User:Lériendil/Square and triangle superparticulars by prime subgroup: Difference between revisions
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== 4-prime subgroups == | == 4-prime subgroups == | ||
Note that the list of triangle-particulars is ''complete'' and the insertion of higher primes will add no new inclusions to them. The lists of square particulars other than the "Higher primes" table are likewise complete. | |||
=== 5-add-one-limit (L5.p) === | === 5-add-one-limit (L5.p) === | ||
| Line 379: | Line 381: | ||
| [[58564/58563]] | | [[58564/58563]] | ||
| {{monzo| 2 -5 4 -1 }} | | {{monzo| 2 -5 4 -1 }} | ||
|} | |||
=== Higher primes === | |||
{| class="wikitable center-1 center-2" | |||
|- | |||
! rowspan="2" | Square-particular | |||
! rowspan="2" | Subgroup | |||
! colspan="2" | Comma | |||
|- | |||
! Ratio | |||
! Smonzo | |||
|- | |||
| S53 | |||
| 2.3.13.53 | |||
| [[2809/2808]] | |||
| {{monzo| -3 -3 -1 2 }} | |||
|- | |||
| S18 | |||
| 2.3.17.19 | |||
| [[324/323]] | |||
| {{monzo| 2 4 -1 -1 }} | |||
|- | |||
| S577 | |||
| 2.3.17.577 | |||
| [[332929/332928]] | |||
| {{monzo| -7 -2 -2 2 }} | |||
|- | |||
| S37 | |||
| 2.3.19.37 | |||
| [[1369/1368]] | |||
| {{monzo| -3 -2 -1 2 }} | |||
|- | |||
| S47 | |||
| 2.3.23.47 | |||
| [[2209/2208]] | |||
| {{monzo| -5 -1 -1 2 }} | |||
|} | |||
{| class="wikitable center-1 center-2 center-5 center-6" | |||
|- | |||
! rowspan="2" | Triangle-particular | |||
! rowspan="2" | Subgroup | |||
! colspan="2" | Comma | |||
! rowspan="2" | Ultraparticular | |||
! rowspan="2" | Subgroup | |||
! colspan="2" | Comma | |||
|- | |||
! Ratio | |||
! Smonzo | |||
! Ratio | |||
! Smonzo | |||
|- | |||
| T17 | |||
| 2.3.17.19 | |||
| [[153/152]] | |||
| {{monzo| -3 2 1 -1 }} | |||
| U17 | |||
| 2.3.17.19 | |||
| [[93347/93312]] | |||
| {{monzo| -7 -6 3 1 }} | |||
|} | |} | ||