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On this page are computer-accessible forms for the graph C4[ 258, 1 ] = W(129,2).

(I) Following is a form readable by MAGMA:

g:=Graph<258|{ {2, 3}, {256, 257}, {254, 255}, {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}, {168, 169}, {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}, {1, 2}, {257, 258}, {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}, {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}, {127, 255}, {1, 131}, {81, 211}, {80, 210}, {77, 207}, {76, 206}, {73, 203}, {72, 202}, {69, 199}, {68, 198}, {65, 195}, {64, 194}, {61, 191}, {60, 190}, {57, 187}, {56, 186}, {53, 183}, {52, 182}, {49, 179}, {48, 178}, {4, 134}, {5, 135}, {8, 138}, {9, 139}, {12, 142}, {13, 143}, {16, 146}, {17, 147}, {20, 150}, {21, 151}, {24, 154}, {25, 155}, {28, 158}, {29, 159}, {32, 162}, {33, 163}, {36, 166}, {37, 167}, {40, 170}, {41, 171}, {44, 174}, {45, 175}, {84, 214}, {85, 215}, {88, 218}, {89, 219}, {92, 222}, {93, 223}, {96, 226}, {97, 227}, {100, 230}, {101, 231}, {104, 234}, {105, 235}, {108, 238}, {109, 239}, {112, 242}, {113, 243}, {116, 246}, {117, 247}, {120, 250}, {121, 251}, {124, 254}, {125, 255}, {2, 132}, {75, 205}, {74, 204}, {67, 197}, {66, 196}, {59, 189}, {58, 188}, {51, 181}, {50, 180}, {3, 133}, {10, 140}, {11, 141}, {18, 148}, {19, 149}, {26, 156}, {27, 157}, {34, 164}, {35, 165}, {42, 172}, {43, 173}, {82, 212}, {83, 213}, {90, 220}, {91, 221}, {98, 228}, {99, 229}, {106, 236}, {107, 237}, {114, 244}, {115, 245}, {122, 252}, {123, 253}, {6, 136}, {71, 201}, {70, 200}, {55, 185}, {54, 184}, {7, 137}, {22, 152}, {23, 153}, {38, 168}, {39, 169}, {86, 216}, {87, 217}, {102, 232}, {103, 233}, {118, 248}, {119, 249}, {14, 144}, {79, 209}, {78, 208}, {15, 145}, {46, 176}, {47, 177}, {110, 240}, {111, 241}, {30, 160}, {31, 161}, {94, 224}, {95, 225}, {62, 192}, {63, 193}, {127, 128}, {1, 258}, {126, 256}, {127, 257}, {128, 256}, {129, 257}, {130, 258}, {128, 258}, {255, 256} }>;

