Graph forms
for C4 [ 273, 11 ] = L(F182C)
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On this page are computer-accessible forms for the graph C4[ 273, 11 ] =
L(F182C).
(I) Following is a form readable by MAGMA:
g:=Graph<273|{ {2, 3}, {272, 273}, {268, 269}, {266, 267}, {262, 263}, {260,
261}, {256, 257}, {254, 255}, {250, 251}, {248, 249}, {244, 245}, {242, 243},
{238, 239}, {236, 237}, {234, 235}, {232, 233}, {230, 231}, {228, 229}, {226,
227}, {222, 223}, {220, 221}, {216, 217}, {214, 215}, {212, 213}, {208, 209},
{206, 207}, {202, 203}, {200, 201}, {198, 199}, {196, 197}, {192, 193}, {190,
191}, {98, 99}, {96, 97}, {82, 83}, {80, 81}, {78, 79}, {76, 77}, {74, 75}, {56,
57}, {54, 55}, {44, 45}, {42, 43}, {30, 31}, {14, 15}, {4, 5}, {100, 101}, {102,
103}, {150, 151}, {156, 157}, {166, 167}, {168, 169}, {170, 171}, {172, 173},
{174, 175}, {176, 177}, {1, 3}, {268, 270}, {265, 267}, {256, 258}, {253, 255},
{244, 246}, {241, 243}, {225, 227}, {216, 218}, {205, 207}, {13, 15}, {165,
167}, {1, 2}, {269, 270}, {265, 266}, {257, 258}, {253, 254}, {245, 246}, {241,
242}, {225, 226}, {217, 218}, {205, 206}, {185, 186}, {21, 22}, {125, 126},
{133, 134}, {137, 138}, {165, 166}, {181, 182}, {1, 5}, {209, 213}, {26, 30},
{25, 29}, {24, 28}, {17, 21}, {16, 20}, {3, 7}, {2, 6}, {1, 4}, {208, 213}, {18,
23}, {10, 12}, {259, 261}, {250, 252}, {219, 221}, {211, 213}, {202, 204}, {48,
54}, {25, 31}, {16, 22}, {11, 13}, {131, 132}, {259, 260}, {251, 252}, {219,
220}, {211, 212}, {203, 204}, {187, 188}, {139, 140}, {163, 164}, {179, 180},
{4, 12}, {194, 202}, {193, 201}, {34, 42}, {33, 41}, {32, 40}, {6, 14}, {5, 13},
{180, 188}, {49, 56}, {262, 271}, {2, 8}, {85, 95}, {84, 94}, {3, 9}, {32, 43},
{224, 235}, {33, 45}, {4, 10}, {262, 264}, {247, 249}, {64, 78}, {7, 9}, {6, 8},
{5, 11}, {23, 24}, {263, 264}, {259, 268}, {247, 248}, {183, 184}, {82, 93},
{35, 44}, {135, 136}, {179, 188}, {65, 80}, {142, 159}, {10, 24}, {12, 30}, {11,
25}, {7, 20}, {15, 27}, {6, 19}, {104, 125}, {139, 158}, {10, 28}, {47, 57},
{13, 27}, {12, 26}, {11, 29}, {103, 113}, {105, 127}, {7, 16}, {34, 58}, {194,
218}, {39, 63}, {38, 62}, {37, 61}, {36, 60}, {35, 59}, {136, 144}, {8, 17},
{46, 55}, {140, 149}, {46, 52}, {236, 246}, {199, 221}, {73, 83}, {47, 53},
{102, 124}, {9, 18}, {237, 246}, {198, 221}, {8, 21}, {14, 19}, {167, 186},
{171, 182}, {9, 23}, {271, 273}, {238, 240}, {101, 123}, {111, 112}, {271, 272},
{239, 240}, {143, 144}, {160, 191}, {134, 166}, {159, 191}, {83, 114}, {150,
180}, {223, 253}, {133, 166}, {195, 224}, {151, 180}, {29, 56}, {80, 118}, {197,
