Graph forms
for C4 [ 252, 52 ] = MG(Rmap(252,201){18,18|7}_18)
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On this page are computer-accessible forms for the graph C4[ 252, 52 ] =
MG(Rmap(252,201){18,18|7}_18).
(I) Following is a form readable by MAGMA:
g:=Graph<252|{ {228, 229}, {1, 3}, {1, 2}, {216, 219}, {57, 61}, {129, 133}, {1,
4}, {249, 252}, {240, 245}, {2, 7}, {137, 140}, {170, 175}, {136, 142}, {250,
252}, {1, 6}, {251, 252}, {241, 246}, {2, 5}, {128, 135}, {2, 10}, {7, 15}, {6,
14}, {5, 13}, {4, 12}, {3, 11}, {179, 186}, {144, 154}, {246, 252}, {243, 249},
{198, 204}, {3, 8}, {193, 202}, {54, 61}, {129, 138}, {147, 152}, {34, 46}, {4,
9}, {247, 250}, {225, 236}, {214, 219}, {198, 203}, {71, 74}, {70, 75}, {36,
42}, {245, 251}, {32, 47}, {244, 251}, {148, 155}, {108, 124}, {162, 179}, {235,
250}, {233, 248}, {231, 246}, {229, 244}, {234, 248}, {3, 16}, {207, 220}, {44,
63}, {11, 24}, {7, 20}, {161, 178}, {4, 17}, {237, 248}, {12, 25}, {10, 31}, {8,
29}, {6, 19}, {5, 18}, {238, 249}, {236, 251}, {224, 247}, {36, 51}, {9, 30},
{132, 147}, {129, 153}, {226, 250}, {71, 94}, {105, 112}, {142, 151}, {170,
179}, {137, 147}, {227, 249}, {7, 28}, {97, 122}, {41, 53}, {6, 27}, {64, 93},
{10, 23}, {8, 21}, {230, 248}, {5, 26}, {202, 213}, {9, 22}, {167, 184}, {26,
58}, {201, 233}, {150, 182}, {133, 164}, {210, 243}, {208, 241}, {206, 239},
{154, 187}, {8, 42}, {29, 63}, {28, 62}, {25, 59}, {24, 58}, {21, 55}, {20, 54},
{17, 51}, {16, 50}, {13, 47}, {12, 46}, {9, 43}, {77, 110}, {209, 242}, {192,
227}, {28, 56}, {192, 228}, {31, 59}, {152, 188}, {199, 226}, {215, 242}, {200,
237}, {10, 44}, {27, 61}, {26, 60}, {19, 53}, {18, 52}, {11, 45}, {82, 117},
{201, 238}, {140, 171}, {148, 188}, {29, 52}, {221, 244}, {146, 187}, {11, 32},
{217, 242}, {15, 36}, {85, 121}, {205, 225}, {195, 239}, {194, 238}, {193, 237},
{12, 33}, {219, 246}, {14, 35}, {22, 56}, {223, 241}, {220, 242}, {197, 235},
{23, 57}, {155, 181}, {13, 34}, {218, 245}, {197, 234}, {130, 173}, {75, 123},
{72, 121}, {133, 183}, {212, 231}, {79, 123}, {210, 230}, {196, 240}, {142,
186}, {16, 37}, {222, 235}, {218, 239}, {216, 237}, {211, 230}, {70, 115}, {18,
39}, {193, 247}, {209, 231}, {17, 38}, {221, 234}, {217, 238}, {72, 127}, {76,
116}, {208, 232}, {68, 125}, {206, 247}, {91, 98}, {65, 123}, {19, 40}, {69,
126}, {87, 107}, {20, 41}, {213, 232}, {212, 233}, {200, 245}, {66, 127}, {14,
48}, {220, 226}, {84, 106}, {69, 123}, {15, 49}, {67, 124}, {211, 236}, {204,
243}, {203, 244}, {35, 99}, {57, 121}, {56, 120}, {55, 119}, {54, 118}, {148,
