| 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[#]: | \(\displaystyle \frac{q^{12} + 27 \, q^{11} t + 62 \, q^{10} t^{2} - 18 \, q^{9} t^{3} - 23 \, q^{8} t^{4} - q^{7} t^{5} - 68 \, q^{10} t - 308 \, q^{9} t^{2} - 36 \, q^{8} t^{3} + 116 \, q^{7} t^{4} + 8 \, q^{6} t^{5} + 34 \, q^{9} t + 460 \, q^{8} t^{2} + 396 \, q^{7} t^{3} - 148 \, q^{6} t^{4} - 22 \, q^{5} t^{5} + 16 \, q^{8} t - 144 \, q^{7} t^{2} - 704 \, q^{6} t^{3} - 144 \, q^{5} t^{4} + 16 \, q^{4} t^{5} - 22 \, q^{7} t - 148 \, q^{6} t^{2} + 396 \, q^{5} t^{3} + 460 \, q^{4} t^{4} + 34 \, q^{3} t^{5} + 8 \, q^{6} t + 116 \, q^{5} t^{2} - 36 \, q^{4} t^{3} - 308 \, q^{3} t^{4} - 68 \, q^{2} t^{5} - q^{5} t - 23 \, q^{4} t^{2} - 18 \, q^{3} t^{3} + 62 \, q^{2} t^{4} + 27 \, q t^{5} + t^{6}}{{\left(q - t\right)}^{5} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{16} + 15 \, q^{15} t + 14 \, q^{14} t^{2} - 18 \, q^{13} t^{3} + 13 \, q^{12} t^{4} - q^{11} t^{5} - 24 \, q^{14} t - 130 \, q^{13} t^{2} - 40 \, q^{12} t^{3} + 4 \, q^{11} t^{4} + 8 \, q^{10} t^{5} - 10 \, q^{9} t^{6} - 34 \, q^{13} t + 197 \, q^{12} t^{2} + 539 \, q^{11} t^{3} + 18 \, q^{10} t^{4} - 88 \, q^{9} t^{5} + 41 \, q^{8} t^{6} - q^{7} t^{7} + 64 \, q^{12} t + 32 \, q^{11} t^{2} - 958 \, q^{10} t^{3} - 616 \, q^{9} t^{4} + 140 \, q^{8} t^{5} - 16 \, q^{7} t^{6} + 10 \, q^{6} t^{7} - 38 \, q^{11} t - 100 \, q^{10} t^{2} + 362 \, q^{9} t^{3} + 1232 \, q^{8} t^{4} + 362 \, q^{7} t^{5} - 100 \, q^{6} t^{6} - 38 \, q^{5} t^{7} + 10 \, q^{10} t - 16 \, q^{9} t^{2} + 140 \, q^{8} t^{3} - 616 \, q^{7} t^{4} - 958 \, q^{6} t^{5} + 32 \, q^{5} t^{6} + 64 \, q^{4} t^{7} - q^{9} t + 41 \, q^{8} t^{2} - 88 \, q^{7} t^{3} + 18 \, q^{6} t^{4} + 539 \, q^{5} t^{5} + 197 \, q^{4} t^{6} - 34 \, q^{3} t^{7} - 10 \, q^{7} t^{2} + 8 \, q^{6} t^{3} + 4 \, q^{5} t^{4} - 40 \, q^{4} t^{5} - 130 \, q^{3} t^{6} - 24 \, q^{2} t^{7} - q^{5} t^{3} + 13 \, q^{4} t^{4} - 18 \, q^{3} t^{5} + 14 \, q^{2} t^{6} + 15 \, q t^{7} + t^{8}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{5} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{18} + 9 \, q^{17} t - 4 \, q^{16} t^{2} - 2 \, q^{15} t^{3} + 7 \, q^{14} t^{4} - 3 \, q^{13} t^{5} - 5 \, q^{16} t - 65 \, q^{15} t^{2} - 36 \, q^{14} t^{3} + 58 \, q^{13} t^{4} - 27 \, q^{12} t^{5} + 3 \, q^{11} t^{6} - 58 \, q^{15} t + 127 \, q^{14} t^{2} + 395 \, q^{13} t^{3} - 222 \, q^{12} t^{4} + 48 \, q^{11} t^{5} - 17 \, q^{10} t^{6} + 15 \, q^{9} t^{7} + 76 \, q^{14} t + 16 \, q^{13} t^{2} - 593 \, q^{12} t^{3} - 287 \, q^{11} t^{4} + 38 \, q^{10} t^{5} + 158 \, q^{9} t^{6} - 81 \, q^{8} t^{7} + q^{7} t^{8} - 40 \, q^{13} t + 26 \, q^{12} t^{2} - 146 \, q^{11} t^{3} + 1058 \, q^{10} t^{4} + 432 \, q^{9} t^{5} - 442 \, q^{8} t^{6} + 130 \, q^{7} t^{7} - 10 \, q^{6} t^{8} + 10 \, q^{12} t - 130 \, q^{11} t^{2} + 442 \, q^{10} t^{3} - 432 \, q^{9} t^{4} - 1058 \, q^{8} t^{5} + 146 \, q^{7} t^{6} - 26 \, q^{6} t^{7} + 40 \, q^{5} t^{8} - q^{11} t + 81 \, q^{10} t^{2} - 158 \, q^{9} t^{3} - 38 \, q^{8} t^{4} + 287 \, q^{7} t^{5} + 593 \, q^{6} t^{6} - 16 \, q^{5} t^{7} - 76 \, q^{4} t^{8} - 15 \, q^{9} t^{2} + 17 \, q^{8} t^{3} - 48 \, q^{7} t^{4} + 222 \, q^{6} t^{5} - 395 \, q^{5} t^{6} - 127 \, q^{4} t^{7} + 58 \, q^{3} t^{8} - 3 \, q^{7} t^{3} + 27 \, q^{6} t^{4} - 58 \, q^{5} t^{5} + 36 \, q^{4} t^{6} + 65 \, q^{3} t^{7} + 5 \, q^{2} t^{8} + 3 \, q^{5} t^{4} - 7 \, q^{4} t^{5} + 2 \, q^{3} t^{6} + 4 \, q^{2} t^{7} - 9 \, q t^{8} - t^{9}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{5} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{20} + 2 \, q^{19} t - q^{18} t^{2} + 18 \, q^{18} t - 8 \, q^{17} t^{2} - 10 \, q^{16} t^{3} - 75 \, q^{17} t + 16 \, q^{16} t^{2} - 7 \, q^{15} t^{3} + 24 \, q^{14} t^{4} + 76 \, q^{16} t - 132 \, q^{15} t^{2} + 222 \, q^{14} t^{3} - 76 \, q^{13} t^{4} + 22 \, q^{12} t^{5} - 38 \, q^{15} t + 430 \, q^{14} t^{2} - 406 \, q^{13} t^{3} + 137 \, q^{12} t^{4} - 166 \, q^{11} t^{5} + q^{10} t^{6} + 10 \, q^{14} t - 428 \, q^{13} t^{2} + 296 \, q^{12} t^{3} - 508 \, q^{11} t^{4} + 422 \, q^{10} t^{5} - 32 \, q^{9} t^{6} - q^{13} t + 182 \, q^{12} t^{2} - 429 \, q^{11} t^{3} + 916 \, q^{10} t^{4} - 429 \, q^{9} t^{5} + 182 \, q^{8} t^{6} - q^{7} t^{7} - 32 \, q^{11} t^{2} + 422 \, q^{10} t^{3} - 508 \, q^{9} t^{4} + 296 \, q^{8} t^{5} - 428 \, q^{7} t^{6} + 10 \, q^{6} t^{7} + q^{10} t^{2} - 166 \, q^{9} t^{3} + 137 \, q^{8} t^{4} - 406 \, q^{7} t^{5} + 430 \, q^{6} t^{6} - 38 \, q^{5} t^{7} + 22 \, q^{8} t^{3} - 76 \, q^{7} t^{4} + 222 \, q^{6} t^{5} - 132 \, q^{5} t^{6} + 76 \, q^{4} t^{7} + 24 \, q^{6} t^{4} - 7 \, q^{5} t^{5} + 16 \, q^{4} t^{6} - 75 \, q^{3} t^{7} - 10 \, q^{4} t^{5} - 8 \, q^{3} t^{6} + 18 \, q^{2} t^{7} - q^{2} t^{6} + 2 \, q t^{7} + t^{8}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{4} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{18} + 13 \, q^{17} t + 4 \, q^{16} t^{2} - 14 \, q^{15} t^{3} + 7 \, q^{14} t^{4} + q^{13} t^{5} - 19 \, q^{16} t - 99 \, q^{15} t^{2} - 20 \, q^{14} t^{3} + 64 \, q^{13} t^{4} - 33 \, q^{12} t^{5} - q^{11} t^{6} - 40 \, q^{15} t + 155 \, q^{14} t^{2} + 457 \, q^{13} t^{3} - 154 \, q^{12} t^{4} + 16 \, q^{11} t^{5} - 13 \, q^{10} t^{6} + 11 \, q^{9} t^{7} + 66 \, q^{14} t + 78 \, q^{13} t^{2} - 731 \, q^{12} t^{3} - 613 \, q^{11} t^{4} + 44 \, q^{10} t^{5} + 194 \, q^{9} t^{6} - 47 \, q^{8} t^{7} + q^{7} t^{8} - 38 \, q^{13} t - 112 \, q^{12} t^{2} - 92 \, q^{11} t^{3} + 1542 \, q^{10} t^{4} + 692 \, q^{9} t^{5} - 496 \, q^{8} t^{6} + 26 \, q^{7} t^{7} - 10 \, q^{6} t^{8} + 10 \, q^{12} t - 26 \, q^{11} t^{2} + 496 \, q^{10} t^{3} - 692 \, q^{9} t^{4} - 1542 \, q^{8} t^{5} + 92 \, q^{7} t^{6} + 112 \, q^{6} t^{7} + 38 \, q^{5} t^{8} - q^{11} t + 47 \, q^{10} t^{2} - 194 \, q^{9} t^{3} - 44 \, q^{8} t^{4} + 613 \, q^{7} t^{5} + 731 \, q^{6} t^{6} - 78 \, q^{5} t^{7} - 66 \, q^{4} t^{8} - 11 \, q^{9} t^{2} + 13 \, q^{8} t^{3} - 16 \, q^{7} t^{4} + 154 \, q^{6} t^{5} - 457 \, q^{5} t^{6} - 155 \, q^{4} t^{7} + 40 \, q^{3} t^{8} + q^{7} t^{3} + 33 \, q^{6} t^{4} - 64 \, q^{5} t^{5} + 20 \, q^{4} t^{6} + 99 \, q^{3} t^{7} + 19 \, q^{2} t^{8} - q^{5} t^{4} - 7 \, q^{4} t^{5} + 14 \, q^{3} t^{6} - 4 \, q^{2} t^{7} - 13 \, q t^{8} - t^{9}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{5} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{11} + 12 \, q^{10} t + 8 \, q^{9} t^{2} - 8 \, q^{8} t^{3} - q^{7} t^{4} - 26 \, q^{9} t - 50 \, q^{8} t^{2} + 22 \, q^{7} t^{3} + 6 \, q^{6} t^{4} + 10 \, q^{8} t + 64 \, q^{7} t^{2} - 2 \, q^{6} t^{3} - 12 \, q^{5} t^{4} - 8 \, q^{7} t + 8 \, q^{4} t^{4} + 12 \, q^{6} t + 2 \, q^{5} t^{2} - 64 \, q^{4} t^{3} - 10 \, q^{3} t^{4} - 6 \, q^{5} t - 22 \, q^{4} t^{2} + 50 \, q^{3} t^{3} + 26 \, q^{2} t^{4} + q^{4} t + 8 \, q^{3} t^{2} - 8 \, q^{2} t^{3} - 12 \, q t^{4} - t^{5}}{{\left(q - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{14} + 13 \, q^{13} t + 4 \, q^{12} t^{2} - 20 \, q^{11} t^{3} + 5 \, q^{10} t^{4} + q^{9} t^{5} - 23 \, q^{12} t - 73 \, q^{11} t^{2} + 52 \, q^{10} t^{3} + 24 \, q^{9} t^{4} - 7 \, q^{8} t^{5} - q^{7} t^{6} - 14 \, q^{11} t + 108 \, q^{10} t^{2} + 110 \, q^{9} t^{3} - 106 \, q^{8} t^{4} - 18 \, q^{7} t^{5} + 4 \, q^{6} t^{6} + 22 \, q^{10} t + 58 \, q^{9} t^{2} - 288 \, q^{8} t^{3} - 34 \, q^{7} t^{4} + 100 \, q^{6} t^{5} + 2 \, q^{5} t^{6} - 2 \, q^{9} t - 100 \, q^{8} t^{2} + 34 \, q^{7} t^{3} + 288 \, q^{6} t^{4} - 58 \, q^{5} t^{5} - 22 \, q^{4} t^{6} - 4 \, q^{8} t + 18 \, q^{7} t^{2} + 106 \, q^{6} t^{3} - 110 \, q^{5} t^{4} - 108 \, q^{4} t^{5} + 14 \, q^{3} t^{6} + q^{7} t + 7 \, q^{6} t^{2} - 24 \, q^{5} t^{3} - 52 \, q^{4} t^{4} + 73 \, q^{3} t^{5} + 23 \, q^{2} t^{6} - q^{5} t^{2} - 5 \, q^{4} t^{3} + 20 \, q^{3} t^{4} - 4 \, q^{2} t^{5} - 13 \, q t^{6} - t^{7}}{{\left(q^{2} - t\right)} {\left(q - t\right)}^{5} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{14} + 7 \, q^{13} t + 3 \, q^{12} t^{2} - 3 \, q^{11} t^{3} - 14 \, q^{11} t^{2} - 8 \, q^{10} t^{3} - 2 \, q^{9} t^{4} - 40 \, q^{11} t - 45 \, q^{10} t^{2} + 43 \, q^{9} t^{3} + 25 \, q^{8} t^{4} + q^{7} t^{5} + 34 \, q^{10} t + 136 \, q^{9} t^{2} + 34 \, q^{8} t^{3} - 48 \, q^{7} t^{4} - 4 \, q^{6} t^{5} - 4 \, q^{9} t - 40 \, q^{8} t^{2} - 152 \, q^{7} t^{3} - 40 \, q^{6} t^{4} - 4 \, q^{5} t^{5} - 4 \, q^{8} t - 48 \, q^{7} t^{2} + 34 \, q^{6} t^{3} + 136 \, q^{5} t^{4} + 34 \, q^{4} t^{5} + q^{7} t + 25 \, q^{6} t^{2} + 43 \, q^{5} t^{3} - 45 \, q^{4} t^{4} - 40 \, q^{3} t^{5} - 2 \, q^{5} t^{2} - 8 \, q^{4} t^{3} - 14 \, q^{3} t^{4} - 3 \, q^{3} t^{3} + 3 \, q^{2} t^{4} + 7 \, q t^{5} + t^{6}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{14} + 5 \, q^{13} t - q^{12} t^{2} - q^{11} t^{3} - 6 \, q^{12} t - 14 \, q^{11} t^{2} - 4 \, q^{10} t^{3} + 4 \, q^{9} t^{4} - 12 \, q^{11} t + 21 \, q^{10} t^{2} + 35 \, q^{9} t^{3} - 5 \, q^{8} t^{4} + q^{7} t^{5} + 2 \, q^{10} t + 6 \, q^{9} t^{2} - 26 \, q^{8} t^{3} - 20 \, q^{7} t^{4} - 6 \, q^{6} t^{5} + 10 \, q^{9} t + 24 \, q^{8} t^{2} - 28 \, q^{7} t^{3} + 24 \, q^{6} t^{4} + 10 \, q^{5} t^{5} - 6 \, q^{8} t - 20 \, q^{7} t^{2} - 26 \, q^{6} t^{3} + 6 \, q^{5} t^{4} + 2 \, q^{4} t^{5} + q^{7} t - 5 \, q^{6} t^{2} + 35 \, q^{5} t^{3} + 21 \, q^{4} t^{4} - 12 \, q^{3} t^{5} + 4 \, q^{5} t^{2} - 4 \, q^{4} t^{3} - 14 \, q^{3} t^{4} - 6 \, q^{2} t^{5} - q^{3} t^{3} - q^{2} t^{4} + 5 \, q t^{5} + t^{6}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{16} + 9 \, q^{15} t - 4 \, q^{14} t^{2} - 8 \, q^{13} t^{3} + 9 \, q^{12} t^{4} - 3 \, q^{11} t^{5} - 10 \, q^{14} t - 52 \, q^{13} t^{2} + 20 \, q^{12} t^{3} + 14 \, q^{11} t^{4} - 2 \, q^{10} t^{5} - 2 \, q^{9} t^{6} - 32 \, q^{13} t + 93 \, q^{12} t^{2} + 179 \, q^{11} t^{3} - 122 \, q^{10} t^{4} - 28 \, q^{9} t^{5} + 21 \, q^{8} t^{6} + q^{7} t^{7} + 32 \, q^{12} t + 52 \, q^{11} t^{2} - 356 \, q^{10} t^{3} - 82 \, q^{9} t^{4} + 160 \, q^{8} t^{5} - 26 \, q^{7} t^{6} - 4 \, q^{6} t^{7} - 4 \, q^{11} t - 54 \, q^{10} t^{2} - 18 \, q^{9} t^{3} + 432 \, q^{8} t^{4} - 18 \, q^{7} t^{5} - 54 \, q^{6} t^{6} - 4 \, q^{5} t^{7} - 4 \, q^{10} t - 26 \, q^{9} t^{2} + 160 \, q^{8} t^{3} - 82 \, q^{7} t^{4} - 356 \, q^{6} t^{5} + 52 \, q^{5} t^{6} + 32 \, q^{4} t^{7} + q^{9} t + 21 \, q^{8} t^{2} - 28 \, q^{7} t^{3} - 122 \, q^{6} t^{4} + 179 \, q^{5} t^{5} + 93 \, q^{4} t^{6} - 32 \, q^{3} t^{7} - 2 \, q^{7} t^{2} - 2 \, q^{6} t^{3} + 14 \, q^{5} t^{4} + 20 \, q^{4} t^{5} - 52 \, q^{3} t^{6} - 10 \, q^{2} t^{7} - 3 \, q^{5} t^{3} + 9 \, q^{4} t^{4} - 8 \, q^{3} t^{5} - 4 \, q^{2} t^{6} + 9 \, q t^{7} + t^{8}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{5} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{16} + 5 \, q^{15} t - q^{14} t^{2} - q^{13} t^{3} - 3 \, q^{14} t - 15 \, q^{13} t^{2} - 9 \, q^{12} t^{3} + 7 \, q^{11} t^{4} - 22 \, q^{13} t - q^{12} t^{2} + 63 \, q^{11} t^{3} - 7 \, q^{10} t^{4} - q^{9} t^{5} + 10 \, q^{12} t + 62 \, q^{11} t^{2} - 21 \, q^{10} t^{3} - 37 \, q^{9} t^{4} - 13 \, q^{8} t^{5} - q^{7} t^{6} + 8 \, q^{11} t + 10 \, q^{10} t^{2} - 116 \, q^{9} t^{3} - 12 \, q^{8} t^{4} + 48 \, q^{7} t^{5} + 6 \, q^{6} t^{6} - 6 \, q^{10} t - 48 \, q^{9} t^{2} + 12 \, q^{8} t^{3} + 116 \, q^{7} t^{4} - 10 \, q^{6} t^{5} - 8 \, q^{5} t^{6} + q^{9} t + 13 \, q^{8} t^{2} + 37 \, q^{7} t^{3} + 21 \, q^{6} t^{4} - 62 \, q^{5} t^{5} - 10 \, q^{4} t^{6} + q^{7} t^{2} + 7 \, q^{6} t^{3} - 63 \, q^{5} t^{4} + q^{4} t^{5} + 22 \, q^{3} t^{6} - 7 \, q^{5} t^{3} + 9 \, q^{4} t^{4} + 15 \, q^{3} t^{5} + 3 \, q^{2} t^{6} + q^{3} t^{4} + q^{2} t^{5} - 5 \, q t^{6} - t^{7}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{18} + 2 \, q^{17} t - q^{16} t^{2} + 3 \, q^{16} t - 6 \, q^{15} t^{2} - 3 \, q^{14} t^{3} - 19 \, q^{15} t + q^{14} t^{2} + 11 \, q^{13} t^{3} + 7 \, q^{12} t^{4} + q^{13} t^{2} + 23 \, q^{12} t^{3} - 17 \, q^{11} t^{4} + q^{10} t^{5} + 12 \, q^{13} t + 56 \, q^{12} t^{2} - 17 \, q^{11} t^{3} - 8 \, q^{10} t^{4} - 13 \, q^{9} t^{5} - 6 \, q^{12} t - 12 \, q^{11} t^{2} - 88 \, q^{10} t^{3} - 21 \, q^{9} t^{4} + 30 \, q^{8} t^{5} - q^{7} t^{6} + q^{11} t - 30 \, q^{10} t^{2} + 21 \, q^{9} t^{3} + 88 \, q^{8} t^{4} + 12 \, q^{7} t^{5} + 6 \, q^{6} t^{6} + 13 \, q^{9} t^{2} + 8 \, q^{8} t^{3} + 17 \, q^{7} t^{4} - 56 \, q^{6} t^{5} - 12 \, q^{5} t^{6} - q^{8} t^{2} + 17 \, q^{7} t^{3} - 23 \, q^{6} t^{4} - q^{5} t^{5} - 7 \, q^{6} t^{3} - 11 \, q^{5} t^{4} - q^{4} t^{5} + 19 \, q^{3} t^{6} + 3 \, q^{4} t^{4} + 6 \, q^{3} t^{5} - 3 \, q^{2} t^{6} + q^{2} t^{5} - 2 \, q t^{6} - t^{7}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{16} + 5 \, q^{15} t - q^{14} t^{2} - q^{13} t^{3} + q^{14} t - 15 \, q^{13} t^{2} - 13 \, q^{12} t^{3} + 7 \, q^{11} t^{4} - 36 \, q^{13} t - q^{12} t^{2} + 69 \, q^{11} t^{3} - 3 \, q^{10} t^{4} + 3 \, q^{9} t^{5} + 28 \, q^{12} t + 52 \, q^{11} t^{2} - 5 \, q^{10} t^{3} - 39 \, q^{9} t^{4} - 35 \, q^{8} t^{5} - q^{7} t^{6} - 2 \, q^{11} t + 44 \, q^{10} t^{2} - 156 \, q^{9} t^{3} - 36 \, q^{8} t^{4} + 90 \, q^{7} t^{5} + 4 \, q^{6} t^{6} - 4 \, q^{10} t - 90 \, q^{9} t^{2} + 36 \, q^{8} t^{3} + 156 \, q^{7} t^{4} - 44 \, q^{6} t^{5} + 2 \, q^{5} t^{6} + q^{9} t + 35 \, q^{8} t^{2} + 39 \, q^{7} t^{3} + 5 \, q^{6} t^{4} - 52 \, q^{5} t^{5} - 28 \, q^{4} t^{6} - 3 \, q^{7} t^{2} + 3 \, q^{6} t^{3} - 69 \, q^{5} t^{4} + q^{4} t^{5} + 36 \, q^{3} t^{6} - 7 \, q^{5} t^{3} + 13 \, q^{4} t^{4} + 15 \, q^{3} t^{5} - q^{2} t^{6} + q^{3} t^{4} + q^{2} t^{5} - 5 \, q t^{6} - t^{7}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{15} + 4 \, q^{14} t + q^{13} t^{2} + 5 \, q^{13} t - 4 \, q^{12} t^{2} - 7 \, q^{11} t^{3} - 34 \, q^{12} t - 35 \, q^{11} t^{2} + 8 \, q^{10} t^{3} + q^{9} t^{4} + 18 \, q^{11} t + 60 \, q^{10} t^{2} + 59 \, q^{9} t^{3} + 18 \, q^{8} t^{4} + q^{7} t^{5} + 6 \, q^{10} t + 46 \, q^{9} t^{2} - 70 \, q^{8} t^{3} - 72 \, q^{7} t^{4} - 6 \, q^{6} t^{5} - 6 \, q^{9} t - 72 \, q^{8} t^{2} - 70 \, q^{7} t^{3} + 46 \, q^{6} t^{4} + 6 \, q^{5} t^{5} + q^{8} t + 18 \, q^{7} t^{2} + 59 \, q^{6} t^{3} + 60 \, q^{5} t^{4} + 18 \, q^{4} t^{5} + q^{6} t^{2} + 8 \, q^{5} t^{3} - 35 \, q^{4} t^{4} - 34 \, q^{3} t^{5} - 7 \, q^{4} t^{3} - 4 \, q^{3} t^{4} + 5 \, q^{2} t^{5} + q^{2} t^{4} + 4 \, q t^{5} + t^{6}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{22} + 4 \, q^{21} t + q^{20} t^{2} - 4 \, q^{20} t - 6 \, q^{19} t^{2} - 2 \, q^{18} t^{3} + q^{19} t - 21 \, q^{18} t^{2} + 3 \, q^{17} t^{3} + 3 \, q^{16} t^{4} - 38 \, q^{18} t + 10 \, q^{17} t^{2} + 6 \, q^{16} t^{3} - 2 \, q^{15} t^{4} + 46 \, q^{17} t + 103 \, q^{16} t^{2} + 123 \, q^{15} t^{3} - 5 \, q^{14} t^{4} - 5 \, q^{13} t^{5} - 20 \, q^{16} t - 50 \, q^{15} t^{2} - 228 \, q^{14} t^{3} - 8 \, q^{13} t^{4} - 2 \, q^{12} t^{5} + 3 \, q^{15} t - 14 \, q^{14} t^{2} - 36 \, q^{13} t^{3} - 231 \, q^{12} t^{4} + 21 \, q^{11} t^{5} + 3 \, q^{10} t^{6} + 2 \, q^{13} t^{2} + 64 \, q^{12} t^{3} + 556 \, q^{11} t^{4} + 64 \, q^{10} t^{5} + 2 \, q^{9} t^{6} + 3 \, q^{12} t^{2} + 21 \, q^{11} t^{3} - 231 \, q^{10} t^{4} - 36 \, q^{9} t^{5} - 14 \, q^{8} t^{6} + 3 \, q^{7} t^{7} - 2 \, q^{10} t^{3} - 8 \, q^{9} t^{4} - 228 \, q^{8} t^{5} - 50 \, q^{7} t^{6} - 20 \, q^{6} t^{7} - 5 \, q^{9} t^{3} - 5 \, q^{8} t^{4} + 123 \, q^{7} t^{5} + 103 \, q^{6} t^{6} + 46 \, q^{5} t^{7} - 2 \, q^{7} t^{4} + 6 \, q^{6} t^{5} + 10 \, q^{5} t^{6} - 38 \, q^{4} t^{7} + 3 \, q^{6} t^{4} + 3 \, q^{5} t^{5} - 21 \, q^{4} t^{6} + q^{3} t^{7} - 2 \, q^{4} t^{5} - 6 \, q^{3} t^{6} - 4 \, q^{2} t^{7} + q^{2} t^{6} + 4 \, q t^{7} + t^{8}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{16} + 4 \, q^{15} t + q^{14} t^{2} - 4 \, q^{14} t - 6 \, q^{13} t^{2} - 2 \, q^{12} t^{3} - 5 \, q^{13} t - 17 \, q^{12} t^{2} + 5 \, q^{11} t^{3} + 3 \, q^{10} t^{4} - 14 \, q^{12} t + 42 \, q^{11} t^{2} + 2 \, q^{10} t^{3} - 6 \, q^{9} t^{4} + 20 \, q^{11} t + 6 \, q^{10} t^{2} + 47 \, q^{9} t^{3} - 2 \, q^{8} t^{4} + q^{7} t^{5} - 8 \, q^{10} t - 6 \, q^{9} t^{2} - 124 \, q^{8} t^{3} - 6 \, q^{7} t^{4} - 8 \, q^{6} t^{5} + q^{9} t - 2 \, q^{8} t^{2} + 47 \, q^{7} t^{3} + 6 \, q^{6} t^{4} + 20 \, q^{5} t^{5} - 6 \, q^{7} t^{2} + 2 \, q^{6} t^{3} + 42 \, q^{5} t^{4} - 14 \, q^{4} t^{5} + 3 \, q^{6} t^{2} + 5 \, q^{5} t^{3} - 17 \, q^{4} t^{4} - 5 \, q^{3} t^{5} - 2 \, q^{4} t^{3} - 6 \, q^{3} t^{4} - 4 \, q^{2} t^{5} + q^{2} t^{4} + 4 \, q t^{5} + t^{6}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{19} + q^{18} t + 8 \, q^{17} t - 4 \, q^{16} t^{2} - 23 \, q^{16} t - 5 \, q^{15} t^{2} - 10 \, q^{14} t^{3} - 4 \, q^{15} t - 22 \, q^{14} t^{2} + 50 \, q^{13} t^{3} + 8 \, q^{12} t^{4} + 18 \, q^{14} t + 108 \, q^{13} t^{2} - 18 \, q^{12} t^{3} - 5 \, q^{11} t^{4} - q^{10} t^{5} - 8 \, q^{13} t - 48 \, q^{12} t^{2} - 32 \, q^{11} t^{3} - 86 \, q^{10} t^{4} - 6 \, q^{9} t^{5} + q^{12} t - 15 \, q^{11} t^{2} - 108 \, q^{10} t^{3} + 108 \, q^{9} t^{4} + 15 \, q^{8} t^{5} - q^{7} t^{6} + 6 \, q^{10} t^{2} + 86 \, q^{9} t^{3} + 32 \, q^{8} t^{4} + 48 \, q^{7} t^{5} + 8 \, q^{6} t^{6} + q^{9} t^{2} + 5 \, q^{8} t^{3} + 18 \, q^{7} t^{4} - 108 \, q^{6} t^{5} - 18 \, q^{5} t^{6} - 8 \, q^{7} t^{3} - 50 \, q^{6} t^{4} + 22 \, q^{5} t^{5} + 4 \, q^{4} t^{6} + 10 \, q^{5} t^{4} + 5 \, q^{4} t^{5} + 23 \, q^{3} t^{6} + 4 \, q^{3} t^{5} - 8 \, q^{2} t^{6} - q t^{6} - t^{7}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{4} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{14} + 4 \, q^{13} t + q^{12} t^{2} - q^{12} t - 4 \, q^{11} t^{2} - q^{10} t^{3} - 11 \, q^{11} t - 8 \, q^{10} t^{2} - 5 \, q^{9} t^{3} - 8 \, q^{10} t + 9 \, q^{9} t^{2} + 24 \, q^{8} t^{3} - q^{7} t^{4} + 18 \, q^{9} t + 20 \, q^{8} t^{2} - 10 \, q^{7} t^{3} + 8 \, q^{6} t^{4} - 8 \, q^{8} t + 10 \, q^{7} t^{2} - 20 \, q^{6} t^{3} - 18 \, q^{5} t^{4} + q^{7} t - 24 \, q^{6} t^{2} - 9 \, q^{5} t^{3} + 8 \, q^{4} t^{4} + 5 \, q^{5} t^{2} + 8 \, q^{4} t^{3} + 11 \, q^{3} t^{4} + q^{4} t^{2} + 4 \, q^{3} t^{3} + q^{2} t^{4} - q^{2} t^{3} - 4 \, q t^{4} - t^{5}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{20} + 2 \, q^{19} t - q^{18} t^{2} - 3 \, q^{18} t - 2 \, q^{17} t^{2} - q^{16} t^{3} + 3 \, q^{17} t + 3 \, q^{15} t^{3} - 26 \, q^{16} t - 9 \, q^{15} t^{2} + 18 \, q^{14} t^{3} + 3 \, q^{13} t^{4} + 24 \, q^{15} t + 45 \, q^{14} t^{2} - 30 \, q^{13} t^{3} - 5 \, q^{12} t^{4} - 8 \, q^{14} t - 4 \, q^{13} t^{2} + 33 \, q^{12} t^{3} - 22 \, q^{11} t^{4} - 5 \, q^{10} t^{5} + q^{13} t + 2 \, q^{12} t^{2} - 84 \, q^{11} t^{3} - 2 \, q^{10} t^{4} + 15 \, q^{9} t^{5} - 15 \, q^{11} t^{2} + 2 \, q^{10} t^{3} + 84 \, q^{9} t^{4} - 2 \, q^{8} t^{5} - q^{7} t^{6} + 5 \, q^{10} t^{2} + 22 \, q^{9} t^{3} - 33 \, q^{8} t^{4} + 4 \, q^{7} t^{5} + 8 \, q^{6} t^{6} + 5 \, q^{8} t^{3} + 30 \, q^{7} t^{4} - 45 \, q^{6} t^{5} - 24 \, q^{5} t^{6} - 3 \, q^{7} t^{3} - 18 \, q^{6} t^{4} + 9 \, q^{5} t^{5} + 26 \, q^{4} t^{6} - 3 \, q^{5} t^{4} - 3 \, q^{3} t^{6} + q^{4} t^{4} + 2 \, q^{3} t^{5} + 3 \, q^{2} t^{6} + q^{2} t^{5} - 2 \, q t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{19} + 2 \, q^{18} t - q^{17} t^{2} + 8 \, q^{17} t - 4 \, q^{16} t^{2} - 6 \, q^{15} t^{3} - 28 \, q^{16} t + 5 \, q^{15} t^{2} + 10 \, q^{14} t^{3} - q^{13} t^{4} + 2 \, q^{15} t - 56 \, q^{14} t^{2} + 48 \, q^{13} t^{3} + 20 \, q^{12} t^{4} + 16 \, q^{14} t + 155 \, q^{13} t^{2} - 84 \, q^{12} t^{3} - 35 \, q^{11} t^{4} + 2 \, q^{10} t^{5} - 8 \, q^{13} t - 66 \, q^{12} t^{2} + 78 \, q^{11} t^{3} - 80 \, q^{10} t^{4} - 20 \, q^{9} t^{5} + q^{12} t - 30 \, q^{11} t^{2} - 177 \, q^{10} t^{3} + 177 \, q^{9} t^{4} + 30 \, q^{8} t^{5} - q^{7} t^{6} + 20 \, q^{10} t^{2} + 80 \, q^{9} t^{3} - 78 \, q^{8} t^{4} + 66 \, q^{7} t^{5} + 8 \, q^{6} t^{6} - 2 \, q^{9} t^{2} + 35 \, q^{8} t^{3} + 84 \, q^{7} t^{4} - 155 \, q^{6} t^{5} - 16 \, q^{5} t^{6} - 20 \, q^{7} t^{3} - 48 \, q^{6} t^{4} + 56 \, q^{5} t^{5} - 2 \, q^{4} t^{6} + q^{6} t^{3} - 10 \, q^{5} t^{4} - 5 \, q^{4} t^{5} + 28 \, q^{3} t^{6} + 6 \, q^{4} t^{4} + 4 \, q^{3} t^{5} - 8 \, q^{2} t^{6} + q^{2} t^{5} - 2 \, q t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{17} + 2 \, q^{16} t - q^{15} t^{2} + 8 \, q^{15} t - 8 \, q^{14} t^{2} - 4 \, q^{13} t^{3} - 34 \, q^{14} t - 8 \, q^{13} t^{2} + 10 \, q^{12} t^{3} + 14 \, q^{11} t^{4} + 14 \, q^{13} t + 20 \, q^{12} t^{2} + 76 \, q^{11} t^{3} - 36 \, q^{10} t^{4} - 2 \, q^{9} t^{5} + 8 \, q^{12} t + 86 \, q^{11} t^{2} - 132 \, q^{10} t^{3} - 29 \, q^{9} t^{4} - 16 \, q^{8} t^{5} - q^{7} t^{6} - 6 \, q^{11} t - 86 \, q^{10} t^{2} - 36 \, q^{9} t^{3} + 36 \, q^{8} t^{4} + 86 \, q^{7} t^{5} + 6 \, q^{6} t^{6} + q^{10} t + 16 \, q^{9} t^{2} + 29 \, q^{8} t^{3} + 132 \, q^{7} t^{4} - 86 \, q^{6} t^{5} - 8 \, q^{5} t^{6} + 2 \, q^{8} t^{2} + 36 \, q^{7} t^{3} - 76 \, q^{6} t^{4} - 20 \, q^{5} t^{5} - 14 \, q^{4} t^{6} - 14 \, q^{6} t^{3} - 10 \, q^{5} t^{4} + 8 \, q^{4} t^{5} + 34 \, q^{3} t^{6} + 4 \, q^{4} t^{4} + 8 \, q^{3} t^{5} - 8 \, q^{2} t^{6} + q^{2} t^{5} - 2 \, q t^{6} - t^{7}}{{\left(q^{2} - t\right)}^{4} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{26} + q^{25} t + 2 \, q^{24} t - 2 \, q^{23} t^{2} - 4 \, q^{23} t - 3 \, q^{22} t^{2} - q^{21} t^{3} - 18 \, q^{22} t - 2 \, q^{20} t^{3} + 12 \, q^{21} t - 7 \, q^{20} t^{2} + 41 \, q^{19} t^{3} + 4 \, q^{18} t^{4} + 56 \, q^{19} t^{2} - 46 \, q^{18} t^{3} - 6 \, q^{17} t^{4} - q^{19} t + 24 \, q^{18} t^{2} + 29 \, q^{17} t^{3} - 15 \, q^{16} t^{4} + q^{15} t^{5} - 60 \, q^{17} t^{2} - 92 \, q^{16} t^{3} - 52 \, q^{15} t^{4} - 16 \, q^{14} t^{5} + 22 \, q^{16} t^{2} - 21 \, q^{15} t^{3} + 134 \, q^{14} t^{4} + 39 \, q^{13} t^{5} - 2 \, q^{15} t^{2} + 12 \, q^{14} t^{3} - 60 \, q^{13} t^{4} + 12 \, q^{12} t^{5} - 2 \, q^{11} t^{6} + 39 \, q^{13} t^{3} + 134 \, q^{12} t^{4} - 21 \, q^{11} t^{5} + 22 \, q^{10} t^{6} - 16 \, q^{12} t^{3} - 52 \, q^{11} t^{4} - 92 \, q^{10} t^{5} - 60 \, q^{9} t^{6} + q^{11} t^{3} - 15 \, q^{10} t^{4} + 29 \, q^{9} t^{5} + 24 \, q^{8} t^{6} - q^{7} t^{7} - 6 \, q^{9} t^{4} - 46 \, q^{8} t^{5} + 56 \, q^{7} t^{6} + 4 \, q^{8} t^{4} + 41 \, q^{7} t^{5} - 7 \, q^{6} t^{6} + 12 \, q^{5} t^{7} - 2 \, q^{6} t^{5} - 18 \, q^{4} t^{7} - q^{5} t^{5} - 3 \, q^{4} t^{6} - 4 \, q^{3} t^{7} - 2 \, q^{3} t^{6} + 2 \, q^{2} t^{7} + q t^{7} + t^{8}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{19} + q^{18} t - q^{17} t - q^{16} t^{2} + 5 \, q^{16} t - 3 \, q^{15} t^{2} - 28 \, q^{15} t + q^{14} t^{2} - 3 \, q^{13} t^{3} + 24 \, q^{14} t + 9 \, q^{13} t^{2} + 17 \, q^{12} t^{3} - 8 \, q^{13} t + 8 \, q^{12} t^{2} - 9 \, q^{11} t^{3} + 7 \, q^{10} t^{4} + q^{12} t + 21 \, q^{11} t^{2} - 15 \, q^{10} t^{3} - 27 \, q^{9} t^{4} - 27 \, q^{10} t^{2} - 15 \, q^{9} t^{3} + 21 \, q^{8} t^{4} + q^{7} t^{5} + 7 \, q^{9} t^{2} - 9 \, q^{8} t^{3} + 8 \, q^{7} t^{4} - 8 \, q^{6} t^{5} + 17 \, q^{7} t^{3} + 9 \, q^{6} t^{4} + 24 \, q^{5} t^{5} - 3 \, q^{6} t^{3} + q^{5} t^{4} - 28 \, q^{4} t^{5} - 3 \, q^{4} t^{4} + 5 \, q^{3} t^{5} - q^{3} t^{4} - q^{2} t^{5} + q t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{17} + 5 \, q^{16} t - q^{15} t^{2} - q^{14} t^{3} - 8 \, q^{15} t - 12 \, q^{14} t^{2} + 6 \, q^{13} t^{3} + 2 \, q^{12} t^{4} - 3 \, q^{14} t - 6 \, q^{13} t^{2} + 2 \, q^{12} t^{3} - 2 \, q^{11} t^{4} - 3 \, q^{10} t^{5} - 14 \, q^{13} t + 68 \, q^{12} t^{2} + 36 \, q^{11} t^{3} - 8 \, q^{10} t^{4} + 6 \, q^{9} t^{5} + 20 \, q^{12} t - 26 \, q^{11} t^{2} - 67 \, q^{10} t^{3} - 41 \, q^{9} t^{4} + 3 \, q^{8} t^{5} - q^{7} t^{6} - 8 \, q^{11} t + 4 \, q^{10} t^{2} - 60 \, q^{9} t^{3} + 60 \, q^{8} t^{4} - 4 \, q^{7} t^{5} + 8 \, q^{6} t^{6} + q^{10} t - 3 \, q^{9} t^{2} + 41 \, q^{8} t^{3} + 67 \, q^{7} t^{4} + 26 \, q^{6} t^{5} - 20 \, q^{5} t^{6} - 6 \, q^{8} t^{2} + 8 \, q^{7} t^{3} - 36 \, q^{6} t^{4} - 68 \, q^{5} t^{5} + 14 \, q^{4} t^{6} + 3 \, q^{7} t^{2} + 2 \, q^{6} t^{3} - 2 \, q^{5} t^{4} + 6 \, q^{4} t^{5} + 3 \, q^{3} t^{6} - 2 \, q^{5} t^{3} - 6 \, q^{4} t^{4} + 12 \, q^{3} t^{5} + 8 \, q^{2} t^{6} + q^{3} t^{4} + q^{2} t^{5} - 5 \, q t^{6} - t^{7}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{11} + 12 \, q^{10} t + 8 \, q^{9} t^{2} - 8 \, q^{8} t^{3} - q^{7} t^{4} - 20 \, q^{9} t - 44 \, q^{8} t^{2} + 12 \, q^{7} t^{3} + 4 \, q^{6} t^{4} - 10 \, q^{8} t + 36 \, q^{7} t^{2} + 34 \, q^{6} t^{3} + 16 \, q^{7} t + 48 \, q^{6} t^{2} - 48 \, q^{5} t^{3} - 16 \, q^{4} t^{4} - 34 \, q^{5} t^{2} - 36 \, q^{4} t^{3} + 