Graph forms
for C4 [ 288, 166 ] = XI(Rmap(144,198){8,18|8}_9)
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On this page are computer-accessible forms for the graph C4[ 288, 166 ] =
XI(Rmap(144,198){8,18|8}_9).
(I) Following is a form readable by MAGMA:
g:=Graph<288|{ {134, 200}, {135, 201}, {133, 202}, {136, 199}, {128, 210}, {136,
223}, {129, 218}, {131, 221}, {128, 226}, {136, 224}, {141, 228}, {134, 237},
{138, 225}, {142, 227}, {137, 251}, {128, 246}, {131, 244}, {132, 253}, {134,
255}, {129, 251}, {131, 254}, {130, 252}, {136, 247}, {140, 243}, {27, 155},
{59, 187}, {26, 155}, {111, 238}, {42, 171}, {30, 159}, {60, 189}, {80, 209},
{83, 210}, {85, 212}, {61, 191}, {99, 225}, {84, 214}, {76, 207}, {122, 249},
{45, 169}, {125, 249}, {107, 239}, {93, 217}, {81, 213}, {82, 214}, {83, 215},
{90, 222}, {23, 146}, {104, 237}, {29, 152}, {72, 205}, {75, 206}, {16, 150},
{126, 248}, {105, 239}, {97, 231}, {96, 230}, {41, 175}, {40, 174}, {38, 161},
{105, 238}, {56, 191}, {48, 183}, {59, 188}, {62, 185}, {66, 197}, {84, 211},
{42, 162}, {54, 190}, {47, 167}, {26, 147}, {124, 245}, {55, 190}, {53, 188},
{49, 184}, {30, 151}, {64, 201}, {39, 173}, {117, 255}, {51, 185}, {83, 217},
{32, 171}, {54, 189}, {36, 175}, {65, 202}, {71, 204}, {80, 219}, {64, 204},
{113, 253}, {112, 252}, {103, 235}, {102, 234}, {101, 233}, {100, 232}, {65,
205}, {23, 154}, {35, 174}, {33, 172}, {81, 220}, {89, 212}, {52, 186}, {115,
253}, {110, 224}, {103, 233}, {16, 159}, {112, 255}, {108, 227}, {34, 173}, {18,
157}, {82, 221}, {85, 218}, {1, 145}, {114, 226}, {106, 250}, {95, 207}, {42,
186}, {10, 154}, {8, 152}, {58, 170}, {3, 146}, {125, 236}, {37, 180}, {15,
158}, {13, 156}, {11, 154}, {9, 152}, {7, 150}, {5, 148}, {78, 223}, {89, 200},
{91, 202}, {1, 147}, {125, 239}, {119, 229}, {35, 177}, {34, 176}, {62, 172},
{1, 146}, {15, 156}, {14, 157}, {13, 158}, {10, 153}, {6, 149}, {2, 145}, {79,
220}, {90, 201}, {1, 149}, {110, 250}, {98, 246}, {44, 184}, {3, 151}, {2, 150},
{38, 179}, {79, 218}, {2, 148}, {115, 229}, {36, 178}, {4, 147}, {111, 248},
{39, 176}, {12, 155}, {73, 222}, {78, 217}, {5, 157}, {109, 245}, {67, 219},
{86, 206}, {91, 195}, {3, 154}, {94, 199}, {92, 197}, {40, 177}, {34, 187}, {7,
158}, {5, 156}, {14, 148}, {108, 246}, {105, 243}, {104, 242}, {50, 168}, {44,
182}, {79, 213}, {2, 153}, {93, 198}, {41, 178}, {6, 157}, {68, 223}, {79, 212},
{3, 159}, {111, 243}, {43, 183}, {4, 152}, {78, 210}, {74, 215}, {109, 240},
{105, 244}, {102, 251}, {77, 208}, {9, 151}, {121, 231}, {120, 230}, {116, 234},
{43, 181}, {4, 155}, {107, 244}, {104, 247}, {97, 254}, {8, 151}, {10, 170},
{15, 175}, {14, 174}, {13, 173}, {12, 172}, {11, 171}, {10, 171}, {5, 167},
