G := sub<Sym( 126 )|
(2, 13, 112, 108, 24, 93, 45, 7)(3, 32, 53, 102, 54, 65, 75, 16)(4, 41, 52, 104,
    11, 68, 99, 30)(5, 81, 122, 18, 56, 34, 19, 63)(6, 17, 72, 69, 101, 10, 55, 
    31)(8, 29, 100, 40, 84, 67, 37, 57)(9, 36, 98, 124, 27, 94, 117, 66)(12, 
    120, 42, 43, 33, 15, 26, 106)(14, 76, 64, 85, 86, 96, 70, 97)(20, 73, 82, 
    83, 125, 50, 39, 113)(21, 74, 87, 23, 59, 105, 110, 61)(22, 60, 88, 123, 78,
    62, 90, 116)(28, 118, 77, 79, 44, 46, 115, 121)(35, 80, 109, 48, 95, 49, 
    114, 126)(38, 91, 47, 92, 51, 107, 71, 119)(58, 103, 89, 111)
,
(1, 2, 4, 10, 25)(3, 7, 17, 41, 19)(5, 13, 33, 68, 111)(6, 14, 36, 34, 70)(8, 
    20, 47, 81, 48)(9, 22, 32, 61, 106)(11, 28, 37, 40, 82)(12, 30, 24, 55, 
    65)(15, 38, 77, 29, 64)(16, 39, 43, 85, 73)(18, 44, 75, 118, 109)(21, 49, 
    93, 126, 120)(23, 53, 42, 83, 52)(26, 58, 104, 122, 101)(27, 60, 105, 110, 
    124)(31, 35, 72, 116, 66)(45, 87, 123, 108, 96)(46, 89, 95, 100, 59)(50, 94,
    57, 76, 103)(51, 97, 114, 71, 107)(54, 88, 74, 63, 98)(56, 102, 117, 99, 
    121)(62, 86, 78, 90, 80)(67, 79, 112, 92, 125)(69, 113, 84, 115, 119)
,
(2, 5)(3, 8)(4, 11)(6, 15)(7, 18)(9, 23)(10, 26)(12, 31)(13, 34)(14, 28)(16, 
    40)(17, 42)(19, 45)(20, 48)(21, 36)(22, 51)(24, 56)(27, 61)(29, 65)(32, 
    67)(33, 69)(35, 73)(37, 75)(38, 78)(39, 80)(43, 55)(44, 86)(46, 76)(47, 
    90)(49, 82)(50, 95)(52, 99)(53, 100)(54, 84)(57, 102)(58, 89)(59, 94)(60, 
    91)(62, 107)(63, 108)(64, 77)(66, 110)(70, 115)(71, 88)(72, 106)(74, 
    117)(79, 97)(81, 93)(83, 109)(85, 121)(87, 124)(92, 123)(96, 118)(98, 
    105)(101, 120)(103, 111)(112, 122)(113, 114)(116, 119)(125, 126)
>;
gens := [
[G|
(1, 11, 26)(2, 87, 89)(3, 73, 51)(4, 34, 5)(6, 35, 55)(7, 43, 24)(8, 88, 108)(9,
    99, 18)(10, 14, 25)(12, 103, 62)(13, 94, 75)(15, 46, 37)(16, 57, 17)(19, 77,
    117)(20, 86, 83)(21, 101, 76)(22, 104, 124)(23, 79, 31)(27, 105, 97)(28, 39,
    69)(29, 85, 52)(30, 71, 98)(32, 95, 66)(33, 123, 47)(36, 49, 102)(38, 81, 
    120)(40, 48, 74)(41, 56, 60)(42, 121, 109)(44, 68, 78)(45, 91, 67)(50, 110, 
    116)(53, 125, 80)(54, 72, 84)(58, 70, 61)(59, 115, 82)(63, 119, 113)(64, 
    122, 106)(65, 96, 100)(90, 118, 114)(92, 111, 126)(93, 112, 107)
,
(1, 63, 56, 117, 89, 73, 71, 93, 103, 91, 59, 109, 111, 75, 39, 123, 58, 61, 
    102, 8)(2, 77, 69, 94, 40, 72, 97, 88, 49, 43, 79, 24, 36, 70, 33, 57, 90, 
    52, 104, 80)(3, 64, 48, 13, 92, 99, 29, 114, 83, 115, 45, 116, 81, 55, 78, 
    84, 74, 106, 66, 98)(4, 65, 42, 82, 86, 20, 118, 16, 120, 110, 96, 5, 6, 38,
