Graph forms
for C4 [ 252, 18 ] = PS(6,84;29)
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On this page are computer-accessible forms for the graph C4[ 252, 18 ] =
PS(6,84;29).
(I) Following is a form readable by MAGMA:
g:=Graph<252|{ {80, 95}, {160, 175}, {71, 86}, {79, 94}, {77, 92}, {75, 90},
{73, 88}, {161, 176}, {163, 178}, {165, 180}, {167, 182}, {70, 85}, {78, 93},
{74, 89}, {162, 177}, {166, 181}, {76, 91}, {164, 179}, {64, 92}, {67, 95}, {66,
94}, {65, 93}, {160, 188}, {161, 189}, {162, 190}, {163, 191}, {72, 87}, {168,
183}, {68, 96}, {84, 112}, {79, 107}, {78, 106}, {77, 105}, {76, 104}, {71, 99},
{70, 98}, {69, 97}, {141, 169}, {142, 170}, {143, 171}, {148, 176}, {149, 177},
{150, 178}, {151, 179}, {156, 184}, {157, 185}, {158, 186}, {159, 187}, {2, 43},
{210, 251}, {208, 249}, {86, 127}, {4, 45}, {6, 47}, {16, 57}, {18, 59}, {20,
61}, {22, 63}, {192, 233}, {194, 235}, {196, 237}, {198, 239}, {1, 43}, {209,
251}, {208, 250}, {85, 127}, {4, 46}, {5, 47}, {16, 58}, {17, 59}, {20, 62},
{21, 63}, {192, 234}, {193, 235}, {196, 238}, {197, 239}, {5, 46}, {209, 250},
{17, 58}, {21, 62}, {193, 234}, {197, 238}, {72, 100}, {75, 103}, {74, 102},
{73, 101}, {152, 180}, {153, 181}, {154, 182}, {155, 183}, {2, 44}, {210, 252},
{3, 45}, {18, 60}, {19, 61}, {194, 236}, {195, 237}, {3, 44}, {19, 60}, {195,
236}, {81, 96}, {83, 98}, {155, 170}, {157, 172}, {159, 174}, {82, 97}, {154,
169}, {158, 173}, {6, 48}, {207, 249}, {206, 248}, {7, 49}, {14, 56}, {15, 57},
{198, 240}, {199, 241}, {7, 48}, {207, 248}, {84, 99}, {15, 56}, {156, 171},
{199, 240}, {8, 49}, {206, 247}, {68, 125}, {66, 123}, {64, 121}, {10, 51}, {12,
53}, {14, 55}, {128, 185}, {130, 187}, {132, 189}, {134, 191}, {200, 241}, {202,
243}, {204, 245}, {8, 50}, {205, 247}, {204, 246}, {9, 51}, {12, 54}, {13, 55},
{200, 242}, {201, 243}, {9, 50}, {205, 246}, {69, 126}, {65, 122}, {13, 54},
{129, 186}, {133, 190}, {201, 242}, {80, 108}, {83, 111}, {82, 110}, {81, 109},
{144, 172}, {145, 173}, {146, 174}, {147, 175}, {10, 52}, {11, 53}, {202, 244},
{203, 245}, {11, 52}, {67, 124}, {131, 188}, {203, 244}, {48, 118}, {56, 126},
{49, 119}, {128, 198}, {129, 199}, {136, 206}, {137, 207}, {47, 104}, {63, 120},
{55, 112}, {135, 192}, {143, 200}, {151, 208}, {44, 101}, {62, 119}, {60, 117},
{58, 115}, {56, 113}, {46, 103}, {136, 193}, {138, 195}, {140, 197}, {142, 199},
{152, 209}, {50, 120}, {55, 125}, {54, 124}, {51, 121}, {130, 200}, {131, 201},
{134, 204}, {135, 205}, {45, 102}, {61, 118}, {57, 114}, {137, 194}, {141, 198},
{153, 210}, {52, 122}, {53, 123}, {132, 202}, {133, 203}, {43, 100}, {59, 116},
{139, 196}, {1, 84}, {169, 252}, {22, 64}, {23, 65}, {30, 72}, {31, 73}, {182,
224}, {183, 225}, {190, 232}, {191, 233}, {23, 64}, {31, 72}, {183, 224}, {191,
232}, {24, 65}, {54, 111}, {52, 109}, {26, 67}, {28, 69}, {30, 71}, {48, 105},
{50, 107}, {144, 201}, {146, 203}, {148, 205}, {150, 207}, {184, 225}, {186,
