Graph forms
for C4 [ 273, 12 ] = L(F182D)
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On this page are computer-accessible forms for the graph C4[ 273, 12 ] =
L(F182D).
(I) Following is a form readable by MAGMA:
g:=Graph<273|{ {2, 3}, {272, 273}, {268, 269}, {266, 267}, {264, 265}, {256,
257}, {254, 255}, {252, 253}, {244, 245}, {242, 243}, {240, 241}, {238, 239},
{230, 231}, {228, 229}, {226, 227}, {216, 217}, {214, 215}, {210, 211}, {208,
209}, {206, 207}, {204, 205}, {202, 203}, {198, 199}, {196, 197}, {190, 191},
{186, 187}, {182, 183}, {180, 181}, {178, 179}, {174, 175}, {172, 173}, {170,
171}, {168, 169}, {164, 165}, {162, 163}, {4, 5}, {94, 95}, {96, 97}, {98, 99},
{100, 101}, {102, 103}, {104, 105}, {118, 119}, {120, 121}, {122, 123}, {124,
125}, {126, 127}, {128, 129}, {142, 143}, {144, 145}, {146, 147}, {148, 149},
{150, 151}, {152, 153}, {154, 155}, {156, 157}, {158, 159}, {160, 161}, {1, 3},
{268, 270}, {256, 258}, {244, 246}, {237, 239}, {225, 227}, {216, 218}, {213,
215}, {201, 203}, {1, 2}, {269, 270}, {261, 262}, {257, 258}, {249, 250}, {245,
246}, {237, 238}, {233, 234}, {225, 226}, {221, 222}, {217, 218}, {213, 214},
{201, 202}, {193, 194}, {109, 110}, {113, 114}, {133, 134}, {137, 138}, {1, 5},
{25, 29}, {24, 28}, {17, 21}, {16, 20}, {3, 7}, {2, 6}, {1, 4}, {10, 12}, {251,
253}, {210, 212}, {195, 197}, {11, 13}, {88, 95}, {259, 260}, {251, 252}, {235,
236}, {219, 220}, {211, 212}, {195, 196}, {107, 108}, {115, 116}, {131, 132},
{139, 140}, {4, 12}, {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}, {2, 8}, {177, 187}, {3, 9}, {260, 271}, {22, 26}, {259, 271}, {23, 27},
{4, 10}, {263, 265}, {243, 253}, {230, 232}, {198, 200}, {7, 9}, {6, 8}, {5,
11}, {135, 136}, {263, 264}, {247, 248}, {231, 232}, {199, 200}, {10, 26}, {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}, {77, 93}, {166, 183}, {239, 254}, {232, 249}, {6, 18}, {13, 25},
{12, 24}, {7, 19}, {143, 154}, {261, 272}, {136, 158}, {262, 272}, {170, 189},
{8, 16}, {47, 55}, {46, 54}, {9, 17}, {160, 184}, {267, 273}, {266, 273}, {8,
20}, {234, 246}, {224, 252}, {15, 19}, {14, 18}, {11, 23}, {10, 22}, {9, 21},
{96, 126}, {271, 273}, {111, 112}, {271, 272}, {22, 54}, {31, 63}, {30, 62},
{29, 61}, {28, 60}, {27, 59}, {26, 58}, {25, 57}, {24, 56}, {23, 55}, {149,
180}, {94, 124}, {90, 127}, {151, 178}, {129, 167}, {73, 110}, {213, 242}, {80,
119}, {132, 163}, {14, 38}, {215, 255}, {29, 53}, {28, 52}, {27, 51}, {26, 50},
{25, 49}, {24, 48}, {15, 39}, {69, 108}, {206, 231}, {76, 101}, {89, 112}, {83,
125}, {145, 191}, {144, 191}, {198, 233}, {153, 182}, {16, 32}, {21, 37}, {20,
36}, {19, 35}, {18, 34}, {17, 33}, {223, 238}, {70, 116}, {200, 250}, {72, 123},
{84, 103}, {93, 105}, {16, 40}, {65, 121}, {31, 39}, {30, 38}, {23, 47}, {22,
46}, {21, 45}, {20, 44}, {19, 43}, {18, 42}, {17, 41}, {91, 97}, {207, 245},
