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On this page are computer-accessible forms for the graph C4[ 192, 62 ] =
PL(Curtain_24(1,12,1,8,20),[4^24,4^24]).
(I) Following is a form readable by MAGMA:
g:=Graph<192|{ {66, 98}, {92, 124}, {71, 103}, {85, 116}, {70, 100}, {73, 107},
{64, 100}, {85, 112}, {74, 108}, {86, 112}, {84, 115}, {68, 109}, {79, 102},
{86, 124}, {94, 116}, {89, 115}, {91, 112}, {92, 112}, {68, 105}, {80, 125},
{72, 102}, {73, 103}, {74, 100}, {77, 124}, {83, 98}, {71, 115}, {93, 105}, {88,
111}, {70, 126}, {87, 111}, {68, 125}, {80, 105}, {81, 109}, {83, 111}, {65,
124}, {82, 111}, {86, 105}, {89, 102}, {51, 115}, {45, 108}, {48, 113}, {55,
118}, {57, 120}, {32, 98}, {43, 104}, {43, 109}, {44, 107}, {49, 120}, {52,
125}, {46, 101}, {32, 108}, {34, 110}, {50, 126}, {51, 127}, {59, 116}, {36,
116}, {42, 120}, {58, 104}, {56, 109}, {60, 100}, {62, 102}, {63, 103}, {35,
122}, {38, 127}, {39, 125}, {54, 108}, {61, 103}, {36, 120}, {42, 118}, {47,
114}, {53, 107}, {1, 97}, {22, 118}, {17, 113}, {3, 99}, {12, 110}, {29, 127},
{16, 114}, {5, 97}, {8, 110}, {24, 126}, {4, 99}, {2, 106}, {30, 118}, {25,
113}, {9, 97}, {3, 106}, {15, 101}, {24, 114}, {21, 127}, {1, 106}, {8, 99}, {6,
106}, {25, 117}, {22, 122}, {16, 126}, {24, 119}, {30, 113}, {29, 114}, {17,
97}, {6, 119}, {19, 98}, {23, 101}, {9, 122}, {16, 99}, {10, 121}, {15, 123},
{31, 107}, {29, 104}, {2, 117}, {14, 121}, {13, 122}, {13, 117}, {2, 123}, {28,
101}, {1, 123}, {12, 119}, {21, 110}, {14, 117}, {5, 121}, {7, 123}, {4, 121},
{21, 104}, {10, 119}, {37, 165}, {40, 168}, {62, 190}, {6, 135}, {54, 183}, {3,
129}, {33, 163}, {5, 134}, {28, 159}, {25, 157}, {4, 129}, {33, 164}, {17, 148},
{55, 178}, {60, 185}, {8, 128}, {14, 134}, {13, 133}, {50, 186}, {52, 188}, {53,
189}, {56, 176}, {57, 177}, {19, 154}, {41, 160}, {40, 161}, {48, 185}, {21,
159}, {43, 161}, {38, 172}, {20, 159}, {45, 166}, {44, 167}, {28, 151}, {12,
128}, {41, 165}, {38, 170}, {30, 146}, {17, 157}, {16, 156}, {10, 135}, {46,
163}, {11, 134}, {59, 182}, {51, 189}, {63, 176}, {19, 130}, {23, 134}, {50,
163}, {61, 172}, {36, 182}, {18, 129}, {54, 165}, {8, 156}, {53, 161}, {40,
189}, {41, 191}, {46, 184}, {47, 184}, {50, 165}, {61, 170}, {63, 168}, {3,
155}, {27, 130}, {39, 190}, {33, 184}, {35, 185}, {52, 174}, {1, 154}, {42,
177}, {39, 188}, {38, 189}, {58, 161}, {25, 133}, {49, 173}, {6, 155}, {26,
135}, {20, 137}, {9, 148}, {52, 169}, {22, 136}, {45, 179}, {44, 178}, {31,
129}, {5, 154}, {37, 186}, {53, 149}, {13, 172}, {11, 169}, {48, 146}, {15,
173}, {7, 164}, {18, 177}, {58, 153}, {10, 174}, {31, 187}, {30, 186}, {27,
191}, {9, 172}, {47, 138}, {37, 128}, {29, 184}, {62, 155}, {62, 152}, {36,
131}, {27, 179}, {34, 138}, {33, 137}, {18, 187}, {43, 130}, {4, 174}, {26,
177}, {44, 135}, {40, 131}, {35, 136}, {19, 191}, {24, 180}, {22, 186}, {61,
145}, {31, 178}, {41, 132}, {35, 141}, {42, 132}, {51, 157}, {59, 149}, {11,
164}, {57, 150}, {20, 164}, {2, 179}, {15, 190}, {7, 182}, {26, 168}, {49, 131},
