Graph forms
for C4 [ 240, 99 ] = UG(ATD[240,163])
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On this page are computer-accessible forms for the graph C4[ 240, 99 ] =
UG(ATD[240,163]).
(I) Following is a form readable by MAGMA:
g:=Graph<240|{ {18, 23}, {66, 71}, {50, 55}, {75, 77}, {217, 223}, {128, 134},
{1, 6}, {53, 61}, {71, 78}, {102, 111}, {1, 11}, {64, 74}, {4, 15}, {183, 188},
{176, 187}, {148, 159}, {19, 24}, {130, 137}, {5, 9}, {144, 157}, {210, 223},
{182, 187}, {179, 190}, {96, 110}, {69, 74}, {147, 156}, {100, 107}, {1, 16},
{207, 222}, {39, 54}, {10, 24}, {68, 86}, {64, 82}, {33, 51}, {6, 21}, {38, 53},
{11, 31}, {136, 156}, {34, 54}, {96, 116}, {103, 114}, {129, 151}, {200, 222},
{167, 177}, {4, 19}, {68, 83}, {67, 84}, {130, 149}, {67, 90}, {1, 26}, {5, 30},
{99, 120}, {128, 155}, {194, 222}, {46, 51}, {168, 181}, {101, 120}, {104, 117},
{170, 180}, {193, 223}, {167, 184}, {196, 228}, {6, 36}, {14, 44}, {11, 41}, {8,
43}, {75, 104}, {197, 225}, {9, 44}, {213, 240}, {193, 228}, {192, 229}, {20,
49}, {21, 51}, {207, 233}, {200, 238}, {193, 231}, {203, 236}, {197, 237}, {17,
59}, {139, 160}, {200, 227}, {192, 235}, {20, 56}, {70, 106}, {80, 124}, {14,
35}, {198, 235}, {197, 232}, {141, 160}, {83, 126}, {9, 39}, {195, 237}, {67,
109}, {25, 54}, {204, 227}, {203, 228}, {72, 103}, {192, 240}, {216, 232}, {142,
191}, {69, 119}, {212, 230}, {86, 100}, {18, 38}, {215, 227}, {14, 59}, {76,
121}, {93, 104}, {10, 60}, {66, 116}, {17, 39}, {11, 61}, {13, 58}, {220, 235},
{73, 126}, {29, 42}, {26, 45}, {8, 48}, {208, 232}, {135, 191}, {9, 49}, {18,
43}, {212, 237}, {19, 42}, {67, 121}, {202, 240}, {70, 124}, {90, 97}, {92,
103}, {220, 224}, {28, 33}, {6, 56}, {16, 46}, {29, 34}, {157, 221}, {160, 224},
{24, 89}, {162, 227}, {148, 213}, {147, 210}, {138, 203}, {155, 217}, {142,
205}, {165, 230}, {57, 125}, {173, 233}, {172, 232}, {164, 224}, {60, 121}, {8,
78}, {145, 215}, {137, 207}, {41, 111}, {25, 95}, {131, 196}, {171, 236}, {168,
239}, {160, 231}, {147, 212}, {139, 204}, {132, 195}, {7, 79}, {36, 108}, {13,
68}, {167, 238}, {163, 234}, {152, 209}, {143, 198}, {39, 109}, {172, 230},
{150, 220}, {146, 216}, {14, 69}, {162, 233}, {142, 197}, {48, 123}, {168, 228},
{169, 229}, {35, 110}, {175, 226}, {162, 239}, {151, 218}, {49, 124}, {15, 65},
{31, 81}, {21, 91}, {23, 88}, {175, 224}, {163, 236}, {135, 200}, {3, 83}, {4,
84}, {52, 101}, {24, 74}, {138, 216}, {137, 219}, {145, 194}, {132, 208}, {190,
234}, {133, 209}, {37, 112}, {155, 206}, {32, 119}, {38, 113}, {33, 118}, {26,
66}, {152, 192}, {150, 206}, {145, 201}, {33, 121}, {31, 71}, {4, 94}, {153,
195}, {150, 204}, {147, 201}, {29, 70}, {186, 225}, {16, 76}, {187, 231}, {138,
214}, {137, 213}, {21, 73}, {19, 79}, {32, 125}, {135, 218}, {53, 104}, {43,
118}, {3, 93}, {141, 211}, {140, 210}, {44, 114}, {42, 117}, {175, 240}, {155,
196}, {152, 199}, {132, 219}, {130, 226}, {190, 222}, {183, 215}, {177, 209},
