Graph forms
for C4 [ 273, 15 ] = UG(Rmap(546,94){12,4|7}_13)
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On this page are computer-accessible forms for the graph C4[ 273, 15 ] =
UG(Rmap(546,94){12,4|7}_13).
(I) Following is a form readable by MAGMA:
g:=Graph<273|{ {146, 147}, {1, 3}, {229, 231}, {156, 158}, {1, 2}, {1, 5}, {2,
7}, {201, 204}, {3, 6}, {2, 4}, {259, 261}, {8, 15}, {248, 255}, {232, 239}, {3,
11}, {1, 8}, {212, 221}, {7, 14}, {160, 169}, {161, 168}, {100, 110}, {6, 13},
{258, 265}, {183, 188}, {182, 189}, {97, 109}, {246, 250}, {228, 232}, {99,
111}, {117, 121}, {4, 9}, {2, 12}, {260, 266}, {244, 250}, {67, 77}, {97, 111},
{98, 108}, {112, 126}, {118, 120}, {5, 10}, {211, 220}, {68, 75}, {67, 76}, {16,
31}, {3, 18}, {15, 30}, {13, 28}, {138, 152}, {199, 213}, {14, 29}, {205, 222},
{4, 16}, {43, 63}, {5, 17}, {235, 252}, {236, 251}, {71, 95}, {169, 177}, {9,
19}, {227, 249}, {12, 22}, {165, 185}, {205, 209}, {136, 149}, {224, 253}, {204,
209}, {4, 26}, {173, 179}, {64, 94}, {11, 21}, {10, 20}, {7, 25}, {6, 24}, {5,
27}, {8, 23}, {175, 176}, {137, 150}, {6, 38}, {31, 63}, {30, 62}, {29, 61},
{28, 60}, {18, 50}, {8, 40}, {7, 39}, {92, 124}, {152, 186}, {203, 233}, {73,
106}, {66, 102}, {194, 230}, {82, 118}, {195, 230}, {16, 54}, {17, 55}, {91,
125}, {89, 126}, {223, 248}, {144, 183}, {214, 254}, {193, 232}, {208, 249}, {9,
35}, {27, 49}, {26, 48}, {87, 125}, {218, 241}, {151, 186}, {10, 36}, {12, 34},
{11, 37}, {130, 173}, {211, 252}, {9, 56}, {17, 32}, {11, 58}, {192, 242}, {10,
57}, {18, 33}, {148, 160}, {197, 241}, {222, 235}, {24, 46}, {198, 240}, {25,
47}, {139, 189}, {12, 59}, {199, 240}, {131, 180}, {142, 182}, {215, 239}, {143,
183}, {134, 191}, {202, 243}, {198, 255}, {196, 253}, {14, 52}, {223, 229}, {23,
45}, {22, 44}, {19, 41}, {15, 53}, {222, 229}, {193, 252}, {13, 51}, {21, 43},
{20, 42}, {29, 93}, {46, 110}, {40, 105}, {62, 127}, {133, 196}, {136, 202},
{61, 126}, {172, 239}, {157, 217}, {16, 85}, {176, 245}, {171, 238}, {18, 87},
{143, 201}, {144, 214}, {17, 86}, {170, 237}, {135, 192}, {24, 80}, {187, 243},
{25, 81}, {167, 236}, {169, 226}, {38, 106}, {39, 107}, {159, 210}, {166, 235},
{32, 111}, {148, 219}, {161, 241}, {27, 74}, {176, 225}, {37, 116}, {35, 114},
{33, 112}, {148, 197}, {50, 96}, {51, 97}, {26, 73}, {184, 235}, {59, 104}, {55,
100}, {34, 113}, {150, 194}, {52, 97}, {185, 236}, {54, 99}, {36, 115}, {53,
98}, {140, 219}, {19, 75}, {181, 237}, {23, 79}, {22, 78}, {21, 77}, {20, 76},
{180, 237}, {182, 239}, {180, 238}, {190, 228}, {15, 84}, {175, 244}, {170,
