Graph forms
for C4 [ 208, 7 ] = PS(16,13;5)
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On this page are computer-accessible forms for the graph C4[ 208, 7 ] =
PS(16,13;5).
(I) Following is a form readable by MAGMA:
g:=Graph<208|{ {13, 14}, {65, 66}, {117, 118}, {169, 170}, {24, 29}, {178, 183},
{74, 79}, {26, 31}, {48, 53}, {50, 55}, {104, 109}, {128, 133}, {130, 135},
{152, 157}, {154, 159}, {25, 30}, {195, 196}, {91, 92}, {49, 54}, {129, 134},
{153, 158}, {19, 27}, {182, 190}, {181, 189}, {180, 188}, {179, 187}, {178,
186}, {177, 185}, {176, 184}, {100, 108}, {99, 107}, {98, 106}, {97, 105}, {71,
79}, {20, 28}, {21, 29}, {22, 30}, {23, 31}, {48, 56}, {49, 57}, {50, 58}, {51,
59}, {52, 60}, {101, 109}, {102, 110}, {103, 111}, {128, 136}, {129, 137}, {130,
138}, {149, 157}, {150, 158}, {151, 159}, {23, 28}, {179, 184}, {51, 56}, {103,
108}, {2, 14}, {195, 207}, {194, 206}, {193, 205}, {192, 204}, {83, 95}, {82,
94}, {81, 93}, {80, 92}, {65, 77}, {64, 76}, {3, 15}, {32, 44}, {33, 45}, {34,
46}, {35, 47}, {112, 124}, {113, 125}, {114, 126}, {115, 127}, {160, 172}, {161,
173}, {162, 174}, {163, 175}, {22, 27}, {182, 187}, {180, 185}, {100, 105}, {52,
57}, {102, 107}, {1, 15}, {193, 207}, {192, 206}, {81, 95}, {80, 94}, {64, 78},
{32, 46}, {33, 47}, {112, 126}, {113, 127}, {160, 174}, {161, 175}, {39, 40},
{181, 186}, {101, 106}, {2, 16}, {194, 208}, {97, 115}, {96, 114}, {79, 93},
{73, 91}, {72, 90}, {69, 87}, {68, 86}, {3, 17}, {6, 20}, {7, 21}, {10, 24},
{11, 25}, {34, 48}, {35, 49}, {38, 52}, {40, 58}, {41, 59}, {44, 62}, {45, 63},
{106, 120}, {107, 121}, {110, 124}, {111, 125}, {131, 145}, {134, 148}, {135,
149}, {138, 152}, {139, 153}, {142, 156}, {162, 176}, {163, 177}, {166, 180},
{167, 181}, {172, 190}, {173, 191}, {4, 16}, {5, 17}, {6, 18}, {7, 19}, {12,
24}, {13, 25}, {36, 48}, {37, 49}, {38, 50}, {39, 51}, {108, 120}, {109, 121},
{110, 122}, {111, 123}, {132, 144}, {133, 145}, {134, 146}, {135, 147}, {140,
152}, {141, 153}, {142, 154}, {143, 155}, {164, 176}, {165, 177}, {166, 178},
{167, 179}, {40, 61}, {96, 117}, {66, 87}, {42, 63}, {170, 191}, {4, 18}, {99,
117}, {98, 116}, {67, 85}, {66, 84}, {5, 19}, {12, 26}, {36, 50}, {37, 51}, {42,
60}, {43, 61}, {108, 122}, {109, 123}, {132, 146}, {133, 147}, {140, 154}, {141,
155}, {164, 178}, {165, 179}, {170, 188}, {171, 189}, {41, 62}, {45, 53}, {175,
183}, {78, 86}, {77, 85}, {76, 84}, {75, 83}, {74, 82}, {73, 81}, {72, 80}, {46,
54}, {47, 55}, {104, 112}, {1, 26}, {75, 80}, {67, 88}, {8, 20}, {9, 21}, {10,
22}, {11, 23}, {106, 118}, {107, 119}, {136, 148}, {137, 149}, {138, 150}, {139,
151}, {168, 180}, {169, 181}, {68, 89}, {78, 83}, {76, 81}, {70, 91}, {8, 22},
