Graph forms
for C4 [ 252, 45 ] = MG(Rmap(252,118){6,9|18}_14)
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On this page are computer-accessible forms for the graph C4[ 252, 45 ] =
MG(Rmap(252,118){6,9|18}_14).
(I) Following is a form readable by MAGMA:
g:=Graph<252|{ {148, 149}, {1, 3}, {240, 242}, {113, 115}, {1, 2}, {240, 243},
{13, 14}, {140, 143}, {9, 13}, {90, 94}, {160, 164}, {168, 172}, {169, 173}, {1,
4}, {235, 238}, {8, 13}, {2, 7}, {139, 142}, {112, 118}, {241, 247}, {1, 6},
{242, 245}, {176, 183}, {16, 23}, {8, 15}, {2, 5}, {2, 10}, {241, 249}, {55,
63}, {7, 15}, {6, 14}, {5, 13}, {4, 12}, {3, 11}, {19, 26}, {228, 237}, {227,
234}, {224, 233}, {39, 46}, {21, 31}, {212, 222}, {3, 8}, {65, 74}, {20, 31},
{147, 152}, {33, 45}, {198, 202}, {197, 201}, {4, 9}, {225, 236}, {69, 72},
{146, 156}, {209, 223}, {199, 201}, {17, 30}, {247, 248}, {99, 108}, {97, 110},
{161, 174}, {14, 30}, {229, 245}, {137, 153}, {10, 27}, {228, 245}, {194, 211},
{47, 62}, {12, 29}, {5, 23}, {230, 244}, {192, 210}, {130, 144}, {166, 180}, {3,
16}, {239, 252}, {232, 251}, {207, 220}, {205, 222}, {73, 90}, {64, 83}, {41,
58}, {9, 26}, {7, 20}, {40, 60}, {224, 244}, {41, 61}, {111, 123}, {4, 17}, {38,
51}, {37, 48}, {6, 19}, {34, 52}, {236, 250}, {96, 118}, {5, 18}, {195, 212},
{42, 61}, {11, 28}, {164, 179}, {14, 22}, {238, 246}, {77, 85}, {35, 59}, {11,
18}, {203, 210}, {66, 91}, {12, 22}, {207, 213}, {100, 126}, {161, 187}, {36,
63}, {32, 60}, {231, 251}, {75, 87}, {8, 21}, {231, 250}, {46, 51}, {130, 159},
{6, 24}, {7, 25}, {162, 188}, {10, 21}, {235, 244}, {233, 246}, {174, 177},
{173, 178}, {99, 124}, {98, 125}, {96, 127}, {47, 48}, {91, 123}, {149, 181},
{68, 101}, {219, 250}, {218, 251}, {214, 247}, {80, 113}, {70, 103}, {150, 183},
{15, 45}, {19, 49}, {18, 48}, {23, 52}, {204, 239}, {67, 96}, {27, 56}, {131,
160}, {154, 185}, {86, 114}, {223, 251}, {216, 252}, {22, 51}, {200, 237}, {91,
126}, {30, 59}, {28, 57}, {20, 50}, {192, 230}, {24, 63}, {79, 104}, {29, 58},
{22, 62}, {199, 239}, {194, 234}, {9, 32}, {195, 234}, {78, 103}, {77, 100},
{66, 107}, {64, 105}, {11, 34}, {76, 102}, {206, 228}, {201, 227}, {193, 235},
{79, 101}, {10, 33}, {215, 252}, {210, 249}, {15, 36}, {195, 239}, {213, 249},
{206, 226}, {24, 53}, {196, 233}, {26, 55}, {134, 171}, {83, 125}, {95, 113},
{88, 118}, {152, 182}, {12, 35}, {221, 242}, {217, 246}, {25, 54}, {133, 170},
{151, 184}, {70, 118}, {208, 224}, {76, 124}, {75, 123}, {74, 122}, {73, 121},
{72, 120}, {71, 119}, {29, 44}, {211, 226}, {208, 225}, {78, 127}, {68, 117},
{66, 115}, {30, 44}, {25, 42}, {203, 248}, {141, 185}, {205, 249}, {16, 37},
{18, 39}, {17, 38}, {207, 248}, {67, 116}, {28, 43}, {128, 183}, {24, 32}, {200,
240}, {129, 184}, {131, 186}, {132, 189}, {141, 180}, {145, 168}, {134, 188},
{202, 240}, {19, 40}, {218, 225}, {216, 227}, {133, 190}, {146, 169}, {23, 43},
