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

On this page are computer-accessible forms for the graph C4[ 195, 5 ] = PS(3,65;4).

(I) Following is a form readable by MAGMA:

g:=Graph<195|{ {65, 66}, {128, 132}, {130, 134}, {129, 133}, {128, 189}, {130, 191}, {129, 190}, {2, 66}, {51, 115}, {50, 114}, {49, 113}, {48, 112}, {47, 111}, {46, 110}, {45, 109}, {44, 108}, {43, 107}, {42, 106}, {41, 105}, {40, 104}, {39, 103}, {38, 102}, {37, 101}, {36, 100}, {35, 99}, {34, 98}, {33, 97}, {32, 96}, {3, 67}, {4, 68}, {5, 69}, {6, 70}, {7, 71}, {8, 72}, {9, 73}, {10, 74}, {11, 75}, {12, 76}, {13, 77}, {14, 78}, {15, 79}, {16, 80}, {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}, {52, 116}, {53, 117}, {54, 118}, {55, 119}, {56, 120}, {57, 121}, {58, 122}, {59, 123}, {60, 124}, {61, 125}, {62, 126}, {63, 127}, {1, 67}, {49, 115}, {48, 114}, {45, 111}, {44, 110}, {41, 107}, {40, 106}, {37, 103}, {36, 102}, {33, 99}, {32, 98}, {4, 70}, {5, 71}, {8, 74}, {9, 75}, {12, 78}, {13, 79}, {16, 82}, {17, 83}, {20, 86}, {21, 87}, {24, 90}, {25, 91}, {28, 94}, {29, 95}, {52, 118}, {53, 119}, {56, 122}, {57, 123}, {60, 126}, {61, 127}, {2, 68}, {50, 116}, {43, 109}, {42, 108}, {35, 101}, {34, 100}, {3, 69}, {10, 76}, {11, 77}, {18, 84}, {19, 85}, {26, 92}, {27, 93}, {51, 117}, {58, 124}, {59, 125}, {6, 72}, {39, 105}, {38, 104}, {7, 73}, {22, 88}, {23, 89}, {54, 120}, {55, 121}, {14, 80}, {47, 113}, {46, 112}, {15, 81}, {30, 96}, {31, 97}, {66, 192}, {67, 193}, {1, 130}, {68, 194}, {69, 195}, {30, 144}, {47, 161}, {46, 160}, {31, 145}, {62, 176}, {63, 177}, {1, 147}, {49, 163}, {48, 162}, {45, 191}, {44, 190}, {41, 187}, {40, 186}, {37, 183}, {36, 182}, {33, 179}, {32, 178}, {4, 150}, {5, 151}, {8, 154}, {9, 155}, {12, 158}, {13, 159}, {17, 131}, {20, 134}, {21, 135}, {24, 138}, {25, 139}, {28, 142}, {29, 143}, {52, 166}, {53, 167}, {56, 170}, {57, 171}, {60, 174}, {61, 175}, {2, 148}, {50, 164}, {43, 189}, {42, 188}, {35, 181}, {34, 180}, {3, 149}, {10, 156}, {11, 157}, {18, 132}, {19, 133}, {26, 140}, {27, 141}, {51, 165}, {58, 172}, {59, 173}, {6, 152}, {39, 185}, {38, 184}, {7, 153}, {22, 136}, {23, 137}, {54, 168}, {55, 169}, {14, 160}, {31, 177}, {15, 161}, {30, 176}, {63, 144}, {50, 131}, {52, 133}, {54, 135}, {56, 137}, {58, 139}, {60, 141}, {62, 143}, {16, 162}, {45, 159}, {44, 158}, {41, 155}, {40, 154}, {37, 151}, {36, 150}, {33, 147}, {32, 146}, {17, 163}, {20, 166}, {21, 167}, {24, 170}, {25, 171}, {28, 174}, {29, 175}, {4, 183}, {8, 187}, {12, 191}, {53, 134}, {57, 138}, {61, 142}, {1, 180}, {3, 182}, {9, 188}, {11, 190}, {18, 164}, {43, 157}, {42, 156}, {35, 149}, {34, 148}, {19, 165}, {26, 172}, {27, 173}, {2, 181}, {10, 189}, {51, 132}, {59, 140}, {123, 192}, {5, 184}, {126, 195}, {124, 193}, {7, 186}, {22, 168}, {39, 153}, {38, 152}, {23, 169}, {62, 128}, {63, 129}, {6, 185}, {125, 194}, {55, 136}, {64, 128}, {65, 129}, {64, 130}, {71, 132}, {127, 188}, {123, 184}, {119, 180}, {115, 176}, {75, 136}, {79, 140}, {83, 144}, {87, 148}, {91, 152}, {95, 156}, {99, 160}, {103, 164}, {107, 168}, {111, 172}, {66, 135}, {126, 187}, {124, 185}, {122, 191}, {120, 189}, {118, 179}, {116, 177}, {114, 183}, {112, 181}, {70, 131}, {72, 141}, {74, 143}, {76, 137}, {78, 139}, {80, 149}, {82, 151}, {84, 145}, {86, 147}, {88, 157}, {90, 159}, {92, 153}, {94, 155}, {96, 165}, {98, 167}, {100, 161}, {102, 163}, {104, 173}, {106, 175}, {108, 169}, {110, 171}, {73, 142}, {125, 186}, {121, 190}, {117, 178}, {113, 182}, {77, 138}, {81, 150}, {85, 146}, {89, 158}, {93, 154}, {97, 166}, {101, 162}, {105, 174}, {109, 170}, {67, 136}, {119, 188}, {115, 184}, {71, 140}, {83, 152}, {87, 156}, {99, 168}, {103, 172}, {13, 192}, {122, 183}, {120, 181}, {118, 187}, {116, 185}, {15, 194}, {68, 137}, {70, 139}, {72, 133}, {74, 135}, {84, 153}, {86, 155}, {88, 149}, {90, 151}, {100, 169}, {102, 171}, {104, 165}, {106, 167}, {14, 193}, {121, 182}, {117, 186}, {69, 138}, {73, 134}, {85, 154}, {89, 150}, {101, 170}, {105, 166}, {64, 145}, {16, 195}, {65, 146}, {75, 144}, {111, 180}, {79, 148}, {107, 176}, {76, 145}, {114, 175}, {112, 173}, {78, 147}, {80, 141}, {82, 143}, {108, 177}, {110, 179}, {77, 146}, {113, 174}, {81, 142}, {109, 178}, {46, 192}, {47, 193}, {48, 194}, {49, 195}, {64, 178}, {65, 179}, {91, 160}, {95, 164}, {127, 131}, {92, 161}, {94, 163}, {96, 157}, {98, 159}, {93, 162}, {97, 158} }>;

