Graph forms
for C4 [ 288, 76 ] = UG(ATD[288,32])
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On this page are computer-accessible forms for the graph C4[ 288, 76 ] =
UG(ATD[288,32]).
(I) Following is a form readable by MAGMA:
g:=Graph<288|{ {66, 67}, {77, 79}, {285, 287}, {281, 283}, {128, 130}, {56, 59},
{93, 94}, {148, 151}, {107, 111}, {235, 239}, {208, 212}, {115, 119}, {114,
118}, {1, 4}, {266, 271}, {226, 231}, {224, 229}, {66, 71}, {17, 20}, {10, 15},
{138, 143}, {1, 7}, {234, 236}, {51, 52}, {202, 205}, {176, 183}, {185, 190},
{22, 30}, {276, 284}, {240, 248}, {183, 191}, {4, 13}, {242, 251}, {215, 222},
{35, 41}, {278, 284}, {116, 126}, {98, 104}, {134, 140}, {1, 10}, {64, 75}, {18,
25}, {148, 159}, {177, 186}, {197, 206}, {65, 77}, {214, 218}, {100, 104}, {179,
191}, {199, 203}, {176, 189}, {272, 285}, {247, 250}, {39, 41}, {112, 126}, {87,
89}, {149, 155}, {198, 200}, {50, 61}, {244, 251}, {11, 27}, {38, 54}, {36, 52},
{1, 16}, {265, 280}, {232, 249}, {44, 61}, {13, 28}, {137, 152}, {4, 22}, {259,
273}, {258, 272}, {199, 213}, {96, 114}, {46, 60}, {43, 57}, {76, 95}, {262,
277}, {260, 279}, {170, 185}, {7, 19}, {262, 274}, {256, 276}, {68, 80}, {33,
53}, {136, 156}, {139, 159}, {169, 188}, {266, 287}, {192, 214}, {268, 282},
{260, 274}, {196, 210}, {108, 123}, {256, 279}, {235, 252}, {137, 158}, {257,
281}, {267, 275}, {171, 178}, {264, 273}, {203, 209}, {239, 245}, {231, 253},
{206, 212}, {4, 31}, {268, 279}, {233, 242}, {75, 80}, {69, 94}, {12, 23}, {142,
149}, {44, 48}, {258, 286}, {175, 179}, {65, 92}, {267, 278}, {263, 282}, {259,
286}, {7, 25}, {270, 272}, {269, 275}, {232, 246}, {32, 62}, {169, 183}, {6,
25}, {261, 282}, {238, 241}, {229, 250}, {205, 237}, {10, 43}, {91, 122}, {16,
49}, {81, 115}, {209, 243}, {13, 46}, {81, 114}, {135, 164}, {139, 168}, {204,
232}, {7, 34}, {210, 247}, {201, 236}, {26, 63}, {28, 58}, {216, 254}, {210,
244}, {70, 96}, {19, 52}, {8, 32}, {264, 288}, {22, 63}, {211, 250}, {6, 44},
{95, 117}, {74, 96}, {10, 33}, {132, 175}, {196, 239}, {26, 54}, {142, 162},
{269, 288}, {8, 38}, {22, 56}, {84, 123}, {132, 171}, {136, 167}, {197, 234},
{13, 61}, {17, 32}, {200, 249}, {88, 105}, {78, 127}, {76, 125}, {64, 113},
{150, 167}, {17, 35}, {145, 163}, {68, 119}, {215, 228}, {85, 102}, {75, 120},
{86, 98}, {128, 180}, {16, 37}, {199, 242}, {77, 120}, {65, 116}, {5, 51}, {74,
124}, {73, 127}, {29, 43}, {3, 52}, {24, 47}, {9, 49}, {222, 230}, {207, 247},
{15, 55}, {84, 109}, {216, 225}, {205, 244}, {129, 184}, {152, 161}, {19, 40},
{85, 110}, {154, 161}, {2, 62}, {218, 230}, {204, 240}, {70, 122}, {130, 190},
{12, 49}, {211, 238}, {208, 237}, {206, 243}, {147, 173}, {67, 124}, {213, 234},
{201, 246}, {23, 87}, {27, 91}, {142, 206}, {46, 111}, {144, 210}, {188, 254},