{38, 71}, {178, 211}, {178, 208}, {182, 212}, {185, 218}, {7, 99}, {181, 208},
{46, 72}, {177, 215}, {22, 113}, {61, 85}, {34, 75}, {56, 81}, {10, 96}, {25,
114}, {177, 220}, {180, 217}, {59, 85}, {37, 74}, {182, 217}, {128, 239}, {2,
114}, {20, 100}, {16, 96}, {40, 89}, {172, 221}, {3, 113}, {55, 69}, {41, 91},
{36, 86}, {12, 126}, {5, 119}, {40, 91}, {185, 202}, {45, 94}, {2, 118}, {52,
64}, {31, 106}, {32, 86}, {185, 207}, {156, 234}, {63, 73}, {34, 84}, {30, 105},
{51, 68}, {43, 83}, {55, 79}, {178, 203}, {179, 202}, {35, 89}, {52, 78}, {49,
75}, {22, 109}, {182, 205}, {37, 94}, {163, 223}, {23, 106}, {28, 98}, {44, 82},
{29, 99}, {26, 101}, {23, 149}, {50, 176}, {5, 134}, {98, 225}, {100, 231}, {22,
146}, {87, 211}, {92, 216}, {102, 226}, {93, 219}, {2, 133}, {48, 184}, {103,
238}, {97, 235}, {102, 237}, {17, 157}, {18, 158}, {105, 229}, {92, 209}, {15,
129}, {88, 214}, {25, 136}, {55, 166}, {95, 206}, {12, 159}, {13, 158}, {90,
201}, {127, 236}, {10, 159}, {3, 154}, {7, 158}, {47, 181}, {127, 229}, {2,
153}, {87, 204}, {47, 179}, {22, 139}, {52, 169}, {47, 143}, {48, 144}, {12,
173}, {28, 189}, {15, 174}, {111, 206}, {115, 210}, {28, 191}, {40, 140}, {63,
154}, {108, 201}, {107, 205}, {27, 188}, {20, 188}, {50, 154}, {123, 211}, {12,
165}, {62, 151}, {115, 218}, {112, 219}, {13, 161}, {36, 136}, {17, 189}, {122,
214}, {46, 131}, {60, 145}, {57, 148}, {45, 131}, {65, 239}, {32, 143}, {61,
146}, {58, 149}, {41, 134}, {37, 149}, {59, 139}, {58, 138}, {42, 154}, {122,
202}, {125, 205}, {27, 170}, {62, 140}, {35, 144}, {116, 199}, {8, 189}, {56,
141}, {53, 128}, {50, 135}, {47, 153}, {54, 129}, {30, 166}, {110, 214}, {45,
151}, {120, 194}, {123, 193}, {63, 132}, {40, 148}, {97, 221}, {120, 196}, {122,
198}, {123, 199}, {7, 186}, {107, 213}, {124, 194}, {79, 143}, {108, 172}, {109,
173}, {76, 142}, {64, 133}, {65, 136}, {72, 129}, {111, 166}, {117, 191}, {70,
141}, {77, 134}, {84, 159}, {119, 188}, {81, 156}, {108, 161}, {107, 164}, {116,
187}, {57, 233}, {62, 238}, {82, 130}, {98, 178}, {99, 179}, {101, 181}, {105,
185}, {106, 186}, {110, 190}, {66, 144}, {102, 180}, {112, 162}, {117, 167},
{80, 131}, {113, 165}, {77, 152}, {60, 234}, {97, 183}, {65, 150}, {78, 153},
{27, 195}, {62, 230}, {57, 225}, {115, 171}, {30, 199}, {105, 176}, {98, 184},
{115, 169}, {118, 170}, {27, 198}, {63, 226}, {112, 174}, {72, 170}, {125, 158},
{80, 180}, {58, 221}, {80, 183}, {90, 189}, {122, 157}, {87, 186}, {127, 146},
{73, 166}, {91, 171}, {95, 175}, {85, 164}, {126, 140}, {82, 161}, {77, 184},
{93, 168}, {88, 174}, {94, 169}, {92, 165}, {87, 173}, {127, 133}, {88, 163},
{76, 176}, {89, 164}, {85, 171}, {95, 161}, {81, 174} }>;
(II) A more general form is to represent the graph as the orbit of {18, 23}
under the group generated by the following permutations:
a: (1, 2)(3, 4)(6, 133)(7, 135)(8, 131)(9, 134)(10, 132)(11, 114)(12, 112)(13,
