Graph forms
for C4 [ 240, 32 ] = R_120(32,91)
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On this page are computer-accessible forms for the graph C4[ 240, 32 ] =
R_120(32,91).
(I) Following is a form readable by MAGMA:
g:=Graph<240|{ {2, 3}, {118, 119}, {116, 117}, {114, 115}, {112, 113}, {110,
111}, {64, 65}, {62, 63}, {60, 61}, {58, 59}, {56, 57}, {54, 55}, {52, 53}, {50,
51}, {48, 49}, {46, 47}, {44, 45}, {42, 43}, {40, 41}, {38, 39}, {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}, {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}, {1, 2}, {117, 118},
{113, 114}, {61, 62}, {57, 58}, {53, 54}, {49, 50}, {45, 46}, {41, 42}, {5, 6},
{9, 10}, {13, 14}, {17, 18}, {21, 22}, {25, 26}, {29, 30}, {33, 34}, {37, 38},
{65, 66}, {69, 70}, {73, 74}, {77, 78}, {81, 82}, {85, 86}, {89, 90}, {93, 94},
{97, 98}, {101, 102}, {105, 106}, {109, 110}, {3, 4}, {115, 116}, {59, 60}, {51,
52}, {43, 44}, {11, 12}, {19, 20}, {27, 28}, {35, 36}, {67, 68}, {75, 76}, {83,
84}, {91, 92}, {99, 100}, {107, 108}, {7, 8}, {119, 120}, {55, 56}, {39, 40},
{23, 24}, {71, 72}, {87, 88}, {103, 104}, {128, 157}, {194, 223}, {192, 221},
{162, 191}, {160, 189}, {130, 159}, {15, 16}, {193, 222}, {161, 190}, {129,
158}, {111, 112}, {47, 48}, {79, 80}, {131, 160}, {211, 240}, {207, 236}, {203,
232}, {199, 228}, {195, 224}, {159, 188}, {155, 184}, {151, 180}, {147, 176},
{143, 172}, {139, 168}, {135, 164}, {132, 161}, {206, 235}, {204, 233}, {198,
227}, {196, 225}, {158, 187}, {156, 185}, {150, 179}, {148, 177}, {142, 171},
{140, 169}, {134, 163}, {133, 162}, {205, 234}, {197, 226}, {157, 186}, {149,
178}, {141, 170}, {136, 165}, {202, 231}, {200, 229}, {154, 183}, {152, 181},
{138, 167}, {137, 166}, {201, 230}, {153, 182}, {144, 173}, {210, 239}, {208,
237}, {146, 175}, {31, 32}, {209, 238}, {145, 174}, {95, 96}, {33, 121}, {39,
127}, {38, 126}, {34, 122}, {35, 123}, {36, 124}, {37, 125}, {128, 219}, {132,
223}, {129, 220}, {131, 222}, {130, 221}, {163, 192}, {191, 220}, {187, 216},
{183, 212}, {179, 208}, {175, 204}, {171, 200}, {167, 196}, {133, 224}, {190,
219}, {188, 217}, {182, 211}, {180, 209}, {174, 203}, {172, 201}, {166, 195},
{164, 193}, {149, 240}, {143, 234}, {141, 232}, {135, 226}, {134, 225}, {189,
218}, {181, 210}, {173, 202}, {165, 194}, {142, 233}, {136, 227}, {140, 231},
{137, 228}, {186, 215}, {184, 213}, {170, 199}, {168, 197}, {139, 230}, {138,
229}, {185, 214}, {169, 198}, {1, 121}, {2, 122}, {3, 123}, {4, 124}, {5, 125},
{6, 126}, {7, 127}, {1, 120}, {144, 235}, {148, 239}, {145, 236}, {178, 207},
{176, 205}, {147, 238}, {63, 64}, {177, 206}, {146, 237}, {8, 128}, {120, 240},
{111, 231}, {110, 230}, {109, 229}, {63, 183}, {62, 182}, {61, 181}, {60, 180},
{59, 179}, {58, 178}, {57, 177}, {56, 176}, {47, 167}, {46, 166}, {45, 165},
{44, 164}, {43, 163}, {42, 162}, {41, 161}, {40, 160}, {9, 129}, {10, 130}, {11,
131}, {12, 132}, {13, 133}, {14, 134}, {15, 135}, {24, 144}, {25, 145}, {26,
146}, {27, 147}, {28, 148}, {29, 149}, {30, 150}, {31, 151}, {72, 192}, {73,
