Graph forms
for C4 [ 216, 97 ] =
BGCG(AMC(3,12,[1.1:9.10]);K1;6)
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On this page are computer-accessible forms for the graph C4[ 216, 97 ] =
BGCG(AMC(3,12,[1.1:9.10]);K1;6).
(I) Following is a form readable by MAGMA:
g:=Graph<216|{ {106, 123}, {96, 115}, {100, 114}, {99, 116}, {100, 115}, {104,
114}, {99, 120}, {76, 110}, {83, 112}, {74, 109}, {95, 120}, {87, 112}, {70,
110}, {68, 109}, {87, 126}, {83, 121}, {90, 113}, {67, 111}, {92, 113}, {91,
116}, {73, 121}, {77, 125}, {74, 123}, {79, 126}, {79, 125}, {64, 116}, {65,
118}, {71, 125}, {84, 110}, {65, 122}, {64, 124}, {82, 109}, {53, 117}, {54,
118}, {63, 127}, {48, 113}, {47, 109}, {43, 110}, {49, 116}, {57, 113}, {53,
124}, {62, 119}, {52, 126}, {35, 114}, {44, 125}, {37, 119}, {40, 122}, {32,
119}, {35, 122}, {38, 127}, {32, 123}, {37, 126}, {33, 127}, {42, 117}, {48,
111}, {28, 124}, {18, 112}, {12, 111}, {17, 117}, {22, 115}, {30, 120}, {26,
114}, {25, 115}, {23, 124}, {29, 118}, {21, 120}, {1, 111}, {24, 118}, {8, 121},
{1, 119}, {9, 112}, {12, 117}, {5, 121}, {2, 127}, {4, 122}, {5, 123}, {58,
186}, {69, 197}, {23, 150}, {37, 164}, {70, 199}, {73, 200}, {55, 181}, {90,
216}, {80, 210}, {44, 175}, {72, 203}, {34, 166}, {55, 179}, {56, 188}, {80,
212}, {16, 149}, {75, 206}, {47, 169}, {57, 191}, {9, 142}, {84, 211}, {30,
153}, {62, 185}, {3, 139}, {16, 152}, {6, 142}, {10, 128}, {19, 153}, {82, 216},
{8, 131}, {92, 215}, {88, 211}, {54, 189}, {11, 135}, {53, 185}, {46, 162}, {45,
161}, {26, 150}, {58, 182}, {21, 152}, {66, 207}, {38, 168}, {90, 212}, {71,
201}, {15, 128}, {88, 215}, {49, 190}, {33, 174}, {29, 146}, {55, 184}, {10,
154}, {30, 143}, {85, 196}, {56, 169}, {7, 149}, {93, 207}, {37, 183}, {17,
131}, {54, 164}, {36, 176}, {51, 167}, {44, 184}, {38, 178}, {59, 175}, {20,
129}, {91, 205}, {16, 135}, {44, 187}, {27, 140}, {61, 170}, {70, 209}, {38,
190}, {50, 170}, {2, 155}, {47, 182}, {41, 176}, {27, 130}, {56, 161}, {62,
167}, {9, 147}, {92, 198}, {89, 195}, {87, 205}, {39, 189}, {72, 210}, {1, 154},
{95, 196}, {46, 181}, {33, 186}, {11, 144}, {7, 155}, {29, 129}, {78, 210}, {2,
159}, {53, 168}, {48, 173}, {14, 147}, {3, 158}, {72, 213}, {14, 144}, {93,
195}, {59, 165}, {22, 182}, {102, 198}, {42, 138}, {41, 137}, {60, 156}, {50,
147}, {105, 200}, {57, 152}, {32, 130}, {3, 160}, {106, 201}, {102, 197}, {31,
188}, {18, 177}, {7, 164}, {7, 163}, {21, 177}, {26, 188}, {102, 192}, {28,
186}, {1, 166}, {19, 180}, {17, 182}, {11, 172}, {5, 162}, {4, 163}, {54, 145},
{6, 174}, {49, 153}, {40, 128}, {36, 140}, {28, 180}, {10, 162}, {103, 206},
{101, 207}, {106, 192}, {19, 184}, {103, 204}, {98, 201}, {12, 160}, {35, 143},
{58, 151}, {104, 197}, {2, 172}, {41, 135}, {15, 161}, {63, 145}, {36, 139},
{99, 204}, {43, 132}, {42, 133}, {41, 134}, {43, 155}, {45, 156}, {21, 167},