    17, 47, 28, 19, 41, 21)(7, 23, 124, 85, 9, 18, 126, 121, 100, 50, 67, 12, 
    62, 107, 112, 30, 95, 53, 22, 31)(10, 14, 27, 54, 68, 15, 37, 119, 26, 101, 
    60, 113, 46, 44, 35, 34, 76, 11, 108, 105)(32, 122, 51, 87, 125)
]
,
[G|
(1, 11, 26)(2, 87, 89)(3, 73, 51)(4, 34, 5)(6, 35, 55)(7, 43, 24)(8, 88, 108)(9,
    99, 18)(10, 14, 25)(12, 103, 62)(13, 94, 75)(15, 46, 37)(16, 57, 17)(19, 77,
    117)(20, 86, 83)(21, 101, 76)(22, 104, 124)(23, 79, 31)(27, 105, 97)(28, 39,
    69)(29, 85, 52)(30, 71, 98)(32, 95, 66)(33, 123, 47)(36, 49, 102)(38, 81, 
    120)(40, 48, 74)(41, 56, 60)(42, 121, 109)(44, 68, 78)(45, 91, 67)(50, 110, 
    116)(53, 125, 80)(54, 72, 84)(58, 70, 61)(59, 115, 82)(63, 119, 113)(64, 
    122, 106)(65, 96, 100)(90, 118, 114)(92, 111, 126)(93, 112, 107)
,
(1, 95, 19, 3, 58, 62, 38, 74, 111, 100, 110, 81, 103, 9, 20, 83, 89, 7, 65, 
    92)(2, 86, 18, 108, 90, 4, 23, 35, 36, 28, 53, 60, 49, 6, 107, 37, 40, 120, 
    50, 27)(5, 43, 87, 97, 16, 72, 125, 69, 82, 77, 32, 104, 21, 52, 122, 33, 
    47, 70, 51, 79)(8, 99, 12, 61, 123, 64, 121, 75, 109, 106, 85, 91, 93, 55, 
    31, 73, 117, 115, 30, 63)(10, 14, 67, 29, 76, 11, 126, 48, 46, 44, 124, 66, 
    26, 101, 22, 78, 68, 15, 112, 45)(13, 42, 94, 119, 98, 41, 80, 54, 84, 17, 
    57, 105, 116, 96, 24, 34, 114, 118, 88, 113)(39, 102, 56, 71, 59)
]
,
[G|
(1, 112, 63, 117)(2, 104, 110, 99)(3, 126, 61, 23)(4, 55, 57, 27)(5, 90, 54, 
    51)(6, 33, 118, 10)(7, 40, 52, 41)(8, 36, 46, 114)(9, 123, 28, 120)(11, 106,
    42, 53)(12, 124, 25, 75)(13, 48, 18, 125)(14, 65, 74, 69)(15, 87, 64, 
    83)(16, 47, 67, 73)(19, 77, 22, 91)(20, 60, 56, 111)(21, 32, 96, 108)(24, 
    85, 50, 121)(26, 35, 81, 109)(30, 70, 31, 86)(34, 107, 68, 44)(37, 45, 49, 
    82)(38, 93)(39, 62, 100, 119)(43, 113, 79, 71)(58, 92)(59, 78, 101, 94)(66, 
    115, 97, 72)(76, 105, 84, 116)(80, 103, 98, 88)(89, 95, 102, 122)
,
(1, 28, 95, 108, 46, 27, 57, 80)(2, 11, 8, 35, 49, 59, 76, 51)(3, 20, 13, 19, 
    91, 16, 32, 58)(4, 36, 53, 48, 111, 40, 112, 88)(5, 116, 69, 25, 34, 75, 74,
    90)(6, 63, 7, 67, 52, 56, 14, 84)(9, 104, 54, 65, 60, 23, 85, 62)(10, 18, 
    42, 43, 31, 110, 120, 117)(12, 44, 33, 105, 94, 93, 38, 101)(15, 81, 114, 
    96, 73, 41, 47, 22)(17, 79, 113, 106, 99, 70, 86, 71)(21, 89, 126, 92)(24, 
    82, 26, 109, 83, 29, 64, 100)(37, 121, 103, 55, 98, 50, 61, 122)(39, 115, 
    107, 124, 78, 45, 102, 123)(66, 97, 119, 87, 77, 125, 118, 68)
]
,
[G|
(1, 112, 63, 117)(2, 104, 110, 99)(3, 126, 61, 23)(4, 55, 57, 27)(5, 90, 54, 
    51)(6, 33, 118, 10)(7, 40, 52, 41)(8, 36, 46, 114)(9, 123, 28, 120)(11, 106,