227}, {188, 229}, {190, 231}, {24, 66}, {25, 67}, {28, 70}, {29, 71}, {43, 113},
{46, 116}, {47, 117}, {138, 208}, {139, 209}, {184, 226}, {185, 227}, {188,
230}, {189, 231}, {25, 66}, {53, 110}, {29, 70}, {49, 106}, {145, 202}, {149,
206}, {185, 226}, {189, 230}, {26, 68}, {27, 69}, {44, 114}, {45, 115}, {140,
210}, {186, 228}, {187, 229}, {27, 68}, {51, 108}, {147, 204}, {187, 228}, {60,
88}, {63, 91}, {62, 90}, {61, 89}, {164, 192}, {165, 193}, {166, 194}, {167,
195}, {32, 73}, {34, 75}, {36, 77}, {38, 79}, {176, 217}, {178, 219}, {180,
221}, {182, 223}, {32, 74}, {33, 75}, {36, 78}, {37, 79}, {176, 218}, {177,
219}, {180, 222}, {181, 223}, {33, 74}, {37, 78}, {177, 218}, {181, 222}, {57,
85}, {59, 87}, {58, 86}, {168, 196}, {34, 76}, {35, 77}, {178, 220}, {179, 221},
{35, 76}, {179, 220}, {38, 80}, {39, 81}, {174, 216}, {175, 217}, {39, 80},
{175, 216}, {40, 81}, {42, 83}, {170, 211}, {172, 213}, {174, 215}, {40, 82},
{41, 83}, {169, 211}, {172, 214}, {173, 215}, {41, 82}, {173, 214}, {42, 84},
{170, 212}, {171, 213}, {171, 212}, {127, 197}, {16, 211}, {20, 215}, {24, 219},
{28, 223}, {32, 227}, {36, 231}, {40, 235}, {17, 212}, {19, 214}, {25, 220},
{27, 222}, {33, 228}, {35, 230}, {41, 236}, {18, 213}, {26, 221}, {34, 229},
{42, 237}, {127, 184}, {30, 212}, {31, 213}, {42, 224}, {21, 216}, {23, 218},
{37, 232}, {39, 234}, {29, 211}, {22, 217}, {38, 233}, {86, 128}, {95, 137},
{94, 136}, {87, 129}, {118, 160}, {119, 161}, {126, 168}, {87, 128}, {95, 136},
{119, 160}, {88, 129}, {94, 135}, {92, 133}, {90, 131}, {120, 161}, {122, 163},
{124, 165}, {126, 167}, {88, 130}, {93, 135}, {92, 134}, {89, 131}, {120, 162},
{121, 163}, {124, 166}, {125, 167}, {89, 130}, {93, 134}, {121, 162}, {125,
166}, {90, 132}, {91, 133}, {122, 164}, {123, 165}, {91, 132}, {123, 164}, {1,
225}, {2, 226}, {3, 227}, {4, 228}, {5, 229}, {6, 230}, {7, 231}, {8, 232}, {9,
233}, {10, 234}, {11, 235}, {12, 236}, {13, 237}, {14, 238}, {15, 239}, {16,
240}, {17, 241}, {18, 242}, {19, 243}, {20, 244}, {21, 245}, {22, 246}, {23,
247}, {24, 248}, {25, 249}, {26, 250}, {27, 251}, {28, 252}, {96, 137}, {114,
155}, {112, 153}, {102, 143}, {100, 141}, {98, 139}, {116, 157}, {118, 159},
{96, 138}, {113, 155}, {112, 154}, {101, 143}, {100, 142}, {97, 139}, {116,
158}, {117, 159}, {97, 138}, {113, 154}, {101, 142}, {117, 158}, {2, 239}, {98,
140}, {114, 156}, {99, 141}, {115, 157}, {1, 238}, {99, 140}, {115, 156}, {3,
240}, {7, 244}, {11, 248}, {15, 252}, {4, 241}, {6, 243}, {12, 249}, {14, 251},
{32, 214}, {111, 153}, {110, 152}, {103, 145}, {102, 144}, {33, 215}, {40, 222},
{41, 223}, {5, 242}, {111, 152}, {103, 144}, {13, 250}, {104, 145}, {110, 151},
{108, 149}, {106, 147}, {34, 216}, {109, 151}, {108, 150}, {105, 147}, {104,
146}, {35, 217}, {38, 220}, {39, 221}, {105, 146}, {109, 150}, {8, 245}, {85,
168}, {10, 247}, {29, 224}, {31, 226}, {36, 218}, {107, 149}, {106, 148}, {37,
