Graph forms
for C4 [ 276, 6 ] = Pr_92(1,21,25,45)
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On this page are computer-accessible forms for the graph C4[ 276, 6 ] =
Pr_92(1,21,25,45).
(I) Following is a form readable by MAGMA:
g:=Graph<276|{ {2, 3}, {90, 91}, {88, 89}, {86, 87}, {84, 85}, {82, 83}, {80,
81}, {78, 79}, {76, 77}, {74, 75}, {72, 73}, {70, 71}, {68, 69}, {66, 67}, {64,
65}, {62, 63}, {60, 61}, {58, 59}, {56, 57}, {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}, {1, 2}, {89, 90},
{85, 86}, {81, 82}, {77, 78}, {73, 74}, {69, 70}, {65, 66}, {61, 62}, {57, 58},
{5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22}, {25, 26}, {29, 30}, {33, 34},
{37, 38}, {41, 42}, {45, 46}, {49, 50}, {53, 54}, {3, 4}, {91, 92}, {83, 84},
{75, 76}, {67, 68}, {59, 60}, {11, 12}, {19, 20}, {27, 28}, {35, 36}, {43, 44},
{51, 52}, {7, 8}, {87, 88}, {71, 72}, {55, 56}, {23, 24}, {39, 40}, {160, 185},
{162, 187}, {164, 189}, {166, 191}, {161, 186}, {165, 190}, {15, 16}, {79, 80},
{47, 48}, {163, 188}, {192, 237}, {210, 255}, {208, 253}, {194, 239}, {192,
239}, {209, 254}, {208, 255}, {193, 238}, {193, 240}, {207, 254}, {205, 252},
{203, 250}, {195, 242}, {197, 244}, {199, 246}, {201, 248}, {194, 241}, {207,
252}, {206, 253}, {203, 248}, {202, 249}, {195, 240}, {198, 245}, {199, 244},
{196, 241}, {206, 251}, {204, 249}, {198, 243}, {196, 243}, {205, 250}, {204,
251}, {197, 242}, {200, 245}, {202, 247}, {31, 32}, {200, 247}, {201, 246}, {24,
95}, {56, 127}, {32, 103}, {40, 111}, {48, 119}, {23, 94}, {55, 126}, {33, 104},
{35, 106}, {37, 108}, {39, 110}, {49, 120}, {51, 122}, {53, 124}, {22, 93}, {54,
125}, {34, 105}, {38, 109}, {50, 121}, {36, 107}, {52, 123}, {185, 232}, {187,
234}, {189, 236}, {191, 238}, {186, 233}, {187, 232}, {190, 237}, {191, 236},
{188, 233}, {190, 235}, {188, 235}, {189, 234}, {41, 112}, {43, 114}, {45, 116},
{47, 118}, {42, 113}, {46, 117}, {1, 93}, {2, 94}, {3, 95}, {32, 124}, {33,
125}, {34, 126}, {35, 127}, {128, 220}, {129, 221}, {130, 222}, {131, 223},
{160, 252}, {161, 253}, {162, 254}, {163, 255}, {1, 92}, {186, 231}, {44, 115},
{185, 230}, {4, 96}, {5, 97}, {6, 98}, {7, 99}, {12, 104}, {13, 105}, {14, 106},
{15, 107}, {20, 112}, {21, 113}, {22, 114}, {23, 115}, {28, 120}, {29, 121},
{30, 122}, {31, 123}, {132, 224}, {133, 225}, {134, 226}, {135, 227}, {140,
232}, {141, 233}, {142, 234}, {143, 235}, {148, 240}, {149, 241}, {150, 242},
{151, 243}, {156, 248}, {157, 249}, {158, 250}, {159, 251}, {167, 192}, {175,
200}, {183, 208}, {168, 193}, {170, 195}, {172, 197}, {174, 199}, {184, 209},
{169, 194}, {173, 198}, {8, 100}, {9, 101}, {10, 102}, {11, 103}, {24, 116},
{25, 117}, {26, 118}, {27, 119}, {136, 228}, {137, 229}, {138, 230}, {139, 231},
{152, 244}, {153, 245}, {154, 246}, {155, 247}, {171, 196}, {128, 245}, {130,
247}, {136, 253}, {138, 255}, {129, 246}, {137, 254}, {25, 96}, {27, 98}, {29,
