Graph forms
for C4 [ 216, 100 ] =
BGCG(UG(ATD[108,30]);K1;{2,3})
[Home] [Table] [Glossary]
[Families]
On this page are computer-accessible forms for the graph C4[ 216, 100 ] =
BGCG(UG(ATD[108,30]);K1;{2,3}).
(I) Following is a form readable by MAGMA:
g:=Graph<216|{ {104, 111}, {103, 111}, {98, 114}, {101, 113}, {105, 125}, {101,
112}, {105, 127}, {102, 127}, {101, 127}, {94, 126}, {86, 119}, {83, 113}, {84,
125}, {66, 110}, {84, 120}, {67, 110}, {83, 125}, {65, 110}, {79, 123}, {67,
118}, {69, 112}, {70, 122}, {71, 122}, {68, 123}, {77, 114}, {59, 123}, {60,
124}, {58, 123}, {54, 117}, {49, 117}, {56, 124}, {51, 117}, {41, 110}, {49,
118}, {57, 113}, {51, 122}, {52, 125}, {56, 113}, {61, 116}, {39, 109}, {51,
120}, {59, 112}, {35, 111}, {60, 112}, {34, 115}, {45, 127}, {38, 114}, {39,
114}, {32, 118}, {53, 109}, {33, 120}, {45, 119}, {43, 119}, {47, 115}, {41,
116}, {46, 115}, {42, 116}, {51, 109}, {50, 109}, {25, 121}, {28, 124}, {31,
126}, {27, 121}, {30, 124}, {17, 119}, {30, 121}, {31, 120}, {31, 118}, {16,
126}, {27, 117}, {26, 116}, {17, 126}, {15, 121}, {3, 122}, {20, 111}, {14,
115}, {29, 157}, {44, 172}, {39, 167}, {58, 186}, {76, 205}, {8, 138}, {49,
179}, {37, 167}, {9, 138}, {30, 157}, {12, 143}, {78, 205}, {19, 151}, {77,
201}, {79, 202}, {8, 142}, {11, 141}, {60, 186}, {80, 214}, {55, 176}, {78,
201}, {46, 166}, {93, 213}, {62, 182}, {7, 142}, {50, 187}, {24, 145}, {57,
176}, {59, 178}, {2, 136}, {89, 211}, {49, 187}, {38, 172}, {33, 171}, {3, 136},
{92, 215}, {88, 211}, {61, 182}, {63, 180}, {66, 201}, {68, 207}, {53, 185},
{68, 200}, {26, 151}, {90, 215}, {88, 213}, {40, 165}, {66, 207}, {69, 200}, {5,
139}, {89, 215}, {32, 174}, {25, 151}, {23, 152}, {90, 213}, {64, 207}, {10,
154}, {87, 199}, {40, 184}, {61, 173}, {4, 149}, {53, 164}, {41, 184}, {65,
208}, {9, 155}, {54, 164}, {44, 190}, {57, 171}, {70, 212}, {45, 190}, {5, 145},
{85, 193}, {33, 181}, {24, 140}, {17, 133}, {32, 181}, {59, 174}, {12, 154},
{48, 166}, {28, 138}, {78, 216}, {6, 145}, {43, 188}, {20, 131}, {56, 175}, {2,
154}, {55, 175}, {37, 189}, {25, 129}, {17, 137}, {13, 149}, {6, 158}, {3, 155},
{72, 209}, {79, 214}, {1, 155}, {94, 196}, {50, 168}, {41, 179}, {26, 128}, {13,
151}, {4, 158}, {57, 163}, {14, 149}, {38, 189}, {29, 134}, {23, 140}, {18,
137}, {58, 161}, {81, 202}, {40, 180}, {90, 198}, {87, 203}, {3, 158}, {89,
196}, {86, 203}, {16, 142}, {42, 180}, {37, 187}, {10, 149}, {36, 132}, {22,
183}, {36, 133}, {30, 191}, {25, 187}, {27, 184}, {98, 193}, {47, 140}, {96,
196}, {6, 163}, {45, 136}, {19, 182}, {100, 194}, {35, 132}, {108, 203}, {107,
204}, {14, 167}, {106, 195}, {36, 141}, {15, 166}, {47, 133}, {108, 198}, {55,
157}, {1, 170}, {96, 203}, {44, 135}, {15, 163}, {62, 146}, {4, 169}, {107,
198}, {54, 155}, {18, 191}, {63, 146}, {4, 170}, {105, 199}, {13, 163}, {5,
170}, {104, 199}, {103, 200}, {46, 129}, {34, 141}, {24, 183}, {13, 189}, {54,
134}, {9, 184}, {97, 208}, {52, 134}, {98, 208}, {2, 177}, {22, 165}, {60, 143},
{18, 166}, {36, 144}, {48, 133}, {9, 191}, {34, 148}, {7, 191}, {28, 164}, {18,