    42, 53)(12, 124, 25, 75)(13, 48, 18, 125)(14, 65, 74, 69)(15, 87, 64, 
    83)(16, 47, 67, 73)(19, 77, 22, 91)(20, 60, 56, 111)(21, 32, 96, 108)(24, 
    85, 50, 121)(26, 35, 81, 109)(30, 70, 31, 86)(34, 107, 68, 44)(37, 45, 49, 
    82)(38, 93)(39, 62, 100, 119)(43, 113, 79, 71)(58, 92)(59, 78, 101, 94)(66, 
    115, 97, 72)(76, 105, 84, 116)(80, 103, 98, 88)(89, 95, 102, 122)
,
(1, 38, 42, 58, 68, 32, 77, 39)(2, 104, 120, 45, 76, 25, 87, 9)(3, 34, 44, 92, 
    106, 66, 111, 100)(4, 88, 13, 36, 60, 55, 110, 99)(5, 118, 80, 27, 46, 125, 
    89, 109)(6, 16, 102, 90, 81, 75, 116, 84)(7, 52, 24, 121, 22, 21, 48, 98)(8,
    114, 57, 20, 72, 112, 119, 56)(10, 51, 29, 54, 95, 18, 108, 47)(11, 26, 122,
    73, 91, 50, 113, 115)(12, 35, 53, 93, 117, 70, 123, 15)(17, 101, 61, 59, 64,
    124, 83, 94)(19, 67, 96, 107, 23, 78, 126, 62)(28, 30, 82, 49)(31, 63, 97, 
    43, 74, 65, 69, 71)(33, 105, 37, 86, 79, 85, 40, 103)
]
,
[G|
(1, 112, 63, 117)(2, 104, 110, 99)(3, 126, 61, 23)(4, 55, 57, 27)(5, 90, 54, 
    51)(6, 33, 118, 10)(7, 40, 52, 41)(8, 36, 46, 114)(9, 123, 28, 120)(11, 106,
    42, 53)(12, 124, 25, 75)(13, 48, 18, 125)(14, 65, 74, 69)(15, 87, 64, 
    83)(16, 47, 67, 73)(19, 77, 22, 91)(20, 60, 56, 111)(21, 32, 96, 108)(24, 
    85, 50, 121)(26, 35, 81, 109)(30, 70, 31, 86)(34, 107, 68, 44)(37, 45, 49, 
    82)(38, 93)(39, 62, 100, 119)(43, 113, 79, 71)(58, 92)(59, 78, 101, 94)(66, 
    115, 97, 72)(76, 105, 84, 116)(80, 103, 98, 88)(89, 95, 102, 122)
,
(1, 7, 37, 18, 104, 71, 75, 88)(2, 11, 90, 22, 50, 60, 32, 43)(3, 115, 17, 66, 
    108, 96, 20, 101)(4, 95, 55, 47, 91, 5, 51, 67)(8, 110, 48, 70, 63, 120, 42,
    118)(9, 112, 98, 124, 12, 79, 109, 34)(10, 106, 99, 114, 46, 29, 36, 33)(13,
    105, 97, 23, 87, 83, 122, 31)(14, 116, 84, 125, 82, 100, 38, 35)(16, 45, 41,
    74, 40, 117, 30, 19)(21, 72, 76, 69, 52, 65, 26, 113)(24, 58, 92, 121, 77, 
    86, 102, 27)(25, 103, 94, 111, 68, 39, 59, 80)(28, 126, 78, 119, 49, 73, 54,
    53)(44, 56, 85, 57, 89, 64, 61, 123)(62, 107, 81, 93)
]
,
[G|
(1, 112, 63, 117)(2, 104, 110, 99)(3, 126, 61, 23)(4, 55, 57, 27)(5, 90, 54, 
    51)(6, 33, 118, 10)(7, 40, 52, 41)(8, 36, 46, 114)(9, 123, 28, 120)(11, 106,
    42, 53)(12, 124, 25, 75)(13, 48, 18, 125)(14, 65, 74, 69)(15, 87, 64, 
    83)(16, 47, 67, 73)(19, 77, 22, 91)(20, 60, 56, 111)(21, 32, 96, 108)(24, 
    85, 50, 121)(26, 35, 81, 109)(30, 70, 31, 86)(34, 107, 68, 44)(37, 45, 49, 
    82)(38, 93)(39, 62, 100, 119)(43, 113, 79, 71)(58, 92)(59, 78, 101, 94)(66, 
    115, 97, 72)(76, 105, 84, 116)(80, 103, 98, 88)(89, 95, 102, 122)
