Graph forms
for C4 [ 252, 24 ] =
PL(WH_42(3,0,11,17),[3^42,14^9])
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On this page are computer-accessible forms for the graph C4[ 252, 24 ] =
PL(WH_42(3,0,11,17),[3^42,14^9]).
(I) Following is a form readable by MAGMA:
g:=Graph<252|{ {57, 127}, {56, 127}, {2, 127}, {1, 127}, {21, 149}, {120, 248},
{37, 165}, {70, 198}, {22, 151}, {46, 175}, {32, 161}, {3, 129}, {97, 227}, {27,
153}, {12, 142}, {83, 209}, {1, 130}, {101, 230}, {49, 178}, {11, 136}, {73,
202}, {24, 156}, {87, 211}, {9, 140}, {124, 249}, {105, 236}, {57, 188}, {39,
162}, {62, 187}, {8, 142}, {61, 187}, {38, 160}, {35, 165}, {34, 164}, {63,
185}, {52, 179}, {111, 232}, {107, 236}, {74, 205}, {81, 214}, {24, 144}, {110,
230}, {109, 229}, {64, 200}, {67, 203}, {4, 141}, {86, 223}, {14, 132}, {112,
250}, {108, 230}, {52, 190}, {30, 148}, {25, 147}, {85, 222}, {38, 170}, {35,
174}, {110, 227}, {3, 141}, {107, 229}, {65, 207}, {75, 196}, {79, 192}, {52,
164}, {106, 250}, {96, 240}, {84, 197}, {121, 232}, {117, 228}, {105, 248}, {93,
204}, {43, 185}, {93, 207}, {9, 154}, {15, 156}, {64, 211}, {73, 218}, {22,
130}, {102, 242}, {36, 176}, {58, 175}, {122, 239}, {67, 214}, {78, 219}, {85,
192}, {86, 195}, {36, 178}, {111, 249}, {101, 243}, {41, 191}, {89, 207}, {64,
215}, {76, 219}, {20, 140}, {29, 133}, {74, 210}, {88, 192}, {23, 142}, {125,
228}, {99, 250}, {28, 133}, {67, 218}, {78, 212}, {117, 239}, {63, 164}, {108,
247}, {82, 201}, {32, 188}, {40, 180}, {34, 190}, {68, 216}, {69, 217}, {8,
149}, {109, 240}, {106, 247}, {41, 180}, {47, 177}, {102, 248}, {61, 163}, {5,
154}, {92, 195}, {20, 139}, {60, 156}, {33, 128}, {120, 217}, {104, 201}, {58,
155}, {62, 159}, {83, 242}, {50, 144}, {61, 159}, {5, 166}, {114, 209}, {98,
193}, {18, 182}, {124, 216}, {100, 192}, {26, 190}, {25, 189}, {43, 142}, {125,
216}, {112, 213}, {44, 137}, {79, 234}, {89, 252}, {11, 173}, {69, 226}, {77,
234}, {1, 169}, {59, 147}, {65, 233}, {4, 173}, {50, 155}, {6, 172}, {38, 140},
{7, 173}, {79, 229}, {2, 169}, {96, 203}, {87, 252}, {19, 191}, {98, 206}, {55,
155}, {88, 244}, {2, 175}, {122, 215}, {105, 196}, {97, 204}, {37, 136}, {27,
182}, {25, 180}, {16, 189}, {3, 173}, {121, 215}, {96, 206}, {90, 244}, {58,
148}, {47, 129}, {15, 161}, {5, 171}, {7, 168}, {100, 203}, {54, 153}, {17,
190}, {62, 145}, {4, 180}, {92, 236}, {52, 133}, {72, 249}, {18, 160}, {122,
200}, {118, 196}, {48, 130}, {47, 157}, {68, 246}, {88, 234}, {16, 163}, {51,
128}, {63, 139}, {91, 239}, {81, 229}, {83, 231}, {53, 128}, {97, 212}, {77,
