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