219}, {9, 246}, {107, 148}, {30, 225} }>;
(II) A more general form is to represent the graph as the orbit of {80, 95}
under the group generated by the following permutations:
a: (2, 42)(3, 41)(4, 40)(5, 39)(6, 38)(7, 37)(8, 36)(9, 35)(10, 34)(11, 33)(12,
32)(13, 31)(14, 30)(15, 29)(16, 28)(17, 27)(18, 26)(19, 25)(20, 24)(21, 23)(43,
84)(44, 83)(45, 82)(46, 81)(47, 80)(48, 79)(49, 78)(50, 77)(51, 76)(52, 75)(53,
74)(54, 73)(55, 72)(56, 71)(57, 70)(58, 69)(59, 68)(60, 67)(61, 66)(62, 65)(63,
64)(86, 126)(87, 125)(88, 124)(89, 123)(90, 122)(91, 121)(92, 120)(93, 119)(94,
118)(95, 117)(96, 116)(97, 115)(98, 114)(99, 113)(100, 112)(101, 111)(102,
110)(103, 109)(104, 108)(105, 107)(127, 168)(128, 167)(129, 166)(130, 165)(131,
164)(132, 163)(133, 162)(134, 161)(135, 160)(136, 159)(137, 158)(138, 157)(139,
156)(140, 155)(141, 154)(142, 153)(143, 152)(144, 151)(145, 150)(146, 149)(147,
148)(170, 210)(171, 209)(172, 208)(173, 207)(174, 206)(175, 205)(176, 204)(177,
203)(178, 202)(179, 201)(180, 200)(181, 199)(182, 198)(183, 197)(184, 196)(185,
195)(186, 194)(187, 193)(188, 192)(189, 191)(211, 252)(212, 251)(213, 250)(214,
249)(215, 248)(216, 247)(217, 246)(218, 245)(219, 244)(220, 243)(221, 242)(222,
241)(223, 240)(224, 239)(225, 238)(226, 237)(227, 236)(228, 235)(229, 234)(230,
233)(231, 232) (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, 196, 30, 112)(3, 97, 17, 181)(4, 40)(5, 193, 33, 109)(6, 94, 20, 178)(7,
37)(8, 190, 36, 106)(9, 91, 23, 175)(10, 34)(11, 187, 39, 103)(12, 88, 26,
172)(13, 31)(14, 184, 42, 100)(15, 85, 29, 169)(16, 28)(18, 124, 32, 208)(19,
25)(21, 121, 35, 205)(24, 118, 38, 202)(27, 115, 41, 199)(43, 238, 225, 84)(44,
139, 212, 153)(45, 82, 241, 222)(46, 235, 228, 81)(47, 136, 215, 150)(48, 79,
244, 219)(49, 232, 231, 78)(50, 133, 218, 147)(51, 76, 247, 216)(52, 229, 234,
75)(53, 130, 221, 144)(54, 73, 250, 213)(55, 226, 237, 72)(56, 127, 224,
141)(57, 70, 211, 252)(58, 223, 240, 69)(59, 166, 227, 138)(60, 67, 214,
249)(61, 220, 243, 66)(62, 163, 230, 135)(63, 64, 217, 246)(65, 160, 233,
132)(68, 157, 236, 129)(71, 154, 239, 168)(74, 151, 242, 165)(77, 148, 245,
162)(80, 145, 248, 159)(83, 142, 251, 156)(86, 182, 198, 126)(87, 125, 185,
195)(89, 179, 201, 123)(90, 122, 188, 192)(92, 176, 204, 120)(93, 119, 191,
189)(95, 173, 207, 117)(96, 116, 194, 186)(98, 170, 210, 114)(99, 113, 197,
183)(101, 209, 171, 111)(102, 110, 200, 180)(104, 206, 174, 108)(105, 107, 203,
177)(128, 167)(131, 164)(134, 161)(137, 158)(140, 155)(143, 152)(146, 149)
c: (1, 43, 2, 44, 3, 45, 4, 46, 5, 47, 6, 48, 7, 49, 8, 50, 9, 51, 10, 52, 11,
53, 12, 54, 13, 55, 14, 56, 15, 57, 16, 58, 17, 59, 18, 60, 19, 61, 20, 62, 21,
63, 22, 64, 23, 65, 24, 66, 25, 67, 26, 68, 27, 69, 28, 70, 29, 71, 30, 72, 31,
73, 32, 74, 33, 75, 34, 76, 35, 77, 36, 78, 37, 79, 38, 80, 39, 81, 40, 82, 41,
83, 42, 84)(85, 211, 86, 212, 87, 213, 88, 214, 89, 215, 90, 216, 91, 217, 92,