193}, {74, 194}, {75, 195}, {76, 196}, {77, 197}, {78, 198}, {79, 199}, {88,
208}, {89, 209}, {90, 210}, {91, 211}, {92, 212}, {93, 213}, {94, 214}, {95,
215}, {104, 224}, {105, 225}, {106, 226}, {107, 227}, {108, 228}, {16, 136},
{119, 239}, {118, 238}, {117, 237}, {116, 236}, {115, 235}, {114, 234}, {113,
233}, {112, 232}, {55, 175}, {54, 174}, {53, 173}, {52, 172}, {51, 171}, {50,
170}, {49, 169}, {48, 168}, {17, 137}, {18, 138}, {19, 139}, {20, 140}, {21,
141}, {22, 142}, {23, 143}, {80, 200}, {81, 201}, {82, 202}, {83, 203}, {84,
204}, {85, 205}, {86, 206}, {87, 207}, {125, 216}, {127, 218}, {126, 217}, {40,
128}, {120, 208}, {111, 199}, {110, 198}, {63, 151}, {62, 150}, {61, 149}, {60,
148}, {59, 147}, {58, 146}, {57, 145}, {56, 144}, {47, 135}, {46, 134}, {45,
133}, {44, 132}, {43, 131}, {42, 130}, {41, 129}, {104, 192}, {105, 193}, {106,
194}, {107, 195}, {108, 196}, {109, 197}, {124, 215}, {121, 212}, {123, 214},
{122, 213}, {32, 152}, {119, 207}, {118, 206}, {117, 205}, {116, 204}, {115,
203}, {114, 202}, {113, 201}, {112, 200}, {55, 143}, {54, 142}, {53, 141}, {52,
140}, {51, 139}, {50, 138}, {49, 137}, {48, 136}, {39, 159}, {38, 158}, {33,
153}, {34, 154}, {35, 155}, {36, 156}, {37, 157}, {96, 216}, {97, 217}, {98,
218}, {99, 219}, {100, 220}, {101, 221}, {102, 222}, {103, 223}, {1, 209}, {2,
210}, {3, 211}, {4, 212}, {5, 213}, {6, 214}, {7, 215}, {8, 216}, {9, 217}, {10,
218}, {11, 219}, {12, 220}, {13, 221}, {14, 222}, {15, 223}, {32, 240}, {64,
152}, {65, 153}, {66, 154}, {67, 155}, {68, 156}, {69, 157}, {70, 158}, {71,
159}, {96, 184}, {97, 185}, {98, 186}, {99, 187}, {100, 188}, {101, 189}, {102,
190}, {103, 191}, {123, 152}, {127, 156}, {124, 153}, {126, 155}, {125, 154},
{72, 160}, {73, 161}, {74, 162}, {75, 163}, {76, 164}, {77, 165}, {78, 166},
{79, 167}, {88, 176}, {89, 177}, {90, 178}, {91, 179}, {92, 180}, {93, 181},
{94, 182}, {95, 183}, {122, 151}, {121, 150}, {16, 224}, {17, 225}, {18, 226},
{19, 227}, {20, 228}, {21, 229}, {22, 230}, {23, 231}, {24, 232}, {25, 233},
{26, 234}, {27, 235}, {28, 236}, {29, 237}, {30, 238}, {31, 239}, {64, 184},
{65, 185}, {66, 186}, {67, 187}, {68, 188}, {69, 189}, {70, 190}, {71, 191},
{80, 168}, {81, 169}, {82, 170}, {83, 171}, {84, 172}, {85, 173}, {86, 174},
{87, 175} }>;
(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, 121)(3, 33)(4, 34)(5, 154)(6, 66)(7, 67)(8, 187)(9, 99)(10, 100)(11,
220)(14, 133)(15, 45)(16, 46)(17, 166)(18, 78)(19, 79)(20, 199)(21, 111)(22,
112)(23, 232)(26, 145)(27, 57)(28, 58)(29, 178)(30, 90)(31, 91)(32, 211)(35,
124)(38, 157)(39, 69)(40, 70)(41, 190)(42, 102)(43, 103)(44, 223)(47, 136)(50,
169)(51, 81)(52, 82)(53, 202)(54, 114)(55, 115)(56, 235)(59, 148)(62, 181)(63,
93)(64, 94)(65, 214)(68, 127)(71, 160)(74, 193)(75, 105)(76, 106)(77, 226)(80,
139)(83, 172)(86, 205)(87, 117)(88, 118)(89, 238)(92, 151)(95, 184)(98,
217)(101, 130)(104, 163)(107, 196)(110, 229)(113, 142)(116, 175)(119, 208)(122,
