C4graphGraph forms for C4 [ 276, 1 ] = W(138,2)

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On this page are computer-accessible forms for the graph C4[ 276, 1 ] = W(138,2).

(I) Following is a form readable by MAGMA:

g:=Graph<276|{ {2, 3}, {274, 275}, {272, 273}, {270, 271}, {268, 269}, {266, 267}, {264, 265}, {262, 263}, {260, 261}, {258, 259}, {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}, {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}, {52, 53}, {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}, {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}, {1, 2}, {273, 274}, {269, 270}, {265, 266}, {261, 262}, {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}, {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}, {129, 130}, {133, 134}, {137, 138}, {141, 142}, {145, 146}, {149, 150}, {153, 154}, {157, 158}, {161, 162}, {165, 166}, {169, 170}, {173, 174}, {3, 4}, {275, 276}, {267, 268}, {259, 260}, {251, 252}, {243, 244}, {235, 236}, {227, 228}, {219, 220}, {211, 212}, {203, 204}, {195, 196}, {187, 188}, {179, 180}, {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}, {131, 132}, {139, 140}, {147, 148}, {155, 156}, {163, 164}, {171, 172}, {7, 8}, {263, 264}, {247, 248}, {231, 232}, {215, 216}, {199, 200}, {183, 184}, {87, 88}, {71, 72}, {55, 56}, {23, 24}, {39, 40}, {103, 104}, {119, 120}, {135, 136}, {151, 152}, {167, 168}, {15, 16}, {271, 272}, {239, 240}, {207, 208}, {79, 80}, {47, 48}, {111, 112}, {143, 144}, {175, 176}, {31, 32}, {223, 224}, {95, 96}, {159, 160}, {63, 64}, {191, 192}, {2, 139}, {86, 223}, {84, 221}, {82, 219}, {80, 217}, {70, 207}, {68, 205}, {66, 203}, {64, 201}, {54, 191}, {52, 189}, {4, 141}, {6, 143}, {16, 153}, {18, 155}, {20, 157}, {22, 159}, {32, 169}, {34, 171}, {36, 173}, {38, 175}, {48, 185}, {50, 187}, {96, 233}, {98, 235}, {100, 237}, {102, 239}, {112, 249}, {114, 251}, {116, 253}, {118, 255}, {1, 138}, {85, 222}, {84, 223}, {81, 218}, {80, 219}, {69, 206}, {68, 207}, {65, 202}, {64, 203}, {53, 190}, {52, 191}, {4, 143}, {5, 142}, {16, 155}, {17, 154}, {20, 159}, {21, 158}, {32, 171}, {33, 170}, {36, 175}, {37, 174}, {48, 187}, {49, 186}, {96, 235}, {97, 234}, {100, 239}, {101, 238}, {112, 251}, {113, 250}, {116, 255}, {117, 254}, {1, 140}, {83, 222}, {81, 220}, {67, 206}, {65, 204}, {51, 190}, {3, 142}, {17, 156}, {19, 158}, {33, 172}, {35, 174}, {49, 188}, {97, 236}, {99, 238}, {113, 252}, {115, 254}, {2, 141}, {83, 220}, {82, 221}, {67, 204}, {66, 205}, {3, 140}, {18, 157}, {19, 156}, {34, 173}, {35, 172}, {50, 189}, {51, 188}, {98, 237}, {99, 236}, {114, 253}, {115, 252}, {5, 144}, {79, 218}, {77, 216}, {71, 210}, {69, 208}, {7, 146}, {13, 152}, {15, 154}, {37, 176}, {39, 178}, {45, 184}, {47, 186}, {101, 240}, {103, 242}, {109, 248}, {111, 250}, {6, 145}, {79, 216}, {78, 217}, {71, 208}, {70, 209}, {7, 144}, {14, 153}, {15, 152}, {38, 177}, {39, 176}, {46, 185}, {47, 184}, {102, 241}, {103, 240}, {110, 249}, {111, 248}, {8, 145}, {78, 215}, {76, 213}, {74, 211}, {72, 209}, {10, 147}, {12, 149}, {14, 151}, {40, 177}, {42, 179}, {44, 181}, {46, 183}, {104, 241}, {106, 243}, {108, 245}, {110, 247}, {8, 