Graph forms
for C4 [ 240, 149 ] =
PL(CS(Pr_10(2,3,1,4)[6^10],1))
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On this page are computer-accessible forms for the graph C4[ 240, 149 ] =
PL(CS(Pr_10(2,3,1,4)[6^10],1)).
(I) Following is a form readable by MAGMA:
g:=Graph<240|{ {72, 121}, {70, 126}, {70, 127}, {69, 127}, {69, 126}, {71, 121},
{50, 123}, {49, 123}, {49, 124}, {50, 124}, {29, 125}, {30, 126}, {29, 126},
{30, 125}, {21, 125}, {21, 124}, {22, 124}, {22, 125}, {10, 122}, {10, 123}, {9,
123}, {9, 122}, {1, 121}, {2, 122}, {1, 122}, {2, 121}, {4, 127}, {3, 127}, {15,
143}, {16, 144}, {27, 155}, {96, 224}, {100, 228}, {101, 229}, {27, 154}, {96,
225}, {39, 165}, {61, 191}, {3, 128}, {61, 190}, {39, 164}, {2, 134}, {4, 128},
{13, 137}, {14, 138}, {94, 218}, {95, 219}, {98, 230}, {99, 231}, {3, 134},
{117, 240}, {94, 219}, {95, 218}, {98, 231}, {99, 230}, {3, 133}, {67, 197},
{66, 196}, {63, 185}, {62, 184}, {28, 154}, {2, 133}, {67, 196}, {66, 197}, {63,
184}, {62, 185}, {47, 168}, {13, 138}, {14, 137}, {28, 155}, {95, 216}, {99,
228}, {4, 140}, {120, 240}, {16, 152}, {38, 174}, {92, 212}, {100, 236}, {16,
153}, {59, 178}, {39, 174}, {92, 213}, {100, 237}, {1, 139}, {65, 203}, {59,
177}, {11, 129}, {39, 173}, {11, 128}, {65, 202}, {38, 173}, {12, 128}, {46,
162}, {25, 149}, {40, 164}, {89, 213}, {94, 210}, {97, 237}, {102, 234}, {103,
235}, {1, 140}, {60, 177}, {46, 163}, {12, 129}, {25, 148}, {40, 165}, {89,
212}, {94, 211}, {97, 236}, {102, 235}, {103, 234}, {104, 229}, {26, 148}, {68,
202}, {60, 178}, {45, 163}, {93, 211}, {4, 139}, {68, 203}, {45, 162}, {26,
149}, {93, 210}, {7, 151}, {116, 228}, {44, 188}, {8, 152}, {88, 200}, {92,
204}, {37, 180}, {58, 171}, {88, 201}, {32, 178}, {113, 227}, {69, 215}, {57,
171}, {41, 187}, {95, 205}, {32, 179}, {69, 214}, {5, 145}, {6, 146}, {13, 153},
{23, 131}, {86, 194}, {87, 195}, {90, 206}, {91, 207}, {13, 152}, {119, 226},
{113, 228}, {57, 172}, {23, 130}, {41, 188}, {86, 195}, {87, 194}, {90, 207},
{91, 206}, {101, 240}, {24, 142}, {119, 225}, {71, 209}, {70, 208}, {58, 172},
{37, 179}, {74, 220}, {75, 221}, {5, 146}, {120, 239}, {116, 227}, {71, 208},
{70, 209}, {44, 187}, {6, 145}, {24, 143}, {74, 221}, {75, 220}, {87, 192}, {91,
204}, {6, 158}, {48, 168}, {88, 192}, {104, 240}, {7, 158}, {120, 225}, {7,
157}, {120, 226}, {117, 239}, {21, 143}, {24, 130}, {91, 193}, {6, 157}, {21,
142}, {24, 131}, {31, 132}, {40, 179}, {14, 146}, {118, 234}, {15, 147}, {31,
131}, {40, 180}, {42, 182}, {85, 201}, {90, 198}, {14, 147}, {119, 234}, {15,
