Graph forms
for C4 [ 240, 6 ] = C_240(1,79)
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On this page are computer-accessible forms for the graph C4[ 240, 6 ] =
C_240(1,79).
(I) Following is a form readable by MAGMA:
g:=Graph<240|{ {2, 3}, {238, 239}, {236, 237}, {234, 235}, {232, 233}, {230,
231}, {228, 229}, {226, 227}, {224, 225}, {222, 223}, {220, 221}, {218, 219},
{216, 217}, {214, 215}, {212, 213}, {210, 211}, {208, 209}, {206, 207}, {204,
205}, {202, 203}, {200, 201}, {198, 199}, {196, 197}, {194, 195}, {192, 193},
{190, 191}, {188, 189}, {186, 187}, {184, 185}, {182, 183}, {180, 181}, {178,
179}, {176, 177}, {174, 175}, {172, 173}, {170, 171}, {168, 169}, {166, 167},
{164, 165}, {162, 163}, {160, 161}, {158, 159}, {156, 157}, {154, 155}, {152,
153}, {150, 151}, {148, 149}, {146, 147}, {144, 145}, {142, 143}, {140, 141},
{138, 139}, {136, 137}, {134, 135}, {70, 71}, {68, 69}, {66, 67}, {64, 65}, {62,
63}, {60, 61}, {58, 59}, {56, 57}, {54, 55}, {52, 53}, {50, 51}, {48, 49}, {46,
47}, {44, 45}, {42, 43}, {4, 5}, {6, 7}, {8, 9}, {10, 11}, {12, 13}, {14, 15},
{16, 17}, {18, 19}, {20, 21}, {22, 23}, {24, 25}, {26, 27}, {28, 29}, {30, 31},
{32, 33}, {34, 35}, {36, 37}, {38, 39}, {40, 41}, {72, 73}, {74, 75}, {76, 77},
{78, 79}, {80, 81}, {82, 83}, {84, 85}, {86, 87}, {88, 89}, {90, 91}, {92, 93},
{94, 95}, {96, 97}, {98, 99}, {100, 101}, {102, 103}, {104, 105}, {106, 107},
{108, 109}, {110, 111}, {112, 113}, {114, 115}, {116, 117}, {118, 119}, {120,
121}, {122, 123}, {124, 125}, {126, 127}, {128, 129}, {130, 131}, {132, 133},
{1, 2}, {237, 238}, {233, 234}, {229, 230}, {225, 226}, {221, 222}, {217, 218},
{213, 214}, {209, 210}, {205, 206}, {201, 202}, {197, 198}, {193, 194}, {189,
190}, {185, 186}, {181, 182}, {177, 178}, {173, 174}, {169, 170}, {165, 166},
{161, 162}, {157, 158}, {153, 154}, {149, 150}, {145, 146}, {141, 142}, {137,
138}, {133, 134}, {69, 70}, {65, 66}, {61, 62}, {57, 58}, {53, 54}, {49, 50},
{45, 46}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22}, {25, 26}, {29, 30},
{33, 34}, {37, 38}, {41, 42}, {73, 74}, {77, 78}, {81, 82}, {85, 86}, {89, 90},
{93, 94}, {97, 98}, {101, 102}, {105, 106}, {109, 110}, {113, 114}, {117, 118},
{121, 122}, {125, 126}, {129, 130}, {3, 4}, {235, 236}, {227, 228}, {219, 220},
{211, 212}, {203, 204}, {195, 196}, {187, 188}, {179, 180}, {171, 172}, {163,
164}, {155, 156}, {147, 148}, {139, 140}, {67, 68}, {59, 60}, {51, 52}, {43,
44}, {11, 12}, {19, 20}, {27, 28}, {35, 36}, {75, 76}, {83, 84}, {91, 92}, {99,
100}, {107, 108}, {115, 116}, {123, 124}, {131, 132}, {7, 8}, {231, 232}, {215,
216}, {199, 200}, {183, 184}, {167, 168}, {151, 152}, {135, 136}, {55, 56}, {23,
24}, {39, 40}, {71, 72}, {87, 88}, {103, 104}, {119, 120}, {15, 16}, {239, 240},
{207, 208}, {175, 176}, {143, 144}, {47, 48}, {79, 80}, {111, 112}, {31, 32},
{223, 224}, {159, 160}, {95, 96}, {16, 95}, {160, 239}, {144, 223}, {48, 127},
{32, 111}, {128, 207}, {1, 80}, {161, 240}, {143, 222}, {141, 220}, {139, 218},
{137, 216}, {135, 214}, {133, 212}, {47, 126}, {45, 124}, {43, 122}, {3, 82},
{5, 84}, {7, 86}, {9, 88}, {11, 90}, {13, 92}, {15, 94}, {33, 112}, {35, 114},
{37, 116}, {39, 118}, {41, 120}, {129, 208}, {131, 210}, {2, 81}, {142, 221},