{147, 169}, {134, 186}, {140, 176}, {77, 114}, {223, 224}, {92, 99}, {138, 181},
{145, 174}, {138, 202}, {189, 253}, {163, 227}, {162, 227}, {137, 202}, {188,
255}, {60, 120}, {184, 252}, {61, 122}, {185, 254}, {177, 246}, {56, 113}, {57,
115}, {176, 250}, {59, 118}, {181, 251}, {189, 243}, {47, 96}, {180, 251}, {167,
232}, {58, 117}, {30, 78}, {164, 244}, {31, 79}, {146, 194}, {47, 126}, {165,
244}, {140, 221}, {147, 194}, {46, 124}, {48, 98}, {141, 223}, {166, 245}, {50,
102}, {136, 220}, {49, 100}, {139, 221}, {186, 236}, {185, 239}, {174, 248},
{130, 213}, {187, 236}, {175, 248}, {55, 111}, {184, 224}, {142, 214}, {143,
214}, {151, 205}, {171, 241}, {51, 104}, {177, 234}, {170, 241}, {54, 109},
{135, 220}, {150, 205}, {133, 217}, {152, 196}, {153, 196}, {52, 106}, {167,
249}, {53, 107}, {155, 197}, {158, 192}, {134, 217}, {154, 197}, {159, 192},
{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}, {132, 229}, {141,
238}, {131, 229}, {183, 209}, {182, 209}, {166, 207}, {157, 247}, {156, 247},
{188, 215}, {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}, {128, 240}, {130, 242}, {129, 240}, {148, 226}, {172,
218}, {149, 226}, {173, 218}, {176, 200}, {179, 203}, {178, 203}, {168, 212},
{169, 212}, {160, 222}, {190, 192}, {161, 222}, {191, 192}, {107, 235}, {99,
225}, {98, 225}, {106, 233}, {96, 228}, {97, 228}, {108, 235}, {63, 180}, {104,
230}, {105, 230}, {125, 237}, {124, 237}, {117, 231}, {114, 210}, {120, 216},
{121, 216}, {113, 210}, {62, 154}, {101, 193}, {103, 195}, {109, 201}, {61,
152}, {100, 193}, {102, 195}, {118, 208}, {110, 201}, {119, 208}, {58, 146},
{57, 144}, {60, 150}, {63, 149}, {112, 219}, {106, 198}, {127, 211}, {126, 211},
{59, 148}, {48, 128}, {50, 131}, {62, 143}, {49, 130}, {52, 135}, {111, 219},
{51, 133}, {56, 142}, {116, 204}, {55, 141}, {117, 206}, {53, 137}, {123, 199},
{54, 139}, {122, 199}, {115, 204}, {89, 155}, {93, 159}, {99, 165}, {90, 157},
{78, 134}, {103, 175}, {101, 172}, {66, 136}, {75, 129}, {110, 164}, {119, 188},
{125, 173}, {85, 132}, {97, 179}, {114, 161}, {123, 168}, {108, 185}, {71, 145},
{116, 162}, {64, 151}, {82, 138}, {67, 153}, {86, 140}, {66, 158}, {79, 147},
{65, 156}, {72, 168}, {76, 172}, {94, 190}, {95, 190}, {98, 128}, {107, 137},
{111, 141}, {118, 148}, {122, 152}, {127, 157}, {115, 144}, {68, 160}, {70,
162}, {102, 131}, {121, 156}, {79, 169}, {86, 176}, {87, 177}, {100, 130}, {109,
139}, {82, 181}, {117, 146}, {91, 179}, {71, 174}, {112, 155}, {74, 166}, {75,
167}, {77, 161}, {80, 188}, {81, 189}, {87, 187}, {73, 164}, {104, 133}, {106,
135}, {120, 150}, {64, 178}, {88, 171}, {78, 186}, {95, 171}, {67, 182}, {85,
163}, {105, 159}, {92, 165}, {81, 170}, {84, 175}, {68, 184}, {69, 185}, {74,
183}, {83, 173}, {113, 142}, {194, 259}, {193, 259}, {204, 256}, {205, 256},
{207, 257}, {206, 257}, {209, 261}, {208, 261}, {220, 260}, {222, 262}, {221,
262}, {223, 258}, {219, 260}, {233, 264}, {235, 266}, {224, 258}, {234, 264},
