Bsize27.g

BRACES[27]:=[rec(
gadd:=[(1,13,25,5,17,21,9,10,22,2,14,26,6,18,19,7,11,23,3,15,27,4,16,20,8,12,24)],
gmul:=[(1,13,25,5,17,21,9,10,22,2,14,26,6,18,19,7,11,23,3,15,27,4,16,20,8,12,24)],
p:=(2,27,14,8,18,11,19,5,10,26,20,15,7)(3,9,24,23,21,17,13,6,4)(12,25,22,16),
q:=(2,10,11,18,26,17,24,14,5,27,23,16,25,15,6,9,13,7,3,4)(8,19)(20,22,21)),rec(
gadd:=[(1,13,25,5,17,21,9,10,22,2,14,26,6,18,19,7,11,23,3,15,27,4,16,20,8,12,24)],
gmul:=[(1,13,26,5,17,19,9,10,23,2,14,27,6,18,20,7,11,24,3,15,25,4,16,21,8,12,22)],
p:=(2,25,23,19,5,10,27,14,8,18,11,20,15,7)(3,9,22,16,12,26,21,17,13,6,4),
q:=(2,10,11,18,27,24,14,5,25,15,6,9,13,7,3,4)(8,20,23,16,26,17,22,19)),rec(
gadd:=[(1,13,25,5,17,21,9,10,22,2,14,26,6,18,19,7,11,23,3,15,27,4,16,20,8,12,24)],
gmul:=[(1,13,19,4,17,24,7,10,26,2,14,20,5,18,22,8,11,27,3,15,21,6,16,23,9,12,25)],
p:=(2,21,5,10,20,11,23,26,13,6,4,3,9,27,15,17,12,19,14,8,18,22,16,7)(24,25),
q:=(2,10,11,17,19,27,26,25,16,6,9,14,5,21,8,22,24,13,7,3,4)(15,23)),rec(
gadd:=[(1,20,10,3,19,12,2,21,11)(4,23,13,6,22,15,5,24,14)(7,26,16,9,25,18,8,27,17),(1,22,17,3,24,16,2,23,18)(4,25,11,6,27,10,5,26,12)(7,19,14,9,21,13,8,20,15)],
gmul:=[(1,7,4)(2,8,5)(3,9,6)(10,16,13)(11,17,14)(12,18,15)(19,25,22)(20,26,23)(21,27,24),(1,16,22,2,17,23,3,18,24)(4,10,25,5,11,26,6,12,27)(7,13,19,8,14,20,9,15,21)],
p:=(2,21,18,16,11,27,17,8,12,20,15,6,7,3,4)(5,10,19,9,24,25,26,14,13),
q:=(2,10,12,11,13,9,16,20,25,14,27,23,17,6,4,3,7)(5,21,22,18,24,15,8,19)),rec(
gadd:=[(1,7,4)(2,8,5)(3,9,6)(10,16,13)(11,17,14)(12,18,15)(19,25,22)(20,26,23)(21,27,24),(1,14,27,2,15,25,3,13,26)(4,17,21,5,18,19,6,16,20)(7,11,24,8,12,22,9,10,23)],
gmul:=[(1,7,4)(2,8,5)(3,9,6)(10,16,13)(11,17,14)(12,18,15)(19,25,22)(20,26,23)(21,27,24),(1,13,27,2,14,25,3,15,26)(4,16,21,5,17,19,6,18,20)(7,10,24,8,11,22,9,12,23)],
p:=(2,21,17,8,11,27,16,10,19,9,24,25,26,13,5,12,20,14,15,6,7,3,4),
q:=(2,12,10,11,15,8,19,5,21,22,17,6,4,3,7)(9,18,24,14,27,23,16,20,25,13)),rec(
gadd:=[(1,7,4)(2,8,5)(3,9,6)(10,16,13)(11,17,14)(12,18,15)(19,25,22)(20,26,23)(21,27,24),(1,16,22,2,17,23,3,18,24)(4,10,25,5,11,26,6,12,27)(7,13,19,8,14,20,9,15,21)],
gmul:=[(1,20,10,3,19,12,2,21,11)(4,22,14,6,24,13,5,23,15)(7,27,18,9,26,17,8,25,16),(1,26,13,3,25,15,2,27,14)(4,19,17,6,21,16,5,20,18)(7,24,12,9,23,11,8,22,10)],
p:=(2,21,26,27,16,6,7,3,4)(5,10,19,14)(8,12,20,18)(9,23)(11,25,24,13,22,17),
