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…or describe it by its bases, non-bases or lines
Any labeling of the ground set $\{1,\dots,n\}$ will do: we compute the canonical id.
Sets are written as {1,2,3}, one per line, or, when $n \le 9$, as digit strings such as
123 145. Lines are the lines with at least three points of a simple rank-3 matroid.
A revlex encoding is a string of * and 0.
2,030,492 matroids, showing 22,551–22,600
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.12.178030 | 3 | 12 | 210 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.178050 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.178064 | 3 | 12 | 208 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.178072 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.178086 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.178100 | 3 | 12 | 208 | 1 | ✓ | all but 2,7 | 0 | ? |
| 3.12.178101 | 3 | 12 | 209 | 1 | ✓ | all | 0 | ? |
| 3.12.178124 | 3 | 12 | 208 | 1 | ✓ | all | 0 | ? |
| 3.12.178144 | 3 | 12 | 209 | 1 | ✓ | all | 0 | ? |
| 3.12.178150 | 3 | 12 | 210 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.178168 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.178172 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.178175 | 3 | 12 | 209 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.178177 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.178182 | 3 | 12 | 209 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.178185 | 3 | 12 | 208 | 1 | ✓ | all but 2,7 | 0 | ? |
| 3.12.178193 | 3 | 12 | 208 | 1 | ✓ | all | 0 | ? |
| 3.12.178199 | 3 | 12 | 210 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.178202 | 3 | 12 | 209 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.178207 | 3 | 12 | 210 | 1 | ✓ | all but 2,3,5 | 0 | ? |
| 3.12.178210 | 3 | 12 | 209 | 1 | ✓ | all but 2,3,5,7 | 0 | ? |
| 3.12.178239 | 3 | 12 | 208 | 1 | ✓ | all | 0 | ? |
| 3.12.178246 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.178260 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.178280 | 3 | 12 | 208 | 1 | ✓ | all | 0 | ? |
| 3.12.178282 | 3 | 12 | 210 | 1 | ✓ | all but 2,3,17 | 0 | ? |
| 3.12.178285 | 3 | 12 | 210 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.178286 | 3 | 12 | 210 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.178289 | 3 | 12 | 210 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.178290 | 3 | 12 | 210 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.178295 | 3 | 12 | 209 | 1 | ✓ | all but 2,7 | 0 | ? |
| 3.12.178300 | 3 | 12 | 209 | 1 | ✓ | all | 0 | ? |
| 3.12.178316 | 3 | 12 | 210 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.178319 | 3 | 12 | 209 | 1 | ✓ | all but 3,7 | 0 | ? |
| 3.12.178328 | 3 | 12 | 209 | 1 | ✓ | all | 0 | ? |
| 3.12.178333 | 3 | 12 | 208 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.178336 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.178341 | 3 | 12 | 208 | 1 | ✓ | all | 0 | ? |
| 3.12.178350 | 3 | 12 | 210 | 1 | ✓ | all | 0 | ? |
| 3.12.178357 | 3 | 12 | 209 | 1 | ✓ | all | 0 | ? |
| 3.12.178369 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.178385 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.178420 | 3 | 12 | 208 | 1 | ✓ | all | 0 | ? |
| 3.12.178435 | 3 | 12 | 208 | 1 | ✓ | all | 0 | ? |
| 3.12.178436 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.178437 | 3 | 12 | 208 | 1 | ✓ | all | 0 | ? |
| 3.12.178445 | 3 | 12 | 208 | 1 | ✓ | all | 0 | ? |
| 3.12.178446 | 3 | 12 | 207 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.178454 | 3 | 12 | 209 | 2 | ✓ | all but 2,5 | 0 | ? |
| 3.12.178485 | 3 | 12 | 208 | 1 | ✓ | all but 2,5 | 0 | ? |