146}, {43, 182}, {85, 200}, {90, 199}, {92, 193}, {22, 136}, {119, 233}, {72,
214}, {23, 137}, {43, 181}, {89, 199}, {7, 152}, {118, 233}, {72, 215}, {8,
151}, {15, 144}, {16, 143}, {22, 137}, {23, 136}, {42, 181}, {89, 198}, {10,
170}, {17, 177}, {42, 138}, {108, 204}, {5, 164}, {116, 213}, {113, 208}, {56,
153}, {53, 148}, {11, 170}, {17, 176}, {42, 139}, {11, 169}, {116, 214}, {114,
208}, {56, 154}, {54, 148}, {41, 139}, {77, 239}, {105, 203}, {10, 169}, {12,
175}, {32, 131}, {41, 138}, {77, 238}, {20, 176}, {32, 132}, {34, 134}, {20,
177}, {115, 214}, {111, 202}, {54, 147}, {34, 135}, {105, 204}, {5, 163}, {115,
213}, {111, 201}, {53, 147}, {9, 175}, {33, 135}, {78, 232}, {79, 233}, {33,
134}, {112, 215}, {78, 233}, {79, 232}, {103, 192}, {108, 203}, {36, 140}, {112,
216}, {104, 192}, {36, 141}, {117, 220}, {44, 133}, {109, 196}, {73, 227}, {118,
220}, {110, 196}, {8, 163}, {73, 226}, {8, 164}, {114, 222}, {106, 198}, {48,
157}, {118, 219}, {115, 222}, {110, 195}, {55, 154}, {96, 205}, {107, 198}, {29,
179}, {117, 219}, {115, 221}, {55, 153}, {35, 141}, {43, 133}, {76, 226}, {107,
197}, {109, 195}, {29, 178}, {114, 221}, {35, 140}, {76, 227}, {106, 197}, {17,
161}, {18, 162}, {51, 130}, {63, 142}, {30, 172}, {63, 141}, {51, 129}, {47,
157}, {31, 173}, {17, 162}, {18, 161}, {20, 167}, {30, 173}, {31, 172}, {19,
167}, {34, 150}, {83, 231}, {35, 150}, {109, 216}, {61, 136}, {52, 129}, {82,
231}, {35, 149}, {62, 136}, {52, 130}, {34, 149}, {18, 170}, {19, 171}, {36,
156}, {38, 158}, {96, 216}, {9, 176}, {112, 201}, {62, 135}, {18, 171}, {19,
170}, {38, 159}, {84, 237}, {26, 160}, {112, 202}, {109, 215}, {61, 135}, {27,
161}, {28, 166}, {33, 155}, {37, 159}, {82, 232}, {84, 238}, {99, 217}, {19,
168}, {26, 161}, {27, 160}, {28, 167}, {37, 158}, {43, 144}, {83, 232}, {12,
176}, {110, 210}, {44, 144}, {20, 168}, {81, 237}, {93, 225}, {98, 222}, {33,
156}, {114, 207}, {111, 210}, {93, 224}, {98, 223}, {100, 217}, {25, 167}, {113,
207}, {111, 209}, {80, 238}, {97, 223}, {25, 166}, {110, 209}, {36, 155}, {80,
239}, {81, 238}, {97, 222}, {71, 132}, {72, 132}, {64, 141}, {64, 142}, {60,
236}, {76, 156}, {105, 184}, {108, 189}, {57, 235}, {106, 184}, {108, 190}, {53,
224}, {57, 236}, {107, 190}, {107, 189}, {60, 235}, {75, 156}, {104, 191}, {56,
224}, {103, 191}, {75, 145}, {58, 230}, {74, 150}, {101, 185}, {102, 186}, {59,
230}, {66, 159}, {74, 151}, {76, 145}, {106, 183}, {59, 229}, {73, 151}, {65,
159}, {105, 183}, {58, 229}, {73, 150}, {101, 186}, {102, 185}, {52, 212}, {78,
