Graph forms
for C4 [ 216, 92 ] =
BGCG(AMC(12,3,[0.1:2.2]);K1;{2,4})
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On this page are computer-accessible forms for the graph C4[ 216, 92 ] =
BGCG(AMC(12,3,[0.1:2.2]);K1;{2,4}).
(I) Following is a form readable by MAGMA:
g:=Graph<216|{ {107, 109}, {103, 109}, {99, 112}, {107, 127}, {106, 127}, {106,
125}, {101, 125}, {98, 127}, {106, 119}, {100, 121}, {97, 127}, {105, 119},
{102, 121}, {85, 117}, {81, 115}, {91, 121}, {85, 118}, {82, 118}, {93, 121},
{84, 112}, {80, 117}, {86, 115}, {94, 118}, {90, 115}, {90, 112}, {89, 117},
{91, 118}, {93, 112}, {76, 124}, {77, 124}, {68, 124}, {76, 117}, {77, 115},
{67, 124}, {49, 113}, {50, 114}, {48, 113}, {51, 114}, {57, 113}, {36, 110},
{58, 113}, {32, 110}, {48, 126}, {46, 126}, {42, 123}, {43, 122}, {40, 122},
{39, 116}, {33, 116}, {45, 123}, {34, 122}, {42, 114}, {33, 120}, {39, 126},
{33, 123}, {37, 126}, {41, 114}, {42, 116}, {36, 123}, {24, 120}, {12, 111}, {8,
109}, {31, 122}, {29, 120}, {9, 111}, {4, 109}, {30, 116}, {3, 111}, {20, 120},
{7, 119}, {6, 119}, {27, 110}, {23, 110}, {7, 125}, {18, 111}, {2, 125}, {51,
179}, {83, 211}, {79, 207}, {57, 184}, {78, 207}, {46, 172}, {90, 216}, {49,
179}, {72, 202}, {5, 134}, {27, 158}, {29, 152}, {45, 171}, {60, 186}, {62,
184}, {1, 134}, {47, 168}, {44, 171}, {25, 158}, {16, 151}, {61, 186}, {21,
157}, {48, 184}, {31, 150}, {51, 186}, {28, 150}, {89, 211}, {68, 206}, {18,
158}, {53, 184}, {71, 202}, {16, 158}, {52, 186}, {19, 157}, {46, 161}, {92,
211}, {87, 216}, {65, 206}, {3, 147}, {30, 142}, {28, 140}, {11, 155}, {7, 151},
{56, 168}, {12, 157}, {31, 142}, {26, 139}, {63, 174}, {61, 175}, {4, 151}, {45,
190}, {58, 169}, {67, 208}, {17, 133}, {25, 141}, {14, 155}, {88, 205}, {84,
193}, {30, 139}, {24, 141}, {17, 132}, {16, 133}, {59, 174}, {61, 168}, {66,
215}, {69, 208}, {18, 132}, {91, 205}, {87, 193}, {55, 161}, {4, 147}, {88,
207}, {54, 161}, {10, 157}, {59, 172}, {22, 142}, {87, 207}, {54, 174}, {55,
175}, {2, 155}, {42, 179}, {39, 190}, {13, 151}, {36, 190}, {57, 163}, {80,
202}, {2, 153}, {55, 172}, {40, 179}, {23, 140}, {21, 142}, {81, 202}, {25,
133}, {93, 193}, {52, 168}, {50, 174}, {76, 208}, {54, 171}, {5, 155}, {55,
169}, {53, 171}, {50, 172}, {26, 132}, {21, 139}, {63, 161}, {78, 208}, {6,
153}, {82, 205}, {27, 132}, {26, 133}, {19, 140}, {60, 163}, {72, 215}, {7,
167}, {100, 196}, {41, 137}, {30, 190}, {13, 173}, {61, 156}, {96, 193}, {15,
173}, {106, 200}, {23, 181}, {22, 178}, {108, 200}, {38, 130}, {5, 160}, {44,
137}, {23, 178}, {1, 167}, {17, 183}, {58, 156}, {37, 130}, {17, 185}, {108,
196}, {35, 139}, {9, 160}, {97, 200}, {32, 137}, {35, 137}, {99, 200}, {32,
