Graph forms
for C4 [ 216, 94 ] =
BGCG(AMC(12,3,[0.1:1.2]);K1;{2,3})
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On this page are computer-accessible forms for the graph C4[ 216, 94 ] =
BGCG(AMC(12,3,[0.1:1.2]);K1;{2,3}).
(I) Following is a form readable by MAGMA:
g:=Graph<216|{ {105, 121}, {104, 126}, {105, 126}, {98, 126}, {102, 121}, {93,
126}, {80, 116}, {67, 114}, {64, 114}, {70, 116}, {67, 116}, {69, 125}, {68,
125}, {75, 114}, {78, 116}, {66, 127}, {65, 127}, {77, 114}, {49, 113}, {59,
123}, {63, 127}, {48, 113}, {49, 112}, {61, 124}, {56, 122}, {62, 125}, {51,
119}, {57, 125}, {59, 127}, {62, 122}, {53, 112}, {54, 115}, {62, 123}, {58,
124}, {53, 124}, {36, 110}, {49, 123}, {48, 122}, {34, 110}, {59, 119}, {54,
123}, {52, 122}, {51, 124}, {56, 119}, {38, 117}, {37, 112}, {38, 112}, {34,
117}, {45, 117}, {42, 115}, {46, 119}, {43, 113}, {40, 115}, {45, 113}, {46,
115}, {14, 111}, {25, 120}, {15, 109}, {12, 111}, {9, 109}, {8, 109}, {11, 109},
{30, 118}, {28, 117}, {18, 120}, {28, 118}, {19, 120}, {24, 118}, {25, 118},
{11, 120}, {22, 110}, {22, 111}, {2, 121}, {21, 110}, {19, 111}, {4, 121}, {17,
145}, {87, 215}, {73, 201}, {70, 199}, {79, 206}, {77, 207}, {49, 178}, {91,
216}, {51, 176}, {69, 198}, {76, 207}, {52, 176}, {67, 198}, {75, 206}, {94,
216}, {9, 142}, {10, 141}, {78, 201}, {30, 150}, {53, 189}, {65, 201}, {4, 141},
{94, 215}, {71, 206}, {73, 192}, {4, 142}, {6, 141}, {47, 164}, {57, 178}, {75,
192}, {31, 147}, {84, 216}, {48, 189}, {68, 201}, {60, 178}, {89, 215}, {86,
216}, {28, 147}, {65, 206}, {72, 199}, {26, 139}, {91, 202}, {29, 143}, {90,
200}, {54, 164}, {19, 128}, {91, 200}, {55, 164}, {21, 134}, {5, 145}, {88,
204}, {41, 189}, {31, 138}, {95, 202}, {37, 176}, {29, 139}, {61, 171}, {6,
145}, {88, 207}, {87, 192}, {42, 189}, {39, 176}, {28, 139}, {23, 128}, {60,
171}, {6, 158}, {88, 192}, {61, 164}, {60, 166}, {86, 204}, {83, 200}, {26,
134}, {94, 194}, {83, 207}, {12, 145}, {47, 178}, {22, 139}, {32, 190}, {56,
166}, {1, 158}, {18, 141}, {8, 168}, {106, 202}, {100, 196}, {98, 194}, {42,
138}, {17, 177}, {20, 181}, {107, 202}, {100, 197}, {31, 190}, {30, 191}, {58,
155}, {29, 191}, {34, 128}, {13, 174}, {103, 196}, {102, 197}, {35, 128}, {16,
179}, {11, 175}, {97, 197}, {32, 132}, {27, 191}, {21, 177}, {13, 169}, {11,
174}, {96, 197}, {42, 143}, {16, 181}, {6, 160}, {100, 194}, {44, 138}, {32,
134}, {7, 161}, {25, 190}, {101, 194}, {55, 144}, {35, 132}, {33, 134}, {1,
169}, {34, 138}, {27, 179}, {23, 191}, {10, 162}, {9, 161}, {8, 160}, {61, 149},
{1, 168}, {97, 200}, {52, 157}, {50, 155}, {45, 132}, {5, 175}, {50, 152}, {37,
143}, {27, 177}, {20, 190}, {2, 169}, {48, 155}, {24, 179}, {16, 187}, {4, 175},
{59, 144}, {13, 161}, {96, 204}, {55, 155}, {40, 132}, {7, 170}, {56, 149}, {47,
130}, {15, 162}, {12, 161}, {44, 130}, {5, 170}, {99, 204}, {45, 130}, {32,
143}, {26, 181}, {7, 182}, {100, 213}, {51, 130}, {36, 150}, {47, 157}, {37,
150}, {52, 135}, {43, 152}, {58, 137}, {15, 187}, {44, 152}, {41, 157}, {39,
147}, {23, 162}, {50, 135}, {40, 157}, {20, 162}, {97, 215}, {46, 152}, {24,
