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