140}, {97, 205}, {46, 130}, {33, 141}, {10, 167}, {50, 159}, {47, 130}, {24,
181}, {63, 146}, {49, 159}, {60, 146}, {34, 141}, {8, 185}, {98, 211}, {6, 180},
{56, 138}, {3, 176}, {37, 150}, {44, 152}, {62, 138}, {2, 183}, {24, 173}, {41,
159}, {3, 180}, {40, 159}, {16, 167}, {14, 185}, {8, 176}, {96, 216}, {12, 180},
{62, 135}, {15, 181}, {14, 181}, {99, 216}, {35, 152}, {22, 173}, {15, 180}, {5,
185}, {14, 178}, {11, 183}, {59, 135}, {38, 152}, {40, 150}, {8, 183}, {13,
178}, {71, 135}, {4, 197}, {101, 164}, {20, 213}, {80, 145}, {20, 214}, {102,
164}, {68, 135}, {87, 148}, {75, 136}, {1, 197}, {6, 194}, {76, 136}, {1, 196},
{19, 213}, {20, 210}, {21, 210}, {83, 148}, {13, 197}, {104, 160}, {73, 129},
{29, 212}, {9, 194}, {91, 144}, {29, 214}, {65, 138}, {77, 129}, {108, 160},
{92, 144}, {9, 196}, {15, 194}, {71, 138}, {10, 197}, {25, 214}, {18, 194}, {27,
203}, {22, 199}, {94, 143}, {75, 154}, {73, 154}, {82, 129}, {105, 189}, {28,
201}, {71, 145}, {102, 176}, {96, 182}, {86, 128}, {28, 203}, {88, 143}, {86,
129}, {69, 146}, {70, 145}, {19, 203}, {31, 199}, {66, 154}, {11, 210}, {89,
128}, {64, 154}, {103, 189}, {85, 143}, {70, 156}, {72, 146}, {78, 148}, {107,
176}, {84, 136}, {95, 131}, {26, 199}, {96, 189}, {94, 131}, {85, 136}, {11,
213}, {104, 182}, {12, 210}, {74, 148}, {79, 145}, {10, 213}, {105, 182}, {95,
128}, {67, 156}, {81, 177}, {92, 188}, {66, 163}, {43, 201}, {100, 134}, {98,
128}, {89, 187}, {51, 209}, {47, 204}, {95, 188}, {94, 189}, {82, 177}, {35,
199}, {103, 131}, {65, 165}, {78, 170}, {64, 166}, {69, 163}, {65, 166}, {66,
165}, {77, 170}, {43, 195}, {63, 215}, {74, 162}, {56, 209}, {95, 182}, {64,
169}, {70, 175}, {38, 204}, {86, 188}, {67, 169}, {34, 201}, {104, 131}, {90,
177}, {43, 192}, {39, 204}, {80, 187}, {37, 201}, {74, 166}, {45, 192}, {60,
209}, {79, 162}, {57, 215}, {104, 134}, {97, 143}, {68, 170}, {75, 165}, {81,
191}, {36, 203}, {84, 187}, {83, 188}, {44, 195}, {64, 175}, {69, 170}, {73,
166}, {74, 165}, {75, 187}, {105, 153}, {79, 191}, {83, 162}, {38, 212}, {53,
198}, {32, 212}, {103, 147}, {100, 144}, {52, 192}, {34, 214}, {59, 206}, {102,
147}, {101, 144}, {53, 195}, {99, 149}, {54, 192}, {56, 206}, {49, 198}, {98,
149}, {52, 195}, {72, 191}, {62, 198}, {92, 164}, {73, 177}, {70, 191}, {108,
149}, {93, 164}, {88, 162}, {48, 204}, {101, 153}, {58, 198}, {41, 212}, {47,
209}, {107, 149} }>;
(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: (1, 10, 19, 28, 37, 46, 55, 64, 73, 82, 91, 100)(2, 18, 22, 29, 45, 49, 56,
72, 76, 83, 99, 103)(3, 14, 25, 30, 41, 52, 57, 68, 79, 84, 95, 106)(4, 11, 27,
31, 38, 54, 58, 65, 81, 85, 92, 108)(5, 16, 21, 32, 43, 48, 59, 70, 75, 86, 97,