{31, 92}, {136, 203}, {28, 88}, {61, 121}, {2, 71}, {186, 255}, {135, 193}, {43,
108}, {151, 208}, {181, 253}, {8, 65}, {180, 253}, {24, 83}, {32, 107}, {25,
82}, {160, 235}, {31, 83}, {46, 98}, {156, 208}, {18, 95}, {21, 91}, {54, 121},
{137, 198}, {3, 83}, {62, 110}, {19, 67}, {16, 64}, {34, 112}, {150, 196}, {55,
100}, {154, 201}, {162, 241}, {38, 114}, {41, 125}, {155, 207}, {161, 245},
{182, 226}, {53, 96}, {180, 225}, {37, 115}, {48, 102}, {178, 228}, {9, 94},
{36, 115}, {152, 207}, {21, 77}, {144, 200}, {31, 70}, {129, 216}, {161, 248},
{15, 85}, {55, 109}, {150, 204}, {184, 226}, {56, 99}, {130, 217}, {190, 229},
{14, 82}, {27, 71}, {20, 72}, {188, 224}, {58, 103}, {20, 74}, {50, 108}, {40,
118}, {131, 221}, {151, 201}, {157, 195}, {189, 227}, {2, 93}, {21, 117}, {131,
227}, {143, 239}, {37, 71}, {39, 69}, {185, 219}, {187, 217}, {189, 222}, {11,
111}, {132, 224}, {162, 198}, {15, 106}, {20, 113}, {143, 234}, {166, 195},
{184, 221}, {186, 223}, {177, 215}, {35, 68}, {51, 84}, {40, 79}, {3, 107}, {42,
66}, {18, 123}, {48, 89}, {37, 76}, {179, 218}, {36, 78}, {160, 202}, {181,
223}, {182, 220}, {5, 110}, {60, 87}, {34, 73}, {36, 72}, {183, 219}, {55, 90},
{178, 220}, {38, 73}, {50, 93}, {26, 106}, {153, 233}, {28, 109}, {155, 233},
{156, 238}, {8, 123}, {160, 211}, {54, 66}, {12, 122}, {40, 94}, {153, 238},
{29, 101}, {34, 91}, {50, 72}, {39, 92}, {45, 86}, {132, 255}, {187, 192}, {23,
106}, {170, 215}, {5, 122}, {45, 82}, {30, 97}, {105, 232}, {41, 170}, {2, 134},
{11, 141}, {42, 172}, {21, 146}, {24, 159}, {26, 147}, {81, 216}, {14, 133},
{45, 166}, {29, 150}, {6, 139}, {3, 147}, {14, 158}, {83, 193}, {89, 203}, {30,
141}, {86, 194}, {30, 136}, {53, 163}, {104, 240}, {42, 177}, {63, 164}, {53,
174}, {27, 135}, {58, 166}, {24, 133}, {89, 198}, {59, 155}, {103, 199}, {101,
197}, {47, 141}, {51, 145}, {105, 205}, {6, 163}, {47, 138}, {59, 157}, {99,
197}, {9, 174}, {33, 134}, {11, 163}, {107, 195}, {14, 167}, {99, 202}, {42,
128}, {124, 214}, {45, 134}, {60, 151}, {102, 202}, {9, 164}, {57, 148}, {120,
214}, {57, 137}, {35, 146}, {44, 157}, {33, 146}, {49, 133}, {58, 142}, {56,
140}, {17, 164}, {62, 139}, {39, 145}, {104, 209}, {47, 149}, {18, 172}, {23,
168}, {85, 149}, {88, 152}, {113, 176}, {120, 186}, {118, 181}, {69, 129}, {119,
179}, {124, 184}, {127, 187}, {117, 176}, {90, 156}, {125, 187}, {5, 194}, {103,
160}, {97, 166}, {90, 157}, {125, 181}, {110, 167}, {127, 182}, {126, 180},
{118, 189}, {95, 147}, {79, 130}, {101, 168}, {12, 195}, {106, 165}, {64, 145},
{90, 143}, {84, 140}, {112, 170}, {116, 174}, {87, 140}, {29, 193}, {86, 138},
{112, 173}, {116, 169}, {78, 174}, {74, 171}, {108, 141}, {105, 138}, {73, 175},
