soma:=[ rec( isGraph := true, order := 10, group := Group( [ ( 4, 5)( 7, 9)( 8,10), ( 3, 6)( 7,10)( 8, 9), ( 1, 2)( 3, 4)( 5, 6)( 9,10) ] ), schreierVector := [ -1, 3, -2, 3, 3, 2, -3, 2, 1, 2 ], adjacencies := [ [ 3, 6 ], [ 1, 7, 9 ], [ 3, 4, 8 ] ], representatives := [ 1, 3, 7 ], isSimple := true, autGroup := Group( [ ( 4, 5)( 7, 9)( 8,10), ( 3, 6)( 7,10)( 8, 9), ( 1, 2)( 3, 4)( 5, 6)( 9,10) ] ), names := [ (), (1,2), [ 1, 1 ], [ 1, 2 ], [ 2, 1 ], [ 2, 2 ], [ "row", 1 ], [ "row", 2 ], [ "column", 1 ], [ "column", 2 ] ] ), rec( isGraph := true, order := 18, group := Group( [ ( 5,10)( 6, 7)( 8,12)(13,16)(14,18)(15,17), ( 4, 8)( 6,11)( 9,10)(13,17)(14,16)(15,18), ( 2, 3)( 5, 7)( 6,10)( 9,11)(13,16)(14,17)(15,18), ( 1, 2)( 4, 5, 8, 9,12,10)( 6,11, 7)(13,17,14,18,15,16) ] ), schreierVector := [ -1, 4, 3, -2, 4, 3, 3, 2, 4, 1, 3, 1, -3, 2, 1, 1, 2, 1 ], adjacencies := [ [ 4, 8, 12 ], [ 1, 13, 16 ], [ 4, 5, 6, 14, 15 ] ], representatives := [ 1, 4, 13 ], isSimple := true, autGroup := Group( [ ( 5,10)( 6, 7)( 8,12)(13,16)(14,18)(15,17), ( 4, 8)( 6,11)( 9,10)(13,17)(14,16)(15,18), ( 2, 3)( 5, 7)( 6,10)( 9,11)(13,16)(14,17)(15,18), ( 1, 2)( 4, 5, 8, 9,12,10)( 6,11, 7)(13,17,14,18,15,16) ] ), names := [ (), (1,2,3), (1,3,2), [ 1, 1 ], [ 1, 2 ], [ 1, 3 ], [ 2, 1 ], [ 2, 2 ], [ 2, 3 ], [ 3, 1 ], [ 3, 2 ], [ 3, 3 ], [ "row", 1 ], [ "row", 2 ], [ "row", 3 ], [ "column", 1 ], [ "column", 2 ], [ "column", 3 ] ] ), rec( isGraph := true, order := 21, group := Group( [ ( 2, 3)( 8,10)( 9,13)(12,14)(16,19)(17,20)(18,21), ( 5, 6)( 8,13)( 9,10)(11,15)(16,19)(17,21)(18,20), ( 4, 5)( 7,15)( 8,12)(10,14)(16,21)(17,20)(18,19), ( 1, 2)( 7,12)( 8,15)(11,13)(16,21)(17,19)(18,20), ( 1, 4)( 2, 5)( 3, 6)(10,13)(11,14)(12,15)(17,18) ] ), schreierVector := [ -1, 4, 1, 5, 5, 5, -2, 4, 1, 1, 2, 4, 4, 1, 3, -3, 4, 3, 1, 2, 3 ], adjacencies := [ [ 7, 11, 15 ], [ 1, 4, 16, 19 ], [ 7, 8, 9, 17, 18 ] ], representatives := [ 1, 7, 16 ], isSimple := true, autGroup := Group( [ ( 2, 3)( 8,10)( 9,13)(12,14)(16,19)(17,20)(18,21), ( 5, 6)( 8,13)( 9,10)(11,15)(16,19)(17,21)(18,20), ( 4, 5)( 7,15)( 8,12)(10,14)(16,21)(17,20)(18,19), ( 1, 2)( 7,12)( 8,15)(11,13)(16,21)(17,19)(18,20), ( 1, 4)( 2, 5)( 3, 6)(10,13)(11,14)(12,15)(17,18) ] ), names := [ (), (1,2,3), (1,3,2), (2,3), (1,2), (1,3), [ 1, 1 ], [ 1, 2 ], [ 1, 3 ], [ 2, 1 ], [ 2, 2 ], [ 2, 3 ], [ 3, 1 ], [ 3, 2 ], [ 3, 3 ], [ "row", 1 ], [ "row", 2 ], [ "row", 3 ], [ "column", 1 ], [ "column", 2 ], [ "column", 3 ] ] ), rec( isGraph := true, order := 28, group := Group( [ ( 3, 4)( 6, 9)( 7,13)( 8,17)(11,14)(12,18)(16,19)(21,25) (22,26)(23,27)(24,28), ( 3, 4)( 7, 8)(11,12)(13,17)(14,18)(15,20) (16,19)(23,24)(27,28), ( 1, 2)( 3, 4)( 5, 6)( 7, 8)( 9,10)(11,12) (13,14)(15,16)(17,18)(19,20)(25,26)(27,28), ( 1, 3, 2, 4)( 5, 7, 6, 8)( 9,11,10,12)(13,15,14,16)(17,19,18,20) (25,27,26,28) ] ), schreierVector := [ -1, 3, 4, 4, -2, 3, 4, 4, 1, 3, 4, 4, 1, 3, 4, 4, 1, 3, 4, 2, -3, 1, 1, 1, 1, 3, 4, 4 ], adjacencies := [ [ 5, 10, 15, 20 ], [ 1, 21, 25 ], [ 5, 6, 7, 8, 22, 23, 24 ] ], representatives := [ 1, 5, 21 ], isSimple := true, autGroup := Group( [ ( 3, 4)( 6, 9)( 7,13)( 8,17)(11,14)(12,18)(16,19)(21,25) (22,26)(23,27)(24,28), ( 3, 4)( 7, 8)(11,12)(13,17)(14,18)(15,20) (16,19)(23,24)(27,28), ( 1, 2)( 3, 4)( 5, 6)( 7, 8)( 9,10)(11,12) (13,14)(15,16)(17,18)(19,20)(25,26)(27,28), ( 1, 3, 2, 4)( 5, 7, 6, 8)( 9,11,10,12)(13,15,14,16)(17,19,18,20) (25,27,26,28) ] ), names := [ (), (1,2)(3,4), (1,3,2,4), (1,4,2,3), [ 1, 1 ], [ 1, 2 ], [ 1, 3 ], [ 1, 4 ], [ 2, 1 ], [ 2, 2 ], [ 2, 3 ], [ 2, 4 ], [ 3, 1 ], [ 3, 2 ], [ 3, 3 ], [ 3, 4 ], [ 4, 1 ], [ 4, 2 ], [ 4, 3 ], [ 4, 4 ], [ "row", 1 ], [ "row", 2 ], [ "row", 3 ], [ "row", 4 ], [ "column", 1 ], [ "column", 2 ], [ "column", 3 ], [ "column", 4 ] ] ), rec( isGraph := true, order := 28, group := Group( [ ( 6, 9)( 7,13)( 8,17)(11,14)(12,18)(16,19)(21,25)(22,26) (23,27)(24,28), ( 3, 4)( 7, 8)(11,12)(13,17)(14,18)(15,20)(16,19) (23,24)(27,28), ( 2, 3)( 6, 7)( 9,13)(10,15)(11,14)(12,16)(18,19) (22,23)(26,27), ( 1, 2)( 3, 4)( 5, 6)( 7, 8)( 9,10)(11,12)(13,14) (15,16)(17,18)(19,20)(25,26)(27,28) ] ), schreierVector := [ -1, 4, 3, 2, -2, 4, 3, 2, 1, 4, 1, 1, 3, 4, 3, 4, 2, 4, 3, 2, -3, 1, 3, 2, 1, 4, 3, 2 ], adjacencies := [ [ 5, 10, 15, 20 ], [ 1, 21, 25 ], [ 5, 6, 7, 8, 22, 23, 24 ] ], representatives := [ 1, 5, 21 ], isSimple := true, autGroup := Group( [ ( 6, 9)( 7,13)( 8,17)(11,14)(12,18)(16,19)(21,25)(22,26) (23,27)(24,28), ( 3, 4)( 7, 8)(11,12)(13,17)(14,18)(15,20)(16,19) (23,24)(27,28), ( 2, 3)( 6, 7)( 9,13)(10,15)(11,14)(12,16)(18,19) (22,23)(26,27), ( 1, 2)( 3, 4)( 5, 6)( 7, 8)( 9,10)(11,12)(13,14) (15,16)(17,18)(19,20)(25,26)(27,28) ] ), names := [ (), (1,2)(3,4), (1,3)(2,4), (1,4)(2,3), [ 1, 1 ], [ 1, 2 ], [ 1, 3 ], [ 1, 4 ], [ 2, 1 ], [ 2, 2 ], [ 2, 3 ], [ 2, 4 ], [ 3, 1 ], [ 3, 2 ], [ 3, 3 ], [ 3, 4 ], [ 4, 1 ], [ 4, 2 ], [ 4, 3 ], [ 4, 4 ], [ "row", 1 ], [ "row", 2 ], [ "row", 3 ], [ "row", 4 ], [ "column", 1 ], [ "column", 2 ], [ "column", 3 ], [ "column", 4 ] ] ), rec( isGraph := true, order := 32, group := Group( [ ( 2, 4)( 7, 8)(10,21)(11,17)(12,13)(14,24)(15,20)(18,23) (25,29)(26,32)(27,31)(28,30), ( 3, 4)( 6, 7)(10,13)(11,21)(12,17) (15,22)(16,18)(19,24)(25,29)(26,30)(27,32)(28,31), ( 2, 4)( 5, 6)( 9,19)(10,15)(12,23)(13,18)(16,22)(20,21)(25,31) (26,30)(27,29)(28,32), ( 1, 2)( 3, 4)( 9,20)(10,19)(11,18)(12,17) (13,24)(14,23)(15,22)(16,21)(25,27)(26,28)(29,32)(30,31), ( 1, 5)( 2, 7, 3, 8, 4, 6)(10,13,11,17,12,21)(14,15,19,20,24,22) (16,23,18)(25,29)(26,31,27,32,28,30) ] ), schreierVector := [ -1, 4, 2, 1, 5, 3, 5, 1, -2, 4, 2, 1, 4, 1, 1, 4, 1, 3, 3, 4, 3, 5, 4, 2, -3, 1, 4, 2, 1, 4, 3, 4 ], adjacencies := [ [ 9, 14, 19, 24 ], [ 1, 5, 25, 29 ], [ 9, 10, 11, 12, 26, 27, 28 ] ], representatives := [ 1, 9, 25 ], isSimple := true, autGroup := Group( [ ( 2, 4)( 7, 8)(10,21)(11,17)(12,13)(14,24)(15,20)(18,23) (25,29)(26,32)(27,31)(28,30), ( 3, 4)( 6, 7)(10,13)(11,21)(12,17) (15,22)(16,18)(19,24)(25,29)(26,30)(27,32)(28,31), ( 2, 4)( 5, 6)( 9,19)(10,15)(12,23)(13,18)(16,22)(20,21)(25,31) (26,30)(27,29)(28,32), ( 1, 2)( 3, 4)( 9,20)(10,19)(11,18)(12,17) (13,24)(14,23)(15,22)(16,21)(25,27)(26,28)(29,32)(30,31), ( 1, 5)( 2, 7, 3, 8, 4, 6)(10,13,11,17,12,21)(14,15,19,20,24,22) (16,23,18)(25,29)(26,31,27,32,28,30) ] ), names := [ (), (1,2)(3,4), (1,3)(2,4), (1,4)(2,3), (2,3,4), (1,2,4), (1,3,2), (1,4,3), [ 1, 1 ], [ 1, 2 ], [ 1, 3 ], [ 1, 4 ], [ 2, 1 ], [ 2, 2 ], [ 2, 3 ], [ 2, 4 ], [ 3, 1 ], [ 3, 2 ], [ 3, 3 ], [ 3, 4 ], [ 4, 1 ], [ 4, 2 ], [ 4, 3 ], [ 4, 4 ], [ "row", 1 ], [ "row", 2 ], [ "row", 3 ], [ "row", 4 ], [ "column", 1 ], [ "column", 2 ], [ "column", 3 ], [ "column", 4 ] ] ), rec( isGraph := true, order := 36, group := Group( [ ( 2, 3)( 8,12)(10,11)(14,21)(15,17)(16,25)(18,23)(20,27) (24,26)(29,33)(30,35)(31,34)(32,36), ( 2, 4)( 7,10)( 