Graph forms
for C4 [ 252, 47 ] = MG(Rmap(252,136){7,14|18}_18)
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On this page are computer-accessible forms for the graph C4[ 252, 47 ] =
MG(Rmap(252,136){7,14|18}_18).
(I) Following is a form readable by MAGMA:
g:=Graph<252|{ {132, 133}, {1, 3}, {1, 2}, {161, 162}, {1, 4}, {2, 7}, {217,
223}, {1, 6}, {232, 239}, {72, 79}, {2, 5}, {2, 10}, {7, 15}, {6, 14}, {5, 13},
{4, 12}, {3, 11}, {128, 136}, {68, 77}, {87, 94}, {86, 95}, {69, 76}, {71, 77},
{228, 238}, {3, 8}, {4, 9}, {148, 155}, {213, 218}, {74, 90}, {224, 240}, {74,
88}, {167, 181}, {166, 180}, {3, 16}, {235, 248}, {232, 251}, {226, 241}, {225,
242}, {11, 24}, {7, 20}, {4, 17}, {230, 243}, {35, 54}, {12, 25}, {10, 31}, {8,
29}, {6, 19}, {43, 61}, {229, 243}, {136, 158}, {5, 18}, {40, 63}, {9, 30}, {13,
21}, {237, 245}, {201, 209}, {164, 188}, {239, 246}, {134, 156}, {238, 244},
{195, 217}, {194, 216}, {7, 28}, {237, 246}, {224, 251}, {168, 179}, {44, 48},
{6, 27}, {10, 23}, {8, 21}, {109, 112}, {192, 222}, {5, 26}, {237, 242}, {32,
63}, {9, 22}, {130, 157}, {140, 172}, {213, 245}, {8, 41}, {203, 234}, {31, 62},
{29, 60}, {27, 58}, {25, 56}, {23, 54}, {20, 53}, {18, 51}, {16, 49}, {14, 47},
{12, 45}, {10, 43}, {150, 183}, {193, 227}, {206, 236}, {9, 42}, {218, 249},
{30, 61}, {26, 57}, {17, 50}, {13, 46}, {137, 170}, {149, 182}, {64, 100}, {67,
103}, {68, 97}, {222, 251}, {81, 116}, {157, 184}, {88, 126}, {221, 251}, {89,
127}, {131, 165}, {11, 44}, {204, 235}, {28, 59}, {19, 52}, {129, 166}, {89,
113}, {199, 239}, {136, 160}, {147, 187}, {211, 250}, {133, 175}, {219, 241},
{214, 252}, {11, 32}, {65, 106}, {155, 176}, {14, 34}, {208, 252}, {89, 117},
{15, 35}, {12, 33}, {200, 229}, {195, 238}, {153, 180}, {93, 115}, {220, 242},
{146, 188}, {24, 55}, {223, 240}, {216, 247}, {215, 248}, {194, 237}, {84, 123},
{145, 190}, {215, 231}, {214, 231}, {219, 234}, {217, 235}, {192, 243}, {213,
230}, {16, 36}, {198, 242}, {197, 241}, {81, 101}, {22, 34}, {19, 39}, {18, 38},
{17, 37}, {131, 182}, {220, 233}, {76, 122}, {79, 121}, {143, 185}, {159, 169},
{156, 171}, {146, 170}, {214, 238}, {212, 236}, {200, 240}, {64, 121}, {205,
244}, {201, 240}, {133, 191}, {207, 244}, {210, 233}, {20, 40}, {147, 175},
{135, 186}, {15, 48}, {222, 225}, {221, 226}, {204, 243}, {129, 190}, {149,
213}, {186, 250}, {183, 247}, {177, 241}, {150, 214}, {182, 247}, {174, 236},
{187, 249}, {47, 108}, {144, 211}, {153, 218}, {59, 127}, {190, 250}, {178,
246}, {156, 216}, {160, 228}, {58, 127}, {172, 233}, {145, 212}, {55, 113}, {57,
126}, {173, 234}, {51, 123}, {53, 125}, {52, 124}, {56, 113}, {152, 209}, {163,
234}, {142, 196}, {162, 232}, {13, 65}, {31, 83}, {30, 82}, {29, 81}, {28, 80},
{15, 67}, {14, 66}, {131, 207}, {142, 195}, {177, 252}, {154, 215}, {32, 110},
{47, 97}, {46, 96}, {33, 111}, {138, 197}, {181, 250}, {169, 230}, {168, 231},
