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On this page are computer-accessible forms for the graph C4[ 120, 15 ] = PS(4,60;7).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {57, 61} under the group generated by the following permutations:

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

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

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