212}, {151, 215}, {152, 216}, {52, 117}, {177, 240}, {149, 214}, {62, 122},
{128, 196}, {49, 116}, {182, 243}, {27, 93}, {60, 122}, {158, 216}, {159, 217},
{40, 111}, {138, 205}, {168, 224}, {175, 231}, {37, 108}, {46, 103}, {39, 110},
{14, 68}, {60, 118}, {15, 69}, {128, 202}, {170, 224}, {27, 80}, {62, 117}, {38,
109}, {173, 230}, {137, 197}, {143, 194}, {13, 67}, {139, 197}, {161, 239}, {30,
81}, {36, 107}, {59, 107}, {143, 223}, {53, 100}, {184, 233}, {58, 107}, {157,
204}, {50, 96}, {183, 229}, {51, 97}, {131, 209}, {162, 240}, {191, 236}, {54,
98}, {134, 210}, {135, 211}, {159, 203}, {22, 67}, {190, 235}, {26, 79}, {24,
77}, {146, 199}, {180, 225}, {16, 70}, {52, 98}, {17, 71}, {144, 198}, {153,
207}, {25, 78}, {191, 232}, {189, 234}, {145, 198}, {156, 203}, {150, 206},
{188, 228}, {187, 227}, {41, 112}, {43, 114}, {18, 72}, {190, 228}, {184, 226},
{19, 73}, {23, 76}, {42, 113}, {136, 212}, {145, 205}, {173, 241}, {22, 75},
{20, 74}, {189, 227}, {182, 232}, {31, 65}, {30, 64}, {139, 213}, {21, 74}, {44,
115}, {151, 200}, {63, 95}, {39, 70}, {48, 81}, {32, 66}, {131, 225}, {180,
214}, {181, 215}, {33, 66}, {171, 200}, {132, 224}, {50, 87}, {172, 201}, {183,
209}, {181, 221}, {58, 80}, {185, 211}, {160, 204}, {186, 214}, {174, 195}, {48,
94}, {185, 215}, {49, 95}, {177, 222}, {38, 86}, {191, 207}, {149, 229}, {169,
217}, {32, 82}, {47, 93}, {46, 92}, {43, 89}, {42, 88}, {33, 83}, {167, 213},
{178, 192}, {23, 100}, {37, 86}, {169, 218}, {38, 82}, {29, 104}, {31, 106},
{21, 99}, {45, 91}, {44, 90}, {37, 83}, {35, 85}, {34, 84}, {30, 105}, {176,
199}, {45, 85}, {168, 208}, {35, 90}, {160, 218}, {161, 219}, {164, 222}, {165,
223}, {28, 103}, {33, 90}, {43, 87}, {174, 210}, {24, 101}, {53, 75}, {55, 73},
{162, 220}, {163, 221}, {25, 102}, {59, 68}, {40, 87}, {63, 172}, {55, 163},
{84, 194}, {95, 199}, {110, 206}, {45, 140}, {40, 138}, {51, 145}, {50, 144},
{47, 141}, {41, 139}, {96, 196}, {105, 205}, {120, 223}, {119, 222}, {34, 136},
{62, 148}, {39, 137}, {61, 147}, {60, 146}, {126, 208}, {57, 136}, {127, 201},
{120, 192}, {121, 193}, {122, 194}, {115, 202}, {125, 196}, {127, 195}, {48,
142}, {56, 134}, {49, 143}, {113, 207}, {124, 195}, {106, 170}, {114, 178},
{126, 190}, {78, 143}, {109, 172}, {124, 189}, {92, 158}, {101, 166}, {99, 167},
{73, 140}, {93, 155}, {96, 166}, {88, 159}, {108, 171}, {117, 189}, {118, 190},
{119, 191}, {73, 128}, {125, 180}, {88, 146}, {105, 163}, {74, 129}, {103, 172},
{79, 132}, {100, 168}, {101, 169}, {112, 188}, {78, 131}, {82, 159}, {76, 130},
