C4graphGraph forms for C4 [ 252, 19 ] = R_126(65,64)

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On this page are computer-accessible forms for the graph C4[ 252, 19 ] = R_126(65,64).

(I) Following is a form readable by MAGMA:

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

(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: (57, 182)(58, 246)(120, 245)(121, 183)
b: (19, 144)(20, 208)(82, 207)(83, 145)
c: (41, 166)(42, 230)(104, 229)(105, 167)
d: (17, 142)(18, 206)(80, 205)(81, 143)
e: (28, 153)(29, 92)(30, 218)(91, 216)(93, 155)(154, 217)
f: (39, 164)(40, 228)(102, 227)(103, 165)
g: (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, 249, 250, 251, 252)
h: (34, 159)(35, 98)(36, 224)(97, 222)(99, 161)(160, 223)
m: (52, 177)(53, 116)(54, 242)(115, 240)(117, 179)(178, 241)
n1: (23, 148)(24, 212)(86, 211)(87, 149)
a1: (47, 172)(48, 236)(110, 235)(111, 173)
b1: (59, 184)(60, 248)(122, 247)(123, 185)
c1: (4, 129)(5, 68)(6, 194)(67, 192)(69, 131)(130, 193)
d1: (45, 170)(46, 234)(108, 233)(109, 171)
e1: (56, 181)(57, 120)(58, 246)(119, 244)(121, 183)(182, 245)
f1: (55, 180)(56, 244)(118, 243)(119, 181)
g1: (11, 136)(12, 200)(74, 199)(75, 137)
h1: (29, 154)(30, 218)(92, 217)(93, 155)
m1: (51, 176)(52, 240)(114, 239)(115, 177)
n2: (9, 134)(10, 198)(72, 197)(73, 135)
a2: (61, 186)(62, 250)(124, 249)(125, 187)
b2: (7, 132)(8, 196)(70, 195)(71, 133)
c2: (2, 188, 127, 126)(3, 62, 191, 187)(4, 61)(5, 60)(6, 59)(7, 58)(8, 57)(9, 56)(10, 55)(11, 54)(12, 53)(13, 52)(14, 51)(15, 50)(16, 49)(17, 48)(18, 47)(19, 46)(20, 45)(21, 44)(22, 43)(23, 42)(24, 41)(25, 40)(26, 39)(27, 38)(28, 37)(29, 36)(30, 35)(31, 34)(32, 33)(63, 65, 251, 190)(66, 125, 128, 250)(67, 124)(68, 123)(69, 122)(70, 121)(71, 120)(72, 119)(73, 118)(74, 117)(75, 116)(76, 115)(77, 114)(78, 113)(79, 112)(80, 111)(81, 110)(82, 109)(83, 108)(84, 107)(85, 106)(86, 105)(87, 104)(88, 103)(89, 102)(90, 101)(91, 100)(92, 99)(93, 98)(94, 97)(95, 96)(129, 249)(130, 248)(131, 247)(132, 246)(133, 245)(134, 244)(135, 243)(136, 242)(137, 241)(138, 240)(139, 239)(140, 238)(141, 237)(142, 236)(143, 235)(144, 234)(145, 233)(146, 232)(147, 231)(148, 230)(149, 229)(150, 228)(151, 227)(152, 226)(153, 225)(154, 224)(155, 223)(156, 222)(157, 221)(158, 220)(159, 219)(160, 218)(161, 217)(162, 216)(163, 215)(164, 214)(165, 213)(166, 212)(167, 211)(168, 210)(169, 209)(170, 208)(171, 207)(172, 206)(173, 205)(174, 204)(175, 203)(176, 202)(177, 201)(178, 200)(179, 199)(180, 198)(181, 197)(182, 196)(183, 195)(184, 194)(185, 193)(186, 192)(189, 252)
d2: (30, 155)(31, 94)(32, 220)(93, 218)(95, 157)(156, 219)
e2: (22, 147)(23, 86)(24, 212)(85, 210)(87, 149)(148, 211)
f2: (15, 140)(16, 204)(78, 203)(79, 141)
g2: (6, 131)(7, 70)(8, 196)(69, 194)(71, 133)(132, 195)
h2: (35, 160)(36, 224)(98, 223)(99, 161)
m2: (42, 167)(43, 106)(44, 232)(105, 230)(107, 169)(168, 231)
n3: (13, 138)(14, 202)(76, 201)(77, 139)
a3: (26, 151)(27, 90)(28, 216)(89, 214)(91, 153)(152, 215)
b3: (16, 141)(17, 80)(18, 206)(79, 204)(81, 143)(142, 205)
c3: (10, 135)(11, 74)(12, 200)(73, 198)(75, 137)(136, 199)
d3: (50, 175)(51, 114)(52, 240)(113, 238)(115, 177)(176, 239)
e3: (14, 139)(15, 78)(16, 204)(77, 202)(79, 141)(140, 203)
f3: (20, 145)(21, 84)(22, 210)(83, 208)(85, 147)(146, 209)
g3: (60, 185)(61, 124)(62, 250)(123, 248)(125, 187)(186, 249)
h3: (49, 174)(50, 238)(112, 237)(113, 175)
m3: (48, 173)(49, 112)(50, 238)(111, 236)(113, 175)(174, 237)
n4: (46, 171)(47, 110)(48, 236)(109, 234)(111, 173)(172, 235)
a4: (5, 130)(6, 194)(68, 193)(69, 131)
b4: (8, 133)(9, 72)(10, 198)(71, 196)(73, 135)(134, 197)
c4: (24, 149)(25, 88)(26, 214)(87, 212)(89, 151)(150, 213)
d4: (53, 178)(54, 242)(116, 241)(117, 179)
e4: (36, 161)(37, 100)(38, 226)(99, 224)(101, 163)(162, 225)
f4: (40, 165)(41, 104)(42, 230)(103, 228)(105, 167)(166, 229)
g4: (43, 168)(44, 232)(106, 231)(107, 169)
h4: (58, 183)(59, 122)(60, 248)(121, 246)(123, 185)(184, 247)
m4: (31, 156)(32, 220)(94, 219)(95, 157)
n5: (33, 158)(34, 222)(96, 221)(97, 159)
a5: (38, 163)(39, 102)(40, 228)(101, 226)(103, 165)(164, 227)
b5: (25, 150)(26, 214)(88, 213)(89, 151)
c5: (37, 162)(38, 226)(100, 225)(101, 163)
d5: (32, 157)(33, 96)(34, 222)(95, 220)(97, 159)(158, 221)
e5: (54, 179)(55, 118)(56, 244)(117, 242)(119, 181)(180, 243)
f5: (27, 152)(28, 216)(90, 215)(91, 153)
g5: (62, 187)(63, 251)(125, 250)(126, 188)
h5: (12, 137)(13, 76)(14, 202)(75, 200)(77, 139)(138, 201)
m5: (21, 146)(22, 210)(84, 209)(85, 147)
n6: (44, 169)(45, 108)(46, 234)(107, 232)(109, 171)(170, 233)
a6: (18, 143)(19, 82)(20, 208)(81, 206)(83, 145)(144, 207)

(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.

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

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