Graph forms
for C4 [ 237, 1 ] = C_237(1,80)
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On this page are computer-accessible forms for the graph C4[ 237, 1 ] =
C_237(1,80).
(I) Following is a form readable by MAGMA:
g:=Graph<237|{ {2, 3}, {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}, {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}, {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}, {1, 2}, {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}, {129,
130}, {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}, {113, 114}, {117, 118}, {121, 122},
{125, 126}, {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}, {43, 44}, {11, 12},
{19, 20}, {27, 28}, {35, 36}, {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}, {55, 56}, {23, 24}, {39, 40}, {71,
72}, {87, 88}, {103, 104}, {119, 120}, {15, 16}, {207, 208}, {175, 176}, {143,
144}, {47, 48}, {79, 80}, {111, 112}, {31, 32}, {223, 224}, {159, 160}, {95,
96}, {1, 81}, {143, 223}, {142, 222}, {141, 221}, {140, 220}, {139, 219}, {138,
218}, {137, 217}, {136, 216}, {135, 215}, {134, 214}, {133, 213}, {132, 212},
{131, 211}, {130, 210}, {129, 209}, {47, 127}, {46, 126}, {45, 125}, {44, 124},
{43, 123}, {42, 122}, {41, 121}, {40, 120}, {2, 82}, {3, 83}, {4, 84}, {5, 85},
{6, 86}, {7, 87}, {8, 88}, {9, 89}, {10, 90}, {11, 91}, {12, 92}, {13, 93}, {14,
94}, {15, 95}, {32, 112}, {33, 113}, {34, 114}, {35, 115}, {36, 116}, {37, 117},
{38, 118}, {39, 119}, {128, 208}, {16, 96}, {157, 237}, {156, 236}, {155, 235},
{154, 234}, {153, 233}, {152, 232}, {151, 231}, {150, 230}, {149, 229}, {148,
228}, {147, 227}, {146, 226}, {145, 225}, {144, 224}, {17, 97}, {18, 98}, {19,
99}, {20, 100}, {21, 101}, {22, 102}, {23, 103}, {24, 104}, {25, 105}, {26,
106}, {27, 107}, {28, 108}, {29, 109}, {30, 110}, {31, 111}, {63, 64}, {191,
192}, {2, 159}, {66, 223}, {64, 221}, {32, 189}, {34, 191}, {1, 158}, {65, 222},
{33, 190}, {3, 160}, {67, 224}, {7, 164}, {11, 168}, {15, 172}, {19, 176}, {23,
180}, {27, 184}, {31, 188}, {71, 228}, {75, 232}, {79, 236}, {4, 161}, {6, 163},
{12, 169}, {14, 171}, {20, 177}, {22, 179}, {28, 185}, {30, 187}, {68, 225},
{70, 227}, {76, 233}, {78, 235}, {5, 162}, {13, 170}, {21, 178}, {29, 186}, {69,
226}, {77, 234}, {8, 165}, {10, 167}, {24, 181}, {26, 183}, {72, 229}, {74,
231}, {9, 166}, {25, 182}, {73, 230}, {48, 128}, {63, 143}, {62, 142}, {61,
141}, {60, 140}, {59, 139}, {58, 138}, {57, 137}, {56, 136}, {55, 135}, {54,
134}, {53, 133}, {52, 132}, {51, 131}, {50, 130}, {49, 129}, {112, 192}, {113,
193}, {114, 194}, {115, 195}, {116, 196}, {117, 197}, {118, 198}, {119, 199},
{120, 200}, {121, 201}, {122, 202}, {123, 203}, {124, 204}, {125, 205}, {126,
206}, {127, 207}, {16, 173}, {18, 175}, {80, 237}, {17, 174}, {64, 144}, {67,
147}, {66, 146}, {65, 145}, {68, 148}, {69, 149}, {70, 150}, {71, 151}, {72,
152}, {73, 153}, {74, 154}, {75, 155}, {76, 156}, {77, 157}, {78, 158}, {79,
159}, {96, 176}, {97, 177}, {98, 178}, {99, 179}, {100, 180}, {101, 181}, {102,
182}, {103, 183}, {104, 184}, {105, 185}, {106, 186}, {107, 187}, {108, 188},
{109, 189}, {110, 190}, {111, 191}, {35, 192}, {63, 220}, {59, 216}, {55, 212},
{51, 208}, {47, 204}, {43, 200}, {39, 196}, {36, 193}, {62, 219}, {60, 217},
{54, 211}, {52, 209}, {46, 203}, {44, 201}, {38, 195}, {37, 194}, {61, 218},
