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