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