{32, 146}, {8, 187}, {52, 135}, {51, 128}, {46, 157}, {39, 148}, {25, 170}, {13,
190}, {60, 143}, {39, 147}, {98, 214}, {50, 134}, {5, 176}, {20, 161}, {61,
136}, {8, 190}, {46, 152}, {18, 164}, {14, 184}, {62, 137}, {3, 187}, {19, 171},
{39, 158}, {51, 138}, {63, 133}, {108, 214}, {16, 171}, {57, 130}, {34, 158},
{52, 136}, {35, 159}, {26, 167}, {20, 170}, {58, 132}, {50, 141}, {13, 205},
{101, 165}, {85, 149}, {23, 215}, {103, 165}, {95, 156}, {74, 142}, {81, 149},
{76, 137}, {107, 174}, {78, 139}, {22, 208}, {68, 130}, {6, 193}, {30, 214},
{71, 143}, {77, 133}, {89, 144}, {108, 166}, {27, 208}, {87, 156}, {4, 200},
{15, 195}, {65, 141}, {81, 157}, {91, 150}, {13, 194}, {20, 196}, {75, 154},
{96, 177}, {92, 141}, {85, 132}, {82, 131}, {25, 203}, {97, 179}, {77, 159}, {6,
213}, {85, 134}, {67, 151}, {107, 191}, {73, 157}, {4, 209}, {97, 180}, {96,
181}, {86, 131}, {83, 134}, {25, 204}, {17, 196}, {79, 154}, {66, 148}, {94,
136}, {31, 200}, {9, 209}, {97, 185}, {18, 202}, {12, 212}, {10, 211}, {107,
178}, {93, 132}, {14, 215}, {24, 194}, {105, 179}, {84, 142}, {29, 199}, {15,
212}, {24, 195}, {22, 205}, {66, 153}, {28, 192}, {99, 191}, {86, 138}, {23,
202}, {106, 183}, {27, 198}, {11, 213}, {84, 138}, {31, 193}, {24, 198}, {13,
211}, {64, 158}, {67, 157}, {74, 148}, {31, 192}, {94, 129}, {68, 155}, {79,
144}, {76, 172}, {68, 165}, {104, 137}, {98, 129}, {104, 139}, {52, 208}, {89,
189}, {34, 199}, {105, 140}, {71, 162}, {75, 174}, {40, 206}, {95, 185}, {75,
173}, {86, 177}, {69, 173}, {43, 194}, {101, 140}, {100, 141}, {93, 180}, {49,
216}, {76, 166}, {42, 193}, {81, 189}, {105, 133}, {77, 160}, {88, 181}, {78,
163}, {34, 204}, {102, 136}, {36, 203}, {63, 208}, {40, 216}, {89, 169}, {88,
168}, {56, 201}, {96, 145}, {94, 175}, {90, 171}, {59, 202}, {81, 160}, {82,
163}, {66, 176}, {91, 169}, {61, 206}, {101, 150}, {100, 151}, {98, 145}, {97,
146}, {65, 178}, {70, 179}, {94, 171}, {33, 214}, {64, 183}, {72, 191}, {80,
168}, {108, 148}, {103, 159}, {60, 197}, {107, 146}, {86, 175}, {78, 183}, {47,
213}, {48, 202}, {73, 178}, {108, 151}, {45, 209}, {51, 207}, {55, 203}, {59,
199}, {61, 193}, {80, 172}, {60, 194}, {83, 173}, {69, 187}, {45, 210}, {67,
188}, {69, 186} }>;
(II) A more general form is to represent the graph as the orbit of {106, 123}
under the group generated by the following permutations:
a: (2, 6)(3, 5)(7, 31)(8, 36)(9, 35)(10, 34)(11, 33)(12, 32)(13, 25)(14, 30)(15,
29)(16, 28)(17, 27)(18, 26)(20, 24)(21, 23)(37, 67)(38, 72)(39, 71)(40, 70)(41,
69)(42, 68)(43, 61)(44, 66)(45, 65)(46, 64)(47, 63)(48, 62)(49, 55)(50, 60)(51,
59)(52, 58)(53, 57)(54, 56)(73, 78)(74, 77)(75, 76)(79, 108)(80, 107)(81,
106)(82, 105)(83, 104)(84, 103)(85, 102)(86, 101)(87, 100)(88, 99)(89, 98)(90,
97)(91, 96)(92, 95)(93, 94)(109, 133)(110, 206)(111, 119)(112, 114)(113,