{80, 182}, {75, 173}, {76, 171}, {68, 172}, {81, 185}, {67, 169}, {109, 135},
{70, 172}, {69, 175}, {121, 146}, {80, 188}, {72, 165}, {88, 168}, {93, 173},
{48, 193}, {113, 128}, {111, 158}, {97, 144}, {103, 148}, {100, 144}, {117,
129}, {119, 131}, {59, 204}, {82, 165}, {60, 196}, {92, 165}, {57, 194}, {100,
159}, {98, 153}, {97, 154}, {101, 153}, {102, 154}, {121, 133}, {63, 194}, {99,
158}, {79, 178}, {126, 131}, {78, 177}, {162, 268}, {191, 266}, {191, 260},
{190, 256}, {219, 283}, {207, 269}, {212, 278}, {200, 270}, {192, 263}, {231,
288}, {220, 283}, {213, 274}, {213, 286}, {236, 288}, {212, 281}, {217, 267},
{219, 264}, {221, 265}, {223, 265}, {217, 259}, {220, 262}, {218, 257}, {223,
260}, {209, 269}, {222, 258}, {211, 271}, {192, 285}, {221, 259}, {241, 273},
{228, 261}, {248, 281}, {245, 276}, {224, 258}, {226, 256}, {246, 277}, {255,
284}, {227, 263}, {241, 277}, {244, 273}, {247, 274}, {242, 276}, {248, 286},
{225, 262}, {252, 283}, {233, 270}, {231, 271}, {245, 287}, {243, 280}, {243,
287}, {228, 266}, {246, 280}, {249, 278}, {252, 270}, {230, 277}, {230, 275},
{254, 267}, {252, 265}, {236, 282}, {249, 271}, {255, 264}, {235, 275}, {237,
279}, {251, 257}, {254, 261}, {225, 285}, {253, 257}, {240, 268}, {229, 280},
{250, 263}, {237, 272}, {251, 261}, {227, 284} }>;
(II) A more general form is to represent the graph as the orbit of {66, 67}
under the group generated by the following permutations:
a: (1, 4, 13, 28, 58, 103, 160, 211, 250, 229, 190, 130, 79, 40, 19, 7)(2, 5,
14, 29, 59, 104, 161, 212, 251, 230, 191, 131, 80, 41, 20, 8)(3, 6, 15, 30, 60,
105, 162, 213, 252, 231, 192, 132, 81, 42, 21, 9)(10, 22, 46, 88, 142, 199, 235,
271, 263, 224, 185, 128, 77, 94, 52, 25)(11, 23, 47, 89, 143, 200, 236, 272,
264, 225, 186, 129, 78, 95, 53, 26)(12, 24, 48, 90, 144, 201, 237, 273, 262,
223, 184, 127, 76, 96, 54, 27)(16, 31, 61, 109, 166, 148, 202, 238, 247, 280,
256, 217, 178, 118, 67, 34)(17, 32, 62, 110, 167, 150, 204, 240, 248, 281, 257,
218, 179, 119, 68, 35)(18, 33, 63, 111, 168, 149, 203, 239, 249, 282, 258, 219,
180, 120, 69, 36)(37, 70, 121, 135, 195, 159, 102, 156, 210, 246, 279, 259, 220,
181, 124, 73)(38, 71, 122, 133, 193, 157, 100, 154, 208, 244, 277, 260, 221,
182, 125, 74)(39, 72, 123, 134, 194, 158, 101, 155, 209, 245, 278, 261, 222,
183, 126, 75)(43, 56, 98, 152, 206, 242, 275, 266, 227, 188, 170, 113, 65, 93,
51, 82)(44, 55, 97, 151, 205, 241, 274, 265, 226, 187, 171, 114, 66, 91, 49,
83)(45, 57, 99, 153, 207, 243, 276, 267, 228, 189, 169, 112, 64, 92, 50, 84)(85,
136, 196, 232, 268, 286, 283, 253, 214, 175, 115, 172, 146, 164, 107, 139)(86,
137, 197, 233, 269, 287, 284, 254, 215, 176, 116, 173, 145, 165, 108, 140)(87,