174}, {65, 160}, {68, 165}, {78, 175}, {49, 211}, {68, 166}, {66, 160}, {77,
175}, {87, 181}, {77, 174}, {80, 180}, {82, 182}, {45, 200}, {67, 166}, {49,
212}, {82, 183}, {67, 165}, {79, 169}, {81, 183}, {52, 211}, {56, 223}, {81,
182}, {84, 188}, {84, 189}, {45, 199}, {53, 223}, {46, 194}, {54, 218}, {86,
186}, {47, 194}, {55, 218}, {86, 187}, {88, 181}, {47, 193}, {55, 217}, {83,
189}, {85, 187}, {46, 193}, {54, 217}, {83, 188}, {85, 186}, {48, 199}, {48,
200}, {80, 169}, {79, 180}, {50, 206}, {51, 206}, {51, 205}, {64, 190}, {50,
205}, {64, 191} }>;
(II) A more general form is to represent the graph as the orbit of {72, 121}
under the group generated by the following permutations:
a: (5, 53)(6, 54)(7, 55)(8, 56)(9, 72, 10, 71)(11, 70, 12, 69)(17, 115, 18,
114)(19, 113, 20, 116)(21, 24)(22, 23)(25, 76)(26, 75)(27, 74)(28, 73)(29, 52,
30, 51)(31, 50, 32, 49)(33, 34)(35, 36)(37, 94, 38, 95)(39, 96, 40, 93)(41,
42)(43, 44)(45, 97, 46, 98)(47, 99, 48, 100)(57, 91, 59, 89)(58, 90, 60, 92)(65,
117, 66, 118)(67, 119, 68, 120)(77, 109, 79, 111)(78, 112, 80, 110)(81, 86, 82,
85)(83, 88, 84, 87)(101, 106, 102, 105)(103, 108, 104, 107)(121, 122)(123,
132)(124, 131)(125, 130)(126, 129)(127, 128)(145, 148)(146, 147)(149, 156)(150,
155)(151, 154)(152, 153)(157, 217)(158, 218)(159, 219)(160, 220)(161, 221)(162,
222)(163, 223)(164, 224)(165, 225)(166, 226)(167, 227)(168, 228)(169, 209, 175,
215)(170, 208, 176, 214)(171, 207, 177, 213)(172, 206, 178, 212)(173, 205, 179,
211)(174, 216, 180, 210)(181, 188)(182, 187)(183, 186)(184, 185)(189, 192)(190,
191)(193, 230, 199, 236)(194, 231, 200, 237)(195, 232, 201, 238)(196, 233, 202,
239)(197, 234, 203, 240)(198, 235, 204, 229) (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: (5, 7)(6, 8)(13, 14)(15, 16)(17, 20)(18, 19)(25, 27)(26, 28)(33, 34)(35,
36)(37, 40)(38, 39)(45, 48)(46, 47)(53, 56)(54, 55)(65, 68)(66, 67)(73, 76)(74,
75)(145, 151)(146, 152)(147, 153)(148, 154)(149, 155)(150, 156)(157, 163)(158,
164)(159, 165)(160, 166)(161, 167)(162, 168)
c: (49, 50)(51, 52)(69, 70)(71, 72)(89, 90)(91, 92)(93, 96)(94, 95)(109,
110)(111, 112)(113, 116)(114, 115)(205, 211)(206, 212)(207, 213)(208, 214)(209,
215)(210, 216)
d: (45, 46)(47, 48)(49, 50)(51, 52)(65, 66)(67, 68)(69, 70)(71, 72)(85, 86)(87,
88)(89, 91)(90, 92)(93, 96)(94, 95)(105, 106)(107, 108)(109, 111)(110, 112)(113,
116)(114, 115)(193, 199)(194, 200)(195, 201)(196, 202)(197, 203)(198, 204)(205,
211)(206, 212)(207, 213)(208, 214)(209, 215)(210, 216)
e: (1, 2)(3, 4)(13, 16)(14, 15)(21, 22)(23, 24)(33, 36)(34, 35)(41, 44)(42,
