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