138, 198, 234, 270, 288, 285, 255, 216, 177, 117, 174, 147, 163, 106, 141) (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, 164, 3, 123)(4, 7, 10, 16)(5, 72, 11, 54)(6, 146, 12, 92)(8, 62, 17,
107)(9, 83, 18, 134)(13, 34, 15, 64)(14, 96)(19, 43, 37, 22)(20, 111, 38,
110)(21, 23, 39, 44)(24, 172, 45, 174)(25, 33, 49, 31)(26, 51, 50, 27)(28, 112,
55, 75)(29, 76, 56, 40)(30, 67, 57, 115)(35, 195, 65, 139)(36, 141, 66, 194)(41,
157, 77, 168)(42, 86, 78, 47)(46, 73, 85, 113)(48, 117, 87, 69)(52, 108, 71,
63)(53, 133, 70, 82)(58, 126, 100, 80)(59, 79, 101, 125)(60, 175, 102, 176)(61,
91, 106, 145)(68, 166, 116, 159)(74, 158, 114, 167)(81, 136, 124, 137)(84, 93,
135, 147)(88, 170, 90, 120)(89, 129)(94, 193, 95, 140)(97, 169, 148, 119)(98,
127, 149, 128)(99, 118, 150, 171)(103, 131, 144, 188)(104, 182, 142, 180)(105,
215, 143, 186)(109, 173)(121, 122, 165, 163)(130, 153, 187, 155)(132, 202, 189,
196)(138, 177)(151, 179, 154, 183)(152, 185, 156, 214)(160, 227, 210, 224)(161,
219, 208, 218)(162, 225, 209, 226)(178, 197, 181, 204)(184, 198, 216, 203)(190,
238, 192, 207)(191, 201)(199, 221, 200, 254)(205, 222, 239, 255)(206, 253, 240,
220)(211, 263, 247, 229)(212, 257, 248, 283)(213, 265, 249, 261)(217, 233)(223,
232, 228, 234)(230, 245, 264, 237)(231, 268, 262, 243)(235, 284, 244, 258)(236,
260, 246, 266)(241, 285, 269, 256)(242, 259, 270, 267)(251, 286, 252, 278)(271,
282, 274, 280)(272, 275, 276, 273)(277, 287, 288, 279)
c: (1, 2, 122, 123)(3, 165, 121, 164)(4, 93, 12, 8)(5, 18, 10, 71)(6, 53, 11,
145)(7, 134, 91, 84)(9, 107, 92, 61)(13, 94, 195, 65)(14, 35, 193, 36)(15, 66,
194, 95)(16, 62, 70, 108)(17, 83, 72, 133)(19, 45, 21, 109)(20, 24)(22, 173, 23,
38)(25, 33, 27, 51)(28, 40, 166, 77)(29, 115, 167, 68)(30, 75, 168, 114)(31, 50,
49, 32)(34, 140)(37, 110, 172, 43)(39, 44, 174, 111)(41, 48, 78, 158)(42, 57,
76, 85)(46, 69, 157, 116)(47, 113, 159, 74)(52, 82, 146, 135)(54, 63, 147,
106)(55, 67, 86, 117)(56, 112, 87, 73)(58, 79)(59, 126, 60, 175)(64, 139, 96,
141)(80, 101, 81, 136)(88, 118, 97, 120)(89, 127, 99, 170)(90, 169, 98,
129)(100, 124, 138, 176)(102, 177, 137, 125)(103, 178, 142, 130)(104, 184, 143,
183)(105, 189, 144, 214)(119, 150)(128, 148, 171, 149)(131, 196, 179, 204)(132,
155, 180, 151)(152, 181, 154, 186)(153, 216, 156, 188)(160, 228, 162, 217)(161,
223)(182, 197, 185, 203)(187, 202, 215, 198)(190, 199, 220, 206)(191, 240, 221,
239)(192, 205, 222, 200)(201, 255, 207, 253)(208, 224, 233, 225)(209, 226, 234,
219)(210, 218, 232, 227)(211, 261, 241, 267)(212, 229, 242, 262)(213, 283, 243,
256)(230, 249, 263, 244)(231, 236, 264, 269)(235, 266, 268, 259)(237, 258, 270,
285)(238, 254)(245, 260, 248, 265)(246, 284, 247, 257)(250, 251, 277, 278)(252,
287, 279, 286)(271, 282, 273, 275)(274, 281, 280, 276)
C4[ 288, 76 ]
288
-1 4 16 7 10
-2 134 71 93 62
-3 147 83 52 107