9,12)(14,25)(15,21)(16,17)(18,28)(19,24)(22,27) (29,33)(30,36)(31,35)(32,34), ( 2, 4, 3)( 5, 6)( 7, 8,10, 9,11,12) (14,25,15,17,16,21)(18,28,23)(19,20,24,22,26,27)(29,33) (30,36,31,34,32,35), ( 5, 7)( 6, 9)( 8,10)(11,12)(13,28)(14,24) (15,20)(17,27)(18,23)(21,26)(29,36)(30,35)(31,34)(32,33), ( 1, 2, 4)( 6,10, 7)( 8, 9,12)(13,24,19)(14,22,18)(15,21,20) (16,23,17)(25,28,27)(29,31,30)(33,36,35), ( 1, 5)( 2,12)( 3, 8)( 4, 9)(14,21)(15,25)(16,17)(18,24)(19,28) (23,26)(29,33)(30,36)(31,34)(32,35) ] ), schreierVector := [ -1, 5, 1, 2, 6, 3, 4, 6, 6, 5, 4, 6, -2, 4, 1, 2, 5, 2, 6, 1, 4, 3, 3, 5, 5, 1, 5, 4, -3, 2, 5, 4, 1, 1, 5, 4 ], adjacencies := [ [ 13, 18, 23, 28 ], [ 1, 5, 6, 29, 33 ], [ 13, 14, 15, 16, 30, 31, 32 ] ], representatives := [ 1, 13, 29 ], isSimple := true, autGroup := Group( [ ( 2, 3)( 8,12)(10,11)(14,21)(15,17)(16,25)(18,23)(20,27) (24,26)(29,33)(30,35)(31,34)(32,36), ( 2, 4)( 7,10)( 9,12)(14,25)(15,21)(16,17)(18,28)(19,24)(22,27) (29,33)(30,36)(31,35)(32,34), ( 2, 4, 3)( 5, 6)( 7, 8,10, 9,11,12) (14,25,15,17,16,21)(18,28,23)(19,20,24,22,26,27)(29,33) (30,36,31,34,32,35), ( 5, 7)( 6, 9)( 8,10)(11,12)(13,28)(14,24) (15,20)(17,27)(18,23)(21,26)(29,36)(30,35)(31,34)(32,33), ( 1, 2, 4)( 6,10, 7)( 8, 9,12)(13,24,19)(14,22,18)(15,21,20) (16,23,17)(25,28,27)(29,31,30)(33,36,35), ( 1, 5)( 2,12)( 3, 8)( 4, 9)(14,21)(15,25)(16,17)(18,24)(19,28) (23,26)(29,33)(30,36)(31,34)(32,35) ] ), names := [ (), (1,2)(3,4), (1,3)(2,4), (1,4)(2,3), (2,3,4), (2,4,3), (1,2,3), (1,2,4), (1,3,2), (1,3,4), (1,4,2), (1,4,3), [ 1, 1 ], [ 1, 2 ], [ 1, 3 ], [ 1, 4 ], [ 2, 1 ], [ 2, 2 ], [ 2, 3 ], [ 2, 4 ], [ 3, 1 ], [ 3, 2 ], [ 3, 3 ], [ 3, 4 ], [ 4, 1 ], [ 4, 2 ], [ 4, 3 ], [ 4, 4 ], [ "row", 1 ], [ "row", 2 ], [ "row", 3 ], [ "row", 4 ], [ "column", 1 ], [ "column", 2 ], [ "column", 3 ], [ "column", 4 ] ] ), rec( isGraph := true, order := 40, group := Group( [ ( 3, 4, 5)( 8, 9,10)(13,14,15)(16,21,26)(17,22,27)(18,24,30) (19,25,28)(20,23,29)(33,34,35)(38,39,40), ( 1, 3, 4)( 6, 8, 9)(11,28,19)(12,27,17)(13,29,16)(14,26,18) (15,30,20)(21,23,24)(32,35,33)(36,38,39), ( 3, 4)( 6,12)( 8,17)( 9,27)(10,22)(13,16)(14,26)(15,21)(19,28) (20,23)(24,30)(31,37)(32,36)(33,38)(34,40)(35,39) ] ), schreierVector := [ -1, -2, 2, 1, 1, -3, -4, 2, 1, 1, -5, 3, -6, 1, 1, 3, 3, 2, 1, 1, 1, 1, 1, 3, 1, 2, 2, 2, 2, 2, -7, -8, 1, 1, 2, 3, 3, 2, 3, 1 ], adjacencies := [ [ 6, 12, 18, 24, 30 ], [ 7, 11, 19, 25, 28 ], [ 1, 31, 36 ], [ 2, 31, 37 ], [ 2, 32, 36 ], [ 5, 32, 38 ], [ 6, 7, 8, 9, 10, 32, 33, 34, 35 ], [ 11, 12, 13, 14, 15, 31, 33, 34, 35 ] ], representatives := [ 1, 2, 6, 7, 11, 13, 31, 32 ], isSimple := true, autGroup := Group( [ ( 3, 4, 5)( 8, 9,10)(13,14,15)(16,21,26)(17,22,27)(18,24,30) (19,25,28)(20,23,29)(33,34,35)(38,39,40), ( 1, 3, 4)( 6, 8, 9)(11,28,19)(12,27,17)(13,29,16)(14,26,18) (15,30,20)(21,23,24)(32,35,33)(36,38,39), ( 3, 4)( 6,12)( 8,17)( 9,27)(10,22)(13,16)(14,26)(15,21)(19,28) (20,23)(24,30)(31,37)(32,36)(33,38)(34,40)(35,39) ] ), names := [ (), (1,2)(3,4,5), (1,3,5,2,4), (1,4,3,2,5), (1,5,4,2,3), [ 1, 1 ], [ 1, 2 ], [ 1, 3 ], [ 1, 4 ], [ 1, 5 ], [ 2, 1 ], [ 2, 2 ], [ 2, 3 ], [ 2, 4 ], [ 2, 5 ], [ 3, 1 ], [ 3, 2 ], [ 3, 3 ], [ 3, 4 ], [ 3, 5 ], [ 4, 1 ], [ 4, 2 ], [ 4, 3 ], [ 4, 4 ], [ 4, 5 ], [ 5, 1 ], [ 5, 2 ], [ 5, 3 ], [ 5, 4 ], [ 5, 5 ], [ "row", 1 ], [ "row", 2 ], [ "row", 3 ], [ "row", 4 ], [ "row", 5 ], [ "column", 1 ], [ "column", 2 ], [ "column", 3 ], [ "column", 4 ], [ "column", 5 ] ] ), rec( isGraph := true, order := 40, group := Group( [ ( 2, 5)( 3, 4)( 7,11)( 8,16)( 9,21)(10,26)(13,17)(14,22) (15,27)(19,23)(20,28)(25,29)(31,36)(32,37)(33,38)(34,39)(35,40), ( 2, 3, 5, 4)( 7, 8,10, 9)(11,16,26,21)(12,18,30,24)(13,20,29,22) (14,17,28,25)(15,19,27,23)(32,33,35,34)(37,38,40,39), ( 1, 2, 3, 4, 5)( 6, 7, 8, 9,10)(11,12,13,14,15)(16,17,18,19,20) (21,22,23,24,25)(26,27,28,29,30)(36,37,38,39,40) ] ), schreierVector := [ -1, 3, 2, 2, 1, -2, 3, 2, 3, 2, 1, 3, 3, 3, 1, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 3, 2, 3, 2, -3, 1, 2, 1, 2, 1, 3, 2, 3, 2 ], adjacencies := [ [ 6, 12, 18, 24, 30 ], [ 1, 31, 36 ], [ 6, 7, 8, 9, 10, 32, 33, 34, 35 ] ], representatives := [ 1, 6, 31 ], isSimple := true, autGroup := Group( [ ( 2, 5)( 3, 4)( 7,11)( 8,16)( 9,21)(10,26)(13,17)(14,22) (15,27)(19,23)(20,28)(25,29)(31,36)(32,37)(33,38)(34,39)(35,40), ( 2, 3, 5, 4)( 7, 8,10, 9)(11,16,26,21)(12,18,30,24)(13,20,29,22) (14,17,28,25)(15,19,27,23)(32,33,35,34)(37,38,40,39), ( 1, 2, 3, 4, 5)( 6, 7, 8, 9,10)(11,12,13,14,15)(16,17,18,19,20) (21,22,23,24,25)(26,27,28,29,30)(36,37,38,39,40) ] ), names := [ (), (1,2,3,4,5), (1,3,5,2,4), (1,4,2,5,3), (1,5,4,3,2), [ 1, 1 ], [ 1, 2 ], [ 1, 3 ], [ 1, 4 ], [ 1, 5 ], [ 2, 1 ], [ 2, 2 ], [ 2, 3 ], [ 2, 4 ], [ 2, 5 ], [ 3, 1 ], [ 3, 2 ], [ 3, 3 ], [ 3, 4 ], [ 3, 5 ], [ 4, 1 ], [ 4, 2 ], [ 4, 3 ], [ 4, 4 ], [ 4, 5 ], [ 5, 1 ], [ 5, 2 ], [ 5, 3 ], [ 5, 4 ], [ 5, 5 ], [ "row", 1 ], [ "row", 2 ], [ "row", 3 ], [ "row", 4 ], [ "row", 5 ], [ "column", 1 ], [ "column", 2 ], [ "column", 3 ], [ "column", 4 ], [ "column", 5 ] ] ), rec( isGraph := true, order := 45, group := Group( [ ( 1, 6)( 2, 9, 3, 7, 5, 8, 4,10)(12,16,13,21,15,31,14,26) (17,18,23,25,35,34,29,27)(19,28,22,20,33,24,30,32)(36,41) (37,43,38,45,40,44,39,42), ( 1, 2, 3, 4, 5)( 6, 7, 8, 9,10) (11,12,13,14,15)(16,17,18,19,20)(21,22,23,24,25)(26,27,28,29,30) (31,32,33,34,35)(41,42,43,44,45) ] ), schreierVector := [ -1, 2, 2, 2, 1, 1, 2, 2, 1, 2, -2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, -3, 1, 1, 1, 1, 1, 2, 2, 2, 1 ], adjacencies := [ [ 11, 17, 23, 29, 35 ], [ 1, 6, 36, 41 ], [ 11, 12, 13, 14, 15, 37, 38, 39, 40 ] ], representatives := [ 1, 11, 36 ], isSimple := true, autGroup := Group( [ ( 1, 6)( 2, 9, 3, 7, 5, 8, 4,10)(12,16,13,21,15,31,14,26) (17,18,23,25,35,34,29,27)(19,28,22,20,33,24,30,32)(36,41) (37,43,38,45,40,44,39,42), ( 1, 2, 3, 4, 5)( 6, 7, 8, 9,10) (11,12,13,14,15)(16,17,18,19,20)(21,22,23,24,25)(26,27,28,29,30) (31,32,33,34,35)(41,42,43,44,45) ] ), names := [ (), (1,2,3,4,5), (1,3,5,2,4), (1,4,2,5,3), (1,5,4,3,2), (2,3,5,4), (1,2,4,3), (1,3,2,5), (1,4,5,2), (1,5,3,4), [ 1, 1 ], [ 1, 2 ], [ 1, 3 ], [ 1, 4 ], [ 1, 5 ], [ 2, 1 ], [ 2, 2 ], [ 2, 3 ], [ 2, 4 ], [ 2, 5 ], [ 3, 1 ], [ 3, 2 ], [ 3, 3 ], [ 3, 4 ], [ 3, 5 ], [ 4, 1 ], [ 4, 2 ], [ 4, 3 ], [ 4, 4 ], [ 4, 5 ], [ 5, 1 ], [ 5, 2 ], [ 5, 3 ], [ 5, 4 ], [ 5, 5 ], [ "row", 1 ], [ "row", 2 ], [ "row", 3 ], [ "row", 4 ], [ "row", 5 ], [ "column", 1 ], [ "column", 2 ], [ "column", 3 ], [ "column", 4 ], [ "column", 5 ] ] ), rec( isGraph := true, order := 45, group := Group( [ ( 2, 5)( 3, 4)(12,16)(13,21)(14,26)(15,31)(18,22)(19,27) (20,32)(24,28)(25,33)(30,34)(36,41)(37,42)(38,43)(39,44)(40,45), ( 1, 6)( 2,10)( 3, 9)( 4, 8)( 5, 7)(12,15)(13,14)(17,20)(18,19) (22,25)(23,24)(27,30)(28,29)(32,35)(33,34)(42,45)(43,44), ( 2, 3, 5, 4)( 7, 8,10, 9)(12,13,15,14)(16,21,31,26)(17,23,35,29) (18,25,34,27)(19,22,33,30)(20,24,32,28)(37,38,40,39)(42,43,45,44), ( 