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148 matroids, showing 1–50
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.8.22 | 3 | 8 | 48 | 48 | ✓ | all | 0 | point over Q(a)/(a^2 - a + 1) |
| 3.8.60 | 3 | 8 | 46 | 8 | ✓ | all | 3 | rational |
| 3.8.65 | 3 | 8 | 45 | 12 | ✓ | all | 1 | rational |
| 3.8.88 | 3 | 8 | 42 | 24 | ✗ | all | 3 | rational |
| 3.8.90 | 3 | 8 | 43 | 4 | ✗ | all | 3 | rational |
| 3.8.95 | 3 | 8 | 41 | 12 | ✗ | all | 2 | rational |
| 3.8.96 | 3 | 8 | 42 | 16 | ✗ | all | 1 | rational |
| 3.8.98 | 3 | 8 | 41 | 4 | ✗ | all | 0 | rational |
| 3.8.104 | 3 | 8 | 40 | 32 | ✗ | all | 2 | rational |
| 3.8.107 | 3 | 8 | 39 | 8 | ✗ | all | 2 | rational |
| 3.8.108 | 3 | 8 | 38 | 8 | ✗ | all | 2 | rational |
| 3.8.109 | 3 | 8 | 36 | 32 | ✗ | all | 0 | rational |
| 3.8.111 | 3 | 8 | 36 | 32 | ✗ | all | 0 | rational |
| 3.8.112 | 3 | 8 | 32 | 384 | ✗ | all | 2 | rational |
| 3.8.121 | 3 | 8 | 30 | 12 | ✗ | all | 0 | rational |
| 3.8.124 | 3 | 8 | 29 | 24 | ✗ | all | 2 | rational |
| 3.8.147 | 3 | 8 | 40 | 12 | ✗ | all | 0 | rational |
| 3.8.148 | 3 | 8 | 39 | 24 | ✗ | all | 0 | rational |
| 3.8.151 | 3 | 8 | 39 | 4 | ✗ | all | 0 | rational |
| 3.8.152 | 3 | 8 | 36 | 144 | ✗ | all | 0 | rational |
| 3.8.154 | 3 | 8 | 35 | 8 | ✗ | all | 4 | rational |
| 3.8.156 | 3 | 8 | 39 | 48 | ✗ | all | 2 | rational |
| 3.8.158 | 3 | 8 | 36 | 48 | ✗ | all | 2 | rational |
| 3.8.160 | 3 | 8 | 37 | 4 | ✗ | all | 3 | rational |
| 3.8.161 | 3 | 8 | 36 | 8 | ✗ | all | 0 | rational |
| 3.8.162 | 3 | 8 | 35 | 8 | ✗ | all | 2 | rational |
| 3.8.163 | 3 | 8 | 33 | 24 | ✗ | all but 2 | 0 | rational |
| 3.8.164 | 3 | 8 | 34 | 16 | ✗ | all | 0 | rational |
| 3.8.165 | 3 | 8 | 32 | 16 | ✗ | all | 0 | rational |
| 3.8.166 | 3 | 8 | 30 | 16 | ✗ | all but 2 | 0 | rational |
| 3.8.171 | 3 | 8 | 28 | 6 | ✗ | all | 0 | rational |
| 3.8.172 | 3 | 8 | 27 | 72 | ✗ | all | 2 | rational |
| 3.8.175 | 3 | 8 | 36 | 72 | ✗ | all | 2 | rational |
| 3.8.177 | 3 | 8 | 35 | 12 | ✗ | all | 4 | rational |
| 3.8.178 | 3 | 8 | 33 | 36 | ✗ | all | 0 | rational |
| 3.8.180 | 3 | 8 | 33 | 12 | ✗ | all | 1 | rational |
| 3.8.181 | 3 | 8 | 32 | 24 | ✗ | all | 1 | rational |
| 3.8.183 | 3 | 8 | 33 | 72 | ✗ | all | 4 | rational |
| 3.8.184 | 3 | 8 | 32 | 24 | ✗ | all | 3 | rational |
| 3.8.185 | 3 | 8 | 27 | 72 | ✗ | all | 0 | rational |
| 3.8.186 | 3 | 8 | 31 | 24 | ✗ | all | 2 | rational |
| 3.8.187 | 3 | 8 | 29 | 12 | ✗ | all | 2 | rational |
| 3.8.188 | 3 | 8 | 28 | 48 | ✗ | all | 0 | rational |
| 3.8.189 | 3 | 8 | 24 | 48 | ✗ | all | 1 | rational |
| 3.8.191 | 3 | 8 | 27 | 24 | ✗ | all | 2 | rational |
| 3.8.193 | 3 | 8 | 26 | 4 | ✗ | all | 0 | rational |
| 3.8.194 | 3 | 8 | 24 | 12 | ✗ | all | 0 | rational |
| 3.8.196 | 3 | 8 | 25 | 4 | ✗ | all | 0 | rational |
| 3.8.197 | 3 | 8 | 24 | 8 | ✗ | all | 4 | rational |
| 3.8.199 | 3 | 8 | 24 | 48 | ✗ | all | 2 | rational |