Graph forms
for C4 [ 232, 4 ] = {4,4}_14,6
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On this page are computer-accessible forms for the graph C4[ 232, 4 ] =
{4,4}_14,6.
(I) Following is a form readable by MAGMA:
g:=Graph<232|{ {2, 3}, {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}, {128, 129}, {126, 127}, {124, 125}, {122, 123}, {120, 121}, {118,
119}, {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}, {1, 2}, {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}, {125, 126}, {121, 122}, {117, 118}, {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}, {3, 4}, {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}, {123, 124}, {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}, {7, 8}, {231, 232}, {215, 216}, {199, 200},
{183, 184}, {167, 168}, {151, 152}, {135, 136}, {119, 120}, {55, 56}, {23, 24},
{39, 40}, {71, 72}, {87, 88}, {103, 104}, {15, 16}, {207, 208}, {175, 176},
{143, 144}, {47, 48}, {79, 80}, {111, 112}, {31, 32}, {223, 224}, {159, 160},
{95, 96}, {36, 118}, {45, 127}, {44, 126}, {41, 123}, {37, 119}, {40, 122}, {35,
117}, {43, 125}, {42, 124}, {38, 120}, {39, 121}, {1, 117}, {2, 118}, {3, 119},
{8, 124}, {9, 125}, {10, 126}, {11, 127}, {1, 116}, {4, 120}, {5, 121}, {6,
122}, {7, 123}, {63, 64}, {191, 192}, {12, 128}, {63, 179}, {62, 178}, {61,
177}, {60, 176}, {47, 163}, {46, 162}, {45, 161}, {44, 160}, {13, 129}, {14,
130}, {15, 131}, {28, 144}, {29, 145}, {30, 146}, {31, 147}, {76, 192}, {77,
193}, {78, 194}, {79, 195}, {92, 208}, {93, 209}, {94, 210}, {95, 211}, {108,
224}, {109, 225}, {110, 226}, {111, 227}, {16, 132}, {115, 231}, {59, 175}, {58,
174}, {57, 173}, {56, 172}, {51, 167}, {50, 166}, {49, 165}, {48, 164}, {17,
133}, {18, 134}, {19, 135}, {24, 140}, {25, 141}, {26, 142}, {27, 143}, {80,
196}, {81, 197}, {82, 198}, {83, 199}, {88, 204}, {89, 205}, {90, 206}, {91,
207}, {112, 228}, {113, 229}, {114, 230}, {20, 136}, {116, 232}, {55, 171}, {54,
170}, {53, 169}, {52, 168}, {21, 137}, {22, 138}, {23, 139}, {84, 200}, {85,
201}, {86, 202}, {87, 203}, {117, 232}, {46, 128}, {63, 145}, {62, 144}, {47,
129}, {110, 192}, {111, 193}, {48, 130}, {116, 198}, {61, 143}, {60, 142}, {57,
139}, {56, 138}, {53, 135}, {52, 134}, {49, 131}, {112, 194}, {113, 195}, {32,
148}, {43, 159}, {42, 158}, {41, 157}, {33, 149}, {34, 150}, {35, 151}, {40,
156}, {96, 212}, {97, 213}, {98, 214}, {99, 215}, {104, 220}, {105, 221}, {106,
222}, {107, 223}, {50, 132}, {115, 197}, {59, 141}, {58, 140}, {51, 133}, {114,
196}, {36, 152}, {37, 153}, {38, 154}, {39, 155}, {100, 216}, {101, 217}, {102,
218}, {103, 219}, {54, 136}, {55, 137}, {1, 199}, {8, 206}, {9, 207}, {16, 214},
{17, 215}, {24, 222}, {25, 223}, {32, 230}, {33, 231}, {2, 200}, {3, 201}, {6,
204}, {7, 205}, {18, 216}, {19, 217}, {22, 220}, {23, 221}, {34, 232}, {4, 202},
{5, 203}, {20, 218}, {21, 219}, {64, 146}, {69, 151}, {68, 150}, {65, 147}, {72,
154}, {73, 155}, {76, 158}, {77, 159}, {96, 178}, {97, 179}, {100, 182}, {101,
183}, {104, 186}, {105, 187}, {108, 190}, {109, 191}, {66, 148}, {67, 149}, {74,
156}, {75, 157}, {98, 180}, {99, 181}, {106, 188}, {107, 189}, {10, 208}, {11,
209}, {14, 212}, {15, 213}, {12, 210}, {13, 211}, {70, 152}, {71, 153}, {102,
184}, {103, 185}, {78, 160}, {79, 161}, {94, 176}, {95, 177}, {80, 162}, {81,
163}, {84, 166}, {85, 167}, {88, 170}, {89, 171}, {92, 174}, {93, 175}, {64,