1, 7)( 2, 6)( 3,10)( 4, 9)( 5, 8)(11,12)(13,15)(16,17)(18,20) (21,22)(23,25)(26,27)(28,30)(31,32)(33,35)(41,42)(43,45) ] ), schreierVector := [ -1, 4, 3, 3, 2, 2, 4, 3, 3, 2, -2, 4, 3, 3, 2, 1, 4, 1, 2, 2, 3, 4, 3, 3, 2, 3, 4, 3, 3, 3, 1, 4, 3, 3, 3, -3, 1, 3, 3, 1, 1, 4, 3, 3, 2 ], adjacencies := [ [ 11, 17, 23, 29, 35 ], [ 1, 6, 36, 41 ], [ 11, 12, 13, 14, 15, 37, 38, 39, 40 ] ], representatives := [ 1, 11, 36 ], isSimple := true, autGroup := Group( [ ( 2, 5)( 3, 4)(12,16)(13,21)(14,26)(15,31)(18,22)(19,27) (20,32)(24,28)(25,33)(30,34)(36,41)(37,42)(38,43)(39,44)(40,45), ( 1, 6)( 2,10)( 3, 9)( 4, 8)( 5, 7)(12,15)(13,14)(17,20)(18,19) (22,25)(23,24)(27,30)(28,29)(32,35)(33,34)(42,45)(43,44), ( 2, 3, 5, 4)( 7, 8,10, 9)(12,13,15,14)(16,21,31,26)(17,23,35,29) (18,25,34,27)(19,22,33,30)(20,24,32,28)(37,38,40,39)(42,43,45,44), ( 1, 7)( 2, 6)( 3,10)( 4, 9)( 5, 8)(11,12)(13,15)(16,17)(18,20) (21,22)(23,25)(26,27)(28,30)(31,32)(33,35)(41,42)(43,45) ] ), names := [ (), (1,2,3,4,5), (1,3,5,2,4), (1,4,2,5,3), (1,5,4,3,2), (2,5)(3,4), (1,2)(3,5), (1,3)(4,5), (1,4)(2,3), (1,5)(2,4), [ 1, 1 ], [ 1, 2 ], [ 1, 3 ], [ 1, 4 ], [ 1, 5 ], [ 2, 1 ], [ 2, 2 ], [ 2, 3 ], [ 2, 4 ], [ 2, 5 ], [ 3, 1 ], [ 3, 2 ], [ 3, 3 ], [ 3, 4 ], [ 3, 5 ], [ 4, 1 ], [ 4, 2 ], [ 4, 3 ], [ 4, 4 ], [ 4, 5 ], [ 5, 1 ], [ 5, 2 ], [ 5, 3 ], [ 5, 4 ], [ 5, 5 ], [ "row", 1 ], [ "row", 2 ], [ "row", 3 ], [ "row", 4 ], [ "row", 5 ], [ "column", 1 ], [ "column", 2 ], [ "column", 3 ], [ "column", 4 ], [ "column", 5 ] ] ), rec( isGraph := true, order := 50, group := Group( [ ( 2, 3, 5, 4)( 8,11,14,12)( 9,10,15,13)(17,18,20,19)(21,26,36, 31)(22,28,40,34)(23,30,39,32)(24,27,38,35)(25,29,37,33) (42,43,45,44)(47,48,50,49), ( 2, 4, 5, 3)( 6, 7)( 8,15,14, 9) (10,11,13,12)(17,26,20,31)(18,36,19,21)(22,28,40,34)(23,38,39,24) (25,33,37,29)(27,30,35,32)(41,46)(42,48,45,49)(43,50,44,47), ( 2, 4, 5, 3)( 6, 8,14,12)( 7,10,13, 9)(16,40,22,28)(17,38,21,30) (18,36,25,27)(19,39,24,29)(20,37,23,26)(31,35,32,33)(41,45,42,43) (46,50,47,48), ( 1, 2, 3, 4, 5)( 7,15,13,10, 9)(16,23,30,32,39) (17,24,26,33,40)(18,25,27,34,36)(19,21,28,35,37)(20,22,29,31,38) (41,42,43,44,45)(46,48,50,47,49) ] ), schreierVector := [ -1, 4, 1, 2, 1, -2, 2, 3, 4, 3, 1, 1, 3, 3, 4, -3, 4, 1, 2, 4, 3, 3, 4, 4, 3, 3, 1, 1, 4, 1, 1, 4, 4, 1, 2, 4, 1, 2, 1, 3, -4, 4, 1, 1, 3, 2, 3, 4, 2, 3 ], adjacencies := [ [ 16, 22, 28, 34, 40 ], [ 16, 23, 30, 32, 39 ], [ 1, 6, 7, 41, 46 ], [ 16, 17, 18, 19, 20, 42, 43, 44, 45 ] ], representatives := [ 1, 6, 16, 41 ], isSimple := true, autGroup := Group( [ ( 2, 3, 5, 4)( 8,11,14,12)( 9,10,15,13)(17,18,20,19) (21,26,36,31)(22,28,40,34)(23,30,39,32)(24,27,38,35)(25,29,37,33) (42,43,45,44)(47,48,50,49), ( 2, 4, 5, 3)( 6, 7)( 8,15,14, 9) (10,11,13,12)(17,26,20,31)(18,36,19,21)(22,28,40,34)(23,38,39,24) (25,33,37,29)(27,30,35,32)(41,46)(42,48,45,49)(43,50,44,47), ( 2, 4, 5, 3)( 6, 8,14,12)( 7,10,13, 9)(16,40,22,28)(17,38,21,30) (18,36,25,27)(19,39,24,29)(20,37,23,26)(31,35,32,33)(41,45,42,43) (46,50,47,48), ( 1, 2, 3, 4, 5)( 7,15,13,10, 9)(16,23,30,32,39) (17,24,26,33,40)(18,25,27,34,36)(19,21,28,35,37)(20,22,29,31,38) (41,42,43,44,45)(46,48,50,47,49) ] ), names := [ (), (1,2,3,4,5), (1,3,5,2,4), (1,4,2,5,3), (1,5,4,3,2), (2,3,5,4), (2,4,5,3), (1,2,4,3), (1,2,5,4), (1,3,4,2), (1,3,2,5), (1,4,5,2), (1,4,3,5), (1,5,3,4), (1,5,2,3), [ 1, 1 ], [ 1, 2 ], [ 1, 3 ], [ 1, 4 ], [ 1, 5 ], [ 2, 1 ], [ 