Graph forms
for C4 [ 252, 43 ] = L(F168F)
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On this page are computer-accessible forms for the graph C4[ 252, 43 ] =
L(F168F).
(I) Following is a form readable by MAGMA:
g:=Graph<252|{ {2, 3}, {250, 251}, {248, 249}, {244, 245}, {242, 243}, {238,
239}, {236, 237}, {234, 235}, {232, 233}, {230, 231}, {228, 229}, {226, 227},
{224, 225}, {222, 223}, {218, 219}, {216, 217}, {214, 215}, {212, 213}, {208,
209}, {206, 207}, {204, 205}, {202, 203}, {194, 195}, {192, 193}, {190, 191},
{186, 187}, {184, 185}, {182, 183}, {180, 181}, {178, 179}, {176, 177}, {174,
175}, {172, 173}, {170, 171}, {166, 167}, {164, 165}, {162, 163}, {160, 161},
{4, 5}, {94, 95}, {104, 105}, {118, 119}, {120, 121}, {122, 123}, {124, 125},
{126, 127}, {128, 129}, {130, 131}, {132, 133}, {134, 135}, {136, 137}, {150,
151}, {1, 3}, {244, 246}, {241, 243}, {221, 223}, {208, 210}, {201, 203}, {104,
106}, {117, 119}, {136, 138}, {149, 151}, {1, 2}, {245, 246}, {241, 242}, {221,
222}, {209, 210}, {201, 202}, {197, 198}, {157, 158}, {153, 154}, {97, 98},
{101, 102}, {105, 106}, {109, 110}, {113, 114}, {117, 118}, {137, 138}, {141,
142}, {145, 146}, {149, 150}, {1, 5}, {25, 29}, {24, 28}, {17, 21}, {16, 20},
{3, 7}, {2, 6}, {1, 4}, {10, 12}, {250, 252}, {218, 220}, {211, 213}, {194,
196}, {11, 13}, {99, 100}, {251, 252}, {219, 220}, {211, 212}, {195, 196}, {155,
156}, {107, 108}, {115, 116}, {139, 140}, {147, 148}, {4, 12}, {227, 235}, {53,
61}, {52, 60}, {51, 59}, {50, 58}, {49, 57}, {48, 56}, {37, 45}, {36, 44}, {35,
43}, {34, 42}, {33, 41}, {32, 40}, {7, 15}, {6, 14}, {5, 13}, {225, 232}, {2,
8}, {3, 9}, {22, 26}, {23, 27}, {4, 10}, {247, 249}, {225, 239}, {163, 173}, {7,
9}, {6, 8}, {5, 11}, {144, 158}, {199, 200}, {247, 248}, {224, 239}, {10, 26},
{236, 252}, {233, 249}, {77, 93}, {76, 92}, {75, 91}, {74, 90}, {73, 89}, {72,
88}, {71, 87}, {70, 86}, {69, 85}, {68, 84}, {67, 83}, {66, 82}, {65, 81}, {64,
80}, {15, 31}, {14, 30}, {13, 29}, {12, 28}, {11, 27}, {232, 249}, {237, 252},
{98, 112}, {164, 182}, {6, 18}, {13, 25}, {12, 24}, {7, 19}, {229, 243}, {230,
240}, {228, 243}, {231, 240}, {8, 16}, {192, 216}, {71, 95}, {47, 55}, {46, 54},
{9, 17}, {226, 248}, {227, 248}, {8, 20}, {234, 246}, {15, 19}, {14, 18}, {11,
23}, {10, 22}, {9, 21}, {161, 188}, {235, 246}, {238, 240}, {111, 112}, {239,
240}, {143, 144}, {22, 54}, {198, 230}, {31, 63}, {30, 62}, {29, 61}, {28, 60},
{27, 59}, {26, 58}, {25, 57}, {24, 56}, {23, 55}, {217, 251}, {216, 251}, {214,
242}, {156, 185}, {215, 242}, {152, 191}, {14, 38}, {76, 100}, {68, 108}, {29,
53}, {28, 52}, {27, 51}, {26, 50}, {25, 49}, {24, 48}, {15, 39}, {88, 112}, {93,
119}, {135, 172}, {75, 102}, {200, 229}, {192, 238}, {193, 238}, {16, 32}, {21,
37}, {20, 36}, {19, 35}, {18, 34}, {17, 33}, {82, 96}, {199, 244}, {77, 121},
