[Home] [Table] [Glossary] [Families]

On this page are computer-accessible forms for the graph C4[ 192, 25 ] = PL(MSY(4,24,11,12)).

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

(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, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24)(25, 36, 47, 34, 45, 32, 43, 30, 41, 28, 39, 26, 37, 48, 35, 46, 33, 44, 31, 42, 29, 40, 27, 38)(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, 84, 95, 82, 93, 80, 91, 78, 89, 76, 87, 74, 85, 96, 83, 94, 81, 92, 79, 90, 77, 88, 75, 86)(97, 185, 181, 169, 165, 153, 149, 137, 133, 121, 117, 105, 101, 189, 177, 173, 161, 157, 145, 141, 129, 125, 113, 109)(98, 186, 182, 170, 166, 154, 150, 138, 134, 122, 118, 106, 102, 190, 178, 174, 162, 158, 146, 142, 130, 126, 114, 110)(99, 187, 183, 171, 167, 155, 151, 139, 135, 123, 119, 107, 103, 191, 179, 175, 163, 159, 147, 143, 131, 127, 115, 111)(100, 188, 184, 172, 168, 156, 152, 140, 136, 124, 120, 108, 104, 192, 180, 176, 164, 160, 148, 144, 132, 128, 116, 112)
b: (1, 25, 63, 95, 17, 33, 55, 79, 9, 41, 71, 87)(2, 48, 64, 94, 18, 32, 56, 78, 10, 40, 72, 86)(3, 47, 65, 93, 19, 31, 57, 77, 11, 39, 49, 85)(4, 46, 66, 92, 20, 30, 58, 76, 12, 38, 50, 84)(5, 45, 67, 91, 21, 29, 59, 75, 13, 37, 51, 83)(6, 44, 68, 90, 22, 28, 60, 74, 14, 36, 52, 82)(7, 43, 69, 89, 23, 27, 61, 73, 15, 35, 53, 81)(8, 42, 70, 88, 24, 26, 62, 96, 16, 34, 54, 80)(97, 190, 179, 172, 161, 154, 151, 144, 133, 126, 115, 108)(98, 191, 180, 173, 162, 155, 152, 137, 134, 127, 116, 109)(99, 192, 181, 174, 163, 156, 145, 138, 135, 128, 117, 110)(100, 185, 182, 175, 164, 157, 146, 139, 136, 121, 118, 111)(101, 186, 183, 176, 165, 158, 147, 140, 129, 122, 119, 112)(102, 187, 184, 169, 166, 159, 148, 141, 130, 123, 120, 105)(103, 188, 177, 170, 167, 160, 149, 142, 131, 124, 113, 106)(104, 189, 178, 171, 168, 153, 150, 143, 132, 125, 114, 107)
c: (2, 24)(3, 23)(4, 22)(5, 21)(6, 20)(7, 19)(8, 18)(9, 17)(10, 16)(11, 15)(12, 14)(25, 39)(26, 38)(27, 37)(28, 36)(29, 35)(30, 34)(31, 33)(40, 48)(41, 47)(42, 46)(43, 45)(50, 72)(51, 71)(52, 70)(53, 69)(54, 68)(55, 67)(56, 66)(57, 65)(58, 64)(59, 63)(60, 62)(73, 87)(74, 86)(75, 85)(76, 84)(77, 83)(78, 82)(79, 81)(88, 96)(89, 95)(90, 94)(91, 93)(97, 109)(98, 110)(99, 111)(100, 112)(101, 105)(102, 106)(103, 107)(104, 108)(113, 185)(114, 186)(115, 187)(116, 188)(117, 189)(118, 190)(119, 191)(120, 192)(121, 177)(122, 178)(123, 179)(124, 180)(125, 181)(126, 182)(127, 183)(128, 184)(129, 169)(130, 170)(131, 171)(132, 172)(133, 173)(134, 174)(135, 175)(136, 176)(137, 161)(138, 162)(139, 163)(140, 164)(141, 165)(142, 166)(143, 167)(144, 168)(145, 153)(146, 154)(147, 155)(148, 156)(149, 157)(150, 158)(151, 159)(152, 160)
d: (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)

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

**************