{81, 158}, {102, 169}, {86, 134}, {77, 156}, {78, 157}, {83, 135}, {109, 185},
{64, 149}, {101, 176}, {80, 133}, {66, 151}, {110, 187}, {125, 168}, {81, 135},
{97, 183}, {65, 150}, {113, 166}, {118, 175}, {98, 184}, {99, 185}, {106, 176},
{67, 152}, {116, 175}, {71, 155}, {102, 186}, {94, 130}, {68, 153}, {94, 131},
{112, 173}, {115, 174}, {111, 177}, {69, 154}, {80, 179}, {104, 139}, {65, 165},
{103, 130}, {119, 144}, {95, 182}, {120, 145}, {64, 171}, {102, 141}, {76, 167},
{111, 132}, {97, 141}, {113, 157}, {89, 180}, {116, 153}, {91, 181}, {104, 134},
{114, 156}, {108, 156}, {109, 157}, {92, 174}, {104, 154}, {83, 160}, {126,
138}, {84, 161}, {86, 163}, {96, 150}, {85, 162}, {72, 176}, {89, 160}, {92,
165}, {100, 158}, {111, 149}, {77, 177}, {90, 166}, {89, 165}, {88, 164}, {79,
178}, {91, 164}, {114, 141} }>;
(II) A more general form is to represent the graph as the orbit of {228, 229}
under the group generated by the following permutations:
a: (2, 6)(3, 4)(5, 14)(7, 19)(8, 9)(10, 27)(11, 12)(13, 35)(15, 40)(16, 17)(18,
48)(20, 53)(21, 22)(23, 61)(24, 25)(26, 68)(28, 73)(29, 30)(31, 80)(32, 33)(34,
85)(36, 87)(37, 38)(39, 94)(42, 43)(44, 93)(45, 46)(47, 90)(49, 111)(50, 51)(52,
81)(54, 100)(55, 56)(58, 59)(60, 125)(62, 128)(63, 64)(65, 133)(67, 99)(69,
138)(70, 71)(72, 142)(74, 75)(76, 147)(77, 78)(79, 153)(82, 83)(84, 162)(88,
89)(91, 92)(95, 149)(96, 97)(98, 158)(101, 102)(103, 140)(104, 105)(106,
179)(108, 109)(110, 131)(112, 139)(113, 114)(115, 155)(116, 132)(117, 135)(118,
168)(119, 120)(121, 136)(122, 196)(123, 129)(124, 185)(127, 151)(130, 137)(134,
163)(141, 166)(143, 177)(144, 145)(146, 180)(148, 202)(150, 183)(152, 167)(154,
205)(156, 157)(159, 160)(161, 220)(164, 165)(171, 172)(173, 197)(174, 181)(175,
224)(176, 186)(178, 207)(182, 229)(184, 216)(187, 225)(188, 213)(189, 211)(190,
208)(191, 192)(193, 212)(194, 240)(195, 215)(199, 214)(200, 201)(203, 204)(206,
209)(210, 221)(217, 218)(219, 226)(222, 223)(227, 236)(228, 232)(230, 234)(231,
247)(233, 237)(235, 241)(238, 245)(239, 242)(243, 244)(246, 250)(249, 251) (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, 4)(3, 6)(5, 9)(7, 12)(8, 14)(10, 17)(11, 19)(13, 22)(15, 25)(16, 27)(18,
30)(20, 33)(21, 35)(23, 38)(24, 40)(26, 43)(28, 46)(29, 48)(31, 51)(32, 53)(34,
56)(36, 59)(37, 61)(39, 64)(41, 66)(42, 68)(44, 71)(45, 73)(47, 75)(49, 78)(50,
80)(52, 81)(54, 83)(55, 85)(57, 86)(58, 87)(60, 89)(62, 92)(63, 94)(65, 97)(69,
102)(70, 93)(72, 105)(74, 90)(76, 109)(77, 111)(79, 114)(82, 100)(84, 120)(88,
125)(91, 128)(95, 131)(96, 133)(98, 135)(101, 138)(104, 142)(106, 145)(108,