{71, 89}, {70, 88}, {9, 23}, {105, 119}, {136, 150}, {137, 151}, {168, 182},
{69, 90}, {77, 82}, {131, 156}, {143, 144}, {79, 104}, {15, 36}, {95, 116},
{157, 182}, {14, 35}, {94, 115}, {92, 113}, {14, 32}, {95, 113}, {94, 112}, {15,
33}, {27, 52}, {93, 114}, {16, 34}, {93, 111}, {92, 110}, {90, 104}, {87, 101},
{86, 100}, {83, 97}, {82, 96}, {17, 35}, {20, 38}, {21, 39}, {27, 41}, {30, 44},
{31, 45}, {144, 162}, {145, 163}, {148, 166}, {149, 167}, {158, 172}, {159,
173}, {28, 40}, {87, 99}, {86, 98}, {85, 97}, {84, 96}, {29, 41}, {30, 42}, {31,
43}, {158, 170}, {159, 171}, {16, 37}, {18, 39}, {144, 165}, {146, 167}, {18,
36}, {85, 99}, {84, 98}, {19, 37}, {28, 42}, {29, 43}, {146, 164}, {147, 165},
{157, 171}, {17, 38}, {145, 166}, {24, 32}, {25, 33}, {26, 34}, {152, 160},
{153, 161}, {154, 162}, {155, 163}, {156, 164}, {147, 168}, {155, 160}, {88,
100}, {91, 103}, {90, 102}, {89, 101}, {148, 169}, {156, 161}, {88, 102}, {89,
103}, {150, 168}, {151, 169}, {183, 208}, {43, 64}, {171, 192}, {44, 65}, {174,
195}, {172, 193}, {46, 64}, {175, 193}, {47, 65}, {174, 192}, {173, 194}, {54,
68}, {191, 205}, {190, 204}, {187, 201}, {186, 200}, {183, 197}, {177, 195},
{176, 194}, {63, 77}, {62, 76}, {55, 69}, {58, 72}, {59, 73}, {54, 66}, {191,
203}, {190, 202}, {189, 201}, {188, 200}, {63, 75}, {62, 74}, {61, 73}, {55,
67}, {60, 72}, {53, 67}, {189, 203}, {188, 202}, {61, 75}, {60, 74}, {53, 78},
{56, 68}, {187, 199}, {186, 198}, {185, 197}, {184, 196}, {57, 69}, {58, 70},
{59, 71}, {56, 70}, {185, 199}, {184, 198}, {57, 71}, {6, 196}, {7, 197}, {10,
200}, {11, 201}, {13, 200}, {12, 202}, {13, 203}, {1, 201}, {2, 202}, {3, 203},
{4, 204}, {5, 205}, {6, 206}, {7, 207}, {4, 207}, {12, 199}, {1, 204}, {3, 206},
{9, 196}, {11, 198}, {8, 198}, {9, 199}, {2, 205}, {10, 197}, {5, 208}, {8,
208}, {105, 130}, {114, 128}, {115, 129}, {120, 138}, {121, 139}, {124, 142},
{125, 143}, {116, 128}, {117, 129}, {120, 141}, {122, 143}, {116, 130}, {122,
140}, {123, 141}, {121, 142}, {123, 131}, {124, 132}, {125, 133}, {126, 134},
{127, 135}, {119, 140}, {127, 132}, {118, 139}, {126, 131}, {118, 136}, {119,
137} }>;
(II) A more general form is to represent the graph as the orbit of {13, 14}
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)(196,
197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208) (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: (1, 14)(2, 15)(3, 16)(4, 17)(5, 18)(6, 19)(7, 20)(8, 21)(9, 22)(10, 23)(11,
24)(12, 25)(13, 26)(27, 196)(28, 197)(29, 198)(30, 199)(31, 200)(32, 201)(33,
202)(34, 203)(35, 204)(36, 205)(37, 206)(38, 207)(39, 208)(40, 183)(41, 184)(42,
185)(43, 186)(44, 187)(45, 188)(46, 189)(47, 190)(48, 191)(49, 192)(50, 193)(51,