q:=(2,10,12,11,15,25,16,8,19,26,13,18,6,4,3,7)(5,21,14,9,17,20,22,23)(24,27)),rec(
gadd:=[(1,9,5)(2,7,6)(3,8,4)(10,18,14)(11,16,15)(12,17,13)(19,27,23)(20,25,24)(21,26,22),(1,14,27,2,15,25,3,13,26)(4,17,21,5,18,19,6,16,20)(7,11,24,8,12,22,9,10,23)],
gmul:=[(1,7,4)(2,8,5)(3,9,6)(10,17,15)(11,18,13)(12,16,14)(19,27,23)(20,25,24)(21,26,22),(1,17,23,2,18,24,3,16,22)(4,12,25,5,10,26,6,11,27)(7,13,21,8,14,19,9,15,20)],
p:=(2,23,9,25,26,20,15,12,22,14,5,16,6,7,3,4)(8,18)(10,24)(11,21,19)(13,27),
q:=(2,16,8,24,20,27,26,10,18,6,4,3,7)(5,23)(9,14)(11,12,17,22,25,13,15,21)),rec(
gadd:=[(1,11,21,2,12,19,3,10,20)(4,14,24,5,15,22,6,13,23)(7,17,27,8,18,25,9,16,26),(1,17,24,2,18,22,3,16,23)(4,11,27,5,12,25,6,10,26)(7,14,21,8,15,19,9,13,20)],
gmul:=[(1,4,9)(2,5,7)(3,6,8)(10,13,18)(11,14,16)(12,15,17)(19,22,27)(20,23,25)(21,24,26),(1,21,11,3,20,10,2,19,12)(4,24,14,6,23,13,5,22,15)(7,27,17,9,26,16,8,25,18)],
p:=(2,6,12,11,5,7,3,21,24,17,10,14,27,16,8,23,15,20,13,19,9,4),
q:=(2,7)(3,12,19,4)(5,6,21,17,20,25,13,11,8,18,23,26,15,10,27,22,16)),rec(
gadd:=[(1,18,23,2,16,24,3,17,22)(4,12,26,5,10,27,6,11,25)(7,15,20,8,13,21,9,14,19),(1,27,15,3,26,14,2,25,13)(4,21,18,6,20,17,5,19,16)(7,24,12,9,23,11,8,22,10)],
gmul:=[(1,11,20,2,12,21,3,10,19)(4,14,23,5,15,24,6,13,22)(7,17,26,8,18,27,9,16,25),(1,14,27,2,15,25,3,13,26)(4,18,20,5,16,21,6,17,19)(7,10,22,8,11,23,9,12,24)],
p:=(2,8,25,22,27,13,19,6,12,11,7,3,21,26,23,17,10,16,5,4)(14,24)(15,20,18),
q:=(2,4,3,12,19,9,6,21,14,16,7)(5,8,15,10,24,26,17,20,22,13,11)(18,25)),rec(
gadd:=[(1,11,21,2,12,19,3,10,20)(4,14,24,5,15,22,6,13,23)(7,17,27,8,18,25,9,16,26),(1,13,25,2,14,26,3,15,27)(4,16,19,5,17,20,6,18,21)(7,10,22,8,11,23,9,12,24)],
gmul:=[(1,6,8)(2,4,9)(3,5,7)(10,15,17)(11,13,18)(12,14,16)(19,24,26)(20,22,27)(21,23,25),(1,16,19,2,17,20,3,18,21)(4,10,22,5,11,23,6,12,24)(7,13,25,8,14,26,9,15,27)],
p:=(2,27,17,8,12,26,14,13,5,10,25,23,20,15,6,7,3,4)(9,21,18,16,11,24,22,19),
q:=(2,10,12,11,13,9,16,26,23,17,6,4,3,7)(5,27,20,22,18,21,19)(8,25,14,24,15)),rec(
gadd:=[(1,7,4)(2,8,5)(3,9,6)(10,16,13)(11,17,14)(12,18,15)(19,25,22)(20,26,23)(21,27,24),(1,19,11,3,21,10,2,20,12)(4,22,14,6,24,13,5,23,15)(7,25,17,9,27,16,8,26,18)],
gmul:=[(1,13,23,2,14,24,3,15,22)(4,16,26,5,17,27,6,18,25)(7,10,20,8,11,21,9,12,19),(1,16,21,2,17,19,3,18,20)(4,10,24,5,11,22,6,12,23)(7,13,27,8,14,25,9,15,26)],
p:=(2,27,17,11,24,15,14,5,10,25,19,13,20,16,6,7,3,4)(8,12,26,23,9,21,22,18),
