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On this page are computer-accessible forms for the graph C4[ 120, 47 ] = UG(ATD[120,69]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {20, 22} under the group generated by the following permutations:

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

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