{122, 216}, {19, 177}, {18, 176}, {80, 242}, {58, 153}, {99, 192}, {4, 160}, {7,
162}, {20, 178}, {25, 191}, {24, 190}, {77, 235}, {88, 254}, {6, 161}, {93,
250}, {16, 183}, {17, 185}, {99, 203}, {57, 145}, {17, 184}, {122, 211}, {12,
166}, {57, 147}, {23, 189}, {22, 188}, {19, 185}, {8, 163}, {66, 238}, {9, 164},
{92, 241}, {6, 168}, {108, 194}, {21, 187}, {20, 186}, {11, 165}, {7, 169}, {76,
227}, {115, 220}, {98, 205}, {94, 241}, {17, 161}, {92, 236}, {22, 166}, {21,
165}, {17, 160}, {87, 230}, {16, 162}, {94, 236}, {22, 164}, {19, 161}, {71,
245}, {74, 248}, {27, 168}, {114, 193}, {47, 156}, {45, 158}, {38, 149}, {37,
150}, {68, 247}, {87, 228}, {37, 145}, {114, 198}, {106, 222}, {69, 241}, {70,
242}, {85, 225}, {28, 169}, {31, 170}, {20, 162}, {28, 170}, {21, 163}, {84,
226}, {27, 172}, {115, 196}, {103, 208}, {95, 232}, {46, 153}, {69, 242}, {70,
241}, {71, 240}, {77, 245}, {12, 182}, {46, 148}, {18, 168}, {8, 179}, {24,
163}, {72, 243}, {9, 180}, {104, 213}, {29, 160}, {26, 167}, {25, 164}, {24,
165}, {80, 237}, {86, 235}, {88, 229}, {11, 181}, {25, 166}, {67, 252}, {75,
244}, {88, 231}, {91, 228}, {63, 255}, {21, 215}, {43, 232}, {32, 228}, {99,
167}, {33, 229}, {44, 233}, {60, 249}, {24, 223}, {13, 197}, {22, 222}, {15,
199}, {14, 198}, {49, 251}, {52, 254}, {44, 231}, {98, 169}, {43, 230}, {120,
181}, {61, 240}, {50, 252}, {122, 180}, {51, 253}, {63, 240}, {121, 182}, {114,
189}, {23, 198}, {110, 191}, {31, 206}, {28, 205}, {26, 203}, {68, 149}, {28,
206}, {36, 246}, {60, 239}, {58, 238}, {62, 234}, {45, 248}, {56, 237}, {47,
250}, {74, 159}, {68, 146}, {106, 188}, {27, 204}, {46, 249}, {48, 232}, {49,
233}, {51, 234}, {57, 224}, {18, 200}, {19, 201}, {55, 236}, {29, 192}, {31,
194}, {20, 202}, {30, 193}, {52, 235}, {40, 247}, {34, 192}, {70, 164}, {32,
195}, {53, 209}, {33, 196}, {42, 207}, {67, 166}, {48, 214}, {69, 163}, {66,
165}, {83, 187}, {50, 219}, {52, 221}, {73, 160}, {89, 176}, {91, 178}, {89,
179}, {49, 218}, {90, 177}, {86, 186}, {48, 221}, {53, 216}, {62, 208}, {32,
207}, {51, 220}, {78, 190}, {33, 208}, {94, 175}, {73, 184}, {92, 173}, {35,
209}, {38, 212}, {70, 180}, {93, 174}, {53, 193}, {55, 195}, {54, 194}, {63,
203}, {54, 195}, {67, 182}, {36, 210}, {47, 217}, {46, 216}, {39, 209}, {37,
211}, {61, 203}, {69, 179}, {63, 200}, {66, 181}, {35, 219}, {25, 224}, {61,
196}, {41, 211}, {45, 215}, {59, 193}, {59, 192}, {29, 225}, {56, 196}, {31,
227}, {30, 226}, {40, 213}, {74, 183}, {50, 204}, {57, 199}, {60, 194}, {39,
216}, {41, 214}, {58, 197}, {56, 272}, {55, 263}, {64, 256}, {65, 257}, {73,
264}, {64, 258}, {65, 259}, {87, 277}, {87, 276}, {71, 258}, {81, 278}, {76,
261}, {72, 259}, {109, 288}, {77, 259}, {82, 284}, {75, 260}, {95, 271}, {86,
260}, {90, 264}, {82, 263}, {81, 262}, {119, 288}, {72, 273}, {75, 274}, {88,