-4 22 1 13 31
-5 110 122 51 194
-6 44 25 139 163
-7 1 34 25 19
-8 123 38 32 65
-9 49 94 174 164
-10 33 1 15 43
-11 111 27 141 163
-12 23 122 49 195
-13 46 4 28 61
-14 133 167 158 82
-15 55 106 85 10
-16 1 37 49 64
-17 35 20 32 164
-18 123 25 95 172
-19 67 7 40 52
-20 113 17 72 74
-21 77 91 146 117
-22 56 4 30 63
-23 12 168 106 87
-24 133 47 159 83
-25 82 6 7 18
-26 147 106 63 54
-27 11 91 135 71
-28 88 13 58 109
-29 101 193 150 43
-30 22 136 97 141
-31 4 70 92 83
-32 17 62 8 107
-33 134 146 53 10
-34 112 91 7 73
-35 68 146 17 41
-36 78 115 72 52
-37 16 71 115 76
-38 114 73 8 54
-39 145 69 92 41
-40 79 94 19 118
-41 35 125 170 39
-42 66 177 128 172
-43 57 29 108 10
-44 157 48 6 61
-45 166 134 82 86
-46 111 13 60 98
-47 24 138 149 141
-48 44 89 102 193
-49 12 133 16 9
-50 93 61 72 108
-51 145 5 84 52
-52 3 36 51 19
-53 33 96 163 174
-54 66 121 26 38
-55 100 90 15 109
-56 22 99 59 140
-57 137 148 194 43
-58 166 103 28 142
-59 56 155 157 204
-60 46 151 196 87
-61 44 121 13 50
-62 110 2 139 32
-63 22 26 194 164
-64 145 113 16 75
-65 77 92 116 8
-66 67 71 42 54
-67 66 124 169 19
-68 35 80 172 119
-69 39 94 129 175
-70 122 172 96 31
-71 66 2 37 27
-72 165 36 50 20
-73 34 38 127 175
-74 124 171 96 20
-75 80 173 64 120
-76 37 125 171 95
-77 79 21 65 120
-78 177 36 127 174
-79 77 178 40 130
-80 188 68 182 75
-81 114 115 216 185
-82 165 45 14 25
-83 24 3 193 31
-84 123 51 140 109
-85 110 102 15 149
-86 45 138 194 98
-87 23 89 60 140
-88 168 28 105 152
-89 198 48 203 87
-90 55 143 156 157
-91 34 122 27 21
-92 165 39 31 65
-93 2 50 94 173
-94 69 93 40 9
-95 147 18 117 76
-96 70 114 74 53
-97 154 144 166 30
-98 46 104 86 153
-99 56 158 202 197
-100 55 144 104 159
-101 168 29 153 197
-102 154 48 202 85
-103 199 58 148 160
-104 209 100 240 98
-105 88 232 138 205
-106 165 23 15 26
-107 111 3 195 32
-108 123 50 141 43
-109 55 135 28 84
-110 167 5 62 85
-111 11 46 158 107
-112 34 126 170 173
-113 176 128 20 64
-114 81 38 96 118
-115 36 37 81 119
-116 169 126 174 65
-117 176 95 129 21
-118 189 114 181 40
-119 68 179 115 131
-120 77 214 75 186
-121 133 146 61 54
-122 12 91 70 5
-123 18 84 8 108
-124 67 214 74 184
-125 187 181 41 76
-126 112 180 116 131
-127 187 78 182 73
-128 113 180 42 130
-129 69 117 216 184
-130 79 190 128 217
-131 221 126 227 119
-132 255 224 171 175
-133 121 24 14 49
-134 33 45 2 140
-135 27 193 109 164
-136 156 167 203 30
-137 198 57 158 152
-138 143 47 105 86
-139 168 159 6 62
-140 56 134 84 87
-141 11 47 30 108
-142 58 149 162 206
-143 90 234 138 239
-144 100 210 200 97
-145 39 51 64 163
-146 33 121 35 21
-147 3 26 95 173
-148 57 103 159 151
-149 155 47 85 142
-150 167 204 29 196
-151 201 60 148 208
-152 88 137 161 207
-153 101 233 238 98
-154 102 201 161 97
-155 233 59 149 207