{28, 76}, {188, 236}, {187, 235}, {53, 101}, {52, 100}, {132, 212}, {50, 99},
{181, 228}, {34, 112}, {167, 245}, {63, 109}, {49, 99}, {48, 98}, {35, 113},
{39, 116}, {16, 68}, {63, 107}, {27, 79}, {26, 78}, {25, 77}, {24, 76}, {19,
71}, {18, 70}, {17, 69}, {132, 208}, {35, 118}, {189, 232}, {47, 122}, {45,
120}, {36, 114}, {37, 115}, {46, 121}, {30, 70}, {137, 209}, {161, 249}, {45,
116}, {184, 225}, {139, 210}, {166, 252}, {185, 227}, {44, 119}, {185, 226},
{139, 208}, {155, 192}, {20, 72}, {50, 110}, {42, 118}, {41, 117}, {23, 75},
{22, 74}, {21, 73}, {141, 209}, {61, 96}, {145, 204}, {151, 202}, {154, 199},
{49, 111}, {60, 98}, {43, 116}, {134, 230}, {186, 218}, {135, 231}, {33, 64},
{172, 205}, {55, 86}, {48, 82}, {191, 221}, {38, 69}, {174, 205}, {138, 233},
{183, 211}, {163, 198}, {170, 207}, {52, 83}, {191, 215}, {178, 219}, {146,
248}, {160, 202}, {49, 90}, {161, 202}, {148, 249}, {56, 87}, {189, 210}, {176,
223}, {171, 196}, {22, 103}, {62, 79}, {29, 108}, {26, 107}, {24, 105}, {165,
212}, {31, 109}, {45, 95}, {44, 94}, {41, 91}, {40, 90}, {37, 87}, {36, 86},
{134, 244}, {21, 102}, {189, 206}, {25, 106}, {144, 227}, {163, 208}, {32, 84},
{33, 85}, {173, 216}, {42, 92}, {56, 78}, {43, 93}, {128, 246}, {143, 248},
{164, 211}, {177, 201}, {27, 98}, {165, 220}, {140, 247}, {180, 207}, {158,
229}, {147, 239}, {38, 88}, {51, 77}, {39, 89}, {23, 104}, {164, 219}, {66,
194}, {67, 195}, {93, 220}, {64, 194}, {60, 191}, {57, 188}, {59, 190}, {101,
224}, {58, 189}, {73, 193}, {104, 224}, {105, 225}, {106, 226}, {87, 222}, {86,
221}, {126, 245}, {54, 187}, {95, 210}, {84, 199}, {88, 203}, {80, 196}, {82,
198}, {81, 197}, {93, 201}, {91, 206}, {94, 203}, {124, 229}, {120, 227}, {85,
200}, {122, 228}, {57, 155}, {102, 196}, {104, 203}, {58, 156}, {127, 217}, {55,
158}, {50, 152}, {51, 153}, {103, 202}, {53, 154}, {124, 205}, {34, 144}, {117,
199}, {119, 197}, {39, 148}, {114, 193}, {125, 206}, {36, 145}, {38, 147}, {37,
146}, {123, 204}, {46, 151}, {59, 128}, {41, 149}, {62, 130}, {42, 150}, {40,
149}, {60, 129}, {97, 223}, {118, 200}, {120, 198}, {54, 137}, {114, 178}, {65,
131}, {73, 139}, {72, 138}, {69, 135}, {68, 134}, {78, 141}, {123, 184}, {114,
182}, {115, 183}, {109, 168}, {118, 179}, {66, 132}, {67, 133}, {104, 174},
{105, 175}, {75, 140}, {96, 167}, {125, 186}, {74, 130}, {99, 171}, {80, 153},
{96, 170}, {102, 172}, {103, 173}, {120, 179}, {75, 135}, {70, 136}, {71, 137},
{98, 178}, {121, 169}, {125, 173}, {73, 152}, {78, 154}, {110, 185}, {111, 184},
{70, 159}, {85, 143}, {90, 128}, {106, 176}, {107, 177}, {110, 180}, {111, 181},
{112, 171}, {65, 157}, {75, 151}, {66, 158}, {80, 141}, {83, 142}, {124, 162},
{108, 179}, {108, 141}, {71, 160}, {107, 140}, {119, 159}, {72, 161}, {97, 139},
{117, 159}, {119, 157}, {91, 176}, {101, 142}, {82, 162}, {85, 165}, {84, 164},
