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

On this page are computer-accessible forms for the graph C4[ 162, 2 ] = DW(54,3).

(I) Following is a form readable by MAGMA:

g:=Graph<162|{ {54, 55}, {108, 109}, {2, 55}, {8, 61}, {10, 63}, {64, 117}, {66, 119}, {72, 125}, {74, 127}, {8, 63}, {9, 62}, {64, 119}, {65, 118}, {72, 127}, {73, 126}, {1, 56}, {3, 58}, {5, 60}, {7, 62}, {65, 120}, {67, 122}, {69, 124}, {71, 126}, {2, 57}, {3, 56}, {6, 61}, {7, 60}, {66, 121}, {67, 120}, {70, 125}, {71, 124}, {4, 57}, {6, 59}, {68, 121}, {70, 123}, {4, 59}, {5, 58}, {68, 123}, {69, 122}, {9, 64}, {43, 98}, {41, 96}, {31, 86}, {29, 84}, {11, 66}, {13, 68}, {15, 70}, {25, 80}, {27, 82}, {45, 100}, {47, 102}, {57, 112}, {59, 114}, {61, 116}, {63, 118}, {10, 65}, {43, 96}, {42, 97}, {31, 84}, {30, 85}, {11, 64}, {14, 69}, {15, 68}, {26, 81}, {27, 80}, {46, 101}, {47, 100}, {58, 113}, {59, 112}, {62, 117}, {63, 116}, {12, 65}, {30, 83}, {28, 81}, {14, 67}, {44, 97}, {46, 99}, {60, 113}, {62, 115}, {12, 67}, {29, 82}, {28, 83}, {13, 66}, {44, 99}, {45, 98}, {60, 115}, {61, 114}, {16, 69}, {18, 71}, {24, 77}, {26, 79}, {48, 101}, {50, 103}, {56, 109}, {58, 111}, {16, 71}, {17, 70}, {24, 79}, {25, 78}, {48, 103}, {49, 102}, {56, 111}, {57, 110}, {17, 72}, {19, 74}, {21, 76}, {23, 78}, {49, 104}, {51, 106}, {53, 108}, {55, 110}, {18, 73}, {19, 72}, {22, 77}, {23, 76}, {50, 105}, {51, 104}, {54, 109}, {20, 73}, {22, 75}, {52, 105}, {54, 107}, {20, 75}, {21, 74}, {52, 107}, {53, 106}, {4, 111}, {16, 123}, {20, 127}, {1, 108}, {2, 111}, {3, 110}, {16, 125}, {17, 124}, {18, 127}, {19, 126}, {1, 110}, {2, 109}, {17, 126}, {18, 125}, {3, 112}, {7, 116}, {11, 120}, {15, 124}, {4, 113}, {42, 95}, {40, 93}, {34, 87}, {32, 85}, {5, 112}, {6, 115}, {7, 114}, {12, 121}, {13, 120}, {14, 123}, {15, 122}, {5, 114}, {41, 94}, {40, 95}, {33, 86}, {32, 87}, {6, 113}, {13, 122}, {14, 121}, {33, 88}, {39, 94}, {37, 92}, {35, 90}, {8, 115}, {39, 92}, {38, 93}, {35, 88}, {34, 89}, {12, 119}, {8, 117}, {38, 91}, {36, 89}, {9, 116}, {10, 119}, {11, 118}, {9, 118}, {37, 90}, {36, 91}, {10, 117}, {19, 128}, {31, 140}, {27, 136}, {23, 132}, {51, 160}, {20, 129}, {31, 138}, {30, 139}, {29, 136}, {28, 137}, {21, 128}, {22, 131}, {23, 130}, {52, 161}, {53, 160}, {55, 162}, {21, 130}, {30, 137}, {29, 138}, {22, 129}, {53, 162}, {54, 161}, {24, 131}, {28, 135}, {24, 133}, {27, 134}, {25, 132}, {26, 135}, {25, 134}, {26, 133}, {1, 162}, {32, 139}, {36, 143}, {48, 155}, {52, 159}, {32, 141}, {35, 142}, {34, 143}, {33, 140}, {48, 157}, {49, 156}, {50, 159}, {51, 158}, {33, 142}, {34, 141}, {49, 158}, {50, 157}, {35, 144}, {43, 152}, {39, 148}, {47, 156}, {36, 145}, {39, 146}, {38, 147}, {37, 144}, {44, 153}, {45, 152}, {46, 155}, {47, 154}, {37, 146}, {38, 145}, {45, 154}, {46, 153}, {40, 147}, {44, 151}, {40, 149}, {43, 150}, {42, 151}, {41, 148}, {41, 150}, {42, 149}, {73, 128}, {107, 162}, {105, 160}, {95, 150}, {93, 148}, {91, 146}, {89, 144}, {75, 130}, {77, 132}, {79, 134}, {74, 129}, {107, 160}, {106, 161}, {95, 148}, {94, 149}, {91, 144}, {90, 145}, {75, 128}, {78, 133}, {79, 132}, {76, 129}, {108, 161}, {94, 147}, {92, 145}, {78, 131}, {76, 131}, {93, 146}, {92, 147}, {77, 130}, {80, 133}, {90, 143}, {82, 135}, {88, 141}, {80, 135}, {89, 142}, {88, 143}, {81, 134}, {81, 136}, {83, 138}, {85, 140}, {87, 142}, {82, 137}, {83, 136}, {86, 141}, {87, 140}, {84, 137}, {86, 139}, {84, 139}, {85, 138}, {96, 149}, {106, 159}, {104, 157}, {98, 151}, {96, 151}, {105, 158}, {104, 159}, {97, 150}, {97, 152}, {103, 158}, {101, 156}, {99, 154}, {98, 153}, {103, 156}, {102, 157}, {99, 152}, {100, 153}, {102, 155}, {100, 155}, {101, 154} }>;

