Graph forms
for C4 [ 242, 2 ] = {4,4}_11,11
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On this page are computer-accessible forms for the graph C4[ 242, 2 ] =
{4,4}_11,11.
(I) Following is a form readable by MAGMA:
g:=Graph<242|{ {2, 3}, {240, 241}, {238, 239}, {236, 237}, {234, 235}, {232,
233}, {230, 231}, {228, 229}, {226, 227}, {224, 225}, {222, 223}, {218, 219},
{216, 217}, {214, 215}, {212, 213}, {210, 211}, {208, 209}, {206, 207}, {204,
205}, {202, 203}, {200, 201}, {196, 197}, {194, 195}, {192, 193}, {190, 191},
{188, 189}, {186, 187}, {184, 185}, {182, 183}, {180, 181}, {178, 179}, {174,
175}, {172, 173}, {170, 171}, {168, 169}, {166, 167}, {94, 95}, {92, 93}, {90,
91}, {86, 87}, {84, 85}, {82, 83}, {80, 81}, {78, 79}, {76, 77}, {74, 75}, {72,
73}, {70, 71}, {68, 69}, {64, 65}, {62, 63}, {60, 61}, {58, 59}, {56, 57}, {4,
5}, {6, 7}, {8, 9}, {10, 11}, {12, 13}, {14, 15}, {16, 17}, {18, 19}, {20, 21},
{24, 25}, {26, 27}, {28, 29}, {30, 31}, {32, 33}, {34, 35}, {36, 37}, {38, 39},
{40, 41}, {42, 43}, {46, 47}, {48, 49}, {50, 51}, {52, 53}, {54, 55}, {96, 97},
{98, 99}, {100, 101}, {102, 103}, {104, 105}, {106, 107}, {108, 109}, {112,
113}, {114, 115}, {116, 117}, {118, 119}, {120, 121}, {122, 123}, {124, 125},
{126, 127}, {128, 129}, {130, 131}, {134, 135}, {136, 137}, {138, 139}, {140,
141}, {142, 143}, {144, 145}, {146, 147}, {148, 149}, {150, 151}, {152, 153},
{156, 157}, {158, 159}, {160, 161}, {162, 163}, {164, 165}, {1, 2}, {241, 242},
{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}, {93,
94}, {89, 90}, {85, 86}, {81, 82}, {77, 78}, {73, 74}, {69, 70}, {65, 66}, {61,
62}, {57, 58}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22}, {25, 26}, {29,
30}, {33, 34}, {37, 38}, {41, 42}, {45, 46}, {49, 50}, {53, 54}, {97, 98}, {101,
102}, {105, 106}, {109, 110}, {113, 114}, {117, 118}, {121, 122}, {125, 126},
{129, 130}, {133, 134}, {137, 138}, {141, 142}, {145, 146}, {149, 150}, {153,
154}, {157, 158}, {161, 162}, {3, 4}, {235, 236}, {227, 228}, {219, 220}, {211,
212}, {203, 204}, {195, 196}, {187, 188}, {179, 180}, {171, 172}, {91, 92}, {83,
84}, {75, 76}, {67, 68}, {59, 60}, {11, 12}, {19, 20}, {27, 28}, {35, 36}, {43,
44}, {51, 52}, {99, 100}, {107, 108}, {115, 116}, {123, 124}, {131, 132}, {139,
140}, {147, 148}, {155, 156}, {163, 164}, {7, 8}, {231, 232}, {215, 216}, {199,
200}, {183, 184}, {167, 168}, {87, 88}, {71, 72}, {55, 56}, {23, 24}, {39, 40},
{103, 104}, {119, 120}, {135, 136}, {151, 152}, {1, 23}, {201, 223}, {200, 222},
{193, 215}, {192, 214}, {169, 191}, {168, 190}, {73, 95}, {72, 94}, {65, 87},
{64, 86}, {8, 30}, {9, 31}, {32, 54}, {33, 55}, {40, 62}, {41, 63}, {96, 118},
{97, 119}, {104, 126}, {105, 127}, {128, 150}, {129, 151}, {136, 158}, {137,
159}, {160, 182}, {161, 183}, {1, 22}, {2, 24}, {199, 221}, {198, 220}, {195,
217}, {194, 216}, {167, 189}, {166, 188}, {71, 93}, {70, 92}, {67, 89}, {66,
88}, {3, 25}, {6, 28}, {7, 29}, {34, 56}, {35, 57}, {38, 60}, {39, 61}, {98,
120}, {99, 121}, {102, 124}, {103, 125}, {130, 152}, {131, 153}, {134, 156},