246}, {14, 83}, {58, 103}, {56, 101}, {128, 221}, {135, 217}, {13, 82}, {57,
102}, {32, 64}, {40, 72}, {39, 71}, {38, 70}, {37, 69}, {36, 68}, {35, 67}, {34,
66}, {33, 65}, {129, 225}, {130, 226}, {131, 227}, {149, 245}, {132, 229}, {174,
207}, {166, 199}, {162, 195}, {20, 118}, {167, 197}, {25, 123}, {24, 122}, {21,
119}, {150, 244}, {129, 226}, {177, 210}, {60, 88}, {19, 117}, {27, 125}, {26,
124}, {159, 248}, {154, 242}, {157, 245}, {44, 70}, {157, 247}, {138, 230},
{139, 231}, {158, 242}, {22, 120}, {49, 95}, {23, 121}, {133, 234}, {28, 108},
{31, 110}, {48, 65}, {47, 94}, {45, 92}, {43, 90}, {41, 88}, {155, 233}, {187,
201}, {186, 200}, {175, 221}, {30, 109}, {46, 93}, {42, 89}, {154, 233}, {158,
234}, {168, 220}, {140, 249}, {164, 209}, {165, 208}, {44, 91}, {188, 203},
{145, 230}, {144, 232}, {137, 243}, {162, 216}, {30, 101}, {128, 251}, {159,
228}, {171, 215}, {151, 234}, {156, 225}, {164, 217}, {80, 212}, {81, 213},
{109, 233}, {32, 165}, {74, 207}, {72, 205}, {40, 173}, {34, 167}, {33, 166},
{73, 206}, {115, 251}, {120, 240}, {66, 203}, {121, 240}, {126, 247}, {52, 190},
{75, 193}, {70, 204}, {123, 241}, {35, 168}, {65, 202}, {62, 181}, {39, 172},
{112, 251}, {36, 169}, {38, 171}, {113, 252}, {119, 250}, {100, 234}, {37, 170},
{71, 200}, {113, 225}, {84, 197}, {86, 199}, {101, 244}, {62, 172}, {106, 248},
{85, 198}, {102, 245}, {88, 205}, {108, 249}, {54, 160}, {59, 173}, {55, 161},
{102, 255}, {75, 208}, {117, 238}, {70, 218}, {79, 211}, {78, 210}, {127, 227},
{76, 209}, {104, 246}, {105, 247}, {50, 146}, {45, 140}, {93, 250}, {76, 228},
{85, 253}, {90, 242}, {98, 202}, {48, 154}, {59, 145}, {57, 147}, {56, 146},
{53, 159}, {52, 158}, {49, 155}, {95, 243}, {83, 254}, {123, 214}, {50, 156},
{58, 148}, {51, 157}, {122, 213}, {116, 198}, {127, 204}, {45, 152}, {47, 153},
{71, 255}, {121, 192}, {123, 194}, {125, 196}, {31, 164}, {44, 151}, {122, 193},
{41, 149}, {42, 150}, {91, 231}, {114, 207}, {115, 206}, {28, 162}, {29, 163},
{94, 224}, {63, 128}, {107, 212}, {124, 195}, {61, 253}, {63, 254}, {69, 132},
{66, 131}, {64, 129}, {65, 130}, {88, 155}, {89, 154}, {101, 166}, {96, 164},
{77, 139}, {79, 137}, {78, 136}, {87, 144}, {120, 191}, {60, 246}, {112, 186},
{113, 187}, {116, 190}, {72, 133}, {74, 135}, {114, 188}, {115, 189}, {73, 134},
{109, 189}, {124, 172}, {100, 181}, {127, 174}, {106, 184}, {107, 185}, {119,
165}, {68, 151}, {87, 131}, {117, 163}, {99, 180}, {56, 224}, {92, 132}, {84,
141}, {86, 143}, {80, 138}, {81, 139}, {67, 152}, {85, 142}, {69, 153}, {68,
153}, {104, 182}, {105, 183}, {83, 140}, {78, 174}, {57, 216}, {103, 133}, {108,
