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