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

On this page are computer-accessible forms for the graph C4[ 192, 66 ] = PL(Curtain_24(1,12,5,7,17),[4^24,16^6]).

(I) Following is a form readable by MAGMA:

g:=Graph<192|{ {96, 112}, {70, 102}, {88, 120}, {80, 113}, {85, 116}, {68, 102}, {72, 106}, {84, 113}, {83, 116}, {89, 113}, {70, 111}, {86, 127}, {65, 106}, {76, 103}, {69, 104}, {94, 112}, {75, 100}, {76, 125}, {66, 113}, {92, 111}, {71, 116}, {64, 118}, {66, 116}, {74, 112}, {69, 126}, {67, 127}, {82, 111}, {64, 126}, {81, 111}, {84, 106}, {71, 120}, {56, 120}, {62, 126}, {42, 107}, {48, 115}, {51, 112}, {33, 101}, {39, 99}, {33, 100}, {45, 104}, {38, 99}, {32, 102}, {58, 124}, {42, 109}, {32, 104}, {53, 125}, {36, 109}, {40, 98}, {46, 100}, {34, 110}, {41, 103}, {51, 99}, {54, 103}, {43, 120}, {57, 106}, {57, 109}, {63, 107}, {43, 126}, {60, 100}, {35, 122}, {37, 124}, {55, 109}, {61, 103}, {43, 118}, {47, 114}, {54, 104}, {60, 99}, {61, 98}, {1, 97}, {22, 118}, {8, 105}, {7, 101}, {29, 127}, {17, 115}, {16, 114}, {12, 110}, {5, 97}, {25, 125}, {8, 110}, {9, 97}, {30, 118}, {3, 105}, {25, 115}, {24, 114}, {21, 127}, {6, 108}, {22, 122}, {25, 117}, {1, 108}, {30, 115}, {4, 105}, {2, 108}, {11, 101}, {3, 108}, {29, 114}, {24, 119}, {12, 124}, {18, 98}, {17, 97}, {13, 125}, {6, 119}, {20, 101}, {9, 122}, {10, 121}, {8, 124}, {15, 123}, {19, 102}, {29, 107}, {2, 117}, {14, 121}, {13, 122}, {13, 117}, {26, 98}, {2, 123}, {16, 105}, {1, 123}, {12, 119}, {21, 110}, {14, 117}, {5, 121}, {7, 123}, {4, 121}, {10, 119}, {21, 107}, {33, 161}, {45, 173}, {39, 166}, {6, 132}, {26, 152}, {16, 146}, {3, 128}, {44, 175}, {34, 161}, {20, 151}, {5, 134}, {50, 177}, {52, 183}, {58, 185}, {67, 192}, {4, 128}, {40, 172}, {59, 189}, {17, 150}, {44, 171}, {37, 162}, {71, 192}, {14, 134}, {40, 160}, {62, 182}, {30, 151}, {18, 152}, {49, 187}, {46, 165}, {37, 169}, {56, 180}, {11, 134}, {55, 186}, {10, 132}, {48, 190}, {38, 168}, {19, 157}, {62, 176}, {25, 150}, {46, 161}, {53, 186}, {11, 155}, {19, 131}, {50, 162}, {16, 129}, {23, 134}, {50, 163}, {81, 192}, {18, 128}, {40, 186}, {52, 166}, {62, 172}, {44, 191}, {47, 188}, {52, 167}, {58, 169}, {59, 168}, {83, 192}, {37, 