174}, {62, 137}, {3, 187}, {17, 169}, {14, 182}, {63, 135}, {12, 181}, {1, 187},
{44, 150}, {41, 147}, {3, 185}, {10, 177}, {21, 174}, {60, 135}, {10, 182}, {14,
179}, {7, 185}, {8, 182}, {16, 175}, {106, 213}, {90, 154}, {5, 196}, {19, 210},
{17, 208}, {64, 129}, {93, 159}, {18, 209}, {105, 170}, {90, 153}, {87, 148},
{108, 168}, {89, 156}, {95, 154}, {13, 203}, {108, 170}, {89, 159}, {22, 208},
{82, 148}, {84, 146}, {3, 196}, {103, 160}, {70, 129}, {65, 137}, {95, 151},
{92, 148}, {25, 208}, {85, 156}, {27, 210}, {64, 137}, {88, 146}, {106, 160},
{74, 129}, {95, 148}, {30, 211}, {31, 210}, {78, 131}, {82, 159}, {77, 131},
{102, 168}, {92, 146}, {85, 154}, {86, 153}, {81, 129}, {103, 183}, {26, 203},
{107, 186}, {93, 140}, {68, 149}, {3, 209}, {107, 185}, {94, 140}, {75, 153},
{2, 209}, {74, 153}, {24, 205}, {93, 136}, {73, 156}, {67, 149}, {108, 186},
{97, 183}, {70, 144}, {74, 156}, {2, 213}, {71, 144}, {84, 131}, {18, 203}, {20,
205}, {89, 131}, {96, 186}, {83, 136}, {9, 213}, {101, 185}, {23, 203}, {85,
136}, {29, 195}, {91, 133}, {14, 209}, {104, 183}, {15, 208}, {35, 195}, {108,
140}, {71, 166}, {76, 173}, {77, 172}, {69, 167}, {103, 133}, {86, 180}, {53,
214}, {78, 173}, {79, 172}, {39, 195}, {71, 163}, {72, 172}, {80, 180}, {66,
167}, {107, 142}, {39, 193}, {106, 140}, {104, 142}, {99, 133}, {92, 186}, {82,
180}, {38, 193}, {66, 165}, {68, 163}, {43, 195}, {96, 136}, {36, 205}, {63,
214}, {66, 171}, {69, 172}, {81, 184}, {64, 171}, {92, 183}, {87, 188}, {76,
167}, {73, 165}, {105, 133}, {80, 188}, {84, 184}, {72, 165}, {85, 184}, {74,
167}, {81, 188}, {35, 205}, {72, 166}, {57, 214}, {76, 163}, {83, 188}, {36,
212}, {98, 146}, {55, 198}, {102, 151}, {33, 211}, {101, 151}, {81, 163}, {33,
210}, {50, 193}, {99, 151}, {33, 212}, {38, 211}, {80, 165}, {104, 158}, {54,
193}, {90, 173}, {79, 184}, {46, 214}, {98, 154}, {63, 198}, {40, 211}, {101,
158}, {79, 180}, {99, 159}, {41, 212}, {58, 199}, {57, 199}, {43, 212}, {82,
173} }>;
(II) A more general form is to represent the graph as the orbit of {105, 121}
under the group generated by the following permutations:
a: (1, 10, 19, 28, 37, 46, 55, 64, 73, 82, 91, 100)(2, 15, 27, 34, 39, 53, 59,
67, 74, 87, 99, 106, 3, 17, 23, 31, 38, 51, 63, 70, 75, 89, 95, 103)(4, 11, 24,
36, 43, 48, 62, 68, 76, 83, 96, 108, 7, 12, 26, 32, 40, 47, 60, 72, 79, 84, 98,
104)(5, 13, 20, 33, 45, 52, 57, 71, 77, 85, 92, 105, 9, 16, 21, 35, 41, 49, 56,
69, 81, 88, 93, 107)(6, 18, 25, 30, 44, 50, 58, 65, 78, 90, 97, 102, 8, 14, 22,
29, 42, 54, 61, 66, 80, 86, 94, 101)(109, 179, 110, 195, 189, 123, 149, 167,
188, 204, 140, 185, 145, 203, 190, 211, 130, 135, 199, 206, 131, 154, 183,
121)(111, 139, 143, 115, 164, 171, 165, 180, 216, 194, 158, 141, 120, 118, 150,
152, 155, 137, 201, 173, 200, 197, 168, 182)(112, 119, 198, 129, 192, 159, 202,
196, 169, 162, 210, 117, 176, 214, 144, 114, 156, 148, 133, 213, 187, 177, 128,
147)(113, 122, 125, 163, 207, 136, 186, 170, 161, 181, 134, 132, 157, 178, 166,