{89, 101}, {20, 41}, {206, 243}, {16, 46}, {84, 106}, {17, 47}, {153, 167}, {21,
42}, {217, 230}, {209, 238}, {27, 36}, {147, 211}, {148, 212}, {144, 209}, {43,
105}, {177, 243}, {135, 197}, {145, 210}, {175, 236}, {178, 246}, {136, 205},
{185, 252}, {138, 207}, {44, 106}, {152, 222}, {128, 199}, {191, 248}, {137,
206}, {145, 214}, {160, 231}, {148, 220}, {57, 112}, {172, 229}, {129, 200},
{159, 214}, {135, 204}, {158, 213}, {163, 232}, {31, 83}, {187, 247}, {62, 114},
{61, 113}, {165, 233}, {166, 234}, {167, 235}, {132, 201}, {188, 241}, {183,
250}, {134, 203}, {147, 221}, {133, 202}, {142, 223}, {58, 104}, {190, 237},
{52, 96}, {186, 238}, {55, 99}, {54, 98}, {53, 97}, {136, 220}, {137, 221},
{138, 222}, {56, 111}, {62, 102}, {176, 232}, {25, 64}, {173, 244}, {55, 110},
{53, 108}, {50, 107}, {29, 68}, {27, 66}, {146, 203}, {31, 69}, {191, 229},
{150, 204}, {26, 65}, {179, 232}, {174, 245}, {54, 109}, {154, 193}, {56, 100},
{151, 202}, {155, 198}, {59, 101}, {142, 208}, {143, 209}, {28, 67}, {184, 231},
{179, 236}, {172, 243}, {33, 65}, {34, 64}, {181, 215}, {167, 196}, {163, 199},
{178, 214}, {177, 213}, {165, 193}, {42, 79}, {190, 219}, {52, 81}, {49, 84},
{32, 70}, {60, 90}, {40, 78}, {33, 71}, {189, 218}, {56, 80}, {181, 221}, {58,
82}, {57, 81}, {59, 82}, {34, 72}, {186, 208}, {182, 220}, {175, 197}, {39, 77},
{38, 76}, {35, 73}, {164, 200}, {48, 93}, {50, 95}, {156, 241}, {36, 74}, {182,
216}, {51, 93}, {43, 69}, {37, 75}, {49, 94}, {143, 224}, {157, 242}, {37, 85},
{180, 196}, {175, 223}, {41, 89}, {40, 88}, {39, 87}, {38, 86}, {144, 225},
{189, 204}, {166, 215}, {46, 92}, {191, 205}, {47, 92}, {171, 216}, {54, 69},
{151, 228}, {53, 65}, {150, 227}, {44, 90}, {176, 198}, {45, 91}, {155, 237},
{35, 84}, {57, 78}, {49, 70}, {149, 226}, {63, 71}, {163, 219}, {159, 230},
{170, 211}, {158, 229}, {187, 192}, {185, 194}, {162, 217}, {45, 80}, {50, 79},
{170, 215}, {157, 226}, {171, 212}, {125, 217}, {126, 218}, {127, 219}, {116,
192}, {119, 193}, {127, 198}, {120, 194}, {121, 195}, {126, 197}, {60, 128},
{61, 129}, {122, 196}, {108, 172}, {109, 173}, {110, 174}, {111, 175}, {112,
176}, {67, 130}, {104, 169}, {106, 171}, {115, 177}, {71, 132}, {75, 136}, {105,
170}, {119, 180}, {97, 165}, {98, 166}, {99, 167}, {76, 137}, {93, 152}, {110,
168}, {116, 178}, {117, 179}, {68, 131}, {87, 144}, {77, 138}, {92, 148}, {95,
151}, {94, 150}, {93, 149}, {88, 145}, {89, 146}, {115, 191}, {72, 133}, {74,
135}, {108, 161}, {117, 184}, {120, 181}, {80, 158}, {81, 159}, {112, 190}, {73,
134}, {92, 147}, {103, 168}, {109, 162}, {121, 182}, {111, 189}, {84, 128},
{104, 188}, {125, 169}, {86, 131}, {85, 130}, {86, 143}, {124, 165}, {81, 139},
{85, 142}, {87, 139}, {102, 186}, {103, 187}, {82, 140}, {83, 141}, {109, 141},
{122, 154}, {124, 157}, {120, 155}, {121, 156}, {102, 140}, {107, 129}, {114,