{83, 163}, {112, 129}, {115, 130}, {92, 174}, {100, 150}, {102, 148}, {92, 175},
{99, 151}, {126, 138}, {122, 143}, {94, 168}, {95, 169}, {105, 144}, {92, 167},
{100, 152}, {61, 192}, {91, 166}, {62, 193} }>;
(II) A more general form is to represent the graph as the orbit of {132, 133}
under the group generated by the following permutations:
a: (2, 6)(3, 4)(5, 14)(7, 19)(8, 9)(10, 27)(11, 12)(13, 34)(15, 39)(16, 17)(18,
47)(20, 52)(21, 22)(23, 58)(24, 25)(26, 66)(28, 71)(29, 30)(31, 79)(32, 33)(35,
89)(36, 37)(38, 97)(40, 100)(41, 42)(43, 98)(44, 45)(46, 112)(48, 116)(49,
50)(51, 122)(53, 124)(54, 127)(55, 56)(57, 132)(59, 137)(60, 61)(63, 64)(65,
144)(67, 148)(68, 69)(70, 108)(72, 83)(73, 74)(75, 156)(76, 77)(78, 158)(80,
160)(81, 82)(84, 85)(86, 87)(88, 139)(90, 152)(91, 92)(93, 178)(94, 95)(96,
129)(101, 162)(102, 103)(104, 189)(105, 106)(107, 194)(109, 121)(110, 111)(114,
115)(117, 118)(119, 120)(123, 143)(125, 205)(126, 208)(128, 209)(130, 193)(131,
211)(133, 155)(134, 135)(136, 141)(138, 163)(140, 216)(142, 161)(145, 146)(147,
223)(149, 150)(151, 171)(153, 228)(154, 229)(157, 227)(159, 179)(164, 165)(166,
167)(168, 169)(170, 190)(172, 173)(174, 206)(175, 176)(177, 237)(180, 181)(182,
183)(184, 185)(186, 244)(187, 217)(188, 212)(191, 192)(195, 249)(196, 202)(197,
198)(199, 200)(201, 246)(203, 210)(204, 248)(207, 250)(213, 214)(215, 243)(218,
238)(219, 220)(221, 222)(224, 232)(225, 226)(230, 231)(233, 234)(239, 240)(241,
242)(245, 252) (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, 3)(4, 6)(5, 8)(7, 11)(9, 14)(10, 16)(12, 19)(13, 21)(15, 24)(17, 27)(18,
29)(20, 32)(22, 34)(23, 36)(25, 39)(26, 41)(28, 44)(30, 47)(31, 49)(33, 52)(35,
55)(37, 58)(38, 60)(40, 63)(42, 66)(43, 68)(45, 71)(46, 73)(48, 76)(50, 79)(51,
81)(53, 84)(54, 86)(56, 89)(57, 91)(59, 94)(61, 97)(62, 99)(64, 100)(65,
102)(67, 105)(69, 98)(70, 108)(72, 110)(74, 112)(75, 114)(77, 116)(78, 117)(80,
119)(82, 122)(83, 111)(85, 124)(87, 127)(88, 129)(90, 109)(92, 132)(93, 134)(95,
137)(96, 139)(101, 123)(103, 144)(104, 145)(106, 148)(107, 149)(115, 156)(118,
158)(120, 160)(121, 152)(125, 164)(126, 166)(128, 168)(130, 171)(131, 172)(133,
175)(135, 178)(136, 179)(138, 180)(140, 182)(141, 159)(142, 184)(143, 162)(146,
189)(147, 191)(150, 194)(151, 193)(153, 197)(154, 199)(155, 176)(157, 196)(161,
185)(163, 181)(165, 205)(167, 208)(169, 209)(170, 210)(173, 211)(174, 212)(177,
213)(183, 216)(186, 219)(187, 221)(188, 206)(190, 203)(192, 223)(195, 225)(198,
228)(200, 229)(201, 230)(202, 227)(204, 224)(207, 233)(214, 237)(215, 239)(217,
222)(218, 241)(220, 244)(226, 249)(231, 246)(232, 248)(234, 250)(235, 251)(238,
242)(240, 243)(245, 252)
c: (1, 2)(3, 5)(4, 7)(6, 10)(8, 13)(9, 15)(11, 18)(12, 20)(14, 23)(16, 26)(17,
28)(19, 31)(22, 35)(24, 38)(25, 40)(27, 43)(29, 46)(30, 48)(32, 51)(33, 53)(34,
54)(36, 57)(37, 59)(39, 62)(41, 65)(42, 67)(44, 70)(45, 72)(47, 75)(49, 78)(50,
