Graph forms
for C4 [ 228, 2 ] = C_228(1,37)
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On this page are computer-accessible forms for the graph C4[ 228, 2 ] =
C_228(1,37).
(I) Following is a form readable by MAGMA:
g:=Graph<228|{ {2, 3}, {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}, {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}, {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}, {1, 2}, {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}, {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}, {45, 46}, {85, 86}, {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}, {3, 4}, {227, 228}, {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}, {71, 72},
{55, 56}, {23, 24}, {39, 40}, {87, 88}, {103, 104}, {119, 120}, {135, 136},
{151, 152}, {15, 16}, {207, 208}, {175, 176}, {79, 80}, {47, 48}, {111, 112},
{143, 144}, {2, 39}, {82, 119}, {80, 117}, {74, 111}, {72, 109}, {66, 103}, {64,
101}, {8, 45}, {10, 47}, {16, 53}, {18, 55}, {24, 61}, {26, 63}, {88, 125}, {90,
127}, {128, 165}, {130, 167}, {136, 173}, {138, 175}, {144, 181}, {146, 183},
{152, 189}, {154, 191}, {1, 38}, {81, 118}, {73, 110}, {65, 102}, {9, 46}, {17,
54}, {25, 62}, {89, 126}, {129, 166}, {137, 174}, {145, 182}, {153, 190}, {3,
40}, {83, 120}, {71, 108}, {67, 104}, {7, 44}, {19, 56}, {23, 60}, {87, 124},
{131, 168}, {135, 172}, {147, 184}, {151, 188}, {4, 41}, {84, 121}, {70, 107},
{68, 105}, {6, 43}, {20, 57}, {22, 59}, {86, 123}, {132, 169}, {134, 171}, {148,
185}, {150, 187}, {5, 42}, {69, 106}, {21, 58}, {85, 122}, {133, 170}, {149,
186}, {11, 48}, {79, 116}, {75, 112}, {15, 52}, {139, 176}, {143, 180}, {12,
49}, {78, 115}, {76, 113}, {14, 51}, {140, 177}, {142, 179}, {13, 50}, {223,
224}, {159, 160}, {77, 114}, {31, 32}, {95, 96}, {141, 178}, {27, 64}, {191,
228}, {187, 224}, {159, 196}, {155, 192}, {63, 100}, {59, 96}, {31, 68}, {28,
65}, {190, 227}, {188, 225}, {158, 195}, {156, 193}, {62, 99}, {60, 97}, {30,
67}, {29, 66}, {189, 226}, {157, 194}, {61, 98}, {32, 69}, {186, 223}, {184,
221}, {178, 215}, {176, 213}, {170, 207}, {168, 205}, {162, 199}, {160, 197},
{58, 95}, {56, 93}, {50, 87}, {48, 85}, {34, 71}, {40, 77}, {42, 79}, {33, 70},
{185, 222}, {177, 214}, {169, 206}, {161, 198}, {57, 94}, {49, 86}, {41, 78},
{35, 72}, {183, 220}, {179, 216}, {167, 204}, {163, 200}, {55, 92}, {51, 88},
{39, 76}, {36, 73}, {182, 219}, {180, 217}, {166, 203}, {164, 201}, {54, 91},
{52, 89}, {38, 75}, {37, 74}, {181, 218}, {165, 202}, {53, 90}, {43, 80}, {175,
212}, {171, 208}, {47, 84}, {44, 81}, {174, 211}, {172, 209}, {46, 83}, {45,
82}, {191, 192}, {173, 210}, {63, 64}, {1, 192}, {3, 194}, {5, 196}, {7, 198},
{9, 200}, {11, 202}, {13, 204}, {15, 206}, {17, 208}, {19, 210}, {21, 212}, {23,
214}, {25, 216}, {27, 218}, {29, 220}, {31, 222}, {33, 224}, {35, 226}, {37,
228}, {2, 193}, {6, 197}, {10, 201}, {14, 205}, {18, 209}, {22, 213}, {26, 217},
{30, 221}, {34, 225}, {4, 195}, {12, 203}, {20, 211}, {28, 219}, {36, 227}, {8,
199}, {24, 215}, {91, 128}, {95, 132}, {123, 160}, {127, 164}, {92, 129}, {94,
131}, {124, 161}, {126, 163}, {16, 207}, {93, 130}, {125, 162}, {1, 228}, {96,
133}, {98, 135}, {104, 141}, {106, 143}, {112, 149}, {114, 151}, {120, 157},
