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