Graph forms
for C4 [ 224, 23 ] =
PL(Curtain_28(1,14,1,9,23),[4^28,4^28])
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On this page are computer-accessible forms for the graph C4[ 224, 23 ] =
PL(Curtain_28(1,14,1,9,23),[4^28,4^28]).
(I) Following is a form readable by MAGMA:
g:=Graph<224|{ {107, 122}, {111, 122}, {108, 123}, {99, 123}, {96, 123}, {92,
124}, {86, 116}, {87, 116}, {85, 127}, {82, 126}, {95, 114}, {80, 126}, {75,
122}, {70, 116}, {71, 116}, {72, 123}, {77, 121}, {64, 117}, {71, 114}, {73,
124}, {69, 127}, {65, 126}, {56, 124}, {58, 126}, {50, 122}, {51, 127}, {52,
121}, {32, 114}, {33, 119}, {42, 124}, {34, 120}, {37, 127}, {40, 117}, {17,
113}, {25, 121}, {19, 114}, {16, 115}, {20, 119}, {18, 117}, {17, 121}, {21,
120}, {26, 117}, {1, 113}, {8, 120}, {7, 119}, {6, 118}, {3, 115}, {14, 125},
{2, 118}, {12, 120}, {5, 113}, {3, 118}, {1, 118}, {10, 125}, {4, 115}, {5,
125}, {9, 113}, {4, 125}, {8, 115}, {11, 119}, {56, 184}, {62, 190}, {30, 159},
{31, 158}, {52, 182}, {47, 172}, {88, 219}, {83, 208}, {51, 176}, {76, 200}, {2,
135}, {39, 162}, {37, 160}, {27, 157}, {34, 165}, {54, 177}, {14, 135}, {94,
215}, {22, 159}, {13, 135}, {87, 221}, {53, 191}, {11, 128}, {90, 209}, {50,
185}, {45, 166}, {76, 199}, {18, 158}, {59, 183}, {65, 205}, {15, 130}, {89,
212}, {33, 172}, {60, 177}, {63, 178}, {19, 157}, {88, 214}, {77, 195}, {26,
149}, {52, 187}, {32, 175}, {75, 196}, {54, 166}, {68, 212}, {21, 132}, {40,
185}, {70, 215}, {42, 184}, {94, 204}, {93, 207}, {15, 156}, {57, 170}, {69,
214}, {74, 222}, {95, 203}, {82, 198}, {81, 197}, {23, 130}, {48, 165}, {39,
178}, {37, 176}, {61, 168}, {67, 213}, {23, 128}, {53, 162}, {48, 167}, {9,
145}, {85, 205}, {38, 190}, {22, 143}, {29, 132}, {74, 211}, {4, 158}, {89,
195}, {71, 221}, {7, 156}, {44, 183}, {33, 186}, {13, 145}, {91, 199}, {49,
173}, {48, 172}, {57, 165}, {1, 156}, {38, 187}, {36, 185}, {30, 131}, {27,
134}, {3, 158}, {61, 160}, {80, 205}, {2, 156}, {84, 202}, {28, 130}, {25, 135},
{66, 220}, {69, 219}, {80, 206}, {78, 209}, {44, 140}, {108, 204}, {110, 207},
{35, 129}, {107, 201}, {41, 139}, {16, 179}, {67, 224}, {25, 189}, {111, 203},
{6, 163}, {106, 207}, {50, 151}, {43, 142}, {32, 133}, {60, 153}, {57, 159},
{111, 201}, {109, 203}, {62, 152}, {9, 174}, {100, 195}, {41, 142}, {12, 171},
{8, 160}, {101, 205}, {46, 134}, {60, 148}, {72, 224}, {10, 163}, {51, 154}, {5,
175}, {102, 204}, {23, 188}, {46, 133}, {12, 160}, {103, 203}, {35, 143}, {56,
148}, {47, 130}, {1, 175}, {105, 199}, {100, 202}, {20, 186}, {12, 163}, {43,
132}, {38, 137}, {62, 145}, {63, 144}, {13, 189}, {96, 208}, {49, 129}, {3,
178}, {29, 172}, {14, 188}, {108, 222}, {97, 211}, {49, 131}, {24, 171}, {36,
151}, {30, 173}, {6, 178}, {43, 159}, {41, 157}, {25, 173}, {21, 161}, {10,
191}, {53, 128}, {47, 154}, {107, 221}, {11, 188}, {38, 145}, {16, 167}, {57,
142}, {59, 140}, {45, 149}, {104, 208}, {5, 188}, {104, 209}, {31, 166}, {55,
