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