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On this page are computer-accessible forms for the graph C4[ 254, 1 ] = W(127,2).

(I) Following is a form readable by MAGMA:

g:=Graph<254|{ {2, 3}, {252, 253}, {250, 251}, {248, 249}, {246, 247}, {244, 245}, {242, 243}, {240, 241}, {238, 239}, {236, 237}, {234, 235}, {232, 233}, {230, 231}, {228, 229}, {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}, {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}, {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}, {1, 2}, {253, 254}, {249, 250}, {245, 246}, {241, 242}, {237, 238}, {233, 234}, {229, 230}, {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}, {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}, {157, 158}, {161, 162}, {165, 166}, {3, 4}, {251, 252}, {243, 244}, {235, 236}, {227, 228}, {219, 220}, {211, 212}, {203, 204}, {195, 196}, {187, 188}, {179, 180}, {171, 172}, {75, 76}, {67, 68}, {59, 60}, {51, 52}, {11, 12}, {19, 20}, {27, 28}, {35, 36}, {43, 44}, {83, 84}, {91, 92}, {99, 100}, {107, 108}, {115, 116}, {123, 124}, {131, 132}, {139, 140}, {147, 148}, {155, 156}, {163, 164}, {7, 8}, {247, 248}, {231, 232}, {215, 216}, {199, 200}, {183, 184}, {71, 72}, {55, 56}, {23, 24}, {39, 40}, {87, 88}, {103, 104}, {119, 120}, {135, 136}, {151, 152}, {167, 168}, {15, 16}, {239, 240}, {207, 208}, {175, 176}, {79, 80}, {47, 48}, {111, 112}, {143, 144}, {31, 32}, {223, 224}, {95, 96}, {159, 160}, {1, 127}, {128, 254}, {63, 64}, {191, 192}, {1, 129}, {81, 209}, {80, 208}, {79, 207}, {78, 206}, {77, 205}, {76, 204}, {75, 203}, {74, 202}, {73, 201}, {72, 200}, {71, 199}, {70, 198}, {69, 197}, {68, 196}, {67, 195}, {66, 194}, {65, 193}, {64, 192}, {63, 191}, {62, 190}, {61, 189}, {60, 188}, {59, 187}, {58, 186}, {57, 185}, {56, 184}, {55, 183}, {54, 182}, {53, 181}, {52, 180}, {51, 179}, {50, 178}, {49, 177}, {48, 176}, {2, 130}, {3, 131}, {4, 132}, {5, 133}, {6, 134}, {7, 135}, {8, 136}, {9, 137}, {10, 138}, {11, 139}, {12, 140}, {13, 141}, {14, 142}, {15, 143}, {16, 144}, {17, 145}, {18, 146}, {19, 147}, {20, 148}, {21, 149}, {22, 150}, {23, 151}, {24, 152}, {25, 153}, {26, 154}, {27, 155}, {28, 156}, {29, 157}, {30, 158}, {31, 159}, {32, 160}, {33, 161}, {34, 162}, {35, 163}, {36, 164}, {37, 165}, {38, 166}, {39, 167}, {40, 168}, {41, 169}, {42, 170}, {43, 171}, {44, 172}, {45, 173}, {46, 174}, {47, 175}, {82, 210}, {83, 211}, {84, 212}, {85, 213}, {86, 214}, {87, 215}, {88, 216}, {89, 217}, {90, 218}, {91, 219}, {92, 220}, {93, 221}, {94, 222}, {95, 223}, {96, 224}, {97, 225}, {98, 226}, {99, 227}, {100, 228}, {101, 229}, {102, 230}, {103, 231}, {104, 232}, {105, 233}, {106, 234}, {107, 235}, {108, 236}, {109, 237}, {110, 238}, {111, 239}, {112, 240}, {113, 241}, {114, 242}, {115, 243}, {116, 244}, {117, 245}, {118, 246}, {119, 247}, {120, 248}, {121, 249}, {122, 250}, {123, 251}, {124, 252}, {125, 253}, {126, 254}, {2, 