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