227}, {143, 169}, {81, 118}, {196, 227}, {145, 182}, {14, 38}, {195, 235}, {71,
111}, {70, 110}, {69, 109}, {68, 108}, {67, 107}, {66, 106}, {65, 105}, {64,
104}, {15, 38}, {87, 126}, {141, 164}, {142, 167}, {152, 177}, {25, 51}, {28,
54}, {81, 122}, {28, 48}, {201, 229}, {31, 51}, {30, 50}, {29, 49}, {129, 173},
{31, 50}, {210, 255}, {200, 229}, {130, 175}, {26, 52}, {215, 249}, {94, 112},
{27, 53}, {143, 161}, {72, 103}, {214, 249}, {128, 176}, {196, 244}, {17, 32},
{22, 39}, {21, 36}, {19, 34}, {146, 163}, {22, 36}, {195, 241}, {23, 37}, {18,
33}, {145, 162}, {26, 46}, {27, 47}, {142, 186}, {148, 160}, {77, 120}, {206,
251}, {87, 98}, {84, 97}, {79, 121}, {86, 96}, {85, 99}, {147, 165}, {16, 39},
{20, 35}, {20, 44}, {76, 116}, {75, 115}, {17, 40}, {199, 254}, {77, 116}, {74,
115}, {72, 113}, {19, 42}, {144, 169}, {79, 117}, {145, 171}, {18, 41}, {78,
117}, {73, 114}, {75, 119}, {88, 100}, {148, 168}, {24, 37}, {64, 125}, {138,
183}, {65, 127}, {222, 224}, {217, 231}, {159, 160}, {223, 224}, {207, 240},
{188, 252}, {185, 248}, {178, 240}, {186, 248}, {59, 120}, {63, 124}, {183,
243}, {60, 121}, {62, 123}, {136, 205}, {169, 239}, {61, 122}, {187, 252}, {129,
198}, {168, 239}, {131, 203}, {160, 233}, {130, 200}, {135, 205}, {184, 243},
{149, 217}, {58, 119}, {146, 223}, {132, 203}, {147, 220}, {152, 215}, {134,
214}, {190, 238}, {53, 100}, {189, 236}, {187, 234}, {185, 232}, {163, 242},
{51, 96}, {181, 225}, {155, 206}, {52, 98}, {164, 242}, {132, 211}, {151, 192},
{158, 201}, {63, 102}, {137, 208}, {138, 208}, {62, 101}, {141, 209}, {184,
228}, {177, 237}, {176, 237}, {158, 193}, {189, 226}, {161, 254}, {155, 251},
{48, 82}, {56, 90}, {52, 87}, {57, 90}, {32, 68}, {35, 71}, {34, 70}, {33, 69},
{49, 84}, {57, 92}, {51, 86}, {40, 78}, {161, 199}, {177, 215}, {50, 85}, {162,
197}, {175, 200}, {40, 64}, {45, 69}, {42, 66}, {41, 65}, {157, 245}, {43, 66},
{156, 245}, {39, 76}, {173, 198}, {36, 72}, {61, 81}, {55, 91}, {38, 74}, {37,
73}, {48, 93}, {53, 88}, {50, 95}, {179, 222}, {45, 67}, {55, 89}, {43, 68},
{54, 89}, {49, 94}, {44, 67}, {146, 253}, {58, 75}, {149, 231}, {47, 92}, {63,
76}, {60, 79}, {60, 72}, {62, 74}, {61, 73}, {172, 216}, {46, 91}, {164, 209},
{174, 219}, {59, 77}, {41, 80}, {181, 204}, {128, 250}, {182, 204}, {157, 230},
{58, 70}, {59, 71}, {148, 233}, {178, 207}, {170, 212}, {171, 212}, {127, 250},
{124, 244}, {126, 247}, {123, 241}, {125, 247}, {116, 230}, {114, 225}, {120,
238}, {115, 228}, {119, 236}, {118, 234}, {117, 232}, {113, 222}, {122, 202},