,
(1, 89, 75, 77, 88, 6, 112, 17)(2, 51, 107, 121, 55, 27, 57, 50)(3, 23, 44, 
    7)(5, 99, 39, 14, 101, 78, 100, 111)(8, 53, 47, 11, 114, 49, 36, 29)(9, 48, 
    80, 19, 21, 113, 43, 28)(10, 12, 122, 35, 26, 73, 116, 63)(13, 74, 115, 97, 
    65, 119, 59, 103)(15, 104, 85, 79, 108, 124, 118, 105)(16, 109, 126, 41, 72,
    66, 52, 106)(18, 120, 71, 24, 34, 61, 81, 102)(20, 62, 110, 83, 92, 31, 70, 
    37)(22, 25, 96, 60, 82, 46, 45, 30)(32, 91, 86, 58, 64, 93, 90, 56)(33, 98, 
    94, 69, 125, 95, 117, 84)(38, 87, 76, 67, 42, 40, 68, 54)
]
,
[G|
(1, 112, 63, 117)(2, 104, 110, 99)(3, 126, 61, 23)(4, 55, 57, 27)(5, 90, 54, 
    51)(6, 33, 118, 10)(7, 40, 52, 41)(8, 36, 46, 114)(9, 123, 28, 120)(11, 106,
    42, 53)(12, 124, 25, 75)(13, 48, 18, 125)(14, 65, 74, 69)(15, 87, 64, 
    83)(16, 47, 67, 73)(19, 77, 22, 91)(20, 60, 56, 111)(21, 32, 96, 108)(24, 
    85, 50, 121)(26, 35, 81, 109)(30, 70, 31, 86)(34, 107, 68, 44)(37, 45, 49, 
    82)(38, 93)(39, 62, 100, 119)(43, 113, 79, 71)(58, 92)(59, 78, 101, 94)(66, 
    115, 97, 72)(76, 105, 84, 116)(80, 103, 98, 88)(89, 95, 102, 122)
,
(1, 21, 48, 3, 114, 8, 23, 81)(2, 26, 39, 14, 69, 110, 107, 19)(4, 63, 64, 120, 
    57, 77, 34, 116)(5, 70, 73, 94, 18, 108, 50, 105)(6, 45, 125, 101, 53, 102, 
    95, 33)(7, 38, 31, 51, 54, 12, 29, 75)(9, 87, 106, 72, 47, 20, 88, 123)(10, 
    80, 111, 24, 59, 67, 97, 49)(11, 78, 121, 96, 82, 115, 17, 66)(13, 37, 32, 
    117, 27, 28, 98, 126)(15, 83, 112, 35, 99, 74, 122, 42)(16, 30, 36, 46, 86, 
    93, 41, 60)(22, 55, 84, 85, 56, 52, 79, 58)(25, 68, 104, 91, 92, 113, 71, 
    40)(44, 124, 90, 76)(61, 103, 118, 89, 65, 119, 62, 109)
]
,
[G|
(1, 112, 63, 117)(2, 104, 110, 99)(3, 126, 61, 23)(4, 55, 57, 27)(5, 90, 54, 
    51)(6, 33, 118, 10)(7, 40, 52, 41)(8, 36, 46, 114)(9, 123, 28, 120)(11, 106,
    42, 53)(12, 124, 25, 75)(13, 48, 18, 125)(14, 65, 74, 69)(15, 87, 64, 
    83)(16, 47, 67, 73)(19, 77, 22, 91)(20, 60, 56, 111)(21, 32, 96, 108)(24, 
    85, 50, 121)(26, 35, 81, 109)(30, 70, 31, 86)(34, 107, 68, 44)(37, 45, 49, 
    82)(38, 93)(39, 62, 100, 119)(43, 113, 79, 71)(58, 92)(59, 78, 101, 94)(66, 
    115, 97, 72)(76, 105, 84, 116)(80, 103, 98, 88)(89, 95, 102, 122)
,
(1, 85, 95, 2, 51, 82, 116, 93)(3, 27, 64, 119, 65, 108, 83, 57)(4, 23, 41, 104,
    89, 81, 105, 101)(5, 99, 17, 110, 52, 34, 6, 72)(7, 61, 126, 55, 78, 19, 66,
    10)(8, 114, 46, 26, 15, 96, 90, 97)(9, 125, 48, 42, 102, 24, 33, 44)(11, 71,
    74, 100, 21, 14, 58, 70)(12, 75, 22, 107, 40, 118, 121, 98)(13, 120, 28, 94,
