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