C4graphGraph forms for C4 [ 248, 1 ] = W(124,2)

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On this page are computer-accessible forms for the graph C4[ 248, 1 ] = W(124,2).

(I) Following is a form readable by MAGMA:

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

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

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