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

On this page are computer-accessible forms for the graph C4[ 120, 46 ] = UG(ATD[120,67]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {8, 11} under the group generated by the following permutations:

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

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

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