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