{197, 241}, {131, 183}, {146, 166}, {74, 127}, {154, 175}, {92, 106}, {133,
179}, {198, 241}, {16, 40}, {207, 247}, {205, 245}, {31, 39}, {30, 38}, {23,
47}, {22, 46}, {21, 45}, {20, 44}, {19, 43}, {18, 42}, {17, 41}, {86, 110},
{150, 174}, {204, 245}, {206, 247}, {65, 123}, {88, 98}, {129, 186}, {138, 177},
{85, 105}, {200, 244}, {64, 125}, {73, 116}, {72, 118}, {159, 161}, {94, 96},
{95, 96}, {159, 160}, {148, 171}, {151, 168}, {60, 124}, {164, 228}, {59, 122},
{169, 232}, {165, 228}, {58, 120}, {155, 217}, {61, 126}, {173, 233}, {190,
250}, {174, 234}, {156, 217}, {191, 250}, {175, 234}, {172, 233}, {55, 113},
{169, 225}, {158, 215}, {133, 207}, {157, 215}, {56, 115}, {132, 207}, {57,
117}, {62, 114}, {128, 204}, {146, 222}, {129, 204}, {153, 212}, {47, 97}, {168,
230}, {162, 236}, {154, 212}, {145, 222}, {163, 236}, {30, 78}, {31, 79}, {181,
231}, {48, 99}, {180, 231}, {49, 101}, {50, 103}, {152, 205}, {189, 235}, {53,
109}, {131, 219}, {54, 111}, {188, 229}, {130, 219}, {147, 202}, {135, 221},
{183, 237}, {139, 209}, {51, 104}, {182, 237}, {134, 221}, {140, 209}, {148,
202}, {189, 227}, {52, 107}, {32, 64}, {45, 77}, {44, 76}, {43, 75}, {42, 74},
{41, 73}, {40, 72}, {39, 71}, {38, 70}, {37, 69}, {36, 68}, {35, 67}, {34, 66},
{33, 65}, {176, 210}, {177, 210}, {179, 213}, {186, 220}, {185, 223}, {178,
213}, {187, 220}, {184, 223}, {167, 203}, {141, 224}, {166, 203}, {143, 226},
{142, 224}, {170, 196}, {168, 198}, {171, 196}, {32, 80}, {63, 79}, {62, 78},
{46, 94}, {45, 93}, {44, 92}, {43, 91}, {42, 90}, {41, 89}, {40, 88}, {39, 87},
{38, 86}, {37, 85}, {36, 84}, {35, 83}, {34, 82}, {33, 81}, {144, 226}, {191,
205}, {188, 200}, {63, 174}, {59, 155}, {57, 152}, {60, 157}, {61, 159}, {58,
153}, {115, 208}, {55, 147}, {116, 208}, {54, 145}, {103, 192}, {63, 150}, {111,
197}, {98, 206}, {110, 194}, {122, 214}, {47, 130}, {56, 149}, {123, 214}, {46,
128}, {97, 206}, {109, 194}, {107, 218}, {48, 132}, {125, 201}, {102, 211},
{112, 197}, {114, 199}, {124, 201}, {101, 211}, {108, 218}, {113, 199}, {49,
134}, {62, 137}, {51, 139}, {52, 141}, {50, 136}, {53, 143}, {121, 195}, {120,
195}, {127, 193}, {103, 216}, {126, 193}, {87, 148}, {118, 176}, {78, 135},
{123, 178}, {80, 154}, {100, 170}, {81, 129}, {70, 151}, {102, 180}, {67, 144},
{79, 156}, {93, 142}, {105, 189}, {108, 184}, {116, 160}, {110, 187}, {69, 146},
{91, 131}, {127, 167}, {83, 138}, {100, 190}, {121, 165}, {67, 158}, {99, 190},
{82, 140}, {94, 128}, {90, 133}, {106, 181}, {125, 162}, {120, 153}, {122, 155},
{124, 157}, {126, 159}, {64, 162}, {78, 172}, {83, 177}, {109, 143}, {113, 147},
{69, 166}, {97, 130}, {101, 134}, {104, 139}, {66, 164}, {76, 170}, {107, 141},
{115, 149}, {99, 132}, {77, 165}, {84, 188}, {85, 189}, {73, 160}, {90, 179},
{92, 181}, {81, 186}, {91, 183}, {96, 140}, {74, 167}, {86, 187}, {117, 152},
