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

On this page are computer-accessible forms for the graph C4[ 192, 27 ] = PL(MSY(4,24,5,12)).

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

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

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