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