{102, 210}, {108, 216}, {103, 210}, {109, 219}, {122, 194}, {123, 195}, {124,
196}, {121, 192}, {104, 211}, {105, 214}, {69, 133}, {108, 172}, {67, 130}, {70,
135}, {112, 178}, {113, 179}, {66, 129}, {109, 174}, {120, 190}, {68, 131}, {88,
159}, {114, 181}, {82, 154}, {86, 158}, {83, 154}, {93, 148}, {91, 146}, {85,
156}, {95, 149}, {119, 189}, {90, 145}, {115, 184}, {117, 185}, {118, 187}, {71,
137}, {84, 155}, {92, 147}, {95, 140}, {88, 142}, {89, 143}, {87, 141}, {112,
170}, {107, 183}, {86, 139}, {111, 178}, {110, 176}, {107, 138}, {106, 136},
{111, 137}, {109, 133}, {107, 130}, {110, 135}, {116, 157}, {106, 129}, {104,
132}, {110, 128}, {121, 151}, {105, 134}, {108, 131}, {126, 141}, {94, 170},
{93, 168}, {96, 150}, {97, 150}, {89, 161}, {91, 163}, {90, 162}, {92, 165},
{97, 155}, {98, 152}, {106, 144}, {99, 152}, {101, 153}, {100, 153}, {99, 156},
{127, 128}, {139, 265}, {140, 265}, {147, 256}, {153, 268}, {154, 271}, {153,
259}, {154, 262}, {162, 257}, {175, 267}, {174, 267}, {172, 266}, {173, 266},
{189, 263}, {190, 260}, {191, 260}, {197, 257}, {194, 269}, {192, 272}, {210,
258}, {193, 272}, {218, 269}, {220, 256}, {231, 261}, {230, 261}, {234, 270},
{226, 263}, {235, 270}, {228, 264}, {229, 264}, {233, 273}, {232, 273}, {255,
258} }>;
(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: (1, 2)(4, 8)(5, 6)(7, 9)(10, 21)(11, 19)(12, 17)(13, 14)(16, 23)(18, 20)(22,
24)(25, 42)(26, 40)(27, 38)(28, 36)(29, 34)(30, 32)(31, 43)(33, 44)(35, 41)(37,
39)(46, 78)(47, 74)(48, 72)(49, 70)(50, 68)(51, 66)(52, 64)(53, 62)(54, 60)(55,
79)(56, 58)(57, 75)(59, 80)(61, 76)(63, 73)(65, 71)(67, 69)(77, 81)(82, 103)(83,
102)(84, 135)(85, 131)(86, 129)(87, 125)(88, 123)(89, 121)(90, 119)(91, 117)(92,
115)(93, 113)(94, 110)(95, 108)(96, 106)(97, 136)(98, 104)(99, 132)(100,
101)(105, 137)(107, 133)(109, 130)(111, 127)(112, 128)(114, 124)(116, 122)(118,
120)(134, 138)(139, 173)(140, 172)(141, 247)(142, 241)(143, 151)(144, 150)(145,
236)(146, 232)(147, 228)(148, 222)(149, 216)(152, 211)(154, 210)(155, 205)(156,
203)(157, 202)(158, 198)(159, 195)(160, 224)(161, 192)(162, 189)(163, 185)(164,
248)(165, 184)(166, 183)(167, 243)(168, 179)(169, 180)(170, 176)(171, 237)(174,
175)(177, 212)(178, 250)(181, 244)(182, 246)(186, 242)(187, 238)(188, 239)(190,
234)(191, 235)(193, 199)(194, 230)(196, 225)(197, 226)(200, 219)(201, 221)(204,
245)(207, 251)(208, 214)(209, 249)(213, 215)(218, 231)(220, 229)(223, 233)(240,
252)(253, 273)(254, 272)(255, 271)(256, 264)(257, 263)(258, 262)(259, 268)(260,
