Graph forms
for C4 [ 200, 13 ] = PS(8,25;7)
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On this page are computer-accessible forms for the graph C4[ 200, 13 ] =
PS(8,25;7).
(I) Following is a form readable by MAGMA:
g:=Graph<200|{ {25, 26}, {125, 126}, {48, 55}, {75, 76}, {96, 103}, {144, 151},
{49, 56}, {97, 104}, {99, 106}, {145, 152}, {147, 154}, {149, 156}, {50, 57},
{98, 105}, {146, 153}, {150, 157}, {100, 107}, {148, 155}, {33, 51}, {36, 54},
{37, 55}, {40, 58}, {41, 59}, {44, 62}, {45, 63}, {96, 114}, {97, 115}, {100,
118}, {133, 151}, {136, 154}, {137, 155}, {140, 158}, {141, 159}, {34, 52}, {35,
53}, {42, 60}, {43, 61}, {98, 116}, {99, 117}, {138, 156}, {139, 157}, {2, 26},
{71, 95}, {70, 94}, {69, 93}, {68, 92}, {67, 91}, {66, 90}, {65, 89}, {64, 88},
{3, 27}, {4, 28}, {5, 29}, {6, 30}, {7, 31}, {102, 126}, {103, 127}, {160, 184},
{161, 185}, {162, 186}, {163, 187}, {164, 188}, {165, 189}, {166, 190}, {167,
191}, {45, 52}, {47, 54}, {1, 27}, {69, 95}, {68, 94}, {65, 91}, {64, 90}, {4,
30}, {5, 31}, {101, 127}, {160, 186}, {161, 187}, {164, 190}, {165, 191}, {46,
53}, {2, 28}, {67, 93}, {66, 92}, {3, 29}, {38, 56}, {39, 57}, {134, 152}, {135,
153}, {162, 188}, {163, 189}, {44, 51}, {175, 176}, {26, 58}, {93, 125}, {92,
124}, {91, 123}, {90, 122}, {89, 121}, {88, 120}, {87, 119}, {86, 118}, {85,
117}, {84, 116}, {83, 115}, {82, 114}, {81, 113}, {80, 112}, {79, 111}, {78,
110}, {77, 109}, {76, 108}, {27, 59}, {28, 60}, {29, 61}, {30, 62}, {31, 63},
{128, 160}, {129, 161}, {130, 162}, {131, 163}, {132, 164}, {133, 165}, {134,
166}, {135, 167}, {136, 168}, {137, 169}, {138, 170}, {139, 171}, {140, 172},
{141, 173}, {142, 174}, {143, 175}, {6, 32}, {71, 97}, {70, 96}, {7, 33}, {14,
40}, {15, 41}, {22, 48}, {23, 49}, {151, 177}, {158, 184}, {159, 185}, {8, 32},
{75, 99}, {74, 98}, {73, 97}, {72, 96}, {9, 33}, {10, 34}, {11, 35}, {12, 36},
{13, 37}, {14, 38}, {15, 39}, {24, 48}, {25, 49}, {152, 176}, {153, 177}, {154,
178}, {155, 179}, {156, 180}, {157, 181}, {158, 182}, {159, 183}, {8, 34}, {73,
99}, {72, 98}, {9, 35}, {12, 38}, {13, 39}, {24, 50}, {152, 178}, {153, 179},
{156, 182}, {157, 183}, {80, 123}, {128, 171}, {132, 175}, {81, 124}, {129,
172}, {131, 174}, {10, 36}, {95, 113}, {94, 112}, {74, 100}, {11, 37}, {142,
160}, {143, 161}, {154, 180}, {155, 181}, {82, 125}, {130, 173}, {84, 102}, {93,
111}, {92, 110}, {89, 107}, {88, 106}, {85, 103}, {144, 162}, {145, 163}, {148,
166}, {149, 167}, {1, 50}, {77, 120}, {79, 122}, {83, 101}, {91, 109}, {90,
108}, {146, 164}, {147, 165}, {78, 121}, {16, 40}, {17, 41}, {18, 42}, {19, 43},