{70, 168}, {71, 169}, {103, 136}, {65, 178}, {66, 182}, {89, 173}, {84, 161},
{79, 185}, {95, 169}, {72, 176}, {119, 142}, {89, 163}, {114, 137}, {68, 184},
{87, 171}, {111, 145}, {75, 180}, {80, 175} }>;
(II) A more general form is to represent the graph as the orbit of {2, 3}
under the group generated by the following permutations:
a: (2, 5)(3, 4)(6, 13)(7, 12)(8, 11)(9, 10)(14, 29)(15, 28)(16, 27)(17, 26)(18,
25)(19, 24)(20, 23)(21, 22)(30, 61)(31, 60)(32, 59)(33, 58)(34, 57)(35, 56)(36,
55)(37, 54)(38, 53)(39, 52)(40, 51)(41, 50)(42, 49)(43, 48)(44, 47)(45, 46)(62,
159)(63, 157)(64, 155)(65, 153)(66, 152)(67, 149)(68, 147)(69, 145)(70, 143)(71,
141)(72, 139)(73, 136)(74, 134)(75, 132)(76, 130)(77, 128)(78, 126)(79, 124)(80,
122)(81, 120)(82, 117)(83, 115)(84, 113)(85, 111)(86, 109)(87, 107)(88, 104)(89,
103)(90, 101)(91, 99)(92, 97)(93, 94)(95, 142)(96, 119)(98, 106)(100, 131)(102,
133)(105, 112)(108, 148)(114, 161)(116, 138)(118, 140)(121, 129)(123, 154)(125,
156)(127, 135)(137, 160)(144, 151)(150, 158)(162, 217)(163, 216)(164, 205)(165,
204)(166, 222)(167, 221)(168, 226)(169, 224)(170, 219)(171, 218)(172, 193)(173,
192)(174, 215)(175, 214)(176, 209)(177, 208)(178, 212)(179, 211)(180, 207)(181,
206)(182, 191)(183, 190)(184, 202)(185, 201)(186, 195)(187, 194)(188, 199)(189,
197)(196, 220)(198, 227)(203, 223)(228, 245)(229, 244)(230, 248)(231, 247)(232,
239)(233, 238)(234, 242)(235, 241)(236, 251)(237, 250)(240, 249)(243, 246) (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, 6, 7)(5, 8, 9)(10, 14, 15)(11, 16, 17)(12, 18, 19)(13, 20,
21)(22, 30, 31)(23, 32, 33)(24, 34, 35)(25, 36, 37)(26, 38, 39)(27, 40, 41)(28,
42, 43)(29, 44, 45)(46, 62, 63)(47, 64, 65)(48, 66, 67)(49, 68, 69)(50, 70,
71)(51, 72, 73)(52, 74, 75)(53, 76, 77)(54, 78, 79)(55, 80, 81)(56, 82, 83)(57,
84, 85)(58, 86, 87)(59, 88, 89)(60, 90, 91)(61, 92, 93)(94, 137, 150)(95, 136,
151)(96, 138, 149)(97, 162, 123)(98, 163, 122)(99, 164, 144)(100, 165, 143)(101,
108, 166)(102, 107, 167)(103, 168, 169)(104, 118, 160)(105, 117, 161)(106, 119,
159)(109, 170, 121)(110, 171, 120)(111, 172, 156)(112, 173, 155)(113, 175,
129)(114, 174, 128)(115, 140, 177)(116, 139, 176)(124, 179, 131)(125, 178,
130)(126, 181, 142)(127, 180, 141)(132, 182, 158)(133, 183, 157)(134, 184,
146)(135, 185, 145)(147, 154, 186)(148, 153, 187)(152, 188, 189)(190, 228,
226)(191, 229, 227)(192, 230, 225)(193, 231, 224)(194, 196, 195)(197, 233,
217)(198, 232, 216)(199, 234, 204)(200, 235, 205)(201, 213, 219)(202, 212,
220)(203, 211, 218)(206, 236, 214)(207, 237, 215)(208, 209, 210)(221, 223,
222)(238, 240, 239)(241, 249, 251)(242, 247, 252)(243, 248, 250)(244, 246,
245)
c: (2, 4)(3, 5)(6, 10)(7, 11)(8, 12)(9, 13)(14, 22)(15, 23)(16, 24)(17, 25)(18,
26)(19, 27)(20, 28)(21, 29)(30, 46)(31, 47)(32, 48)(33, 49)(34, 50)(35, 51)(36,
52)(37, 53)(38, 54)(39, 55)(40, 56)(41, 57)(42, 58)(43, 59)(44, 60)(45, 61)(62,
