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On this page are computer-accessible forms for the graph C4[ 120, 25 ] = Pr_40(1,33,37,29).

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

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

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