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On this page are computer-accessible forms for the graph C4[ 192, 59 ] =
PL(Curtain_24(1,6,1,8,14),[4^24,8^12]).
(I) Following is a form readable by MAGMA:
g:=Graph<192|{ {96, 118}, {70, 102}, {93, 124}, {80, 115}, {90, 121}, {65, 105},
{78, 100}, {84, 127}, {71, 107}, {68, 105}, {90, 119}, {81, 127}, {82, 124},
{85, 122}, {69, 117}, {95, 111}, {73, 120}, {83, 98}, {65, 114}, {88, 107}, {87,
100}, {75, 120}, {78, 125}, {66, 118}, {86, 98}, {82, 102}, {89, 111}, {80,
103}, {66, 122}, {74, 114}, {92, 101}, {72, 115}, {73, 117}, {75, 119}, {81,
109}, {69, 122}, {36, 100}, {41, 105}, {62, 126}, {45, 108}, {52, 117}, {42,
104}, {48, 114}, {51, 113}, {35, 103}, {43, 111}, {38, 98}, {44, 105}, {52,
113}, {55, 114}, {61, 120}, {40, 110}, {56, 126}, {63, 121}, {34, 101}, {62,
121}, {46, 102}, {53, 124}, {61, 116}, {63, 118}, {62, 116}, {39, 107}, {49,
125}, {59, 119}, {32, 109}, {33, 113}, {42, 122}, {45, 124}, {53, 103}, {56,
107}, {33, 119}, {45, 117}, {53, 108}, {60, 101}, {35, 120}, {54, 109}, {33,
125}, {35, 127}, {57, 101}, {58, 102}, {1, 97}, {14, 110}, {3, 99}, {18, 115},
{31, 126}, {10, 104}, {15, 108}, {21, 113}, {26, 126}, {4, 97}, {28, 121}, {9,
108}, {5, 99}, {8, 110}, {15, 104}, {2, 106}, {23, 127}, {21, 125}, {9, 97}, {3,
106}, {2, 104}, {26, 112}, {1, 106}, {27, 112}, {16, 123}, {8, 99}, {6, 106},
{27, 118}, {30, 115}, {26, 116}, {23, 103}, {17, 99}, {18, 97}, {5, 112}, {20,
98}, {25, 111}, {2, 123}, {23, 110}, {20, 109}, {1, 123}, {14, 116}, {10, 112},
{7, 123}, {24, 100}, {12, 140}, {45, 173}, {39, 167}, {52, 180}, {30, 156}, {34,
160}, {59, 185}, {3, 128}, {34, 161}, {57, 186}, {17, 149}, {42, 174}, {5, 128},
{29, 152}, {18, 151}, {11, 141}, {20, 146}, {24, 159}, {51, 180}, {54, 177},
{30, 150}, {8, 129}, {40, 161}, {17, 152}, {10, 131}, {6, 140}, {36, 174}, {25,
147}, {55, 189}, {60, 182}, {24, 148}, {38, 170}, {76, 192}, {15, 130}, {49,
188}, {37, 168}, {56, 181}, {58, 183}, {61, 176}, {63, 178}, {13, 131}, {36,
170}, {20, 154}, {18, 156}, {14, 129}, {43, 187}, {46, 190}, {58, 170}, {28,
141}, {29, 140}, {57, 168}, {62, 175}, {29, 143}, {49, 163}, {39, 181}, {33,
179}, {19, 128}, {30, 141}, {54, 165}, {4, 144}, {44, 184}, {10, 158}, {48,
165}, {41, 191}, {4, 147}, {11, 147}, {27, 131}, {21, 140}, {35, 186}, {57,
160}, {3, 153}, {47, 181}, {28, 134}, {1, 154}, {15, 148}, {11, 144}, {2, 158},
{12, 144}, {56, 164}, {8, 149}, {32, 189}, {9, 148}, {4, 154}, {37, 187}, {17,
143}, {9, 151}, {50, 172}, {60, 162}, {6, 153}, {37, 186}, {22, 137}, {7, 167},
{47, 143}, {16, 176}, {50, 146}, {51, 145}, {21, 182}, {40, 139}, {38, 133},
{37, 128}, {47, 138}, {6, 160}, {19, 180}, {24, 191}, {19, 187}, {42, 130}, {53,
157}, {25, 176}, {27, 178}, {55, 158}, {13, 167}, {28, 183}, {31, 180}, {29,
182}, {59, 144}, {12, 160}, {49, 157}, {48, 156}, {55, 155}, {44, 129}, {5,
171}, {39, 137}, {16, 190}, {13, 162}, {19, 163}, {22, 167}, {26, 171}, {32,
146}, {59, 137}, {7, 179}, {16, 164}, {12, 185}, {23, 161}, {22, 161}, {46,
