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