C4graphGraph forms for C4 [ 232, 7 ] = R_116(60,59)

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On this page are computer-accessible forms for the graph C4[ 232, 7 ] = R_116(60,59).

(I) Following is a form readable by MAGMA:

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

(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: (34, 149)(35, 93)(36, 209)(92, 207)(94, 151)(150, 208)
b: (10, 125)(11, 69)(12, 185)(68, 183)(70, 127)(126, 184)
c: (49, 164)(50, 223)(107, 222)(108, 165)
d: (20, 135)(21, 79)(22, 195)(78, 193)(80, 137)(136, 194)
e: (8, 123)(9, 67)(10, 183)(66, 181)(68, 125)(124, 182)
f: (42, 157)(43, 101)(44, 217)(100, 215)(102, 159)(158, 216)
g: (51, 166)(52, 225)(109, 224)(110, 167)
h: (29, 144)(30, 203)(87, 202)(88, 145)
m: (12, 127)(13, 71)(14, 187)(70, 185)(72, 129)(128, 186)
n1: (50, 165)(51, 109)(52, 225)(108, 223)(110, 167)(166, 224)
a1: (17, 132)(18, 191)(75, 190)(76, 133)
b1: (52, 167)(53, 111)(54, 227)(110, 225)(112, 169)(168, 226)
c1: (55, 170)(56, 229)(113, 228)(114, 171)
d1: (37, 152)(38, 211)(95, 210)(96, 153)
e1: (30, 145)(31, 89)(32, 205)(88, 203)(90, 147)(146, 204)
f1: (53, 168)(54, 227)(111, 226)(112, 169)
g1: (6, 121)(7, 65)(8, 181)(64, 179)(66, 123)(122, 180)
h1: (38, 153)(39, 97)(40, 213)(96, 211)(98, 155)(154, 212)
m1: (31, 146)(32, 205)(89, 204)(90, 147)
n2: (13, 128)(14, 187)(71, 186)(72, 129)
a2: (14, 129)(15, 73)(16, 189)(72, 187)(74, 131)(130, 188)
b2: (33, 148)(34, 207)(91, 206)(92, 149)
c2: (24, 139)(25, 83)(26, 199)(82, 197)(84, 141)(140, 198)
d2: (21, 136)(22, 195)(79, 194)(80, 137)
e2: (11, 126)(12, 185)(69, 184)(70, 127)
f2: (16, 131)(17, 75)(18, 191)(74, 189)(76, 133)(132, 190)
g2: (9, 124)(10, 183)(67, 182)(68, 125)
h2: (48, 163)(49, 107)(50, 223)(106, 221)(108, 165)(164, 222)
m2: (32, 147)(33, 91)(34, 207)(90, 205)(92, 149)(148, 206)
n3: (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)
a3: (41, 156)(42, 215)(99, 214)(100, 157)
b3: (54, 169)(55, 113)(56, 229)(112, 227)(114, 171)(170, 228)
c3: (25, 140)(26, 199)(83, 198)(84, 141)
d3: (4, 119)(5, 63)(6, 179)(62, 177)(64, 121)(120, 178)
e3: (36, 151)(37, 95)(38, 211)(94, 209)(96, 153)(152, 210)
f3: (22, 137)(23, 81)(24, 197)(80, 195)(82, 139)(138, 196)
g3: (27, 142)(28, 201)(85, 200)(86, 143)
h3: (47, 162)(48, 221)(105, 220)(106, 163)
m3: (7, 122)(8, 181)(65, 180)(66, 123)
n4: (23, 138)(24, 197)(81, 196)(82, 139)
a4: (44, 159)(45, 103)(46, 219)(102, 217)(104, 161)(160, 218)
b4: (28, 143)(29, 87)(30, 203)(86, 201)(88, 145)(144, 202)
c4: (43, 158)(44, 217)(101, 216)(102, 159)
d4: (26, 141)(27, 85)(28, 201)(84, 199)(86, 143)(142, 200)
e4: (5, 120)(6, 179)(63, 178)(64, 121)
f4: (57, 172)(58, 231)(115, 230)(116, 173)
g4: (45, 160)(46, 219)(103, 218)(104, 161)
h4: (46, 161)(47, 105)(48, 221)(104, 219)(106, 163)(162, 220)
m4: (56, 171)(57, 115)(58, 231)(114, 229)(116, 173)(172, 230)
n5: (19, 134)(20, 193)(77, 192)(78, 135)
a5: (40, 155)(41, 99)(42, 215)(98, 213)(100, 157)(156, 214)
b5: (15, 130)(16, 189)(73, 188)(74, 131)
c5: (2, 173)(3, 57)(4, 56)(5, 55)(6, 54)(7, 53)(8, 52)(9, 51)(10, 50)(11, 49)(12, 48)(13, 47)(14, 46)(15, 45)(16, 44)(17, 43)(18, 42)(19, 41)(20, 40)(21, 39)(22, 38)(23, 37)(24, 36)(25, 35)(26, 34)(27, 33)(28, 32)(29, 31)(58, 175)(60, 231)(61, 115)(62, 114)(63, 113)(64, 112)(65, 111)(66, 110)(67, 109)(68, 108)(69, 107)(70, 106)(71, 105)(72, 104)(73, 103)(74, 102)(75, 101)(76, 100)(77, 99)(78, 98)(79, 97)(80, 96)(81, 95)(82, 94)(83, 93)(84, 92)(85, 91)(86, 90)(87, 89)(116, 117)(118, 230)(119, 229)(120, 228)(121, 227)(122, 226)(123, 225)(124, 224)(125, 223)(126, 222)(127, 221)(128, 220)(129, 219)(130, 218)(131, 217)(132, 216)(133, 215)(134, 214)(135, 213)(136, 212)(137, 211)(138, 210)(139, 209)(140, 208)(141, 207)(142, 206)(143, 205)(144, 204)(145, 203)(146, 202)(147, 201)(148, 200)(149, 199)(150, 198)(151, 197)(152, 196)(153, 195)(154, 194)(155, 193)(156, 192)(157, 191)(158, 190)(159, 189)(160, 188)(161, 187)(162, 186)(163, 185)(164, 184)(165, 183)(166, 182)(167, 181)(168, 180)(169, 179)(170, 178)(171, 177)(172, 176)(174, 232)
d5: (18, 133)(19, 77)(20, 193)(76, 191)(78, 135)(134, 192)
e5: (39, 154)(40, 213)(97, 212)(98, 155)
f5: (35, 150)(36, 209)(93, 208)(94, 151)

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

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