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

On this page are computer-accessible forms for the graph C4[ 192, 31 ] = PL(MSY(6,16,7,8)).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {74, 107} under the group generated by the following permutations:

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

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

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