153}, {100, 136}, {114, 157}, {119, 135}, {123, 138}, {82, 160}, {105, 155},
{107, 158}, {106, 156}, {97, 153}, {98, 154}, {88, 161}, {117, 140}, {89, 162},
{95, 164}, {94, 163}, {122, 132}, {116, 139} }>;
(II) A more general form is to represent the graph as the orbit of {148, 149}
under the group generated by the following permutations:
a: (1, 2)(3, 5)(4, 7)(6, 10)(8, 13)(9, 15)(11, 18)(12, 20)(14, 21)(16, 23)(17,
25)(19, 27)(22, 31)(24, 33)(26, 36)(28, 39)(29, 41)(30, 42)(32, 45)(34, 48)(35,
50)(37, 52)(38, 54)(40, 56)(43, 46)(44, 61)(47, 64)(49, 66)(51, 69)(53, 71)(55,
74)(57, 77)(59, 79)(60, 80)(62, 83)(63, 65)(67, 87)(68, 89)(70, 91)(72, 93)(73,
95)(75, 96)(76, 98)(78, 100)(81, 85)(82, 104)(84, 107)(86, 109)(88, 111)(90,
113)(92, 105)(94, 115)(97, 119)(99, 122)(102, 125)(103, 126)(106, 129)(108,
132)(110, 135)(112, 138)(114, 141)(116, 144)(117, 146)(118, 123)(120, 149)(121,
151)(124, 154)(127, 136)(128, 158)(130, 139)(131, 162)(133, 152)(134, 164)(137,
166)(140, 169)(142, 159)(143, 173)(145, 175)(147, 170)(148, 155)(150, 177)(153,
180)(156, 184)(157, 185)(160, 188)(161, 189)(163, 191)(165, 193)(167, 196)(168,
197)(171, 200)(172, 201)(174, 204)(176, 207)(178, 209)(179, 203)(182, 202)(183,
213)(186, 217)(187, 218)(190, 222)(192, 225)(194, 226)(195, 228)(198, 220)(199,
229)(205, 219)(206, 234)(208, 230)(210, 236)(212, 237)(214, 223)(215, 221)(216,
240)(224, 244)(227, 243)(231, 241)(232, 248)(233, 235)(238, 246)(239, 245)(242,
252)(247, 251)(249, 250) (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)(15, 18)(17, 24)(20, 28)(21,
23)(22, 26)(25, 34)(27, 37)(29, 40)(30, 32)(31, 43)(33, 46)(35, 49)(36, 48)(38,
53)(39, 45)(41, 57)(42, 52)(44, 60)(47, 63)(50, 67)(51, 65)(54, 72)(55, 62)(56,
75)(58, 78)(59, 70)(61, 81)(66, 85)(68, 88)(71, 92)(73, 94)(74, 93)(76, 97)(77,
91)(79, 96)(80, 87)(82, 103)(83, 105)(86, 108)(89, 112)(95, 116)(98, 120)(99,
114)(100, 123)(101, 118)(102, 110)(104, 127)(106, 128)(107, 130)(109, 133)(111,
136)(113, 139)(115, 142)(117, 145)(119, 147)(121, 150)(122, 149)(124, 153)(125,
155)(126, 138)(129, 159)(131, 161)(132, 148)(134, 163)(135, 152)(137, 165)(140,
168)(141, 170)(143, 172)(144, 158)(146, 176)(151, 178)(154, 181)(156, 183)(157,
167)(160, 187)(162, 190)(164, 192)(166, 194)(169, 198)(171, 199)(173, 202)(174,
186)(175, 205)(177, 208)(179, 210)(180, 211)(182, 204)(184, 214)(185, 215)(188,
219)(189, 220)(191, 223)(193, 221)(195, 227)(196, 226)(197, 222)(200, 230)(201,
212)(203, 232)(206, 233)(207, 218)(209, 229)(213, 225)(216, 239)(217, 237)(224,
243)(228, 246)(231, 247)(235, 242)(236, 249)(238, 245)(240, 244)(241, 250)(248,
251)
c: (2, 4)(3, 6)(5, 9)(7, 12)(8, 14)(10, 17)(11, 19)(15, 22)(16, 24)(18, 26)(20,
29)(21, 30)(23, 32)(25, 35)(27, 38)(28, 40)(31, 44)(33, 47)(34, 49)(36, 51)(37,
53)(39, 55)(41, 58)(42, 59)(43, 60)(45, 62)(46, 63)(48, 65)(50, 68)(52, 70)(54,