{229, 263}, {228, 263}, {236, 266}, {254, 270}, {255, 270}, {248, 268}, {249,
269}, {250, 269}, {241, 267}, {243, 265}, {240, 267}, {247, 268}, {242, 265}
}>;
(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, 8, 16, 40, 72, 168, 212, 210, 113, 56, 24, 12, 4)(3, 6, 20, 32, 88,
123, 169, 211, 114, 142, 48, 28, 10, 5)(7, 18, 36, 80, 171, 199, 147, 126, 77,
143, 98, 60, 22, 13)(9, 14, 44, 64, 95, 122, 79, 127, 161, 214, 128, 52, 26,
11)(15, 42, 68, 188, 241, 198, 146, 47, 45, 62, 99, 150, 46, 29)(17, 38, 76,
178, 190, 152, 63, 157, 222, 213, 129, 135, 50, 27)(19, 34, 84, 119, 170, 200,
194, 96, 93, 154, 225, 120, 54, 25)(21, 30, 92, 151, 94, 61, 31, 90, 160, 215,
240, 106, 58, 23)(33, 86, 101, 179, 192, 196, 149, 156, 221, 130, 75, 136, 102,
59)(35, 82, 175, 208, 189, 250, 259, 228, 105, 155, 227, 216, 109, 57)(37, 78,
165, 205, 124, 53, 39, 74, 184, 255, 267, 233, 117, 55)(41, 70, 172, 203, 191,
153, 180, 247, 262, 242, 167, 220, 131, 51)(43, 66, 103, 118, 81, 176, 193, 97,
159, 197, 226, 121, 139, 49)(65, 140, 100, 91, 158, 195, 148)(67, 181, 248, 261,
243, 249, 260, 229, 104, 89, 162, 218, 201, 144)(69, 186, 244, 256, 237, 107,
87, 166, 224, 254, 266, 234, 206, 141)(71, 183, 252, 270, 273, 264, 231, 111,
85, 134, 164, 204, 125, 137)(73, 116, 173, 202, 145, 182, 251, 268, 272, 265,
232, 219, 132, 133)(83, 138, 174, 209, 253, 269, 271, 263, 230, 112, 163, 217,
110, 115)(108, 187, 245, 258, 239, 235, 177, 207, 223, 185, 236, 246, 257,
238) (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: (4, 5)(6, 8)(7, 9)(10, 11)(12, 13)(14, 16)(15, 17)(18, 20)(19, 21)(22,
27)(23, 26)(24, 29)(25, 28)(30, 40)(31, 41)(32, 38)(33, 39)(34, 44)(35, 45)(36,
42)(37, 43)(46, 51)(47, 50)(48, 53)(49, 52)(54, 59)(55, 58)(56, 61)(57, 60)(62,
72)(63, 73)(64, 70)(65, 71)(66, 76)(67, 77)(68, 74)(69, 75)(78, 88)(79, 89)(80,
86)(81, 87)(82, 92)(83, 93)(84, 90)(85, 91)(94, 133)(95, 134)(96, 131)(97,
132)(98, 137)(99, 138)(100, 135)(101, 136)(102, 126)(103, 127)(104, 124)(105,
125)(106, 130)(107, 128)(108, 129)(109, 148)(110, 149)(111, 146)(112, 147)(113,
152)(114, 153)(115, 150)(116, 151)(117, 141)(118, 139)(119, 140)(120, 144)(121,
145)(122, 142)(123, 143)(154, 168)(155, 169)(156, 174)(157, 175)(158, 172)(159,
173)(160, 183)(161, 182)(162, 178)(163, 179)(164, 180)(165, 181)(166, 184)(167,
185)(170, 187)(171, 186)(176, 188)(177, 189)(190, 217)(191, 216)(192, 218)(193,
220)(194, 219)(195, 211)(196, 210)(197, 212)(198, 213)(199, 214)(200, 215)(201,
226)(202, 225)(203, 227)(204, 205)(206, 223)(207, 224)(208, 221)(209, 222)(228,
229)(230, 237)(231, 238)(232, 239)(233, 242)(234, 243)(235, 240)(236, 241)(244,
251)(245, 252)(246, 253)(247, 248)(249, 254)(250, 255)(257, 258)(259, 260)(261,
262)(264, 265)(266, 267)(269, 270)
c: (2, 5, 3, 4)(6, 11, 9, 12)(7, 10, 8, 13)(14, 27, 21, 24)(15, 26, 20, 25)(16,