147)(110, 149)(112, 127)(113, 153)(115, 155)(116, 157)(117, 158)(118, 160)(119,
162)(121, 163)(122, 165)(123, 141)(124, 152)(126, 169)(129, 166)(130, 172)(132,
156)(134, 136)(137, 171)(139, 151)(144, 179)(146, 180)(148, 174)(150, 183)(154,
186)(159, 168)(161, 192)(164, 196)(167, 185)(170, 198)(173, 201)(175, 204)(176,
205)(181, 202)(182, 209)(184, 211)(187, 214)(188, 195)(189, 216)(190, 218)(191,
220)(193, 221)(194, 223)(197, 200)(199, 225)(203, 224)(206, 229)(208, 217)(210,
212)(213, 215)(219, 227)(222, 240)(226, 236)(228, 239)(230, 233)(231, 243)(232,
242)(234, 237)(235, 245)(238, 241)(244, 247)(246, 249)(250, 251)
c: (2, 4, 6)(5, 17, 19)(7, 9, 27)(8, 16, 11)(10, 12, 14)(13, 71, 53)(15, 43,
80)(18, 38, 73)(20, 22, 93)(21, 70, 32)(23, 46, 48)(24, 42, 50)(25, 68, 31)(26,
51, 40)(28, 30, 61)(29, 37, 45)(33, 35, 44)(34, 94, 100)(36, 87, 58)(39, 82,
55)(41, 67, 155)(47, 74, 75)(49, 89, 179)(52, 86, 140)(54, 56, 64)(57, 103,
81)(60, 145, 111)(62, 105, 147)(63, 83, 85)(65, 102, 153)(66, 99, 115)(69, 114,
133)(72, 109, 128)(76, 92, 142)(77, 88, 144)(78, 125, 106)(79, 97, 138)(84, 131,
168)(91, 104, 108)(95, 160, 162)(96, 101, 113)(98, 134, 171)(110, 159, 119)(112,
152, 148)(116, 165, 186)(117, 163, 137)(118, 120, 149)(121, 172, 135)(122, 205,
132)(123, 141, 129)(124, 181, 139)(126, 178, 183)(127, 185, 202)(130, 158,
136)(143, 180, 170)(146, 198, 177)(150, 169, 207)(151, 167, 174)(154, 156,
164)(157, 196, 176)(161, 209, 208)(173, 216, 212)(175, 223, 214)(182, 218,
220)(184, 210, 200)(187, 203, 222)(189, 221, 197)(190, 192, 229)(191, 206,
217)(193, 201, 211)(194, 225, 224)(195, 215, 213)(199, 204, 240)(219, 231,
241)(226, 243, 245)(227, 244, 235)(230, 237, 233)(232, 239, 242)(236, 247,
238)(249, 251, 250)
d: (1, 2)(3, 5)(4, 7)(6, 10)(8, 13)(9, 15)(11, 18)(12, 20)(14, 23)(16, 26)(17,
28)(19, 31)(21, 34)(22, 36)(24, 39)(25, 41)(27, 44)(29, 47)(30, 49)(32, 52)(33,
54)(35, 57)(37, 60)(38, 62)(40, 65)(42, 67)(43, 69)(45, 72)(46, 74)(48, 76)(50,
79)(51, 56)(53, 59)(55, 84)(58, 70)(61, 90)(63, 93)(64, 95)(66, 98)(68, 100)(71,
103)(73, 106)(75, 107)(77, 110)(78, 112)(80, 115)(81, 116)(82, 117)(83, 118)(85,
121)(86, 122)(87, 123)(88, 124)(89, 126)(91, 127)(92, 129)(94, 130)(96, 132)(97,
134)(99, 136)(101, 137)(102, 139)(104, 141)(105, 143)(108, 146)(109, 148)(111,
150)(113, 152)(114, 154)(119, 161)(120, 145)(125, 168)(128, 170)(131, 173)(133,
174)(135, 175)(138, 165)(140, 176)(142, 167)(144, 178)(147, 166)(149, 182)(151,
184)(153, 158)(155, 172)(156, 187)(157, 188)(159, 189)(160, 190)(162, 193)(163,