248}, {29, 171}, {123, 205}, {10, 189}, {94, 233}, {41, 145}, {117, 205}, {94,
230}, {72, 241}, {113, 200}, {12, 182}, {96, 218}, {91, 225}, {54, 140}, {45,
151}, {41, 147}, {25, 163}, {6, 189}, {119, 204}, {60, 135}, {32, 155}, {17,
170}, {65, 250}, {73, 242}, {90, 225}, {35, 159}, {104, 212}, {51, 143}, {44,
144}, {53, 136}, {118, 203}, {115, 206}, {104, 213}, {103, 218}, {8, 182}, {103,
217}, {33, 159}, {13, 179}, {12, 179}, {21, 213}, {94, 158}, {36, 228}, {33,
225}, {8, 201}, {126, 191}, {123, 186}, {48, 241}, {19, 210}, {71, 134}, {35,
225}, {99, 161}, {44, 238}, {74, 136}, {77, 143}, {13, 206}, {45, 238}, {39,
228}, {31, 220}, {30, 221}, {29, 217}, {115, 183}, {56, 252}, {21, 208}, {117,
176}, {57, 252}, {26, 223}, {24, 221}, {1, 199}, {124, 186}, {92, 154}, {55,
241}, {42, 236}, {33, 231}, {40, 239}, {82, 149}, {42, 226}, {84, 156}, {3,
202}, {74, 131}, {72, 130}, {66, 137}, {97, 170}, {93, 150}, {28, 208}, {116,
184}, {103, 171}, {82, 158}, {86, 154}, {14, 195}, {59, 246}, {80, 157}, {17,
223}, {126, 176}, {119, 185}, {110, 160}, {92, 146}, {37, 235}, {75, 133}, {6,
214}, {111, 191}, {101, 181}, {31, 207}, {7, 214}, {22, 199}, {73, 152}, {15,
221}, {106, 184}, {76, 158}, {79, 157}, {83, 129}, {71, 148}, {125, 174}, {10,
222}, {116, 160}, {113, 165}, {54, 226}, {51, 231}, {23, 195}, {15, 219}, {44,
249}, {108, 185}, {95, 138}, {60, 233}, {88, 141}, {39, 241}, {56, 238}, {62,
232}, {70, 144}, {68, 147}, {90, 141}, {6, 222}, {91, 131}, {10, 210}, {78,
150}, {11, 210}, {124, 165}, {94, 135}, {51, 234}, {75, 146}, {16, 202}, {114,
168}, {93, 135}, {27, 193}, {85, 143}, {26, 193}, {110, 181}, {30, 197}, {43,
247}, {126, 162}, {109, 177}, {59, 231}, {69, 153}, {31, 194}, {46, 243}, {22,
200}, {120, 166}, {116, 170}, {114, 172}, {105, 183}, {53, 235}, {43, 245}, {40,
246}, {89, 135}, {99, 188}, {125, 162}, {113, 174}, {39, 199}, {91, 187}, {63,
223}, {81, 177}, {10, 235}, {119, 150}, {106, 139}, {80, 177}, {90, 187}, {16,
242}, {57, 219}, {49, 211}, {46, 204}, {23, 245}, {20, 247}, {61, 222}, {69,
166}, {9, 237}, {118, 146}, {53, 209}, {70, 162}, {5, 224}, {112, 149}, {99,
134}, {47, 202}, {40, 205}, {66, 167}, {29, 251}, {113, 151}, {111, 137}, {98,
132}, {54, 208}, {84, 178}, {18, 245}, {102, 129}, {28, 251}, {64, 167}, {82,
181}, {71, 175}, {121, 145}, {95, 183}, {9, 224}, {109, 132}, {59, 209}, {68,
174}, {34, 201}, {100, 143}, {45, 198}, {42, 193}, {102, 138}, {30, 243}, {49,
220}, {48, 221}, {76, 161}, {14, 224}, {121, 151}, {118, 152}, {50, 220}, {42,