q:=(2,10,12,11,14,9,18,6,4,3,7)(5,27,19,22,21,13,16,8,25,17,26,15,24,23)),rec(
gadd:=[(1,15,26,2,13,27,3,14,25)(4,18,20,5,16,21,6,17,19)(7,12,23,8,10,24,9,11,22),(1,18,23,2,16,24,3,17,22)(4,12,26,5,10,27,6,11,25)(7,15,20,8,13,21,9,14,19)],
gmul:=[(1,17,19,2,18,20,3,16,21)(4,11,22,5,12,23,6,10,24)(7,14,25,8,15,26,9,13,27),(1,26,10,3,25,12,2,27,11)(4,20,13,6,19,15,5,21,14)(7,23,16,9,22,18,8,24,17)],
p:=(2,27,14,5,10,25,20,16,6,7,3,4)(8,12,26,22,17,11,24,18)(9,21,23)(13,19),
q:=(2,10,12,11,15,24,20,19,23,5,27,22,21,13,16,8,25,18,6,4,3,7)(9,17,26,14)),rec(
gadd:=[(1,15,26,2,13,27,3,14,25)(4,18,20,5,16,21,6,17,19)(7,12,23,8,10,24,9,11,22),(1,21,12,3,20,11,2,19,10)(4,24,15,6,23,14,5,22,13)(7,27,18,9,26,17,8,25,16)],
gmul:=[(1,7,4)(2,8,5)(3,9,6)(10,16,13)(11,17,14)(12,18,15)(19,25,22)(20,26,23)(21,27,24),(1,10,27)(2,11,25)(3,12,26)(4,14,20)(5,15,21)(6,13,19)(7,18,22)(8,16,23)(9,17,24)],
p:=(2,27,17,8,20,12,21,24,15,6,7,3,4)(5,10,22,16,11,26,23,9,25,19,18,14,13),
q:=(2,10,13,9,12,18,24,23,5,27,19,21,14,22,20,25,17,6,4,3,7)(8,16,26,15)),rec(
gadd:=[(1,13,25,2,14,26,3,15,27)(4,16,19,5,17,20,6,18,21)(7,10,22,8,11,23,9,12,24),(1,24,18,3,23,17,2,22,16)(4,27,12,6,26,11,5,25,10)(7,21,15,9,20,14,8,19,13)],
gmul:=[(1,6,8)(2,4,9)(3,5,7)(10,13,16)(11,14,17)(12,15,18)(19,23,27)(20,24,25)(21,22,26),(1,7,4)(2,8,5)(3,9,6)(10,18,14)(11,16,15)(12,17,13)(19,26,24)(20,27,22)(21,25,23),
(1,20,18)(2,21,16)(3,19,17)(4,22,10)(5,23,11)(6,24,12)(7,27,14)(8,25,15)(9,26,13)],
p:=(2,27,17,18,12,5,10,22,23,24,15,11,26,16,8,20,21,19,9,25,13,14,6,7,3,4),
q:=(2,10,14,8,18,25,23,15,26,19,5,27,21,16,6,4,3,7)(9,12)(13,22)(17,20)),rec(
gadd:=[(1,8,6)(2,9,4)(3,7,5)(10,17,15)(11,18,13)(12,16,14)(19,26,24)(20,27,22)(21,25,23),(1,27,15,3,26,14,2,25,13)(4,21,18,6,20,17,5,19,16)(7,24,12,9,23,11,8,22,10)],
gmul:=[(1,10,27)(2,11,25)(3,12,26)(4,14,20)(5,15,21)(6,13,19)(7,18,22)(8,16,23)(9,17,24),(1,13,24)(2,14,22)(3,15,23)(4,17,26)(5,18,27)(6,16,25)(7,12,19)(8,10,20)(9,11,21)],
p:=(2,27,24,13,5,10,22,17,8,20,12,19,18,14,15,6,7,3,4)(9,25,21,23)(11,26,16),
q:=(2,10,15,8,17,6,4,3,7)(5,27,13,9,12,18,23)(14,22,20,25,16,26,21)),rec(
gadd:=[(1,12,20,2,10,21,3,11,19)(4,15,23,5,13,24,6,14,22)(7,18,26,8,16,27,9,17,25),(1,17,24,2,18,22,3,16,23)(4,11,27,5,12,25,6,10,26)(7,14,21,8,15,19,9,13,20)],
