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On this page are computer-accessible forms for the graph C4[ 120, 41 ] = UG(ATD[120,60]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {90, 91} under the group generated by the following permutations:

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

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

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