Graph forms
for C4 [ 240, 179 ] =
BGCG(UG(ATD[120,55]);K1;{12,14})
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On this page are computer-accessible forms for the graph C4[ 240, 179 ] =
BGCG(UG(ATD[120,55]);K1;{12,14}).
(I) Following is a form readable by MAGMA:
g:=Graph<240|{ {118, 126}, {109, 127}, {104, 123}, {99, 122}, {98, 126}, {100,
121}, {93, 124}, {89, 125}, {87, 123}, {81, 124}, {71, 123}, {62, 127}, {56,
125}, {48, 124}, {51, 124}, {43, 127}, {43, 126}, {33, 121}, {33, 122}, {35,
126}, {26, 121}, {24, 125}, {16, 122}, {19, 121}, {22, 123}, {19, 125}, {14,
127}, {5, 122}, {41, 169}, {54, 182}, {1, 128}, {74, 203}, {67, 194}, {3, 130},
{25, 152}, {44, 173}, {93, 220}, {102, 231}, {109, 236}, {30, 156}, {33, 163},
{40, 170}, {111, 237}, {20, 151}, {63, 188}, {59, 184}, {55, 180}, {52, 183},
{79, 204}, {92, 223}, {98, 225}, {21, 145}, {74, 206}, {69, 193}, {34, 166},
{87, 211}, {8, 141}, {15, 138}, {26, 159}, {42, 175}, {29, 149}, {53, 189}, {83,
219}, {103, 239}, {105, 225}, {25, 144}, {40, 161}, {92, 213}, {73, 195}, {80,
218}, {86, 220}, {45, 166}, {53, 190}, {80, 219}, {49, 189}, {73, 197}, {61,
177}, {82, 222}, {84, 216}, {2, 143}, {76, 193}, {8, 133}, {88, 213}, {91, 214},
{101, 232}, {10, 132}, {66, 204}, {59, 181}, {15, 129}, {88, 214}, {97, 239},
{104, 230}, {106, 229}, {25, 137}, {46, 190}, {96, 240}, {25, 136}, {64, 209},
{53, 164}, {80, 194}, {92, 206}, {12, 159}, {76, 223}, {71, 212}, {68, 215},
{28, 143}, {81, 194}, {90, 201}, {94, 205}, {48, 164}, {14, 155}, {116, 225},
{38, 179}, {114, 231}, {92, 202}, {61, 170}, {81, 198}, {22, 142}, {65, 217},
{64, 216}, {37, 189}, {79, 215}, {12, 149}, {70, 223}, {35, 186}, {46, 183},
{47, 182}, {4, 158}, {12, 150}, {23, 140}, {47, 180}, {26, 134}, {70, 218}, {57,
165}, {35, 191}, {15, 146}, {65, 220}, {17, 140}, {26, 135}, {38, 187}, {60,
162}, {62, 160}, {12, 147}, {68, 219}, {60, 163}, {20, 139}, {31, 128}, {8,
168}, {57, 153}, {28, 188}, {14, 175}, {17, 176}, {39, 134}, {46, 143}, {53,
148}, {5, 167}, {115, 209}, {9, 171}, {11, 169}, {38, 132}, {97, 195}, {83,
240}, {101, 198}, {14, 170}, {66, 230}, {18, 182}, {27, 191}, {96, 196}, {98,
198}, {102, 195}, {120, 221}, {6, 160}, {68, 226}, {10, 172}, {50, 148}, {78,
232}, {19, 180}, {71, 224}, {29, 186}, {77, 234}, {111, 200}, {6, 174}, {99,
203}, {103, 207}, {105, 193}, {36, 141}, {67, 234}, {64, 233}, {62, 151}, {13,
167}, {71, 237}, {66, 232}, {19, 185}, {29, 183}, {48, 154}, {76, 230}, {24,
179}, {63, 148}, {102, 205}, {108, 199}, {118, 218}, {55, 154}, {120, 213}, {41,
135}, {2, 173}, {10, 165}, {36, 139}, {39, 136}, {77, 226}, {54, 134}, {2, 179},
{16, 161}, {20, 165}, {91, 234}, {30, 172}, {38, 148}, {57, 138}, {118, 197},
{90, 233}, {22, 162}, {41, 157}, {103, 211}, {3, 182}, {59, 142}, {34, 151},
{45, 152}, {86, 227}, {7, 177}, {17, 166}, {49, 134}, {41, 145}, {116, 204},
{60, 132}, {108, 212}, {114, 202}, {9, 176}, {54, 143}, {11, 178}, {24, 161},