(II) A more general form is to represent the graph as the orbit of {54, 55} under the group generated by the following permutations:

a: (55, 109)(56, 110)(57, 111)(58, 112)(59, 113)(60, 114)(61, 115)(62, 116)(63, 117)(64, 118)(65, 119)(66, 120)(67, 121)(68, 122)(69, 123)(70, 124)(71, 125)(72, 126)(73, 127)(74, 128)(75, 129)(76, 130)(77, 131)(78, 132)(79, 133)(80, 134)(81, 135)(82, 136)(83, 137)(84, 138)(85, 139)(86, 140)(87, 141)(88, 142)(89, 143)(90, 144)(91, 145)(92, 146)(93, 147)(94, 148)(95, 149)(96, 150)(97, 151)(98, 152)(99, 153)(100, 154)(101, 155)(102, 156)(103, 157)(104, 158)(105, 159)(106, 160)(107, 161)(108, 162)
b: (2, 54)(3, 53)(4, 52)(5, 51)(6, 50)(7, 49)(8, 48)(9, 47)(10, 46)(11, 45)(12, 44)(13, 43)(14, 42)(15, 41)(16, 40)(17, 39)(18, 38)(19, 37)(20, 36)(21, 35)(22, 34)(23, 33)(24, 32)(25, 31)(26, 30)(27, 29)(56, 108)(57, 107)(58, 106)(59, 105)(60, 104)(61, 103)(62, 102)(63, 101)(64, 100)(65, 99)(66, 98)(67, 97)(68, 96)(69, 95)(70, 94)(71, 93)(72, 92)(73, 91)(74, 90)(75, 89)(76, 88)(77, 87)(78, 86)(79, 85)(80, 84)(81, 83)(110, 162)(111, 161)(112, 160)(113, 159)(114, 158)(115, 157)(116, 156)(117, 155)(118, 154)(119, 153)(120, 152)(121, 151)(122, 150)(123, 149)(124, 148)(125, 147)(126, 146)(127, 145)(128, 144)(129, 143)(130, 142)(131, 141)(132, 140)(133, 139)(134, 138)(135, 137)
c: (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
d: (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54)(55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108)(109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162)