29, 19, 22)(17, 28, 18, 23)(30, 51, 45, 56)(31, 50, 44, 57)(32, 53, 43, 54)(33,
52, 42, 55)(34, 47, 41, 60)(35, 46, 40, 61)(36, 49, 39, 58)(37, 48, 38, 59)(62,
133, 93, 113)(63, 131, 92, 115)(64, 137, 91, 109)(65, 135, 90, 111)(66, 126, 89,
120)(67, 124, 88, 122)(68, 130, 87, 117)(69, 128, 86, 118)(70, 148, 85, 98)(71,
146, 84, 100)(72, 152, 83, 94)(73, 150, 82, 96)(74, 141, 81, 106)(75, 139, 80,
107)(76, 144, 79, 102)(77, 142, 78, 104)(95, 123, 153, 125)(97, 110, 151,
138)(99, 116, 149, 132)(101, 145, 147, 103)(105, 114, 143, 134)(108, 129, 140,
119)(112, 121, 136, 127)(154, 217, 159, 210)(155, 216, 158, 211)(156, 220, 157,
219)(160, 213, 187, 231)(161, 214, 186, 230)(162, 226, 163, 225)(164, 205, 181,
228)(165, 204, 180, 229)(166, 223, 189, 233)(167, 221, 188, 235)(168, 196, 173,
190)(169, 195, 172, 191)(170, 198, 183, 238)(171, 199, 182, 237)(174, 194, 175,
193)(176, 208, 185, 240)(177, 206, 184, 242)(178, 202, 179, 201)(192, 212, 197,
218)(200, 209, 239, 241)(207, 224, 243, 234)(215, 236, 232, 222)(244, 256, 251,
263)(245, 258, 253, 264)(246, 257, 252, 265)(247, 260)(248, 259)(249, 262, 255,
266)(250, 261, 254, 267)(268, 271)(269, 272, 270, 273)
C4[ 273, 12 ]
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 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 22 124 94 54
-47 55 23 126 96
-48 56 24 128 98
-49 100 57 25 130
-50 58 102 26 131
-51 133 59 27 104
-52 135 60 28 106
-53 137 61 29 107
-54 22 46 139 109
-55 23 111 47 141
-56 24 113 48 142
-57 144 25 49 115
-58 146 26 50 117
-59 27 148 51 118
-60 28 150 52 120
-61 122 29 53 152
-62 143 154 78 30
-63 79 180 149 31
-64 178 80 151 32
-65 33 121 156 81
-66 34 136 158 82
-67 35 83 182 153
-68 36 160 84 184
-69 37 85 108 185
-70 38 116 162 86
-71 145 39 174 87
-72 88 123 168 40
-73 110 89 41 164
-74 166 90 183 42
-75 167 91 129 43
-76 44 101 92 172
-77 45 114 93 161
-78 134 62 30 186
-79 147 169 63 31
-80 188 64 119 32
-81 33 189 170 65
-82 66 34 181 138
-83 67 35 125 173
-84 68 36 103 175
-85 132 69 37 163
-86 176 70 38 140
-87 187 177 71 39
-88 72 171 40 95
-89 155 112 73 41
-90 157 127 74 42
-91 179 75 97 43
-92 44 99 165 76
-93 77 45 159 105
-94 46 124 190 95
-95 88 190 94 171
-96 47 126 228 97
-97 91 179 96 228
-98 99 48 225 128
-99 165 92 225 98
-100 101 49 193 130
-101 100 193 172 76
-102 103 50 195 131
-103 102 84 195 175
-104 133 105 51 230
-105 93 104 159 230
-106 198 233 135 52
-107 235 137 53 108
-108 69 235 107 185
-109 110 201 139 54
-110 201 73 109 164
-111 55 112 141 219
-112 89 111 155 219
-113 56 210 114 142
-114 77 210 113 161
-115 144 57 116 204
-116 70 115 204 162
-117 231 58 146 206
-118 59 148 119 208
-119 188 80 118 208
-120 121 60 150 216
-121 156 216 65 120
-122 199 123 61 152
-123 122 199 168 72
-124 46 125 94 237
-125 124 83 237 173
-126 211 47 127 96
-127 90 211 157 126
-128 48 129 240 98
-129 167 128 75 240
-130 242 100 213 49
-131 132 102 50 229
-132 85 163 229 131
-133 134 104 51 217