    76, 49, 43, 53)(16, 31, 92, 69, 79, 63, 124, 103)(20, 56, 39, 87, 109, 122, 
    106, 30)(25, 112, 38, 84, 35, 36, 115, 91)(29, 88, 50, 117, 113, 45, 47, 
    80)(32, 62, 60, 86, 73, 67, 37, 54)(59, 123, 68, 77)
]
,
[G|
(1, 112, 63, 117)(2, 104, 110, 99)(3, 126, 61, 23)(4, 55, 57, 27)(5, 90, 54, 
    51)(6, 33, 118, 10)(7, 40, 52, 41)(8, 36, 46, 114)(9, 123, 28, 120)(11, 106,
    42, 53)(12, 124, 25, 75)(13, 48, 18, 125)(14, 65, 74, 69)(15, 87, 64, 
    83)(16, 47, 67, 73)(19, 77, 22, 91)(20, 60, 56, 111)(21, 32, 96, 108)(24, 
    85, 50, 121)(26, 35, 81, 109)(30, 70, 31, 86)(34, 107, 68, 44)(37, 45, 49, 
    82)(38, 93)(39, 62, 100, 119)(43, 113, 79, 71)(58, 92)(59, 78, 101, 94)(66, 
    115, 97, 72)(76, 105, 84, 116)(80, 103, 98, 88)(89, 95, 102, 122)
,
(1, 104, 48, 106, 60, 8, 36, 20)(2, 119, 112, 111, 54, 120, 33, 18)(3, 68, 91, 
    81, 76, 123, 9, 90)(4, 27, 69, 74, 26, 94, 63, 100)(5, 55, 62, 19, 107, 78, 
    85, 126)(6, 64, 73, 115, 118, 28, 116, 125)(7, 61, 24, 83, 10, 66, 38, 
    43)(11, 49, 37, 122, 14, 57, 51, 56)(12, 80, 15, 121, 110, 117, 101, 34)(13,
    84, 105, 35, 65, 102, 96, 42)(16, 87, 88, 30)(17, 70, 98, 103, 75, 58, 52, 
    31)(21, 47, 86, 40, 71, 113, 93, 72)(22, 29, 77, 39, 99, 50, 59, 109)(23, 
    41, 92, 25, 46, 114, 124, 44)(32, 97, 67, 108, 95, 89, 82, 53)
]
,
[G|
(1, 112, 63, 117)(2, 104, 110, 99)(3, 126, 61, 23)(4, 55, 57, 27)(5, 90, 54, 
    51)(6, 33, 118, 10)(7, 40, 52, 41)(8, 36, 46, 114)(9, 123, 28, 120)(11, 106,
    42, 53)(12, 124, 25, 75)(13, 48, 18, 125)(14, 65, 74, 69)(15, 87, 64, 
    83)(16, 47, 67, 73)(19, 77, 22, 91)(20, 60, 56, 111)(21, 32, 96, 108)(24, 
    85, 50, 121)(26, 35, 81, 109)(30, 70, 31, 86)(34, 107, 68, 44)(37, 45, 49, 
    82)(38, 93)(39, 62, 100, 119)(43, 113, 79, 71)(58, 92)(59, 78, 101, 94)(66, 
    115, 97, 72)(76, 105, 84, 116)(80, 103, 98, 88)(89, 95, 102, 122)
,
(1, 114, 67, 38, 10, 65, 98, 27)(2, 44, 21, 72, 23, 49, 37, 33)(3, 97, 124, 119,
    25, 115, 26, 16)(4, 103, 59, 86, 40, 95, 105, 55)(5, 35, 66, 108, 71, 79, 
    113, 64)(6, 93, 47, 109, 126, 73, 46, 104)(7, 53, 29, 42, 90, 87, 70, 
    102)(8, 117, 78, 80, 17, 88, 14, 111)(9, 13, 110, 36, 56, 91, 24, 123)(11, 
    41, 39, 12, 85, 22, 32, 68)(15, 116, 50, 75, 100, 62, 52, 31)(19, 60, 54, 
    106, 107, 101, 63, 58)(20, 69, 74, 118, 82, 61, 81, 51)(28, 121, 84, 89)(30,
    94, 34, 99, 125, 48, 120, 122)(43, 96, 77, 92, 112, 57, 76, 83)
]
,
[G|
(1, 112, 63, 117)(2, 104, 110, 99)(3, 126, 61, 23)(4, 55, 57, 27)(5, 90, 54, 
    51)(6, 33, 118, 10)(7, 40, 52, 41)(8, 36, 46, 114)(9, 123, 28, 120)(11, 106,
