C4graphGraph forms for C4 [ 230, 1 ] = W(115,2)

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On this page are computer-accessible forms for the graph C4[ 230, 1 ] = W(115,2).

(I) Following is a form readable by MAGMA:

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

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

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