177}, {28, 137}, {45, 184}, {5, 157}, {27, 131}, {6, 158}, {24, 129}, {41, 176}, {53, 172}, {8, 146}, {53, 175}, {38, 189}, {1, 157}, {7, 155}, {59, 167}, {3, 158}, {35, 190}, {61, 160}, {26, 132}, {58, 164}, {22, 137}, {43, 180}, {41, 182}, {31, 128}, {28, 188}, {31, 191}, {51, 147}, {60, 156}, {29, 188}, {54, 148}, {57, 155}, {60, 158}, {19, 176}, {27, 184}, {54, 146}, {61, 153}, {7, 162}, {47, 138}, {22, 179}, {51, 150}, {63, 153}, {46, 137}, {48, 151}, {20, 188}, {44, 132}, {42, 130}, {34, 138}, {9, 160}, {36, 141}, {15, 165}, {35, 137}, {63, 149}, {27, 176}, {49, 154}, {23, 187}, {56, 148}, {15, 162}, {30, 179}, {24, 182}, {11, 164}, {39, 136}, {35, 140}, {13, 189}, {31, 175}, {17, 160}, {26, 171}, {63, 142}, {20, 166}, {45, 159}, {23, 165}, {4, 183}, {42, 153}, {34, 145}, {23, 164}, {50, 129}, {9, 189}, {21, 161}, {15, 187}, {56, 140}, {31, 170}, {38, 147}, {55, 130}, {14, 184}, {33, 151}, {27, 173}, {18, 170}, {28, 165}, {39, 158}, {2, 184}, {28, 166}, {12, 182}, {48, 140}, {49, 141}, {52, 136}, {57, 133}, {59, 135}, {10, 183}, {41, 148}, {32, 157}, {55, 138}, {36, 154}, {47, 145}, {32, 159}, {36, 155}, {49, 142}, {81, 145}, {66, 131}, {93, 156}, {78, 143}, {78, 140}, {79, 141}, {77, 142}, {96, 163}, {91, 159}, {85, 144}, {72, 142}, {77, 138}, {73, 129}, {91, 144}, {94, 149}, {84, 152}, {72, 133}, {92, 145}, {74, 135}, {64, 143}, {71, 136}, {80, 159}, {83, 156}, {88, 136}, {91, 139}, {65, 144}, {65, 147}, {96, 178}, {93, 143}, {87, 133}, {84, 135}, {88, 139}, {89, 141}, {76, 153}, {85, 131}, {93, 139}, {69, 146}, {75, 156}, {82, 133}, {77, 149}, {90, 130}, {65, 152}, {78, 148}, {80, 139}, {70, 154}, {74, 150}, {79, 147}, {83, 143}, {95, 130}, {68, 154}, {89, 135}, {79, 144}, {80, 177}, {91, 185}, {76, 175}, {86, 181}, {87, 179}, {89, 191}, {93, 181}, {67, 170}, {92, 181}, {69, 172}, {68, 174}, {94, 180}, {73, 163}, {75, 167}, {85, 185}, {82, 190}, {67, 174}, {95, 178}, {88, 181}, {73, 164}, {74, 167}, {90, 180}, {73, 185}, {79, 191}, {64, 178}, {90, 168}, {66, 177}, {90, 169}, {72, 187}, {96, 149}, {68, 179}, {95, 168}, {94, 169}, {92, 171}, {77, 186}, {70, 190}, {86, 174}, {87, 174}, {87, 173}, {81, 170}, {75, 183}, {95, 163}, {78, 178}, {86, 171}, {82, 173} }>;