142}, {46, 203}, {110, 137}, {111, 136}, {53, 221}, {55, 223}, {54, 222}, {99,
138}, {48, 218}, {49, 219}, {64, 171}, {83, 184}, {92, 176}, {93, 177}, {94,
178}, {95, 179}, {58, 215}, {96, 141}, {51, 220}, {104, 135}, {105, 134}, {72,
185}, {96, 145}, {119, 134}, {74, 184}, {103, 149}, {43, 216}, {60, 200}, {86,
162}, {61, 201}, {90, 174}, {91, 175}, {82, 167}, {47, 217}, {77, 187}, {84,
163}, {107, 147}, {69, 188}, {98, 153}, {42, 215}, {41, 214}, {79, 256}, {80,
257}, {82, 259}, {81, 258}, {89, 262}, {90, 261}, {103, 270}, {114, 267}, {118,
268}, {116, 271}, {122, 261}, {141, 270}, {142, 269}, {130, 260}, {141, 267},
{132, 259}, {129, 267}, {128, 272}, {156, 269}, {145, 262}, {155, 257}, {146,
265}, {147, 264}, {143, 273}, {170, 264}, {179, 272}, {163, 266}, {161, 269},
{160, 273}, {178, 256}, {191, 269}, {178, 257}, {177, 263}, {179, 261}, {178,
260}, {168, 272}, {181, 268}, {190, 260}, {191, 257}, {206, 270}, {207, 271},
{196, 263}, {200, 267}, {195, 263}, {212, 273}, {194, 271}, {206, 256}, {192,
273}, {216, 266}, {219, 265}, {218, 264}, {208, 262}, {223, 262}, {210, 265},
{220, 263}, {213, 270}, {211, 264}, {224, 259}, {236, 271}, {227, 256}, {231,
266}, {226, 268}, {237, 258}, {254, 268}, {247, 258}, {238, 272} }>;
(II) A more general form is to represent the graph as the orbit of {146, 147}
under the group generated by the following permutations:
a: (1, 2)(3, 4)(5, 7)(6, 9)(8, 12)(10, 14)(11, 16)(13, 19)(15, 22)(17, 25)(18,
26)(20, 29)(21, 31)(23, 34)(24, 35)(27, 39)(28, 41)(30, 44)(32, 47)(33, 48)(36,
52)(37, 54)(38, 56)(40, 59)(42, 61)(43, 63)(45, 66)(46, 67)(49, 71)(50, 73)(51,
75)(53, 78)(55, 81)(57, 83)(58, 85)(60, 88)(62, 91)(64, 94)(68, 97)(69, 99)(70,
101)(72, 104)(74, 107)(76, 93)(77, 110)(79, 113)(80, 114)(82, 117)(84, 120)(86,
123)(87, 124)(89, 126)(90, 128)(92, 131)(96, 134)(98, 136)(100, 139)(102,
140)(103, 142)(105, 145)(106, 146)(108, 149)(109, 151)(111, 153)(112, 154)(115,
158)(116, 160)(118, 163)(119, 164)(121, 167)(122, 168)(125, 172)(127, 175)(129,
178)(132, 180)(133, 182)(135, 185)(137, 187)(138, 188)(141, 191)(143, 194)(144,
195)(147, 184)(148, 198)(150, 201)(152, 203)(155, 200)(156, 206)(157, 208)(159,
210)(161, 213)(162, 214)(165, 217)(166, 218)(169, 190)(170, 222)(171, 224)(174,
221)(176, 227)(177, 228)(181, 231)(183, 230)(186, 233)(189, 234)(192, 236)(193,
220)(196, 239)(197, 240)(199, 241)(204, 244)(205, 246)(207, 212)(209, 250)(211,
252)(215, 253)(216, 254)(219, 255)(223, 258)(225, 256)(226, 260)(229, 237)(232,
263)(235, 264)(238, 259)(242, 251)(245, 249)(247, 262)(248, 265)(257, 267)(261,
