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

On this page are computer-accessible forms for the graph C4[ 160, 49 ] = UG(ATD[160,19]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {80, 84} under the group generated by the following permutations:

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

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

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