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On this page are computer-accessible forms for the graph C4[ 120, 69 ] = BGCG(UG(ATD[60,19]);K1;{1,4}).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {59, 61} under the group generated by the following permutations:

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

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

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