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