272)(266, 268)(269, 270)(271, 273) (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, 13)(10, 15)(12, 18)(14, 21)(16, 24)(17, 23)(19,
28)(20, 30)(22, 33)(25, 37)(26, 38)(27, 40)(29, 43)(31, 46)(32, 45)(34, 50)(35,
51)(36, 53)(39, 58)(41, 60)(42, 62)(44, 65)(47, 69)(48, 70)(49, 72)(52, 77)(54,
80)(55, 79)(56, 82)(57, 84)(59, 87)(61, 90)(63, 93)(64, 92)(66, 96)(67, 97)(68,
98)(71, 103)(73, 106)(74, 105)(75, 108)(76, 109)(78, 112)(81, 116)(83, 119)(85,
122)(86, 121)(89, 127)(91, 130)(94, 132)(95, 133)(99, 138)(100, 137)(101,
118)(102, 141)(104, 144)(107, 148)(111, 152)(113, 156)(114, 157)(115, 159)(117,
162)(120, 166)(123, 170)(124, 171)(125, 173)(126, 174)(128, 177)(129, 176)(131,
145)(134, 184)(135, 183)(136, 186)(139, 190)(140, 165)(142, 193)(143, 192)(146,
167)(147, 197)(149, 200)(150, 181)(151, 202)(154, 204)(155, 205)(158, 187)(160,
212)(161, 211)(163, 216)(164, 203)(168, 220)(169, 221)(172, 215)(175, 226)(178,
229)(179, 196)(180, 230)(182, 232)(185, 219)(188, 217)(189, 228)(191, 235)(194,
237)(195, 238)(198, 213)(199, 240)(201, 242)(206, 248)(207, 247)(208, 249)(209,
233)(210, 251)(214, 246)(222, 257)(223, 256)(224, 259)(227, 262)(231, 260)(234,
243)(236, 265)(241, 264)(244, 268)(245, 267)(250, 254)(252, 269)(253, 261)(255,
270)(258, 271)(263, 272)
c: (2, 5, 8, 3)(4, 10, 23, 11)(6, 7, 17, 15)(9, 20, 45, 21)(12, 27, 40, 18)(13,
14, 32, 30)(16, 36, 79, 37)(19, 42, 92, 43)(22, 49, 105, 50)(24, 25, 55, 53)(26,
57, 121, 58)(28, 29, 64, 62)(31, 68, 137, 69)(33, 34, 74, 72)(35, 76, 152,
77)(38, 39, 86, 84)(41, 89, 176, 90)(44, 95, 183, 96)(46, 47, 100, 98)(48, 102,
192, 103)(51, 52, 111, 109)(54, 115, 211, 116)(56, 118, 140, 119)(59, 125, 173,
87)(60, 61, 129, 127)(63, 75, 150, 132)(65, 66, 135, 133)(70, 71, 143, 141)(73,
147, 240, 148)(78, 155, 247, 156)(80, 81, 161, 159)(82, 83, 165, 101)(85, 169,
256, 170)(88, 126, 225, 174)(91, 179, 144, 145)(93, 94, 181, 108)(99, 189, 220,
190)(104, 196, 130, 131)(106, 107, 199, 197)(110, 153)(112, 113, 207, 205)(114,
209, 186, 187)(117, 215, 124, 216)(120, 219, 134, 146)(122, 123, 223, 221)(128,
193, 194, 229)(136, 233, 157, 158)(138, 139, 168, 228)(142, 177, 178, 237)(149,
154, 245, 242)(151, 243, 188, 164)(160, 206, 264, 198)(162, 163, 171, 172)(166,
167, 184, 185)(175, 261, 214, 262)(180, 182, 263, 260)(191, 265)(195, 266, 238,
239)(200, 201, 267, 204)(202, 203, 217, 234)(208, 244, 259, 254)(210, 257, 258,
269)(212, 213, 241, 248)(218, 255, 273, 270)(222, 251, 252, 271)(224, 268, 249,
250)(226, 227, 246, 253)(230, 231, 272, 232)(235, 236)
C4[ 273, 15 ]
273
-1 2 3 5 8
-2 1 12 4 7
-3 11 1 6 18