180}, {67, 183}, {66, 182}, {65, 181}, {72, 188}, {73, 189}, {74, 190}, {75,
191}, {82, 164}, {83, 165}, {90, 172}, {91, 173}, {26, 224}, {27, 225}, {30,
228}, {31, 229}, {68, 184}, {69, 185}, {70, 186}, {71, 187}, {28, 226}, {29,
227}, {86, 168}, {87, 169}, {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, 117, 116, 199)(3, 35, 115, 83)(4, 151, 114, 165)(5, 69, 113, 49)(6, 185,
112, 131)(7, 103, 111, 15)(8, 219, 110, 213)(9, 21, 109, 97)(10, 137, 108,
179)(11, 55, 107, 63)(12, 171, 106, 145)(13, 89, 105, 29)(14, 205, 104, 227)(16,
123, 102, 193)(17, 41, 101, 77)(18, 157, 100, 159)(19, 75, 99, 43)(20, 191, 98,
125)(22, 225, 96, 207)(23, 27, 95, 91)(24, 143, 94, 173)(25, 61, 93, 57)(26,
177, 92, 139)(28, 211, 90, 221)(30, 129, 88, 187)(31, 47, 87, 71)(32, 163, 86,
153)(33, 81, 85, 37)(34, 197, 84, 119)(36, 231, 82, 201)(38, 149, 80, 167)(39,
67, 79, 51)(40, 183, 78, 133)(42, 217, 76, 215)(44, 135, 74, 181)(45, 53, 73,
65)(46, 169, 72, 147)(48, 203, 70, 229)(50, 121, 68, 195)(52, 155, 66, 161)(54,
189, 64, 127)(56, 223, 62, 209)(58, 141, 60, 175)(118, 232, 198, 200)(120, 150,
196, 166)(122, 184, 194, 132)(124, 218, 192, 214)(126, 136, 190, 180)(128, 170,
188, 146)(130, 204, 186, 228)(134, 156, 182, 160)(138, 224, 178, 208)(140, 142,
176, 174)(144, 210, 172, 222)(148, 162, 168, 154)(152, 230, 164, 202)(158,
216)(206, 220, 226, 212) (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)
c: (2, 116)(3, 115)(4, 114)(5, 113)(6, 112)(7, 111)(8, 110)(9, 109)(10, 108)(11,
107)(12, 106)(13, 105)(14, 104)(15, 103)(16, 102)(17, 101)(18, 100)(19, 99)(20,
98)(21, 97)(22, 96)(23, 95)(24, 94)(25, 93)(26, 92)(27, 91)(28, 90)(29, 89)(30,
88)(31, 87)(32, 86)(33, 85)(34, 84)(35, 83)(36, 82)(37, 81)(38, 80)(39, 79)(40,
78)(41, 77)(42, 76)(43, 75)(44, 74)(45, 73)(46, 72)(47, 71)(48, 70)(49, 69)(50,
68)(51, 67)(52, 66)(53, 65)(54, 64)(55, 63)(56, 62)(57, 61)(58, 60)(117,
199)(118, 198)(119, 197)(120, 196)(121, 195)(122, 194)(123, 193)(124, 192)(125,
191)(126, 190)(127, 189)(128, 188)(129, 187)(130, 186)(131, 185)(132, 184)(133,
183)(134, 182)(135, 181)(136, 180)(137, 179)(138, 178)(139, 177)(140, 176)(141,
175)(142, 174)(143, 173)(144, 172)(145, 171)(146, 170)(147, 169)(148, 168)(149,
167)(150, 166)(151, 165)(152, 164)(153, 163)(154, 162)(155, 161)(156, 160)(157,
159)(200, 232)(201, 231)(202, 230)(203, 229)(204, 228)(205, 227)(206, 226)(207,
225)(208, 224)(209, 223)(210, 222)(211, 221)(212, 220)(213, 219)(214, 218)(215,
217)
C4[ 232, 4 ]
232
-1 199 2 116 117
-2 1 200 3 118
-3 2 201 4 119
-4 3 202 5 120
-5 121 4 203 6
-6 122 5 204 7
-7 123 6 205 8
-8 124 7 206 9
-9 125 8 207 10
-10 11 126 9 208
-11 209 12 127 10
-12 11 210 13 128
-13 12 211 14 129
-14 13 212 15 130
-15 14 213 16 131
-16 132 15 214 17
-17 133 16 215 18
-18 134 17 216 19
-19 135 18 217 20
-20 136 19 218 21
-21 22 137 20 219
-22 220 23 138 21
-23 22 221 24 139
-24 23 222 25 140
-25 24 223 26 141
-26 25 224 27 142
-27 143 26 225 28
-28 144 27 226 29
-29 145 28 227 30
-30 146 29 228 31
-31 147 30 229 32
-32 33 148 31 230
-33 231 34 149 32
-34 33 232 35 150
-35 34 36 117 151
-36 35 37 118 152
-37 36 38 119 153
-38 154 37 39 120
-39 121 155 38 40
-40 122 156 39 41
-41 123 157 40 42
-42 124 158 41 43
-43 44 125 159 42
-44 45 126 160 43
-45 44 46 127 161
-46 45 47 128 162
-47 46 48 129 163
-48 47 49 130 164
-49 165 48 50 131
-50 132 166 49 51
-51 133 167 50 52
-52 134 168 51 53
-53 135 169 52 54
-54 55 136 170 53