{50, 139}, {96, 217}, {100, 221}, {15, 181}, {42, 144}, {7, 188}, {16, 171},
{85, 238}, {95, 228}, {27, 167}, {115, 207}, {98, 222}, {110, 210}, {37, 152},
{54, 139}, {86, 235}, {6, 184}, {18, 172}, {35, 157}, {37, 155}, {28, 163}, {60,
131}, {105, 214}, {111, 208}, {4, 196}, {72, 136}, {22, 214}, {106, 170}, {112,
176}, {32, 225}, {67, 130}, {66, 131}, {45, 236}, {83, 146}, {10, 200}, {119,
181}, {115, 177}, {75, 137}, {69, 135}, {23, 213}, {39, 229}, {90, 152}, {97,
163}, {107, 169}, {4, 199}, {73, 138}, {9, 202}, {28, 223}, {4, 192}, {73, 141},
{107, 175}, {99, 166}, {21, 211}, {8, 207}, {42, 237}, {94, 153}, {42, 226},
{79, 135}, {82, 154}, {88, 144}, {2, 203}, {72, 129}, {88, 145}, {113, 184},
{13, 199}, {119, 189}, {95, 149}, {109, 167}, {16, 219}, {23, 220}, {47, 228},
{30, 210}, {43, 231}, {78, 130}, {104, 164}, {112, 188}, {29, 208}, {119, 186},
{61, 240}, {94, 147}, {20, 218}, {85, 155}, {32, 239}, {39, 232}, {78, 158},
{81, 129}, {89, 137}, {103, 183}, {112, 160}, {49, 224}, {117, 164}, {84, 133},
{95, 142}, {1, 211}, {34, 240}, {27, 200}, {79, 156}, {80, 131}, {31, 203}, {59,
239}, {52, 224}, {113, 165}, {72, 157}, {76, 153}, {85, 128}, {89, 140}, {61,
235}, {64, 150}, {84, 130}, {3, 212}, {6, 209}, {7, 208}, {51, 228}, {86, 142},
{105, 177}, {31, 198}, {58, 227}, {55, 238}, {113, 168}, {27, 193}, {70, 156},
{67, 153}, {113, 171}, {69, 158}, {101, 190}, {21, 201}, {58, 230}, {31, 195},
{50, 238}, {110, 178}, {112, 172}, {114, 174}, {56, 229}, {65, 159}, {97, 191},
{100, 186}, {11, 212}, {13, 210}, {87, 136}, {106, 181}, {3, 227}, {75, 171},
{7, 231}, {40, 200}, {77, 173}, {96, 128}, {47, 206}, {56, 217}, {63, 221},
{120, 154}, {74, 168}, {111, 141}, {36, 199}, {117, 150}, {9, 237}, {40, 204},
{87, 179}, {93, 185}, {110, 138}, {1, 228}, {118, 147}, {117, 144}, {33, 196},
{44, 201}, {44, 202}, {116, 146}, {11, 236}, {13, 229}, {74, 162}, {69, 173},
{58, 210}, {82, 187}, {117, 156}, {91, 178}, {37, 207}, {50, 216}, {51, 216},
{58, 209}, {1, 236}, {85, 184}, {104, 133}, {108, 129}, {5, 235}, {46, 192}, {5,
234}, {95, 176}, {18, 226}, {44, 222}, {55, 197}, {109, 159}, {36, 215}, {51,
192}, {100, 151}, {49, 197}, {75, 191}, {77, 185}, {93, 169}, {101, 145}, {78,
187}, {91, 174}, {63, 201}, {108, 155}, {114, 133}, {115, 132}, {102, 158},
{107, 147}, {32, 217}, {75, 178}, {52, 205}, {107, 146}, {52, 206}, {56, 194},
{82, 168}, {18, 233}, {120, 131}, {119, 140}, {24, 227}, {84, 175}, {89, 162},
{90, 161}, {110, 149}, {34, 222}, {72, 180}, {43, 215}, {106, 150}, {32, 221},
{116, 137}, {57, 196}, {45, 208}, {48, 205}, {83, 174}, {21, 235}, {62, 192},
{23, 233}, {30, 224}, {94, 160}, {99, 157}, {17, 238}, {70, 185}, {68, 187},
{65, 190} }>;
(II) A more general form is to represent the graph as the orbit of {118, 126}
under the group generated by the following permutations:
a: (2, 5, 3, 4)(6, 8, 7, 9)(11, 51, 31, 21)(12, 55, 32, 25)(13, 54, 33, 24)(14,
52, 34, 22)(15, 53, 35, 23)(16, 58, 36, 28)(17, 59, 37, 29)(18, 57, 38, 27)(19,