gmul:=[(1,6,8)(2,4,9)(3,5,7)(10,15,17)(11,13,18)(12,14,16)(19,24,26)(20,22,27)(21,23,25),(1,20,16,2,21,17,3,19,18)(4,24,12,5,22,10,6,23,11)(7,25,14,8,26,15,9,27,13)],
p:=(2,27,14,5,10,25,20,12,26,22,16,6,7,3,4)(8,11,23,9,19,17)(13,21,24,18,15),
q:=(2,10,12,11,13,17,6,4,3,7)(5,27,22,19,21,15,23)(8,26,14,9,16)(18,24,20,25)),rec(
gadd:=[(1,15,26,2,13,27,3,14,25)(4,18,20,5,16,21,6,17,19)(7,12,23,8,10,24,9,11,22),(1,23,16,3,22,18,2,24,17)(4,26,10,6,25,12,5,27,11)(7,20,13,9,19,15,8,21,14)],
gmul:=[(1,11,25,3,10,27,2,12,26)(4,13,20,6,15,19,5,14,21)(7,18,24,9,17,23,8,16,22),(1,15,24,3,14,23,2,13,22)(4,17,25,6,16,27,5,18,26)(7,10,20,9,12,19,8,11,21)],
p:=(2,27,16,6,7,3,4)(5,10,25,21,22,18,15,14)(8,11,23,9,19,17)(12,26,24,13,20),
q:=(2,10,12,11,14,9,18,22,19,20,25,16,8,26,13,17,6,4,3,7)(5,27,21,15,23)),rec(
gadd:=[(1,12,20,2,10,21,3,11,19)(4,15,23,5,13,24,6,14,22)(7,18,26,8,16,27,9,17,25),(1,22,17,3,24,16,2,23,18)(4,25,11,6,27,10,5,26,12)(7,19,14,9,21,13,8,20,15)],
gmul:=[(1,10,26,3,12,25,2,11,27)(4,15,21,6,14,20,5,13,19)(7,17,22,9,16,24,8,18,23),(1,13,24,3,15,23,2,14,22)(4,18,25,6,17,27,5,16,26)(7,11,20,9,10,19,8,12,21)],
p:=(2,27,16,8,11,23,21,18,12,26,14,15,6,7,3,4)(5,10,25,22,20,13)(9,19),
q:=(2,10,12,11,15,8,26,24,14,23,18,25,13,9,17,19,5,27,20,22,16,6,4,3,7)),rec(
gadd:=[(1,9,5)(2,7,6)(3,8,4)(10,18,14)(11,16,15)(12,17,13)(19,27,23)(20,25,24)(21,26,22),(1,26,13,3,25,15,2,27,14)(4,20,16,6,19,18,5,21,17)(7,23,10,9,22,12,8,24,11)],
gmul:=[(1,8,6)(2,9,4)(3,7,5)(10,17,15)(11,18,13)(12,16,14)(19,26,24)(20,27,22)(21,25,23),(1,25,15,3,27,14,2,26,13)(4,21,16,6,20,18,5,19,17)(7,23,11,9,22,10,8,24,12)],
p:=(2,21,27,15,13,24,17,11,25,22,16,6,7,3,4)(5,10,19,14)(8,12,20,18)(9,23),
q:=(2,10,12,11,13,18,6,4,3,7)(5,21,14,9,16,8,19,27,26,15,25,17,20,24,22,23)),rec(
gadd:=[(1,24,18,3,23,17,2,22,16)(4,27,12,6,26,11,5,25,10)(7,21,15,9,20,14,8,19,13),(1,27,15,3,26,14,2,25,13)(4,21,18,6,20,17,5,19,16)(7,24,12,9,23,11,8,22,10)],
gmul:=[(1,24,16,3,23,18,2,22,17)(4,26,11,6,25,10,5,27,12)(7,19,15,9,21,14,8,20,13),(1,25,13,3,27,15,2,26,14)(4,21,17,6,20,16,5,19,18)(7,23,12,9,22,11,8,24,10)],
p:=(2,21,17,8,12,20,13,5,10,19,9,23,22,24,26,15,6,7,3,4)(11,25,27,16),
q:=(2,10,12,11,14,25,15,8,19,5,21,24,13,9,18,23,16,20,26,27,22,17,6,4,3,7)),rec(
gadd:=[(1,13,25,2,14,26,3,15,27)(4,16,19,5,17,20,6,18,21)(7,10,22,8,11,23,9,12,24),(1,18,23,2,16,24,3,17,22)(4,12,26,5,10,27,6,11,25)(7,15,20,8,13,21,9,14,19)],