{53, 210}, {45, 202}, {1, 237}, {40, 197}, {58, 215}, {56, 213}, {42, 199}, {41,
198}, {57, 214}, {80, 160}, {81, 161}, {82, 162}, {83, 163}, {84, 164}, {85,
165}, {86, 166}, {87, 167}, {88, 168}, {89, 169}, {90, 170}, {91, 171}, {92,
172}, {93, 173}, {94, 174}, {95, 175}, {48, 205}, {50, 207}, {49, 206}, {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, 158)(3, 78)(4, 235)(5, 155)(6, 75)(7, 232)(8, 152)(9, 72)(10, 229)(11,
149)(12, 69)(13, 226)(14, 146)(15, 66)(16, 223)(17, 143)(18, 63)(19, 220)(20,
140)(21, 60)(22, 217)(23, 137)(24, 57)(25, 214)(26, 134)(27, 54)(28, 211)(29,
131)(30, 51)(31, 208)(32, 128)(33, 48)(34, 205)(35, 125)(36, 45)(37, 202)(38,
122)(39, 42)(40, 199)(41, 119)(43, 196)(44, 116)(46, 193)(47, 113)(49, 190)(50,
110)(52, 187)(53, 107)(55, 184)(56, 104)(58, 181)(59, 101)(61, 178)(62, 98)(64,
175)(65, 95)(67, 172)(68, 92)(70, 169)(71, 89)(73, 166)(74, 86)(76, 163)(77,
83)(79, 160)(81, 237)(82, 157)(84, 234)(85, 154)(87, 231)(88, 151)(90, 228)(91,
148)(93, 225)(94, 145)(96, 222)(97, 142)(99, 219)(100, 139)(102, 216)(103,
136)(105, 213)(106, 133)(108, 210)(109, 130)(111, 207)(112, 127)(114, 204)(115,
124)(117, 201)(118, 121)(120, 198)(123, 195)(126, 192)(129, 189)(132, 186)(135,
183)(138, 180)(141, 177)(144, 174)(147, 171)(150, 168)(153, 165)(156, 162)(161,
236)(164, 233)(167, 230)(170, 227)(173, 224)(176, 221)(179, 218)(182, 215)(185,
212)(188, 209)(191, 206)(194, 203)(197, 200) (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)
c: (2, 81)(3, 161)(5, 84)(6, 164)(8, 87)(9, 167)(11, 90)(12, 170)(14, 93)(15,
173)(17, 96)(18, 176)(20, 99)(21, 179)(23, 102)(24, 182)(26, 105)(27, 185)(29,
108)(30, 188)(32, 111)(33, 191)(35, 114)(36, 194)(38, 117)(39, 197)(41, 120)(42,
200)(44, 123)(45, 203)(47, 126)(48, 206)(50, 129)(51, 209)(53, 132)(54, 212)(56,
135)(57, 215)(59, 138)(60, 218)(62, 141)(63, 221)(65, 144)(66, 224)(68, 147)(69,
227)(71, 150)(72, 230)(74, 153)(75, 233)(77, 156)(78, 236)(80, 159)(83, 162)(86,
165)(89, 168)(92, 171)(95, 174)(98, 177)(101, 180)(104, 183)(107, 186)(110,
189)(113, 192)(116, 195)(119, 198)(122, 201)(125, 204)(128, 207)(131, 210)(134,
213)(137, 216)(140, 219)(143, 222)(146, 225)(149, 228)(152, 231)(155, 234)(158,
237)
C4[ 237, 1 ]
237
-1 2 81 158 237
-2 1 3 82 159
-3 2 4 83 160
-4 3 5 84 161
-5 4 6 85 162
-6 5 7 86 163
-7 6 8 87 164
-8 88 165 7 9
-9 89 166 8 10
-10 11 90 167 9
-11 12 91 168 10
-12 11 13 92 169
-13 12 14 93 170
-14 13 15 94 171
-15 14 16 95 172
-16 15 17 96 173
-17 16 18 97 174
-18 17 19 98 175
-19 99 176 18 20
-20 100 177 19 21
-21 22 101 178 20
-22 23 102 179 21
-23 22 24 103 180
-24 23 25 104 181
-25 24 26 105 182
-26 25 27 106 183
-27 26 28 107 184
-28 27 29 108 185
-29 28 30 109 186
-30 110 187 29 31
-31 111 188 30 32
-32 33 112 189 31
-33 34 113 190 32
-34 33 35 114 191
-35 34 36 115 192
-36 35 37 116 193
-37 36 38 117 194
-38 37 39 118 195
-39 38 40 119 196
-40 39 41 120 197
-41 121 198 40 42
-42 122 199 41 43
-43 44 123 200 42
-44 45 124 201 43
-45 44 46 125 202
-46 45 47 126 203
-47 46 48 127 204
-48 47 49 128 205
-49 48 50 129 206
-50 49 51 130 207
-51 50 52 131 208
-52 132 209 51 53
-53 133 210 52 54
-54 55 134 211 53
-55 56 135 212 54
-56 55 57 136 213
-57 56 58 137 214
-58 57 59 138 215
-59 58 60 139 216
-60 59 61 140 217
-61 60 62 141 218
-62 61 63 142 219
-63 143 220 62 64
-64 144 221 63 65