(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: (129, 258)
b: (33, 162)
c: (97, 226)
d: (65, 194)
e: (123, 252)
f: (91, 220)
g: (27, 156)
h: (59, 188)
m: (114, 243)
n1: (50, 179)
a1: (16, 145)
b1: (80, 209)
c1: (22, 151)
d1: (86, 215)
e1: (66, 195)
f1: (2, 131)
g1: (125, 254)
h1: (29, 158)
m1: (93, 222)
n2: (61, 190)
a2: (10, 139)
b2: (74, 203)
c2: (9, 138)
d2: (41, 170)
e2: (105, 234)
f2: (73, 202)
g2: (126, 255)
h2: (62, 191)
m2: (118, 247)
n3: (54, 183)
a3: (100, 229)
b3: (36, 165)
c3: (104, 233)
d3: (40, 169)
e3: (26, 155)
f3: (90, 219)
g3: (3, 132)
h3: (99, 228)
m3: (35, 164)
n4: (67, 196)
a4: (32, 161)
b4: (96, 225)
c4: (128, 257)
d4: (18, 147)
e4: (82, 211)
f4: (127, 256)
g4: (31, 160)
h4: (95, 224)
m4: (63, 192)
n5: (122, 251)
a5: (58, 187)
b5: (120, 249)
c5: (56, 185)
d5: (2, 129)(3, 128)(4, 127)(5, 126)(6, 125)(7, 124)(8, 123)(9, 122)(10, 121)(11, 120)(12, 119)(13, 118)(14, 117)(15, 116)(16, 115)(17, 114)(18, 113)(19, 112)(20, 111)(21, 110)(22, 109)(23, 108)(24, 107)(25, 106)(26, 105)(27, 104)(28, 103)(29, 102)(30, 101)(31, 100)(32, 99)(33, 98)(34, 97)(35, 96)(36, 95)(37, 94)(38, 93)(39, 92)(40, 91)(41, 90)(42, 89)(43, 88)(44, 87)(45, 86)(46, 85)(47, 84)(48, 83)(49, 82)(50, 81)(51, 80)(52, 79)(53, 78)(54, 77)(55, 76)(56, 75)(57, 74)(58, 73)(59, 72)(60, 71)(61, 70)(62, 69)(63, 68)(64, 67)(65, 66)(131, 258)(132, 257)(133, 256)(134, 255)(135, 254)(136, 253)(137, 252)(138, 251)(139, 250)(140, 249)(141, 248)(142, 247)(143, 246)(144, 245)(145, 244)(146, 243)(147, 242)(148, 241)(149, 240)(150, 239)(151, 238)(152, 237)(153, 236)(154, 235)(155, 234)(156, 233)(157, 232)(158, 231)(159, 230)(160, 229)(161, 228)(162, 227)(163, 226)(164, 225)(165, 224)(166, 223)(167, 222)(168, 221)(169, 220)(170, 219)(171, 218)(172, 217)(173, 216)(174, 215)(175, 214)(176, 213)(177, 212)(178, 211)(179, 210)(180, 209)(181, 208)(182, 207)(183, 206)(184, 205)(185, 204)(186, 203)(187, 202)(188, 201)(189, 200)(190, 199)(191, 198)(192, 197)(193, 196)(194, 195)
e5: (121, 250)
f5: (89, 218)
g5: (25, 154)
h5: (57, 186)
m5: (110, 239)
n6: (46, 175)
a6: (28, 157)
b6: (92, 221)
c6: (4, 133)
d6: (68, 197)
e6: (102, 231)
f6: (44, 173)
g6: (108, 237)
h6: (38, 167)
m6: (34, 163)
n7: (98, 227)
a7: (117, 246)
b7: (85, 214)
c7: (21, 150)
d7: (53, 182)
e7: (15, 144)
f7: (79, 208)
g7: (47, 176)
h7: (111, 240)
m7: (11, 140)
n8: (43, 172)
a8: (107, 236)
b8: (75, 204)
c8: (5, 134)
d8: (101, 230)
e8: (37, 166)
f8: (69, 198)
g8: (112, 241)
h8: (48, 177)
m8: (8, 137)
n9: (72, 201)
a9: (119, 248)
b9: (87, 216)
c9: (23, 152)
d9: (55, 184)
e9: (116, 245)
f9: (52, 181)
g9: (20, 149)
h9: (84, 213)
m9: (106, 235)
n10: (42, 171)
a10: (14, 143)
b10: (78, 207)
c10: (7, 136)
d10: (39, 168)
e10: (103, 232)
f10: (71, 200)
g10: (124, 253)
h10: (60, 189)
m10: (115, 244)
n11: (51, 180)
a11: (83, 212)
b11: (19, 148)
c11: (12, 141)
d11: (76, 205)
e11: (24, 153)
f11: (88, 217)
g11: (6, 135)
h11: (70, 199)
m11: (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, 255, 256, 257, 258)
n12: (30, 159)
a12: (94, 223)
b12: (13, 142)
c12: (45, 174)
d12: (109, 238)
e12: (77, 206)
f12: (17, 146)
g12: (81, 210)
h12: (49, 178)
m12: (113, 242)