185)(115, 205)(116, 181)(117, 130)(118, 161)(120, 215)(121, 139)(122, 209)(123,
160)(124, 152)(125, 148)(126, 151)(127, 213)(128, 199)(129, 195)(131, 140)(132,
136)(134, 197)(135, 186)(137, 173)(138, 165)(141, 156)(142, 159)(143, 147)(144,
214)(145, 169)(146, 212)(149, 192)(150, 177)(153, 184)(154, 166)(155, 193)(157,
183)(158, 162)(163, 200)(164, 188)(167, 202)(168, 191)(170, 194)(171, 180)(172,
174)(175, 207)(176, 187)(178, 210)(179, 216)(182, 208)(189, 201)(190, 203)(196,
198)(204, 211) (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, 37, 7, 43, 13, 49, 19, 55, 25, 61, 31, 67)(2, 60, 8, 66, 14, 72, 20, 42,
26, 48, 32, 54)(3, 41, 9, 47, 15, 53, 21, 59, 27, 65, 33, 71)(4, 58, 10, 64, 16,
70, 22, 40, 28, 46, 34, 52)(5, 39, 11, 45, 17, 51, 23, 57, 29, 63, 35, 69)(6,
56, 12, 62, 18, 68, 24, 38, 30, 44, 36, 50)(73, 108, 79, 78, 85, 84, 91, 90, 97,
96, 103, 102)(74, 89, 80, 95, 86, 101, 92, 107, 98, 77, 104, 83)(75, 106, 81,
76, 87, 82, 93, 88, 99, 94, 105, 100)(109, 195, 168, 120, 175, 140, 141, 174,
201, 160, 137, 112)(110, 205, 216, 180, 181, 204, 136, 200, 151, 154, 183,
149)(111, 119, 164, 155, 194, 190, 153, 184, 203, 170, 193, 188)(113, 146, 145,
159, 197, 121, 148, 144, 210, 196, 138, 150)(114, 173, 123, 189, 172, 156, 131,
207, 215, 191, 129, 133)(115, 206, 192, 157, 166, 126, 163, 132, 211, 116, 171,
179)(117, 167, 202, 130, 118, 127, 143, 187, 176, 147, 213, 161)(122, 186, 162,
158, 135, 209, 182, 128, 124, 152, 199, 208)(125, 139, 134, 142, 169, 212, 185,
177, 165, 198, 178, 214)
c: (1, 2, 24, 19, 5, 6, 22, 23, 3, 4, 20, 21)(7, 15, 30, 32, 11, 13, 28, 36, 9,
17, 26, 34)(8, 31, 25, 18, 12, 35, 29, 16, 10, 33, 27, 14)(37, 80, 60, 97, 41,
84, 58, 101, 39, 82, 56, 99)(38, 102, 55, 83, 42, 100, 59, 81, 40, 98, 57,
79)(43, 93, 66, 74, 47, 91, 64, 78, 45, 95, 62, 76)(44, 73, 61, 96, 48, 77, 65,
94, 46, 75, 63, 92)(49, 106, 72, 87, 53, 104, 70, 85, 51, 108, 68, 89)(50, 86,
67, 103, 54, 90, 71, 107, 52, 88, 69, 105)(109, 169, 116, 183, 210, 156, 185,
137, 110, 132, 207, 148)(111, 159, 118, 171, 162, 174, 208, 215, 187, 200, 170,
177)(112, 117, 114, 199, 149, 128, 214, 130, 144, 190, 192, 203)(113, 125, 178,
136, 181, 173, 133, 141, 175, 157, 206, 145)(115, 202, 160, 122, 129, 152, 154,
127, 198, 184, 121, 193)(119, 172, 194, 180, 176, 142, 182, 150, 158, 163, 161,
120)(123, 213, 205, 124, 139, 209, 196, 167, 166, 155, 195, 153)(126, 168, 197,
179, 134, 138, 151, 165, 189, 216, 201, 191)(131, 188, 204, 164, 212, 143, 146,
135, 211, 186, 140, 147)
d: (1, 7)(2, 12)(3, 11)(4, 10)(5, 9)(6, 8)(13, 31)(14, 36)(15, 35)(16, 34)(17,
33)(18, 32)(19, 25)(20, 30)(21, 29)(22, 28)(23, 27)(24, 26)(38, 42)(39, 41)(43,
67)(44, 72)(45, 71)(46, 70)(47, 69)(48, 68)(49, 61)(50, 66)(51, 65)(52, 64)(53,
63)(54, 62)(56, 60)(57, 59)(73, 84)(74, 83)(75, 82)(76, 81)(77, 80)(78, 79)(85,