257}, {95, 261}, {84, 265}, {76, 275}, {85, 266}, {123, 282}, {107, 265}, {113,
275}, {102, 261}, {111, 267}, {120, 284}, {118, 274}, {113, 276}, {118, 275},
{107, 269}, {121, 286}, {124, 283}, {103, 271}, {112, 280}, {110, 262}, {100,
269}, {121, 272}, {101, 271}, {123, 273}, {112, 282}, {96, 267}, {101, 270},
{100, 271}, {106, 262}, {97, 268}, {118, 280}, {119, 281}, {117, 282}, {116,
260}, {113, 256}, {127, 270}, {116, 261}, {124, 270}, {102, 277}, {127, 268},
{126, 269}, {96, 277}, {127, 266}, {126, 267}, {98, 279}, {116, 258}, {119,
257}, {118, 256}, {126, 265}, {127, 264}, {100, 285}, {123, 258}, {125, 263},
{96, 283}, {117, 270}, {109, 278}, {108, 279}, {97, 285}, {101, 283}, {117,
266}, {124, 259}, {123, 260}, {120, 263}, {138, 266}, {139, 267}, {142, 269},
{133, 257}, {135, 256}, {128, 265}, {144, 281}, {130, 264}, {138, 262}, {144,
285}, {130, 268}, {132, 276}, {143, 287}, {140, 284}, {139, 283}, {129, 272},
{143, 286}, {135, 278}, {131, 274}, {139, 281}, {137, 282}, {142, 285}, {140,
287}, {141, 281}, {134, 272}, {143, 280}, {137, 273}, {133, 284}, {141, 276},
{130, 280}, {141, 279}, {133, 287}, {132, 286}, {132, 287}, {137, 277}, {144,
268}, {139, 279}, {138, 278}, {140, 273}, {143, 274}, {142, 275}, {129, 286},
{135, 288}, {144, 288} }>;
(II) A more general form is to represent the graph as the orbit of {134, 200}
under the group generated by the following permutations:
a: (2, 4)(3, 6)(5, 9)(7, 12)(8, 14)(10, 17)(11, 19)(13, 22)(15, 25)(16, 27)(18,
30)(20, 33)(21, 35)(23, 38)(24, 40)(26, 37)(28, 44)(29, 46)(31, 49)(32, 51)(34,
53)(36, 56)(39, 59)(41, 61)(42, 62)(43, 64)(45, 67)(47, 70)(48, 71)(50, 74)(52,
77)(54, 79)(55, 81)(58, 73)(60, 85)(63, 84)(65, 88)(66, 90)(69, 93)(72, 97)(75,
101)(76, 102)(78, 104)(80, 83)(82, 109)(86, 103)(87, 113)(89, 114)(91, 115)(92,
106)(94, 110)(95, 116)(96, 118)(98, 121)(99, 122)(100, 123)(105, 127)(107,
117)(108, 129)(111, 130)(112, 126)(119, 133)(120, 135)(124, 131)(125, 138)(128,
134)(132, 141)(137, 142)(139, 143)(140, 144)(145, 147)(146, 149)(148, 152)(150,
155)(151, 157)(153, 160)(154, 161)(156, 164)(158, 166)(159, 168)(162, 172)(163,
174)(165, 177)(167, 180)(169, 182)(170, 184)(171, 185)(173, 188)(175, 191)(176,
193)(178, 196)(179, 198)(181, 201)(183, 204)(186, 208)(187, 209)(189, 212)(190,
213)(192, 216)(194, 218)(195, 220)(197, 222)(199, 224)(200, 226)(202, 229)(203,
211)(205, 231)(206, 233)(207, 234)(210, 237)(214, 240)(215, 219)(217, 242)(221,
245)(223, 247)(225, 249)(227, 251)(228, 253)(230, 256)(232, 258)(236, 262)(238,
264)(239, 266)(241, 250)(243, 268)(244, 270)(246, 272)(248, 252)(254, 259)(255,
265)(260, 271)(263, 278)(267, 280)(269, 282)(273, 285)(274, 283)(275, 277)(279,
