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On this page are computer-accessible forms for the graph C4[ 120, 14 ] = PS(8,15;2).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {29, 31} under the group generated by the following permutations:

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

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

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