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On this page are computer-accessible forms for the graph C4[ 120, 34 ] = UG(ATD[120,10]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {48, 49} under the group generated by the following permutations:

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

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

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