212)(123, 153)(126, 186)(128, 158)(129, 219)(131, 191)(134, 224)(135, 165)(138,
198)(140, 170)(141, 231)(143, 203)(146, 236)(147, 177)(150, 210)(152, 182)(155,
215)(159, 189)(162, 222)(164, 194)(167, 227)(171, 201)(174, 234)(176, 206)(179,
239)(183, 213)(188, 218)(195, 225)(200, 230)(207, 237) (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, 209, 121, 120)(3, 89, 212, 208)(4, 88)(5, 176, 124, 87)(6, 56, 215,
175)(7, 55)(8, 143, 127, 54)(9, 23, 218, 142)(10, 22)(11, 230, 130, 21)(12, 110,
221, 229)(13, 109)(14, 197, 133, 108)(15, 77, 224, 196)(16, 76)(17, 164, 136,
75)(18, 44, 227, 163)(19, 43)(20, 131, 139, 42)(24, 98, 233, 217)(25, 97)(26,
185, 145, 96)(27, 65, 236, 184)(28, 64)(29, 152, 148, 63)(30, 32, 239, 151)(33,
119, 122, 238)(34, 118)(35, 206, 154, 117)(36, 86, 125, 205)(37, 85)(38, 173,
157, 84)(39, 53, 128, 172)(40, 52)(41, 140, 160, 51)(45, 107, 134, 226)(46,
106)(47, 194, 166, 105)(48, 74, 137, 193)(49, 73)(50, 161, 169, 72)(57, 95, 146,
214)(58, 94)(59, 182, 178, 93)(60, 62, 149, 181)(66, 116, 155, 235)(67, 115)(68,
203, 187, 114)(69, 83, 158, 202)(70, 82)(71, 170, 190, 81)(78, 104, 167,
223)(79, 103)(80, 191, 199, 102)(90, 92, 179, 211)(99, 113, 188, 232)(100,
112)(101, 200, 220, 111)(123, 177, 183, 237)(126, 144, 186, 204)(129, 231, 189,
171)(132, 198, 192, 138)(135, 165, 195, 225)(141, 219, 201, 159)(147, 153, 207,
213)(150, 240, 210, 180)(156, 174, 216, 234)(162, 228, 222, 168)
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, 32 ]
240
-1 121 209 2 120
-2 1 122 210 3
-3 2 123 211 4
-4 3 124 212 5
-5 4 125 213 6
-6 5 126 214 7
-7 6 127 215 8
-8 7 128 216 9
-9 8 129 217 10
-10 11 9 130 218
-11 12 10 131 219
-12 11 132 220 13
-13 12 133 221 14
-14 13 134 222 15
-15 14 135 223 16
-16 15 136 224 17
-17 16 137 225 18
-18 17 138 226 19
-19 18 139 227 20
-20 19 140 228 21
-21 22 20 141 229
-22 23 21 142 230
-23 22 143 231 24
-24 23 144 232 25
-25 24 145 233 26
-26 25 146 234 27
-27 26 147 235 28
-28 27 148 236 29
-29 28 149 237 30
-30 29 150 238 31
-31 30 151 239 32
-32 33 31 152 240
-33 121 34 32 153
-34 33 154 122 35
-35 34 155 123 36
-36 35 156 124 37
-37 36 157 125 38
-38 37 158 126 39
-39 38 159 127 40
-40 39 160 128 41
-41 40 161 129 42
-42 41 162 130 43
-43 44 42 163 131
-44 132 45 43 164
-45 44 165 133 46
-46 45 166 134 47
-47 46 167 135 48
-48 47 168 136 49
-49 48 169 137 50
-50 49 170 138 51
-51 50 171 139 52
-52 51 172 140 53
-53 52 173 141 54
-54 55 53 174 142
-55 143 56 54 175
-56 55 176 144 57
-57 56 177 145 58
-58 57 178 146 59
-59 58 179 147 60
-60 59 180 148 61
-61 60 181 149 62
-62 61 182 150 63
-63 62 183 151 64
-64 63 184 152 65
-65 66 64 185 153
-66 154 67 65 186
-67 66 187 155 68
-68 67 188 156 69
-69 68 189 157 70
-70 69 190 158 71
-71 70 191 159 72
-72 71 192 160 73
-73 72 193 161 74
-74 73 194 162 75
-75 74 195 163 76
-76 77 75 196 164
-77 165 78 76 197
-78 77 198 166 79
-79 78 199 167 80
-80 79 200 168 81
-81 80 201 169 82
-82 81 202 170 83
-83 82 203 171 84
-84 83 204 172 85
-85 84 205 173 86