172, 184, 146, 126, 142, 175, 174, 205, 212)(116, 153, 215, 151, 160, 209, 208,
191, 138, 193, 124, 127) (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, 6, 3, 8)(4, 5, 7, 9)(10, 100)(11, 105, 12, 107)(13, 104, 16, 108)(14,
106, 18, 103)(15, 102, 17, 101)(19, 91)(20, 96, 21, 98)(22, 95, 25, 99)(23, 97,
27, 94)(24, 93, 26, 92)(28, 82)(29, 87, 30, 89)(31, 86, 34, 90)(32, 88, 36,
85)(33, 84, 35, 83)(37, 73)(38, 78, 39, 80)(40, 77, 43, 81)(41, 79, 45, 76)(42,
75, 44, 74)(46, 64)(47, 69, 48, 71)(49, 68, 52, 72)(50, 70, 54, 67)(51, 66, 53,
65)(56, 60, 57, 62)(58, 59, 61, 63)(109, 121, 145, 185)(110, 154, 190, 204)(111,
202, 120, 133)(112, 201, 176, 165)(113, 163, 157, 172)(114, 152, 129, 115)(116,
193)(117, 173, 147, 180)(118, 159, 139, 148)(119, 171, 214, 137)(122, 166, 178,
125)(123, 149, 135, 199)(124, 127)(126, 181, 186, 174)(128, 200, 210, 216)(130,
167, 189, 206)(131, 195, 188, 211)(132, 207, 212, 184)(134, 146, 205, 136)(138,
153)(140, 203, 183, 179)(141, 196, 182, 213)(142, 175, 170, 161)(143, 192, 150,
156)(144, 164, 198, 155)(151, 208)(158, 187, 168, 169)(160, 209)(162, 197, 177,
194)(191, 215)
c: (1, 2, 3)(4, 5, 6)(7, 8, 9)(10, 11, 12)(13, 14, 15)(16, 17, 18)(19, 20,
21)(22, 23, 24)(25, 26, 27)(28, 29, 30)(31, 32, 33)(34, 35, 36)(37, 38, 39)(40,
41, 42)(43, 44, 45)(46, 47, 48)(49, 50, 51)(52, 53, 54)(55, 56, 57)(58, 59,
60)(61, 62, 63)(64, 65, 66)(67, 68, 69)(70, 71, 72)(73, 74, 75)(76, 77, 78)(79,
80, 81)(82, 83, 84)(85, 86, 87)(88, 89, 90)(91, 92, 93)(94, 95, 96)(97, 98,
99)(100, 101, 102)(103, 104, 105)(106, 107, 108)(109, 161, 182)(110, 128,
205)(111, 162, 174)(112, 193, 176)(113, 152, 130)(114, 201, 167)(115, 157,
189)(116, 163, 172)(117, 195, 150)(118, 139, 191)(119, 178, 155)(120, 181,
177)(121, 196, 158)(122, 214, 164)(123, 135, 124)(125, 198, 149)(126, 133,
183)(127, 171, 137)(129, 206, 165)(131, 173, 207)(132, 212, 138)(134, 210,
190)(136, 216, 148)(140, 202, 186)(141, 175, 145)(142, 170, 160)(143, 211,
147)(144, 166, 199)(146, 159, 200)(151, 197, 194)(153, 192, 156)(154, 204,
215)(168, 213, 185)(169, 209, 187)(179, 208, 203)(180, 188, 184)
C4[ 216, 94 ]
216
-1 187 168 158 169
-2 121 209 169 213
-3 187 209 185 196
-4 121 141 142 175
-5 145 170 196 175
-6 145 158 160 141
-7 170 182 161 185
-8 168 160 182 109
-9 213 161 109 142
-10 177 182 162 141
-11 174 109 120 175
-12 111 145 181 161
-13 169 203 161 174
-14 209 111 179 182
-15 187 162 109 208
-16 187 179 181 175
-17 177 145 169 208
-18 209 203 141 120
-19 111 210 128 120
-20 190 181 205 162
-21 110 177 134 174
-22 110 111 139 208
-23 191 203 128 162
-24 179 205 118 174
-25 190 118 120 208
-26 134 181 203 139
-27 177 210 179 191
-28 147 117 139 118
-29 143 191 139 195
-30 211 191 150 118
-31 210 190 147 138
-32 132 143 134 190
-33 210 134 211 212
-34 110 138 117 128
-35 132 128 205 195
-36 110 212 150 205
-37 143 176 112 150
-38 112 211 193 117
-39 176 147 193 195
-40 132 211 157 115
-41 189 157 212 147
-42 143 189 115 138
-43 113 212 195 152
-44 138 150 130 152
-45 132 113 117 130
-46 115 214 119 152
-47 178 157 130 164
-48 122 155 189 113