{135, 157}, {162, 184}, {163, 185}, {67, 88}, {199, 220}, {4, 26}, {197, 219},
{196, 218}, {165, 187}, {69, 91}, {68, 90}, {5, 27}, {36, 58}, {37, 59}, {100,
122}, {101, 123}, {132, 154}, {133, 155}, {164, 186}, {15, 16}, {239, 240},
{207, 208}, {175, 176}, {79, 80}, {47, 48}, {111, 112}, {133, 154}, {143, 144},
{10, 32}, {219, 241}, {218, 240}, {207, 229}, {206, 228}, {203, 225}, {202,
224}, {94, 116}, {91, 113}, {90, 112}, {79, 101}, {78, 100}, {75, 97}, {74, 96},
{11, 33}, {14, 36}, {15, 37}, {26, 48}, {27, 49}, {30, 52}, {31, 53}, {95, 117},
{138, 160}, {139, 161}, {142, 164}, {143, 165}, {154, 176}, {155, 177}, {158,
180}, {159, 181}, {155, 176}, {12, 34}, {220, 242}, {205, 227}, {204, 226}, {93,
115}, {92, 114}, {77, 99}, {76, 98}, {13, 35}, {28, 50}, {29, 51}, {140, 162},
{141, 163}, {156, 178}, {157, 179}, {221, 242}, {16, 38}, {217, 239}, {216,
238}, {209, 231}, {208, 230}, {89, 111}, {88, 110}, {81, 103}, {80, 102}, {17,
39}, {24, 46}, {25, 47}, {144, 166}, {145, 167}, {152, 174}, {153, 175}, {89,
110}, {18, 40}, {215, 237}, {214, 236}, {211, 233}, {210, 232}, {87, 109}, {86,
108}, {83, 105}, {82, 104}, {19, 41}, {22, 44}, {23, 45}, {146, 168}, {147,
169}, {150, 172}, {151, 173}, {23, 44}, {20, 42}, {213, 235}, {212, 234}, {85,
107}, {84, 106}, {21, 43}, {148, 170}, {149, 171}, {31, 32}, {223, 224}, {95,
96}, {159, 160}, {42, 64}, {191, 213}, {190, 212}, {187, 209}, {186, 208}, {175,
197}, {174, 196}, {171, 193}, {170, 192}, {63, 85}, {62, 84}, {59, 81}, {58,
80}, {43, 65}, {46, 68}, {47, 69}, {44, 66}, {189, 211}, {188, 210}, {173, 195},
{172, 194}, {61, 83}, {60, 82}, {45, 67}, {45, 66}, {48, 70}, {185, 207}, {184,
206}, {177, 199}, {176, 198}, {57, 79}, {56, 78}, {49, 71}, {177, 198}, {50,
72}, {183, 205}, {182, 204}, {179, 201}, {178, 200}, {55, 77}, {51, 73}, {54,
76}, {52, 74}, {181, 203}, {180, 202}, {53, 75}, {63, 64}, {191, 192}, {12,
221}, {14, 223}, {13, 222}, {8, 239}, {1, 232}, {3, 234}, {5, 236}, {7, 238},
{106, 128}, {107, 129}, {110, 132}, {111, 133}, {122, 144}, {123, 145}, {126,
148}, {127, 149}, {2, 233}, {6, 237}, {111, 132}, {108, 130}, {109, 131}, {124,
146}, {125, 147}, {4, 235}, {15, 224}, {16, 225}, {18, 227}, {20, 229}, {22,
231}, {17, 226}, {21, 230}, {112, 134}, {113, 135}, {120, 142}, {121, 143}, {19,
228}, {9, 240}, {11, 242}, {114, 136}, {115, 137}, {118, 140}, {119, 141}, {10,
241}, {116, 138}, {117, 139}, {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, 22)(3, 21)(4, 20)(5, 19)(6, 18)(7, 17)(8, 16)(9, 15)(10, 14)(11, 13)(24,
44)(25, 43)(26, 42)(27, 41)(28, 40)(29, 39)(30, 38)(31, 37)(32, 36)(33, 35)(46,
66)(47, 65)(48, 64)(49, 63)(50, 62)(51, 61)(52, 60)(53, 59)(54, 58)(55, 57)(68,
88)(69, 87)(70, 86)(71, 85)(72, 84)(73, 83)(74, 82)(75, 81)(76, 80)(77, 79)(90,
110)(91, 109)(92, 108)(93, 107)(94, 106)(95, 105)(96, 104)(97, 103)(98, 102)(99,
101)(112, 132)(113, 131)(114, 130)(115, 129)(116, 128)(117, 127)(118, 126)(119,
125)(120, 124)(121, 123)(134, 154)(135, 153)(136, 152)(137, 151)(138, 150)(139,
