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On this page are computer-accessible forms for the graph C4[ 120, 24 ] = Pr_40(1,13,17,29).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {2, 3} under the group generated by the following permutations:

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

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