142}, {29, 167}, {90, 224}, {4, 191}, {33, 154}, {24, 163}, {8, 179}, {17, 173},
{112, 204}, {29, 161}, {19, 175}, {36, 153}, {99, 222}, {52, 137}, {42, 151},
{55, 138}, {58, 132}, {59, 133}, {17, 174}, {112, 207}, {98, 221}, {97, 222},
{24, 167}, {22, 214}, {100, 164}, {91, 155}, {73, 137}, {2, 192}, {96, 162},
{84, 150}, {72, 139}, {86, 149}, {6, 194}, {92, 152}, {18, 215}, {81, 148}, {28,
217}, {74, 143}, {19, 213}, {26, 220}, {20, 210}, {110, 169}, {9, 193}, {90,
146}, {31, 215}, {30, 214}, {10, 194}, {68, 140}, {65, 139}, {99, 169}, {81,
155}, {15, 196}, {13, 193}, {44, 224}, {21, 217}, {20, 217}, {102, 171}, {101,
168}, {93, 144}, {14, 192}, {28, 210}, {27, 213}, {18, 220}, {78, 128}, {24,
200}, {101, 181}, {11, 218}, {90, 139}, {87, 134}, {91, 137}, {93, 143}, {23,
196}, {85, 129}, {28, 201}, {66, 151}, {77, 152}, {64, 150}, {94, 136}, {83,
133}, {76, 154}, {15, 216}, {109, 186}, {97, 182}, {95, 136}, {22, 193}, {16,
200}, {98, 186}, {84, 140}, {26, 194}, {66, 155}, {79, 150}, {31, 197}, {103,
189}, {80, 138}, {27, 192}, {65, 157}, {106, 182}, {7, 218}, {105, 180}, {78,
144}, {7, 216}, {75, 148}, {46, 206}, {109, 141}, {103, 134}, {108, 141}, {35,
193}, {112, 146}, {111, 141}, {104, 138}, {97, 131}, {54, 212}, {93, 190}, {76,
168}, {101, 129}, {81, 181}, {35, 198}, {58, 223}, {68, 161}, {79, 170}, {47,
201}, {53, 211}, {60, 218}, {63, 216}, {83, 180}, {67, 164}, {34, 202}, {92,
180}, {45, 197}, {54, 223}, {106, 131}, {71, 174}, {79, 166}, {64, 170}, {96,
138}, {87, 189}, {72, 162}, {59, 208}, {55, 219}, {92, 176}, {91, 183}, {85,
184}, {94, 179}, {88, 181}, {32, 206}, {102, 136}, {46, 192}, {63, 209}, {45,
194}, {103, 136}, {84, 187}, {61, 210}, {70, 169}, {88, 168}, {99, 147}, {78,
191}, {105, 152}, {98, 147}, {95, 174}, {41, 219}, {105, 155}, {100, 150}, {102,
149}, {39, 211}, {109, 153}, {43, 223}, {74, 190}, {70, 179}, {42, 220}, {50,
196}, {37, 210}, {83, 164}, {82, 165}, {49, 198}, {40, 223}, {66, 181}, {67,
180}, {82, 170}, {107, 147}, {89, 161}, {44, 213}, {55, 206}, {64, 185}, {73,
176}, {48, 202}, {106, 144}, {104, 146}, {61, 199}, {75, 177}, {34, 217}, {98,
153}, {51, 200}, {77, 182}, {40, 212}, {110, 146}, {58, 198}, {56, 197}, {112,
141}, {110, 147}, {89, 164}, {86, 171}, {62, 195}, {69, 184}, {36, 218}, {73,
183}, {79, 177}, {39, 216}, {86, 169}, {68, 187} }>;
(II) A more general form is to represent the graph as the orbit of {107, 122}
under the group generated by the following permutations:
a: (2, 5)(3, 9)(4, 13)(6, 17)(7, 32, 15, 19)(8, 22)(10, 25)(11, 46, 23, 27)(12,
30)(16, 35)(18, 38, 31, 62)(20, 55, 28, 41)(21, 43)(24, 49)(26, 52, 45, 77)(29,
58)(33, 80, 47, 65)(34, 57)(36, 59, 75, 67)(37, 69)(39, 95)(40, 68, 54, 89)(42,
73, 56, 92)(44, 60, 83, 50)(48, 82)(51, 85)(53, 103)(61, 88)(63, 71)(64, 84, 79,
100)(66, 91, 81, 105)(70, 93)(72, 109, 96, 111)(74, 94)(76, 101)(78, 87)(86,
