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