153}, {40, 159}, {41, 145}, {48, 136}, {46, 150}, {43, 147}, {7, 190}, {50,
139}, {51, 138}, {61, 132}, {63, 134}, {31, 164}, {36, 159}, {11, 183}, {38,
154}, {31, 163}, {50, 142}, {52, 136}, {25, 164}, {41, 148}, {13, 179}, {47,
145}, {43, 149}, {32, 158}, {14, 176}, {54, 136}, {58, 133}, {60, 131}, {68,
132}, {88, 152}, {69, 133}, {73, 136}, {86, 151}, {79, 142}, {72, 139}, {83,
151}, {66, 135}, {67, 134}, {79, 138}, {77, 135}, {64, 139}, {80, 155}, {76,
129}, {91, 150}, {80, 157}, {64, 143}, {75, 132}, {65, 145}, {85, 133}, {70,
150}, {74, 155}, {96, 177}, {72, 155}, {90, 137}, {87, 132}, {77, 153}, {91,
142}, {22, 192}, {91, 141}, {67, 149}, {71, 157}, {92, 134}, {94, 130}, {65,
156}, {95, 130}, {79, 146}, {89, 135}, {64, 159}, {85, 138}, {71, 152}, {81,
177}, {89, 185}, {76, 173}, {34, 192}, {95, 189}, {93, 191}, {78, 172}, {94,
189}, {70, 162}, {72, 172}, {82, 183}, {95, 185}, {96, 135}, {69, 173}, {84,
188}, {76, 165}, {67, 169}, {92, 182}, {91, 177}, {77, 166}, {44, 192}, {66,
174}, {68, 168}, {74, 166}, {70, 171}, {85, 184}, {82, 191}, {78, 163}, {81,
188}, {96, 142}, {93, 178}, {94, 175}, {73, 186}, {77, 190}, {86, 162}, {64,
181}, {92, 169}, {90, 175}, {88, 173}, {79, 184}, {94, 169}, {67, 187}, {74,
178}, {75, 179}, {83, 169}, {84, 174}, {71, 188}, {93, 166}, {87, 172}, {68,
184}, {83, 175}, {86, 171}, {88, 165}, {84, 170}, {87, 168}, {89, 166} }>;
(II) A more general form is to represent the graph as the orbit of {96, 118}
under the group generated by the following permutations:
a: (1, 2)(3, 6)(4, 10)(5, 12)(7, 16)(8, 21)(9, 15)(11, 27)(13, 25)(14, 33)(17,
29)(18, 42)(19, 34)(20, 32)(22, 31)(23, 52)(24, 41)(26, 59)(28, 63)(30, 66)(35,
73)(36, 65)(37, 57)(38, 55)(39, 56)(40, 51)(43, 60)(44, 78)(45, 53)(46, 77)(47,
64)(48, 84)(49, 76)(50, 79)(54, 81)(58, 74)(61, 75)(62, 90)(67, 92)(68, 87)(69,
80)(70, 89)(71, 88)(72, 85)(82, 93)(83, 94)(86, 95)(91, 96)(97, 104)(98,
189)(99, 140)(100, 105)(101, 187)(102, 166)(103, 117)(110, 113)(111, 162)(112,
144)(114, 170)(115, 122)(116, 119)(118, 141)(125, 129)(126, 137)(127, 136)(128,
160)(130, 151)(131, 147)(133, 155)(135, 150)(138, 139)(145, 159)(149, 182)(154,
158)(156, 174)(157, 173)(161, 180)(163, 192)(164, 167)(165, 188)(171, 185)(172,
184)(176, 179)(178, 183) (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 **************
b: (8, 19)(14, 31)(17, 37)(21, 34)(22, 33)(23, 51)(24, 45)(29, 57)(35, 47)(36,
69)(39, 75)(40, 52)(41, 53)(44, 49)(48, 72)(50, 54)(56, 61)(64, 73)(65, 80)(68,
71)(76, 78)(79, 81)(84, 85)(87, 88)(99, 128)(100, 173)(101, 182)(103, 145)(105,
157)(107, 132)(108, 148)(109, 146)(110, 180)(113, 161)(114, 155)(115, 156)(116,
126)(117, 159)(119, 137)(120, 181)(122, 174)(124, 191)(125, 192)(127, 138)(129,
163)(133, 170)(136, 139)(140, 160)(142, 177)(143, 186)(149, 187)(152, 168)(164,
176)(165, 172)(167, 179)(184, 188)
c: (1, 3, 8, 23, 53, 15, 10, 26, 61, 73, 69, 66, 63, 90, 33, 51, 79, 91, 11, 12,
29, 64, 72, 18)(2, 5, 14, 35, 45, 42, 27, 62, 75, 52, 85, 96, 28, 59, 21, 47,