94)(63, 97)(64, 99)(65, 101)(66, 103)(67, 104)(68, 107)(69, 109)(70, 111)(71,
113)(72, 115)(73, 117)(74, 120)(75, 122)(76, 124)(77, 126)(78, 128)(79, 130)(80,
132)(81, 134)(82, 136)(83, 139)(84, 141)(85, 143)(86, 145)(87, 147)(88, 149)(89,
152)(90, 153)(91, 155)(92, 157)(93, 159)(95, 114)(96, 137)(98, 150)(100,
125)(102, 123)(105, 144)(106, 158)(110, 146)(112, 151)(116, 118)(119, 160)(121,
127)(129, 135)(131, 156)(133, 154)(138, 140)(142, 161)(162, 190)(163, 191)(164,
192)(165, 193)(166, 194)(167, 195)(168, 197)(169, 199)(170, 201)(171, 202)(172,
204)(173, 205)(174, 206)(175, 207)(176, 208)(177, 209)(178, 211)(179, 212)(180,
214)(181, 215)(182, 216)(183, 217)(184, 218)(185, 219)(186, 221)(187, 222)(188,
224)(189, 226)(196, 203)(200, 225)(220, 223)(228, 238)(229, 239)(230, 241)(231,
242)(232, 244)(233, 245)(234, 247)(235, 248)(236, 250)(237, 251)(240, 243)(246,
249)
C4[ 252, 43 ]
252
-1 2 3 4 5
-2 1 3 6 8
-3 1 2 7 9
-4 1 12 5 10
-5 11 1 13 4
-6 2 14 18 8
-7 3 15 19 9
-8 2 16 6 20
-9 3 17 7 21
-10 22 12 4 26
-11 23 13 5 27
-12 24 4 28 10
-13 11 25 5 29
-14 38 6 18 30
-15 39 7 19 31
-16 40 8 20 32
-17 33 41 9 21
-18 34 14 6 42
-19 35 15 7 43
-20 44 36 16 8
-21 45 37 17 9
-22 46 26 10 54
-23 11 55 47 27
-24 12 56 48 28
-25 13 57 49 29
-26 22 58 50 10
-27 11 23 59 51
-28 12 24 60 52
-29 13 25 61 53
-30 78 14 38 62
-31 79 15 39 63
-32 80 16 40 64
-33 81 17 41 65
-34 66 82 18 42
-35 67 83 19 43
-36 44 68 84 20
-37 45 69 85 21
-38 14 70 30 86
-39 15 71 31 87
-40 88 16 72 32
-41 33 89 17 73
-42 34 90 18 74
-43 35 91 19 75
-44 36 92 20 76
-45 77 37 93 21
-46 22 94 128 54
-47 55 23 97 130
-48 99 132 56 24
-49 57 101 134 25
-50 58 26 103 136
-51 59 27 104 139
-52 60 28 107 141
-53 143 61 29 109
-54 22 111 46 145
-55 23 47 113 147
-56 24 48 115 149
-57 25 49 117 152
-58 26 50 120 153
-59 122 155 27 51
-60 124 157 28 52
-61 126 159 29 53
-62 78 114 137 30
-63 79 150 31 174
-64 80 125 162 32
-65 33 123 178 81
-66 34 82 182 164
-67 144 35 158 83
-68 36 84 184 108
-69 166 146 37 85
-70 168 38 151 86
-71 169 39 95 87
-72 88 176 40 118
-73 89 116 160 41
-74 90 167 127 42
-75 91 102 180 43
-76 44 100 92 170
-77 121 165 45 93
-78 135 62 172 30
-79 156 63 31 185
-80 154 64 32 175
-81 33 129 65 186
-82 66 34 96 140
-83 67 177 35 138
-84 188 68 36 161
-85 189 69 37 105
-86 110 187 70 38
-87 71 148 39 171
-88 112 72 40 98
-89 73 41 173 163
-90 133 179 74 42
-91 183 75 43 131
-92 44 181 106 76
-93 77 45 119 142
-94 46 95 128 96
-95 169 71 94 96
-96 82 94 95 140
-97 47 206 130 98
-98 88 112 206 97
-99 132 100 190 48
-100 99 190 170 76
-101 134 211 102 49
-102 101 211 180 75
-103 136 192 50 216
-104 105 51 106 139
-105 189 104 106 85
-106 92 104 181 105
-107 52 108 141 218
-108 68 107 184 218
-109 110 143 194 53
-110 187 194 86 109
-111 112 145 54 197
-112 88 111 98 197
-113 55 199 114 147