106)(90, 98, 104, 107)(97, 102)(99, 112)(113, 118)(114, 216)(115, 193)(116,
144)(117, 187, 166, 195)(119, 206, 130, 157)(120, 159)(121, 194)(122, 224, 153,
208)(123, 141)(125, 135)(126, 172)(128, 134)(129, 200)(131, 171)(133, 196, 213,
218)(136, 211)(137, 197, 152, 220)(138, 201, 139, 186)(140, 177, 164, 185)(142,
217)(143, 179)(145, 158)(146, 147)(148, 180, 151, 183)(149, 182)(154, 205)(156,
175)(160, 214)(161, 223)(162, 203)(163, 173)(167, 198)(169, 207)(170, 202)(174,
178)(176, 184)(181, 199)(188, 192)(189, 191)(190, 215)(204, 222)(209, 221)(210,
219) (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: (37, 61)(42, 66)(51, 76)(56, 81)(69, 88)(73, 91)(85, 101)(92, 105)(124,
155)(127, 168)(176, 199)(181, 184)
c: (19, 32)(27, 46)(41, 55)(44, 59)(65, 80)(67, 83)(72, 96)(90, 104)(133,
213)(138, 139)(157, 206)(208, 224)
d: (21, 37)(29, 51)(34, 61)(40, 42)(43, 69)(48, 76)(54, 56)(57, 88)(58, 85)(64,
66)(68, 73)(79, 81)(82, 101)(84, 91)(89, 92)(100, 105)(117, 220)(120, 160)(124,
212)(126, 205)(127, 132)(129, 198)(137, 187)(140, 183)(142, 219)(148, 177)(150,
155)(151, 185)(152, 195)(154, 172)(159, 214)(161, 176)(164, 180)(165, 168)(166,
197)(167, 200)(170, 181)(184, 223)(199, 202)(210, 217)
e: (21, 34)(29, 48)(40, 64)(43, 57)(54, 79)(58, 82)(68, 84)(89, 100)(132,
165)(150, 212)(161, 202)(170, 223)
f: (1, 2)(5, 14)(9, 13)(17, 25)(19, 27)(32, 46)(71, 87)(95, 103)(113, 135)(114,
134)(174, 189)(175, 192)
g: (7, 15)(11, 23)(20, 28)(33, 47)(36, 50)(60, 75)(98, 107)(109, 111)(119,
130)(122, 153)(186, 201)(196, 218)
h: (38, 62)(44, 67)(52, 77)(59, 83)(68, 89)(73, 92)(84, 100)(91, 105)(137,
152)(140, 164)(180, 183)(187, 195)
m: (22, 35)(30, 49)(41, 65)(43, 58)(55, 80)(57, 82)(69, 85)(88, 101)(126,
142)(129, 214)(159, 198)(205, 219)
n1: (22, 38, 35, 62)(30, 52, 49, 77)(41, 44, 65, 67)(43, 68, 58, 89)(55, 59, 80,
83)(57, 84, 82, 100)(69, 73, 85, 92)(88, 91, 101, 105)(121, 173)(124, 184)(126,
164, 142, 140)(127, 176)(129, 152, 214, 137)(131, 182)(132, 161)(133, 206)(138,
208)(139, 224)(143, 190)(145, 193)(150, 170)(155, 181)(157, 213)(159, 187, 198,
195)(165, 202)(168, 199)(180, 219, 183, 205)(212, 223)
a1: (39, 63)(53, 78)(72, 90)(74, 93)(96, 104)(97, 106)(99, 110)(108, 112)(123,
146)(144, 211)(162, 209)(207, 222)
b1: (7, 15)(8, 18)(11, 23)(12, 26)(16, 31)(20, 50)(21, 40)(24, 45)(28, 36)(29,
54)(33, 75)(34, 64)(37, 42)(47, 60)(48, 79)(51, 56)(61, 66)(76, 81)(98,
107)(109, 111)(115, 158)(117, 120)(119, 196)(122, 186)(124, 176)(127, 184)(130,
218)(132, 223)(148, 154)(149, 171)(150, 202)(151, 210)(153, 201)(155, 199)(160,
220)(161, 212)(163, 194)(165, 170)(166, 167)(168, 181)(172, 177)(179, 215)(185,
217)(197, 200)
c1: (18, 31)(26, 45)(36, 60)(40, 54)(42, 56)(50, 75)(64, 79)(66, 81)(117,
166)(148, 151)(177, 185)(197, 220)
d1: (70, 94)(71, 95)(86, 102)(87, 103)(98, 109)(99, 108)(107, 111)(110,
112)(116, 136)(141, 147)(169, 204)(203, 221)