102)(6, 15, 24, 33, 42, 51, 60, 69, 78, 87, 96, 105)(7, 12, 23, 34, 39, 50, 61,
66, 77, 88, 93, 104)(8, 17, 26, 35, 44, 53, 62, 71, 80, 89, 98, 107)(9, 13, 20,
36, 40, 47, 63, 67, 74, 90, 94, 101)(109, 183, 132, 199, 152, 171, 198, 138,
202, 117, 211, 149)(110, 122, 204, 174, 156, 165, 115, 143, 164, 160, 151,
210)(111, 178, 214, 190, 159, 168, 215, 124, 162, 112, 131, 125)(113, 206, 191,
136, 188, 200, 147, 155, 158, 142, 212, 192)(114, 186, 163, 170, 207, 193, 182,
119, 180, 181, 141, 116)(118, 144, 196, 197, 213, 203, 150, 130, 161, 169, 166,
177)(120, 123, 179, 209, 146, 208, 148, 216, 189, 153, 194, 173)(121, 134, 167,
157, 140, 201, 126, 172, 175, 154, 129, 205)(127, 176, 185, 133, 139, 137, 195,
184, 135, 145, 187, 128) (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, 4)(2, 6)(3, 5)(8, 9)(10, 13)(11, 15)(12, 14)(17, 18)(19, 22)(20, 24)(21,
23)(26, 27)(28, 31)(29, 33)(30, 32)(35, 36)(37, 40)(38, 42)(39, 41)(44, 45)(46,
49)(47, 51)(48, 50)(53, 54)(55, 58)(56, 60)(57, 59)(62, 63)(64, 67)(65, 69)(66,
68)(71, 72)(73, 76)(74, 78)(75, 77)(80, 81)(82, 85)(83, 87)(84, 86)(89, 90)(91,
94)(92, 96)(93, 95)(98, 99)(100, 103)(101, 105)(102, 104)(107, 108)(109,
196)(110, 139)(111, 185)(112, 128)(113, 172)(114, 204)(115, 187)(116, 212)(117,
177)(119, 125)(121, 131)(122, 201)(123, 152)(124, 154)(126, 159)(127, 200)(129,
136)(130, 179)(133, 158)(134, 147)(135, 215)(137, 190)(138, 146)(140, 142)(141,
214)(143, 205)(144, 189)(145, 191)(151, 167)(155, 180)(156, 175)(157, 178)(160,
176)(161, 198)(162, 207)(163, 206)(164, 182)(165, 170)(166, 208)(168, 186)(173,
213)(174, 184)(181, 210)(183, 194)(188, 193)(192, 195)(199, 203)(211, 216)
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, 160, 119)(110, 141,
199)(111, 167, 183)(112, 205, 211)(113, 172, 209)(114, 179, 159)(115, 207,
117)(116, 150, 212)(118, 188, 193)(120, 142, 140)(121, 144, 164)(122, 137,
123)(124, 170, 208)(125, 176, 196)(126, 130, 204)(127, 149, 200)(128, 216,
143)(129, 148, 136)(131, 182, 189)(132, 158, 133)(134, 153, 147)(135, 146,
156)(138, 215, 175)(139, 203, 214)(145, 202, 191)(151, 185, 194)(152, 190,
201)(154, 166, 165)(155, 180, 197)(157, 213, 210)(161, 168, 184)(162, 187,
177)(163, 169, 206)(171, 192, 195)(173, 178, 181)(174, 186, 198)
d: (2, 3)(4, 7)(5, 9)(6, 8)(11, 12)(13, 16)(14, 18)(15, 17)(20, 21)(22, 25)(23,
27)(24, 26)(29, 30)(31, 34)(32, 36)(33, 35)(38, 39)(40, 43)(41, 45)(42, 44)(47,
48)(49, 52)(50, 54)(51, 53)(56, 57)(58, 61)(59, 63)(60, 62)(65, 66)(67, 70)(68,
72)(69, 71)(74, 75)(76, 79)(77, 81)(78, 80)(83, 84)(85, 88)(86, 90)(87, 89)(92,
93)(94, 97)(95, 99)(96, 98)(101, 102)(103, 106)(104, 108)(105, 107)(109,
119)(111, 155)(112, 188)(113, 168)(114, 171)(116, 152)(117, 207)(118, 205)(120,
