Graph forms
for C4 [ 240, 60 ] =
PL(Curtain_30(1,5,1,12,17),[4^30,12^10])
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On this page are computer-accessible forms for the graph C4[ 240, 60 ] =
PL(Curtain_30(1,5,1,12,17),[4^30,12^10]).
(I) Following is a form readable by MAGMA:
g:=Graph<240|{ {112, 125}, {108, 125}, {107, 127}, {103, 125}, {91, 122}, {89,
123}, {88, 126}, {83, 123}, {86, 125}, {83, 127}, {86, 122}, {81, 126}, {71,
127}, {48, 123}, {41, 123}, {43, 127}, {31, 126}, {28, 121}, {18, 122}, {20,
122}, {17, 126}, {9, 121}, {11, 124}, {1, 121}, {1, 124}, {4, 121}, {2, 124},
{3, 124}, {12, 140}, {75, 203}, {29, 157}, {86, 214}, {10, 139}, {45, 172}, {8,
138}, {60, 190}, {20, 150}, {92, 222}, {27, 152}, {32, 163}, {79, 204}, {80,
212}, {92, 216}, {15, 138}, {71, 194}, {65, 196}, {49, 180}, {93, 216}, {67,
197}, {77, 203}, {111, 233}, {64, 199}, {99, 228}, {102, 225}, {25, 145}, {62,
182}, {38, 174}, {97, 233}, {106, 226}, {2, 139}, {54, 191}, {15, 134}, {39,
174}, {37, 175}, {38, 172}, {87, 221}, {40, 163}, {68, 207}, {61, 182}, {95,
212}, {28, 144}, {69, 201}, {31, 147}, {35, 175}, {19, 158}, {74, 199}, {73,
196}, {72, 197}, {22, 155}, {44, 161}, {49, 188}, {77, 192}, {108, 225}, {87,
217}, {106, 228}, {42, 165}, {109, 226}, {7, 151}, {55, 167}, {8, 152}, {30,
142}, {52, 164}, {78, 222}, {40, 185}, {118, 231}, {58, 171}, {82, 195}, {94,
207}, {30, 140}, {71, 213}, {45, 191}, {22, 133}, {116, 231}, {93, 206}, {88,
204}, {61, 168}, {119, 226}, {64, 213}, {14, 153}, {65, 214}, {44, 187}, {35,
187}, {70, 222}, {81, 201}, {14, 151}, {66, 219}, {40, 177}, {11, 145}, {70,
220}, {3, 152}, {16, 139}, {26, 134}, {5, 152}, {23, 138}, {79, 210}, {91, 198},
{47, 177}, {66, 220}, {56, 167}, {90, 197}, {9, 169}, {33, 129}, {13, 172}, {74,
235}, {19, 178}, {23, 181}, {114, 208}, {26, 184}, {34, 128}, {37, 135}, {45,
143}, {96, 194}, {101, 199}, {104, 202}, {17, 178}, {29, 190}, {50, 145}, {100,
199}, {55, 147}, {74, 238}, {113, 213}, {5, 160}, {60, 153}, {35, 134}, {107,
206}, {113, 212}, {4, 162}, {60, 154}, {67, 228}, {103, 192}, {110, 198}, {20,
189}, {117, 220}, {100, 205}, {6, 172}, {10, 160}, {42, 128}, {102, 204}, {112,
218}, {28, 183}, {75, 224}, {59, 144}, {58, 145}, {112, 219}, {13, 161}, {120,
212}, {24, 181}, {69, 232}, {44, 129}, {111, 194}, {12, 162}, {56, 150}, {53,
155}, {98, 204}, {18, 189}, {63, 144}, {14, 190}, {27, 171}, {39, 151}, {51,
131}, {80, 224}, {1, 176}, {3, 178}, {18, 163}, {24, 169}, {2, 176}, {116, 198},
{57, 139}, {105, 219}, {10, 190}, {15, 187}, {32, 148}, {34, 150}, {51, 135},
{82, 230}, {101, 209}, {63, 138}, {120, 205}, {115, 198}, {84, 225}, {90, 239},
{6, 176}, {90, 236}, {5, 178}, {59, 140}, {7, 176}, {24, 175}, {41, 158}, {52,
131}, {85, 226}, {109, 218}, {36, 156}, {4, 189}, {115, 202}, {8, 177}, {16,
169}, {46, 151}, {47, 150}, {85, 236}, {21, 175}, {26, 160}, {85, 239}, {99,
217}, {108, 214}, {25, 162}, {118, 205}, {117, 206}, {62, 133}, {54, 141}, {1,