e1: (9, 17)(13, 25)(22, 30)(35, 49)(38, 52)(62, 77)(74, 97)(93, 106)(121,
145)(131, 143)(173, 193)(182, 190)
f1: (3, 6)(4, 10)(8, 12)(16, 24)(18, 26)(31, 45)(70, 86)(94, 102)(115, 163)(149,
215)(158, 194)(171, 179)
g1: (1, 3, 2, 6)(4, 14, 10, 5)(7, 63)(8, 13, 12, 9)(11, 78)(15, 39)(16, 25, 24,
17)(18, 27, 26, 19)(20, 93)(21, 22)(23, 53)(28, 74)(29, 30)(31, 46, 45, 32)(33,
106)(34, 35)(36, 90)(37, 38)(40, 41)(42, 44)(47, 97)(48, 49)(50, 72)(51, 52)(54,
55)(56, 59)(57, 58)(60, 104)(61, 62)(64, 65)(66, 67)(68, 69)(70, 87, 86, 71)(75,
96)(76, 77)(79, 80)(81, 83)(84, 85)(88, 89)(91, 92)(94, 103, 102, 95)(98,
110)(99, 107)(100, 101)(108, 111)(109, 112)(113, 115, 135, 163)(114, 215, 134,
149)(117, 157)(119, 144)(120, 193)(121, 200)(122, 123)(124, 183)(126, 170)(127,
187)(129, 202)(130, 211)(131, 172)(132, 159)(133, 197)(137, 176)(138, 177)(139,
185)(140, 184)(142, 223)(143, 217)(145, 160)(146, 153)(148, 208)(150, 205)(151,
224)(152, 199)(154, 182)(155, 180)(156, 178)(158, 192, 194, 175)(161, 214)(162,
196)(164, 181)(165, 198)(166, 206)(167, 173)(168, 195)(169, 221)(171, 174, 179,
189)(186, 207)(188, 191)(190, 210)(201, 222)(203, 204)(209, 218)(212, 219)(213,
220)
h1: (9, 19)(13, 27)(17, 32)(22, 41)(25, 46)(30, 55)(35, 65)(38, 67)(39, 63)(44,
62)(49, 80)(52, 83)(53, 78)(59, 77)(68, 89)(72, 93)(73, 92)(74, 90)(84, 100)(91,
105)(96, 106)(97, 104)(99, 110)(108, 112)(113, 175)(114, 174)(121, 133)(123,
207)(126, 198)(129, 205)(131, 138)(134, 189)(135, 192)(137, 180)(139, 143)(140,
195)(142, 159)(144, 162)(145, 213)(146, 222)(152, 183)(157, 193)(164, 187)(173,
206)(182, 208)(190, 224)(209, 211)(214, 219)
C4[ 224, 23 ]
224
-1 156 113 118 175
-2 156 135 192 118
-3 178 158 115 118
-4 125 158 191 115
-5 188 113 125 175
-6 178 194 118 163
-7 156 216 119 218
-8 179 115 160 120
-9 145 113 193 174
-10 125 191 194 163
-11 188 128 119 218
-12 160 171 163 120
-13 145 189 135 193
-14 188 135 125 192
-15 156 216 130 196
-16 167 200 179 115
-17 121 113 173 174
-18 220 158 215 117
-19 157 114 213 175
-20 210 217 119 186
-21 132 161 217 120
-22 143 159 214 193
-23 188 128 130 196
-24 167 200 171 163
-25 121 189 135 173
-26 220 149 117 194
-27 134 157 213 192
-28 210 201 217 130
-29 132 167 161 172
-30 159 214 173 131
-31 166 158 215 197
-32 133 114 206 175
-33 154 172 119 186
-34 165 202 217 120
-35 143 198 193 129
-36 151 185 218 153
-37 176 210 127 160
-38 187 145 190 137
-39 178 211 216 162
-40 212 223 117 185
-41 157 139 142 219
-42 220 124 151 184
-43 132 223 159 142
-44 213 224 183 140
-45 166 149 194 197
-46 133 134 192 206
-47 154 201 172 130
-48 165 167 202 172
-49 198 129 173 131
-50 122 151 185 196
-51 154 176 200 127
-52 121 187 137 182
-53 211 191 128 162
-54 166 177 212 223
-55 138 206 142 219
-56 124 148 184 197
-57 165 159 170 142
-58 132 198 223 126
-59 133 183 140 208
-60 177 148 218 153
-61 199 210 168 160
-62 145 190 195 152
-63 209 144 178 216
-64 170 117 150 185