(II) A more general form is to represent the graph as the orbit of {65, 66} 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, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 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, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 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, 193, 194, 195)
b: (1, 66, 131)(2, 127, 147)(3, 123, 163)(4, 119, 179)(5, 115, 195)(6, 111, 146)(7, 107, 162)(8, 103, 178)(9, 99, 194)(10, 95, 145)(11, 91, 161)(12, 87, 177)(13, 83, 193)(14, 79, 144)(15, 75, 160)(16, 71, 176)(17, 67, 192)(18, 128, 143)(19, 124, 159)(20, 120, 175)(21, 116, 191)(22, 112, 142)(23, 108, 158)(24, 104, 174)(25, 100, 190)(26, 96, 141)(27, 92, 157)(28, 88, 173)(29, 84, 189)(30, 80, 140)(31, 76, 156)(32, 72, 172)(33, 68, 188)(34, 129, 139)(35, 125, 155)(36, 121, 171)(37, 117, 187)(38, 113, 138)(39, 109, 154)(40, 105, 170)(41, 101, 186)(42, 97, 137)(43, 93, 153)(44, 89, 169)(45, 85, 185)(46, 81, 136)(47, 77, 152)(48, 73, 168)(49, 69, 184)(50, 130, 135)(51, 126, 151)(52, 122, 167)(53, 118, 183)(54, 114, 134)(55, 110, 150)(56, 106, 166)(57, 102, 182)(58, 98, 133)(59, 94, 149)(60, 90, 165)(61, 86, 181)(62, 82, 132)(63, 78, 148)(64, 74, 164)(65, 70, 180)
c: (2, 65)(3, 64)(4, 63)(5, 62)(6, 61)(7, 60)(8, 59)(9, 58)(10, 57)(11, 56)(12, 55)(13, 54)(14, 53)(15, 52)(16, 51)(17, 50)(18, 49)(19, 48)(20, 47)(21, 46)(22, 45)(23, 44)(24, 43)(25, 42)(26, 41)(27, 40)(28, 39)(29, 38)(30, 37)(31, 36)(32, 35)(33, 34)(67, 130)(68, 129)(69, 128)(70, 127)(71, 126)(72, 125)(73, 124)(74, 123)(75, 122)(76, 121)(77, 120)(78, 119)(79, 118)(80, 117)(81, 116)(82, 115)(83, 114)(84, 113)(85, 112)(86, 111)(87, 110)(88, 109)(89, 108)(90, 107)(91, 106)(92, 105)(93, 104)(94, 103)(95, 102)(96, 101)(97, 100)(98, 99)(132, 195)(133, 194)(134, 193)(135, 192)(136, 191)(137, 190)(138, 189)(139, 188)(140, 187)(141, 186)(142, 185)(143, 184)(144, 183)(145, 182)(146, 181)(147, 180)(148, 179)(149, 178)(150, 177)(151, 176)(152, 175)(153, 174)(154, 173)(155, 172)(156, 171)(157, 170)(158, 169)(159, 168)(160, 167)(161, 166)(162, 165)(163, 164)

