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On this page are computer-accessible forms for the graph C4[ 120, 13 ] = PS(10,24;7).

(I) Following is a form readable by MAGMA:

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

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

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

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