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

On this page are computer-accessible forms for the graph C4[ 144, 43 ] = UG(ATD[144,82]).

(I) Following is a form readable by MAGMA:

g:=Graph<144|{ {34, 35}, {142, 143}, {136, 137}, {120, 121}, {108, 109}, {56, 57}, {36, 37}, {82, 83}, {86, 87}, {64, 66}, {1, 2}, {65, 66}, {42, 46}, {1, 4}, {17, 20}, {3, 6}, {64, 69}, {67, 70}, {89, 92}, {8, 14}, {139, 141}, {2, 5}, {123, 124}, {8, 15}, {67, 68}, {96, 103}, {104, 111}, {105, 110}, {34, 42}, {52, 60}, {51, 59}, {98, 106}, {3, 10}, {133, 140}, {55, 62}, {7, 14}, {5, 12}, {103, 110}, {35, 41}, {50, 56}, {65, 75}, {98, 104}, {2, 9}, {6, 13}, {82, 94}, {119, 123}, {18, 31}, {130, 143}, {81, 92}, {66, 76}, {135, 137}, {4, 11}, {113, 126}, {39, 40}, {17, 30}, {85, 90}, {69, 85}, {128, 144}, {5, 20}, {47, 62}, {7, 21}, {130, 144}, {15, 29}, {14, 28}, {11, 25}, {10, 24}, {100, 119}, {6, 18}, {107, 127}, {12, 26}, {13, 27}, {78, 88}, {4, 19}, {99, 116}, {8, 16}, {67, 91}, {77, 84}, {38, 60}, {107, 112}, {38, 58}, {36, 57}, {101, 120}, {8, 22}, {37, 59}, {9, 23}, {1, 30}, {106, 117}, {74, 107}, {82, 115}, {10, 40}, {31, 61}, {11, 41}, {95, 125}, {1, 34}, {29, 62}, {71, 100}, {71, 99}, {79, 107}, {90, 126}, {91, 127}, {71, 98}, {12, 42}, {23, 49}, {22, 48}, {88, 126}, {31, 56}, {74, 109}, {13, 37}, {25, 49}, {72, 96}, {77, 101}, {15, 38}, {30, 55}, {28, 53}, {26, 51}, {24, 50}, {76, 102}, {29, 54}, {66, 105}, {86, 122}, {81, 124}, {9, 39}, {21, 59}, {15, 33}, {83, 125}, {27, 52}, {30, 49}, {89, 118}, {90, 117}, {86, 102}, {87, 103}, {18, 32}, {25, 43}, {72, 122}, {68, 119}, {79, 123}, {80, 101}, {87, 98}, {64, 118}, {84, 99}, {88, 111}, {76, 116}, {89, 97}, {78, 119}, {93, 100}, {3, 57}, {26, 32}, {21, 47}, {16, 43}, {2, 63}, {19, 46}, {17, 44}, {69, 120}, {81, 108}, {18, 45}, {70, 121}, {92, 99}, {19, 83}, {7, 70}, {3, 64}, {48, 115}, {48, 117}, {54, 112}, {60, 122}, {58, 113}, {61, 115}, {54, 102}, {32, 113}, {24, 76}, {41, 127}, {26, 77}, {28, 68}, {46, 118}, {31, 71}, {42, 115}, {57, 96}, {46, 116}, {55, 109}, {19, 72}, {58, 97}, {53, 110}, {52, 111}, {41, 114}, {29, 70}, {22, 74}, {23, 75}, {20, 73}, {51, 110}, {27, 69}, {39, 121}, {58, 101}, {16, 112}, {63, 95}, {4, 102}, {5, 103}, {22, 114}, {45, 73}, {45, 74}, {56, 95}, {27, 114}, {55, 94}, {53, 92}, {51, 90}, {48, 89}, {54, 93}, {40, 68}, {9, 100}, {34, 79}, {6, 104}, {47, 65}, {7, 105}, {14, 97}, {52, 91}, {44, 67}, {33, 78}, {63, 77}, {11, 120}, {39, 84}, {35, 80}, {59, 72}, {36, 80}, {36, 81}, {45, 88}, {38, 83}, {37, 82}, {60, 75}, {20, 108}, {16, 106}, {44, 87}, {53, 73}, {40, 85}, {50, 79}, {43, 86}, {43, 85}, {63, 65}, {49, 78}, {12, 134}, {13, 135}, {10, 134}, {23, 133}, {21, 129}, {24, 140}, {25, 129}, {17, 136}, {28, 135}, {47, 141}, {44, 143}, {33, 132}, {35, 132}, {32, 139}, {33, 138}, {62, 144}, {61, 136}, {61, 138}, {50, 143}, {80, 144}, {73, 140}, {75, 142}, {91, 137}, {95, 139}, {84, 131}, {93, 138}, {94, 137}, {93, 128}, {94, 129}, {96, 130}, {97, 131}, {106, 136}, {109, 139}, {111, 133}, {104, 131}, {105, 133}, {108, 128}, {127, 142}, {117, 134}, {125, 142}, {116, 128}, {113, 132}, {125, 138}, {124, 132}, {122, 131}, {118, 141}, {124, 135}, {121, 130}, {112, 140}, {123, 134}, {114, 141}, {126, 129} }>;