128}, {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}, {51, 177}, {50, 176}, {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}, {83, 209}, {86, 212}, {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}, {127, 253}, {4, 130}, {77, 203}, {76, 202}, {69, 195}, {68, 194}, {61, 187}, {60, 186}, {53, 179}, {52, 178}, {5, 131}, {12, 138}, {13, 139}, {20, 146}, {21, 147}, {28, 154}, {29, 155}, {36, 162}, {37, 163}, {44, 170}, {45, 171}, {84, 210}, {85, 211}, {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}, {49, 175}, {17, 143}, {48, 174}, {112, 238}, {113, 239}, {32, 158}, {33, 159}, {96, 222}, {97, 223}, {64, 190}, {65, 191}, {1, 254}, {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: (71, 198)
b: (77, 204)
c: (86, 213)
d: (24, 151)
e: (119, 246)
f: (103, 230)
g: (100, 227)
h: (34, 161)
m: (124, 251)
n1: (58, 185)
a1: (49, 176)
b1: (87, 214)
c1: (73, 200)
d1: (6, 133)
e1: (72, 199)
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, 249, 250, 251, 252, 253, 254)
g1: (126, 253)
h1: (64, 191)
m1: (115, 242)
n2: (2, 127)(3, 126)(4, 125)(5, 124)(6, 123)(7, 122)(8, 121)(9, 120)(10, 119)(11, 118)(12, 117)(13, 116)(14, 115)(15, 114)(16, 113)(17, 112)(18, 111)(19, 110)(20, 109)(21, 108)(22, 107)(23, 106)(24, 105)(25, 104)(26, 103)(27, 102)(28, 101)(29, 100)(30, 99)(31, 98)(32, 97)(33, 96)(34, 95)(35, 94)(36, 93)(37, 92)(38, 91)(39, 90)(40, 89)(41, 88)(42, 87)(43, 86)(44, 85)(45, 84)(46, 83)(47, 82)(48, 81)(49, 80)(50, 79)(51, 78)(52, 77)(53, 76)(54, 75)(55, 74)(56, 73)(57, 72)(58, 71)(59, 70)(60, 69)(61, 68)(62, 67)(63, 66)(64, 65)(129, 254)(130, 253)(131, 252)(132, 251)(133, 250)(134, 249)(135, 248)(136, 247)(137, 246)(138, 245)(139, 244)(140, 243)(141, 242)(142, 241)(143, 240)(144, 239)(145, 238)(146, 237)(147, 236)(148, 235)(149, 234)(150, 233)(151, 232)(152, 231)(153, 230)(154, 229)(155, 228)(156, 227)(157, 226)(158, 225)(159, 224)(160, 223)(161, 222)(162, 221)(163, 220)(164, 219)(165, 218)(166, 217)(167, 216)(168, 215)(169, 214)(170, 213)(171, 212)(172, 211)(173, 210)(174, 209)(175, 208)(176, 207)(177, 206)(178, 205)(179, 204)(180, 203)(181, 202)(182, 201)(183, 200)(184, 199)(185, 198)(186, 197)(187, 196)(188, 195)(189, 194)(190, 193)(191, 192)
a2: (97, 224)
b2: (68, 195)
c2: (2, 129)
d2: (19, 146)
e2: (78, 205)
f2: (16, 143)
g2: (3, 130)
h2: (47, 174)
m2: (57, 184)
n3: (37, 164)
a3: (65, 192)
b3: (21, 148)
c3: (125, 252)
d3: (85, 212)
e3: (33, 160)
f3: (29, 156)
g3: (111, 238)
h3: (101, 228)
m3: (113, 240)
n4: (106, 233)
a4: (44, 171)
b4: (110, 237)
c4: (48, 175)
d4: (105, 232)
e4: (67, 194)
f4: (61, 188)
g4: (25, 152)
h4: (39, 166)
m4: (62, 189)
n5: (18, 145)
a5: (84, 211)
b5: (7, 134)
c5: (107, 234)
d5: (95, 222)
e5: (4, 131)
f5: (66, 193)
g5: (8, 135)
h5: (70, 197)
m5: (81, 208)
n6: (23, 150)
a6: (11, 138)
b6: (15, 142)
c6: (74, 201)
d6: (12, 139)
e6: (55, 182)
f6: (98, 225)
g6: (36, 163)
h6: (123, 250)
