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