-65 66 145 222 64
-66 67 146 223 65
-67 66 68 147 224
-68 67 69 148 225
-69 68 70 149 226
-70 69 71 150 227
-71 70 72 151 228
-72 71 73 152 229
-73 72 74 153 230
-74 154 231 73 75
-75 155 232 74 76
-76 77 156 233 75
-77 78 157 234 76
-78 77 79 158 235
-79 78 80 159 236
-80 79 81 160 237
-81 1 80 82 161
-82 2 81 83 162
-83 3 82 84 163
-84 4 83 85 164
-85 165 5 84 86
-86 166 6 85 87
-87 88 167 7 86
-88 89 168 8 87
-89 88 90 169 9
-90 89 91 170 10
-91 11 90 92 171
-92 12 91 93 172
-93 13 92 94 173
-94 14 93 95 174
-95 15 94 96 175
-96 176 16 95 97
-97 177 17 96 98
-98 99 178 18 97
-99 100 179 19 98
-100 99 101 180 20
-101 100 102 181 21
-102 22 101 103 182
-103 23 102 104 183
-104 24 103 105 184
-105 25 104 106 185
-106 26 105 107 186
-107 187 27 106 108
-108 188 28 107 109
-109 110 189 29 108
-110 111 190 30 109
-111 110 112 191 31
-112 111 113 192 32
-113 33 112 114 193
-114 34 113 115 194
-115 35 114 116 195
-116 36 115 117 196
-117 37 116 118 197
-118 198 38 117 119
-119 199 39 118 120
-120 121 200 40 119
-121 122 201 41 120
-122 121 123 202 42
-123 122 124 203 43
-124 44 123 125 204
-125 45 124 126 205
-126 46 125 127 206
-127 47 126 128 207
-128 48 127 129 208
-129 209 49 128 130
-130 210 50 129 131
-131 132 211 51 130
-132 133 212 52 131
-133 132 134 213 53
-134 133 135 214 54
-135 55 134 136 215
-136 56 135 137 216
-137 57 136 138 217
-138 58 137 139 218
-139 59 138 140 219
-140 220 60 139 141
-141 221 61 140 142
-142 143 222 62 141
-143 144 223 63 142
-144 143 145 224 64
-145 144 146 225 65
-146 66 145 147 226
-147 67 146 148 227
-148 68 147 149 228
-149 69 148 150 229
-150 70 149 151 230
-151 231 71 150 152
-152 232 72 151 153
-153 154 233 73 152
-154 155 234 74 153
-155 154 156 235 75
-156 155 157 236 76
-157 77 156 158 237
-158 1 78 157 159
-159 2 79 158 160
-160 3 80 159 161
-161 4 81 160 162
-162 5 82 161 163
-163 6 83 162 164
-164 165 7 84 163
-165 166 8 85 164
-166 165 167 9 86
-167 166 168 10 87
-168 11 88 167 169
-169 12 89 168 170
-170 13 90 169 171
-171 14 91 170 172
-172 15 92 171 173
-173 16 93 172 174
-174 17 94 173 175
-175 176 18 95 174
-176 177 19 96 175
-177 176 178 20 97
-178 177 179 21 98
-179 22 99 178 180
-180 23 100 179 181
-181 24 101 180 182
-182 25 102 181 183
-183 26 103 182 184
-184 27 104 183 185
-185 28 105 184 186
-186 187 29 106 185
-187 188 30 107 186
-188 187 189 31 108
-189 188 190 32 109
-190 33 110 189 191
-191 34 111 190 192
-192 35 112 191 193
-193 36 113 192 194
-194 37 114 193 195
-195 38 115 194 196
-196 39 116 195 197
-197 198 40 117 196
-198 199 41 118 197
-199 198 200 42 119
-200 199 201 43 120
-201 44 121 200 202
-202 45 122 201 203
-203 46 123 202 204
-204 47 124 203 205
-205 48 125 204 206
-206 49 126 205 207
-207 50 127 206 208
-208 209 51 128 207
-209 210 52 129 208
-210 209 211 53 130
-211 210 212 54 131
-212 55 132 211 213
-213 56 133 212 214
-214 57 134 213 215
-215 58 135 214 216
-216 59 136 215 217
-217 60 137 216 218
-218 61 138 217 219
-219 220 62 139 218
-220 221 63 140 219
-221 220 222 64 141
-222 221 223 65 142
-223 66 143 222 224
-224 67 144 223 225
-225 68 145 224 226
-226 69 146 225 227
-227 70 147 226 228
-228 71 148 227 229
-229 72 149 228 230
-230 231 73 150 229
-231 232 74 151 230
-232 231 233 75 152
-233 232 234 76 153
-234 77 154 233 235
-235 78 155 234 236
-236 79 156 235 237
-237 1 80 157 236
0