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