7} t^{2} - 40 \, q^{6} t^{3} + 2 \, q^{6} t^{2} + 12 \, q^{5} t^{3} + 6 \, q^{4} t^{4} - q^{5} t^{2} + 2 \, q^{4} t^{3} + 9 \, q^{3} t^{4} + 2 \, q^{3} t^{3} - 4 \, q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 1], [0, 6], [1, 6], [2, 3], [2, 5], [3, 4], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{23} + 5 \, q^{21} t - 6 \, q^{20} t - 3 \, q^{19} t^{2} - 13 \, q^{19} t - 12 \, q^{18} t^{2} + q^{17} t^{3} + 2 \, q^{18} t + 2 \, q^{17} t^{2} - 4 \, q^{16} t^{3} + 8 \, q^{17} t + 66 \, q^{16} t^{2} + 50 \, q^{15} t^{3} + 2 \, q^{14} t^{4} - 3 \, q^{16} t - 20 \, q^{15} t^{2} - 44 \, q^{14} t^{3} - 6 \, q^{13} t^{4} - 15 \, q^{14} t^{2} - 63 \, q^{13} t^{3} - 22 \, q^{12} t^{4} - q^{11} t^{5} + 2 \, q^{13} t^{2} - q^{12} t^{3} + q^{11} t^{4} - 2 \, q^{10} t^{5} + q^{12} t^{2} + 22 \, q^{11} t^{3} + 63 \, q^{10} t^{4} + 15 \, q^{9} t^{5} + 6 \, q^{10} t^{3} + 44 \, q^{9} t^{4} + 20 \, q^{8} t^{5} + 3 \, q^{7} t^{6} - 2 \, q^{9} t^{3} - 50 \, q^{8} t^{4} - 66 \, q^{7} t^{5} - 8 \, q^{6} t^{6} + 4 \, q^{7} t^{4} - 2 \, q^{6} t^{5} - 2 \, q^{5} t^{6} - q^{6} t^{4} + 12 \, q^{5} t^{5} + 13 \, q^{4} t^{6} + 3 \, q^{4} t^{5} + 6 \, q^{3} t^{6} - 5 \, q^{2} t^{6} - t^{7}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 1], [0, 5], [1, 6], [2, 3], [2, 6], [3, 4], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + q^{14} t + 2 \, q^{13} t - 2 \, q^{12} t^{2} - 7 \, q^{12} t - 2 \, q^{11} t^{2} + q^{10} t^{3} - 4 \, q^{11} t - 4 \, q^{10} t^{2} + 24 \, q^{9} t^{2} + 5 \, q^{8} t^{3} + q^{7} t^{4} + 4 \, q^{9} t - 4 \, q^{6} t^{4} - q^{8} t - 5 \, q^{7} t^{2} - 24 \, q^{6} t^{3} + 4 \, q^{5} t^{3} + 4 \, q^{4} t^{4} - q^{5} t^{2} + 2 \, q^{4} t^{3} + 7 \, q^{3} t^{4} + 2 \, q^{3} t^{3} - 2 \, q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 1], [0, 5], [1, 5], [2, 3], [2, 6], [3, 4], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + q^{13} t + 2 \, q^{12} t - 14 \, q^{10} t - 6 \, q^{9} t^{2} + 2 \, q^{9} t - q^{8} t^{2} - 3 \, q^{7} t^{3} + 8 \, q^{8} t + 20 \, q^{7} t^{2} + 8 \, q^{6} t^{3} - 3 \, q^{7} t - q^{6} t^{2} + 2 \, q^{5} t^{3} - 6 \, q^{5} t^{2} - 14 \, q^{4} t^{3} + 2 \, q^{2} t^{3} + q t^{3} + t^{4}}{{\left(q^{3} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 1], [0, 6], [1, 6], [2, 3], [2, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{19} + 2 \, q^{18} t - q^{17} t^{2} - 4 \, q^{17} t + 4 \, q^{16} t - 2 \, q^{15} t^{2} + 2 \, q^{14} t^{3} - 11 \, q^{15} t - 8 \, q^{14} t^{2} + q^{13} t^{3} - 4 \, q^{14} t + 35 \, q^{13} t^{2} - 2 \, q^{12} t^{3} + q^{11} t^{4} + 10 \, q^{13} t - 20 \, q^{12} t^{2} + 10 \, q^{11} t^{3} - 4 \, q^{10} t^{4} - 3 \, q^{12} t + 22 \, q^{11} t^{2} - 21 \, q^{10} t^{3} - 8 \, q^{9} t^{4} - 8 \, q^{10} t^{2} - 21 \, q^{9} t^{3} + 22 \, q^{8} t^{4} - 3 \, q^{7} t^{5} - 4 \, q^{9} t^{2} + 10 \, q^{8} t^{3} - 20 \, q^{7} t^{4} + 10 \, q^{6} t^{5} + q^{8} t^{2} - 2 \, q^{7} t^{3} + 35 \, q^{6} t^{4} - 4 \, q^{5} t^{5} + q^{6} t^{3} - 8 \, q^{5} t^{4} - 11 \, q^{4} t^{5} + 2 \, q^{5} t^{3} - 2 \, q^{4} t^{4} + 4 \, q^{3} t^{5} - 4 \, q^{2} t^{5} - q^{2} t^{4} + 2 \, q t^{5} + t^{6}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{2} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 1], [1, 6], [2, 3], [2, 4], [2, 5], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + q^{13} t + 2 \, q^{11} t - 2 \, q^{10} t^{2} - 12 \, q^{10} t + 2 \, q^{9} t - 3 \, q^{8} t^{2} - q^{7} t^{3} + 4 \, q^{8} t + 16 \, q^{7} t^{2} + 4 \, q^{6} t^{3} - q^{7} t - 3 \, q^{6} t^{2} + 2 \, q^{5} t^{3} - 12 \, q^{4} t^{3} - 2 \, q^{4} t^{2} + 2 \, q^{3} t^{3} + q t^{3} + t^{4}}{{\left(q^{3} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 1], [0, 6], [1, 6], [2, 3], [2, 4], [2, 5], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{23} + 5 \, q^{21} t - 8 \, q^{20} t - 3 \, q^{19} t^{2} - 5 \, q^{19} t - 12 \, q^{18} t^{2} + q^{17} t^{3} - 10 \, q^{18} t + 2 \, q^{17} t^{2} + 2 \, q^{16} t^{3} + 16 \, q^{17} t + 66 \, q^{16} t^{2} + 26 \, q^{15} t^{3} - 2 \, q^{14} t^{4} - 5 \, q^{16} t - 20 \, q^{15} t^{2} - 8 \, q^{14} t^{3} + 10 \, q^{13} t^{4} - 15 \, q^{14} t^{2} - 83 \, q^{13} t^{3} - 46 \, q^{12} t^{4} - q^{11} t^{5} + 2 \, q^{13} t^{2} - 11 \, q^{12} t^{3} + 11 \, q^{11} t^{4} - 2 \, q^{10} t^{5} + q^{12} t^{2} + 46 \, q^{11} t^{3} + 83 \, q^{10} t^{4} + 15 \, q^{9} t^{5} - 10 \, q^{10} t^{3} + 8 \, q^{9} t^{4} + 20 \, q^{8} t^{5} + 5 \, q^{7} t^{6} + 2 \, q^{9} t^{3} - 26 \, q^{8} t^{4} - 66 \, q^{7} t^{5} - 16 \, q^{6} t^{6} - 2 \, q^{7} t^{4} - 2 \, q^{6} t^{5} + 10 \, q^{5} t^{6} - q^{6} t^{4} + 12 \, q^{5} t^{5} + 5 \, q^{4} t^{6} + 3 \, q^{4} t^{5} + 8 \, q^{3} t^{6} - 5 \, q^{2} t^{6} - t^{7}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 1], [0, 6], [1, 5], [2, 3], [2, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{21} + 4 \, q^{19} t - 4 \, q^{18} t - q^{17} t^{2} - 9 \, q^{17} t - 2 \, q^{16} t^{2} - 4 \, q^{16} t - 27 \, q^{15} t^{2} + 2 \, q^{14} t^{3} + 10 \, q^{15} t + 74 \, q^{14} t^{2} - 5 \, q^{13} t^{3} - 3 \, q^{14} t - 26 \, q^{13} t^{2} + 38 \, q^{12} t^{3} + q^{11} t^{4} - 45 \, q^{11} t^{3} - 4 \, q^{10} t^{4} - 4 \, q^{11} t^{2} - 45 \, q^{10} t^{3} + q^{10} t^{2} + 38 \, q^{9} t^{3} - 26 \, q^{8} t^{4} - 3 \, q^{7} t^{5} - 5 \, q^{8} t^{3} + 74 \, q^{7} t^{4} + 10 \, q^{6} t^{5} + 2 \, q^{7} t^{3} - 27 \, q^{6} t^{4} - 4 \, q^{5} t^{5} - 2 \, q^{5} t^{4} - 9 \, q^{4} t^{5} - q^{4} t^{4} - 4 \, q^{3} t^{5} + 4 \, q^{2} t^{5} + t^{6}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 1], [0, 6], [1, 5], [2, 3], [2, 4], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + 4 \, q^{18} t - q^{17} t - q^{16} t^{2} - 18 \, q^{16} t - 10 \, q^{15} t^{2} + 4 \, q^{15} t - 13 \, q^{14} t^{2} + 3 \, q^{13} t^{3} + 8 \, q^{14} t + 76 \, q^{13} t^{2} - 4 \, q^{12} t^{3} - 3 \, q^{13} t - 30 \, q^{12} t^{2} + 69 \, q^{11} t^{3} + 3 \, q^{10} t^{4} - 10 \, q^{11} t^{2} - 156 \, q^{10} t^{3} - 10 \, q^{9} t^{4} + 3 \, q^{10} t^{2} + 69 \, q^{9} t^{3} - 30 \, q^{8} t^{4} - 3 \, q^{7} t^{5} - 4 \, q^{8} t^{3} + 76 \, q^{7} t^{4} + 8 \, q^{6} t^{5} + 3 \, q^{7} t^{3} - 13 \, q^{6} t^{4} + 4 \, q^{5} t^{5} - 10 \, q^{5} t^{4} - 18 \, q^{4} t^{5} - q^{4} t^{4} - q^{3} t^{5} + 4 \, q^{2} t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 1], [0, 5], [1, 6], [2, 3], [2, 4], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 2 \, q^{16} t - q^{15} t^{2} - 3 \, q^{15} t - 2 \, q^{14} t^{2} + q^{13} t^{3} + 2 \, q^{14} t - 4 \, q^{13} t^{2} + 2 \, q^{12} t^{3} - 14 \, q^{13} t + 2 \, q^{12} t^{2} + 2 \, q^{11} t^{3} + 2 \, q^{12} t + 33 \, q^{11} t^{2} + 8 \, q^{10} t^{3} - 3 \, q^{9} t^{4} + 8 \, q^{11} t - 8 \, q^{10} t^{2} - 23 \, q^{9} t^{3} - 2 \, q^{8} t^{4} - 3 \, q^{7} t^{5} - 3 \, q^{10} t - 2 \, q^{9} t^{2} - 23 \, q^{8} t^{3} - 8 \, q^{7} t^{4} + 8 \, q^{6} t^{5} - 3 \, q^{8} t^{2} + 8 \, q^{7} t^{3} + 33 \, q^{6} t^{4} + 2 \, q^{5} t^{5} + 2 \, q^{6} t^{3} + 2 \, q^{5} t^{4} - 14 \, q^{4} t^{5} + 2 \, q^{5} t^{3} - 4 \, q^{4} t^{4} + 2 \, q^{3} t^{5} + q^{4} t^{3} - 2 \, q^{3} t^{4} - 3 \, q^{2} t^{5} - q^{2} t^{4} + 2 \, q t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 1], [1, 6], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + q^{15} t + q^{14} t - q^{13} t^{2} - 2 \, q^{13} t - 2 \, q^{12} t^{2} - 10 \, q^{12} t - 6 \, q^{11} t^{2} + 2 \, q^{10} t^{3} + 2 \, q^{11} t + 15 \, q^{10} t^{2} - q^{9} t^{3} + 4 \, q^{10} t + 14 \, q^{9} t^{2} + 9 \, q^{8} t^{3} + q^{7} t^{4} - q^{9} t - 9 \, q^{8} t^{2} - 14 \, q^{7} t^{3} - 4 \, q^{6} t^{4} + q^{7} t^{2} - 15 \, q^{6} t^{3} - 2 \, q^{5} t^{4} - 2 \, q^{6} t^{2} + 6 \, q^{5} t^{3} + 10 \, q^{4} t^{4} + 2 \, q^{4} t^{3} + 2 \, q^{3} t^{4} + q^{3} t^{3} - q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 1], [0, 6], [1, 6], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{7} t + q^{7} - 2 \, q^{5} t - 2 \, q^{2} t + t^{2} + t}{q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 1], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + 2 \, q^{15} t - q^{14} t^{2} - 4 \, q^{14} t + q^{13} t + q^{11} t^{3} - 3 \, q^{12} t - 4 \, q^{11} t^{2} + q^{10} t^{3} - 6 \, q^{11} t + 18 \, q^{10} t^{2} + 6 \, q^{10} t - 7 \, q^{9} t^{2} - 6 \, q^{8} t^{3} + q^{7} t^{4} - q^{9} t + 6 \, q^{8} t^{2} + 7 \, q^{7} t^{3} - 6 \, q^{6} t^{4} - 18 \, q^{6} t^{3} + 6 \, q^{5} t^{4} - q^{6} t^{2} + 4 \, q^{5} t^{3} + 3 \, q^{4} t^{4} - q^{5} t^{2} - q^{3} t^{4} + 4 \, q^{2} t^{4} + q^{2} t^{3} - 2 \, q t^{4} - t^{5}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 1], [1, 6], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{9} + 2 \, q^{8} t - q^{7} t^{2} - 4 \, q^{7} t + 2 \, q^{5} t^{2} - 2 \, q^{4} t + 4 \, q^{2} t^{2} + q^{2} t - 2 \, q t^{2} - t^{3}}{{\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 1], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{10} + q^{9} t + q^{8} t - q^{7} t^{2} - 4 \, q^{7} t - 2 \, q^{6} t + 2 \, q^{4} t^{2} + 4 \, q^{3} t^{2} + q^{3} t - q^{2} t^{2} - q t^{2} - t^{3}}{{\left(q^{2} - t\right)} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 1], [0, 6], [1, 6], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{8} + q^{7} t - 4 \, q^{4} t + q t + t^{2}}{{\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 1], [0, 6], [1, 6], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{8} + q^{7} t - 2 \, q^{5} t - 2 \, q^{3} t + q t + t^{2}}{{\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 1], [0, 6], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + 4 \, q^{16} t - 5 \, q^{15} t - q^{14} t^{2} - 3 \, q^{14} t - 10 \, q^{13} t - 22 \, q^{12} t^{2} + q^{11} t^{3} + 12 \, q^{12} t + 53 \, q^{11} t^{2} + q^{10} t^{3} - 3 \, q^{11} t - 20 \, q^{10} t^{2} - 2 \, q^{9} t^{3} + 2 \, q^{9} t^{2} + 20 \, q^{8} t^{3} + 3 \, q^{7} t^{4} - q^{8} t^{2} - 53 \, q^{7} t^{3} - 12 \, q^{6} t^{4} - q^{7} t^{2} + 22 \, q^{6} t^{3} + 10 \, q^{5} t^{4} + 3 \, q^{4} t^{4} + q^{4} t^{3} + 5 \, q^{3} t^{4} - 4 \, q^{2} t^{4} - t^{5}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 1], [0, 6], [1, 5], [2, 3], [2, 4], [2, 5], [3, 4], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + q^{15} t - 2 \, q^{13} t + 2 \, q^{12} t - 2 \, q^{11} t^{2} - 12 \, q^{11} t - 2 \, q^{10} t^{2} + 8 \, q^{10} t + 8 \, q^{9} t^{2} - q^{9} t - 2 \, q^{8} t^{2} - q^{7} t^{3} + 8 \, q^{7} t^{2} + 8 \, q^{6} t^{3} - 2 \, q^{6} t^{2} - 12 \, q^{5} t^{3} - 2 \, q^{5} t^{2} + 2 \, q^{4} t^{3} - 2 \, q^{3} t^{3} + q t^{3} + t^{4}}{{\left(q^{4} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 1], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{8} + q^{7} t - 2 \, q^{5} t - 2 \, q^{3} t + q t + t^{2}}{{\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 1], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{19} + 4 \, q^{17} t - 8 \, q^{16} t - q^{15} t^{2} + 4 \, q^{15} t - 12 \, q^{14} t - 10 \, q^{13} t^{2} + 8 \, q^{13} t + 22 \, q^{12} t^{2} + 2 \, q^{11} t^{3} - q^{12} t - q^{11} t^{2} + 2 \, q^{10} t^{3} + 4 \, q^{10} t^{2} - 4 \, q^{9} t^{3} - 2 \, q^{9} t^{2} + q^{8} t^{3} + q^{7} t^{4} - 2 \, q^{8} t^{2} - 22 \, q^{7} t^{3} - 8 \, q^{6} t^{4} + 10 \, q^{6} t^{3} + 12 \, q^{5} t^{4} - 4 \, q^{4} t^{4} + q^{4} t^{3} + 8 \, q^{3} t^{4} - 4 \, q^{2} t^{4} - t^{5}}{{\left(q^{4} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 1], [0, 6], [1, 5], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{11} + 4 \, q^{9} t - 8 \, q^{8} t - q^{7} t^{2} + 2 \, q^{7} t - 2 \, q^{6} t + 2 \, q^{5} t^{2} - 2 \, q^{4} t^{2} + q^{4} t + 8 \, q^{3} t^{2} - 4 \, q^{2} t^{2} - t^{3}}{{\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 1], [0, 6], [1, 5], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + 2 \, q^{13} t - 4 \, q^{12} t - q^{11} t^{2} + q^{11} t - 6 \, q^{10} t - 2 \, q^{9} t^{2} + 2 \, q^{9} t + 6 \, q^{8} t^{2} + q^{7} t^{3} + q^{8} t + 6 \, q^{7} t^{2} + 2 \, q^{6} t^{3} - 2 \, q^{6} t^{2} - 6 \, q^{5} t^{3} + q^{4} t^{3} - q^{4} t^{2} - 4 \, q^{3} t^{3} + 2 \, q^{2} t^{3} + t^{4}}{{\left(q^{4} - t\right)} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 1], [0, 6], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{11} + 2 \, q^{9} t - 4 \, q^{8} t - q^{7} t^{2} - 2 \, q^{6} t + 2 \, q^{5} t^{2} + q^{4} t + 4 \, q^{3} t^{2} - 2 \, q^{2} t^{2} - t^{3}}{{\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 1], [0, 6], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + 4 \, q^{16} t - 7 \, q^{15} t - q^{14} t^{2} - q^{14} t - 2 \, q^{13} t^{2} - 6 \, q^{13} t - 8 \, q^{12} t^{2} + q^{11} t^{3} + 6 \, q^{12} t + 29 \, q^{11} t^{2} + q^{10} t^{3} - q^{11} t - 6 \, q^{10} t^{2} + 6 \, q^{8} t^{3} + q^{7} t^{4} - q^{8} t^{2} - 29 \, q^{7} t^{3} - 6 \, q^{6} t^{4} - q^{7} t^{2} + 8 \, q^{6} t^{3} + 6 \, q^{5} t^{4} + 2 \, q^{5} t^{3} + q^{4} t^{4} + q^{4} t^{3} + 7 \, q^{3} t^{4} - 4 \, q^{2} t^{4} - t^{5}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 1], [0, 5], [1, 6], [2, 3], [2, 4], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + 5 \, q^{18} t - 7 \, q^{17} t - 3 \, q^{16} t^{2} - 7 \, q^{16} t - 9 \, q^{15} t^{2} + q^{14} t^{3} - 4 \, q^{15} t + 5 \, q^{14} t^{2} - q^{13} t^{3} + 10 \, q^{14} t + 45 \, q^{13} t^{2} + 23 \, q^{12} t^{3} + q^{11} t^{4} - 3 \, q^{13} t - 22 \, q^{12} t^{2} - 25 \, q^{11} t^{3} - 5 \, q^{10} t^{4} + 3 \, q^{11} t^{2} - 16 \, q^{10} t^{3} + 3 \, q^{9} t^{4} - 5 \, q^{10} t^{2} - 25 \, q^{9} t^{3} - 22 \, q^{8} t^{4} - 3 \, q^{7} t^{5} + q^{9} t^{2} + 23 \, q^{8} t^{3} + 45 \, q^{7} t^{4} + 10 \, q^{6} t^{5} - q^{7} t^{3} + 5 \, q^{6} t^{4} - 4 \, q^{5} t^{5} + q^{6} t^{3} - 9 \, q^{5} t^{4} - 7 \, q^{4} t^{5} - 3 \, q^{4} t^{4} - 7 \, q^{3} t^{5} + 5 \, q^{2} t^{5} + t^{6}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 1], [0, 5], [1, 6], [2, 3], [2, 4], [2, 5], [3, 4], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{9} + 2 \, q^{8} t - q^{7} t^{2} - 2 \, q^{7} t - 2 \, q^{6} t - 2 \, q^{5} t + 2 \, q^{4} t^{2} + 2 \, q^{3} t^{2} + 2 \, q^{2} t^{2} + q^{2} t - 2 \, q t^{2} - t^{3}}{{\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 1], [0, 5], [1, 5], [2, 3], [2, 4], [2, 6], [3, 4], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{11} + 2 \, q^{9} t - 2 \, q^{8} t - q^{7} t^{2} - 4 \, q^{7} t + 4 \, q^{4} t^{2} + q^{4} t + 2 \, q^{3} t^{2} - 2 \, q^{2} t^{2} - t^{3}}{{\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 1], [0, 5], [0, 6], [1, 5], [1, 6], [2, 3], [2, 4], [2, 6], [3, 4], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{12} + q^{10} t + 3 \, q^{9} t - 10 \, q^{8} t - q^{7} t^{2} + 2 \, q^{7} t - 2 \, q^{5} t^{2} + q^{5} t + 10 \, q^{4} t^{2} - 3 \, q^{3} t^{2} - q^{2} t^{2} - t^{3}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 1], [0, 5], [0, 6], [1, 5], [1, 6], [2, 3], [2, 4], [2, 6], [3, 4], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{12} + q^{10} t + q^{9} t - 6 \, q^{8} t - q^{7} t^{2} + q^{5} t + 6 \, q^{4} t^{2} - q^{3} t^{2} - q^{2} t^{2} - t^{3}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 1], [0, 5], [0, 6], [1, 5], [1, 6], [2, 3], [2, 4], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + q^{12} t - 2 \, q^{10} t - q^{9} t - 4 \, q^{8} t - 3 \, q^{7} t^{2} + 3 \, q^{7} t + 4 \, q^{6} t^{2} + q^{5} t^{2} + 2 \, q^{4} t^{2} - q^{2} t^{2} - t^{3}}{{\left(q^{5} - t\right)} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 1], [0, 5], [0, 6], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{9} + q^{7} t - 2 \, q^{5} t - 2 \, q^{4} t + q^{2} t + t^{2}}{{\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 15 edges: | [[0, 1], [0, 5], [0, 6], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + 2 \, q^{13} t - q^{12} t^{2} - 3 \, q^{12} t - 2 \, q^{11} t^{2} + q^{10} t^{3} - q^{11} t - 2 \, q^{10} t^{2} + q^{9} t^{3} - 6 \, q^{10} t + 11 \, q^{9} t^{2} + q^{7} t^{4} + 6 \, q^{8} t^{2} - 4 \, q^{6} t^{4} + 4 \, q^{8} t - 6 \, q^{6} t^{3} - q^{7} t - 11 \, q^{5} t^{3} + 6 \, q^{4} t^{4} - q^{5} t^{2} + 2 \, q^{4} t^{3} + q^{3} t^{4} - q^{4} t^{2} + 2 \, q^{3} t^{3} + 3 \, q^{2} t^{4} + q^{2} t^{3} - 2 \, q t^{4} - t^{5}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 1], [1, 4], [2, 3], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + q^{13} t + 11 \, q^{12} t - 3 \, q^{11} t^{2} - 28 \, q^{11} t - 3 \, q^{10} t^{2} - 7 \, q^{9} t^{3} + 6 \, q^{10} t - 12 \, q^{9} t^{2} + 23 \, q^{8} t^{3} + q^{7} t^{4} + 6 \, q^{9} t + 50 \, q^{8} t^{2} + 6 \, q^{7} t^{3} - 6 \, q^{7} t^{2} - 50 \, q^{6} t^{3} - 6 \, q^{5} t^{4} - q^{7} t - 23 \, q^{6} t^{2} + 12 \, q^{5} t^{3} - 6 \, q^{4} t^{4} + 7 \, q^{5} t^{2} + 3 \, q^{4} t^{3} + 28 \, q^{3} t^{4} + 3 \, q^{3} t^{3} - 11 \, q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 1], [0, 5], [1, 4], [2, 3], [2, 6], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + 4 \, q^{18} t + q^{17} t - q^{16} t^{2} - 26 \, q^{16} t - 16 \, q^{15} t^{2} + 16 \, q^{15} t + 15 \, q^{14} t^{2} + 3 \, q^{13} t^{3} + 24 \, q^{13} t^{2} - 4 \, q^{12} t^{3} - q^{13} t + 18 \, q^{12} t^{2} + 69 \, q^{11} t^{3} + 7 \, q^{10} t^{4} - 32 \, q^{11} t^{2} - 156 \, q^{10} t^{3} - 32 \, q^{9} t^{4} + 7 \, q^{10} t^{2} + 69 \, q^{9} t^{3} + 18 \, q^{8} t^{4} - q^{7} t^{5} - 4 \, q^{8} t^{3} + 24 \, q^{7} t^{4} + 3 \, q^{7} t^{3} + 15 \, q^{6} t^{4} + 16 \, q^{5} t^{5} - 16 \, q^{5} t^{4} - 26 \, q^{4} t^{5} - q^{4} t^{4} + q^{3} t^{5} + 4 \, q^{2} t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 1], [0, 5], [1, 4], [2, 3], [2, 4], [2, 6], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{23} + q^{21} t - 4 \, q^{19} t - 4 \, q^{18} t^{2} - 10 \, q^{18} t + 3 \, q^{17} t^{2} + 8 \, q^{17} t - 8 \, q^{16} t^{2} + q^{15} t^{3} - q^{16} t + 37 \, q^{15} t^{2} + 8 \, q^{14} t^{3} - 9 \, q^{14} t^{2} - 3 \, q^{13} t^{3} - 2 \, q^{13} t^{2} - 16 \, q^{12} t^{3} - 2 \, q^{11} t^{4} - 2 \, q^{12} t^{2} - 16 \, q^{11} t^{3} - 2 \, q^{10} t^{4} - 3 \, q^{10} t^{3} - 9 \, q^{9} t^{4} + 8 \, q^{9} t^{3} + 37 \, q^{8} t^{4} - q^{7} t^{5} + q^{8} t^{3} - 8 \, q^{7} t^{4} + 8 \, q^{6} t^{5} + 3 \, q^{6} t^{4} - 10 \, q^{5} t^{5} - 4 \, q^{5} t^{4} - 4 \, q^{4} t^{5} + q^{2} t^{5} + t^{6}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 1], [0, 6], [1, 4], [1, 5], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + q^{13} t - 6 \, q^{11} t - 4 \, q^{10} t^{2} + 5 \, q^{9} t^{2} + 2 \, q^{8} t^{2} + q^{7} t^{3} + q^{8} t + 2 \, q^{7} t^{2} + 5 \, q^{6} t^{2} - 4 \, q^{5} t^{2} - 6 \, q^{4} t^{3} + q^{2} t^{3} + t^{4}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 1], [0, 6], [1, 4], [1, 5], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{23} + q^{21} t - 4 \, q^{19} t - 4 \, q^{18} t^{2} - 10 \, q^{18} t + q^{17} t^{2} + 8 \, q^{17} t + q^{15} t^{3} - q^{16} t + 25 \, q^{15} t^{2} + 10 \, q^{14} t^{3} - q^{14} t^{2} - 9 \, q^{13} t^{3} - 4 \, q^{13} t^{2} - 12 \, q^{12} t^{3} - 2 \, q^{11} t^{4} - 2 \, q^{12} t^{2} - 12 \, q^{11} t^{3} - 4 \, q^{10} t^{4} - 9 \, q^{10} t^{3} - q^{9} t^{4} + 10 \, q^{9} t^{3} + 25 \, q^{8} t^{4} - q^{7} t^{5} + q^{8} t^{3} + 8 \, q^{6} t^{5} + q^{6} t^{4} - 10 \, q^{5} t^{5} - 4 \, q^{5} t^{4} - 4 \, q^{4} t^{5} + q^{2} t^{5} + t^{6}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 1], [0, 5], [1, 4], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{21} + 4 \, q^{18} t - 6 \, q^{17} t - 10 \, q^{16} t - q^{15} t^{2} + 8 \, q^{15} t - 12 \, q^{14} t^{2} - q^{14} t + 23 \, q^{13} t^{2} + 8 \, q^{12} t^{2} + 2 \, q^{11} t^{3} - 6 \, q^{11} t^{2} + 6 \, q^{10} t^{3} - 2 \, q^{10} t^{2} - 8 \, q^{9} t^{3} - 23 \, q^{8} t^{3} + q^{7} t^{4} + 12 \, q^{7} t^{3} - 8 \, q^{6} t^{4} + q^{6} t^{3} + 10 \, q^{5} t^{4} + 6 \, q^{4} t^{4} - 4 \, q^{3} t^{4} - t^{5}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 1], [0, 5], [0, 6], [1, 4], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{21} + 4 \, q^{18} t - 4 \, q^{17} t - 14 \, q^{16} t - q^{15} t^{2} + 10 \, q^{15} t - 16 \, q^{14} t^{2} - q^{14} t + 31 \, q^{13} t^{2} + 2 \, q^{12} t^{2} + 4 \, q^{11} t^{3} - 2 \, q^{11} t^{2} + 2 \, q^{10} t^{3} - 4 \, q^{10} t^{2} - 2 \, q^{9} t^{3} - 31 \, q^{8} t^{3} + q^{7} t^{4} + 16 \, q^{7} t^{3} - 10 \, q^{6} t^{4} + q^{6} t^{3} + 14 \, q^{5} t^{4} + 4 \, q^{4} t^{4} - 4 \, q^{3} t^{4} - t^{5}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 1], [0, 5], [0, 6], [1, 4], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{13} + 4 \, q^{10} t - 8 \, q^{9} t - q^{7} t^{2} + q^{6} t + 8 \, q^{4} t^{2} - 4 \, q^{3} t^{2} - t^{3}}{{\left(q^{3} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 15 edges: | [[0, 1], [0, 5], [0, 6], [1, 4], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + 5 \, q^{14} t - 9 \, q^{13} t - 3 \, q^{12} t^{2} - 4 \, q^{12} t - 9 \, q^{11} t^{2} + q^{10} t^{3} + 22 \, q^{10} t^{2} + q^{9} t^{3} + 4 \, q^{10} t + 8 \, q^{9} t^{2} + 6 \, q^{8} t^{3} + q^{7} t^{4} - q^{9} t - 6 \, q^{8} t^{2} - 8 \, q^{7} t^{3} - 4 \, q^{6} t^{4} - q^{7} t^{2} - 22 \, q^{6} t^{3} - q^{6} t^{2} + 9 \, q^{5} t^{3} + 4 \, q^{4} t^{4} + 3 \, q^{4} t^{3} + 9 \, q^{3} t^{4} - 5 \, q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 1], [0, 4], [1, 6], [2, 3], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{13} + 4 \, q^{10} t - 6 \, q^{9} t - 4 \, q^{8} t - q^{7} t^{2} + 2 \, q^{7} t - 2 \, q^{6} t^{2} + q^{6} t + 4 \, q^{5} t^{2} + 6 \, q^{4} t^{2} - 4 \, q^{3} t^{2} - t^{3}}{{\left(q^{3} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 1], [0, 4], [0, 5], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + 5 \, q^{13} t - 12 \, q^{12} t + 2 \, q^{11} t - 3 \, q^{10} t^{2} - 4 \, q^{9} t^{2} + q^{9} t + 20 \, q^{8} t^{2} + q^{7} t^{3} - 4 \, q^{7} t^{2} - 3 \, q^{6} t^{2} + 2 \, q^{5} t^{3} - 12 \, q^{4} t^{3} + 5 \, q^{3} t^{3} + t^{4}}{{\left(q^{3} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 1], [0, 4], [0, 6], [1, 4], [1, 5], [2, 3], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + q^{15} t + 4 \, q^{14} t - 8 \, q^{13} t - 8 \, q^{12} t - 2 \, q^{11} t^{2} + 8 \, q^{11} t - 6 \, q^{10} t^{2} - q^{10} t + 11 \, q^{9} t^{2} + 11 \, q^{8} t^{2} - q^{7} t^{3} - 6 \, q^{7} t^{2} + 8 \, q^{6} t^{3} - 2 \, q^{6} t^{2} - 8 \, q^{5} t^{3} - 8 \, q^{4} t^{3} + 4 \, q^{3} t^{3} + q^{2} t^{3} + t^{4}}{{\left(q^{4} - t\right)}^{2} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 1], [0, 4], [0, 5], [1, 4], [1, 5], [2, 3], [2, 5], [2, 6], [3, 4], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{21} + 6 \, q^{19} t - 10 \, q^{18} t - 6 \, q^{17} t^{2} - 14 \, q^{17} t - 24 \, q^{16} t^{2} + 4 \, q^{15} t^{3} + 12 \, q^{16} t + 67 \, q^{15} t^{2} - q^{13} t^{4} + 2 \, q^{14} t^{2} + 70 \, q^{13} t^{3} + 10 \, q^{12} t^{4} - q^{14} t - 12 \, q^{13} t^{2} - 158 \, q^{12} t^{3} - 50 \, q^{11} t^{4} - 4 \, q^{10} t^{5} - 10 \, q^{12} t^{2} + 8 \, q^{11} t^{3} - 8 \, q^{10} t^{4} + 10 \, q^{9} t^{5} + 4 \, q^{11} t^{2} + 50 \, q^{10} t^{3} + 158 \, q^{9} t^{4} + 12 \, q^{8} t^{5} + q^{7} t^{6} - 10 \, q^{9} t^{3} - 70 \, q^{8} t^{4} - 2 \, q^{7} t^{5} + q^{8} t^{3} - 67 \, q^{6} t^{5} - 12 \, q^{5} t^{6} - 4 \, q^{6} t^{4} + 24 \, q^{5} t^{5} + 14 \, q^{4} t^{6} + 6 \, q^{4} t^{5} + 10 \, q^{3} t^{6} - 6 \, q^{2} t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 1], [0, 6], [1, 3], [2, 4], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{22} + 6 \, q^{20} t - 13 \, q^{19} t - 6 \, q^{18} t^{2} - q^{18} t - 14 \, q^{17} t^{2} + 4 \, q^{16} t^{3} - 6 \, q^{17} t + 36 \, q^{16} t^{2} + 2 \, q^{15} t^{3} - q^{14} t^{4} + 10 \, q^{16} t + 27 \, q^{15} t^{2} + 34 \, q^{14} t^{3} + 2 \, q^{13} t^{4} - 3 \, q^{15} t - 20 \, q^{14} t^{2} - 70 \, q^{13} t^{3} - 16 \, q^{12} t^{4} - q^{11} t^{5} - 30 \, q^{12} t^{3} - 10 \, q^{11} t^{4} + 3 \, q^{10} t^{5} - 3 \, q^{12} t^{2} + 10 \, q^{11} t^{3} + 30 \, q^{10} t^{4} + q^{11} t^{2} + 16 \, q^{10} t^{3} + 70 \, q^{9} t^{4} + 20 \, q^{8} t^{5} + 3 \, q^{7} t^{6} - 2 \, q^{9} t^{3} - 34 \, q^{8} t^{4} - 27 \, q^{7} t^{5} - 10 \, q^{6} t^{6} + q^{8} t^{3} - 2 \, q^{7} t^{4} - 36 \, q^{6} t^{5} + 6 \, q^{5} t^{6} - 4 \, q^{6} t^{4} + 14 \, q^{5} t^{5} + q^{4} t^{6} + 6 \, q^{4} t^{5} + 13 \, q^{3} t^{6} - 6 \, q^{2} t^{6} - t^{7}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 1], [0, 6], [1, 3], [2, 4], [2, 5], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + 5 \, q^{17} t - 11 \, q^{16} t - 4 \, q^{15} t - 3 \, q^{14} t^{2} + 6 \, q^{14} t - 11 \, q^{13} t^{2} - q^{13} t + 38 \, q^{12} t^{2} + q^{11} t^{3} - 12 \, q^{11} t^{2} + q^{10} t^{3} - q^{10} t^{2} + 12 \, q^{9} t^{3} - q^{9} t^{2} - 38 \, q^{8} t^{3} + q^{7} t^{4} + 11 \, q^{7} t^{3} - 