gmul:=[(1,22,16,3,24,18,2,23,17)(4,25,10,6,27,12,5,26,11)(7,19,13,9,21,15,8,20,14),(1,26,14,3,25,13,2,27,15)(4,20,17,6,19,16,5,21,18)(7,23,11,9,22,10,8,24,12)],
p:=(2,21,25,22,18,8,12,20,16,6,7,3,4)(5,10,19,13,23,9,24,15,14)(11,27,17),
q:=(2,10,12,11,14,9,18,6,4,3,7)(5,21,13,16,8,19,25,17,20,23)(15,27,22,24,26)),rec(
gadd:=[(1,4,7)(2,5,8)(3,6,9)(10,13,16)(11,14,17)(12,15,18)(19,22,25)(20,23,26)(21,24,27),(1,13,25,2,14,26,3,15,27)(4,16,19,5,17,20,6,18,21)(7,10,22,8,11,23,9,12,24)],
gmul:=[(1,11,21,2,12,19,3,10,20)(4,14,24,5,15,22,6,13,23)(7,17,27,8,18,25,9,16,26),(1,25,13,3,27,15,2,26,14)(4,20,18,6,19,17,5,21,16)(7,24,11,9,23,10,8,22,12)],
p:=(2,6,10,15,20,14,27,17,11,5,7,3,21,24,18,16,8,23,13,19,9,4),
q:=(2,7)(3,10,27,22,17,20,25,14,15,11,8,16,5,6,21,18,23,26,13,12,19,4)),rec(
gadd:=[(1,19,11,3,21,10,2,20,12)(4,22,14,6,24,13,5,23,15)(7,25,17,9,27,16,8,26,18),(1,25,14,3,27,13,2,26,15)(4,19,17,6,21,16,5,20,18)(7,22,11,9,24,10,8,23,12)],
gmul:=[(1,10,21,2,11,19,3,12,20)(4,13,24,5,14,22,6,15,23)(7,16,27,8,17,25,9,18,26),(1,23,16,3,22,18,2,24,17)(4,25,11,6,27,10,5,26,12)(7,21,15,9,20,14,8,19,13)],
p:=(2,6,12,23,18,10,15,27,16,20,17,8,22,14,19,25,24,26,13,11,5,7,3,21,9,4),
q:=(2,7)(3,12,17,5,6,21,4)(8,18,20,23,22,25,16,10,27,24,13,19,14,11)),rec(
gadd:=[(1,5,9)(2,6,7)(3,4,8)(10,14,18)(11,15,16)(12,13,17)(19,23,27)(20,24,25)(21,22,26),(1,19,11,3,21,10,2,20,12)(4,22,14,6,24,13,5,23,15)(7,25,17,9,27,16,8,26,18)],
gmul:=[(1,5,7)(2,6,8)(3,4,9)(10,13,17)(11,14,18)(12,15,16)(19,24,27)(20,22,25)(21,23,26),(1,17,22,2,18,23,3,16,24)(4,10,26,5,11,27,6,12,25)(7,15,21,8,13,19,9,14,20)],
p:=(2,8,27,13,11,7,3,21,6,12,25,26,18,10,17,5,4)(14,19,22,16,20)(15,24,23),
q:=(2,4,3,12,14,11,5,8,15,17,7)(6,21,9)(10,24,18,20,25,13,19,16)(23,27,26)),rec(
gadd:=[(1,5,9)(2,6,7)(3,4,8)(10,14,18)(11,15,16)(12,13,17)(19,23,27)(20,24,25)(21,22,26),(1,22,17,3,24,16,2,23,18)(4,25,11,6,27,10,5,26,12)(7,19,14,9,21,13,8,20,15)],
gmul:=[(1,18,24,2,16,22,3,17,23)(4,10,26,5,11,27,6,12,25)(7,14,19,8,15,20,9,13,21),(1,26,13,3,25,15,2,27,14)(4,21,18,6,20,17,5,19,16)(7,22,11,9,24,10,8,23,12)],
p:=(2,6,10,13,12,23,16,20,18,11,5,7,3,21,9,4)(8,22,15,27,17)(14,19,25,24,26),
q:=(2,7)(3,10,27,24,14,12,18,20,23,22,25,17,5,6,21,4)(8,16,11)(13,19,15)),rec(
gadd:=[(1,7,4)(2,8,5)(3,9,6)(10,16,13)(11,17,14)(12,18,15)(19,25,22)(20,26,23)(21,27,24),(1,20,12)(2,21,10)(3,19,11)(4,23,15)(5,24,13)(6,22,14)(7,26,18)(8,27,16)(9,25,17),