139)(121, 144)(123, 137)(124, 191)(125, 147)(126, 130)(127, 189)(128, 216)(129,
177)(131, 200)(132, 181)(133, 173)(134, 196)(135, 146)(136, 162)(138, 163)(140,
203)(141, 199)(142, 214)(145, 208)(148, 187)(149, 182)(150, 201)(153, 176)(154,
166)(157, 213)(158, 178)(159, 192)(161, 172)(167, 197)(169, 175)(170, 202)(179,
195)(180, 183)(184, 209)(185, 194)(186, 198)(190, 212)(193, 211)(206, 215)
e: (2, 3)(4, 5)(7, 9)(10, 100)(11, 102)(12, 101)(13, 104)(14, 103)(15, 105)(16,
108)(17, 107)(18, 106)(19, 91)(20, 93)(21, 92)(22, 95)(23, 94)(24, 96)(25,
99)(26, 98)(27, 97)(28, 82)(29, 84)(30, 83)(31, 86)(32, 85)(33, 87)(34, 90)(35,
89)(36, 88)(37, 73)(38, 75)(39, 74)(40, 77)(41, 76)(42, 78)(43, 81)(44, 80)(45,
79)(46, 64)(47, 66)(48, 65)(49, 68)(50, 67)(51, 69)(52, 72)(53, 71)(54, 70)(56,
57)(58, 59)(61, 63)(109, 185)(110, 143)(111, 125)(112, 214)(113, 206)(114,
208)(115, 122)(116, 148)(117, 137)(118, 140)(119, 194)(120, 193)(121, 213)(123,
207)(124, 159)(126, 166)(127, 132)(128, 199)(129, 150)(130, 154)(131, 178)(133,
149)(134, 197)(135, 198)(136, 212)(138, 184)(139, 211)(141, 216)(142, 188)(144,
157)(145, 171)(146, 186)(147, 155)(151, 160)(152, 187)(153, 180)(156, 174)(158,
200)(161, 175)(162, 190)(163, 209)(164, 210)(165, 204)(167, 196)(168, 215)(169,
172)(170, 179)(173, 182)(176, 183)(177, 201)(181, 189)(191, 192)(195, 202)(203,
205)
C4[ 216, 92 ]
216
-1 134 167 196 197
-2 155 125 183 153
-3 176 111 147 180
-4 147 151 109 197
-5 155 134 160 185
-6 180 194 119 153
-7 167 125 151 119
-8 176 183 185 109
-9 111 160 194 196
-10 167 157 213 197
-11 155 210 213 183
-12 111 210 157 180
-13 178 151 173 197
-14 155 178 181 185
-15 180 181 194 173
-16 133 167 158 151
-17 132 133 183 185
-18 132 111 158 194
-19 157 213 203 140
-20 210 213 214 120
-21 210 157 139 142
-22 199 178 173 142
-23 110 178 181 140
-24 181 173 141 120
-25 133 158 214 141
-26 132 133 199 139
-27 110 132 158 203
-28 201 203 150 140
-29 212 214 152 120
-30 190 116 139 142
-31 122 199 150 142
-32 110 212 137 140
-33 123 116 141 120
-34 122 201 214 141
-35 199 137 139 152
-36 110 123 190 203
-37 201 126 150 130
-38 212 204 130 152
-39 190 126 116 204
-40 122 179 159 150
-41 212 114 137 159
-42 123 179 114 116
-43 122 201 192 195
-44 137 171 195 152
-45 123 190 192 171
-46 126 161 172 130
-47 209 168 204 130
-48 113 126 204 184
-49 198 113 179 159
-50 114 159 172 174
-51 209 179 114 186
-52 168 192 195 186
-53 198 171 184 195
-54 192 171 161 174
-55 169 161 172 175
-56 209 168 138 206
-57 113 215 184 163
-58 198 156 113 169
-59 135 172 206 174
-60 209 146 163 186
-61 156 168 175 186
-62 198 135 138 184
-63 146 215 161 174
-64 154 166 169 175
-65 165 166 138 206
-66 154 165 215 163