194)(164, 195)(169, 197)(171, 199)(177, 206)(179, 202)(180, 208)(181, 201)(183,
210)(185, 212)(186, 213)(191, 219)(192, 198)(196, 224)(200, 226)(203, 227)(204,
228)(205, 223)(207, 216)(209, 230)(211, 231)(214, 232)(215, 233)(217, 234)(218,
235)(220, 237)(221, 238)(222, 239)(225, 241)(229, 243)(236, 246)(240, 247)(242,
248)(244, 249)(245, 250)(251, 252)
C4[ 252, 52 ]
252
-1 2 3 4 6
-2 1 5 7 10
-3 11 1 16 8
-4 1 12 17 9
-5 2 13 26 18
-6 1 14 27 19
-7 2 15 28 20
-8 3 29 42 21
-9 22 4 30 43
-10 44 23 2 31
-11 45 24 3 32
-12 33 46 25 4
-13 34 67 47 5
-14 35 68 48 6
-15 36 69 49 7
-16 3 37 70 50
-17 4 38 71 51
-18 5 39 72 52
-19 6 40 73 53
-20 7 41 74 54
-21 55 99 8 74
-22 56 67 9 75
-23 100 57 10 76
-24 11 77 101 58
-25 12 78 102 59
-26 79 58 5 60
-27 80 93 6 61
-28 56 103 7 62
-29 104 8 52 63
-30 81 105 9 64
-31 59 106 10 65
-32 11 66 47 82
-33 66 12 90 83
-34 13 46 136 84
-35 99 90 14 85
-36 15 51 107 42
-37 16 83 86 108
-38 82 17 86 109
-39 110 70 137 18
-40 111 138 19 87
-41 112 139 20 53
-42 88 36 113 8
-43 89 114 9 87
-44 90 115 63 10
-45 11 91 85 140
-46 12 34 92 103
-47 13 93 141 32
-48 14 81 94 142
-49 143 15 116 95
-50 144 16 96 87
-51 145 36 17 97
-52 18 29 117 98
-53 100 19 41 75
-54 61 118 20 98
-55 73 119 163 21
-56 22 134 28 120
-57 121 23 136 61
-58 24 80 26 107
-59 68 25 107 31
-60 122 146 26 118
-61 57 147 27 54
-62 122 148 28 117
-63 44 29 95 172
-64 93 149 171 30
-65 165 123 150 31
-66 33 127 151 32
-67 22 13 124 152
-68 14 59 125 153
-69 154 123 15 126
-70 16 115 39 75
-71 155 17 94 74
-72 121 176 127 18
-73 55 128 19 140
-74 71 129 20 21
-75 22 123 70 53
-76 23 167 116 130
-77 110 177 24 156
-78 143 25 157 131
-79 132 123 178 26
-80 133 58 179 27
-81 135 48 158 30
-82 38 159 117 32
-83 33 135 37 160
-84 34 106 161 194
-85 121 45 35 162
-86 134 37 38 163
-87 50 40 107 43
-88 146 159 42 164
-89 165 180 160 43
-90 33 44 166 35
-91 45 181 98 164
-92 165 46 158 174
-93 155 47 27 64
-94 48 71 130 131
-95 199 49 182 63
-96 166 50 150 196
-97 122 51 183 141
-98 91 52 184 54
-99 35 167 185 21
-100 23 168 158 53
-101 176 166 24 169
-102 25 169 141 186
-103 46 28 172 130
-104 154 134 29 139
-105 112 205 30 163
-106 176 170 84 31
-107 36 58 59 87
-108 156 124 37 171
-109 157 38 172 185
-110 77 187 39 206
-111 132 177 149 40
-112 188 105 41 173
-113 166 157 42 207
-114 156 178 141 43
-115 44 70 202 174
-116 49 76 153 175
-117 189 82 62 52
-118 190 60 54 175
-119 55 144 222 191
-120 56 145 223 192
-121 57 72 193 85
-122 60 62 194 97
-123 79 69 75 65
-124 67 189 195 108
-125 68 168 180 196
-126 69 190 138 208
-127 66 201 72 195