115)(14, 111)(15, 113)(16, 153)(17, 155)(18, 151)(19, 154)(20, 152)(21, 64)(22,
65)(23, 62)(24, 63)(25, 61)(26, 118)(27, 116)(28, 120)(29, 117)(30, 119)(31,
103)(32, 105)(33, 101)(34, 104)(35, 102)(36, 127)(37, 126)(38, 129)(39, 128)(40,
130)(41, 44)(43, 45)(46, 78)(47, 76)(48, 80)(49, 77)(50, 79)(51, 52)(53, 54)(56,
209)(57, 207)(58, 210)(59, 206)(60, 208)(66, 170)(67, 168)(68, 169)(69, 166)(70,
167)(71, 72)(73, 74)(81, 92)(82, 91)(83, 94)(84, 93)(85, 95)(86, 229)(87,
227)(88, 230)(89, 226)(90, 228)(96, 195)(97, 193)(98, 194)(99, 191)(100,
192)(106, 238)(107, 240)(108, 236)(109, 239)(110, 237)(121, 181)(122, 182)(123,
183)(124, 184)(125, 185)(136, 146)(137, 148)(138, 147)(139, 150)(140, 149)(141,
177)(142, 179)(143, 176)(144, 180)(145, 178)(156, 216)(157, 217)(158, 218)(159,
219)(160, 220)(161, 171)(162, 173)(163, 172)(164, 175)(165, 174)(186, 200)(187,
198)(188, 199)(189, 196)(190, 197)(201, 203)(202, 205)(211, 215)(212, 214)(221,
223)(222, 225)(231, 235)(232, 234) (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, 6, 21, 51, 68, 83, 43, 18, 38, 71, 31, 11)(2, 7, 22, 52, 70, 85, 45, 20,
40, 72, 32, 12)(3, 8, 23, 53, 66, 81, 41, 16, 36, 73, 33, 13)(4, 9, 24, 54, 69,
84, 44, 19, 39, 74, 34, 14)(5, 10, 25, 55, 67, 82, 42, 17, 37, 75, 35, 15)(26,
56, 91, 46, 86, 126, 118, 158, 113, 78, 106, 61)(27, 57, 92, 47, 87, 127, 120,
160, 115, 80, 107, 62)(28, 58, 93, 48, 88, 128, 116, 156, 111, 76, 108, 63)(29,
59, 94, 49, 89, 129, 119, 159, 114, 79, 109, 64)(30, 60, 95, 50, 90, 130, 117,
157, 112, 77, 110, 65)(96, 136, 166, 121, 161, 154, 189, 149, 104, 144, 174,
134)(97, 137, 167, 122, 162, 152, 190, 150, 105, 145, 175, 135)(98, 138, 168,
123, 163, 155, 187, 147, 102, 142, 172, 132)(99, 139, 169, 124, 164, 151, 188,
148, 103, 143, 173, 133)(100, 140, 170, 125, 165, 153, 186, 146, 101, 141, 171,
131)(176, 201, 226, 191, 221, 219, 184, 214, 239, 199, 234, 206)(177, 202, 227,
192, 222, 220, 185, 215, 240, 200, 235, 207)(178, 203, 228, 193, 223, 217, 182,
212, 237, 197, 232, 208)(179, 204, 229, 194, 224, 218, 183, 213, 238, 198, 233,
209)(180, 205, 230, 195, 225, 216, 181, 211, 236, 196, 231, 210)
c: (2, 158)(3, 189)(4, 49)(5, 24)(6, 26)(7, 114)(8, 83)(9, 19)(10, 134)(11,
16)(12, 184)(13, 153)(14, 55)(15, 124)(17, 154)(18, 118)(20, 94)(21, 66)(22,
191)(23, 170)(25, 99)(27, 149)(28, 113)(29, 54)(30, 89)(31, 46)(32, 64)(33,
38)(35, 166)(36, 101)(37, 188)(39, 42)(40, 199)(41, 96)(44, 79)(45, 56)(47,
161)(48, 126)(50, 59)(51, 71)(52, 86)(53, 121)(57, 209)(58, 195)(60, 128)(61,
76)(62, 211)(63, 157)(65, 194)(67, 104)(68, 78)(70, 129)(72, 106)(73, 144)(74,
119)(75, 84)(77, 159)(80, 174)(81, 131)(82, 143)(85, 176)(87, 238)(88, 180)(90,
93)(91, 116)(92, 225)(95, 179)(97, 219)(98, 165)(100, 169)(102, 214)(103,
186)(105, 164)(107, 229)(108, 181)(109, 117)(110, 111)(112, 183)(115, 231)(120,
136)(122, 226)(123, 140)(125, 133)(127, 205)(130, 198)(132, 221)(135, 139)(137,
235)(138, 237)(141, 151)(142, 146)(145, 239)(147, 228)(148, 152)(150, 222)(155,