m6: (10, 137)
n7: (76, 203)
a7: (9, 136)
b7: (32, 159)
c7: (94, 221)
d7: (35, 162)
e7: (102, 229)
f7: (40, 167)
g7: (116, 243)
h7: (50, 177)
m7: (69, 196)
n8: (112, 239)
a8: (46, 173)
b8: (122, 249)
c8: (60, 187)
d8: (91, 218)
e8: (41, 168)
f8: (83, 210)
g8: (17, 144)
h8: (13, 140)
m8: (117, 244)
n9: (51, 178)
a9: (31, 158)
b9: (27, 154)
c9: (114, 241)
d9: (52, 179)
e9: (22, 149)
f9: (88, 215)
g9: (26, 153)
h9: (92, 219)
m9: (93, 220)
n10: (108, 235)
a10: (42, 169)
b10: (127, 254)
c10: (53, 180)
d10: (75, 202)
e10: (59, 186)
f10: (56, 183)
g10: (118, 245)
h10: (99, 226)
m10: (96, 223)
n11: (30, 157)
a11: (14, 141)
b11: (80, 207)
c11: (5, 132)
d11: (120, 247)
e11: (54, 181)
f11: (89, 216)
g11: (79, 206)
h11: (43, 170)
m11: (28, 155)
n12: (90, 217)
a12: (104, 231)
b12: (38, 165)
c12: (109, 236)
d12: (45, 172)
e12: (20, 147)
f12: (82, 209)
g12: (121, 248)

(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[ 254, 1 ]
254
-1 254 2 127 129
-2 1 3 128 130
-3 2 4 129 131
-4 132 3 5 130
-5 133 4 6 131
-6 132 134 5 7
-7 133 135 6 8
-8 134 136 7 9
-9 135 137 8 10
-10 11 136 138 9
-11 12 137 139 10
-12 11 13 138 140
-13 12 14 139 141
-14 13 15 140 142
-15 143 14 16 141
-16 144 15 17 142
-17 143 145 16 18
-18 144 146 17 19
-19 145 147 18 20
-20 146 148 19 21
-21 22 147 149 20
-22 23 148 150 21
-23 22 24 149 151
-24 23 25 150 152
-25 24 26 151 153
-26 154 25 27 152
-27 155 26 28 153
-28 154 156 27 29
-29 155 157 28 30
-30 156 158 29 31
-31 157 159 30 32
-32 33 158 160 31
-33 34 159 161 32
-34 33 35 160 162
-35 34 36 161 163
-36 35 37 162 164
-37 165 36 38 163
-38 166 37 39 164
-39 165 167 38 40
-40 166 168 39 41
-41 167 169 40 42
-42 168 170 41 43
-43 44 169 171 42
-44 45 170 172 43
-45 44 46 171 173
-46 45 47 172 174
-47 46 48 173 175
-48 176 47 49 174
-49 177 48 50 175
-50 176 178 49 51
-51 177 179 50 52
-52 178 180 51 53
-53 179 181 52 54
-54 55 180 182 53
-55 56 181 183 54
-56 55 57 182 184
-57 56 58 183 185
-58 57 59 184 186
-59 187 58 60 185
-60 188 59 61 186
-61 187 189 60 62
-62 188 190 61 63
-63 189 191 62 64
-64 190 192 63 65
-65 66 191 193 64
-66 67 192 194 65
-67 66 68 193 195
-68 67 69 194 196
-69 68 70 195 197
-70 198 69 71 196
-71 199 70 72 197
-72 198 200 71 73
-73 199 201 72 74
-74 200 202 73 75
-75 201 203 74 76
-76 77 202 204 75
-77 78 203 205 76
-78 77 79 204 206
-79 78 80 205 207
-80 79 81 206 208
-81 209 80 82 207
-82 210 81 83 208
-83 209 211 82 84
-84 210 212 83 85
-85 211 213 84 86
-86 212 214 85 87
-87 88 213 215 86
-88 89 214 216 87
-89 88 90 215 217
-90 89 91 216 218
-91 90 92 217 219
-92 220 91 93 218
-93 221 92 94 219
-94 220 222 93 95
-95 221 223 94 96
-96 222 224 95 97
-97 223 225 96 98
-98 99 224 226 97
-99 100 225 227 98
-100 99 101 226 228
-101 100 102 227 229
-102 101 103 228 230
-103 231 102 104 229
-104 232 103 105 230
-105 231 233 104 106
-106 232 234 105 107
-107 233 235 106 108
-108 234 236 107 109
-109 110 235 237 108
-110 111 236 238 109
-111 110 112 237 239
-112 111 113 238 240
-113 112 114 239 241
-114 242 113 115 240
-115 243 114 116 241
-116 242 244 115 117
-117 243 245 116 118
-118 244 246 117 119
-119 245 247 118 120
-120 121 246 248 119
-121 122 247 249 120
-122 121 123 248 250
-123 122 124 249 251
-124 123 125 250 252
-125 253 124 126 251
-126 254 125 127 252
-127 253 1 126 128
-128 254 2 127 129
-129 1 3 128 130
-130 2 4 129 131
-131 132 3 5 130
-132 133 4 6 131
-133 132 134 5 7
-134 133 135 6 8
-135 134 136 7 9
-136 135 137 8 10
-137 11 136 138 9
-138 12 137 139 10
-139 11 13 138 140
-140 12 14 139 141
-141 13 15 140 142
-142 143 14 16 141
-143 144 15 17 142
-144 143 145 16 18
-145 144 146 17 19
-146 145 147 18 20
-147 146 148 19 21
-148 22 147 149 20
-149 23 148 150 21
-150 22 24 149 151
-151 23 25 150 152
-152 24 26 151 153
-153 154 25 27 152
-154 155 26 28 153
-155 154 156 27 29
-156 155 157 28 30
-157 156 158 29 31
-158 157 159 30 32
-159 33 158 160 31
-160 34 159 161 32
-161 33 35 160 162
-162 34 36 161 163
-163 35 37 162 164
-164 165 36 38 163
-165 166 37 39 164
-166 165 167 38 40
-167 166 168 39 41
-168 167 169 40 42
-169 168 170 41 43
-170 44 169 171 42
-171 45 170 172 43
-172 44 46 171 173
-173 45 47 172 174
-174 46 48 173 175
-175 176 47 49 174
-176 177 48 50 175
-177 176 178 49 51
-178 177 179 50 52
-179 178 180 51 53
-180 179 181 52 54
-181 55 180 182 53
-182 56 181 183 54
-183 55 57 182 184
-184 56 58 183 185
-185 57 59 184 186
-186 187 58 60 185
-187 188 59 61 186
-188 187 189 60 62
-189 188 190 61 63
-190 189 191 62 64
-191 190 192 63 65
-192 66 191 193 64
-193 67 192 194 65
-194 66 68 193 195
-195 67 69 194 196
-196 68 70 195 197
-197 198 69 71 196
-198 199 70 72 197
-199 198 200 71 73
-200 199 201 72 74
-201 200 202 73 75
-202 201 203 74 76
-203 77 202 204 75
-204 78 203 205 76
-205 77 79 204 206
-206 78 80 205 207
-207 79 81 206 208
-208 209 80 82 207
-209 210 81 83 208
-210 209 211 82 84
-211 210 212 83 85
-212 211 213 84 86
-213 212 214 85 87
-214 88 213 215 86
-215 89 214 216 87
-216 88 90 215 217
-217 89 91 216 218
-218 90 92 217 219
-219 220 91 93 218
-220 221 92 94 219
-221 220 222 93 95
-222 221 223 94 96
-223 222 224 95 97
-224 223 225 96 98
-225 99 224 226 97
-226 100 225 227 98
-227 99 101 226 228
-228 100 102 227 229
-229 101 103 228 230
-230 231 102 104 229
-231 232 103 105 230
-232 231 233 104 106
-233 232 234 105 107
-234 233 235 106 108
-235 234 236 107 109
-236 110 235 237 108
-237 111 236 238 109
-238 110 112 237 239
-239 111 113 238 240
-240 112 114 239 241
-241 242 113 115 240
-242 243 114 116 241
-243 242 244 115 117
-244 243 245 116 118
-245 244 246 117 119
-246 245 247 118 120
-247 121 246 248 119
-248 122 247 249 120
-249 121 123 248 250
-250 122 124 249 251
-251 123 125 250 252
-252 253 124 126 251
-253 254 125 127 252
-254 253 1 126 128
0

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