10 \, q^{3} t^{4} - 4 \, q^{5} t - 12 \, q^{4} t^{2} + 44 \, q^{3} t^{3} + 20 \, q^{2} t^{4} + q^{4} t + 8 \, q^{3} t^{2} - 8 \, q^{2} t^{3} - 12 \, q t^{4} - t^{5}}{{\left(q - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{18} + 7 \, q^{17} t - 8 \, q^{16} t^{2} + 4 \, q^{15} t^{3} + q^{14} t^{4} - q^{13} t^{5} - 5 \, q^{16} t - 47 \, q^{15} t^{2} - 4 \, q^{14} t^{3} + 48 \, q^{13} t^{4} - 37 \, q^{12} t^{5} + 9 \, q^{11} t^{6} - 38 \, q^{15} t + 107 \, q^{14} t^{2} + 211 \, q^{13} t^{3} - 210 \, q^{12} t^{4} + 90 \, q^{11} t^{5} - 21 \, q^{10} t^{6} + 5 \, q^{9} t^{7} + 34 \, q^{14} t + 16 \, q^{13} t^{2} - 335 \, q^{12} t^{3} - 127 \, q^{11} t^{4} + 28 \, q^{10} t^{5} + 92 \, q^{9} t^{6} - 43 \, q^{8} t^{7} - q^{7} t^{8} - 4 \, q^{13} t + 16 \, q^{12} t^{2} - 212 \, q^{11} t^{3} + 720 \, q^{10} t^{4} + 226 \, q^{9} t^{5} - 332 \, q^{8} t^{6} + 86 \, q^{7} t^{7} + 4 \, q^{6} t^{8} - 4 \, q^{12} t - 86 \, q^{11} t^{2} + 332 \, q^{10} t^{3} - 226 \, q^{9} t^{4} - 720 \, q^{8} t^{5} + 212 \, q^{7} t^{6} - 16 \, q^{6} t^{7} + 4 \, q^{5} t^{8} + q^{11} t + 43 \, q^{10} t^{2} - 92 \, q^{9} t^{3} - 28 \, q^{8} t^{4} + 127 \, q^{7} t^{5} + 335 \, q^{6} t^{6} - 16 \, q^{5} t^{7} - 34 \, q^{4} t^{8} - 5 \, q^{9} t^{2} + 21 \, q^{8} t^{3} - 90 \, q^{7} t^{4} + 210 \, q^{6} t^{5} - 211 \, q^{5} t^{6} - 107 \, q^{4} t^{7} + 38 \, q^{3} t^{8} - 9 \, q^{7} t^{3} + 37 \, q^{6} t^{4} - 48 \, q^{5} t^{5} + 4 \, q^{4} t^{6} + 47 \, q^{3} t^{7} + 5 \, q^{2} t^{8} + q^{5} t^{4} - q^{4} t^{5} - 4 \, q^{3} t^{6} + 8 \, q^{2} t^{7} - 7 \, q t^{8} - t^{9}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{5} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{17} + 6 \, q^{16} t - 4 \, q^{15} t^{2} - 2 \, q^{14} t^{3} + q^{13} t^{4} - 5 \, q^{15} t - 26 \, q^{14} t^{2} + 6 \, q^{13} t^{3} + 16 \, q^{12} t^{4} - 5 \, q^{11} t^{5} - 26 \, q^{14} t + 27 \, q^{13} t^{2} + 88 \, q^{12} t^{3} - 44 \, q^{11} t^{4} - 6 \, q^{10} t^{5} + q^{9} t^{6} + 16 \, q^{13} t + 86 \, q^{12} t^{2} - 83 \, q^{11} t^{3} - 114 \, q^{10} t^{4} + 26 \, q^{9} t^{5} + 12 \, q^{8} t^{6} + q^{7} t^{7} + 6 \, q^{12} t - 38 \, q^{11} t^{2} - 204 \, q^{10} t^{3} + 176 \, q^{9} t^{4} + 124 \, q^{8} t^{5} - 30 \, q^{7} t^{6} - 6 \, q^{6} t^{7} - 6 \, q^{11} t - 30 \, q^{10} t^{2} + 124 \, q^{9} t^{3} + 176 \, q^{8} t^{4} - 204 \, q^{7} t^{5} - 38 \, q^{6} t^{6} + 6 \, q^{5} t^{7} + q^{10} t + 12 \, q^{9} t^{2} + 26 \, q^{8} t^{3} - 114 \, q^{7} t^{4} - 83 \, q^{6} t^{5} + 86 \, q^{5} t^{6} + 16 \, q^{4} t^{7} + q^{8} t^{2} - 6 \, q^{7} t^{3} - 44 \, q^{6} t^{4} + 88 \, q^{5} t^{5} + 27 \, q^{4} t^{6} - 26 \, q^{3} t^{7} - 5 \, q^{6} t^{3} + 16 \, q^{5} t^{4} + 6 \, q^{4} t^{5} - 26 \, q^{3} t^{6} - 5 \, q^{2} t^{7} + q^{4} t^{4} - 2 \, q^{3} t^{5} - 4 \, q^{2} t^{6} + 6 \, q t^{7} + t^{8}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{17} + 4 \, q^{16} t + q^{15} t^{2} + 10 \, q^{15} t - 6 \, q^{14} t^{2} - 4 \, q^{13} t^{3} - 52 \, q^{14} t - 48 \, q^{13} t^{2} - 42 \, q^{12} t^{3} + 16 \, q^{11} t^{4} + 38 \, q^{13} t + 74 \, q^{12} t^{2} + 294 \, q^{11} t^{3} - 30 \, q^{10} t^{4} + 8 \, q^{9} t^{5} - 4 \, q^{12} t + 114 \, q^{11} t^{2} - 442 \, q^{10} t^{3} - 17 \, q^{9} t^{4} - 70 \, q^{8} t^{5} - q^{7} t^{6} - 4 \, q^{11} t - 176 \, q^{10} t^{2} + 128 \, q^{9} t^{3} - 128 \, q^{8} t^{4} + 176 \, q^{7} t^{5} + 4 \, q^{6} t^{6} + q^{10} t + 70 \, q^{9} t^{2} + 17 \, q^{8} t^{3} + 442 \, q^{7} t^{4} - 114 \, q^{6} t^{5} + 4 \, q^{5} t^{6} - 8 \, q^{8} t^{2} + 30 \, q^{7} t^{3} - 294 \, q^{6} t^{4} - 74 \, q^{5} t^{5} - 38 \, q^{4} t^{6} - 16 \, q^{6} t^{3} + 42 \, q^{5} t^{4} + 48 \, q^{4} t^{5} + 52 \, q^{3} t^{6} + 4 \, q^{4} t^{4} + 6 \, q^{3} t^{5} - 10 \, q^{2} t^{6} - q^{2} t^{5} - 4 \, q t^{6} - t^{7}}{{\left(q^{2} - t\right)}^{4} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{19} + 4 \, q^{18} t + q^{17} t^{2} - 4 \, q^{17} t - 6 \, q^{16} t^{2} - 2 \, q^{15} t^{3} + 2 \, q^{16} t - 19 \, q^{15} t^{2} + 8 \, q^{14} t^{3} + q^{13} t^{4} - 38 \, q^{15} t + 14 \, q^{14} t^{2} - 16 \, q^{13} t^{3} + 4 \, q^{12} t^{4} + 46 \, q^{14} t + 93 \, q^{13} t^{2} + 126 \, q^{12} t^{3} - 5 \, q^{11} t^{4} - 6 \, q^{10} t^{5} - 20 \, q^{13} t - 80 \, q^{12} t^{2} - 214 \, q^{11} t^{3} - 48 \, q^{10} t^{4} + 18 \, q^{9} t^{5} + 3 \, q^{12} t + 30 \, q^{11} t^{2} + 15 \, q^{10} t^{3} - 15 \, q^{9} t^{4} - 30 \, q^{8} t^{5} - 3 \, q^{7} t^{6} - 18 \, q^{10} t^{2} + 48 \, q^{9} t^{3} + 214 \, q^{8} t^{4} + 80 \, q^{7} t^{5} + 20 \, q^{6} t^{6} + 6 \, q^{9} t^{2} + 5 \, q^{8} t^{3} - 126 \, q^{7} t^{4} - 93 \, q^{6} t^{5} - 46 \, q^{5} t^{6} - 4 \, q^{7} t^{3} + 16 \, q^{6} t^{4} - 14 \, q^{5} t^{5} + 38 \, q^{4} t^{6} - q^{6} t^{3} - 8 \, q^{5} t^{4} + 19 \, q^{4} t^{5} - 2 \, q^{3} t^{6} + 2 \, q^{4} t^{4} + 6 \, q^{3} t^{5} + 4 \, q^{2} t^{6} - q^{2} t^{5} - 4 \, q t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{20} + q^{19} t + 3 \, q^{18} t - 3 \, q^{17} t^{2} - 8 \, q^{17} t - 3 \, q^{16} t^{2} - 3 \, q^{15} t^{3} - 18 \, q^{16} t - 8 \, q^{15} t^{2} + 15 \, q^{14} t^{3} + q^{13} t^{4} + 22 \, q^{15} t + 39 \, q^{14} t^{2} + 13 \, q^{13} t^{3} + 10 \, q^{12} t^{4} - 8 \, q^{14} t + 30 \, q^{13} t^{2} - 15 \, q^{12} t^{3} - 47 \, q^{11} t^{4} - 2 \, q^{10} t^{5} + q^{13} t - 41 \, q^{12} t^{2} - 80 \, q^{11} t^{3} + q^{10} t^{4} - 5 \, q^{9} t^{5} + 5 \, q^{11} t^{2} - q^{10} t^{3} + 80 \, q^{9} t^{4} + 41 \, q^{8} t^{5} - q^{7} t^{6} + 2 \, q^{10} t^{2} + 47 \, q^{9} t^{3} + 15 \, q^{8} t^{4} - 30 \, q^{7} t^{5} + 8 \, q^{6} t^{6} - 10 \, q^{8} t^{3} - 13 \, q^{7} t^{4} - 39 \, q^{6} t^{5} - 22 \, q^{5} t^{6} - q^{7} t^{3} - 15 \, q^{6} t^{4} + 8 \, q^{5} t^{5} + 18 \, q^{4} t^{6} + 3 \, q^{5} t^{4} + 3 \, q^{4} t^{5} + 8 \, q^{3} t^{6} + 3 \, q^{3} t^{5} - 3 \, q^{2} t^{6} - q t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{18} + 4 \, q^{17} t + q^{16} t^{2} - 8 \, q^{16} t - 4 \, q^{15} t^{2} + 9 \, q^{15} t - 2 \, q^{14} t^{2} - 3 \, q^{13} t^{3} - 28 \, q^{14} t - 12 \, q^{13} t^{2} + 12 \, q^{12} t^{3} + 24 \, q^{13} t + 49 \, q^{12} t^{2} - 20 \, q^{11} t^{3} + 5 \, q^{10} t^{4} - 8 \, q^{12} t - 16 \, q^{11} t^{2} + 80 \, q^{10} t^{3} - 16 \, q^{9} t^{4} + q^{11} t + 10 \, q^{10} t^{2} - 158 \, q^{9} t^{3} + 10 \, q^{8} t^{4} + q^{7} t^{5} - 16 \, q^{9} t^{2} + 80 \, q^{8} t^{3} - 16 \, q^{7} t^{4} - 8 \, q^{6} t^{5} + 5 \, q^{8} t^{2} - 20 \, q^{7} t^{3} + 49 \, q^{6} t^{4} + 24 \, q^{5} t^{5} + 12 \, q^{6} t^{3} - 12 \, q^{5} t^{4} - 28 \, q^{4} t^{5} - 3 \, q^{5} t^{3} - 2 \, q^{4} t^{4} + 9 \, q^{3} t^{5} - 4 \, q^{3} t^{4} - 8 \, q^{2} t^{5} + q^{2} t^{4} + 4 \, q t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{3} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{21} + 5 \, q^{20} t - 10 \, q^{19} t^{2} + 10 \, q^{18} t^{3} - 5 \, q^{17} t^{4} + q^{16} t^{5} - 3 \, q^{19} t - 35 \, q^{18} t^{2} + 10 \, q^{17} t^{3} + 34 \, q^{16} t^{4} - 33 \, q^{15} t^{5} + 9 \, q^{14} t^{6} - 29 \, q^{18} t + 84 \, q^{17} t^{2} + 117 \, q^{16} t^{3} - 178 \, q^{15} t^{4} + 89 \, q^{14} t^{5} - 10 \, q^{13} t^{6} - 3 \, q^{12} t^{7} + 12 \, q^{17} t + 27 \, q^{16} t^{2} - 172 \, q^{15} t^{3} - 59 \, q^{14} t^{4} + 10 \, q^{13} t^{5} + 57 \, q^{12} t^{6} - 26 \, q^{11} t^{7} + q^{10} t^{8} + 12 \, q^{16} t + 34 \, q^{15} t^{2} - 287 \, q^{14} t^{3} + 379 \, q^{13} t^{4} + 276 \, q^{12} t^{5} - 314 \, q^{11} t^{6} + 79 \, q^{10} t^{7} + q^{9} t^{8} - 8 \, q^{15} t - 76 \, q^{14} t^{2} + 206 \, q^{13} t^{3} + 133 \, q^{12} t^{4} - 469 \, q^{11} t^{5} + 164 \, q^{10} t^{6} - 54 \, q^{9} t^{7} + 19 \, q^{8} t^{8} + q^{7} t^{9} + q^{14} t + 19 \, q^{13} t^{2} - 54 \, q^{12} t^{3} + 164 \, q^{11} t^{4} - 469 \, q^{10} t^{5} + 133 \, q^{9} t^{6} + 206 \, q^{8} t^{7} - 76 \, q^{7} t^{8} - 8 \, q^{6} t^{9} + q^{12} t^{2} + 79 \, q^{11} t^{3} - 314 \, q^{10} t^{4} + 276 \, q^{9} t^{5} + 379 \, q^{8} t^{6} - 287 \, q^{7} t^{7} + 34 \, q^{6} t^{8} + 12 \, q^{5} t^{9} + q^{11} t^{2} - 26 \, q^{10} t^{3} + 57 \, q^{9} t^{4} + 10 \, q^{8} t^{5} - 59 \, q^{7} t^{6} - 172 \, q^{6} t^{7} + 27 \, q^{5} t^{8} + 12 \, q^{4} t^{9} - 3 \, q^{9} t^{3} - 