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