-114 199 113 137 62
-115 56 116 149 208
-116 115 160 73 208
-117 57 118 119 152
-118 176 72 117 119
-119 93 117 118 142
-120 121 58 195 153
-121 77 165 195 120
-122 155 123 59 214
-123 122 178 214 65
-124 157 201 125 60
-125 124 201 162 64
-126 159 61 127 193
-127 167 126 193 74
-128 46 94 204 129
-129 81 204 128 186
-130 47 97 131 219
-131 91 183 130 219
-132 99 133 48 207
-133 132 90 179 207
-134 221 101 135 49
-135 78 221 134 172
-136 103 137 50 138
-137 114 136 138 62
-138 177 136 137 83
-139 209 104 51 140
-140 209 82 139 96
-141 224 52 107 142
-142 224 93 119 141
-143 144 226 53 109
-144 143 67 158 226
-145 111 222 146 54
-146 166 145 222 69
-147 55 113 202 148
-148 147 202 171 87
-149 56 115 150 151
-150 149 63 151 174
-151 168 70 149 150
-152 57 191 117 205
-153 154 58 212 120
-154 80 212 153 175
-155 122 156 59 217
-156 155 79 217 185
-157 124 158 60 215
-158 67 144 157 215
-159 126 61 160 161
-160 159 116 73 161
-161 188 159 160 84
-162 125 236 64 163
-163 89 236 162 173
-164 66 165 182 228
-165 77 121 228 164
-166 167 69 146 203
-167 166 203 127 74
-168 198 70 151 230
-169 232 71 225 95
-170 100 171 196 76
-171 148 170 196 87
-172 78 233 135 173
-173 89 233 172 163
-174 234 150 63 175
-175 154 80 234 174
-176 177 210 72 118
-177 176 210 83 138
-178 123 179 213 65
-179 133 90 178 213
-180 231 102 181 75
-181 231 92 180 106
-182 66 237 183 164
-183 91 182 237 131
-184 68 223 108 185
-185 79 156 223 184
-186 187 220 81 129
-187 110 220 86 186
-188 200 84 161 229
-189 235 105 227 85
-190 99 100 191 250
-191 190 205 250 152
-192 103 193 216 238
-193 126 192 127 238
-194 110 195 196 109
-195 121 194 196 120
-196 170 171 194 195
-197 198 111 112 241
-198 168 197 230 241
-199 200 244 113 114
-200 188 199 244 229
-201 124 125 202 203
-202 201 147 148 203
-203 166 167 201 202
-204 245 128 205 129
-205 245 191 204 152
-206 247 97 207 98
-207 132 133 247 206
-208 209 210 115 116
-209 210 139 140 208
-210 176 209 177 208
-211 101 102 212 213
-212 154 211 213 153
-213 178 211 179 212
-214 242 122 123 215
-215 242 157 158 214
-216 103 192 217 251
-217 155 156 216 251
-218 220 107 108 219
-219 220 130 218 131
-220 187 218 186 219
-221 134 222 135 223
-222 221 145 146 223
-223 221 222 184 185
-224 225 239 141 142
-225 232 169 224 239
-226 143 144 248 227
-227 189 235 226 248
-228 165 243 229 164
-229 188 243 200 228
-230 198 231 168 240
-231 180 181 240 230
-232 233 169 225 249
-233 232 172 249 173
-234 235 246 174 175
-235 189 234 246 227
-236 237 162 163 252
-237 236 182 183 252
-238 192 193 239 240
-239 224 225 238 240
-240 231 238 239 230
-241 198 242 243 197
-242 243 214 215 241
-243 242 228 229 241
-244 199 200 245 246
-245 244 246 204 205
-246 244 234 245 235
-247 248 249 206 207
-248 247 226 227 249
-249 232 233 247 248
-250 190 191 251 252
-251 216 217 250 252
-252 236 237 250 251
0