6 \, q^{6} t^{4} + 3 \, q^{6} t^{3} + 4 \, q^{5} t^{4} + 11 \, q^{4} t^{4} - 5 \, q^{3} t^{4} - t^{5}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 1], [0, 5], [0, 6], [1, 3], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + 4 \, q^{18} t - 5 \, q^{17} t - q^{16} t^{2} - 10 \, q^{16} t - 14 \, q^{15} t^{2} + 2 \, q^{15} t + 17 \, q^{14} t^{2} + 3 \, q^{13} t^{3} + 4 \, q^{14} t + 20 \, q^{13} t^{2} + 8 \, q^{12} t^{3} - q^{13} t + 6 \, q^{12} t^{2} + 9 \, q^{11} t^{3} + q^{10} t^{4} - 14 \, q^{11} t^{2} - 60 \, q^{10} t^{3} - 14 \, q^{9} t^{4} + q^{10} t^{2} + 9 \, q^{9} t^{3} + 6 \, q^{8} t^{4} - q^{7} t^{5} + 8 \, q^{8} t^{3} + 20 \, q^{7} t^{4} + 4 \, q^{6} t^{5} + 3 \, q^{7} t^{3} + 17 \, q^{6} t^{4} + 2 \, q^{5} t^{5} - 14 \, q^{5} t^{4} - 10 \, q^{4} t^{5} - q^{4} t^{4} - 5 \, q^{3} t^{5} + 4 \, q^{2} t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 1], [0, 4], [1, 3], [2, 4], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{21} + 4 \, q^{18} t - 2 \, q^{17} t - 20 \, q^{16} t - q^{15} t^{2} + 16 \, q^{15} t - 14 \, q^{14} t^{2} - 3 \, q^{14} t + 21 \, q^{13} t^{2} + 20 \, q^{12} t^{2} - 16 \, q^{11} t^{2} + 16 \, q^{10} t^{3} - 20 \, q^{9} t^{3} - 21 \, q^{8} t^{3} + 3 \, q^{7} t^{4} + 14 \, q^{7} t^{3} - 16 \, q^{6} t^{4} + q^{6} t^{3} + 20 \, q^{5} t^{4} + 2 \, q^{4} t^{4} - 4 \, q^{3} t^{4} - t^{5}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 1], [0, 5], [0, 6], [1, 3], [1, 4], [2, 3], [2, 4], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + 3 \, q^{15} t + 4 \, q^{14} t - 26 \, q^{13} t + 18 \, q^{12} t - 4 \, q^{11} t^{2} - 3 \, q^{11} t - 7 \, q^{10} t^{2} + 28 \, q^{9} t^{2} - 7 \, q^{8} t^{2} - 3 \, q^{7} t^{3} - 4 \, q^{7} t^{2} + 18 \, q^{6} t^{3} - 26 \, q^{5} t^{3} + 4 \, q^{4} t^{3} + 3 \, q^{3} t^{3} + t^{4}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 1], [0, 5], [0, 6], [1, 3], [1, 4], [2, 3], [2, 4], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + 3 \, q^{15} t + 4 \, q^{14} t - 26 \, q^{13} t + 18 \, q^{12} t - 4 \, q^{11} t^{2} - 3 \, q^{11} t - 7 \, q^{10} t^{2} + 28 \, q^{9} t^{2} - 7 \, q^{8} t^{2} - 3 \, q^{7} t^{3} - 4 \, q^{7} t^{2} + 18 \, q^{6} t^{3} - 26 \, q^{5} t^{3} + 4 \, q^{4} t^{3} + 3 \, q^{3} t^{3} + t^{4}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 1], [0, 5], [0, 6], [1, 3], [1, 4], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 6], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + 3 \, q^{11} t - 3 \, q^{10} t - 6 \, q^{9} t + 2 \, q^{8} t - q^{7} t^{2} + q^{7} t - 2 \, q^{6} t^{2} + 6 \, q^{5} t^{2} + 3 \, q^{4} t^{2} - 3 \, q^{3} t^{2} - t^{3}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 15 edges: | [[0, 1], [0, 5], [0, 6], [1, 3], [1, 4], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + 5 \, q^{17} t - 9 \, q^{16} t - 8 \, q^{15} t - 3 \, q^{14} t^{2} + 8 \, q^{14} t - 15 \, q^{13} t^{2} - q^{13} t + 44 \, q^{12} t^{2} + q^{11} t^{3} - 12 \, q^{11} t^{2} + 3 \, q^{10} t^{3} - 3 \, q^{10} t^{2} + 12 \, q^{9} t^{3} - q^{9} t^{2} - 44 \, q^{8} t^{3} + q^{7} t^{4} + 15 \, q^{7} t^{3} - 8 \, q^{6} t^{4} + 3 \, q^{6} t^{3} + 8 \, q^{5} t^{4} + 9 \, q^{4} t^{4} - 5 \, q^{3} t^{4} - t^{5}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 1], [0, 4], [0, 6], [1, 3], [1, 6], [2, 3], [2, 5], [2, 6], [3, 4], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{24} + 5 \, q^{21} t - 10 \, q^{20} t - 8 \, q^{19} t - 3 \, q^{18} t^{2} + 8 \, q^{18} t - 22 \, q^{17} t^{2} - q^{17} t + 61 \, q^{16} t^{2} + q^{15} t^{3} - 16 \, q^{15} t^{2} + 10 \, q^{14} t^{3} - 3 \, q^{14} t^{2} + 11 \, q^{13} t^{3} - 2 \, q^{13} t^{2} - 64 \, q^{12} t^{3} - 2 \, q^{11} t^{4} + 11 \, q^{11} t^{3} - 3 \, q^{10} t^{4} + 10 \, q^{10} t^{3} - 16 \, q^{9} t^{4} + q^{9} t^{3} + 61 \, q^{8} t^{4} - q^{7} t^{5} - 22 \, q^{7} t^{4} + 8 \, q^{6} t^{5} - 3 \, q^{6} t^{4} - 8 \, q^{5} t^{5} - 10 \, q^{4} t^{5} + 5 \, q^{3} t^{5} + t^{6}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 1], [0, 4], [0, 6], [1, 3], [1, 6], [2, 3], [2, 4], [2, 5], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{21} + 4 \, q^{18} t - 2 \, q^{17} t - 20 \, q^{16} t - q^{15} t^{2} + 16 \, q^{15} t - 14 \, q^{14} t^{2} - 3 \, q^{14} t + 21 \, q^{13} t^{2} + 20 \, q^{12} t^{2} - 16 \, q^{11} t^{2} + 16 \, q^{10} t^{3} - 20 \, q^{9} t^{3} - 21 \, q^{8} t^{3} + 3 \, q^{7} t^{4} + 14 \, q^{7} t^{3} - 16 \, q^{6} t^{4} + q^{6} t^{3} + 20 \, q^{5} t^{4} + 2 \, q^{4} t^{4} - 4 \, q^{3} t^{4} - t^{5}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 1], [0, 4], [0, 6], [1, 3], [1, 5], [2, 3], [2, 4], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + 3 \, q^{15} t - 16 \, q^{13} t + 10 \, q^{12} t - 4 \, q^{11} t^{2} - q^{11} t - 3 \, q^{10} t^{2} + 20 \, q^{9} t^{2} - 3 \, q^{8} t^{2} - q^{7} t^{3} - 4 \, q^{7} t^{2} + 10 \, q^{6} t^{3} - 16 \, q^{5} t^{3} + 3 \, q^{3} t^{3} + t^{4}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 1], [0, 4], [0, 5], [1, 3], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + 15 \, q^{13} t - 34 \, q^{12} t + 14 \, q^{11} t + 5 \, q^{10} t^{2} + 2 \, q^{10} t - 48 \, q^{9} t^{2} - q^{9} t + 92 \, q^{8} t^{2} - q^{7} t^{3} - 48 \, q^{7} t^{2} + 2 \, q^{6} t^{3} + 5 \, q^{6} t^{2} + 14 \, q^{5} t^{3} - 34 \, q^{4} t^{3} + 15 \, q^{3} t^{3} + t^{4}}{{\left(q^{3} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 1], [0, 4], [0, 5], [1, 3], [1, 5], [2, 3], [2, 4], [2, 6], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + 4 \, q^{11} t - 10 \, q^{10} t + 2 \, q^{9} t + q^{8} t - q^{7} t^{2} - 2 \, q^{6} t^{2} + 10 \, q^{5} t^{2} - 4 \, q^{4} t^{2} - t^{3}}{{\left(q^{4} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 17 edges: | [[0, 1], [0, 4], [0, 5], [0, 6], [1, 3], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + 7 \, q^{13} t - 16 \, q^{12} t + 4 \, q^{11} t - 3 \, q^{10} t^{2} - 8 \, q^{9} t^{2} + q^{9} t + 28 \, q^{8} t^{2} + q^{7} t^{3} - 8 \, q^{7} t^{2} - 3 \, q^{6} t^{2} + 4 \, q^{5} t^{3} - 16 \, q^{4} t^{3} + 7 \, q^{3} t^{3} + t^{4}}{{\left(q^{3} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 1], [0, 4], [0, 6], [1, 3], [1, 4], [2, 3], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + 3 \, q^{15} t - 16 \, q^{13} t + 10 \, q^{12} t - 4 \, q^{11} t^{2} - q^{11} t - 3 \, q^{10} t^{2} + 20 \, q^{9} t^{2} - 3 \, q^{8} t^{2} - q^{7} t^{3} - 4 \, q^{7} t^{2} + 10 \, q^{6} t^{3} - 16 \, q^{5} t^{3} + 3 \, q^{3} t^{3} + t^{4}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 14 edges: | [[0, 1], [0, 3], [0, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{9} + q^{7} t + 2 \, q^{6} t - 4 \, q^{5} t - 4 \, q^{4} t + 2 \, q^{3} t + q^{2} t + t^{2}}{{\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 1], [0, 3], [0, 6], [1, 3], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + 11 \, q^{13} t - 24 \, q^{12} t + 6 \, q^{11} t + q^{10} t^{2} + 4 \, q^{10} t - 28 \, q^{9} t^{2} - q^{9} t + 60 \, q^{8} t^{2} - q^{7} t^{3} - 28 \, q^{7} t^{2} + 4 \, q^{6} t^{3} + q^{6} t^{2} + 6 \, q^{5} t^{3} - 24 \, q^{4} t^{3} + 11 \, q^{3} t^{3} + t^{4}}{{\left(q^{3} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 1], [0, 4], [0, 6], [1, 2], [1, 6], [2, 3], [2, 5], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + 11 \, q^{17} t - 19 \, q^{16} t - 10 \, q^{15} t - q^{14} t^{2} + 18 \, q^{14} t - 37 \, q^{13} t^{2} - 5 \, q^{13} t + 82 \, q^{12} t^{2} - 3 \, q^{11} t^{3} - 26 \, q^{11} t^{2} + 11 \, q^{10} t^{3} - 11 \, q^{10} t^{2} + 26 \, q^{9} t^{3} + 3 \, q^{9} t^{2} - 82 \, q^{8} t^{3} + 5 \, q^{7} t^{4} + 37 \, q^{7} t^{3} - 18 \, q^{6} t^{4} + q^{6} t^{3} + 10 \, q^{5} t^{4} + 19 \, q^{4} t^{4} - 11 \, q^{3} t^{4} - t^{5}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 1], [0, 4], [0, 5], [1, 2], [1, 3], [2, 5], [2, 6], [3, 4], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + q^{11} t - q^{10} t - 2 \, q^{9} t - 4 \, q^{8} t - 3 \, q^{7} t^{2} + 3 \, q^{7} t + 4 \, q^{6} t^{2} + 2 \, q^{5} t^{2} + q^{4} t^{2} - q^{3} t^{2} - t^{3}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 16 edges: | [[0, 1], [0, 5], [0, 6], [1, 2], [1, 3], [1, 4], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + 2 \, q^{13} t + 2 \, q^{12} t - q^{11} t^{2} - 11 \, q^{11} t - 4 \, q^{10} t^{2} - 2 \, q^{10} t + 6 \, q^{9} t^{2} + 6 \, q^{9} t + 2 \, q^{8} t^{2} - q^{7} t^{3} - q^{8} t + 2 \, q^{7} t^{2} + 6 \, q^{6} t^{3} + 6 \, q^{6} t^{2} - 2 \, q^{5} t^{3} - 4 \, q^{5} t^{2} - 11 \, q^{4} t^{3} - q^{4} t^{2} + 2 \, q^{3} t^{3} + 2 \, q^{2} t^{3} + t^{4}}{{\left(q^{4} - t\right)} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 11 edges: | [[0, 1], [0, 4], [0, 5], [1, 2], [1, 3], [2, 3], [2, 6], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{11} + 3 \, q^{7} t - 4 \, q^{6} t - 4 \, q^{5} t + 3 \, q^{4} t + t^{2}}{{\left(q^{4} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 17 edges: | [[0, 1], [0, 4], [0, 5], [0, 6], [1, 2], [1, 3], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + 16 \, q^{13} t - 34 \, q^{12} t + 6 \, q^{11} t^{2} + 8 \, q^{11} t - 68 \, q^{10} t^{2} - 8 \, q^{9} t^{3} + 6 \, q^{10} t + 122 \, q^{9} t^{2} + 22 \, q^{8} t^{3} + q^{7} t^{4} - 36 \, q^{8} t^{2} + 36 \, q^{7} t^{3} - q^{8} t - 22 \, q^{7} t^{2} - 122 \, q^{6} t^{3} - 6 \, q^{5} t^{4} + 8 \, q^{6} t^{2} + 68 \, q^{5} t^{3} - 8 \, q^{4} t^{4} - 6 \, q^{4} t^{3} + 34 \, q^{3} t^{4} - 16 \, q^{2} t^{4} - t^{5}}{{\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 1], [0, 3], [1, 2], [2, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 6 \, q^{14} t - 3 \, q^{13} t - 24 \, q^{12} t - q^{11} t^{2} + 22 \, q^{11} t - 10 \, q^{10} t^{2} - 5 \, q^{10} t + 14 \, q^{9} t^{2} + 14 \, q^{8} t^{2} - 5 \, q^{7} t^{3} - 10 \, q^{7} t^{2} + 22 \, q^{6} t^{3} - q^{6} t^{2} - 24 \, q^{5} t^{3} - 3 \, q^{4} t^{3} + 6 \, q^{3} t^{3} + t^{4}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 1], [0, 3], [0, 5], [1, 2], [1, 4], [2, 5], [2, 6], [3, 4], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + 9 \, q^{17} t - 19 \, q^{16} t - 3 \, q^{14} t^{2} + 6 \, q^{14} t - 23 \, q^{13} t^{2} - q^{13} t + 62 \, q^{12} t^{2} + q^{11} t^{3} - 24 \, q^{11} t^{2} + q^{10} t^{3} - q^{10} t^{2} + 24 \, q^{9} t^{3} - q^{9} t^{2} - 62 \, q^{8} t^{3} + q^{7} t^{4} + 23 \, q^{7} t^{3} - 6 \, q^{6} t^{4} + 3 \, q^{6} t^{3} + 19 \, q^{4} t^{4} - 9 \, q^{3} t^{4} - t^{5}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 1], [0, 3], [0, 5], [1, 2], [1, 4], [2, 4], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + 6 \, q^{11} t - 14 \, q^{10} t + 4 \, q^{9} t + q^{8} t - q^{7} t^{2} - 4 \, q^{6} t^{2} + 14 \, q^{5} t^{2} - 6 \, q^{4} t^{2} - t^{3}}{{\left(q^{4} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 16 edges: | [[0, 1], [0, 3], [0, 5], [0, 6], [1, 2], [1, 4], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{20} + 9 \, q^{17} t - 17 \, q^{16} t - 6 \, q^{15} t - q^{14} t^{2} + 12 \, q^{14} t - 31 \, q^{13} t^{2} - 3 \, q^{13} t + 72 \, q^{12} t^{2} - q^{11} t^{3} - 26 \, q^{11} t^{2} + 5 \, q^{10} t^{3} - 5 \, q^{10} t^{2} + 26 \, q^{9} t^{3} + q^{9} t^{2} - 72 \, q^{8} t^{3} + 3 \, q^{7} t^{4} + 31 \, q^{7} t^{3} - 12 \, q^{6} t^{4} + q^{6} t^{3} + 6 \, q^{5} t^{4} + 17 \, q^{4} t^{4} - 9 \, q^{3} t^{4} - t^{5}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 1], [0, 3], [0, 4], [1, 2], [1, 6], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 8 \, q^{14} t - 11 \, q^{13} t - 12 \, q^{12} t + q^{11} t^{2} + 14 \, q^{11} t - 16 \, q^{10} t^{2} - 3 \, q^{10} t + 18 \, q^{9} t^{2} + 18 \, q^{8} t^{2} - 3 \, q^{7} t^{3} - 16 \, q^{7} t^{2} + 14 \, q^{6} t^{3} + q^{6} t^{2} - 12 \, q^{5} t^{3} - 11 \, q^{4} t^{3} + 8 \, q^{3} t^{3} + t^{4}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 1], [0, 3], [0, 4], [1, 2], [1, 4], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + 8 \, q^{11} t - 18 \, q^{10} t + 6 \, q^{9} t + q^{8} t - q^{7} t^{2} - 6 \, q^{6} t^{2} + 18 \, q^{5} t^{2} - 8 \, q^{4} t^{2} - t^{3}}{{\left(q^{4} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 15 edges: | [[0, 1], [0, 3], [0, 4], [0, 5], [1, 2], [1, 4], [1, 6], [2, 3], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + q^{14} t + 8 \, q^{13} t - 2 \, q^{12} t^{2} - 17 \, q^{12} t + 2 \, q^{11} t^{2} - 3 \, q^{10} t^{3} - 10 \, q^{11} t - 20 \, q^{10} t^{2} + 2 \, q^{9} t^{3} + 20 \, q^{10} t + 32 \, q^{9} t^{2} + 25 \, q^{8} t^{3} - q^{7} t^{4} - 8 \, q^{9} t + 22 \, q^{8} t^{2} - 22 \, q^{7} t^{3} + 8 \, q^{6} t^{4} + q^{8} t - 25 \, q^{7} t^{2} - 32 \, q^{6} t^{3} - 20 \, q^{5} t^{4} - 2 \, q^{6} t^{2} + 20 \, q^{5} t^{3} + 10 \, q^{4} t^{4} + 3 \, q^{5} t^{2} - 2 \, q^{4} t^{3} + 17 \, q^{3} t^{4} + 2 \, q^{3} t^{3} - 8 \, q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 1], [0, 2], [1, 6], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{24} + 12 \, q^{22} t - 19 \, q^{21} t + 4 \, q^{20} t^{2} - 24 \, q^{20} t - 100 \, q^{19} t^{2} - 4 \, q^{18} t^{3} + 34 \, q^{19} t + 183 \, q^{18} t^{2} - 12 \, q^{17} t^{3} + 3 \, q^{16} t^{4} - 12 \, q^{18} t - 4 \, q^{17} t^{2} + 304 \, q^{16} t^{3} + 8 \, q^{15} t^{4} + q^{17} t - 74 \, q^{16} t^{2} - 577 \, q^{15} t^{3} + 6 \, q^{14} t^{4} - 5 \, q^{13} t^{5} + 16 \, q^{15} t^{2} + 164 \, q^{14} t^{3} - 464 \, q^{13} t^{4} - 24 \, q^{12} t^{5} + 3 \, q^{14} t^{2} + 98 \, q^{13} t^{3} + 964 \, q^{12} t^{4} + 98 \, q^{11} t^{5} + 3 \, q^{10} t^{6} - 24 \, q^{12} t^{3} - 464 \, q^{11} t^{4} + 164 \, q^{10} t^{5} + 16 \, q^{9} t^{6} - 5 \, q^{11} t^{3} + 6 \, q^{10} t^{4} - 577 \, q^{9} t^{5} - 74 \, q^{8} t^{6} + q^{7} t^{7} + 8 \, q^{9} t^{4} + 304 \, q^{8} t^{5} - 4 \, q^{7} t^{6} - 12 \, q^{6} t^{7} + 3 \, q^{8} t^{4} - 12 \, q^{7} t^{5} + 183 \, q^{6} t^{6} + 34 \, q^{5} t^{7} - 4 \, q^{6} t^{5} - 100 \, q^{5} t^{6} - 24 \, q^{4} t^{7} + 4 \, q^{4} t^{6} - 19 \, q^{3} t^{7} + 12 \, q^{2} t^{7} + t^{8}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 1], [0, 2], [1, 6], [2, 5], [3, 5], [3, 6], [4, 5], [4, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + 12 \, q^{16} t - 23 \, q^{15} t + 4 \, q^{14} t^{2} - 8 \, q^{14} t - 68 \, q^{13} t^{2} - 4 \, q^{12} t^{3} + 20 \, q^{13} t + 134 \, q^{12} t^{2} - 2 \, q^{11} t^{3} + 3 \, q^{10} t^{4} - 8 \, q^{12} t - 48 \, q^{11} t^{2} + 128 \, q^{10} t^{3} - 4 \, q^{9} t^{4} + q^{11} t - 6 \, q^{10} t^{2} - 264 \, q^{9} t^{3} - 6 \, q^{8} t^{4} + q^{7} t^{5} - 4 \, q^{9} t^{2} + 128 \, q^{8} t^{3} - 48 \, q^{7} t^{4} - 8 \, q^{6} t^{5} + 3 \, q^{8} t^{2} - 2 \, q^{7} t^{3} + 134 \, q^{6} t^{4} + 20 \, q^{5} t^{5} - 4 \, q^{6} t^{3} - 68 \, q^{5} t^{4} - 8 \, q^{4} t^{5} + 4 \, q^{4} t^{4} - 23 \, q^{3} t^{5} + 12 \, q^{2} t^{5} + t^{6}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 1], [0, 2], [1, 6], [2, 5], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + q^{15} t + 6 \, q^{14} t - 2 \, q^{13} t^{2} - 16 \, q^{13} t + q^{12} t^{2} - q^{11} t^{3} + 5 \, q^{12} t - 15 \, q^{11} t^{2} + 4 \, q^{10} t^{3} - 8 \, q^{11} t + 32 \, q^{10} t^{2} + 10 \, q^{10} t - 2 \, q^{9} t^{2} + q^{8} t^{3} + 3 \, q^{7} t^{4} - 3 \, q^{9} t - q^{8} t^{2} + 2 \, q^{7} t^{3} - 10 \, q^{6} t^{4} - 32 \, q^{6} t^{3} + 8 \, q^{5} t^{4} - 4 \, q^{6} t^{2} + 15 \, q^{5} t^{3} - 5 \, q^{4} t^{4} + q^{5} t^{2} - q^{4} t^{3} + 16 \, q^{3} t^{4} + 2 \, q^{3} t^{3} - 6 \, q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{4} - t\right)} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 1], [0, 2], [1, 6], [2, 6], [3, 4], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{12} + q^{11} t + 4 \, q^{10} t - 2 \, q^{9} t^{2} - 12 \, q^{9} t - 3 \, q^{8} t^{2} - q^{7} t^{3} + 2 \, q^{8} t + 8 \, q^{7} t^{2} + 4 \, q^{6} t^{3} - 2 \, q^{7} t - 2 \, q^{5} t^{3} + 4 \, q^{6} t + 8 \, q^{5} t^{2} + 2 \, q^{4} t^{3} - q^{5} t - 3 \, q^{4} t^{2} - 12 \, q^{3} t^{3} - 2 \, q^{3} t^{2} + 4 \, q^{2} t^{3} + q t^{3} + t^{4}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 1], [0, 2], [1, 6], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{21} + 10 \, q^{19} t - 20 \, q^{18} t - 4 \, q^{17} t^{2} - 6 \, q^{17} t - 44 \, q^{16} t^{2} + 10 \, q^{16} t + 101 \, q^{15} t^{2} + 6 \, q^{14} t^{3} + q^{13} t^{4} - 10 \, q^{14} t^{2} + 106 \, q^{13} t^{3} + 6 \, q^{12} t^{4} - q^{14} t - 20 \, q^{13} t^{2} - 240 \, q^{12} t^{3} - 40 \, q^{11} t^{4} - 4 \, q^{10} t^{5} - 6 \, q^{12} t^{2} + 60 \, q^{11} t^{3} - 60 \, q^{10} t^{4} + 6 \, q^{9} t^{5} + 4 \, q^{11} t^{2} + 40 \, q^{10} t^{3} + 240 \, q^{9} t^{4} + 20 \, q^{8} t^{5} + q^{7} t^{6} - 6 \, q^{9} t^{3} - 106 \, q^{8} t^{4} + 10 \, q^{7} t^{5} - q^{8} t^{3} - 6 \, q^{7} t^{4} - 101 \, q^{6} t^{5} - 10 \, q^{5} t^{6} + 44 \, q^{5} t^{5} + 6 \, q^{4} t^{6} + 4 \, q^{4} t^{5} + 20 \, q^{3} t^{6} - 10 \, q^{2} t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 1], [0, 2], [1, 6], [2, 5], [3, 4], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{13} + 9 \, q^{11} t - 18 \, q^{10} t - q^{9} t^{2} + 4 \, q^{9} t - 10 \, q^{8} t^{2} - q^{7} t^{3} - 2 \, q^{8} t + 14 \, q^{7} t^{2} + 4 \, q^{6} t^{3} + 4 \, q^{7} t + 14 \, q^{6} t^{2} - 2 \, q^{5} t^{3} - q^{6} t - 10 \, q^{5} t^{2} + 4 \, q^{4} t^{3} - q^{4} t^{2} - 18 \, q^{3} t^{3} + 9 \, q^{2} t^{3} + t^{4}}{{\left(q^{2} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 10 edges: | [[0, 1], [0, 2], [1, 6], [2, 5], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + 9 \, q^{13} t - 20 \, q^{12} t + 4 \, q^{11} t - q^{10} t^{2} + 4 \, q^{10} t - 16 \, q^{9} t^{2} - q^{9} t + 40 \, q^{8} t^{2} - q^{7} t^{3} - 16 \, q^{7} t^{2} + 4 \, q^{6} t^{3} - q^{6} t^{2} + 4 \, q^{5} t^{3} - 20 \, q^{4} t^{3} + 9 \, q^{3} t^{3} + t^{4}}{{\left(q^{3} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 1], [0, 2], [0, 6], [1, 5], [1, 6], [2, 4], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + 7 \, q^{13} t - 14 \, q^{12} t - 2 \, q^{11} t - 3 \, q^{10} t^{2} + 6 \, q^{10} t - 8 \, q^{9} t^{2} - q^{9} t + 28 \, q^{8} t^{2} - q^{7} t^{3} - 8 \, q^{7} t^{2} + 6 \, q^{6} t^{3} - 3 \, q^{6} t^{2} - 2 \, q^{5} t^{3} - 14 \, q^{4} t^{3} + 7 \, q^{3} t^{3} + t^{4}}{{\left(q^{3} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 1], [0, 2], [0, 5], [1, 5], [1, 6], [2, 4], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{24} + 7 \, q^{21} t - 12 \, q^{20} t - 12 \, q^{19} t - 3 \, q^{18} t^{2} + 14 \, q^{18} t - 30 \, q^{17} t^{2} - 3 \, q^{17} t + 73 \, q^{16} t^{2} - q^{15} t^{3} - 12 \, q^{15} t^{2} + 16 \, q^{14} t^{3} - 