[Home] [Table] [Glossary] [Families]

On this page are computer-accessible forms for the graph C4[ 248, 4 ] = R_124(64,63).

(I) Following is a form readable by MAGMA:

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

(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: (59, 182)(60, 245)(121, 244)(122, 183)
b: (34, 157)(35, 97)(36, 221)(96, 219)(98, 159)(158, 220)
c: (20, 143)(21, 83)(22, 207)(82, 205)(84, 145)(144, 206)
d: (16, 139)(17, 79)(18, 203)(78, 201)(80, 141)(140, 202)
e: (46, 169)(47, 109)(48, 233)(108, 231)(110, 171)(170, 232)
f: (56, 179)(57, 119)(58, 243)(118, 241)(120, 181)(180, 242)
g: (35, 158)(36, 221)(97, 220)(98, 159)
h: (49, 172)(50, 235)(111, 234)(112, 173)
m: (19, 142)(20, 205)(81, 204)(82, 143)
n1: (38, 161)(39, 101)(40, 225)(100, 223)(102, 163)(162, 224)
a1: (29, 152)(30, 215)(91, 214)(92, 153)
b1: (23, 146)(24, 209)(85, 208)(86, 147)
c1: (50, 173)(51, 113)(52, 237)(112, 235)(114, 175)(174, 236)
d1: (24, 147)(25, 87)(26, 211)(86, 209)(88, 149)(148, 210)
e1: (14, 137)(15, 77)(16, 201)(76, 199)(78, 139)(138, 200)
f1: (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, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248)
g1: (37, 160)(38, 223)(99, 222)(100, 161)
h1: (60, 183)(61, 123)(62, 247)(122, 245)(124, 185)(184, 246)
m1: (17, 140)(18, 203)(79, 202)(80, 141)
n2: (9, 132)(10, 195)(71, 194)(72, 133)
a2: (15, 138)(16, 201)(77, 200)(78, 139)
b2: (26, 149)(27, 89)(28, 213)(88, 211)(90, 151)(150, 212)
c2: (4, 127)(5, 67)(6, 191)(66, 189)(68, 129)(128, 190)
d2: (51, 174)(52, 237)(113, 236)(114, 175)
e2: (42, 165)(43, 105)(44, 229)(104, 227)(106, 167)(166, 228)
f2: (28, 151)(29, 91)(30, 215)(90, 213)(92, 153)(152, 214)
g2: (52, 175)(53, 115)(54, 239)(114, 237)(116, 177)(176, 238)
h2: (25, 148)(26, 211)(87, 210)(88, 149)
m2: (21, 144)(22, 207)(83, 206)(84, 145)
n3: (27, 150)(28, 213)(89, 212)(90, 151)
a3: (11, 134)(12, 197)(73, 196)(74, 135)
b3: (5, 128)(6, 191)(67, 190)(68, 129)
c3: (47, 170)(48, 233)(109, 232)(110, 171)
d3: (30, 153)(31, 93)(32, 217)(92, 215)(94, 155)(154, 216)
e3: (41, 164)(42, 227)(103, 226)(104, 165)
f3: (48, 171)(49, 111)(50, 235)(110, 233)(112, 173)(172, 234)
g3: (36, 159)(37, 99)(38, 223)(98, 221)(100, 161)(160, 222)
h3: (57, 180)(58, 243)(119, 242)(120, 181)
m3: (7, 130)(8, 193)(69, 192)(70, 131)
n4: (39, 162)(40, 225)(101, 224)(102, 163)
a4: (61, 184)(62, 247)(123, 246)(124, 185)
b4: (22, 145)(23, 85)(24, 209)(84, 207)(86, 147)(146, 208)
c4: (18, 141)(19, 81)(20, 205)(80, 203)(82, 143)(142, 204)
d4: (53, 176)(54, 239)(115, 238)(116, 177)
e4: (40, 163)(41, 103)(42, 227)(102, 225)(104, 165)(164, 226)
f4: (10, 133)(11, 73)(12, 197)(72, 195)(74, 135)(134, 196)
g4: (13, 136)(14, 199)(75, 198)(76, 137)
h4: (55, 178)(56, 241)(117, 240)(118, 179)
m4: (54, 177)(55, 117)(56, 241)(116, 239)(118, 179)(178, 240)
n5: (31, 154)(32, 217)(93, 216)(94, 155)
a5: (45, 168)(46, 231)(107, 230)(108, 169)
b5: (43, 166)(44, 229)(105, 228)(106, 167)
c5: (12, 135)(13, 75)(14, 199)(74, 197)(76, 137)(136, 198)
d5: (32, 155)(33, 95)(34, 219)(94, 217)(96, 157)(156, 218)
e5: (33, 156)(34, 219)(95, 218)(96, 157)
f5: (8, 131)(9, 71)(10, 195)(70, 193)(72, 133)(132, 194)
g5: (6, 129)(7, 69)(8, 193)(68, 191)(70, 131)(130, 192)
h5: (2, 185)(3, 61)(4, 60)(5, 59)(6, 58)(7, 57)(8, 56)(9, 55)(10, 54)(11, 53)(12, 52)(13, 51)(14, 50)(15, 49)(16, 48)(17, 47)(18, 46)(19, 45)(20, 44)(21, 43)(22, 42)(23, 41)(24, 40)(25, 39)(26, 38)(27, 37)(28, 36)(29, 35)(30, 34)(31, 33)(62, 187)(64, 247)(65, 123)(66, 122)(67, 121)(68, 120)(69, 119)(70, 118)(71, 117)(72, 116)(73, 115)(74, 114)(75, 113)(76, 112)(77, 111)(78, 110)(79, 109)(80, 108)(81, 107)(82, 106)(83, 105)(84, 104)(85, 103)(86, 102)(87, 101)(88, 100)(89, 99)(90, 98)(91, 97)(92, 96)(93, 95)(124, 125)(126, 246)(127, 245)(128, 244)(129, 243)(130, 242)(131, 241)(132, 240)(133, 239)(134, 238)(135, 237)(136, 236)(137, 235)(138, 234)(139, 233)(140, 232)(141, 231)(142, 230)(143, 229)(144, 228)(145, 227)(146, 226)(147, 225)(148, 224)(149, 223)(150, 222)(151, 221)(152, 220)(153, 219)(154, 218)(155, 217)(156, 216)(157, 215)(158, 214)(159, 213)(160, 212)(161, 211)(162, 210)(163, 209)(164, 208)(165, 207)(166, 206)(167, 205)(168, 204)(169, 203)(170, 202)(171, 201)(172, 200)(173, 199)(174, 198)(175, 197)(176, 196)(177, 195)(178, 194)(179, 193)(180, 192)(181, 191)(182, 190)(183, 189)(184, 188)(186, 248)
m5: (44, 167)(45, 107)(46, 231)(106, 229)(108, 169)(168, 230)
n6: (58, 181)(59, 121)(60, 245)(120, 243)(122, 183)(182, 244)

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

**************