196}, {27, 245}, {67, 172}, {126, 145}, {55, 199}, {66, 178}, {87, 167}, {89,
169}, {2, 243}, {101, 148}, {28, 237}, {18, 227}, {4, 246}, {123, 137}, {120,
138}, {116, 134}, {114, 128}, {108, 158}, {17, 227}, {72, 186}, {78, 188}, {86,
164}, {7, 244}, {95, 172}, {49, 194}, {84, 167}, {50, 198}, {48, 197}, {55,
194}, {13, 251}, {112, 134}, {107, 157}, {38, 208}, {31, 233}, {24, 238}, {70,
176}, {80, 166}, {85, 163}, {12, 251}, {115, 132}, {95, 168}, {36, 211}, {34,
213}, {23, 224}, {19, 235}, {123, 131}, {58, 194}, {26, 226}, {21, 237}, {66,
186}, {75, 179}, {20, 237}, {122, 131}, {115, 138}, {107, 146}, {60, 197}, {65,
184}, {76, 181}, {81, 168}, {45, 215}, {46, 212}, {77, 183}, {19, 232}, {98,
153}, {80, 171}, {32, 220}, {119, 139}, {100, 152}, {13, 240}, {37, 216}, {14,
240}, {104, 150}, {56, 198}, {87, 169}, {11, 244}, {103, 152}, {71, 184}
}>;
(II) A more general form is to represent the graph as the orbit of {57, 127}
under the group generated by the following permutations:
a: (1, 3, 8, 22, 47, 82, 113, 80, 76, 35, 5, 15, 33, 9, 24, 51, 20, 44, 77, 106,
111, 105, 65, 19, 42, 31, 10, 26, 49, 6, 17, 36, 67, 97, 117, 96, 46, 40, 13, 2,
4, 12)(7, 18, 39, 73, 104, 122, 109, 101, 68, 29, 57, 90, 23, 48, 83, 21, 45,
79, 108, 124, 120, 99, 62, 92, 60, 53, 54, 50, 85, 63, 66, 95, 116, 126, 118,
93, 74, 98, 58, 25, 52, 87)(11, 27, 55, 16, 34, 64, 81, 110, 125, 103, 78, 91,
14, 30, 59, 28, 56, 88, 43, 72, 102, 112, 121, 107, 94, 37, 69, 32, 61, 86, 84,
114, 38, 70, 100, 119, 123, 115, 71, 41, 75, 89)(127, 141, 142, 130, 129, 149,
151, 157, 158, 165, 166, 161, 159, 154, 156, 128, 140, 144, 143, 139, 137, 183,
184, 191, 196, 207, 210, 193, 194, 189, 190, 211, 214, 227, 228, 218, 212, 239,
240, 243, 246, 251)(131, 132, 148, 147, 133, 252, 244, 245, 241, 242, 213, 215,
229, 230, 216, 217, 188, 187, 195, 197, 209, 208, 198, 192, 185, 186, 138, 134,
145, 146, 135, 136, 153, 155, 163, 164, 167, 168, 160, 162, 152, 150)(169, 173,
182, 199, 202, 201, 200, 177, 181, 174, 171, 219, 225, 224, 221, 231, 237, 238,
234, 247, 249, 248, 250, 232, 236, 233, 235, 226, 220, 222, 223, 178, 172, 170,
176, 203, 204, 205, 206, 175, 180, 179) (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: (3, 7)(4, 11)(5, 14)(6, 16)(8, 21)(9, 23)(10, 25)(12, 28)(13, 29)(15, 32)(18,
38)(19, 41)(20, 43)(24, 50)(27, 54)(30, 58)(31, 60)(36, 66)(37, 68)(39, 72)(40,
74)(44, 70)(47, 81)(48, 55)(49, 84)(53, 59)(65, 94)(67, 73)(69, 98)(71, 101)(76,
99)(80, 109)(82, 112)(83, 114)(95, 102)(96, 103)(106, 108)(110, 116)(111,