{20, 44}, {21, 45}, {22, 46}, {23, 47}, {95, 102}, {16, 42}, {17, 43}, {20, 46},
{21, 47}, {76, 119}, {94, 101}, {18, 44}, {87, 105}, {86, 104}, {19, 45}, {150,
168}, {29, 72}, {31, 74}, {30, 73}, {51, 100}, {28, 71}, {27, 70}, {26, 69},
{151, 200}, {32, 64}, {33, 65}, {34, 66}, {35, 67}, {36, 68}, {37, 69}, {38,
70}, {39, 71}, {40, 72}, {41, 73}, {42, 74}, {43, 75}, {54, 80}, {174, 200},
{63, 89}, {62, 88}, {55, 81}, {166, 192}, {167, 193}, {56, 80}, {175, 199},
{174, 198}, {173, 197}, {172, 196}, {171, 195}, {170, 194}, {169, 193}, {63,
87}, {62, 86}, {61, 85}, {60, 84}, {59, 83}, {58, 82}, {57, 81}, {168, 192},
{56, 82}, {173, 199}, {172, 198}, {169, 195}, {168, 194}, {61, 87}, {60, 86},
{57, 83}, {32, 75}, {46, 64}, {171, 197}, {170, 196}, {59, 85}, {58, 84}, {47,
65}, {48, 66}, {49, 67}, {50, 68}, {52, 76}, {55, 79}, {54, 78}, {53, 77}, {52,
78}, {53, 79}, {51, 77}, {19, 176}, {23, 180}, {20, 177}, {22, 179}, {21, 178},
{16, 184}, {17, 185}, {18, 186}, {19, 187}, {20, 188}, {21, 189}, {22, 190},
{23, 191}, {24, 181}, {25, 182}, {1, 183}, {8, 190}, {9, 191}, {8, 176}, {9,
177}, {10, 178}, {11, 179}, {12, 180}, {13, 181}, {14, 182}, {15, 183}, {2,
184}, {3, 185}, {6, 188}, {7, 189}, {4, 186}, {5, 187}, {2, 195}, {4, 197}, {6,
199}, {1, 194}, {5, 198}, {3, 196}, {10, 192}, {11, 193}, {14, 196}, {15, 197},
{12, 194}, {13, 195}, {7, 200}, {127, 170}, {16, 198}, {17, 199}, {126, 169},
{24, 192}, {25, 193}, {18, 200}, {126, 158}, {127, 159}, {102, 128}, {103, 129},
{110, 136}, {111, 137}, {118, 144}, {119, 145}, {104, 128}, {105, 129}, {106,
130}, {107, 131}, {108, 132}, {109, 133}, {110, 134}, {111, 135}, {120, 144},
{121, 145}, {122, 146}, {123, 147}, {124, 148}, {125, 149}, {104, 130}, {105,
131}, {108, 134}, {109, 135}, {120, 146}, {121, 147}, {124, 150}, {106, 132},
{107, 133}, {122, 148}, {123, 149}, {101, 150}, {112, 136}, {113, 137}, {114,
138}, {115, 139}, {116, 140}, {117, 141}, {118, 142}, {119, 143}, {112, 138},
{113, 139}, {116, 142}, {117, 143}, {114, 140}, {115, 141} }>;
(II) A more general form is to represent the graph as the orbit of {25, 26}
under the group generated by the following permutations:
a: (1, 26)(2, 27)(3, 28)(4, 29)(5, 30)(6, 31)(7, 32)(8, 33)(9, 34)(10, 35)(11,
36)(12, 37)(13, 38)(14, 39)(15, 40)(16, 41)(17, 42)(18, 43)(19, 44)(20, 45)(21,
46)(22, 47)(23, 48)(24, 49)(25, 50)(51, 176)(52, 177)(53, 178)(54, 179)(55,
180)(56, 181)(57, 182)(58, 183)(59, 184)(60, 185)(61, 186)(62, 187)(63, 188)(64,
189)(65, 190)(66, 191)(67, 192)(68, 193)(69, 194)(70, 195)(71, 196)(72, 197)(73,
198)(74, 199)(75, 200)(76, 151)(77, 152)(78, 153)(79, 154)(80, 155)(81, 156)(82,