{122, 159}, {97, 134}, {105, 142}, {113, 150}, {121, 158}, {99, 136}, {103,
140}, {115, 152}, {119, 156}, {100, 137}, {102, 139}, {116, 153}, {118, 155},
{101, 138}, {117, 154}, {107, 144}, {111, 148}, {108, 145}, {110, 147}, {32,
223}, {109, 146}, {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, 38)(3, 75)(4, 112)(5, 149)(6, 186)(7, 223)(8, 32)(9, 69)(10, 106)(11,
143)(12, 180)(13, 217)(14, 26)(15, 63)(16, 100)(17, 137)(18, 174)(19, 211)(21,
57)(22, 94)(23, 131)(24, 168)(25, 205)(27, 51)(28, 88)(29, 125)(30, 162)(31,
199)(33, 45)(34, 82)(35, 119)(36, 156)(37, 193)(40, 76)(41, 113)(42, 150)(43,
187)(44, 224)(46, 70)(47, 107)(48, 144)(49, 181)(50, 218)(52, 64)(53, 101)(54,
138)(55, 175)(56, 212)(59, 95)(60, 132)(61, 169)(62, 206)(65, 89)(66, 126)(67,
163)(68, 200)(71, 83)(72, 120)(73, 157)(74, 194)(78, 114)(79, 151)(80, 188)(81,
225)(84, 108)(85, 145)(86, 182)(87, 219)(90, 102)(91, 139)(92, 176)(93, 213)(97,
133)(98, 170)(99, 207)(103, 127)(104, 164)(105, 201)(109, 121)(110, 158)(111,
195)(116, 152)(117, 189)(118, 226)(122, 146)(123, 183)(124, 220)(128, 140)(129,
177)(130, 214)(135, 171)(136, 208)(141, 165)(142, 202)(147, 159)(148, 196)(154,
190)(155, 227)(160, 184)(161, 221)(166, 178)(167, 215)(173, 209)(179, 203)(185,
197)(192, 228)(198, 222)(204, 216) (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, 192)(3, 155)(4, 118)(5, 81)(6, 44)(8, 198)(9, 161)(10, 124)(11, 87)(12,
50)(14, 204)(15, 167)(16, 130)(17, 93)(18, 56)(20, 210)(21, 173)(22, 136)(23,
99)(24, 62)(26, 216)(27, 179)(28, 142)(29, 105)(30, 68)(32, 222)(33, 185)(34,
148)(35, 111)(36, 74)(38, 228)(39, 191)(40, 154)(41, 117)(42, 80)(45, 197)(46,
160)(47, 123)(48, 86)(51, 203)(52, 166)(53, 129)(54, 92)(57, 209)(58, 172)(59,
135)(60, 98)(63, 215)(64, 178)(65, 141)(66, 104)(69, 221)(70, 184)(71, 147)(72,
110)(75, 227)(76, 190)(77, 153)(78, 116)(82, 196)(83, 159)(84, 122)(88, 202)(89,
165)(90, 128)(94, 208)(95, 171)(96, 134)(100, 214)(101, 177)(102, 140)(106,
220)(107, 183)(108, 146)(112, 226)(113, 189)(114, 152)(119, 195)(120, 158)(125,
201)(126, 164)(131, 207)(132, 170)(137, 213)(138, 176)(143, 219)(144, 182)(149,
225)(150, 188)(156, 194)(162, 200)(168, 206)(174, 212)(180, 218)(186, 224)
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)
C4[ 228, 2 ]
228
-1 2 38 192 228
-2 1 3 39 193
-3 2 4 40 194
-4 3 5 41 195
-5 4 6 42 196
-6 5 7 43 197
-7 44 198 6 8
-8 45 199 7 9
-9 46 200 8 10
-10 11 47 201 9
-11 12 48 202 10
-12 11 13 49 203
-13 12 14 50 204
-14 13 15 51 205
-15 14 16 52 206
-16 15 17 53 207
-17 16 18 54 208
-18 55 209 17 19
-19 56 210 18 20
-20 57 211 19 21
-21 22 58 212 20
-22 23 59 213 21
-23 22 24 60 214
-24 23 25 61 215
-25 24 26 62 216
-26 25 27 63 217
-27 26 28 64 218
-28 27 29 65 219
-29 66 220 28 30
-30 67 221 29 31
-31 68 222 30 32
-32 33 69 223 31
-33 34 70 224 32
-34 33 35 71 225
-35 34 36 72 226
-36 35 37 73 227
-37 36 38 74 228
-38 1 37 39 75
-39 2 38 40 76
-40 77 3 39 41
-41 78 4 40 42
-42 79 5 41 43
-43 44 80 6 42
-44 45 81 7 43
-45 44 46 82 8
-46 45 47 83 9
-47 46 48 84 10
-48 11 47 49 85
-49 12 48 50 86
-50 13 49 51 87
-51 88 14 50 52
-52 89 15 51 53
-53 90 16 52 54
-54 55 91 17 53
-55 56 92 18 54
-56 55 57 93 19
-57 56 58 94 20
-58 57 59 95 21
-59 22 58 60 96
-60 23 59 61 97
-61 24 60 62 98
-62 99 25 61 63
-63 100 26 62 64