-49 112 123 178 113
-50 155 135 193 152
-51 176 124 119 130
-52 176 122 135 157
-53 112 189 124 214
-54 123 115 193 164
-55 198 144 155 164
-56 122 166 149 119
-57 199 178 125 214
-58 155 199 124 137
-59 144 123 127 119
-60 166 178 135 171
-61 124 149 171 164
-62 122 123 125 137
-63 198 135 214 127
-64 114 137 171 129
-65 201 137 127 206
-66 165 167 127 171
-67 198 114 116 149
-68 201 125 149 163
-69 198 167 125 172
-70 144 199 116 129
-71 144 166 206 163
-72 165 166 199 172
-73 165 156 201 192
-74 156 167 129 153
-75 114 192 206 153
-76 167 173 163 207
-77 114 172 207 131
-78 201 116 173 131
-79 180 172 184 206
-80 165 188 180 116
-81 188 129 184 163
-82 180 148 159 173
-83 188 200 136 207
-84 146 216 184 131
-85 154 156 136 184
-86 180 204 216 153
-87 188 148 192 215
-88 146 192 204 207
-89 156 159 215 131
-90 154 200 173 153
-91 133 200 202 216
-92 146 148 183 186
-93 136 126 159 140
-94 215 194 216 140
-95 154 202 148 151
-96 136 204 186 197
-97 200 215 183 197
-98 154 146 126 194
-99 133 159 204 151
-100 213 194 196 197
-101 158 194 151 185
-102 121 168 151 197
-103 133 160 183 196
-104 158 126 183 142
-105 121 133 126 170
-106 202 213 160 140
-107 202 185 142 186
-108 168 170 140 186
-109 11 15 8 9
-110 22 34 36 21
-111 22 12 14 19
-112 37 38 49 53
-113 45 48 49 43
-114 77 67 64 75
-115 46 40 42 54
-116 67 78 80 70
-117 34 45 38 28
-118 24 25 28 30
-119 56 46 59 51
-120 11 25 18 19
-121 2 102 4 105
-122 56 48 62 52
-123 59 49 62 54
-124 58 61 51 53
-125 57 68 69 62
-126 93 104 105 98
-127 66 59 63 65
-128 23 34 35 19
-129 70 81 74 64
-130 44 45 47 51
-131 77 78 89 84
-132 45 35 40 32
-133 99 91 103 105
-134 33 26 21 32
-135 60 50 52 63
-136 93 83 85 96
-137 58 62 64 65
-138 44 34 31 42
-139 22 26 28 29
-140 93 94 106 108
-141 4 6 18 10
-142 4 104 107 9
-143 37 29 42 32
-144 55 59 70 71
-145 12 5 6 17
-146 88 92 84 98
-147 28 39 41 31
-148 92 82 95 87
-149 56 67 68 61
-150 44 36 37 30
-151 99 101 102 95
-152 44 46 50 43
-153 90 74 75 86
-154 90 95 85 98
-155 55 58 48 50
-156 89 73 74 85
-157 47 40 41 52
-158 1 101 104 6
-159 99 89 82 93
-160 103 6 106 8
-161 12 13 7 9
-162 23 15 20 10
-163 68 81 71 76
-164 55 47 61 54
-165 66 80 72 73
-166 56 60 71 72
-167 66 69 74 76
-168 1 102 8 108
-169 1 2 13 17
-170 5 105 7 108
-171 66 60 61 64
-172 77 79 69 72
-173 78 90 82 76
-174 11 13 24 21
-175 11 4 5 16
-176 37 39 51 52
-177 27 17 10 21
-178 57 47 49 60
-179 24 14 16 27
-180 79 80 82 86
-181 12 26 16 20
-182 14 7 8 10
-183 92 103 104 97
-184 79 81 84 85
-185 101 3 7 107
-186 92 96 107 108
-187 1 3 15 16
-188 80 81 83 87
-189 48 41 42 53
-190 25 20 31 32
-191 23 27 29 30
-192 88 73 75 87
-193 38 39 50 54
-194 100 101 94 98
-195 35 39 29 43
-196 100 3 103 5
-197 100 102 96 97
-198 55 67 69 63
-199 57 58 70 72
-200 90 91 83 97
-201 78 68 73 65
-202 91 95 106 107
-203 23 13 26 18
-204 88 99 96 86
-205 24 35 36 20
-206 79 71 75 65
-207 77 88 83 76
-208 22 25 15 17
-209 2 3 14 18
-210 33 27 19 31
-211 33 38 40 30
-212 33 36 41 43
-213 100 2 106 9
-214 46 57 63 53
-215 89 94 97 87
-216 91 94 84 86
0