157)(83, 158)(84, 159)(85, 160)(86, 161)(87, 162)(88, 163)(89, 164)(90, 165)(91,
166)(92, 167)(93, 168)(94, 169)(95, 170)(96, 171)(97, 172)(98, 173)(99,
174)(100, 175)(101, 126)(102, 127)(103, 128)(104, 129)(105, 130)(106, 131)(107,
132)(108, 133)(109, 134)(110, 135)(111, 136)(112, 137)(113, 138)(114, 139)(115,
140)(116, 141)(117, 142)(118, 143)(119, 144)(120, 145)(121, 146)(122, 147)(123,
148)(124, 149)(125, 150) (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 **************
b: (2, 19, 25, 8)(3, 12, 24, 15)(4, 5, 23, 22)(6, 16, 21, 11)(7, 9, 20, 18)(10,
13, 17, 14)(26, 176)(27, 194, 50, 183)(28, 187, 49, 190)(29, 180, 48, 197)(30,
198, 47, 179)(31, 191, 46, 186)(32, 184, 45, 193)(33, 177, 44, 200)(34, 195, 43,
182)(35, 188, 42, 189)(36, 181, 41, 196)(37, 199, 40, 178)(38, 192, 39, 185)(51,
151)(52, 169, 75, 158)(53, 162, 74, 165)(54, 155, 73, 172)(55, 173, 72, 154)(56,
166, 71, 161)(57, 159, 70, 168)(58, 152, 69, 175)(59, 170, 68, 157)(60, 163, 67,
164)(61, 156, 66, 171)(62, 174, 65, 153)(63, 167, 64, 160)(76, 126)(77, 144,
100, 133)(78, 137, 99, 140)(79, 130, 98, 147)(80, 148, 97, 129)(81, 141, 96,
136)(82, 134, 95, 143)(83, 127, 94, 150)(84, 145, 93, 132)(85, 138, 92, 139)(86,
131, 91, 146)(87, 149, 90, 128)(88, 142, 89, 135)(102, 119, 125, 108)(103, 112,
124, 115)(104, 105, 123, 122)(106, 116, 121, 111)(107, 109, 120, 118)(110, 113,
117, 114)
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)(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,
196, 197, 198, 199, 200)
C4[ 200, 13 ]
200
-1 27 50 183 194
-2 26 28 184 195
-3 27 29 185 196
-4 28 30 186 197
-5 187 198 29 31
-6 188 199 30 32
-7 33 189 200 31
-8 176 34 190 32
-9 33 177 35 191
-10 34 178 36 192
-11 35 179 37 193
-12 36 180 38 194
-13 37 181 39 195
-14 38 182 40 196
-15 39 183 41 197
-16 198 40 184 42
-17 199 41 185 43
-18 44 200 42 186
-19 176 187 45 43
-20 44 177 188 46
-21 45 178 189 47
-22 46 179 190 48
-23 47 180 191 49
-24 48 181 192 50
-25 26 49 182 193
-26 2 25 58 69
-27 1 3 59 70
-28 2 4 60 71
-29 3 5 61 72
-30 4 6 62 73
-31 5 7 63 74
-32 6 8 64 75
-33 7 51 9 65
-34 66 8 52 10
-35 11 67 9 53
-36 12 68 10 54
-37 11 55 13 69
-38 12 56 14 70
-39 13 57 15 71
-40 14 58 16 72
-41 15 59 17 73
-42 16 60 18 74
-43 17 61 19 75
-44 18 51 62 20
-45 19 52 63 21
-46 22 20 53 64
-47 23 21 54 65
-48 22 55 66 24
-49 23 56 67 25
-50 1 24 57 68
-51 33 44 77 100
-52 34 45 78 76
-53 77 35 46 79
-54 78 36 47 80
-55 79 37 48 81
-56 80 38 49 82
-57 81 39 50 83
-58 26 82 40 84
-59 27 83 41 85
-60 28 84 42 86
-61 29 85 43 87
-62 44 88 30 86
-63 45 89 31 87
-64 88 46 90 32
-65 33 89 47 91
