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On this page are computer-accessible forms for the graph C4[ 120, 43 ] = UG(ATD[120,63]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {40, 41} under the group generated by the following permutations:

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

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

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