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