-65 157 126 139 205
-66 220 155 181 151
-67 180 213 224 164
-68 187 212 161 140
-69 214 127 184 219
-70 179 169 116 215
-71 221 114 116 174
-72 123 224 139 162
-73 176 124 137 183
-74 143 211 222 190
-75 122 177 148 196
-76 154 199 200 168
-77 121 182 195 152
-78 209 144 191 128
-79 166 177 170 150
-80 126 138 205 206
-81 155 148 181 197
-82 165 198 126 170
-83 133 180 164 208
-84 187 202 150 140
-85 127 205 129 184
-86 169 116 149 171
-87 221 134 189 116
-88 168 181 214 219
-89 212 161 195 164
-90 209 146 224 139
-91 155 199 137 183
-92 176 124 180 152
-93 143 144 190 207
-94 179 136 204 215
-95 114 136 203 174
-96 123 138 162 208
-97 211 222 182 131
-98 221 147 153 186
-99 123 222 147 169
-100 202 150 195 164
-101 168 181 205 129
-102 136 149 171 204
-103 134 189 136 203
-104 209 146 138 208
-105 155 199 180 152
-106 144 182 207 131
-107 122 221 201 147
-108 123 222 204 141
-109 203 141 153 186
-110 146 147 169 207
-111 122 201 203 141
-112 146 204 141 207
-113 1 5 17 9
-114 71 95 19 32
-115 3 4 16 8
-116 70 71 86 87
-117 26 18 40 64
-118 1 2 3 6
-119 11 33 7 20
-120 12 34 8 21
-121 77 25 17 52
-122 111 50 107 75
-123 99 72 96 108
-124 56 92 73 42
-125 14 4 5 10
-126 58 80 82 65
-127 69 37 51 85
-128 11 23 78 53
-129 35 101 49 85
-130 23 47 15 28
-131 49 106 30 97
-132 58 29 21 43
-133 46 59 83 32
-134 46 103 27 87
-135 2 13 14 25
-136 102 103 94 95
-137 91 38 73 52
-138 55 80 104 96
-139 90 72 41 65
-140 44 68 59 84
-141 111 112 108 109
-142 55 57 41 43
-143 22 35 93 74
-144 78 93 106 63
-145 13 38 62 9
-146 110 90 112 104
-147 99 110 107 98
-148 56 81 60 75
-149 45 102 26 86
-150 100 79 84 64
-151 66 36 50 42
-152 77 92 105 62
-153 36 60 98 109
-154 33 47 51 76
-155 66 91 81 105
-156 1 2 15 7
-157 27 19 41 65
-158 3 4 18 31
-159 22 57 30 43
-160 12 37 61 8
-161 89 68 29 21
-162 39 72 96 53
-163 12 24 6 10
-164 67 89 100 83
-165 34 57 48 82
-166 45 79 31 54
-167 24 48 16 29
-168 88 101 61 76
-169 99 110 70 86
-170 57 79 82 64
-171 12 24 102 86
-172 33 47 48 29
-173 25 49 17 30
-174 71 17 95 9
-175 1 5 19 32
-176 37 92 51 73
-177 79 60 75 54
-178 3 6 39 63
-179 70 16 94 8
-180 67 92 83 105
-181 66 88 101 81
-182 77 106 52 97
-183 44 91 59 73
-184 56 69 85 42
-185 36 50 40 64
-186 33 20 98 109
-187 68 38 84 52
-188 11 23 14 5
-189 13 25 103 87
-190 38 93 62 74
-191 78 4 53 10
-192 2 46 14 27
-193 22 13 35 9
-194 45 26 6 10
-195 77 89 100 62
-196 23 15 50 75
-197 45 56 81 31
-198 35 58 49 82
-199 91 61 105 76
-200 24 16 51 76
-201 111 47 28 107
-202 34 100 48 84
-203 111 103 95 109
-204 112 102 94 108
-205 101 80 85 65
-206 55 46 80 32
-207 110 112 93 106
-208 59 104 83 96
-209 78 90 104 63
-210 37 28 61 20
-211 39 74 53 97
-212 89 68 40 54
-213 44 67 27 19
-214 22 88 69 30
-215 70 94 18 31
-216 15 39 7 63
-217 34 28 20 21
-218 11 36 60 7
-219 55 88 69 41
-220 66 26 18 42
-221 71 107 87 98
-222 99 74 97 108
-223 58 40 43 54
-224 44 67 90 72
0