194)(52, 195)(53, 170)(54, 171)(55, 172)(56, 173)(57, 174)(58, 175)(59, 176)(60,
177)(61, 178)(62, 179)(63, 180)(64, 181)(65, 182)(66, 157)(67, 158)(68, 159)(69,
160)(70, 161)(71, 162)(72, 163)(73, 164)(74, 165)(75, 166)(76, 167)(77, 168)(78,
169)(79, 144)(80, 145)(81, 146)(82, 147)(83, 148)(84, 149)(85, 150)(86, 151)(87,
152)(88, 153)(89, 154)(90, 155)(91, 156)(92, 131)(93, 132)(94, 133)(95, 134)(96,
135)(97, 136)(98, 137)(99, 138)(100, 139)(101, 140)(102, 141)(103, 142)(104,
143)(105, 118)(106, 119)(107, 120)(108, 121)(109, 122)(110, 123)(111, 124)(112,
125)(113, 126)(114, 127)(115, 128)(116, 129)(117, 130)
c: (2, 9, 13, 6)(3, 4, 12, 11)(5, 7, 10, 8)(14, 196)(15, 204, 26, 201)(16, 199,
25, 206)(17, 207, 24, 198)(18, 202, 23, 203)(19, 197, 22, 208)(20, 205, 21,
200)(27, 183)(28, 191, 39, 188)(29, 186, 38, 193)(30, 194, 37, 185)(31, 189, 36,
190)(32, 184, 35, 195)(33, 192, 34, 187)(40, 170)(41, 178, 52, 175)(42, 173, 51,
180)(43, 181, 50, 172)(44, 176, 49, 177)(45, 171, 48, 182)(46, 179, 47, 174)(53,
157)(54, 165, 65, 162)(55, 160, 64, 167)(56, 168, 63, 159)(57, 163, 62, 164)(58,
158, 61, 169)(59, 166, 60, 161)(66, 144)(67, 152, 78, 149)(68, 147, 77, 154)(69,
155, 76, 146)(70, 150, 75, 151)(71, 145, 74, 156)(72, 153, 73, 148)(79, 131)(80,
139, 91, 136)(81, 134, 90, 141)(82, 142, 89, 133)(83, 137, 88, 138)(84, 132, 87,
143)(85, 140, 86, 135)(92, 118)(93, 126, 104, 123)(94, 121, 103, 128)(95, 129,
102, 120)(96, 124, 101, 125)(97, 119, 100, 130)(98, 127, 99, 122)(106, 113, 117,
110)(107, 108, 116, 115)(109, 111, 114, 112)
C4[ 208, 7 ]
208
-1 201 15 26 204
-2 14 202 16 205
-3 15 203 17 206
-4 16 204 18 207
-5 17 205 19 208
-6 18 206 20 196
-7 19 207 21 197
-8 22 198 20 208
-9 23 199 196 21
-10 22 24 200 197
-11 198 23 25 201
-12 199 24 26 202
-13 200 14 25 203
-14 2 13 35 32
-15 33 1 3 36
-16 34 2 4 37
-17 35 3 5 38
-18 36 4 6 39
-19 37 5 27 7
-20 38 6 28 8
-21 39 7 29 9
-22 27 8 30 10
-23 11 28 9 31
-24 12 29 10 32
-25 11 33 13 30
-26 1 12 34 31
-27 22 19 41 52
-28 23 40 20 42
-29 24 41 21 43
-30 22 44 25 42
-31 23 45 26 43
-32 44 24 46 14
-33 45 25 47 15
-34 46 26 48 16
-35 14 47 49 17
-36 15 48 50 18
-37 16 49 51 19
-38 17 50 52 20
-39 18 40 51 21
-40 58 28 39 61
-41 59 27 29 62
-42 60 28 30 63
-43 61 29 31 64
-44 62 30 32 65
-45 33 63 31 53
-46 34 64 32 54
-47 33 55 35 65
-48 34 56 36 53
-49 35 57 37 54
-50 55 36 58 38
-51 56 37 59 39
-52 57 27 38 60
-53 45 67 78 48
-54 66 46 68 49
-55 67 47 69 50
-56 68 48 70 51
-57 69 49 71 52
-58 70 50 72 40
-59 71 51 73 41
-60 72 52 74 42
-61 40 73 75 43
-62 44 41 74 76
-63 77 45 42 75
-64 78 46 43 76
-65 44 66 77 47
-66 84 54 65 87
-67 55 88 85 53
-68 56 89 86 54
-69 55 57 90 87
-70 88 56 58 91
-71 89 57 79 59