{138, 217}, {134, 213}, {46, 125}, {42, 121}, {6, 85}, {10, 89}, {14, 93}, {34,
113}, {38, 117}, {130, 209}, {4, 83}, {140, 219}, {44, 123}, {12, 91}, {36,
115}, {132, 211}, {8, 87}, {136, 215}, {40, 119}, {17, 96}, {159, 238}, {157,
236}, {155, 234}, {153, 232}, {151, 230}, {149, 228}, {147, 226}, {145, 224},
{19, 98}, {21, 100}, {23, 102}, {25, 104}, {27, 106}, {29, 108}, {31, 110}, {18,
97}, {158, 237}, {154, 233}, {150, 229}, {146, 225}, {22, 101}, {26, 105}, {30,
109}, {20, 99}, {156, 235}, {148, 227}, {28, 107}, {24, 103}, {191, 192}, {152,
231}, {63, 64}, {2, 163}, {68, 229}, {66, 227}, {64, 225}, {4, 165}, {6, 167},
{8, 169}, {10, 171}, {12, 173}, {14, 175}, {16, 177}, {18, 179}, {20, 181}, {22,
183}, {24, 185}, {26, 187}, {28, 189}, {30, 191}, {70, 231}, {72, 233}, {74,
235}, {76, 237}, {78, 239}, {1, 162}, {69, 230}, {65, 226}, {5, 166}, {9, 170},
{13, 174}, {17, 178}, {21, 182}, {25, 186}, {29, 190}, {73, 234}, {77, 238}, {3,
164}, {67, 228}, {11, 172}, {19, 180}, {27, 188}, {75, 236}, {7, 168}, {23,
184}, {71, 232}, {49, 128}, {63, 142}, {61, 140}, {59, 138}, {57, 136}, {55,
134}, {53, 132}, {51, 130}, {113, 192}, {115, 194}, {117, 196}, {119, 198},
{121, 200}, {123, 202}, {125, 204}, {127, 206}, {50, 129}, {62, 141}, {58, 137},
{54, 133}, {114, 193}, {118, 197}, {122, 201}, {126, 205}, {52, 131}, {60, 139},
{116, 195}, {124, 203}, {15, 176}, {56, 135}, {79, 240}, {120, 199}, {64, 143},
{80, 159}, {96, 175}, {112, 191}, {65, 144}, {69, 148}, {67, 146}, {71, 150},
{73, 152}, {75, 154}, {77, 156}, {79, 158}, {97, 176}, {99, 178}, {101, 180},
{103, 182}, {105, 184}, {107, 186}, {109, 188}, {111, 190}, {66, 145}, {70,
149}, {74, 153}, {78, 157}, {98, 177}, {102, 181}, {106, 185}, {110, 189}, {68,
147}, {76, 155}, {100, 179}, {108, 187}, {31, 192}, {63, 224}, {72, 151}, {104,
183}, {32, 193}, {62, 223}, {60, 221}, {58, 219}, {56, 217}, {54, 215}, {52,
213}, {50, 211}, {48, 209}, {46, 207}, {44, 205}, {42, 203}, {34, 195}, {36,
197}, {38, 199}, {40, 201}, {33, 194}, {61, 222}, {57, 218}, {53, 214}, {49,
210}, {45, 206}, {37, 198}, {41, 202}, {35, 196}, {59, 220}, {51, 212}, {43,
204}, {39, 200}, {55, 216}, {1, 240}, {81, 160}, {83, 162}, {85, 164}, {87,
166}, {89, 168}, {91, 170}, {93, 172}, {95, 174}, {82, 161}, {86, 165}, {90,
169}, {94, 173}, {84, 163}, {92, 171}, {47, 208}, {88, 167}, {127, 128}
}>;
(II) A more general form is to represent the graph as the orbit of {2, 3}
under the group generated by the following permutations:
a: (2, 162)(3, 83)(5, 165)(6, 86)(8, 168)(9, 89)(11, 171)(12, 92)(14, 174)(15,
95)(17, 177)(18, 98)(20, 180)(21, 101)(23, 183)(24, 104)(26, 186)(27, 107)(29,
189)(30, 110)(32, 192)(33, 113)(35, 195)(36, 116)(38, 198)(39, 119)(41, 201)(42,
122)(44, 204)(45, 125)(47, 207)(48, 128)(50, 210)(51, 131)(53, 213)(54, 134)(56,
216)(57, 137)(59, 219)(60, 140)(62, 222)(63, 143)(65, 225)(66, 146)(68, 228)(69,
149)(71, 231)(72, 152)(74, 234)(75, 155)(77, 237)(78, 158)(80, 240)(81, 161)(84,
164)(87, 167)(90, 170)(93, 173)(96, 176)(99, 179)(102, 182)(105, 185)(108,
188)(111, 191)(114, 194)(117, 197)(120, 200)(123, 203)(126, 206)(129, 209)(132,
212)(135, 215)(138, 218)(141, 221)(144, 224)(147, 227)(150, 230)(153, 233)(156,
