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776 matroids, showing 1–50
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 4.9.77283 | 4 | 9 | 108 | 144 | ✓ | all | 2 | empty |
| 4.9.178339 | 4 | 9 | 100 | 12 | ✓ | all | 4 | empty |
| 4.9.178389 | 4 | 9 | 102 | 4 | ✓ | all | 3 | empty |
| 4.9.178616 | 4 | 9 | 97 | 2 | ✓ | ∅ | -1 | empty |
| 4.9.181171 | 4 | 9 | 99 | 8 | ✓ | ∅ | -1 | empty |
| 4.9.181859 | 4 | 9 | 98 | 16 | ✓ | {3} | -1 | rational |
| 4.9.182475 | 4 | 9 | 93 | 4 | ✓ | all | 6 | rational |
| 4.9.182479 | 4 | 9 | 96 | 16 | ✓ | all | 6 | rational |
| 4.9.182511 | 4 | 9 | 99 | 2 | ✓ | all | 3 | empty |
| 4.9.182546 | 4 | 9 | 97 | 4 | ✓ | all | 2 | empty |
| 4.9.182668 | 4 | 9 | 96 | 8 | ✓ | all | 3 | rational |
| 4.9.182845 | 4 | 9 | 92 | 2 | ✓ | ∅ | -1 | rational |
| 4.9.182865 | 4 | 9 | 90 | 6 | ✓ | all but 2,5 | 1 | rational |
| 4.9.182893 | 4 | 9 | 94 | 2 | ✓ | ∅ | -1 | rational |
| 4.9.182919 | 4 | 9 | 95 | 1 | ✓ | all | 3 | empty |
| 4.9.182926 | 4 | 9 | 94 | 2 | ✓ | all but 2 | 1 | point over Q(a)/(a^2 - a + 1) |
| 4.9.182943 | 4 | 9 | 92 | 2 | ✓ | all | 3 | rational |
| 4.9.182952 | 4 | 9 | 93 | 8 | ✓ | all | 1 | empty |
| 4.9.182956 | 4 | 9 | 87 | 4 | ✓ | all but 2 | 2 | rational |
| 4.9.182958 | 4 | 9 | 90 | 2 | ✓ | all | 4 | rational |
| 4.9.182959 | 4 | 9 | 81 | 72 | ✓ | all | 2 | rational |
| 4.9.183045 | 4 | 9 | 96 | 8 | ✓ | ∅ | -1 | rational |
| 4.9.183153 | 4 | 9 | 90 | 48 | ✓ | all | 2 | rational |
| 4.9.183161 | 4 | 9 | 91 | 24 | ✓ | all | 1 | empty |
| 4.9.183171 | 4 | 9 | 95 | 4 | ✓ | all | 3 | empty |
| 4.9.183176 | 4 | 9 | 92 | 2 | ✓ | all | 5 | rational |
| 4.9.183179 | 4 | 9 | 90 | 4 | ✓ | all | 4 | rational |
| 4.9.184150 | 4 | 9 | 90 | 8 | ✗ | all | 3 | rational |
| 4.9.184385 | 4 | 9 | 87 | 48 | ✗ | ∅ | -1 | rational |
| 4.9.184403 | 4 | 9 | 89 | 12 | ✗ | all | 1 | empty |
| 4.9.184409 | 4 | 9 | 88 | 12 | ✗ | all | 2 | empty |
| 4.9.184684 | 4 | 9 | 86 | 4 | ✗ | all | 3 | point over Q(a)/(a^2 - a + 1) |
| 4.9.184692 | 4 | 9 | 86 | 4 | ✗ | ∅ | -1 | rational |
| 4.9.184697 | 4 | 9 | 85 | 8 | ✗ | ∅ | -1 | rational |
| 4.9.184706 | 4 | 9 | 84 | 8 | ✗ | ∅ | -1 | rational |
| 4.9.184741 | 4 | 9 | 84 | 8 | ✗ | all | 3 | rational |
| 4.9.184742 | 4 | 9 | 80 | 24 | ✗ | all | 2 | rational |
| 4.9.184747 | 4 | 9 | 81 | 8 | ✗ | all | 2 | rational |
| 4.9.184749 | 4 | 9 | 83 | 4 | ✗ | all but 2 | 2 | rational |
| 4.9.184764 | 4 | 9 | 83 | 4 | ✗ | all but 2 | 1 | rational |
| 4.9.184765 | 4 | 9 | 78 | 12 | ✗ | all | 0 | rational |
| 4.9.184767 | 4 | 9 | 81 | 8 | ✗ | ∅ | -1 | rational |
| 4.9.184952 | 4 | 9 | 60 | 32 | ✗ | ∅ | -1 | rational |
| 4.9.185017 | 4 | 9 | 58 | 192 | ✗ | all | 2 | rational |
| 4.9.185028 | 4 | 9 | 59 | 24 | ✗ | all | 3 | empty |
| 4.9.186221 | 4 | 9 | 96 | 36 | ✓ | ∅ | -1 | point over Q(a)/(a^2 - a + 1) |
| 4.9.186230 | 4 | 9 | 90 | 72 | ✓ | all but 2 | 1 | rational |
| 4.9.186282 | 4 | 9 | 93 | 12 | ✓ | all | 2 | empty |
| 4.9.186285 | 4 | 9 | 81 | 1296 | ✓ | ∅ | -1 | rational |
| 4.9.186306 | 4 | 9 | 91 | 4 | ✓ | all but 2 | 0 | rational |