43)(61, 64)(62, 63)(133, 139)(134, 140)(135, 141)(136, 142)(137, 143)(138,
144)
f: (5, 6)(7, 8)(17, 20)(18, 19)(25, 26)(27, 28)(37, 40)(38, 39)(45, 48)(46,
47)(65, 68)(66, 67)(157, 163)(158, 164)(159, 165)(160, 166)(161, 167)(162,
168)
g: (2, 4)(5, 37, 8, 38)(6, 40, 7, 39)(9, 36, 10, 35)(11, 34, 12, 33)(13, 31, 14,
32)(15, 29, 16, 30)(17, 27, 18, 26)(19, 25, 20, 28)(22, 24)(41, 72, 42, 71)(43,
70, 44, 69)(45, 65)(46, 66)(47, 67)(48, 68)(49, 63, 50, 64)(51, 61, 52, 62)(53,
59, 55, 57)(54, 60, 56, 58)(73, 77, 75, 79)(74, 78, 76, 80)(81, 114, 83,
116)(82, 113, 84, 115)(85, 112, 88, 111)(86, 109, 87, 110)(89, 105, 90, 108)(91,
107, 92, 106)(93, 101, 95, 103)(94, 102, 96, 104)(97, 98, 99, 100)(117, 118,
119, 120)(121, 139)(122, 140)(123, 141)(124, 142)(125, 143)(126, 144)(127,
133)(128, 134)(129, 135)(130, 136)(131, 137)(132, 138)(145, 180, 151, 174)(146,
179, 152, 173)(147, 178, 153, 172)(148, 177, 154, 171)(149, 176, 155, 170)(150,
175, 156, 169)(157, 165)(158, 164)(159, 163)(160, 162)(166, 168)(181, 209, 187,
215)(182, 208, 188, 214)(183, 207, 189, 213)(184, 206, 190, 212)(185, 205, 191,
211)(186, 216, 192, 210)(193, 197)(194, 196)(198, 204)(199, 203)(200, 202)(217,
236, 223, 230)(218, 235, 224, 229)(219, 234, 225, 240)(220, 233, 226, 239)(221,
232, 227, 238)(222, 231, 228, 237)
h: (53, 54)(55, 56)(73, 74)(75, 76)(93, 94)(95, 96)(97, 100)(98, 99)(113,
114)(115, 116)(117, 120)(118, 119)(217, 223)(218, 224)(219, 225)(220, 226)(221,
227)(222, 228)
m: (41, 42)(43, 44)(61, 62)(63, 64)(81, 84)(82, 83)(85, 88)(86, 87)(101,
104)(102, 103)(105, 108)(106, 107)(181, 187)(182, 188)(183, 189)(184, 190)(185,
191)(186, 192)
n1: (9, 10)(11, 12)(17, 18)(19, 20)(29, 30)(31, 32)(37, 38)(39, 40)(57, 60)(58,
59)(77, 80)(78, 79)(169, 175)(170, 176)(171, 177)(172, 178)(173, 179)(174,
180)
a1: (57, 58)(59, 60)(77, 78)(79, 80)(81, 82)(83, 84)(97, 98)(99, 100)(101,
102)(103, 104)(117, 118)(119, 120)(229, 235)(230, 236)(231, 237)(232, 238)(233,
239)(234, 240)
b1: (1, 5)(2, 8)(3, 7)(4, 6)(9, 40)(10, 39)(11, 38)(12, 37)(13, 33)(14, 36)(15,
35)(16, 34)(17, 32)(18, 31)(19, 30)(20, 29)(21, 25)(22, 28)(23, 27)(24, 26)(41,
76)(42, 75)(43, 74)(44, 73)(45, 72, 46, 71)(47, 70, 48, 69)(49, 67, 50, 68)(51,
65, 52, 66)(53, 64)(54, 63)(55, 62)(56, 61)(77, 79)(78, 80)(81, 118)(82,
117)(83, 120)(84, 119)(85, 116, 86, 113)(87, 114, 88, 115)(89, 109, 91, 111)(90,
112, 92, 110)(93, 107, 96, 108)(94, 106, 95, 105)(97, 103)(98, 104)(99,
101)(100, 102)(121, 163)(122, 164)(123, 165)(124, 166)(125, 167)(126, 168)(127,