147}, {77, 214}, {76, 215}, {73, 210}, {72, 211}, {9, 146}, {12, 151}, {13, 150}, {40, 179}, {41, 178}, {44, 183}, {45, 182}, {104, 243}, {105, 242}, {108, 247}, {109, 246}, {9, 148}, {75, 214}, {73, 212}, {11, 150}, {41, 180}, {43, 182}, {105, 244}, {107, 246}, {10, 149}, {75, 212}, {74, 213}, {11, 148}, {42, 181}, {43, 180}, {106, 245}, {107, 244}, {21, 160}, {85, 224}, {23, 162}, {29, 168}, {31, 170}, {87, 226}, {93, 232}, {95, 234}, {22, 161}, {86, 225}, {23, 160}, {30, 169}, {31, 168}, {87, 224}, {94, 233}, {95, 232}, {24, 161}, {26, 163}, {28, 165}, {30, 167}, {88, 225}, {90, 227}, {92, 229}, {94, 231}, {24, 163}, {25, 162}, {28, 167}, {29, 166}, {88, 227}, {89, 226}, {92, 231}, {93, 230}, {25, 164}, {27, 166}, {89, 228}, {91, 230}, {26, 165}, {27, 164}, {90, 229}, {91, 228}, {53, 192}, {63, 202}, {61, 200}, {55, 194}, {54, 193}, {63, 200}, {62, 201}, {55, 192}, {56, 193}, {62, 199}, {60, 197}, {58, 195}, {56, 195}, {61, 198}, {60, 199}, {57, 194}, {57, 196}, {59, 198}, {58, 197}, {59, 196}, {127, 128}, {1, 276}, {117, 256}, {119, 258}, {125, 264}, {127, 266}, {118, 257}, {119, 256}, {126, 265}, {127, 264}, {120, 257}, {122, 259}, {124, 261}, {126, 263}, {120, 259}, {121, 258}, {124, 263}, {125, 262}, {121, 260}, {123, 262}, {122, 261}, {123, 260}, {128, 265}, {130, 267}, {132, 269}, {134, 271}, {128, 267}, {129, 266}, {132, 271}, {133, 270}, {129, 268}, {131, 270}, {130, 269}, {131, 268}, {133, 272}, {135, 274}, {134, 273}, {135, 272}, {136, 273}, {138, 275}, {136, 275}, {137, 274}, {137, 276}, {139, 276}, {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: (22, 160)
b: (117, 255)
c: (53, 191)
d: (86, 224)
e: (135, 273)
f: (128, 266)
g: (134, 272)
h: (24, 162)
m: (88, 226)
n1: (30, 168)
a1: (94, 232)
b1: (60, 198)
c1: (14, 152)
d1: (45, 183)
e1: (109, 247)
f1: (78, 216)
g1: (136, 274)
h1: (31, 169)
m1: (95, 233)
n2: (7, 145)
a2: (40, 178)
b2: (104, 242)
c2: (71, 209)
d2: (28, 166)
e2: (92, 230)
f2: (26, 164)
g2: (90, 228)
h2: (32, 170)
m2: (96, 234)
n3: (62, 200)
a3: (129, 267)
b3: (27, 165)
c3: (91, 229)
d3: (10, 148)
e3: (41, 179)
f3: (105, 243)
g3: (74, 212)
h3: (20, 158)
m3: (51, 189)
n4: (115, 253)
a4: (84, 222)
b4: (21, 159)
c4: (118, 256)
d4: (54, 192)
e4: (85, 223)
f4: (19, 157)
g4: (52, 190)
h4: (116, 254)
m4: (83, 221)
n5: (6, 144)
a5: (37, 175)
b5: (101, 239)
c5: (70, 208)
d5: (63, 201)
e5: (8, 146)
f5: (103, 241)
g5: (39, 177)
h5: (72, 210)
m5: (131, 269)
n6: (56, 194)
a6: (3, 141)
b6: (100, 238)
c6: (36, 174)
d6: (67, 205)
e6: (33, 171)
f6: (97, 235)
g6: (66, 204)
h6: (2, 140)
m6: (125, 263)
n7: (9, 147)
a7: (42, 180)
b7: (106, 244)
c7: (73, 211)
d7: (23, 161)
e7: (87, 225)
f7: (123, 261)
g7: (122, 260)
h7: (64, 202)
m7: (4, 142)
n8: (99, 237)
a8: (35, 173)
b8: (120, 258)
c8: (25, 163)
d8: (47, 185)
e8: (111, 249)
f8: (16, 154)
g8: (89, 227)
h8: (80, 218)
m8: (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, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276)
n9: (55, 193)
a9: (58, 196)
b9: (17, 155)
c9: (50, 188)
d9: (114, 252)
e9: (81, 219)
f9: (130, 268)
g9: (5, 143)
h9: (102, 240)
m9: (38, 176)
n10: (69, 207)
a10: (15, 153)
b10: (48, 186)
c10: (112, 250)