73)(56, 76)(57, 78)(61, 82)(64, 84)(66, 86)(67, 88)(69, 90)(71, 92)(72, 94)(74,
93)(75, 97)(77, 99)(79, 101)(80, 102)(81, 103)(83, 106)(85, 108)(87, 110)(89,
104)(91, 114)(95, 117)(96, 118)(98, 121)(100, 124)(105, 128)(107, 131)(109,
134)(111, 137)(112, 127)(113, 140)(115, 143)(116, 145)(119, 148)(120, 150)(122,
152)(123, 153)(125, 156)(126, 157)(129, 160)(130, 161)(132, 147)(133, 163)(135,
149)(136, 165)(138, 167)(139, 168)(141, 171)(142, 172)(144, 174)(146, 169)(151,
179)(154, 182)(155, 183)(158, 186)(159, 187)(162, 188)(164, 184)(166, 195)(170,
199)(173, 203)(175, 206)(176, 198)(177, 209)(178, 210)(180, 212)(181, 204)(185,
216)(189, 221)(190, 219)(191, 224)(192, 214)(193, 220)(194, 227)(196, 222)(197,
226)(200, 231)(201, 211)(202, 232)(205, 233)(207, 235)(208, 229)(213, 238)(215,
239)(217, 241)(218, 242)(223, 243)(225, 245)(228, 236)(230, 247)(237, 250)(240,
251)(244, 248)(246, 249)
C4[ 252, 45 ]
252
-1 2 3 4 6
-2 1 5 7 10
-3 11 1 16 8
-4 1 12 17 9
-5 23 2 13 18
-6 1 24 14 19
-7 2 25 15 20
-8 13 3 15 21
-9 13 4 26 32
-10 33 2 27 21
-11 34 3 28 18
-12 22 35 4 29
-13 14 5 8 9
-14 22 13 6 30
-15 45 36 7 8
-16 23 46 3 37
-17 47 4 38 30
-18 11 48 5 39
-19 26 49 6 40
-20 50 7 41 31
-21 8 31 42 10
-22 12 14 51 62
-23 5 16 52 43
-24 6 63 53 32
-25 7 42 64 54
-26 55 19 9 65
-27 66 56 36 10
-28 11 67 57 43
-29 44 12 68 58
-30 44 14 59 17
-31 69 83 20 21
-32 24 70 60 9
-33 45 71 10 65
-34 11 72 52 64
-35 12 59 73 84
-36 15 27 63 74
-37 48 16 85 75
-38 17 51 86 76
-39 77 46 18 87
-40 88 78 60 19
-41 89 58 61 20
-42 79 25 61 21
-43 23 69 28 105
-44 90 29 106 30
-45 33 80 91 15
-46 92 16 39 51
-47 48 92 17 62
-48 47 37 93 18
-49 70 94 84 19
-50 79 95 107 20
-51 22 46 38 93
-52 23 34 81 96
-53 24 97 108 65
-54 25 69 98 109
-55 99 110 26 63
-56 100 111 80 27
-57 78 112 81 28
-58 82 104 29 41
-59 35 101 82 30
-60 90 40 128 32
-61 113 41 129 42
-62 22 47 102 114
-63 55 24 36 71
-64 34 25 83 105
-65 33 26 74 53
-66 91 27 115 107
-67 28 116 96 130
-68 101 29 117 131
-69 72 31 43 54
-70 103 49 118 32
-71 33 132 63 119
-72 34 133 69 120
-73 121 35 90 134
-74 122 36 135 65
-75 123 37 136 87
-76 102 124 38 137
-77 100 39 138 85
-78 57 103 127 40
-79 101 104 50 42
-80 45 56 113 158
-81 57 159 139 52
-82 58 59 160 140
-83 125 31 64 141
-84 35 49 106 128
-85 77 37 130 142
-86 143 114 38 131
-87 144 39 139 75
-88 145 40 161 118
-89 101 146 41 162
-90 44 60 94 73
-91 66 45 123 126
-92 46 47 147 148
-93 48 149 51 152
-94 90 49 150 163
-95 113 50 151 164
-96 67 127 52 118
-97 110 165 53 153
-98 154 166 125 54
-99 55 167 124 108
-100 77 56 136 126
-101 89 68 79 59
-102 62 140 76 186
-103 187 78 168 70
-104 188 79 58 169
-105 155 170 64 43
-106 44 156 171 84
-107 66 158 50 129
-108 99 161 172 53
-109 162 173 141 54
-110 55 168 97 174
-111 56 123 189 175
-112 176 57 190 118
-113 80 115 61 95
-114 157 62 86 153