-67 156 124 169 208
-68 124 135 170 206
-69 146 170 163 208
-70 145 156 191 175
-71 145 135 202 138
-72 146 191 202 215
-73 154 166 177 129
-74 165 166 148 162
-75 154 165 187 136
-76 124 136 117 208
-77 124 115 170 129
-78 148 170 207 208
-79 145 191 162 207
-80 187 145 202 117
-81 177 191 202 115
-82 177 205 118 129
-83 188 211 148 162
-84 187 112 136 193
-85 143 136 117 118
-86 188 115 128 129
-87 148 193 216 207
-88 143 205 162 207
-89 187 211 117 128
-90 177 112 115 216
-91 121 144 205 118
-92 144 188 211 164
-93 121 112 193 164
-94 143 189 118 131
-95 188 182 128 131
-96 189 182 193 216
-97 143 200 127 205
-98 211 127 149 128
-99 112 200 149 216
-100 121 144 134 196
-101 144 125 153 164
-102 121 176 147 164
-103 189 147 109 131
-104 134 160 182 131
-105 189 182 119 153
-106 200 125 127 119
-107 176 127 149 109
-108 200 149 160 196
-109 4 103 8 107
-110 23 36 27 32
-111 12 3 18 9
-112 99 90 93 84
-113 57 58 48 49
-114 50 51 41 42
-115 77 90 81 86
-116 33 39 30 42
-117 89 80 85 76
-118 91 82 94 85
-119 6 105 7 106
-120 33 24 29 20
-121 100 91 102 93
-122 34 40 31 43
-123 33 45 36 42
-124 77 67 68 76
-125 2 101 7 106
-126 46 37 48 39
-127 106 107 97 98
-128 89 95 86 98
-129 77 82 73 86
-130 46 47 37 38
-131 103 104 94 95
-132 26 27 17 18
-133 25 26 16 17
-134 1 100 5 104
-135 68 59 71 62
-136 84 85 75 76
-137 44 35 41 32
-138 56 71 62 65
-139 35 26 30 21
-140 23 28 19 32
-141 33 34 24 25
-142 22 30 31 21
-143 88 94 85 97
-144 100 101 91 92
-145 79 80 70 71
-146 69 60 72 63
-147 3 102 4 103
-148 78 83 74 87
-149 99 107 108 98
-150 37 28 40 31
-151 13 4 16 7
-152 44 35 38 29
-153 2 101 6 105
-154 66 73 64 75
-155 11 2 14 5
-156 67 58 70 61
-157 12 19 10 21
-158 25 16 27 18
-159 49 50 40 41
-160 5 104 9 108
-161 55 46 63 54
-162 88 79 83 74
-163 66 57 69 60
-164 101 102 92 93
-165 66 74 75 65
-166 73 74 64 65
-167 1 16 7 10
-168 56 47 61 52
-169 55 67 58 64
-170 77 78 68 69
-171 44 45 53 54
-172 55 46 59 50
-173 22 13 24 15
-174 59 50 63 54
-175 55 70 61 64
-176 3 102 8 107
-177 90 81 82 73
-178 22 23 13 14
-179 49 40 51 42
-180 12 3 15 6
-181 23 24 14 15
-182 104 105 95 96
-183 11 2 17 8
-184 57 48 62 53
-185 14 5 17 8
-186 60 61 51 52
-187 89 80 84 75
-188 92 83 95 86
-189 103 94 105 96
-190 45 36 39 30
-191 79 70 81 72
-192 45 52 43 54
-193 93 84 96 87
-194 15 6 18 9
-195 44 52 53 43
-196 1 100 9 108
-197 1 13 4 10
-198 58 49 62 53
-199 22 35 26 31
-200 99 106 97 108
-201 34 37 28 43
-202 80 81 71 72
-203 36 27 28 19
-204 47 48 38 39
-205 88 91 82 97
-206 56 68 59 65
-207 88 78 79 87
-208 67 78 69 76
-209 56 47 60 51
-210 11 12 20 21
-211 89 92 83 98
-212 38 29 41 32
-213 11 19 20 10
-214 34 25 29 20
-215 66 57 72 63
-216 99 90 96 87
0