10 \, q^{8} t^{4} + 89 \, q^{7} t^{5} - 178 \, q^{6} t^{6} + 117 \, q^{5} t^{7} + 84 \, q^{4} t^{8} - 29 \, q^{3} t^{9} + 9 \, q^{7} t^{4} - 33 \, q^{6} t^{5} + 34 \, q^{5} t^{6} + 10 \, q^{4} t^{7} - 35 \, q^{3} t^{8} - 3 \, q^{2} t^{9} + q^{5} t^{5} - 5 \, q^{4} t^{6} + 10 \, q^{3} t^{7} - 10 \, q^{2} t^{8} + 5 \, q t^{9} + t^{10}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{5} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{22} + 2 \, q^{21} t - q^{20} t^{2} + 2 \, q^{20} t - 4 \, q^{19} t^{2} - 2 \, q^{18} t^{3} - 7 \, q^{19} t - 7 \, q^{18} t^{2} + 7 \, q^{17} t^{3} + q^{16} t^{4} - 28 \, q^{18} t - 14 \, q^{17} t^{2} + 32 \, q^{16} t^{3} + 10 \, q^{15} t^{4} + 34 \, q^{17} t + 99 \, q^{16} t^{2} - 19 \, q^{15} t^{3} - 41 \, q^{14} t^{4} - 3 \, q^{13} t^{5} - 12 \, q^{16} t - 24 \, q^{15} t^{2} - 18 \, q^{14} t^{3} - 20 \, q^{13} t^{4} - 18 \, q^{12} t^{5} + q^{15} t - 24 \, q^{14} t^{2} - 124 \, q^{13} t^{3} - q^{12} t^{4} + 77 \, q^{11} t^{5} + 5 \, q^{10} t^{6} - 2 \, q^{13} t^{2} + 12 \, q^{12} t^{3} + 172 \, q^{11} t^{4} + 12 \, q^{10} t^{5} - 2 \, q^{9} t^{6} + 5 \, q^{12} t^{2} + 77 \, q^{11} t^{3} - q^{10} t^{4} - 124 \, q^{9} t^{5} - 24 \, q^{8} t^{6} + q^{7} t^{7} - 18 \, q^{10} t^{3} - 20 \, q^{9} t^{4} - 18 \, q^{8} t^{5} - 24 \, q^{7} t^{6} - 12 \, q^{6} t^{7} - 3 \, q^{9} t^{3} - 41 \, q^{8} t^{4} - 19 \, q^{7} t^{5} + 99 \, q^{6} t^{6} + 34 \, q^{5} t^{7} + 10 \, q^{7} t^{4} + 32 \, q^{6} t^{5} - 14 \, q^{5} t^{6} - 28 \, q^{4} t^{7} + q^{6} t^{4} + 7 \, q^{5} t^{5} - 7 \, q^{4} t^{6} - 7 \, q^{3} t^{7} - 2 \, q^{4} t^{5} - 4 \, q^{3} t^{6} + 2 \, q^{2} t^{7} - q^{2} t^{6} + 2 \, q t^{7} + t^{8}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{20} + 4 \, q^{19} t + q^{18} t^{2} - 7 \, q^{18} t - 6 \, q^{17} t^{2} - q^{16} t^{3} + 5 \, q^{17} t - 6 \, q^{16} t^{2} + q^{15} t^{3} - 26 \, q^{16} t - 5 \, q^{15} t^{2} + 12 \, q^{14} t^{3} + 3 \, q^{13} t^{4} + 24 \, q^{15} t + 71 \, q^{14} t^{2} + 10 \, q^{13} t^{3} - 7 \, q^{12} t^{4} - 8 \, q^{14} t - 38 \, q^{13} t^{2} + 7 \, q^{12} t^{3} + 2 \, q^{11} t^{4} - 5 \, q^{10} t^{5} + q^{13} t + 16 \, q^{12} t^{2} - 138 \, q^{11} t^{3} - 72 \, q^{10} t^{4} + 17 \, q^{9} t^{5} - 17 \, q^{11} t^{2} + 72 \, q^{10} t^{3} + 138 \, q^{9} t^{4} - 16 \, q^{8} t^{5} - q^{7} t^{6} + 5 \, q^{10} t^{2} - 2 \, q^{9} t^{3} - 7 \, q^{8} t^{4} + 38 \, q^{7} t^{5} + 8 \, q^{6} t^{6} + 7 \, q^{8} t^{3} - 10 \, q^{7} t^{4} - 71 \, q^{6} t^{5} - 24 \, q^{5} t^{6} - 3 \, q^{7} t^{3} - 12 \, q^{6} t^{4} + 5 \, q^{5} t^{5} + 26 \, q^{4} t^{6} - q^{5} t^{4} + 6 \, q^{4} t^{5} - 5 \, q^{3} t^{6} + q^{4} t^{4} + 6 \, q^{3} t^{5} + 7 \, q^{2} t^{6} - q^{2} t^{5} - 4 \, q t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{11} + 4 \, q^{10} t + q^{9} t^{2} - 7 \, q^{9} t - 6 \, q^{8} t^{2} - q^{7} t^{3} + 2 \, q^{7} t^{2} + 4 \, q^{6} t^{3} - 2 \, q^{7} t + 6 \, q^{6} t^{2} - 2 \, q^{5} t^{3} - 2 \, q^{6} t + 6 \, q^{5} t^{2} - 2 \, q^{4} t^{3} + 4 \, q^{5} t + 2 \, q^{4} t^{2} - q^{4} t - 6 \, q^{3} t^{2} - 7 \, q^{2} t^{3} + q^{2} t^{2} + 4 \, q t^{3} + t^{4}}{{\left(q^{2} - t\right)} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{15} + 2 \, q^{14} t - q^{13} t^{2} + 5 \, q^{13} t - 6 \, q^{12} t^{2} - 5 \, q^{11} t^{3} - 22 \, q^{12} t - 5 \, q^{11} t^{2} + 24 \, q^{10} t^{3} + 3 \, q^{9} t^{4} + 4 \, q^{11} t + 14 \, q^{10} t^{2} - q^{9} t^{3} - q^{7} t^{5} + 6 \, q^{10} t + 52 \, q^{9} t^{2} - 28 \, q^{8} t^{3} - 42 \, q^{7} t^{4} - 42 \, q^{8} t^{2} - 28 \, q^{7} t^{3} + 52 \, q^{6} t^{4} + 6 \, q^{5} t^{5} - q^{8} t - q^{6} t^{3} + 14 \, q^{5} t^{4} + 4 \, q^{4} t^{5} + 3 \, q^{6} t^{2} + 24 \, q^{5} t^{3} - 5 \, q^{4} t^{4} - 22 \, q^{3} t^{5} - 5 \, q^{4} t^{3} - 6 \, q^{3} t^{4} + 5 \, q^{2} t^{5} - q^{2} t^{4} + 2 \, q t^{5} + t^{6}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{16} + 2 \, q^{15} t - q^{14} t^{2} - 2 \, q^{14} t - 4 \, q^{13} t^{2} - 2 \, q^{12} t^{3} - 3 \, q^{13} t + 3 \, q^{12} t^{2} + 13 \, q^{11} t^{3} + q^{10} t^{4} - 12 \, q^{12} t - 2 \, q^{11} t^{2} - 8 \, q^{10} t^{3} - 2 \, q^{9} t^{4} + 10 \, q^{11} t + 38 \, q^{10} t^{2} + 3 \, q^{9} t^{3} - 2 \, q^{8} t^{4} - q^{7} t^{5} - 16 \, q^{9} t^{2} - 32 \, q^{8} t^{3} - 16 \, q^{7} t^{4} - q^{9} t - 2 \, q^{8} t^{2} + 3 \, q^{7} t^{3} + 38 \, q^{6} t^{4} + 10 \, q^{5} t^{5} - 2 \, q^{7} t^{2} - 8 \, q^{6} t^{3} - 2 \, q^{5} t^{4} - 12 \, q^{4} t^{5} + q^{6} t^{2} + 13 \, q^{5} t^{3} + 3 \, q^{4} t^{4} - 3 \, q^{3} t^{5} - 2 \, q^{4} t^{3} - 4 \, q^{3} t^{4} - 2 \, q^{2} t^{5} - q^{2} t^{4} + 2 \, q t^{5} + t^{6}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{17} + q^{16} t + 3 \, q^{15} t - 3 \, q^{14} t^{2} - 11 \, q^{14} t - 2 \, q^{13} t^{2} - 3 \, q^{12} t^{3} - 4 \, q^{13} t - 3 \, q^{12} t^{2} + 16 \, q^{11} t^{3} + q^{10} t^{4} + 4 \, q^{12} t + 26 \, q^{11} t^{2} + 3 \, q^{10} t^{3} + 3 \, q^{9} t^{4} + 2 \, q^{11} t + 20 \, q^{10} t^{2} - 26 \, q^{9} t^{3} - 27 \, q^{8} t^{4} - q^{7} t^{5} - q^{10} t - 27 \, q^{9} t^{2} - 26 \, q^{8} t^{3} + 20 \, q^{7} t^{4} + 2 \, q^{6} t^{5} + 3 \, q^{8} t^{2} + 3 \, q^{7} t^{3} + 26 \, q^{6} t^{4} + 4 \, q^{5} t^{5} + q^{7} t^{2} + 16 \, q^{6} t^{3} - 3 \, q^{5} t^{4} - 4 \, q^{4} t^{5} - 3 \, q^{5} t^{3} - 2 \, q^{4} t^{4} - 11 \, q^{3} t^{5} - 3 \, q^{3} t^{4} + 3 \, q^{2} t^{5} + q t^{5} + t^{6}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{14} + 2 \, q^{13} t - q^{12} t^{2} - 3 \, q^{12} t - 2 \, q^{11} t^{2} - q^{10} t^{3} - 3 \, q^{11} t + 4 \, q^{10} t^{2} + 5 \, q^{9} t^{3} - 2 \, q^{10} t - 3 \, q^{9} t^{2} - 2 \, q^{8} t^{3} + q^{7} t^{4} - 2 \, q^{9} t + 16 \, q^{8} t^{2} + 2 \, q^{7} t^{3} - 4 \, q^{6} t^{4} + 4 \, q^{8} t - 2 \, q^{7} t^{2} - 16 \, q^{6} t^{3} + 2 \, q^{5} t^{4} - q^{7} t + 2 \, q^{6} t^{2} + 3 \, q^{5} t^{3} + 2 \, q^{4} t^{4} - 5 \, q^{5} t^{2} - 4 \, q^{4} t^{3} + 3 \, q^{3} t^{4} + q^{4} t^{2} + 2 \, q^{3} t^{3} + 3 \, q^{2} t^{4} + q^{2} t^{3} - 2 \, q t^{4} - t^{5}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{15} + 5 \, q^{14} t - q^{13} t^{2} - q^{12} t^{3} + q^{13} t - 7 \, q^{12} t^{2} - 3 \, q^{11} t^{3} + q^{10} t^{4} - 25 \, q^{12} t - 15 \, q^{11} t^{2} + 15 \, q^{10} t^{3} + 5 \, q^{9} t^{4} + 6 \, q^{11} t + 49 \, q^{10} t^{2} + 27 \, q^{9} t^{3} - 15 \, q^{8} t^{4} + q^{7} t^{5} + 14 \, q^{10} t + 8 \, q^{9} t^{2} - 48 \, q^{8} t^{3} - 10 \, q^{7} t^{4} - 8 \, q^{6} t^{5} - 8 \, q^{9} t - 10 \, q^{8} t^{2} - 48 \, q^{7} t^{3} + 8 \, q^{6} t^{4} + 14 \, q^{5} t^{5} + q^{8} t - 15 \, q^{7} t^{2} + 27 \, q^{6} t^{3} + 49 \, q^{5} t^{4} + 6 \, q^{4} t^{5} + 5 \, q^{6} t^{2} + 15 \, q^{5} t^{3} - 15 \, q^{4} t^{4} - 25 \, q^{3} t^{5} + q^{5} t^{2} - 3 \, q^{4} t^{3} - 7 \, q^{3} t^{4} + q^{2} t^{5} - q^{3} t^{3} - q^{2} t^{4} + 5 \, q t^{5} + t^{6}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{14} + q^{13} t + 3 \, q^{12} t - 3 \, q^{11} t^{2} - 12 \, q^{11} t - q^{10} t^{2} - 3 \, q^{9} t^{3} + 4 \, q^{9} t^{2} + 15 \, q^{8} t^{3} + q^{7} t^{4} + 2 \, q^{9} t + 12 \, q^{8} t^{2} - 10 \, q^{7} t^{3} - 2 \, q^{6} t^{4} + 2 \, q^{8} t + 10 \, q^{7} t^{2} - 12 \, q^{6} t^{3} - 2 \, q^{5} t^{4} - q^{7} t - 15 \, q^{6} t^{2} - 4 \, q^{5} t^{3} + 3 \, q^{5} t^{2} + q^{4} t^{3} + 12 \, q^{3} t^{4} + 3 \, q^{3} t^{3} - 3 \, q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{15} + 4 \, q^{14} t + q^{13} t^{2} + 3 \, q^{13} t - 8 \, q^{12} t^{2} - 3 \, q^{11} t^{3} - 28 \, q^{12} t - 21 \, q^{11} t^{2} - 6 \, q^{10} t^{3} + 5 \, q^{9} t^{4} + 12 \, q^{11} t + 52 \, q^{10} t^{2} + 77 \, q^{9} t^{3} - 4 \, q^{8} t^{4} + q^{7} t^{5} + 8 \, q^{10} t + 22 \, q^{9} t^{2} - 78 \, q^{8} t^{3} - 32 \, q^{7} t^{4} - 6 \, q^{6} t^{5} - 6 \, q^{9} t - 32 \, q^{8} t^{2} - 78 \, q^{7} t^{3} + 22 \, q^{6} t^{4} + 8 \, q^{5} t^{5} + q^{8} t - 4 \, q^{7} t^{2} + 77 \, q^{6} t^{3} + 52 \, q^{5} t^{4} + 12 \, q^{4} t^{5} + 5 \, q^{6} t^{2} - 6 \, q^{5} t^{3} - 21 \, q^{4} t^{4} - 28 \, q^{3} t^{5} - 3 \, q^{4} t^{3} - 8 \, q^{3} t^{4} + 3 \, q^{2} t^{5} + q^{2} t^{4} + 4 \, q t^{5} + t^{6}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{14} + q^{13} t + q^{12} t - 3 \, q^{11} t^{2} - 4 \, q^{11} t - q^{10} t^{2} - q^{9} t^{3} - 10 \, q^{10} t - 2 \, q^{9} t^{2} + 9 \, q^{8} t^{3} + q^{7} t^{4} + 6 \, q^{9} t + 26 \, q^{8} t^{2} + 2 \, q^{7} t^{3} - 2 \, q^{6} t^{4} + 2 \, q^{8} t - 2 \, q^{7} t^{2} - 26 \, q^{6} t^{3} - 6 \, q^{5} t^{4} - q^{7} t - 9 \, q^{6} t^{2} + 2 \, q^{5} t^{3} + 10 \, q^{4} t^{4} + q^{5} t^{2} + q^{4} t^{3} + 4 \, q^{3} t^{4} + 3 \, q^{3} t^{3} - q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{21} + q^{20} t - 2 \, q^{18} t^{2} + 11 \, q^{18} t - 4 \, q^{17} t^{2} - q^{16} t^{3} - 52 \, q^{17} t - 20 \, q^{16} t^{2} + 4 \, q^{15} t^{3} + 46 \, q^{16} t + 61 \, q^{15} t^{2} + 28 \, q^{14} t^{3} + 7 \, q^{13} t^{4} - 14 \, q^{15} t - 8 \, q^{14} t^{2} - 20 \, q^{13} t^{3} - 8 \, q^{12} t^{4} + q^{14} t + 21 \, q^{13} t^{2} - 25 \, q^{12} t^{3} - 70 \, q^{11} t^{4} - 13 \, q^{10} t^{5} - 40 \, q^{12} t^{2} - 92 \, q^{11} t^{3} + 92 \, q^{10} t^{4} + 40 \, q^{9} t^{5} + 13 \, q^{11} t^{2} + 70 \, q^{10} t^{3} + 25 \, q^{9} t^{4} - 21 \, q^{8} t^{5} - q^{7} t^{6} + 8 \, q^{9} t^{3} + 20 \, q^{8} t^{4} + 8 \, q^{7} t^{5} + 14 \, q^{6} t^{6} - 7 \, q^{8} t^{3} - 28 \, q^{7} t^{4} - 61 \, q^{6} t^{5} - 46 \, q^{5} t^{6} - 4 \, q^{6} t^{4} + 20 \, q^{5} t^{5} + 52 \, q^{4} t^{6} + q^{5} t^{4} + 4 \, q^{4} t^{5} - 11 \, q^{3} t^{6} + 2 \, q^{3} t^{5} - q t^{6} - t^{7}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{18} + q^{17} t - 2 \, q^{15} t^{2} + 4 \, q^{15} t - 3 \, q^{14} t^{2} - q^{13} t^{3} - 28 \, q^{14} t - 4 \, q^{13} t^{2} + 4 \, q^{12} t^{3} + 20 \, q^{13} t + 19 \, q^{12} t^{2} + 15 \, q^{11} t^{3} + 4 \, q^{10} t^{4} - 2 \, q^{12} t + 24 \, q^{11} t^{2} - 14 \, q^{10} t^{3} - 10 \, q^{9} t^{4} - q^{11} t - 13 \, q^{10} t^{2} - 28 \, q^{9} t^{3} - 13 \, q^{8} t^{4} - q^{7} t^{5} - 10 \, q^{9} t^{2} - 14 \, q^{8} t^{3} + 24 \, q^{7} t^{4} - 2 \, q^{6} t^{5} + 4 \, q^{8} t^{2} + 15 \, q^{7} t^{3} + 19 \, q^{6} t^{4} + 20 \, q^{5} t^{5} + 4 \, q^{6} t^{3} - 4 \, q^{5} t^{4} - 28 \, q^{4} t^{5} - q^{5} t^{3} - 3 \, q^{4} t^{4} + 4 \, q^{3} t^{5} - 2 \, q^{3} t^{4} + q t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{16} + q^{15} t - q^{14} t - q^{13} t^{2} + 4 \, q^{13} t - 2 \, q^{12} t^{2} - 18 \, q^{12} t - 2 \, q^{10} t^{3} + 8 \, q^{11} t + 3 \, q^{10} t^{2} + 11 \, q^{9} t^{3} + 2 \, q^{10} t + 16 \, q^{9} t^{2} - 3 \, q^{8} t^{3} + q^{7} t^{4} - q^{9} t + 3 \, q^{8} t^{2} - 16 \, q^{7} t^{3} - 2 \, q^{6} t^{4} - 11 \, q^{7} t^{2} - 3 \, q^{6} t^{3} - 8 \, q^{5} t^{4} + 2 \, q^{6} t^{2} + 18 \, q^{4} t^{4} + 2 \, q^{4} t^{3} - 4 \, q^{3} t^{4} + q^{3} t^{3} + q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{24} + q^{23} t - q^{22} t - q^{21} t^{2} + 2 \, q^{21} t - 2 \, q^{20} t^{2} - 12 \, q^{20} t - 2 \, q^{19} t^{2} - 2 \, q^{18} t^{3} - 4 \, q^{19} t + 7 \, q^{18} t^{2} + 15 \, q^{17} t^{3} + 10 \, q^{18} t - 9 \, q^{16} t^{3} + q^{15} t^{4} - 3 \, q^{17} t + 52 \, q^{16} t^{2} + 9 \, q^{15} t^{3} + 2 \, q^{14} t^{4} - 35 \, q^{15} t^{2} - 46 \, q^{14} t^{3} - 35 \, q^{13} t^{4} + 6 \, q^{13} t^{3} + 40 \, q^{12} t^{4} - 2 \, q^{11} t^{5} + 2 \, q^{13} t^{2} - 40 \, q^{12} t^{3} - 6 \, q^{11} t^{4} + 35 \, q^{11} t^{3} + 46 \, q^{10} t^{4} + 35 \, q^{9} t^{5} - 2 \, q^{10} t^{3} - 9 \, q^{9} t^{4} - 52 \, q^{8} t^{5} + 3 \, q^{7} t^{6} - q^{9} t^{3} + 9 \, q^{8} t^{4} - 10 \, q^{6} t^{6} - 15 \, q^{7} t^{4} - 7 \, q^{6} t^{5} + 4 \, q^{5} t^{6} + 2 \, q^{6} t^{4} + 2 \, q^{5} t^{5} + 12 \, q^{4} t^{6} + 2 \, q^{4} t^{5} - 2 \, q^{3} t^{6} + q^{3} t^{5} + q^{2} t^{6} - q t^{6} - t^{7}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{13} + q^{12} t - q^{11} t - q^{10} t^{2} - q^{10} t - q^{9} t^{2} - 4 \, q^{9} t + 3 \, q^{8} t^{2} - q^{7} t^{3} - 2 \, q^{8} t + 2 \, q^{7} t^{2} + 4 \, q^{6} t^{3} + 4 \, q^{7} t + 2 \, q^{6} t^{2} - 2 \, q^{5} t^{3} - q^{6} t + 3 \, q^{5} t^{2} - 4 \, q^{4} t^{3} - q^{4} t^{2} - q^{3} t^{3} - q^{3} t^{2} - q^{2} t^{3} + q t^{3} + t^{4}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{22} + q^{21} t + 4 \, q^{20} t - 4 \, q^{19} t^{2} - 10 \, q^{19} t - 8 \, q^{18} t^{2} - 2 \, q^{17} t^{3} - 22 \, q^{18} t - 18 \, q^{17} t^{2} + 32 \, q^{16} t^{3} + 2 \, q^{15} t^{4} + 28 \, q^{17} t + 115 \, q^{16} t^{2} + 7 \, q^{15} t^{3} + 11 \, q^{14} t^{4} - q^{13} t^{5} - 10 \, q^{16} t - 52 \, q^{15} t^{2} - 38 \, q^{14} t^{3} - 120 \, q^{13} t^{4} - 12 \, q^{12} t^{5} + q^{15} t - 3 \, q^{14} t^{2} - 154 \, q^{13} t^{3} + 104 \, q^{12} t^{4} + 34 \, q^{11} t^{5} + 4 \, q^{10} t^{6} - 6 \, q^{13} t^{2} + 78 \, q^{12} t^{3} + 76 \, q^{11} t^{4} + 78 \, q^{10} t^{5} - 6 \, q^{9} t^{6} + 4 \, q^{12} t^{2} + 34 \, q^{11} t^{3} + 104 \, q^{10} t^{4} - 154 \, q^{9} t^{5} - 3 \, q^{8} t^{6} + q^{7} t^{7} - 12 \, q^{10} t^{3} - 120 \, q^{9} t^{4} - 38 \, q^{8} t^{5} - 52 \, q^{7} t^{6} - 10 \, q^{6} t^{7} - q^{9} t^{3} + 11 \, q^{8} t^{4} + 7 \, q^{7} t^{5} + 115 \, q^{6} t^{6} + 28 \, q^{5} t^{7} + 2 \, q^{7} t^{4} + 32 \, q^{6} t^{5} - 18 \, q^{5} t^{6} - 22 \, q^{4} t^{7} - 2 \, q^{5} t^{5} - 8 \, q^{4} t^{6} - 10 \, q^{3} t^{7} - 4 \, q^{3} t^{6} + 4 \, q^{2} t^{7} + q t^{7} + t^{8}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{4} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{18} + q^{17} t + 4 \, q^{16} t - 2 \, q^{15} t^{2} - 6 \, q^{15} t - 3 \, q^{14} t^{2} - q^{13} t^{3} - 20 \, q^{14} t - 12 \, q^{13} t^{2} + 18 \, q^{13} t + 31 \, q^{12} t^{2} + 29 \, q^{11} t^{3} + 4 \, q^{10} t^{4} - 2 \, q^{12} t + 28 \, q^{11} t^{2} - 22 \, q^{10} t^{3} - 6 \, q^{9} t^{4} - q^{11} t - 25 \, q^{10} t^{2} - 32 \, q^{9} t^{3} - 25 \, q^{8} t^{4} - q^{7} t^{5} - 6 \, q^{9} t^{2} - 22 \, q^{8} t^{3} + 28 \, q^{7} t^{4} - 2 \, q^{6} t^{5} + 4 \, q^{8} t^{2} + 29 \, q^{7} t^{3} + 31 \, q^{6} t^{4} + 18 \, q^{5} t^{5} - 12 \, q^{5} t^{4} - 20 \, q^{4} t^{5} - q^{5} t^{3} - 3 \, q^{4} t^{4} - 6 \, q^{3} t^{5} - 2 \, q^{3} t^{4} + 4 \, q^{2} t^{5} + q t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{17} + 4 \, q^{15} t + 6 \, q^{14} t + q^{13} t^{2} - 40 \, q^{13} t - 8 \, q^{12} t^{2} + 34 \, q^{12} t - 21 \, q^{11} t^{2} - 6 \, q^{10} t^{3} - 10 \, q^{11} t + 68 \, q^{10} t^{2} + 18 \, q^{9} t^{3} + q^{10} t - 18 \, q^{9} t^{2} + 18 \, q^{8} t^{3} - q^{7} t^{4} - 18 \, q^{8} t^{2} - 68 \, q^{7} t^{3} + 10 \, q^{6} t^{4} + 6 \, q^{7} t^{2} + 21 \, q^{6} t^{3} - 34 \, q^{5} t^{4} + 8 \, q^{5} t^{3} + 40 \, q^{4} t^{4} - q^{4} t^{3} - 6 \, q^{3} t^{4} - 4 \, q^{2} t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{19} + q^{18} t - 2 \, q^{17} t + q^{16} t - q^{15} t^{2} + 2 \, q^{15} t - 2 \, q^{14} t^{2} - 18 \, q^{14} t + 4 \, q^{13} t^{2} + 14 \, q^{13} t - 3 \, q^{12} t + 8 \, q^{11} t^{2} + 7 \, q^{10} t^{3} + 8 \, q^{10} t^{2} - 8 \, q^{9} t^{3} - 7 \, q^{9} t^{2} - 8 \, q^{8} t^{3} + 3 \, q^{7} t^{4} - 14 \, q^{6} t^{4} - 4 \, q^{6} t^{3} + 18 \, q^{5} t^{4} + 2 \, q^{5} t^{3} - 2 \, q^{4} t^{4} + q^{4} t^{3} - q^{3} t^{4} + 2 \, q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{4} - t\right)}^{2} {\left(q^{3} - t\right)} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{15} + q^{14} t - 2 \, q^{13} t + q^{12} t - q^{11} t^{2} - q^{11} t - q^{10} t^{2} - 8 \, q^{10} t + 4 \, q^{9} t^{2} + 6 \, q^{9} t + q^{8} t^{2} - q^{7} t^{3} - q^{8} t + q^{7} t^{2} + 6 \, q^{6} t^{3} + 4 \, q^{6} t^{2} - 8 \, q^{5} t^{3} - q^{5} t^{2} - q^{4} t^{3} - q^{4} t^{2} + q^{3} t^{3} - 2 \, q^{2} t^{3} + q t^{3} + t^{4}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{15} + 4 \, q^{14} t + q^{13} t^{2} + q^{13} t - 10 \, q^{12} t^{2} - 3 \, q^{11} t^{3} - 24 \, q^{12} t - 9 \, q^{11} t^{2} - 2 \, q^{10} t^{3} + 5 \, q^{9} t^{4} + 10 \, q^{11} t + 38 \, q^{10} t^{2} + 59 \, q^{9} t^{3} - 6 \, q^{8} t^{4} + q^{7} t^{5} + 8 \, q^{10} t + 20 \, q^{9} t^{2} - 64 \, q^{8} t^{3} - 24 \, q^{7} t^{4} - 6 \, q^{6} t^{5} - 6 \, q^{9} t - 24 \, q^{8} t^{2} - 64 \, q^{7} t^{3} + 20 \, q^{6} t^{4} + 8 \, q^{5} t^{5} + q^{8} t - 6 \, q^{7} t^{2} + 59 \, q^{6} t^{3} + 38 \, q^{5} t^{4} + 10 \, q^{4} t^{5} + 5 \, q^{6} t^{2} - 2 \, q^{5} t^{3} - 9 \, q^{4} t^{4} - 24 \, q^{3} t^{5} - 3 \, q^{4} t^{3} - 10 \, q^{3} t^{4} + q^{2} t^{5} + q^{2} t^{4} + 4 \, q t^{5} + t^{6}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{22} + q^{21} t + 12 \, q^{20} t - 4 \, q^{19} t^{2} - 34 \, q^{19} t + 4 \, q^{18} t^{2} - 20 \, q^{17} t^{3} + 4 \, q^{18} t - 100 \, q^{17} t^{2} + 92 \, q^{16} t^{3} + 2 \, q^{15} t^{4} + 16 \, q^{17} t + 273 \, q^{16} t^{2} - 73 \, q^{15} t^{3} + 65 \, q^{14} t^{4} + q^{13} t^{5} - 8 \, q^{16} t - 160 \, q^{15} t^{2} + 120 \, q^{14} t^{3} - 324 \, q^{13} t^{4} - 12 \, q^{12} t^{5} + q^{15} t + q^{14} t^{2} - 454 \, q^{13} t^{3} + 394 \, q^{12} t^{4} - 46 \, q^{11} t^{5} - 2 \, q^{10} t^{6} + 16 \, q^{13} t^{2} + 336 \, q^{12} t^{3} - 204 \, q^{11} t^{4} + 336 \, q^{10} t^{5} + 16 \, q^{9} t^{6} - 2 \, q^{12} t^{2} - 46 \, q^{11} t^{3} + 394 \, q^{10} t^{4} - 454 \, q^{9} t^{5} + q^{8} t^{6} + q^{7} t^{7} - 12 \, q^{10} t^{3} - 324 \, q^{9} t^{4} + 120 \, q^{8} t^{5} - 160 \, q^{7} t^{6} - 8 \, q^{6} t^{7} + q^{9} t^{3} + 65 \, q^{8} t^{4} - 73 \, q^{7} t^{5} + 273 \, q^{6} t^{6} + 16 \, q^{5} t^{7} + 2 \, q^{7} t^{4} + 92 \, q^{6} t^{5} - 100 \, q^{5} t^{6} + 4 \, q^{4} t^{7} - 20 \, q^{5} t^{5} + 4 \, q^{4} t^{6} - 34 \, q^{3} t^{7} - 4 \, q^{3} t^{6} + 12 \, q^{2} t^{7} + q t^{7} + t^{8}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{4} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{15} + 5 \, q^{14} t - q^{13} t^{2} - q^{12} t^{3} - 7 \, q^{13} t - 9 \, q^{12} t^{2} + q^{11} t^{3} + q^{10} t^{4} - 5 \, q^{12} t + q^{11} t^{2} + 15 \, q^{10} t^{3} - q^{9} t^{4} - 6 \, q^{11} t + 25 \, q^{10} t^{2} - 3 \, q^{9} t^{3} - q^{8} t^{4} - q^{7} t^{5} + 8 \, q^{10} t + 18 \, q^{9} t^{2} - 22 \, q^{8} t^{3} - 18 \, q^{7} t^{4} - 18 \, q^{8} t^{2} - 22 \, q^{7} t^{3} + 18 \, q^{6} t^{4} + 8 \, q^{5} t^{5} - q^{8} t - q^{7} t^{2} - 3 \, q^{6} t^{3} + 25 \, q^{5} t^{4} - 6 \, q^{4} t^{5} - q^{6} t^{2} + 15 \, q^{5} t^{3} + q^{4} t^{4} - 5 \, q^{3} t^{5} + q^{5} t^{2} + q^{4} t^{3} - 9 \, q^{3} t^{4} - 7 \, q^{2} t^{5} - q^{3} t^{3} - q^{2} t^{4} + 5 \, q t^{5} + t^{6}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{14} + 3 \, q^{13} t - 3 \, q^{12} t^{2} + q^{11} t^{3} - 2 \, q^{12} t - 8 \, q^{11} t^{2} + 2 \, q^{9} t^{4} - 10 \, q^{11} t + 9 \, q^{10} t^{2} + 15 \, q^{9} t^{3} - 5 \, q^{8} t^{4} - q^{7} t^{5} - 4 \, q^{10} t + 24 \, q^{9} t^{2} - 2 \, q^{8} t^{3} - 10 \, q^{7} t^{4} + 8 \, q^{9} t + 6 \, q^{8} t^{2} - 48 \, q^{7} t^{3} + 6 \, q^{6} t^{4} + 8 \, q^{5} t^{5} - 10 \, q^{7} t^{2} - 2 \, q^{6} t^{3} + 24 \, q^{5} t^{4} - 4 \, q^{4} t^{5} - q^{7} t - 5 \, q^{6} t^{2} + 15 \, q^{5} t^{3} + 9 \, q^{4} t^{4} - 10 \, q^{3} t^{5} + 2 \, q^{5} t^{2} - 8 \, q^{3} t^{4} - 2 \, q^{2} t^{5} + q^{3} t^{3} - 3 \, q^{2} t^{4} + 3 \, q t^{5} + t^{6}}{{\left(q^{2} - t\right)}^{2} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{22} + 3 \, q^{21} t - 3 \, q^{20} t^{2} + q^{19} t^{3} - q^{20} t - 11 \, q^{19} t^{2} - q^{18} t^{3} + 3 \, q^{17} t^{4} - 16 \, q^{19} t + q^{18} t^{2} + 41 \, q^{17} t^{3} - 11 \, q^{16} t^{4} - 3 \, q^{15} t^{5} - 6 \, q^{18} t + 44 \, q^{17} t^{2} - q^{16} t^{3} - 11 \, q^{15} t^{4} - 7 \, q^{14} t^{5} + q^{13} t^{6} + 18 \, q^{17} t + 45 \, q^{16} t^{2} - 79 \, q^{15} t^{3} - 95 \, q^{14} t^{4} + 45 \, q^{13} t^{5} + 8 \, q^{12} t^{6} - 8 \, q^{16} t - 36 \, q^{15} t^{2} - 91 \, q^{14} t^{3} + 123 \, q^{13} t^{4} + 43 \, q^{12} t^{5} - 11 \, q^{11} t^{6} - 2 \, q^{10} t^{7} + q^{15} t - 7 \, q^{14} t^{2} - 15 \, q^{13} t^{3} + 174 \, q^{12} t^{4} - 21 \, q^{11} t^{5} - 59 \, q^{10} t^{6} - q^{9} t^{7} + q^{13} t^{2} + 59 \, q^{12} t^{3} + 21 \, q^{11} t^{4} - 174 \, q^{10} t^{5} + 15 \, q^{9} t^{6} + 7 \, q^{8} t^{7} - q^{7} t^{8} + 2 \, q^{12} t^{2} + 11 \, q^{11} t^{3} - 43 \, q^{10} t^{4} - 123 \, q^{9} t^{5} + 91 \, q^{8} t^{6} + 36 \, q^{7} t^{7} + 8 \, q^{6} t^{8} - 8 \, q^{10} t^{3} - 45 \, q^{9} t^{4} + 95 \, q^{8} t^{5} + 79 \, q^{7} t^{6} - 45 \, q^{6} t^{7} - 18 \, q^{5} t^{8} - q^{9} t^{3} + 7 \, q^{8} t^{4} + 11 \, q^{7} t^{5} + q^{6} t^{6} - 44 \, q^{5} t^{7} + 6 \, q^{4} t^{8} + 3 \, q^{7} t^{4} + 11 \, q^{6} t^{5} - 41 \, q^{5} t^{6} - q^{4} t^{7} + 16 \, q^{3} t^{8} - 3 \, q^{5} t^{5} + q^{4} t^{6} + 11 \, q^{3} t^{7} + q^{2} t^{8} - q^{3} t^{6} + 3 \, q^{2} t^{7} - 3 \, q t^{8} - t^{9}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{18} + q^{17} t + 2 \, q^{16} t - 2 \, q^{15} t^{2} - 4 \, q^{15} t - 5 \, q^{14} t^{2} + q^{13} t^{3} - 16 \, q^{14} t + 2 \, q^{13} t^{2} - 6 \, q^{12} t^{3} + 12 \, q^{13} t + 15 \, q^{12} t^{2} + 39 \, q^{11} t^{3} + 4 \, q^{10} t^{4} + 20 \, q^{11} t^{2} - 52 \, q^{10} t^{3} - 12 \, q^{9} t^{4} - q^{11} t - 7 \, q^{10} t^{2} + 16 \, q^{9} t^{3} - 7 \, q^{8} t^{4} - q^{7} t^{5} - 12 \, q^{9} t^{2} - 52 \, q^{8} t^{3} + 20 \, q^{7} t^{4} + 4 \, q^{8} t^{2} + 39 \, q^{7} t^{3} + 15 \, q^{6} t^{4} + 12 \, q^{5} t^{5} - 6 \, q^{6} t^{3} + 2 \, q^{5} t^{4} - 16 \, q^{4} t^{5} + q^{5} t^{3} - 5 \, q^{4} t^{4} - 4 \, q^{3} t^{5} - 2 \, q^{3} t^{4} + 2 \, q^{2} t^{5} + q t^{5} + t^{6}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{2} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{20} + q^{19} t - q^{18} t - q^{17} t^{2} + 2 \, q^{17} t - 2 \, q^{16} t^{2} - 11 \, q^{16} t - 3 \, q^{15} t^{2} - 4 \, q^{15} t + 10 \, q^{14} t^{2} + 8 \, q^{13} t^{3} + 10 \, q^{14} t + 8 \, q^{13} t^{2} - 5 \, q^{12} t^{3} + q^{11} t^{4} - 3 \, q^{13} t + 17 \, q^{12} t^{2} + 4 \, q^{11} t^{3} - 2 \, q^{10} t^{4} - 13 \, q^{11} t^{2} - 34 \, q^{10} t^{3} - 13 \, q^{9} t^{4} - 2 \, q^{10} t^{2} + 4 \, q^{9} t^{3} + 17 \, q^{8} t^{4} - 3 \, q^{7} t^{5} + q^{9} t^{2} - 5 \, q^{8} t^{3} + 8 \, q^{7} t^{4} + 10 \, q^{6} t^{5} + 8 \, q^{7} t^{3} + 10 \, q^{6} t^{4} - 4 \, q^{5} t^{5} - 3 \, q^{5} t^{4} - 11 \, q^{4} t^{5} - 2 \, q^{4} t^{4} + 2 \, q^{3} t^{5} - q^{3} t^{4} - q^{2} t^{5} + q t^{5} + t^{6}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{21} + 2 \, q^{20} t - q^{19} t^{2} + 7 \, q^{19} t - 6 \, q^{18} t^{2} + 3 \, q^{17} t^{3} - 22 \, q^{18} t - 27 \, q^{17} t^{2} - 12 \, q^{16} t^{3} + 7 \, q^{15} t^{4} - 14 \, q^{17} t + 54 \, q^{16} t^{2} + 77 \, q^{15} t^{3} - 18 \, q^{14} t^{4} - q^{13} t^{5} + 30 \, q^{16} t + 33 \, q^{15} t^{2} - 6 \, q^{14} t^{3} + 9 \, q^{13} t^{4} - 26 \, q^{12} t^{5} - 12 \, q^{15} t + 8 \, q^{14} t^{2} - 211 \, q^{13} t^{3} - 144 \, q^{12} t^{4} + 85 \, q^{11} t^{5} + 4 \, q^{10} t^{6} + q^{14} t - 44 \, q^{13} t^{2} + 85 \, q^{12} t^{3} + 181 \, q^{11} t^{4} - 50 \, q^{10} t^{5} + 7 \, q^{9} t^{6} + 7 \, q^{12} t^{2} - 50 \, q^{11} t^{3} + 181 \, q^{10} t^{4} + 85 \, q^{9} t^{5} - 44 \, q^{8} t^{6} + q^{7} t^{7} + 4 \, q^{11} t^{2} + 85 \, q^{10} t^{3} - 144 \, q^{9} t^{4} - 211 \, q^{8} t^{5} + 8 \, q^{7} t^{6} - 12 \, q^{6} t^{7} - 26 \, q^{9} t^{3} + 9 \, q^{8} t^{4} - 6 \, q^{7} t^{5} + 33 \, q^{6} t^{6} + 30 \, q^{5} t^{7} - q^{8} t^{3} - 18 \, q^{7} t^{4} + 77 \, q^{6} t^{5} + 54 \, q^{5} t^{6} - 14 \, q^{4} t^{7} + 7 \, q^{6} t^{4} - 12 \, q^{5} t^{5} - 27 \, q^{4} t^{6} - 22 \, q^{3} t^{7} + 3 \, q^{4} t^{5} - 6 \, q^{3} t^{6} + 7 \, q^{2} t^{7} - q^{2} t^{6} + 2 \, q t^{7} + t^{8}}{{\left(q^{3} - t\right)}^{2} {\left(q^{2} - t\right)}^{3} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{19} + q^{18} t + 12 \, q^{17} t - 4 \, q^{16} t^{2} - 33 \, q^{16} t - 5 \, q^{15} t^{2} - 16 \, q^{14} t^{3} + 4 \, q^{15} t - 44 \, q^{14} t^{2} + 78 \, q^{13} t^{3} + 6 \, q^{12} t^{4} + 16 \, q^{14} t + 166 \, q^{13} t^{2} - 64 \, q^{12} t^{3} + 17 \, q^{11} t^{4} - q^{10} t^{5} - 8 \, q^{13} t - 100 \, q^{12} t^{2} + 34 \, q^{11} t^{3} - 158 \, q^{10} t^{4} - 4 \, q^{9} t^{5} + q^{12} t + 3 \, q^{11} t^{2} - 202 \, q^{10} t^{3} + 202 \, q^{9} t^{4} - 3 \, q^{8} t^{5} - q^{7} t^{6} + 4 \, q^{10} t^{2} + 158 \, q^{9} t^{3} - 34 \, q^{8} t^{4} + 100 \, q^{7} t^{5} + 8 \, q^{6} t^{6} + q^{9} t^{2} - 17 \, q^{8} t^{3} + 64 \, q^{7} t^{4} - 166 \, q^{6} t^{5} - 16 \, q^{5} t^{6} - 6 \, q^{7} t^{3} - 78 \, q^{6} t^{4} + 44 \, q^{5} t^{5} - 4 \, q^{4} t^{6} + 16 \, q^{5} t^{4} + 5 \, q^{4} t^{5} + 33 \, q^{3} t^{6} + 4 \, q^{3} t^{5} - 12 \, q^{2} t^{6} - q