286)(281, 287)(284, 288) (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, 3)(4, 6)(5, 8)(7, 11)(9, 14)(10, 16)(12, 19)(13, 21)(15, 24)(17, 27)(18,
29)(20, 32)(22, 35)(23, 37)(25, 40)(26, 38)(28, 43)(30, 46)(31, 48)(33, 51)(36,
55)(39, 59)(41, 54)(44, 64)(45, 66)(47, 69)(49, 71)(50, 73)(52, 76)(56, 81)(57,
68)(58, 74)(60, 84)(61, 79)(63, 85)(65, 87)(67, 90)(70, 93)(72, 96)(75, 100)(77,
102)(78, 94)(80, 106)(82, 108)(83, 92)(86, 95)(88, 113)(89, 99)(97, 118)(98,
120)(101, 123)(103, 116)(104, 110)(105, 126)(109, 129)(112, 127)(114, 122)(119,
132)(121, 135)(124, 137)(125, 128)(131, 142)(133, 141)(134, 138)(139, 140)(143,
144)(145, 146)(147, 149)(148, 151)(150, 154)(152, 157)(153, 159)(155, 161)(156,
163)(158, 165)(160, 168)(162, 171)(164, 174)(166, 177)(167, 179)(169, 181)(170,
183)(172, 185)(173, 187)(175, 190)(176, 192)(178, 195)(180, 198)(182, 201)(184,
204)(186, 207)(188, 209)(189, 211)(191, 213)(193, 216)(194, 214)(196, 220)(197,
215)(199, 223)(200, 225)(202, 228)(203, 212)(205, 230)(206, 232)(208, 234)(210,
236)(217, 241)(218, 240)(219, 222)(221, 227)(224, 247)(226, 249)(229, 253)(231,
256)(233, 258)(235, 261)(237, 262)(238, 248)(239, 265)(242, 250)(243, 267)(244,
269)(245, 251)(246, 263)(252, 264)(254, 275)(255, 266)(257, 276)(259, 277)(260,
271)(268, 280)(270, 282)(272, 278)(273, 283)(274, 285)(279, 284)(281, 287)(286,
288)
c: (1, 2)(3, 5)(4, 7)(6, 10)(8, 13)(9, 15)(11, 18)(12, 20)(14, 23)(16, 26)(17,
28)(19, 31)(21, 34)(22, 36)(24, 39)(25, 41)(27, 42)(29, 45)(30, 47)(32, 50)(33,
52)(35, 54)(37, 57)(38, 58)(40, 60)(43, 63)(44, 65)(46, 68)(48, 61)(49, 72)(51,
75)(53, 78)(55, 80)(56, 82)(59, 83)(62, 86)(64, 76)(66, 89)(67, 91)(69, 92)(70,
94)(71, 95)(73, 98)(74, 99)(77, 103)(79, 105)(81, 107)(84, 110)(85, 111)(87,
112)(90, 108)(93, 114)(96, 117)(97, 119)(100, 109)(101, 124)(102, 123)(104,
125)(106, 128)(113, 118)(115, 131)(120, 134)(121, 133)(122, 136)(126, 138)(127,
139)(129, 140)(130, 141)(132, 143)(135, 142)(146, 148)(147, 150)(149, 153)(151,
156)(152, 158)(154, 157)(155, 162)(159, 167)(160, 169)(161, 170)(163, 173)(164,
175)(165, 176)(166, 178)(168, 171)(172, 186)(174, 189)(177, 194)(179, 197)(180,
199)(181, 200)(182, 202)(183, 203)(184, 205)(185, 206)(188, 210)(190, 209)(191,
214)(192, 215)(193, 217)(195, 219)(196, 221)(201, 227)(204, 207)(208, 235)(211,
224)(212, 238)(213, 239)(216, 223)(218, 243)(220, 244)(222, 246)(225, 248)(226,
250)(228, 252)(229, 254)(230, 255)(231, 257)(232, 240)(233, 259)(234, 260)(236,
242)(237, 263)(245, 271)(247, 249)(251, 273)(253, 274)(256, 275)(258, 261)(262,
265)(264, 279)(266, 267)(268, 281)(269, 278)(270, 283)(272, 284)(276, 280)(277,
282)(285, 288)(286, 287)
C4[ 288, 166 ]
288
-1 145 146 147 149
-2 145 148 150 153
-3 154 146 159 151