126)(115, 120)(117, 123)(124, 125)(128, 231)(129, 168)(130, 199)(131, 239)(132,
166)(133, 179)(134, 181)(135, 207)(136, 246)(137, 176)(139, 185)(140, 245)(141,
244)(142, 237)(145, 232)(147, 235)(152, 203)(154, 195)(155, 221)(156, 220)(157,
229)(158, 250)(162, 249)(163, 222)(165, 174)(167, 211)(170, 227)(171, 240)(172,
242)(175, 243)(180, 210)(182, 208)(183, 248)(184, 230)(186, 228)(188, 219)(193,
226)(194, 197)(198, 238)(201, 213)(202, 214)(206, 217)
c: (2, 22)(3, 23, 6, 28)(4, 43, 10, 21)(5, 81, 13, 73)(7, 12, 16, 9)(8, 25, 20,
11)(14, 67, 29, 47)(15, 70, 31, 66)(17, 33)(18, 61, 38, 90)(19, 112, 40,
108)(24, 50, 49, 84)(26, 51)(27, 85, 54, 88)(30, 45, 58, 64)(32, 36, 60, 44)(34,
59, 63, 53)(35, 97)(37, 104, 68, 119)(39, 89, 72, 57)(41, 106, 74, 82)(42,
77)(46, 113)(48, 56, 55, 87)(52, 83, 86, 114)(62, 116, 91, 110)(65, 123, 76,
126)(69, 79, 98, 100)(71, 122, 101, 121)(75, 102, 92, 95)(78, 125, 93, 124)(80,
109, 96, 103)(94, 111, 99, 117)(107, 115, 118, 120)(127, 199, 169, 130)(128,
190, 231, 223)(129, 195, 172, 133)(131, 181, 145, 184)(132, 203, 217, 157)(134,
239, 230, 232)(135, 249, 188, 228)(136, 201, 147, 139)(137, 161, 176, 233)(138,
146)(140, 244, 182, 163)(141, 245, 222, 208)(142, 189, 237, 173)(143, 226, 234,
193)(144, 220, 178, 156)(148, 215)(149, 180, 247, 210)(150, 216)(151, 175, 200,
243)(152, 166, 229, 206)(153, 192)(154, 168, 179, 242)(155, 211, 197, 238)(158,
191, 250, 205)(159, 170, 225, 227)(160, 187)(162, 207, 186, 219)(164, 209)(165,
212, 174, 204)(167, 221, 198, 194)(171, 177, 240, 218)(183, 196, 248, 236)(185,
235, 213, 246)(202, 224, 214, 251)(241, 252)
d: (1, 2, 46, 97, 17, 26, 42, 105, 77, 51, 33, 35, 113, 22)(3, 4, 40, 117, 36,
49, 31, 65, 106, 20, 9, 5, 80, 47)(6, 10, 19, 111, 44, 24, 15, 76, 82, 8, 12,
13, 96, 67)(7, 25, 74, 126, 66, 50, 60, 99, 108, 21, 23, 29, 109, 73)(11, 41,
123, 70, 84, 32, 94, 112, 43, 28, 14, 103, 81, 16)(18, 52, 98, 118, 95, 85, 53,
62, 124, 45, 48, 57, 101, 104)(27, 75, 115, 100, 114, 61, 37, 121, 72, 56, 30,
78, 110, 34)(38, 86, 69, 107, 102, 88, 59, 91, 125, 64, 55, 89, 71, 119)(39, 87,
58, 93, 116, 63, 54, 92, 120, 79, 83, 90, 68, 122)(127, 243, 212, 227, 190, 193,
196, 183, 143, 128, 159, 165, 151, 130)(129, 141, 246, 239, 228, 211, 194, 207,
184, 139, 140, 154, 166, 157)(131, 162, 167, 155, 135, 134, 185, 208, 195, 217,
229, 242, 244, 147)(132, 152, 168, 163, 136, 145, 186, 198, 197, 188, 230, 213,
245, 133)(137, 144, 156, 161, 158, 149, 142, 251, 240, 218, 214, 189, 210,