108)(86, 107)(87, 106)(88, 105)(89, 104)(90, 103)(91, 102)(92, 101)(93, 100)(94,
99)(95, 98)(96, 97)(109, 173)(110, 157)(111, 155)(112, 123)(113, 165)(114,
195)(115, 180)(116, 136)(117, 127)(118, 167)(119, 164)(120, 129)(121, 142)(122,
128)(124, 208)(125, 210)(126, 183)(130, 202)(131, 174)(132, 151)(133, 168)(134,
148)(135, 158)(137, 189)(138, 178)(139, 144)(140, 215)(141, 207)(143, 161)(145,
185)(146, 177)(147, 176)(149, 166)(150, 198)(152, 199)(153, 170)(154, 163)(156,
201)(159, 212)(160, 172)(162, 209)(169, 197)(171, 204)(175, 191)(179, 181)(182,
186)(184, 203)(187, 213)(188, 194)(190, 193)(192, 205)(196, 214)(200, 211)(206,
216)
e: (2, 23)(4, 19)(6, 21)(7, 14)(8, 36)(9, 16)(10, 32)(11, 18)(12, 34)(13,
27)(15, 29)(17, 25)(26, 33)(28, 35)(30, 31)(37, 79)(38, 101)(39, 81)(40, 97)(41,
83)(42, 99)(43, 92)(44, 78)(45, 94)(46, 74)(47, 96)(48, 76)(49, 105)(50, 85)(51,
107)(52, 87)(53, 103)(54, 89)(55, 82)(56, 98)(57, 84)(58, 100)(59, 80)(60,
102)(61, 95)(62, 75)(63, 91)(64, 77)(65, 93)(66, 73)(67, 108)(68, 88)(69,
104)(70, 90)(71, 106)(72, 86)(109, 181)(110, 113)(111, 166)(112, 135)(114,
186)(115, 182)(116, 133)(117, 204)(118, 195)(119, 154)(120, 193)(121, 176)(122,
180)(123, 162)(124, 159)(125, 183)(127, 150)(128, 146)(129, 161)(130, 211)(131,
203)(132, 141)(136, 156)(137, 173)(138, 191)(139, 187)(140, 190)(142, 152)(143,
192)(144, 164)(145, 169)(147, 149)(148, 157)(153, 200)(155, 215)(158, 160)(163,
184)(165, 168)(167, 174)(170, 196)(171, 209)(172, 202)(175, 210)(177, 213)(178,
207)(179, 216)(185, 206)(188, 214)(194, 198)(199, 212)(205, 208)
C4[ 216, 97 ]
216
-1 154 111 166 119
-2 155 159 127 172
-3 187 158 160 139
-4 209 122 200 163
-5 121 176 123 162
-6 213 193 174 142
-7 155 149 163 164
-8 121 187 190 131
-9 209 112 147 142
-10 154 211 128 162
-11 144 135 213 172
-12 111 212 160 117
-13 211 190 194 205
-14 144 147 215 184
-15 212 128 161 195
-16 135 149 171 152
-17 182 117 196 131
-18 177 112 202 164
-19 180 171 184 153
-20 170 161 129 196
-21 177 167 152 120
-22 115 182 205 208
-23 124 202 215 150
-24 198 194 118 195
-25 115 170 203 204
-26 188 167 114 150
-27 198 140 130 208
-28 124 180 192 186
-29 199 146 118 129
-30 143 214 120 153
-31 188 200 192 193
-32 123 146 119 130
-33 214 127 174 186
-34 166 199 158 204
-35 143 122 114 159
-36 176 203 139 140
-37 126 183 119 164
-38 178 168 190 127
-39 189 147 158 148
-40 122 128 216 206
-41 176 134 135 137
-42 133 138 193 117
-43 110 132 155 194
-44 187 125 184 175
-45 209 210 156 161
-46 157 181 162 152
-47 169 213 182 109
-48 111 113 202 173
-49 190 116 216 153
-50 134 147 170 141
-51 167 138 128 207
-52 135 136 126 208
-53 124 168 117 185
-54 145 189 118 164
-55 179 181 203 184
-56 188 201 169 161
-57 113 191 130 152
-58 132 182 151 186
-59 165 199 202 175
-60 143 156 194 197
