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

On this page are computer-accessible forms for the graph C4[ 192, 30 ] = PL(MSY(6,16,7,0)).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {80, 113} under the group generated by the following permutations:

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

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

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