-66 34 90 48 92
-67 35 91 49 93
-68 36 92 50 94
-69 26 37 93 95
-70 27 38 94 96
-71 28 39 95 97
-72 29 40 96 98
-73 99 30 41 97
-74 100 31 42 98
-75 99 32 43 76
-76 52 75 108 119
-77 51 53 109 120
-78 110 121 52 54
-79 55 111 122 53
-80 56 112 123 54
-81 55 57 113 124
-82 56 58 114 125
-83 57 101 59 115
-84 58 102 60 116
-85 59 103 61 117
-86 60 104 62 118
-87 61 105 63 119
-88 62 106 64 120
-89 121 63 107 65
-90 66 122 64 108
-91 67 123 65 109
-92 66 110 68 124
-93 67 111 69 125
-94 68 101 112 70
-95 69 102 113 71
-96 70 103 114 72
-97 71 104 115 73
-98 72 105 116 74
-99 73 106 117 75
-100 51 74 107 118
-101 83 94 127 150
-102 126 84 95 128
-103 127 85 96 129
-104 128 86 97 130
-105 129 87 98 131
-106 88 99 132 130
-107 89 100 133 131
-108 132 90 134 76
-109 77 133 91 135
-110 78 134 92 136
-111 79 135 93 137
-112 80 136 94 138
-113 81 137 95 139
-114 82 138 96 140
-115 83 139 97 141
-116 84 140 98 142
-117 99 143 85 141
-118 100 144 86 142
-119 143 145 76 87
-120 77 88 144 146
-121 78 89 145 147
-122 79 90 146 148
-123 80 91 147 149
-124 81 92 148 150
-125 82 93 126 149
-126 102 125 158 169
-127 101 103 159 170
-128 102 104 160 171
-129 103 105 161 172
-130 104 106 162 173
-131 105 107 163 174
-132 106 108 164 175
-133 165 107 151 109
-134 110 166 108 152
-135 111 167 109 153
-136 110 154 112 168
-137 111 155 113 169
-138 112 156 114 170
-139 113 157 115 171
-140 114 158 116 172
-141 115 159 117 173
-142 116 160 118 174
-143 117 161 119 175
-144 118 151 162 120
-145 121 119 152 163
-146 122 120 153 164
-147 121 154 165 123
-148 122 155 166 124
-149 123 156 167 125
-150 101 124 157 168
-151 133 144 177 200
-152 176 134 145 178
-153 177 135 146 179
-154 178 136 147 180
-155 179 137 148 181
-156 180 138 149 182
-157 181 139 150 183
-158 126 182 140 184
-159 127 183 141 185
-160 128 184 142 186
-161 143 187 129 185
-162 144 188 130 186
-163 187 145 189 131
-164 132 188 146 190
-165 133 189 147 191
-166 134 190 148 192
-167 135 191 149 193
-168 136 192 150 194
-169 126 137 193 195
-170 127 138 194 196
-171 128 139 195 197
-172 198 129 140 196
-173 199 130 141 197
-174 198 200 131 142
-175 132 143 176 199
-176 8 19 152 175
-177 151 9 20 153
-178 154 152 10 21
-179 11 22 155 153
-180 154 12 23 156
-181 155 13 24 157
-182 156 14 25 158
-183 1 157 15 159
-184 2 158 16 160
-185 3 159 17 161
-186 4 160 18 162
-187 5 161 19 163
-188 6 162 20 164
-189 165 7 163 21
-190 22 166 8 164
-191 165 23 167 9
-192 166 24 168 10
-193 11 167 25 169
-194 1 12 168 170
-195 2 13 169 171
-196 3 14 170 172
-197 4 15 171 173
-198 5 16 172 174
-199 6 17 173 175
-200 7 18 151 174
0