C4graphGraph forms for C4 [ 242, 1 ] = W(121,2)

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On this page are computer-accessible forms for the graph C4[ 242, 1 ] = W(121,2).

(I) Following is a form readable by MAGMA:

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

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

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