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14.2 $(2, 5, 7; 2) \vert E$


Table 14: Orderings for $(2, 5, 7; 2) \vert E$
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 15: Maximal/Total number of cosets defined - $(2, 5, 7; 2) \vert E$
Ordering NONE P-ALL P-G P-R I-ALL I-R I-R-P
kbo-A 143 171 172 171 149 176 171
kbo-B 163 161 162 165 163 177 165
kbo-a 143 162 163 224 151 157 164
kbo-b 163 237 127 133 163 158 237
ll-BbAa 143 276 276 275 138 176 277
syl-l-abAB 148 164 158 260 148 155 147
syl-r-abAB 148 164 158 247 148 147 163
Ordering NONE P-ALL P-G P-R I-ALL I-R I-R-P
kbo-A 143 177 179 178 152 177 178
kbo-B 163 163 165 167 165 178 168
kbo-a 143 170 172 239 155 165 173
kbo-b 163 246 139 141 165 159 248
ll-BbAa 143 282 287 284 161 177 284
syl-l-abAB 151 175 169 279 152 164 156
syl-r-abAB 151 177 171 272 151 159 172



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