{54, 132}, {56, 138}, {34, 145}, {55, 132}, {45, 153}, {57, 141}, {58, 142},
{59, 143}, {12, 180}, {55, 143}, {7, 190}, {46, 151}, {32, 153}, {18, 168}, {32,
154}, {23, 173}, {56, 130}, {39, 155}, {60, 128}, {63, 131}, {11, 182}, {48,
141}, {34, 159}, {27, 166}, {26, 167}, {14, 179}, {49, 140}, {23, 169}, {47,
145}, {82, 147}, {76, 142}, {90, 152}, {93, 158}, {75, 143}, {87, 147}, {75,
141}, {84, 146}, {76, 138}, {79, 136}, {83, 148}, {86, 158}, {95, 151}, {69,
140}, {81, 152}, {69, 143}, {84, 158}, {67, 136}, {89, 146}, {78, 133}, {91,
151}, {93, 144}, {82, 156}, {94, 144}, {93, 147}, {95, 144}, {69, 149}, {72,
152}, {90, 139}, {95, 140}, {20, 192}, {90, 142}, {76, 153}, {96, 181}, {64,
150}, {66, 148}, {71, 145}, {91, 140}, {94, 137}, {92, 139}, {71, 157}, {81,
139}, {28, 192}, {85, 137}, {73, 149}, {74, 150}, {65, 156}, {88, 133}, {67,
158}, {75, 150}, {80, 142}, {64, 160}, {66, 162}, {72, 169}, {65, 162}, {87,
180}, {68, 160}, {37, 192}, {70, 163}, {78, 171}, {79, 170}, {72, 174}, {80,
183}, {69, 173}, {84, 188}, {78, 166}, {66, 171}, {92, 181}, {82, 187}, {67,
170}, {77, 167}, {96, 139}, {78, 162}, {89, 181}, {90, 183}, {77, 162}, {87,
167}, {96, 144}, {95, 175}, {91, 171}, {81, 160}, {94, 175}, {96, 147}, {88,
175}, {73, 176}, {75, 178}, {77, 180}, {65, 187}, {79, 181}, {60, 192}, {83,
175}, {76, 176}, {74, 183}, {85, 171}, {88, 166}, {64, 191}, {67, 188}, {70,
185} }>;
(II) A more general form is to represent the graph as the orbit of {66, 98}
under the group generated by the following permutations:
a: (3, 6)(4, 10)(8, 12)(16, 24)(18, 26)(31, 44)(65, 77)(82, 87)(99, 119)(129,
135)(156, 180)(167, 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 **************
b: (2, 5)(3, 17)(4, 25)(6, 9)(7, 19)(8, 51)(10, 13)(11, 27)(12, 38)(15, 32)(16,
71)(18, 30)(20, 43)(22, 26)(23, 45)(24, 61)(28, 58)(29, 34)(31, 48)(33, 56)(35,
44)(36, 41)(37, 40)(39, 66)(46, 76)(49, 54)(50, 63)(52, 78)(53, 60)(55, 57)(59,
64)(62, 83)(65, 84)(67, 77)(68, 85)(69, 74)(70, 73)(72, 88)(79, 87)(80, 91)(81,
94)(82, 89)(90, 95)(92, 93)(97, 106)(98, 190)(99, 157)(100, 149)(101, 153)(102,
111)(103, 126)(104, 159)(105, 112)(107, 185)(108, 173)(109, 137)(110, 127)(113,
129)(114, 145)(115, 156)(116, 160)(117, 121)(118, 177)(119, 172)(120, 132)(122,
135)(123, 154)(124, 158)(125, 171)(128, 189)(130, 164)(131, 165)(133, 174)(134,
179)(136, 167)(138, 184)(139, 144)(140, 183)(141, 178)(142, 151)(143, 150)(146,
187)(147, 181)(148, 155)(152, 175)(161, 192)(162, 188)(163, 176)(166, 169)(168,
186)(170, 180)(182, 191)
c: (65, 82)(66, 83)(77, 87)(78, 88)(85, 94)(86, 93)(91, 95)(92, 96)(111,
162)(112, 144)(124, 147)(171, 175)
d: (9, 17)(13, 25)(21, 37)(22, 51)(29, 50)(30, 38)(34, 60)(35, 71)(40, 42)(41,
43)(47, 70)(48, 61)(53, 55)(54, 58)(56, 64)(57, 63)(67, 84)(73, 75)(74, 76)(79,
89)(100, 138)(103, 141)(104, 165)(107, 178)(108, 153)(109, 160)(110, 128)(113,
172)(114, 126)(115, 136)(118, 189)(120, 131)(122, 157)(127, 186)(130, 191)(132,
161)(142, 183)(143, 149)(145, 185)(146, 170)(150, 176)(159, 192)(163, 184)(168,