-55 56 137 171 54
-56 55 57 138 172
-57 56 58 139 173
-58 57 59 140 174
-59 58 60 141 175
-60 176 59 61 142
-61 143 177 60 62
-62 144 178 61 63
-63 145 179 62 64
-64 146 180 63 65
-65 66 147 181 64
-66 67 148 182 65
-67 66 68 149 183
-68 67 69 150 184
-69 68 70 151 185
-70 69 71 152 186
-71 187 70 72 153
-72 154 188 71 73
-73 155 189 72 74
-74 156 190 73 75
-75 157 191 74 76
-76 77 158 192 75
-77 78 159 193 76
-78 77 79 160 194
-79 78 80 161 195
-80 79 81 162 196
-81 80 82 163 197
-82 198 81 83 164
-83 165 199 82 84
-84 166 200 83 85
-85 167 201 84 86
-86 168 202 85 87
-87 88 169 203 86
-88 89 170 204 87
-89 88 90 171 205
-90 89 91 172 206
-91 90 92 173 207
-92 91 93 174 208
-93 209 92 94 175
-94 176 210 93 95
-95 177 211 94 96
-96 178 212 95 97
-97 179 213 96 98
-98 99 180 214 97
-99 100 181 215 98
-100 99 101 182 216
-101 100 102 183 217
-102 101 103 184 218
-103 102 104 185 219
-104 220 103 105 186
-105 187 221 104 106
-106 188 222 105 107
-107 189 223 106 108
-108 190 224 107 109
-109 110 191 225 108
-110 111 192 226 109
-111 110 112 193 227
-112 111 113 194 228
-113 112 114 195 229
-114 113 115 196 230
-115 231 114 116 197
-116 198 1 232 115
-117 1 232 35 118
-118 2 36 117 119
-119 3 37 118 120
-120 121 4 38 119
-121 122 5 39 120
-122 121 123 6 40
-123 122 124 7 41
-124 123 125 8 42
-125 124 126 9 43
-126 44 125 127 10
-127 11 45 126 128
-128 12 46 127 129
-129 13 47 128 130
-130 14 48 129 131
-131 132 15 49 130
-132 133 16 50 131
-133 132 134 17 51
-134 133 135 18 52
-135 134 136 19 53
-136 135 137 20 54
-137 55 136 138 21
-138 22 56 137 139
-139 23 57 138 140
-140 24 58 139 141
-141 25 59 140 142
-142 143 26 60 141
-143 144 27 61 142
-144 143 145 28 62
-145 144 146 29 63
-146 145 147 30 64
-147 146 148 31 65
-148 66 147 149 32
-149 33 67 148 150
-150 34 68 149 151
-151 35 69 150 152
-152 36 70 151 153
-153 154 37 71 152
-154 155 38 72 153
-155 154 156 39 73
-156 155 157 40 74
-157 156 158 41 75
-158 157 159 42 76
-159 77 158 160 43
-160 44 78 159 161
-161 45 79 160 162
-162 46 80 161 163
-163 47 81 162 164
-164 165 48 82 163
-165 166 49 83 164
-166 165 167 50 84
-167 166 168 51 85
-168 167 169 52 86
-169 168 170 53 87
-170 88 169 171 54
-171 55 89 170 172
-172 56 90 171 173
-173 57 91 172 174
-174 58 92 173 175
-175 176 59 93 174
-176 177 60 94 175
-177 176 178 61 95
-178 177 179 62 96
-179 178 180 63 97
-180 179 181 64 98
-181 99 180 182 65
-182 66 100 181 183
-183 67 101 182 184
-184 68 102 183 185
-185 69 103 184 186
-186 187 70 104 185
-187 188 71 105 186
-188 187 189 72 106
-189 188 190 73 107
-190 189 191 74 108
-191 190 192 75 109
-192 110 191 193 76
-193 77 111 192 194
-194 78 112 193 195
-195 79 113 194 196
-196 80 114 195 197
-197 198 81 115 196
-198 199 82 116 197
-199 198 1 200 83
-200 199 2 201 84
-201 200 3 202 85
-202 201 4 203 86
-203 202 5 204 87
-204 88 203 6 205
-205 89 204 7 206
-206 90 205 8 207
-207 91 206 9 208
-208 209 92 207 10
-209 11 210 93 208
-210 209 12 211 94
-211 210 13 212 95
-212 211 14 213 96
-213 212 15 214 97
-214 213 16 215 98
-215 99 214 17 216
-216 100 215 18 217
-217 101 216 19 218
-218 102 217 20 219
-219 220 103 218 21
-220 22 221 104 219
-221 220 23 222 105
-222 221 24 223 106
-223 222 25 224 107
-224 223 26 225 108
-225 224 27 226 109
-226 110 225 28 227
-227 111 226 29 228
-228 112 227 30 229
-229 113 228 31 230
-230 231 114 229 32
-231 33 232 115 230
-232 231 34 116 117
0