100}, {31, 102}, {176, 201}, {178, 203}, {180, 205}, {182, 207}, {26, 97}, {30,
101}, {131, 248}, {135, 252}, {177, 202}, {181, 206}, {16, 108}, {17, 109}, {18,
110}, {19, 111}, {144, 236}, {145, 237}, {146, 238}, {147, 239}, {132, 249},
{134, 251}, {28, 99}, {63, 64}, {133, 250}, {179, 204}, {95, 212}, {107, 224},
{111, 228}, {123, 240}, {127, 244}, {94, 211}, {108, 225}, {110, 227}, {124,
241}, {126, 243}, {93, 210}, {109, 226}, {125, 242}, {112, 229}, {114, 231},
{120, 237}, {122, 239}, {113, 230}, {121, 238}, {115, 232}, {119, 236}, {116,
233}, {118, 235}, {117, 234}, {4, 167}, {8, 171}, {12, 175}, {16, 179}, {20,
183}, {36, 128}, {63, 155}, {62, 154}, {61, 153}, {60, 152}, {55, 147}, {54,
146}, {37, 129}, {38, 130}, {39, 131}, {44, 136}, {45, 137}, {46, 138}, {47,
139}, {52, 144}, {53, 145}, {100, 192}, {101, 193}, {102, 194}, {103, 195},
{108, 200}, {109, 201}, {110, 202}, {111, 203}, {116, 208}, {117, 209}, {118,
210}, {119, 211}, {124, 216}, {125, 217}, {126, 218}, {127, 219}, {1, 164}, {3,
166}, {9, 172}, {11, 174}, {17, 180}, {19, 182}, {2, 165}, {10, 173}, {18, 181},
{40, 132}, {59, 151}, {58, 150}, {57, 149}, {56, 148}, {41, 133}, {42, 134},
{43, 135}, {104, 196}, {105, 197}, {106, 198}, {107, 199}, {120, 212}, {121,
213}, {122, 214}, {123, 215}, {5, 168}, {7, 170}, {21, 184}, {6, 169}, {96,
213}, {98, 215}, {104, 221}, {106, 223}, {97, 214}, {105, 222}, {57, 128}, {63,
134}, {61, 132}, {59, 130}, {58, 129}, {62, 133}, {99, 216}, {103, 220}, {48,
140}, {49, 141}, {50, 142}, {51, 143}, {112, 204}, {113, 205}, {114, 206}, {115,
207}, {13, 176}, {15, 178}, {100, 217}, {102, 219}, {14, 177}, {60, 131}, {101,
218}, {64, 135}, {88, 159}, {80, 151}, {72, 143}, {65, 136}, {87, 158}, {85,
156}, {83, 154}, {81, 152}, {71, 142}, {69, 140}, {67, 138}, {66, 137}, {86,
157}, {82, 153}, {70, 141}, {68, 139}, {84, 155}, {73, 144}, {79, 150}, {77,
148}, {75, 146}, {74, 145}, {78, 149}, {64, 156}, {67, 159}, {66, 158}, {65,
157}, {96, 188}, {97, 189}, {98, 190}, {99, 191}, {76, 147}, {68, 160}, {93,
185}, {92, 184}, {87, 179}, {86, 178}, {85, 177}, {84, 176}, {79, 171}, {78,
170}, {77, 169}, {76, 168}, {71, 163}, {70, 162}, {69, 161}, {94, 186}, {95,
187}, {72, 164}, {91, 183}, {90, 182}, {89, 181}, {88, 180}, {75, 167}, {74,
166}, {73, 165}, {89, 160}, {91, 162}, {90, 161}, {80, 172}, {83, 175}, {82,
174}, {81, 173}, {92, 163}, {139, 256}, {143, 260}, {155, 272}, {159, 276},
{140, 257}, {142, 259}, {156, 273}, {158, 275}, {141, 258}, {157, 274}, {144,
261}, {146, 263}, {152, 269}, {154, 271}, {145, 262}, {153, 270}, {147, 264},
{151, 268}, {148, 265}, {150, 267}, {149, 266}, {164, 256}, {165, 257}, {166,
258}, {167, 259}, {172, 264}, {173, 265}, {174, 266}, {175, 267}, {180, 272},
{181, 273}, {182, 274}, {183, 275}, {168, 260}, {169, 261}, {170, 262}, {171,
263}, {184, 276}, {176, 268}, {177, 269}, {178, 270}, {179, 271}, {209, 256},