236)(159, 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, 80)(3, 159)(4, 238)(5, 77)(6, 156)(7, 235)(8, 74)(9, 153)(10, 232)(11,
71)(12, 150)(13, 229)(14, 68)(15, 147)(16, 226)(17, 65)(18, 144)(19, 223)(20,
62)(21, 141)(22, 220)(23, 59)(24, 138)(25, 217)(26, 56)(27, 135)(28, 214)(29,
53)(30, 132)(31, 211)(32, 50)(33, 129)(34, 208)(35, 47)(36, 126)(37, 205)(38,
44)(39, 123)(40, 202)(42, 120)(43, 199)(45, 117)(46, 196)(48, 114)(49, 193)(51,
111)(52, 190)(54, 108)(55, 187)(57, 105)(58, 184)(60, 102)(61, 181)(63, 99)(64,
178)(66, 96)(67, 175)(69, 93)(70, 172)(72, 90)(73, 169)(75, 87)(76, 166)(78,
84)(79, 163)(82, 160)(83, 239)(85, 157)(86, 236)(88, 154)(89, 233)(91, 151)(92,
230)(94, 148)(95, 227)(97, 145)(98, 224)(100, 142)(101, 221)(103, 139)(104,
218)(106, 136)(107, 215)(109, 133)(110, 212)(112, 130)(113, 209)(115, 127)(116,
206)(118, 124)(119, 203)(122, 200)(125, 197)(128, 194)(131, 191)(134, 188)(137,
185)(140, 182)(143, 179)(146, 176)(149, 173)(152, 170)(155, 167)(158, 164)(162,
240)(165, 237)(168, 234)(171, 231)(174, 228)(177, 225)(180, 222)(183, 219)(186,
216)(189, 213)(192, 210)(195, 207)(198, 204)
c: (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21,
22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41,
42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61,
62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81,
82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100,
101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116,
117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132,
133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148,
149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164,
165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180,
181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196,
197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212,
213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228,
229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240)
C4[ 240, 6 ]
240
-1 2 80 162 240
-2 1 3 81 163
-3 2 4 82 164
-4 165 3 5 83
-5 166 4 6 84
-6 167 5 7 85
-7 168 6 8 86
-8 169 7 9 87
-9 88 170 8 10
-10 11 89 171 9
-11 12 90 172 10
-12 11 13 91 173
-13 12 14 92 174
-14 13 15 93 175
-15 176 14 16 94
-16 177 15 17 95
-17 178 16 18 96
-18 179 17 19 97
-19 180 18 20 98
-20 99 181 19 21
-21 22 100 182 20
-22 23 101 183 21
-23 22 24 102 184
-24 23 25 103 185
-25 24 26 104 186
-26 187 25 27 105
-27 188 26 28 106
-28 189 27 29 107
-29 190 28 30 108
-30 191 29 31 109
-31 110 192 30 32
-32 33 111 193 31
-33 34 112 194 32
-34 33 35 113 195
-35 34 36 114 196
-36 35 37 115 197
-37 198 36 38 116
-38 199 37 39 117
-39 200 38 40 118
-40 201 39 41 119
-41 202 40 42 120
-42 121 203 41 43
-43 44 122 204 42
-44 45 123 205 43
-45 44 46 124 206
-46 45 47 125 207
-47 46 48 126 208
-48 209 47 49 127
-49 210 48 50 128
-50 211 49 51 129
-51 212 50 52 130
-52 213 51 53 131
-53 132 214 52 54
-54 55 133 215 53
-55 56 134 216 54
-56 55 57 135 217
-57 56 58 136 218
-58 57 59 137 219
-59 220 58 60 138
-60 221 59 61 139
-61 222 60 62 140
-62 223 61 63 141
-63 224 62 64 142
-64 143 225 63 65
-65 66 144 226 64
-66 67 145 227 65
-67 66 68 146 228
-68 67 69 147 229
-69 68 70 148 230
-70 231 69 71 149
-71 232 70 72 150
-72 233 71 73 151
-73 234 72 74 152