-134 78 133 217 186
-135 220 136 106 52
-136 66 220 135 158
-137 202 138 107 53
-138 202 82 137 181
-139 221 140 54 109
-140 176 221 139 86
-141 55 111 223 238
-142 143 56 113 214
-143 154 214 62 142
-144 57 145 191 115
-145 144 191 71 174
-146 58 147 117 194
-147 79 146 169 194
-148 59 149 226 118
-149 180 148 226 63
-150 60 205 151 120
-151 178 150 205 64
-152 122 61 196 153
-153 67 182 152 196
-154 143 155 62 197
-155 154 89 112 197
-156 121 157 247 65
-157 90 156 247 127
-158 66 136 159 192
-159 158 93 192 105
-160 68 222 161 184
-161 77 222 114 160
-162 70 116 227 163
-163 132 227 85 162
-164 110 165 244 73
-165 99 244 92 164
-166 245 183 74 207
-167 232 249 129 75
-168 123 212 169 72
-169 79 168 212 147
-170 189 81 171 241
-171 88 170 95 241
-172 101 173 218 76
-173 125 83 172 218
-174 145 71 248 175
-175 103 248 84 174
-176 200 140 250 86
-177 187 234 246 87
-178 179 203 151 64
-179 178 91 203 97
-180 181 149 63 251
-181 180 82 138 251
-182 209 67 183 153
-183 209 166 182 74
-184 68 224 160 252
-185 254 69 239 108
-186 187 78 134 236
-187 177 236 87 186
-188 255 80 215 119
-189 253 243 81 170
-190 191 192 94 95
-191 144 145 190 192
-192 190 158 191 159
-193 100 101 259 194
-194 146 147 193 259
-195 102 103 196 197
-196 195 152 153 197
-197 154 155 195 196
-198 199 200 233 106
-199 198 122 123 200
-200 176 198 199 250
-201 110 202 203 109
-202 201 137 203 138
-203 178 179 201 202
-204 256 115 116 205
-205 256 204 150 151
-206 231 257 117 207
-207 166 245 257 206
-208 209 118 261 119
-209 182 183 261 208
-210 211 113 212 114
-211 210 212 126 127
-212 210 211 168 169
-213 242 214 215 130
-214 143 213 215 142
-215 188 255 213 214
-216 121 217 218 120
-217 133 134 216 218
-218 172 216 173 217
-219 220 111 112 260
-220 135 136 260 219
-221 222 139 140 262
-222 221 160 161 262
-223 224 258 238 141
-224 223 258 184 252
-225 99 226 227 98
-226 148 225 149 227
-227 225 226 162 163
-228 96 97 229 263
-229 132 228 131 263
-230 231 232 104 105
-231 232 117 206 230
-232 231 167 249 230
-233 198 264 234 106
-234 264 177 233 246
-235 266 236 107 108
-236 187 266 235 186
-237 124 125 238 239
-238 223 237 239 141
-239 254 237 238 185
-240 267 128 129 241
-241 267 170 171 240
-242 243 265 213 130
-243 242 253 265 189
-244 165 245 246 164
-245 166 244 246 207
-246 177 244 234 245
-247 156 157 268 248
-248 268 247 174 175
-249 232 167 269 250
-250 176 200 269 249
-251 253 180 181 252
-252 253 224 184 251
-253 243 189 251 252
-254 255 270 239 185
-255 188 254 215 270
-256 257 258 204 205
-257 256 258 206 207
-258 223 256 224 257
-259 193 194 260 271
-260 220 259 271 219
-261 209 272 262 208
-262 221 222 261 272
-263 264 265 228 229
-264 265 233 234 263
-265 242 264 243 263
-266 267 235 236 273
-267 266 240 273 241
-268 247 269 248 270
-269 268 270 249 250
-270 254 255 268 269
-271 259 260 272 273
-272 271 261 262 273
-273 266 267 271 272
0