{223, 270}, {221, 268}, {219, 266}, {217, 264}, {215, 262}, {213, 260}, {211,
258}, {210, 257}, {223, 268}, {222, 269}, {219, 264}, {218, 265}, {215, 260},
{214, 261}, {211, 256}, {212, 257}, {222, 267}, {220, 265}, {214, 259}, {212,
259}, {221, 266}, {220, 267}, {213, 258}, {216, 261}, {218, 263}, {216, 263},
{217, 262}, {224, 269}, {226, 271}, {224, 271}, {225, 270}, {225, 272}, {229,
276}, {227, 274}, {226, 273}, {231, 276}, {227, 272}, {228, 273}, {230, 275},
{228, 275}, {229, 274} }>;
(II) A more general form is to represent the graph as the orbit of {2, 3}
under the group generated by the following permutations:
a: (2, 93)(3, 185)(4, 160)(5, 89)(6, 181)(7, 273)(8, 156)(9, 85)(10, 177)(11,
269)(12, 152)(13, 81)(14, 173)(15, 265)(16, 148)(17, 77)(18, 169)(19, 261)(20,
144)(21, 73)(22, 165)(23, 257)(24, 140)(25, 69)(26, 161)(27, 253)(28, 136)(29,
65)(30, 157)(31, 249)(32, 132)(33, 61)(34, 153)(35, 245)(36, 128)(37, 57)(38,
149)(39, 241)(40, 124)(41, 53)(42, 145)(43, 237)(44, 120)(45, 49)(46, 141)(47,
233)(48, 116)(50, 137)(51, 229)(52, 112)(54, 133)(55, 225)(56, 108)(58, 129)(59,
221)(60, 104)(62, 125)(63, 217)(64, 100)(66, 121)(67, 213)(68, 96)(70, 117)(71,
209)(72, 184)(74, 113)(75, 205)(76, 180)(78, 109)(79, 201)(80, 176)(82, 105)(83,
197)(84, 172)(86, 101)(87, 193)(88, 168)(90, 97)(91, 189)(92, 164)(94, 210)(95,
232)(98, 206)(99, 228)(102, 202)(103, 224)(106, 198)(107, 220)(110, 194)(111,
216)(114, 190)(115, 212)(118, 186)(119, 208)(122, 274)(123, 204)(126, 270)(127,
200)(130, 266)(131, 196)(134, 262)(135, 192)(138, 258)(139, 188)(142, 254)(143,
276)(146, 250)(147, 272)(150, 246)(151, 268)(154, 242)(155, 264)(158, 238)(159,
260)(162, 234)(163, 256)(166, 230)(167, 252)(170, 226)(171, 248)(174, 222)(175,
244)(178, 218)(179, 240)(182, 214)(183, 236)(191, 275)(195, 271)(199, 267)(203,
263)(207, 259)(211, 255)(215, 251)(219, 247)(223, 243)(227, 239)(231, 235) (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, 92)(3, 91)(4, 90)(5, 89)(6, 88)(7, 87)(8, 86)(9, 85)(10, 84)(11, 83)(12,
82)(13, 81)(14, 80)(15, 79)(16, 78)(17, 77)(18, 76)(19, 75)(20, 74)(21, 73)(22,
72)(23, 71)(24, 70)(25, 69)(26, 68)(27, 67)(28, 66)(29, 65)(30, 64)(31, 63)(32,
62)(33, 61)(34, 60)(35, 59)(36, 58)(37, 57)(38, 56)(39, 55)(40, 54)(41, 53)(42,
52)(43, 51)(44, 50)(45, 49)(46, 48)(93, 164)(94, 163)(95, 162)(96, 161)(97,
160)(98, 159)(99, 158)(100, 157)(101, 156)(102, 155)(103, 154)(104, 153)(105,
152)(106, 151)(107, 150)(108, 149)(109, 148)(110, 147)(111, 146)(112, 145)(113,
144)(114, 143)(115, 142)(116, 141)(117, 140)(118, 139)(119, 138)(120, 137)(121,
136)(122, 135)(123, 134)(124, 133)(125, 132)(126, 131)(127, 130)(128, 129)(165,
184)(166, 183)(167, 182)(168, 181)(169, 180)(170, 179)(171, 178)(172, 177)(173,
176)(174, 175)(185, 189)(186, 188)(190, 276)(191, 275)(192, 274)(193, 273)(194,
272)(195, 271)(196, 270)(197, 269)(198, 268)(199, 267)(200, 266)(201, 265)(202,
