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