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

On this page are computer-accessible forms for the graph C4[ 192, 64 ] = PL(Curtain_24(1,12,2,13,14),[4^24,8^12]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {69, 100} under the group generated by the following permutations:

a: (56, 68)(64, 76)(70, 82)(72, 80)(78, 90)(84, 87)(86, 92)(94, 95)(103, 165)(116, 141)(128, 148)(175, 180)
b: (37, 50)(45, 59)(53, 65)(55, 63)(61, 73)(67, 75)(69, 77)(81, 89)(100, 172)(110, 142)(125, 151)(158, 182)
c: (2, 4)(3, 9)(5, 14)(6, 17)(7, 30)(8, 48)(11, 25)(12, 33)(13, 58)(15, 19)(16, 35)(18, 21, 29, 32)(20, 54, 34, 46)(22, 23)(24, 44)(26, 28, 40, 42)(27, 62, 43, 38)(31, 66, 47, 60)(36, 52)(37, 56, 50, 68)(41, 74, 57, 51)(45, 64, 59, 76)(53, 78, 73, 82)(55, 84, 75, 80)(61, 70, 65, 90)(63, 87, 67, 72)(69, 94, 89, 92)(71, 79, 88, 83)(77, 95, 81, 86)(85, 91, 96, 93)(97, 109)(98, 178, 133, 167)(99, 101, 171, 169)(100, 165, 172, 103)(102, 160)(104, 126, 156, 112)(105, 170, 184, 145)(106, 188)(107, 144, 140, 113)(108, 124, 161, 120)(110, 116, 142, 141)(111, 192)(114, 164, 132, 129)(115, 137)(117, 121)(118, 153)(119, 186, 174, 189)(122, 131)(123, 152)(125, 175, 151, 180)(127, 146, 149, 181)(128, 182, 148, 158)(130, 176, 157, 173)(134, 163)(135, 183)(136, 187)(138, 155, 177, 143)(139, 154, 179, 168)(147, 191)(150, 159)(162, 185)(166, 190)
d: (1, 3)(2, 6)(4, 5)(7, 36, 15, 49)(8, 30, 29, 17, 16, 19, 18, 9)(10, 11)(12, 39, 23, 52)(13, 33, 40, 25, 24, 22, 26, 14)(20, 35, 47, 42, 27, 44, 57, 32)(21, 31, 48, 34, 28, 41, 58, 43)(37, 38, 45, 46)(50, 51, 59, 60)(53, 62)(54, 61)(55, 68)(56, 67)(63, 76)(64, 75)(65, 74)(66, 73)(69, 82)(70, 81)(71, 80)(72, 79)(77, 90)(78, 89)(83, 87)(84, 88)(85, 92)(86, 91)(93, 95)(94, 96)(97, 106, 152, 131)(98, 179, 145, 104)(99, 103)(100, 167)(101, 169)(102, 168, 115, 114, 162, 189, 122, 112)(105, 172)(107, 141)(108, 129, 177, 139)(109, 121)(110, 120)(111, 191, 135, 185)(116, 140)(117, 118, 187, 137)(119, 138, 156, 161)(123, 183)(124, 158)(125, 178)(126, 147, 186, 153, 132, 134, 154, 188)(127, 173)(128, 181)(130, 180)(133, 164, 170, 174)(136, 159)(142, 143)(146, 148)(149, 176)(150, 160, 190, 163)(151, 184)(155, 182)(157, 175)(165, 171)
e: (19, 30)(21, 35, 32, 48)(22, 33)(28, 44, 42, 58)(38, 74, 60, 54)(46, 66, 51, 62)(53, 65)(55, 81, 67, 69)(56, 70, 76, 90)(61, 73)(63, 89, 75, 77)(64, 78, 68, 82)(71, 85, 88, 96)(72, 95, 87, 86)(79, 91, 83, 93)(80, 94, 84, 92)(99, 107, 171, 140)(100, 182)(101, 144, 169, 113)(102, 134)(103, 116, 165, 141)(104, 119, 164, 139)(105, 143, 167, 120)(110, 125)(115, 153)(122, 188)(124, 178, 155, 184)(127, 173, 149, 176)(128, 180, 148, 175)(129, 174, 156, 179)(130, 181, 157, 146)(142, 151)(147, 162)(158, 172)
