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On this page are computer-accessible forms for the graph C4[ 120, 38 ] = UG(ATD[120,55]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {80, 83} under the group generated by the following permutations:

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

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

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