177)
e: (21, 34)(29, 47)(38, 61)(40, 63)(43, 56)(51, 71)(53, 73)(58, 76)(103,
189)(104, 138)(127, 145)(161, 176)
f: (19, 32)(27, 45)(41, 54)(43, 58)(56, 76)(64, 74)(68, 80)(81, 90)(108,
191)(109, 142)(130, 153)(160, 183)
g: (18, 31)(26, 44)(36, 59)(40, 53)(42, 55)(49, 69)(57, 75)(63, 73)(107,
168)(120, 143)(131, 149)(177, 178)
h: (3, 15)(4, 23)(6, 7)(8, 28)(10, 11)(12, 20)(16, 46)(18, 49)(24, 33)(26,
36)(31, 69)(44, 59)(65, 91)(77, 85)(82, 95)(87, 94)(99, 101)(106, 123)(107,
149)(110, 159)(111, 175)(112, 124)(114, 184)(116, 167)(119, 164)(120, 177)(121,
134)(126, 163)(128, 192)(129, 173)(131, 168)(135, 182)(137, 180)(140, 187)(143,
178)(144, 147)(151, 156)(155, 190)(162, 171)(169, 174)
m: (1, 2)(5, 14)(9, 13)(17, 25)(19, 27)(32, 45)(66, 78)(83, 88)(97, 117)(98,
166)(133, 148)(154, 179)
n1: (3, 6)(4, 10)(8, 26)(12, 18)(16, 44)(20, 36)(21, 40)(24, 31)(28, 49)(29,
53)(33, 59)(34, 63)(37, 42)(46, 69)(47, 73)(50, 55)(57, 60)(65, 77)(70, 75)(82,
87)(99, 135)(100, 150)(101, 173)(103, 145)(104, 161)(107, 114)(110, 168)(116,
137)(118, 186)(119, 129)(120, 192)(126, 178)(127, 189)(128, 177)(131, 159)(132,
165)(138, 176)(140, 151)(141, 185)(143, 163)(149, 184)(156, 167)(164, 182)(180,
187)
a1: (1, 3, 2, 6)(4, 14, 10, 5)(7, 39)(8, 13, 12, 9)(11, 52)(15, 62)(16, 25, 24,
17)(18, 27, 26, 19)(20, 67)(21, 22)(23, 72)(28, 79)(29, 30)(31, 45, 44, 32)(33,
84)(34, 35)(36, 68)(37, 38)(40, 41)(42, 43)(46, 89)(47, 48)(49, 81)(50, 51)(53,
54)(55, 58)(56, 57)(59, 80)(60, 61)(63, 64)(65, 78, 77, 66)(69, 90)(70, 71)(73,
74)(75, 76)(82, 88, 87, 83)(85, 86)(91, 92)(93, 94)(95, 96)(97, 99, 117,
119)(98, 187, 166, 167)(100, 103)(101, 102)(104, 118)(105, 116)(107, 108)(109,
120)(110, 122)(113, 114)(115, 163)(123, 155)(124, 171)(125, 182)(126, 157)(127,
186)(128, 172)(129, 179, 135, 154)(130, 177)(131, 160)(132, 161)(133, 180, 148,
156)(134, 174)(136, 159)(137, 158)(138, 141)(139, 140)(142, 143)(145, 185)(146,
184)(147, 175)(149, 183)(150, 176)(151, 181)(152, 173)(153, 178)(164, 188)(165,
189)(168, 191)(170, 192)
b1: (22, 35)(30, 48)(37, 60)(41, 64)(42, 57)(50, 70)(54, 74)(55, 75)(100,
165)(118, 141)(132, 150)(185, 186)
c1: (8, 16)(12, 24)(20, 33)(21, 29)(28, 46)(34, 47)(37, 50)(60, 70)(110,
114)(126, 128)(159, 184)(163, 192)
d1: (7, 15)(11, 23)(20, 28)(33, 46)(36, 49)(59, 69)(85, 91)(94, 95)(101,
164)(116, 140)(137, 151)(173, 182)
e1: (9, 17)(13, 25)(22, 30)(35, 48)(38, 51)(61, 71)(67, 84)(79, 89)(113,
122)(115, 170)(136, 146)(157, 172)
C4[ 192, 62 ]
192
-1 154 123 106 97
-2 123 179 106 117
-3 99 155 106 129
-4 99 121 129 174
-5 121 154 134 97
-6 155 135 106 119
-7 123 190 182 164
-8 99 110 156 128
-9 122 148 172 97
-10 121 135 119 174
-11 134 169 182 164
-12 110 180 128 119
-13 122 133 117 172
-14 121 134 179 117
-15 101 123 190 173
-16 99 156 114 126
-17 113 157 148 97
-18 187 177 168 129
-19 154 191 130 98
-20 137 159 192 164
-21 110 104 159 127
-22 122 136 118 186
-23 101 134 169 173
-24 114 180 126 119
-25 133 113 157 117
-26 177 167 135 168