270)(261, 269)(265, 266) (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, 5)(6, 9)(7, 8)(10, 13)(11, 12)(14, 23)(15, 24)(16, 21)(17, 20)(18,
19)(25, 30)(26, 29)(27, 28)(32, 44)(33, 42)(34, 41)(35, 40)(36, 39)(37, 38)(43,
45)(46, 56)(47, 54)(48, 53)(49, 52)(50, 51)(55, 57)(58, 80)(59, 78)(60, 76)(61,
74)(62, 73)(63, 72)(64, 71)(65, 70)(66, 69)(67, 68)(75, 81)(77, 79)(82, 100)(83,
101)(84, 98)(85, 96)(86, 95)(87, 94)(88, 93)(89, 92)(90, 91)(97, 99)(102,
103)(104, 137)(105, 135)(106, 133)(107, 131)(108, 130)(109, 129)(110, 127)(111,
125)(112, 126)(113, 124)(114, 123)(115, 122)(116, 121)(117, 120)(118, 119)(132,
138)(134, 136)(139, 140)(141, 170)(142, 168)(143, 165)(144, 166)(145, 163)(146,
162)(147, 161)(148, 159)(149, 158)(150, 156)(151, 157)(152, 155)(153, 154)(164,
171)(167, 169)(172, 175)(173, 174)(176, 250)(177, 251)(178, 247)(179, 244)(180,
245)(181, 241)(182, 242)(183, 203)(184, 202)(185, 238)(186, 239)(187, 236)(188,
246)(189, 234)(190, 232)(191, 233)(192, 230)(193, 231)(194, 228)(195, 225)(196,
222)(197, 223)(198, 219)(199, 220)(200, 216)(201, 217)(204, 243)(205, 214)(206,
215)(207, 249)(208, 211)(209, 212)(218, 229)(224, 227)(226, 235)(237, 252)(240,
248)(253, 257)(254, 256)(255, 258)(259, 271)(260, 273)(261, 272)(262, 268)(263,
270)(264, 269)(266, 267)
c: (2, 5)(3, 4)(6, 13)(7, 12)(8, 11)(9, 10)(14, 15)(16, 30)(17, 29)(18, 28)(19,
27)(20, 26)(21, 25)(22, 31)(23, 24)(32, 56)(33, 54)(34, 53)(35, 52)(36, 51)(39,
50)(40, 49)(41, 48)(42, 47)(43, 57)(44, 46)(45, 55)(58, 100)(59, 98)(60, 96)(61,
73)(62, 74)(63, 95)(64, 94)(65, 93)(66, 92)(67, 91)(68, 90)(69, 89)(70, 88)(71,
87)(72, 86)(75, 101)(76, 85)(77, 99)(78, 84)(79, 97)(80, 82)(81, 83)(102,
140)(103, 139)(104, 170)(105, 168)(106, 165)(107, 163)(108, 162)(109, 161)(110,
159)(111, 126)(112, 125)(113, 158)(114, 122)(115, 123)(116, 156)(117, 155)(118,
154)(119, 153)(120, 152)(121, 150)(124, 149)(127, 148)(128, 160)(129, 147)(130,
146)(131, 145)(132, 171)(133, 143)(134, 169)(135, 142)(136, 167)(137, 141)(138,
164)(144, 166)(172, 257)(173, 256)(174, 254)(175, 253)(176, 191)(177, 190)(178,
247)(179, 193)(180, 192)(181, 202)(182, 203)(183, 242)(184, 241)(185, 206)(186,
205)(187, 271)(188, 272)(189, 268)(194, 225)(195, 228)(196, 217)(197, 216)(198,
220)(199, 219)(200, 223)(201, 222)(207, 248)(208, 209)(210, 265)(211, 212)(214,
239)(215, 238)(218, 227)(224, 229)(226, 269)(230, 245)(231, 244)(232, 251)(233,
250)(234, 262)(235, 264)(236, 259)(237, 260)(240, 249)(246, 261)(252, 273)(255,
267)(258, 266)(263, 270)
C4[ 273, 11 ]
273
-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 8 19
-7 3 16 9 20
