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5,700,971 matroids, showing 7,551–7,600
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.11.90305 | 3 | 11 | 151 | 1 | ✓ | all | 1 | empty |
| 3.11.90307 | 3 | 11 | 151 | 1 | ✓ | all | 1 | rational |
| 3.11.90308 | 3 | 11 | 150 | 1 | ✓ | all | 1 | genus 1 curve (14a4) |
| 3.11.90309 | 3 | 11 | 150 | 1 | ✓ | all | 1 | empty |
| 3.11.90316 | 3 | 11 | 149 | 1 | ✓ | all | 1 | rational |
| 3.11.90317 | 3 | 11 | 152 | 1 | ✓ | all | 1 | rational |
| 3.11.90318 | 3 | 11 | 151 | 1 | ✓ | all | 1 | rational |
| 3.11.90320 | 3 | 11 | 151 | 1 | ✓ | all | 1 | rational |
| 3.11.90321 | 3 | 11 | 151 | 1 | ✓ | all | 1 | rational |
| 3.11.90322 | 3 | 11 | 150 | 1 | ✓ | all | 1 | rational |
| 3.11.90353 | 3 | 11 | 153 | 1 | ✓ | all | 1 | rational |
| 3.11.90354 | 3 | 11 | 153 | 1 | ✓ | all | 1 | rational |
| 3.11.90355 | 3 | 11 | 152 | 1 | ✓ | all | 1 | rational |
| 3.11.90362 | 3 | 11 | 152 | 1 | ✓ | all | 1 | rational |
| 3.11.90363 | 3 | 11 | 152 | 1 | ✓ | all | 1 | rational |
| 3.11.90365 | 3 | 11 | 152 | 1 | ✓ | all | 1 | rational |
| 3.11.90366 | 3 | 11 | 153 | 1 | ✓ | all | 1 | rational |
| 3.11.90373 | 3 | 11 | 152 | 1 | ✓ | all | 1 | rational |
| 3.11.90378 | 3 | 11 | 152 | 1 | ✓ | all but 2 | 1 | rational |
| 3.11.90407 | 3 | 11 | 151 | 1 | ✓ | all | 1 | rational |
| 3.11.90409 | 3 | 11 | 151 | 1 | ✓ | all | 1 | rational |
| 3.11.90415 | 3 | 11 | 152 | 1 | ✓ | all | 1 | rational |
| 3.11.90418 | 3 | 11 | 152 | 1 | ✓ | all | 1 | rational |
| 3.11.90461 | 3 | 11 | 151 | 1 | ✓ | all | 1 | rational |
| 3.11.90463 | 3 | 11 | 151 | 1 | ✓ | all | 1 | rational |
| 3.11.90464 | 3 | 11 | 151 | 1 | ✓ | all | 1 | rational |
| 3.11.90472 | 3 | 11 | 151 | 1 | ✓ | all but 2 | 1 | rational |
| 3.11.90475 | 3 | 11 | 150 | 1 | ✓ | all | 1 | rational |
| 3.11.90486 | 3 | 11 | 151 | 1 | ✓ | all | 1 | empty |
| 3.11.90487 | 3 | 11 | 150 | 1 | ✓ | all | 1 | empty |
| 3.11.90488 | 3 | 11 | 150 | 1 | ✓ | all | 1 | empty |
| 3.11.90491 | 3 | 11 | 150 | 1 | ✓ | all | 1 | rational |
| 3.11.90493 | 3 | 11 | 150 | 1 | ✓ | all | 1 | rational |
| 3.11.90494 | 3 | 11 | 151 | 1 | ✓ | all | 1 | rational |
| 3.11.90495 | 3 | 11 | 150 | 1 | ✓ | all | 1 | rational over Q(a)/(a^3 - a^2 + 1) |
| 3.11.90497 | 3 | 11 | 150 | 1 | ✓ | all | 1 | rational |
| 3.11.90498 | 3 | 11 | 152 | 1 | ✓ | all | 1 | rational |
| 3.11.90499 | 3 | 11 | 151 | 1 | ✓ | all | 1 | rational |
| 3.11.90502 | 3 | 11 | 151 | 1 | ✓ | all | 1 | rational |
| 3.11.90503 | 3 | 11 | 151 | 1 | ✓ | all | 1 | rational |
| 3.11.90505 | 3 | 11 | 150 | 1 | ✓ | all | 1 | rational over Q(a)/(a^3 - a^2 + 1) |
| 3.11.90508 | 3 | 11 | 150 | 1 | ✓ | all | 1 | rational over Q(a)/(a^2 + 1) |
| 3.11.90509 | 3 | 11 | 151 | 1 | ✓ | all | 1 | rational |
| 3.11.90638 | 3 | 11 | 152 | 1 | ✓ | all | 1 | rational |
| 3.11.90639 | 3 | 11 | 152 | 1 | ✓ | all | 1 | rational |
| 3.11.90640 | 3 | 11 | 152 | 1 | ✓ | all | 1 | rational |
| 3.11.90642 | 3 | 11 | 153 | 1 | ✓ | all | 1 | rational |
| 3.11.90643 | 3 | 11 | 152 | 1 | ✓ | all | 1 | rational |
| 3.11.90644 | 3 | 11 | 152 | 1 | ✓ | all | 1 | rational |
| 3.11.90655 | 3 | 11 | 153 | 1 | ✓ | all | 1 | rational |