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