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