-115 66 177 113 191
-116 67 178 192 139
-117 68 179 140 184
-118 88 112 70 96
-119 135 180 71 193
-120 155 181 72 194
-121 156 182 73 195
-122 132 154 74 196
-123 111 91 138 75
-124 99 165 157 76
-125 169 83 217 98
-126 100 91 218 197
-127 198 78 96 219
-128 199 60 84 183
-129 200 61 107 184
-130 67 144 159 85
-131 68 160 86 186
-132 122 189 201 71
-133 190 202 170 72
-134 188 203 171 73
-135 204 74 119 197
-136 220 100 205 75
-137 221 206 76 153
-138 77 123 222 207
-139 81 116 87 142
-140 143 102 82 117
-141 180 83 185 109
-142 223 139 85 208
-143 209 224 140 86
-144 209 225 130 87
-145 88 210 168 214
-146 89 156 169 203
-147 221 211 92 152
-148 220 212 92 149
-149 93 148 181 226
-150 94 204 183 227
-151 202 95 184 228
-152 222 147 93 182
-153 167 114 137 97
-154 122 193 185 98
-155 198 105 237 120
-156 121 146 106 241
-157 242 124 114 226
-158 80 213 107 229
-159 81 214 130 230
-160 231 82 131 164
-161 88 187 108 174
-162 89 188 217 109
-163 199 232 94 219
-164 200 179 160 95
-165 233 124 193 97
-166 234 180 215 98
-167 99 235 196 153
-168 110 145 103 172
-169 146 125 104 173
-170 133 211 105 215
-171 134 212 106 216
-172 243 168 108 229
-173 178 244 169 109
-174 110 177 245 161
-175 111 223 236 197
-176 198 232 112 183
-177 243 213 115 174
-178 246 214 116 173
-179 232 236 117 164
-180 166 119 141 196
-181 221 149 215 120
-182 121 220 216 152
-183 176 128 150 250
-184 231 117 129 151
-185 154 194 141 252
-186 102 238 131 208
-187 103 192 247 161
-188 134 104 162 241
-189 132 111 204 218
-190 133 112 237 219
-191 115 248 205 229
-192 187 210 116 230
-193 154 165 235 119
-194 211 234 185 120
-195 121 212 234 239
-196 122 167 233 180
-197 135 201 126 175
-198 176 155 202 127
-199 201 128 239 163
-200 237 129 240 164
-201 132 199 227 197
-202 198 133 151 240
-203 210 134 146 248
-204 189 135 150 239
-205 222 136 191 249
-206 243 137 226 228
-207 220 213 138 248
-208 224 225 142 186
-209 143 144 223 238
-210 145 192 203 249
-211 147 170 226 194
-212 222 148 171 195
-213 177 158 249 207
-214 145 178 159 247
-215 166 170 181 252
-216 171 182 227 252
-217 125 246 162 230
-218 189 126 225 251
-219 190 127 250 163
-220 136 148 182 207
-221 242 147 137 181
-222 212 138 205 152
-223 209 251 142 175
-224 143 233 244 208
-225 144 236 218 208
-226 211 157 149 206
-227 201 234 150 216
-228 245 237 151 206
-229 245 158 191 172
-230 244 159 192 217
-231 160 184 250 251
-232 176 179 163 251
-233 165 224 246 196
-234 166 194 227 195
-235 167 244 193 238
-236 179 225 250 175
-237 155 200 190 228
-238 209 235 246 186
-239 199 204 195 252
-240 242 243 200 202
-241 188 156 247 249
-242 221 157 245 240
-243 177 172 206 240
-244 224 235 173 230
-245 242 228 174 229
-246 178 233 238 217
-247 187 214 248 241
-248 191 203 247 207
-249 210 213 205 241
-250 231 236 183 219
-251 231 232 223 218
-252 215 216 239 185
0