234)(156, 196)(160, 218)(162, 215)(163, 217)(167, 173)(168, 201)(171, 187)(172,
208)(175, 202)(177, 233)(178, 230)(182, 236)(185, 224)(190, 206)(192, 213)(193,
210)(197, 216)(200, 204)(203, 212)(207, 220)
d: (2, 3)(4, 5)(6, 16)(7, 17)(8, 18)(9, 19)(10, 20)(11, 26)(12, 27)(13, 28)(14,
29)(15, 30)(21, 46)(22, 47)(23, 48)(24, 49)(25, 50)(31, 66)(32, 67)(33, 68)(34,
69)(35, 70)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)(41, 45)(42, 44)(52, 53)(54,
55)(56, 96)(57, 97)(58, 98)(59, 99)(60, 100)(61, 101)(62, 102)(63, 103)(64,
104)(65, 105)(72, 73)(74, 75)(81, 116)(82, 117)(83, 118)(84, 119)(85, 120)(86,
121)(87, 122)(88, 123)(89, 124)(90, 125)(91, 131)(92, 132)(93, 133)(94, 134)(95,
135)(106, 144)(107, 145)(108, 142)(109, 143)(110, 141)(111, 151)(112, 152)(113,
153)(114, 154)(115, 155)(126, 170)(127, 168)(128, 169)(129, 166)(130, 167)(136,
176)(137, 177)(138, 178)(139, 179)(140, 180)(146, 181)(147, 182)(148, 183)(149,
184)(150, 185)(156, 187)(157, 186)(158, 189)(159, 188)(160, 190)(161, 191)(162,
192)(163, 193)(164, 194)(165, 195)(171, 196)(172, 197)(173, 198)(174, 199)(175,
200)(201, 205)(202, 204)(206, 218)(207, 220)(208, 216)(209, 219)(210, 217)(211,
214)(213, 215)(221, 225)(222, 224)(226, 238)(227, 240)(228, 236)(229, 239)(230,
237)(231, 234)(233, 235)
C4[ 240, 99 ]
240
-1 11 26 16 6
-2 133 114 118 153
-3 154 113 93 83
-4 15 94 84 19
-5 134 30 9 119
-6 1 56 36 21
-7 99 79 158 186
-8 78 189 48 43
-9 44 5 49 39
-10 24 60 159 96
-11 1 61 41 31
-12 165 126 159 173
-13 68 58 158 161
-14 44 35 69 59
-15 4 129 174 65
-16 1 46 96 76
-17 189 157 59 39
-18 23 158 38 43
-19 24 79 4 42
-20 56 100 188 49
-21 91 6 51 73
-22 113 146 139 109
-23 88 149 18 106
-24 89 19 74 10
-25 114 136 95 54
-26 66 1 45 101
-27 198 188 170 195
-28 33 189 191 98
-29 99 34 70 42
-30 166 199 5 105
-31 11 81 71 106
-32 143 125 86 119
-33 121 28 51 118
-34 29 84 75 54
-35 110 89 144 14
-36 136 6 86 108
-37 112 94 149 74
-38 113 71 18 53
-39 17 9 54 109
-40 89 91 148 140
-41 11 111 134 91
-42 154 29 117 19
-43 83 18 8 118
-44 14 114 82 9
-45 26 94 151 131
-46 16 72 51 131
-47 143 179 181 153
-48 144 123 8 184
-49 124 9 20 75
-50 55 154 176 135
-51 33 46 68 21
-52 78 101 169 64
-53 38 104 61 128
-54 34 25 39 129
-55 166 79 69 50
-56 81 6 20 141
-57 233 125 148 225
-58 221 13 138 149
-59 14 17 139 85
-60 121 145 234 10
-61 11 146 85 53
-62 238 140 151 230
-63 132 154 226 73
-64 133 82 52 74
-65 15 136 150 239
-66 144 26 71 116
-67 121 90 84 109
-68 13 83 51 86
-69 55 14 74 119
-70 124 29 106 141
-71 66 78 38 31
-72 46 103 170 129
-73 166 126 63 21
-74 24 69 37 64
-75 77 34 49 104
-76 121 176 16 142
-77 134 184 75 152
-78 71 8 52 153
-79 55 143 7 19
-80 124 180 183 131
-81 56 156 31 174
-82 44 161 64 130
-83 68 3 126 43
-84 34 67 4 159
-85 59 61 171 164
-86 100 68 36 32
-87 211 204 173 186
-88 23 214 163 174
-89 24 35 40 164
-90 67 189 201 97
-91 171 40 41 21