(1,22,16)(2,23,17)(3,24,18)(4,25,10)(5,26,11)(6,27,12)(7,19,13)(8,20,14)(9,21,15)],
gmul:=[(1,3,2)(4,6,5)(7,9,8)(10,12,11)(13,15,14)(16,18,17)(19,21,20)(22,24,23)(25,27,26),(1,9,5)(2,7,6)(3,8,4)(10,18,14)(11,16,15)(12,17,13)(19,27,23)(20,25,24)(21,26,22),
(1,21,11)(2,19,12)(3,20,10)(4,24,14)(5,22,15)(6,23,13)(7,27,17)(8,25,18)(9,26,16)],
p:=(2,3,4,19,16,25,14,13,5)(6,7,10,9,21,15,20,24,23,18,11,12,22,27,17,8),
q:=(3,7,19,22,14,25,27,24,18,21,26,15,12,16,13,9,11,20,17,6,4,10,5)),rec(
gadd:=[(1,17,24)(2,18,22)(3,16,23)(4,11,27)(5,12,25)(6,10,26)(7,14,21)(8,15,19)(9,13,20),(1,18,23)(2,16,24)(3,17,22)(4,12,26)(5,10,27)(6,11,25)(7,15,20)(8,13,21)(9,14,19),
(1,27,14)(2,25,15)(3,26,13)(4,21,17)(5,19,18)(6,20,16)(7,24,11)(8,22,12)(9,23,10)],
gmul:=[(1,2,3)(4,23,15)(5,24,13)(6,22,14)(7,17,27)(8,18,25)(9,16,26)(10,11,12)(19,20,21),(1,25,13)(2,17,23)(3,9,6)(4,19,16)(5,11,26)(7,22,10)(8,14,20)(12,18,15)(21,27,24)],
p:=(2,16,13,18,3,27,20,4,19,17,5,22,26,8,15,9,7,10,11,25,6,14,21)(12,24),
q:=(2,22,15,5,16,25,8,26,6,27,12,17,9,4,10,21,3,14,11,13,23,18)(7,19,24,20)),rec(
gadd:=[(1,11,21)(2,12,19)(3,10,20)(4,14,24)(5,15,22)(6,13,23)(7,17,27)(8,18,25)(9,16,26),(1,19,10)(2,20,11)(3,21,12)(4,22,13)(5,23,14)(6,24,15)(7,25,16)(8,26,17)(9,27,18),
(1,24,17)(2,22,18)(3,23,16)(4,27,11)(5,25,12)(6,26,10)(7,21,14)(8,19,15)(9,20,13)],
gmul:=[(1,13,16)(2,14,17)(3,15,18)(4,7,19)(5,8,20)(6,9,21)(10,22,25)(11,23,26)(12,24,27),(1,17,6)(2,9,13)(3,25,23)(4,20,27)(5,12,7)(8,24,19)(10,26,15)(11,18,22)(14,21,16),
(1,19,10)(2,20,11)(3,21,12)(4,22,13)(5,23,14)(6,24,15)(7,25,16)(8,26,17)(9,27,18)],
p:=(3,8,27,5,21,9,20,18)(4,19,24,25,16,6,15,12,26,14,17,23)(7,10,22,13),
q:=(2,21,14,6,8,23,25,13,22,16,17,27,18,20,5)(3,15,11,12,24,4,10,7,19,26,9)),rec(
gadd:=[(1,15,26)(2,13,27)(3,14,25)(4,18,20)(5,16,21)(6,17,19)(7,12,23)(8,10,24)(9,11,22),(1,17,24)(2,18,22)(3,16,23)(4,11,27)(5,12,25)(6,10,26)(7,14,21)(8,15,19)(9,13,20),
(1,18,23)(2,16,24)(3,17,22)(4,12,26)(5,10,27)(6,11,25)(7,15,20)(8,13,21)(9,14,19)],
gmul:=[(1,2,12)(3,19,20)(4,5,15)(6,22,23)(7,8,18)(9,25,26)(10,11,21)(13,14,24)(16,17,27),(1,3,11)(2,19,21)(4,6,14)(5,22,24)(7,9,17)(8,25,27)(10,12,20)(13,15,23)(16,18,26),
(1,22,16)(2,23,17)(3,24,18)(4,25,10)(5,26,11)(6,27,12)(7,19,13)(8,20,14)(9,21,15)],
p:=(2,24,11,6,7,10,21,9,15,17,23,3,4,19,16,25)(5,26,14,13,20,18,8,27)(12,22),
q:=(2,26,9,8,23,11,17,27,18,15,6,4,10,20,5,24,3,7,19,22)(12,16,13,21,14,25)),rec(