50, 30, 4, 6, 17, 40, 80, 9)(7, 19, 44, 81, 82, 95, 60, 56, 87, 48, 38, 77, 67,
22, 49, 41, 32, 70, 25, 57, 88, 36, 74, 83)(13, 31, 68, 54, 58, 89, 92, 39, 78,
65, 20, 46, 43, 34, 71, 24, 55, 86, 16, 37, 76, 84, 93, 94)(97, 106, 99, 110,
103, 108, 104, 112, 116, 120, 117, 122, 118, 121, 119, 113, 138, 142, 141, 144,
140, 143, 139, 115)(98, 190, 187, 192, 188, 191, 189, 162, 164, 168, 165, 170,
166, 169, 167, 163, 105, 109, 102, 111, 101, 107, 100, 114)(123, 128, 129, 127,
124, 130, 131, 126, 132, 136, 133, 135, 134, 137, 125, 145, 146, 150, 147, 160,
152, 159, 155, 151)(148, 158, 171, 176, 186, 173, 174, 178, 175, 179, 180, 184,
177, 183, 185, 182, 181, 172, 156, 154, 153, 149, 161, 157)
d: (3, 7)(5, 13)(6, 16)(8, 22)(12, 25)(14, 34)(17, 39)(19, 33)(21, 31)(23,
44)(24, 45)(26, 60)(29, 56)(35, 68)(36, 69)(37, 75)(40, 76)(41, 53)(43, 59)(47,
71)(48, 72)(49, 51)(50, 54)(52, 78)(57, 61)(62, 92)(64, 88)(65, 80)(67, 90)(73,
87)(79, 81)(84, 85)(99, 167)(100, 117)(101, 116)(103, 105)(106, 123)(107,
143)(108, 148)(109, 146)(110, 192)(111, 185)(112, 131)(113, 163)(114, 155)(115,
156)(119, 187)(120, 168)(121, 134)(122, 174)(124, 191)(125, 180)(126, 182)(127,
184)(128, 179)(129, 161)(132, 186)(133, 170)(136, 172)(137, 149)(138, 188)(139,
165)(140, 164)(142, 177)(144, 147)(145, 157)(152, 181)(153, 190)(159, 173)(160,
176)(162, 171)(169, 175)
e: (8, 19)(14, 31)(17, 37)(21, 34)(22, 33)(23, 49)(29, 57)(35, 71)(39, 75)(40,
78)(44, 51)(47, 68)(52, 76)(56, 61)(64, 87)(73, 88)(99, 128)(100, 159)(101,
182)(103, 157)(105, 145)(107, 120)(110, 163)(113, 192)(116, 126)(117, 173)(119,
137)(125, 161)(127, 188)(129, 180)(132, 181)(136, 165)(138, 184)(139, 172)(140,
160)(143, 168)(149, 187)(152, 186)(164, 176)(167, 179)
f: (2, 4)(3, 38, 7, 18)(5, 58, 13, 30)(6, 20, 16, 9)(8, 36, 33, 48)(10, 11)(12,
32, 25, 15)(14, 24, 21, 54)(17, 84, 75, 65)(19, 69, 22, 72)(23, 87, 51, 88)(26,
82, 60, 91)(27, 28)(29, 81, 61, 41)(31, 45, 34, 50)(35, 68, 47, 71)(37, 85, 39,
80)(40, 78, 52, 76)(42, 59, 55, 43)(44, 64, 49, 73)(46, 86)(53, 57, 79, 56)(62,
93, 92, 96)(66, 90, 74, 67)(77, 83)(89, 94)(97, 106, 154, 123)(98, 190, 151,
153)(99, 170, 179, 156)(100, 113, 165, 110)(101, 142, 126, 124)(102, 162, 150,
171)(103, 168, 138, 107)(104, 144, 158, 147)(105, 143, 188, 120)(108, 160, 146,
164)(109, 176, 148, 140)(111, 130, 185, 189)(112, 183, 131, 141)(114, 149, 174,
119)(115, 128, 133, 167)(116, 191, 182, 177)(117, 192, 139, 163)(118, 121, 178,
134)(122, 137, 155, 187)(125, 136, 129, 159)(127, 132, 145, 152)(135, 175, 166,
169)(157, 186, 184, 181)(161, 172, 180, 173)
C4[ 192, 59 ]
192
-1 154 123 106 97
-2 123 158 104 106
-3 99 106 128 153
-4 154 144 147 97
-5 99 112 171 128
-6 160 106 140 153
-7 123 167 179 190
-8 99 110 149 129
-9 148 151 97 108
-10 112 158 104 131
-11 144 147 183 141
-12 144 160 140 185
-13 167 179 162 131
-14 110 176 116 129
-15 104 148 108 130
-16 176 123 190 164
-17 99 143 149 152
-18 156 115 151 97
-19 187 180 128 163
-20 154 146 98 109
-21 113 125 182 140
-22 167 137 192 161
-23 110 103 127 161
-24 100 191 148 159
