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On this page are computer-accessible forms for the graph C4[ 120, 42 ] = UG(ATD[120,62]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {65, 67} under the group generated by the following permutations:

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

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