C4graphGraph forms for C4 [ 250, 1 ] = W(125,2)

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On this page are computer-accessible forms for the graph C4[ 250, 1 ] = W(125,2).

(I) Following is a form readable by MAGMA:

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

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

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