191)(138, 192, 209, 187, 216, 215, 241, 252, 148, 150, 160, 164, 153, 146)(169,
175, 204, 170, 223, 226, 236, 248, 234, 231, 225, 174, 200, 199)(171, 177, 202,
173, 180, 205, 176, 178, 220, 233, 250, 247, 237, 224)(172, 222, 235, 232, 249,
238, 221, 219, 181, 201, 182, 179, 206, 203)
C4[ 252, 24 ]
252
-1 199 169 127 130
-2 243 169 127 175
-3 202 129 173 141
-4 180 246 173 141
-5 154 166 224 171
-6 189 222 214 172
-7 244 168 214 173
-8 201 149 182 142
-9 154 224 237 140
-10 210 189 222 235
-11 210 244 136 173
-12 179 182 251 142
-13 179 206 240 251
-14 132 224 195 240
-15 221 156 161 219
-16 242 189 202 163
-17 190 223 170 227
-18 245 160 182 227
-19 210 232 191 235
-20 247 237 139 140
-21 213 149 237 208
-22 199 200 151 130
-23 245 224 195 142
-24 144 221 156 238
-25 189 147 180 163
-26 190 223 193 226
-27 245 182 193 153
-28 133 237 251 208
-29 133 171 217 251
-30 221 243 148 197
-31 220 233 194 207
-32 220 155 188 161
-33 231 159 225 128
-34 190 201 213 164
-35 165 159 225 174
-36 176 178 211 228
-37 165 136 235 216
-38 170 160 140 208
-39 199 162 228 241
-40 180 246 205 239
-41 145 147 180 191
-42 236 193 226 196
-43 245 247 185 142
-44 144 137 238 249
-45 198 215 238 151
-46 243 212 204 175
-47 177 157 202 129
-48 221 130 197 241
-49 220 178 211 194
-50 198 220 144 155
-51 143 231 234 128
-52 133 179 190 164
-53 209 136 235 128
-54 226 140 153 208
-55 155 199 194 241
-56 198 127 238 252
-57 188 127 219 252
-58 155 148 194 175
-59 209 231 147 246
-60 156 233 135 197
-61 187 222 159 163
-62 187 232 145 159
-63 223 139 185 164
-64 167 200 211 215
-65 233 184 250 207
-66 167 178 137 186
-67 203 214 172 218
-68 147 246 216 174
-69 166 226 217 153
-70 176 198 144 162
-71 134 148 184 175
-72 249 130 186 241
-73 242 202 152 218
-74 210 136 205 131
-75 133 146 179 196
-76 158 181 161 219
-77 143 234 248 183
-78 188 212 150 219
-79 157 234 192 229
-80 166 177 157 171
-81 177 168 214 229
-82 201 158 181 149
-83 209 231 242 129
-84 156 167 178 197
-85 143 222 192 163
-86 154 223 195 164
-87 167 211 169 252
-88 244 234 192 141
-89 135 169 207 252
-90 187 244 225 141
-91 187 225 239 131
-92 154 146 236 195
-93 135 204 150 207
-94 233 135 158 230
-95 168 138 172 183
-96 203 206 218 240
-97 212 170 204 227
-98 132 193 206 153
-99 188 134 161 250
-100 143 192 203 152
-101 243 148 181 230
-102 242 138 248 129
-103 171 217 152 218
-104 201 212 213 150
-105 236 248 183 196
-106 247 139 184 250
-107 146 157 236 229
-108 158 247 185 230
-109 132 177 229 240
-110 181 160 227 230
-111 232 191 137 249
-112 134 213 149 250
