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