t^{6} - t^{7}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{4} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{21} + q^{20} t - 2 \, q^{19} t + 11 \, q^{18} t - 3 \, q^{17} t^{2} - 31 \, q^{17} t - 3 \, q^{16} t^{2} + 16 \, q^{16} t + 15 \, q^{15} t^{2} - 9 \, q^{14} t^{3} - 39 \, q^{14} t^{2} + 47 \, q^{13} t^{3} - q^{14} t + 107 \, q^{13} t^{2} - 55 \, q^{12} t^{3} - q^{11} t^{4} - 80 \, q^{12} t^{2} + 7 \, q^{11} t^{3} + 19 \, q^{10} t^{4} + 19 \, q^{11} t^{2} + 7 \, q^{10} t^{3} - 80 \, q^{9} t^{4} - q^{10} t^{2} - 55 \, q^{9} t^{3} + 107 \, q^{8} t^{4} - q^{7} t^{5} + 47 \, q^{8} t^{3} - 39 \, q^{7} t^{4} - 9 \, q^{7} t^{3} + 15 \, q^{6} t^{4} + 16 \, q^{5} t^{5} - 3 \, q^{5} t^{4} - 31 \, q^{4} t^{5} - 3 \, q^{4} t^{4} + 11 \, q^{3} t^{5} - 2 \, q^{2} t^{5} + q t^{5} + t^{6}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{14} + 2 \, q^{13} t - q^{12} t^{2} - q^{12} t - 2 \, q^{11} t^{2} + q^{10} t^{3} - 5 \, q^{11} t - 4 \, q^{10} t^{2} + q^{9} t^{3} - 4 \, q^{10} t + 11 \, q^{9} t^{2} + q^{7} t^{4} + 12 \, q^{8} t^{2} + 4 \, q^{7} t^{3} - 4 \, q^{6} t^{4} + 4 \, q^{8} t - 4 \, q^{7} t^{2} - 12 \, q^{6} t^{3} - q^{7} t - 11 \, q^{5} t^{3} + 4 \, q^{4} t^{4} - q^{5} t^{2} + 4 \, q^{4} t^{3} + 5 \, q^{3} t^{4} - q^{4} t^{2} + 2 \, q^{3} t^{3} + q^{2} t^{4} + q^{2} t^{3} - 2 \, q t^{4} - t^{5}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{12} + q^{11} t - 2 \, q^{10} t + q^{8} t - q^{7} t^{2} - 4 \, q^{7} t + 4 \, q^{5} t^{2} + q^{5} t - q^{4} t^{2} + 2 \, q^{2} t^{2} - q t^{2} - t^{3}}{{\left(q^{4} - t\right)} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{24} + 10 \, q^{22} t - 11 \, q^{21} t + 2 \, q^{20} t^{2} - 36 \, q^{20} t - 92 \, q^{19} t^{2} - 6 \, q^{18} t^{3} + 42 \, q^{19} t + 177 \, q^{18} t^{2} + 18 \, q^{17} t^{3} + q^{16} t^{4} - 14 \, q^{18} t - 20 \, q^{17} t^{2} + 188 \, q^{16} t^{3} + 28 \, q^{15} t^{4} + q^{17} t - 40 \, q^{16} t^{2} - 375 \, q^{15} t^{3} - 82 \, q^{14} t^{4} - 7 \, q^{13} t^{5} - 8 \, q^{15} t^{2} - 14 \, q^{14} t^{3} - 260 \, q^{13} t^{4} - 32 \, q^{12} t^{5} + 9 \, q^{14} t^{2} + 172 \, q^{13} t^{3} + 696 \, q^{12} t^{4} + 172 \, q^{11} t^{5} + 9 \, q^{10} t^{6} - 32 \, q^{12} t^{3} - 260 \, q^{11} t^{4} - 14 \, q^{10} t^{5} - 8 \, q^{9} t^{6} - 7 \, q^{11} t^{3} - 82 \, q^{10} t^{4} - 375 \, q^{9} t^{5} - 40 \, q^{8} t^{6} + q^{7} t^{7} + 28 \, q^{9} t^{4} + 188 \, q^{8} t^{5} - 20 \, q^{7} t^{6} - 14 \, q^{6} t^{7} + q^{8} t^{4} + 18 \, q^{7} t^{5} + 177 \, q^{6} t^{6} + 42 \, q^{5} t^{7} - 6 \, q^{6} t^{5} - 92 \, q^{5} t^{6} - 36 \, q^{4} t^{7} + 2 \, q^{4} t^{6} - 11 \, q^{3} t^{7} + 10 \, q^{2} t^{7} + t^{8}}{{\left(q^{3} - t\right)}^{3} {\left(q^{2} - t\right)}^{4} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{12} + 3 \, q^{11} t - 3 \, q^{10} t^{2} + q^{9} t^{3} - 5 \, q^{10} t - 5 \, q^{9} t^{2} + q^{8} t^{3} + q^{7} t^{4} - 4 \, q^{9} t + 16 \, q^{8} t^{2} + 4 \, q^{7} t^{3} - 4 \, q^{6} t^{4} - 2 \, q^{7} t^{2} - 10 \, q^{6} t^{3} + 2 \, q^{5} t^{4} - 2 \, q^{7} t + 10 \, q^{6} t^{2} + 2 \, q^{5} t^{3} + 4 \, q^{6} t - 4 \, q^{5} t^{2} - 16 \, q^{4} t^{3} + 4 \, q^{3} t^{4} - q^{5} t - q^{4} t^{2} + 5 \, q^{3} t^{3} + 5 \, q^{2} t^{4} - q^{3} t^{2} + 3 \, q^{2} t^{3} - 3 \, q t^{4} - t^{5}}{{\left(q^{2} - t\right)} {\left(q - t\right)}^{3} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{14} + q^{13} t + 9 \, q^{12} t - 3 \, q^{11} t^{2} - 24 \, q^{11} t + 3 \, q^{10} t^{2} - 9 \, q^{9} t^{3} + 2 \, q^{10} t - 24 \, q^{9} t^{2} + 29 \, q^{8} t^{3} - q^{7} t^{4} + 12 \, q^{9} t + 54 \, q^{8} t^{2} + 6 \, q^{6} t^{4} - 6 \, q^{8} t - 54 \, q^{6} t^{3} - 12 \, q^{5} t^{4} + q^{7} t - 29 \, q^{6} t^{2} + 24 \, q^{5} t^{3} - 2 \, q^{4} t^{4} + 9 \, q^{5} t^{2} - 3 \, q^{4} t^{3} + 24 \, q^{3} t^{4} + 3 \, q^{3} t^{3} - 9 \, q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{14} + q^{13} t + 5 \, q^{12} t - 3 \, q^{11} t^{2} - 14 \, q^{11} t - 3 \, q^{10} t^{2} - 3 \, q^{9} t^{3} - 4 \, q^{10} t + 2 \, q^{9} t^{2} + 13 \, q^{8} t^{3} + q^{7} t^{4} + 8 \, q^{9} t + 24 \, q^{8} t^{2} - 24 \, q^{6} t^{3} - 8 \, q^{5} t^{4} - q^{7} t - 13 \, q^{6} t^{2} - 2 \, q^{5} t^{3} + 4 \, q^{4} t^{4} + 3 \, q^{5} t^{2} + 3 \, q^{4} t^{3} + 14 \, q^{3} t^{4} + 3 \, q^{3} t^{3} - 5 \, q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{14} + q^{13} t + 3 \, q^{12} t - 3 \, q^{11} t^{2} - 10 \, q^{11} t - 3 \, q^{10} t^{2} - q^{9} t^{3} - 4 \, q^{10} t + 4 \, q^{9} t^{2} + 9 \, q^{8} t^{3} + q^{7} t^{4} + 4 \, q^{9} t + 20 \, q^{8} t^{2} - 2 \, q^{6} t^{4} + 2 \, q^{8} t - 20 \, q^{6} t^{3} - 4 \, q^{5} t^{4} - q^{7} t - 9 \, q^{6} t^{2} - 4 \, q^{5} t^{3} + 4 \, q^{4} t^{4} + q^{5} t^{2} + 3 \, q^{4} t^{3} + 10 \, q^{3} t^{4} + 3 \, q^{3} t^{3} - 3 \, q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{14} + q^{13} t + 5 \, q^{12} t - 3 \, q^{11} t^{2} - 14 \, q^{11} t - 5 \, q^{10} t^{2} - q^{9} t^{3} - 2 \, q^{10} t + 4 \, q^{9} t^{2} + 9 \, q^{8} t^{3} + q^{7} t^{4} + 4 \, q^{9} t + 26 \, q^{8} t^{2} + 4 \, q^{7} t^{3} - 2 \, q^{6} t^{4} + 2 \, q^{8} t - 4 \, q^{7} t^{2} - 26 \, q^{6} t^{3} - 4 \, q^{5} t^{4} - q^{7} t - 9 \, q^{6} t^{2} - 4 \, q^{5} t^{3} + 2 \, q^{4} t^{4} + q^{5} t^{2} + 5 \, q^{4} t^{3} + 14 \, q^{3} t^{4} + 3 \, q^{3} t^{3} - 5 \, q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{15} + 2 \, q^{14} t - q^{13} t^{2} - 4 \, q^{13} t + 6 \, q^{12} t - 2 \, q^{11} t^{2} + 2 \, q^{10} t^{3} - 16 \, q^{11} t - 8 \, q^{10} t^{2} + 2 \, q^{10} t + 37 \, q^{9} t^{2} - 6 \, q^{8} t^{3} + 3 \, q^{7} t^{4} + 8 \, q^{9} t - 20 \, q^{8} t^{2} + 20 \, q^{7} t^{3} - 8 \, q^{6} t^{4} - 3 \, q^{8} t + 6 \, q^{7} t^{2} - 37 \, q^{6} t^{3} - 2 \, q^{5} t^{4} + 8 \, q^{5} t^{3} + 16 \, q^{4} t^{4} - 2 \, q^{5} t^{2} + 2 \, q^{4} t^{3} - 6 \, q^{3} t^{4} + 4 \, q^{2} t^{4} + q^{2} t^{3} - 2 \, q t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{2} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{15} + 2 \, q^{14} t - q^{13} t^{2} - 4 \, q^{13} t + 2 \, q^{12} t - 2 \, q^{11} t^{2} + 2 \, q^{10} t^{3} - 8 \, q^{11} t + 19 \, q^{9} t^{2} - 4 \, q^{8} t^{3} + q^{7} t^{4} + 4 \, q^{9} t - 8 \, q^{8} t^{2} + 8 \, q^{7} t^{3} - 4 \, q^{6} t^{4} - q^{8} t + 4 \, q^{7} t^{2} - 19 \, q^{6} t^{3} + 8 \, q^{4} t^{4} - 2 \, q^{5} t^{2} + 2 \, q^{4} t^{3} - 2 \, q^{3} t^{4} + 4 \, q^{2} t^{4} + q^{2} t^{3} - 2 \, q t^{4} - t^{5}}{{\left(q^{3} - t\right)}^{2} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{14} + q^{13} t + 7 \, q^{12} t - 3 \, q^{11} t^{2} - 18 \, q^{11} t - 3 \, q^{10} t^{2} - 5 \, q^{9} t^{3} - 2 \, q^{10} t - 4 \, q^{9} t^{2} + 19 \, q^{8} t^{3} + q^{7} t^{4} + 8 \, q^{9} t + 34 \, q^{8} t^{2} - 34 \, q^{6} t^{3} - 8 \, q^{5} t^{4} - q^{7} t - 19 \, q^{6} t^{2} + 4 \, q^{5} t^{3} + 2 \, q^{4} t^{4} + 5 \, q^{5} t^{2} + 3 \, q^{4} t^{3} + 18 \, q^{3} t^{4} + 3 \, q^{3} t^{3} - 7 \, q^{2} t^{4} - q t^{4} - t^{5}}{{\left(q^{2} - t\right)}^{3} {\left(q - t\right)} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{16} + 2 \, q^{15} t - q^{14} t^{2} - 4 \, q^{14} t + q^{13} t + q^{11} t^{3} - 3 \, q^{12} t - 4 \, q^{11} t^{2} + q^{10} t^{3} - 6 \, q^{11} t + 18 \, q^{10} t^{2} + 6 \, q^{10} t - 7 \, q^{9} t^{2} - 6 \, q^{8} t^{3} + q^{7} t^{4} - q^{9} t + 6 \, q^{8} t^{2} + 7 \, q^{7} t^{3} - 6 \, q^{6} t^{4} - 18 \, q^{6} t^{3} + 6 \, q^{5} t^{4} - q^{6} t^{2} + 4 \, q^{5} t^{3} + 3 \, q^{4} t^{4} - q^{5} t^{2} - q^{3} t^{4} + 4 \, q^{2} t^{4} + q^{2} t^{3} - 2 \, q t^{4} - t^{5}}{{\left(q^{4} - t\right)} {\left(q^{3} - t\right)} {\left(q - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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[#]: | \(\displaystyle \frac{q^{14} + 2 \, q^{12} t - q^{11} t - q^{10} t^{2} - 8 \, q^{10} t - 4 \, q^{9} t^{2} + 2 \, q^{9} t + 6 \, q^{8} t^{2} + q^{7} t^{3} + 4 \, q^{7} t^{2} + q^{7} t + 6 \, q^{6} t^{2} + 2 \, q^{5} t^{3} - 4 \, q^{5} t^{2} - 8 \, q^{4} t^{3} - q^{4} t^{2} - q^{3} t^{3} + 2 \, q^{2} t^{3} + t^{4}}{{\left(q^{3} - t\right)} {\left(q^{2} - t\right)}^{2} q^{7} {\left(t - 1\right)}^{2}}\) |
| 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]] |