-86 85 206 174 87
-87 88 86 207 175
-88 176 89 87 208
-89 88 209 177 90
-90 89 210 178 91
-91 90 211 179 92
-92 91 212 180 93
-93 92 213 181 94
-94 93 214 182 95
-95 94 215 183 96
-96 95 216 184 97
-97 96 217 185 98
-98 99 97 218 186
-99 187 100 98 219
-100 99 220 188 101
-101 100 221 189 102
-102 101 222 190 103
-103 102 223 191 104
-104 103 224 192 105
-105 104 225 193 106
-106 105 226 194 107
-107 106 227 195 108
-108 107 228 196 109
-109 110 108 229 197
-110 198 111 109 230
-111 110 231 199 112
-112 111 232 200 113
-113 112 233 201 114
-114 113 234 202 115
-115 114 235 203 116
-116 115 236 204 117
-117 116 237 205 118
-118 117 238 206 119
-119 118 239 207 120
-120 1 119 240 208
-121 33 1 212 150
-122 34 2 213 151
-123 35 3 214 152
-124 36 4 215 153
-125 154 37 5 216
-126 155 38 6 217
-127 156 39 7 218
-128 157 40 8 219
-129 220 158 41 9
-130 221 159 42 10
-131 11 222 160 43
-132 44 12 223 161
-133 45 13 224 162
-134 46 14 225 163
-135 47 15 226 164
-136 165 48 16 227
-137 166 49 17 228
-138 167 50 18 229
-139 168 51 19 230
-140 231 169 52 20
-141 232 170 53 21
-142 22 233 171 54
-143 55 23 234 172
-144 56 24 235 173
-145 57 25 236 174
-146 58 26 237 175
-147 176 59 27 238
-148 177 60 28 239
-149 178 61 29 240
-150 121 179 62 30
-151 122 180 63 31
-152 123 181 64 32
-153 33 124 182 65
-154 66 34 125 183
-155 67 35 126 184
-156 68 36 127 185
-157 69 37 128 186
-158 187 70 38 129
-159 188 71 39 130
-160 189 72 40 131
-161 132 190 73 41
-162 133 191 74 42
-163 134 192 75 43
-164 44 135 193 76
-165 77 45 136 194
-166 78 46 137 195
-167 79 47 138 196
-168 80 48 139 197
-169 198 81 49 140
-170 199 82 50 141
-171 200 83 51 142
-172 143 201 84 52
-173 144 202 85 53
-174 145 203 86 54
-175 55 146 204 87
-176 88 56 147 205
-177 89 57 148 206
-178 90 58 149 207
-179 91 59 150 208
-180 209 92 60 151
-181 210 93 61 152
-182 211 94 62 153
-183 154 212 95 63
-184 155 213 96 64
-185 156 214 97 65
-186 66 157 215 98
-187 99 67 158 216
-188 100 68 159 217
-189 101 69 160 218
-190 102 70 161 219
-191 220 103 71 162
-192 221 104 72 163
-193 222 105 73 164
-194 165 223 106 74
-195 166 224 107 75
-196 167 225 108 76
-197 77 168 226 109
-198 110 78 169 227
-199 111 79 170 228
-200 112 80 171 229
-201 113 81 172 230
-202 231 114 82 173
-203 232 115 83 174
-204 233 116 84 175
-205 176 234 117 85
-206 177 235 118 86
-207 178 236 119 87
-208 88 179 237 120
-209 1 89 180 238
-210 2 90 181 239
-211 3 91 182 240
-212 121 4 92 183
-213 122 5 93 184
-214 123 6 94 185
-215 124 7 95 186
-216 187 125 8 96
-217 188 126 9 97
-218 189 127 10 98
-219 11 99 190 128
-220 12 100 191 129
-221 13 101 192 130
-222 14 102 193 131
-223 132 15 103 194
-224 133 16 104 195
-225 134 17 105 196
-226 135 18 106 197
-227 198 136 19 107
-228 199 137 20 108
-229 200 138 21 109
-230 22 110 201 139
-231 23 111 202 140
-232 24 112 203 141
-233 25 113 204 142
-234 143 26 114 205
-235 144 27 115 206
-236 145 28 116 207
-237 146 29 117 208
-238 209 147 30 118
-239 210 148 31 119
-240 211 149 32 120
0