218, 93, 219, 94, 220, 95, 221, 96, 222, 97, 223, 98, 224, 99, 225, 100, 226,
101, 227, 102, 228, 103, 229, 104, 230, 105, 231, 106, 232, 107, 233, 108, 234,
109, 235, 110, 236, 111, 237, 112, 238, 113, 239, 114, 240, 115, 241, 116, 242,
117, 243, 118, 244, 119, 245, 120, 246, 121, 247, 122, 248, 123, 249, 124, 250,
125, 251, 126, 252)(127, 170, 128, 171, 129, 172, 130, 173, 131, 174, 132, 175,
133, 176, 134, 177, 135, 178, 136, 179, 137, 180, 138, 181, 139, 182, 140, 183,
141, 184, 142, 185, 143, 186, 144, 187, 145, 188, 146, 189, 147, 190, 148, 191,
149, 192, 150, 193, 151, 194, 152, 195, 153, 196, 154, 197, 155, 198, 156, 199,
157, 200, 158, 201, 159, 202, 160, 203, 161, 204, 162, 205, 163, 206, 164, 207,
165, 208, 166, 209, 167, 210, 168, 169)
d: (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, 209, 210)(211, 212,
213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228,
229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244,
245, 246, 247, 248, 249, 250, 251, 252)
C4[ 252, 18 ]
252
-1 225 84 238 43
-2 44 226 239 43
-3 44 45 227 240
-4 45 46 228 241
-5 242 46 47 229
-6 243 47 48 230
-7 231 244 48 49
-8 232 245 49 50
-9 233 246 50 51
-10 234 247 51 52
-11 235 248 52 53
-12 236 249 53 54
-13 55 237 250 54
-14 55 56 238 251
-15 56 57 239 252
-16 57 211 58 240
-17 58 212 59 241
-18 242 59 213 60
-19 243 60 214 61
-20 244 61 215 62
-21 245 62 216 63
-22 246 63 217 64
-23 247 64 218 65
-24 66 248 65 219
-25 66 220 67 249
-26 67 221 68 250
-27 68 222 69 251
-28 69 223 70 252
-29 211 70 224 71
-30 212 71 225 72
-31 213 72 226 73
-32 214 73 227 74
-33 215 74 228 75
-34 216 75 229 76
-35 77 217 76 230
-36 77 231 78 218
-37 78 232 79 219
-38 220 79 233 80
-39 221 80 234 81
-40 222 81 235 82
-41 223 82 236 83
-42 224 83 237 84
-43 1 100 2 113
-44 2 101 3 114
-45 3 102 4 115
-46 4 103 5 116
-47 5 104 6 117
-48 6 105 7 118
-49 7 106 8 119
-50 8 107 9 120
-51 121 9 108 10
-52 11 122 10 109
-53 11 110 12 123
-54 12 111 13 124
-55 13 112 14 125
-56 14 113 15 126
-57 15 114 16 85
-58 16 115 17 86
-59 17 116 18 87
-60 88 18 117 19
-61 89 19 118 20
-62 90 20 119 21
-63 22 91 21 120
-64 22 121 23 92
-65 23 122 24 93
-66 24 123 25 94
-67 25 124 26 95
-68 26 125 27 96
-69 27 126 28 97
-70 28 29 85 98
-71 99 29 30 86
-72 100 30 31 87
-73 88 101 31 32
-74 33 89 102 32
-75 33 34 90 103
-76 34 35 91 104
-77 35 36 92 105
-78 36 37 93 106
-79 37 38 94 107
-80 38 39 95 108
-81 39 40 96 109
-82 110 40 41 97
-83 111 41 42 98
-84 99 1 112 42
-85 57 168 70 127
-86 58 71 127 128
-87 59 72 128 129
-88 60 73 129 130
-89 61 74 130 131
-90 132 62 75 131
-91 132 133 63 76
-92 77 133 134 64
-93 78 134 135 65
-94 66 79 135 136
-95 67 80 136 137
-96 68 81 137 138
-97 69 82 138 139
-98 70 83 139 140
-99 71 84 140 141
-100 72 141 43 142
-101 44 143 73 142
-102 143 45 144 74
-103 144 46 145 75
-104 145 47 146 76
-105 77 146 48 147
-106 78 147 49 148