2, 2 ], [ 2, 3 ], [ 2, 4 ], [ 2, 5 ], [ 3, 1 ], [ 3, 2 ], [ 3, 3 ], [ 3, 4 ], [ 3, 5 ], [ 4, 1 ], [ 4, 2 ], [ 4, 3 ], [ 4, 4 ], [ 4, 5 ], [ 5, 1 ], [ 5, 2 ], [ 5, 3 ], [ 5, 4 ], [ 5, 5 ], [ "row", 1 ], [ "row", 2 ], [ "row", 3 ], [ "row", 4 ], [ "row", 5 ], [ "column", 1 ], [ "column", 2 ], [ "column", 3 ], [ "column", 4 ], [ "column", 5 ] ] ), rec( isGraph := true, order := 55, group := Group( [ ( 2, 3, 5, 4)( 9,13,20,17)(10,14,18,15)(11,12,19,16)(22,23,25, 24)(26,31,41,36)(27,33,45,39)(28,35,44,37)(29,32,43,40) (30,34,42,38)(47,48,50,49)(52,53,55,54), ( 2, 5)( 3, 4)( 6, 7)(10,12)(11,15)(14,19)(16,18)(22,26)(23,31) (24,36)(25,41)(28,32)(29,37)(30,42)(34,38)(35,43)(40,44)(46,51) (47,52)(48,53)(49,54)(50,55), ( 2, 3, 5, 4)( 6,10,15,14)( 7,12,11,19)( 8,17,20, 9)(21,45,33,39) (22,42,32,37)(23,44,31,40)(24,41,35,38)(25,43,34,36)(26,30,28,29) (46,50,48,49)(51,55,53,54), ( 1, 2, 4, 3)( 7,19,12,16)( 8,17,20, 9)(10,14,18,15)(21,28,37,35) (22,30,36,33)(23,27,40,31)(24,29,39,34)(25,26,38,32)(41,43,42,45) (46,47,49,48)(51,53,52,55), ( 1, 6)( 2,18, 4,14, 5,10, 3,15) ( 7, 8)( 9,11,17,16,20,19,13,12)(22,36,24,41,25,31,23,26) (27,37,39,44,45,35,33,28)(29,42,40,34,43,30,32,38)(46,51) (47,52,49,54,50,55,48,53) ] ), schreierVector := [ -1, 4, 1, 4, 2, 5, 2, 5, 5, 3, 2, 3, 5, 5, 5, 2, 3, 5, 4, 5, -2, 4, 1, 4, 2, 3, 5, 4, 3, 4, 3, 2, 3, 4, 5, 1, 4, 3, 1, 4, 4, 5, 4, 5, 3, -3, 4, 3, 1, 3, 2, 2, 4, 1, 3 ], adjacencies := [ [ 21, 27, 33, 39, 45 ], [ 1, 6, 7, 8, 46, 51 ], [ 21, 22, 23, 24, 25, 47, 48, 49, 50 ] ], representatives := [ 1, 21, 46 ], isSimple := true, autGroup := Group( [ ( 2, 3, 5, 4)( 9,13,20,17)(10,14,18,15)(11,12,19,16) (22,23,25,24)(26,31,41,36)(27,33,45,39)(28,35,44,37)(29,32,43,40) (30,34,42,38)(47,48,50,49)(52,53,55,54), ( 2, 5)( 3, 4)( 6, 7)(10,12)(11,15)(14,19)(16,18)(22,26)(23,31) (24,36)(25,41)(28,32)(29,37)(30,42)(34,38)(35,43)(40,44)(46,51) (47,52)(48,53)(49,54)(50,55), ( 2, 3, 5, 4)( 6,10,15,14)( 7,12,11,19)( 8,17,20, 9)(21,45,33,39) (22,42,32,37)(23,44,31,40)(24,41,35,38)(25,43,34,36)(26,30,28,29) (46,50,48,49)(51,55,53,54), ( 1, 2, 4, 3)( 7,19,12,16)( 8,17,20, 9)(10,14,18,15)(21,28,37,35) (22,30,36,33)(23,27,40,31)(24,29,39,34)(25,26,38,32)(41,43,42,45) (46,47,49,48)(51,53,52,55), ( 1, 6)( 2,18, 4,14, 5,10, 3,15) ( 7, 8)( 9,11,17,16,20,19,13,12)(22,36,24,41,25,31,23,26) (27,37,39,44,45,35,33,28)(29,42,40,34,43,30,32,38)(46,51) (47,52,49,54,50,55,48,53) ] ), names := [ (), (1,2,3,4,5), (1,3,5,2,4), (1,4,2,5,3), (1,5,4,3,2), (2,3,5,4), (2,4,5,3), (2,5)(3,4), (1,2)(3,5), (1,2,4,3), (1,2,5,4), (1,3,4,2), (1,3)(4,5), (1,3,2,5), (1,4,5,2), (1,4,3,5), (1,4)(2,3), (1,5,3,4), (1,5,2,3), (1,5)(2,4), [ 1, 1 ], [ 1, 2 ], [ 1, 3 ], [ 1, 4 ], [ 1, 5 ], [ 2, 1 ], [ 2, 2 ], [ 2, 3 ], [ 2, 4 ], [ 2, 5 ], [ 3, 1 ], [ 3, 2 ], [ 3, 3 ], [ 3, 4 ], [ 3, 5 ], [ 4, 1 ], [ 4, 2 ], [ 4, 3 ], [ 4, 4 ], [ 4, 5 ], [ 5, 1 ], [ 5, 2 ], [ 5, 3 ], [ 5, 4 ], [ 5, 5 ], [ "row", 1 ], [ "row", 2 ], [ "row", 3 ], [ "row", 4 ], [ "row", 5 ], [ "column", 1 ], [ "column", 2 ], [ "column", 3 ], [ "column", 4 ], [ "column", 5 ] ] ), rec( isGraph := true, order := 45, group := Group( [ ( 4, 5)( 8, 9)(12,16)(13,21)(14,26)(15,31)(18,22)(19,27) (20,32)(24,28)(25,33)(30,34)(36,41)(37,42)(38,43)(39,44)(40,45), ( 1, 2)( 3, 5)( 4, 6)( 7, 9)( 8,10)(12,13)(14,15)(17,18)(19,20) (22,23)(24,25)(27,28)(29,30)(32,33)(34,35)(42,43)(44,45), ( 1, 2)( 3, 7, 6,10)( 4, 8, 5, 