    42, 53)(12, 124, 25, 75)(13, 48, 18, 125)(14, 65, 74, 69)(15, 87, 64, 
    83)(16, 47, 67, 73)(19, 77, 22, 91)(20, 60, 56, 111)(21, 32, 96, 108)(24, 
    85, 50, 121)(26, 35, 81, 109)(30, 70, 31, 86)(34, 107, 68, 44)(37, 45, 49, 
    82)(38, 93)(39, 62, 100, 119)(43, 113, 79, 71)(58, 92)(59, 78, 101, 94)(66, 
    115, 97, 72)(76, 105, 84, 116)(80, 103, 98, 88)(89, 95, 102, 122)
,
(1, 51, 96, 88, 43, 52, 62, 113, 98, 103)(3, 10, 74, 17, 65, 5, 117, 47, 119, 
    33)(4, 25, 53, 56, 37)(6, 23, 76, 95, 85, 120, 107, 93, 87, 126)(7, 26, 109,
    55, 82, 125, 123, 46, 101, 83)(8, 86, 50, 89, 44, 68, 28, 18, 70, 115)(9, 
    24, 110, 112, 80, 32, 84, 97, 30, 114)(11, 124, 67, 63, 104, 99, 121, 31, 
    48, 19)(12, 58, 94, 36, 66, 22, 77, 13, 49, 73)(14, 69, 118, 100, 40, 64, 
    38, 34, 122, 90)(15, 78, 111, 42, 29, 106, 91, 72, 105, 61)(16, 45, 60, 20, 
    59, 92, 75, 27, 79, 39)(21, 35, 41, 71, 57, 81, 108, 54, 102, 116)
]
,
[G|
(1, 112, 63, 117)(2, 104, 110, 99)(3, 126, 61, 23)(4, 55, 57, 27)(5, 90, 54, 
    51)(6, 33, 118, 10)(7, 40, 52, 41)(8, 36, 46, 114)(9, 123, 28, 120)(11, 106,
    42, 53)(12, 124, 25, 75)(13, 48, 18, 125)(14, 65, 74, 69)(15, 87, 64, 
    83)(16, 47, 67, 73)(19, 77, 22, 91)(20, 60, 56, 111)(21, 32, 96, 108)(24, 
    85, 50, 121)(26, 35, 81, 109)(30, 70, 31, 86)(34, 107, 68, 44)(37, 45, 49, 
    82)(38, 93)(39, 62, 100, 119)(43, 113, 79, 71)(58, 92)(59, 78, 101, 94)(66, 
    115, 97, 72)(76, 105, 84, 116)(80, 103, 98, 88)(89, 95, 102, 122)
,
(1, 51, 72, 40, 92, 126, 3, 83, 94, 45)(4, 82, 95, 85, 24, 90, 84, 62, 87, 
    75)(5, 117, 16, 36, 111, 11, 52, 97, 13, 116)(6, 78, 66, 54, 121, 76, 125, 
    118, 29, 33)(7, 43, 124, 46, 73, 9, 120, 86, 61, 58)(8, 107, 108, 22, 
    20)(10, 18, 57, 122, 110, 104, 99, 102, 49, 101)(12, 15, 23, 31, 79, 38, 35,
    98, 68, 114)(14, 109, 44, 103, 60, 77, 30, 28, 74, 32)(17, 88, 26, 69, 123, 
    67, 119, 106, 56, 80)(19, 42, 100, 105, 50, 89, 55, 25, 71, 70)(21, 34, 81, 
    93, 113, 41, 53, 91, 96, 65)(27, 48, 115, 59, 64, 39, 47, 63, 112, 37)
]
,
[G|
(1, 112, 63, 117)(2, 104, 110, 99)(3, 126, 61, 23)(4, 55, 57, 27)(5, 90, 54, 
    51)(6, 33, 118, 10)(7, 40, 52, 41)(8, 36, 46, 114)(9, 123, 28, 120)(11, 106,
    42, 53)(12, 124, 25, 75)(13, 48, 18, 125)(14, 65, 74, 69)(15, 87, 64, 
    83)(16, 47, 67, 73)(19, 77, 22, 91)(20, 60, 56, 111)(21, 32, 96, 108)(24, 
    85, 50, 121)(26, 35, 81, 109)(30, 70, 31, 86)(34, 107, 68, 44)(37, 45, 49, 
    82)(38, 93)(39, 62, 100, 119)(43, 113, 79, 71)(58, 92)(59, 78, 101, 94)(66, 