264)(203, 263)(204, 262)(205, 261)(206, 260)(207, 259)(208, 258)(209, 257)(210,
256)(211, 255)(212, 254)(213, 253)(214, 252)(215, 251)(216, 250)(217, 249)(218,
248)(219, 247)(220, 246)(221, 245)(222, 244)(223, 243)(224, 242)(225, 241)(226,
240)(227, 239)(228, 238)(229, 237)(230, 236)(231, 235)(232, 234)
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, 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, 253, 254, 255, 256, 257, 258, 259, 260,
261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275,
276)
C4[ 276, 6 ]
276
-1 2 92 93 164
-2 165 1 3 94
-3 166 2 4 95
-4 167 3 5 96
-5 168 4 6 97
-6 169 5 7 98
-7 99 170 6 8
-8 100 171 7 9
-9 101 172 8 10
-10 11 102 173 9
-11 12 103 174 10
-12 11 13 104 175
-13 176 12 14 105
-14 177 13 15 106
-15 178 14 16 107
-16 179 15 17 108
-17 180 16 18 109
-18 110 181 17 19
-19 111 182 18 20
-20 112 183 19 21
-21 22 113 184 20
-22 23 114 93 21
-23 22 24 115 94
-24 23 25 116 95
-25 24 26 117 96
-26 25 27 118 97
-27 26 28 119 98
-28 99 27 29 120
-29 121 100 28 30
-30 122 101 29 31
-31 123 102 30 32
-32 33 124 103 31
-33 34 125 104 32
-34 33 35 126 105
-35 34 36 127 106
-36 35 37 128 107
-37 36 38 129 108
-38 37 39 130 109
-39 110 38 40 131
-40 132 111 39 41
-41 133 112 40 42
-42 134 113 41 43
-43 44 135 114 42
-44 45 136 115 43
-45 44 46 137 116
-46 45 47 138 117
-47 46 48 139 118
-48 47 49 140 119
-49 48 50 141 120
-50 121 49 51 142
-51 143 122 50 52
-52 144 123 51 53
-53 145 124 52 54
-54 55 146 125 53
-55 56 147 126 54
-56 55 57 148 127
-57 56 58 149 128
-58 57 59 150 129
-59 58 60 151 130
-60 59 61 152 131
-61 132 60 62 153
-62 154 133 61 63
-63 155 134 62 64
-64 156 135 63 65
-65 66 157 136 64
-66 67 158 137 65
-67 66 68 159 138
-68 67 69 160 139
-69 68 70 161 140
-70 69 71 162 141
-71 70 72 163 142
-72 143 71 73 164
-73 165 144 72 74
-74 166 145 73 75
-75 167 146 74 76
-76 77 168 147 75
-77 78 169 148 76
-78 77 79 170 149
-79 78 80 171 150
-80 79 81 172 151
-81 80 82 173 152
-82 81 83 174 153
-83 154 82 84 175
-84 176 155 83 85
-85 177 156 84 86
-86 178 157 85 87
-87 88 179 158 86
-88 89 180 159 87
-89 88 90 181 160
-90 89 91 182 161
-91 90 92 183 162
-92 1 91 184 163
-93 22 1 210 185
-94 23 2 211 186
-95 187 24 3 212
-96 188 25 4 213
-97 189 26 5 214
-98 190 27 6 215
-99 191 28 7 216
-100 192 29 8 217
-101 193 30 9 218
-102 194 31 10 219
-103 11 220 195 32
-104 33 12 221 196
-105 34 13 222 197
-106 198 35 14 223
-107 199 36 15 224
-108 200 37 16 225
-109 201 38 17 226
-110 202 39 18 227
-111 203 40 19 228
-112 204 41 20 229
-113 205 42 21 230
-114 22 231 206 43
-115 44 23 232 207
-116 45 24 233 208
-117 209 46 25 234
-118 210 47 26 235
-119 211 48 27 236
-120 212 49 28 237
-121 213 50 29 238
-122 214 51 30 239
-123 215 52 31 240
-124 216 53 32 241
-125 33 242 217 54
-126 55 34 243 218
-127 56 35 244 219
-128 220 57 36 245
-129 221 58 37 246
-130 222 59 38 247
-131 223 60 39 248
-132 224 61 40 249
