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