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