    115, 97, 72)(76, 105, 84, 116)(80, 103, 98, 88)(89, 95, 102, 122)
,
(1, 39, 69, 18, 46, 86, 96, 37, 12, 90)(2, 58, 102, 104, 50, 26, 120, 118, 60, 
    121)(3, 115, 84, 78, 122, 92, 99, 98, 45, 32)(4, 17, 27, 30, 36, 89, 59, 97,
    23, 76)(5, 72, 94, 38, 62, 117, 44, 34, 63, 112)(6, 42, 35, 85, 40, 111, 56,
    33, 107, 68)(7, 123, 14, 119, 91, 126, 21, 52, 24, 20)(8, 11, 113, 73, 67, 
    47, 77, 88, 110, 95)(9, 109, 15, 54, 75, 124, 82, 70, 57, 65)(10, 28, 41, 
    108, 31, 49, 103, 71, 79, 53)(13, 29, 125, 74, 55, 116, 66, 51, 83, 64)(16, 
    43, 80, 19, 100, 93, 101, 105, 61, 22)(48, 87, 81, 106, 114)
]
,
[G|
(1, 112, 63, 117)(2, 104, 110, 99)(3, 126, 61, 23)(4, 55, 57, 27)(5, 90, 54, 
    51)(6, 33, 118, 10)(7, 40, 52, 41)(8, 36, 46, 114)(9, 123, 28, 120)(11, 106,
    42, 53)(12, 124, 25, 75)(13, 48, 18, 125)(14, 65, 74, 69)(15, 87, 64, 
    83)(16, 47, 67, 73)(19, 77, 22, 91)(20, 60, 56, 111)(21, 32, 96, 108)(24, 
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,
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,
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,
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,
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,
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    98, 125, 103, 18, 80, 48, 88)(19, 35, 91, 26, 22, 109, 77, 81)(21, 116, 108,
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,
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    121)(11, 66, 53, 72, 42, 97, 106, 115)(12, 69, 75, 74, 25, 65, 124, 14)(13, 
    98, 125, 103, 18, 80, 48, 88)(19, 35, 91, 26, 22, 109, 77, 81)(21, 116, 108,
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,
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    121)(11, 66, 53, 72, 42, 97, 106, 115)(12, 69, 75, 74, 25, 65, 124, 14)(13, 
    98, 125, 103, 18, 80, 48, 88)(19, 35, 91, 26, 22, 109, 77, 81)(21, 116, 108,
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,
[G|
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    121)(11, 66, 53, 72, 42, 97, 106, 115)(12, 69, 75, 74, 25, 65, 124, 14)(13, 
    98, 125, 103, 18, 80, 48, 88)(19, 35, 91, 26, 22, 109, 77, 81)(21, 116, 108,
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    22, 116, 35, 68, 126, 98, 27, 46, 112, 114, 60)(11, 101, 14, 44, 15)
]
,
[G|
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    111, 61, 56, 126, 60)(4, 73, 27, 67, 57, 47, 55, 16)(6, 44, 10, 68, 118, 
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    121)(11, 66, 53, 72, 42, 97, 106, 115)(12, 69, 75, 74, 25, 65, 124, 14)(13, 