9)(12,14,13,15)(16,26,21,31) (17,29,23,35)(18,30,22,34)(19,28,25,32)(20,27,24,33)(37,39,38,40) (42,44,43,45) ] ), schreierVector := [ -1, 2, -2, 1, 2, 3, 3, 3, 3, 3, -3, -4, 2, 3, 3, 1, -5, 2, -6, 2, 1, 1, 3, 3, 3, 3, 1, 3, 3, 3, 3, 1, 3, 3, 3, -7, -8, 3, 3, 3, 1, 1, 2, 3, 3 ], adjacencies := [ [ 11, 17, 23, 30, 34 ], [ 12, 16, 24, 28, 35 ], [ 1, 2, 36, 41 ], [ 3, 4, 36, 42 ], [ 1, 7, 37, 42 ], [ 4, 10, 37, 44 ], [ 11, 12, 13, 14, 15, 37, 38, 39, 40 ], [ 16, 17, 18, 19, 20, 36, 38, 39, 40 ] ], representatives := [ 1, 3, 11, 12, 17, 19, 36, 37 ], isSimple := true, autGroup := Group( [ ( 4, 5)( 8, 9)(12,16)(13,21)(14,26)(15,31)(18,22)(19,27) (20,32)(24,28)(25,33)(30,34)(36,41)(37,42)(38,43)(39,44)(40,45), ( 1, 2)( 3, 5)( 4, 6)( 7, 9)( 8,10)(12,13)(14,15)(17,18)(19,20) (22,23)(24,25)(27,28)(29,30)(32,33)(34,35)(42,43)(44,45), ( 1, 2)( 3, 7, 6,10)( 4, 8, 5, 9)(12,14,13,15)(16,26,21,31) (17,29,23,35)(18,30,22,34)(19,28,25,32)(20,27,24,33)(37,39,38,40) (42,44,43,45) ] ), names := [ (4,5), (2,3), (1,2)(3,4), (1,2,4,5,3), (1,3,5,4,2), (1,3)(2,5), (1,4)(3,5), (1,4,3,2,5), (1,5,2,3,4), (1,5)(2,4), [ 1, 1 ], [ 1, 2 ], [ 1, 3 ], [ 1, 4 ], [ 1, 5 ], [ 2, 1 ], [ 2, 2 ], [ 2, 3 ], [ 2, 4 ], [ 2, 5 ], [ 3, 1 ], [ 3, 2 ], [ 3, 3 ], [ 3, 4 ], [ 3, 5 ], [ 4, 1 ], [ 4, 2 ], [ 4, 3 ], [ 4, 4 ], [ 4, 5 ], [ 5, 1 ], [ 5, 2 ], [ 5, 3 ], [ 5, 4 ], [ 5, 5 ], [ "row", 1 ], [ "row", 2 ], [ "row", 3 ], [ "row", 4 ], [ "row", 5 ], [ "column", 1 ], [ "column", 2 ], [ "column", 3 ], [ "column", 4 ], [ "column", 5 ] ] ), rec( isGraph := true, order := 45, group := Group( [ ( 4, 5)( 6, 7)( 9,10)(12,16)(13,21)(14,26)(15,31)(18,22) (19,27)(20,32)(24,28)(25,33)(30,34)(36,41)(37,42)(38,43)(39,44) (40,45), ( 1, 8)( 2, 6)( 3, 9)( 4, 7)( 5,10)(11,13)(12,14)(16,23) (17,24)(18,21)(19,22)(20,25)(26,28)(27,29)(31,33)(32,34)(37,38) (41,43)(42,44) ] ), schreierVector := [ -1, -2, 2, 2, 1, 2, 1, 2, 1, 2, -3, -4, 2, 2, -5, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, -6, -7, 2, 1, 1, -8, 1, 1, 2, 2, 1 ], adjacencies := [ [ 11, 18, 22, 29, 35 ], [ 11, 20, 24, 28, 32 ], [ 1, 2, 36, 41 ], [ 3, 4, 36, 42 ], [ 5, 10, 36, 45 ], [ 1, 8, 40, 45 ], [ 11, 12, 13, 14, 15, 37, 38, 39, 40 ], [ 31, 32, 33, 34, 35, 36, 37, 38, 39 ] ], representatives := [ 1, 2, 11, 12, 15, 35, 36, 40 ], isSimple := true, autGroup := Group( [ ( 4, 5)( 6, 7)( 9,10)(12,16)(13,21)(14,26)(15,31)(18,22) (19,27)(20,32)(24,28)(25,33)(30,34)(36,41)(37,42)(38,43)(39,44) (40,45), ( 1, 8)( 2, 6)( 3, 9)( 4, 7)( 5,10)(11,13)(12,14)(16,23) (17,24)(18,21)(19,22)(20,25)(26,28)(27,29)(31,33)(32,34)(37,38) (41,43)(42,44) ] ), names := [ (2,3), (2,5)(3,4), (1,2)(3,5), (1,2,3,4,5), (1,5,4,3,2), (1,3,5,4), (1,4,5,3), (1,3)(2,4), (1,4,2,5), (1,5,2,4), [ 1, 1 ], [ 1, 2 ], [ 1, 3 ], [ 1, 4 ], [ 1, 5 ], [ 2, 1 ], [ 2, 2 ], [ 2, 3 ], [ 2, 4 ], [ 2, 5 ], [ 3, 1 ], [ 3, 2 ], [ 3, 3 ], [ 3, 4 ], [ 3, 5 ], [ 4, 1 ], [ 4, 2 ], [ 4, 3 ], [ 4, 4 ], [ 4, 5 ], [ 5, 1 ], [ 5, 2 ], [ 5, 3 ], [ 5, 4 ], [ 5, 5 ], [ "row", 1 ], [ "row", 2 ], [ "row", 3 ], [ "row", 4 ], [ "row", 5 ], [ "column", 1 ], [ "column", 2 ], [ "column", 3 ], [ "column", 4 ], [ "column", 5 ] ] ), rec( isGraph := true, order := 45, group := Group( [ ( 1, 4)( 2, 5)( 3, 6)( 7, 9)( 8,10)(11,12)(13,14)(16,17) (18,19)(21,22)(23,24)(26,27)(28,29)(31,32)(33,34)(41,42)(43,44), ( 1, 4)( 2, 6)( 3, 5)( 7,10)( 8, 9)(11,16)(12,17)(13,18)(14,19) (15,20)(21,26)(22,27)(23,28)(24,29)(25,30)(36,37)(38,39) ] ), schreierVector := [ -1, -2, 2, 1, 1, 2, -3, 2, 