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On this page are computer-accessible forms for the graph C4[ 120, 54 ] = XI(Rmap(60,57){4,6|6}_10).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {25, 62} under the group generated by the following permutations:

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

(III) Last is Groups&Graphs. Copy everything between (not including) the lines of asterisks into a plain text file and save it as "graph.txt". Then launch G&G (Groups&Graphs) and select Read Text from the File menu.

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&Graph
C4[ 120, 54 ]
120
-1 61 62 63 65
-2 66 69 61 64
-3 67 70 62 73
-4 66 68 63 74
-5 67 79 64 75
-6 80 70 71 65
-7 66 81 72 63
-8 68 71 82 87
-9 88 69 75 76
-10 77 89 70 65
-11 66 78 90 61
-12 91 72 97 76
-13 79 83 73 98
-14 88 82 74 76
-15 99 69 84 75
-16 100 70 62 85
-17 61 63 96 86
-18 77 101 83 108
-19 78 102 97 76
-20 79 92 73 109
-21 80 83 87 98
-22 80 91 81 71
-23 110 82 93 74
-24 94 107 64 75
-25 62 95 107 65
-26 111 92 114 84
-27 83 106 85 108
-28 71 105 86 87
-29 112 80 103 87
-30 88 92 97 109
-31 89 68 101 74
-32 67 90 102 73
-33 91 81 104 115
-34 67 79 105 96
-35 68 82 94 95
-36 100 69 106 64
-37 103 93 116 118
-38 92 114 94 95
-39 88 112 103 97
-40 99 84 108 98
-41 99 111 81 72
-42 89 101 113 117
-43 90 102 104 119
-44 91 72 106 85
-45 112 104 118 119
-46 111 105 84 86
-47 103 94 107 118
-48 110 93 108 98
-49 77 89 114 109
-50 110 78 90 116
-51 99 111 113 117
-52 100 113 106 120
-53 93 105 116 96
-54 77 78 101 102
-55 110 113 116 120
-56 114 104 115 109
-57 100 112 85 118
-58 115 96 86 119
-59 95 117 107 120
-60 115 117 119 120
-61 11 1 2 17
-62 1 3 25 16
-63 1 4 17 7
-64 2 24 36 5
-65 1 25 6 10
-66 11 2 4 7
-67 34 3 5 32
-68 35 4 8 31
-69 2 36 15 9
-70 3 16 6 10
-71 22 6 28 8
-72 44 12 7 41
-73 13 3 20 32
-74 23 14 4 31
-75 24 15 5 9
-76 12 14 19 9
-77 49 18 10 54
-78 11 50 19 54
-79 34 13 5 20
-80 22 6 29 21
-81 22 33 7 41
-82 23 35 14 8
-83 13 27 18 21
-84 46 15 26 40
-85 44 57 16 27
-86 46 58 17 28
-87 28 29 8 21
-88 14 39 30 9
-89 49 31 42 10
-90 11 50 32 43
-91 22 33 44 12
-92 26 38 30 20
-93 23 37 48 53
-94 24 35 47 38
-95 35 25 59 38
-96 34 58 17 53
-97 12 39 19 30
-98 13 48 40 21
-99 15 40 51 41
-100 57 36 16 52
-101 18 31 42 54
-102 19 32 43 54
-103 47 37 39 29
-104 33 45 56 43
-105 34 46 28 53
-106 44 36 27 52
-107 24 25 47 59
-108 48 27 18 40
-109 56 49 30 20
-110 55 23 48 50
-111 46 26 51 41
-112 45 57 39 29
-113 55 51 52 42
-114 56 26 38 49
-115 33 56 58 60
-116 55 37 50 53
-117 59 60 51 42
-118 45 57 47 37
-119 45 58 60 43
-120 55 59 60 52
0

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