-74 235 73 75 153
-75 154 236 74 76
-76 77 155 237 75
-77 78 156 238 76
-78 77 79 157 239
-79 78 80 158 240
-80 1 79 81 159
-81 2 80 82 160
-82 3 81 83 161
-83 4 82 84 162
-84 5 83 85 163
-85 6 84 86 164
-86 165 7 85 87
-87 88 166 8 86
-88 89 167 9 87
-89 88 90 168 10
-90 11 89 91 169
-91 12 90 92 170
-92 13 91 93 171
-93 14 92 94 172
-94 15 93 95 173
-95 16 94 96 174
-96 17 95 97 175
-97 176 18 96 98
-98 99 177 19 97
-99 100 178 20 98
-100 99 101 179 21
-101 22 100 102 180
-102 23 101 103 181
-103 24 102 104 182
-104 25 103 105 183
-105 26 104 106 184
-106 27 105 107 185
-107 28 106 108 186
-108 187 29 107 109
-109 110 188 30 108
-110 111 189 31 109
-111 110 112 190 32
-112 33 111 113 191
-113 34 112 114 192
-114 35 113 115 193
-115 36 114 116 194
-116 37 115 117 195
-117 38 116 118 196
-118 39 117 119 197
-119 198 40 118 120
-120 121 199 41 119
-121 122 200 42 120
-122 121 123 201 43
-123 44 122 124 202
-124 45 123 125 203
-125 46 124 126 204
-126 47 125 127 205
-127 48 126 128 206
-128 49 127 129 207
-129 50 128 130 208
-130 209 51 129 131
-131 132 210 52 130
-132 133 211 53 131
-133 132 134 212 54
-134 55 133 135 213
-135 56 134 136 214
-136 57 135 137 215
-137 58 136 138 216
-138 59 137 139 217
-139 60 138 140 218
-140 61 139 141 219
-141 220 62 140 142
-142 143 221 63 141
-143 144 222 64 142
-144 143 145 223 65
-145 66 144 146 224
-146 67 145 147 225
-147 68 146 148 226
-148 69 147 149 227
-149 70 148 150 228
-150 71 149 151 229
-151 72 150 152 230
-152 231 73 151 153
-153 154 232 74 152
-154 155 233 75 153
-155 154 156 234 76
-156 77 155 157 235
-157 78 156 158 236
-158 79 157 159 237
-159 80 158 160 238
-160 81 159 161 239
-161 82 160 162 240
-162 1 83 161 163
-163 2 84 162 164
-164 165 3 85 163
-165 166 4 86 164
-166 165 167 5 87
-167 88 166 168 6
-168 89 167 169 7
-169 90 168 170 8
-170 91 169 171 9
-171 92 170 172 10
-172 11 93 171 173
-173 12 94 172 174
-174 13 95 173 175
-175 176 14 96 174
-176 177 15 97 175
-177 176 178 16 98
-178 99 177 179 17
-179 100 178 180 18
-180 101 179 181 19
-181 102 180 182 20
-182 103 181 183 21
-183 22 104 182 184
-184 23 105 183 185
-185 24 106 184 186
-186 187 25 107 185
-187 188 26 108 186
-188 187 189 27 109
-189 110 188 190 28
-190 111 189 191 29
-191 112 190 192 30
-192 113 191 193 31
-193 114 192 194 32
-194 33 115 193 195
-195 34 116 194 196
-196 35 117 195 197
-197 198 36 118 196
-198 199 37 119 197
-199 198 200 38 120
-200 121 199 201 39
-201 122 200 202 40
-202 123 201 203 41
-203 124 202 204 42
-204 125 203 205 43
-205 44 126 204 206
-206 45 127 205 207
-207 46 128 206 208
-208 209 47 129 207
-209 210 48 130 208
-210 209 211 49 131
-211 132 210 212 50
-212 133 211 213 51
-213 134 212 214 52
-214 135 213 215 53
-215 136 214 216 54
-216 55 137 215 217
-217 56 138 216 218
-218 57 139 217 219
-219 220 58 140 218
-220 221 59 141 219
-221 220 222 60 142
-222 143 221 223 61
-223 144 222 224 62
-224 145 223 225 63
-225 146 224 226 64
-226 147 225 227 65
-227 66 148 226 228
-228 67 149 227 229
-229 68 150 228 230
-230 231 69 151 229
-231 232 70 152 230
-232 231 233 71 153
-233 154 232 234 72
-234 155 233 235 73
-235 156 234 236 74
-236 157 235 237 75
-237 158 236 238 76
-238 77 159 237 239
-239 78 160 238 240
-240 1 79 161 239
0