(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[ 258, 1 ]
258
-1 2 258 129 131
-2 132 1 3 130
-3 133 2 4 131
-4 132 134 3 5
-5 133 135 4 6
-6 134 136 5 7
-7 135 137 6 8
-8 136 138 7 9
-9 137 139 8 10
-10 11 138 140 9
-11 12 139 141 10
-12 11 13 140 142
-13 143 12 14 141
-14 144 13 15 142
-15 143 145 14 16
-16 144 146 15 17
-17 145 147 16 18
-18 146 148 17 19
-19 147 149 18 20
-20 148 150 19 21
-21 22 149 151 20
-22 23 150 152 21
-23 22 24 151 153
-24 154 23 25 152
-25 155 24 26 153
-26 154 156 25 27
-27 155 157 26 28
-28 156 158 27 29
-29 157 159 28 30
-30 158 160 29 31
-31 159 161 30 32
-32 33 160 162 31
-33 34 161 163 32
-34 33 35 162 164
-35 165 34 36 163
-36 166 35 37 164
-37 165 167 36 38
-38 166 168 37 39
-39 167 169 38 40
-40 168 170 39 41
-41 169 171 40 42
-42 170 172 41 43
-43 44 171 173 42
-44 45 172 174 43
-45 44 46 173 175
-46 176 45 47 174
-47 177 46 48 175
-48 176 178 47 49
-49 177 179 48 50
-50 178 180 49 51
-51 179 181 50 52
-52 180 182 51 53
-53 181 183 52 54
-54 55 182 184 53
-55 56 183 185 54
-56 55 57 184 186
-57 187 56 58 185
-58 188 57 59 186
-59 187 189 58 60
-60 188 190 59 61
-61 189 191 60 62
-62 190 192 61 63
-63 191 193 62 64
-64 192 194 63 65
-65 66 193 195 64
-66 67 194 196 65
-67 66 68 195 197
-68 198 67 69 196
-69 199 68 70 197
-70 198 200 69 71
-71 199 201 70 72
-72 200 202 71 73
-73 201 203 72 74
-74 202 204 73 75
-75 203 205 74 76
-76 77 204 206 75
-77 78 205 207 76
-78 77 79 206 208
-79 209 78 80 207
-80 210 79 81 208
-81 209 211 80 82
-82 210 212 81 83
-83 211 213 82 84
-84 212 214 83 85
-85 213 215 84 86
-86 214 216 85 87
-87 88 215 217 86
-88 89 216 218 87
-89 88 90 217 219
-90 220 89 91 218
-91 221 90 92 219
-92 220 222 91 93
-93 221 223 92 94
-94 222 224 93 95
-95 223 225 94 96
-96 224 226 95 97
-97 225 227 96 98
-98 99 226 228 97
-99 100 227 229 98
-100 99 101 228 230
-101 231 100 102 229
-102 232 101 103 230
-103 231 233 102 104
-104 232 234 103 105
-105 233 235 104 106
-106 234 236 105 107
-107 235 237 106 108
-108 236 238 107 109
-109 110 237 239 108
-110 111 238 240 109
-111 110 112 239 241
-112 242 111 113 240
-113 243 112 114 241
-114 242 244 113 115
-115 243 245 114 116
-116 244 246 115 117
-117 245 247 116 118
-118 246 248 117 119
-119 247 249 118 120
-120 121 248 250 119
-121 122 249 251 120
-122 121 123 250 252
-123 253 122 124 251
-124 254 123 125 252
-125 253 255 124 126
-126 254 256 125 127
-127 255 257 126 128
-128 256 258 127 129
-129 1 257 128 130
-130 2 258 129 131
-131 132 1 3 130
-132 133 2 4 131
-133 132 134 3 5
-134 133 135 4 6
-135 134 136 5 7
-136 135 137 6 8
-137 136 138 7 9
-138 137 139 8 10
-139 11 138 140 9
-140 12 139 141 10
-141 11 13 140 142
-142 143 12 14 141
-143 144 13 15 142
-144 143 145 14 16
-145 144 146 15 17
-146 145 147 16 18
-147 146 148 17 19
-148 147 149 18 20
-149 148 150 19 21
-150 22 149 151 20
-151 23 150 152 21
-152 22 24 151 153
-153 154 23 25 152
-154 155 24 26 153
-155 154 156 25 27
-156 155 157 26 28
-157 156 158 27 29
-158 157 159 28 30
-159 158 160 29 31
-160 159 161 30 32
-161 33 160 162 31
-162 34 161 163 32
-163 33 35 162 164
-164 165 34 36 163
-165 166 35 37 164
-166 165 167 36 38
-167 166 168 37 39
-168 167 169 38 40
-169 168 170 39 41
-170 169 171 40 42
-171 170 172 41 43
-172 44 171 173 42
-173 45 172 174 43
-174 44 46 173 175
-175 176 45 47 174
-176 177 46 48 175
-177 176 178 47 49
-178 177 179 48 50
-179 178 180 49 51
-180 179 181 50 52
-181 180 182 51 53
-182 181 183 52 54
-183 55 182 184 53
-184 56 183 185 54
-185 55 57 184 186
-186 187 56 58 185
-187 188 57 59 186
-188 187 189 58 60
-189 188 190 59 61
-190 189 191 60 62
-191 190 192 61 63
-192 191 193 62 64
-193 192 194 63 65
-194 66 193 195 64
-195 67 194 196 65
-196 66 68 195 197
-197 198 67 69 196
-198 199 68 70 197
-199 198 200 69 71
-200 199 201 70 72
-201 200 202 71 73
-202 201 203 72 74
-203 202 204 73 75
-204 203 205 74 76
-205 77 204 206 75
-206 78 205 207 76
-207 77 79 206 208
-208 209 78 80 207
-209 210 79 81 208
-210 209 211 80 82
-211 210 212 81 83
-212 211 213 82 84
-213 212 214 83 85
-214 213 215 84 86
-215 214 216 85 87
-216 88 215 217 86
-217 89 216 218 87
-218 88 90 217 219
-219 220 89 91 218
-220 221 90 92 219
-221 220 222 91 93
-222 221 223 92 94
-223 222 224 93 95
-224 223 225 94 96
-225 224 226 95 97
-226 225 227 96 98
-227 99 226 228 97
-228 100 227 229 98
-229 99 101 228 230
-230 231 100 102 229
-231 232 101 103 230
-232 231 233 102 104
-233 232 234 103 105
-234 233 235 104 106
-235 234 236 105 107
-236 235 237 106 108
-237 236 238 107 109
-238 110 237 239 108
-239 111 238 240 109
-240 110 112 239 241
-241 242 111 113 240
-242 243 112 114 241
-243 242 244 113 115
-244 243 245 114 116
-245 244 246 115 117
-246 245 247 116 118
-247 246 248 117 119
-248 247 249 118 120
-249 121 248 250 119
-250 122 249 251 120
-251 121 123 250 252
-252 253 122 124 251
-253 254 123 125 252
-254 253 255 124 126
-255 254 256 125 127
-256 255 257 126 128
-257 256 258 127 129
-258 1 257 128 130
0

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