-27 166 179 191 130
-28 101 159 192 151
-29 114 104 127 184
-30 113 146 118 186
-31 187 178 107 129
-32 154 108 98 153
-33 137 184 163 164
-34 110 145 159 138
-35 122 136 141 185
-36 116 182 120 131
-37 165 192 128 186
-38 189 170 127 172
-39 155 188 190 125
-40 189 168 161 131
-41 132 165 191 160
-42 132 177 118 120
-43 104 161 130 109
-44 167 178 135 107
-45 166 179 108 153
-46 101 151 184 163
-47 145 114 138 184
-48 113 146 141 185
-49 140 173 120 131
-50 165 126 163 186
-51 189 157 115 127
-52 188 125 169 174
-53 189 149 161 107
-54 132 165 183 108
-55 132 143 178 118
-56 176 138 130 109
-57 177 150 141 120
-58 104 161 142 153
-59 143 116 149 182
-60 100 192 128 185
-61 145 103 170 172
-62 155 102 190 152
-63 176 168 103 131
-64 100 191 160 150
-65 187 156 124 162
-66 148 171 162 98
-67 188 136 158 170
-68 125 105 160 109
-69 143 149 140 173
-70 100 126 163 185
-71 145 157 103 115
-72 102 169 152 174
-73 176 103 149 107
-74 100 150 183 108
-75 143 178 150 141
-76 176 138 142 153
-77 167 124 180 162
-78 133 166 171 162
-79 102 136 170 181
-80 125 105 183 142
-81 160 139 152 109
-82 187 111 156 147
-83 111 148 98 175
-84 188 146 158 115
-85 112 137 116 171
-86 112 124 158 105
-87 111 167 147 180
-88 111 133 166 175
-89 102 146 115 181
-90 139 183 152 142
-91 112 171 140 151
-92 112 124 181 139
-93 144 147 158 105
-94 144 137 116 175
-95 144 140 151 175
-96 144 147 181 139
-97 1 5 17 9
-98 66 83 19 32
-99 3 4 16 8
-100 70 60 74 64
-101 23 46 15 28
-102 89 79 72 62
-103 71 61 73 63
-104 58 29 21 43
-105 68 80 93 86
-106 1 2 3 6
-107 44 73 31 53
-108 45 74 32 54
-109 56 68 81 43
-110 12 34 8 21
-111 88 82 83 87
-112 91 92 85 86
-113 25 48 17 30
-114 24 47 16 29
-115 89 71 51 84
-116 36 59 94 85
-117 2 13 14 25
-118 22 55 30 42
-119 12 24 6 10
-120 57 36 49 42
-121 14 4 5 10
-122 22 13 35 9
-123 1 2 15 7
-124 77 92 86 65
-125 68 80 39 52
-126 24 70 16 50
-127 38 29 51 21
-128 12 37 60 8
-129 3 4 18 31
-130 56 27 19 43
-131 36 49 40 63
-132 55 41 42 54
-133 88 78 13 25
-134 11 23 14 5
-135 44 26 6 10
-136 22 67 35 79
-137 33 94 85 20
-138 34 56 47 76
-139 90 81 92 96
-140 69 91 49 95
-141 35 57 48 75
-142 90 58 80 76
-143 55 69 59 75
-144 93 94 95 96
-145 34 47 71 61
-146 89 48 84 30
-147 82 93 96 87
-148 66 17 83 9
-149 69 59 73 53
-150 57 74 64 75
-151 46 91 28 95
-152 90 81 72 62
-153 45 58 32 76
-154 1 5 19 32
-155 3 6 39 62
-156 16 82 8 65
-157 25 71 17 51
-158 67 93 84 86
-159 34 28 20 21
-160 68 81 41 64
-161 58 40 53 43
-162 66 77 78 65
-163 33 46 70 50
-164 11 33 7 20
-165 37 50 41 54
-166 88 45 78 27
-167 44 77 26 87
-168 26 18 40 63
-169 11 23 72 52
-170 67 79 38 61
-171 66 78 91 85
-172 13 38 61 9
-173 23 69 15 49
-174 4 72 52 10
-175 88 83 94 95
-176 56 73 63 76
-177 57 26 18 42
-178 44 55 31 75
-179 45 2 14 27
-180 77 12 24 87
-181 89 79 92 96
-182 11 36 59 7
-183 90 80 74 54
-184 33 46 47 29
-185 35 48 70 60
-186 22 37 50 30
-187 82 18 31 65
-188 67 39 84 52
-189 38 40 51 53
-190 15 39 7 62
-191 27 19 41 64
-192 37 60 28 20
0