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