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