(II) A more general form is to represent the graph as the orbit of {34, 35} under the group generated by the following permutations:

a: (1, 2)(3, 15)(4, 63)(5, 30)(6, 8)(7, 37)(9, 34)(10, 33)(11, 77)(12, 49)(13, 14)(16, 18)(17, 20)(19, 65)(21, 59)(22, 104)(23, 42)(24, 138)(25, 26)(27, 97)(28, 135)(29, 57)(31, 112)(32, 43)(35, 39)(36, 70)(38, 64)(40, 132)(41, 84)(44, 108)(45, 106)(46, 75)(47, 72)(48, 111)(50, 93)(51, 129)(52, 89)(53, 137)(54, 56)(55, 103)(58, 69)(60, 118)(61, 140)(62, 96)(66, 83)(67, 81)(68, 124)(71, 107)(73, 136)(74, 98)(76, 125)(78, 134)(79, 100)(80, 121)(82, 105)(85, 113)(86, 139)(87, 109)(88, 117)(90, 126)(91, 92)(94, 110)(95, 102)(99, 127)(101, 120)(114, 131)(115, 133)(116, 142)(119, 123)(122, 141)(128, 143)(130, 144)
b: (2, 4)(3, 7)(5, 11)(6, 14)(8, 18)(9, 19)(10, 21)(12, 25)(13, 28)(15, 31)(16, 32)(17, 35)(20, 41)(22, 45)(23, 46)(24, 47)(26, 43)(27, 53)(29, 56)(30, 34)(33, 61)(36, 67)(37, 68)(38, 71)(39, 72)(40, 59)(42, 49)(44, 80)(48, 88)(50, 62)(51, 85)(52, 92)(54, 95)(55, 79)(57, 70)(58, 98)(60, 99)(63, 102)(64, 105)(65, 76)(69, 110)(73, 114)(75, 116)(77, 86)(78, 115)(81, 91)(82, 119)(83, 100)(84, 122)(87, 101)(89, 111)(93, 125)(94, 123)(96, 121)(97, 104)(103, 120)(106, 113)(107, 109)(108, 127)(112, 139)(117, 126)(118, 133)(124, 137)(128, 142)(129, 134)(132, 136)(140, 141)(143, 144)
c: (2, 30)(3, 8)(4, 34)(5, 49)(6, 14)(7, 18)(9, 17)(10, 16)(11, 42)(12, 25)(13, 97)(15, 57)(19, 35)(20, 23)(21, 32)(22, 64)(24, 112)(26, 129)(27, 89)(28, 104)(29, 56)(31, 70)(33, 96)(36, 38)(37, 58)(39, 136)(40, 106)(41, 46)(43, 134)(44, 100)(45, 105)(47, 139)(48, 69)(50, 54)(51, 126)(52, 92)(53, 111)(55, 63)(59, 113)(60, 81)(61, 121)(62, 95)(65, 109)(66, 74)(67, 71)(68, 98)(72, 132)(73, 133)(75, 108)(76, 107)(77, 94)(78, 103)(79, 102)(80, 83)(82, 101)(84, 137)(85, 117)(86, 123)(87, 119)(88, 110)(91, 99)(93, 143)(114, 118)(115, 120)(116, 127)(122, 124)(125, 144)(128, 142)(130, 138)(131, 135)