d10: (79, 217)
e10: (126, 264)
f10: (127, 265)
g10: (137, 275)
h10: (2, 138)(3, 137)(4, 136)(5, 135)(6, 134)(7, 133)(8, 132)(9, 131)(10, 130)(11, 129)(12, 128)(13, 127)(14, 126)(15, 125)(16, 124)(17, 123)(18, 122)(19, 121)(20, 120)(21, 119)(22, 118)(23, 117)(24, 116)(25, 115)(26, 114)(27, 113)(28, 112)(29, 111)(30, 110)(31, 109)(32, 108)(33, 107)(34, 106)(35, 105)(36, 104)(37, 103)(38, 102)(39, 101)(40, 100)(41, 99)(42, 98)(43, 97)(44, 96)(45, 95)(46, 94)(47, 93)(48, 92)(49, 91)(50, 90)(51, 89)(52, 88)(53, 87)(54, 86)(55, 85)(56, 84)(57, 83)(58, 82)(59, 81)(60, 80)(61, 79)(62, 78)(63, 77)(64, 76)(65, 75)(66, 74)(67, 73)(68, 72)(69, 71)(140, 276)(141, 275)(142, 274)(143, 273)(144, 272)(145, 271)(146, 270)(147, 269)(148, 268)(149, 267)(150, 266)(151, 265)(152, 264)(153, 263)(154, 262)(155, 261)(156, 260)(157, 259)(158, 258)(159, 257)(160, 256)(161, 255)(162, 254)(163, 253)(164, 252)(165, 251)(166, 250)(167, 249)(168, 248)(169, 247)(170, 246)(171, 245)(172, 244)(173, 243)(174, 242)(175, 241)(176, 240)(177, 239)(178, 238)(179, 237)(180, 236)(181, 235)(182, 234)(183, 233)(184, 232)(185, 231)(186, 230)(187, 229)(188, 228)(189, 227)(190, 226)(191, 225)(192, 224)(193, 223)(194, 222)(195, 221)(196, 220)(197, 219)(198, 218)(199, 217)(200, 216)(201, 215)(202, 214)(203, 213)(204, 212)(205, 211)(206, 210)(207, 209)
m10: (133, 271)
n11: (119, 257)
a11: (34, 172)
b11: (98, 236)
c11: (65, 203)
d11: (121, 259)
e11: (61, 199)
f11: (12, 150)
g11: (43, 181)
h11: (107, 245)
m11: (76, 214)
n12: (11, 149)
a12: (44, 182)
b12: (108, 246)
c12: (75, 213)
d12: (18, 156)
e12: (49, 187)
f12: (113, 251)
g12: (82, 220)
h12: (59, 197)
m12: (13, 151)
n13: (46, 184)
a13: (110, 248)
b13: (77, 215)
c13: (57, 195)
d13: (132, 270)
e13: (29, 167)
f13: (93, 231)
g13: (138, 276)
h13: (124, 262)

(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[ 276, 1 ]
276
-1 276 2 138 140
-2 1 3 139 141
-3 2 4 140 142
-4 143 3 5 141
-5 144 4 6 142
-6 143 145 5 7
-7 144 146 6 8
-8 145 147 7 9
-9 146 148 8 10
-10 11 147 149 9
-11 12 148 150 10
-12 11 13 149 151
-13 12 14 150 152
-14 13 15 151 153
-15 154 14 16 152
-16 155 15 17 153
-17 154 156 16 18
-18 155 157 17 19
-19 156 158 18 20
-20 157 159 19 21
-21 22 158 160 20
-22 23 159 161 21
-23 22 24 160 162
-24 23 25 161 163
-25 24 26 162 164
-26 165 25 27 163
-27 166 26 28 164
-28 165 167 27 29
-29 166 168 28 30
-30 167 169 29 31
-31 168 170 30 32
-32 33 169 171 31
-33 34 170 172 32
-34 33 35 171 173
-35 34 36 172 174
-36 35 37 173 175
-37 176 36 38 174
-38 177 37 39 175
-39 176 178 38 40
-40 177 179 39 41
-41 178 180 40 42
-42 179 181 41 43
-43 44 180 182 42
-44 45 181 183 43
-45 44 46 182 184
-46 45 47 183 185
-47 46 48 184 186
-48 187 47 49 185
-49 188 48 50 186
-50 187 189 49 51
-51 188 190 50 52
-52 189 191 51 53
-53 190 192 52 54
-54 55 191 193 53
-55 56 192 194 54
-56 55 57 193 195
-57 56 58 194 196
-58 57 59 195 197
-59 198 58 60 196
-60 199 59 61 197
-61 198 200 60 62
-62 199 201 61 63
-63 200 202 62 64
-64 201 203 63 65
-65 66 202 204 64
-66 67 203 205 65
-67 66 68 204 206
-68 67 69 205 207
-69 68 70 206 208
-70 209 69 71 207
-71 210 70 72 208
-72 209 211 71 73
-73 210 212 72 74
