C4graphGraph forms for C4 [ 238, 1 ] = W(119,2)

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On this page are computer-accessible forms for the graph C4[ 238, 1 ] = W(119,2).

(I) Following is a form readable by MAGMA:

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

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

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