157)(128, 158)(129, 159)(130, 160)(131, 161)(132, 162)(133, 151)(134, 152)(135,
153)(136, 154)(137, 155)(138, 156)(139, 145)(140, 146)(141, 147)(142, 148)(143,
149)(144, 150)(169, 174)(170, 173)(171, 172)(175, 180)(176, 179)(177, 178)(181,
221)(182, 220)(183, 219)(184, 218)(185, 217)(186, 228)(187, 227)(188, 226)(189,
225)(190, 224)(191, 223)(192, 222)(193, 209, 199, 215)(194, 208, 200, 214)(195,
207, 201, 213)(196, 206, 202, 212)(197, 205, 203, 211)(198, 216, 204, 210)(229,
230)(231, 240)(232, 239)(233, 238)(234, 237)(235, 236)
C4[ 240, 149 ]
240
-1 121 122 139 140
-2 121 122 133 134
-3 133 134 127 128
-4 127 128 139 140
-5 145 146 163 164
-6 145 146 157 158
-7 157 158 151 152
-8 151 152 163 164
-9 176 122 123 175
-10 122 123 169 170
-11 169 170 128 129
-12 176 128 129 175
-13 137 138 152 153
-14 146 147 137 138
-15 143 144 146 147
-16 143 144 152 153
-17 176 177 161 162
-18 170 171 161 162
-19 167 168 170 171
-20 176 177 167 168
-21 143 124 125 142
-22 124 125 136 137
-23 136 137 130 131
-24 143 130 131 142
-25 166 167 148 149
-26 148 149 160 161
-27 154 155 160 161
-28 154 155 166 167
-29 178 179 125 126
-30 125 126 172 173
-31 132 172 173 131
-32 132 178 179 131
-33 155 134 156 135
-34 134 135 149 150
-35 149 150 140 141
-36 155 156 140 141
-37 179 158 180 159
-38 158 159 173 174
-39 165 173 174 164
-40 165 179 180 164
-41 187 188 138 139
-42 181 138 182 139
-43 133 144 181 182
-44 187 133 144 188
-45 199 200 162 163
-46 193 194 162 163
-47 157 168 193 194
-48 199 200 157 168
-49 123 211 124 212
-50 123 124 205 206
-51 205 129 206 130
-52 211 212 129 130
-53 223 147 224 148
-54 147 148 217 218
-55 154 217 218 153
-56 154 223 224 153
-57 235 236 171 172
-58 171 172 229 230
-59 177 178 229 230
-60 177 178 235 236
-61 135 190 136 191
-62 135 136 184 185
-63 184 141 185 142
-64 190 191 141 142
-65 202 159 203 160
-66 159 160 196 197
-67 165 166 196 197
-68 165 166 202 203
-69 126 214 127 215
-70 209 126 127 208
-71 121 132 209 208
-72 121 132 214 215
-73 226 150 227 151
-74 220 221 150 151
-75 220 221 145 156
-76 145 156 226 227
-77 238 239 174 175
-78 232 233 174 175
-79 232 233 169 180
-80 169 180 238 239
-81 182 237 183 238
-82 231 232 182 183
-83 231 188 232 189
-84 188 189 237 238
-85 187 200 201 186
-86 187 194 195 186
-87 181 192 194 195
-88 200 201 181 192
-89 198 199 212 213
-90 198 199 206 207
-91 193 204 206 207
-92 212 213 193 204
-93 210 211 224 225
-94 210 211 218 219
-95 205 216 218 219
-96 224 225 205 216
-97 222 223 236 237
-98 231 222 223 230
-99 231 217 228 230
