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