-4 2 26 16 9
-5 1 27 17 10
-6 13 24 3 38
-7 2 14 25 39
-8 1 23 15 40
-9 56 35 4 19
-10 57 36 5 20
-11 3 58 37 21
-12 22 34 2 59
-13 82 6 28 51
-14 83 7 29 52
-15 84 8 30 53
-16 4 85 31 54
-17 55 5 86 32
-18 33 3 50 87
-19 117 41 9 75
-20 118 42 10 76
-21 11 77 119 43
-22 44 12 78 120
-23 121 45 79 8
-24 122 46 80 6
-25 123 47 81 7
-26 124 4 48 73
-27 125 5 49 74
-28 13 60 162 108
-29 14 93 61 163
-30 101 15 62 109
-31 110 16 63 164
-32 165 111 17 64
-33 166 112 18 65
-34 66 12 167 113
-35 67 168 114 9
-36 68 169 115 10
-37 11 69 170 116
-38 70 6 171 106
-39 71 7 172 107
-40 72 105 8 173
-41 88 214 149 19
-42 89 215 150 20
-43 90 216 63 21
-44 22 91 70 151
-45 23 92 140 152
-46 110 24 93 203
-47 25 94 217 153
-48 154 26 218 65
-49 155 27 95 219
-50 156 146 18 96
-51 220 13 157 97
-52 14 190 158 97
-53 221 15 159 98
-54 99 222 16 160
-55 100 223 17 161
-56 101 146 224 9
-57 102 147 216 10
-58 11 103 148 215
-59 12 145 104 173
-60 88 200 246 28
-61 253 201 126 29
-62 181 127 172 30
-63 254 128 31 43
-64 94 171 129 32
-65 33 48 202 130
-66 34 102 203 131
-67 77 35 152 76
-68 36 151 75 153
-69 132 188 37 153
-70 44 38 204 218
-71 200 255 39 95
-72 133 40 205 185
-73 134 26 106 206
-74 135 27 184 207
-75 68 193 19 208
-76 209 67 228 20
-77 187 67 139 21
-78 22 210 136 174
-79 23 211 256 137
-80 24 212 257 138
-81 25 213 258 139
-82 13 167 259 118
-83 254 14 140 184
-84 15 141 163 197
-85 198 253 16 142
-86 143 199 17 162
-87 144 125 18 131
-88 155 60 205 41
-89 154 126 42 262
-90 242 261 174 43
-91 44 231 125 175
-92 132 176 45 124
-93 177 46 29 250
-94 178 47 224 64
-95 243 179 49 71
-96 145 50 141 164
-97 111 51 52 109
-98 202 53 108 153
-99 111 180 138 54
-100 55 110 234 181
-101 56 166 244 30
-102 66 57 255 245
-103 133 58 149 270
-104 135 59 246 182
-105 134 247 40 183
-106 38 248 73 184
-107 212 147 39 185
-108 28 249 98 142
-109 189 233 30 97
-110 100 46 137 31
-111 99 136 97 32
-112 33 126 251 186
-113 187 34 225 252
-114 188 35 267 207
-115 189 36 206 251
-116 198 190 37 271
-117 121 238 19 163
-118 268 82 20 120
-119 165 134 250 21
-120 22 191 118 240
-121 23 192 117 240
-122 24 213 193 261
-123 25 214 194 241
-124 26 92 172 195
-125 91 27 196 87
-126 89 112 247 61
-127 204 62 227 174
-128 221 63 272 251
-129 267 225 226 64
-130 226 260 173 65
-131 66 180 227 87
-132 69 92 259 229
-133 234 103 72 196
-134 191 105 73 119
-135 104 192 74 217
-136 78 111 202 149
-137 110 243 79 150
-138 99 80 152 230
-139 77 231 189 81
-140 45 83 249 219
-141 267 270 84 96
-142 269 182 85 108
-143 201 183 86 273
-144 232 214 183 87
-145 59 96 262 230