-25 176 111 147 164
-26 112 126 116 171
-27 112 178 118 131
-28 121 134 183 141
-29 143 182 140 152
-30 156 115 150 141
-31 180 126 163 164
-32 189 146 158 109
-33 113 179 125 119
-34 101 192 160 161
-35 103 127 120 186
-36 100 159 170 174
-37 187 168 128 186
-38 154 133 170 98
-39 167 137 181 107
-40 110 159 139 161
-41 145 191 148 105
-42 122 104 130 174
-43 187 111 147 149
-44 192 105 129 184
-45 124 117 173 108
-46 102 190 150 153
-47 143 145 181 138
-48 165 156 114 136
-49 188 157 125 163
-50 146 139 172 142
-51 145 113 180 138
-52 113 136 180 117
-53 124 157 103 108
-54 165 177 136 109
-55 155 189 114 158
-56 126 181 107 164
-57 101 168 160 186
-58 133 102 170 183
-59 144 137 119 185
-60 101 182 162 131
-61 132 176 116 120
-62 121 126 116 175
-63 121 134 178 118
-64 143 159 181 139
-65 145 156 114 105
-66 122 135 118 174
-67 187 134 169 149
-68 132 168 105 184
-69 122 133 117 173
-70 102 171 150 162
-71 188 157 107 152
-72 155 115 139 172
-73 136 117 120 186
-74 155 166 178 114
-75 132 179 119 120
-76 165 192 129 173
-77 166 135 190 153
-78 100 125 172 163
-79 146 138 184 142
-80 155 157 103 115
-81 177 188 127 109
-82 102 124 191 183
-83 169 151 98 175
-84 188 170 127 174
-85 122 133 138 184
-86 171 151 162 98
-87 132 100 168 172
-88 165 107 173 152
-89 111 166 135 185
-90 121 137 119 175
-91 177 150 141 142
-92 101 134 169 182
-93 166 178 124 191
-94 189 169 130 175
-95 111 189 130 185
-96 177 135 118 142
-97 1 4 18 9
-98 38 83 20 86
-99 3 5 17 8
-100 78 24 36 87
-101 34 57 92 60
-102 46 58 70 82
-103 23 35 80 53
-104 2 15 42 10
-105 44 68 41 65
-106 1 2 3 6
-107 88 56 71 39
-108 45 15 9 53
-109 81 20 32 54
-110 23 14 40 8
-111 89 25 95 43
-112 26 5 27 10
-113 33 51 52 21
-114 55 48 74 65
-115 80 72 18 30
-116 14 26 61 62
-117 45 69 73 52
-118 66 27 63 96
-119 33 90 59 75
-120 35 61 73 75
-121 90 28 62 63
-122 66 69 85 42
-123 1 2 16 7
-124 45 82 93 53
-125 33 78 49 21
-126 56 26 62 31
-127 23 35 81 84
-128 3 37 5 19
-129 44 14 8 76
-130 15 94 95 42
-131 13 27 60 10
-132 68 61 75 87
-133 58 69 38 85
-134 67 92 28 63
-135 66 77 89 96
-136 48 73 52 54
-137 22 90 59 39
-138 79 47 51 85
-139 50 72 40 64
-140 12 6 29 21
-141 11 91 28 30
-142 79 91 50 96
-143 47 17 29 64
-144 11 12 4 59
-145 47 51 41 65
-146 79 50 20 32
-147 11 25 4 43
-148 24 15 41 9
-149 67 17 8 43
-150 46 91 70 30
-151 83 18 9 86
-152 88 71 17 29
-153 77 46 3 6
-154 1 4 38 20
-155 55 80 72 74
-156 48 18 30 65
-157 80 49 71 53
-158 55 2 10 32
-159 24 36 40 64
-160 12 34 57 6
-161 22 23 34 40
-162 13 70 60 86
-163 78 49 19 31
-164 56 25 16 31
-165 88 48 54 76
-166 77 89 93 74
-167 22 13 39 7
-168 57 68 37 87
-169 67 92 83 94
-170 36 58 38 84
-171 26 70 5 86
-172 78 50 72 87
-173 88 45 69 76
-174 66 36 84 42
-175 90 83 94 62
-176 14 25 16 61
-177 91 81 96 54
-178 27 93 63 74
-179 33 13 7 75
-180 51 19 52 31
-181 56 47 39 64
-182 92 60 29 21
-183 11 58 82 28
-184 44 68 79 85
-185 12 89 59 95
-186 35 57 37 73
-187 67 37 19 43
-188 81 49 71 84
-189 55 94 95 32
-190 77 46 16 7
-191 24 82 93 41
-192 22 44 34 76
0