(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[ 195, 5 ]
195
-1 67 147 180 130
-2 66 68 148 181
-3 67 69 149 182
-4 68 70 150 183
-5 69 71 151 184
-6 70 72 152 185
-7 71 73 153 186
-8 154 187 72 74
-9 155 188 73 75
-10 156 189 74 76
-11 77 157 190 75
-12 78 158 191 76
-13 77 79 159 192
-14 78 80 160 193
-15 79 81 161 194
-16 80 82 162 195
-17 81 83 163 131
-18 132 82 84 164
-19 165 133 83 85
-20 166 134 84 86
-21 167 135 85 87
-22 88 168 136 86
-23 89 169 137 87
-24 88 90 170 138
-25 89 91 171 139
-26 90 92 172 140
-27 91 93 173 141
-28 92 94 174 142
-29 143 93 95 175
-30 176 144 94 96
-31 177 145 95 97
-32 178 146 96 98
-33 99 179 147 97
-34 100 180 148 98
-35 99 101 181 149
-36 100 102 182 150
-37 101 103 183 151
-38 102 104 184 152
-39 103 105 185 153
-40 154 104 106 186
-41 187 155 105 107
-42 188 156 106 108
-43 189 157 107 109
-44 110 190 158 108
-45 111 191 159 109
-46 110 112 192 160
-47 111 113 193 161
-48 112 114 194 162
-49 113 115 195 163
-50 114 116 131 164
-51 132 165 115 117
-52 133 166 116 118
-53 134 167 117 119
-54 135 168 118 120
-55 121 136 169 119
-56 122 137 170 120
-57 121 123 138 171
-58 122 124 139 172
-59 123 125 140 173
-60 124 126 141 174
-61 125 127 142 175
-62 143 176 126 128
-63 144 177 127 129
-64 145 178 128 130
-65 66 146 179 129
-66 2 135 192 65
-67 1 3 136 193
-68 2 4 137 194
-69 3 5 138 195
-70 4 6 139 131
-71 132 5 7 140
-72 133 6 8 141
-73 134 7 9 142
-74 143 135 8 10
-75 11 144 136 9
-76 12 145 137 10
-77 11 13 146 138
-78 12 14 147 139
-79 13 15 148 140
-80 14 16 149 141
-81 15 17 150 142
-82 143 16 18 151
-83 144 17 19 152
-84 145 18 20 153
-85 154 146 19 21
-86 22 155 147 20
-87 23 156 148 21
-88 22 24 157 149
-89 23 25 158 150
-90 24 26 159 151
-91 25 27 160 152
-92 26 28 161 153
-93 154 27 29 162
-94 155 28 30 163
-95 156 29 31 164
-96 165 157 30 32
-97 33 166 158 31
-98 34 167 159 32
-99 33 35 168 160
-100 34 36 169 161
-101 35 37 170 162
-102 36 38 171 163
-103 37 39 172 164
-104 165 38 40 173
-105 166 39 41 174
-106 167 40 42 175
-107 176 168 41 43
-108 44 177 169 42
-109 45 178 170 43
-110 44 46 179 171
-111 45 47 180 172
-112 46 48 181 173
-113 47 49 182 174
-114 48 50 183 175
-115 176 49 51 184
-116 177 50 52 185
-117 178 51 53 186
-118 187 179 52 54
-119 55 188 180 53
-120 56 189 181 54
-121 55 57 190 182
-122 56 58 191 183
-123 57 59 192 184
-124 58 60 193 185
-125 59 61 194 186
-126 187 60 62 195
-127 188 61 63 131
-128 132 189 62 64
-129 133 190 63 65
-130 1 134 191 64
-131 70 17 50 127
-132 71 18 51 128
-133 72 19 52 129
-134 73 20 53 130
-135 66 74 21 54
-136 22 55 67 75
-137 23 56 68 76
-138 77 24 57 69
-139 78 25 58 70
-140 79 26 59 71
-141 80 27 60 72
-142 81 28 61 73
-143 82 29 62 74
-144 83 30 63 75
-145 84 31 64 76
-146 77 85 32 65
-147 33 1 78 86
-148 34 2 79 87
-149 88 35 3 80
-150 89 36 4 81
-151 90 37 5 82
-152 91 38 6 83
-153 92 39 7 84
-154 93 40 8 85
-155 94 41 9 86
-156 95 42 10 87
-157 11 88 96 43
-158 44 12 89 97
-159 45 13 90 98
-160 99 46 14 91
-161 100 47 15 92
-162 101 48 16 93
-163 102 49 17 94
-164 103 50 18 95
-165 104 51 19 96
-166 105 52 20 97
-167 106 53 21 98
-168 22 99 107 54
-169 55 23 100 108
-170 56 24 101 109
-171 110 57 25 102
-172 111 58 26 103
-173 112 59 27 104
-174 113 60 28 105
-175 114 61 29 106
-176 115 62 30 107
-177 116 63 31 108
-178 117 64 32 109
-179 33 110 118 65
-180 1 34 111 119
-181 2 35 112 120
-182 121 3 36 113
-183 122 4 37 114
-184 123 5 38 115
-185 124 6 39 116
-186 125 7 40 117
-187 126 8 41 118
-188 127 9 42 119
-189 128 10 43 120
-190 11 44 121 129
-191 12 45 122 130
-192 66 13 46 123
-193 67 14 47 124
-194 68 15 48 125
-195 69 16 49 126
0

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