-8 2 6 17 21
-9 23 3 7 18
-10 12 24 4 28
-11 13 25 5 29
-12 4 26 30 10
-13 11 15 5 27
-14 15 38 6 19
-15 13 14 27 38
-16 22 39 7 20
-17 40 8 21 32
-18 33 23 41 9
-19 34 14 6 42
-20 44 35 16 7
-21 22 36 17 8
-22 36 16 39 21
-23 24 37 18 9
-24 23 37 28 10
-25 11 29 51 31
-26 12 46 30 52
-27 13 47 15 53
-28 24 48 10 54
-29 11 56 25 49
-30 12 26 50 31
-31 25 50 51 30
-32 68 17 40 43
-33 45 69 18 41
-34 58 70 19 42
-35 44 59 71 20
-36 22 60 72 21
-37 23 24 61 73
-38 14 15 62 74
-39 22 16 63 76
-40 78 17 64 32
-41 33 80 18 65
-42 66 34 19 43
-43 66 68 42 32
-44 45 67 35 20
-45 33 44 67 69
-46 55 91 26 52
-47 57 92 27 53
-48 82 93 28 54
-49 56 94 29 84
-50 95 30 85 31
-51 25 96 31 86
-52 46 26 87 98
-53 88 100 47 27
-54 55 89 48 28
-55 89 46 91 54
-56 57 90 49 29
-57 56 90 47 92
-58 34 70 75 119
-59 77 35 71 120
-60 121 79 36 72
-61 122 37 81 73
-62 101 123 38 74
-63 102 124 39 76
-64 78 125 104 40
-65 80 105 127 41
-66 106 129 42 43
-67 44 45 107 130
-68 108 32 43 131
-69 33 45 133 109
-70 110 34 58 135
-71 111 35 59 137
-72 36 113 103 60
-73 37 114 61 83
-74 38 115 62 75
-75 58 115 74 119
-76 77 39 116 63
-77 59 116 76 120
-78 79 40 117 64
-79 121 78 60 117
-80 81 41 118 65
-81 122 80 61 118
-82 154 48 93 83
-83 154 114 82 73
-84 155 49 94 97
-85 99 156 50 95
-86 158 51 139 96
-87 126 52 141 98
-88 100 159 53 142
-89 55 143 161 54
-90 56 57 145 162
-91 55 46 146 163
-92 165 57 47 147
-93 168 48 82 148
-94 112 49 170 84
-95 50 149 85 140
-96 51 150 86 97
-97 155 84 150 96
-98 99 52 152 87
-99 156 85 152 98
-100 88 101 53 153
-101 100 123 62 153
-102 210 124 103 63
-103 210 102 113 72
-104 132 211 125 64
-105 134 214 127 65
-106 66 144 136 129
-107 67 138 183 130
-108 68 172 216 131
-109 133 69 174 219
-110 176 135 70 128
-111 112 178 71 137
-112 111 178 170 94
-113 222 179 103 72
-114 181 225 83 73
-115 74 184 228 75
-116 77 157 76 230
-117 78 232 79 185
-118 187 80 234 81
-119 189 58 236 75
-120 77 190 59 238
-121 79 60 192 151
-122 81 202 61 194
-123 101 62 195 241
-124 244 102 63 196
-125 104 126 247 64
-126 125 247 141 87
-127 105 128 250 65
-128 110 176 127 250
-129 66 198 106 173
-130 67 200 107 175
-131 132 68 203 108
-132 211 104 203 131
-133 166 134 69 109
-134 133 166 214 105
-135 110 70 136 205
-136 144 135 106 205
-137 111 71 138 208
-138 137 183 107 208
-139 265 158 140 86
-140 265 149 95 139
-141 209 126 87 164
-142 88 167 159 186
-143 89 144 169 161
-144 143 136 169 106
-145 90 171 182 162
-146 253 91 223 163
-147 165 220 256 92
-148 233 168 93 160
-149 231 95 140 217
-150 180 96 151 97
-151 121 180 192 150