189}, {53, 137}, {103, 219}, {5, 184}, {62, 131}, {21, 168}, {29, 160}, {89,
228}, {9, 183}, {61, 131}, {57, 135}, {15, 177}, {23, 169}, {94, 224}, {104,
214}, {110, 208}, {33, 158}, {54, 137}, {36, 155}, {48, 143}, {50, 141}, {114,
205}, {16, 208}, {115, 179}, {77, 141}, {31, 223}, {39, 231}, {46, 238}, {48,
240}, {84, 148}, {104, 168}, {106, 170}, {29, 220}, {34, 227}, {41, 232}, {43,
234}, {21, 215}, {95, 157}, {101, 167}, {2, 193}, {30, 221}, {40, 235}, {78,
141}, {81, 146}, {87, 148}, {47, 235}, {119, 179}, {75, 143}, {96, 164}, {46,
235}, {25, 223}, {73, 143}, {43, 237}, {47, 233}, {21, 210}, {116, 179}, {65,
134}, {33, 230}, {73, 129}, {98, 170}, {110, 166}, {24, 209}, {75, 130}, {72,
129}, {65, 136}, {46, 231}, {82, 155}, {66, 136}, {10, 193}, {97, 170}, {102,
173}, {109, 166}, {25, 213}, {36, 232}, {67, 142}, {119, 186}, {80, 157}, {84,
153}, {93, 144}, {90, 149}, {98, 173}, {74, 154}, {113, 161}, {6, 215}, {63,
238}, {56, 233}, {12, 221}, {18, 195}, {77, 156}, {107, 186}, {53, 230}, {105,
186}, {11, 223}, {27, 207}, {28, 201}, {76, 153}, {54, 227}, {87, 130}, {53,
227}, {4, 211}, {69, 146}, {31, 200}, {80, 135}, {99, 180}, {17, 200}, {70,
159}, {57, 224}, {41, 240}, {96, 185}, {106, 179}, {13, 215}, {59, 225}, {30,
197}, {115, 168}, {69, 158}, {62, 229}, {49, 234}, {49, 237}, {64, 156}, {94,
130}, {72, 149}, {97, 188}, {13, 211}, {26, 196}, {98, 188}, {12, 211}, {66,
157}, {16, 240}, {58, 218}, {104, 136}, {86, 183}, {99, 130}, {105, 136}, {7,
229}, {64, 162}, {32, 195}, {70, 165}, {34, 193}, {78, 173}, {112, 147}, {36,
192}, {96, 132}, {33, 196}, {11, 237}, {71, 161}, {55, 209}, {83, 181}, {95,
185}, {111, 137}, {8, 239}, {120, 159}, {117, 146}, {68, 163}, {45, 202}, {81,
182}, {114, 149}, {50, 218}, {55, 223}, {79, 167}, {97, 137}, {43, 194}, {67,
170}, {57, 208}, {83, 186}, {51, 217}, {117, 159}, {68, 174}, {61, 215}, {56,
210}, {79, 165}, {100, 142}, {102, 140}, {14, 229}, {42, 193}, {111, 132}, {6,
234}, {38, 202}, {84, 184}, {89, 181}, {91, 183}, {7, 234}, {120, 149}, {89,
180}, {105, 132}, {3, 237}, {88, 182}, {110, 128}, {113, 159}, {76, 188}, {94,
174}, {35, 210}, {116, 133}, {63, 206}, {78, 191}, {92, 173}, {59, 201}, {114,
128}, {22, 229}, {119, 132}, {118, 133}, {72, 187}, {85, 166}, {27, 239}, {76,
184}, {37, 209}, {42, 222}, {19, 230}, {58, 207}, {73, 191}, {82, 164}, {93,
171}, {20, 227}, {52, 195}, {92, 171}, {76, 180}, {118, 142}, {100, 156}, {108,
148}, {9, 240}, {23, 238}, {50, 203}, {107, 146}, {48, 203}, {51, 200}, {95,
164}, {37, 217}, {60, 192}, {52, 200}, {17, 236}, {68, 185}, {32, 221}, {88,
165}, {91, 166}, {103, 154}, {22, 232}, {38, 216}, {109, 147}, {19, 236}, {39,
216}, {44, 211}, {101, 154} }>;
(II) A more general form is to represent the graph as the orbit of {112, 125}
under the group generated by the following permutations:
a: (1, 2)(3, 6)(4, 10)(5, 13)(7, 11)(8, 21)(9, 16)(12, 29)(14, 25)(15, 35)(17,
38)(18, 42)(19, 45)(20, 34)(22, 50)(23, 24)(26, 44)(27, 61)(28, 57)(30, 66)(31,
39)(32, 70)(33, 73)(36, 77)(37, 63)(40, 79)(41, 48)(43, 49)(46, 55)(47, 56)(51,
93)(52, 92)(53, 54)(58, 62)(59, 80)(60, 64)(65, 72)(67, 105)(68, 88)(69, 75)(71,
76)(74, 101)(78, 82)(81, 94)(83, 89)(84, 113)(85, 115)(86, 114)(87, 117)(90,
104)(91, 110)(95, 102)(96, 98)(97, 111)(99, 107)(100, 103)(106, 119)(108,
120)(109, 116)(112, 118)(121, 139)(122, 128)(124, 176)(125, 205)(126, 174)(127,
180)(129, 196)(130, 146)(131, 171)(132, 170)(133, 218)(134, 187)(135, 144)(136,
197)(138, 175)(140, 157)(141, 155)(142, 219)(143, 158)(145, 229)(147, 231)(148,
159)(149, 214)(151, 223)(152, 215)(153, 213)(154, 199)(156, 192)(160, 211)(161,
184)(162, 190)(163, 165)(164, 173)(166, 198)(167, 235)(168, 239)(172, 178)(177,
210)(179, 226)(182, 207)(183, 208)(185, 204)(186, 228)(188, 194)(189, 193)(191,
230)(195, 222)(200, 216)(201, 224)(202, 236)(203, 232)(206, 217)(209, 238)(212,
225)(220, 221)(234, 237) (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, 3)(2, 11)(4, 5)(6, 49)(7, 43)(8, 18, 19, 28)(9, 27, 20, 17)(10, 25)(12,
26)(13, 76)(14, 71)(15, 32, 33, 59)(16, 58, 34, 31)(21, 99, 45, 98)(22, 107, 46,
96)(23, 68, 53, 81)(24, 94, 54, 88)(29, 64)(30, 65)(35, 87, 73, 102)(36, 117,
74, 95)(37, 75, 78, 79)(38, 97, 61, 89)(39, 111, 62, 83)(40, 82, 69, 63)(41, 93,
47, 52)(42, 55, 57, 50)(44, 84)(48, 92, 56, 51)(60, 113)(66, 100)(67, 104)(70,
101, 80, 77)(72, 108)(85, 91)(86, 90)(103, 120)(105, 118)(106, 115)(109,
110)(112, 114)(116, 119)(121, 152, 189, 178)(122, 236, 183, 239)(123, 216, 233,
131)(125, 149)(126, 169, 207, 227)(127, 151, 194, 229)(128, 147, 208, 218)(129,
225, 187, 148)(130, 191, 204, 175)(132, 133, 186, 231)(134, 221, 196, 140)(135,
203, 222, 167)(136, 142)(137, 182, 181, 174)(138, 163, 230, 201)(139, 145, 193,
223)(141, 165, 209, 224)(143, 173, 210, 217)(144, 177, 195, 158)(146, 238, 185,
155)(150, 200, 240, 171)(153, 161)(154, 212, 192, 159)(156, 220, 199, 157)(160,
162)(164, 232, 206, 235)(168, 228, 202, 170)(172, 188, 215, 180)(176, 237)(184,
211)(190, 213)(197, 214)(198, 226)(205, 219)
c: (8, 19)(15, 33)(17, 27)(21, 45)(22, 46)(23, 41)(24, 48)(31, 58)(35, 73)(36,
74)(37, 75)(38, 61)(39, 62)(40, 82)(47, 53)(50, 55)(51, 94)(52, 68)(54, 56)(63,
69)(77, 101)(78, 79)(81, 93)(88, 92)(123, 181)(126, 171)(129, 187)(130,
217)(131, 174)(133, 231)(134, 196)(135, 224)(137, 233)(138, 158)(141, 167)(143,
175)(144, 201)(145, 223)(146, 206)(147, 218)(150, 227)(151, 229)(152, 178)(154,
192)(155, 235)(156, 199)(163, 195)(164, 185)(165, 222)(168, 202)(169, 240)(172,
215)(173, 204)(177, 230)(182, 216)(191, 210)(200, 207)(203, 209)(232, 238)(236,
239)
d: (3, 7)(5, 14)(6, 11)(8, 22)(13, 25)(15, 36)(17, 39)(19, 46)(21, 50)(23,
41)(24, 48)(26, 60)(27, 62)(31, 38)(33, 74)(35, 77)(37, 75)(40, 82)(44, 64)(45,
55)(47, 53)(51, 94)(52, 68)(54, 56)(58, 61)(63, 69)(65, 103)(72, 100)(73,
101)(78, 79)(81, 93)(85, 116)(88, 92)(90, 118)(104, 112)(109, 115)(123,
181)(124, 176)(125, 214)(126, 216)(129, 199)(130, 217)(131, 207)(133, 239)(134,
192)(135, 224)(136, 219)(137, 233)(138, 232)(141, 210)(142, 197)(143, 209)(144,
201)(145, 215)(146, 206)(147, 202)(149, 205)(150, 227)(151, 178)(152, 229)(153,
184)(154, 196)(155, 177)(156, 187)(158, 238)(160, 190)(161, 213)(162, 211)(163,
195)(164, 185)(165, 222)(166, 198)(167, 191)(168, 218)(169, 240)(171, 182)(172,
223)(173, 204)(174, 200)(175, 203)(179, 226)(230, 235)(231, 236)(234, 237)
e: (2, 4)(3, 18, 7, 28)(5, 32, 14, 59)(6, 9, 11, 20)(8, 52, 46, 81)(10, 12)(13,
16, 25, 34)(15, 51, 74, 88)(17, 40, 62, 63)(19, 68, 22, 93)(21, 24, 55, 56)(23,
31, 47, 61)(26, 87, 60, 102)(27, 82, 39, 69)(29, 30)(33, 94, 36, 92)(35, 37,
101, 79)(38, 41, 58, 53)(42, 44, 57, 64)(43, 91)(45, 48, 50, 54)(49, 86)(65, 99,
103, 98)(66, 67)(70, 72, 80, 100)(71, 110)(73, 75, 77, 78)(76, 108)(83, 109,
111, 115)(85, 96, 116, 107)(89, 112, 97, 104)(90, 95, 118, 117)(105, 106)(113,
114)(121, 124, 189, 176)(122, 234, 183, 237)(123, 218, 137, 202)(125, 188, 214,
180)(126, 177, 131, 238)(127, 166, 194, 198)(128, 161, 208, 213)(129, 224, 156,
222)(130, 192, 173, 196)(132, 179, 186, 226)(133, 206, 236, 185)(134, 217, 154,
204)(135, 199, 165, 187)(136, 228, 219, 170)(138, 200, 235, 182)(139, 162, 193,
211)(140, 160, 221, 190)(141, 191, 143, 203)(142, 220, 197, 157)(144, 178, 163,
229)(145, 227, 172, 240)(146, 239, 164, 231)(147, 233, 168, 181)(148, 153, 225,
184)(149, 212, 205, 159)(150, 215, 169, 223)(151, 201, 152, 195)(155, 216, 158,
207)(167, 210, 175, 209)(171, 230, 174, 232)
C4[ 240, 60 ]
240
-1 121 176 189 124
-2 176 124 193 139
-3 178 124 237 152
-4 121 189 211 162
-5 178 160 184 152
-6 176 234 215 172
-7 176 234 151 229
-8 177 138 239 152
-9 121 169 183 240
-10 190 160 193 139
-11 145 124 223 237
-12 221 211 140 162
-13 211 215 161 172
-14 190 151 229 153
-15 187 177 134 138
-16 169 139 240 208
-17 178 200 126 236
-18 122 189 195 163
-19 178 158 236 230
-20 122 189 150 227
-21 210 168 215 175
-22 133 155 232 229
-23 169 181 138 238
-24 209 169 181 175
-25 145 223 213 162
-26 134 160 184 196
-27 171 239 152 207
-28 121 144 201 183
-29 220 157 190 160
-30 221 140 142 197
-31 200 223 147 126
-32 221 148 195 163
-33 158 129 196 230
-34 193 128 150 227
-35 187 210 134 175
-36 155 232 156 192
-37 209 135 217 175
-38 202 172 216 174
-39 231 216 151 174
-40 177 235 163 185
-41 232 123 158 240
-42 165 222 193 128
-43 234 127 237 194
-44 187 211 161 129
-45 143 191 202 172
-46 231 235 238 151
-47 177 233 235 150
-48 143 123 203 240
-49 188 234 180 237
-50 145 203 141 218
-51 200 135 217 131
-52 200 195 131 164
-53 155 137 227 230
-54 191 137 227 141
-55 209 167 223 147
-56 210 167 233 150
-57 135 224 139 208
-58 145 171 207 218
-59 144 201 225 140
-60 154 190 192 153
-61 168 182 215 131
-62 133 182 229 131
-63 144 138 238 206
-64 199 156 213 162
-65 134 136 214 196
-66 220 157 136 219
-67 170 228 142 197
-68 207 174 163 185
-69 232 146 201 158
-70 165 220 222 159
-71 213 127 161 194
-72 187 149 129 197
-73 143 191 129 196
-74 154 199 235 238
-75 143 224 203 130
-76 188 180 184 153
-77 156 192 203 141
-78 222 191 173 141
-79 165 210 167 204
-80 135 157 212 224
-81 146 201 126 182
-82 155 195 164 230
-83 123 181 127 186
-84 148 225 184 153
-85 166 236 226 239
-86 122 125 214 183
-87 221 148 217 130
-88 165 126 182 204
-89 123 180 181 228
-90 236 149 239 197
-91 198 122 166 183
-92 222 171 216 173
-93 144 171 216 206
-94 224 130 174 207
-95 157 212 185 164
-96 132 194 185 164
-97 188 233 137 170
-98 188 170 204 173
-99 180 217 228 130
-100 199 156 205 142
-101 154 209 199 167
-102 225 204 140 173
-103 154 125 192 219
-104 168 136 202 214
-105 132 136 186 219
-106 179 170 226 228
-107 146 127 206 186
-108 125 148 214 225
-109 166 147 226 218
-110 198 166 128 208
-111 132 233 137 194
-112 125 147 218 219
-113 212 213 159 161
-114 149 128 205 208
-115 198 168 179 202
-116 198 231 133 179
-117 220 146 159 206
-118 231 133 205 142
-119 132 179 226 186
-120 212 159 149 205
-121 1 4 28 9
-122 91 18 20 86
-123 89 48 83 41
-124 11 1 2 3
-125 112 103 86 108
-126 88 81 17 31
-127 71 83 107 43
-128 110 34 114 42
-129 33 44 72 73
-130 99 94 75 87
-131 61 51 62 52
-132 111 105 96 119
-133 22 116 62 118
-134 35 15 26 65
-135 57 80 37 51
-136 66 104 105 65
-137 111 53 97 54
-138 23 15 8 63
-139 2 57 16 10
-140 12 102 59 30
-141 77 78 50 54
-142 67 100 30 118
-143 45 48 73 75
-144 59 93 28 63
-145 11 25 58 50
-146 69 81 117 107
-147 55 112 31 109
-148 84 108 32 87
-149 90 114 72 120
-150 34 56 47 20
-151 46 14 39 7
-152 3 5 27 8
-153 14 60 84 76
-154 101 103 60 74
-155 22 36 82 53
-156 77 100 36 64
-157 66 80 29 95
-158 33 69 19 41
-159 113 70 117 120
-160 26 5 29 10
-161 44 13 113 71
-162 12 25 4 64
-163 68 18 40 32
-164 82 95 52 96
-165 88 79 70 42
-166 110 91 85 109
-167 55 56 79 101
-168 104 115 61 21
-169 23 24 16 9
-170 67 106 97 98
-171 58 92 27 93
-172 45 13 38 6
-173 78 102 92 98
-174 68 38 39 94
-175 24 35 37 21
-176 1 2 6 7
-177 47 15 40 8
-178 3 5 17 19
-179 115 116 106 119
-180 99 89 49 76
-181 23 89 24 83
-182 88 81 61 62
-183 91 28 9 86
-184 26 5 84 76
-185 68 40 95 96
-186 83 105 107 119
-187 44 35 15 72
-188 49 97 76 98
-189 1 4 18 20
-190 14 60 29 10
-191 45 78 73 54
-192 77 36 103 60
-193 34 2 42 10
-194 111 71 96 43
-195 82 18 52 32
-196 33 26 73 65
-197 67 90 72 30
-198 110 91 115 116
-199 100 101 74 64
-200 17 51 52 31
-201 69 59 81 28
-202 45 38 104 115
-203 77 48 50 75
-204 88 79 102 98
-205 100 114 118 120
-206 93 117 63 107
-207 68 58 27 94
-208 110 57 114 16
-209 55 24 101 37
-210 56 35 79 21
-211 44 12 13 4
-212 80 113 95 120
-213 25 113 71 64
-214 104 86 108 65
-215 13 6 61 21
-216 92 38 93 39
-217 99 37 51 87
-218 112 58 50 109
-219 66 112 103 105
-220 66 70 29 117
-221 12 30 32 87
-222 78 70 92 42
-223 11 55 25 31
-224 57 80 94 75
-225 102 59 84 108
-226 106 85 119 109
-227 34 20 53 54
-228 99 67 89 106
-229 22 14 7 62
-230 33 82 19 53
-231 46 39 116 118
-232 22 36 69 41
-233 56 111 47 97
-234 49 6 7 43
-235 46 47 40 74
-236 90 17 19 85
-237 11 3 49 43
-238 23 46 63 74
-239 90 27 8 85
-240 48 16 41 9
0