56, 39, 26)(20, 60, 40, 30)(41, 93, 81, 101)(42, 94, 82, 105)(43, 92, 83,
104)(44, 91, 84, 102)(45, 95, 85, 103)(46, 99, 86, 108)(47, 96, 87, 109)(48, 98,
88, 107)(49, 100, 89, 106)(50, 97, 90, 110)(61, 71, 62, 74)(63, 75, 64, 73)(65,
72)(66, 79, 70, 80)(67, 78, 69, 77)(68, 76)(111, 112, 113, 115)(116, 117, 118,
120)(121, 125, 229, 134)(122, 227, 199, 143)(123, 127, 206, 240)(124, 198, 145,
169)(126, 213, 146, 164)(128, 211, 236, 228)(129, 190, 157, 220)(130, 158, 173,
234)(131, 204, 156, 218)(132, 200, 172, 165)(133, 231, 202, 174)(135, 185, 194,
232)(136, 159, 180, 217)(137, 150, 197, 221)(138, 148, 191, 233)(139, 163, 161,
210)(140, 181, 189, 186)(141, 188, 171, 209)(142, 155, 183, 166)(144, 147, 154,
225)(149, 238, 239, 152)(151, 162, 170, 224)(153, 187, 193, 226)(160, 168, 177,
237)(167, 182, 196, 179)(175, 205, 222, 214)(176, 184, 207, 208)(178, 216, 195,
201)(192, 203, 235, 212)(215, 223, 219, 230) (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.
**************
&Graph **************
b: (1, 6, 82, 89, 71, 76, 101, 106, 36, 33)(2, 86, 84, 80, 72, 110, 102, 32, 37,
10)(3, 67, 81, 15, 73, 97, 103, 115, 38, 24)(4, 96, 85, 113, 74, 22, 104, 66,
39, 13)(5, 51, 83, 55, 75, 52, 105, 53, 40, 54)(7, 63, 90, 18, 77, 93, 107, 118,
35, 29)(8, 60, 87, 58, 78, 56, 108, 57, 31, 59)(9, 92, 88, 117, 79, 26, 109, 62,
34, 17)(11, 94, 98, 119, 111, 28, 21, 64, 68, 19)(12, 43, 100, 45, 112, 44, 23,
42, 70, 41)(14, 20, 99, 95, 114, 120, 25, 30, 69, 65)(16, 47, 91, 48, 116, 49,
27, 46, 61, 50)(121, 236, 160, 222, 140, 237, 223, 145, 150, 215)(122, 228, 174,
154, 137, 224, 193, 190, 170, 139)(123, 230, 232, 229, 199, 196, 128, 184, 168,
162)(124, 146, 197, 191, 183, 177, 148, 161, 182, 234)(125, 212, 153, 198, 181,
141, 163, 211, 209, 187)(126, 186, 208, 188, 201, 233, 226, 185, 169, 147)(127,
151, 166, 176, 202, 213, 144, 156, 135, 159)(129, 138, 195, 239, 207, 132, 179,
227, 130, 194)(131, 136, 210, 158, 217, 155, 165, 203, 142, 133)(134, 167, 192,
240, 238, 171, 206, 214, 164, 204)(143, 235, 216, 219, 180, 178, 205, 225, 189,
200)(149, 231, 221, 152, 172, 173, 220, 175, 218, 157)
c: (2, 3)(4, 5)(6, 7)(8, 9)(11, 31)(12, 32)(13, 33)(14, 34)(15, 35)(16, 36)(17,
37)(18, 38)(19, 39)(20, 40)(21, 51)(22, 52)(23, 53)(24, 54)(25, 55)(26, 56)(27,
57)(28, 58)(29, 59)(30, 60)(41, 81)(42, 82)(43, 83)(44, 84)(45, 85)(46, 86)(47,
87)(48, 88)(49, 89)(50, 90)(61, 62)(63, 64)(66, 70)(67, 69)(71, 74)(73, 75)(77,
78)(79, 80)(91, 102)(92, 104)(93, 101)(94, 105)(95, 103)(96, 109)(97, 110)(98,
107)(99, 108)(100, 106)(111, 113)(112, 115)(116, 118)(117, 120)(121, 229)(122,
199)(123, 206)(124, 145)(125, 134)(126, 146)(127, 240)(128, 236)(129, 157)(130,
173)(131, 156)(132, 172)(133, 202)(135, 194)(136, 180)(137, 197)(138, 191)(139,
161)(140, 189)(141, 171)(142, 183)(143, 227)(144, 154)(147, 225)(148, 233)(149,
239)(150, 221)(151, 170)(152, 238)(153, 193)(155, 166)(158, 234)(159, 217)(160,