-74 211 213 73 75
-75 212 214 74 76
-76 77 213 215 75
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-80 79 81 217 219
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-83 220 222 82 84
-84 221 223 83 85
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-86 223 225 85 87
-87 88 224 226 86
-88 89 225 227 87
-89 88 90 226 228
-90 89 91 227 229
-91 90 92 228 230
-92 231 91 93 229
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-94 231 233 93 95
-95 232 234 94 96
-96 233 235 95 97
-97 234 236 96 98
-98 99 235 237 97
-99 100 236 238 98
-100 99 101 237 239
-101 100 102 238 240
-102 101 103 239 241
-103 242 102 104 240
-104 243 103 105 241
-105 242 244 104 106
-106 243 245 105 107
-107 244 246 106 108
-108 245 247 107 109
-109 110 246 248 108
-110 111 247 249 109
-111 110 112 248 250
-112 111 113 249 251
-113 112 114 250 252
-114 253 113 115 251
-115 254 114 116 252
-116 253 255 115 117
-117 254 256 116 118
-118 255 257 117 119
-119 256 258 118 120
-120 121 257 259 119
-121 122 258 260 120
-122 121 123 259 261
-123 122 124 260 262
-124 123 125 261 263
-125 264 124 126 262
-126 265 125 127 263
-127 264 266 126 128
-128 265 267 127 129
-129 266 268 128 130
-130 267 269 129 131
-131 132 268 270 130
-132 133 269 271 131
-133 132 134 270 272
-134 133 135 271 273
-135 134 136 272 274
-136 275 135 137 273
-137 276 136 138 274
-138 275 1 137 139
-139 276 2 138 140
-140 1 3 139 141
-141 2 4 140 142
-142 143 3 5 141
-143 144 4 6 142
-144 143 145 5 7
-145 144 146 6 8
-146 145 147 7 9
-147 146 148 8 10
-148 11 147 149 9
-149 12 148 150 10
-150 11 13 149 151
-151 12 14 150 152
-152 13 15 151 153
-153 154 14 16 152
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-170 33 169 171 31
-171 34 170 172 32
-172 33 35 171 173
-173 34 36 172 174
-174 35 37 173 175
-175 176 36 38 174
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-178 177 179 39 41
-179 178 180 40 42
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-184 45 47 183 185
-185 46 48 184 186
-186 187 47 49 185
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-188 187 189 49 51
-189 188 190 50 52
-190 189 191 51 53
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-192 55 191 193 53
-193 56 192 194 54
-194 55 57 193 195
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-240 101 103 239 241
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-244 243 245 105 107
-245 244 246 106 108
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-247 110 246 248 108
-248 111 247 249 109
-249 110 112 248 250
-250 111 113 249 251
-251 112 114 250 252
-252 253 113 115 251
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-255 254 256 116 118
-256 255 257 117 119
-257 256 258 118 120
-258 121 257 259 119
-259 122 258 260 120
-260 121 123 259 261
-261 122 124 260 262
-262 123 125 261 263
-263 264 124 126 262
-264 265 125 127 263
-265 264 266 126 128
-266 265 267 127 129
-267 266 268 128 130
-268 267 269 129 131
-269 132 268 270 130
-270 133 269 271 131
-271 132 134 270 272
-272 133 135 271 273
-273 134 136 272 274
-274 275 135 137 273
-275 276 136 138 274
-276 275 1 137 139
0

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