149)(140, 148)(141, 147)(142, 146)(143, 145)(156, 176)(157, 175)(158, 174)(159,
173)(160, 172)(161, 171)(162, 170)(163, 169)(164, 168)(165, 167)(178, 198)(179,
197)(180, 196)(181, 195)(182, 194)(183, 193)(184, 192)(185, 191)(186, 190)(187,
189)(200, 220)(201, 219)(202, 218)(203, 217)(204, 216)(205, 215)(206, 214)(207,
213)(208, 212)(209, 211)(222, 242)(223, 241)(224, 240)(225, 239)(226, 238)(227,
237)(228, 236)(229, 235)(230, 234)(231, 233) (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, 241, 242)
c: (2, 232)(3, 210)(4, 188)(5, 166)(6, 144)(7, 122)(8, 100)(9, 78)(10, 56)(11,
34)(13, 221)(14, 199)(15, 177)(16, 155)(17, 133)(18, 111)(19, 89)(20, 67)(21,
45)(22, 23)(24, 231)(25, 209)(26, 187)(27, 165)(28, 143)(29, 121)(30, 99)(31,
77)(32, 55)(35, 242)(36, 220)(37, 198)(38, 176)(39, 154)(40, 132)(41, 110)(42,
88)(43, 66)(46, 230)(47, 208)(48, 186)(49, 164)(50, 142)(51, 120)(52, 98)(53,
76)(57, 241)(58, 219)(59, 197)(60, 175)(61, 153)(62, 131)(63, 109)(64, 87)(68,
229)(69, 207)(70, 185)(71, 163)(72, 141)(73, 119)(74, 97)(79, 240)(80, 218)(81,
196)(82, 174)(83, 152)(84, 130)(85, 108)(90, 228)(91, 206)(92, 184)(93, 162)(94,
140)(95, 118)(101, 239)(102, 217)(103, 195)(104, 173)(105, 151)(106, 129)(112,
227)(113, 205)(114, 183)(115, 161)(116, 139)(123, 238)(124, 216)(125, 194)(126,
172)(127, 150)(134, 226)(135, 204)(136, 182)(137, 160)(145, 237)(146, 215)(147,
193)(148, 171)(156, 225)(157, 203)(158, 181)(167, 236)(168, 214)(169, 192)(178,
224)(179, 202)(189, 235)(190, 213)(200, 223)(211, 234)
C4[ 242, 2 ]
242
-1 22 23 232 2
-2 1 24 233 3
-3 2 25 234 4
-4 3 26 235 5
-5 4 27 236 6
-6 5 28 237 7
-7 6 29 238 8
-8 7 30 239 9
-9 8 31 240 10
-10 11 9 32 241
-11 33 242 12 10
-12 11 34 221 13
-13 12 35 222 14
-14 13 36 223 15
-15 14 37 224 16
-16 15 38 225 17
-17 16 39 226 18
-18 17 40 227 19
-19 18 41 228 20
-20 19 42 229 21
-21 22 20 43 230
-22 44 231 1 21
-23 44 1 45 24
-24 23 2 46 25
-25 24 3 47 26
-26 25 4 48 27
-27 26 5 49 28
-28 27 6 50 29
-29 28 7 51 30
-30 29 8 52 31
-31 30 9 53 32
-32 33 31 10 54
-33 11 55 34 32
-34 33 12 56 35
-35 34 13 57 36
-36 35 14 58 37
-37 36 15 59 38
-38 37 16 60 39
-39 38 17 61 40
-40 39 18 62 41
-41 40 19 63 42
-42 41 20 64 43
-43 44 42 21 65
-44 22 66 23 43
-45 66 23 67 46
-46 45 24 68 47
-47 46 25 69 48
-48 47 26 70 49
-49 48 27 71 50
-50 49 28 72 51
-51 50 29 73 52
-52 51 30 74 53
-53 52 31 75 54
-54 55 53 32 76
-55 33 77 56 54
-56 55 34 78 57
-57 56 35 79 58
-58 57 36 80 59
-59 58 37 81 60
-60 59 38 82 61
-61 60 39 83 62
-62 61 40 84 63
-63 62 41 85 64
-64 63 42 86 65
-65 66 64 43 87
-66 44 88 45 65
-67 88 45 89 68
-68 67 46 90 69
-69 68 47 91 70
-70 69 48 92 71
-71 70 49 93 72
-72 71 50 94 73
-73 72 51 95 74
-74 73 52 96 75
-75 74 53 97 76
-76 77 75 54 98
-77 55 99 78 76
-78 77 56 100 79
-79 78 57 101 80
-80 79 58 102 81
-81 80 59 103 82
-82 81 60 104 83
-83 82 61 105 84
-84 83 62 106 85
-85 84 63 107 86
-86 85 64 108 87
-87 88 86 65 109
-88 66 110 67 87
-89 110 67 111 90
-90 89 68 112 91
-91 90 69 113 92
-92 91 70 114 93
-93 92 71 115 94
-94 93 72 116 95