(II) A more general form is to represent the graph as the orbit of {96, 112} under the group generated by the following permutations:

a: (7, 15)(9, 17)(11, 23)(13, 25)(20, 28)(22, 30)(33, 46)(35, 48)(36, 49)(38, 51)(42, 63)(55, 77)(57, 72)(59, 74)(90, 94)(95, 96)(101, 165)(109, 142)(112, 168)(115, 122)(130, 149)(137, 151)(150, 189)(155, 187)
b: (3, 15, 6, 7)(4, 23, 10, 11)(8, 46, 12, 33)(9, 19, 17, 32)(13, 27, 25, 45)(16, 28, 24, 20)(18, 49, 26, 36)(22, 41, 30, 54)(31, 72, 44, 57)(35, 62, 48, 69)(37, 60)(38, 66, 51, 80)(39, 50)(40, 70)(42, 67, 63, 86)(43, 78)(52, 73)(53, 82)(55, 81, 77, 92)(56, 64)(58, 75)(59, 85, 74, 91)(61, 68)(65, 89)(71, 96, 88, 95)(76, 87)(79, 84)(83, 94, 93, 90)(97, 157)(98, 154)(99, 177)(100, 124)(101, 105, 165, 119)(102, 160)(103, 179)(104, 122, 176, 115)(106, 191)(107, 127)(108, 123)(109, 170, 142, 171)(110, 161)(111, 186)(112, 139, 168, 116)(113, 147)(114, 188)(117, 184)(118, 148)(120, 178)(121, 134)(125, 173)(126, 140)(128, 187, 132, 155)(129, 166)(130, 192, 149, 181)(131, 150, 159, 189)(133, 175)(135, 144)(136, 163)(137, 182, 151, 146)(138, 145)(141, 152)(143, 180)(153, 174)(156, 169)(158, 162)(164, 183)(167, 185)(172, 190)
c: (1, 2)(5, 14)(9, 13)(17, 25)(18, 31)(19, 27)(26, 44)(32, 45)(36, 57)(40, 53)(49, 72)(61, 76)(65, 79)(68, 87)(70, 82)(84, 89)(97, 117)(98, 175)(102, 173)(106, 141)(125, 160)(133, 154)(152, 191)(157, 184)
d: (2, 5)(3, 17, 6, 9)(4, 25, 10, 13)(7, 19, 15, 32)(8, 30, 12, 22)(11, 27, 23, 45)(16, 48, 24, 35)(18, 51, 26, 38)(20, 41, 28, 54)(21, 43)(29, 56)(31, 74, 44, 59)(33, 62, 46, 69)(34, 64)(36, 66, 49, 80)(37, 68)(39, 61)(40, 60)(42, 71, 63, 88)(47, 78)(50, 70)(52, 76)(53, 75)(55, 83, 77, 93)(57, 85, 72, 91)(58, 87)(67, 94, 86, 90)(73, 82)(79, 84)(81, 96, 92, 95)(97, 108)(98, 99)(100, 172)(101, 176, 165, 104)(102, 162)(103, 166)(105, 115, 119, 122)(106, 144)(107, 120)(109, 116, 142, 139)(110, 118)(111, 163)(112, 171, 168, 170)(113, 141)(114, 140)(117, 121)(123, 157)(124, 179)(125, 183)(126, 161)(127, 180)(128, 150, 132, 189)(129, 190)(130, 192, 149, 181)(131, 187, 159, 155)(133, 185)(134, 184)(135, 191)(136, 153)(137, 146, 151, 182)(138, 143)(145, 178)(147, 152)(148, 188)(154, 177)(156, 186)(158, 160)(164, 173)(167, 175)(169, 174)
e: (21, 34)(22, 35)(29, 47)(30, 48)(40, 61)(41, 62)(42, 55)(43, 56)(53, 76)(54, 69)(63, 77)(64, 78)(67, 81)(68, 70)(82, 87)(86, 92)(103, 172)(107, 138)(111, 174)(118, 140)(126, 148)(127, 145)(153, 186)(179, 190)
f: (3, 6)(4, 10)(8, 12)(16, 24)(18, 26)(19, 32)(27, 45)(31, 44)(41, 54)(62, 69)(66, 80)(67, 86)(71, 88)(81, 92)(83, 93)(85, 91)(104, 176)(105, 119)(116, 139)(128, 132)(131, 159)(146, 182)(170, 171)(181, 192)
g: (8, 16)(12, 24)(20, 33)(21, 29)(28, 46)(34, 47)(37, 50)(39, 60)(43, 64)(52, 75)(56, 78)(58, 73)(71, 83)(88, 93)(90, 95)(94, 96)(100, 166)(110, 114)(120, 143)(124, 129)(136, 156)(161, 188)(163, 169)(178, 180)
h: (1, 3, 8, 21, 42, 36, 79, 91, 93, 78, 48, 25, 14, 10, 24, 47, 77, 72, 84, 66, 71, 43, 22, 9)(2, 4, 12, 29, 55, 49, 65, 80, 83, 56, 30, 13, 5, 6, 16, 34, 63, 57, 89, 85, 88, 64, 35, 17)(7, 31, 58, 86, 95, 70, 51, 45, 75, 41, 20, 53, 23, 26, 50, 81, 94, 87, 59, 19, 39, 69, 46, 61)(11, 44, 73, 92, 96, 82, 74, 27, 52, 62, 28, 40, 15, 18, 37, 67, 90, 68, 38, 32, 60, 54, 33, 76)(97, 108, 105, 110, 107, 109, 141, 144, 139, 143, 140, 115, 117, 121, 119, 114, 138, 142, 106, 113, 116, 120, 118, 122)(98, 162, 170, 169, 174, 168, 102, 99, 104, 100, 103, 101, 175, 164, 171, 163, 111, 112, 173, 167, 176, 166, 172, 165)(123, 128, 124, 127, 130, 154, 147, 159, 156, 148, 151, 125, 134, 132, 129, 145, 149, 133, 135, 131, 136, 126, 137, 160)(146, 161, 153, 155, 191, 185, 181, 178, 190, 150, 184, 183, 182, 188, 186, 187, 152, 177, 192, 180, 179, 189, 157, 158)

