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