-152 99 177 215 98
-153 100 101 268 259
-154 82 83 271 262
-155 84 206 97 251
-156 99 157 245 85
-157 156 245 116 230
-158 201 193 139 86
-159 88 191 160 142
-160 233 191 148 159
-161 143 89 199 254
-162 90 145 257 197
-163 242 91 146 164
-164 209 242 141 163
-165 166 167 92 147
-166 165 133 134 167
-167 165 166 142 186
-168 169 93 148 239
-169 143 144 168 239
-170 112 212 94 171
-171 145 212 170 182
-172 266 216 173 108
-173 198 266 172 129
-174 267 109 175 219
-175 200 267 130 174
-176 110 177 237 128
-177 176 215 237 152
-178 111 112 207 240
-179 188 222 113 180
-180 188 179 150 151
-181 114 225 182 204
-182 145 181 171 204
-183 243 138 107 184
-184 243 115 183 228
-185 232 248 117 186
-186 167 248 185 142
-187 188 234 118 252
-188 187 179 180 252
-189 236 226 119 263
-190 191 238 260 120
-191 190 159 160 260
-192 121 193 151 272
-193 201 158 192 272
-194 122 202 269 218
-195 123 224 235 241
-196 244 124 227 197
-197 257 227 162 196
-198 199 221 129 173
-199 198 221 254 161
-200 201 130 229 175
-201 200 158 193 229
-202 122 203 204 194
-203 132 202 204 131
-204 202 181 203 182
-205 135 136 206 207
-206 155 205 207 251
-207 178 205 206 240
-208 209 213 137 138
-209 213 141 164 208
-210 255 102 103 258
-211 132 212 213 104
-212 211 213 170 171
-213 209 211 212 208
-214 134 105 215 249
-215 177 214 249 152
-216 172 217 108 218
-217 231 149 216 218
-218 269 194 216 217
-219 220 221 174 109
-220 221 256 147 219
-221 198 220 199 219
-222 113 179 223 224
-223 253 222 146 224
-224 222 223 235 195
-225 114 181 226 227
-226 189 225 227 263
-227 225 226 196 197
-228 264 115 184 229
-229 264 200 201 228
-230 231 157 116 261
-231 149 217 261 230
-232 233 117 185 273
-233 232 148 160 273
-234 187 235 270 118
-235 234 224 270 195
-236 189 246 237 119
-237 176 177 246 236
-238 190 239 240 120
-239 168 169 238 240
-240 178 238 239 207
-241 242 243 123 195
-242 243 163 164 241
-243 242 183 184 241
-244 124 245 246 196
-245 156 244 157 246
-246 244 245 236 237
-247 125 126 248 249
-248 247 249 185 186
-249 214 247 215 248
-250 127 128 251 252
-251 155 206 250 252
-252 187 188 250 251
-253 254 255 146 223
-254 253 199 255 161
-255 253 210 254 258
-256 220 147 257 258
-257 256 258 162 197
-258 210 255 256 257
-259 268 260 261 153
-260 190 191 259 261
-261 231 259 260 230
-262 154 264 271 263
-263 264 189 226 262
-264 228 229 262 263
-265 266 267 139 140
-266 265 267 172 173
-267 265 266 174 175
-268 269 259 270 153
-269 268 270 194 218
-270 234 235 268 269
-271 154 272 262 273
-272 192 193 271 273
-273 232 233 271 272
0