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