-61 136 170 193 206
-62 167 137 119 185
-63 133 145 127 208
-64 124 158 116 183
-65 122 178 118 141
-66 176 148 207 153
-67 111 188 157 151
-68 165 155 130 109
-69 187 173 186 197
-70 110 209 199 179
-71 143 201 125 162
-72 210 191 213 203
-73 121 178 200 157
-74 123 148 109 142
-75 154 173 206 174
-76 110 166 137 172
-77 133 125 159 160
-78 210 139 183 163
-79 154 144 125 126
-80 210 168 212 172
-81 189 157 149 160
-82 216 163 109 131
-83 121 112 134 173
-84 110 211 138 142
-85 132 134 149 196
-86 177 138 131 175
-87 112 156 126 205
-88 211 168 181 215
-89 144 189 169 195
-90 113 212 171 216
-91 169 116 150 205
-92 198 113 215 141
-93 132 180 195 207
-94 136 171 129 175
-95 156 185 196 120
-96 177 145 115 181
-97 146 179 180 185
-98 145 201 214 129
-99 191 116 204 120
-100 114 115 151 141
-101 165 150 140 207
-102 198 136 192 197
-103 165 159 204 206
-104 114 137 139 197
-105 133 200 179 140
-106 123 201 192 183
-107 178 146 191 174
-108 166 148 214 151
-109 68 47 82 74
-110 70 84 43 76
-111 1 12 67 48
-112 83 18 9 87
-113 57 90 48 92
-114 100 35 26 104
-115 22 100 25 96
-116 99 91 49 64
-117 12 17 42 53
-118 24 29 54 65
-119 1 37 62 32
-120 99 95 30 21
-121 5 83 73 8
-122 35 4 40 65
-123 5 106 74 32
-124 23 28 53 64
-125 44 77 79 71
-126 79 37 52 87
-127 33 2 38 63
-128 15 40 51 10
-129 94 29 20 98
-130 57 68 27 32
-131 82 17 8 86
-132 58 93 85 43
-133 77 105 63 42
-134 50 83 41 85
-135 11 16 41 52
-136 102 61 94 52
-137 104 62 41 76
-138 51 84 42 86
-139 78 3 36 104
-140 101 36 27 105
-141 100 92 50 65
-142 6 84 74 9
-143 35 60 71 30
-144 11 89 79 14
-145 63 96 54 98
-146 29 107 97 32
-147 14 39 50 9
-148 66 39 74 108
-149 81 16 7 85
-150 23 101 91 26
-151 67 100 58 108
-152 46 57 16 21
-153 66 49 19 30
-154 1 79 75 10
-155 2 68 7 43
-156 45 60 95 87
-157 67 46 81 73
-158 34 3 39 64
-159 77 2 35 103
-160 77 12 3 81
-161 45 56 15 20
-162 46 5 71 10
-163 78 4 82 7
-164 37 7 18 54
-165 68 101 59 103
-166 1 34 108 76
-167 26 51 62 21
-168 88 80 38 53
-169 56 89 47 91
-170 25 50 61 20
-171 90 16 94 19
-172 11 2 80 76
-173 69 48 83 75
-174 33 6 107 75
-175 44 59 94 86
-176 66 36 5 41
-177 18 96 86 21
-178 38 73 107 65
-179 55 70 105 97
-180 93 28 19 97
-181 55 88 46 96
-182 22 47 58 17
-183 78 37 106 64
-184 44 55 14 19
-185 62 95 53 97
-186 33 58 69 28
-187 44 3 69 8
-188 56 67 26 31
-189 89 81 39 54
-190 13 38 49 8
-191 99 57 72 107
-192 102 28 106 31
-193 6 61 31 42
-194 13 24 60 43
-195 89 24 15 93
-196 17 95 85 20
-197 69 102 60 104
-198 24 102 92 27
-199 34 59 70 29
-200 4 105 73 31
-201 56 71 106 98
-202 23 48 59 18
-203 55 25 36 72
-204 99 34 25 103
-205 22 13 91 87
-206 103 61 40 75
-207 66 101 93 51
-208 22 27 52 63
-209 45 4 70 9
-210 45 78 80 72
-211 88 13 84 10
-212 12 90 80 15
-213 11 47 6 72
-214 33 30 108 98
-215 88 23 14 92
-216 90 49 82 40
0