Oh, after posting, i see my tabulated array of sections in a township appears just as a long line of text. Here is how the sections in a township are numbered:
Top or northerly row: 6 5 4 3 2 1
second row 7 8 9 10 11 12
third row 18 17 16 15 14 13
fourth row 19 20 21 22 23 24
fifth row 30 29 28 27 26 25
sixth row 31 32 33 34 35 36
So, again, Section 31 is in the southwest corner of every standard township.