-133 225 62 41 250
-134 226 63 42 251
-135 227 64 43 252
-136 44 253 228 65
-137 66 45 254 229
-138 67 46 255 230
-139 231 68 47 256
-140 232 69 48 257
-141 233 70 49 258
-142 234 71 50 259
-143 235 72 51 260
-144 236 73 52 261
-145 237 74 53 262
-146 238 75 54 263
-147 55 264 239 76
-148 77 56 265 240
-149 78 57 266 241
-150 242 79 58 267
-151 243 80 59 268
-152 244 81 60 269
-153 245 82 61 270
-154 246 83 62 271
-155 247 84 63 272
-156 248 85 64 273
-157 249 86 65 274
-158 66 275 250 87
-159 88 67 276 251
-160 89 68 185 252
-161 253 90 69 186
-162 187 254 91 70
-163 188 255 92 71
-164 1 189 256 72
-165 2 190 257 73
-166 3 191 258 74
-167 4 192 259 75
-168 5 193 260 76
-169 77 6 194 261
-170 78 7 195 262
-171 79 8 196 263
-172 264 80 9 197
-173 198 265 81 10
-174 11 199 266 82
-175 12 200 267 83
-176 13 201 268 84
-177 14 202 269 85
-178 15 203 270 86
-179 16 204 271 87
-180 88 17 205 272
-181 89 18 206 273
-182 90 19 207 274
-183 275 91 20 208
-184 209 276 92 21
-185 232 93 160 230
-186 231 233 94 161
-187 232 234 95 162
-188 233 235 96 163
-189 234 236 97 164
-190 165 235 237 98
-191 99 166 236 238
-192 100 167 237 239
-193 101 168 238 240
-194 102 169 239 241
-195 242 103 170 240
-196 243 104 171 241
-197 242 244 105 172
-198 243 245 106 173
-199 244 246 107 174
-200 245 247 108 175
-201 176 246 248 109
-202 110 177 247 249
-203 111 178 248 250
-204 112 179 249 251
-205 113 180 250 252
-206 253 114 181 251
-207 254 115 182 252
-208 253 255 116 183
-209 254 256 117 184
-210 255 257 93 118
-211 256 258 94 119
-212 257 259 95 120
-213 121 258 260 96
-214 122 259 261 97
-215 123 260 262 98
-216 99 124 261 263
-217 264 100 125 262
-218 265 101 126 263
-219 264 266 102 127
-220 265 267 103 128
-221 266 268 104 129
-222 267 269 105 130
-223 268 270 106 131
-224 132 269 271 107
-225 133 270 272 108
-226 134 271 273 109
-227 110 135 272 274
-228 275 111 136 273
-229 276 112 137 274
-230 275 113 138 185
-231 276 114 139 186
-232 187 115 140 185
-233 188 116 141 186
-234 187 189 117 142
-235 143 188 190 118
-236 144 189 191 119
-237 145 190 192 120
-238 121 146 191 193
-239 122 147 192 194
-240 123 148 193 195
-241 124 149 194 196
-242 125 150 195 197
-243 198 126 151 196
-244 199 127 152 197
-245 198 200 128 153
-246 154 199 201 129
-247 155 200 202 130
-248 156 201 203 131
-249 132 157 202 204
-250 133 158 203 205
-251 134 159 204 206
-252 135 160 205 207
-253 136 161 206 208
-254 209 137 162 207
-255 210 138 163 208
-256 209 211 139 164
-257 165 210 212 140
-258 166 211 213 141
-259 167 212 214 142
-260 143 168 213 215
-261 144 169 214 216
-262 145 170 215 217
-263 146 171 216 218
-264 147 172 217 219
-265 220 148 173 218
-266 221 149 174 219
-267 220 222 150 175
-268 176 221 223 151
-269 177 222 224 152
-270 178 223 225 153
-271 154 179 224 226
-272 155 180 225 227
-273 156 181 226 228
-274 157 182 227 229
-275 158 183 228 230
-276 231 159 184 229
0