    98, 125, 103, 18, 80, 48, 88)(19, 35, 91, 26, 22, 109, 77, 81)(21, 116, 108,
    84, 96, 105, 32, 76)(30, 122, 86, 102, 31, 95, 70, 89)(37, 62, 82, 39, 49, 
    119, 45, 100)(38, 58, 93, 92)(43, 78, 71, 59, 79, 94, 113, 101)
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]
,
[G|
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    121)(11, 66, 53, 72, 42, 97, 106, 115)(12, 69, 75, 74, 25, 65, 124, 14)(13, 
    98, 125, 103, 18, 80, 48, 88)(19, 35, 91, 26, 22, 109, 77, 81)(21, 116, 108,
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    119, 45, 100)(38, 58, 93, 92)(43, 78, 71, 59, 79, 94, 113, 101)
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    40, 76, 75)(5, 43, 124, 24, 107, 22, 110, 64, 26, 91, 66, 48, 125, 88, 11, 
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    54, 74, 32, 58, 53, 35, 113, 96, 41, 111, 77)(38, 62, 47, 108, 72)
]
,
[G|
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    111, 61, 56, 126, 60)(4, 73, 27, 67, 57, 47, 55, 16)(6, 44, 10, 68, 118, 
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    121)(11, 66, 53, 72, 42, 97, 106, 115)(12, 69, 75, 74, 25, 65, 124, 14)(13, 
    98, 125, 103, 18, 80, 48, 88)(19, 35, 91, 26, 22, 109, 77, 81)(21, 116, 108,
    84, 96, 105, 32, 76)(30, 122, 86, 102, 31, 95, 70, 89)(37, 62, 82, 39, 49, 
    119, 45, 100)(38, 58, 93, 92)(43, 78, 71, 59, 79, 94, 113, 101)
,
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    44, 59, 26, 55, 123, 57, 115, 65)(6, 75, 85, 53, 86, 45, 68, 20, 25, 81, 8, 
    54, 28, 56, 126, 41, 120, 21, 37, 79)(9, 73, 16, 91, 112, 121, 36, 18, 96, 
    99, 42, 22, 71, 97, 15, 88, 58, 95, 31, 43)(11, 67, 50, 77, 124, 106, 78, 
    102, 66, 105, 103, 113, 87, 49, 98, 30, 110, 92, 12, 32)(14, 109, 72, 114, 
    27, 40, 47, 52, 63, 70, 38, 83, 84, 29, 108, 118, 119, 104, 62, 76)
]
,
[G|
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    111, 61, 56, 126, 60)(4, 73, 27, 67, 57, 47, 55, 16)(6, 44, 10, 68, 118, 
    107, 33, 34)(7, 120, 41, 28, 52, 123, 40, 9)(8, 50, 114, 85, 46, 24, 36, 
    121)(11, 66, 53, 72, 42, 97, 106, 115)(12, 69, 75, 74, 25, 65, 124, 14)(13, 
    98, 125, 103, 18, 80, 48, 88)(19, 35, 91, 26, 22, 109, 77, 81)(21, 116, 108,
    84, 96, 105, 32, 76)(30, 122, 86, 102, 31, 95, 70, 89)(37, 62, 82, 39, 49, 
    119, 45, 100)(38, 58, 93, 92)(43, 78, 71, 59, 79, 94, 113, 101)
,
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[G|
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,
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]
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