80)(52, 83)(55, 88)(56, 90)(58, 93)(60, 96)(61, 98)(63, 77)(64, 101)(66,
104)(68, 107)(69, 76)(71, 109)(73, 102)(74, 113)(79, 116)(81, 121)(84, 123)(85,
125)(86, 126)(87, 128)(89, 130)(91, 131)(92, 133)(94, 136)(95, 138)(97, 140)(99,
141)(100, 142)(103, 118)(105, 147)(106, 149)(108, 151)(110, 153)(111, 154)(112,
137)(114, 155)(115, 127)(117, 157)(119, 159)(120, 161)(122, 135)(124, 163)(129,
170)(132, 174)(134, 177)(139, 172)(143, 186)(144, 187)(145, 188)(146, 190)(148,
193)(150, 195)(152, 196)(156, 201)(158, 203)(160, 168)(162, 198)(164, 204)(165,
206)(166, 207)(167, 191)(169, 197)(171, 209)(173, 200)(176, 182)(178, 192)(179,
202)(181, 215)(183, 217)(184, 199)(185, 218)(189, 220)(194, 224)(205, 208)(210,
233)(211, 235)(212, 236)(213, 226)(214, 238)(216, 240)(219, 243)(221, 245)(222,
246)(223, 247)(225, 239)(227, 249)(228, 231)(229, 234)(230, 241)(232, 242)(237,
251)(244, 252)(248, 250)
C4[ 252, 47 ]
252
-1 2 3 4 6
-2 1 5 7 10
-3 11 1 16 8
-4 1 12 17 9
-5 2 13 26 18
-6 1 14 27 19
-7 2 15 28 20
-8 3 29 41 21
-9 22 4 30 42
-10 23 2 31 43
-11 44 24 3 32
-12 33 45 25 4
-13 46 5 21 65
-14 66 34 47 6
-15 67 35 48 7
-16 68 3 36 49
-17 69 4 37 50
-18 70 5 38 51
-19 71 6 39 52
-20 72 7 40 53
-21 13 102 73 8
-22 34 103 74 9
-23 104 75 10 54
-24 11 55 105 76
-25 77 12 56 106
-26 78 57 5 107
-27 79 58 6 98
-28 80 59 7 76
-29 81 60 8 108
-30 70 82 61 9
-31 83 62 10 109
-32 11 110 84 63
-33 12 111 85 64
-34 22 144 112 14
-35 113 15 118 54
-36 145 114 16 86
-37 146 115 17 87
-38 88 69 147 18
-39 89 148 116 19
-40 90 149 63 20
-41 91 149 117 8
-42 92 150 118 9
-43 93 61 116 10
-44 11 48 94 119
-45 12 116 95 120
-46 121 13 96 151
-47 122 14 97 108
-48 44 15 82 98
-49 99 111 90 16
-50 99 110 17 152
-51 77 123 18 153
-52 100 124 83 19
-53 154 101 125 20
-54 187 23 35 137
-55 24 113 158 86
-56 78 25 113 87
-57 155 188 26 126
-58 156 189 27 127
-59 190 28 127 128
-60 191 29 129 98
-61 192 30 96 43
-62 79 193 31 130
-63 40 107 32 109
-64 33 121 100 194
-65 13 157 106 131
-66 132 14 158 194
-67 133 15 103 195
-68 77 134 16 97
-69 135 38 17 76
-70 136 159 18 30
-71 77 137 160 19
-72 79 138 161 20
-73 193 139 152 21
-74 22 88 90 130
-75 23 135 140 151
-76 122 24 69 28
-77 68 25 71 51
-78 154 56 26 141
-79 121 27 72 62
-80 28 141 196 153
-81 101 116 29 197
-82 198 48 30 162
-83 52 31 163 142
-84 199 123 32 164
-85 33 143 165 200
-86 55 221 36 95
-87 56 222 37 94
-88 38 126 203 74
-89 113 39 127 117
-90 49 40 128 74
-91 176 166 41 206
-92 167 42 174 175
-93 220 201 115 43
-94 44 168 203 87
-95 45 210 169 86
-96 46 167 170 61
-97 68 47 223 139
-98 178 48 27 60
-99 49 50 171 151
-100 150 52 64 152
-101 81 224 53 142
-102 148 172 196 21
-103 22 67 202 173
-104 23 224 203 174
-105 144 24 225 175
-106 176 25 226 65
-107 177 26 63 140
-108 47 179 29 141
-109 112 168 63 31
-110 180 50 185 32
-111 33 49 181 184
