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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.
4,238,885 matroids, showing 18,901–18,950
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.12.2930 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2948 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2950 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2954 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2958 | 3 | 12 | 211 | 1 | ✓ | {3} | -1 | ? |
| 3.12.2969 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2970 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2975 | 3 | 12 | 211 | 1 | ✓ | {17} | -1 | ? |
| 3.12.3001 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3003 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3007 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3013 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3018 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3022 | 3 | 12 | 210 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.3047 | 3 | 12 | 213 | 4 | ✓ | ∅ | -1 | ? |
| 3.12.3054 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.3055 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3059 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3064 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3096 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3109 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3110 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3119 | 3 | 12 | 210 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.3123 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3134 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3137 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3140 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3141 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3150 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3151 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3158 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3160 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3161 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3165 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3173 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3176 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3180 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.3183 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3185 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3189 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3192 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3193 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3206 | 3 | 12 | 212 | 2 | ✓ | {2} | -1 | ? |
| 3.12.3214 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3216 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3217 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3220 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3222 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.3225 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.3228 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |