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