-128 135 202 73 196
-129 133 138 74 153
-130 103 94 173 76
-131 209 78 225 94
-132 111 79 147 224
-133 80 183 129 164
-134 56 210 104 86
-135 211 81 83 128
-136 34 57 212 142
-137 147 39 140 197
-138 126 40 205 129
-139 213 104 41 197
-140 45 137 171 73
-141 47 102 114 97
-142 48 136 151 186
-143 78 223 49 194
-144 154 198 50 119
-145 198 51 205 120
-146 88 187 199 60
-147 132 137 61 152
-148 155 188 212 62
-149 111 214 64 229
-150 182 96 206 65
-151 66 200 215 142
-152 67 188 147 216
-153 68 116 129 207
-154 187 144 69 104
-155 71 93 181 148
-156 77 114 203 108
-157 78 113 204 109
-158 100 81 92 216
-159 88 82 203 217
-160 89 83 204 218
-161 178 84 239 219
-162 220 179 85 240
-163 55 221 105 86
-164 88 133 222 91
-165 89 223 92 65
-166 90 101 113 96
-167 99 213 184 76
-168 100 125 224 208
-169 101 102 217 218
-170 179 224 106 175
-171 200 140 64 108
-172 201 103 63 109
-173 112 130 230 241
-174 210 92 115 195
-175 231 170 116 118
-176 199 101 72 106
-177 77 111 222 240
-178 79 114 192 161
-179 80 170 162 186
-180 89 125 214 225
-181 155 221 91 215
-182 232 243 95 150
-183 209 133 97 229
-184 167 233 226 98
-185 99 211 215 109
-186 102 179 214 142
-187 110 154 146 227
-188 112 148 228 152
-189 124 234 117 227
-190 235 126 118 228
-191 232 236 119 207
-192 178 227 228 120
-193 121 202 247 237
-194 143 122 84 238
-195 124 127 239 174
-196 125 128 96 240
-197 234 235 137 139
-198 144 145 203 204
-199 176 146 226 95
-200 245 171 237 151
-201 233 127 172 238
-202 213 115 193 128
-203 198 156 244 159
-204 198 243 157 160
-205 145 225 105 138
-206 110 247 150 239
-207 220 113 191 153
-208 232 168 126 241
-209 231 242 183 131
-210 243 134 174 230
-211 135 236 185 230
-212 231 233 136 148
-213 232 167 202 139
-214 180 149 186 219
-215 242 181 151 185
-216 158 237 152 219
-217 242 169 159 238
-218 245 169 160 239
-219 246 214 161 216
-220 242 226 162 207
-221 244 234 181 163
-222 177 235 119 164
-223 143 165 120 241
-224 132 168 170 247
-225 180 236 205 131
-226 220 199 184 250
-227 187 189 192 249
-228 188 190 192 229
-229 244 149 183 228
-230 210 211 248 173
-231 209 212 246 175
-232 191 213 182 208
-233 201 212 248 184
-234 221 189 248 197
-235 222 190 250 197
-236 211 191 225 251
-237 200 193 248 216
-238 201 194 249 217
-239 161 195 206 218
-240 177 245 162 196
-241 223 246 173 208
-242 209 220 215 217
-243 210 182 204 249
-244 221 203 229 251
-245 200 218 240 251
-246 231 219 241 252
-247 224 193 206 250
-248 233 234 237 230
-249 243 227 238 252
-250 235 247 226 252
-251 244 245 236 252
-252 246 249 250 251
0