177)(162, 224)(163, 210)(164, 213)(165, 200)(167, 196)(168, 237)(169, 198)(174,
231)(175, 222)(176, 207)(178, 195)(179, 182)(181, 186)(184, 208)(185, 232)(187,
226)(188, 209)(190, 220)(192, 235)(201, 216)(203, 212)(204, 218)(205, 214)(211,
228)(215, 219)(223, 230)
d: (1, 2, 3, 5)(6, 7, 8, 10)(11, 99, 47, 77)(12, 98, 49, 80)(13, 96, 46, 78)(14,
97, 50, 76)(15, 100, 48, 79)(16, 95, 44, 71)(17, 92, 42, 75)(18, 91, 45, 74)(19,
93, 41, 72)(20, 94, 43, 73)(21, 87, 24, 86)(22, 90)(23, 88, 25, 89)(26, 81)(27,
85, 28, 84)(29, 82, 30, 83)(31, 54, 67, 109)(32, 53, 66, 106)(33, 51, 69,
108)(34, 52, 68, 110)(35, 55, 70, 107)(36, 57, 62, 102)(37, 60, 64, 105)(38, 58,
61, 103)(39, 56, 65, 101)(40, 59, 63, 104)(111, 113, 112, 114)(116, 119, 120,
117)(121, 124, 135, 129)(122, 228, 173, 212)(123, 161, 142, 201)(125, 220, 145,
136)(126, 197, 218, 147)(127, 195, 139, 153)(128, 143, 130, 167)(131, 150, 225,
189)(132, 209, 177, 207)(133, 200, 184, 188)(134, 194, 159, 198)(137, 140, 213,
144)(138, 151, 205, 215)(141, 165, 160, 231)(146, 186, 154, 156)(148, 230, 170,
239)(149, 222, 224, 219)(152, 162, 233, 214)(155, 163, 216, 193)(157, 180, 185,
169)(158, 199, 196, 192)(164, 204, 181, 221)(166, 206, 226, 178)(168, 172, 174,
208)(171, 176, 202, 237)(175, 191, 238, 223)(179, 227, 235, 211)(182, 234, 236,
203)(183, 187, 210, 240)(190, 232, 229, 217)
C4[ 240, 179 ]
240
-1 211 236 128 228
-2 143 179 203 173
-3 212 182 227 130
-4 199 158 192 196
-5 122 167 234 235
-6 209 160 184 174
-7 231 177 188 208
-8 133 168 141 207
-9 176 202 171 237
-10 132 165 200 172
-11 178 212 169 236
-12 147 159 149 150
-13 199 210 167 229
-14 155 170 127 175
-15 146 181 138 129
-16 122 171 161 219
-17 176 166 238 140
-18 233 182 226 172
-19 121 125 180 185
-20 165 139 151 218
-21 145 211 201 235
-22 123 214 162 142
-23 220 233 213 140
-24 179 125 161 227
-25 144 136 137 152
-26 121 134 135 159
-27 167 200 191 193
-28 143 188 223 163
-29 149 183 186 208
-30 210 156 224 172
-31 198 203 128 195
-32 221 225 217 239
-33 121 122 163 196
-34 166 222 151 240
-35 157 191 126 186
-36 199 215 139 141
-37 155 189 152 207
-38 132 187 179 148
-39 232 134 136 229
-40 200 170 204 161
-41 145 135 157 169
-42 144 226 237 175
-43 231 126 127 215
-44 222 201 202 173
-45 166 236 152 208
-46 143 190 192 183
-47 180 182 206 228
-48 154 124 205 164
-49 134 189 224 197
-50 148 139 216 238
-51 124 192 216 228
-52 224 183 205 206
-53 189 190 148 164
-54 143 134 182 139
-55 154 180 238 197
-56 125 194 217 229
-57 165 138 196 153
-58 209 210 227 230
-59 181 184 239 142
-60 132 162 163 131
-61 177 235 170 240
-62 192 127 160 151
-63 188 221 201 148
-64 209 233 150 216
-65 220 190 159 217
-66 232 204 131 230
-67 234 194 130 153
-68 187 215 226 219
-69 135 158 193 173
-70 156 223 185 218
-71 123 212 224 237
-72 157 136 180 129
-73 138 195 141 197
-74 168 203 162 206
-75 178 191 137 171
-76 223 193 153 230
-77 234 226 173 185
-78 187 232 158 130
-79 156 135 204 215