-107 79 148 50 149
-108 80 149 51 150
-109 81 150 52 151
-110 82 151 53 152
-111 83 152 54 153
-112 55 154 84 153
-113 154 56 155 43
-114 44 155 57 156
-115 45 156 58 157
-116 46 157 59 158
-117 47 158 60 159
-118 48 159 61 160
-119 49 160 62 161
-120 50 161 63 162
-121 51 162 64 163
-122 52 163 65 164
-123 66 165 53 164
-124 165 67 166 54
-125 55 166 68 167
-126 56 167 69 168
-127 85 184 86 197
-128 198 86 185 87
-129 88 199 87 186
-130 88 187 89 200
-131 89 188 90 201
-132 90 189 91 202
-133 91 190 92 203
-134 92 191 93 204
-135 93 192 94 205
-136 94 193 95 206
-137 95 194 96 207
-138 96 195 97 208
-139 209 97 196 98
-140 99 210 98 197
-141 99 198 100 169
-142 100 199 101 170
-143 101 200 102 171
-144 102 201 103 172
-145 103 202 104 173
-146 104 203 105 174
-147 105 204 106 175
-148 176 106 205 107
-149 177 107 206 108
-150 178 108 207 109
-151 110 179 109 208
-152 110 209 111 180
-153 111 210 112 181
-154 112 113 169 182
-155 113 114 170 183
-156 114 115 171 184
-157 115 116 172 185
-158 116 117 173 186
-159 187 117 118 174
-160 188 118 119 175
-161 176 189 119 120
-162 121 177 190 120
-163 121 122 178 191
-164 122 123 179 192
-165 123 124 180 193
-166 124 125 181 194
-167 125 126 182 195
-168 126 183 85 196
-169 154 211 141 252
-170 155 211 212 142
-171 143 156 212 213
-172 144 157 213 214
-173 145 158 214 215
-174 146 159 215 216
-175 147 160 216 217
-176 148 161 217 218
-177 149 162 218 219
-178 220 150 163 219
-179 220 221 151 164
-180 165 221 222 152
-181 166 222 223 153
-182 154 167 223 224
-183 155 168 224 225
-184 156 225 127 226
-185 157 226 128 227
-186 158 227 129 228
-187 159 228 130 229
-188 160 229 131 230
-189 132 231 161 230
-190 231 133 232 162
-191 232 134 233 163
-192 233 135 234 164
-193 165 234 136 235
-194 166 235 137 236
-195 167 236 138 237
-196 168 237 139 238
-197 127 238 140 239
-198 128 239 141 240
-199 129 240 142 241
-200 143 242 130 241
-201 242 144 243 131
-202 132 243 145 244
-203 133 244 146 245
-204 134 245 147 246
-205 135 246 148 247
-206 136 247 149 248
-207 137 248 150 249
-208 138 249 151 250
-209 139 250 152 251
-210 140 251 153 252
-211 169 16 170 29
-212 170 17 171 30
-213 171 18 172 31
-214 172 19 173 32
-215 33 173 20 174
-216 34 174 21 175
-217 22 176 35 175
-218 176 23 177 36
-219 177 24 178 37
-220 178 25 179 38
-221 179 26 180 39
-222 180 27 181 40
-223 181 28 182 41
-224 182 29 183 42
-225 1 183 30 184
-226 2 184 31 185
-227 3 185 32 186
-228 33 187 4 186
-229 187 34 188 5
-230 188 35 189 6
-231 189 36 190 7
-232 190 37 191 8
-233 191 38 192 9
-234 192 39 193 10
-235 11 193 40 194
-236 12 194 41 195
-237 13 195 42 196
-238 1 14 196 197
-239 198 2 15 197
-240 198 199 3 16
-241 199 200 4 17
-242 200 201 5 18
-243 201 202 6 19
-244 202 203 7 20
-245 203 204 8 21
-246 22 204 205 9
-247 23 205 206 10
-248 11 24 206 207
-249 12 25 207 208
-250 209 13 26 208
-251 209 210 14 27
-252 210 15 169 28
0