-64 101 27 63 65
-65 66 102 28 64
-66 67 103 29 65
-67 66 68 104 30
-68 67 69 105 31
-69 68 70 106 32
-70 33 69 71 107
-71 34 70 72 108
-72 35 71 73 109
-73 110 36 72 74
-74 111 37 73 75
-75 112 38 74 76
-76 77 113 39 75
-77 78 114 40 76
-78 77 79 115 41
-79 78 80 116 42
-80 79 81 117 43
-81 44 80 82 118
-82 45 81 83 119
-83 46 82 84 120
-84 121 47 83 85
-85 122 48 84 86
-86 123 49 85 87
-87 88 124 50 86
-88 89 125 51 87
-89 88 90 126 52
-90 89 91 127 53
-91 90 92 128 54
-92 55 91 93 129
-93 56 92 94 130
-94 57 93 95 131
-95 132 58 94 96
-96 133 59 95 97
-97 134 60 96 98
-98 99 135 61 97
-99 100 136 62 98
-100 99 101 137 63
-101 100 102 138 64
-102 101 103 139 65
-103 66 102 104 140
-104 67 103 105 141
-105 68 104 106 142
-106 143 69 105 107
-107 144 70 106 108
-108 145 71 107 109
-109 110 146 72 108
-110 111 147 73 109
-111 110 112 148 74
-112 111 113 149 75
-113 112 114 150 76
-114 77 113 115 151
-115 78 114 116 152
-116 79 115 117 153
-117 154 80 116 118
-118 155 81 117 119
-119 156 82 118 120
-120 121 157 83 119
-121 122 158 84 120
-122 121 123 159 85
-123 122 124 160 86
-124 123 125 161 87
-125 88 124 126 162
-126 89 125 127 163
-127 90 126 128 164
-128 165 91 127 129
-129 166 92 128 130
-130 167 93 129 131
-131 132 168 94 130
-132 133 169 95 131
-133 132 134 170 96
-134 133 135 171 97
-135 134 136 172 98
-136 99 135 137 173
-137 100 136 138 174
-138 101 137 139 175
-139 176 102 138 140
-140 177 103 139 141
-141 178 104 140 142
-142 143 179 105 141
-143 144 180 106 142
-144 143 145 181 107
-145 144 146 182 108
-146 145 147 183 109
-147 110 146 148 184
-148 111 147 149 185
-149 112 148 150 186
-150 187 113 149 151
-151 188 114 150 152
-152 189 115 151 153
-153 154 190 116 152
-154 155 191 117 153
-155 154 156 192 118
-156 155 157 193 119
-157 156 158 194 120
-158 121 157 159 195
-159 122 158 160 196
-160 123 159 161 197
-161 198 124 160 162
-162 199 125 161 163
-163 200 126 162 164
-164 165 201 127 163
-165 166 202 128 164
-166 165 167 203 129
-167 166 168 204 130
-168 167 169 205 131
-169 132 168 170 206
-170 133 169 171 207
-171 134 170 172 208
-172 209 135 171 173
-173 210 136 172 174
-174 211 137 173 175
-175 176 212 138 174
-176 177 213 139 175
-177 176 178 214 140
-178 177 179 215 141
-179 178 180 216 142
-180 143 179 181 217
-181 144 180 182 218
-182 145 181 183 219
-183 220 146 182 184
-184 221 147 183 185
-185 222 148 184 186
-186 187 223 149 185
-187 188 224 150 186
-188 187 189 225 151
-189 188 190 226 152
-190 189 191 227 153
-191 154 190 192 228
-192 1 155 191 193
-193 2 156 192 194
-194 3 157 193 195
-195 4 158 194 196
-196 5 159 195 197
-197 198 6 160 196
-198 199 7 161 197
-199 198 200 8 162
-200 199 201 9 163
-201 200 202 10 164
-202 11 165 201 203
-203 12 166 202 204
-204 13 167 203 205
-205 14 168 204 206
-206 15 169 205 207
-207 16 170 206 208
-208 209 17 171 207
-209 210 18 172 208
-210 209 211 19 173
-211 210 212 20 174
-212 211 213 21 175
-213 22 176 212 214
-214 23 177 213 215
-215 24 178 214 216
-216 25 179 215 217
-217 26 180 216 218
-218 27 181 217 219
-219 220 28 182 218
-220 221 29 183 219
-221 220 222 30 184
-222 221 223 31 185
-223 222 224 32 186
-224 33 187 223 225
-225 34 188 224 226
-226 35 189 225 227
-227 36 190 226 228
-228 1 37 191 227
0