-92 165 209 103 216
-93 3 168 104 219
-94 45 4 37 169
-95 25 161 206 175
-96 110 16 116 10
-97 221 90 235 183
-98 178 225 28 184
-99 179 7 29 120
-100 231 107 20 86
-101 26 181 52 120
-102 111 180 226 237
-103 92 114 72 238
-104 93 117 53 75
-105 176 30 185 229
-106 23 70 31 186
-107 100 213 205 164
-108 36 201 161 172
-109 22 67 39 173
-110 35 190 214 96
-111 166 102 41 206
-112 37 162 174 219
-113 22 165 3 38
-114 44 2 25 103
-115 210 169 171 218
-116 66 187 199 96
-117 167 191 104 42
-118 33 2 170 43
-119 188 69 5 32
-120 99 101 194 196
-121 33 67 60 76
-122 198 157 202 214
-123 199 211 48 193
-124 80 70 49 194
-125 57 158 205 32
-126 12 83 73 140
-127 133 146 236 229
-128 155 134 239 53
-129 15 72 151 54
-130 82 137 149 226
-131 45 46 80 196
-132 63 195 208 219
-133 209 2 127 64
-134 77 5 128 41
-135 200 191 50 218
-136 156 25 36 65
-137 213 130 207 219
-138 58 203 214 216
-139 22 59 160 204
-140 210 126 40 62
-141 56 211 70 160
-142 191 205 76 197
-143 198 79 47 32
-144 66 35 157 48
-145 201 60 215 194
-146 22 61 127 216
-147 210 156 201 212
-148 57 213 159 40
-149 23 58 37 130
-150 220 204 206 65
-151 45 62 129 218
-152 77 209 199 192
-153 78 2 47 195
-154 3 50 63 42
-155 128 206 217 196
-156 234 81 136 147
-157 122 144 221 17
-158 13 125 7 18
-159 12 148 84 10
-160 231 224 139 141
-161 13 82 95 108
-162 112 233 227 239
-163 88 223 234 236
-164 89 224 85 107
-165 12 113 92 230
-166 55 111 73 30
-167 177 117 238 184
-168 93 181 228 239
-169 115 94 52 229
-170 180 27 72 118
-171 91 115 236 85
-172 221 232 108 230
-173 12 233 87 109
-174 88 112 15 81
-175 224 226 95 240
-176 187 50 105 76
-177 209 220 167 215
-178 211 203 98 208
-179 99 47 190 202
-180 80 102 170 217
-181 101 47 168 208
-182 187 212 205 217
-183 188 80 215 97
-184 77 167 48 98
-185 202 105 207 218
-186 225 7 106 87
-187 176 231 116 182
-188 27 183 20 119
-189 90 17 28 8
-190 110 222 179 234
-191 135 28 117 142
-192 235 152 229 240
-193 231 123 223 228
-194 145 222 124 120
-195 132 27 237 153
-196 155 228 120 131
-197 232 225 237 142
-198 143 122 235 27
-199 123 116 30 152
-200 222 135 227 238
-201 90 145 147 108
-202 122 179 185 240
-203 178 236 138 228
-204 139 150 227 87
-205 125 182 107 142
-206 111 155 95 150
-207 222 233 137 185
-208 132 232 178 181
-209 133 177 92 152
-210 223 147 115 140
-211 123 178 141 87
-212 147 182 237 230
-213 137 148 107 240
-214 88 110 122 138
-215 177 145 183 227
-216 232 146 92 138
-217 155 223 180 182
-218 135 115 151 185
-219 132 112 93 137
-220 177 224 235 150
-221 58 157 172 97
-222 200 190 194 207
-223 210 193 217 163
-224 220 160 164 175
-225 57 98 186 197
-226 102 63 130 175
-227 200 204 215 162
-228 168 203 193 196
-229 169 192 105 127
-230 165 212 62 172
-231 187 100 160 193
-232 172 216 197 208
-233 57 162 173 207
-234 156 190 60 163
-235 198 220 192 97
-236 203 127 171 163
-237 102 212 195 197
-238 167 200 103 62
-239 168 128 162 65
-240 202 213 192 175
0