-4 155 147 160 152
-5 156 167 157 148
-6 157 168 149 161
-7 158 169 150 162
-8 179 151 152 163
-9 180 151 152 164
-10 154 170 171 153
-11 154 165 181 171
-12 155 166 182 172
-13 156 158 173 197
-14 198 157 148 174
-15 199 156 158 175
-16 159 150 183 162
-17 160 161 184 185
-18 176 200 157 168
-19 177 201 161 185
-20 178 202 162 186
-21 165 187 215 163
-22 166 188 222 164
-23 154 198 189 146
-24 165 190 223 163
-25 166 191 224 164
-26 155 167 147 203
-27 155 168 204 172
-28 169 170 205 206
-29 192 225 160 152
-30 159 193 226 151
-31 170 194 227 206
-32 171 195 228 207
-33 172 196 229 208
-34 176 187 192 173
-35 209 177 174 219
-36 210 178 246 175
-37 145 211 180 150
-38 179 212 149 161
-39 176 209 216 173
-40 177 213 247 174
-41 178 211 214 175
-42 171 162 207 186
-43 232 181 183 230
-44 231 233 182 184
-45 158 169 215 248
-46 148 216 249 153
-47 156 167 217 250
-48 221 232 214 183
-49 233 184 218 251
-50 168 204 219 252
-51 220 253 234 185
-52 221 254 235 186
-53 209 188 193 216
-54 189 190 194 195
-55 190 236 195 263
-56 191 237 272 196
-57 199 145 147 224
-58 170 238 153 197
-59 187 188 192 193
-60 189 194 249 239
-61 191 203 196 240
-62 234 172 185 208
-63 200 255 203 240
-64 201 256 258 204
-65 202 257 259 205
-66 165 181 238 197
-67 166 182 219 252
-68 146 223 247 149
-69 242 179 163 241
-70 242 180 164 241
-71 245 258 204 240
-72 243 259 205 273
-73 264 222 160 184
-74 159 215 248 183
-75 244 260 206 274
-76 275 227 261 207
-77 245 235 259 208
-78 210 190 223 217
-79 220 212 213 218
-80 209 242 237 219
-81 220 278 213 262
-82 221 214 284 263
-83 187 210 215 217
-84 265 211 214 226
-85 266 212 225 218
-86 235 260 206 186
-87 276 277 228 230
-88 231 254 257 229
-89 176 200 179 212
-90 264 177 222 201
-91 178 202 195 228
-92 236 173 197 241
-93 198 217 250 174
-94 199 236 175 241
-95 232 271 261 207
-96 277 267 283 230
-97 231 254 268 285
-98 169 246 279 205
-99 167 192 203 225
-100 232 269 271 285
-101 233 270 271 283
-102 277 234 261 251
-103 233 235 271 208
-104 242 213 247 237
-105 243 244 238 239
-106 188 222 250 262
-107 265 244 269 239
-108 246 279 194 227
-109 288 245 278 240
-110 191 224 250 262
-111 243 267 248 238
-112 255 280 282 252
-113 253 275 276 256
-114 198 189 193 226
-115 220 253 196 229
-116 234 258 260 261
-117 255 266 270 282
-118 275 256 280 274
-119 288 257 281 229
-120 181 284 230 263
-121 231 286 182 272
-122 211 180 216 249
-123 258 260 282 273
-124 245 259 270 283
-125 236 249 239 263
-126 265 267 269 248
-127 264 266 268 270
-128 210 265 246 226
-129 286 272 218 251
-130 264 268 280 252
-131 221 254 244 274
-132 253 286 276 287
-133 287 202 257 284
-134 200 255 237 272
-135 288 201 256 278
-136 199 223 224 247
-137 277 282 251 273
-138 266 278 225 262
