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49 matroids

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
4.7.04735?✓all6rational
4.7.14734?✓all5rational
4.7.24733?✓all4rational
4.7.34733?✓all4rational
4.7.44732?✓all3rational
4.7.54732?✓all3rational
4.7.64731?✓all2rational
4.7.74731?✓all2rational
4.7.84732?✓all3rational
4.7.94731?✓all2rational
4.7.104730?✓all1rational
4.7.114730?✓all1rational
4.7.124729?✓all but 20rational
4.7.134728?✓{2}-1empty
4.7.144731?✓all4rational
4.7.154730?✓all3rational
4.7.164730?✓all3rational
4.7.174729?✓all2rational
4.7.184728?✓all1rational
4.7.194727?✓all2rational
4.7.234730?✓all4rational
4.7.244729?✓all3rational
4.7.254728?✓all2rational
4.7.264726?✓all2rational
4.7.284728?✓all3rational
4.7.294727?✓all2rational
4.7.304727?✓all2rational
4.7.314726?✓all1rational
4.7.324724?✓all1rational
4.7.334725?✓all2rational
4.7.344724?✓all1rational
4.7.354726?✓all2rational
4.7.364725?✓all1rational
4.7.374724?✓all0rational
4.7.384723?✓all1rational
4.7.394721?✓all0rational
4.7.404720?✓all0rational
4.7.524722?✓all2rational
4.7.534721?✓all1rational
4.7.544718?✓all1rational
4.7.704720?✓all4rational
4.7.714719?✓all3rational
4.7.724718?✓all2rational
4.7.734718?✓all2rational
4.7.744717?✓all1rational
4.7.754716?✓all0rational
4.7.794716?✓all2rational
4.7.804715?✓all1rational
4.7.954710?✓all2rational