-156 90 136 238 208
-157 44 90 59 195
-158 99 111 14 137
-159 100 24 148 139
-160 211 103 202 235
-161 154 245 248 152
-162 198 268 142 241
-163 11 145 6 53
-164 135 17 63 9
-165 92 82 72 106
-166 45 58 195 97
-167 110 14 136 150
-168 88 23 101 139
-169 67 188 116 183
-170 112 215 41 185
-171 132 178 74 76
-172 68 70 18 42
-173 112 147 93 75
-174 78 116 9 53
-175 132 69 179 73
-176 189 113 117 183
-177 78 215 42 186
-178 220 79 171 228
-179 191 119 218 175
-180 253 126 225 128
-181 253 223 125 118
-182 220 80 127 226
-183 176 169 191 219
-184 221 124 226 129
-185 190 81 170 219
-186 177 255 223 120
-187 125 192 127 217
-188 254 80 169 224
-189 176 222 227 118
-190 256 130 185 229
-191 266 179 183 260
-192 187 214 263 285
-193 135 48 83 29
-194 57 5 63 86
-195 12 166 157 107
-196 210 60 150 239
-197 99 101 234 206
-198 89 200 137 162
-199 242 103 213 203
-200 198 144 270 249
-201 154 246 236 151
-202 99 102 160 205
-203 209 89 199 136
-204 232 59 150 240
-205 244 202 105 237
-206 243 212 142 197
-207 155 247 269 152
-208 156 212 237 151
-209 243 104 203 269
-210 144 244 247 196
-211 160 238 271 250
-212 278 281 206 208
-213 286 199 234 274
-214 124 192 218 120
-215 177 222 170 228
-216 254 81 225 129
-217 187 267 259 130
-218 179 257 214 230
-219 264 183 283 185
-220 178 182 283 262
-221 265 259 184 131
-222 189 258 215 230
-223 265 181 260 186
-224 132 188 258 229
-225 180 216 262 285
-226 231 256 182 184
-227 189 284 131 263
-228 178 266 215 261
-229 190 224 280 250
-230 275 222 277 218
-231 253 288 226 271
-232 246 105 204 249
-233 242 155 270 153
-234 143 213 236 197
-235 275 160 239 252
-236 288 201 234 282
-237 279 205 272 208
-238 156 211 153 241
-239 143 245 235 196
-240 268 104 204 248
-241 277 238 162 273
-242 199 276 233 251
-243 209 287 280 206
-244 210 205 251 273
-245 276 287 161 239
-246 232 277 201 280
-247 210 250 207 274
-248 286 281 161 240
-249 232 200 278 271
-250 211 247 229 263
-251 242 244 257 261
-252 265 235 270 283
-253 231 180 257 181
-254 188 267 216 261
-255 132 264 284 186
-256 276 190 279 226
-257 253 281 218 251
-258 286 222 224 272
-259 286 221 217 273
-260 223 191 279 274
-261 254 282 228 251
-262 220 277 225 274
-263 192 227 282 250
-264 255 288 273 219
-265 221 223 280 252
-266 287 191 271 228
-267 275 254 278 217
-268 279 282 162 240
-269 209 275 288 207
-270 200 233 272 252
-271 231 211 266 249
-272 258 237 270 285
-273 264 244 259 241
-274 213 247 260 262
-275 267 235 269 230
-276 242 245 256 284
-277 246 262 230 241
-278 212 267 249 284
-279 256 268 237 260
-280 243 265 246 229
-281 212 257 248 283
-282 268 236 261 263
-283 220 281 219 252
-284 276 255 278 227
-285 287 192 225 272
-286 213 258 248 259
-287 243 266 245 285
-288 231 264 236 269
0