171}, {42, 147}, {62, 135}, {19, 169}, {7, 188}, {106, 209}, {16, 171}, {8,
180}, {52, 136}, {35, 159}, {22, 170}, {63, 131}, {1, 188}, {31, 162}, {20,
169}, {2, 188}, {55, 137}, {61, 131}, {8, 183}, {92, 156}, {75, 138}, {93, 156},
{67, 129}, {93, 159}, {67, 128}, {71, 132}, {82, 145}, {10, 206}, {91, 159},
{21, 209}, {82, 150}, {11, 206}, {104, 173}, {83, 150}, {20, 209}, {68, 129},
{69, 128}, {77, 139}, {97, 167}, {95, 153}, {86, 144}, {7, 192}, {99, 164}, {73,
142}, {76, 139}, {16, 216}, {101, 173}, {92, 148}, {5, 204}, {100, 173}, {11,
194}, {74, 131}, {84, 158}, {6, 205}, {107, 160}, {100, 175}, {88, 147}, {64,
139}, {85, 153}, {95, 147}, {91, 150}, {12, 194}, {1, 206}, {91, 148}, {86,
153}, {21, 197}, {98, 178}, {87, 134}, {99, 178}, {21, 199}, {95, 141}, {80,
130}, {74, 159}, {22, 192}, {23, 192}, {91, 140}, {75, 156}, {79, 152}, {23,
207}, {29, 197}, {65, 153}, {21, 204}, {94, 132}, {11, 208}, {89, 130}, {73,
146}, {14, 210}, {102, 186}, {78, 146}, {15, 210}, {10, 212}, {29, 195}, {27,
197}, {24, 198}, {12, 210}, {19, 204}, {28, 195}, {26, 197}, {64, 160}, {72,
168}, {81, 177}, {43, 202}, {102, 135}, {82, 176}, {100, 135}, {65, 165}, {64,
165}, {92, 185}, {71, 162}, {75, 174}, {40, 206}, {83, 181}, {47, 200}, {73,
174}, {42, 194}, {106, 130}, {104, 128}, {74, 162}, {32, 201}, {96, 137}, {72,
161}, {56, 210}, {93, 183}, {90, 176}, {63, 213}, {75, 161}, {73, 162}, {85,
190}, {74, 161}, {81, 186}, {82, 185}, {33, 205}, {99, 143}, {95, 179}, {62,
211}, {94, 179}, {84, 185}, {97, 143}, {108, 130}, {70, 169}, {71, 168}, {39,
215}, {48, 192}, {66, 178}, {69, 181}, {76, 189}, {108, 157}, {103, 150}, {106,
152}, {37, 214}, {107, 152}, {96, 147}, {43, 216}, {77, 190}, {44, 216}, {53,
193}, {38, 211}, {97, 148}, {85, 160}, {52, 193}, {34, 212}, {50, 196}, {35,
212}, {103, 144}, {88, 175}, {87, 160}, {70, 177}, {46, 214}, {80, 168}, {58,
195}, {105, 144}, {72, 177}, {48, 202}, {76, 182}, {80, 172}, {102, 154}, {81,
172}, {99, 156} }>;
(II) A more general form is to represent the graph as the orbit of {104, 111}
under the group generated by the following permutations:
a: (1, 2, 3)(4, 10, 70)(5, 12, 71)(6, 11, 72)(7, 45, 54)(8, 44, 53)(9, 43,
52)(13, 34, 20)(14, 35, 19)(15, 36, 21)(16, 85, 28)(17, 87, 30)(18, 86, 29)(22,
102, 51)(23, 101, 49)(24, 100, 50)(25, 47, 104)(26, 46, 103)(27, 48, 105)(31,
64, 60)(32, 66, 59)(33, 65, 58)(37, 91, 61)(38, 92, 63)(39, 93, 62)(40, 81,
84)(41, 79, 83)(42, 80, 82)(55, 96, 108)(56, 94, 107)(57, 95, 106)(67, 68,
69)(73, 77, 99)(74, 76, 97)(75, 78, 98)(88, 89, 90)(109, 183, 135)(110, 123,
181)(111, 151, 115)(112, 118, 207)(113, 179, 152)(114, 156, 146)(116, 214,
150)(117, 192, 127)(119, 134, 191)(120, 165, 186)(121, 133, 199)(122, 170,
154)(124, 126, 160)(125, 184, 202)(128, 129, 200)(130, 176, 147)(131, 189,
148)(132, 204, 210)(136, 155, 188)(137, 203, 157)(138, 216, 193)(139, 143,
162)(140, 173, 187)(141, 209, 163)(142, 190, 164)(144, 197, 166)(145, 194,
168)(149, 212, 169)(153, 195, 171)(158, 206, 177)(159, 182, 167)(161, 205,