-100 236 237 217 228
-101 185 229 240 186
-102 234 235 185 186
-103 234 191 235 192
-104 191 192 229 240
-105 203 204 183 184
-106 198 183 184 197
-107 198 189 190 197
-108 189 190 203 204
-109 215 216 195 196
-110 209 210 195 196
-111 209 210 201 202
-112 201 202 215 216
-113 227 228 207 208
-114 221 222 207 208
-115 221 222 213 214
-116 213 214 227 228
-117 220 239 240 219
-118 220 233 234 219
-119 233 234 225 226
-120 225 226 239 240
-121 1 2 71 72
-122 1 2 9 10
-123 49 50 9 10
-124 22 49 50 21
-125 22 29 30 21
-126 69 70 29 30
-127 3 69 4 70
-128 11 12 3 4
-129 11 12 51 52
-130 23 24 51 52
-131 23 24 31 32
-132 71 72 31 32
-133 44 2 3 43
-134 33 34 2 3
-135 33 34 61 62
-136 22 23 61 62
-137 22 23 13 14
-138 13 14 41 42
-139 1 4 41 42
-140 1 35 36 4
-141 35 36 63 64
-142 24 63 64 21
-143 24 15 16 21
-144 44 15 16 43
-145 5 6 75 76
-146 14 15 5 6
-147 14 15 53 54
-148 25 26 53 54
-149 34 35 25 26
-150 34 35 73 74
-151 7 73 8 74
-152 13 16 7 8
-153 55 56 13 16
-154 55 56 27 28
-155 33 36 27 28
-156 33 36 75 76
-157 47 48 6 7
-158 37 38 6 7
-159 66 37 38 65
-160 66 26 27 65
-161 26 27 17 18
-162 45 46 17 18
-163 45 46 5 8
-164 5 39 40 8
-165 67 68 39 40
-166 67 68 25 28
-167 25 28 19 20
-168 47 48 19 20
-169 11 79 80 10
-170 11 18 19 10
-171 57 58 18 19
-172 57 58 30 31
-173 38 39 30 31
-174 77 78 38 39
-175 77 12 78 9
-176 12 17 9 20
-177 59 60 17 20
-178 59 60 29 32
-179 37 29 40 32
-180 79 80 37 40
-181 88 42 43 87
-182 81 82 42 43
-183 81 82 105 106
-184 105 62 106 63
-185 101 102 62 63
-186 101 102 85 86
-187 44 41 85 86
-188 44 83 84 41
-189 83 84 107 108
-190 61 107 64 108
-191 103 104 61 64
-192 88 103 104 87
-193 46 47 91 92
-194 46 47 86 87
-195 110 86 87 109
-196 66 110 67 109
-197 66 67 106 107
-198 89 90 106 107
-199 45 89 90 48
-200 88 45 48 85
-201 88 111 112 85
-202 111 68 112 65
-203 68 105 108 65
-204 91 92 105 108
-205 50 51 95 96
-206 90 91 50 51
-207 90 91 113 114
-208 113 70 114 71
-209 110 111 70 71
-210 110 111 93 94
-211 49 93 94 52
-212 89 92 49 52
-213 89 92 115 116
-214 69 115 72 116
-215 112 69 72 109
-216 112 95 96 109
-217 55 99 100 54
-218 55 94 95 54
-219 94 95 117 118
-220 117 74 118 75
-221 114 115 74 75
-222 114 115 97 98
-223 56 53 97 98
-224 56 93 96 53
-225 93 96 119 120
-226 73 119 76 120
-227 113 116 73 76
-228 99 100 113 116
-229 101 58 59 104
-230 99 58 59 98
-231 99 82 83 98
-232 78 79 82 83
-233 78 79 118 119
-234 102 103 118 119
-235 57 102 103 60
-236 100 57 60 97
-237 100 81 84 97
-238 77 80 81 84
-239 77 80 117 120
-240 101 104 117 120
0