gadd:=[(1,12,20)(2,10,21)(3,11,19)(4,15,23)(5,13,24)(6,14,22)(7,18,26)(8,16,27)(9,17,25),(1,18,23)(2,16,24)(3,17,22)(4,12,26)(5,10,27)(6,11,25)(7,15,20)(8,13,21)(9,14,19),
(1,27,14)(2,25,15)(3,26,13)(4,21,17)(5,19,18)(6,20,16)(7,24,11)(8,22,12)(9,23,10)],
gmul:=[(1,10,19)(2,11,20)(3,12,21)(4,13,22)(5,14,23)(6,15,24)(7,16,25)(8,17,26)(9,18,27),(1,13,25)(2,23,17)(3,6,9)(4,16,19)(5,26,11)(7,10,22)(8,20,14)(12,15,18)(21,24,27),
(1,21,11)(2,19,12)(3,20,10)(4,15,23)(5,13,24)(6,14,22)(7,9,8)(16,18,17)(25,27,26)],
p:=(2,16,6,15,13)(3,8,5,22,21,14,17,27,9,7,10)(4,19,24,20,23,12,26,18)(11,25),
q:=(2,22,11,13,3,15,25,21,18,7,19,26,14,6,8,27,23,20,9,4,10)(5,16,17)(12,24)),rec(
gadd:=[(1,11,21)(2,12,19)(3,10,20)(4,14,24)(5,15,22)(6,13,23)(7,17,27)(8,18,25)(9,16,26),(1,14,27)(2,15,25)(3,13,26)(4,17,21)(5,18,19)(6,16,20)(7,11,24)(8,12,22)(9,10,23),
(1,19,10)(2,20,11)(3,21,12)(4,22,13)(5,23,14)(6,24,15)(7,25,16)(8,26,17)(9,27,18)],
gmul:=[(1,8,15)(2,27,22)(3,16,5)(4,11,9)(6,19,26)(7,23,21)(10,17,24)(12,25,14)(13,20,18),(1,23,9)(2,15,16)(3,4,26)(5,18,10)(6,7,20)(8,12,13)(11,24,25)(14,27,19)(17,21,22)],
p:=(2,5,27,7,10,25,12,3,8,21,16,18,4,19,20,9,23,24,13,26,11,14,22)(6,15,17),
q:=(2,27,13,24,7,19,3,15,6,8)(4,10,22,21)(11,18,16,14,25)(12,20,23,26)),rec(
gadd:=[(1,3,2)(4,6,5)(7,9,8)(10,12,11)(13,15,14)(16,18,17)(19,21,20)(22,24,23)(25,27,26),(1,9,5)(2,7,6)(3,8,4)(10,18,14)(11,16,15)(12,17,13)(19,27,23)(20,25,24)(21,26,22),
(1,15,26)(2,13,27)(3,14,25)(4,18,20)(5,16,21)(6,17,19)(7,12,23)(8,10,24)(9,11,22)],
gmul:=[(1,17,6)(2,9,13)(3,25,23)(4,20,27)(5,12,7)(8,24,19)(10,26,15)(11,18,22)(14,21,16),(1,25,13)(2,8,5)(3,18,24)(4,19,16)(6,12,27)(7,22,10)(9,15,21)(11,17,14)(20,26,23)],
p:=(2,13,26,27,3,8)(4,19,21,18,5,25,11,22,12,20,7,10,9)(6,15,17)(23,24),
q:=(2,25,3,15,6,8,12,21,5,13,24,27,11,16,22)(4,10,14,9,7,19,20)(23,26)),rec(
gadd:=[(1,5,9)(2,6,7)(3,4,8)(10,14,18)(11,15,16)(12,13,17)(19,23,27)(20,24,25)(21,22,26),(1,6,8)(2,4,9)(3,5,7)(10,15,17)(11,13,18)(12,14,16)(19,24,26)(20,22,27)(21,23,25),
(1,13,25)(2,14,26)(3,15,27)(4,16,19)(5,17,20)(6,18,21)(7,10,22)(8,11,23)(9,12,24)],
gmul:=[(1,4,7)(2,23,17)(3,15,27)(5,26,11)(6,18,21)(8,20,14)(9,12,24)(10,13,16)(19,22,25),(1,23,9)(2,15,16)(3,4,26)(5,18,10)(6,7,20)(8,12,13)(11,24,25)(14,27,19)(17,21,22)],
p:=(2,13,21,14,27,17,20,7,10,5,25,6)(4,19,8,24,9)(11,22,26,23)(12,15),
