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