14.5 $(2, 3, 7; 7) \vert E$

Table 20: Orderings for $(2, 3, 7; 7) \vert E$

Ordering	Precedence on $\Sigma$
kbo-A	(a 1) $>$ (b 1) $>$ (A 6) $>$ (B 1)
kbo-B	(a 1) $>$ (b 1) $>$ (A 1) $>$ (B 6)
kbo-a	(a 6) $>$ (b 1) $>$ (A 1) $>$ (B 1)
kbo-b	(a 1) $>$ (b 6) $>$ (A 1) $>$ (B 1)
ll-BbAa	B $>$ b $>$ A $>$ a
syl-l-abAB	a $>$ b $>$ A $>$ B
syl-r-abAB	a $>$ b $>$ A $>$ B

Table 21: Maximal/Total number of cosets defined - $(2, 3, 7; 7) \vert E$

Ordering	NONE	P-ALL	P-G	P-R	I-ALL	I-R	I-R-P
kbo-A	1534	2065	2757	1105	1654	1708	2065
kbo-B	1563	1811	1163	1929	1563	1423	1811
kbo-a	1534	2045	2590	1814	1644	1705	2128
kbo-b	1563	1368	2232	2362	1563	1503	1368
ll-BbAa	1534	1561	1518	2613	1725	1710	1561
syl-l-abAB	1485	2027	1514	2549	1485	1394	2032
syl-r-abAB	1476	2034	1641	2456	1476	1750	2035
Ordering	NONE	P-ALL	P-G	P-R	I-ALL	I-R	I-R-P
kbo-A	1602	2336	3307	1566	1775	1758	2338
kbo-B	1608	2003	1619	2152	1610	1500	2004
kbo-a	1602	2358	3191	2428	1728	1823	2457
kbo-b	1608	1449	3354	3219	1614	1562	1450
ll-BbAa	1602	1650	1885	2902	1834	1757	1652
syl-l-abAB	1607	2443	2168	3422	1612	1571	2459
syl-r-abAB	1576	2402	2253	3251	1583	1882	2414