[Home] [Table] [Glossary] [Families]

On this page are computer-accessible forms for the graph C4[ 120, 44 ] = UG(ATD[120,64]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {69, 71} under the group generated by the following permutations:

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

**************

&Graph
C4[ 120, 44 ]
120
-1 11 16 6 21
-2 23 49 18 76
-3 13 68 29 8
-4 77 60 50 43
-5 45 58 70 30
-6 11 1 36 26
-7 38 28 51 64
-8 34 13 3 48
-9 23 52 85 65
-10 35 25 50 83
-11 1 6 41 31
-12 33 69 71 43
-13 3 8 19 63
-14 90 70 38 72
-15 88 40 20 65
-16 1 46 51 21
-17 36 48 81 53
-18 33 23 2 28
-19 13 37 83 63
-20 35 15 30 65
-21 1 56 16 32
-22 34 79 58 91
-23 2 18 85 9
-24 77 100 92 53
-25 55 83 10 98
-26 36 71 6 61
-27 73 41 63 86
-28 33 38 7 18
-29 88 68 3 42
-30 35 70 5 20
-31 11 66 41 76
-32 56 78 68 21
-33 12 28 18 43
-34 22 58 48 8
-35 50 30 20 10
-36 26 81 6 17
-37 101 83 19 54
-38 90 14 28 7
-39 102 115 73 52
-40 88 113 15 75
-41 11 27 31 86
-42 88 29 106 74
-43 33 12 4 60
-44 78 72 107 120
-45 58 80 5 118
-46 91 16 51 84
-47 56 93 85 96
-48 34 17 8 53
-49 2 57 76 98
-50 77 35 4 10
-51 46 16 7 64
-52 102 39 9 65
-53 100 24 48 17
-54 101 112 37 93
-55 111 25 95 98
-56 47 96 21 32
-57 49 94 98 120
-58 22 34 45 5
-59 66 92 106 119
-60 67 4 108 43
-61 89 101 26 71
-62 111 90 81 103
-63 13 27 73 19
-64 113 82 7 51
-65 15 52 9 20
-66 59 106 31 76
-67 60 116 86 108
-68 78 3 29 32
-69 12 71 118 87
-70 14 5 72 30
-71 12 69 26 61
-72 44 14 70 107
-73 27 115 39 63
-74 103 106 117 42
-75 113 105 116 40
-76 66 2 49 31
-77 24 4 92 50
-78 44 68 32 120
-79 22 91 97 108
-80 110 45 96 118
-81 111 36 17 62
-82 100 113 104 64
-83 25 37 19 10
-84 99 46 91 102
-85 23 47 93 9
-86 67 27 116 41
-87 69 115 118 109
-88 15 29 40 42
-89 101 114 61 107
-90 14 103 38 62
-91 22 46 79 84
-92 77 24 59 119
-93 112 47 85 54
-94 57 104 109 120
-95 55 110 111 105
-96 110 56 47 80
-97 79 112 117 108
-98 55 57 25 49
-99 102 114 84 119
-100 24 82 104 53
-101 89 37 61 54
-102 99 39 84 52
-103 90 62 117 74
-104 100 82 94 109
-105 110 116 95 75
-106 66 59 74 42
-107 44 89 114 72
-108 67 79 60 97
-109 104 115 94 87
-110 80 105 95 96
-111 55 81 62 95
-112 93 117 97 54
-113 82 40 64 75
-114 99 89 107 119
-115 39 73 87 109
-116 67 105 75 86
-117 112 103 74 97
-118 45 69 80 87
-119 99 59 92 114
-120 44 78 57 94
0

**************