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