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