-80 194 218 131 219
-81 198 124 194 129
-82 154 187 222 168
-83 146 174 240 219
-84 133 216 130 175
-85 155 128 238 184
-86 220 235 227 142
-87 123 211 179 136
-88 144 145 213 214
-89 125 137 140 162
-90 233 201 161 152
-91 178 234 214 174
-92 223 202 213 206
-93 220 124 169 185
-94 147 160 205 153
-95 176 149 228 142
-96 128 217 196 240
-97 191 195 239 163
-98 198 222 126 225
-99 122 166 157 203
-100 121 221 151 186
-101 198 232 145 190
-102 231 158 205 195
-103 211 183 239 207
-104 133 123 164 230
-105 177 214 225 193
-106 170 181 150 229
-107 146 147 169 175
-108 155 199 212 129
-109 167 159 236 127
-110 210 178 138 149
-111 200 237 141 208
-112 176 188 160 172
-113 165 168 171 184
-114 231 133 202 174
-115 132 209 177 207
-116 146 137 225 204
-117 144 156 150 164
-118 147 126 218 197
-119 189 181 140 186
-120 154 221 213 131
-121 33 100 26 19
-122 33 99 5 16
-123 22 71 104 87
-124 48 81 93 51
-125 56 89 24 19
-126 35 118 43 98
-127 14 62 43 109
-128 1 85 96 31
-129 15 81 72 108
-130 67 78 3 84
-131 66 80 60 120
-132 38 60 115 10
-133 114 104 84 8
-134 26 49 39 54
-135 79 69 26 41
-136 25 39 72 87
-137 89 25 116 75
-138 110 57 15 73
-139 36 50 20 54
-140 23 89 17 119
-141 111 36 73 8
-142 22 59 95 86
-143 2 46 28 54
-144 88 25 117 42
-145 88 101 41 21
-146 15 83 116 107
-147 12 94 107 118
-148 38 50 63 53
-149 110 12 29 95
-150 12 106 117 64
-151 34 100 62 20
-152 45 90 25 37
-153 67 57 94 76
-154 55 48 82 120
-155 14 37 85 108
-156 79 70 117 30
-157 99 35 72 41
-158 78 69 102 4
-159 12 26 65 109
-160 112 6 94 62
-161 24 90 16 40
-162 22 89 60 74
-163 33 60 28 97
-164 48 104 117 53
-165 57 113 20 10
-166 99 34 45 17
-167 13 5 27 109
-168 113 82 8 74
-169 11 93 41 107
-170 14 61 40 106
-171 113 16 9 75
-172 112 18 30 10
-173 44 77 2 69
-174 91 114 6 83
-175 14 84 107 42
-176 112 17 95 9
-177 115 61 105 7
-178 11 110 91 75
-179 2 24 38 87
-180 55 47 72 19
-181 15 59 106 119
-182 3 47 18 54
-183 46 103 29 52
-184 113 59 6 85
-185 77 70 93 19
-186 100 35 29 119
-187 78 68 38 82
-188 112 28 7 63
-189 37 49 53 119
-190 46 101 53 65
-191 35 27 75 97
-192 46 4 51 62
-193 69 27 105 76
-194 56 67 80 81
-195 102 73 31 97
-196 33 57 4 96
-197 55 49 73 118
-198 101 81 31 98
-199 13 36 4 108
-200 111 27 40 10
-201 44 90 63 21
-202 44 92 114 9
-203 99 2 74 31
-204 66 79 116 40
-205 102 48 94 52
-206 47 92 52 74
-207 37 103 115 8
-208 45 111 7 29
-209 58 115 6 64
-210 110 13 58 30
-211 1 103 21 87
-212 11 3 71 108
-213 88 23 92 120
-214 22 88 91 105
-215 68 79 36 43
-216 50 51 84 64
-217 56 96 32 65
-218 80 70 118 20
-219 68 80 16 83
-220 23 93 86 65
-221 100 63 32 120
-222 44 34 82 98
-223 70 92 28 76
-224 49 71 30 52
-225 105 116 32 98
-226 77 68 18 42
-227 24 3 58 86
-228 1 47 51 95
-229 56 13 39 106
-230 66 58 104 76
-231 102 114 7 43
-232 66 78 101 39
-233 23 90 18 64
-234 77 67 91 5
-235 5 61 86 21
-236 11 1 45 109
-237 111 71 9 42
-238 55 17 50 85
-239 59 103 97 32
-240 34 61 83 96
0