-139 267 279 281 283
-140 243 287 273 284
-141 276 279 281 228
-142 275 269 227 285
-143 286 287 280 274
-144 288 268 281 285
-145 1 2 57 37
-146 1 23 68 3
-147 1 57 4 26
-148 2 46 14 5
-149 1 68 38 6
-150 2 37 16 7
-151 3 8 30 9
-152 4 29 8 9
-153 2 46 58 10
-154 11 23 3 10
-155 12 4 26 27
-156 13 47 15 5
-157 14 5 6 18
-158 45 13 15 7
-159 3 16 30 74
-160 4 17 29 73
-161 38 6 17 19
-162 16 7 20 42
-163 24 69 8 21
-164 22 25 70 9
-165 11 66 24 21
-166 22 12 67 25
-167 99 47 26 5
-168 27 6 50 18
-169 45 28 7 98
-170 58 28 31 10
-171 11 42 10 32
-172 33 12 27 62
-173 34 13 92 39
-174 35 14 93 40
-175 36 15 94 41
-176 34 89 39 18
-177 35 90 40 19
-178 36 91 41 20
-179 89 69 38 8
-180 122 37 70 9
-181 11 66 43 120
-182 44 121 12 67
-183 48 16 74 43
-184 44 49 17 73
-185 17 51 62 19
-186 52 20 42 86
-187 34 59 83 21
-188 22 59 106 53
-189 23 114 60 54
-190 55 78 24 54
-191 110 56 25 61
-192 99 34 59 29
-193 59 114 30 53
-194 60 31 108 54
-195 55 91 32 54
-196 33 56 115 61
-197 66 13 58 92
-198 23 14 114 93
-199 57 15 136 94
-200 89 134 18 63
-201 90 135 19 64
-202 133 91 20 65
-203 99 26 61 63
-204 27 71 50 64
-205 28 72 65 98
-206 28 31 75 86
-207 95 42 32 76
-208 33 77 103 62
-209 35 80 39 53
-210 78 36 83 128
-211 122 37 84 41
-212 89 79 38 85
-213 79 81 104 40
-214 48 82 84 41
-215 45 83 74 21
-216 122 46 39 53
-217 78 47 93 83
-218 79 49 85 129
-219 67 35 80 50
-220 79 81 115 51
-221 48 82 52 131
-222 22 90 73 106
-223 78 24 68 136
-224 110 57 25 136
-225 99 138 29 85
-226 114 84 128 30
-227 31 108 76 142
-228 91 141 32 87
-229 33 88 115 119
-230 96 43 87 120
-231 44 88 121 97
-232 100 48 95 43
-233 44 101 103 49
-234 102 116 51 62
-235 77 103 52 86
-236 55 92 125 94
-237 56 134 80 104
-238 66 111 58 105
-239 125 60 105 107
-240 71 61 63 109
-241 69 70 92 94
-242 69 80 70 104
-243 111 72 105 140
-244 105 107 75 131
-245 77 124 71 109
-246 36 128 108 98
-247 68 136 104 40
-248 45 111 126 74
-249 122 46 125 60
-250 110 47 93 106
-251 102 49 137 129
-252 67 112 50 130
-253 132 113 115 51
-254 88 52 97 131
-255 112 134 117 63
-256 113 135 118 64
-257 88 133 119 65
-258 123 71 116 64
-259 77 124 72 65
-260 123 116 75 86
-261 102 116 95 76
-262 110 81 138 106
-263 55 125 82 120
-264 90 127 73 130
-265 126 84 128 107
-266 127 138 117 85
-267 111 126 139 96
-268 144 127 97 130
-269 100 126 107 142
-270 101 124 127 117
-271 100 101 103 95
-272 121 56 134 129
-273 123 137 72 140
-274 143 118 75 131
-275 113 118 76 142
-276 132 113 141 87
-277 102 137 96 87
-278 135 81 138 109
-279 139 108 141 98
-280 143 112 118 130
-281 144 139 119 141
-282 112 123 137 117
-283 101 124 139 96
-284 133 82 140 120
-285 100 144 97 142
-286 121 132 143 129
-287 132 143 133 140
-288 144 135 119 109
0