208)(172, 185, 180)(174, 201, 178)(175, 196, 198)(211, 215, 213) (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, 40, 3, 22)(4, 7, 10, 9)(5, 43, 11, 54)(6, 48, 12, 27)(8, 70)(13, 18, 14,
30)(16, 34, 28, 19)(17, 97, 29, 76)(20, 73, 35, 75)(21, 78, 36, 99)(23, 102, 41,
84)(24, 81, 42, 51)(25, 57, 46, 56)(26, 33, 47, 60)(31, 91, 58, 61)(32, 103, 59,
104)(37, 55)(38, 96, 39, 108)(44, 95, 53, 107)(45, 65, 52, 64)(49, 82, 79,
100)(50, 90, 80, 88)(62, 94, 92, 106)(63, 71, 93, 72)(66, 105)(67, 83, 68,
101)(77, 86, 98, 87)(109, 198, 172, 147)(110, 125, 207, 127)(111, 174)(112, 128,
181, 200)(113, 129)(114, 203)(115, 124, 151, 171)(116, 120, 140, 186)(117, 145,
202, 194)(118, 150, 123, 173)(119, 208, 134, 139)(121, 163, 166, 210)(122, 183,
177, 180)(126, 148, 195, 182)(130, 211, 196, 215)(131, 162, 159, 161)(132, 156,
209, 146)(133, 143, 197, 205)(135, 179, 185, 152)(136, 165)(137, 167, 157,
189)(138, 169, 142, 212)(141, 164, 204, 216)(144, 178, 199, 201)(149, 191)(153,
193, 160, 190)(154, 184, 158, 192)(155, 170, 188, 206)(168, 213)(175, 187, 176,
214)
c: (1, 4, 13, 25, 49, 31, 16, 7)(2, 5, 14, 26, 50, 32, 17, 8)(3, 6, 15, 27, 51,
33, 18, 9)(10, 19, 37, 67, 94, 73, 43, 22)(11, 20, 38, 68, 95, 74, 44, 23)(12,
21, 39, 69, 96, 75, 45, 24)(28, 52, 82, 56, 29, 53, 83, 55)(30, 54, 84, 57)(34,
61, 80, 66, 36, 63, 81, 64)(35, 62, 79, 65)(40, 70, 76, 46, 41, 71, 78, 48)(42,
72, 77, 47)(58, 85, 91, 100, 106, 98, 103, 88)(59, 86, 93, 102, 107, 97, 104,
89)(60, 87, 92, 101, 108, 99, 105, 90)(109, 181, 137, 138, 136, 145, 210,
197)(110, 132, 146, 202, 165, 212, 182, 214)(111, 211, 123, 153, 159, 135, 152,
208)(112, 203, 156, 127, 198, 143, 199, 215)(113, 157, 164, 125, 176, 124, 134,
185)(114, 200, 147, 161, 190, 140, 194, 209)(115, 116, 168, 201, 133, 180, 177,
139)(117, 120, 171, 191, 155, 158, 163, 121)(118, 126, 142, 188, 170, 149, 151,
187)(119, 183, 154, 204, 167, 128, 196, 174)(122, 205, 166, 184)(129, 179, 162,
216, 192, 206, 169, 189)(130, 178, 144, 213, 186, 160, 148, 173)(131, 172, 207,
141)(150, 175, 195, 193)
C4[ 216, 100 ]
216
-1 155 188 170 206
-2 154 177 188 136
-3 122 155 136 158
-4 158 169 170 149
-5 145 170 204 139
-6 145 158 205 163
-7 188 191 192 142
-8 180 138 183 142
-9 155 191 138 184
-10 154 212 149 206
-11 194 206 141 208
-12 143 154 210 194
-13 189 149 151 163
-14 210 167 115 149
-15 121 166 210 163
-16 126 171 216 142
-17 133 126 137 119
-18 166 191 137 171
-19 169 182 204 151
-20 209 111 169 131
-21 209 199 204 197
-22 165 170 192 183
-23 192 140 152 207
-24 198 145 183 140
-25 121 187 129 151
-26 116 128 151 197
-27 121 117 184 197
-28 124 138 195 164
-29 134 157 195 197
-30 121 124 157 191
-31 126 118 162 120
-32 201 181 118 174
-33 181 171 205 120
-34 212 115 148 141
-35 132 111 212 159
-36 132 133 144 141
-37 187 167 189 214
-38 189 211 114 172
-39 167 114 215 109
-40 165 180 184 206
-41 110 179 116 184
-42 147 180 116 194
-43 188 202 216 119
-44 135 190 172 216
-45 190 136 127 119
-46 166 115 214 129
-47 133 200 115 140
-48 133 166 202 192
-49 187 179 117 118
