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