15 \, q^{14} t^{2} + 17 \, q^{13} t^{3} + 2 \, q^{13} t^{2} - 84 \, q^{12} t^{3} + 2 \, q^{11} t^{4} + 17 \, q^{11} t^{3} - 15 \, q^{10} t^{4} + 16 \, q^{10} t^{3} - 12 \, q^{9} t^{4} - q^{9} t^{3} + 73 \, q^{8} t^{4} - 3 \, q^{7} t^{5} - 30 \, q^{7} t^{4} + 14 \, q^{6} t^{5} - 3 \, q^{6} t^{4} - 12 \, q^{5} t^{5} - 12 \, q^{4} t^{5} + 7 \, q^{3} t^{5} + t^{6}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 1], [0, 2], [0, 6], [1, 4], [1, 5], [2, 4], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{24} + 7 \, q^{21} t - 12 \, q^{20} t - 12 \, q^{19} t - 3 \, q^{18} t^{2} + 14 \, q^{18} t - 30 \, q^{17} t^{2} - 3 \, q^{17} t + 73 \, q^{16} t^{2} - q^{15} t^{3} - 12 \, q^{15} t^{2} + 16 \, q^{14} t^{3} - 15 \, q^{14} t^{2} + 17 \, q^{13} t^{3} + 2 \, q^{13} t^{2} - 84 \, q^{12} t^{3} + 2 \, q^{11} t^{4} + 17 \, q^{11} t^{3} - 15 \, q^{10} t^{4} + 16 \, q^{10} t^{3} - 12 \, q^{9} t^{4} - q^{9} t^{3} + 73 \, q^{8} t^{4} - 3 \, q^{7} t^{5} - 30 \, q^{7} t^{4} + 14 \, q^{6} t^{5} - 3 \, q^{6} t^{4} - 12 \, q^{5} t^{5} - 12 \, q^{4} t^{5} + 7 \, q^{3} t^{5} + t^{6}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 1], [0, 2], [0, 6], [1, 4], [1, 5], [2, 4], [2, 5], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + q^{13} t + 4 \, q^{12} t - 12 \, q^{11} t - 6 \, q^{10} t^{2} - 2 \, q^{10} t + 7 \, q^{9} t^{2} + 6 \, q^{9} t + 2 \, q^{8} t^{2} - q^{7} t^{3} - q^{8} t + 2 \, q^{7} t^{2} + 6 \, q^{6} t^{3} + 7 \, q^{6} t^{2} - 2 \, q^{5} t^{3} - 6 \, q^{5} t^{2} - 12 \, q^{4} t^{3} + 4 \, q^{3} t^{3} + q^{2} t^{3} + t^{4}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 1], [0, 2], [1, 5], [1, 6], [2, 3], [2, 4], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 6 \, q^{14} t - 9 \, q^{13} t - 8 \, q^{12} t - q^{11} t^{2} + 8 \, q^{11} t - 8 \, q^{10} t^{2} - q^{10} t + 12 \, q^{9} t^{2} + 12 \, q^{8} t^{2} - q^{7} t^{3} - 8 \, q^{7} t^{2} + 8 \, q^{6} t^{3} - q^{6} t^{2} - 8 \, q^{5} t^{3} - 9 \, q^{4} t^{3} + 6 \, q^{3} t^{3} + t^{4}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 1], [0, 2], [0, 6], [1, 5], [1, 6], [2, 3], [2, 4], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 4 \, q^{14} t - q^{13} t - 20 \, q^{12} t - 3 \, q^{11} t^{2} + 16 \, q^{11} t - 2 \, q^{10} t^{2} - 3 \, q^{10} t + 8 \, q^{9} t^{2} + 8 \, q^{8} t^{2} - 3 \, q^{7} t^{3} - 2 \, q^{7} t^{2} + 16 \, q^{6} t^{3} - 3 \, q^{6} t^{2} - 20 \, q^{5} t^{3} - q^{4} t^{3} + 4 \, q^{3} t^{3} + t^{4}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 13 edges: | [[0, 1], [0, 2], [0, 5], [1, 4], [1, 6], [2, 3], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{17} + 6 \, q^{14} t - 3 \, q^{13} t - 24 \, q^{12} t - q^{11} t^{2} + 22 \, q^{11} t - 10 \, q^{10} t^{2} - 5 \, q^{10} t + 14 \, q^{9} t^{2} + 14 \, q^{8} t^{2} - 5 \, q^{7} t^{3} - 10 \, q^{7} t^{2} + 22 \, q^{6} t^{3} - q^{6} t^{2} - 24 \, q^{5} t^{3} - 3 \, q^{4} t^{3} + 6 \, q^{3} t^{3} + t^{4}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 1], [0, 2], [0, 3], [1, 5], [1, 6], [2, 4], [2, 6], [3, 4], [3, 5], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{18} + q^{15} t + 2 \, q^{14} t - 12 \, q^{13} t + 4 \, q^{12} t - 8 \, q^{11} t^{2} + q^{11} t + 17 \, q^{10} t^{2} - 12 \, q^{9} t^{2} + 17 \, q^{8} t^{2} + q^{7} t^{3} - 8 \, q^{7} t^{2} + 4 \, q^{6} t^{3} - 12 \, q^{5} t^{3} + 2 \, q^{4} t^{3} + q^{3} t^{3} + t^{4}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 15 edges: | [[0, 1], [0, 2], [0, 3], [1, 4], [1, 5], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{15} + 6 \, q^{11} t - 14 \, q^{10} t + 4 \, q^{9} t + q^{8} t - q^{7} t^{2} - 4 \, q^{6} t^{2} + 14 \, q^{5} t^{2} - 6 \, q^{4} t^{2} - t^{3}}{{\left(q^{4} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 16 edges: | [[0, 1], [0, 2], [0, 3], [0, 6], [1, 4], [1, 5], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + q^{11} t + q^{10} t - 6 \, q^{9} t - 2 \, q^{8} t - 3 \, q^{7} t^{2} + 3 \, q^{7} t + 2 \, q^{6} t^{2} + 6 \, q^{5} t^{2} - q^{4} t^{2} - q^{3} t^{2} - t^{3}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 15 edges: | [[0, 1], [0, 2], [0, 3], [0, 4], [1, 4], [1, 5], [1, 6], [2, 3], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{11} t + q^{11} - 2 \, q^{9} t^{2} + 2 \, q^{9} t - q^{7} t^{3} - 10 \, q^{8} t - q^{7} t^{2} + 4 \, q^{6} t^{3} + 2 \, q^{7} t + 6 \, q^{6} t^{2} - 2 \, q^{5} t^{3} - 2 \, q^{6} t + 6 \, q^{5} t^{2} + 2 \, q^{4} t^{3} + 4 \, q^{5} t - q^{4} t^{2} - 10 \, q^{3} t^{3} - q^{4} t + 2 \, q^{2} t^{3} - 2 \, q^{2} t^{2} + t^{4} + t^{3}}{{\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 8 edges: | [[0, 1], [0, 2], [1, 2], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle -\frac{q^{7} t + q^{7} - 2 \, q^{4} t - 2 \, q^{3} t + t^{2} + t}{q^{7} {\left(t - 1\right)}^{3}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 9 edges: | [[0, 1], [0, 2], [1, 2], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{14} + 2 \, q^{12} t - q^{11} t - q^{10} t^{2} - 8 \, q^{10} t - 4 \, q^{9} t^{2} + 2 \, q^{9} t + 6 \, q^{8} t^{2} + q^{7} t^{3} + 4 \, q^{7} t^{2} + q^{7} t + 6 \, q^{6} t^{2} + 2 \, q^{5} t^{3} - 4 \, q^{5} t^{2} - 8 \, q^{4} t^{3} - q^{4} t^{2} - q^{3} t^{3} + 2 \, q^{2} t^{3} + t^{4}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 1], [0, 2], [0, 6], [1, 2], [1, 6], [2, 5], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{16} + 11 \, q^{13} t - 26 \, q^{12} t + 12 \, q^{11} t - q^{10} t^{2} - 2 \, q^{10} t - 20 \, q^{9} t^{2} + q^{9} t + 48 \, q^{8} t^{2} + q^{7} t^{3} - 20 \, q^{7} t^{2} - 2 \, q^{6} t^{3} - q^{6} t^{2} + 12 \, q^{5} t^{3} - 26 \, q^{4} t^{3} + 11 \, q^{3} t^{3} + t^{4}}{{\left(q^{3} - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 12 edges: | [[0, 1], [0, 2], [0, 6], [1, 2], [1, 5], [2, 4], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |
| Zeta functions | |
|---|---|
| ask[#]: | \(\displaystyle \frac{q^{7} - t}{q^{7} {\left(t - 1\right)}^{2}}\) |
| Graph: | |
|---|---|
| 7 vertices: | [0, 1, 2, 3, 4, 5, 6] |
| 21 edges: | [[0, 1], [0, 2], [0, 3], [0, 4], [0, 5], [0, 6], [1, 2], [1, 3], [1, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]] |