(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[ 144, 43 ]
144
-1 34 2 4 30
-2 1 5 63 9
-3 57 6 64 10
-4 11 1 102 19
-5 12 2 103 20
-6 13 3 104 18
-7 14 70 105 21
-8 22 14 15 16
-9 23 100 2 39
-10 24 134 3 40
-11 25 4 41 120
-12 134 26 5 42
-13 135 37 27 6
-14 28 7 8 97
-15 33 38 29 8
-16 112 106 8 43
-17 44 136 30 20
-18 45 6 31 32
-19 46 4 72 83
-20 5 17 73 108
-21 47 59 7 129
-22 48 114 8 74
-23 133 49 9 75
-24 50 140 10 76
-25 11 49 129 43
-26 77 12 51 32
-27 13 69 114 52
-28 68 14 135 53
-29 15 70 62 54
-30 55 1 49 17
-31 56 71 61 18
-32 113 26 18 139
-33 132 78 15 138
-34 1 35 79 42
-35 132 34 80 41
-36 57 80 37 81
-37 13 36 59 82
-38 58 15 60 83
-39 121 40 84 9
-40 68 39 85 10
-41 11 35 114 127
-42 12 34 46 115
-43 25 16 85 86
-44 143 67 17 87
-45 88 18 73 74
-46 116 19 118 42
-47 62 141 21 65
-48 22 89 115 117
-49 23 78 25 30
-50 143 56 24 79
-51 110 90 26 59
-52 111 91 27 60
-53 110 92 28 73
-54 112 102 93 29
-55 94 62 30 109
-56 57 50 95 31
-57 56 3 36 96
-58 101 113 38 97
-59 37 72 51 21
-60 122 38 52 75
-61 136 115 138 31
-62 55 144 47 29
-63 77 2 95 65
-64 66 3 69 118
-65 66 47 63 75
-66 105 64 65 76
-67 44 68 91 70
-68 67 28 40 119
-69 27 85 64 120
-70 121 67 7 29
-71 99 100 31 98
-72 122 59 19 96
-73 45 140 20 53
-74 22 45 107 109
-75 23 60 65 142
-76 66 24 102 116
-77 101 26 84 63
-78 33 88 49 119
-79 34 123 50 107
-80 144 35 101 36
-81 36 124 92 108
-82 37 115 83 94
-83 125 38 82 19
-84 77 99 39 131
-85 90 69 40 43
-86 122 102 43 87
-87 44 103 86 98
-88 45 78 111 126
-89 48 92 118 97
-90 126 51 117 85
-91 67 137 127 52
-92 99 89 81 53
-93 100 138 128 54
-94 55 82 137 129
-95 56 125 139 63
-96 57 103 72 130
-97 89 14 58 131
-98 71 104 106 87
-99 92 71 116 84
-100 71 93 9 119
-101 77 58 80 120
-102 4 86 54 76
-103 110 5 96 87
-104 111 6 98 131
-105 66 110 133 7
-106 136 16 117 98
-107 79 112 127 74
-108 81 128 20 109
-109 55 139 74 108
-110 103 105 51 53
-111 88 133 104 52
-112 16 107 140 54
-113 132 58 126 32
-114 22 27 41 141
-115 48 82 61 42
-116 99 46 128 76
-117 90 134 48 106
-118 89 46 64 141
-119 78 100 68 123
-120 11 121 101 69
-121 70 39 130 120
-122 60 72 86 131
-123 79 134 124 119
-124 132 123 135 81
-125 83 138 95 142
-126 88 90 113 129
-127 91 41 107 142
-128 144 93 116 108
-129 25 126 94 21
-130 121 143 144 96
-131 122 104 84 97
-132 33 35 113 124
-133 23 111 105 140
-134 12 123 117 10
-135 13 124 137 28
-136 137 17 61 106
-137 91 135 136 94
-138 33 125 93 61
-139 95 141 32 109
-140 133 24 112 73
-141 47 114 139 118
-142 143 125 127 75
-143 44 50 130 142
-144 80 62 128 130
0

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