1, 2, -4, 1, -5, 1, -6, 2, 2, 2, 2, 2, -7, 1, -8, 1, -9, 2, 2, 2, 2, 2, -10, 1, -11, 1, -12, -13, 2, -14, 2, -15, -16, 1, -17, 1, -18 ], adjacencies := [ [ 11, 17, 23, 29, 35 ], [ 11, 18, 22, 30, 34 ], [ 13, 20, 24, 26, 32 ], [ 1, 2, 36, 41 ], [ 6, 7, 36, 43 ], [ 8, 10, 36, 45 ], [ 5, 10, 38, 41 ], [ 1, 9, 38, 43 ], [ 3, 6, 38, 45 ], [ 8, 9, 40, 41 ], [ 3, 5, 40, 43 ], [ 1, 4, 40, 45 ], [ 11, 12, 13, 14, 15, 37, 38, 39, 40 ], [ 21, 22, 23, 24, 25, 36, 37, 39, 40 ], [ 31, 32, 33, 34, 35, 36, 37, 38, 39 ], [ 11, 16, 21, 26, 31, 42, 43, 44, 45 ], [ 13, 18, 23, 28, 33, 41, 42, 44, 45 ], [ 15, 20, 25, 30, 35, 41, 42, 43, 44 ] ], representatives := [ 1, 2, 7, 11, 13, 15, 21, 23, 25, 31, 33, 35, 36, 38, 40, 41, 43, 45 ], isSimple := true, autGroup := Group( [ ( 1, 4)( 2, 5)( 3, 6)( 7, 9)( 8,10)(11,12)(13,14)(16,17) (18,19)(21,22)(23,24)(26,27)(28,29)(31,32)(33,34)(41,42)(43,44), ( 1, 4)( 2, 6)( 3, 5)( 7,10)( 8, 9)(11,16)(12,17)(13,18)(14,19) (15,20)(21,26)(22,27)(23,28)(24,29)(25,30)(36,37)(38,39) ] ), names := [ (), (2,3)(4,5), (1,4)(3,5), (1,2)(3,4), (1,2,4,5,3), (1,3,5,4,2), (1,3,4)(2,5), (1,5)(2,4,3), (1,4,2,5), (1,5,2,3), [ 1, 1 ], [ 1, 2 ], [ 1, 3 ], [ 1, 4 ], [ 1, 5 ], [ 2, 1 ], [ 2, 2 ], [ 2, 3 ], [ 2, 4 ], [ 2, 5 ], [ 3, 1 ], [ 3, 2 ], [ 3, 3 ], [ 3, 4 ], [ 3, 5 ], [ 4, 1 ], [ 4, 2 ], [ 4, 3 ], [ 4, 4 ], [ 4, 5 ], [ 5, 1 ], [ 5, 2 ], [ 5, 3 ], [ 5, 4 ], [ 5, 5 ], [ "row", 1 ], [ "row", 2 ], [ "row", 3 ], [ "row", 4 ], [ "row", 5 ], [ "column", 1 ], [ "column", 2 ], [ "column", 3 ], [ "column", 4 ], [ "column", 5 ] ] ), rec( isGraph := true, order := 45, group := Group( [ ( 1, 2)( 3, 4)( 6, 7)( 9,10)(11,17)(12,16)(13,19)(14,18) (15,20)(21,27)(22,26)(23,29)(24,28)(25,30)(31,32)(33,34)(36,37) (38,39)(41,42)(43,44), ( 1, 6)( 2, 7)( 3,10)( 4, 9)( 5, 8)(11,21) (12,22)(13,23)(14,24)(15,25)(16,26)(17,27)(18,28)(19,29)(20,30) (36,38)(37,39) ] ), schreierVector := [ -1, 1, -2, 1, -3, 2, 2, 2, 2, 2, -4, -5, -6, -7, -8, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -9, 1, -10, 1, -11, -12, 1, 2, 2, -13, -14, 1, -15, 1, -16 ], adjacencies := [ [ 11, 18, 22, 30, 34 ], [ 11, 19, 25, 28, 32 ], [ 12, 16, 23, 29, 35 ], [ 1, 3, 36, 41 ], [ 5, 6, 36, 42 ], [ 4, 8, 36, 43 ], [ 2, 9, 36, 44 ], [ 7, 10, 36, 45 ], [ 4, 9, 40, 41 ], [ 2, 7, 40, 43 ], [ 5, 8, 40, 45 ], [ 11, 12, 13, 14, 15, 37, 38, 39, 40 ], [ 31, 32, 33, 34, 35, 36, 37, 38, 39 ], [ 11, 16, 21, 26, 31, 42, 43, 44, 45 ], [ 13, 18, 23, 28, 33, 41, 42, 44, 45 ], [ 15, 20, 25, 30, 35, 41, 42, 43, 44 ] ], representatives := [ 1, 3, 5, 11, 12, 13, 14, 15, 31, 33, 35, 36, 40, 41, 43, 45 ], isSimple := true, autGroup := Group( [ ( 1, 2)( 3, 4)( 6, 7)( 9,10)(11,17)(12,16)(13,19)(14,18) (15,20)(21,27)(22,26)(23,29)(24,28)(25,30)(31,32)(33,34)(36,37) (38,39)(41,42)(43,44), ( 1, 6)( 2, 7)( 3,10)( 4, 9)( 5, 8)(11,21) (12,22)(13,23)(14,24)(15,25)(16,26)(17,27)(18,28)(19,29)(20,30) (36,38)(37,39) ] ), names := [ (2,3)(4,5), (1,4)(3,5), (2,4,3,5), (1,3,4,5), (1,2), (1,2,5,4,3), (1,5,3,4,2), (1,3,2,4), (1,4,2,5), (1,5,2,3), [ 1, 1 ], [ 1, 2 ], [ 1, 3 ], [ 1, 4 ], [ 1, 5 ], [ 2, 1 ], [ 2, 2 ], [ 2, 3 ], [ 2, 4 ], [ 2, 5 ], [ 3, 1 ], [ 3, 2 ], [ 3, 3 ], [ 3, 4 ], [ 3, 5 ], [ 4, 1 ], [ 4, 2 ], [ 4, 3 ], [ 4, 4 ], [ 4, 5 ], [ 5, 1 ], [ 5, 2 ], [ 5, 3 ], [ 5, 4 ], [ 5, 5 ], [ "row", 1 ], [ "row", 2 ], [ "row", 3 ], [ "row", 4 ], [ "row", 5 ], [ "column", 1 ], [ "column", 2 ], [ "column", 3 ], [ "column", 4 ], [ "column", 5 ] ] ) ];