(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[ 192, 66 ]
192
-1 123 157 97 108
-2 123 117 184 108
-3 158 105 128 108
-4 121 105 128 183
-5 121 134 157 97
-6 132 158 108 119
-7 155 101 123 162
-8 110 124 146 105
-9 122 189 160 97
-10 121 132 183 119
-11 155 101 134 164
-12 110 124 182 119
-13 122 189 125 117
-14 121 134 117 184
-15 165 187 123 162
-16 146 114 105 129
-17 115 160 150 97
-18 170 128 152 98
-19 176 102 157 131
-20 166 188 101 151
-21 110 127 161 107
-22 122 179 137 118
-23 165 187 134 164
-24 114 182 129 119
-25 125 115 117 150
-26 132 171 152 98
-27 176 173 184 131
-28 165 166 188 137
-29 188 114 127 107
-30 179 115 118 151
-31 191 170 128 175
-32 102 157 104 159
-33 100 101 161 151
-34 110 145 138 161
-35 122 190 137 140
-36 154 155 141 109
-37 177 124 169 162
-38 99 189 168 147
-39 99 166 136 158
-40 160 172 98 186
-41 176 103 148 182
-42 107 130 109 153
-43 180 126 118 120
-44 132 191 171 175
-45 104 159 173 184
-46 165 100 137 161
-47 188 145 114 138
-48 190 115 140 151
-49 154 187 141 142
-50 177 129 162 163
-51 99 112 147 150
-52 166 167 136 183
-53 125 172 175 186
-54 146 103 104 148
-55 138 130 109 186
-56 180 148 140 120
-57 133 155 106 109
-58 124 169 185 164
-59 167 189 135 168
-60 99 100 156 158
-61 103 160 98 153
-62 176 126 182 172
-63 149 107 142 153
-64 143 178 126 118
-65 144 147 106 152
-66 177 113 116 131
-67 170 192 127 174
-68 154 102 179 174
-69 146 104 126 172
-70 154 111 102 190
-71 136 192 116 120
-72 187 133 106 142
-73 129 163 185 164
-74 112 167 135 150
-75 100 156 167 183
-76 103 125 153 175
-77 138 149 142 186
-78 143 178 148 140
-79 144 147 191 141
-80 177 113 159 139
-81 111 145 170 192
-82 111 133 190 173
-83 143 156 192 116
-84 113 135 106 152
-85 144 116 185 131
-86 181 127 171 174
-87 133 179 173 174
-88 136 181 139 120
-89 113 135 191 141
-90 168 169 180 130
-91 144 159 139 185
-92 111 145 181 171
-93 143 156 181 139
-94 112 169 180 149
-95 178 168 130 163
-96 112 178 149 163
-97 1 5 17 9
-98 26 61 18 40
-99 38 60 39 51
-100 33 46 60 75
-101 11 33 7 20
-102 68 70 19 32
-103 61 41 54 76
-104 45 69 32 54
-105 3 4 16 8
-106 57 72 84 65
-107 29 63 42 21
-108 1 2 3 6
-109 55 57 36 42
-110 12 34 8 21
-111 70 81 92 82
-112 94 51 74 96
-113 66 89 80 84
-114 24 47 16 29
-115 25 48 17 30
-116 66 71 83 85
-117 2 13 14 25
-118 22 30 64 43
-119 12 24 6 10
-120 88 56 71 43
-121 14 4 5 10
-122 22 13 35 9
-123 1 2 15 7
-124 12 58 37 8
-125 13 25 53 76
-126 69 62 64 43
-127 67 29 86 21
-128 3 4 18 31
-129 24 16 50 73
-130 55 90 95 42
-131 66 27 19 85
-132 44 26 6 10
-133 57 82 72 87
-134 11 23 14 5
-135 89 59 84 74
-136 88 71 39 52
-137 22 35 46 28
-138 55 77 34 47
-139 88 80 91 93
-140 56 78 35 48
-141 89 79 36 49
-142 77 49 72 63
-143 78 93 83 64
-144 79 91 85 65
-145 34 47 81 92
-146 69 16 8 54
-147 79 38 51 65
-148 56 78 41 54
-149 77 94 63 96
-150 25 17 51 74
-151 33 48 30 20
-152 26 18 84 65
-153 61 63 42 76
-154 68 36 70 49
-155 11 57 36 7
-156 60 93 83 75
-157 1 5 19 32
-158 3 60 6 39
-159 45 80 91 32
-160 17 61 40 9
-161 33 34 46 21
-162 15 37 50 7
-163 50 73 95 96
-164 11 23 58 73
-165 23 46 15 28
-166 28 39 52 20
-167 59 52 74 75
-168 90 59 38 95
-169 90 58 37 94
-170 67 81 18 31
-171 44 26 92 86
-172 69 40 62 53
-173 45 27 82 87
-174 67 68 86 87
-175 44 31 53 76
-176 27 62 19 41
-177 66 80 37 50
-178 78 95 96 64
-179 22 68 30 87
-180 56 90 94 43
-181 88 92 93 86
-182 12 24 62 41
-183 4 52 75 10
-184 45 2 14 27
-185 58 91 73 85
-186 55 77 40 53
-187 23 15 49 72
-188 47 28 29 20
-189 13 59 38 9
-190 35 48 70 82
-191 44 89 79 31
-192 67 81 71 83
0

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