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