-146 56 265 147 50
-147 264 57 146 107
-148 58 160 197 219
-149 245 103 136 41
-150 244 137 194 42
-151 44 68 234 186
-152 45 67 138 186
-153 68 47 69 98
-154 242 89 233 48
-155 88 233 257 49
-156 158 225 269 50
-157 245 247 51 217
-158 242 156 234 52
-159 210 248 228 53
-160 169 148 273 54
-161 55 168 269 241
-162 28 216 195 86
-163 266 29 84 117
-164 209 96 217 31
-165 119 185 32 208
-166 33 199 101 235
-167 34 82 236 197
-168 220 35 161 272
-169 177 36 160 226
-170 264 37 246 237
-171 38 215 238 64
-172 124 39 62 239
-173 179 59 40 130
-174 78 90 127 207
-175 176 221 244 91
-176 245 92 225 175
-177 210 169 93 263
-178 256 257 94 260
-179 95 173 261 272
-180 99 237 238 131
-181 100 268 237 62
-182 189 104 239 142
-183 143 144 188 105
-184 235 83 106 74
-185 165 236 72 107
-186 112 200 151 152
-187 77 243 113 201
-188 69 114 203 183
-189 115 182 139 109
-190 116 260 52 228
-191 134 257 269 120
-192 121 242 135 273
-193 122 232 75 252
-194 123 150 271 230
-195 124 162 230 263
-196 253 133 125 263
-197 167 148 84 241
-198 255 116 85 240
-199 166 213 86 240
-200 267 60 71 186
-201 143 187 61 204
-202 243 136 65 98
-203 66 188 46 233
-204 209 201 70 127
-205 88 209 222 72
-206 256 115 270 73
-207 114 271 74 174
-208 165 249 75 262
-209 204 205 76 164
-210 78 177 265 159
-211 220 264 79 252
-212 221 80 107 273
-213 122 199 81 270
-214 144 254 123 41
-215 58 171 239 42
-216 57 266 162 43
-217 47 135 157 164
-218 264 48 70 241
-219 265 49 148 140
-220 211 168 51 263
-221 212 128 53 175
-222 235 205 229 54
-223 55 248 229 262
-224 253 56 94 259
-225 176 156 113 129
-226 169 268 129 130
-227 256 127 249 131
-228 232 190 159 76
-229 132 231 222 223
-230 145 138 194 195
-231 266 91 139 229
-232 144 193 228 239
-233 154 155 203 109
-234 100 133 158 151
-235 166 222 184 252
-236 167 271 185 251
-237 180 170 181 258
-238 180 171 117 272
-239 232 182 215 172
-240 121 198 199 120
-241 123 161 218 197
-242 154 90 158 192
-243 187 202 137 95
-244 101 150 250 175
-245 176 102 157 149
-246 60 104 170 250
-247 157 126 258 105
-248 255 223 159 106
-249 227 140 108 208
-250 244 246 93 119
-251 112 115 236 128
-252 211 113 235 193
-253 224 61 85 196
-254 268 214 83 63
-255 198 102 71 248
-256 79 178 227 206
-257 155 178 80 191
-258 265 81 247 237
-259 132 224 82 261
-260 178 266 190 130
-261 122 90 179 259
-262 89 145 223 208
-263 220 177 195 196
-264 211 147 170 218
-265 210 146 258 219
-266 231 216 260 163
-267 200 114 129 141
-268 254 181 226 118
-269 156 191 161 142
-270 103 213 206 141
-271 236 116 194 207
-272 168 179 128 238
-273 143 212 192 160
0