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