-113 165 200 151 174
-114 209 168 128 172
-115 132 138 183 206
-116 134 170 160 184
-117 176 205 228 239
-118 146 203 152 196
-119 204 139 150 185
-120 166 138 248 217
-121 232 145 215 151
-122 200 215 239 131
-123 137 205 131 186
-124 165 216 249 186
-125 216 162 228 174
-126 176 145 191 162
-127 1 56 2 57
-128 33 114 51 53
-129 3 47 102 83
-130 22 1 48 72
-131 122 123 91 74
-132 14 115 98 109
-133 28 29 52 75
-134 99 112 71 116
-135 89 60 93 94
-136 11 37 74 53
-137 44 66 111 123
-138 102 115 95 120
-139 106 63 20 119
-140 38 9 20 54
-141 88 90 3 4
-142 12 23 8 43
-143 77 100 51 85
-144 44 24 70 50
-145 121 126 62 41
-146 92 107 118 75
-147 68 25 59 41
-148 101 58 71 30
-149 112 82 8 21
-150 78 93 104 119
-151 22 121 45 113
-152 100 103 73 118
-153 69 27 54 98
-154 92 5 9 86
-155 55 58 50 32
-156 24 15 60 84
-157 79 47 80 107
-158 82 94 108 76
-159 33 35 61 62
-160 110 38 116 18
-161 99 15 32 76
-162 70 125 126 39
-163 25 16 61 85
-164 34 52 63 86
-165 35 113 124 37
-166 69 80 5 120
-167 66 84 64 87
-168 81 114 7 95
-169 1 89 2 87
-170 38 17 116 97
-171 80 103 5 29
-172 67 114 6 95
-173 11 3 4 7
-174 35 68 113 125
-175 2 46 58 71
-176 36 70 126 117
-177 47 80 81 109
-178 66 36 49 84
-179 12 13 52 75
-180 25 4 40 41
-181 110 101 82 76
-182 12 27 18 8
-183 77 115 105 95
-184 71 116 106 65
-185 63 108 119 43
-186 66 123 124 72
-187 90 91 61 62
-188 99 78 57 32
-189 25 16 6 10
-190 34 26 17 52
-191 111 126 19 41
-192 88 100 79 85
-193 26 27 42 98
-194 55 58 49 31
-195 23 14 92 86
-196 105 118 42 75
-197 48 60 84 30
-198 45 56 70 50
-199 22 55 1 39
-200 22 122 113 64
-201 34 82 104 8
-202 3 47 16 73
-203 67 100 96 118
-204 46 93 97 119
-205 123 40 117 74
-206 13 115 96 98
-207 89 93 31 65
-208 38 28 21 54
-209 59 114 83 53
-210 11 19 74 10
-211 36 49 64 87
-212 78 46 104 97
-213 34 112 104 21
-214 67 81 6 7
-215 121 45 122 64
-216 68 124 37 125
-217 69 103 29 120
-218 67 103 73 96
-219 78 57 15 76
-220 49 50 31 32
-221 24 15 48 30
-222 6 61 85 10
-223 26 17 63 86
-224 23 14 5 9
-225 33 35 90 91
-226 69 26 42 54
-227 110 17 18 97
-228 36 125 39 117
-229 79 81 107 109
-230 110 101 94 108
-231 33 59 83 51
-232 121 111 62 19
-233 60 94 31 65
-234 77 88 79 51
-235 37 19 53 10
-236 92 105 107 42
-237 28 9 20 21
-238 44 45 56 24
-239 122 91 40 117
-240 13 14 96 109
-241 55 48 39 72
-242 102 16 83 73
-243 2 46 101 30
-244 11 88 90 7
-245 23 27 18 43
-246 68 4 59 40
-247 106 20 108 43
-248 77 102 105 120
-249 44 111 124 72
-250 99 112 106 65
-251 12 13 28 29
-252 56 89 57 87
0