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