-95 94 73 117 96
-96 95 74 118 97
-97 96 75 119 98
-98 99 97 76 120
-99 77 121 100 98
-100 99 78 122 101
-101 100 79 123 102
-102 101 80 124 103
-103 102 81 125 104
-104 103 82 126 105
-105 104 83 127 106
-106 105 84 128 107
-107 106 85 129 108
-108 107 86 130 109
-109 110 108 87 131
-110 88 132 89 109
-111 132 89 133 112
-112 111 90 134 113
-113 112 91 135 114
-114 113 92 136 115
-115 114 93 137 116
-116 115 94 138 117
-117 116 95 139 118
-118 117 96 140 119
-119 118 97 141 120
-120 121 119 98 142
-121 99 143 122 120
-122 121 100 144 123
-123 122 101 145 124
-124 123 102 146 125
-125 124 103 147 126
-126 125 104 148 127
-127 126 105 149 128
-128 127 106 150 129
-129 128 107 151 130
-130 129 108 152 131
-131 132 130 109 153
-132 110 154 111 131
-133 154 111 155 134
-134 133 112 156 135
-135 134 113 157 136
-136 135 114 158 137
-137 136 115 159 138
-138 137 116 160 139
-139 138 117 161 140
-140 139 118 162 141
-141 140 119 163 142
-142 143 141 120 164
-143 121 165 144 142
-144 143 122 166 145
-145 144 123 167 146
-146 145 124 168 147
-147 146 125 169 148
-148 147 126 170 149
-149 148 127 171 150
-150 149 128 172 151
-151 150 129 173 152
-152 151 130 174 153
-153 154 152 131 175
-154 132 176 133 153
-155 176 133 177 156
-156 155 134 178 157
-157 156 135 179 158
-158 157 136 180 159
-159 158 137 181 160
-160 159 138 182 161
-161 160 139 183 162
-162 161 140 184 163
-163 162 141 185 164
-164 165 163 142 186
-165 143 187 166 164
-166 165 144 188 167
-167 166 145 189 168
-168 167 146 190 169
-169 168 147 191 170
-170 169 148 192 171
-171 170 149 193 172
-172 171 150 194 173
-173 172 151 195 174
-174 173 152 196 175
-175 176 174 153 197
-176 154 198 155 175
-177 198 155 199 178
-178 177 156 200 179
-179 178 157 201 180
-180 179 158 202 181
-181 180 159 203 182
-182 181 160 204 183
-183 182 161 205 184
-184 183 162 206 185
-185 184 163 207 186
-186 187 185 164 208
-187 165 209 188 186
-188 187 166 210 189
-189 188 167 211 190
-190 189 168 212 191
-191 190 169 213 192
-192 191 170 214 193
-193 192 171 215 194
-194 193 172 216 195
-195 194 173 217 196
-196 195 174 218 197
-197 198 196 175 219
-198 176 220 177 197
-199 220 177 221 200
-200 199 178 222 201
-201 200 179 223 202
-202 201 180 224 203
-203 202 181 225 204
-204 203 182 226 205
-205 204 183 227 206
-206 205 184 228 207
-207 206 185 229 208
-208 209 207 186 230
-209 187 231 210 208
-210 209 188 232 211
-211 210 189 233 212
-212 211 190 234 213
-213 212 191 235 214
-214 213 192 236 215
-215 214 193 237 216
-216 215 194 238 217
-217 216 195 239 218
-218 217 196 240 219
-219 220 218 197 241
-220 198 242 199 219
-221 242 12 199 222
-222 221 13 200 223
-223 222 14 201 224
-224 223 15 202 225
-225 224 16 203 226
-226 225 17 204 227
-227 226 18 205 228
-228 227 19 206 229
-229 228 20 207 230
-230 231 229 21 208
-231 22 209 232 230
-232 231 1 210 233
-233 232 2 211 234
-234 233 3 212 235
-235 234 4 213 236
-236 235 5 214 237
-237 236 6 215 238
-238 237 7 216 239
-239 238 8 217 240
-240 239 9 218 241
-241 242 240 10 219
-242 11 220 221 241
0