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On this page are computer-accessible forms for the graph C4[ 120, 45 ] = UG(ATD[120,65]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {70, 71} under the group generated by the following permutations:

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

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

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