(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[ 162, 2 ]
162
-1 110 56 162 108
-2 55 111 57 109
-3 110 56 112 58
-4 111 57 113 59
-5 112 58 114 60
-6 113 59 115 61
-7 114 60 116 62
-8 115 61 117 63
-9 116 62 118 64
-10 117 63 119 65
-11 66 118 64 120
-12 121 67 119 65
-13 66 122 68 120
-14 121 67 123 69
-15 122 68 124 70
-16 123 69 125 71
-17 124 70 126 72
-18 125 71 127 73
-19 126 72 128 74
-20 127 73 129 75
-21 128 74 130 76
-22 77 129 75 131
-23 132 78 130 76
-24 77 133 79 131
-25 132 78 134 80
-26 133 79 135 81
-27 134 80 136 82
-28 135 81 137 83
-29 136 82 138 84
-30 137 83 139 85
-31 138 84 140 86
-32 139 85 141 87
-33 88 140 86 142
-34 143 89 141 87
-35 88 144 90 142
-36 143 89 145 91
-37 144 90 146 92
-38 145 91 147 93
-39 146 92 148 94
-40 147 93 149 95
-41 148 94 150 96
-42 149 95 151 97
-43 150 96 152 98
-44 99 151 97 153
-45 154 100 152 98
-46 99 155 101 153
-47 154 100 156 102
-48 155 101 157 103
-49 156 102 158 104
-50 157 103 159 105
-51 158 104 160 106
-52 159 105 161 107
-53 160 106 162 108
-54 55 161 107 109
-55 110 2 162 54
-56 1 111 3 109
-57 110 2 112 4
-58 111 3 113 5
-59 112 4 114 6
-60 113 5 115 7
-61 114 6 116 8
-62 115 7 117 9
-63 116 8 118 10
-64 11 117 9 119
-65 12 118 10 120
-66 11 121 13 119
-67 12 122 14 120
-68 121 13 123 15
-69 122 14 124 16
-70 123 15 125 17
-71 124 16 126 18
-72 125 17 127 19
-73 126 18 128 20
-74 127 19 129 21
-75 22 128 20 130
-76 23 129 21 131
-77 22 132 24 130
-78 23 133 25 131
-79 132 24 134 26
-80 133 25 135 27
-81 134 26 136 28
-82 135 27 137 29
-83 136 28 138 30
-84 137 29 139 31
-85 138 30 140 32
-86 33 139 31 141
-87 34 140 32 142
-88 33 143 35 141
-89 34 144 36 142
-90 143 35 145 37
-91 144 36 146 38
-92 145 37 147 39
-93 146 38 148 40
-94 147 39 149 41
-95 148 40 150 42
-96 149 41 151 43
-97 44 150 42 152
-98 45 151 43 153
-99 44 154 46 152
-100 45 155 47 153
-101 154 46 156 48
-102 155 47 157 49
-103 156 48 158 50
-104 157 49 159 51
-105 158 50 160 52
-106 159 51 161 53
-107 160 52 162 54
-108 1 161 53 109
-109 56 2 108 54
-110 55 1 57 3
-111 56 2 58 4
-112 57 3 59 5
-113 58 4 60 6
-114 59 5 61 7
-115 60 6 62 8
-116 61 7 63 9
-117 62 8 64 10
-118 11 63 9 65
-119 66 12 64 10
-120 11 67 13 65
-121 66 12 68 14
-122 67 13 69 15
-123 68 14 70 16
-124 69 15 71 17
-125 70 16 72 18
-126 71 17 73 19
-127 72 18 74 20
-128 73 19 75 21
-129 22 74 20 76
-130 77 23 75 21
-131 22 78 24 76
-132 77 23 79 25
-133 78 24 80 26
-134 79 25 81 27
-135 80 26 82 28
-136 81 27 83 29
-137 82 28 84 30
-138 83 29 85 31
-139 84 30 86 32
-140 33 85 31 87
-141 88 34 86 32
-142 33 89 35 87
-143 88 34 90 36
-144 89 35 91 37
-145 90 36 92 38
-146 91 37 93 39
-147 92 38 94 40
-148 93 39 95 41
-149 94 40 96 42
-150 95 41 97 43
-151 44 96 42 98
-152 99 45 97 43
-153 44 100 46 98
-154 99 45 101 47
-155 100 46 102 48
-156 101 47 103 49
-157 102 48 104 50
-158 103 49 105 51
-159 104 50 106 52
-160 105 51 107 53
-161 106 52 108 54
-162 55 1 107 53
0

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