-72 90 58 80 60
-73 91 59 81 61
-74 79 60 82 62
-75 80 61 83 63
-76 81 62 84 64
-77 82 63 85 65
-78 83 53 64 86
-79 71 93 104 74
-80 92 72 94 75
-81 93 73 95 76
-82 77 94 74 96
-83 78 95 75 97
-84 66 96 76 98
-85 77 99 67 97
-86 78 100 68 98
-87 66 99 101 69
-88 67 100 102 70
-89 68 101 103 71
-90 69 102 104 72
-91 70 92 103 73
-92 110 80 91 113
-93 111 79 81 114
-94 112 80 82 115
-95 113 81 83 116
-96 114 82 84 117
-97 115 83 105 85
-98 116 84 106 86
-99 117 85 107 87
-100 88 105 86 108
-101 89 106 87 109
-102 88 110 90 107
-103 89 111 91 108
-104 79 90 112 109
-105 100 97 119 130
-106 101 118 98 120
-107 99 121 102 119
-108 100 122 103 120
-109 121 101 123 104
-110 122 102 124 92
-111 123 103 125 93
-112 124 104 126 94
-113 92 125 127 95
-114 93 126 128 96
-115 94 127 129 97
-116 95 128 130 98
-117 99 96 118 129
-118 136 106 117 139
-119 137 105 107 140
-120 138 106 108 141
-121 139 107 109 142
-122 110 143 140 108
-123 111 141 109 131
-124 110 132 112 142
-125 143 111 133 113
-126 112 134 114 131
-127 132 113 135 115
-128 133 114 136 116
-129 134 115 137 117
-130 135 105 116 138
-131 123 145 156 126
-132 144 124 146 127
-133 145 125 147 128
-134 146 126 148 129
-135 147 127 149 130
-136 148 128 150 118
-137 149 129 151 119
-138 150 130 152 120
-139 121 118 151 153
-140 154 122 119 152
-141 155 123 120 153
-142 121 154 156 124
-143 122 144 155 125
-144 132 143 165 162
-145 133 166 163 131
-146 132 134 167 164
-147 165 133 135 168
-148 166 134 136 169
-149 167 135 157 137
-150 168 136 158 138
-151 169 137 159 139
-152 157 138 160 140
-153 158 139 161 141
-154 159 140 162 142
-155 143 160 141 163
-156 161 131 142 164
-157 149 171 182 152
-158 170 150 172 153
-159 154 171 151 173
-160 155 172 152 174
-161 156 173 153 175
-162 154 176 144 174
-163 155 177 145 175
-164 176 156 178 146
-165 144 177 179 147
-166 145 178 180 148
-167 146 179 181 149
-168 147 180 182 150
-169 148 170 181 151
-170 188 158 169 191
-171 189 157 159 192
-172 190 158 160 193
-173 191 159 161 194
-174 192 160 162 195
-175 193 161 183 163
-176 194 162 184 164
-177 165 195 163 185
-178 166 183 164 186
-179 165 187 167 184
-180 166 188 168 185
-181 167 189 169 186
-182 187 157 168 190
-183 178 175 197 208
-184 176 198 179 196
-185 177 199 180 197
-186 198 178 200 181
-187 199 179 201 182
-188 200 180 202 170
-189 201 181 203 171
-190 202 182 204 172
-191 170 203 205 173
-192 171 204 206 174
-193 172 205 207 175
-194 176 173 206 208
-195 177 174 196 207
-196 6 184 195 9
-197 7 183 185 10
-198 11 8 184 186
-199 187 12 9 185
-200 188 13 10 186
-201 11 187 1 189
-202 12 188 2 190
-203 13 189 3 191
-204 1 190 4 192
-205 2 191 5 193
-206 3 192 6 194
-207 4 193 7 195
-208 5 183 194 8
0