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