-112 34 171 129 109
-113 55 56 89 35
-114 178 36 182 193
-115 37 93 183 130
-116 45 81 39 43
-117 89 199 159 41
-118 35 200 179 42
-119 44 157 159 197
-120 198 45 179 227
-121 46 79 169 64
-122 143 47 228 76
-123 204 51 84 184
-124 205 52 162 229
-125 173 206 53 186
-126 88 57 245 138
-127 89 58 59 217
-128 90 59 136 246
-129 166 112 190 60
-130 157 115 62 74
-131 165 182 207 65
-132 66 133 212 208
-133 132 67 191 175
-134 68 156 244 230
-135 231 69 75 186
-136 70 158 160 128
-137 209 71 170 54
-138 233 126 72 197
-139 210 73 97 208
-140 247 172 107 75
-141 209 78 80 108
-142 101 83 195 196
-143 122 248 85 185
-144 34 211 105 227
-145 36 190 212 204
-146 188 37 170 248
-147 187 38 239 175
-148 155 102 39 249
-149 213 182 40 41
-150 100 214 183 42
-151 99 46 202 75
-152 209 100 50 73
-153 80 180 51 218
-154 78 199 215 53
-155 176 57 148 192
-156 134 58 171 216
-157 184 119 130 65
-158 55 66 136 229
-159 70 169 117 119
-160 136 202 71 228
-161 202 72 249 162
-162 232 124 82 161
-163 198 234 83 208
-164 188 211 84 219
-165 220 212 85 131
-166 91 180 129 252
-167 245 92 181 96
-168 231 179 94 109
-169 121 159 95 230
-170 146 137 96 207
-171 99 112 156 196
-172 233 102 205 140
-173 234 103 125 216
-174 92 104 236 205
-175 133 92 147 105
-176 155 91 223 106
-177 201 107 241 252
-178 114 246 98 219
-179 168 118 108 120
-180 110 166 207 153
-181 111 167 228 250
-182 114 247 149 131
-183 211 115 247 150
-184 111 123 157 225
-185 110 143 226 227
-186 135 125 250 218
-187 147 235 249 54
-188 57 146 236 164
-189 210 232 58 206
-190 145 59 129 250
-191 133 221 60 215
-192 155 243 222 61
-193 114 62 73 227
-194 66 237 216 64
-195 67 238 217 142
-196 80 102 171 142
-197 81 138 119 241
-198 242 82 163 120
-199 154 84 117 239
-200 85 118 229 240
-201 209 177 93 240
-202 103 160 161 151
-203 88 234 104 94
-204 243 123 145 235
-205 244 124 172 174
-206 189 91 125 236
-207 244 180 170 131
-208 132 139 163 252
-209 201 137 141 152
-210 189 233 95 139
-211 144 183 250 164
-212 132 165 145 236
-213 245 149 218 230
-214 231 150 238 252
-215 154 231 191 248
-216 156 247 194 173
-217 223 235 127 195
-218 213 249 153 186
-219 178 234 164 241
-220 165 242 233 93
-221 191 226 86 251
-222 192 225 251 87
-223 176 217 97 240
-224 101 104 240 251
-225 242 222 105 184
-226 221 106 185 241
-227 144 193 185 120
-228 122 181 160 238
-229 243 200 124 158
-230 243 134 169 213
-231 135 168 214 215
-232 189 162 239 251
-233 220 210 138 172
-234 203 173 163 219
-235 187 204 248 217
-236 188 212 206 174
-237 242 245 246 194
-238 244 214 195 228
-239 199 232 147 246
-240 200 201 223 224
-241 177 226 197 219
-242 198 220 225 237
-243 192 204 229 230
-244 134 205 238 207
-245 167 213 126 237
-246 178 237 128 239
-247 182 183 216 140
-248 143 146 235 215
-249 187 148 161 218
-250 211 190 181 186
-251 221 232 222 224
-252 166 177 214 208
0