q:=(2,25,17,12,8,26,9,7,19,15,20,4,10,27,6,3)(5,13,11,16,22,24,23,21,18,14)),rec(
gadd:=[(1,3,2)(4,6,5)(7,9,8)(10,12,11)(13,15,14)(16,18,17)(19,21,20)(22,24,23)(25,27,26),(1,13,25)(2,14,26)(3,15,27)(4,16,19)(5,17,20)(6,18,21)(7,10,22)(8,11,23)(9,12,24),
(1,17,24)(2,18,22)(3,16,23)(4,11,27)(5,12,25)(6,10,26)(7,14,21)(8,15,19)(9,13,20)],
gmul:=[(1,15,13,19,6,4,10,24,22)(2,21,27,20,12,18,11,3,9)(5,25,8,23,16,26,14,7,17),(1,17,20,10,26,2,19,8,11)(3,6,14,12,15,23,21,24,5)(4,25,27,13,7,9,22,16,18)],
p:=(2,17)(3,9,22,15,16,18,23,14,27,25,4,19,7,10,8,20,24,6,5,11)(12,26,21),
q:=(2,11,16,23,27,21,7,19,12)(3,5,17,26,25,6,9,15)(4,10,20,13,24)),rec(
gadd:=[(1,6,8)(2,4,9)(3,5,7)(10,15,17)(11,13,18)(12,14,16)(19,24,26)(20,22,27)(21,23,25),(1,10,19)(2,11,20)(3,12,21)(4,13,22)(5,14,23)(6,15,24)(7,16,25)(8,17,26)(9,18,27),
(1,23,18)(2,24,16)(3,22,17)(4,26,12)(5,27,10)(6,25,11)(7,20,15)(8,21,13)(9,19,14)],
gmul:=[(1,3,15,10,12,24,19,21,6)(2,27,17,11,9,26,20,18,8)(4,25,5,13,7,14,22,16,23),(1,16,26,19,7,17,10,25,8)(2,3,23,20,21,14,11,12,5)(4,18,6,22,9,24,13,27,15)],
p:=(2,11,7,10)(3,23,6,18,22,15,5,13,14,17,12,20,8,4,19,27,21)(9,24,25,16),
q:=(2,13,27,15,9,12,4,10,22,21,6,23,3,18)(5,11,17,24,26,25,8,20,16)(7,19,14)),rec(
gadd:=[(1,11,21)(2,12,19)(3,10,20)(4,14,24)(5,15,22)(6,13,23)(7,17,27)(8,18,25)(9,16,26),(1,17,24)(2,18,22)(3,16,23)(4,11,27)(5,12,25)(6,10,26)(7,14,21)(8,15,19)(9,13,20),
(1,18,23)(2,16,24)(3,17,22)(4,12,26)(5,10,27)(6,11,25)(7,15,20)(8,13,21)(9,14,19)],
gmul:=[(1,3,11)(2,19,21)(4,15,5)(6,23,22)(7,27,26)(8,16,9)(10,12,20)(13,24,14)(17,25,18),(1,17,7)(2,5,12)(3,20,23)(4,24,27)(6,9,13)(8,25,19)(10,26,16)(11,14,21)(15,18,22)],
p:=(2,23,16,14,13,4,9,19,25,22,20,10)(3,8,26,24,12,21,7,5,18,17,11,27,6,15),
q:=(2,18,7,9,10,13,16,27,12,25,24,6,8,20,19,21,17,3,15,11,14)(4,5,23)(22,26)),rec(
gadd:=[(1,6,8)(2,4,9)(3,5,7)(10,15,17)(11,13,18)(12,14,16)(19,24,26)(20,22,27)(21,23,25),(1,16,22)(2,17,23)(3,18,24)(4,10,25)(5,11,26)(6,12,27)(7,13,19)(8,14,20)(9,15,21),
(1,24,17)(2,22,18)(3,23,16)(4,27,11)(5,25,12)(6,26,10)(7,21,14)(8,19,15)(9,20,13)],
gmul:=[(1,17,11,10,26,20,19,8,2)(3,24,14,12,6,23,21,15,5)(4,16,27,13,25,9,22,7,18),(1,25,12,19,16,3,10,7,21)(2,4,23,20,22,14,11,13,5)(6,17,18,24,8,9,15,26,27)],
p:=(2,3,23,27)(4,19,11,26,17,7,10,21,8,25,22,6,18,9,13)(5,16)(15,20),
q:=(2,16,9,6,23,14,27,17,12,7,19,8,21,11,20,4,10,25,24,22,13,15,26)(3,18,5))];