-50 187 168 196 109
-51 122 117 109 120
-52 134 125 136 193
-53 193 185 109 164
-54 155 134 117 164
-55 176 157 137 175
-56 210 113 124 175
-57 176 113 171 163
-58 123 161 195 186
-59 112 123 178 174
-60 143 112 124 186
-61 116 182 173 131
-62 211 135 146 182
-63 146 180 213 131
-64 165 160 139 207
-65 110 165 153 208
-66 110 178 201 207
-67 110 128 118 129
-68 123 200 129 207
-69 112 200 181 128
-70 122 177 212 169
-71 132 122 168 162
-72 209 177 168 161
-73 146 162 174 142
-74 159 161 162 131
-75 156 138 161 174
-76 189 182 139 205
-77 190 201 114 139
-78 146 201 205 216
-79 123 202 214 152
-80 168 214 172 130
-81 177 202 172 186
-82 176 145 150 185
-83 113 125 181 150
-84 125 158 185 120
-85 190 160 193 153
-86 144 203 119 153
-87 199 134 203 160
-88 211 147 213 175
-89 211 215 130 196
-90 176 198 213 215
-91 148 159 150 140
-92 156 148 215 185
-93 156 213 159 183
-94 132 179 126 196
-95 179 147 141 153
-96 147 137 203 196
-97 143 167 148 208
-98 178 114 193 208
-99 143 156 178 164
-100 135 194 173 175
-101 112 113 127 173
-102 154 135 127 186
-103 111 144 200 150
-104 111 199 128 173
-105 144 199 125 127
-106 209 195 130 152
-107 198 160 204 152
-108 198 157 203 130
-109 39 50 51 53
-110 66 67 41 65
-111 35 103 104 20
-112 101 69 59 60
-113 56 57 101 83
-114 77 38 39 98
-115 34 46 14 47
-116 26 61 41 42
-117 27 49 51 54
-118 67 49 31 32
-119 45 17 86 43
-120 33 51 84 31
-121 25 15 27 30
-122 3 70 71 51
-123 68 79 58 59
-124 56 60 28 30
-125 83 105 84 52
-126 16 17 94 31
-127 45 101 102 105
-128 67 69 26 104
-129 67 46 68 25
-130 89 80 106 108
-131 61 63 74 20
-132 35 36 71 94
-133 36 47 48 17
-134 29 52 54 87
-135 44 100 102 62
-136 45 2 3 52
-137 55 17 18 96
-138 28 8 9 75
-139 77 5 64 76
-140 23 24 47 91
-141 11 34 36 95
-142 16 7 73 8
-143 99 12 60 97
-144 36 103 105 86
-145 24 5 82 6
-146 78 62 73 63
-147 88 95 96 42
-148 34 91 92 97
-149 13 14 4 10
-150 91 103 82 83
-151 13 25 26 19
-152 23 79 106 107
-153 95 85 86 65
-154 12 2 102 10
-155 1 3 9 54
-156 99 92 93 75
-157 55 29 30 108
-158 3 4 6 84
-159 35 91 93 74
-160 85 107 64 87
-161 58 72 74 75
-162 71 73 74 31
-163 13 57 15 6
-164 99 28 53 54
-165 22 40 64 65
-166 46 15 48 18
-167 14 37 39 97
-168 80 71 50 72
-169 4 70 19 20
-170 22 1 4 5
-171 33 57 16 18
-172 44 80 81 38
-173 100 101 104 61
-174 59 73 75 32
-175 55 88 56 100
-176 55 57 90 82
-177 2 70 81 72
-178 66 99 59 98
-179 49 94 95 41
-180 40 8 63 42
-181 33 69 83 32
-182 61 62 19 76
-183 22 24 93 8
-184 27 40 41 9
-185 92 82 84 53
-186 58 102 81 60
-187 25 37 49 50
-188 1 2 7 43
-189 13 37 38 76
-190 44 77 45 85
-191 7 18 30 9
-192 22 23 48 7
-193 52 85 53 98
-194 11 12 100 42
-195 58 28 29 106
-196 89 50 94 96
-197 26 27 29 21
-198 24 90 107 108
-199 104 105 21 87
-200 68 47 69 103
-201 66 77 78 32
-202 79 48 81 43
-203 96 86 108 87
-204 5 19 107 21
-205 33 78 6 76
-206 11 1 40 10
-207 66 23 68 64
-208 11 97 65 98
-209 72 106 20 21
-210 12 56 14 15
-211 88 89 38 62
-212 34 35 70 10
-213 88 90 93 63
-214 46 79 80 37
-215 89 90 92 39
-216 44 78 16 43
0