f: (19, 30)(21, 35, 32, 48)(22, 33)(28, 44, 42, 58)(38, 62, 46, 54)(51, 74, 60, 66)(70, 78)(82, 90)(102, 134)(104, 119, 164, 139)(105, 184)(115, 153)(120, 124)(122, 188)(129, 174, 156, 179)(143, 155)(147, 162)(167, 178)
g: (8, 16)(13, 24)(18, 29)(20, 27)(26, 40)(31, 41)(34, 43)(47, 57)(112, 114)(126, 132)(154, 186)(168, 189)
h: (7, 15)(8, 18)(12, 23)(13, 26)(16, 29)(24, 40)(34, 43)(47, 57)(106, 131)(112, 154)(114, 186)(118, 137)(126, 189)(132, 168)(160, 163)(185, 191)
m: (20, 31)(27, 41)(34, 47)(37, 45)(43, 57)(50, 59)(53, 61)(65, 73)(98, 170)(108, 138)(133, 145)(161, 177)
n1: (53, 65)(55, 69)(61, 73)(63, 77)(67, 81)(75, 89)(85, 91)(93, 96)(99, 130)(100, 182)(107, 146)(110, 125)(140, 181)(142, 151)(157, 171)(158, 172)
a1: (9, 17)(14, 25)(19, 30)(21, 28)(22, 33)(32, 42)(35, 44)(48, 58)(102, 162)(115, 122)(134, 147)(153, 188)
b1: (3, 7)(5, 12)(6, 15)(11, 23)(18, 26)(29, 40)(36, 39)(49, 52)(106, 160)(109, 123)(118, 185)(121, 136)(131, 191)(137, 163)(159, 166)(183, 192)
c1: (18, 29)(20, 34)(26, 40)(27, 43)(31, 47)(41, 57)(53, 61)(65, 73)(98, 133)(108, 161)(112, 126)(114, 132)(138, 177)(145, 170)(154, 168)(186, 189)
d1: (71, 83)(72, 84)(79, 88)(80, 87)(85, 93)(86, 94)(91, 96)(92, 95)(101, 169)(113, 144)(127, 149)(173, 176)
e1: (21, 32)(28, 42)(35, 48)(38, 46)(44, 58)(51, 60)(54, 62)(66, 74)(104, 164)(119, 139)(129, 156)(174, 179)
f1: (19, 30)(21, 35, 32, 48)(22, 33)(28, 44, 42, 58)(38, 74, 60, 54)(46, 66, 51, 62)(56, 70, 76, 90)(64, 78, 68, 82)(72, 92, 80, 86)(84, 95, 87, 94)(85, 93)(91, 96)(101, 176)(102, 134)(103, 116, 165, 141)(104, 119, 164, 139)(105, 143, 167, 120)(113, 127)(115, 153)(122, 188)(124, 178, 155, 184)(128, 180, 148, 175)(129, 174, 156, 179)(144, 149)(147, 162)(169, 173)
g1: (19, 30)(21, 35, 32, 48)(22, 33)(28, 44, 42, 58)(38, 74, 60, 54)(46, 66, 51, 62)(56, 82, 64, 90)(68, 70, 76, 78)(72, 80)(84, 87)(102, 134)(103, 175)(104, 119, 164, 139)(105, 143, 167, 120)(115, 153)(116, 148)(122, 188)(124, 178, 155, 184)(128, 141)(129, 174, 156, 179)(147, 162)(165, 180)
h1: (9, 19)(14, 22)(17, 30)(25, 33)(35, 44)(36, 49)(39, 52)(48, 58)(97, 152)(102, 153)(111, 135)(115, 147)(117, 187)(122, 134)(150, 190)(162, 188)
m1: (34, 47)(37, 53)(43, 57)(45, 61)(50, 65)(59, 73)(69, 77)(81, 89)(98, 177)(100, 125)(108, 133)(110, 158)(138, 145)(142, 182)(151, 172)(161, 170)
n2: (38, 51)(46, 60)(54, 66)(56, 64)(62, 74)(68, 76)(70, 78)(82, 90)(105, 167)(120, 143)(124, 155)(178, 184)
a2: (19, 30)(21, 35)(22, 33)(28, 44)(32, 48)(42, 58)(54, 62)(66, 74)(102, 134)(104, 174)(115, 153)(119, 129)(122, 188)(139, 156)(147, 162)(164, 179)
b2: (3, 6)(5, 11)(7, 15)(8, 13)(12, 23)(16, 24)(18, 26)(29, 40)(106, 118)(131, 137)(160, 185)(163, 191)
c2: (1, 2)(4, 10)(9, 14)(17, 25)(19, 22)(30, 33)(36, 49)(39, 52)(97, 117)(111, 190)(135, 150)(152, 187)

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

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